TSTP Solution File: SYN706-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN706-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 23:57:00 EDT 2022
% Result : Unsatisfiable 121.56s 78.40s
% Output : Proof 121.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYN706-1 : TPTP v8.1.0. Released v2.5.0.
% 0.02/0.09 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.09/0.30 % Computer : n025.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Sep 5 06:49:34 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.09/0.30 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.09/0.30 Usage: tptp [options] [-file:]file
% 0.09/0.30 -h, -? prints this message.
% 0.09/0.30 -smt2 print SMT-LIB2 benchmark.
% 0.09/0.30 -m, -model generate model.
% 0.09/0.30 -p, -proof generate proof.
% 0.09/0.30 -c, -core generate unsat core of named formulas.
% 0.09/0.30 -st, -statistics display statistics.
% 0.09/0.30 -t:timeout set timeout (in second).
% 0.09/0.30 -smt2status display status in smt2 format instead of SZS.
% 0.09/0.30 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.09/0.30 -<param>:<value> configuration parameter and value.
% 0.09/0.30 -o:<output-file> file to place output in.
% 121.56/78.40 % SZS status Unsatisfiable
% 121.56/78.40 % SZS output start Proof
% 121.56/78.40 tff(p37_type, type, (
% 121.56/78.40 p37: ( $i * $i ) > $o)).
% 121.56/78.40 tff(f38_type, type, (
% 121.56/78.40 f38: ( $i * $i ) > $i)).
% 121.56/78.40 tff(c58_type, type, (
% 121.56/78.40 c58: $i)).
% 121.56/78.40 tff(f40_type, type, (
% 121.56/78.40 f40: ( $i * $i ) > $i)).
% 121.56/78.40 tff(c50_type, type, (
% 121.56/78.40 c50: $i)).
% 121.56/78.40 tff(c59_type, type, (
% 121.56/78.40 c59: $i)).
% 121.56/78.40 tff(f8_type, type, (
% 121.56/78.40 f8: ( $i * $i ) > $i)).
% 121.56/78.40 tff(f11_type, type, (
% 121.56/78.40 f11: ( $i * $i ) > $i)).
% 121.56/78.40 tff(f14_type, type, (
% 121.56/78.40 f14: ( $i * $i ) > $i)).
% 121.56/78.40 tff(f35_type, type, (
% 121.56/78.40 f35: ( $i * $i ) > $i)).
% 121.56/78.40 tff(c52_type, type, (
% 121.56/78.40 c52: $i)).
% 121.56/78.40 tff(f17_type, type, (
% 121.56/78.40 f17: ( $i * $i ) > $i)).
% 121.56/78.40 tff(c55_type, type, (
% 121.56/78.40 c55: $i)).
% 121.56/78.40 tff(c54_type, type, (
% 121.56/78.40 c54: $i)).
% 121.56/78.40 tff(c61_type, type, (
% 121.56/78.40 c61: $i)).
% 121.56/78.40 tff(p7_type, type, (
% 121.56/78.40 p7: ( $i * $i ) > $o)).
% 121.56/78.40 tff(p6_type, type, (
% 121.56/78.40 p6: ( $i * $i ) > $o)).
% 121.56/78.40 tff(p36_type, type, (
% 121.56/78.40 p36: ( $i * $i ) > $o)).
% 121.56/78.40 tff(p48_type, type, (
% 121.56/78.40 p48: ( $i * $i ) > $o)).
% 121.56/78.40 tff(c60_type, type, (
% 121.56/78.40 c60: $i)).
% 121.56/78.40 tff(p46_type, type, (
% 121.56/78.40 p46: ( $i * $i ) > $o)).
% 121.56/78.40 tff(f5_type, type, (
% 121.56/78.40 f5: ( $i * $i ) > $i)).
% 121.56/78.40 tff(c49_type, type, (
% 121.56/78.40 c49: $i)).
% 121.56/78.40 tff(f23_type, type, (
% 121.56/78.40 f23: ( $i * $i ) > $i)).
% 121.56/78.40 tff(c53_type, type, (
% 121.56/78.40 c53: $i)).
% 121.56/78.40 tff(p45_type, type, (
% 121.56/78.40 p45: ( $i * $i ) > $o)).
% 121.56/78.40 tff(f20_type, type, (
% 121.56/78.40 f20: ( $i * $i ) > $i)).
% 121.56/78.40 tff(p19_type, type, (
% 121.56/78.40 p19: ( $i * $i ) > $o)).
% 121.56/78.40 tff(p47_type, type, (
% 121.56/78.40 p47: ( $i * $i ) > $o)).
% 121.56/78.40 tff(1,plain,
% 121.56/78.40 (^[X159: $i] : refl(p7(X159, X159) <=> p7(X159, X159))),
% 121.56/78.40 inference(bind,[status(th)],[])).
% 121.56/78.40 tff(2,plain,
% 121.56/78.40 (![X159: $i] : p7(X159, X159) <=> ![X159: $i] : p7(X159, X159)),
% 121.56/78.40 inference(quant_intro,[status(thm)],[1])).
% 121.56/78.40 tff(3,plain,
% 121.56/78.40 (![X159: $i] : p7(X159, X159) <=> ![X159: $i] : p7(X159, X159)),
% 121.56/78.40 inference(rewrite,[status(thm)],[])).
% 121.56/78.40 tff(4,axiom,(![X159: $i] : p7(X159, X159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p7_3')).
% 121.56/78.40 tff(5,plain,
% 121.56/78.40 (![X159: $i] : p7(X159, X159)),
% 121.56/78.40 inference(modus_ponens,[status(thm)],[4, 3])).
% 121.56/78.40 tff(6,plain,(
% 121.56/78.40 ![X159: $i] : p7(X159, X159)),
% 121.56/78.40 inference(skolemize,[status(sab)],[5])).
% 121.56/78.40 tff(7,plain,
% 121.56/78.40 (![X159: $i] : p7(X159, X159)),
% 121.56/78.40 inference(modus_ponens,[status(thm)],[6, 2])).
% 121.56/78.40 tff(8,plain,
% 121.56/78.40 ((~![X159: $i] : p7(X159, X159)) | p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))),
% 121.56/78.40 inference(quant_inst,[status(thm)],[])).
% 121.56/78.40 tff(9,plain,
% 121.56/78.40 (p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))),
% 121.56/78.40 inference(unit_resolution,[status(thm)],[8, 7])).
% 121.56/78.40 tff(10,plain,
% 121.56/78.40 (^[X166: $i, X167: $i] : refl(p7(f8(f11(c54, f14(f17(c55, X166), f35(X167, X166))), X167), X167) <=> p7(f8(f11(c54, f14(f17(c55, X166), f35(X167, X166))), X167), X167))),
% 121.56/78.40 inference(bind,[status(th)],[])).
% 121.56/78.40 tff(11,plain,
% 121.56/78.40 (![X166: $i, X167: $i] : p7(f8(f11(c54, f14(f17(c55, X166), f35(X167, X166))), X167), X167) <=> ![X166: $i, X167: $i] : p7(f8(f11(c54, f14(f17(c55, X166), f35(X167, X166))), X167), X167)),
% 121.56/78.40 inference(quant_intro,[status(thm)],[10])).
% 121.56/78.40 tff(12,plain,
% 121.56/78.40 (![X166: $i, X167: $i] : p7(f8(f11(c54, f14(f17(c55, X166), f35(X167, X166))), X167), X167) <=> ![X166: $i, X167: $i] : p7(f8(f11(c54, f14(f17(c55, X166), f35(X167, X166))), X167), X167)),
% 121.56/78.40 inference(rewrite,[status(thm)],[])).
% 121.56/78.40 tff(13,axiom,(![X166: $i, X167: $i] : p7(f8(f11(c54, f14(f17(c55, X166), f35(X167, X166))), X167), X167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p7_59')).
% 121.56/78.40 tff(14,plain,
% 121.56/78.40 (![X166: $i, X167: $i] : p7(f8(f11(c54, f14(f17(c55, X166), f35(X167, X166))), X167), X167)),
% 121.56/78.40 inference(modus_ponens,[status(thm)],[13, 12])).
% 121.56/78.40 tff(15,plain,(
% 121.56/78.40 ![X166: $i, X167: $i] : p7(f8(f11(c54, f14(f17(c55, X166), f35(X167, X166))), X167), X167)),
% 121.56/78.40 inference(skolemize,[status(sab)],[14])).
% 121.56/78.40 tff(16,plain,
% 121.56/78.40 (![X166: $i, X167: $i] : p7(f8(f11(c54, f14(f17(c55, X166), f35(X167, X166))), X167), X167)),
% 121.56/78.40 inference(modus_ponens,[status(thm)],[15, 11])).
% 121.56/78.40 tff(17,plain,
% 121.56/78.40 ((~![X166: $i, X167: $i] : p7(f8(f11(c54, f14(f17(c55, X166), f35(X167, X166))), X167), X167)) | p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))),
% 121.56/78.40 inference(quant_inst,[status(thm)],[])).
% 121.56/78.40 tff(18,plain,
% 121.56/78.40 (p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))),
% 121.56/78.40 inference(unit_resolution,[status(thm)],[17, 16])).
% 121.56/78.40 tff(19,plain,
% 121.56/78.40 (^[X159: $i, X161: $i, X160: $i] : refl(((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161)) <=> ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161)))),
% 121.56/78.40 inference(bind,[status(th)],[])).
% 121.56/78.40 tff(20,plain,
% 121.56/78.40 (![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161)) <=> ![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))),
% 121.56/78.40 inference(quant_intro,[status(thm)],[19])).
% 121.56/78.40 tff(21,plain,
% 121.56/78.40 (![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161)) <=> ![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))),
% 121.56/78.40 inference(rewrite,[status(thm)],[])).
