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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GRP655-14 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n007.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 01:35:05 PM UTC 2026

% Result   : Unsatisfiable 13.38s 12.02s
% Output   : CNFRefutation 13.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   50
%            Number of leaves      :    8
% Syntax   : Number of formulae    :  200 ( 200 unt;   2 def)
%            Number of atoms       :  640 ( 199 equ)
%            Maximal formula atoms :    1 (   3 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  210 (   0 sgn 210   !;   0   ?; 199   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).

fof(f2,axiom,
    ! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).

fof(f3,axiom,
    ! [X0,X1] : mult(rd(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).

fof(f4,axiom,
    ! [X0,X1] : rd(mult(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).

fof(f5,axiom,
    ! [X2,X0,X1] : mult(X0,mult(X1,mult(X2,X1))) = mult(mult(mult(X0,X1),X2),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).

fof(f6,negated_conjecture,
    mult(ld(x1,x1),x0) != x0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

fof(f7,plain,
    x0 != mult(ld(x1,x1),x0),
    inference(reorient_equations,[],[f6]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
    inference(cnf_transformation,[],[f1]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
    inference(cnf_transformation,[],[f2]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
    inference(cnf_transformation,[],[f3]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
    inference(cnf_transformation,[],[f4]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(X1,mult(X2,X1))),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_60,negated_conjecture,
    mult(ld(x1,x1),x0) != x0,
    inference(cnf_transformation,[],[f7]) ).

tcf(c_83,definition,
    iPr_def_10 = ld(x1,x1),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_84,definition,
    iPr_def_11 = mult(iPr_def_10,x0),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_85,negated_conjecture,
    iPr_def_11 != x0,
    inference(demodulation,[status(thm)],[c_60,c_83,c_84]) ).

tcf(c_86,plain,
    ! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(X1,mult(X2,X1))),
    inference(demodulation,[status(thm)],[c_59]) ).

tcf(c_87,plain,
    ! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
    inference(demodulation,[status(thm)],[c_58]) ).

tcf(c_88,plain,
    ! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
    inference(demodulation,[status(thm)],[c_57]) ).

tcf(c_89,plain,
    ! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_56]) ).

tcf(c_90,plain,
    ! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_55]) ).

tcf(c_141,plain,
    rd(iPr_def_11,x0) = iPr_def_10,
    inference(superposition,[status(thm)],[c_84,c_87]) ).

tcf(c_143,plain,
    mult(iPr_def_10,x0) = iPr_def_11,
    inference(superposition,[status(thm)],[c_141,c_88]) ).

tcf(c_150,plain,
    ld(iPr_def_10,iPr_def_11) = x0,
    inference(superposition,[status(thm)],[c_143,c_89]) ).

tcf(c_155,plain,
    mult(x1,iPr_def_10) = x1,
    inference(superposition,[status(thm)],[c_83,c_90]) ).

tcf(c_157,plain,
    ! [X0: $i,X1: $i] : rd(X0,ld(X1,X0)) = X1,
    inference(superposition,[status(thm)],[c_90,c_87]) ).

tcf(c_160,plain,
    ld(x1,x1) = iPr_def_10,
    inference(superposition,[status(thm)],[c_155,c_89]) ).

tcf(c_198,plain,
    ! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(X1,mult(ld(mult(X0,X1),X2),X1))) = mult(X2,X1),
    inference(superposition,[status(thm)],[c_90,c_86]) ).

tcf(c_200,plain,
    ! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(ld(X0,X1),mult(X2,ld(X0,X1)))) = mult(mult(X1,X2),ld(X0,X1)),
    inference(superposition,[status(thm)],[c_90,c_86]) ).

tcf(c_201,plain,
    ! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,X1),mult(X1,mult(X2,X1))) = mult(mult(X0,X2),X1),
    inference(superposition,[status(thm)],[c_88,c_86]) ).

tcf(c_203,plain,
    ! [X0: $i] : mult(iPr_def_10,mult(x0,mult(X0,x0))) = mult(mult(iPr_def_11,X0),x0),
    inference(superposition,[status(thm)],[c_143,c_86]) ).

tcf(c_205,plain,
    ! [X0: $i] : mult(x1,mult(iPr_def_10,mult(X0,iPr_def_10))) = mult(mult(x1,X0),iPr_def_10),
    inference(superposition,[status(thm)],[c_155,c_86]) ).

tcf(c_207,plain,
    ! [X0: $i,X1: $i,X2: $i] : ld(mult(mult(X0,X1),X2),mult(X0,mult(X1,mult(X2,X1)))) = X1,
    inference(superposition,[status(thm)],[c_86,c_89]) ).

tcf(c_208,plain,
    ! [X0: $i,X1: $i,X2: $i] : rd(mult(X0,mult(X1,mult(X2,X1))),X1) = mult(mult(X0,X1),X2),
    inference(superposition,[status(thm)],[c_86,c_87]) ).

tcf(c_209,plain,
    ! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X1,mult(X2,X1))),X2) = mult(mult(X0,X1),mult(X2,mult(X1,X2))),
    inference(superposition,[status(thm)],[c_86,c_86]) ).

tcf(c_220,plain,
    mult(mult(iPr_def_11,iPr_def_10),x0) = mult(iPr_def_10,mult(x0,iPr_def_11)),
    inference(superposition,[status(thm)],[c_143,c_203]) ).

tcf(c_223,plain,
    ! [X0: $i] : ld(iPr_def_10,mult(mult(iPr_def_11,X0),x0)) = mult(x0,mult(X0,x0)),
    inference(superposition,[status(thm)],[c_203,c_89]) ).

tcf(c_233,plain,
    mult(mult(iPr_def_10,mult(x0,iPr_def_11)),iPr_def_10) = mult(iPr_def_11,mult(iPr_def_10,mult(x0,iPr_def_10))),
    inference(superposition,[status(thm)],[c_220,c_86]) ).

tcf(c_250,plain,
    ! [X0: $i] : mult(mult(x1,rd(X0,iPr_def_10)),iPr_def_10) = mult(x1,mult(iPr_def_10,X0)),
    inference(superposition,[status(thm)],[c_88,c_205]) ).

