TSTP Solution File: SYN978+1 by JavaRes---1.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : JavaRes---1.3.0
% Problem  : SYN978+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 : n008.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 18:31:58 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
    ( ( a
      & b )
   => ( a
    <=> b ) ),
    input ).

fof(f1,negated_conjecture,
    ~ ( ( a
        & b )
     => ( a
      <=> b ) ),
    inference(assume_negation,status(cth),[prove_this]) ).

fof(f4,negated_conjecture,
    ~ ( ( a
        & b )
     => ( a
      <=> b ) ),
    inference(fof_simplification,status(thm),[f1]) ).

fof(f5,negated_conjecture,
    ( a
    & b
    & ( ~ a
      | ~ b )
    & ( a
      | b ) ),
    inference(fof_nnf,status(thm),[f4]) ).

cnf(cnf0,negated_conjecture,
    a,
    inference(split_conjunct,status(thm),[f5]) ).

fof(prove_this_001,conjecture,
    ( ( a
      & b )
   => ( a
    <=> b ) ),
    input ).

fof(f1_002,negated_conjecture,
    ~ ( ( a
        & b )
     => ( a
      <=> b ) ),
    inference(assume_negation,status(cth),[prove_this]) ).

fof(f4_003,negated_conjecture,
    ~ ( ( a
        & b )
     => ( a
      <=> b ) ),
    inference(fof_simplification,status(thm),[f1]) ).

fof(f5_004,negated_conjecture,
    ( a
    & b
    & ( ~ a
      | ~ b )
    & ( a
      | b ) ),
    inference(fof_nnf,status(thm),[f4]) ).

cnf(cnf1,negated_conjecture,
    b,
    inference(split_conjunct,status(thm),[f5]) ).

fof(prove_this_005,conjecture,
    ( ( a
      & b )
   => ( a
    <=> b ) ),
    input ).

fof(f1_006,negated_conjecture,
    ~ ( ( a
        & b )
     => ( a
      <=> b ) ),
    inference(assume_negation,status(cth),[prove_this]) ).

fof(f4_007,negated_conjecture,
    ~ ( ( a
        & b )
     => ( a
      <=> b ) ),
    inference(fof_simplification,status(thm),[f1]) ).

fof(f5_008,negated_conjecture,
    ( a
    & b
    & ( ~ a
      | ~ b )
    & ( a
      | b ) ),
    inference(fof_nnf,status(thm),[f4]) ).

cnf(cnf2,negated_conjecture,
    ( ~ a
    | ~ b ),
    inference(split_conjunct,status(thm),[f5]) ).

cnf(c0,plain,
    ~ a,
    inference(resolution,status(thm),[cnf2,cnf1]) ).

cnf(c1,plain,
    $false,
    inference(resolution,status(thm),[c0,cnf0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN978+1 : TPTP v7.5.0. Released v3.1.0.
% 0.11/0.12  % 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
% 0.13/0.33  % Computer   : n008.cluster.edu
% 0.13/0.33  % Model      : x86_64 x86_64
% 0.13/0.33  % CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % RAMPerCPU  : 8042.1875MB
% 0.13/0.33  % OS         : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 600
% 0.13/0.33  % DateTime   : Thu Mar 10 19:04:32 EST 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.46  # Using default include path : /export/starexec/sandbox2/benchmark
% 0.19/0.47  # INFO in ProverFOF.main(): Processing file /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  # ProverFOF.processTestFile(): filename: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  # 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}
% 0.19/0.47  # ProverFOF.processTestFile(): evals: [Heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval] litSelect: LARGEST indexing: true delTaut: true forSub: true backSub: true]
% 0.19/0.50  # hasConjecture: true isFOF: true
% 0.19/0.50  # ProofState(): heuristics: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 0.19/0.50  # HeuristicsClauseSet using eval functions: PickGiven5 : [SymbolCountEval21, FIFOEval]
% 0.19/0.52  # -----------------
% 0.19/0.52  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52  
% 0.19/0.52  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52  fof(prove_this,conjecture,((a&b)=>(a<=>b)),input).
% 0.19/0.52  fof(f1,negated_conjecture,(~((a&b)=>(a<=>b))),inference(assume_negation, status(cth), [prove_this])).
% 0.19/0.52  fof(f4,negated_conjecture,(~((a&b)=>(a<=>b))),inference(fof_simplification, status(thm), [f1])).
% 0.19/0.52  fof(f5,negated_conjecture,((a&b)&((~a|~b)&(a|b))),inference(fof_nnf, status(thm), [f4])).
% 0.19/0.52  cnf(cnf0,negated_conjecture,a,inference(split_conjunct, status(thm), [f5])).
% 0.19/0.52  fof(prove_this,conjecture,((a&b)=>(a<=>b)),input).
% 0.19/0.52  fof(f1,negated_conjecture,(~((a&b)=>(a<=>b))),inference(assume_negation, status(cth), [prove_this])).
% 0.19/0.52  fof(f4,negated_conjecture,(~((a&b)=>(a<=>b))),inference(fof_simplification, status(thm), [f1])).
% 0.19/0.52  fof(f5,negated_conjecture,((a&b)&((~a|~b)&(a|b))),inference(fof_nnf, status(thm), [f4])).
% 0.19/0.52  cnf(cnf1,negated_conjecture,b,inference(split_conjunct, status(thm), [f5])).
% 0.19/0.52  fof(prove_this,conjecture,((a&b)=>(a<=>b)),input).
% 0.19/0.52  fof(f1,negated_conjecture,(~((a&b)=>(a<=>b))),inference(assume_negation, status(cth), [prove_this])).
% 0.19/0.52  fof(f4,negated_conjecture,(~((a&b)=>(a<=>b))),inference(fof_simplification, status(thm), [f1])).
% 0.19/0.52  fof(f5,negated_conjecture,((a&b)&((~a|~b)&(a|b))),inference(fof_nnf, status(thm), [f4])).
% 0.19/0.52  cnf(cnf2,negated_conjecture,~a|~b,inference(split_conjunct, status(thm), [f5])).
% 0.19/0.52  cnf(c0,plain,~a,inference(resolution, status(thm), [cnf2, cnf1])).
% 0.19/0.52  cnf(c1,plain,$false,inference(resolution, status(thm), [c0, cnf0])).
% 0.19/0.52  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52  # Filename           : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52  # Indexed            : true
% 0.19/0.52  # Eval function name : PickGiven5
% 0.19/0.52  # Initial clauses    : 4
% 0.19/0.52  # Processed clauses  : 4
% 0.19/0.52  # Factors computed   : 0
% 0.19/0.52  # Resolvents computed: 2
% 0.19/0.52  # Tautologies deleted: 0
% 0.19/0.52  # Forward subsumed   : 0
% 0.19/0.52  # Backward subsumed  : 1
% 0.19/0.52  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52  # SZS Expected       : Theorem
% 0.19/0.52  # time               : 14ms
% 0.19/0.52  
%------------------------------------------------------------------------------