TSTP Solution File: COM007+2 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : COM007+2 : TPTP v8.1.2. Released v3.2.0.
% 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 : 300s
% DateTime : Thu May 9 17:17:41 EDT 2024
% Result : Theorem 0.18s 0.57s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COM007+2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n010.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 : Thu May 9 07:09:23 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.57 % Version: 1.5
% 0.18/0.57 % SZS status Theorem
% 0.18/0.57 % SZS output start CNFRefutation
% 0.18/0.57 fof(goal_to_be_proved,conjecture,goal,file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goal_to_be_proved)).
% 0.18/0.57 fof(c2,negated_conjecture,(~goal),inference(assume_negation,[status(cth)],[goal_to_be_proved])).
% 0.18/0.57 fof(c3,negated_conjecture,~goal,inference(fof_simplification,[status(thm)],[c2])).
% 0.18/0.57 cnf(c4,negated_conjecture,~goal,inference(split_conjunct,[status(thm)],[c3])).
% 0.18/0.57 fof(goal_ax,axiom,(![A]:((reflexive_rewrite(b,A)&reflexive_rewrite(c,A))=>goal)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goal_ax)).
% 0.18/0.57 fof(c20,plain,(![A]:((~reflexive_rewrite(b,A)|~reflexive_rewrite(c,A))|goal)),inference(fof_nnf,[status(thm)],[goal_ax])).
% 0.18/0.57 fof(c21,plain,((![A]:(~reflexive_rewrite(b,A)|~reflexive_rewrite(c,A)))|goal),inference(shift_quantors,[status(thm)],[c20])).
% 0.18/0.57 fof(c23,plain,(![X12]:((~reflexive_rewrite(b,X12)|~reflexive_rewrite(c,X12))|goal)),inference(shift_quantors,[status(thm)],[fof(c22,plain,((![X12]:(~reflexive_rewrite(b,X12)|~reflexive_rewrite(c,X12)))|goal),inference(variable_rename,[status(thm)],[c21])).])).
% 0.18/0.57 cnf(c24,plain,~reflexive_rewrite(b,X35)|~reflexive_rewrite(c,X35)|goal,inference(split_conjunct,[status(thm)],[c23])).
% 0.18/0.57 fof(rewrite_in_reflexive_rewrite,axiom,(![A]:(![B]:(rewrite(A,B)=>reflexive_rewrite(A,B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rewrite_in_reflexive_rewrite)).
% 0.18/0.57 fof(c14,plain,(![A]:(![B]:(~rewrite(A,B)|reflexive_rewrite(A,B)))),inference(fof_nnf,[status(thm)],[rewrite_in_reflexive_rewrite])).
% 0.18/0.57 fof(c15,plain,(![X8]:(![X9]:(~rewrite(X8,X9)|reflexive_rewrite(X8,X9)))),inference(variable_rename,[status(thm)],[c14])).
% 0.18/0.57 cnf(c16,plain,~rewrite(X20,X21)|reflexive_rewrite(X20,X21),inference(split_conjunct,[status(thm)],[c15])).
% 0.18/0.57 cnf(reflexivity,axiom,X13=X13,theory(equality)).
% 0.18/0.57 fof(equal_in_reflexive_rewrite,axiom,(![A]:(![B]:(A=B=>reflexive_rewrite(A,B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', equal_in_reflexive_rewrite)).
% 0.18/0.57 fof(c17,plain,(![A]:(![B]:(A!=B|reflexive_rewrite(A,B)))),inference(fof_nnf,[status(thm)],[equal_in_reflexive_rewrite])).
% 0.18/0.57 fof(c18,plain,(![X10]:(![X11]:(X10!=X11|reflexive_rewrite(X10,X11)))),inference(variable_rename,[status(thm)],[c17])).
% 0.18/0.57 cnf(c19,plain,X22!=X23|reflexive_rewrite(X22,X23),inference(split_conjunct,[status(thm)],[c18])).
