TSTP Solution File: SYN065+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN065+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.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 23:53:29 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN065+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Sep 5 01:32:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.55 % SZS status Theorem
% 0.19/0.55 % SZS output start Proof
% 0.19/0.55 tff(big_h_type, type, (
% 0.19/0.55 big_h: ( $i * $i ) > $o)).
% 0.19/0.55 tff(tptp_fun_Y_0_type, type, (
% 0.19/0.55 tptp_fun_Y_0: $i > $i)).
% 0.19/0.55 tff(tptp_fun_Y_1_type, type, (
% 0.19/0.55 tptp_fun_Y_1: $i > $i)).
% 0.19/0.55 tff(tptp_fun_X_2_type, type, (
% 0.19/0.55 tptp_fun_X_2: $i)).
% 0.19/0.55 tff(big_g_type, type, (
% 0.19/0.55 big_g: ( $i * $i ) > $o)).
% 0.19/0.55 tff(big_f_type, type, (
% 0.19/0.55 big_f: ( $i * $i ) > $o)).
% 0.19/0.55 tff(1,plain,
% 0.19/0.55 (![X: $i] : ?[Y: $i] : big_f(X, Y) <=> ![X: $i] : ?[Y: $i] : big_f(X, Y)),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(2,axiom,(![X: $i] : ?[Y: $i] : big_f(X, Y)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pel36_1')).
% 0.19/0.55 tff(3,plain,
% 0.19/0.55 (![X: $i] : ?[Y: $i] : big_f(X, Y)),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.19/0.55 tff(4,plain,(
% 0.19/0.55 ![X: $i] : big_f(X, tptp_fun_Y_0(X))),
% 0.19/0.55 inference(skolemize,[status(sab)],[3])).
% 0.19/0.55 tff(5,plain,
% 0.19/0.55 ((~![X: $i] : big_f(X, tptp_fun_Y_0(X))) | big_f(tptp_fun_Y_1(X!2), tptp_fun_Y_0(tptp_fun_Y_1(X!2)))),
% 0.19/0.55 inference(quant_inst,[status(thm)],[])).
% 0.19/0.55 tff(6,plain,
% 0.19/0.55 (big_f(tptp_fun_Y_1(X!2), tptp_fun_Y_0(tptp_fun_Y_1(X!2)))),
% 0.19/0.55 inference(unit_resolution,[status(thm)],[5, 4])).
% 0.19/0.55 tff(7,plain,
% 0.19/0.55 ((big_f(tptp_fun_Y_1(X!2), tptp_fun_Y_0(tptp_fun_Y_1(X!2))) | big_g(tptp_fun_Y_1(X!2), tptp_fun_Y_0(tptp_fun_Y_1(X!2)))) | (~big_f(tptp_fun_Y_1(X!2), tptp_fun_Y_0(tptp_fun_Y_1(X!2))))),
% 0.19/0.55 inference(tautology,[status(thm)],[])).
% 0.19/0.55 tff(8,plain,
% 0.19/0.55 (big_f(tptp_fun_Y_1(X!2), tptp_fun_Y_0(tptp_fun_Y_1(X!2))) | big_g(tptp_fun_Y_1(X!2), tptp_fun_Y_0(tptp_fun_Y_1(X!2)))),
% 0.19/0.55 inference(unit_resolution,[status(thm)],[7, 6])).
% 0.19/0.55 tff(9,plain,
% 0.19/0.55 (![X: $i] : ?[Y: $i] : big_g(X, Y) <=> ![X: $i] : ?[Y: $i] : big_g(X, Y)),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(10,axiom,(![X: $i] : ?[Y: $i] : big_g(X, Y)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pel36_2')).
% 0.19/0.55 tff(11,plain,
% 0.19/0.55 (![X: $i] : ?[Y: $i] : big_g(X, Y)),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.19/0.55 tff(12,plain,(
% 0.19/0.55 ![X: $i] : big_g(X, tptp_fun_Y_1(X))),
% 0.19/0.55 inference(skolemize,[status(sab)],[11])).
% 0.19/0.55 tff(13,plain,
% 0.19/0.55 ((~![X: $i] : big_g(X, tptp_fun_Y_1(X))) | big_g(X!2, tptp_fun_Y_1(X!2))),
% 0.19/0.55 inference(quant_inst,[status(thm)],[])).
