%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : COM236_1 : TPTP v9.3.0. Released v9.3.0.
% 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 : Tue May 5 06:23:02 PM UTC 2026
% Result : Theorem 0.19s 0.42s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM236_1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.15/0.33 % Computer : n001.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 19:21:05 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 % SZS output start Proof
% 0.19/0.42 tff(vsomeTerm_type, type, (
% 0.19/0.42 vsomeTerm: vTerm > vOptTerm)).
% 0.19/0.42 tff(vPred_type, type, (
% 0.19/0.42 vPred: vTerm > vTerm)).
% 0.19/0.42 tff(vgetTerm_type, type, (
% 0.19/0.42 vgetTerm: vOptTerm > vTerm)).
% 0.19/0.42 tff(vreduce_type, type, (
% 0.19/0.42 vreduce: vTerm > vOptTerm)).
% 0.19/0.42 tff(vSucc_type, type, (
% 0.19/0.42 vSucc: vTerm > vTerm)).
% 0.19/0.42 tff(tptp_fun_Vnv_63_type, type, (
% 0.19/0.42 tptp_fun_Vnv_63: vTerm)).
% 0.19/0.42 tff(vnoTerm_type, type, (
% 0.19/0.42 vnoTerm: vOptTerm)).
% 0.19/0.42 tff(visNV_type, type, (
% 0.19/0.42 visNV: vTerm > $o)).
% 0.19/0.42 tff(visValue_type, type, (
% 0.19/0.42 visValue: vTerm > $o)).
% 0.19/0.42 tff(vt1_type, type, (
% 0.19/0.42 vt1: vTerm)).
% 0.19/0.42 tff(vptchecksimple_type, type, (
% 0.19/0.42 vptchecksimple: ( vTerm * vTy ) > $o)).
% 0.19/0.42 tff(tptp_fun_VT_62_type, type, (
% 0.19/0.42 tptp_fun_VT_62: vTy)).
% 0.19/0.42 tff(vZero_type, type, (
% 0.19/0.42 vZero: vTerm)).
% 0.19/0.42 tff(visSomeTerm_type, type, (
% 0.19/0.42 visSomeTerm: vOptTerm > $o)).
% 0.19/0.42 tff(1,plain,
% 0.19/0.42 ((~![Vnv: vTerm, VT: vTy] : ((~(vreduce(vPred(vt1)) = vnoTerm)) | (~(visSomeTerm(vreduce(vSucc(Vnv))) & (~visNV(Vnv)) & (~(vt1 = vZero)) & (vt1 = vSucc(Vnv)) & vptchecksimple(vPred(vt1), VT) & (~visValue(vPred(vt1))))))) <=> (~![Vnv: vTerm, VT: vTy] : ((~(vreduce(vPred(vt1)) = vnoTerm)) | (~(visSomeTerm(vreduce(vSucc(Vnv))) & (~visNV(Vnv)) & (~(vt1 = vZero)) & (vt1 = vSucc(Vnv)) & vptchecksimple(vPred(vt1), VT) & (~visValue(vPred(vt1)))))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(2,plain,
% 0.19/0.42 ((~![Vnv: vTerm, VT: vTy] : ((((((visSomeTerm(vreduce(vSucc(Vnv))) & (~visNV(Vnv))) & (~(vt1 = vZero))) & (vt1 = vSucc(Vnv))) & vptchecksimple(vPred(vt1), VT)) & (~visValue(vPred(vt1)))) => (~(vreduce(vPred(vt1)) = vnoTerm)))) <=> (~![Vnv: vTerm, VT: vTy] : ((~(vreduce(vPred(vt1)) = vnoTerm)) | (~(visSomeTerm(vreduce(vSucc(Vnv))) & (~visNV(Vnv)) & (~(vt1 = vZero)) & (vt1 = vSucc(Vnv)) & vptchecksimple(vPred(vt1), VT) & (~visValue(vPred(vt1)))))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(3,axiom,(~![Vnv: vTerm, VT: vTy] : ((((((visSomeTerm(vreduce(vSucc(Vnv))) & (~visNV(Vnv))) & (~(vt1 = vZero))) & (vt1 = vSucc(Vnv))) & vptchecksimple(vPred(vt1), VT)) & (~visValue(vPred(vt1)))) => (~(vreduce(vPred(vt1)) = vnoTerm)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''Progress-Pred-Succ-isNV-False-isSomeTerm-True'')).