% 121.56/78.40 tff(22,plain,
% 121.56/78.40 (^[X159: $i, X161: $i, X160: $i] : trans(monotonicity(rewrite((p7(X160, X161) | (~p7(X159, X160))) <=> ((~p7(X159, X160)) | p7(X160, X161))), (((p7(X160, X161) | (~p7(X159, X160))) | (~p7(X159, X161))) <=> (((~p7(X159, X160)) | p7(X160, X161)) | (~p7(X159, X161))))), rewrite((((~p7(X159, X160)) | p7(X160, X161)) | (~p7(X159, X161))) <=> ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))), (((p7(X160, X161) | (~p7(X159, X160))) | (~p7(X159, X161))) <=> ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))))),
% 121.56/78.40 inference(bind,[status(th)],[])).
% 121.56/78.40 tff(23,plain,
% 121.56/78.40 (![X159: $i, X161: $i, X160: $i] : ((p7(X160, X161) | (~p7(X159, X160))) | (~p7(X159, X161))) <=> ![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))),
% 121.56/78.40 inference(quant_intro,[status(thm)],[22])).
% 121.56/78.40 tff(24,axiom,(![X159: $i, X161: $i, X160: $i] : ((p7(X160, X161) | (~p7(X159, X160))) | (~p7(X159, X161)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p7_32')).
% 121.56/78.40 tff(25,plain,
% 121.56/78.40 (![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))),
% 121.56/78.40 inference(modus_ponens,[status(thm)],[24, 23])).
% 121.56/78.40 tff(26,plain,
% 121.56/78.40 (![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))),
% 121.56/78.40 inference(modus_ponens,[status(thm)],[25, 21])).
% 121.56/78.40 tff(27,plain,(
% 121.56/78.40 ![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))),
% 121.56/78.40 inference(skolemize,[status(sab)],[26])).
% 121.56/78.40 tff(28,plain,
% 121.56/78.40 (![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))),
% 121.56/78.40 inference(modus_ponens,[status(thm)],[27, 20])).
% 121.56/78.40 tff(29,plain,
% 121.56/78.40 (((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))) <=> ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | (~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))),
% 121.56/78.41 inference(rewrite,[status(thm)],[])).
% 121.56/78.41 tff(30,plain,
% 121.56/78.41 (((~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) <=> ((~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))),
% 121.56/78.41 inference(rewrite,[status(thm)],[])).
% 121.56/78.41 tff(31,plain,
% 121.56/78.41 (((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) <=> ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))))),
% 121.56/78.41 inference(monotonicity,[status(thm)],[30])).
% 121.56/78.41 tff(32,plain,
% 121.56/78.41 (((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) <=> ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | (~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))),
% 121.62/78.41 inference(transitivity,[status(thm)],[31, 29])).
% 121.62/78.41 tff(33,plain,
% 121.62/78.41 ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))),
% 121.62/78.41 inference(quant_inst,[status(thm)],[])).
% 121.62/78.41 tff(34,plain,
% 121.62/78.41 ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | (~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))),
% 121.62/78.42 inference(modus_ponens,[status(thm)],[33, 32])).
% 121.62/78.42 tff(35,plain,
% 121.62/78.42 (p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))),
% 121.62/78.42 inference(unit_resolution,[status(thm)],[34, 28, 18, 9])).
% 121.62/78.42 tff(36,plain,
% 121.62/78.42 ((~![X159: $i] : p7(X159, X159)) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))),
% 121.62/78.42 inference(quant_inst,[status(thm)],[])).
% 121.62/78.42 tff(37,plain,
% 121.62/78.42 (p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))),
% 121.62/78.42 inference(unit_resolution,[status(thm)],[36, 7])).
% 121.62/78.42 tff(38,plain,
% 121.62/78.42 (^[X152: $i] : refl(p6(X152, X152) <=> p6(X152, X152))),
% 121.62/78.42 inference(bind,[status(th)],[])).
% 121.62/78.42 tff(39,plain,
% 121.62/78.42 (![X152: $i] : p6(X152, X152) <=> ![X152: $i] : p6(X152, X152)),
% 121.62/78.42 inference(quant_intro,[status(thm)],[38])).
% 121.62/78.42 tff(40,plain,
% 121.62/78.42 (![X152: $i] : p6(X152, X152) <=> ![X152: $i] : p6(X152, X152)),
% 121.62/78.42 inference(rewrite,[status(thm)],[])).
% 121.62/78.42 tff(41,axiom,(![X152: $i] : p6(X152, X152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p6_4')).
% 121.62/78.42 tff(42,plain,
% 121.62/78.42 (![X152: $i] : p6(X152, X152)),
% 121.62/78.42 inference(modus_ponens,[status(thm)],[41, 40])).
% 121.62/78.42 tff(43,plain,(
% 121.62/78.42 ![X152: $i] : p6(X152, X152)),
% 121.62/78.42 inference(skolemize,[status(sab)],[42])).
% 121.62/78.42 tff(44,plain,
% 121.62/78.42 (![X152: $i] : p6(X152, X152)),
% 121.62/78.42 inference(modus_ponens,[status(thm)],[43, 39])).
% 121.62/78.42 tff(45,plain,
% 121.62/78.42 ((~![X152: $i] : p6(X152, X152)) | p6(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f11(c54, f14(f17(c55, c52), f35(c58, c52))))),
% 121.62/78.42 inference(quant_inst,[status(thm)],[])).
% 121.62/78.42 tff(46,plain,
% 121.62/78.42 (p6(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f11(c54, f14(f17(c55, c52), f35(c58, c52))))),
% 121.62/78.42 inference(unit_resolution,[status(thm)],[45, 44])).
% 121.62/78.42 tff(47,plain,
% 121.62/78.42 ((~![X166: $i, X167: $i] : p7(f8(f11(c54, f14(f17(c55, X166), f35(X167, X166))), X167), X167)) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)),
% 121.62/78.42 inference(quant_inst,[status(thm)],[])).
% 121.62/78.42 tff(48,plain,
% 121.62/78.42 (p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)),
% 121.62/78.42 inference(unit_resolution,[status(thm)],[47, 16])).
% 121.62/78.42 tff(49,plain,
% 121.62/78.42 (^[X163: $i, X162: $i, X165: $i, X164: $i] : refl(((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165))) <=> ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165))))),
% 121.62/78.42 inference(bind,[status(th)],[])).
% 121.62/78.42 tff(50,plain,
% 121.62/78.42 (![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165))) <=> ![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))),
% 121.62/78.42 inference(quant_intro,[status(thm)],[49])).
% 121.62/78.42 tff(51,plain,
% 121.62/78.42 (![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165))) <=> ![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))),
% 121.62/78.42 inference(rewrite,[status(thm)],[])).
% 121.62/78.42 tff(52,plain,
% 121.62/78.42 (^[X163: $i, X162: $i, X165: $i, X164: $i] : trans(monotonicity(rewrite((p7(f8(X162, X163), f8(X164, X165)) | (~p6(X162, X164))) <=> ((~p6(X162, X164)) | p7(f8(X162, X163), f8(X164, X165)))), (((p7(f8(X162, X163), f8(X164, X165)) | (~p6(X162, X164))) | (~p7(X163, X165))) <=> (((~p6(X162, X164)) | p7(f8(X162, X163), f8(X164, X165))) | (~p7(X163, X165))))), rewrite((((~p6(X162, X164)) | p7(f8(X162, X163), f8(X164, X165))) | (~p7(X163, X165))) <=> ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))), (((p7(f8(X162, X163), f8(X164, X165)) | (~p6(X162, X164))) | (~p7(X163, X165))) <=> ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))))),
% 121.62/78.42 inference(bind,[status(th)],[])).
% 121.62/78.42 tff(53,plain,
% 121.62/78.42 (![X163: $i, X162: $i, X165: $i, X164: $i] : ((p7(f8(X162, X163), f8(X164, X165)) | (~p6(X162, X164))) | (~p7(X163, X165))) <=> ![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))),
% 121.62/78.42 inference(quant_intro,[status(thm)],[52])).
% 121.62/78.42 tff(54,axiom,(![X163: $i, X162: $i, X165: $i, X164: $i] : ((p7(f8(X162, X163), f8(X164, X165)) | (~p6(X162, X164))) | (~p7(X163, X165)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p7_62')).
% 121.62/78.42 tff(55,plain,
% 121.62/78.42 (![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))),
% 121.62/78.42 inference(modus_ponens,[status(thm)],[54, 53])).
% 121.62/78.42 tff(56,plain,
% 121.62/78.42 (![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))),
% 121.62/78.42 inference(modus_ponens,[status(thm)],[55, 51])).
% 121.62/78.42 tff(57,plain,(
% 121.62/78.42 ![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))),
% 121.62/78.42 inference(skolemize,[status(sab)],[56])).
% 121.62/78.42 tff(58,plain,
% 121.62/78.42 (![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))),
% 121.62/78.42 inference(modus_ponens,[status(thm)],[57, 50])).
% 121.62/78.42 tff(59,plain,
% 121.62/78.42 (((~![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))) | ((~p6(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f11(c54, f14(f17(c55, c52), f35(c58, c52))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) <=> ((~![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))) | (~p6(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f11(c54, f14(f17(c55, c52), f35(c58, c52))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))),
% 121.62/78.42 inference(rewrite,[status(thm)],[])).
% 121.62/78.42 tff(60,plain,
% 121.62/78.42 ((~![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))) | ((~p6(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f11(c54, f14(f17(c55, c52), f35(c58, c52))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))),
% 121.62/78.42 inference(quant_inst,[status(thm)],[])).
% 121.62/78.42 tff(61,plain,
% 121.62/78.42 ((~![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))) | (~p6(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f11(c54, f14(f17(c55, c52), f35(c58, c52))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))),
% 121.62/78.42 inference(modus_ponens,[status(thm)],[60, 59])).
% 121.62/78.42 tff(62,plain,
% 121.62/78.42 (p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))),
% 121.62/78.42 inference(unit_resolution,[status(thm)],[61, 58, 48, 46])).
% 121.62/78.42 tff(63,plain,
% 121.62/78.42 (((~![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))) | ((~p6(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f11(c54, f14(f17(c55, c52), f35(c58, c52))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) <=> ((~![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))) | (~p6(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f11(c54, f14(f17(c55, c52), f35(c58, c52))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))),
% 121.62/78.42 inference(rewrite,[status(thm)],[])).
