TSTP Solution File: NLP143+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : NLP143+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n010.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 : Sun Sep 18 08:47:49 EDT 2022
% Result : Theorem 0.19s 0.41s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NLP143+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 04:49:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 % SZS output start Proof
% 0.19/0.41 tff(object_type, type, (
% 0.19/0.41 object: ( $i * $i ) > $o)).
% 0.19/0.41 tff(tptp_fun_X3_9_type, type, (
% 0.19/0.41 tptp_fun_X3_9: $i > $i)).
% 0.19/0.41 tff(tptp_fun_X_1_type, type, (
% 0.19/0.41 tptp_fun_X_1: ( $i * $i ) > $i)).
% 0.19/0.41 tff(tptp_fun_U_3_type, type, (
% 0.19/0.41 tptp_fun_U_3: $i)).
% 0.19/0.41 tff(tptp_fun_Z_4_type, type, (
% 0.19/0.41 tptp_fun_Z_4: $i)).
% 0.19/0.41 tff(unisex_type, type, (
% 0.19/0.41 unisex: ( $i * $i ) > $o)).
% 0.19/0.41 tff(male_type, type, (
% 0.19/0.41 male: ( $i * $i ) > $o)).
% 0.19/0.41 tff(man_type, type, (
% 0.19/0.41 man: ( $i * $i ) > $o)).
% 0.19/0.41 tff(be_type, type, (
% 0.19/0.41 be: ( $i * $i * $i * $i ) > $o)).
% 0.19/0.41 tff(tptp_fun_X2_10_type, type, (
% 0.19/0.41 tptp_fun_X2_10: $i > $i)).
% 0.19/0.41 tff(in_type, type, (
% 0.19/0.41 in: ( $i * $i * $i ) > $o)).
% 0.19/0.41 tff(state_type, type, (
% 0.19/0.41 state: ( $i * $i ) > $o)).
% 0.19/0.41 tff(frontseat_type, type, (
% 0.19/0.41 frontseat: ( $i * $i ) > $o)).
% 0.19/0.41 tff(member_type, type, (
% 0.19/0.41 member: ( $i * $i * $i ) > $o)).
% 0.19/0.41 tff(tptp_fun_W_0_type, type, (
% 0.19/0.41 tptp_fun_W_0: ( $i * $i ) > $i)).
% 0.19/0.41 tff(two_type, type, (
% 0.19/0.41 two: ( $i * $i ) > $o)).
% 0.19/0.41 tff(tptp_fun_Y_2_type, type, (
% 0.19/0.41 tptp_fun_Y_2: ( $i * $i * $i * $i ) > $i)).
% 0.19/0.41 tff(young_type, type, (
% 0.19/0.41 young: ( $i * $i ) > $o)).
% 0.19/0.41 tff(fellow_type, type, (
% 0.19/0.41 fellow: ( $i * $i ) > $o)).
% 0.19/0.41 tff(group_type, type, (
% 0.19/0.41 group: ( $i * $i ) > $o)).
% 0.19/0.41 tff(tptp_fun_W_7_type, type, (
% 0.19/0.41 tptp_fun_W_7: $i)).
% 0.19/0.41 tff(tptp_fun_Y_5_type, type, (
% 0.19/0.41 tptp_fun_Y_5: $i)).
% 0.19/0.41 tff(down_type, type, (
% 0.19/0.41 down: ( $i * $i * $i ) > $o)).
% 0.19/0.41 tff(tptp_fun_X_6_type, type, (
% 0.19/0.41 tptp_fun_X_6: $i)).
% 0.19/0.41 tff(barrel_type, type, (
% 0.19/0.41 barrel: ( $i * $i ) > $o)).
% 0.19/0.41 tff(present_type, type, (
% 0.19/0.41 present: ( $i * $i ) > $o)).
% 0.19/0.41 tff(agent_type, type, (
% 0.19/0.41 agent: ( $i * $i * $i ) > $o)).
% 0.19/0.41 tff(event_type, type, (
% 0.19/0.41 event: ( $i * $i ) > $o)).
% 0.19/0.41 tff(lonely_type, type, (
% 0.19/0.41 lonely: ( $i * $i ) > $o)).
% 0.19/0.41 tff(street_type, type, (
% 0.19/0.41 street: ( $i * $i ) > $o)).
% 0.19/0.41 tff(old_type, type, (
% 0.19/0.41 old: ( $i * $i ) > $o)).
% 0.19/0.41 tff(dirty_type, type, (
% 0.19/0.41 dirty: ( $i * $i ) > $o)).
% 0.19/0.41 tff(white_type, type, (
% 0.19/0.41 white: ( $i * $i ) > $o)).
% 0.19/0.41 tff(chevy_type, type, (
% 0.19/0.41 chevy: ( $i * $i ) > $o)).
% 0.19/0.41 tff(placename_type, type, (
% 0.19/0.41 placename: ( $i * $i ) > $o)).
% 0.19/0.41 tff(tptp_fun_V_8_type, type, (
% 0.19/0.41 tptp_fun_V_8: $i)).
% 0.19/0.41 tff(hollywood_placename_type, type, (
% 0.19/0.41 hollywood_placename: ( $i * $i ) > $o)).
% 0.19/0.41 tff(city_type, type, (
% 0.19/0.41 city: ( $i * $i ) > $o)).
% 0.19/0.41 tff(of_type, type, (
% 0.19/0.41 of: ( $i * $i * $i ) > $o)).
% 0.19/0.41 tff(actual_world_type, type, (
% 0.19/0.41 actual_world: $i > $o)).
% 0.19/0.41 tff(artifact_type, type, (
% 0.19/0.41 artifact: ( $i * $i ) > $o)).
% 0.19/0.41 tff(instrumentality_type, type, (
% 0.19/0.41 instrumentality: ( $i * $i ) > $o)).
% 0.19/0.41 tff(furniture_type, type, (
% 0.19/0.41 furniture: ( $i * $i ) > $o)).
% 0.19/0.41 tff(seat_type, type, (
% 0.19/0.41 seat: ( $i * $i ) > $o)).
% 0.19/0.41 tff(1,plain,
% 0.19/0.41 (^[U: $i, V: $i] : refl((~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V)))))))))) <=> (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V)))))))))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(2,plain,
% 0.19/0.41 (![U: $i, V: $i] : (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V)))))))))) <=> ![U: $i, V: $i] : (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[1])).
% 0.19/0.41 tff(3,plain,
% 0.19/0.41 (^[U: $i, V: $i] : rewrite((~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V)))))))))) <=> (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V)))))))))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(4,plain,
% 0.19/0.41 (![U: $i, V: $i] : (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V)))))))))) <=> ![U: $i, V: $i] : (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[3])).
% 0.19/0.41 tff(5,plain,
% 0.19/0.41 (![U: $i, V: $i] : (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V)))))))))) <=> ![U: $i, V: $i] : (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))))),
% 0.19/0.41 inference(transitivity,[status(thm)],[4, 2])).
% 0.19/0.41 tff(6,plain,
% 0.19/0.41 (^[U: $i, V: $i] : trans(monotonicity(rewrite(((~two(U, V)) | (member(U, tptp_fun_W_0(V, U), V) & member(U, tptp_fun_X_1(V, U), V) & (~(tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U))) & ![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V))))) <=> ((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))), rewrite((two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))) <=> (two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V)))))))), ((((~two(U, V)) | (member(U, tptp_fun_W_0(V, U), V) & member(U, tptp_fun_X_1(V, U), V) & (~(tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U))) & ![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V))))) & (two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V)))))))) <=> (((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V))))))) & (two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V)))))))))), rewrite((((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V))))))) & (two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V)))))))) <=> (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))))), ((((~two(U, V)) | (member(U, tptp_fun_W_0(V, U), V) & member(U, tptp_fun_X_1(V, U), V) & (~(tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U))) & ![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V))))) & (two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V)))))))) <=> (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(7,plain,
% 0.19/0.41 (![U: $i, V: $i] : (((~two(U, V)) | (member(U, tptp_fun_W_0(V, U), V) & member(U, tptp_fun_X_1(V, U), V) & (~(tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U))) & ![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V))))) & (two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V)))))))) <=> ![U: $i, V: $i] : (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[6])).
% 0.19/0.42 tff(8,plain,
% 0.19/0.42 (^[U: $i, V: $i] : rewrite((((~two(U, V)) | (member(U, tptp_fun_W_0(V, U), V) & (member(U, tptp_fun_X_1(V, U), V) & (~(tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U))) & ![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))) & (two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((~member(U, X, V)) | (~(~(X = W))) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V)))))))) <=> (((~two(U, V)) | (member(U, tptp_fun_W_0(V, U), V) & member(U, tptp_fun_X_1(V, U), V) & (~(tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U))) & ![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V))))) & (two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V)))))))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(9,plain,
% 0.19/0.42 (![U: $i, V: $i] : (((~two(U, V)) | (member(U, tptp_fun_W_0(V, U), V) & (member(U, tptp_fun_X_1(V, U), V) & (~(tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U))) & ![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))) & (two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((~member(U, X, V)) | (~(~(X = W))) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V)))))))) <=> ![U: $i, V: $i] : (((~two(U, V)) | (member(U, tptp_fun_W_0(V, U), V) & member(U, tptp_fun_X_1(V, U), V) & (~(tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U))) & ![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V))))) & (two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[8])).