% 0.19/0.42 tff(4,plain,
% 0.19/0.42 (~![Vnv: vTerm, VT: vTy] : ((~(vreduce(vPred(vt1)) = vnoTerm)) | (~(visSomeTerm(vreduce(vSucc(Vnv))) & (~visNV(Vnv)) & (~(vt1 = vZero)) & (vt1 = vSucc(Vnv)) & vptchecksimple(vPred(vt1), VT) & (~visValue(vPred(vt1))))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.19/0.42 tff(5,plain,
% 0.19/0.42 (~![Vnv: vTerm, VT: vTy] : ((~(vreduce(vPred(vt1)) = vnoTerm)) | (~(visSomeTerm(vreduce(vSucc(Vnv))) & (~visNV(Vnv)) & (~(vt1 = vZero)) & (vt1 = vSucc(Vnv)) & vptchecksimple(vPred(vt1), VT) & (~visValue(vPred(vt1))))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.19/0.42 tff(6,plain,
% 0.19/0.42 (~![Vnv: vTerm, VT: vTy] : ((~(vreduce(vPred(vt1)) = vnoTerm)) | (~(visSomeTerm(vreduce(vSucc(Vnv))) & (~visNV(Vnv)) & (~(vt1 = vZero)) & (vt1 = vSucc(Vnv)) & vptchecksimple(vPred(vt1), VT) & (~visValue(vPred(vt1))))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.19/0.42 tff(7,plain,
% 0.19/0.42 (~![Vnv: vTerm, VT: vTy] : ((~(vreduce(vPred(vt1)) = vnoTerm)) | (~(visSomeTerm(vreduce(vSucc(Vnv))) & (~visNV(Vnv)) & (~(vt1 = vZero)) & (vt1 = vSucc(Vnv)) & vptchecksimple(vPred(vt1), VT) & (~visValue(vPred(vt1))))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.19/0.42 tff(8,plain,(
% 0.19/0.42 ~((~(vreduce(vPred(vt1)) = vnoTerm)) | (~(visSomeTerm(vreduce(vSucc(Vnv!63))) & (~visNV(Vnv!63)) & (~(vt1 = vZero)) & (vt1 = vSucc(Vnv!63)) & vptchecksimple(vPred(vt1), VT!62) & (~visValue(vPred(vt1))))))),
% 0.19/0.42 inference(skolemize,[status(sab)],[7])).
% 0.19/0.42 tff(9,plain,
% 0.19/0.42 (visSomeTerm(vreduce(vSucc(Vnv!63))) & (~visNV(Vnv!63)) & (~(vt1 = vZero)) & (vt1 = vSucc(Vnv!63)) & vptchecksimple(vPred(vt1), VT!62) & (~visValue(vPred(vt1)))),
% 0.19/0.42 inference(or_elim,[status(thm)],[8])).
% 0.19/0.42 tff(10,plain,
% 0.19/0.42 (~visNV(Vnv!63)),
% 0.19/0.42 inference(and_elim,[status(thm)],[9])).
% 0.19/0.42 tff(11,plain,
% 0.19/0.42 (visSomeTerm(vreduce(vSucc(Vnv!63)))),
% 0.19/0.42 inference(and_elim,[status(thm)],[9])).
% 0.19/0.42 tff(12,plain,
% 0.19/0.42 (^[Vnv: vTerm] : refl((visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv)))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv))))))) <=> (visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv)))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv))))))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(13,plain,
% 0.19/0.42 (![Vnv: vTerm] : (visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv)))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv))))))) <=> ![Vnv: vTerm] : (visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv)))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv)))))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[12])).