% 121.62/78.42 tff(64,plain,
% 121.62/78.42 ((~![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))) | ((~p6(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f11(c54, f14(f17(c55, c52), f35(c58, c52))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))),
% 121.62/78.42 inference(quant_inst,[status(thm)],[])).
% 121.62/78.42 tff(65,plain,
% 121.62/78.42 ((~![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))) | (~p6(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f11(c54, f14(f17(c55, c52), f35(c58, c52))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))),
% 121.62/78.42 inference(modus_ponens,[status(thm)],[64, 63])).
% 121.62/78.42 tff(66,plain,
% 121.62/78.42 (p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))),
% 121.62/78.42 inference(unit_resolution,[status(thm)],[65, 58, 46, 62])).
% 121.62/78.42 tff(67,plain,
% 121.62/78.42 (((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | (p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))) <=> ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))),
% 121.62/78.42 inference(rewrite,[status(thm)],[])).
% 121.62/78.42 tff(68,plain,
% 121.62/78.42 (((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) <=> (p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))),
% 121.62/78.42 inference(rewrite,[status(thm)],[])).
% 121.62/78.42 tff(69,plain,
% 121.62/78.42 (((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) <=> ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | (p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))))),
% 121.62/78.43 inference(monotonicity,[status(thm)],[68])).
% 121.62/78.43 tff(70,plain,
% 121.62/78.43 (((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) <=> ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))),
% 121.62/78.43 inference(transitivity,[status(thm)],[69, 67])).
% 121.62/78.43 tff(71,plain,
% 121.62/78.43 ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))),
% 121.62/78.43 inference(quant_inst,[status(thm)],[])).
% 121.62/78.43 tff(72,plain,
% 121.62/78.43 ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))),
% 121.62/78.43 inference(modus_ponens,[status(thm)],[71, 70])).
% 121.62/78.43 tff(73,plain,
% 121.62/78.43 (p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))),
% 121.62/78.43 inference(unit_resolution,[status(thm)],[72, 28, 66, 37])).
% 121.62/78.43 tff(74,plain,
% 121.62/78.43 (((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) <=> ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))),
% 121.62/78.43 inference(rewrite,[status(thm)],[])).
% 121.62/78.43 tff(75,plain,
% 121.62/78.43 (((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) <=> ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))),
% 121.62/78.43 inference(rewrite,[status(thm)],[])).
% 121.62/78.43 tff(76,plain,
% 121.62/78.43 (((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) <=> ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))),
% 121.64/78.43 inference(monotonicity,[status(thm)],[75])).
% 121.64/78.43 tff(77,plain,
% 121.64/78.43 (((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) <=> ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))),
% 121.64/78.43 inference(transitivity,[status(thm)],[76, 74])).
% 121.64/78.43 tff(78,plain,
% 121.64/78.43 ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))),
% 121.64/78.43 inference(quant_inst,[status(thm)],[])).
% 121.64/78.43 tff(79,plain,
% 121.64/78.43 ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))),
% 121.64/78.44 inference(modus_ponens,[status(thm)],[78, 77])).
% 121.64/78.44 tff(80,plain,
% 121.64/78.44 (p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))),
% 121.64/78.44 inference(unit_resolution,[status(thm)],[79, 28, 73, 35])).
% 121.64/78.44 tff(81,plain,
% 121.64/78.44 (^[X88: $i] : refl(p36(X88, X88) <=> p36(X88, X88))),
% 121.64/78.44 inference(bind,[status(th)],[])).
% 121.64/78.44 tff(82,plain,
% 121.64/78.44 (![X88: $i] : p36(X88, X88) <=> ![X88: $i] : p36(X88, X88)),
% 121.64/78.44 inference(quant_intro,[status(thm)],[81])).
% 121.64/78.44 tff(83,plain,
% 121.64/78.44 (![X88: $i] : p36(X88, X88) <=> ![X88: $i] : p36(X88, X88)),
% 121.64/78.44 inference(rewrite,[status(thm)],[])).
% 121.64/78.44 tff(84,axiom,(![X88: $i] : p36(X88, X88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p36_11')).
% 121.64/78.44 tff(85,plain,
% 121.64/78.44 (![X88: $i] : p36(X88, X88)),
% 121.64/78.44 inference(modus_ponens,[status(thm)],[84, 83])).
% 121.64/78.44 tff(86,plain,(
% 121.64/78.44 ![X88: $i] : p36(X88, X88)),
% 121.64/78.44 inference(skolemize,[status(sab)],[85])).
% 121.64/78.44 tff(87,plain,
% 121.64/78.44 (![X88: $i] : p36(X88, X88)),
% 121.64/78.44 inference(modus_ponens,[status(thm)],[86, 82])).
% 121.64/78.44 tff(88,plain,
% 121.64/78.44 ((~![X88: $i] : p36(X88, X88)) | p36(f40(c59, c50), f40(c59, c50))),
% 121.64/78.44 inference(quant_inst,[status(thm)],[])).
% 121.64/78.44 tff(89,plain,
% 121.64/78.44 (p36(f40(c59, c50), f40(c59, c50))),
% 121.64/78.44 inference(unit_resolution,[status(thm)],[88, 87])).
% 121.64/78.44 tff(90,plain,
% 121.64/78.44 (^[X99: $i, X100: $i, X98: $i, X101: $i] : refl(((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101))) <=> ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101))))),
% 121.64/78.44 inference(bind,[status(th)],[])).
% 121.64/78.44 tff(91,plain,
% 121.64/78.44 (![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101))) <=> ![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))),
% 121.64/78.44 inference(quant_intro,[status(thm)],[90])).
% 121.64/78.44 tff(92,plain,
% 121.64/78.44 (![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101))) <=> ![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))),
% 121.64/78.44 inference(rewrite,[status(thm)],[])).
% 121.64/78.44 tff(93,plain,
% 121.64/78.44 (^[X99: $i, X100: $i, X98: $i, X101: $i] : trans(monotonicity(rewrite((p37(f38(X98, X99), f38(X100, X101)) | (~p36(X98, X100))) <=> ((~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))), (((p37(f38(X98, X99), f38(X100, X101)) | (~p36(X98, X100))) | (~p7(X99, X101))) <=> (((~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101))) | (~p7(X99, X101))))), rewrite((((~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101))) | (~p7(X99, X101))) <=> ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))), (((p37(f38(X98, X99), f38(X100, X101)) | (~p36(X98, X100))) | (~p7(X99, X101))) <=> ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))))),
% 121.64/78.44 inference(bind,[status(th)],[])).
% 121.64/78.44 tff(94,plain,
% 121.64/78.44 (![X99: $i, X100: $i, X98: $i, X101: $i] : ((p37(f38(X98, X99), f38(X100, X101)) | (~p36(X98, X100))) | (~p7(X99, X101))) <=> ![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))),
% 121.64/78.44 inference(quant_intro,[status(thm)],[93])).
% 121.64/78.44 tff(95,axiom,(![X99: $i, X100: $i, X98: $i, X101: $i] : ((p37(f38(X98, X99), f38(X100, X101)) | (~p36(X98, X100))) | (~p7(X99, X101)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p37_67')).
% 121.64/78.44 tff(96,plain,
% 121.64/78.44 (![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))),
% 121.64/78.44 inference(modus_ponens,[status(thm)],[95, 94])).
% 121.64/78.44 tff(97,plain,
% 121.64/78.44 (![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))),
% 121.64/78.44 inference(modus_ponens,[status(thm)],[96, 92])).
% 121.64/78.44 tff(98,plain,(
% 121.64/78.44 ![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))),
% 121.64/78.44 inference(skolemize,[status(sab)],[97])).
% 121.64/78.44 tff(99,plain,
% 121.64/78.44 (![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))),
% 121.64/78.44 inference(modus_ponens,[status(thm)],[98, 91])).
% 121.64/78.44 tff(100,plain,
% 121.64/78.44 (((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | ((~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))) <=> ((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | (~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))),
% 121.64/78.44 inference(rewrite,[status(thm)],[])).
% 121.64/78.44 tff(101,plain,
% 121.64/78.44 (((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) <=> ((~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))),
% 121.64/78.44 inference(rewrite,[status(thm)],[])).
% 121.64/78.44 tff(102,plain,
% 121.64/78.44 (((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))) <=> ((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | ((~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))))),
% 121.64/78.44 inference(monotonicity,[status(thm)],[101])).
% 121.64/78.44 tff(103,plain,
% 121.64/78.44 (((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))) <=> ((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | (~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))),
% 121.64/78.44 inference(transitivity,[status(thm)],[102, 100])).
% 121.64/78.44 tff(104,plain,
% 121.64/78.44 ((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))),
% 121.64/78.44 inference(quant_inst,[status(thm)],[])).
% 121.64/78.44 tff(105,plain,
% 121.64/78.44 ((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | (~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))),
% 121.64/78.44 inference(modus_ponens,[status(thm)],[104, 103])).
% 121.64/78.44 tff(106,plain,
% 121.64/78.44 (p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))),
% 121.64/78.44 inference(unit_resolution,[status(thm)],[105, 99, 89, 80])).
% 121.64/78.44 tff(107,plain,
% 121.64/78.44 ((~![X159: $i] : p7(X159, X159)) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))),
% 121.64/78.44 inference(quant_inst,[status(thm)],[])).
% 121.64/78.44 tff(108,plain,
% 121.64/78.44 (p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))),
% 121.64/78.45 inference(unit_resolution,[status(thm)],[107, 7])).
% 121.64/78.45 tff(109,plain,
% 121.64/78.45 (((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p7(c58, f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)))) <=> ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p7(c58, f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)))),
% 121.64/78.45 inference(rewrite,[status(thm)],[])).
% 121.64/78.45 tff(110,plain,
% 121.64/78.45 (((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)) | p7(c58, f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) <=> ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p7(c58, f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)))),
% 121.64/78.45 inference(rewrite,[status(thm)],[])).
