TSTP Solution File: SYN922+1 by JavaRes---1.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : JavaRes---1.3.0
% Problem  : SYN922+1 : TPTP v7.5.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xmx15G -cp /export/starexec/sandbox2/solver/bin atp.ProverFOF -i /export/starexec/sandbox2/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s

% Computer : n007.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 : Mon Mar 28 18:31:48 EDT 2022

% Result   : Theorem 0.18s 0.56s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN922+1 : TPTP v7.5.0. Released v3.1.0.
% 0.11/0.13  % Command    : java -Xmx15G -cp /export/starexec/sandbox2/solver/bin atp.ProverFOF -i /export/starexec/sandbox2/benchmark --eqax --proof --forward-subsumption --backward_subsumption --delete-tautologies --timeout 0 %s
% 0.12/0.33  % Computer   : n007.cluster.edu
% 0.12/0.33  % Model      : x86_64 x86_64
% 0.12/0.33  % CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % RAMPerCPU  : 8042.1875MB
% 0.12/0.33  % 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   : Thu Mar 10 17:12:59 EST 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.46  # Using default include path : /export/starexec/sandbox2/benchmark
% 0.18/0.47  # INFO in ProverFOF.main(): Processing file /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47  # ProverFOF.processTestFile(): filename: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47  # ProverFOF.processTestFile(): opts: {backward_subsumption=true, delete-tautologies=true, filename=/export/starexec/sandbox2/benchmark/theBenchmark.p, forward-subsumption=true, proof=true, eqax=true, timeout=0}
% 0.18/0.47  # ProverFOF.processTestFile(): evals: [Heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval] litSelect: LARGEST indexing: true delTaut: true forSub: true backSub: true]
% 0.18/0.52  # hasConjecture: true isFOF: true
% 0.18/0.52  # ProofState(): heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 0.18/0.52  # HeuristicsClauseSet using eval functions: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 0.18/0.56  # -----------------
% 0.18/0.56  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.56  
% 0.18/0.56  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.56  fof(prove_this,conjecture,((![X]:(p(X)&q(X)))<=>((![X]:p(X))&(![X]:q(X)))),input).
% 0.18/0.56  fof(f1,negated_conjecture,(~((![X]:(p(X)&q(X)))<=>((![X]:p(X))&(![X]:q(X))))),inference(assume_negation, status(cth), [prove_this])).
% 0.18/0.56  fof(f4,negated_conjecture,(~((![X]:(p(X)&q(X)))<=>((![X]:p(X))&(![X]:q(X))))),inference(fof_simplification, status(thm), [f1])).
% 0.18/0.56  fof(f5,negated_conjecture,(((?[X]:(~p(X)|~q(X)))|((?[X]:~p(X))|(?[X]:~q(X))))&((![X]:(p(X)&q(X)))|((![X]:p(X))&(![X]:q(X))))),inference(fof_nnf, status(thm), [f4])).
% 0.18/0.56  fof(f6,negated_conjecture,(((?[VAR0]:(~p(VAR0)|~q(VAR0)))|((?[VAR1]:~p(VAR1))|(?[VAR2]:~q(VAR2))))&((![VAR3]:(p(VAR3)&q(VAR3)))|((![VAR4]:p(VAR4))&(![VAR5]:q(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 0.18/0.56  fof(f7,negated_conjecture,(((~p(skf6)|~q(skf6))|(~p(skf7)|~q(skf8)))&((![VAR3]:(p(VAR3)&q(VAR3)))|((![VAR4]:p(VAR4))&(![VAR5]:q(VAR5))))),inference(skolemize, status(esa), [f6])).
% 0.18/0.56  fof(f8,negated_conjecture,(((~p(skf6)|~q(skf6))|(~p(skf7)|~q(skf8)))&((p(VAR3)&q(VAR3))|(p(VAR4)&q(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 0.18/0.56  fof(f9,negated_conjecture,(((~p(skf6)|~q(skf6))|(~p(skf7)|~q(skf8)))&(((p(VAR3)|p(VAR4))&(p(VAR3)|q(VAR5)))&((q(VAR3)|p(VAR4))&(q(VAR3)|q(VAR5))))),inference(distribute, status(thm), [f8])).