% 0.19/0.42 tff(10,plain,
% 0.19/0.42 (![U: $i, V: $i] : (two(U, V) <=> ?[W: $i] : (member(U, W, V) & ?[X: $i] : (member(U, X, V) & (~(X = W)) & ![Y: $i] : ((Y = W) | (Y = X) | (~member(U, Y, V)))))) <=> ![U: $i, V: $i] : (two(U, V) <=> ?[W: $i] : (member(U, W, V) & ?[X: $i] : (member(U, X, V) & (~(X = W)) & ![Y: $i] : ((Y = W) | (Y = X) | (~member(U, Y, V))))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(11,plain,
% 0.19/0.42 (^[U: $i, V: $i] : rewrite((two(U, V) <=> ?[W: $i] : (member(U, W, V) & ?[X: $i] : ((member(U, X, V) & (~(X = W))) & ![Y: $i] : (member(U, Y, V) => ((Y = X) | (Y = W)))))) <=> (two(U, V) <=> ?[W: $i] : (member(U, W, V) & ?[X: $i] : (member(U, X, V) & (~(X = W)) & ![Y: $i] : ((Y = W) | (Y = X) | (~member(U, Y, V)))))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(12,plain,
% 0.19/0.42 (![U: $i, V: $i] : (two(U, V) <=> ?[W: $i] : (member(U, W, V) & ?[X: $i] : ((member(U, X, V) & (~(X = W))) & ![Y: $i] : (member(U, Y, V) => ((Y = X) | (Y = W)))))) <=> ![U: $i, V: $i] : (two(U, V) <=> ?[W: $i] : (member(U, W, V) & ?[X: $i] : (member(U, X, V) & (~(X = W)) & ![Y: $i] : ((Y = W) | (Y = X) | (~member(U, Y, V))))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[11])).
% 0.19/0.42 tff(13,axiom,(![U: $i, V: $i] : (two(U, V) <=> ?[W: $i] : (member(U, W, V) & ?[X: $i] : ((member(U, X, V) & (~(X = W))) & ![Y: $i] : (member(U, Y, V) => ((Y = X) | (Y = W))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax60')).
% 0.19/0.42 tff(14,plain,
% 0.19/0.42 (![U: $i, V: $i] : (two(U, V) <=> ?[W: $i] : (member(U, W, V) & ?[X: $i] : (member(U, X, V) & (~(X = W)) & ![Y: $i] : ((Y = W) | (Y = X) | (~member(U, Y, V))))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.19/0.42 tff(15,plain,
% 0.19/0.42 (![U: $i, V: $i] : (two(U, V) <=> ?[W: $i] : (member(U, W, V) & ?[X: $i] : (member(U, X, V) & (~(X = W)) & ![Y: $i] : ((Y = W) | (Y = X) | (~member(U, Y, V))))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.19/0.42 tff(16,plain,(
% 0.19/0.42 ![U: $i, V: $i] : (((~two(U, V)) | (member(U, tptp_fun_W_0(V, U), V) & (member(U, tptp_fun_X_1(V, U), V) & (~(tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U))) & ![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))) & (two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((~member(U, X, V)) | (~(~(X = W))) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))),
% 0.19/0.42 inference(skolemize,[status(sab)],[15])).
% 0.19/0.42 tff(17,plain,
% 0.19/0.42 (![U: $i, V: $i] : (((~two(U, V)) | (member(U, tptp_fun_W_0(V, U), V) & member(U, tptp_fun_X_1(V, U), V) & (~(tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U))) & ![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V))))) & (two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[16, 9])).
% 0.19/0.42 tff(18,plain,
% 0.19/0.42 (![U: $i, V: $i] : (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[17, 7])).
% 0.19/0.42 tff(19,plain,
% 0.19/0.42 (![U: $i, V: $i] : (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[18, 5])).
% 0.19/0.42 tff(20,plain,
% 0.19/0.42 (((~![U: $i, V: $i] : (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))))) | (~((~((~two(U!3, Z!4)) | (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((~member(U!3, Y, Z!4)) | (Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3)))))))) | (~(two(U!3, Z!4) | ![W: $i] : ((~member(U!3, W, Z!4)) | ![X: $i] : ((X = W) | (~member(U!3, X, Z!4)) | (~((tptp_fun_Y_2(X, W, Z!4, U!3) = W) | (tptp_fun_Y_2(X, W, Z!4, U!3) = X) | (~member(U!3, tptp_fun_Y_2(X, W, Z!4, U!3), Z!4))))))))))) <=> ((~![U: $i, V: $i] : (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))))) | (~((~((~two(U!3, Z!4)) | (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((~member(U!3, Y, Z!4)) | (Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3)))))))) | (~(two(U!3, Z!4) | ![W: $i] : ((~member(U!3, W, Z!4)) | ![X: $i] : ((X = W) | (~member(U!3, X, Z!4)) | (~((tptp_fun_Y_2(X, W, Z!4, U!3) = W) | (tptp_fun_Y_2(X, W, Z!4, U!3) = X) | (~member(U!3, tptp_fun_Y_2(X, W, Z!4, U!3), Z!4)))))))))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(21,plain,
% 0.19/0.42 ((~((~((~two(U!3, Z!4)) | (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3)) | (~member(U!3, Y, Z!4)))))))) | (~(two(U!3, Z!4) | ![W: $i] : ((~member(U!3, W, Z!4)) | ![X: $i] : ((X = W) | (~member(U!3, X, Z!4)) | (~((tptp_fun_Y_2(X, W, Z!4, U!3) = W) | (tptp_fun_Y_2(X, W, Z!4, U!3) = X) | (~member(U!3, tptp_fun_Y_2(X, W, Z!4, U!3), Z!4)))))))))) <=> (~((~((~two(U!3, Z!4)) | (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((~member(U!3, Y, Z!4)) | (Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3)))))))) | (~(two(U!3, Z!4) | ![W: $i] : ((~member(U!3, W, Z!4)) | ![X: $i] : ((X = W) | (~member(U!3, X, Z!4)) | (~((tptp_fun_Y_2(X, W, Z!4, U!3) = W) | (tptp_fun_Y_2(X, W, Z!4, U!3) = X) | (~member(U!3, tptp_fun_Y_2(X, W, Z!4, U!3), Z!4))))))))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(22,plain,
% 0.19/0.42 (((~![U: $i, V: $i] : (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))))) | (~((~((~two(U!3, Z!4)) | (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3)) | (~member(U!3, Y, Z!4)))))))) | (~(two(U!3, Z!4) | ![W: $i] : ((~member(U!3, W, Z!4)) | ![X: $i] : ((X = W) | (~member(U!3, X, Z!4)) | (~((tptp_fun_Y_2(X, W, Z!4, U!3) = W) | (tptp_fun_Y_2(X, W, Z!4, U!3) = X) | (~member(U!3, tptp_fun_Y_2(X, W, Z!4, U!3), Z!4))))))))))) <=> ((~![U: $i, V: $i] : (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))))) | (~((~((~two(U!3, Z!4)) | (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((~member(U!3, Y, Z!4)) | (Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3)))))))) | (~(two(U!3, Z!4) | ![W: $i] : ((~member(U!3, W, Z!4)) | ![X: $i] : ((X = W) | (~member(U!3, X, Z!4)) | (~((tptp_fun_Y_2(X, W, Z!4, U!3) = W) | (tptp_fun_Y_2(X, W, Z!4, U!3) = X) | (~member(U!3, tptp_fun_Y_2(X, W, Z!4, U!3), Z!4)))))))))))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[21])).
% 0.19/0.42 tff(23,plain,
% 0.19/0.42 (((~![U: $i, V: $i] : (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))))) | (~((~((~two(U!3, Z!4)) | (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3)) | (~member(U!3, Y, Z!4)))))))) | (~(two(U!3, Z!4) | ![W: $i] : ((~member(U!3, W, Z!4)) | ![X: $i] : ((X = W) | (~member(U!3, X, Z!4)) | (~((tptp_fun_Y_2(X, W, Z!4, U!3) = W) | (tptp_fun_Y_2(X, W, Z!4, U!3) = X) | (~member(U!3, tptp_fun_Y_2(X, W, Z!4, U!3), Z!4))))))))))) <=> ((~![U: $i, V: $i] : (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))))) | (~((~((~two(U!3, Z!4)) | (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((~member(U!3, Y, Z!4)) | (Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3)))))))) | (~(two(U!3, Z!4) | ![W: $i] : ((~member(U!3, W, Z!4)) | ![X: $i] : ((X = W) | (~member(U!3, X, Z!4)) | (~((tptp_fun_Y_2(X, W, Z!4, U!3) = W) | (tptp_fun_Y_2(X, W, Z!4, U!3) = X) | (~member(U!3, tptp_fun_Y_2(X, W, Z!4, U!3), Z!4)))))))))))),
% 0.19/0.43 inference(transitivity,[status(thm)],[22, 20])).