% 121.64/78.45 tff(111,plain,
% 121.64/78.45 (((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)) | p7(c58, f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) <=> ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p7(c58, f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58))))),
% 121.64/78.45 inference(monotonicity,[status(thm)],[110])).
% 121.64/78.45 tff(112,plain,
% 121.64/78.45 (((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)) | p7(c58, f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) <=> ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p7(c58, f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)))),
% 121.64/78.45 inference(transitivity,[status(thm)],[111, 109])).
% 121.64/78.45 tff(113,plain,
% 121.64/78.45 ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)) | p7(c58, f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))),
% 121.64/78.45 inference(quant_inst,[status(thm)],[])).
% 121.64/78.45 tff(114,plain,
% 121.64/78.45 ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p7(c58, f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58))),
% 121.64/78.45 inference(modus_ponens,[status(thm)],[113, 112])).
% 121.64/78.45 tff(115,plain,
% 121.64/78.45 (p7(c58, f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))),
% 121.64/78.45 inference(unit_resolution,[status(thm)],[114, 28, 48, 108])).
% 121.64/78.45 tff(116,plain,
% 121.64/78.45 (((~![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))) | ((~p6(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f11(c54, f14(f17(c55, c52), f35(c58, c52))))) | (~p7(c58, f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) <=> ((~![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))) | (~p6(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f11(c54, f14(f17(c55, c52), f35(c58, c52))))) | (~p7(c58, f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))),
% 121.64/78.45 inference(rewrite,[status(thm)],[])).
% 121.64/78.45 tff(117,plain,
% 121.64/78.45 ((~![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))) | ((~p6(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f11(c54, f14(f17(c55, c52), f35(c58, c52))))) | (~p7(c58, f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))),
% 121.64/78.45 inference(quant_inst,[status(thm)],[])).
% 121.64/78.45 tff(118,plain,
% 121.64/78.45 ((~![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))) | (~p6(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f11(c54, f14(f17(c55, c52), f35(c58, c52))))) | (~p7(c58, f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))),
% 121.64/78.45 inference(modus_ponens,[status(thm)],[117, 116])).
% 121.64/78.45 tff(119,plain,
% 121.64/78.45 (p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))),
% 121.64/78.45 inference(unit_resolution,[status(thm)],[118, 58, 46, 115])).
% 121.64/78.45 tff(120,plain,
% 121.64/78.45 (((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c58))) <=> ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c58))),
% 121.64/78.45 inference(rewrite,[status(thm)],[])).
% 121.64/78.45 tff(121,plain,
% 121.64/78.45 ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c58))),
% 121.64/78.45 inference(quant_inst,[status(thm)],[])).
% 121.64/78.45 tff(122,plain,
% 121.64/78.45 ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c58)),
% 121.64/78.45 inference(modus_ponens,[status(thm)],[121, 120])).
% 121.64/78.45 tff(123,plain,
% 121.64/78.45 (p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c58)),
% 121.64/78.45 inference(unit_resolution,[status(thm)],[122, 28, 48, 119])).
% 121.64/78.45 tff(124,plain,
% 121.64/78.45 (((~![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))) | ((~p6(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f11(c54, f14(f17(c55, c52), f35(c58, c52))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c58)) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) <=> ((~![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))) | (~p6(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f11(c54, f14(f17(c55, c52), f35(c58, c52))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c58)) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))),
% 121.64/78.45 inference(rewrite,[status(thm)],[])).
% 121.64/78.45 tff(125,plain,
% 121.64/78.45 ((~![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))) | ((~p6(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f11(c54, f14(f17(c55, c52), f35(c58, c52))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c58)) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))),
% 121.64/78.45 inference(quant_inst,[status(thm)],[])).
% 121.64/78.45 tff(126,plain,
% 121.64/78.45 ((~![X163: $i, X162: $i, X165: $i, X164: $i] : ((~p6(X162, X164)) | (~p7(X163, X165)) | p7(f8(X162, X163), f8(X164, X165)))) | (~p6(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f11(c54, f14(f17(c55, c52), f35(c58, c52))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c58)) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))),
% 121.64/78.45 inference(modus_ponens,[status(thm)],[125, 124])).
% 121.64/78.45 tff(127,plain,
% 121.64/78.45 (p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))),
% 121.64/78.45 inference(unit_resolution,[status(thm)],[126, 58, 46, 123])).
% 121.64/78.45 tff(128,plain,
% 121.64/78.45 (((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | (p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))) <=> ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))),
% 121.64/78.45 inference(rewrite,[status(thm)],[])).
% 121.64/78.45 tff(129,plain,
% 121.64/78.45 (((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) <=> (p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))),
% 121.64/78.45 inference(rewrite,[status(thm)],[])).
% 121.64/78.45 tff(130,plain,
% 121.64/78.45 (((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) <=> ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | (p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))))),
% 121.64/78.45 inference(monotonicity,[status(thm)],[129])).
% 121.64/78.45 tff(131,plain,
% 121.64/78.45 (((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) <=> ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))),
% 121.64/78.46 inference(transitivity,[status(thm)],[130, 128])).
% 121.64/78.46 tff(132,plain,
% 121.64/78.46 ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))),
% 121.64/78.46 inference(quant_inst,[status(thm)],[])).
% 121.64/78.46 tff(133,plain,
% 121.64/78.46 ((~![X159: $i, X161: $i, X160: $i] : ((~p7(X159, X161)) | (~p7(X159, X160)) | p7(X160, X161))) | p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))),
% 121.64/78.46 inference(modus_ponens,[status(thm)],[132, 131])).
% 121.64/78.46 tff(134,plain,
% 121.64/78.46 (p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))),
% 121.64/78.46 inference(unit_resolution,[status(thm)],[133, 28, 127, 37])).
% 121.64/78.46 tff(135,plain,
% 121.64/78.46 (((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | ((~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))) <=> ((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | (~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))),
% 121.64/78.46 inference(rewrite,[status(thm)],[])).
% 121.64/78.46 tff(136,plain,
% 121.64/78.46 (((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) <=> ((~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))),
% 121.64/78.46 inference(rewrite,[status(thm)],[])).
% 121.64/78.46 tff(137,plain,
% 121.64/78.46 (((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))) <=> ((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | ((~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))))),
% 121.64/78.46 inference(monotonicity,[status(thm)],[136])).
% 121.64/78.46 tff(138,plain,
% 121.64/78.46 (((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))) <=> ((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | (~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))),
% 121.64/78.46 inference(transitivity,[status(thm)],[137, 135])).
% 121.64/78.46 tff(139,plain,
% 121.64/78.46 ((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))))),
% 121.64/78.46 inference(quant_inst,[status(thm)],[])).
% 121.64/78.46 tff(140,plain,
% 121.64/78.46 ((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | (~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))),
% 121.64/78.46 inference(modus_ponens,[status(thm)],[139, 138])).
% 121.64/78.46 tff(141,plain,
% 121.64/78.46 (p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))),
% 121.64/78.46 inference(unit_resolution,[status(thm)],[140, 99, 89, 134])).
% 121.64/78.46 tff(142,plain,
% 121.64/78.46 (((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)) | (~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), c58)))) <=> ((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)) | (~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), c58)))),
% 121.64/78.46 inference(rewrite,[status(thm)],[])).
% 121.64/78.46 tff(143,plain,
% 121.64/78.46 ((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | ((~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)) | (~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), c58)))),
% 121.64/78.46 inference(quant_inst,[status(thm)],[])).
% 121.64/78.46 tff(144,plain,
% 121.64/78.46 ((~![X99: $i, X100: $i, X98: $i, X101: $i] : ((~p7(X99, X101)) | (~p36(X98, X100)) | p37(f38(X98, X99), f38(X100, X101)))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), c58)) | (~p36(f40(c59, c50), f40(c59, c50))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), c58))),
% 121.64/78.46 inference(modus_ponens,[status(thm)],[143, 142])).
% 121.64/78.46 tff(145,plain,
% 121.64/78.46 (p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), c58))),
% 121.64/78.46 inference(unit_resolution,[status(thm)],[144, 99, 89, 48])).
% 121.64/78.46 tff(146,plain,
% 121.64/78.46 (^[X96: $i, X97: $i, X95: $i] : refl(((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97)) <=> ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97)))),
% 121.64/78.46 inference(bind,[status(th)],[])).
% 121.64/78.46 tff(147,plain,
% 121.64/78.46 (![X96: $i, X97: $i, X95: $i] : ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97)) <=> ![X96: $i, X97: $i, X95: $i] : ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97))),
% 121.64/78.46 inference(quant_intro,[status(thm)],[146])).
% 121.64/78.46 tff(148,plain,
% 121.64/78.46 (![X96: $i, X97: $i, X95: $i] : ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97)) <=> ![X96: $i, X97: $i, X95: $i] : ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97))),
% 121.64/78.46 inference(rewrite,[status(thm)],[])).
% 121.64/78.46 tff(149,plain,
% 121.64/78.46 (^[X96: $i, X97: $i, X95: $i] : trans(monotonicity(rewrite((p37(X96, X97) | (~p37(X95, X96))) <=> ((~p37(X95, X96)) | p37(X96, X97))), (((p37(X96, X97) | (~p37(X95, X96))) | (~p37(X95, X97))) <=> (((~p37(X95, X96)) | p37(X96, X97)) | (~p37(X95, X97))))), rewrite((((~p37(X95, X96)) | p37(X96, X97)) | (~p37(X95, X97))) <=> ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97))), (((p37(X96, X97) | (~p37(X95, X96))) | (~p37(X95, X97))) <=> ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97))))),
% 121.64/78.46 inference(bind,[status(th)],[])).
% 121.64/78.46 tff(150,plain,
% 121.64/78.46 (![X96: $i, X97: $i, X95: $i] : ((p37(X96, X97) | (~p37(X95, X96))) | (~p37(X95, X97))) <=> ![X96: $i, X97: $i, X95: $i] : ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97))),
% 121.64/78.46 inference(quant_intro,[status(thm)],[149])).
