%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN048-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.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 05:38:02 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN048-1 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 12:27:03 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.37 % SZS status Unsatisfiable
% 0.12/0.37 % SZS output start Proof
% 0.12/0.37 tff(big_f_type, type, (
% 0.12/0.37 big_f: $i > $o)).
% 0.12/0.37 tff(f_type, type, (
% 0.12/0.37 f: $i > $i)).
% 0.12/0.37 tff(elem_0_type, type, (
% 0.12/0.37 elem_0: $i)).
% 0.12/0.37 tff(1,plain,
% 0.12/0.37 (^[X: $i] : refl((~big_f(f(X))) <=> (~big_f(f(X))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(2,plain,
% 0.12/0.37 (![X: $i] : (~big_f(f(X))) <=> ![X: $i] : (~big_f(f(X)))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[1])).
% 0.12/0.37 tff(3,plain,
% 0.12/0.37 (![X: $i] : (~big_f(f(X))) <=> ![X: $i] : (~big_f(f(X)))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(4,axiom,(![X: $i] : (~big_f(f(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_2')).
% 0.12/0.37 tff(5,plain,
% 0.12/0.37 (![X: $i] : (~big_f(f(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.12/0.37 tff(6,plain,(
% 0.12/0.37 ![X: $i] : (~big_f(f(X)))),
% 0.12/0.37 inference(skolemize,[status(sab)],[5])).
% 0.12/0.37 tff(7,plain,
% 0.12/0.37 (![X: $i] : (~big_f(f(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.12/0.37 tff(8,plain,
% 0.12/0.37 ((~![X: $i] : (~big_f(f(X)))) | (~big_f(f(elem!0)))),
% 0.12/0.37 inference(quant_inst,[status(thm)],[])).
% 0.12/0.37 tff(9,plain,
% 0.12/0.37 (~big_f(f(elem!0))),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.12/0.37 tff(10,plain,
% 0.12/0.37 (^[X: $i] : refl(big_f(X) <=> big_f(X))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(11,plain,
% 0.12/0.37 (![X: $i] : big_f(X) <=> ![X: $i] : big_f(X)),
% 0.12/0.37 inference(quant_intro,[status(thm)],[10])).
% 0.12/0.37 tff(12,plain,
% 0.12/0.37 (![X: $i] : big_f(X) <=> ![X: $i] : big_f(X)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(13,axiom,(![X: $i] : big_f(X)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_1')).
% 0.12/0.37 tff(14,plain,
% 0.12/0.37 (![X: $i] : big_f(X)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.12/0.37 tff(15,plain,(
% 0.12/0.37 ![X: $i] : big_f(X)),
% 0.12/0.37 inference(skolemize,[status(sab)],[14])).
% 0.12/0.37 tff(16,plain,
% 0.12/0.37 (![X: $i] : big_f(X)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.12/0.37 tff(17,plain,
% 0.12/0.37 ((~![X: $i] : big_f(X)) | big_f(f(elem!0))),
% 0.12/0.37 inference(quant_inst,[status(thm)],[])).
% 0.12/0.37 tff(18,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[17, 16, 9])).
% 0.12/0.37 % SZS output end Proof
% 0.12/0.37 % E exiting
%------------------------------------------------------------------------------