% 0.19/0.43 tff(24,plain,
% 0.19/0.43 ((~![U: $i, V: $i] : (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))))) | (~((~((~two(U!3, Z!4)) | (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3)) | (~member(U!3, Y, Z!4)))))))) | (~(two(U!3, Z!4) | ![W: $i] : ((~member(U!3, W, Z!4)) | ![X: $i] : ((X = W) | (~member(U!3, X, Z!4)) | (~((tptp_fun_Y_2(X, W, Z!4, U!3) = W) | (tptp_fun_Y_2(X, W, Z!4, U!3) = X) | (~member(U!3, tptp_fun_Y_2(X, W, Z!4, U!3), Z!4))))))))))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(25,plain,
% 0.19/0.43 ((~![U: $i, V: $i] : (~((~((~two(U, V)) | (~((tptp_fun_X_1(V, U) = tptp_fun_W_0(V, U)) | (~member(U, tptp_fun_W_0(V, U), V)) | (~member(U, tptp_fun_X_1(V, U), V)) | (~![Y: $i] : ((Y = tptp_fun_W_0(V, U)) | (Y = tptp_fun_X_1(V, U)) | (~member(U, Y, V)))))))) | (~(two(U, V) | ![W: $i] : ((~member(U, W, V)) | ![X: $i] : ((X = W) | (~member(U, X, V)) | (~((tptp_fun_Y_2(X, W, V, U) = W) | (tptp_fun_Y_2(X, W, V, U) = X) | (~member(U, tptp_fun_Y_2(X, W, V, U), V))))))))))) | (~((~((~two(U!3, Z!4)) | (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((~member(U!3, Y, Z!4)) | (Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3)))))))) | (~(two(U!3, Z!4) | ![W: $i] : ((~member(U!3, W, Z!4)) | ![X: $i] : ((X = W) | (~member(U!3, X, Z!4)) | (~((tptp_fun_Y_2(X, W, Z!4, U!3) = W) | (tptp_fun_Y_2(X, W, Z!4, U!3) = X) | (~member(U!3, tptp_fun_Y_2(X, W, Z!4, U!3), Z!4))))))))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.19/0.43 tff(26,plain,
% 0.19/0.43 (~((~((~two(U!3, Z!4)) | (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((~member(U!3, Y, Z!4)) | (Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3)))))))) | (~(two(U!3, Z!4) | ![W: $i] : ((~member(U!3, W, Z!4)) | ![X: $i] : ((X = W) | (~member(U!3, X, Z!4)) | (~((tptp_fun_Y_2(X, W, Z!4, U!3) = W) | (tptp_fun_Y_2(X, W, Z!4, U!3) = X) | (~member(U!3, tptp_fun_Y_2(X, W, Z!4, U!3), Z!4)))))))))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[25, 19])).
% 0.19/0.43 tff(27,plain,
% 0.19/0.43 (((~((~two(U!3, Z!4)) | (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((~member(U!3, Y, Z!4)) | (Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3)))))))) | (~(two(U!3, Z!4) | ![W: $i] : ((~member(U!3, W, Z!4)) | ![X: $i] : ((X = W) | (~member(U!3, X, Z!4)) | (~((tptp_fun_Y_2(X, W, Z!4, U!3) = W) | (tptp_fun_Y_2(X, W, Z!4, U!3) = X) | (~member(U!3, tptp_fun_Y_2(X, W, Z!4, U!3), Z!4))))))))) | ((~two(U!3, Z!4)) | (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((~member(U!3, Y, Z!4)) | (Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3)))))))),
% 0.19/0.43 inference(tautology,[status(thm)],[])).
% 0.19/0.43 tff(28,plain,
% 0.19/0.43 ((~two(U!3, Z!4)) | (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((~member(U!3, Y, Z!4)) | (Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3))))))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[27, 26])).
% 0.19/0.43 tff(29,plain,
% 0.19/0.43 ((actual_world(U!3) & (of(U!3, V!8, W!7) & city(U!3, W!7) & hollywood_placename(U!3, V!8) & placename(U!3, V!8) & chevy(U!3, W!7) & white(U!3, W!7) & dirty(U!3, W!7) & old(U!3, W!7) & street(U!3, X!6) & lonely(U!3, X!6) & event(U!3, Y!5) & agent(U!3, Y!5, W!7) & present(U!3, Y!5) & barrel(U!3, Y!5) & down(U!3, Y!5, X!6) & in(U!3, Y!5, W!7) & ![X1: $i] : ((~member(U!3, X1, Z!4)) | (frontseat(U!3, tptp_fun_X3_9(X1)) & state(U!3, tptp_fun_X2_10(X1)) & be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1)) & in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1)))) & two(U!3, Z!4) & group(U!3, Z!4) & ![X4: $i] : ((~member(U!3, X4, Z!4)) | (fellow(U!3, X4) & young(U!3, X4))))) <=> (actual_world(U!3) & of(U!3, V!8, W!7) & city(U!3, W!7) & hollywood_placename(U!3, V!8) & placename(U!3, V!8) & chevy(U!3, W!7) & white(U!3, W!7) & dirty(U!3, W!7) & old(U!3, W!7) & street(U!3, X!6) & lonely(U!3, X!6) & event(U!3, Y!5) & agent(U!3, Y!5, W!7) & present(U!3, Y!5) & barrel(U!3, Y!5) & down(U!3, Y!5, X!6) & in(U!3, Y!5, W!7) & ![X1: $i] : ((~member(U!3, X1, Z!4)) | (frontseat(U!3, tptp_fun_X3_9(X1)) & state(U!3, tptp_fun_X2_10(X1)) & be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1)) & in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1)))) & two(U!3, Z!4) & group(U!3, Z!4) & ![X4: $i] : ((~member(U!3, X4, Z!4)) | (fellow(U!3, X4) & young(U!3, X4))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(30,plain,
% 0.19/0.43 ((of(U!3, V!8, W!7) & city(U!3, W!7) & hollywood_placename(U!3, V!8) & placename(U!3, V!8) & chevy(U!3, W!7) & white(U!3, W!7) & dirty(U!3, W!7) & old(U!3, W!7) & street(U!3, X!6) & lonely(U!3, X!6) & event(U!3, Y!5) & agent(U!3, Y!5, W!7) & present(U!3, Y!5) & barrel(U!3, Y!5) & down(U!3, Y!5, X!6) & in(U!3, Y!5, W!7) & ![X1: $i] : ((~member(U!3, X1, Z!4)) | (frontseat(U!3, tptp_fun_X3_9(X1)) & state(U!3, tptp_fun_X2_10(X1)) & be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1)) & in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1)))) & two(U!3, Z!4) & group(U!3, Z!4) & ![X4: $i] : ((~member(U!3, X4, Z!4)) | (fellow(U!3, X4) & young(U!3, X4)))) <=> (of(U!3, V!8, W!7) & city(U!3, W!7) & hollywood_placename(U!3, V!8) & placename(U!3, V!8) & chevy(U!3, W!7) & white(U!3, W!7) & dirty(U!3, W!7) & old(U!3, W!7) & street(U!3, X!6) & lonely(U!3, X!6) & event(U!3, Y!5) & agent(U!3, Y!5, W!7) & present(U!3, Y!5) & barrel(U!3, Y!5) & down(U!3, Y!5, X!6) & in(U!3, Y!5, W!7) & ![X1: $i] : ((~member(U!3, X1, Z!4)) | (frontseat(U!3, tptp_fun_X3_9(X1)) & state(U!3, tptp_fun_X2_10(X1)) & be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1)) & in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1)))) & two(U!3, Z!4) & group(U!3, Z!4) & ![X4: $i] : ((~member(U!3, X4, Z!4)) | (fellow(U!3, X4) & young(U!3, X4))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(31,plain,
% 0.19/0.43 ((actual_world(U!3) & (of(U!3, V!8, W!7) & city(U!3, W!7) & hollywood_placename(U!3, V!8) & placename(U!3, V!8) & chevy(U!3, W!7) & white(U!3, W!7) & dirty(U!3, W!7) & old(U!3, W!7) & street(U!3, X!6) & lonely(U!3, X!6) & event(U!3, Y!5) & agent(U!3, Y!5, W!7) & present(U!3, Y!5) & barrel(U!3, Y!5) & down(U!3, Y!5, X!6) & in(U!3, Y!5, W!7) & ![X1: $i] : ((~member(U!3, X1, Z!4)) | (frontseat(U!3, tptp_fun_X3_9(X1)) & state(U!3, tptp_fun_X2_10(X1)) & be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1)) & in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1)))) & two(U!3, Z!4) & group(U!3, Z!4) & ![X4: $i] : ((~member(U!3, X4, Z!4)) | (fellow(U!3, X4) & young(U!3, X4))))) <=> (actual_world(U!3) & (of(U!3, V!8, W!7) & city(U!3, W!7) & hollywood_placename(U!3, V!8) & placename(U!3, V!8) & chevy(U!3, W!7) & white(U!3, W!7) & dirty(U!3, W!7) & old(U!3, W!7) & street(U!3, X!6) & lonely(U!3, X!6) & event(U!3, Y!5) & agent(U!3, Y!5, W!7) & present(U!3, Y!5) & barrel(U!3, Y!5) & down(U!3, Y!5, X!6) & in(U!3, Y!5, W!7) & ![X1: $i] : ((~member(U!3, X1, Z!4)) | (frontseat(U!3, tptp_fun_X3_9(X1)) & state(U!3, tptp_fun_X2_10(X1)) & be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1)) & in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1)))) & two(U!3, Z!4) & group(U!3, Z!4) & ![X4: $i] : ((~member(U!3, X4, Z!4)) | (fellow(U!3, X4) & young(U!3, X4)))))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[30])).
