%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN082+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 : Sat Jun 21 05:38:12 AM UTC 2025
% Result : Theorem 0.11s 0.36s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SYN082+1 : TPTP v9.0.0. Released v2.0.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 20 12:27:23 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.36 % SZS status Theorem
% 0.11/0.36 % SZS output start Proof
% 0.11/0.36 tff(big_f_type, type, (
% 0.11/0.36 big_f: ( $i * $i ) > $o)).
% 0.11/0.36 tff(f_type, type, (
% 0.11/0.36 f: $i > $i)).
% 0.11/0.36 tff(tptp_fun_X_0_type, type, (
% 0.11/0.36 tptp_fun_X_0: $i)).
% 0.11/0.36 tff(tptp_fun_Y_1_type, type, (
% 0.11/0.36 tptp_fun_Y_1: $i)).
% 0.11/0.36 tff(tptp_fun_Z_2_type, type, (
% 0.11/0.36 tptp_fun_Z_2: $i > $i)).
% 0.11/0.36 tff(1,assumption,(big_f(X!0, f(X!0))), introduced(assumption)).
% 0.11/0.36 tff(2,plain,
% 0.11/0.36 (((~big_f(X!0, f(X!0))) | ![Y: $i] : ((~((~big_f(tptp_fun_Z_2(Y), Y)) | big_f(tptp_fun_Z_2(Y), f(X!0)))) | (~big_f(X!0, Y)))) <=> ((~big_f(X!0, f(X!0))) | ![Y: $i] : ((~((~big_f(tptp_fun_Z_2(Y), Y)) | big_f(tptp_fun_Z_2(Y), f(X!0)))) | (~big_f(X!0, Y))))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(3,plain,
% 0.11/0.36 (((~big_f(X!0, f(X!0))) | ![Y: $i] : ((~((~big_f(tptp_fun_Z_2(Y), Y)) | big_f(tptp_fun_Z_2(Y), f(X!0)))) | (~big_f(X!0, Y)))) <=> ((~big_f(X!0, f(X!0))) | ![Y: $i] : ((~((~big_f(tptp_fun_Z_2(Y), Y)) | big_f(tptp_fun_Z_2(Y), f(X!0)))) | (~big_f(X!0, Y))))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(4,plain,
% 0.11/0.36 ((![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0))) & big_f(X!0, Y!1)) <=> (![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0))) & big_f(X!0, Y!1))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(5,plain,
% 0.11/0.36 ((big_f(X!0, f(X!0)) | (![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0))) & big_f(X!0, Y!1))) <=> (big_f(X!0, f(X!0)) | (![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0))) & big_f(X!0, Y!1)))),
% 0.11/0.36 inference(monotonicity,[status(thm)],[4])).
% 0.11/0.36 tff(6,plain,
% 0.11/0.36 (((big_f(X!0, f(X!0)) | (![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0))) & big_f(X!0, Y!1))) & ((~big_f(X!0, f(X!0))) | ![Y: $i] : ((~((~big_f(tptp_fun_Z_2(Y), Y)) | big_f(tptp_fun_Z_2(Y), f(X!0)))) | (~big_f(X!0, Y))))) <=> ((big_f(X!0, f(X!0)) | (![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0))) & big_f(X!0, Y!1))) & ((~big_f(X!0, f(X!0))) | ![Y: $i] : ((~((~big_f(tptp_fun_Z_2(Y), Y)) | big_f(tptp_fun_Z_2(Y), f(X!0)))) | (~big_f(X!0, Y)))))),
% 0.11/0.36 inference(monotonicity,[status(thm)],[5, 3])).
% 0.11/0.36 tff(7,plain,
% 0.11/0.36 ((~![X: $i] : (big_f(X, f(X)) <=> ?[Y: $i] : (![Z: $i] : ((~big_f(Z, Y)) | big_f(Z, f(X))) & big_f(X, Y)))) <=> (~![X: $i] : (big_f(X, f(X)) <=> ?[Y: $i] : (![Z: $i] : ((~big_f(Z, Y)) | big_f(Z, f(X))) & big_f(X, Y))))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(8,plain,
% 0.11/0.36 ((~![X: $i] : (big_f(X, f(X)) <=> ?[Y: $i] : (![Z: $i] : (big_f(Z, Y) => big_f(Z, f(X))) & big_f(X, Y)))) <=> (~![X: $i] : (big_f(X, f(X)) <=> ?[Y: $i] : (![Z: $i] : ((~big_f(Z, Y)) | big_f(Z, f(X))) & big_f(X, Y))))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(9,axiom,(~![X: $i] : (big_f(X, f(X)) <=> ?[Y: $i] : (![Z: $i] : (big_f(Z, Y) => big_f(Z, f(X))) & big_f(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pel60')).