% 121.64/78.46 tff(151,axiom,(![X96: $i, X97: $i, X95: $i] : ((p37(X96, X97) | (~p37(X95, X96))) | (~p37(X95, X97)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p37_39')).
% 121.64/78.46 tff(152,plain,
% 121.64/78.46 (![X96: $i, X97: $i, X95: $i] : ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97))),
% 121.64/78.46 inference(modus_ponens,[status(thm)],[151, 150])).
% 121.64/78.46 tff(153,plain,
% 121.64/78.46 (![X96: $i, X97: $i, X95: $i] : ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97))),
% 121.64/78.46 inference(modus_ponens,[status(thm)],[152, 148])).
% 121.64/78.46 tff(154,plain,(
% 121.64/78.46 ![X96: $i, X97: $i, X95: $i] : ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97))),
% 121.64/78.46 inference(skolemize,[status(sab)],[153])).
% 121.64/78.46 tff(155,plain,
% 121.64/78.46 (![X96: $i, X97: $i, X95: $i] : ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97))),
% 121.64/78.46 inference(modus_ponens,[status(thm)],[154, 147])).
% 121.64/78.46 tff(156,plain,
% 121.64/78.46 (((~![X96: $i, X97: $i, X95: $i] : ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97))) | ((~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), c58))) | (~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58)))) <=> ((~![X96: $i, X97: $i, X95: $i] : ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97))) | (~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), c58))) | (~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58)))),
% 121.64/78.46 inference(rewrite,[status(thm)],[])).
% 121.64/78.46 tff(157,plain,
% 121.64/78.46 ((~![X96: $i, X97: $i, X95: $i] : ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97))) | ((~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), c58))) | (~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58)))),
% 121.64/78.47 inference(quant_inst,[status(thm)],[])).
% 121.64/78.47 tff(158,plain,
% 121.64/78.47 ((~![X96: $i, X97: $i, X95: $i] : ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97))) | (~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), c58))) | (~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58))),
% 121.64/78.47 inference(modus_ponens,[status(thm)],[157, 156])).
% 121.64/78.47 tff(159,plain,
% 121.64/78.47 (p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58))),
% 121.64/78.47 inference(unit_resolution,[status(thm)],[158, 155, 145, 141])).
% 121.64/78.47 tff(160,plain,
% 121.64/78.47 (((~![X96: $i, X97: $i, X95: $i] : ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97))) | ((~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58))) | (~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58)))) <=> ((~![X96: $i, X97: $i, X95: $i] : ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97))) | (~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58))) | (~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58)))),
% 121.64/78.47 inference(rewrite,[status(thm)],[])).
% 121.64/78.47 tff(161,plain,
% 121.64/78.47 ((~![X96: $i, X97: $i, X95: $i] : ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97))) | ((~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58))) | (~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58)))),
% 121.64/78.47 inference(quant_inst,[status(thm)],[])).
% 121.64/78.47 tff(162,plain,
% 121.64/78.47 ((~![X96: $i, X97: $i, X95: $i] : ((~p37(X95, X97)) | (~p37(X95, X96)) | p37(X96, X97))) | (~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58))) | (~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))) | p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58))),
% 121.64/78.47 inference(modus_ponens,[status(thm)],[161, 160])).
% 121.64/78.47 tff(163,plain,
% 121.64/78.47 (p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58))),
% 121.64/78.47 inference(unit_resolution,[status(thm)],[162, 155, 159, 106])).
% 121.64/78.47 tff(164,assumption,(~p46(f23(c53, f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61)), f5(c49, c50))), introduced(assumption)).
% 121.64/78.47 tff(165,plain,
% 121.64/78.47 (^[X142: $i, X137: $i, X136: $i] : refl(((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136))) <=> ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136))))),
% 121.64/78.47 inference(bind,[status(th)],[])).
% 121.64/78.47 tff(166,plain,
% 121.64/78.47 (![X142: $i, X137: $i, X136: $i] : ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136))) <=> ![X142: $i, X137: $i, X136: $i] : ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136)))),
% 121.64/78.47 inference(quant_intro,[status(thm)],[165])).
% 121.64/78.47 tff(167,plain,
% 121.64/78.47 (![X142: $i, X137: $i, X136: $i] : ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136))) <=> ![X142: $i, X137: $i, X136: $i] : ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136)))),
% 121.64/78.47 inference(rewrite,[status(thm)],[])).
% 121.64/78.47 tff(168,plain,
% 121.64/78.47 (^[X142: $i, X137: $i, X136: $i] : rewrite((p46(f23(c53, f35(X137, X142)), f5(c49, X136)) | (~p45(f20(c52, X136), X137))) <=> ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136))))),
% 121.64/78.47 inference(bind,[status(th)],[])).
% 121.64/78.47 tff(169,plain,
% 121.64/78.47 (![X142: $i, X137: $i, X136: $i] : (p46(f23(c53, f35(X137, X142)), f5(c49, X136)) | (~p45(f20(c52, X136), X137))) <=> ![X142: $i, X137: $i, X136: $i] : ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136)))),
% 121.64/78.47 inference(quant_intro,[status(thm)],[168])).
% 121.64/78.47 tff(170,axiom,(![X142: $i, X137: $i, X136: $i] : (p46(f23(c53, f35(X137, X142)), f5(c49, X136)) | (~p45(f20(c52, X136), X137)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p46_78')).
% 121.64/78.47 tff(171,plain,
% 121.64/78.47 (![X142: $i, X137: $i, X136: $i] : ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136)))),
% 121.64/78.47 inference(modus_ponens,[status(thm)],[170, 169])).
% 121.64/78.47 tff(172,plain,
% 121.64/78.47 (![X142: $i, X137: $i, X136: $i] : ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136)))),
% 121.64/78.47 inference(modus_ponens,[status(thm)],[171, 167])).
% 121.64/78.47 tff(173,plain,(
% 121.64/78.47 ![X142: $i, X137: $i, X136: $i] : ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136)))),
% 121.64/78.47 inference(skolemize,[status(sab)],[172])).
% 121.64/78.47 tff(174,plain,
% 121.64/78.47 (![X142: $i, X137: $i, X136: $i] : ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136)))),
% 121.64/78.47 inference(modus_ponens,[status(thm)],[173, 166])).
% 121.64/78.47 tff(175,plain,
% 121.64/78.47 (p45(f20(c52, c50), c58) <=> p45(f20(c52, c50), c58)),
% 121.64/78.47 inference(rewrite,[status(thm)],[])).
% 121.64/78.47 tff(176,axiom,(p45(f20(c52, c50), c58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p45_27')).
% 121.64/78.47 tff(177,plain,
% 121.64/78.47 (p45(f20(c52, c50), c58)),
% 121.64/78.47 inference(modus_ponens,[status(thm)],[176, 175])).
% 121.64/78.47 tff(178,plain,
% 121.64/78.47 (((~![X142: $i, X137: $i, X136: $i] : ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136)))) | ((~p45(f20(c52, c50), c58)) | p46(f23(c53, f35(c58, c52)), f5(c49, c50)))) <=> ((~![X142: $i, X137: $i, X136: $i] : ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136)))) | (~p45(f20(c52, c50), c58)) | p46(f23(c53, f35(c58, c52)), f5(c49, c50)))),
% 121.64/78.47 inference(rewrite,[status(thm)],[])).
% 121.64/78.47 tff(179,plain,
% 121.64/78.47 ((~![X142: $i, X137: $i, X136: $i] : ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136)))) | ((~p45(f20(c52, c50), c58)) | p46(f23(c53, f35(c58, c52)), f5(c49, c50)))),
% 121.64/78.47 inference(quant_inst,[status(thm)],[])).
% 121.64/78.47 tff(180,plain,
% 121.64/78.47 ((~![X142: $i, X137: $i, X136: $i] : ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136)))) | (~p45(f20(c52, c50), c58)) | p46(f23(c53, f35(c58, c52)), f5(c49, c50))),
% 121.64/78.47 inference(modus_ponens,[status(thm)],[179, 178])).
% 121.64/78.47 tff(181,plain,
% 121.64/78.47 (p46(f23(c53, f35(c58, c52)), f5(c49, c50))),
% 121.64/78.47 inference(unit_resolution,[status(thm)],[180, 177, 174])).
% 121.64/78.47 tff(182,plain,
% 121.64/78.47 (^[X132: $i, X135: $i, X133: $i, X134: $i] : refl(((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135))) <=> ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135))))),
% 121.64/78.47 inference(bind,[status(th)],[])).
% 121.64/78.47 tff(183,plain,
% 121.64/78.47 (![X132: $i, X135: $i, X133: $i, X134: $i] : ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135))) <=> ![X132: $i, X135: $i, X133: $i, X134: $i] : ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)))),
% 121.64/78.47 inference(quant_intro,[status(thm)],[182])).
% 121.64/78.47 tff(184,plain,
% 121.64/78.47 (![X132: $i, X135: $i, X133: $i, X134: $i] : ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135))) <=> ![X132: $i, X135: $i, X133: $i, X134: $i] : ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)))),
% 121.64/78.47 inference(rewrite,[status(thm)],[])).
% 121.64/78.47 tff(185,plain,
% 121.64/78.47 (^[X132: $i, X135: $i, X133: $i, X134: $i] : trans(monotonicity(rewrite((p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)) | (~p45(f20(c52, X132), X135))) <=> ((~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)))), (((p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)) | (~p45(f20(c52, X132), X135))) | (~p46(f23(c53, X134), f5(c49, X132)))) <=> (((~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135))) | (~p46(f23(c53, X134), f5(c49, X132)))))), rewrite((((~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135))) | (~p46(f23(c53, X134), f5(c49, X132)))) <=> ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)))), (((p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)) | (~p45(f20(c52, X132), X135))) | (~p46(f23(c53, X134), f5(c49, X132)))) <=> ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)))))),
% 121.64/78.47 inference(bind,[status(th)],[])).