tcf(c_252,plain,
    mult(mult(x1,x1),iPr_def_10) = mult(x1,mult(iPr_def_10,x1)),
    inference(superposition,[status(thm)],[c_155,c_205]) ).

tcf(c_254,plain,
    ! [X0: $i] : ld(x1,mult(mult(x1,X0),iPr_def_10)) = mult(iPr_def_10,mult(X0,iPr_def_10)),
    inference(superposition,[status(thm)],[c_205,c_89]) ).

tcf(c_301,plain,
    ! [X0: $i] : mult(x0,mult(ld(iPr_def_11,X0),x0)) = ld(iPr_def_10,mult(X0,x0)),
    inference(superposition,[status(thm)],[c_90,c_223]) ).

tcf(c_342,plain,
    ! [X0: $i] : rd(mult(x1,mult(iPr_def_10,X0)),iPr_def_10) = mult(x1,rd(X0,iPr_def_10)),
    inference(superposition,[status(thm)],[c_250,c_87]) ).

tcf(c_358,plain,
    mult(iPr_def_10,mult(iPr_def_10,iPr_def_10)) = ld(x1,x1),
    inference(superposition,[status(thm)],[c_155,c_254]) ).

tcf(c_362,plain,
    mult(iPr_def_10,mult(iPr_def_10,iPr_def_10)) = iPr_def_10,
    inference(demodulation,[status(thm)],[c_358,c_160]) ).

tcf(c_368,plain,
    ld(iPr_def_10,iPr_def_10) = mult(iPr_def_10,iPr_def_10),
    inference(superposition,[status(thm)],[c_362,c_89]) ).

tcf(c_443,plain,
    ! [X0: $i] : ld(x0,ld(iPr_def_10,mult(X0,x0))) = mult(ld(iPr_def_11,X0),x0),
    inference(superposition,[status(thm)],[c_301,c_89]) ).

tcf(c_494,plain,
    ! [X0: $i] : mult(x1,rd(ld(iPr_def_10,X0),iPr_def_10)) = rd(mult(x1,X0),iPr_def_10),
    inference(superposition,[status(thm)],[c_90,c_342]) ).

tcf(c_559,plain,
    mult(ld(iPr_def_11,iPr_def_10),x0) = ld(x0,x0),
    inference(superposition,[status(thm)],[c_89,c_443]) ).

tcf(c_646,plain,
    ! [X0: $i] : ld(x1,rd(mult(x1,X0),iPr_def_10)) = rd(ld(iPr_def_10,X0),iPr_def_10),
    inference(superposition,[status(thm)],[c_494,c_89]) ).

tcf(c_1340,plain,
    ! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(ld(mult(X1,X0),X2),X0)) = ld(X1,mult(X2,X0)),
    inference(superposition,[status(thm)],[c_198,c_89]) ).

tcf(c_1454,plain,
    ! [X0: $i] : mult(mult(X0,iPr_def_10),iPr_def_10) = mult(rd(X0,iPr_def_10),iPr_def_10),
    inference(superposition,[status(thm)],[c_362,c_201]) ).

tcf(c_1456,plain,
    ! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,rd(X1,X2)),X2) = mult(rd(X0,X2),mult(X2,X1)),
    inference(superposition,[status(thm)],[c_88,c_201]) ).

tcf(c_1460,plain,
    ! [X0: $i] : mult(rd(X0,iPr_def_10),mult(iPr_def_10,x1)) = mult(mult(X0,x1),iPr_def_10),
    inference(superposition,[status(thm)],[c_155,c_201]) ).

tcf(c_1473,plain,
    ! [X0: $i] : mult(rd(X0,x0),mult(x0,ld(x0,x0))) = mult(mult(X0,ld(iPr_def_11,iPr_def_10)),x0),
    inference(superposition,[status(thm)],[c_559,c_201]) ).

tcf(c_1477,plain,
    ! [X0: $i,X1: $i,X2: $i] : ld(rd(X0,X1),mult(mult(X0,X2),X1)) = mult(X1,mult(X2,X1)),
    inference(superposition,[status(thm)],[c_201,c_89]) ).

tcf(c_1478,plain,
    ! [X0: $i,X1: $i,X2: $i] : rd(mult(mult(X0,X1),X2),mult(X2,mult(X1,X2))) = rd(X0,X2),
    inference(superposition,[status(thm)],[c_201,c_87]) ).

tcf(c_1480,plain,
    ! [X0: $i] : mult(mult(X0,iPr_def_10),iPr_def_10) = X0,
    inference(demodulation,[status(thm)],[c_1454,c_88]) ).

tcf(c_1481,plain,
    ! [X0: $i] : mult(mult(X0,ld(iPr_def_11,iPr_def_10)),x0) = X0,
    inference(demodulation,[status(thm)],[c_1473,c_90,c_88]) ).

tcf(c_1531,plain,
    ! [X0: $i,X1: $i] : mult(mult(X0,iPr_def_10),mult(iPr_def_10,mult(X1,iPr_def_10))) = mult(mult(X0,X1),iPr_def_10),
    inference(superposition,[status(thm)],[c_1480,c_86]) ).

tcf(c_1533,plain,
    ! [X0: $i] : mult(X0,iPr_def_10) = rd(X0,iPr_def_10),
    inference(superposition,[status(thm)],[c_1480,c_87]) ).

tcf(c_1534,plain,
    ! [X0: $i,X1: $i] : mult(mult(X0,mult(X1,iPr_def_10)),iPr_def_10) = mult(rd(X0,iPr_def_10),mult(iPr_def_10,X1)),
    inference(superposition,[status(thm)],[c_1480,c_201]) ).

tcf(c_1540,plain,
    ! [X0: $i] : mult(mult(x1,mult(X0,iPr_def_10)),iPr_def_10) = mult(x1,mult(iPr_def_10,X0)),
    inference(superposition,[status(thm)],[c_1480,c_205]) ).