% 0.19/0.42 tff(14,plain,
% 0.19/0.42 (^[Vnv: vTerm] : trans(monotonicity(trans(monotonicity(rewrite(((~visNV(Vnv)) & visSomeTerm(vreduce(vSucc(Vnv)))) <=> (~(visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv))))))), ((~((~visNV(Vnv)) & visSomeTerm(vreduce(vSucc(Vnv))))) <=> (~(~(visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv))))))))), rewrite((~(~(visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv))))))) <=> (visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv)))))), ((~((~visNV(Vnv)) & visSomeTerm(vreduce(vSucc(Vnv))))) <=> (visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv))))))), (((~((~visNV(Vnv)) & visSomeTerm(vreduce(vSucc(Vnv))))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv))))))) <=> ((visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv))))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv))))))))), rewrite(((visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv))))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv))))))) <=> (visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv)))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv)))))))), (((~((~visNV(Vnv)) & visSomeTerm(vreduce(vSucc(Vnv))))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv))))))) <=> (visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv)))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv)))))))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(15,plain,
% 0.19/0.42 (![Vnv: vTerm] : ((~((~visNV(Vnv)) & visSomeTerm(vreduce(vSucc(Vnv))))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv))))))) <=> ![Vnv: vTerm] : (visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv)))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv)))))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[14])).
% 0.19/0.42 tff(16,plain,
% 0.19/0.42 (![Vnv: vTerm] : ((~((~visNV(Vnv)) & visSomeTerm(vreduce(vSucc(Vnv))))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv))))))) <=> ![Vnv: vTerm] : ((~((~visNV(Vnv)) & visSomeTerm(vreduce(vSucc(Vnv))))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv)))))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(17,plain,
% 0.19/0.42 (^[Vnv: vTerm] : rewrite((((~visNV(Vnv)) & visSomeTerm(vreduce(vSucc(Vnv)))) => (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv))))))) <=> ((~((~visNV(Vnv)) & visSomeTerm(vreduce(vSucc(Vnv))))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv))))))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(18,plain,
% 0.19/0.42 (![Vnv: vTerm] : (((~visNV(Vnv)) & visSomeTerm(vreduce(vSucc(Vnv)))) => (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv))))))) <=> ![Vnv: vTerm] : ((~((~visNV(Vnv)) & visSomeTerm(vreduce(vSucc(Vnv))))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv)))))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[17])).
% 0.19/0.42 tff(19,axiom,(![Vnv: vTerm] : (((~visNV(Vnv)) & visSomeTerm(vreduce(vSucc(Vnv)))) => (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''reduce-8'')).
% 0.19/0.42 tff(20,plain,
% 0.19/0.42 (![Vnv: vTerm] : ((~((~visNV(Vnv)) & visSomeTerm(vreduce(vSucc(Vnv))))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv)))))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.19/0.42 tff(21,plain,
% 0.19/0.42 (![Vnv: vTerm] : ((~((~visNV(Vnv)) & visSomeTerm(vreduce(vSucc(Vnv))))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv)))))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.19/0.43 tff(22,plain,(
% 0.19/0.43 ![Vnv: vTerm] : ((~((~visNV(Vnv)) & visSomeTerm(vreduce(vSucc(Vnv))))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv)))))))),
% 0.19/0.43 inference(skolemize,[status(sab)],[21])).
% 0.19/0.43 tff(23,plain,
% 0.19/0.43 (![Vnv: vTerm] : (visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv)))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv)))))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[22, 15])).
% 0.19/0.43 tff(24,plain,
% 0.19/0.43 (![Vnv: vTerm] : (visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv)))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv)))))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[23, 13])).
% 0.19/0.43 tff(25,plain,
% 0.19/0.43 (((~![Vnv: vTerm] : (visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv)))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv)))))))) | (visNV(Vnv!63) | (~visSomeTerm(vreduce(vSucc(Vnv!63)))) | (vreduce(vPred(vSucc(Vnv!63))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv!63)))))))) <=> ((~![Vnv: vTerm] : (visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv)))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv)))))))) | visNV(Vnv!63) | (~visSomeTerm(vreduce(vSucc(Vnv!63)))) | (vreduce(vPred(vSucc(Vnv!63))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv!63)))))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(26,plain,
% 0.19/0.43 ((~![Vnv: vTerm] : (visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv)))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv)))))))) | (visNV(Vnv!63) | (~visSomeTerm(vreduce(vSucc(Vnv!63)))) | (vreduce(vPred(vSucc(Vnv!63))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv!63)))))))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(27,plain,
% 0.19/0.43 ((~![Vnv: vTerm] : (visNV(Vnv) | (~visSomeTerm(vreduce(vSucc(Vnv)))) | (vreduce(vPred(vSucc(Vnv))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv)))))))) | visNV(Vnv!63) | (~visSomeTerm(vreduce(vSucc(Vnv!63)))) | (vreduce(vPred(vSucc(Vnv!63))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv!63))))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.19/0.43 tff(28,plain,
% 0.19/0.43 (vreduce(vPred(vSucc(Vnv!63))) = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv!63)))))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[27, 24, 11, 10])).
