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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : CSR025+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n016.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 01:05:13 PM UTC 2026

% Result   : Theorem 6.17s 1.24s
% Output   : Proof 6.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (  14 unt;   0 def)
%            Number of atoms       :   34 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   31 (  19   ~;   6   |;   4   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-4 aty)
%            Number of variables   :   18 (   2 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    genls(c_tptpcol_16_130933,c_tptpcol_15_130931),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).

fof(f3_nnf,plain,
    genls(c_tptpcol_16_130933,c_tptpcol_15_130931),
    inference(nnf_transformation,[status(thm)],[f3]) ).

cnf(c3,plain,
    genls(c_tptpcol_16_130933,c_tptpcol_15_130931),
    inference(cnf_transformation,[status(esa)],[f3_nnf]) ).

cnf(t11,plain,
    genls(c_tptpcol_16_130933,c_tptpcol_15_130931) = true,
    inference(equality_encoding,[status(esa)],[c3]) ).

cnf(t99,plain,
    genls(c_tptpcol_16_130933,c_tptpcol_15_130931) = true,
    inference(orient,[status(thm)],[t11]) ).

cnf(t13,plain,
    ifeq(X1,X1,X2,X3) = X2,
    introduced(definition) ).

cnf(t62,plain,
    ifeq(X1,X1,X2,X3) = X2,
    inference(orient,[status(thm)],[t13]) ).

fof(f5,axiom,
    ! [OBJ,COL1,COL2] :
      ~ ( disjointwith(COL1,COL2)
        & isa(OBJ,COL2)
        & isa(OBJ,COL1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).

fof(f5_nnf,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(nnf_transformation,[status(thm)],[f5]) ).

fof(f5_sk,plain,
    ! [OBJ,COL1,COL2] :
      ( ~ disjointwith(COL1,COL2)
      | ~ isa(OBJ,COL2)
      | ~ isa(OBJ,COL1) ),
    inference(skolemisation,[status(esa)],[f5_nnf]) ).

cnf(c5,plain,
    ( ~ disjointwith(X1,X2)
    | ~ isa(X0,X2)
    | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

fof(f53,conjecture,
    ( mtvisible(c_patterndetectormt)
   => genls(c_tptpcol_16_130933,c_tptpcol_15_130931) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query25) ).

fof(f53_neg,negated_conjecture,
    ~ ( mtvisible(c_patterndetectormt)
     => genls(c_tptpcol_16_130933,c_tptpcol_15_130931) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f53_nnf,plain,
    ( ~ genls(c_tptpcol_16_130933,c_tptpcol_15_130931)
    & mtvisible(c_patterndetectormt) ),
    inference(nnf_transformation,[status(thm)],[f53_neg]) ).

fof(f53_sk,plain,
    ( ~ genls(c_tptpcol_16_130933,c_tptpcol_15_130931)
    & mtvisible(c_patterndetectormt) ),
    inference(skolemisation,[status(esa)],[f53_nnf]) ).

cnf(c54,plain,
    ~ genls(c_tptpcol_16_130933,c_tptpcol_15_130931),
    inference(cnf_transformation,[status(esa)],[f53_sk]) ).

cnf(goal_0,negated_conjecture,
    true != false,
    inference(equality_encoding,[status(esa)],[c5,c54]) ).

cnf(g0_0,plain,
    true != ifeq(genls(c_tptpcol_16_130933,c_tptpcol_15_130931),true,false,true),
    inference(rw,[status(thm)],[goal_0]) ).

cnf(g0_1,plain,
    true != ifeq(genls(c_tptpcol_16_130933,c_tptpcol_15_130931),true,false,genls(c_tptpcol_16_130933,c_tptpcol_15_130931)),
    inference(rw,[status(thm)],[g0_0,t99]) ).

cnf(g0_2,plain,
    true != ifeq(true,true,false,genls(c_tptpcol_16_130933,c_tptpcol_15_130931)),
    inference(rw,[status(thm)],[g0_1,t99]) ).

cnf(g0_3,plain,
    true != false,
    inference(rw,[status(thm)],[g0_2,t62]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR025+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36  % Computer : n016.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Fri Sep 25 08:13:30 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.17/1.24  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.17/1.24  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------