tcf(c_1543,plain,
    ! [X0: $i,X1: $i] : mult(mult(X0,mult(X1,iPr_def_10)),iPr_def_10) = mult(mult(X0,iPr_def_10),mult(iPr_def_10,X1)),
    inference(demodulation,[status(thm)],[c_1534,c_1533]) ).

tcf(c_1553,plain,
    ! [X0: $i] : ld(x1,mult(mult(x1,X0),iPr_def_10)) = rd(ld(iPr_def_10,X0),iPr_def_10),
    inference(demodulation,[status(thm)],[c_646,c_1533]) ).

tcf(c_1556,plain,
    ! [X0: $i] : ld(x1,mult(mult(x1,X0),iPr_def_10)) = mult(ld(iPr_def_10,X0),iPr_def_10),
    inference(demodulation,[status(thm)],[c_1553,c_1533]) ).

tcf(c_1557,plain,
    ! [X0: $i] : mult(ld(iPr_def_10,X0),iPr_def_10) = mult(iPr_def_10,mult(X0,iPr_def_10)),
    inference(demodulation,[status(thm)],[c_1556,c_254]) ).

tcf(c_1618,plain,
    ! [X0: $i] : mult(X0,ld(iPr_def_11,iPr_def_10)) = rd(X0,x0),
    inference(superposition,[status(thm)],[c_1481,c_87]) ).

tcf(c_1678,plain,
    ! [X0: $i] : ld(X0,rd(X0,x0)) = ld(iPr_def_11,iPr_def_10),
    inference(superposition,[status(thm)],[c_1618,c_89]) ).

tcf(c_1836,plain,
    ! [X0: $i] : mult(iPr_def_10,mult(mult(iPr_def_10,X0),iPr_def_10)) = mult(X0,iPr_def_10),
    inference(superposition,[status(thm)],[c_89,c_1557]) ).

tcf(c_1837,plain,
    mult(iPr_def_10,mult(iPr_def_11,iPr_def_10)) = mult(x0,iPr_def_10),
    inference(superposition,[status(thm)],[c_150,c_1557]) ).

tcf(c_1847,plain,
    ! [X0: $i] : mult(mult(iPr_def_10,mult(X0,iPr_def_10)),iPr_def_10) = ld(iPr_def_10,X0),
    inference(superposition,[status(thm)],[c_1557,c_1480]) ).

tcf(c_1851,plain,
    ! [X0: $i] : mult(mult(iPr_def_10,iPr_def_10),mult(iPr_def_10,X0)) = ld(iPr_def_10,X0),
    inference(demodulation,[status(thm)],[c_1847,c_1543]) ).

tcf(c_1869,plain,
    ! [X0: $i] : mult(rd(X0,iPr_def_10),mult(x0,iPr_def_10)) = mult(mult(X0,iPr_def_11),iPr_def_10),
    inference(superposition,[status(thm)],[c_1837,c_201]) ).

tcf(c_1873,plain,
    ! [X0: $i] : mult(mult(X0,iPr_def_10),mult(x0,iPr_def_10)) = mult(mult(X0,iPr_def_11),iPr_def_10),
    inference(demodulation,[status(thm)],[c_1869,c_1533]) ).

tcf(c_1961,plain,
    ! [X0: $i,X1: $i] : mult(mult(X0,mult(iPr_def_10,X1)),iPr_def_10) = mult(rd(X0,iPr_def_10),mult(X1,iPr_def_10)),
    inference(superposition,[status(thm)],[c_1836,c_201]) ).

tcf(c_1966,plain,
    ! [X0: $i,X1: $i] : mult(mult(X0,mult(iPr_def_10,X1)),iPr_def_10) = mult(mult(X0,iPr_def_10),mult(X1,iPr_def_10)),
    inference(demodulation,[status(thm)],[c_1961,c_1533]) ).

tcf(c_2073,plain,
    mult(mult(iPr_def_10,iPr_def_10),iPr_def_11) = ld(iPr_def_10,x0),
    inference(superposition,[status(thm)],[c_143,c_1851]) ).

tcf(c_2082,plain,
    ! [X0: $i] : ld(mult(iPr_def_10,iPr_def_10),ld(iPr_def_10,X0)) = mult(iPr_def_10,X0),
    inference(superposition,[status(thm)],[c_1851,c_89]) ).

tcf(c_2083,plain,
    ! [X0: $i] : rd(ld(iPr_def_10,X0),mult(iPr_def_10,X0)) = mult(iPr_def_10,iPr_def_10),
    inference(superposition,[status(thm)],[c_1851,c_87]) ).

tcf(c_2241,plain,
    ld(mult(iPr_def_10,iPr_def_10),x0) = mult(iPr_def_10,iPr_def_11),
    inference(superposition,[status(thm)],[c_150,c_2082]) ).

tcf(c_2259,plain,
    rd(x0,mult(iPr_def_10,iPr_def_11)) = mult(iPr_def_10,iPr_def_10),
    inference(superposition,[status(thm)],[c_2241,c_157]) ).

tcf(c_2289,plain,
    ! [X0: $i] : rd(X0,mult(iPr_def_10,mult(iPr_def_10,X0))) = mult(iPr_def_10,iPr_def_10),
    inference(superposition,[status(thm)],[c_89,c_2083]) ).

tcf(c_2543,plain,
    ! [X0: $i,X1: $i] : mult(mult(X0,X1),ld(X1,X0)) = mult(X1,mult(ld(X1,X0),X0)),
    inference(superposition,[status(thm)],[c_90,c_200]) ).

tcf(c_2943,plain,
    ! [X0: $i,X1: $i] : ld(mult(mult(X0,iPr_def_10),mult(iPr_def_10,X1)),mult(X0,mult(X1,iPr_def_10))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_1836,c_207]) ).

tcf(c_2944,plain,
    ! [X0: $i] : ld(mult(mult(X0,iPr_def_10),iPr_def_11),mult(X0,mult(x0,iPr_def_10))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_1837,c_207]) ).

tcf(c_2948,plain,
    ! [X0: $i,X1: $i,X2: $i] : ld(mult(mult(X0,X1),rd(X2,X1)),mult(X0,mult(X1,X2))) = X1,
    inference(superposition,[status(thm)],[c_88,c_207]) ).