% 0.11/0.36 tff(10,plain,
% 0.11/0.36 (~![X: $i] : (big_f(X, f(X)) <=> ?[Y: $i] : (![Z: $i] : ((~big_f(Z, Y)) | big_f(Z, f(X))) & big_f(X, Y)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.11/0.36 tff(11,plain,
% 0.11/0.36 (~![X: $i] : (big_f(X, f(X)) <=> ?[Y: $i] : (![Z: $i] : ((~big_f(Z, Y)) | big_f(Z, f(X))) & big_f(X, Y)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[10, 7])).
% 0.11/0.36 tff(12,plain,
% 0.11/0.36 (~![X: $i] : (big_f(X, f(X)) <=> ?[Y: $i] : (![Z: $i] : ((~big_f(Z, Y)) | big_f(Z, f(X))) & big_f(X, Y)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[11, 7])).
% 0.11/0.36 tff(13,plain,
% 0.11/0.36 (~![X: $i] : (big_f(X, f(X)) <=> ?[Y: $i] : (![Z: $i] : ((~big_f(Z, Y)) | big_f(Z, f(X))) & big_f(X, Y)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[12, 7])).
% 0.11/0.36 tff(14,plain,
% 0.11/0.36 ((big_f(X!0, f(X!0)) | (![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0))) & big_f(X!0, Y!1))) & ((~big_f(X!0, f(X!0))) | ![Y: $i] : ((~((~big_f(tptp_fun_Z_2(Y), Y)) | big_f(tptp_fun_Z_2(Y), f(X!0)))) | (~big_f(X!0, Y))))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[13, 6])).
% 0.11/0.36 tff(15,plain,
% 0.11/0.36 ((~big_f(X!0, f(X!0))) | ![Y: $i] : ((~((~big_f(tptp_fun_Z_2(Y), Y)) | big_f(tptp_fun_Z_2(Y), f(X!0)))) | (~big_f(X!0, Y)))),
% 0.11/0.36 inference(and_elim,[status(thm)],[14])).
% 0.11/0.36 tff(16,plain,
% 0.11/0.36 ((~big_f(X!0, f(X!0))) | ![Y: $i] : ((~((~big_f(tptp_fun_Z_2(Y), Y)) | big_f(tptp_fun_Z_2(Y), f(X!0)))) | (~big_f(X!0, Y)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[15, 2])).
% 0.11/0.36 tff(17,plain,
% 0.11/0.36 (![Y: $i] : ((~((~big_f(tptp_fun_Z_2(Y), Y)) | big_f(tptp_fun_Z_2(Y), f(X!0)))) | (~big_f(X!0, Y)))),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[16, 1])).
% 0.11/0.36 tff(18,plain,
% 0.11/0.36 (((~![Y: $i] : ((~((~big_f(tptp_fun_Z_2(Y), Y)) | big_f(tptp_fun_Z_2(Y), f(X!0)))) | (~big_f(X!0, Y)))) | (~big_f(X!0, f(X!0)))) <=> ((~![Y: $i] : ((~((~big_f(tptp_fun_Z_2(Y), Y)) | big_f(tptp_fun_Z_2(Y), f(X!0)))) | (~big_f(X!0, Y)))) | (~big_f(X!0, f(X!0))))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(19,plain,
% 0.11/0.36 (($false | (~big_f(X!0, f(X!0)))) <=> (~big_f(X!0, f(X!0)))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(20,plain,
% 0.11/0.36 ((~$true) <=> $false),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(21,plain,
% 0.11/0.36 (((~big_f(tptp_fun_Z_2(f(X!0)), f(X!0))) | big_f(tptp_fun_Z_2(f(X!0)), f(X!0))) <=> $true),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(22,plain,
% 0.11/0.36 ((~((~big_f(tptp_fun_Z_2(f(X!0)), f(X!0))) | big_f(tptp_fun_Z_2(f(X!0)), f(X!0)))) <=> (~$true)),
% 0.11/0.36 inference(monotonicity,[status(thm)],[21])).
% 0.11/0.36 tff(23,plain,
% 0.11/0.36 ((~((~big_f(tptp_fun_Z_2(f(X!0)), f(X!0))) | big_f(tptp_fun_Z_2(f(X!0)), f(X!0)))) <=> $false),
% 0.11/0.36 inference(transitivity,[status(thm)],[22, 20])).