% 0.18/0.56  cnf(cnf1,negated_conjecture,p(X1)|p(X2),inference(split_conjunct, status(thm), [f9])).
% 0.18/0.56  cnf(c0,plain,p(X3),inference(factor, status(thm), [cnf1])).
% 0.18/0.56  fof(prove_this,conjecture,((![X]:(p(X)&q(X)))<=>((![X]:p(X))&(![X]:q(X)))),input).
% 0.18/0.56  fof(f1,negated_conjecture,(~((![X]:(p(X)&q(X)))<=>((![X]:p(X))&(![X]:q(X))))),inference(assume_negation, status(cth), [prove_this])).
% 0.18/0.56  fof(f4,negated_conjecture,(~((![X]:(p(X)&q(X)))<=>((![X]:p(X))&(![X]:q(X))))),inference(fof_simplification, status(thm), [f1])).
% 0.18/0.56  fof(f5,negated_conjecture,(((?[X]:(~p(X)|~q(X)))|((?[X]:~p(X))|(?[X]:~q(X))))&((![X]:(p(X)&q(X)))|((![X]:p(X))&(![X]:q(X))))),inference(fof_nnf, status(thm), [f4])).
% 0.18/0.56  fof(f6,negated_conjecture,(((?[VAR0]:(~p(VAR0)|~q(VAR0)))|((?[VAR1]:~p(VAR1))|(?[VAR2]:~q(VAR2))))&((![VAR3]:(p(VAR3)&q(VAR3)))|((![VAR4]:p(VAR4))&(![VAR5]:q(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 0.18/0.56  fof(f7,negated_conjecture,(((~p(skf6)|~q(skf6))|(~p(skf7)|~q(skf8)))&((![VAR3]:(p(VAR3)&q(VAR3)))|((![VAR4]:p(VAR4))&(![VAR5]:q(VAR5))))),inference(skolemize, status(esa), [f6])).
% 0.18/0.56  fof(f8,negated_conjecture,(((~p(skf6)|~q(skf6))|(~p(skf7)|~q(skf8)))&((p(VAR3)&q(VAR3))|(p(VAR4)&q(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 0.18/0.56  fof(f9,negated_conjecture,(((~p(skf6)|~q(skf6))|(~p(skf7)|~q(skf8)))&(((p(VAR3)|p(VAR4))&(p(VAR3)|q(VAR5)))&((q(VAR3)|p(VAR4))&(q(VAR3)|q(VAR5))))),inference(distribute, status(thm), [f8])).
% 0.18/0.56  cnf(cnf4,negated_conjecture,q(X8)|q(X9),inference(split_conjunct, status(thm), [f9])).
% 0.18/0.56  cnf(c1,plain,q(X10),inference(factor, status(thm), [cnf4])).
% 0.18/0.56  fof(prove_this,conjecture,((![X]:(p(X)&q(X)))<=>((![X]:p(X))&(![X]:q(X)))),input).
% 0.18/0.56  fof(f1,negated_conjecture,(~((![X]:(p(X)&q(X)))<=>((![X]:p(X))&(![X]:q(X))))),inference(assume_negation, status(cth), [prove_this])).
% 0.18/0.56  fof(f4,negated_conjecture,(~((![X]:(p(X)&q(X)))<=>((![X]:p(X))&(![X]:q(X))))),inference(fof_simplification, status(thm), [f1])).
% 0.18/0.56  fof(f5,negated_conjecture,(((?[X]:(~p(X)|~q(X)))|((?[X]:~p(X))|(?[X]:~q(X))))&((![X]:(p(X)&q(X)))|((![X]:p(X))&(![X]:q(X))))),inference(fof_nnf, status(thm), [f4])).