tcf(c_2966,plain,
    ! [X0: $i,X1: $i] : ld(mult(mult(X0,iPr_def_10),mult(X1,iPr_def_10)),mult(X0,mult(iPr_def_10,X1))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_1480,c_207]) ).

tcf(c_3102,plain,
    ! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),rd(X2,X1)) = rd(mult(X0,mult(X1,X2)),X1),
    inference(superposition,[status(thm)],[c_88,c_208]) ).

tcf(c_3749,plain,
    ! [X0: $i] : mult(mult(X0,iPr_def_10),mult(iPr_def_10,x1)) = mult(mult(X0,x1),iPr_def_10),
    inference(light_normalisation,[status(thm)],[c_1460,c_1533]) ).

tcf(c_3766,plain,
    ! [X0: $i] : rd(mult(mult(X0,x1),iPr_def_10),mult(iPr_def_10,x1)) = mult(X0,iPr_def_10),
    inference(superposition,[status(thm)],[c_3749,c_87]) ).

tcf(c_4927,plain,
    ! [X0: $i] : ld(mult(mult(rd(X0,mult(x0,iPr_def_10)),iPr_def_10),iPr_def_11),X0) = iPr_def_10,
    inference(superposition,[status(thm)],[c_88,c_2944]) ).

tcf(c_5229,plain,
    ! [X0: $i] : rd(mult(X0,iPr_def_10),mult(iPr_def_10,x1)) = mult(rd(X0,x1),iPr_def_10),
    inference(superposition,[status(thm)],[c_88,c_3766]) ).

tcf(c_5685,plain,
    ! [X0: $i] : mult(mult(rd(X0,mult(x0,iPr_def_10)),iPr_def_10),iPr_def_11) = rd(X0,iPr_def_10),
    inference(superposition,[status(thm)],[c_4927,c_157]) ).

tcf(c_5686,plain,
    ! [X0: $i] : mult(mult(rd(X0,mult(x0,iPr_def_10)),iPr_def_10),iPr_def_11) = mult(X0,iPr_def_10),
    inference(demodulation,[status(thm)],[c_5685,c_1533]) ).

tcf(c_5938,plain,
    ! [X0: $i] : mult(rd(mult(x1,mult(X0,iPr_def_10)),x1),iPr_def_10) = rd(mult(x1,mult(iPr_def_10,X0)),mult(iPr_def_10,x1)),
    inference(superposition,[status(thm)],[c_1540,c_5229]) ).

tcf(c_6185,plain,
    ! [X0: $i] : mult(rd(X0,mult(x0,iPr_def_10)),iPr_def_10) = rd(mult(X0,iPr_def_10),iPr_def_11),
    inference(superposition,[status(thm)],[c_5686,c_87]) ).

tcf(c_7097,plain,
    mult(iPr_def_10,mult(iPr_def_11,mult(iPr_def_10,mult(x0,iPr_def_10)))) = mult(mult(x0,iPr_def_11),iPr_def_10),
    inference(superposition,[status(thm)],[c_233,c_1836]) ).

tcf(c_7283,plain,
    ! [X0: $i,X1: $i,X2: $i] : ld(rd(X0,X1),mult(X2,X1)) = mult(X1,mult(ld(X0,X2),X1)),
    inference(superposition,[status(thm)],[c_88,c_1340]) ).

tcf(c_7309,plain,
    ! [X0: $i,X1: $i] : ld(mult(X0,iPr_def_10),mult(X1,iPr_def_10)) = mult(iPr_def_10,mult(ld(X0,X1),iPr_def_10)),
    inference(superposition,[status(thm)],[c_1480,c_1340]) ).

tcf(c_12835,plain,
    rd(mult(x1,mult(iPr_def_10,x1)),mult(iPr_def_10,mult(x1,iPr_def_10))) = rd(x1,iPr_def_10),
    inference(superposition,[status(thm)],[c_252,c_1478]) ).

tcf(c_12986,plain,
    mult(mult(mult(x1,x1),rd(iPr_def_10,x1)),iPr_def_10) = x1,
    inference(demodulation,[status(thm)],[c_12835,c_155,c_1533,c_3102,c_5938]) ).

tcf(c_13293,plain,
    mult(mult(x1,x1),rd(iPr_def_10,x1)) = mult(x1,iPr_def_10),
    inference(superposition,[status(thm)],[c_12986,c_1480]) ).

tcf(c_13297,plain,
    mult(mult(x1,x1),rd(iPr_def_10,x1)) = x1,
    inference(demodulation,[status(thm)],[c_13293,c_155]) ).

tcf(c_14015,plain,
    ld(mult(x1,x1),x1) = rd(iPr_def_10,x1),
    inference(superposition,[status(thm)],[c_13297,c_89]) ).

tcf(c_14016,plain,
    rd(x1,rd(iPr_def_10,x1)) = mult(x1,x1),
    inference(superposition,[status(thm)],[c_13297,c_87]) ).

tcf(c_14024,plain,
    mult(rd(iPr_def_10,x1),mult(x1,rd(iPr_def_10,x1))) = ld(rd(x1,rd(iPr_def_10,x1)),x1),
    inference(superposition,[status(thm)],[c_13297,c_1477]) ).

tcf(c_14027,plain,
    mult(rd(iPr_def_10,x1),mult(x1,rd(iPr_def_10,x1))) = rd(iPr_def_10,x1),
    inference(demodulation,[status(thm)],[c_14024,c_14015,c_14016]) ).

tcf(c_14201,plain,
    ! [X0: $i] : mult(rd(X0,rd(iPr_def_10,x1)),rd(iPr_def_10,x1)) = mult(mult(X0,x1),rd(iPr_def_10,x1)),
    inference(superposition,[status(thm)],[c_14027,c_201]) ).

tcf(c_14204,plain,
    ! [X0: $i] : mult(mult(X0,x1),rd(iPr_def_10,x1)) = X0,
    inference(demodulation,[status(thm)],[c_14201,c_88]) ).

