TSTP Solution File: LCL544+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL544+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 17:31:37 EDT 2024
% Result : Theorem 39.43s 39.66s
% Output : Refutation 39.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL544+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 15:01:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 39.43/39.66 % Version: 1.5
% 39.43/39.66 % SZS status Theorem
% 39.43/39.66 % SZS output start CNFRefutation
% 39.43/39.66 fof(s1_0_axiom_m4,conjecture,axiom_m4,file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_0_axiom_m4)).
% 39.43/39.66 fof(c10,negated_conjecture,(~axiom_m4),inference(assume_negation,[status(cth)],[s1_0_axiom_m4])).
% 39.43/39.66 fof(c11,negated_conjecture,~axiom_m4,inference(fof_simplification,[status(thm)],[c10])).
% 39.43/39.66 cnf(c12,negated_conjecture,~axiom_m4,inference(split_conjunct,[status(thm)],[c11])).
% 39.43/39.66 fof(axiom_m4,axiom,(axiom_m4<=>(![X]:is_a_theorem(strict_implies(X,and(X,X))))),file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax', axiom_m4)).
% 39.43/39.66 fof(c77,plain,((~axiom_m4|(![X]:is_a_theorem(strict_implies(X,and(X,X)))))&((?[X]:~is_a_theorem(strict_implies(X,and(X,X))))|axiom_m4)),inference(fof_nnf,[status(thm)],[axiom_m4])).
% 39.43/39.66 fof(c78,plain,((~axiom_m4|(![X28]:is_a_theorem(strict_implies(X28,and(X28,X28)))))&((?[X29]:~is_a_theorem(strict_implies(X29,and(X29,X29))))|axiom_m4)),inference(variable_rename,[status(thm)],[c77])).
% 39.43/39.66 fof(c80,plain,(![X28]:((~axiom_m4|is_a_theorem(strict_implies(X28,and(X28,X28))))&(~is_a_theorem(strict_implies(skolem0011,and(skolem0011,skolem0011)))|axiom_m4))),inference(shift_quantors,[status(thm)],[fof(c79,plain,((~axiom_m4|(![X28]:is_a_theorem(strict_implies(X28,and(X28,X28)))))&(~is_a_theorem(strict_implies(skolem0011,and(skolem0011,skolem0011)))|axiom_m4)),inference(skolemize,[status(esa)],[c78])).])).
% 39.43/39.66 cnf(c82,plain,~is_a_theorem(strict_implies(skolem0011,and(skolem0011,skolem0011)))|axiom_m4,inference(split_conjunct,[status(thm)],[c80])).
% 39.43/39.66 cnf(c9,axiom,X238!=X239|~is_a_theorem(X238)|is_a_theorem(X239),theory(equality)).
% 39.43/39.66 cnf(symmetry,axiom,X207!=X208|X208=X207,theory(equality)).
% 39.43/39.66 fof(s1_0_op_strict_implies,axiom,op_strict_implies,file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_0_op_strict_implies)).
% 39.43/39.66 cnf(c15,plain,op_strict_implies,inference(split_conjunct,[status(thm)],[s1_0_op_strict_implies])).
% 39.43/39.66 fof(op_strict_implies,axiom,(op_strict_implies=>(![X]:(![Y]:strict_implies(X,Y)=necessarily(implies(X,Y))))),file('/export/starexec/sandbox/benchmark/Axioms/LCL007+1.ax', op_strict_implies)).
% 39.43/39.66 fof(c29,plain,(~op_strict_implies|(![X]:(![Y]:strict_implies(X,Y)=necessarily(implies(X,Y))))),inference(fof_nnf,[status(thm)],[op_strict_implies])).
% 39.43/39.66 fof(c31,plain,(![X4]:(![X5]:(~op_strict_implies|strict_implies(X4,X5)=necessarily(implies(X4,X5))))),inference(shift_quantors,[status(thm)],[fof(c30,plain,(~op_strict_implies|(![X4]:(![X5]:strict_implies(X4,X5)=necessarily(implies(X4,X5))))),inference(variable_rename,[status(thm)],[c29])).])).
% 39.43/39.66 cnf(c32,plain,~op_strict_implies|strict_implies(X268,X267)=necessarily(implies(X268,X267)),inference(split_conjunct,[status(thm)],[c31])).
