TSTP Solution File: SYN078+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SYN078+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 11:25:14 EDT 2022
% Result : Theorem 0.40s 0.56s
% Output : Refutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN078+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 12:12:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.40/0.56 # Version: 1.3
% 0.40/0.56 # SZS status Theorem
% 0.40/0.56 # SZS output start CNFRefutation
% 0.40/0.56 fof(pel56,conjecture,((![X]:((?[Y]:(big_p(Y)&X=f(Y)))=>big_p(X)))<=>(![U]:(big_p(U)=>big_p(f(U))))),input).
% 0.40/0.56 fof(c2,negated_conjecture,(~((![X]:((?[Y]:(big_p(Y)&X=f(Y)))=>big_p(X)))<=>(![U]:(big_p(U)=>big_p(f(U)))))),inference(assume_negation,status(cth),[pel56])).
% 0.40/0.56 fof(c3,negated_conjecture,(((?[X]:((?[Y]:(big_p(Y)&X=f(Y)))&~big_p(X)))|(?[U]:(big_p(U)&~big_p(f(U)))))&((![X]:((![Y]:(~big_p(Y)|X!=f(Y)))|big_p(X)))|(![U]:(~big_p(U)|big_p(f(U)))))),inference(fof_nnf,status(thm),[c2])).
% 0.40/0.56 fof(c4,negated_conjecture,(((?[X2]:((?[X3]:(big_p(X3)&X2=f(X3)))&~big_p(X2)))|(?[X4]:(big_p(X4)&~big_p(f(X4)))))&((![X5]:((![X6]:(~big_p(X6)|X5!=f(X6)))|big_p(X5)))|(![X7]:(~big_p(X7)|big_p(f(X7)))))),inference(variable_rename,status(thm),[c3])).
% 0.40/0.56 fof(c6,negated_conjecture,(![X5]:(![X6]:(![X7]:((((big_p(skolem0002)&skolem0001=f(skolem0002))&~big_p(skolem0001))|(big_p(skolem0003)&~big_p(f(skolem0003))))&(((~big_p(X6)|X5!=f(X6))|big_p(X5))|(~big_p(X7)|big_p(f(X7)))))))),inference(shift_quantors,status(thm),[fof(c5,negated_conjecture,((((big_p(skolem0002)&skolem0001=f(skolem0002))&~big_p(skolem0001))|(big_p(skolem0003)&~big_p(f(skolem0003))))&((![X5]:((![X6]:(~big_p(X6)|X5!=f(X6)))|big_p(X5)))|(![X7]:(~big_p(X7)|big_p(f(X7)))))),inference(skolemize,status(esa),[c4])).])).
% 0.40/0.56 fof(c7,negated_conjecture,(![X5]:(![X6]:(![X7]:(((((big_p(skolem0002)|big_p(skolem0003))&(big_p(skolem0002)|~big_p(f(skolem0003))))&((skolem0001=f(skolem0002)|big_p(skolem0003))&(skolem0001=f(skolem0002)|~big_p(f(skolem0003)))))&((~big_p(skolem0001)|big_p(skolem0003))&(~big_p(skolem0001)|~big_p(f(skolem0003)))))&(((~big_p(X6)|X5!=f(X6))|big_p(X5))|(~big_p(X7)|big_p(f(X7)))))))),inference(distribute,status(thm),[c6])).
% 0.40/0.56 cnf(c13,negated_conjecture,~big_p(skolem0001)|~big_p(f(skolem0003)),inference(split_conjunct,status(thm),[c7])).
% 0.40/0.56 cnf(c12,negated_conjecture,~big_p(skolem0001)|big_p(skolem0003),inference(split_conjunct,status(thm),[c7])).
% 0.40/0.56 cnf(c1,plain,X17!=X18|~big_p(X17)|big_p(X18),eq_axiom).
% 0.40/0.56 cnf(symmetry,axiom,X9!=X10|X10=X9,eq_axiom).
% 0.40/0.56 cnf(c10,negated_conjecture,skolem0001=f(skolem0002)|big_p(skolem0003),inference(split_conjunct,status(thm),[c7])).
% 0.40/0.56 cnf(c19,plain,big_p(skolem0003)|f(skolem0002)=skolem0001,inference(resolution,status(thm),[c10, symmetry])).