tcf(c_14241,plain,
    ! [X0: $i] : mult(X0,rd(iPr_def_10,x1)) = rd(X0,x1),
    inference(superposition,[status(thm)],[c_88,c_14204]) ).

tcf(c_14250,plain,
    ! [X0: $i] : rd(X0,rd(iPr_def_10,x1)) = mult(X0,x1),
    inference(superposition,[status(thm)],[c_14204,c_87]) ).

tcf(c_14317,plain,
    rd(rd(iPr_def_10,x1),rd(iPr_def_10,x1)) = mult(iPr_def_10,iPr_def_10),
    inference(superposition,[status(thm)],[c_14241,c_2289]) ).

tcf(c_14331,plain,
    mult(iPr_def_10,iPr_def_10) = iPr_def_10,
    inference(demodulation,[status(thm)],[c_14317,c_88,c_14250]) ).

tcf(c_14379,plain,
    ! [X0: $i] : rd(ld(iPr_def_10,X0),mult(iPr_def_10,X0)) = iPr_def_10,
    inference(demodulation,[status(thm)],[c_2083,c_14331]) ).

tcf(c_14380,plain,
    rd(x0,mult(iPr_def_10,iPr_def_11)) = iPr_def_10,
    inference(demodulation,[status(thm)],[c_2259,c_14331]) ).

tcf(c_14383,plain,
    ld(iPr_def_10,x0) = mult(iPr_def_10,iPr_def_11),
    inference(demodulation,[status(thm)],[c_2073,c_14331]) ).

tcf(c_14384,plain,
    ! [X0: $i] : mult(iPr_def_10,mult(iPr_def_10,X0)) = ld(iPr_def_10,X0),
    inference(demodulation,[status(thm)],[c_1851,c_14331]) ).

tcf(c_14387,plain,
    ld(iPr_def_10,iPr_def_10) = iPr_def_10,
    inference(demodulation,[status(thm)],[c_368,c_14331]) ).

tcf(c_21024,plain,
    ! [X0: $i,X1: $i] : mult(mult(X0,mult(X1,iPr_def_10)),mult(iPr_def_10,mult(mult(X1,iPr_def_10),iPr_def_10))) = mult(mult(X0,mult(mult(X1,X1),iPr_def_10)),iPr_def_10),
    inference(superposition,[status(thm)],[c_1531,c_209]) ).

tcf(c_21046,plain,
    ! [X0: $i,X1: $i] : mult(mult(X0,mult(X1,iPr_def_10)),mult(iPr_def_10,X1)) = mult(mult(X0,iPr_def_10),mult(iPr_def_10,mult(X1,X1))),
    inference(demodulation,[status(thm)],[c_21024,c_1480,c_1543]) ).

tcf(c_24233,plain,
    mult(x0,mult(ld(x0,iPr_def_10),iPr_def_10)) = mult(iPr_def_11,ld(x0,iPr_def_10)),
    inference(superposition,[status(thm)],[c_143,c_2543]) ).

tcf(c_24445,plain,
    mult(iPr_def_11,mult(ld(iPr_def_11,iPr_def_10),iPr_def_10)) = rd(mult(iPr_def_10,iPr_def_11),x0),
    inference(superposition,[status(thm)],[c_2543,c_1618]) ).

tcf(c_24919,plain,
    ld(x0,mult(iPr_def_11,ld(x0,iPr_def_10))) = mult(ld(x0,iPr_def_10),iPr_def_10),
    inference(superposition,[status(thm)],[c_24233,c_89]) ).

tcf(c_24975,plain,
    rd(rd(mult(iPr_def_10,iPr_def_11),x0),mult(ld(iPr_def_11,iPr_def_10),iPr_def_10)) = iPr_def_11,
    inference(superposition,[status(thm)],[c_24445,c_87]) ).

tcf(c_25367,plain,
    ! [X0: $i,X1: $i] : ld(mult(X0,iPr_def_10),mult(mult(X0,mult(X1,iPr_def_10)),mult(iPr_def_10,X1))) = mult(mult(iPr_def_10,X1),mult(iPr_def_10,mult(iPr_def_10,X1))),
    inference(superposition,[status(thm)],[c_2943,c_1340]) ).

tcf(c_25369,plain,
    ! [X0: $i] : mult(mult(iPr_def_10,X0),ld(iPr_def_10,X0)) = mult(iPr_def_10,mult(X0,X0)),
    inference(demodulation,[status(thm)],[c_25367,c_89,c_14384,c_21046]) ).

tcf(c_25478,plain,
    mult(iPr_def_10,mult(x0,x0)) = mult(iPr_def_11,ld(iPr_def_10,x0)),
    inference(superposition,[status(thm)],[c_143,c_25369]) ).

tcf(c_25499,plain,
    mult(mult(iPr_def_10,iPr_def_11),x0) = mult(iPr_def_10,mult(iPr_def_11,iPr_def_11)),
    inference(superposition,[status(thm)],[c_150,c_25369]) ).

tcf(c_25544,plain,
    mult(iPr_def_10,mult(x0,x0)) = mult(iPr_def_11,mult(iPr_def_10,iPr_def_11)),
    inference(demodulation,[status(thm)],[c_25478,c_14383]) ).

tcf(c_25693,plain,
    rd(mult(iPr_def_10,mult(iPr_def_11,iPr_def_11)),x0) = mult(iPr_def_10,iPr_def_11),
    inference(superposition,[status(thm)],[c_25499,c_87]) ).

tcf(c_25888,plain,
    rd(mult(iPr_def_10,mult(x0,x0)),mult(iPr_def_10,iPr_def_11)) = iPr_def_11,
    inference(superposition,[status(thm)],[c_25544,c_87]) ).

tcf(c_30735,plain,
    ! [X0: $i,X1: $i] : mult(X0,mult(ld(X1,rd(X1,X0)),X0)) = X0,
    inference(superposition,[status(thm)],[c_7283,c_89]) ).

tcf(c_30860,plain,
    ! [X0: $i,X1: $i] : mult(ld(X0,rd(X0,X1)),X1) = ld(X1,X1),
    inference(superposition,[status(thm)],[c_30735,c_89]) ).