% 0.19/0.43 tff(29,plain,
% 0.19/0.43 (vt1 = vSucc(Vnv!63)),
% 0.19/0.43 inference(and_elim,[status(thm)],[9])).
% 0.19/0.43 tff(30,plain,
% 0.19/0.43 (vSucc(Vnv!63) = vt1),
% 0.19/0.43 inference(symmetry,[status(thm)],[29])).
% 0.19/0.43 tff(31,plain,
% 0.19/0.43 (vPred(vSucc(Vnv!63)) = vPred(vt1)),
% 0.19/0.43 inference(monotonicity,[status(thm)],[30])).
% 0.19/0.43 tff(32,plain,
% 0.19/0.43 (vreduce(vPred(vSucc(Vnv!63))) = vreduce(vPred(vt1))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[31])).
% 0.19/0.43 tff(33,plain,
% 0.19/0.43 (vreduce(vPred(vt1)) = vreduce(vPred(vSucc(Vnv!63)))),
% 0.19/0.43 inference(symmetry,[status(thm)],[32])).
% 0.19/0.43 tff(34,plain,
% 0.19/0.43 (vreduce(vPred(vt1)) = vnoTerm),
% 0.19/0.43 inference(or_elim,[status(thm)],[8])).
% 0.19/0.43 tff(35,plain,
% 0.19/0.43 (vnoTerm = vreduce(vPred(vt1))),
% 0.19/0.43 inference(symmetry,[status(thm)],[34])).
% 0.19/0.43 tff(36,plain,
% 0.19/0.43 (vnoTerm = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv!63)))))),
% 0.19/0.43 inference(transitivity,[status(thm)],[35, 33, 28])).
% 0.19/0.43 tff(37,plain,
% 0.19/0.43 (^[VTerm0: vTerm] : refl((~(vnoTerm = vsomeTerm(VTerm0))) <=> (~(vnoTerm = vsomeTerm(VTerm0))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(38,plain,
% 0.19/0.43 (![VTerm0: vTerm] : (~(vnoTerm = vsomeTerm(VTerm0))) <=> ![VTerm0: vTerm] : (~(vnoTerm = vsomeTerm(VTerm0)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[37])).
% 0.19/0.43 tff(39,plain,
% 0.19/0.43 (![VTerm0: vTerm] : (~(vnoTerm = vsomeTerm(VTerm0))) <=> ![VTerm0: vTerm] : (~(vnoTerm = vsomeTerm(VTerm0)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(40,axiom,(![VTerm0: vTerm] : (~(vnoTerm = vsomeTerm(VTerm0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''DIFF-noTerm-someTerm'')).
% 0.19/0.43 tff(41,plain,
% 0.19/0.43 (![VTerm0: vTerm] : (~(vnoTerm = vsomeTerm(VTerm0)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.19/0.43 tff(42,plain,(
% 0.19/0.43 ![VTerm0: vTerm] : (~(vnoTerm = vsomeTerm(VTerm0)))),
% 0.19/0.43 inference(skolemize,[status(sab)],[41])).
% 0.19/0.43 tff(43,plain,
% 0.19/0.43 (![VTerm0: vTerm] : (~(vnoTerm = vsomeTerm(VTerm0)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[42, 38])).
% 0.19/0.43 tff(44,plain,
% 0.19/0.43 ((~![VTerm0: vTerm] : (~(vnoTerm = vsomeTerm(VTerm0)))) | (~(vnoTerm = vsomeTerm(vPred(vgetTerm(vreduce(vSucc(Vnv!63)))))))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(45,plain,
% 0.19/0.43 ($false),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[44, 43, 36])).
% 0.19/0.43 % SZS output end Proof
% 0.19/0.44 % E exiting
%------------------------------------------------------------------------------