TSTP Solution File: COM007+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : COM007+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 0.37s 0.60s
% Output : Refutation 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM007+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n026.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 : Thu May 9 07:12:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.37/0.60 % Version: 1.5
% 0.37/0.60 % SZS status Theorem
% 0.37/0.60 % SZS output start CNFRefutation
% 0.37/0.60 fof(goal_to_be_proved,conjecture,goal,file('/export/starexec/sandbox/benchmark/theBenchmark.p', goal_to_be_proved)).
% 0.37/0.60 fof(c0,negated_conjecture,(~goal),inference(assume_negation,[status(cth)],[goal_to_be_proved])).
% 0.37/0.60 fof(c1,negated_conjecture,~goal,inference(fof_simplification,[status(thm)],[c0])).
% 0.37/0.60 cnf(c2,negated_conjecture,~goal,inference(split_conjunct,[status(thm)],[c1])).
% 0.37/0.60 fof(goal_ax,axiom,(![A]:((reflexive_rewrite(b,A)&reflexive_rewrite(c,A))=>goal)),file('/export/starexec/sandbox/benchmark/theBenchmark.p', goal_ax)).
% 0.37/0.60 fof(c26,plain,(![A]:((~reflexive_rewrite(b,A)|~reflexive_rewrite(c,A))|goal)),inference(fof_nnf,[status(thm)],[goal_ax])).
% 0.37/0.60 fof(c27,plain,((![A]:(~reflexive_rewrite(b,A)|~reflexive_rewrite(c,A)))|goal),inference(shift_quantors,[status(thm)],[c26])).
% 0.37/0.60 fof(c29,plain,(![X18]:((~reflexive_rewrite(b,X18)|~reflexive_rewrite(c,X18))|goal)),inference(shift_quantors,[status(thm)],[fof(c28,plain,((![X18]:(~reflexive_rewrite(b,X18)|~reflexive_rewrite(c,X18)))|goal),inference(variable_rename,[status(thm)],[c27])).])).
% 0.37/0.60 cnf(c30,plain,~reflexive_rewrite(b,X43)|~reflexive_rewrite(c,X43)|goal,inference(split_conjunct,[status(thm)],[c29])).
% 0.37/0.60 fof(rewrite_in_reflexive_rewrite,axiom,(![A]:(![B]:(rewrite(A,B)=>reflexive_rewrite(A,B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', rewrite_in_reflexive_rewrite)).
% 0.37/0.60 fof(c12,plain,(![A]:(![B]:(~rewrite(A,B)|reflexive_rewrite(A,B)))),inference(fof_nnf,[status(thm)],[rewrite_in_reflexive_rewrite])).
% 0.37/0.60 fof(c13,plain,(![X8]:(![X9]:(~rewrite(X8,X9)|reflexive_rewrite(X8,X9)))),inference(variable_rename,[status(thm)],[c12])).
% 0.37/0.60 cnf(c14,plain,~rewrite(X20,X21)|reflexive_rewrite(X20,X21),inference(split_conjunct,[status(thm)],[c13])).
% 0.37/0.60 fof(reflexivity,axiom,(![A]:equalish(A,A)),file('/export/starexec/sandbox/benchmark/theBenchmark.p', reflexivity)).
% 0.37/0.60 fof(c24,plain,(![X17]:equalish(X17,X17)),inference(variable_rename,[status(thm)],[reflexivity])).
% 0.37/0.60 cnf(c25,plain,equalish(X19,X19),inference(split_conjunct,[status(thm)],[c24])).
% 0.37/0.60 fof(equalish_in_reflexive_rewrite,axiom,(![A]:(![B]:(equalish(A,B)=>reflexive_rewrite(A,B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', equalish_in_reflexive_rewrite)).
% 0.37/0.60 fof(c15,plain,(![A]:(![B]:(~equalish(A,B)|reflexive_rewrite(A,B)))),inference(fof_nnf,[status(thm)],[equalish_in_reflexive_rewrite])).
% 0.37/0.60 fof(c16,plain,(![X10]:(![X11]:(~equalish(X10,X11)|reflexive_rewrite(X10,X11)))),inference(variable_rename,[status(thm)],[c15])).
% 0.37/0.60 cnf(c17,plain,~equalish(X25,X26)|reflexive_rewrite(X25,X26),inference(split_conjunct,[status(thm)],[c16])).
% 0.37/0.60 cnf(c34,plain,reflexive_rewrite(X27,X27),inference(resolution,[status(thm)],[c17, c25])).
