↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : RNG079+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:38:45 PM UTC 2026

% Result   : Theorem 17.42s 3.26s
% Output   : CNFRefutation 17.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   48 (  21 unt;   0 def)
%            Number of atoms       :  110 (  45 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  118 (  56   ~;  52   |;   9   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  10 con; 0-2 aty)
%            Number of variables   :   42 (   0 sgn  42   !;   0   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f16,axiom,
    ! [X0,X1,X2,X3] :
      ( ( aScalar0(X3)
        & aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr2) ).

fof(f46,axiom,
    ( xC = sdtasasdt0(xp,xp)
    & aScalar0(xC) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).

fof(f47,axiom,
    ( xD = sdtasasdt0(xq,xq)
    & aScalar0(xD) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).

fof(f48,axiom,
    ( xE = sdtasasdt0(xp,xq)
    & aScalar0(xE) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).

fof(f49,axiom,
    ( xF = sdtasdt0(xA,xA)
    & aScalar0(xF) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).

fof(f50,axiom,
    ( xG = sdtasdt0(xB,xB)
    & aScalar0(xG) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).

fof(f51,axiom,
    ( xH = sdtasdt0(xA,xB)
    & aScalar0(xH) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).

fof(f60,axiom,
    sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2905) ).

fof(f61,conjecture,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f62,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    inference(negated_conjecture,[status(cth)],[f61]) ).

fof(f68,plain,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    inference(flattening,[],[f62]) ).

fof(f85,plain,
    ! [X0,X1,X2,X3] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f86,plain,
    ! [X0,X1,X2,X3] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
    inference(flattening,[],[f85]) ).

fof(f153,plain,
    ! [X2,X3,X0,X1] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0)
      | sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f193,plain,
    aScalar0(xC),
    inference(cnf_transformation,[],[f46]) ).

fof(f195,plain,
    aScalar0(xD),
    inference(cnf_transformation,[],[f47]) ).

fof(f197,plain,
    aScalar0(xE),
    inference(cnf_transformation,[],[f48]) ).

fof(f199,plain,
    aScalar0(xF),
    inference(cnf_transformation,[],[f49]) ).

fof(f201,plain,
    aScalar0(xG),
    inference(cnf_transformation,[],[f50]) ).

fof(f203,plain,
    aScalar0(xH),
    inference(cnf_transformation,[],[f51]) ).

fof(f216,plain,
    sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
    inference(cnf_transformation,[],[f60]) ).

fof(f217,plain,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_113,plain,
    aScalar0(xC),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_115,plain,
    aScalar0(xD),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_117,plain,
    aScalar0(xE),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_119,plain,
    aScalar0(xF),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_121,plain,
    aScalar0(xG),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_123,plain,
    aScalar0(xH),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_137,plain,
    sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_138,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_1185,plain,
    ! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X2_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X3_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
      ( ( sdtpldt0(sdtpldt0(sdtasdt0(X0_iProver_sdtlseqdt0_2,X2_iProver_sdtlseqdt0_2),sdtasdt0(X0_iProver_sdtlseqdt0_2,X3_iProver_sdtlseqdt0_2)),sdtpldt0(sdtasdt0(X1_iProver_sdtlseqdt0_2,X2_iProver_sdtlseqdt0_2),sdtasdt0(X1_iProver_sdtlseqdt0_2,X3_iProver_sdtlseqdt0_2))) = sdtasdt0(sdtpldt0(X0_iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2),sdtpldt0(X2_iProver_sdtlseqdt0_2,X3_iProver_sdtlseqdt0_2)) )
      | ~ aScalar0(X3_iProver_sdtlseqdt0_2)
      | ~ aScalar0(X2_iProver_sdtlseqdt0_2)
      | ~ aScalar0(X1_iProver_sdtlseqdt0_2)
      | ~ aScalar0(X0_iProver_sdtlseqdt0_2) ),
    inference(subtyping,[status(esa)],[c_74]) ).

tcf(c_1220,plain,
    ! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X2_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
      ( ( X2_iProver_sdtlseqdt0_2 = X0_iProver_sdtlseqdt0_2 )
      | ( X2_iProver_sdtlseqdt0_2 != X1_iProver_sdtlseqdt0_2 )
      | ( X0_iProver_sdtlseqdt0_2 != X1_iProver_sdtlseqdt0_2 ) ),
    theory(equality) ).

tcf(c_1227,plain,
    ! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X2_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X3_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
      ( sdtlseqdt0(X0_iProver_sdtlseqdt0_2,X2_iProver_sdtlseqdt0_2)
      | ~ sdtlseqdt0(X1_iProver_sdtlseqdt0_2,X3_iProver_sdtlseqdt0_2)
      | ( X2_iProver_sdtlseqdt0_2 != X3_iProver_sdtlseqdt0_2 )
      | ( X0_iProver_sdtlseqdt0_2 != X1_iProver_sdtlseqdt0_2 ) ),
    theory(equality) ).

tcf(c_2433,plain,
    ! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
      ( sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
      | ~ sdtlseqdt0(X1_iProver_sdtlseqdt0_2,X0_iProver_sdtlseqdt0_2)
      | ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) != X1_iProver_sdtlseqdt0_2 )
      | ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) != X0_iProver_sdtlseqdt0_2 ) ),
    inference(instantiation,[status(thm)],[c_1227]) ).

tcf(c_2470,plain,
    ! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
      ( ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) = X1_iProver_sdtlseqdt0_2 )
      | ( X1_iProver_sdtlseqdt0_2 != X0_iProver_sdtlseqdt0_2 )
      | ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) != X0_iProver_sdtlseqdt0_2 ) ),
    inference(instantiation,[status(thm)],[c_1220]) ).