% 39.43/39.66 cnf(c421,plain,strict_implies(X301,X302)=necessarily(implies(X301,X302)),inference(resolution,[status(thm)],[c32, c15])).
% 39.43/39.66 cnf(c444,plain,necessarily(implies(X305,X304))=strict_implies(X305,X304),inference(resolution,[status(thm)],[c421, symmetry])).
% 39.43/39.66 cnf(c478,plain,~is_a_theorem(necessarily(implies(X603,X602)))|is_a_theorem(strict_implies(X603,X602)),inference(resolution,[status(thm)],[c444, c9])).
% 39.43/39.66 fof(km4b_necessitation,axiom,necessitation,file('/export/starexec/sandbox/benchmark/Axioms/LCL007+3.ax', km4b_necessitation)).
% 39.43/39.66 cnf(c23,plain,necessitation,inference(split_conjunct,[status(thm)],[km4b_necessitation])).
% 39.43/39.66 fof(necessitation,axiom,(necessitation<=>(![X]:(is_a_theorem(X)=>is_a_theorem(necessarily(X))))),file('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax', necessitation)).
% 39.43/39.66 fof(c181,plain,((~necessitation|(![X]:(~is_a_theorem(X)|is_a_theorem(necessarily(X)))))&((?[X]:(is_a_theorem(X)&~is_a_theorem(necessarily(X))))|necessitation)),inference(fof_nnf,[status(thm)],[necessitation])).
% 39.43/39.66 fof(c182,plain,((~necessitation|(![X84]:(~is_a_theorem(X84)|is_a_theorem(necessarily(X84)))))&((?[X85]:(is_a_theorem(X85)&~is_a_theorem(necessarily(X85))))|necessitation)),inference(variable_rename,[status(thm)],[c181])).
% 39.43/39.66 fof(c184,plain,(![X84]:((~necessitation|(~is_a_theorem(X84)|is_a_theorem(necessarily(X84))))&((is_a_theorem(skolem0039)&~is_a_theorem(necessarily(skolem0039)))|necessitation))),inference(shift_quantors,[status(thm)],[fof(c183,plain,((~necessitation|(![X84]:(~is_a_theorem(X84)|is_a_theorem(necessarily(X84)))))&((is_a_theorem(skolem0039)&~is_a_theorem(necessarily(skolem0039)))|necessitation)),inference(skolemize,[status(esa)],[c182])).])).
% 39.43/39.66 fof(c185,plain,(![X84]:((~necessitation|(~is_a_theorem(X84)|is_a_theorem(necessarily(X84))))&((is_a_theorem(skolem0039)|necessitation)&(~is_a_theorem(necessarily(skolem0039))|necessitation)))),inference(distribute,[status(thm)],[c184])).
% 39.43/39.66 cnf(c186,plain,~necessitation|~is_a_theorem(X248)|is_a_theorem(necessarily(X248)),inference(split_conjunct,[status(thm)],[c185])).
% 39.43/39.66 fof(hilbert_modus_ponens,axiom,modus_ponens,file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax', hilbert_modus_ponens)).
% 39.43/39.66 cnf(c203,plain,modus_ponens,inference(split_conjunct,[status(thm)],[hilbert_modus_ponens])).
% 39.43/39.66 fof(hilbert_and_3,axiom,and_3,file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax', hilbert_and_3)).
% 39.43/39.66 cnf(c196,plain,and_3,inference(split_conjunct,[status(thm)],[hilbert_and_3])).
% 39.43/39.66 fof(and_3,axiom,(and_3<=>(![X]:(![Y]:is_a_theorem(implies(X,implies(Y,and(X,Y))))))),file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', and_3)).
% 39.43/39.66 fof(c329,plain,((~and_3|(![X]:(![Y]:is_a_theorem(implies(X,implies(Y,and(X,Y)))))))&((?[X]:(?[Y]:~is_a_theorem(implies(X,implies(Y,and(X,Y))))))|and_3)),inference(fof_nnf,[status(thm)],[and_3])).