% 0.11/0.36 tff(24,plain,
% 0.11/0.36 (((~((~big_f(tptp_fun_Z_2(f(X!0)), f(X!0))) | big_f(tptp_fun_Z_2(f(X!0)), f(X!0)))) | (~big_f(X!0, f(X!0)))) <=> ($false | (~big_f(X!0, f(X!0))))),
% 0.11/0.36 inference(monotonicity,[status(thm)],[23])).
% 0.11/0.36 tff(25,plain,
% 0.11/0.36 (((~((~big_f(tptp_fun_Z_2(f(X!0)), f(X!0))) | big_f(tptp_fun_Z_2(f(X!0)), f(X!0)))) | (~big_f(X!0, f(X!0)))) <=> (~big_f(X!0, f(X!0)))),
% 0.11/0.36 inference(transitivity,[status(thm)],[24, 19])).
% 0.11/0.36 tff(26,plain,
% 0.11/0.36 (((~![Y: $i] : ((~((~big_f(tptp_fun_Z_2(Y), Y)) | big_f(tptp_fun_Z_2(Y), f(X!0)))) | (~big_f(X!0, Y)))) | ((~((~big_f(tptp_fun_Z_2(f(X!0)), f(X!0))) | big_f(tptp_fun_Z_2(f(X!0)), f(X!0)))) | (~big_f(X!0, f(X!0))))) <=> ((~![Y: $i] : ((~((~big_f(tptp_fun_Z_2(Y), Y)) | big_f(tptp_fun_Z_2(Y), f(X!0)))) | (~big_f(X!0, Y)))) | (~big_f(X!0, f(X!0))))),
% 0.11/0.36 inference(monotonicity,[status(thm)],[25])).
% 0.11/0.36 tff(27,plain,
% 0.11/0.36 (((~![Y: $i] : ((~((~big_f(tptp_fun_Z_2(Y), Y)) | big_f(tptp_fun_Z_2(Y), f(X!0)))) | (~big_f(X!0, Y)))) | ((~((~big_f(tptp_fun_Z_2(f(X!0)), f(X!0))) | big_f(tptp_fun_Z_2(f(X!0)), f(X!0)))) | (~big_f(X!0, f(X!0))))) <=> ((~![Y: $i] : ((~((~big_f(tptp_fun_Z_2(Y), Y)) | big_f(tptp_fun_Z_2(Y), f(X!0)))) | (~big_f(X!0, Y)))) | (~big_f(X!0, f(X!0))))),
% 0.11/0.36 inference(transitivity,[status(thm)],[26, 18])).
% 0.11/0.36 tff(28,plain,
% 0.11/0.36 ((~![Y: $i] : ((~((~big_f(tptp_fun_Z_2(Y), Y)) | big_f(tptp_fun_Z_2(Y), f(X!0)))) | (~big_f(X!0, Y)))) | ((~((~big_f(tptp_fun_Z_2(f(X!0)), f(X!0))) | big_f(tptp_fun_Z_2(f(X!0)), f(X!0)))) | (~big_f(X!0, f(X!0))))),
% 0.11/0.36 inference(quant_inst,[status(thm)],[])).
% 0.11/0.36 tff(29,plain,
% 0.11/0.36 ((~![Y: $i] : ((~((~big_f(tptp_fun_Z_2(Y), Y)) | big_f(tptp_fun_Z_2(Y), f(X!0)))) | (~big_f(X!0, Y)))) | (~big_f(X!0, f(X!0)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.11/0.36 tff(30,plain,
% 0.11/0.36 ($false),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[29, 1, 17])).
% 0.11/0.36 tff(31,plain,(~big_f(X!0, f(X!0))), inference(lemma,lemma(discharge,[]))).
% 0.11/0.36 tff(32,plain,
% 0.11/0.36 ((big_f(X!0, f(X!0)) | (~((~big_f(X!0, Y!1)) | (~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0))))))) <=> (big_f(X!0, f(X!0)) | (~((~big_f(X!0, Y!1)) | (~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))))))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(33,plain,
% 0.11/0.36 ((~((~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))) | (~big_f(X!0, Y!1)))) <=> (~((~big_f(X!0, Y!1)) | (~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0))))))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(34,plain,
% 0.11/0.36 ((big_f(X!0, f(X!0)) | (~((~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))) | (~big_f(X!0, Y!1))))) <=> (big_f(X!0, f(X!0)) | (~((~big_f(X!0, Y!1)) | (~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))))))),
% 0.11/0.36 inference(monotonicity,[status(thm)],[33])).
