TSTP Solution File: SYN066+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SYN066+1 : TPTP v8.1.0. Bugfixed v3.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 : Thu Jul 21 11:25:05 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN066+1 : TPTP v8.1.0. Bugfixed v3.0.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n021.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 Jul 12 09:03:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.52 # Version: 1.3
% 0.19/0.52 # SZS status Theorem
% 0.19/0.52 # SZS output start CNFRefutation
% 0.19/0.52 fof(pel37,conjecture,(![X]:(?[Y]:big_r(X,Y))),input).
% 0.19/0.52 fof(c0,negated_conjecture,(~(![X]:(?[Y]:big_r(X,Y)))),inference(assume_negation,status(cth),[pel37])).
% 0.19/0.52 fof(c1,negated_conjecture,(?[X]:(![Y]:~big_r(X,Y))),inference(fof_nnf,status(thm),[c0])).
% 0.19/0.52 fof(c2,negated_conjecture,(?[X2]:(![X3]:~big_r(X2,X3))),inference(variable_rename,status(thm),[c1])).
% 0.19/0.52 fof(c3,negated_conjecture,(![X3]:~big_r(skolem0001,X3)),inference(skolemize,status(esa),[c2])).
% 0.19/0.52 cnf(c4,negated_conjecture,~big_r(skolem0001,X15),inference(split_conjunct,status(thm),[c3])).
% 0.19/0.52 fof(pel37_3,axiom,((?[X]:(?[Y]:big_q(X,Y)))=>(![Z]:big_r(Z,Z))),input).
% 0.19/0.52 fof(c5,axiom,((![X]:(![Y]:~big_q(X,Y)))|(![Z]:big_r(Z,Z))),inference(fof_nnf,status(thm),[pel37_3])).
% 0.19/0.52 fof(c7,axiom,(![X4]:(![X5]:(![X6]:(~big_q(X4,X5)|big_r(X6,X6))))),inference(shift_quantors,status(thm),[fof(c6,axiom,((![X4]:(![X5]:~big_q(X4,X5)))|(![X6]:big_r(X6,X6))),inference(variable_rename,status(thm),[c5])).])).
% 0.19/0.52 cnf(c8,axiom,~big_q(X20,X19)|big_r(X18,X18),inference(split_conjunct,status(thm),[c7])).
% 0.19/0.52 fof(pel37_2,axiom,(![X]:(![Z]:((~big_p(X,Z))=>(?[Y]:big_q(Y,Z))))),input).
% 0.19/0.52 fof(c9,axiom,(![X]:(![Z]:(~big_p(X,Z)=>(?[Y]:big_q(Y,Z))))),inference(fof_simplification,status(thm),[pel37_2])).
% 0.19/0.52 fof(c10,axiom,(![X]:(![Z]:(big_p(X,Z)|(?[Y]:big_q(Y,Z))))),inference(fof_nnf,status(thm),[c9])).
% 0.19/0.52 fof(c11,axiom,(![X7]:(![X8]:(big_p(X7,X8)|(?[X9]:big_q(X9,X8))))),inference(variable_rename,status(thm),[c10])).
% 0.19/0.52 fof(c12,axiom,(![X7]:(![X8]:(big_p(X7,X8)|big_q(skolem0002(X7,X8),X8)))),inference(skolemize,status(esa),[c11])).
% 0.19/0.52 cnf(c13,axiom,big_p(X21,X22)|big_q(skolem0002(X21,X22),X22),inference(split_conjunct,status(thm),[c12])).
% 0.19/0.52 cnf(c20,plain,big_p(X25,X23)|big_r(X24,X24),inference(resolution,status(thm),[c13, c8])).
% 0.19/0.52 cnf(c21,plain,big_p(X29,X28),inference(resolution,status(thm),[c20, c4])).
% 0.19/0.52 fof(pel37_1,axiom,(![Z]:(?[W]:(![X]:(?[Y]:(((big_p(X,Z)=>big_p(Y,W))&big_p(Y,Z))&(big_p(Y,W)=>(?[U]:big_q(U,W)))))))),input).
% 0.19/0.52 fof(c14,axiom,(![Z]:(?[W]:(![X]:(?[Y]:(((~big_p(X,Z)|big_p(Y,W))&big_p(Y,Z))&(~big_p(Y,W)|(?[U]:big_q(U,W)))))))),inference(fof_nnf,status(thm),[pel37_1])).
% 0.19/0.52 fof(c15,axiom,(![X10]:(?[X11]:(![X12]:(?[X13]:(((~big_p(X12,X10)|big_p(X13,X11))&big_p(X13,X10))&(~big_p(X13,X11)|(?[X14]:big_q(X14,X11)))))))),inference(variable_rename,status(thm),[c14])).
% 0.19/0.52 fof(c16,axiom,(![X10]:(![X12]:(((~big_p(X12,X10)|big_p(skolem0004(X10,X12),skolem0003(X10)))&big_p(skolem0004(X10,X12),X10))&(~big_p(skolem0004(X10,X12),skolem0003(X10))|big_q(skolem0005(X10,X12),skolem0003(X10)))))),inference(skolemize,status(esa),[c15])).
% 0.19/0.52 cnf(c19,axiom,~big_p(skolem0004(X37,X38),skolem0003(X37))|big_q(skolem0005(X37,X38),skolem0003(X37)),inference(split_conjunct,status(thm),[c16])).
% 0.19/0.52 cnf(c25,plain,big_q(skolem0005(X39,X40),skolem0003(X39)),inference(resolution,status(thm),[c19, c21])).
% 0.19/0.52 cnf(c26,plain,big_r(X41,X41),inference(resolution,status(thm),[c25, c8])).
% 0.19/0.52 cnf(c27,plain,$false,inference(resolution,status(thm),[c26, c4])).
% 0.19/0.52 # SZS output end CNFRefutation
% 0.19/0.52
% 0.19/0.52 # Initial clauses : 6
% 0.19/0.52 # Processed clauses : 10
% 0.19/0.52 # Factors computed : 0
% 0.19/0.52 # Resolvents computed: 8
% 0.19/0.52 # Tautologies deleted: 0
% 0.19/0.52 # Forward subsumed : 3
% 0.19/0.52 # Backward subsumed : 6
% 0.19/0.52 # -------- CPU Time ---------
% 0.19/0.52 # User time : 0.165 s
% 0.19/0.52 # System time : 0.011 s
% 0.19/0.52 # Total time : 0.175 s
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