% 0.19/0.44 tff(32,plain,
% 0.19/0.44 ((actual_world(U!3) & (of(U!3, V!8, W!7) & city(U!3, W!7) & hollywood_placename(U!3, V!8) & placename(U!3, V!8) & chevy(U!3, W!7) & white(U!3, W!7) & dirty(U!3, W!7) & old(U!3, W!7) & street(U!3, X!6) & lonely(U!3, X!6) & event(U!3, Y!5) & agent(U!3, Y!5, W!7) & present(U!3, Y!5) & barrel(U!3, Y!5) & down(U!3, Y!5, X!6) & in(U!3, Y!5, W!7) & ![X1: $i] : ((~member(U!3, X1, Z!4)) | (frontseat(U!3, tptp_fun_X3_9(X1)) & state(U!3, tptp_fun_X2_10(X1)) & be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1)) & in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1)))) & two(U!3, Z!4) & group(U!3, Z!4) & ![X4: $i] : ((~member(U!3, X4, Z!4)) | (fellow(U!3, X4) & young(U!3, X4))))) <=> (actual_world(U!3) & of(U!3, V!8, W!7) & city(U!3, W!7) & hollywood_placename(U!3, V!8) & placename(U!3, V!8) & chevy(U!3, W!7) & white(U!3, W!7) & dirty(U!3, W!7) & old(U!3, W!7) & street(U!3, X!6) & lonely(U!3, X!6) & event(U!3, Y!5) & agent(U!3, Y!5, W!7) & present(U!3, Y!5) & barrel(U!3, Y!5) & down(U!3, Y!5, X!6) & in(U!3, Y!5, W!7) & ![X1: $i] : ((~member(U!3, X1, Z!4)) | (frontseat(U!3, tptp_fun_X3_9(X1)) & state(U!3, tptp_fun_X2_10(X1)) & be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1)) & in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1)))) & two(U!3, Z!4) & group(U!3, Z!4) & ![X4: $i] : ((~member(U!3, X4, Z!4)) | (fellow(U!3, X4) & young(U!3, X4))))),
% 0.19/0.44 inference(transitivity,[status(thm)],[31, 29])).
% 0.19/0.44 tff(33,plain,
% 0.19/0.44 (?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i] : (of(U, V, W) & city(U, W) & hollywood_placename(U, V) & placename(U, V) & chevy(U, W) & white(U, W) & dirty(U, W) & old(U, W) & street(U, X) & lonely(U, X) & event(U, Y) & agent(U, Y, W) & present(U, Y) & barrel(U, Y) & down(U, Y, X) & in(U, Y, W) & ![X1: $i] : ((~member(U, X1, Z)) | ?[X2: $i, X3: $i] : (frontseat(U, X3) & state(U, X2) & be(U, X2, X1, X3) & in(U, X3, X3))) & two(U, Z) & group(U, Z) & ![X4: $i] : ((~member(U, X4, Z)) | (fellow(U, X4) & young(U, X4))))) <=> ?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i] : (of(U, V, W) & city(U, W) & hollywood_placename(U, V) & placename(U, V) & chevy(U, W) & white(U, W) & dirty(U, W) & old(U, W) & street(U, X) & lonely(U, X) & event(U, Y) & agent(U, Y, W) & present(U, Y) & barrel(U, Y) & down(U, Y, X) & in(U, Y, W) & ![X1: $i] : ((~member(U, X1, Z)) | ?[X2: $i, X3: $i] : (frontseat(U, X3) & state(U, X2) & be(U, X2, X1, X3) & in(U, X3, X3))) & two(U, Z) & group(U, Z) & ![X4: $i] : ((~member(U, X4, Z)) | (fellow(U, X4) & young(U, X4)))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(34,plain,
% 0.19/0.44 ((~(~?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i] : (of(U, V, W) & city(U, W) & hollywood_placename(U, V) & placename(U, V) & chevy(U, W) & white(U, W) & dirty(U, W) & old(U, W) & street(U, X) & lonely(U, X) & event(U, Y) & agent(U, Y, W) & present(U, Y) & barrel(U, Y) & down(U, Y, X) & in(U, Y, W) & ![X1: $i] : ((~member(U, X1, Z)) | ?[X2: $i, X3: $i] : (frontseat(U, X3) & state(U, X2) & be(U, X2, X1, X3) & in(U, X3, X3))) & two(U, Z) & group(U, Z) & ![X4: $i] : ((~member(U, X4, Z)) | (fellow(U, X4) & young(U, X4))))))) <=> ?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i] : (of(U, V, W) & city(U, W) & hollywood_placename(U, V) & placename(U, V) & chevy(U, W) & white(U, W) & dirty(U, W) & old(U, W) & street(U, X) & lonely(U, X) & event(U, Y) & agent(U, Y, W) & present(U, Y) & barrel(U, Y) & down(U, Y, X) & in(U, Y, W) & ![X1: $i] : ((~member(U, X1, Z)) | ?[X2: $i, X3: $i] : (frontseat(U, X3) & state(U, X2) & be(U, X2, X1, X3) & in(U, X3, X3))) & two(U, Z) & group(U, Z) & ![X4: $i] : ((~member(U, X4, Z)) | (fellow(U, X4) & young(U, X4)))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(35,plain,
% 0.19/0.44 ((~?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i] : (((((((((((((((((((of(U, V, W) & city(U, W)) & hollywood_placename(U, V)) & placename(U, V)) & chevy(U, W)) & white(U, W)) & dirty(U, W)) & old(U, W)) & street(U, X)) & lonely(U, X)) & event(U, Y)) & agent(U, Y, W)) & present(U, Y)) & barrel(U, Y)) & down(U, Y, X)) & in(U, Y, W)) & ![X1: $i] : (member(U, X1, Z) => ?[X2: $i, X3: $i] : (((frontseat(U, X3) & state(U, X2)) & be(U, X2, X1, X3)) & in(U, X3, X3)))) & two(U, Z)) & group(U, Z)) & ![X4: $i] : (member(U, X4, Z) => (fellow(U, X4) & young(U, X4)))))) <=> (~?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i] : (of(U, V, W) & city(U, W) & hollywood_placename(U, V) & placename(U, V) & chevy(U, W) & white(U, W) & dirty(U, W) & old(U, W) & street(U, X) & lonely(U, X) & event(U, Y) & agent(U, Y, W) & present(U, Y) & barrel(U, Y) & down(U, Y, X) & in(U, Y, W) & ![X1: $i] : ((~member(U, X1, Z)) | ?[X2: $i, X3: $i] : (frontseat(U, X3) & state(U, X2) & be(U, X2, X1, X3) & in(U, X3, X3))) & two(U, Z) & group(U, Z) & ![X4: $i] : ((~member(U, X4, Z)) | (fellow(U, X4) & young(U, X4))))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(36,plain,
% 0.19/0.44 ((~(~?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i] : (((((((((((((((((((of(U, V, W) & city(U, W)) & hollywood_placename(U, V)) & placename(U, V)) & chevy(U, W)) & white(U, W)) & dirty(U, W)) & old(U, W)) & street(U, X)) & lonely(U, X)) & event(U, Y)) & agent(U, Y, W)) & present(U, Y)) & barrel(U, Y)) & down(U, Y, X)) & in(U, Y, W)) & ![X1: $i] : (member(U, X1, Z) => ?[X2: $i, X3: $i] : (((frontseat(U, X3) & state(U, X2)) & be(U, X2, X1, X3)) & in(U, X3, X3)))) & two(U, Z)) & group(U, Z)) & ![X4: $i] : (member(U, X4, Z) => (fellow(U, X4) & young(U, X4))))))) <=> (~(~?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i] : (of(U, V, W) & city(U, W) & hollywood_placename(U, V) & placename(U, V) & chevy(U, W) & white(U, W) & dirty(U, W) & old(U, W) & street(U, X) & lonely(U, X) & event(U, Y) & agent(U, Y, W) & present(U, Y) & barrel(U, Y) & down(U, Y, X) & in(U, Y, W) & ![X1: $i] : ((~member(U, X1, Z)) | ?[X2: $i, X3: $i] : (frontseat(U, X3) & state(U, X2) & be(U, X2, X1, X3) & in(U, X3, X3))) & two(U, Z) & group(U, Z) & ![X4: $i] : ((~member(U, X4, Z)) | (fellow(U, X4) & young(U, X4)))))))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[35])).
% 0.19/0.44 tff(37,plain,
% 0.19/0.44 ((~(~?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i] : (((((((((((((((((((of(U, V, W) & city(U, W)) & hollywood_placename(U, V)) & placename(U, V)) & chevy(U, W)) & white(U, W)) & dirty(U, W)) & old(U, W)) & street(U, X)) & lonely(U, X)) & event(U, Y)) & agent(U, Y, W)) & present(U, Y)) & barrel(U, Y)) & down(U, Y, X)) & in(U, Y, W)) & ![X1: $i] : (member(U, X1, Z) => ?[X2: $i, X3: $i] : (((frontseat(U, X3) & state(U, X2)) & be(U, X2, X1, X3)) & in(U, X3, X3)))) & two(U, Z)) & group(U, Z)) & ![X4: $i] : (member(U, X4, Z) => (fellow(U, X4) & young(U, X4))))))) <=> ?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i] : (of(U, V, W) & city(U, W) & hollywood_placename(U, V) & placename(U, V) & chevy(U, W) & white(U, W) & dirty(U, W) & old(U, W) & street(U, X) & lonely(U, X) & event(U, Y) & agent(U, Y, W) & present(U, Y) & barrel(U, Y) & down(U, Y, X) & in(U, Y, W) & ![X1: $i] : ((~member(U, X1, Z)) | ?[X2: $i, X3: $i] : (frontseat(U, X3) & state(U, X2) & be(U, X2, X1, X3) & in(U, X3, X3))) & two(U, Z) & group(U, Z) & ![X4: $i] : ((~member(U, X4, Z)) | (fellow(U, X4) & young(U, X4)))))),
% 0.19/0.44 inference(transitivity,[status(thm)],[36, 34])).