tcf(c_30872,plain,
    ! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,ld(X1,rd(X1,X2))),X2) = mult(rd(X0,X2),X2),
    inference(superposition,[status(thm)],[c_30735,c_201]) ).

tcf(c_30955,plain,
    ! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,ld(X1,rd(X1,X2))),X2) = X0,
    inference(demodulation,[status(thm)],[c_30872,c_88]) ).

tcf(c_31713,plain,
    ! [X0: $i,X1: $i,X2: $i] : mult(X0,ld(X1,rd(X1,X2))) = rd(X0,X2),
    inference(superposition,[status(thm)],[c_30955,c_87]) ).

tcf(c_31725,plain,
    ! [X0: $i,X1: $i,X2: $i] : ld(X0,mult(X0,mult(ld(X1,rd(X1,X2)),mult(X2,ld(X1,rd(X1,X2)))))) = ld(X1,rd(X1,X2)),
    inference(superposition,[status(thm)],[c_30955,c_207]) ).

tcf(c_31726,plain,
    ! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(ld(X1,rd(X1,X2)),mult(X2,ld(X1,rd(X1,X2))))) = mult(X0,ld(X1,rd(X1,X2))),
    inference(superposition,[status(thm)],[c_30955,c_86]) ).

tcf(c_31939,plain,
    ! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(ld(X1,rd(X1,X2)),rd(X2,X2))) = rd(X0,X2),
    inference(demodulation,[status(thm)],[c_31726,c_31713]) ).

tcf(c_31940,plain,
    ! [X0: $i,X1: $i,X2: $i] : ld(X0,rd(X0,X1)) = ld(X2,rd(X2,X1)),
    inference(demodulation,[status(thm)],[c_31725,c_31713,c_31939]) ).

tcf(c_31941,plain,
    ! [X0: $i,X1: $i] : ld(X0,rd(X0,X1)) = iPr_def_12(X1),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_31940]) ).

tcf(c_31993,plain,
    ! [X0: $i] : mult(iPr_def_12(X0),X0) = ld(X0,X0),
    inference(demodulation,[status(thm)],[c_30860,c_31941]) ).

tcf(c_31995,plain,
    ld(iPr_def_11,iPr_def_10) = iPr_def_12(x0),
    inference(demodulation,[status(thm)],[c_1678,c_31941]) ).

tcf(c_32028,plain,
    rd(rd(mult(iPr_def_10,iPr_def_11),x0),mult(iPr_def_12(x0),iPr_def_10)) = iPr_def_11,
    inference(demodulation,[status(thm)],[c_24975,c_31995]) ).

tcf(c_32594,plain,
    ! [X0: $i,X1: $i] : ld(mult(X0,X1),X0) = iPr_def_12(X1),
    inference(superposition,[status(thm)],[c_87,c_31941]) ).

tcf(c_32596,plain,
    ! [X0: $i,X1: $i] : iPr_def_12(ld(X0,X1)) = ld(X1,X0),
    inference(superposition,[status(thm)],[c_157,c_31941]) ).

tcf(c_32611,plain,
    iPr_def_12(mult(iPr_def_10,iPr_def_11)) = ld(x0,iPr_def_10),
    inference(superposition,[status(thm)],[c_14380,c_31941]) ).

tcf(c_32640,plain,
    ld(mult(iPr_def_10,mult(x0,x0)),iPr_def_11) = iPr_def_12(mult(iPr_def_10,iPr_def_11)),
    inference(superposition,[status(thm)],[c_25888,c_31941]) ).

tcf(c_32644,plain,
    ! [X0: $i,X1: $i] : mult(X0,iPr_def_12(X1)) = rd(X0,X1),
    inference(superposition,[status(thm)],[c_31941,c_90]) ).

tcf(c_32685,plain,
    ld(mult(iPr_def_10,mult(x0,x0)),iPr_def_11) = ld(x0,iPr_def_10),
    inference(demodulation,[status(thm)],[c_32640,c_32611]) ).

tcf(c_35630,plain,
    ! [X0: $i,X1: $i] : rd(X0,iPr_def_12(X1)) = mult(X0,X1),
    inference(superposition,[status(thm)],[c_32594,c_157]) ).

tcf(c_35822,plain,
    ! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = iPr_def_12(iPr_def_12(X1)),
    inference(superposition,[status(thm)],[c_32594,c_32596]) ).

tcf(c_35829,plain,
    ! [X0: $i] : iPr_def_12(iPr_def_12(X0)) = X0,
    inference(demodulation,[status(thm)],[c_35822,c_89]) ).

tcf(c_35834,plain,
    ! [X0: $i] : ld(iPr_def_12(X0),iPr_def_12(X0)) = mult(X0,iPr_def_12(X0)),
    inference(superposition,[status(thm)],[c_35829,c_31993]) ).

tcf(c_35835,plain,
    ! [X0: $i] : ld(iPr_def_12(X0),iPr_def_12(X0)) = rd(X0,X0),
    inference(demodulation,[status(thm)],[c_35834,c_32644]) ).

tcf(c_35846,plain,
    ! [X0: $i,X1: $i,X2: $i] : mult(X0,ld(X1,X2)) = rd(X0,ld(X2,X1)),
    inference(superposition,[status(thm)],[c_32596,c_32644]) ).

tcf(c_35870,plain,
    ! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),rd(iPr_def_12(X2),X1)) = rd(mult(X0,rd(X1,X2)),X1),
    inference(superposition,[status(thm)],[c_32644,c_3102]) ).

tcf(c_36638,plain,
    ! [X0: $i] : mult(iPr_def_12(X0),rd(X0,X0)) = iPr_def_12(X0),
    inference(superposition,[status(thm)],[c_35835,c_90]) ).

tcf(c_36720,plain,
    ! [X0: $i] : mult(rd(iPr_def_12(X0),X0),mult(X0,X0)) = mult(iPr_def_12(X0),X0),
    inference(superposition,[status(thm)],[c_36638,c_1456]) ).