% 121.64/78.47 tff(186,plain,
% 121.64/78.47 (![X132: $i, X135: $i, X133: $i, X134: $i] : ((p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)) | (~p45(f20(c52, X132), X135))) | (~p46(f23(c53, X134), f5(c49, X132)))) <=> ![X132: $i, X135: $i, X133: $i, X134: $i] : ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)))),
% 121.64/78.47 inference(quant_intro,[status(thm)],[185])).
% 121.64/78.47 tff(187,axiom,(![X132: $i, X135: $i, X133: $i, X134: $i] : ((p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)) | (~p45(f20(c52, X132), X135))) | (~p46(f23(c53, X134), f5(c49, X132))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p45_80')).
% 121.64/78.47 tff(188,plain,
% 121.64/78.47 (![X132: $i, X135: $i, X133: $i, X134: $i] : ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)))),
% 121.64/78.47 inference(modus_ponens,[status(thm)],[187, 186])).
% 121.64/78.47 tff(189,plain,
% 121.64/78.47 (![X132: $i, X135: $i, X133: $i, X134: $i] : ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)))),
% 121.64/78.47 inference(modus_ponens,[status(thm)],[188, 184])).
% 121.64/78.47 tff(190,plain,(
% 121.64/78.47 ![X132: $i, X135: $i, X133: $i, X134: $i] : ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)))),
% 121.64/78.47 inference(skolemize,[status(sab)],[189])).
% 121.64/78.47 tff(191,plain,
% 121.64/78.47 (![X132: $i, X135: $i, X133: $i, X134: $i] : ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)))),
% 121.64/78.47 inference(modus_ponens,[status(thm)],[190, 183])).
% 121.64/78.47 tff(192,plain,
% 121.64/78.47 (((~![X132: $i, X135: $i, X133: $i, X134: $i] : ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)))) | ((~p45(f20(c52, c50), c58)) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)) | (~p46(f23(c53, f35(c58, c52)), f5(c49, c50))))) <=> ((~![X132: $i, X135: $i, X133: $i, X134: $i] : ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)))) | (~p45(f20(c52, c50), c58)) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)) | (~p46(f23(c53, f35(c58, c52)), f5(c49, c50))))),
% 121.64/78.47 inference(rewrite,[status(thm)],[])).
% 121.64/78.47 tff(193,plain,
% 121.64/78.47 (((~p46(f23(c53, f35(c58, c52)), f5(c49, c50))) | (~p45(f20(c52, c50), c58)) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) <=> ((~p45(f20(c52, c50), c58)) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)) | (~p46(f23(c53, f35(c58, c52)), f5(c49, c50))))),
% 121.64/78.47 inference(rewrite,[status(thm)],[])).
% 121.64/78.47 tff(194,plain,
% 121.64/78.47 (((~![X132: $i, X135: $i, X133: $i, X134: $i] : ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)))) | ((~p46(f23(c53, f35(c58, c52)), f5(c49, c50))) | (~p45(f20(c52, c50), c58)) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) <=> ((~![X132: $i, X135: $i, X133: $i, X134: $i] : ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)))) | ((~p45(f20(c52, c50), c58)) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)) | (~p46(f23(c53, f35(c58, c52)), f5(c49, c50)))))),
% 121.64/78.47 inference(monotonicity,[status(thm)],[193])).
% 121.64/78.47 tff(195,plain,
% 121.64/78.47 (((~![X132: $i, X135: $i, X133: $i, X134: $i] : ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)))) | ((~p46(f23(c53, f35(c58, c52)), f5(c49, c50))) | (~p45(f20(c52, c50), c58)) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) <=> ((~![X132: $i, X135: $i, X133: $i, X134: $i] : ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)))) | (~p45(f20(c52, c50), c58)) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)) | (~p46(f23(c53, f35(c58, c52)), f5(c49, c50))))),
% 121.64/78.47 inference(transitivity,[status(thm)],[194, 192])).
% 121.64/78.47 tff(196,plain,
% 121.64/78.47 ((~![X132: $i, X135: $i, X133: $i, X134: $i] : ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)))) | ((~p46(f23(c53, f35(c58, c52)), f5(c49, c50))) | (~p45(f20(c52, c50), c58)) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))),
% 121.64/78.47 inference(quant_inst,[status(thm)],[])).
% 121.64/78.47 tff(197,plain,
% 121.64/78.47 ((~![X132: $i, X135: $i, X133: $i, X134: $i] : ((~p46(f23(c53, X134), f5(c49, X132))) | (~p45(f20(c52, X132), X135)) | p45(f20(c52, X132), f8(f11(c54, f14(f17(c55, X133), X134)), X135)))) | (~p45(f20(c52, c50), c58)) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)) | (~p46(f23(c53, f35(c58, c52)), f5(c49, c50)))),
% 121.64/78.47 inference(modus_ponens,[status(thm)],[196, 195])).
% 121.64/78.47 tff(198,plain,
% 121.64/78.47 (p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))),
% 121.64/78.47 inference(unit_resolution,[status(thm)],[197, 177, 191, 181])).
% 121.64/78.47 tff(199,plain,
% 121.64/78.47 (^[X34: $i] : refl(p19(X34, X34) <=> p19(X34, X34))),
% 121.64/78.47 inference(bind,[status(th)],[])).
% 121.64/78.47 tff(200,plain,
% 121.64/78.47 (![X34: $i] : p19(X34, X34) <=> ![X34: $i] : p19(X34, X34)),
% 121.64/78.47 inference(quant_intro,[status(thm)],[199])).
% 121.64/78.47 tff(201,plain,
% 121.64/78.47 (![X34: $i] : p19(X34, X34) <=> ![X34: $i] : p19(X34, X34)),
% 121.64/78.47 inference(rewrite,[status(thm)],[])).
% 121.64/78.47 tff(202,axiom,(![X34: $i] : p19(X34, X34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p19_21')).
% 121.64/78.47 tff(203,plain,
% 121.64/78.47 (![X34: $i] : p19(X34, X34)),
% 121.64/78.47 inference(modus_ponens,[status(thm)],[202, 201])).
% 121.64/78.47 tff(204,plain,(
% 121.64/78.47 ![X34: $i] : p19(X34, X34)),
% 121.64/78.47 inference(skolemize,[status(sab)],[203])).
% 121.64/78.47 tff(205,plain,
% 121.64/78.47 (![X34: $i] : p19(X34, X34)),
% 121.64/78.47 inference(modus_ponens,[status(thm)],[204, 200])).
% 121.64/78.47 tff(206,plain,
% 121.64/78.47 ((~![X34: $i] : p19(X34, X34)) | p19(f20(c52, c50), f20(c52, c50))),
% 121.64/78.47 inference(quant_inst,[status(thm)],[])).
% 121.64/78.47 tff(207,plain,
% 121.64/78.47 (p19(f20(c52, c50), f20(c52, c50))),
% 121.64/78.47 inference(unit_resolution,[status(thm)],[206, 205])).
% 121.64/78.47 tff(208,plain,
% 121.64/78.47 (^[X131: $i, X129: $i, X128: $i, X130: $i] : refl(((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129)) <=> ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129)))),
% 121.64/78.47 inference(bind,[status(th)],[])).
% 121.64/78.47 tff(209,plain,
% 121.64/78.47 (![X131: $i, X129: $i, X128: $i, X130: $i] : ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129)) <=> ![X131: $i, X129: $i, X128: $i, X130: $i] : ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129))),
% 121.64/78.47 inference(quant_intro,[status(thm)],[208])).
% 121.64/78.47 tff(210,plain,
% 121.64/78.47 (![X131: $i, X129: $i, X128: $i, X130: $i] : ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129)) <=> ![X131: $i, X129: $i, X128: $i, X130: $i] : ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129))),
% 121.64/78.47 inference(rewrite,[status(thm)],[])).
% 121.64/78.47 tff(211,plain,
% 121.64/78.47 (^[X131: $i, X129: $i, X128: $i, X130: $i] : trans(monotonicity(trans(monotonicity(rewrite((p45(X128, X129) | (~p45(X130, X131))) <=> ((~p45(X130, X131)) | p45(X128, X129))), (((p45(X128, X129) | (~p45(X130, X131))) | (~p7(X131, X129))) <=> (((~p45(X130, X131)) | p45(X128, X129)) | (~p7(X131, X129))))), rewrite((((~p45(X130, X131)) | p45(X128, X129)) | (~p7(X131, X129))) <=> ((~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129))), (((p45(X128, X129) | (~p45(X130, X131))) | (~p7(X131, X129))) <=> ((~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129)))), ((((p45(X128, X129) | (~p45(X130, X131))) | (~p7(X131, X129))) | (~p19(X130, X128))) <=> (((~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129)) | (~p19(X130, X128))))), rewrite((((~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129)) | (~p19(X130, X128))) <=> ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129))), ((((p45(X128, X129) | (~p45(X130, X131))) | (~p7(X131, X129))) | (~p19(X130, X128))) <=> ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129))))),
% 121.64/78.48 inference(bind,[status(th)],[])).
% 121.64/78.48 tff(212,plain,
% 121.64/78.48 (![X131: $i, X129: $i, X128: $i, X130: $i] : (((p45(X128, X129) | (~p45(X130, X131))) | (~p7(X131, X129))) | (~p19(X130, X128))) <=> ![X131: $i, X129: $i, X128: $i, X130: $i] : ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129))),
% 121.64/78.48 inference(quant_intro,[status(thm)],[211])).
% 121.64/78.48 tff(213,axiom,(![X131: $i, X129: $i, X128: $i, X130: $i] : (((p45(X128, X129) | (~p45(X130, X131))) | (~p7(X131, X129))) | (~p19(X130, X128)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p45_56')).
% 121.64/78.48 tff(214,plain,
% 121.64/78.48 (![X131: $i, X129: $i, X128: $i, X130: $i] : ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129))),
% 121.64/78.48 inference(modus_ponens,[status(thm)],[213, 212])).
% 121.64/78.48 tff(215,plain,
% 121.64/78.48 (![X131: $i, X129: $i, X128: $i, X130: $i] : ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129))),
% 121.64/78.48 inference(modus_ponens,[status(thm)],[214, 210])).
