%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN084+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 17:47:20 EDT 2024
% Result : Theorem 0.48s 0.69s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN084+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 19:47:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.48/0.69 % Version: 1.5
% 0.48/0.69 % SZS status Theorem
% 0.48/0.69 % SZS output start CNFRefutation
% 0.48/0.69 fof(pel62,conjecture,((![X]:((big_p(a)&(big_p(X)=>big_p(f(X))))=>big_p(f(f(X)))))<=>(![X1]:((((~big_p(a))|big_p(X1))|big_p(f(f(X1))))&(((~big_p(a))|(~big_p(f(X1))))|big_p(f(f(X1))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', pel62)).
% 0.48/0.69 fof(c0,negated_conjecture,(~((![X]:((big_p(a)&(big_p(X)=>big_p(f(X))))=>big_p(f(f(X)))))<=>(![X1]:((((~big_p(a))|big_p(X1))|big_p(f(f(X1))))&(((~big_p(a))|(~big_p(f(X1))))|big_p(f(f(X1)))))))),inference(assume_negation,[status(cth)],[pel62])).
% 0.48/0.69 fof(c1,negated_conjecture,(~((![X]:((big_p(a)&(big_p(X)=>big_p(f(X))))=>big_p(f(f(X)))))<=>(![X1]:(((~big_p(a)|big_p(X1))|big_p(f(f(X1))))&((~big_p(a)|~big_p(f(X1)))|big_p(f(f(X1)))))))),inference(fof_simplification,[status(thm)],[c0])).
% 0.48/0.69 fof(c2,negated_conjecture,(((?[X]:((big_p(a)&(~big_p(X)|big_p(f(X))))&~big_p(f(f(X)))))|(?[X1]:(((big_p(a)&~big_p(X1))&~big_p(f(f(X1))))|((big_p(a)&big_p(f(X1)))&~big_p(f(f(X1)))))))&((![X]:((~big_p(a)|(big_p(X)&~big_p(f(X))))|big_p(f(f(X)))))|(![X1]:(((~big_p(a)|big_p(X1))|big_p(f(f(X1))))&((~big_p(a)|~big_p(f(X1)))|big_p(f(f(X1)))))))),inference(fof_nnf,[status(thm)],[c1])).
% 0.48/0.69 fof(c3,negated_conjecture,(((?[X]:((big_p(a)&(~big_p(X)|big_p(f(X))))&~big_p(f(f(X)))))|((?[X1]:((big_p(a)&~big_p(X1))&~big_p(f(f(X1)))))|(?[X1]:((big_p(a)&big_p(f(X1)))&~big_p(f(f(X1)))))))&((![X]:((~big_p(a)|(big_p(X)&~big_p(f(X))))|big_p(f(f(X)))))|((![X1]:((~big_p(a)|big_p(X1))|big_p(f(f(X1)))))&(![X1]:((~big_p(a)|~big_p(f(X1)))|big_p(f(f(X1)))))))),inference(shift_quantors,[status(thm)],[c2])).
% 0.48/0.69 fof(c4,negated_conjecture,(((?[X2]:((big_p(a)&(~big_p(X2)|big_p(f(X2))))&~big_p(f(f(X2)))))|((?[X3]:((big_p(a)&~big_p(X3))&~big_p(f(f(X3)))))|(?[X4]:((big_p(a)&big_p(f(X4)))&~big_p(f(f(X4)))))))&((![X5]:((~big_p(a)|(big_p(X5)&~big_p(f(X5))))|big_p(f(f(X5)))))|((![X6]:((~big_p(a)|big_p(X6))|big_p(f(f(X6)))))&(![X7]:((~big_p(a)|~big_p(f(X7)))|big_p(f(f(X7)))))))),inference(variable_rename,[status(thm)],[c3])).
