TSTP Solution File: SYN084+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SYN084+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 11:25:19 EDT 2022
% Result : Theorem 0.62s 0.87s
% Output : Refutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SYN084+1 : TPTP v8.1.0. Released v2.0.0.
% 0.09/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 12:52:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.62/0.87 # Version: 1.3
% 0.62/0.87 # SZS status Theorem
% 0.62/0.87 # SZS output start CNFRefutation
% 0.62/0.87 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))))))),input).
% 0.62/0.87 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])).
% 0.62/0.87 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])).
% 0.62/0.87 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])).
% 0.62/0.87 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])).
% 0.62/0.87 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])).
% 0.62/0.87 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])).])).
% 0.62/0.87 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])).
% 0.62/0.87 cnf(c8,negated_conjecture,big_p(a)|big_p(a)|big_p(a),inference(split_conjunct,status(thm),[c7])).
% 0.62/0.87 cnf(c39,plain,big_p(a),inference(factor,status(thm),[c8])).
% 0.62/0.87 cnf(c35,negated_conjecture,~big_p(a)|big_p(X9)|big_p(f(f(X9)))|~big_p(a)|big_p(X8)|big_p(f(f(X8))),inference(split_conjunct,status(thm),[c7])).
% 0.62/0.87 cnf(c42,plain,~big_p(a)|big_p(X11)|big_p(f(f(X11)))|big_p(X10)|big_p(f(f(X10))),inference(resolution,status(thm),[c35, c39])).
% 0.62/0.87 cnf(c43,plain,big_p(X12)|big_p(f(f(X12)))|big_p(X13)|big_p(f(f(X13))),inference(resolution,status(thm),[c42, c39])).
% 0.62/0.87 cnf(c44,plain,big_p(X14)|big_p(f(f(X14))),inference(factor,status(thm),[c43])).
% 0.62/0.87 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])).
% 0.62/0.87 cnf(c33,negated_conjecture,~big_p(f(f(skolem0001)))|~big_p(f(f(skolem0002)))|big_p(f(skolem0003)),inference(split_conjunct,status(thm),[c7])).
% 0.62/0.87 cnf(c89,plain,big_p(skolem0002)|~big_p(f(f(skolem0001)))|big_p(f(skolem0003)),inference(resolution,status(thm),[c44, c33])).
% 0.62/0.87 cnf(c30,negated_conjecture,~big_p(f(f(skolem0001)))|~big_p(skolem0002)|big_p(f(skolem0003)),inference(split_conjunct,status(thm),[c7])).
% 0.62/0.87 cnf(c90,plain,big_p(skolem0001)|~big_p(skolem0002)|big_p(f(skolem0003)),inference(resolution,status(thm),[c44, c30])).
% 0.62/0.87 cnf(c99,plain,big_p(skolem0002)|big_p(f(skolem0003))|big_p(skolem0001),inference(resolution,status(thm),[c89, c44])).
% 0.62/0.87 cnf(c102,plain,big_p(f(skolem0003))|big_p(skolem0001),inference(resolution,status(thm),[c99, c90])).
% 0.62/0.87 cnf(c21,negated_conjecture,~big_p(skolem0001)|big_p(f(skolem0001))|~big_p(skolem0002)|big_p(f(skolem0003)),inference(split_conjunct,status(thm),[c7])).
% 0.62/0.87 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])).
% 0.62/0.87 cnf(c88,plain,big_p(skolem0002)|~big_p(skolem0001)|big_p(f(skolem0001))|big_p(f(skolem0003)),inference(resolution,status(thm),[c44, c24])).
% 0.62/0.87 cnf(c119,plain,big_p(skolem0002)|big_p(f(skolem0001))|big_p(f(skolem0003)),inference(resolution,status(thm),[c88, c102])).
% 0.62/0.87 cnf(c120,plain,big_p(f(skolem0001))|big_p(f(skolem0003))|~big_p(skolem0001),inference(resolution,status(thm),[c119, c21])).
% 0.62/0.87 cnf(c126,plain,big_p(f(skolem0001))|big_p(f(skolem0003)),inference(resolution,status(thm),[c120, c102])).
% 0.62/0.87 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])).
% 0.62/0.87 cnf(c127,plain,big_p(f(skolem0003))|~big_p(a)|~big_p(f(X72))|big_p(f(f(X72)))|big_p(f(f(skolem0001))),inference(resolution,status(thm),[c126, c38])).
% 0.62/0.87 cnf(c349,plain,big_p(f(skolem0003))|~big_p(a)|big_p(f(f(skolem0001))),inference(resolution,status(thm),[c127, c126])).
% 0.62/0.87 cnf(c361,plain,big_p(f(skolem0003))|big_p(f(f(skolem0001))),inference(resolution,status(thm),[c349, c39])).
% 0.62/0.87 cnf(c364,plain,big_p(f(skolem0003))|big_p(skolem0002),inference(resolution,status(thm),[c361, c89])).
% 0.62/0.87 cnf(c371,plain,big_p(f(skolem0003))|~big_p(skolem0002),inference(resolution,status(thm),[c361, c30])).
% 0.62/0.87 cnf(c376,plain,big_p(f(skolem0003)),inference(resolution,status(thm),[c371, c364])).
% 0.62/0.87 cnf(c379,plain,~big_p(a)|~big_p(f(X81))|big_p(f(f(X81)))|big_p(f(f(skolem0003))),inference(resolution,status(thm),[c376, c38])).
% 0.62/0.87 cnf(c453,plain,~big_p(a)|big_p(f(f(skolem0003))),inference(resolution,status(thm),[c379, c376])).
% 0.62/0.87 cnf(c461,plain,big_p(f(f(skolem0003))),inference(resolution,status(thm),[c453, c39])).