% 0.19/0.55 tff(14,plain,
% 0.19/0.55 (big_g(X!2, tptp_fun_Y_1(X!2))),
% 0.19/0.55 inference(unit_resolution,[status(thm)],[13, 12])).
% 0.19/0.55 tff(15,plain,
% 0.19/0.55 ((big_f(X!2, tptp_fun_Y_1(X!2)) | big_g(X!2, tptp_fun_Y_1(X!2))) | (~big_g(X!2, tptp_fun_Y_1(X!2)))),
% 0.19/0.55 inference(tautology,[status(thm)],[])).
% 0.19/0.55 tff(16,plain,
% 0.19/0.55 (big_f(X!2, tptp_fun_Y_1(X!2)) | big_g(X!2, tptp_fun_Y_1(X!2))),
% 0.19/0.55 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.19/0.55 tff(17,plain,
% 0.19/0.55 (^[X: $i, Y: $i] : refl(((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z))) <=> ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z))))),
% 0.19/0.55 inference(bind,[status(th)],[])).
% 0.19/0.55 tff(18,plain,
% 0.19/0.55 (![X: $i, Y: $i] : ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z))) <=> ![X: $i, Y: $i] : ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z)))),
% 0.19/0.55 inference(quant_intro,[status(thm)],[17])).
% 0.19/0.55 tff(19,plain,
% 0.19/0.55 (^[X: $i, Y: $i] : rewrite(((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z))) <=> ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z))))),
% 0.19/0.55 inference(bind,[status(th)],[])).
% 0.19/0.55 tff(20,plain,
% 0.19/0.55 (![X: $i, Y: $i] : ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z))) <=> ![X: $i, Y: $i] : ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z)))),
% 0.19/0.55 inference(quant_intro,[status(thm)],[19])).
% 0.19/0.55 tff(21,plain,
% 0.19/0.55 (![X: $i, Y: $i] : ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z))) <=> ![X: $i, Y: $i] : ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z)))),
% 0.19/0.55 inference(transitivity,[status(thm)],[20, 18])).
% 0.19/0.55 tff(22,plain,
% 0.19/0.55 (![X: $i, Y: $i] : ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z))) <=> ![X: $i, Y: $i] : ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z)))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(23,plain,
% 0.19/0.55 (^[X: $i, Y: $i] : trans(monotonicity(quant_intro(proof_bind(^[Z: $i] : rewrite(((big_f(Y, Z) | big_g(Y, Z)) => big_h(X, Z)) <=> ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z)))), (![Z: $i] : ((big_f(Y, Z) | big_g(Y, Z)) => big_h(X, Z)) <=> ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z)))), (((big_f(X, Y) | big_g(X, Y)) => ![Z: $i] : ((big_f(Y, Z) | big_g(Y, Z)) => big_h(X, Z))) <=> ((big_f(X, Y) | big_g(X, Y)) => ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z))))), rewrite(((big_f(X, Y) | big_g(X, Y)) => ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z))) <=> ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z)))), (((big_f(X, Y) | big_g(X, Y)) => ![Z: $i] : ((big_f(Y, Z) | big_g(Y, Z)) => big_h(X, Z))) <=> ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z)))))),
% 0.19/0.55 inference(bind,[status(th)],[])).
% 0.19/0.55 tff(24,plain,
% 0.19/0.55 (![X: $i, Y: $i] : ((big_f(X, Y) | big_g(X, Y)) => ![Z: $i] : ((big_f(Y, Z) | big_g(Y, Z)) => big_h(X, Z))) <=> ![X: $i, Y: $i] : ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z)))),
% 0.19/0.55 inference(quant_intro,[status(thm)],[23])).
% 0.19/0.55 tff(25,axiom,(![X: $i, Y: $i] : ((big_f(X, Y) | big_g(X, Y)) => ![Z: $i] : ((big_f(Y, Z) | big_g(Y, Z)) => big_h(X, Z)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pel36_3')).