tcf(c_36723,plain,
    ! [X0: $i] : mult(rd(iPr_def_12(X0),X0),mult(X0,X0)) = ld(X0,X0),
    inference(demodulation,[status(thm)],[c_36720,c_31993]) ).

tcf(c_43282,plain,
    ! [X0: $i] : mult(rd(X0,iPr_def_12(X0)),mult(iPr_def_12(X0),iPr_def_12(X0))) = ld(iPr_def_12(X0),iPr_def_12(X0)),
    inference(superposition,[status(thm)],[c_35829,c_36723]) ).

tcf(c_43326,plain,
    ! [X0: $i] : rd(mult(X0,rd(X0,X0)),X0) = rd(X0,X0),
    inference(demodulation,[status(thm)],[c_43282,c_32644,c_35630,c_35835,c_35870]) ).

tcf(c_43449,plain,
    ! [X0: $i] : mult(rd(X0,X0),X0) = mult(X0,rd(X0,X0)),
    inference(superposition,[status(thm)],[c_43326,c_88]) ).

tcf(c_43488,plain,
    ! [X0: $i] : mult(X0,rd(X0,X0)) = X0,
    inference(demodulation,[status(thm)],[c_43449,c_88]) ).

tcf(c_43557,plain,
    ! [X0: $i] : ld(X0,X0) = rd(X0,X0),
    inference(superposition,[status(thm)],[c_43488,c_89]) ).

tcf(c_43696,plain,
    ! [X0: $i] : mult(ld(X0,X0),X0) = X0,
    inference(superposition,[status(thm)],[c_43557,c_88]) ).

tcf(c_43698,plain,
    ! [X0: $i,X1: $i] : mult(mult(X0,ld(X1,X1)),X1) = mult(rd(X0,X1),mult(X1,X1)),
    inference(superposition,[status(thm)],[c_43557,c_1456]) ).

tcf(c_43715,plain,
    mult(ld(mult(x0,iPr_def_10),mult(x0,iPr_def_10)),iPr_def_10) = rd(mult(mult(x0,iPr_def_10),iPr_def_10),iPr_def_11),
    inference(superposition,[status(thm)],[c_43557,c_6185]) ).

tcf(c_43748,plain,
    ld(iPr_def_10,ld(x0,x0)) = rd(x0,iPr_def_11),
    inference(demodulation,[status(thm)],[c_43715,c_1480,c_1543,c_7309,c_14331,c_14384]) ).

tcf(c_43906,plain,
    ! [X0: $i,X1: $i] : mult(mult(X0,ld(X1,X1)),rd(X1,ld(X1,X1))) = rd(mult(X0,X1),ld(X1,X1)),
    inference(superposition,[status(thm)],[c_43696,c_3102]) ).

tcf(c_44030,plain,
    ! [X0: $i,X1: $i] : mult(mult(X0,X1),ld(X1,X1)) = mult(rd(X0,X1),mult(X1,X1)),
    inference(demodulation,[status(thm)],[c_43906,c_90,c_35846,c_43698]) ).

tcf(c_44046,plain,
    ! [X0: $i] : mult(mult(iPr_def_12(X0),X0),ld(X0,X0)) = ld(X0,X0),
    inference(demodulation,[status(thm)],[c_36723,c_44030]) ).

tcf(c_44047,plain,
    ! [X0: $i] : mult(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
    inference(demodulation,[status(thm)],[c_44046,c_31993]) ).

tcf(c_44650,plain,
    mult(mult(iPr_def_10,ld(x0,x0)),rd(x0,iPr_def_11)) = mult(iPr_def_10,mult(ld(x0,x0),ld(x0,x0))),
    inference(superposition,[status(thm)],[c_43748,c_25369]) ).

tcf(c_44655,plain,
    rd(rd(x0,iPr_def_11),mult(iPr_def_10,ld(x0,x0))) = iPr_def_10,
    inference(superposition,[status(thm)],[c_43748,c_14379]) ).

tcf(c_44669,plain,
    mult(mult(iPr_def_10,ld(x0,x0)),rd(x0,iPr_def_11)) = mult(iPr_def_10,ld(x0,x0)),
    inference(demodulation,[status(thm)],[c_44650,c_44047]) ).

tcf(c_45594,plain,
    ! [X0: $i] : ld(mult(mult(X0,mult(iPr_def_10,ld(x0,x0))),iPr_def_10),mult(X0,mult(mult(iPr_def_10,ld(x0,x0)),rd(x0,iPr_def_11)))) = mult(iPr_def_10,ld(x0,x0)),
    inference(superposition,[status(thm)],[c_44655,c_2948]) ).

tcf(c_45595,plain,
    mult(iPr_def_10,ld(x0,x0)) = iPr_def_10,
    inference(demodulation,[status(thm)],[c_45594,c_1966,c_2966,c_44669]) ).

tcf(c_45614,plain,
    ld(x0,x0) = ld(iPr_def_10,iPr_def_10),
    inference(superposition,[status(thm)],[c_45595,c_89]) ).

tcf(c_45625,plain,
    mult(mult(x0,iPr_def_10),ld(x0,x0)) = mult(x0,mult(ld(x0,x0),iPr_def_10)),
    inference(superposition,[status(thm)],[c_45595,c_200]) ).

tcf(c_45646,plain,
    ld(x0,x0) = iPr_def_10,
    inference(demodulation,[status(thm)],[c_45614,c_14387]) ).

tcf(c_45662,plain,
    mult(mult(x0,iPr_def_10),iPr_def_10) = mult(x0,mult(iPr_def_10,iPr_def_10)),
    inference(demodulation,[status(thm)],[c_45625,c_45646]) ).

tcf(c_45663,plain,
    mult(x0,iPr_def_10) = x0,
    inference(demodulation,[status(thm)],[c_45662,c_1480,c_14331]) ).

tcf(c_45704,plain,
    mult(iPr_def_10,mult(iPr_def_11,mult(iPr_def_10,x0))) = mult(mult(x0,iPr_def_11),iPr_def_10),
    inference(demodulation,[status(thm)],[c_7097,c_45663]) ).