% 0.37/0.60 fof(assumption,axiom,(reflexive_rewrite(a,b)&reflexive_rewrite(a,c)),file('/export/starexec/sandbox/benchmark/theBenchmark.p', assumption)).
% 0.37/0.60 cnf(c31,plain,reflexive_rewrite(a,b),inference(split_conjunct,[status(thm)],[assumption])).
% 0.37/0.60 fof(substitution,axiom,(![A]:(![B]:(![C]:((equalish(A,B)&reflexive_rewrite(B,C))=>reflexive_rewrite(A,C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', substitution)).
% 0.37/0.60 fof(c18,plain,(![A]:(![B]:(![C]:((~equalish(A,B)|~reflexive_rewrite(B,C))|reflexive_rewrite(A,C))))),inference(fof_nnf,[status(thm)],[substitution])).
% 0.37/0.60 fof(c19,plain,(![X12]:(![X13]:(![X14]:((~equalish(X12,X13)|~reflexive_rewrite(X13,X14))|reflexive_rewrite(X12,X14))))),inference(variable_rename,[status(thm)],[c18])).
% 0.37/0.60 cnf(c20,plain,~equalish(X39,X38)|~reflexive_rewrite(X38,X37)|reflexive_rewrite(X39,X37),inference(split_conjunct,[status(thm)],[c19])).
% 0.37/0.60 cnf(c41,plain,~equalish(X42,a)|reflexive_rewrite(X42,b),inference(resolution,[status(thm)],[c20, c31])).
% 0.37/0.60 fof(symmtery,axiom,(![A]:(![B]:(equalish(A,B)=>equalish(B,A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', symmtery)).
% 0.37/0.60 fof(c21,plain,(![A]:(![B]:(~equalish(A,B)|equalish(B,A)))),inference(fof_nnf,[status(thm)],[symmtery])).
% 0.37/0.60 fof(c22,plain,(![X15]:(![X16]:(~equalish(X15,X16)|equalish(X16,X15)))),inference(variable_rename,[status(thm)],[c21])).
% 0.37/0.60 cnf(c23,plain,~equalish(X29,X28)|equalish(X28,X29),inference(split_conjunct,[status(thm)],[c22])).
% 0.37/0.60 cnf(c32,plain,reflexive_rewrite(a,c),inference(split_conjunct,[status(thm)],[assumption])).
% 0.37/0.60 fof(equalish_or_rewrite,axiom,(![A]:(![B]:(reflexive_rewrite(A,B)=>(equalish(A,B)|rewrite(A,B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', equalish_or_rewrite)).
% 0.37/0.60 fof(c9,plain,(![A]:(![B]:(~reflexive_rewrite(A,B)|(equalish(A,B)|rewrite(A,B))))),inference(fof_nnf,[status(thm)],[equalish_or_rewrite])).
% 0.37/0.60 fof(c10,plain,(![X6]:(![X7]:(~reflexive_rewrite(X6,X7)|(equalish(X6,X7)|rewrite(X6,X7))))),inference(variable_rename,[status(thm)],[c9])).
% 0.37/0.60 cnf(c11,plain,~reflexive_rewrite(X31,X32)|equalish(X31,X32)|rewrite(X31,X32),inference(split_conjunct,[status(thm)],[c10])).
% 0.37/0.60 cnf(c38,plain,equalish(a,c)|rewrite(a,c),inference(resolution,[status(thm)],[c11, c32])).
% 0.37/0.60 cnf(c52,plain,rewrite(a,c)|equalish(c,a),inference(resolution,[status(thm)],[c38, c23])).
% 0.37/0.60 cnf(c70,plain,rewrite(a,c)|reflexive_rewrite(c,b),inference(resolution,[status(thm)],[c52, c41])).
% 0.37/0.60 cnf(c124,plain,rewrite(a,c)|~reflexive_rewrite(b,b)|goal,inference(resolution,[status(thm)],[c70, c30])).
% 0.37/0.60 cnf(c152,plain,rewrite(a,c)|goal,inference(resolution,[status(thm)],[c124, c34])).
% 0.37/0.60 cnf(c161,plain,rewrite(a,c),inference(resolution,[status(thm)],[c152, c2])).
% 0.37/0.60 fof(rewrite_diamond,axiom,(![A]:(![B]:(![C]:((rewrite(A,B)&rewrite(A,C))=>(?[D]:(rewrite(B,D)&rewrite(C,D))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', rewrite_diamond)).
