TSTP Solution File: SWV164+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWV164+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 : Thu May 9 17:44:21 EDT 2024
% Result : Theorem 62.61s 62.83s
% Output : Refutation 62.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV164+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 9 06:29:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 62.61/62.83 % Version: 1.5
% 62.61/62.83 % SZS status Theorem
% 62.61/62.83 % SZS output start CNFRefutation
% 62.61/62.83 fof(irreflexivity_gt,axiom,(![X]:(~gt(X,X))),file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', irreflexivity_gt)).
% 62.61/62.83 fof(c474,plain,(![X]:~gt(X,X)),inference(fof_simplification,[status(thm)],[irreflexivity_gt])).
% 62.61/62.83 fof(c475,plain,(![X176]:~gt(X176,X176)),inference(variable_rename,[status(thm)],[c474])).
% 62.61/62.83 cnf(c476,plain,~gt(X184,X184),inference(split_conjunct,[status(thm)],[c475])).
% 62.61/62.83 fof(leq_succ_gt,axiom,(![X]:(![Y]:(leq(succ(X),Y)=>gt(Y,X)))),file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', leq_succ_gt)).
% 62.61/62.83 fof(c131,plain,(![X]:(![Y]:(~leq(succ(X),Y)|gt(Y,X)))),inference(fof_nnf,[status(thm)],[leq_succ_gt])).
% 62.61/62.83 fof(c132,plain,(![X44]:(![X45]:(~leq(succ(X44),X45)|gt(X45,X44)))),inference(variable_rename,[status(thm)],[c131])).
% 62.61/62.83 cnf(c133,plain,~leq(succ(X398),X399)|gt(X399,X398),inference(split_conjunct,[status(thm)],[c132])).
% 62.61/62.83 fof(cl5_nebula_norm_0014,conjecture,(((leq(n0,pv10)&leq(pv10,n135299))&(![A]:((leq(n0,A)&leq(A,pred(pv10)))=>sum(n0,n4,a_select3(q,A,tptp_sum_index))=n1)))=>(![B]:((leq(n0,B)&leq(B,tptp_minus_1))=>a_select3(q,pv10,B)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,B)),minus(a_select2(x,pv10),a_select2(mu,B))),tptp_minus_2),times(a_select2(sigma,B),a_select2(sigma,B)))),a_select2(rho,B)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,B))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', cl5_nebula_norm_0014)).
% 62.61/62.83 fof(c85,negated_conjecture,(~(((leq(n0,pv10)&leq(pv10,n135299))&(![A]:((leq(n0,A)&leq(A,pred(pv10)))=>sum(n0,n4,a_select3(q,A,tptp_sum_index))=n1)))=>(![B]:((leq(n0,B)&leq(B,tptp_minus_1))=>a_select3(q,pv10,B)=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,B)),minus(a_select2(x,pv10),a_select2(mu,B))),tptp_minus_2),times(a_select2(sigma,B),a_select2(sigma,B)))),a_select2(rho,B)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,B))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))))))),inference(assume_negation,[status(cth)],[cl5_nebula_norm_0014])).
% 62.61/62.83 fof(c86,negated_conjecture,(((leq(n0,pv10)&leq(pv10,n135299))&(![A]:((~leq(n0,A)|~leq(A,pred(pv10)))|sum(n0,n4,a_select3(q,A,tptp_sum_index))=n1)))&(?[B]:((leq(n0,B)&leq(B,tptp_minus_1))&a_select3(q,pv10,B)!=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,B)),minus(a_select2(x,pv10),a_select2(mu,B))),tptp_minus_2),times(a_select2(sigma,B),a_select2(sigma,B)))),a_select2(rho,B)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,B))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))))),inference(fof_nnf,[status(thm)],[c85])).
% 62.61/62.83 fof(c87,negated_conjecture,(((leq(n0,pv10)&leq(pv10,n135299))&(![X8]:((~leq(n0,X8)|~leq(X8,pred(pv10)))|sum(n0,n4,a_select3(q,X8,tptp_sum_index))=n1)))&(?[X9]:((leq(n0,X9)&leq(X9,tptp_minus_1))&a_select3(q,pv10,X9)!=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,X9)),minus(a_select2(x,pv10),a_select2(mu,X9))),tptp_minus_2),times(a_select2(sigma,X9),a_select2(sigma,X9)))),a_select2(rho,X9)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,X9))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))))),inference(variable_rename,[status(thm)],[c86])).
% 62.61/62.83 fof(c89,negated_conjecture,(![X8]:(((leq(n0,pv10)&leq(pv10,n135299))&((~leq(n0,X8)|~leq(X8,pred(pv10)))|sum(n0,n4,a_select3(q,X8,tptp_sum_index))=n1))&((leq(n0,skolem0001)&leq(skolem0001,tptp_minus_1))&a_select3(q,pv10,skolem0001)!=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolem0001)),minus(a_select2(x,pv10),a_select2(mu,skolem0001))),tptp_minus_2),times(a_select2(sigma,skolem0001),a_select2(sigma,skolem0001)))),a_select2(rho,skolem0001)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolem0001))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))))),inference(shift_quantors,[status(thm)],[fof(c88,negated_conjecture,(((leq(n0,pv10)&leq(pv10,n135299))&(![X8]:((~leq(n0,X8)|~leq(X8,pred(pv10)))|sum(n0,n4,a_select3(q,X8,tptp_sum_index))=n1)))&((leq(n0,skolem0001)&leq(skolem0001,tptp_minus_1))&a_select3(q,pv10,skolem0001)!=divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolem0001)),minus(a_select2(x,pv10),a_select2(mu,skolem0001))),tptp_minus_2),times(a_select2(sigma,skolem0001),a_select2(sigma,skolem0001)))),a_select2(rho,skolem0001)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolem0001))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))))),inference(skolemize,[status(esa)],[c87])).])).