tcf(c_45729,plain,
    ! [X0: $i] : mult(mult(X0,iPr_def_10),x0) = mult(mult(X0,iPr_def_11),iPr_def_10),
    inference(demodulation,[status(thm)],[c_1873,c_45663]) ).

tcf(c_45756,plain,
    mult(iPr_def_10,mult(iPr_def_11,mult(iPr_def_10,x0))) = mult(x0,x0),
    inference(demodulation,[status(thm)],[c_45704,c_45663,c_45729]) ).

tcf(c_45757,plain,
    mult(iPr_def_10,mult(iPr_def_11,iPr_def_11)) = mult(x0,x0),
    inference(demodulation,[status(thm)],[c_45756,c_143]) ).

tcf(c_45759,plain,
    rd(mult(x0,x0),x0) = mult(iPr_def_10,iPr_def_11),
    inference(demodulation,[status(thm)],[c_25693,c_45757]) ).

tcf(c_45761,plain,
    mult(iPr_def_10,iPr_def_11) = x0,
    inference(demodulation,[status(thm)],[c_45759,c_87]) ).

tcf(c_45763,plain,
    rd(rd(x0,x0),mult(iPr_def_12(x0),iPr_def_10)) = iPr_def_11,
    inference(demodulation,[status(thm)],[c_32028,c_45761]) ).

tcf(c_45769,plain,
    mult(iPr_def_10,mult(x0,x0)) = mult(iPr_def_11,x0),
    inference(demodulation,[status(thm)],[c_25544,c_45761]) ).

tcf(c_45774,plain,
    ld(mult(iPr_def_11,x0),iPr_def_11) = ld(x0,iPr_def_10),
    inference(demodulation,[status(thm)],[c_32685,c_45769]) ).

tcf(c_45776,plain,
    ld(x0,iPr_def_10) = iPr_def_12(x0),
    inference(demodulation,[status(thm)],[c_45774,c_32594]) ).

tcf(c_45781,plain,
    ld(x0,mult(iPr_def_11,iPr_def_12(x0))) = mult(iPr_def_12(x0),iPr_def_10),
    inference(demodulation,[status(thm)],[c_24919,c_45776]) ).

tcf(c_45784,plain,
    mult(iPr_def_12(x0),iPr_def_10) = ld(x0,iPr_def_10),
    inference(demodulation,[status(thm)],[c_45781,c_141,c_32644]) ).

tcf(c_45815,plain,
    rd(rd(x0,x0),iPr_def_12(x0)) = iPr_def_11,
    inference(demodulation,[status(thm)],[c_45763,c_45776,c_45784]) ).

tcf(c_45816,plain,
    x0 = iPr_def_11,
    inference(demodulation,[status(thm)],[c_45815,c_88,c_35630]) ).

tcf(c_45864,plain,
    iPr_def_11 != iPr_def_11,
    inference(demodulation,[status(thm)],[c_85,c_45816]) ).

tcf(c_45865,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_45864]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : GRP655-14 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/5.46  % Computer : n007.cluster.edu
% 0.17/5.46  % Model    : x86_64 x86_64
% 0.17/5.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.46  % Memory   : 8046.5625MB
% 0.17/5.46  % OS       : Linux 6.8.0-71-generic
% 0.17/5.46  % CPULimit : 300
% 0.17/5.46  % WCLimit  : 300
% 0.17/5.46  % DateTime : Wed Sep 23 15:28:42 UTC 2026
% 0.17/5.46  % CPUTime  : 
% 0.17/5.46  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.21/5.52  Running UEQ theorem proving
% 0.21/5.52  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/5.54  
% 0.21/5.54  % ======== iProver multi-core TPTP/SMT =========
% 0.21/5.54  
% 0.21/5.54  % Detected problem language: tptp
% 0.21/5.56  % Proving...
% 13.38/12.02  WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 13.38/12.02  % SZS status Started for theBenchmark.p
% 13.38/12.02  % SZS status Unsatisfiable for theBenchmark.p
% 13.38/12.02  
% 13.38/12.02  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 13.38/12.02  
% 13.38/12.02  % ------  iProver source info
% 13.38/12.02  
% 13.38/12.02  % git: date: 2026-07-19 20:42:38 +0200
% 13.38/12.02  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 13.38/12.02  % git: non_committed_changes: false
% 13.38/12.02  
% 13.38/12.02  % ------ Parsing...% successful
% 13.38/12.02  
% 13.38/12.02  
% 13.38/12.02  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 13.38/12.02  
% 13.38/12.02  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 13.38/12.02  
% 13.38/12.02  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 13.38/12.02  
% 13.38/12.02  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 13.38/12.02  % ------ Proving...
% 13.38/12.02  % ------ Problem Properties 
% 13.38/12.02  
% 13.38/12.02  % 
% 13.38/12.02  % clauses                               8
% 13.38/12.02  % conjectures                           1
% 13.38/12.02  % EPR                                   1
% 13.38/12.02  % Horn                                  8
% 13.38/12.02  % unary                                 8
% 13.38/12.02  % binary                                0
% 13.38/12.02  % lits                                  8
% 13.38/12.02  % lits eq                               8
% 13.38/12.02  % fd_pure                               0
% 13.38/12.02  % fd_pseudo                             0
% 13.38/12.02  % fd_cond                               0
% 13.38/12.02  % fd_pseudo_cond                        0
% 13.38/12.02  % AC symbols                            0
% 13.38/12.02  
% 13.38/12.02  % ------ Input Options Time Limit: Unbounded
% 13.38/12.02  
% 13.38/12.02  
% 13.38/12.02  % ------ 
% 13.38/12.02  % Current options:
% 13.38/12.02  % ------ 
% 13.38/12.02  
% 13.38/12.02  
% 13.38/12.02  % 
% 13.38/12.02  
% 13.38/12.02  % ------ Proving...
% 13.38/12.02  % 
% 13.38/12.02  
% 13.38/12.02  % SZS status Unsatisfiable for theBenchmark.p
% 13.38/12.02  
% 13.38/12.02  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 13.38/12.02  
% 13.38/12.02  
%------------------------------------------------------------------------------