% 0.48/0.69 fof(c6,negated_conjecture,(![X5]:(![X6]:(![X7]:((((big_p(a)&(~big_p(skolem0001)|big_p(f(skolem0001))))&~big_p(f(f(skolem0001))))|(((big_p(a)&~big_p(skolem0002))&~big_p(f(f(skolem0002))))|((big_p(a)&big_p(f(skolem0003)))&~big_p(f(f(skolem0003))))))&(((~big_p(a)|(big_p(X5)&~big_p(f(X5))))|big_p(f(f(X5))))|(((~big_p(a)|big_p(X6))|big_p(f(f(X6))))&((~big_p(a)|~big_p(f(X7)))|big_p(f(f(X7)))))))))),inference(shift_quantors,[status(thm)],[fof(c5,negated_conjecture,((((big_p(a)&(~big_p(skolem0001)|big_p(f(skolem0001))))&~big_p(f(f(skolem0001))))|(((big_p(a)&~big_p(skolem0002))&~big_p(f(f(skolem0002))))|((big_p(a)&big_p(f(skolem0003)))&~big_p(f(f(skolem0003))))))&((![X5]:((~big_p(a)|(big_p(X5)&~big_p(f(X5))))|big_p(f(f(X5)))))|((![X6]:((~big_p(a)|big_p(X6))|big_p(f(f(X6)))))&(![X7]:((~big_p(a)|~big_p(f(X7)))|big_p(f(f(X7)))))))),inference(skolemize,[status(esa)],[c4])).])).
% 0.48/0.69 fof(c7,negated_conjecture,(![X5]:(![X6]:(![X7]:((((((((big_p(a)|(big_p(a)|big_p(a)))&(big_p(a)|(big_p(a)|big_p(f(skolem0003)))))&(big_p(a)|(big_p(a)|~big_p(f(f(skolem0003))))))&(((big_p(a)|(~big_p(skolem0002)|big_p(a)))&(big_p(a)|(~big_p(skolem0002)|big_p(f(skolem0003)))))&(big_p(a)|(~big_p(skolem0002)|~big_p(f(f(skolem0003)))))))&(((big_p(a)|(~big_p(f(f(skolem0002)))|big_p(a)))&(big_p(a)|(~big_p(f(f(skolem0002)))|big_p(f(skolem0003)))))&(big_p(a)|(~big_p(f(f(skolem0002)))|~big_p(f(f(skolem0003)))))))&((((((~big_p(skolem0001)|big_p(f(skolem0001)))|(big_p(a)|big_p(a)))&((~big_p(skolem0001)|big_p(f(skolem0001)))|(big_p(a)|big_p(f(skolem0003)))))&((~big_p(skolem0001)|big_p(f(skolem0001)))|(big_p(a)|~big_p(f(f(skolem0003))))))&((((~big_p(skolem0001)|big_p(f(skolem0001)))|(~big_p(skolem0002)|big_p(a)))&((~big_p(skolem0001)|big_p(f(skolem0001)))|(~big_p(skolem0002)|big_p(f(skolem0003)))))&((~big_p(skolem0001)|big_p(f(skolem0001)))|(~big_p(skolem0002)|~big_p(f(f(skolem0003)))))))&((((~big_p(skolem0001)|big_p(f(skolem0001)))|(~big_p(f(f(skolem0002)))|big_p(a)))&((~big_p(skolem0001)|big_p(f(skolem0001)))|(~big_p(f(f(skolem0002)))|big_p(f(skolem0003)))))&((~big_p(skolem0001)|big_p(f(skolem0001)))|(~big_p(f(f(skolem0002)))|~big_p(f(f(skolem0003))))))))&(((((~big_p(f(f(skolem0001)))|(big_p(a)|big_p(a)))&(~big_p(f(f(skolem0001)))|(big_p(a)|big_p(f(skolem0003)))))&(~big_p(f(f(skolem0001)))|(big_p(a)|~big_p(f(f(skolem0003))))))&(((~big_p(f(f(skolem0001)))|(~big