% 0.19/0.44 tff(38,axiom,(~(~?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i] : (((((((((((((((((((of(U, V, W) & city(U, W)) & hollywood_placename(U, V)) & placename(U, V)) & chevy(U, W)) & white(U, W)) & dirty(U, W)) & old(U, W)) & street(U, X)) & lonely(U, X)) & event(U, Y)) & agent(U, Y, W)) & present(U, Y)) & barrel(U, Y)) & down(U, Y, X)) & in(U, Y, W)) & ![X1: $i] : (member(U, X1, Z) => ?[X2: $i, X3: $i] : (((frontseat(U, X3) & state(U, X2)) & be(U, X2, X1, X3)) & in(U, X3, X3)))) & two(U, Z)) & group(U, Z)) & ![X4: $i] : (member(U, X4, Z) => (fellow(U, X4) & young(U, X4))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','co1')).
% 0.19/0.44 tff(39,plain,
% 0.19/0.44 (?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i] : (of(U, V, W) & city(U, W) & hollywood_placename(U, V) & placename(U, V) & chevy(U, W) & white(U, W) & dirty(U, W) & old(U, W) & street(U, X) & lonely(U, X) & event(U, Y) & agent(U, Y, W) & present(U, Y) & barrel(U, Y) & down(U, Y, X) & in(U, Y, W) & ![X1: $i] : ((~member(U, X1, Z)) | ?[X2: $i, X3: $i] : (frontseat(U, X3) & state(U, X2) & be(U, X2, X1, X3) & in(U, X3, X3))) & two(U, Z) & group(U, Z) & ![X4: $i] : ((~member(U, X4, Z)) | (fellow(U, X4) & young(U, X4)))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.19/0.44 tff(40,plain,
% 0.19/0.44 (?[U: $i] : (actual_world(U) & ?[V: $i, W: $i, X: $i, Y: $i, Z: $i] : (of(U, V, W) & city(U, W) & hollywood_placename(U, V) & placename(U, V) & chevy(U, W) & white(U, W) & dirty(U, W) & old(U, W) & street(U, X) & lonely(U, X) & event(U, Y) & agent(U, Y, W) & present(U, Y) & barrel(U, Y) & down(U, Y, X) & in(U, Y, W) & ![X1: $i] : ((~member(U, X1, Z)) | ?[X2: $i, X3: $i] : (frontseat(U, X3) & state(U, X2) & be(U, X2, X1, X3) & in(U, X3, X3))) & two(U, Z) & group(U, Z) & ![X4: $i] : ((~member(U, X4, Z)) | (fellow(U, X4) & young(U, X4)))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[39, 33])).
% 0.19/0.44 tff(41,plain,
% 0.19/0.44 (actual_world(U!3) & of(U!3, V!8, W!7) & city(U!3, W!7) & hollywood_placename(U!3, V!8) & placename(U!3, V!8) & chevy(U!3, W!7) & white(U!3, W!7) & dirty(U!3, W!7) & old(U!3, W!7) & street(U!3, X!6) & lonely(U!3, X!6) & event(U!3, Y!5) & agent(U!3, Y!5, W!7) & present(U!3, Y!5) & barrel(U!3, Y!5) & down(U!3, Y!5, X!6) & in(U!3, Y!5, W!7) & ![X1: $i] : ((~member(U!3, X1, Z!4)) | (frontseat(U!3, tptp_fun_X3_9(X1)) & state(U!3, tptp_fun_X2_10(X1)) & be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1)) & in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1)))) & two(U!3, Z!4) & group(U!3, Z!4) & ![X4: $i] : ((~member(U!3, X4, Z!4)) | (fellow(U!3, X4) & young(U!3, X4)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[40, 32])).
% 0.19/0.44 tff(42,plain,
% 0.19/0.44 (two(U!3, Z!4)),
% 0.19/0.44 inference(and_elim,[status(thm)],[41])).
% 0.19/0.44 tff(43,plain,
% 0.19/0.44 ((~((~two(U!3, Z!4)) | (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((~member(U!3, Y, Z!4)) | (Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3)))))))) | (~two(U!3, Z!4)) | (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((~member(U!3, Y, Z!4)) | (Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3))))))),
% 0.19/0.44 inference(tautology,[status(thm)],[])).
% 0.19/0.44 tff(44,plain,
% 0.19/0.44 ((~((~two(U!3, Z!4)) | (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((~member(U!3, Y, Z!4)) | (Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3)))))))) | (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((~member(U!3, Y, Z!4)) | (Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3))))))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[43, 42])).
% 0.19/0.44 tff(45,plain,
% 0.19/0.44 (~((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((~member(U!3, Y, Z!4)) | (Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3)))))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[44, 28])).
% 0.19/0.45 tff(46,plain,
% 0.19/0.45 (((tptp_fun_X_1(Z!4, U!3) = tptp_fun_W_0(Z!4, U!3)) | (~member(U!3, tptp_fun_W_0(Z!4, U!3), Z!4)) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~![Y: $i] : ((~member(U!3, Y, Z!4)) | (Y = tptp_fun_W_0(Z!4, U!3)) | (Y = tptp_fun_X_1(Z!4, U!3))))) | member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(47,plain,
% 0.19/0.45 (member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[46, 45])).
% 0.19/0.45 tff(48,plain,
% 0.19/0.45 (^[X1: $i] : refl(((~member(U!3, X1, Z!4)) | (~((~frontseat(U!3, tptp_fun_X3_9(X1))) | (~state(U!3, tptp_fun_X2_10(X1))) | (~be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1))) | (~in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1)))))) <=> ((~member(U!3, X1, Z!4)) | (~((~frontseat(U!3, tptp_fun_X3_9(X1))) | (~state(U!3, tptp_fun_X2_10(X1))) | (~be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1))) | (~in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1)))))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(49,plain,
% 0.19/0.45 (![X1: $i] : ((~member(U!3, X1, Z!4)) | (~((~frontseat(U!3, tptp_fun_X3_9(X1))) | (~state(U!3, tptp_fun_X2_10(X1))) | (~be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1))) | (~in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1)))))) <=> ![X1: $i] : ((~member(U!3, X1, Z!4)) | (~((~frontseat(U!3, tptp_fun_X3_9(X1))) | (~state(U!3, tptp_fun_X2_10(X1))) | (~be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1))) | (~in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1))))))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[48])).
% 0.19/0.45 tff(50,plain,
% 0.19/0.45 (^[X1: $i] : rewrite(((~member(U!3, X1, Z!4)) | (frontseat(U!3, tptp_fun_X3_9(X1)) & state(U!3, tptp_fun_X2_10(X1)) & be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1)) & in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1)))) <=> ((~member(U!3, X1, Z!4)) | (~((~frontseat(U!3, tptp_fun_X3_9(X1))) | (~state(U!3, tptp_fun_X2_10(X1))) | (~be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1))) | (~in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1)))))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(51,plain,
% 0.19/0.45 (![X1: $i] : ((~member(U!3, X1, Z!4)) | (frontseat(U!3, tptp_fun_X3_9(X1)) & state(U!3, tptp_fun_X2_10(X1)) & be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1)) & in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1)))) <=> ![X1: $i] : ((~member(U!3, X1, Z!4)) | (~((~frontseat(U!3, tptp_fun_X3_9(X1))) | (~state(U!3, tptp_fun_X2_10(X1))) | (~be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1))) | (~in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1))))))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[50])).
% 0.19/0.45 tff(52,plain,
% 0.19/0.45 (![X1: $i] : ((~member(U!3, X1, Z!4)) | (frontseat(U!3, tptp_fun_X3_9(X1)) & state(U!3, tptp_fun_X2_10(X1)) & be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1)) & in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1))))),
% 0.19/0.45 inference(and_elim,[status(thm)],[41])).
% 0.19/0.45 tff(53,plain,
% 0.19/0.45 (![X1: $i] : ((~member(U!3, X1, Z!4)) | (~((~frontseat(U!3, tptp_fun_X3_9(X1))) | (~state(U!3, tptp_fun_X2_10(X1))) | (~be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1))) | (~in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1))))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.19/0.45 tff(54,plain,
% 0.19/0.45 (![X1: $i] : ((~member(U!3, X1, Z!4)) | (~((~frontseat(U!3, tptp_fun_X3_9(X1))) | (~state(U!3, tptp_fun_X2_10(X1))) | (~be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1))) | (~in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1))))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[53, 49])).
% 0.19/0.45 tff(55,plain,
% 0.19/0.45 (((~![X1: $i] : ((~member(U!3, X1, Z!4)) | (~((~frontseat(U!3, tptp_fun_X3_9(X1))) | (~state(U!3, tptp_fun_X2_10(X1))) | (~be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1))) | (~in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1))))))) | ((~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~((~frontseat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (~state(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)))) | (~be(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X_1(Z!4, U!3), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (~in(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))))))) <=> ((~![X1: $i] : ((~member(U!3, X1, Z!4)) | (~((~frontseat(U!3, tptp_fun_X3_9(X1))) | (~state(U!3, tptp_fun_X2_10(X1))) | (~be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1))) | (~in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1))))))) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~((~frontseat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (~state(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)))) | (~be(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X_1(Z!4, U!3), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (~in(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))))))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(56,plain,
% 0.19/0.45 ((~![X1: $i] : ((~member(U!3, X1, Z!4)) | (~((~frontseat(U!3, tptp_fun_X3_9(X1))) | (~state(U!3, tptp_fun_X2_10(X1))) | (~be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1))) | (~in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1))))))) | ((~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~((~frontseat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (~state(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)))) | (~be(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X_1(Z!4, U!3), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (~in(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))))))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(57,plain,
% 0.19/0.45 ((~![X1: $i] : ((~member(U!3, X1, Z!4)) | (~((~frontseat(U!3, tptp_fun_X3_9(X1))) | (~state(U!3, tptp_fun_X2_10(X1))) | (~be(U!3, tptp_fun_X2_10(X1), X1, tptp_fun_X3_9(X1))) | (~in(U!3, tptp_fun_X3_9(X1), tptp_fun_X3_9(X1))))))) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~((~frontseat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (~state(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)))) | (~be(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X_1(Z!4, U!3), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (~in(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.19/0.45 tff(58,plain,
% 0.19/0.45 (~((~frontseat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (~state(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)))) | (~be(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X_1(Z!4, U!3), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (~in(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[57, 54, 47])).