% 0.62/0.87 cnf(c462,plain,~big_p(f(f(skolem0001)))|~big_p(f(f(skolem0002))),inference(resolution,status(thm),[c461, c34])).
% 0.62/0.87 cnf(c469,plain,~big_p(f(f(skolem0001)))|big_p(skolem0002),inference(resolution,status(thm),[c462, c44])).
% 0.62/0.87 cnf(c31,negated_conjecture,~big_p(f(f(skolem0001)))|~big_p(skolem0002)|~big_p(f(f(skolem0003))),inference(split_conjunct,status(thm),[c7])).
% 0.62/0.87 cnf(c108,plain,~big_p(a)|~big_p(f(X44))|big_p(f(f(X44)))|big_p(f(f(skolem0003)))|big_p(skolem0001),inference(resolution,status(thm),[c38, c102])).
% 0.62/0.87 cnf(c187,plain,~big_p(a)|big_p(f(f(skolem0003)))|big_p(skolem0001),inference(resolution,status(thm),[c108, c102])).
% 0.62/0.87 cnf(c194,plain,big_p(f(f(skolem0003)))|big_p(skolem0001),inference(resolution,status(thm),[c187, c39])).
% 0.62/0.87 cnf(c197,plain,big_p(skolem0001)|~big_p(f(f(skolem0001)))|~big_p(skolem0002),inference(resolution,status(thm),[c194, c31])).
% 0.62/0.87 cnf(c201,plain,big_p(skolem0001)|~big_p(skolem0002),inference(resolution,status(thm),[c197, c44])).
% 0.62/0.87 cnf(c203,plain,big_p(skolem0001)|big_p(f(f(skolem0002))),inference(resolution,status(thm),[c201, c44])).
% 0.62/0.87 cnf(c195,plain,big_p(skolem0001)|~big_p(f(f(skolem0001)))|~big_p(f(f(skolem0002))),inference(resolution,status(thm),[c194, c34])).
% 0.62/0.87 cnf(c209,plain,big_p(skolem0001)|~big_p(f(f(skolem0001))),inference(resolution,status(thm),[c195, c203])).
% 0.62/0.87 cnf(c212,plain,big_p(skolem0001),inference(resolution,status(thm),[c209, c44])).
% 0.62/0.87 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])).
% 0.62/0.87 cnf(c128,plain,big_p(f(skolem0001))|~big_p(a)|~big_p(f(X76))|big_p(f(f(X76)))|big_p(f(f(skolem0003))),inference(resolution,status(thm),[c126, c38])).
% 0.62/0.87 cnf(c404,plain,big_p(f(skolem0001))|~big_p(a)|big_p(f(f(skolem0003))),inference(resolution,status(thm),[c128, c376])).
% 0.62/0.87 cnf(c415,plain,big_p(f(skolem0001))|big_p(f(f(skolem0003))),inference(resolution,status(thm),[c404, c39])).
% 0.62/0.87 cnf(c419,plain,big_p(f(skolem0001))|~big_p(skolem0001)|~big_p(skolem0002),inference(resolution,status(thm),[c415, c22])).
% 0.62/0.87 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])).
% 0.62/0.87 cnf(c421,plain,big_p(f(skolem0001))|~big_p(skolem0001)|~big_p(f(f(skolem0002))),inference(resolution,status(thm),[c415, c25])).
% 0.62/0.87 cnf(c429,plain,big_p(f(skolem0001))|~big_p(skolem0001)|big_p(skolem0002),inference(resolution,status(thm),[c421, c44])).
% 0.62/0.87 cnf(c432,plain,big_p(f(skolem0001))|big_p(skolem0002),inference(resolution,status(thm),[c429, c212])).
% 0.62/0.87 cnf(c437,plain,big_p(f(skolem0001))|~big_p(skolem0001),inference(resolution,status(thm),[c432, c419])).
% 0.62/0.87 cnf(c438,plain,big_p(f(skolem0001)),inference(resolution,status(thm),[c437, c212])).
% 0.62/0.87 cnf(c441,plain,~big_p(a)|~big_p(f(X87))|big_p(f(f(X87)))|big_p(f(f(skolem0001))),inference(resolution,status(thm),[c438, c38])).
% 0.62/0.87 cnf(c499,plain,~big_p(a)|big_p(f(f(skolem0001))),inference(resolution,status(thm),[c441, c438])).
% 0.62/0.87 cnf(c506,plain,big_p(f(f(skolem0001))),inference(resolution,status(thm),[c499, c39])).
% 0.62/0.87 cnf(c508,plain,big_p(skolem0002),inference(resolution,status(thm),[c506, c469])).
% 0.62/0.87 cnf(c463,plain,~big_p(f(f(skolem0001)))|~big_p(skolem0002),inference(resolution,status(thm),[c461, c31])).
% 0.62/0.87 cnf(c509,plain,~big_p(skolem0002),inference(resolution,status(thm),[c506, c463])).
% 0.62/0.87 cnf(c513,plain,$false,inference(resolution,status(thm),[c509, c508])).
% 0.62/0.87 # SZS output end CNFRefutation
% 0.62/0.87
% 0.62/0.87 # Initial clauses : 31
% 0.62/0.87 # Processed clauses : 125
% 0.62/0.87 # Factors computed : 11
% 0.62/0.87 # Resolvents computed: 466
% 0.62/0.87 # Tautologies deleted: 9
% 0.62/0.87 # Forward subsumed : 160
% 0.62/0.87 # Backward subsumed : 107
% 0.62/0.87 # -------- CPU Time ---------
% 0.62/0.87 # User time : 0.513 s
% 0.62/0.87 # System time : 0.014 s
% 0.62/0.87 # Total time : 0.527 s
%------------------------------------------------------------------------------