% 0.40/0.56 cnf(c25,plain,big_p(skolem0003)|~big_p(f(skolem0002))|big_p(skolem0001),inference(resolution,status(thm),[c19, c1])).
% 0.40/0.56 cnf(c8,negated_conjecture,big_p(skolem0002)|big_p(skolem0003),inference(split_conjunct,status(thm),[c7])).
% 0.40/0.56 cnf(reflexivity,axiom,X8=X8,eq_axiom).
% 0.40/0.56 cnf(c14,negated_conjecture,~big_p(X24)|X23!=f(X24)|big_p(X23)|~big_p(X25)|big_p(f(X25)),inference(split_conjunct,status(thm),[c7])).
% 0.40/0.56 cnf(c28,plain,~big_p(X28)|big_p(f(X28))|~big_p(X29)|big_p(f(X29)),inference(resolution,status(thm),[c14, reflexivity])).
% 0.40/0.56 cnf(c45,plain,~big_p(X31)|big_p(f(X31))|big_p(f(skolem0002))|big_p(skolem0003),inference(resolution,status(thm),[c28, c8])).
% 0.40/0.56 cnf(c57,plain,big_p(f(skolem0002))|big_p(skolem0003),inference(resolution,status(thm),[c45, c8])).
% 0.40/0.56 cnf(c64,plain,big_p(skolem0003)|big_p(skolem0001),inference(resolution,status(thm),[c57, c25])).
% 0.40/0.56 cnf(c70,plain,big_p(skolem0003),inference(resolution,status(thm),[c64, c12])).
% 0.40/0.56 cnf(c71,plain,~big_p(X33)|big_p(f(X33))|big_p(f(skolem0003)),inference(resolution,status(thm),[c70, c28])).
% 0.40/0.56 cnf(c72,plain,big_p(f(skolem0003)),inference(resolution,status(thm),[c71, c70])).
% 0.40/0.56 cnf(c75,plain,~big_p(skolem0001),inference(resolution,status(thm),[c72, c13])).
% 0.40/0.56 cnf(c11,negated_conjecture,skolem0001=f(skolem0002)|~big_p(f(skolem0003)),inference(split_conjunct,status(thm),[c7])).
% 0.40/0.56 cnf(c74,plain,skolem0001=f(skolem0002),inference(resolution,status(thm),[c72, c11])).
% 0.40/0.56 cnf(c82,plain,f(skolem0002)=skolem0001,inference(resolution,status(thm),[c74, symmetry])).
% 0.40/0.56 cnf(c83,plain,~big_p(f(skolem0002))|big_p(skolem0001),inference(resolution,status(thm),[c82, c1])).
% 0.40/0.56 cnf(c9,negated_conjecture,big_p(skolem0002)|~big_p(f(skolem0003)),inference(split_conjunct,status(thm),[c7])).
% 0.40/0.56 cnf(c76,plain,big_p(skolem0002),inference(resolution,status(thm),[c72, c9])).
% 0.40/0.56 cnf(c77,plain,~big_p(X39)|big_p(f(X39))|big_p(f(skolem0002)),inference(resolution,status(thm),[c76, c28])).
% 0.40/0.56 cnf(c101,plain,big_p(f(skolem0002)),inference(resolution,status(thm),[c77, c76])).
% 0.40/0.56 cnf(c105,plain,big_p(skolem0001),inference(resolution,status(thm),[c101, c83])).
% 0.40/0.56 cnf(c107,plain,$false,inference(resolution,status(thm),[c105, c75])).
% 0.40/0.56 # SZS output end CNFRefutation
% 0.40/0.56
% 0.40/0.56 # Initial clauses : 12
% 0.40/0.56 # Processed clauses : 41
% 0.40/0.56 # Factors computed : 1
% 0.40/0.56 # Resolvents computed: 92
% 0.40/0.56 # Tautologies deleted: 2
% 0.40/0.56 # Forward subsumed : 23
% 0.40/0.56 # Backward subsumed : 22
% 0.40/0.56 # -------- CPU Time ---------
% 0.40/0.56 # User time : 0.208 s
% 0.40/0.56 # System time : 0.012 s
% 0.40/0.56 # Total time : 0.220 s
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