% 0.19/0.45 tff(59,plain,
% 0.19/0.45 (((~frontseat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (~state(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)))) | (~be(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X_1(Z!4, U!3), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (~in(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))) | be(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X_1(Z!4, U!3), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(60,plain,
% 0.19/0.45 (be(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X_1(Z!4, U!3), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[59, 58])).
% 0.19/0.45 tff(61,plain,
% 0.19/0.45 (^[U: $i, V: $i, W: $i, X: $i] : refl(((~be(U, V, W, X)) | (W = X)) <=> ((~be(U, V, W, X)) | (W = X)))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(62,plain,
% 0.19/0.45 (![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X)) <=> ![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[61])).
% 0.19/0.45 tff(63,plain,
% 0.19/0.45 (![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X)) <=> ![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(64,plain,
% 0.19/0.45 (^[U: $i, V: $i, W: $i, X: $i] : rewrite((be(U, V, W, X) => (W = X)) <=> ((~be(U, V, W, X)) | (W = X)))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(65,plain,
% 0.19/0.45 (![U: $i, V: $i, W: $i, X: $i] : (be(U, V, W, X) => (W = X)) <=> ![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[64])).
% 0.19/0.45 tff(66,axiom,(![U: $i, V: $i, W: $i, X: $i] : (be(U, V, W, X) => (W = X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax59')).
% 0.19/0.45 tff(67,plain,
% 0.19/0.45 (![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.19/0.45 tff(68,plain,
% 0.19/0.45 (![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[67, 63])).
% 0.19/0.45 tff(69,plain,(
% 0.19/0.45 ![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))),
% 0.19/0.45 inference(skolemize,[status(sab)],[68])).
% 0.19/0.45 tff(70,plain,
% 0.19/0.45 (![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[69, 62])).
% 0.19/0.45 tff(71,plain,
% 0.19/0.45 (((~![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))) | ((~be(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X_1(Z!4, U!3), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (tptp_fun_X_1(Z!4, U!3) = tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))) <=> ((~![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))) | (~be(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X_1(Z!4, U!3), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (tptp_fun_X_1(Z!4, U!3) = tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(72,plain,
% 0.19/0.45 ((~![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))) | ((~be(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X_1(Z!4, U!3), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (tptp_fun_X_1(Z!4, U!3) = tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(73,plain,
% 0.19/0.45 ((~![U: $i, V: $i, W: $i, X: $i] : ((~be(U, V, W, X)) | (W = X))) | (~be(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X_1(Z!4, U!3), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (tptp_fun_X_1(Z!4, U!3) = tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.19/0.45 tff(74,plain,
% 0.19/0.45 (tptp_fun_X_1(Z!4, U!3) = tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[73, 70, 60])).
% 0.19/0.45 tff(75,plain,
% 0.19/0.45 (tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)) = tptp_fun_X_1(Z!4, U!3)),
% 0.19/0.45 inference(symmetry,[status(thm)],[74])).
% 0.19/0.45 tff(76,plain,
% 0.19/0.45 (man(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))) <=> man(U!3, tptp_fun_X_1(Z!4, U!3))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[75])).
% 0.19/0.45 tff(77,plain,
% 0.19/0.45 (man(U!3, tptp_fun_X_1(Z!4, U!3)) <=> man(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.45 inference(symmetry,[status(thm)],[76])).
% 0.19/0.45 tff(78,plain,
% 0.19/0.45 (^[X4: $i] : refl(((~member(U!3, X4, Z!4)) | (~((~fellow(U!3, X4)) | (~young(U!3, X4))))) <=> ((~member(U!3, X4, Z!4)) | (~((~fellow(U!3, X4)) | (~young(U!3, X4))))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(79,plain,
% 0.19/0.45 (![X4: $i] : ((~member(U!3, X4, Z!4)) | (~((~fellow(U!3, X4)) | (~young(U!3, X4))))) <=> ![X4: $i] : ((~member(U!3, X4, Z!4)) | (~((~fellow(U!3, X4)) | (~young(U!3, X4)))))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[78])).
% 0.19/0.45 tff(80,plain,
% 0.19/0.45 (^[X4: $i] : rewrite(((~member(U!3, X4, Z!4)) | (fellow(U!3, X4) & young(U!3, X4))) <=> ((~member(U!3, X4, Z!4)) | (~((~fellow(U!3, X4)) | (~young(U!3, X4))))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(81,plain,
% 0.19/0.45 (![X4: $i] : ((~member(U!3, X4, Z!4)) | (fellow(U!3, X4) & young(U!3, X4))) <=> ![X4: $i] : ((~member(U!3, X4, Z!4)) | (~((~fellow(U!3, X4)) | (~young(U!3, X4)))))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[80])).
% 0.19/0.45 tff(82,plain,
% 0.19/0.45 (![X4: $i] : ((~member(U!3, X4, Z!4)) | (fellow(U!3, X4) & young(U!3, X4)))),
% 0.19/0.45 inference(and_elim,[status(thm)],[41])).
% 0.19/0.45 tff(83,plain,
% 0.19/0.45 (![X4: $i] : ((~member(U!3, X4, Z!4)) | (~((~fellow(U!3, X4)) | (~young(U!3, X4)))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.19/0.45 tff(84,plain,
% 0.19/0.45 (![X4: $i] : ((~member(U!3, X4, Z!4)) | (~((~fellow(U!3, X4)) | (~young(U!3, X4)))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[83, 79])).
% 0.19/0.45 tff(85,plain,
% 0.19/0.45 (((~![X4: $i] : ((~member(U!3, X4, Z!4)) | (~((~fellow(U!3, X4)) | (~young(U!3, X4)))))) | ((~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~((~fellow(U!3, tptp_fun_X_1(Z!4, U!3))) | (~young(U!3, tptp_fun_X_1(Z!4, U!3))))))) <=> ((~![X4: $i] : ((~member(U!3, X4, Z!4)) | (~((~fellow(U!3, X4)) | (~young(U!3, X4)))))) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~((~fellow(U!3, tptp_fun_X_1(Z!4, U!3))) | (~young(U!3, tptp_fun_X_1(Z!4, U!3))))))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(86,plain,
% 0.19/0.46 ((~![X4: $i] : ((~member(U!3, X4, Z!4)) | (~((~fellow(U!3, X4)) | (~young(U!3, X4)))))) | ((~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~((~fellow(U!3, tptp_fun_X_1(Z!4, U!3))) | (~young(U!3, tptp_fun_X_1(Z!4, U!3))))))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(87,plain,
% 0.19/0.46 ((~![X4: $i] : ((~member(U!3, X4, Z!4)) | (~((~fellow(U!3, X4)) | (~young(U!3, X4)))))) | (~member(U!3, tptp_fun_X_1(Z!4, U!3), Z!4)) | (~((~fellow(U!3, tptp_fun_X_1(Z!4, U!3))) | (~young(U!3, tptp_fun_X_1(Z!4, U!3)))))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.19/0.46 tff(88,plain,
% 0.19/0.46 (~((~fellow(U!3, tptp_fun_X_1(Z!4, U!3))) | (~young(U!3, tptp_fun_X_1(Z!4, U!3))))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[87, 84, 47])).
% 0.19/0.46 tff(89,plain,
% 0.19/0.46 (((~fellow(U!3, tptp_fun_X_1(Z!4, U!3))) | (~young(U!3, tptp_fun_X_1(Z!4, U!3)))) | fellow(U!3, tptp_fun_X_1(Z!4, U!3))),
% 0.19/0.46 inference(tautology,[status(thm)],[])).
% 0.19/0.46 tff(90,plain,
% 0.19/0.46 (fellow(U!3, tptp_fun_X_1(Z!4, U!3))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[89, 88])).
% 0.19/0.46 tff(91,plain,
% 0.19/0.46 (^[U: $i, V: $i] : refl(((~fellow(U, V)) | man(U, V)) <=> ((~fellow(U, V)) | man(U, V)))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(92,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~fellow(U, V)) | man(U, V)) <=> ![U: $i, V: $i] : ((~fellow(U, V)) | man(U, V))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[91])).
% 0.19/0.46 tff(93,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~fellow(U, V)) | man(U, V)) <=> ![U: $i, V: $i] : ((~fellow(U, V)) | man(U, V))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(94,plain,
% 0.19/0.46 (^[U: $i, V: $i] : rewrite((fellow(U, V) => man(U, V)) <=> ((~fellow(U, V)) | man(U, V)))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(95,plain,
% 0.19/0.46 (![U: $i, V: $i] : (fellow(U, V) => man(U, V)) <=> ![U: $i, V: $i] : ((~fellow(U, V)) | man(U, V))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[94])).
% 0.19/0.46 tff(96,axiom,(![U: $i, V: $i] : (fellow(U, V) => man(U, V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax49')).
% 0.19/0.46 tff(97,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~fellow(U, V)) | man(U, V))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.19/0.46 tff(98,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~fellow(U, V)) | man(U, V))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[97, 93])).
% 0.19/0.46 tff(99,plain,(
% 0.19/0.46 ![U: $i, V: $i] : ((~fellow(U, V)) | man(U, V))),
% 0.19/0.46 inference(skolemize,[status(sab)],[98])).