% 0.18/0.56  fof(f6,negated_conjecture,(((?[VAR0]:(~p(VAR0)|~q(VAR0)))|((?[VAR1]:~p(VAR1))|(?[VAR2]:~q(VAR2))))&((![VAR3]:(p(VAR3)&q(VAR3)))|((![VAR4]:p(VAR4))&(![VAR5]:q(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 0.18/0.56  fof(f7,negated_conjecture,(((~p(skf6)|~q(skf6))|(~p(skf7)|~q(skf8)))&((![VAR3]:(p(VAR3)&q(VAR3)))|((![VAR4]:p(VAR4))&(![VAR5]:q(VAR5))))),inference(skolemize, status(esa), [f6])).
% 0.18/0.56  fof(f8,negated_conjecture,(((~p(skf6)|~q(skf6))|(~p(skf7)|~q(skf8)))&((p(VAR3)&q(VAR3))|(p(VAR4)&q(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 0.18/0.56  fof(f9,negated_conjecture,(((~p(skf6)|~q(skf6))|(~p(skf7)|~q(skf8)))&(((p(VAR3)|p(VAR4))&(p(VAR3)|q(VAR5)))&((q(VAR3)|p(VAR4))&(q(VAR3)|q(VAR5))))),inference(distribute, status(thm), [f8])).
% 0.18/0.56  cnf(cnf1,negated_conjecture,p(X1)|p(X2),inference(split_conjunct, status(thm), [f9])).
% 0.18/0.56  cnf(c0,plain,p(X3),inference(factor, status(thm), [cnf1])).
% 0.18/0.56  fof(prove_this,conjecture,((![X]:(p(X)&q(X)))<=>((![X]:p(X))&(![X]:q(X)))),input).
% 0.18/0.56  fof(f1,negated_conjecture,(~((![X]:(p(X)&q(X)))<=>((![X]:p(X))&(![X]:q(X))))),inference(assume_negation, status(cth), [prove_this])).
% 0.18/0.56  fof(f4,negated_conjecture,(~((![X]:(p(X)&q(X)))<=>((![X]:p(X))&(![X]:q(X))))),inference(fof_simplification, status(thm), [f1])).
% 0.18/0.56  fof(f5,negated_conjecture,(((?[X]:(~p(X)|~q(X)))|((?[X]:~p(X))|(?[X]:~q(X))))&((![X]:(p(X)&q(X)))|((![X]:p(X))&(![X]:q(X))))),inference(fof_nnf, status(thm), [f4])).
% 0.18/0.56  fof(f6,negated_conjecture,(((?[VAR0]:(~p(VAR0)|~q(VAR0)))|((?[VAR1]:~p(VAR1))|(?[VAR2]:~q(VAR2))))&((![VAR3]:(p(VAR3)&q(VAR3)))|((![VAR4]:p(VAR4))&(![VAR5]:q(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 0.18/0.56  fof(f7,negated_conjecture,(((~p(skf6)|~q(skf6))|(~p(skf7)|~q(skf8)))&((![VAR3]:(p(VAR3)&q(VAR3)))|((![VAR4]:p(VAR4))&(![VAR5]:q(VAR5))))),inference(skolemize, status(esa), [f6])).
% 0.18/0.56  fof(f8,negated_conjecture,(((~p(skf6)|~q(skf6))|(~p(skf7)|~q(skf8)))&((p(VAR3)&q(VAR3))|(p(VAR4)&q(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 0.18/0.56  fof(f9,negated_conjecture,(((~p(skf6)|~q(skf6))|(~p(skf7)|~q(skf8)))&(((p(VAR3)|p(VAR4))&(p(VAR3)|q(VAR5)))&((q(VAR3)|p(VAR4))&(q(VAR3)|q(VAR5))))),inference(distribute, status(thm), [f8])).
% 0.18/0.56  cnf(cnf0,negated_conjecture,~p(skf6)|~q(skf6)|~p(skf7)|~q(skf8),inference(split_conjunct, status(thm), [f9])).