_p(skolem0002)|big_p(a)))&(~big_p(f(f(skolem0001)))|(~big_p(skolem0002)|big_p(f(skolem0003)))))&(~big_p(f(f(skolem0001)))|(~big_p(skolem0002)|~big_p(f(f(skolem0003)))))))&(((~big_p(f(f(skolem0001)))|(~big_p(f(f(skolem0002)))|big_p(a)))&(~big_p(f(f(skolem0001)))|(~big_p(f(f(skolem0002)))|big_p(f(skolem0003)))))&(~big_p(f(f(skolem0001)))|(~big_p(f(f(skolem0002)))|~big_p(f(f(skolem0003))))))))&(((((~big_p(a)|big_p(X5))|big_p(f(f(X5))))|((~big_p(a)|big_p(X6))|big_p(f(f(X6)))))&(((~big_p(a)|big_p(X5))|big_p(f(f(X5))))|((~big_p(a)|~big_p(f(X7)))|big_p(f(f(X7))))))&((((~big_p(a)|~big_p(f(X5)))|big_p(f(f(X5))))|((~big_p(a)|big_p(X6))|big_p(f(f(X6)))))&(((~big_p(a)|~big_p(f(X5)))|big_p(f(f(X5))))|((~big_p(a)|~big_p(f(X7)))|big_p(f(f(X7))))))))))),inference(distribute,[status(thm)],[c6])).
% 0.48/0.69 cnf(c31,negated_conjecture,~big_p(f(f(skolem0001)))|~big_p(skolem0002)|~big_p(f(f(skolem0003))),inference(split_conjunct,[status(thm)],[c7])).
% 0.48/0.69 cnf(c8,negated_conjecture,big_p(a)|big_p(a)|big_p(a),inference(split_conjunct,[status(thm)],[c7])).
% 0.48/0.69 cnf(c39,plain,big_p(a),inference(factor,[status(thm)],[c8])).
% 0.48/0.69 cnf(c38,negated_conjecture,~big_p(a)|~big_p(f(X21))|big_p(f(f(X21)))|~big_p(a)|~big_p(f(X20))|big_p(f(f(X20))),inference(split_conjunct,[status(thm)],[c7])).
% 0.48/0.69 cnf(c106,plain,~big_p(a)|~big_p(f(X22))|big_p(f(f(X22))),inference(factor,[status(thm)],[c38])).
% 0.48/0.69 cnf(c33,negated_conjecture,~big_p(f(f(skolem0001)))|~big_p(f(f(skolem0002)))|big_p(f(skolem0003)),inference(split_conjunct,[status(thm)],[c7])).
% 0.48/0.69 cnf(c35,negated_conjecture,~big_p(a)|big_p(X8)|big_p(f(f(X8)))|~big_p(a)|big_p(X9)|big_p(f(f(X9))),inference(split_conjunct,[status(thm)],[c7])).
% 0.48/0.69 cnf(c42,plain,~big_p(a)|big_p(X11)|big_p(f(f(X11)))|big_p(X10)|big_p(f(f(X10))),inference(factor,[status(thm)],[c35])).
% 0.48/0.69 cnf(c44,plain,big_p(X12)|big_p(f(f(X12)))|big_p(X13)|big_p(f(f(X13))),inference(resolution,[status(thm)],[c42, c39])).
% 0.48/0.69 cnf(c45,plain,big_p(X14)|big_p(f(f(X14))),inference(factor,[status(thm)],[c44])).
% 0.48/0.69 cnf(c89,plain,big_p(skolem0002)|~big_p(f(f(skolem0001)))|big_p(f(skolem0003)),inference(resolution,[status(thm)],[c45, c33])).
% 0.48/0.69 cnf(c30,negated_conjecture,~big_p(f(f(skolem0001)))|~big_p(skolem0002)|big_p(f(skolem0003)),inference(split_conjunct,[status(thm)],[c7])).
