TSTP Solution File: SYN056+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SYN056+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 11:24:55 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN056+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n010.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 21:57:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.52 # Version: 1.3
% 0.18/0.52 # SZS status Theorem
% 0.18/0.52 # SZS output start CNFRefutation
% 0.18/0.52 fof(pel26,conjecture,((![X]:(big_p(X)=>big_r(X)))<=>(![Y]:(big_q(Y)=>big_s(Y)))),input).
% 0.18/0.52 fof(c0,negated_conjecture,(~((![X]:(big_p(X)=>big_r(X)))<=>(![Y]:(big_q(Y)=>big_s(Y))))),inference(assume_negation,status(cth),[pel26])).
% 0.18/0.52 fof(c1,negated_conjecture,(((?[X]:(big_p(X)&~big_r(X)))|(?[Y]:(big_q(Y)&~big_s(Y))))&((![X]:(~big_p(X)|big_r(X)))|(![Y]:(~big_q(Y)|big_s(Y))))),inference(fof_nnf,status(thm),[c0])).
% 0.18/0.52 fof(c2,negated_conjecture,(((?[X2]:(big_p(X2)&~big_r(X2)))|(?[X3]:(big_q(X3)&~big_s(X3))))&((![X4]:(~big_p(X4)|big_r(X4)))|(![X5]:(~big_q(X5)|big_s(X5))))),inference(variable_rename,status(thm),[c1])).
% 0.18/0.52 fof(c4,negated_conjecture,(![X4]:(![X5]:(((big_p(skolem0001)&~big_r(skolem0001))|(big_q(skolem0002)&~big_s(skolem0002)))&((~big_p(X4)|big_r(X4))|(~big_q(X5)|big_s(X5)))))),inference(shift_quantors,status(thm),[fof(c3,negated_conjecture,(((big_p(skolem0001)&~big_r(skolem0001))|(big_q(skolem0002)&~big_s(skolem0002)))&((![X4]:(~big_p(X4)|big_r(X4)))|(![X5]:(~big_q(X5)|big_s(X5))))),inference(skolemize,status(esa),[c2])).])).
% 0.18/0.52 fof(c5,negated_conjecture,(![X4]:(![X5]:((((big_p(skolem0001)|big_q(skolem0002))&(big_p(skolem0001)|~big_s(skolem0002)))&((~big_r(skolem0001)|big_q(skolem0002))&(~big_r(skolem0001)|~big_s(skolem0002))))&((~big_p(X4)|big_r(X4))|(~big_q(X5)|big_s(X5)))))),inference(distribute,status(thm),[c4])).
% 0.18/0.52 cnf(c9,negated_conjecture,~big_r(skolem0001)|~big_s(skolem0002),inference(split_conjunct,status(thm),[c5])).
% 0.18/0.52 fof(pel26_1,axiom,((?[X]:big_p(X))<=>(?[Y]:big_q(Y))),input).
% 0.18/0.52 fof(c16,axiom,(((![X]:~big_p(X))|(?[Y]:big_q(Y)))&((![Y]:~big_q(Y))|(?[X]:big_p(X)))),inference(fof_nnf,status(thm),[pel26_1])).
% 0.18/0.52 fof(c17,axiom,(((![X8]:~big_p(X8))|(?[X9]:big_q(X9)))&((![X10]:~big_q(X10))|(?[X11]:big_p(X11)))),inference(variable_rename,status(thm),[c16])).
% 0.18/0.52 fof(c19,axiom,(![X8]:(![X10]:((~big_p(X8)|big_q(skolem0003))&(~big_q(X10)|big_p(skolem0004))))),inference(shift_quantors,status(thm),[fof(c18,axiom,(((![X8]:~big_p(X8))|big_q(skolem0003))&((![X10]:~big_q(X10))|big_p(skolem0004))),inference(skolemize,status(esa),[c17])).])).
% 0.18/0.52 cnf(c21,axiom,~big_q(X13)|big_p(skolem0004),inference(split_conjunct,status(thm),[c19])).
% 0.18/0.52 cnf(c20,axiom,~big_p(X12)|big_q(skolem0003),inference(split_conjunct,status(thm),[c19])).
% 0.18/0.52 cnf(c6,negated_conjecture,big_p(skolem0001)|big_q(skolem0002),inference(split_conjunct,status(thm),[c5])).
% 0.18/0.52 cnf(c22,plain,big_q(skolem0002)|big_q(skolem0003),inference(resolution,status(thm),[c6, c20])).
% 0.18/0.52 cnf(c24,plain,big_q(skolem0003)|big_p(skolem0004),inference(resolution,status(thm),[c22, c21])).
% 0.18/0.52 cnf(c28,plain,big_p(skolem0004),inference(resolution,status(thm),[c24, c21])).
% 0.18/0.52 cnf(c8,negated_conjecture,~big_r(skolem0001)|big_q(skolem0002),inference(split_conjunct,status(thm),[c5])).
% 0.18/0.52 cnf(c29,plain,big_q(skolem0003),inference(resolution,status(thm),[c24, c20])).