% 0.11/0.36 tff(35,plain,
% 0.11/0.36 ((big_f(X!0, f(X!0)) | (~((~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))) | (~big_f(X!0, Y!1))))) <=> (big_f(X!0, f(X!0)) | (~((~big_f(X!0, Y!1)) | (~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))))))),
% 0.11/0.36 inference(transitivity,[status(thm)],[34, 32])).
% 0.11/0.37 tff(36,plain,
% 0.11/0.37 ((big_f(X!0, f(X!0)) | (~((~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))) | (~big_f(X!0, Y!1))))) <=> (big_f(X!0, f(X!0)) | (~((~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))) | (~big_f(X!0, Y!1)))))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(37,plain,
% 0.11/0.37 ((big_f(X!0, f(X!0)) | (~((~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))) | (~big_f(X!0, Y!1))))) <=> (big_f(X!0, f(X!0)) | (~((~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))) | (~big_f(X!0, Y!1)))))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(38,plain,
% 0.11/0.37 ((![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0))) & big_f(X!0, Y!1)) <=> (~((~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))) | (~big_f(X!0, Y!1))))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(39,plain,
% 0.11/0.37 ((big_f(X!0, f(X!0)) | (![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0))) & big_f(X!0, Y!1))) <=> (big_f(X!0, f(X!0)) | (~((~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))) | (~big_f(X!0, Y!1)))))),
% 0.11/0.37 inference(monotonicity,[status(thm)],[38])).
% 0.11/0.37 tff(40,plain,
% 0.11/0.37 ((big_f(X!0, f(X!0)) | (![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0))) & big_f(X!0, Y!1))) <=> (big_f(X!0, f(X!0)) | (~((~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))) | (~big_f(X!0, Y!1)))))),
% 0.11/0.37 inference(transitivity,[status(thm)],[39, 37])).
% 0.11/0.37 tff(41,plain,
% 0.11/0.37 (big_f(X!0, f(X!0)) | (![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0))) & big_f(X!0, Y!1))),
% 0.11/0.37 inference(and_elim,[status(thm)],[14])).
% 0.11/0.37 tff(42,plain,
% 0.11/0.37 (big_f(X!0, f(X!0)) | (~((~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))) | (~big_f(X!0, Y!1))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.11/0.37 tff(43,plain,
% 0.11/0.37 (big_f(X!0, f(X!0)) | (~((~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))) | (~big_f(X!0, Y!1))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[42, 36])).
% 0.11/0.37 tff(44,plain,
% 0.11/0.37 (big_f(X!0, f(X!0)) | (~((~big_f(X!0, Y!1)) | (~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0))))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[43, 35])).
% 0.11/0.37 tff(45,plain,
% 0.11/0.37 (~((~big_f(X!0, Y!1)) | (~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))))),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[44, 31])).
% 0.11/0.37 tff(46,plain,
% 0.11/0.37 (((~big_f(X!0, Y!1)) | (~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0))))) | ![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))),
% 0.11/0.37 inference(tautology,[status(thm)],[])).
% 0.11/0.37 tff(47,plain,
% 0.11/0.37 (![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[46, 45])).
% 0.11/0.37 tff(48,plain,
% 0.11/0.37 (((~big_f(X!0, Y!1)) | (~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0))))) | big_f(X!0, Y!1)),
% 0.11/0.37 inference(tautology,[status(thm)],[])).
% 0.11/0.37 tff(49,plain,
% 0.11/0.37 (big_f(X!0, Y!1)),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[48, 45])).
% 0.11/0.37 tff(50,plain,
% 0.11/0.37 (((~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))) | ((~big_f(X!0, Y!1)) | big_f(X!0, f(X!0)))) <=> ((~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))) | (~big_f(X!0, Y!1)) | big_f(X!0, f(X!0)))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(51,plain,
% 0.11/0.37 ((~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))) | ((~big_f(X!0, Y!1)) | big_f(X!0, f(X!0)))),
% 0.11/0.37 inference(quant_inst,[status(thm)],[])).
% 0.11/0.37 tff(52,plain,
% 0.11/0.37 ((~![Z: $i] : ((~big_f(Z, Y!1)) | big_f(Z, f(X!0)))) | (~big_f(X!0, Y!1)) | big_f(X!0, f(X!0))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.11/0.37 tff(53,plain,
% 0.11/0.37 ($false),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[52, 31, 49, 47])).
% 0.11/0.37 % SZS output end Proof
% 0.11/0.37 % E exiting
%------------------------------------------------------------------------------