% 0.48/0.69 cnf(c91,plain,big_p(skolem0001)|~big_p(skolem0002)|big_p(f(skolem0003)),inference(resolution,[status(thm)],[c45, c30])).
% 0.48/0.69 cnf(c101,plain,big_p(skolem0002)|big_p(f(skolem0003))|big_p(skolem0001),inference(resolution,[status(thm)],[c89, c45])).
% 0.48/0.69 cnf(c103,plain,big_p(f(skolem0003))|big_p(skolem0001),inference(resolution,[status(thm)],[c101, c91])).
% 0.48/0.69 cnf(c21,negated_conjecture,~big_p(skolem0001)|big_p(f(skolem0001))|~big_p(skolem0002)|big_p(f(skolem0003)),inference(split_conjunct,[status(thm)],[c7])).
% 0.48/0.69 cnf(c24,negated_conjecture,~big_p(skolem0001)|big_p(f(skolem0001))|~big_p(f(f(skolem0002)))|big_p(f(skolem0003)),inference(split_conjunct,[status(thm)],[c7])).
% 0.48/0.69 cnf(c87,plain,big_p(skolem0002)|~big_p(skolem0001)|big_p(f(skolem0001))|big_p(f(skolem0003)),inference(resolution,[status(thm)],[c45, c24])).
% 0.48/0.69 cnf(c169,plain,big_p(skolem0002)|big_p(f(skolem0001))|big_p(f(skolem0003)),inference(resolution,[status(thm)],[c87, c103])).
% 0.48/0.69 cnf(c180,plain,big_p(f(skolem0001))|big_p(f(skolem0003))|~big_p(skolem0001),inference(resolution,[status(thm)],[c169, c21])).
% 0.48/0.69 cnf(c183,plain,big_p(f(skolem0001))|big_p(f(skolem0003)),inference(resolution,[status(thm)],[c180, c103])).
% 0.48/0.69 cnf(c192,plain,big_p(f(skolem0003))|~big_p(a)|big_p(f(f(skolem0001))),inference(resolution,[status(thm)],[c183, c106])).
% 0.48/0.69 cnf(c194,plain,big_p(f(skolem0003))|big_p(f(f(skolem0001))),inference(resolution,[status(thm)],[c192, c39])).
% 0.48/0.69 cnf(c200,plain,big_p(f(skolem0003))|big_p(skolem0002),inference(resolution,[status(thm)],[c194, c89])).
% 0.48/0.69 cnf(c202,plain,big_p(f(skolem0003))|~big_p(skolem0002),inference(resolution,[status(thm)],[c194, c30])).
% 0.48/0.69 cnf(c209,plain,big_p(f(skolem0003)),inference(resolution,[status(thm)],[c202, c200])).
% 0.48/0.69 cnf(c210,plain,~big_p(a)|big_p(f(f(skolem0003))),inference(resolution,[status(thm)],[c209, c106])).
% 0.48/0.69 cnf(c211,plain,big_p(f(f(skolem0003))),inference(resolution,[status(thm)],[c210, c39])).
% 0.48/0.69 cnf(c215,plain,~big_p(f(f(skolem0001)))|~big_p(skolem0002),inference(resolution,[status(thm)],[c211, c31])).
% 0.48/0.69 cnf(c112,plain,~big_p(a)|big_p(f(f(skolem0003)))|big_p(skolem0001),inference(resolution,[status(thm)],[c106, c103])).
% 0.48/0.69 cnf(c115,plain,big_p(f(f(skolem0003)))|big_p(skolem0001),inference(resolution,[status(thm)],[c112, c39])).
% 0.48/0.69 cnf(c117,plain,big_p(skolem0001)|~big_p(f(f(skolem0001)))|~big_p(skolem0002),inference(resolution,[status(thm)],[c115, c31])).
% 0.48/0.69 cnf(c139,plain,big_p(skolem0001)|~big_p(skolem0002),inference(resolution,[status(thm)],[c117, c45])).