% 0.19/0.46 tff(100,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~fellow(U, V)) | man(U, V))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[99, 92])).
% 0.19/0.46 tff(101,plain,
% 0.19/0.46 (((~![U: $i, V: $i] : ((~fellow(U, V)) | man(U, V))) | ((~fellow(U!3, tptp_fun_X_1(Z!4, U!3))) | man(U!3, tptp_fun_X_1(Z!4, U!3)))) <=> ((~![U: $i, V: $i] : ((~fellow(U, V)) | man(U, V))) | (~fellow(U!3, tptp_fun_X_1(Z!4, U!3))) | man(U!3, tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(102,plain,
% 0.19/0.46 ((~![U: $i, V: $i] : ((~fellow(U, V)) | man(U, V))) | ((~fellow(U!3, tptp_fun_X_1(Z!4, U!3))) | man(U!3, tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(103,plain,
% 0.19/0.46 ((~![U: $i, V: $i] : ((~fellow(U, V)) | man(U, V))) | (~fellow(U!3, tptp_fun_X_1(Z!4, U!3))) | man(U!3, tptp_fun_X_1(Z!4, U!3))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.19/0.46 tff(104,plain,
% 0.19/0.46 (man(U!3, tptp_fun_X_1(Z!4, U!3))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[103, 100, 90])).
% 0.19/0.46 tff(105,plain,
% 0.19/0.46 (man(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[104, 77])).
% 0.19/0.46 tff(106,plain,
% 0.19/0.46 (^[U: $i, V: $i] : refl(((~man(U, V)) | male(U, V)) <=> ((~man(U, V)) | male(U, V)))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(107,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~man(U, V)) | male(U, V)) <=> ![U: $i, V: $i] : ((~man(U, V)) | male(U, V))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[106])).
% 0.19/0.46 tff(108,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~man(U, V)) | male(U, V)) <=> ![U: $i, V: $i] : ((~man(U, V)) | male(U, V))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(109,plain,
% 0.19/0.46 (^[U: $i, V: $i] : rewrite((man(U, V) => male(U, V)) <=> ((~man(U, V)) | male(U, V)))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(110,plain,
% 0.19/0.46 (![U: $i, V: $i] : (man(U, V) => male(U, V)) <=> ![U: $i, V: $i] : ((~man(U, V)) | male(U, V))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[109])).
% 0.19/0.46 tff(111,axiom,(![U: $i, V: $i] : (man(U, V) => male(U, V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax37')).
% 0.19/0.46 tff(112,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~man(U, V)) | male(U, V))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[111, 110])).
% 0.19/0.46 tff(113,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~man(U, V)) | male(U, V))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[112, 108])).
% 0.19/0.46 tff(114,plain,(
% 0.19/0.46 ![U: $i, V: $i] : ((~man(U, V)) | male(U, V))),
% 0.19/0.46 inference(skolemize,[status(sab)],[113])).
% 0.19/0.46 tff(115,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~man(U, V)) | male(U, V))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[114, 107])).
% 0.19/0.46 tff(116,plain,
% 0.19/0.46 (((~![U: $i, V: $i] : ((~man(U, V)) | male(U, V))) | ((~man(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | male(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))) <=> ((~![U: $i, V: $i] : ((~man(U, V)) | male(U, V))) | (~man(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | male(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(117,plain,
% 0.19/0.46 ((~![U: $i, V: $i] : ((~man(U, V)) | male(U, V))) | ((~man(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | male(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(118,plain,
% 0.19/0.46 ((~![U: $i, V: $i] : ((~man(U, V)) | male(U, V))) | (~man(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | male(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.19/0.46 tff(119,plain,
% 0.19/0.46 ((~man(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | male(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[118, 115])).
% 0.19/0.46 tff(120,plain,
% 0.19/0.46 (male(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[119, 105])).
% 0.19/0.46 tff(121,plain,
% 0.19/0.46 (^[U: $i, V: $i] : refl(((~male(U, V)) | (~unisex(U, V))) <=> ((~male(U, V)) | (~unisex(U, V))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(122,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V))) <=> ![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[121])).
% 0.19/0.46 tff(123,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V))) <=> ![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(124,plain,
% 0.19/0.46 (^[U: $i, V: $i] : rewrite((unisex(U, V) => (~male(U, V))) <=> ((~male(U, V)) | (~unisex(U, V))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(125,plain,
% 0.19/0.46 (![U: $i, V: $i] : (unisex(U, V) => (~male(U, V))) <=> ![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[124])).
% 0.19/0.46 tff(126,axiom,(![U: $i, V: $i] : (unisex(U, V) => (~male(U, V)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax56')).
% 0.19/0.46 tff(127,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[126, 125])).
% 0.19/0.46 tff(128,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[127, 123])).
% 0.19/0.46 tff(129,plain,(
% 0.19/0.46 ![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))),
% 0.19/0.46 inference(skolemize,[status(sab)],[128])).
% 0.19/0.46 tff(130,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[129, 122])).
% 0.19/0.46 tff(131,plain,
% 0.19/0.46 (((~![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))) | ((~male(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (~unisex(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))))) <=> ((~![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))) | (~male(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (~unisex(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(132,plain,
% 0.19/0.46 ((~![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))) | ((~male(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (~unisex(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(133,plain,
% 0.19/0.46 ((~![U: $i, V: $i] : ((~male(U, V)) | (~unisex(U, V)))) | (~male(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (~unisex(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.19/0.46 tff(134,plain,
% 0.19/0.46 (~unisex(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[133, 130, 120])).
% 0.19/0.46 tff(135,plain,
% 0.19/0.46 (^[U: $i, V: $i] : refl(((~object(U, V)) | unisex(U, V)) <=> ((~object(U, V)) | unisex(U, V)))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(136,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V)) <=> ![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[135])).
% 0.19/0.46 tff(137,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V)) <=> ![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(138,plain,
% 0.19/0.46 (^[U: $i, V: $i] : rewrite((object(U, V) => unisex(U, V)) <=> ((~object(U, V)) | unisex(U, V)))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(139,plain,
% 0.19/0.46 (![U: $i, V: $i] : (object(U, V) => unisex(U, V)) <=> ![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[138])).
% 0.19/0.46 tff(140,axiom,(![U: $i, V: $i] : (object(U, V) => unisex(U, V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax16')).
% 0.19/0.46 tff(141,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.19/0.46 tff(142,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[141, 137])).
% 0.19/0.46 tff(143,plain,(
% 0.19/0.46 ![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))),
% 0.19/0.46 inference(skolemize,[status(sab)],[142])).
% 0.19/0.46 tff(144,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[143, 136])).
% 0.19/0.46 tff(145,plain,
% 0.19/0.46 (((~![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))) | ((~object(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | unisex(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))) <=> ((~![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))) | (~object(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | unisex(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(146,plain,
% 0.19/0.46 ((~![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))) | ((~object(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | unisex(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(147,plain,
% 0.19/0.46 ((~![U: $i, V: $i] : ((~object(U, V)) | unisex(U, V))) | (~object(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | unisex(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[146, 145])).
% 0.19/0.46 tff(148,plain,
% 0.19/0.46 (~object(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[147, 144, 134])).
% 0.19/0.46 tff(149,plain,
% 0.19/0.46 (((~frontseat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (~state(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)))) | (~be(U!3, tptp_fun_X2_10(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X_1(Z!4, U!3), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | (~in(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)), tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))) | frontseat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.46 inference(tautology,[status(thm)],[])).
% 0.19/0.46 tff(150,plain,
% 0.19/0.46 (frontseat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[149, 58])).
% 0.19/0.46 tff(151,plain,
% 0.19/0.46 (^[U: $i, V: $i] : refl(((~frontseat(U, V)) | seat(U, V)) <=> ((~frontseat(U, V)) | seat(U, V)))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(152,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~frontseat(U, V)) | seat(U, V)) <=> ![U: $i, V: $i] : ((~frontseat(U, V)) | seat(U, V))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[151])).
% 0.19/0.46 tff(153,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~frontseat(U, V)) | seat(U, V)) <=> ![U: $i, V: $i] : ((~frontseat(U, V)) | seat(U, V))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(154,plain,
% 0.19/0.46 (^[U: $i, V: $i] : rewrite((frontseat(U, V) => seat(U, V)) <=> ((~frontseat(U, V)) | seat(U, V)))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(155,plain,
% 0.19/0.46 (![U: $i, V: $i] : (frontseat(U, V) => seat(U, V)) <=> ![U: $i, V: $i] : ((~frontseat(U, V)) | seat(U, V))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[154])).
% 0.19/0.46 tff(156,axiom,(![U: $i, V: $i] : (frontseat(U, V) => seat(U, V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax3')).
% 0.19/0.46 tff(157,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~frontseat(U, V)) | seat(U, V))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[156, 155])).
% 0.19/0.46 tff(158,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~frontseat(U, V)) | seat(U, V))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[157, 153])).
% 0.19/0.46 tff(159,plain,(
% 0.19/0.46 ![U: $i, V: $i] : ((~frontseat(U, V)) | seat(U, V))),
% 0.19/0.46 inference(skolemize,[status(sab)],[158])).
% 0.19/0.46 tff(160,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~frontseat(U, V)) | seat(U, V))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[159, 152])).