% 121.64/78.48 tff(216,plain,(
% 121.64/78.48 ![X131: $i, X129: $i, X128: $i, X130: $i] : ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129))),
% 121.64/78.48 inference(skolemize,[status(sab)],[215])).
% 121.64/78.48 tff(217,plain,
% 121.64/78.48 (![X131: $i, X129: $i, X128: $i, X130: $i] : ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129))),
% 121.64/78.48 inference(modus_ponens,[status(thm)],[216, 209])).
% 121.64/78.48 tff(218,plain,
% 121.64/78.48 (((~![X131: $i, X129: $i, X128: $i, X130: $i] : ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129))) | ((~p19(f20(c52, c50), f20(c52, c50))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) <=> ((~![X131: $i, X129: $i, X128: $i, X130: $i] : ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129))) | (~p19(f20(c52, c50), f20(c52, c50))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))),
% 121.64/78.48 inference(rewrite,[status(thm)],[])).
% 121.64/78.48 tff(219,plain,
% 121.64/78.48 (((~p19(f20(c52, c50), f20(c52, c50))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) <=> ((~p19(f20(c52, c50), f20(c52, c50))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))),
% 121.64/78.48 inference(rewrite,[status(thm)],[])).
% 121.64/78.48 tff(220,plain,
% 121.64/78.48 (((~![X131: $i, X129: $i, X128: $i, X130: $i] : ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129))) | ((~p19(f20(c52, c50), f20(c52, c50))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) <=> ((~![X131: $i, X129: $i, X128: $i, X130: $i] : ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129))) | ((~p19(f20(c52, c50), f20(c52, c50))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))))),
% 121.64/78.48 inference(monotonicity,[status(thm)],[219])).
% 121.64/78.48 tff(221,plain,
% 121.64/78.48 (((~![X131: $i, X129: $i, X128: $i, X130: $i] : ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129))) | ((~p19(f20(c52, c50), f20(c52, c50))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))) <=> ((~![X131: $i, X129: $i, X128: $i, X130: $i] : ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129))) | (~p19(f20(c52, c50), f20(c52, c50))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))),
% 121.64/78.48 inference(transitivity,[status(thm)],[220, 218])).
% 121.64/78.48 tff(222,plain,
% 121.64/78.48 ((~![X131: $i, X129: $i, X128: $i, X130: $i] : ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129))) | ((~p19(f20(c52, c50), f20(c52, c50))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))))),
% 121.64/78.48 inference(quant_inst,[status(thm)],[])).
% 121.64/78.48 tff(223,plain,
% 121.64/78.48 ((~![X131: $i, X129: $i, X128: $i, X130: $i] : ((~p19(X130, X128)) | (~p7(X131, X129)) | (~p45(X130, X131)) | p45(X128, X129))) | (~p19(f20(c52, c50), f20(c52, c50))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58))) | (~p7(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))),
% 121.64/78.48 inference(modus_ponens,[status(thm)],[222, 221])).
% 121.64/78.48 tff(224,plain,
% 121.64/78.48 (p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))),
% 121.64/78.48 inference(unit_resolution,[status(thm)],[223, 217, 207, 198, 119])).
% 121.64/78.48 tff(225,plain,
% 121.64/78.48 (((~![X142: $i, X137: $i, X136: $i] : ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136)))) | ((~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p46(f23(c53, f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61)), f5(c49, c50)))) <=> ((~![X142: $i, X137: $i, X136: $i] : ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136)))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p46(f23(c53, f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61)), f5(c49, c50)))),
% 121.64/78.48 inference(rewrite,[status(thm)],[])).
% 121.64/78.48 tff(226,plain,
% 121.64/78.48 ((~![X142: $i, X137: $i, X136: $i] : ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136)))) | ((~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p46(f23(c53, f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61)), f5(c49, c50)))),
% 121.64/78.48 inference(quant_inst,[status(thm)],[])).
% 121.64/78.48 tff(227,plain,
% 121.64/78.48 ((~![X142: $i, X137: $i, X136: $i] : ((~p45(f20(c52, X136), X137)) | p46(f23(c53, f35(X137, X142)), f5(c49, X136)))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p46(f23(c53, f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61)), f5(c49, c50))),
% 121.64/78.48 inference(modus_ponens,[status(thm)],[226, 225])).
% 121.64/78.48 tff(228,plain,
% 121.64/78.48 ($false),
% 121.64/78.48 inference(unit_resolution,[status(thm)],[227, 174, 224, 164])).
% 121.64/78.48 tff(229,plain,(p46(f23(c53, f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61)), f5(c49, c50))), inference(lemma,lemma(discharge,[]))).
% 121.64/78.48 tff(230,plain,
% 121.64/78.48 (^[X150: $i, X151: $i] : refl(((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60)) <=> ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60)))),
% 121.64/78.48 inference(bind,[status(th)],[])).
% 121.64/78.48 tff(231,plain,
% 121.64/78.48 (![X150: $i, X151: $i] : ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60)) <=> ![X150: $i, X151: $i] : ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60))),
% 121.64/78.48 inference(quant_intro,[status(thm)],[230])).
% 121.64/78.48 tff(232,plain,
% 121.64/78.48 (![X150: $i, X151: $i] : ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60)) <=> ![X150: $i, X151: $i] : ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60))),
% 121.64/78.48 inference(rewrite,[status(thm)],[])).
% 121.64/78.48 tff(233,plain,
% 121.64/78.48 (^[X150: $i, X151: $i] : trans(monotonicity(rewrite((p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60) | (~p45(f20(c52, c50), X151))) <=> ((~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60))), (((p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60) | (~p45(f20(c52, c50), X151))) | (~p46(f23(c53, X150), f5(c49, c50)))) <=> (((~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60)) | (~p46(f23(c53, X150), f5(c49, c50)))))), rewrite((((~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60)) | (~p46(f23(c53, X150), f5(c49, c50)))) <=> ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60))), (((p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60) | (~p45(f20(c52, c50), X151))) | (~p46(f23(c53, X150), f5(c49, c50)))) <=> ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60))))),
% 121.64/78.48 inference(bind,[status(th)],[])).
% 121.64/78.48 tff(234,plain,
% 121.64/78.48 (![X150: $i, X151: $i] : ((p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60) | (~p45(f20(c52, c50), X151))) | (~p46(f23(c53, X150), f5(c49, c50)))) <=> ![X150: $i, X151: $i] : ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60))),
% 121.64/78.48 inference(quant_intro,[status(thm)],[233])).
% 121.64/78.48 tff(235,axiom,(![X150: $i, X151: $i] : ((p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60) | (~p45(f20(c52, c50), X151))) | (~p46(f23(c53, X150), f5(c49, c50))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p48_81')).
% 121.64/78.48 tff(236,plain,
% 121.64/78.48 (![X150: $i, X151: $i] : ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60))),
% 121.64/78.48 inference(modus_ponens,[status(thm)],[235, 234])).
% 121.64/78.48 tff(237,plain,
% 121.64/78.48 (![X150: $i, X151: $i] : ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60))),
% 121.64/78.48 inference(modus_ponens,[status(thm)],[236, 232])).
% 121.64/78.48 tff(238,plain,(
% 121.64/78.48 ![X150: $i, X151: $i] : ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60))),
% 121.64/78.48 inference(skolemize,[status(sab)],[237])).
% 121.64/78.48 tff(239,plain,
% 121.64/78.48 (![X150: $i, X151: $i] : ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60))),
% 121.64/78.48 inference(modus_ponens,[status(thm)],[238, 231])).
% 121.64/78.48 tff(240,plain,
% 121.64/78.48 (((~![X150: $i, X151: $i] : ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60))) | ((~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p46(f23(c53, f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61)), f5(c49, c50))) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60))) <=> ((~![X150: $i, X151: $i] : ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p46(f23(c53, f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61)), f5(c49, c50))) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60))),
% 121.64/78.48 inference(rewrite,[status(thm)],[])).
% 121.64/78.48 tff(241,plain,
% 121.64/78.48 (((~p46(f23(c53, f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61)), f5(c49, c50))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60)) <=> ((~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p46(f23(c53, f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61)), f5(c49, c50))) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60))),
% 121.64/78.49 inference(rewrite,[status(thm)],[])).
% 121.64/78.49 tff(242,plain,
% 121.64/78.49 (((~![X150: $i, X151: $i] : ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60))) | ((~p46(f23(c53, f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61)), f5(c49, c50))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60))) <=> ((~![X150: $i, X151: $i] : ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60))) | ((~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p46(f23(c53, f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61)), f5(c49, c50))) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60)))),
% 121.64/78.49 inference(monotonicity,[status(thm)],[241])).
% 121.64/78.49 tff(243,plain,
% 121.64/78.49 (((~![X150: $i, X151: $i] : ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60))) | ((~p46(f23(c53, f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61)), f5(c49, c50))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60))) <=> ((~![X150: $i, X151: $i] : ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p46(f23(c53, f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61)), f5(c49, c50))) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60))),
% 121.64/78.49 inference(transitivity,[status(thm)],[242, 240])).
% 121.64/78.49 tff(244,plain,
% 121.64/78.49 ((~![X150: $i, X151: $i] : ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60))) | ((~p46(f23(c53, f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61)), f5(c49, c50))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60))),
% 121.64/78.49 inference(quant_inst,[status(thm)],[])).
% 121.64/78.49 tff(245,plain,
% 121.64/78.49 ((~![X150: $i, X151: $i] : ((~p46(f23(c53, X150), f5(c49, c50))) | (~p45(f20(c52, c50), X151)) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), X150)), X151)), c60))) | (~p45(f20(c52, c50), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))) | (~p46(f23(c53, f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61)), f5(c49, c50))) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60)),
% 121.64/78.49 inference(modus_ponens,[status(thm)],[244, 243])).
% 121.64/78.49 tff(246,plain,
% 121.64/78.49 ((~p46(f23(c53, f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61)), f5(c49, c50))) | p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60)),
% 121.64/78.49 inference(unit_resolution,[status(thm)],[245, 239, 224])).