% 0.18/0.56  fof(prove_this,conjecture,((![X]:(p(X)&q(X)))<=>((![X]:p(X))&(![X]:q(X)))),input).
% 0.18/0.56  fof(f1,negated_conjecture,(~((![X]:(p(X)&q(X)))<=>((![X]:p(X))&(![X]:q(X))))),inference(assume_negation, status(cth), [prove_this])).
% 0.18/0.56  fof(f4,negated_conjecture,(~((![X]:(p(X)&q(X)))<=>((![X]:p(X))&(![X]:q(X))))),inference(fof_simplification, status(thm), [f1])).
% 0.18/0.56  fof(f5,negated_conjecture,(((?[X]:(~p(X)|~q(X)))|((?[X]:~p(X))|(?[X]:~q(X))))&((![X]:(p(X)&q(X)))|((![X]:p(X))&(![X]:q(X))))),inference(fof_nnf, status(thm), [f4])).
% 0.18/0.56  fof(f6,negated_conjecture,(((?[VAR0]:(~p(VAR0)|~q(VAR0)))|((?[VAR1]:~p(VAR1))|(?[VAR2]:~q(VAR2))))&((![VAR3]:(p(VAR3)&q(VAR3)))|((![VAR4]:p(VAR4))&(![VAR5]:q(VAR5))))),inference(variable_rename, status(thm), [f5])).
% 0.18/0.56  fof(f7,negated_conjecture,(((~p(skf6)|~q(skf6))|(~p(skf7)|~q(skf8)))&((![VAR3]:(p(VAR3)&q(VAR3)))|((![VAR4]:p(VAR4))&(![VAR5]:q(VAR5))))),inference(skolemize, status(esa), [f6])).
% 0.18/0.56  fof(f8,negated_conjecture,(((~p(skf6)|~q(skf6))|(~p(skf7)|~q(skf8)))&((p(VAR3)&q(VAR3))|(p(VAR4)&q(VAR5)))),inference(shift_quantors, status(thm), [f7])).
% 0.18/0.56  fof(f9,negated_conjecture,(((~p(skf6)|~q(skf6))|(~p(skf7)|~q(skf8)))&(((p(VAR3)|p(VAR4))&(p(VAR3)|q(VAR5)))&((q(VAR3)|p(VAR4))&(q(VAR3)|q(VAR5))))),inference(distribute, status(thm), [f8])).
% 0.18/0.56  cnf(cnf4,negated_conjecture,q(X8)|q(X9),inference(split_conjunct, status(thm), [f9])).
% 0.18/0.56  cnf(c1,plain,q(X10),inference(factor, status(thm), [cnf4])).
% 0.18/0.56  cnf(c4,plain,~p(skf6)|~q(skf6)|~p(skf7),inference(resolution, status(thm), [c1, cnf0])).
% 0.18/0.56  cnf(c5,plain,~p(skf6)|~q(skf6),inference(resolution, status(thm), [c4, c0])).
% 0.18/0.56  cnf(c8,plain,~p(skf6),inference(resolution, status(thm), [c5, c1])).
% 0.18/0.56  cnf(c9,plain,$false,inference(resolution, status(thm), [c8, c0])).
% 0.18/0.56  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.56  # Filename           : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.56  # Indexed            : true
% 0.18/0.56  # Eval function name : PickGiven5
% 0.18/0.56  # Initial clauses    : 5
% 0.18/0.56  # Processed clauses  : 8
% 0.18/0.56  # Factors computed   : 2
% 0.18/0.56  # Resolvents computed: 8
% 0.18/0.56  # Tautologies deleted: 0
% 0.18/0.56  # Forward subsumed   : 2
% 0.18/0.56  # Backward subsumed  : 8
% 0.18/0.56  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.56  # SZS Expected       : Theorem
% 0.18/0.56  # time               : 37ms
% 0.18/0.56  
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