% 0.18/0.57 cnf(c30,plain,reflexive_rewrite(X24,X24),inference(resolution,[status(thm)],[c19, reflexivity])).
% 0.18/0.57 fof(assumption,axiom,(reflexive_rewrite(a,b)&reflexive_rewrite(a,c)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', assumption)).
% 0.18/0.57 cnf(c26,plain,reflexive_rewrite(a,c),inference(split_conjunct,[status(thm)],[assumption])).
% 0.18/0.57 fof(equal_or_rewrite,axiom,(![A]:(![B]:(reflexive_rewrite(A,B)=>(A=B|rewrite(A,B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', equal_or_rewrite)).
% 0.18/0.57 fof(c11,plain,(![A]:(![B]:(~reflexive_rewrite(A,B)|(A=B|rewrite(A,B))))),inference(fof_nnf,[status(thm)],[equal_or_rewrite])).
% 0.18/0.57 fof(c12,plain,(![X6]:(![X7]:(~reflexive_rewrite(X6,X7)|(X6=X7|rewrite(X6,X7))))),inference(variable_rename,[status(thm)],[c11])).
% 0.18/0.57 cnf(c13,plain,~reflexive_rewrite(X33,X32)|X33=X32|rewrite(X33,X32),inference(split_conjunct,[status(thm)],[c12])).
% 0.18/0.57 cnf(c35,plain,a=c|rewrite(a,c),inference(resolution,[status(thm)],[c13, c26])).
% 0.18/0.57 cnf(c25,plain,reflexive_rewrite(a,b),inference(split_conjunct,[status(thm)],[assumption])).
% 0.18/0.57 cnf(c0,axiom,X28!=X29|X27!=X26|~reflexive_rewrite(X28,X27)|reflexive_rewrite(X29,X26),theory(equality)).
% 0.18/0.57 cnf(c31,plain,a!=X56|b!=X57|reflexive_rewrite(X56,X57),inference(resolution,[status(thm)],[c0, c25])).
% 0.18/0.57 cnf(c99,plain,a!=X58|reflexive_rewrite(X58,b),inference(resolution,[status(thm)],[c31, reflexivity])).
% 0.18/0.57 cnf(c100,plain,reflexive_rewrite(c,b)|rewrite(a,c),inference(resolution,[status(thm)],[c99, c35])).
% 0.18/0.57 cnf(c111,plain,rewrite(a,c)|~reflexive_rewrite(b,b)|goal,inference(resolution,[status(thm)],[c100, c24])).
% 0.18/0.57 cnf(c152,plain,rewrite(a,c)|goal,inference(resolution,[status(thm)],[c111, c30])).
% 0.18/0.57 cnf(c159,plain,rewrite(a,c),inference(resolution,[status(thm)],[c152, c4])).
% 0.18/0.57 fof(rewrite_diamond,axiom,(![A]:(![B]:(![C]:((rewrite(A,B)&rewrite(A,C))=>(?[D]:(rewrite(B,D)&rewrite(C,D))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rewrite_diamond)).
% 0.18/0.57 fof(c5,plain,(![A]:(![B]:(![C]:((~rewrite(A,B)|~rewrite(A,C))|(?[D]:(rewrite(B,D)&rewrite(C,D))))))),inference(fof_nnf,[status(thm)],[rewrite_diamond])).
% 0.18/0.57 fof(c6,plain,(![X2]:(![X3]:(![X4]:((~rewrite(X2,X3)|~rewrite(X2,X4))|(?[X5]:(rewrite(X3,X5)&rewrite(X4,X5))))))),inference(variable_rename,[status(thm)],[c5])).
% 0.18/0.57 fof(c7,plain,(![X2]:(![X3]:(![X4]:((~rewrite(X2,X3)|~rewrite(X2,X4))|(rewrite(X3,skolem0001(X2,X3,X4))&rewrite(X4,skolem0001(X2,X3,X4))))))),inference(skolemize,[status(esa)],[c6])).