% 121.64/78.49 tff(247,plain,
% 121.64/78.49 (p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60)),
% 121.64/78.49 inference(unit_resolution,[status(thm)],[246, 229])).
% 121.64/78.49 tff(248,plain,
% 121.64/78.49 (^[X143: $i] : refl(p47(X143, X143) <=> p47(X143, X143))),
% 121.64/78.49 inference(bind,[status(th)],[])).
% 121.64/78.49 tff(249,plain,
% 121.64/78.49 (![X143: $i] : p47(X143, X143) <=> ![X143: $i] : p47(X143, X143)),
% 121.64/78.49 inference(quant_intro,[status(thm)],[248])).
% 121.64/78.49 tff(250,plain,
% 121.64/78.49 (![X143: $i] : p47(X143, X143) <=> ![X143: $i] : p47(X143, X143)),
% 121.64/78.49 inference(rewrite,[status(thm)],[])).
% 121.64/78.49 tff(251,axiom,(![X143: $i] : p47(X143, X143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p47_5')).
% 121.64/78.49 tff(252,plain,
% 121.64/78.49 (![X143: $i] : p47(X143, X143)),
% 121.64/78.49 inference(modus_ponens,[status(thm)],[251, 250])).
% 121.64/78.49 tff(253,plain,(
% 121.64/78.49 ![X143: $i] : p47(X143, X143)),
% 121.64/78.49 inference(skolemize,[status(sab)],[252])).
% 121.64/78.49 tff(254,plain,
% 121.64/78.49 (![X143: $i] : p47(X143, X143)),
% 121.64/78.49 inference(modus_ponens,[status(thm)],[253, 249])).
% 121.64/78.49 tff(255,plain,
% 121.64/78.49 ((~![X143: $i] : p47(X143, X143)) | p47(c60, c60)),
% 121.64/78.49 inference(quant_inst,[status(thm)],[])).
% 121.64/78.49 tff(256,plain,
% 121.64/78.49 (p47(c60, c60)),
% 121.64/78.49 inference(unit_resolution,[status(thm)],[255, 254])).
% 121.64/78.49 tff(257,plain,
% 121.64/78.49 (^[X148: $i, X146: $i, X147: $i, X149: $i] : refl(((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147)) <=> ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147)))),
% 121.64/78.49 inference(bind,[status(th)],[])).
% 121.64/78.49 tff(258,plain,
% 121.64/78.49 (![X148: $i, X146: $i, X147: $i, X149: $i] : ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147)) <=> ![X148: $i, X146: $i, X147: $i, X149: $i] : ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147))),
% 121.64/78.49 inference(quant_intro,[status(thm)],[257])).
% 121.64/78.49 tff(259,plain,
% 121.64/78.49 (![X148: $i, X146: $i, X147: $i, X149: $i] : ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147)) <=> ![X148: $i, X146: $i, X147: $i, X149: $i] : ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147))),
% 121.64/78.49 inference(rewrite,[status(thm)],[])).
% 121.64/78.49 tff(260,plain,
% 121.64/78.49 (^[X148: $i, X146: $i, X147: $i, X149: $i] : trans(monotonicity(trans(monotonicity(rewrite((p48(X146, X147) | (~p47(X149, X147))) <=> ((~p47(X149, X147)) | p48(X146, X147))), (((p48(X146, X147) | (~p47(X149, X147))) | (~p48(X148, X149))) <=> (((~p47(X149, X147)) | p48(X146, X147)) | (~p48(X148, X149))))), rewrite((((~p47(X149, X147)) | p48(X146, X147)) | (~p48(X148, X149))) <=> ((~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147))), (((p48(X146, X147) | (~p47(X149, X147))) | (~p48(X148, X149))) <=> ((~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147)))), ((((p48(X146, X147) | (~p47(X149, X147))) | (~p48(X148, X149))) | (~p37(X148, X146))) <=> (((~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147)) | (~p37(X148, X146))))), rewrite((((~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147)) | (~p37(X148, X146))) <=> ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147))), ((((p48(X146, X147) | (~p47(X149, X147))) | (~p48(X148, X149))) | (~p37(X148, X146))) <=> ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147))))),
% 121.64/78.49 inference(bind,[status(th)],[])).
% 121.64/78.49 tff(261,plain,
% 121.64/78.49 (![X148: $i, X146: $i, X147: $i, X149: $i] : (((p48(X146, X147) | (~p47(X149, X147))) | (~p48(X148, X149))) | (~p37(X148, X146))) <=> ![X148: $i, X146: $i, X147: $i, X149: $i] : ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147))),
% 121.64/78.49 inference(quant_intro,[status(thm)],[260])).
% 121.64/78.49 tff(262,axiom,(![X148: $i, X146: $i, X147: $i, X149: $i] : (((p48(X146, X147) | (~p47(X149, X147))) | (~p48(X148, X149))) | (~p37(X148, X146)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','p48_57')).
% 121.64/78.49 tff(263,plain,
% 121.64/78.49 (![X148: $i, X146: $i, X147: $i, X149: $i] : ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147))),
% 121.64/78.49 inference(modus_ponens,[status(thm)],[262, 261])).
% 121.64/78.49 tff(264,plain,
% 121.64/78.49 (![X148: $i, X146: $i, X147: $i, X149: $i] : ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147))),
% 121.64/78.49 inference(modus_ponens,[status(thm)],[263, 259])).
% 121.64/78.49 tff(265,plain,(
% 121.64/78.49 ![X148: $i, X146: $i, X147: $i, X149: $i] : ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147))),
% 121.64/78.49 inference(skolemize,[status(sab)],[264])).
% 121.64/78.49 tff(266,plain,
% 121.64/78.49 (![X148: $i, X146: $i, X147: $i, X149: $i] : ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147))),
% 121.64/78.49 inference(modus_ponens,[status(thm)],[265, 258])).
% 121.64/78.49 tff(267,plain,
% 121.64/78.49 ((~p48(f38(f40(c59, c50), c58), c60)) <=> (~p48(f38(f40(c59, c50), c58), c60))),
% 121.64/78.49 inference(rewrite,[status(thm)],[])).
% 121.64/78.49 tff(268,axiom,(~p48(f38(f40(c59, c50), c58), c60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','not_p48_29')).
% 121.64/78.49 tff(269,plain,
% 121.64/78.49 (~p48(f38(f40(c59, c50), c58), c60)),
% 121.64/78.49 inference(modus_ponens,[status(thm)],[268, 267])).
% 121.64/78.49 tff(270,plain,
% 121.64/78.49 (((~![X148: $i, X146: $i, X147: $i, X149: $i] : ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147))) | (p48(f38(f40(c59, c50), c58), c60) | (~p47(c60, c60)) | (~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58))) | (~p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60)))) <=> ((~![X148: $i, X146: $i, X147: $i, X149: $i] : ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147))) | p48(f38(f40(c59, c50), c58), c60) | (~p47(c60, c60)) | (~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58))) | (~p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60)))),
% 121.64/78.49 inference(rewrite,[status(thm)],[])).
% 121.64/78.49 tff(271,plain,
% 121.64/78.49 (((~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58))) | (~p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60)) | (~p47(c60, c60)) | p48(f38(f40(c59, c50), c58), c60)) <=> (p48(f38(f40(c59, c50), c58), c60) | (~p47(c60, c60)) | (~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58))) | (~p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60)))),
% 121.64/78.49 inference(rewrite,[status(thm)],[])).
% 121.64/78.49 tff(272,plain,
% 121.64/78.49 (((~![X148: $i, X146: $i, X147: $i, X149: $i] : ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147))) | ((~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58))) | (~p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60)) | (~p47(c60, c60)) | p48(f38(f40(c59, c50), c58), c60))) <=> ((~![X148: $i, X146: $i, X147: $i, X149: $i] : ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147))) | (p48(f38(f40(c59, c50), c58), c60) | (~p47(c60, c60)) | (~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58))) | (~p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60))))),
% 121.64/78.49 inference(monotonicity,[status(thm)],[271])).
% 121.64/78.49 tff(273,plain,
% 121.64/78.49 (((~![X148: $i, X146: $i, X147: $i, X149: $i] : ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147))) | ((~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58))) | (~p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60)) | (~p47(c60, c60)) | p48(f38(f40(c59, c50), c58), c60))) <=> ((~![X148: $i, X146: $i, X147: $i, X149: $i] : ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147))) | p48(f38(f40(c59, c50), c58), c60) | (~p47(c60, c60)) | (~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58))) | (~p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60)))),
% 121.64/78.50 inference(transitivity,[status(thm)],[272, 270])).
% 121.64/78.50 tff(274,plain,
% 121.64/78.50 ((~![X148: $i, X146: $i, X147: $i, X149: $i] : ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147))) | ((~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58))) | (~p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60)) | (~p47(c60, c60)) | p48(f38(f40(c59, c50), c58), c60))),
% 121.64/78.50 inference(quant_inst,[status(thm)],[])).
% 121.64/78.50 tff(275,plain,
% 121.64/78.50 ((~![X148: $i, X146: $i, X147: $i, X149: $i] : ((~p37(X148, X146)) | (~p48(X148, X149)) | (~p47(X149, X147)) | p48(X146, X147))) | p48(f38(f40(c59, c50), c58), c60) | (~p47(c60, c60)) | (~p37(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), f38(f40(c59, c50), c58))) | (~p48(f38(f40(c59, c50), f8(f11(c54, f14(f17(c55, c61), f35(f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)), c61))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), f8(f11(c54, f14(f17(c55, c52), f35(c58, c52))), c58)))), c60))),
% 121.64/78.50 inference(modus_ponens,[status(thm)],[274, 273])).
% 121.64/78.50 tff(276,plain,
% 121.64/78.50 ($false),
% 121.64/78.50 inference(unit_resolution,[status(thm)],[275, 269, 266, 256, 247, 163])).
% 121.64/78.50 % SZS output end Proof
%------------------------------------------------------------------------------