% 0.48/0.69 cnf(c34,negated_conjecture,~big_p(f(f(skolem0001)))|~big_p(f(f(skolem0002)))|~big_p(f(f(skolem0003))),inference(split_conjunct,[status(thm)],[c7])).
% 0.48/0.69 cnf(c219,plain,~big_p(f(f(skolem0001)))|~big_p(f(f(skolem0002))),inference(resolution,[status(thm)],[c211, c34])).
% 0.48/0.69 cnf(c232,plain,~big_p(f(f(skolem0001)))|big_p(skolem0002),inference(resolution,[status(thm)],[c219, c45])).
% 0.48/0.69 cnf(c237,plain,big_p(skolem0002)|big_p(skolem0001),inference(resolution,[status(thm)],[c232, c45])).
% 0.48/0.69 cnf(c242,plain,big_p(skolem0001),inference(resolution,[status(thm)],[c237, c139])).
% 0.48/0.69 cnf(c22,negated_conjecture,~big_p(skolem0001)|big_p(f(skolem0001))|~big_p(skolem0002)|~big_p(f(f(skolem0003))),inference(split_conjunct,[status(thm)],[c7])).
% 0.48/0.69 cnf(c218,plain,~big_p(skolem0001)|big_p(f(skolem0001))|~big_p(skolem0002),inference(resolution,[status(thm)],[c211, c22])).
% 0.48/0.69 cnf(c25,negated_conjecture,~big_p(skolem0001)|big_p(f(skolem0001))|~big_p(f(f(skolem0002)))|~big_p(f(f(skolem0003))),inference(split_conjunct,[status(thm)],[c7])).
% 0.48/0.69 cnf(c216,plain,~big_p(skolem0001)|big_p(f(skolem0001))|~big_p(f(f(skolem0002))),inference(resolution,[status(thm)],[c211, c25])).
% 0.48/0.69 cnf(c255,plain,~big_p(skolem0001)|big_p(f(skolem0001))|big_p(skolem0002),inference(resolution,[status(thm)],[c216, c45])).
% 0.48/0.69 cnf(c259,plain,big_p(f(skolem0001))|big_p(skolem0002),inference(resolution,[status(thm)],[c255, c242])).
% 0.48/0.69 cnf(c264,plain,big_p(f(skolem0001))|~big_p(skolem0001),inference(resolution,[status(thm)],[c259, c218])).
% 0.48/0.69 cnf(c265,plain,big_p(f(skolem0001)),inference(resolution,[status(thm)],[c264, c242])).
% 0.48/0.69 cnf(c269,plain,~big_p(a)|big_p(f(f(skolem0001))),inference(resolution,[status(thm)],[c265, c106])).
% 0.48/0.69 cnf(c270,plain,big_p(f(f(skolem0001))),inference(resolution,[status(thm)],[c269, c39])).
% 0.48/0.69 cnf(c275,plain,~big_p(skolem0002),inference(resolution,[status(thm)],[c270, c215])).
% 0.48/0.69 cnf(c276,plain,big_p(skolem0002),inference(resolution,[status(thm)],[c270, c232])).
% 0.48/0.69 cnf(c280,plain,$false,inference(resolution,[status(thm)],[c276, c275])).
% 0.48/0.69 % SZS output end CNFRefutation
% 0.48/0.69
% 0.48/0.69 % Initial clauses : 31
% 0.48/0.69 % Processed clauses : 70
% 0.48/0.69 % Factors computed : 9
% 0.48/0.69 % Resolvents computed: 233
% 0.48/0.69 % Tautologies deleted: 2
% 0.48/0.69 % Forward subsumed : 52
% 0.48/0.69 % Backward subsumed : 54
% 0.48/0.69 % -------- CPU Time ---------
% 0.48/0.69 % User time : 0.319 s
% 0.48/0.69 % System time : 0.023 s
% 0.48/0.69 % Total time : 0.342 s
%------------------------------------------------------------------------------