% 0.19/0.46 tff(161,plain,
% 0.19/0.46 (((~![U: $i, V: $i] : ((~frontseat(U, V)) | seat(U, V))) | ((~frontseat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | seat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))) <=> ((~![U: $i, V: $i] : ((~frontseat(U, V)) | seat(U, V))) | (~frontseat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | seat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(162,plain,
% 0.19/0.46 ((~![U: $i, V: $i] : ((~frontseat(U, V)) | seat(U, V))) | ((~frontseat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | seat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(163,plain,
% 0.19/0.46 ((~![U: $i, V: $i] : ((~frontseat(U, V)) | seat(U, V))) | (~frontseat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | seat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[162, 161])).
% 0.19/0.46 tff(164,plain,
% 0.19/0.46 (seat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[163, 160, 150])).
% 0.19/0.46 tff(165,plain,
% 0.19/0.46 (^[U: $i, V: $i] : refl(((~seat(U, V)) | furniture(U, V)) <=> ((~seat(U, V)) | furniture(U, V)))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(166,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~seat(U, V)) | furniture(U, V)) <=> ![U: $i, V: $i] : ((~seat(U, V)) | furniture(U, V))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[165])).
% 0.19/0.46 tff(167,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~seat(U, V)) | furniture(U, V)) <=> ![U: $i, V: $i] : ((~seat(U, V)) | furniture(U, V))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(168,plain,
% 0.19/0.46 (^[U: $i, V: $i] : rewrite((seat(U, V) => furniture(U, V)) <=> ((~seat(U, V)) | furniture(U, V)))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(169,plain,
% 0.19/0.46 (![U: $i, V: $i] : (seat(U, V) => furniture(U, V)) <=> ![U: $i, V: $i] : ((~seat(U, V)) | furniture(U, V))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[168])).
% 0.19/0.46 tff(170,axiom,(![U: $i, V: $i] : (seat(U, V) => furniture(U, V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax2')).
% 0.19/0.46 tff(171,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~seat(U, V)) | furniture(U, V))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[170, 169])).
% 0.19/0.46 tff(172,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~seat(U, V)) | furniture(U, V))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[171, 167])).
% 0.19/0.46 tff(173,plain,(
% 0.19/0.46 ![U: $i, V: $i] : ((~seat(U, V)) | furniture(U, V))),
% 0.19/0.46 inference(skolemize,[status(sab)],[172])).
% 0.19/0.46 tff(174,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~seat(U, V)) | furniture(U, V))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[173, 166])).
% 0.19/0.46 tff(175,plain,
% 0.19/0.46 (((~![U: $i, V: $i] : ((~seat(U, V)) | furniture(U, V))) | ((~seat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | furniture(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))) <=> ((~![U: $i, V: $i] : ((~seat(U, V)) | furniture(U, V))) | (~seat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | furniture(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(176,plain,
% 0.19/0.46 ((~![U: $i, V: $i] : ((~seat(U, V)) | furniture(U, V))) | ((~seat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | furniture(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(177,plain,
% 0.19/0.46 ((~![U: $i, V: $i] : ((~seat(U, V)) | furniture(U, V))) | (~seat(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | furniture(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[176, 175])).
% 0.19/0.46 tff(178,plain,
% 0.19/0.46 (furniture(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[177, 174, 164])).
% 0.19/0.46 tff(179,plain,
% 0.19/0.46 (^[U: $i, V: $i] : refl(((~furniture(U, V)) | instrumentality(U, V)) <=> ((~furniture(U, V)) | instrumentality(U, V)))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(180,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~furniture(U, V)) | instrumentality(U, V)) <=> ![U: $i, V: $i] : ((~furniture(U, V)) | instrumentality(U, V))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[179])).
% 0.19/0.46 tff(181,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~furniture(U, V)) | instrumentality(U, V)) <=> ![U: $i, V: $i] : ((~furniture(U, V)) | instrumentality(U, V))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(182,plain,
% 0.19/0.46 (^[U: $i, V: $i] : rewrite((furniture(U, V) => instrumentality(U, V)) <=> ((~furniture(U, V)) | instrumentality(U, V)))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(183,plain,
% 0.19/0.46 (![U: $i, V: $i] : (furniture(U, V) => instrumentality(U, V)) <=> ![U: $i, V: $i] : ((~furniture(U, V)) | instrumentality(U, V))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[182])).
% 0.19/0.46 tff(184,axiom,(![U: $i, V: $i] : (furniture(U, V) => instrumentality(U, V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax1')).
% 0.19/0.46 tff(185,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~furniture(U, V)) | instrumentality(U, V))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[184, 183])).
% 0.19/0.46 tff(186,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~furniture(U, V)) | instrumentality(U, V))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[185, 181])).
% 0.19/0.46 tff(187,plain,(
% 0.19/0.46 ![U: $i, V: $i] : ((~furniture(U, V)) | instrumentality(U, V))),
% 0.19/0.46 inference(skolemize,[status(sab)],[186])).
% 0.19/0.46 tff(188,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~furniture(U, V)) | instrumentality(U, V))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[187, 180])).
% 0.19/0.46 tff(189,plain,
% 0.19/0.46 (((~![U: $i, V: $i] : ((~furniture(U, V)) | instrumentality(U, V))) | ((~furniture(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | instrumentality(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))) <=> ((~![U: $i, V: $i] : ((~furniture(U, V)) | instrumentality(U, V))) | (~furniture(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | instrumentality(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(190,plain,
% 0.19/0.46 ((~![U: $i, V: $i] : ((~furniture(U, V)) | instrumentality(U, V))) | ((~furniture(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | instrumentality(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(191,plain,
% 0.19/0.46 ((~![U: $i, V: $i] : ((~furniture(U, V)) | instrumentality(U, V))) | (~furniture(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | instrumentality(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[190, 189])).
% 0.19/0.46 tff(192,plain,
% 0.19/0.46 (instrumentality(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[191, 188, 178])).
% 0.19/0.46 tff(193,plain,
% 0.19/0.46 (^[U: $i, V: $i] : refl(((~instrumentality(U, V)) | artifact(U, V)) <=> ((~instrumentality(U, V)) | artifact(U, V)))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(194,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V)) <=> ![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[193])).
% 0.19/0.46 tff(195,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V)) <=> ![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(196,plain,
% 0.19/0.46 (^[U: $i, V: $i] : rewrite((instrumentality(U, V) => artifact(U, V)) <=> ((~instrumentality(U, V)) | artifact(U, V)))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(197,plain,
% 0.19/0.46 (![U: $i, V: $i] : (instrumentality(U, V) => artifact(U, V)) <=> ![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[196])).
% 0.19/0.46 tff(198,axiom,(![U: $i, V: $i] : (instrumentality(U, V) => artifact(U, V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax21')).
% 0.19/0.46 tff(199,plain,
% 0.19/0.46 (![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[198, 197])).
% 0.19/0.47 tff(200,plain,
% 0.19/0.47 (![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[199, 195])).
% 0.19/0.47 tff(201,plain,(
% 0.19/0.47 ![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))),
% 0.19/0.47 inference(skolemize,[status(sab)],[200])).
% 0.19/0.47 tff(202,plain,
% 0.19/0.47 (![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[201, 194])).
% 0.19/0.47 tff(203,plain,
% 0.19/0.47 (((~![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))) | ((~instrumentality(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | artifact(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))) <=> ((~![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))) | (~instrumentality(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | artifact(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(204,plain,
% 0.19/0.47 ((~![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))) | ((~instrumentality(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | artifact(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(205,plain,
% 0.19/0.47 ((~![U: $i, V: $i] : ((~instrumentality(U, V)) | artifact(U, V))) | (~instrumentality(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | artifact(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[204, 203])).
% 0.19/0.47 tff(206,plain,
% 0.19/0.47 (artifact(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[205, 202, 192])).
% 0.19/0.47 tff(207,plain,
% 0.19/0.47 (^[U: $i, V: $i] : refl(((~artifact(U, V)) | object(U, V)) <=> ((~artifact(U, V)) | object(U, V)))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(208,plain,
% 0.19/0.47 (![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V)) <=> ![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[207])).
% 0.19/0.47 tff(209,plain,
% 0.19/0.47 (![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V)) <=> ![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(210,plain,
% 0.19/0.47 (^[U: $i, V: $i] : rewrite((artifact(U, V) => object(U, V)) <=> ((~artifact(U, V)) | object(U, V)))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(211,plain,
% 0.19/0.47 (![U: $i, V: $i] : (artifact(U, V) => object(U, V)) <=> ![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[210])).
% 0.19/0.47 tff(212,axiom,(![U: $i, V: $i] : (artifact(U, V) => object(U, V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax20')).
% 0.19/0.47 tff(213,plain,
% 0.19/0.47 (![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[212, 211])).
% 0.19/0.47 tff(214,plain,
% 0.19/0.47 (![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[213, 209])).
% 0.19/0.47 tff(215,plain,(
% 0.19/0.47 ![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))),
% 0.19/0.47 inference(skolemize,[status(sab)],[214])).
% 0.19/0.47 tff(216,plain,
% 0.19/0.47 (![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[215, 208])).
% 0.19/0.47 tff(217,plain,
% 0.19/0.47 (((~![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))) | ((~artifact(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | object(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))) <=> ((~![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))) | (~artifact(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | object(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(218,plain,
% 0.19/0.47 ((~![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))) | ((~artifact(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | object(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3))))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(219,plain,
% 0.19/0.47 ((~![U: $i, V: $i] : ((~artifact(U, V)) | object(U, V))) | (~artifact(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))) | object(U!3, tptp_fun_X3_9(tptp_fun_X_1(Z!4, U!3)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[218, 217])).
% 0.19/0.47 tff(220,plain,
% 0.19/0.47 ($false),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[219, 216, 206, 148])).
% 0.19/0.47 % SZS output end Proof
%------------------------------------------------------------------------------