% 0.18/0.57 fof(c8,plain,(![X2]:(![X3]:(![X4]:(((~rewrite(X2,X3)|~rewrite(X2,X4))|rewrite(X3,skolem0001(X2,X3,X4)))&((~rewrite(X2,X3)|~rewrite(X2,X4))|rewrite(X4,skolem0001(X2,X3,X4))))))),inference(distribute,[status(thm)],[c7])).
% 0.18/0.57 cnf(c9,plain,~rewrite(X50,X48)|~rewrite(X50,X49)|rewrite(X48,skolem0001(X50,X48,X49)),inference(split_conjunct,[status(thm)],[c8])).
% 0.18/0.57 cnf(c37,plain,~reflexive_rewrite(b,c)|goal,inference(resolution,[status(thm)],[c24, c30])).
% 0.18/0.57 cnf(c34,plain,a=b|rewrite(a,b),inference(resolution,[status(thm)],[c13, c25])).
% 0.18/0.57 cnf(c32,plain,a!=X59|c!=X60|reflexive_rewrite(X59,X60),inference(resolution,[status(thm)],[c0, c26])).
% 0.18/0.57 cnf(c104,plain,a!=X61|reflexive_rewrite(X61,c),inference(resolution,[status(thm)],[c32, reflexivity])).
% 0.18/0.57 cnf(c107,plain,reflexive_rewrite(b,c)|rewrite(a,b),inference(resolution,[status(thm)],[c104, c34])).
% 0.18/0.57 cnf(c121,plain,rewrite(a,b)|goal,inference(resolution,[status(thm)],[c107, c37])).
% 0.18/0.57 cnf(c132,plain,rewrite(a,b),inference(resolution,[status(thm)],[c121, c4])).
% 0.18/0.57 cnf(c137,plain,~rewrite(a,X80)|rewrite(X80,skolem0001(a,X80,b)),inference(resolution,[status(thm)],[c132, c9])).
% 0.18/0.57 cnf(c182,plain,rewrite(c,skolem0001(a,c,b)),inference(resolution,[status(thm)],[c137, c159])).
% 0.18/0.57 cnf(c183,plain,reflexive_rewrite(c,skolem0001(a,c,b)),inference(resolution,[status(thm)],[c182, c16])).
% 0.18/0.57 cnf(c190,plain,~reflexive_rewrite(b,skolem0001(a,c,b))|goal,inference(resolution,[status(thm)],[c183, c24])).
% 0.18/0.57 cnf(c10,plain,~rewrite(X53,X51)|~rewrite(X53,X52)|rewrite(X52,skolem0001(X53,X51,X52)),inference(split_conjunct,[status(thm)],[c8])).
% 0.18/0.57 cnf(c139,plain,~rewrite(a,X96)|rewrite(b,skolem0001(a,X96,b)),inference(resolution,[status(thm)],[c132, c10])).
% 0.18/0.57 cnf(c201,plain,rewrite(b,skolem0001(a,c,b)),inference(resolution,[status(thm)],[c139, c159])).
% 0.18/0.57 cnf(c202,plain,reflexive_rewrite(b,skolem0001(a,c,b)),inference(resolution,[status(thm)],[c201, c16])).
% 0.18/0.57 cnf(c208,plain,goal,inference(resolution,[status(thm)],[c202, c190])).
% 0.18/0.57 cnf(c210,plain,$false,inference(resolution,[status(thm)],[c208, c4])).
% 0.18/0.57 % SZS output end CNFRefutation
% 0.18/0.57
% 0.18/0.57 % Initial clauses : 14
% 0.18/0.57 % Processed clauses : 62
% 0.18/0.57 % Factors computed : 4
% 0.18/0.57 % Resolvents computed: 180
% 0.18/0.57 % Tautologies deleted: 2
% 0.18/0.57 % Forward subsumed : 53
% 0.18/0.57 % Backward subsumed : 21
% 0.18/0.57 % -------- CPU Time ---------
% 0.18/0.57 % User time : 0.229 s
% 0.18/0.57 % System time : 0.010 s
% 0.18/0.57 % Total time : 0.239 s
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