% 39.43/39.66 fof(c330,plain,((~and_3|(![X168]:(![X169]:is_a_theorem(implies(X168,implies(X169,and(X168,X169)))))))&((?[X170]:(?[X171]:~is_a_theorem(implies(X170,implies(X171,and(X170,X171))))))|and_3)),inference(variable_rename,[status(thm)],[c329])).
% 39.43/39.66 fof(c332,plain,(![X168]:(![X169]:((~and_3|is_a_theorem(implies(X168,implies(X169,and(X168,X169)))))&(~is_a_theorem(implies(skolem0076,implies(skolem0077,and(skolem0076,skolem0077))))|and_3)))),inference(shift_quantors,[status(thm)],[fof(c331,plain,((~and_3|(![X168]:(![X169]:is_a_theorem(implies(X168,implies(X169,and(X168,X169)))))))&(~is_a_theorem(implies(skolem0076,implies(skolem0077,and(skolem0076,skolem0077))))|and_3)),inference(skolemize,[status(esa)],[c330])).])).
% 39.43/39.66 cnf(c333,plain,~and_3|is_a_theorem(implies(X366,implies(X367,and(X366,X367)))),inference(split_conjunct,[status(thm)],[c332])).
% 39.43/39.66 cnf(c572,plain,is_a_theorem(implies(X369,implies(X368,and(X369,X368)))),inference(resolution,[status(thm)],[c333, c196])).
% 39.43/39.66 fof(modus_ponens,axiom,(modus_ponens<=>(![X]:(![Y]:((is_a_theorem(X)&is_a_theorem(implies(X,Y)))=>is_a_theorem(Y))))),file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', modus_ponens)).
% 39.43/39.66 fof(c379,plain,((~modus_ponens|(![X]:(![Y]:((~is_a_theorem(X)|~is_a_theorem(implies(X,Y)))|is_a_theorem(Y)))))&((?[X]:(?[Y]:((is_a_theorem(X)&is_a_theorem(implies(X,Y)))&~is_a_theorem(Y))))|modus_ponens)),inference(fof_nnf,[status(thm)],[modus_ponens])).
% 39.43/39.66 fof(c380,plain,((~modus_ponens|(![X202]:(![X203]:((~is_a_theorem(X202)|~is_a_theorem(implies(X202,X203)))|is_a_theorem(X203)))))&((?[X204]:(?[X205]:((is_a_theorem(X204)&is_a_theorem(implies(X204,X205)))&~is_a_theorem(X205))))|modus_ponens)),inference(variable_rename,[status(thm)],[c379])).
% 39.43/39.66 fof(c382,plain,(![X202]:(![X203]:((~modus_ponens|((~is_a_theorem(X202)|~is_a_theorem(implies(X202,X203)))|is_a_theorem(X203)))&(((is_a_theorem(skolem0093)&is_a_theorem(implies(skolem0093,skolem0094)))&~is_a_theorem(skolem0094))|modus_ponens)))),inference(shift_quantors,[status(thm)],[fof(c381,plain,((~modus_ponens|(![X202]:(![X203]:((~is_a_theorem(X202)|~is_a_theorem(implies(X202,X203)))|is_a_theorem(X203)))))&(((is_a_theorem(skolem0093)&is_a_theorem(implies(skolem0093,skolem0094)))&~is_a_theorem(skolem0094))|modus_ponens)),inference(skolemize,[status(esa)],[c380])).])).
% 39.43/39.66 fof(c383,plain,(![X202]:(![X203]:((~modus_ponens|((~is_a_theorem(X202)|~is_a_theorem(implies(X202,X203)))|is_a_theorem(X203)))&(((is_a_theorem(skolem0093)|modus_ponens)&(is_a_theorem(implies(skolem0093,skolem0094))|modus_ponens))&(~is_a_theorem(skolem0094)|modus_ponens))))),inference(distribute,[status(thm)],[c382])).
% 39.43/39.66 cnf(c384,plain,~modus_ponens|~is_a_theorem(X370)|~is_a_theorem(implies(X370,X371))|is_a_theorem(X371),inference(split_conjunct,[status(thm)],[c383])).
% 39.43/39.66 fof(hilbert_implies_2,axiom,implies_2,file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax', hilbert_implies_2)).
% 39.43/39.66 cnf(c200,plain,implies_2,inference(split_conjunct,[status(thm)],[hilbert_implies_2])).
