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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GRP109-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/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 01:30:55 PM UTC 2026

% Result   : Unsatisfiable 4.37s 6.49s
% Output   : CNFRefutation 4.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   78 (  68 unt;   0 def)
%            Number of atoms       :  103 ( 102 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   62 (  37   ~;  25   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :  178 (   0 sgn 178   !;   0   ?; 173   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

fof(f3,negated_conjecture,
    ( multiply(a4,b4) != multiply(b4,a4)
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(multiply(inverse(b2),b2),a2) != a2
    | multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).

fof(f4,plain,
    ( multiply(a4,b4) != multiply(b4,a4)
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | a2 != multiply(multiply(inverse(b2),b2),a2)
    | multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
    inference(reorient_equations,[],[f3]) ).

fof(f5,plain,
    ( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
    | inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
    | a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
    | inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
    inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2,f2,f2]) ).

tcf(c_52,negated_conjecture,
    ( ( inverse(double_divide(a4,b4)) != inverse(double_divide(b4,a4)) )
    | ( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) )
    | ( inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))) )
    | ( inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2 ) ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2) = X1,
    inference(cnf_transformation,[],[f1]) ).

tcf(c_113,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),inverse(double_divide(inverse(X3),X1)))),X2) = X3,
    inference(superposition,[status(thm)],[c_53,c_53]) ).

tcf(c_115,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,double_divide(X2,X3))))) = double_divide(inverse(double_divide(X2,inverse(X1))),X3),
    inference(superposition,[status(thm)],[c_53,c_53]) ).

tcf(c_118,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : double_divide(inverse(double_divide(X0,inverse(double_divide(X1,inverse(double_divide(inverse(X2),double_divide(X1,double_divide(X3,double_divide(X0,X4))))))))),X4) = double_divide(X3,inverse(X2)),
    inference(superposition,[status(thm)],[c_53,c_115]) ).

tcf(c_123,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
    inference(superposition,[status(thm)],[c_115,c_53]) ).

tcf(c_144,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),inverse(X3))),X2)),X1) = X3,
    inference(superposition,[status(thm)],[c_53,c_123]) ).

tcf(c_152,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(inverse(double_divide(X1,inverse(X0))),double_divide(X1,inverse(X2)))) = X2,
    inference(superposition,[status(thm)],[c_123,c_123]) ).

tcf(c_183,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(X0),double_divide(X1,double_divide(X1,inverse(X2))))),X0) = X2,
    inference(superposition,[status(thm)],[c_53,c_152]) ).

tcf(c_217,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(X2,inverse(X3)))) = double_divide(inverse(double_divide(X0,inverse(X3))),X1),
    inference(superposition,[status(thm)],[c_183,c_53]) ).

tcf(c_291,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : double_divide(inverse(double_divide(X0,X1)),double_divide(inverse(double_divide(X2,inverse(double_divide(inverse(X3),double_divide(X2,inverse(X4)))))),X3)) = double_divide(inverse(double_divide(X0,inverse(X4))),X1),
    inference(superposition,[status(thm)],[c_53,c_217]) ).

tcf(c_301,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,inverse(double_divide(X1,X2)))),inverse(X3)) = double_divide(X0,inverse(double_divide(inverse(double_divide(X1,inverse(X3))),X2))),
    inference(superposition,[status(thm)],[c_217,c_115]) ).

tcf(c_364,plain,
    ! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(X1),X0))) = X1,
    inference(demodulation,[status(thm)],[c_113,c_53,c_301]) ).

tcf(c_365,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2)))) = double_divide(inverse(X2),inverse(X1)),
    inference(superposition,[status(thm)],[c_53,c_364]) ).

tcf(c_367,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(X0,inverse(X1))),X2) = double_divide(inverse(double_divide(X0,X2)),inverse(X1)),
    inference(superposition,[status(thm)],[c_123,c_364]) ).

tcf(c_373,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(X0),inverse(double_divide(inverse(X1),X2)))),inverse(double_divide(inverse(X2),X0))) = X1,
    inference(superposition,[status(thm)],[c_364,c_53]) ).