% 0.18/0.52 fof(pel26_2,axiom,(![X]:(![Y]:((big_p(X)&big_q(Y))=>(big_r(X)<=>big_s(Y))))),input).
% 0.18/0.52 fof(c11,axiom,(![X]:(![Y]:((~big_p(X)|~big_q(Y))|((~big_r(X)|big_s(Y))&(~big_s(Y)|big_r(X)))))),inference(fof_nnf,status(thm),[pel26_2])).
% 0.18/0.52 fof(c12,axiom,(![X6]:(![X7]:((~big_p(X6)|~big_q(X7))|((~big_r(X6)|big_s(X7))&(~big_s(X7)|big_r(X6)))))),inference(variable_rename,status(thm),[c11])).
% 0.18/0.52 fof(c13,axiom,(![X6]:(![X7]:(((~big_p(X6)|~big_q(X7))|(~big_r(X6)|big_s(X7)))&((~big_p(X6)|~big_q(X7))|(~big_s(X7)|big_r(X6)))))),inference(distribute,status(thm),[c12])).
% 0.18/0.52 cnf(c15,axiom,~big_p(X19)|~big_q(X20)|~big_s(X20)|big_r(X19),inference(split_conjunct,status(thm),[c13])).
% 0.18/0.52 cnf(c14,axiom,~big_p(X17)|~big_q(X18)|~big_r(X17)|big_s(X18),inference(split_conjunct,status(thm),[c13])).
% 0.18/0.52 cnf(c10,negated_conjecture,~big_p(X15)|big_r(X15)|~big_q(X14)|big_s(X14),inference(split_conjunct,status(thm),[c5])).
% 0.18/0.52 cnf(c31,plain,~big_p(X16)|big_r(X16)|big_s(skolem0003),inference(resolution,status(thm),[c10, c29])).
% 0.18/0.52 cnf(c34,plain,big_r(skolem0004)|big_s(skolem0003),inference(resolution,status(thm),[c31, c28])).
% 0.18/0.52 cnf(c35,plain,big_s(skolem0003)|~big_p(skolem0004)|~big_q(X22)|big_s(X22),inference(resolution,status(thm),[c34, c14])).
% 0.18/0.52 cnf(c45,plain,big_s(skolem0003)|~big_p(skolem0004),inference(resolution,status(thm),[c35, c29])).
% 0.18/0.52 cnf(c48,plain,big_s(skolem0003),inference(resolution,status(thm),[c45, c28])).
% 0.18/0.52 cnf(c49,plain,~big_p(X23)|~big_q(skolem0003)|big_r(X23),inference(resolution,status(thm),[c48, c15])).
% 0.18/0.52 cnf(c50,plain,~big_p(X24)|big_r(X24),inference(resolution,status(thm),[c49, c29])).
% 0.18/0.52 cnf(c51,plain,big_r(skolem0001)|big_q(skolem0002),inference(resolution,status(thm),[c50, c6])).
% 0.18/0.52 cnf(c54,plain,big_q(skolem0002),inference(resolution,status(thm),[c51, c8])).
% 0.18/0.52 cnf(c52,plain,big_r(skolem0004),inference(resolution,status(thm),[c50, c28])).
% 0.18/0.52 cnf(c53,plain,~big_p(skolem0004)|~big_q(X26)|big_s(X26),inference(resolution,status(thm),[c52, c14])).
% 0.18/0.52 cnf(c57,plain,~big_p(skolem0004)|big_s(skolem0002),inference(resolution,status(thm),[c53, c54])).
% 0.18/0.52 cnf(c58,plain,big_s(skolem0002),inference(resolution,status(thm),[c57, c28])).
% 0.18/0.52 cnf(c60,plain,~big_r(skolem0001),inference(resolution,status(thm),[c58, c9])).
% 0.18/0.52 cnf(c7,negated_conjecture,big_p(skolem0001)|~big_s(skolem0002),inference(split_conjunct,status(thm),[c5])).
% 0.18/0.52 cnf(c59,plain,big_p(skolem0001),inference(resolution,status(thm),[c58, c7])).
% 0.18/0.52 cnf(c61,plain,big_r(skolem0001),inference(resolution,status(thm),[c59, c50])).
% 0.18/0.52 cnf(c62,plain,$false,inference(resolution,status(thm),[c61, c60])).
% 0.18/0.52 # SZS output end CNFRefutation
% 0.18/0.52
% 0.18/0.52 # Initial clauses : 9
% 0.18/0.52 # Processed clauses : 33
% 0.18/0.52 # Factors computed : 0
% 0.18/0.52 # Resolvents computed: 42
% 0.18/0.52 # Tautologies deleted: 0
% 0.18/0.52 # Forward subsumed : 7
% 0.18/0.52 # Backward subsumed : 21
% 0.18/0.52 # -------- CPU Time ---------
% 0.18/0.52 # User time : 0.156 s
% 0.18/0.52 # System time : 0.023 s
% 0.18/0.52 # Total time : 0.180 s
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