TSTP Solution File: SWV163+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWV163+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n010.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  : 600s
% DateTime : Wed Jul 20 21:16:01 EDT 2022

% Result   : Theorem 42.21s 42.41s
% Output   : Refutation 42.21s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV163+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n010.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  : 600
% 0.13/0.34  % DateTime : Tue Jun 14 18:30:09 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 42.21/42.41  # Version:  1.3
% 42.21/42.41  # SZS status Theorem
% 42.21/42.41  # SZS output start CNFRefutation
% 42.21/42.41  fof(irreflexivity_gt,axiom,(![X]:(~gt(X,X))),input).
% 42.21/42.41  fof(c465,axiom,(![X]:~gt(X,X)),inference(fof_simplification,status(thm),[irreflexivity_gt])).
% 42.21/42.41  fof(c466,axiom,(![X176]:~gt(X176,X176)),inference(variable_rename,status(thm),[c465])).
% 42.21/42.41  cnf(c467,axiom,~gt(X184,X184),inference(split_conjunct,status(thm),[c466])).
% 42.21/42.41  fof(leq_succ_gt,axiom,(![X]:(![Y]:(leq(succ(X),Y)=>gt(Y,X)))),input).
% 42.21/42.41  fof(c122,axiom,(![X]:(![Y]:(~leq(succ(X),Y)|gt(Y,X)))),inference(fof_nnf,status(thm),[leq_succ_gt])).
% 42.21/42.41  fof(c123,axiom,(![X44]:(![X45]:(~leq(succ(X44),X45)|gt(X45,X44)))),inference(variable_rename,status(thm),[c122])).
% 42.21/42.41  cnf(c124,axiom,~leq(succ(X349),X348)|gt(X348,X349),inference(split_conjunct,status(thm),[c123])).
% 42.21/42.41  fof(cl5_nebula_norm_0013,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(sqrt(times(minus(a_select3(center,B,n0),a_select2(x,pv10)),minus(a_select3(center,B,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))))),input).
% 42.21/42.41  fof(c76,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(sqrt(times(minus(a_select3(center,B,n0),a_select2(x,pv10)),minus(a_select3(center,B,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))))))),inference(assume_negation,status(cth),[cl5_nebula_norm_0013])).
% 42.21/42.41  fof(c77,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(sqrt(times(minus(a_select3(center,B,n0),a_select2(x,pv10)),minus(a_select3(center,B,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))))),inference(fof_nnf,status(thm),[c76])).
% 42.21/42.41  fof(c78,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(sqrt(times(minus(a_select3(center,X9,n0),a_select2(x,pv10)),minus(a_select3(center,X9,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))))),inference(variable_rename,status(thm),[c77])).
% 42.21/42.41  fof(c80,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(sqrt(times(minus(a_select3(center,skolem0001,n0),a_select2(x,pv10)),minus(a_select3(center,skolem0001,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))))),inference(shift_quantors,status(thm),[fof(c79,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(sqrt(times(minus(a_select3(center,skolem0001,n0),a_select2(x,pv10)),minus(a_select3(center,skolem0001,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))))),inference(skolemize,status(esa),[c78])).])).
% 42.21/42.41  cnf(c85,negated_conjecture,leq(skolem0001,tptp_minus_1),inference(split_conjunct,status(thm),[c80])).
% 42.21/42.41  fof(transitivity_leq,axiom,(![X]:(![Y]:(![Z]:((leq(X,Y)&leq(Y,Z))=>leq(X,Z))))),input).
% 42.21/42.41  fof(c460,axiom,(![X]:(![Y]:(![Z]:((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))))),inference(fof_nnf,status(thm),[transitivity_leq])).
% 42.21/42.41  fof(c461,axiom,(![X172]:(![X173]:(![X174]:((~leq(X172,X173)|~leq(X173,X174))|leq(X172,X174))))),inference(variable_rename,status(thm),[c460])).
% 42.21/42.41  cnf(c462,axiom,~leq(X2186,X2185)|~leq(X2185,X2184)|leq(X2186,X2184),inference(split_conjunct,status(thm),[c461])).
% 42.21/42.41  cnf(c34704,plain,~leq(X2736,skolem0001)|leq(X2736,tptp_minus_1),inference(resolution,status(thm),[c462, c85])).
% 42.21/42.41  cnf(c84,negated_conjecture,leq(n0,skolem0001),inference(split_conjunct,status(thm),[c80])).
% 42.21/42.41  cnf(c34596,plain,~leq(X2498,n0)|leq(X2498,skolem0001),inference(resolution,status(thm),[c462, c84])).
% 42.21/42.41  cnf(symmetry,axiom,X186!=X185|X185=X186,eq_axiom).
% 42.21/42.41  fof(succ_tptp_minus_1,axiom,succ(tptp_minus_1)=n0,input).
% 42.21/42.41  cnf(c157,axiom,succ(tptp_minus_1)=n0,inference(split_conjunct,status(thm),[succ_tptp_minus_1])).
% 42.21/42.41  cnf(c508,plain,n0=succ(tptp_minus_1),inference(resolution,status(thm),[c157, symmetry])).
% 42.21/42.41  cnf(reflexivity,axiom,X182=X182,eq_axiom).
% 42.21/42.41  fof(reflexivity_leq,axiom,(![X]:leq(X,X)),input).
% 42.21/42.41  fof(c463,axiom,(![X175]:leq(X175,X175)),inference(variable_rename,status(thm),[reflexivity_leq])).
% 42.21/42.41  cnf(c464,axiom,leq(X183,X183),inference(split_conjunct,status(thm),[c463])).
% 42.21/42.41  cnf(c22,plain,X296!=X295|X297!=X294|~leq(X296,X297)|leq(X295,X294),eq_axiom).
% 42.21/42.41  cnf(c724,plain,X2746!=X2747|X2746!=X2745|leq(X2747,X2745),inference(resolution,status(thm),[c22, c464])).
% 42.21/42.41  cnf(c52423,plain,X2753!=X2752|leq(X2752,X2753),inference(resolution,status(thm),[c724, reflexivity])).
% 42.21/42.41  cnf(c53187,plain,leq(succ(tptp_minus_1),n0),inference(resolution,status(thm),[c52423, c508])).
% 42.21/42.41  cnf(c54163,plain,leq(succ(tptp_minus_1),skolem0001),inference(resolution,status(thm),[c53187, c34596])).
% 42.21/42.41  cnf(c55446,plain,leq(succ(tptp_minus_1),tptp_minus_1),inference(resolution,status(thm),[c54163, c34704])).
% 42.21/42.41  cnf(c56167,plain,gt(tptp_minus_1,tptp_minus_1),inference(resolution,status(thm),[c55446, c124])).
% 42.21/42.41  cnf(c56223,plain,$false,inference(resolution,status(thm),[c56167, c467])).
% 42.21/42.41  # SZS output end CNFRefutation
% 42.21/42.41  
% 42.21/42.41  # Initial clauses    : 328
% 42.21/42.41  # Processed clauses  : 1501
% 42.21/42.41  # Factors computed   : 1
% 42.21/42.41  # Resolvents computed: 55755
% 42.21/42.41  # Tautologies deleted: 2
% 42.21/42.41  # Forward subsumed   : 1143
% 42.21/42.41  # Backward subsumed  : 0
% 42.21/42.41  # -------- CPU Time ---------
% 42.21/42.41  # User time          : 41.818 s
% 42.21/42.41  # System time        : 0.238 s
% 42.21/42.41  # Total time         : 42.056 s
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