TSTP Solution File: SYN078+1 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN078+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 17:47:18 EDT 2024
% Result : Theorem 0.38s 0.60s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN078+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 19:45:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.38/0.60 % Version: 1.5
% 0.38/0.60 % SZS status Theorem
% 0.38/0.60 % SZS output start CNFRefutation
% 0.38/0.60 fof(pel56,conjecture,((![X]:((?[Y]:(big_p(Y)&X=f(Y)))=>big_p(X)))<=>(![U]:(big_p(U)=>big_p(f(U))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', pel56)).
% 0.38/0.60 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])).
% 0.38/0.60 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])).
% 0.38/0.60 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])).
% 0.38/0.60 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])).])).
% 0.38/0.60 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])).
% 0.38/0.60 cnf(c13,negated_conjecture,~big_p(skolem0001)|~big_p(f(skolem0003)),inference(split_conjunct,[status(thm)],[c7])).
% 0.38/0.60 cnf(reflexivity,axiom,X8=X8,theory(equality)).
% 0.38/0.60 cnf(c14,negated_conjecture,~big_p(X25)|X26!=f(X25)|big_p(X26)|~big_p(X27)|big_p(f(X27)),inference(split_conjunct,[status(thm)],[c7])).
% 0.38/0.60 cnf(c36,plain,~big_p(X29)|big_p(f(X29))|~big_p(X30)|big_p(f(X30)),inference(resolution,[status(thm)],[c14, reflexivity])).
% 0.38/0.60 cnf(c44,plain,~big_p(X31)|big_p(f(X31)),inference(factor,[status(thm)],[c36])).
% 0.38/0.60 cnf(c12,negated_conjecture,~big_p(skolem0001)|big_p(skolem0003),inference(split_conjunct,[status(thm)],[c7])).
% 0.38/0.60 cnf(c1,axiom,X19!=X18|~big_p(X19)|big_p(X18),theory(equality)).
% 0.38/0.60 cnf(symmetry,axiom,X9!=X10|X10=X9,theory(equality)).
% 0.38/0.60 cnf(c10,negated_conjecture,skolem0001=f(skolem0002)|big_p(skolem0003),inference(split_conjunct,[status(thm)],[c7])).
% 0.38/0.60 cnf(c22,plain,big_p(skolem0003)|f(skolem0002)=skolem0001,inference(resolution,[status(thm)],[c10, symmetry])).
% 0.38/0.60 cnf(c24,plain,big_p(skolem0003)|~big_p(f(skolem0002))|big_p(skolem0001),inference(resolution,[status(thm)],[c22, c1])).
% 0.38/0.60 cnf(c9,negated_conjecture,big_p(skolem0002)|~big_p(f(skolem0003)),inference(split_conjunct,[status(thm)],[c7])).
% 0.38/0.60 cnf(c8,negated_conjecture,big_p(skolem0002)|big_p(skolem0003),inference(split_conjunct,[status(thm)],[c7])).
% 0.38/0.60 cnf(c51,plain,big_p(f(skolem0003))|big_p(skolem0002),inference(resolution,[status(thm)],[c44, c8])).
% 0.38/0.60 cnf(c57,plain,big_p(skolem0002),inference(resolution,[status(thm)],[c51, c9])).
% 0.38/0.60 cnf(c62,plain,big_p(f(skolem0002)),inference(resolution,[status(thm)],[c57, c44])).
% 0.38/0.60 cnf(c69,plain,big_p(skolem0003)|big_p(skolem0001),inference(resolution,[status(thm)],[c62, c24])).
% 0.38/0.60 cnf(c73,plain,big_p(skolem0003),inference(resolution,[status(thm)],[c69, c12])).
% 0.38/0.60 cnf(c74,plain,big_p(f(skolem0003)),inference(resolution,[status(thm)],[c73, c44])).
% 0.38/0.60 cnf(c76,plain,~big_p(skolem0001),inference(resolution,[status(thm)],[c74, c13])).
% 0.38/0.60 cnf(c11,negated_conjecture,skolem0001=f(skolem0002)|~big_p(f(skolem0003)),inference(split_conjunct,[status(thm)],[c7])).
% 0.38/0.60 cnf(c77,plain,skolem0001=f(skolem0002),inference(resolution,[status(thm)],[c74, c11])).
% 0.38/0.60 cnf(c79,plain,f(skolem0002)=skolem0001,inference(resolution,[status(thm)],[c77, symmetry])).
% 0.38/0.60 cnf(c84,plain,~big_p(f(skolem0002))|big_p(skolem0001),inference(resolution,[status(thm)],[c79, c1])).
% 0.38/0.60 cnf(c89,plain,big_p(skolem0001),inference(resolution,[status(thm)],[c84, c62])).
% 0.38/0.60 cnf(c91,plain,$false,inference(resolution,[status(thm)],[c89, c76])).
% 0.38/0.60 % SZS output end CNFRefutation
% 0.38/0.60
% 0.38/0.60 % Initial clauses : 12
% 0.38/0.60 % Processed clauses : 37
% 0.38/0.60 % Factors computed : 2
% 0.38/0.60 % Resolvents computed: 75
% 0.38/0.60 % Tautologies deleted: 3
% 0.38/0.60 % Forward subsumed : 18
% 0.38/0.60 % Backward subsumed : 19
% 0.38/0.60 % -------- CPU Time ---------
% 0.38/0.60 % User time : 0.217 s
% 0.38/0.60 % System time : 0.018 s
% 0.38/0.60 % Total time : 0.235 s
%------------------------------------------------------------------------------