% 0.37/0.60 fof(c3,plain,(![A]:(![B]:(![C]:((~rewrite(A,B)|~rewrite(A,C))|(?[D]:(rewrite(B,D)&rewrite(C,D))))))),inference(fof_nnf,[status(thm)],[rewrite_diamond])).
% 0.37/0.60 fof(c4,plain,(![X2]:(![X3]:(![X4]:((~rewrite(X2,X3)|~rewrite(X2,X4))|(?[X5]:(rewrite(X3,X5)&rewrite(X4,X5))))))),inference(variable_rename,[status(thm)],[c3])).
% 0.37/0.60 fof(c5,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)],[c4])).
% 0.37/0.60 fof(c6,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)],[c5])).
% 0.37/0.60 cnf(c7,plain,~rewrite(X22,X24)|~rewrite(X22,X23)|rewrite(X24,skolem0001(X22,X24,X23)),inference(split_conjunct,[status(thm)],[c6])).
% 0.37/0.60 cnf(c44,plain,~reflexive_rewrite(b,c)|goal,inference(resolution,[status(thm)],[c30, c34])).
% 0.37/0.60 cnf(c42,plain,~equalish(X44,a)|reflexive_rewrite(X44,c),inference(resolution,[status(thm)],[c20, c32])).
% 0.37/0.60 cnf(c37,plain,equalish(a,b)|rewrite(a,b),inference(resolution,[status(thm)],[c11, c31])).
% 0.37/0.60 cnf(c46,plain,rewrite(a,b)|equalish(b,a),inference(resolution,[status(thm)],[c37, c23])).
% 0.37/0.60 cnf(c65,plain,rewrite(a,b)|reflexive_rewrite(b,c),inference(resolution,[status(thm)],[c46, c42])).
% 0.37/0.60 cnf(c98,plain,rewrite(a,b)|goal,inference(resolution,[status(thm)],[c65, c44])).
% 0.37/0.60 cnf(c105,plain,rewrite(a,b),inference(resolution,[status(thm)],[c98, c2])).
% 0.37/0.60 cnf(c111,plain,~rewrite(a,X54)|rewrite(X54,skolem0001(a,X54,b)),inference(resolution,[status(thm)],[c105, c7])).
% 0.37/0.60 cnf(c185,plain,rewrite(c,skolem0001(a,c,b)),inference(resolution,[status(thm)],[c111, c161])).
% 0.37/0.60 cnf(c189,plain,reflexive_rewrite(c,skolem0001(a,c,b)),inference(resolution,[status(thm)],[c185, c14])).
% 0.37/0.60 cnf(c193,plain,~reflexive_rewrite(b,skolem0001(a,c,b))|goal,inference(resolution,[status(thm)],[c189, c30])).
% 0.37/0.60 cnf(c8,plain,~rewrite(X33,X35)|~rewrite(X33,X34)|rewrite(X34,skolem0001(X33,X35,X34)),inference(split_conjunct,[status(thm)],[c6])).
% 0.37/0.60 cnf(c107,plain,~rewrite(a,X59)|rewrite(b,skolem0001(a,X59,b)),inference(resolution,[status(thm)],[c105, c8])).
% 0.37/0.60 cnf(c202,plain,rewrite(b,skolem0001(a,c,b)),inference(resolution,[status(thm)],[c107, c161])).
% 0.37/0.60 cnf(c208,plain,reflexive_rewrite(b,skolem0001(a,c,b)),inference(resolution,[status(thm)],[c202, c14])).
% 0.37/0.60 cnf(c212,plain,goal,inference(resolution,[status(thm)],[c208, c193])).
% 0.37/0.60 cnf(c213,plain,$false,inference(resolution,[status(thm)],[c212, c2])).
% 0.37/0.60 % SZS output end CNFRefutation
% 0.37/0.60
% 0.37/0.60 % Initial clauses : 12
% 0.37/0.60 % Processed clauses : 54
% 0.37/0.60 % Factors computed : 2
% 0.37/0.60 % Resolvents computed: 179
% 0.37/0.60 % Tautologies deleted: 0
% 0.37/0.60 % Forward subsumed : 34
% 0.37/0.60 % Backward subsumed : 21
% 0.37/0.60 % -------- CPU Time ---------
% 0.37/0.60 % User time : 0.246 s
% 0.37/0.60 % System time : 0.016 s
% 0.37/0.60 % Total time : 0.262 s
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