%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : NUM838+2 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 05:22:10 AM UTC 2025
% Result : Theorem 0.20s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM838+2 : TPTP v9.0.0. Released v4.1.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n001.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 Jun 20 02:05:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.39 % SZS status Theorem
% 0.20/0.39 % SZS output start Proof
% 0.20/0.39 tff(greater_type, type, (
% 0.20/0.39 greater: ( $i * $i ) > $o)).
% 0.20/0.39 tff(vplus_type, type, (
% 0.20/0.39 vplus: ( $i * $i ) > $i)).
% 0.20/0.39 tff(vd302_type, type, (
% 0.20/0.39 vd302: $i)).
% 0.20/0.39 tff(vd301_type, type, (
% 0.20/0.39 vd301: $i)).
% 0.20/0.39 tff(vd303_type, type, (
% 0.20/0.39 vd303: $i)).
% 0.20/0.39 tff(1,plain,
% 0.20/0.39 (^[Vd310: $i, Vd311: $i, Vd312: $i] : refl(((~greater(Vd311, Vd312)) | greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310))) <=> ((~greater(Vd311, Vd312)) | greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(2,plain,
% 0.20/0.39 (![Vd310: $i, Vd311: $i, Vd312: $i] : ((~greater(Vd311, Vd312)) | greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310))) <=> ![Vd310: $i, Vd311: $i, Vd312: $i] : ((~greater(Vd311, Vd312)) | greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[1])).
% 0.20/0.39 tff(3,plain,
% 0.20/0.39 (![Vd310: $i, Vd311: $i, Vd312: $i] : ((~greater(Vd311, Vd312)) | greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310))) <=> ![Vd310: $i, Vd311: $i, Vd312: $i] : ((~greater(Vd311, Vd312)) | greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(4,plain,
% 0.20/0.39 (^[Vd310: $i, Vd311: $i, Vd312: $i] : rewrite((greater(Vd311, Vd312) => greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310))) <=> ((~greater(Vd311, Vd312)) | greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(5,plain,
% 0.20/0.39 (![Vd310: $i, Vd311: $i, Vd312: $i] : (greater(Vd311, Vd312) => greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310))) <=> ![Vd310: $i, Vd311: $i, Vd312: $i] : ((~greater(Vd311, Vd312)) | greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[4])).
% 0.20/0.39 tff(6,axiom,(![Vd310: $i, Vd311: $i, Vd312: $i] : (greater(Vd311, Vd312) => greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''ass(cond(proof(196), 0), 4)'')).
% 0.20/0.39 tff(7,plain,
% 0.20/0.39 (![Vd310: $i, Vd311: $i, Vd312: $i] : ((~greater(Vd311, Vd312)) | greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.20/0.39 tff(8,plain,
% 0.20/0.39 (![Vd310: $i, Vd311: $i, Vd312: $i] : ((~greater(Vd311, Vd312)) | greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.20/0.39 tff(9,plain,(
% 0.20/0.39 ![Vd310: $i, Vd311: $i, Vd312: $i] : ((~greater(Vd311, Vd312)) | greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310)))),
% 0.20/0.39 inference(skolemize,[status(sab)],[8])).
% 0.20/0.39 tff(10,plain,
% 0.20/0.39 (![Vd310: $i, Vd311: $i, Vd312: $i] : ((~greater(Vd311, Vd312)) | greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.20/0.39 tff(11,plain,
% 0.20/0.39 (greater(vd301, vd302) <=> greater(vd301, vd302)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(12,axiom,(greater(vd301, vd302)), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''holds(antec(195), 304, 0)'')).
% 0.20/0.39 tff(13,plain,
% 0.20/0.39 (greater(vd301, vd302)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.20/0.39 tff(14,plain,
% 0.20/0.39 ((~greater(vplus(vd301, vd303), vplus(vd302, vd303))) <=> (~greater(vplus(vd301, vd303), vplus(vd302, vd303)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(15,axiom,(~greater(vplus(vd301, vd303), vplus(vd302, vd303))), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''holds(conseq(195), 305, 0)'')).
% 0.20/0.39 tff(16,plain,
% 0.20/0.39 (~greater(vplus(vd301, vd303), vplus(vd302, vd303))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.20/0.39 tff(17,plain,
% 0.20/0.39 (((~![Vd310: $i, Vd311: $i, Vd312: $i] : ((~greater(Vd311, Vd312)) | greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310)))) | ((~greater(vd301, vd302)) | greater(vplus(vd301, vd303), vplus(vd302, vd303)))) <=> ((~![Vd310: $i, Vd311: $i, Vd312: $i] : ((~greater(Vd311, Vd312)) | greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310)))) | (~greater(vd301, vd302)) | greater(vplus(vd301, vd303), vplus(vd302, vd303)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(18,plain,
% 0.20/0.39 ((~![Vd310: $i, Vd311: $i, Vd312: $i] : ((~greater(Vd311, Vd312)) | greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310)))) | ((~greater(vd301, vd302)) | greater(vplus(vd301, vd303), vplus(vd302, vd303)))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(19,plain,
% 0.20/0.39 ((~![Vd310: $i, Vd311: $i, Vd312: $i] : ((~greater(Vd311, Vd312)) | greater(vplus(Vd311, Vd310), vplus(Vd312, Vd310)))) | (~greater(vd301, vd302)) | greater(vplus(vd301, vd303), vplus(vd302, vd303))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.20/0.39 tff(20,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[19, 16, 13, 10])).
% 0.20/0.39 % SZS output end Proof
% 0.20/0.39 % E exiting
%------------------------------------------------------------------------------