% 62.61/62.83 cnf(c94,negated_conjecture,leq(skolem0001,tptp_minus_1),inference(split_conjunct,[status(thm)],[c89])).
% 62.61/62.83 fof(transitivity_leq,axiom,(![X]:(![Y]:(![Z]:((leq(X,Y)&leq(Y,Z))=>leq(X,Z))))),file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', transitivity_leq)).
% 62.61/62.83 fof(c469,plain,(![X]:(![Y]:(![Z]:((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))))),inference(fof_nnf,[status(thm)],[transitivity_leq])).
% 62.61/62.83 fof(c470,plain,(![X172]:(![X173]:(![X174]:((~leq(X172,X173)|~leq(X173,X174))|leq(X172,X174))))),inference(variable_rename,[status(thm)],[c469])).
% 62.61/62.83 cnf(c471,plain,~leq(X2165,X2167)|~leq(X2167,X2166)|leq(X2165,X2166),inference(split_conjunct,[status(thm)],[c470])).
% 62.61/62.83 cnf(c41994,plain,~leq(X2486,skolem0001)|leq(X2486,tptp_minus_1),inference(resolution,[status(thm)],[c471, c94])).
% 62.61/62.83 cnf(c93,negated_conjecture,leq(n0,skolem0001),inference(split_conjunct,[status(thm)],[c89])).
% 62.61/62.83 cnf(c41966,plain,~leq(X2444,n0)|leq(X2444,skolem0001),inference(resolution,[status(thm)],[c471, c93])).
% 62.61/62.83 cnf(symmetry,axiom,X185!=X186|X186=X185,theory(equality)).
% 62.61/62.83 fof(succ_tptp_minus_1,axiom,succ(tptp_minus_1)=n0,file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', succ_tptp_minus_1)).
% 62.61/62.83 cnf(c166,plain,succ(tptp_minus_1)=n0,inference(split_conjunct,[status(thm)],[succ_tptp_minus_1])).
% 62.61/62.83 cnf(c534,plain,n0=succ(tptp_minus_1),inference(resolution,[status(thm)],[c166, symmetry])).
% 62.61/62.83 cnf(reflexivity,axiom,X182=X182,theory(equality)).
% 62.61/62.83 fof(reflexivity_leq,axiom,(![X]:leq(X,X)),file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', reflexivity_leq)).
% 62.61/62.83 fof(c472,plain,(![X175]:leq(X175,X175)),inference(variable_rename,[status(thm)],[reflexivity_leq])).
% 62.61/62.83 cnf(c473,plain,leq(X183,X183),inference(split_conjunct,[status(thm)],[c472])).
% 62.61/62.83 cnf(c23,axiom,X299!=X296|X297!=X298|~leq(X299,X297)|leq(X296,X298),theory(equality)).
% 62.61/62.83 cnf(c815,plain,X2944!=X2946|X2944!=X2945|leq(X2946,X2945),inference(resolution,[status(thm)],[c23, c473])).
% 62.61/62.83 cnf(c64999,plain,X2952!=X2951|leq(X2951,X2952),inference(resolution,[status(thm)],[c815, reflexivity])).
% 62.61/62.83 cnf(c65067,plain,leq(succ(tptp_minus_1),n0),inference(resolution,[status(thm)],[c64999, c534])).
% 62.61/62.83 cnf(c65564,plain,leq(succ(tptp_minus_1),skolem0001),inference(resolution,[status(thm)],[c65067, c41966])).
% 62.61/62.83 cnf(c66415,plain,leq(succ(tptp_minus_1),tptp_minus_1),inference(resolution,[status(thm)],[c65564, c41994])).
% 62.61/62.83 cnf(c67680,plain,gt(tptp_minus_1,tptp_minus_1),inference(resolution,[status(thm)],[c66415, c133])).
% 62.61/62.83 cnf(c67778,plain,$false,inference(resolution,[status(thm)],[c67680, c476])).
% 62.61/62.83 % SZS output end CNFRefutation
% 62.61/62.83
% 62.61/62.83 % Initial clauses : 337
% 62.61/62.83 % Processed clauses : 1750
% 62.61/62.83 % Factors computed : 447
% 62.61/62.83 % Resolvents computed: 66850
% 62.61/62.83 % Tautologies deleted: 5
% 62.61/62.83 % Forward subsumed : 1199
% 62.61/62.83 % Backward subsumed : 0
% 62.61/62.83 % -------- CPU Time ---------
% 62.61/62.83 % User time : 62.139 s
% 62.61/62.83 % System time : 0.311 s
% 62.61/62.83 % Total time : 62.450 s
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