% 39.43/39.66 fof(implies_2,axiom,(implies_2<=>(![X]:(![Y]:is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))))),file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', implies_2)).
% 39.43/39.66 fof(c353,plain,((~implies_2|(![X]:(![Y]:is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))))))&((?[X]:(?[Y]:~is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))))|implies_2)),inference(fof_nnf,[status(thm)],[implies_2])).
% 39.43/39.66 fof(c354,plain,((~implies_2|(![X186]:(![X187]:is_a_theorem(implies(implies(X186,implies(X186,X187)),implies(X186,X187))))))&((?[X188]:(?[X189]:~is_a_theorem(implies(implies(X188,implies(X188,X189)),implies(X188,X189)))))|implies_2)),inference(variable_rename,[status(thm)],[c353])).
% 39.43/39.66 fof(c356,plain,(![X186]:(![X187]:((~implies_2|is_a_theorem(implies(implies(X186,implies(X186,X187)),implies(X186,X187))))&(~is_a_theorem(implies(implies(skolem0085,implies(skolem0085,skolem0086)),implies(skolem0085,skolem0086)))|implies_2)))),inference(shift_quantors,[status(thm)],[fof(c355,plain,((~implies_2|(![X186]:(![X187]:is_a_theorem(implies(implies(X186,implies(X186,X187)),implies(X186,X187))))))&(~is_a_theorem(implies(implies(skolem0085,implies(skolem0085,skolem0086)),implies(skolem0085,skolem0086)))|implies_2)),inference(skolemize,[status(esa)],[c354])).])).
% 39.43/39.66 cnf(c357,plain,~implies_2|is_a_theorem(implies(implies(X591,implies(X591,X590)),implies(X591,X590))),inference(split_conjunct,[status(thm)],[c356])).
% 39.43/39.66 cnf(c1235,plain,is_a_theorem(implies(implies(X1833,implies(X1833,X1834)),implies(X1833,X1834))),inference(resolution,[status(thm)],[c357, c200])).
% 39.43/39.66 cnf(c9528,plain,~modus_ponens|~is_a_theorem(implies(X7870,implies(X7870,X7871)))|is_a_theorem(implies(X7870,X7871)),inference(resolution,[status(thm)],[c1235, c384])).
% 39.43/39.66 cnf(c48102,plain,~modus_ponens|is_a_theorem(implies(X7916,and(X7916,X7916))),inference(resolution,[status(thm)],[c9528, c572])).
% 39.43/39.66 cnf(c48767,plain,is_a_theorem(implies(X7917,and(X7917,X7917))),inference(resolution,[status(thm)],[c48102, c203])).
% 39.43/39.66 cnf(c48783,plain,~necessitation|is_a_theorem(necessarily(implies(X8067,and(X8067,X8067)))),inference(resolution,[status(thm)],[c48767, c186])).
% 39.43/39.66 cnf(c51996,plain,is_a_theorem(necessarily(implies(X8068,and(X8068,X8068)))),inference(resolution,[status(thm)],[c48783, c23])).
% 39.43/39.66 cnf(c51998,plain,is_a_theorem(strict_implies(X8069,and(X8069,X8069))),inference(resolution,[status(thm)],[c51996, c478])).
% 39.43/39.66 cnf(c52065,plain,axiom_m4,inference(resolution,[status(thm)],[c51998, c82])).
% 39.43/39.66 cnf(c52103,plain,$false,inference(resolution,[status(thm)],[c52065, c12])).
% 39.43/39.66 % SZS output end CNFRefutation
% 39.43/39.66
% 39.43/39.66 % Initial clauses : 160
% 39.43/39.66 % Processed clauses : 1867
% 39.43/39.66 % Factors computed : 8
% 39.43/39.66 % Resolvents computed: 51708
% 39.43/39.66 % Tautologies deleted: 99
% 39.43/39.66 % Forward subsumed : 1938
% 39.43/39.66 % Backward subsumed : 770
% 39.43/39.66 % -------- CPU Time ---------
% 39.43/39.66 % User time : 39.177 s
% 39.43/39.66 % System time : 0.117 s
% 39.43/39.66 % Total time : 39.294 s
%------------------------------------------------------------------------------