% 0.19/0.55 tff(26,plain,
% 0.19/0.55 (![X: $i, Y: $i] : ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z)))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.19/0.55 tff(27,plain,
% 0.19/0.55 (![X: $i, Y: $i] : ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z)))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.19/0.55 tff(28,plain,(
% 0.19/0.55 ![X: $i, Y: $i] : ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z)))),
% 0.19/0.55 inference(skolemize,[status(sab)],[27])).
% 0.19/0.55 tff(29,plain,
% 0.19/0.55 (![X: $i, Y: $i] : ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z)))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[28, 21])).
% 0.19/0.55 tff(30,plain,
% 0.19/0.55 (((~![X: $i, Y: $i] : ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z)))) | ((~(big_f(X!2, tptp_fun_Y_1(X!2)) | big_g(X!2, tptp_fun_Y_1(X!2)))) | ![Z: $i] : ((~(big_f(tptp_fun_Y_1(X!2), Z) | big_g(tptp_fun_Y_1(X!2), Z))) | big_h(X!2, Z)))) <=> ((~![X: $i, Y: $i] : ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z)))) | (~(big_f(X!2, tptp_fun_Y_1(X!2)) | big_g(X!2, tptp_fun_Y_1(X!2)))) | ![Z: $i] : ((~(big_f(tptp_fun_Y_1(X!2), Z) | big_g(tptp_fun_Y_1(X!2), Z))) | big_h(X!2, Z)))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(31,plain,
% 0.19/0.55 ((~![X: $i, Y: $i] : ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z)))) | ((~(big_f(X!2, tptp_fun_Y_1(X!2)) | big_g(X!2, tptp_fun_Y_1(X!2)))) | ![Z: $i] : ((~(big_f(tptp_fun_Y_1(X!2), Z) | big_g(tptp_fun_Y_1(X!2), Z))) | big_h(X!2, Z)))),
% 0.19/0.55 inference(quant_inst,[status(thm)],[])).
% 0.19/0.55 tff(32,plain,
% 0.19/0.55 ((~![X: $i, Y: $i] : ((~(big_f(X, Y) | big_g(X, Y))) | ![Z: $i] : ((~(big_f(Y, Z) | big_g(Y, Z))) | big_h(X, Z)))) | (~(big_f(X!2, tptp_fun_Y_1(X!2)) | big_g(X!2, tptp_fun_Y_1(X!2)))) | ![Z: $i] : ((~(big_f(tptp_fun_Y_1(X!2), Z) | big_g(tptp_fun_Y_1(X!2), Z))) | big_h(X!2, Z))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.19/0.55 tff(33,plain,
% 0.19/0.55 (![Z: $i] : ((~(big_f(tptp_fun_Y_1(X!2), Z) | big_g(tptp_fun_Y_1(X!2), Z))) | big_h(X!2, Z))),
% 0.19/0.55 inference(unit_resolution,[status(thm)],[32, 29, 16])).
% 0.19/0.55 tff(34,plain,
% 0.19/0.55 (((~![Z: $i] : ((~(big_f(tptp_fun_Y_1(X!2), Z) | big_g(tptp_fun_Y_1(X!2), Z))) | big_h(X!2, Z))) | ((~(big_f(tptp_fun_Y_1(X!2), tptp_fun_Y_0(tptp_fun_Y_1(X!2))) | big_g(tptp_fun_Y_1(X!2), tptp_fun_Y_0(tptp_fun_Y_1(X!2))))) | big_h(X!2, tptp_fun_Y_0(tptp_fun_Y_1(X!2))))) <=> ((~![Z: $i] : ((~(big_f(tptp_fun_Y_1(X!2), Z) | big_g(tptp_fun_Y_1(X!2), Z))) | big_h(X!2, Z))) | (~(big_f(tptp_fun_Y_1(X!2), tptp_fun_Y_0(tptp_fun_Y_1(X!2))) | big_g(tptp_fun_Y_1(X!2), tptp_fun_Y_0(tptp_fun_Y_1(X!2))))) | big_h(X!2, tptp_fun_Y_0(tptp_fun_Y_1(X!2))))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(35,plain,
% 0.19/0.56 ((~![Z: $i] : ((~(big_f(tptp_fun_Y_1(X!2), Z) | big_g(tptp_fun_Y_1(X!2), Z))) | big_h(X!2, Z))) | ((~(big_f(tptp_fun_Y_1(X!2), tptp_fun_Y_0(tptp_fun_Y_1(X!2))) | big_g(tptp_fun_Y_1(X!2), tptp_fun_Y_0(tptp_fun_Y_1(X!2))))) | big_h(X!2, tptp_fun_Y_0(tptp_fun_Y_1(X!2))))),
% 0.19/0.56 inference(quant_inst,[status(thm)],[])).