tcf(c_2549,plain,
    ! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2,X1_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
      ( ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) = X1_iProver_sdtlseqdt0_2 )
      | ( X1_iProver_sdtlseqdt0_2 != X0_iProver_sdtlseqdt0_2 )
      | ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) != X0_iProver_sdtlseqdt0_2 ) ),
    inference(instantiation,[status(thm)],[c_1220]) ).

tcf(c_2588,plain,
    ! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
      ( ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) = X0_iProver_sdtlseqdt0_2 )
      | ( X0_iProver_sdtlseqdt0_2 != sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) )
      | ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) != sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) ) ),
    inference(instantiation,[status(thm)],[c_2470]) ).

tcf(c_2590,plain,
    ! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
      ( ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) = X0_iProver_sdtlseqdt0_2 )
      | ( X0_iProver_sdtlseqdt0_2 != sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) ) ),
    inference(equality_resolution_simp,[status(thm)],[c_2588]) ).

tcf(c_2933,plain,
    ( ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) = sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) )
    | ( sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) ) ),
    inference(instantiation,[status(thm)],[c_2590]) ).

tcf(c_2934,plain,
    ( ( sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) = sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) )
    | ~ aScalar0(xH)
    | ~ aScalar0(xE) ),
    inference(instantiation,[status(thm)],[c_1185]) ).

tcf(c_2954,plain,
    ! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
      ( ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) = X0_iProver_sdtlseqdt0_2 )
      | ( X0_iProver_sdtlseqdt0_2 != sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) )
      | ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) != sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) ) ),
    inference(instantiation,[status(thm)],[c_2549]) ).

tcf(c_2958,plain,
    ! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
      ( ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) = X0_iProver_sdtlseqdt0_2 )
      | ( X0_iProver_sdtlseqdt0_2 != sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) ) ),
    inference(equality_resolution_simp,[status(thm)],[c_2954]) ).

tcf(c_3779,plain,
    ! [X0_iProver_sdtlseqdt0_2: iProver_sdtlseqdt0_2] :
      ( sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
      | ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),X0_iProver_sdtlseqdt0_2)
      | ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) != sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) )
      | ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) != X0_iProver_sdtlseqdt0_2 ) ),
    inference(instantiation,[status(thm)],[c_2433]) ).

tcf(c_3884,plain,
    ( ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) = sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG))) )
    | ( sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG))) != sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) ) ),
    inference(instantiation,[status(thm)],[c_2958]) ).

tcf(c_3885,plain,
    ( ( sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG))) = sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) )
    | ~ aScalar0(xG)
    | ~ aScalar0(xF)
    | ~ aScalar0(xD)
    | ~ aScalar0(xC) ),
    inference(instantiation,[status(thm)],[c_1185]) ).

tcf(c_6484,plain,
    ( sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
    | ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG))))
    | ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) != sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) )
    | ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) != sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG))) ) ),
    inference(instantiation,[status(thm)],[c_3779]) ).

tcf(c_6485,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_6484,c_3885,c_3884,c_2934,c_2933,c_137,c_138,c_113,c_115,c_117,c_119,c_121,c_123]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : RNG079+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n026.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Thu Sep 24 08:09:38 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 17.42/3.26  % SZS status Started for theBenchmark.p
% 17.42/3.26  % SZS status Theorem for theBenchmark.p
% 17.42/3.26  
% 17.42/3.26  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 17.42/3.26  
% 17.42/3.26  % ------  iProver source info
% 17.42/3.26  
% 17.42/3.26  % git: date: 2026-07-19 20:42:38 +0200
% 17.42/3.26  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 17.42/3.26  % git: non_committed_changes: false
% 17.42/3.26  
% 17.42/3.26  % ------ Parsing...
% 17.42/3.26  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 17.42/3.26  
% 17.42/3.26  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 17.42/3.26  
% 17.42/3.26  % ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 17.42/3.26  
% 17.42/3.26  % ------ Preprocessing... sf_s  rm: 4 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 17.42/3.26  % ------ Proving...
% 17.42/3.26  % ------ Problem Properties 
% 17.42/3.26  
% 17.42/3.26  % 
% 17.42/3.26  % clauses                               92
% 17.42/3.26  % conjectures                           1
% 17.42/3.26  % EPR                                   25
% 17.42/3.26  % Horn                                  80
% 17.42/3.26  % unary                                 41
% 17.42/3.26  % binary                                17
% 17.42/3.26  % lits                                  224
% 17.42/3.26  % lits eq                               68
% 17.42/3.26  % fd_pure                               0
% 17.42/3.26  % fd_pseudo                             0
% 17.42/3.26  % fd_cond                               1
% 17.42/3.26  % fd_pseudo_cond                        5
% 17.42/3.26  % AC symbols                            0
% 17.42/3.26  
% 17.42/3.26  % ------ Input Options Time Limit: Unbounded
% 17.42/3.26  
% 17.42/3.26  
% 17.42/3.26  % ------ 
% 17.42/3.26  % Current options:
% 17.42/3.26  % ------ 
% 17.42/3.26  
% 17.42/3.26  
% 17.42/3.26  % 
% 17.42/3.26  
% 17.42/3.26  % ------ Proving...
% 17.42/3.26  % 
% 17.42/3.26  
% 17.42/3.26  % SZS status Theorem for theBenchmark.p
% 17.42/3.26  
% 17.42/3.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.42/3.27  
% 17.42/3.27  
%------------------------------------------------------------------------------