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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SEV672+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n025.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 : Tue May  5 05:15:55 PM UTC 2026

% Result   : Theorem 12.07s 9.47s
% Output   : CNFRefutation 12.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    6 (   6 unt;   0 def)
%            Number of atoms       :    6 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('_HAMMER_GOAL',conjecture,
    cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).

fof('Stlc.STLC.step_example1',axiom,
    cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Stlc.STLC.step_example1') ).

fof(c_0_2,negated_conjecture,
    ~ cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['_HAMMER_GOAL'])]) ).

cnf(c_0_3,plain,
    cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
    inference(split_conjunct,[status(thm)],['Stlc.STLC.step_example1']) ).

cnf(c_0_4,negated_conjecture,
    ~ cPLF_2eSmallstep_2emulti___24a4(cStlc_2eSTLC_2etm,cStlc_2eSTLC_2estep,cStlc_2eSTLC_2eapp___24a2(cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eArrow___24a2(cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2eBool),cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex)),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),cStlc_2eSTLC_2eabs___24a3(cStlc_2eSTLC_2ex,cStlc_2eSTLC_2eBool,cStlc_2eSTLC_2evar___24a1(cStlc_2eSTLC_2ex))),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,plain,
    $false,
    inference(sr,[status(thm)],[c_0_3,c_0_4]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SEV672+1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.13  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34  % Computer : n025.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Tue May  5 04:06:13 EDT 2026
% 0.15/0.34  % CPUTime    : 
% 0.18/0.35  % start to proof: theBenchmark
% 12.07/9.47  % Version  : CSE_E---1.7
% 12.07/9.47  % Problem  : theBenchmark.p
% 12.07/9.47  % SZS status Theorem for theBenchmark.p
% 12.07/9.47  % SZS output start CNFRefutation
% See solution above
% 12.16/9.51  % Total time : 7.518s
%------------------------------------------------------------------------------