% 0.19/0.56 tff(36,plain,
% 0.19/0.56 ((~![Z: $i] : ((~(big_f(tptp_fun_Y_1(X!2), Z) | big_g(tptp_fun_Y_1(X!2), Z))) | big_h(X!2, Z))) | (~(big_f(tptp_fun_Y_1(X!2), tptp_fun_Y_0(tptp_fun_Y_1(X!2))) | big_g(tptp_fun_Y_1(X!2), tptp_fun_Y_0(tptp_fun_Y_1(X!2))))) | big_h(X!2, tptp_fun_Y_0(tptp_fun_Y_1(X!2)))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.19/0.56 tff(37,plain,
% 0.19/0.56 (big_h(X!2, tptp_fun_Y_0(tptp_fun_Y_1(X!2)))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[36, 33, 8])).
% 0.19/0.56 tff(38,plain,
% 0.19/0.56 (^[Y: $i] : refl((~big_h(X!2, Y)) <=> (~big_h(X!2, Y)))),
% 0.19/0.56 inference(bind,[status(th)],[])).
% 0.19/0.56 tff(39,plain,
% 0.19/0.56 (![Y: $i] : (~big_h(X!2, Y)) <=> ![Y: $i] : (~big_h(X!2, Y))),
% 0.19/0.56 inference(quant_intro,[status(thm)],[38])).
% 0.19/0.56 tff(40,plain,
% 0.19/0.56 ((~![X: $i] : ?[Y: $i] : big_h(X, Y)) <=> (~![X: $i] : ?[Y: $i] : big_h(X, Y))),
% 0.19/0.56 inference(rewrite,[status(thm)],[])).
% 0.19/0.56 tff(41,axiom,(~![X: $i] : ?[Y: $i] : big_h(X, Y)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pel36')).
% 0.19/0.56 tff(42,plain,
% 0.19/0.56 (~![X: $i] : ?[Y: $i] : big_h(X, Y)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.19/0.56 tff(43,plain,
% 0.19/0.56 (~![X: $i] : ?[Y: $i] : big_h(X, Y)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[42, 40])).
% 0.19/0.56 tff(44,plain,
% 0.19/0.56 (~![X: $i] : ?[Y: $i] : big_h(X, Y)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[43, 40])).
% 0.19/0.56 tff(45,plain,
% 0.19/0.56 (~![X: $i] : ?[Y: $i] : big_h(X, Y)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[44, 40])).
% 0.19/0.56 tff(46,plain,
% 0.19/0.56 (~![X: $i] : ?[Y: $i] : big_h(X, Y)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[45, 40])).
% 0.19/0.56 tff(47,plain,
% 0.19/0.56 (~![X: $i] : ?[Y: $i] : big_h(X, Y)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[46, 40])).
% 0.19/0.56 tff(48,plain,
% 0.19/0.56 (~![X: $i] : ?[Y: $i] : big_h(X, Y)),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[47, 40])).
% 0.19/0.56 tff(49,plain,(
% 0.19/0.56 $oeq((~?[Y: $i] : big_h(X!2, Y)), ![Y: $i] : (~big_h(X!2, Y)))),
% 0.19/0.56 inference(transitivity,[status(sab)],[48])).
% 0.19/0.56 tff(50,plain,
% 0.19/0.56 (![Y: $i] : (~big_h(X!2, Y))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[49, 39])).
% 0.19/0.56 tff(51,plain,
% 0.19/0.56 ((~![Y: $i] : (~big_h(X!2, Y))) | (~big_h(X!2, tptp_fun_Y_0(tptp_fun_Y_1(X!2))))),
% 0.19/0.56 inference(quant_inst,[status(thm)],[])).
% 0.19/0.56 tff(52,plain,
% 0.19/0.56 ($false),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[51, 50, 37])).
% 0.19/0.56 % SZS output end Proof
%------------------------------------------------------------------------------