tcf(c_376,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),X2)))),X3) = double_divide(inverse(double_divide(X0,X3)),double_divide(inverse(X2),X1)),
    inference(superposition,[status(thm)],[c_364,c_217]) ).

tcf(c_378,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(X1,inverse(double_divide(inverse(X0),double_divide(X1,inverse(X2)))))) = X2,
    inference(superposition,[status(thm)],[c_364,c_123]) ).

tcf(c_383,plain,
    ! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X0) = X1,
    inference(demodulation,[status(thm)],[c_53,c_365]) ).

tcf(c_468,plain,
    ! [X0: $i,X1: $i] : double_divide(inverse(X0),double_divide(inverse(X1),X1)) = X0,
    inference(superposition,[status(thm)],[c_383,c_123]) ).

tcf(c_494,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X2) = double_divide(inverse(X1),double_divide(inverse(X2),X0)),
    inference(superposition,[status(thm)],[c_365,c_383]) ).

tcf(c_537,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(X0),X1)),double_divide(inverse(inverse(double_divide(inverse(X1),X2))),X2)) = X0,
    inference(demodulation,[status(thm)],[c_373,c_494]) ).

tcf(c_697,plain,
    ! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(double_divide(inverse(X1),X1))) = X0,
    inference(superposition,[status(thm)],[c_537,c_468]) ).

tcf(c_707,plain,
    ! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X1)) = X1,
    inference(superposition,[status(thm)],[c_468,c_364]) ).

tcf(c_798,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X1))),inverse(X2))),X2) = X1,
    inference(superposition,[status(thm)],[c_707,c_123]) ).

tcf(c_808,plain,
    ! [X0: $i,X1: $i] : double_divide(inverse(X0),X0) = double_divide(inverse(X1),X1),
    inference(superposition,[status(thm)],[c_707,c_697]) ).

tcf(c_810,plain,
    ! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X1) = X0,
    inference(light_normalisation,[status(thm)],[c_798,c_707]) ).

tcf(c_927,plain,
    ! [X0: $i,X1: $i] : double_divide(inverse(X0),double_divide(inverse(X0),X1)) = X1,
    inference(demodulation,[status(thm)],[c_810,c_494]) ).

tcf(c_928,plain,
    ! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(inverse(X0),double_divide(inverse(X1),X2))) = double_divide(inverse(X1),double_divide(inverse(X2),inverse(X0))),
    inference(superposition,[status(thm)],[c_365,c_927]) ).

tcf(c_931,plain,
    ! [X0: $i,X1: $i] : inverse(double_divide(inverse(X0),X1)) = double_divide(inverse(X1),X0),
    inference(superposition,[status(thm)],[c_364,c_927]) ).

tcf(c_949,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(inverse(double_divide(X0,X1)),X2)) = double_divide(inverse(X1),inverse(X2)),
    inference(demodulation,[status(thm)],[c_365,c_931]) ).

tcf(c_950,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(inverse(X0),X0),inverse(X1)) = X1,
    inference(demodulation,[status(thm)],[c_707,c_931]) ).

tcf(c_951,plain,
    ( ( inverse(double_divide(a4,b4)) != inverse(double_divide(b4,a4)) )
    | ( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) )
    | ( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != double_divide(inverse(a3),double_divide(c3,b3)) )
    | ( inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2 ) ),
    inference(demodulation,[status(thm)],[c_52,c_931]) ).

tcf(c_952,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(inverse(X0),double_divide(X1,inverse(X2))),double_divide(X1,X0)) = X2,
    inference(demodulation,[status(thm)],[c_123,c_931]) ).

tcf(c_1022,plain,
    ! [X0: $i,X1: $i] : double_divide(inverse(double_divide(inverse(X0),X1)),X0) = inverse(X1),
    inference(superposition,[status(thm)],[c_927,c_931]) ).

tcf(c_1027,plain,
    ! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(double_divide(inverse(X0),X1),X2)) = double_divide(inverse(X2),double_divide(inverse(X1),X0)),
    inference(superposition,[status(thm)],[c_931,c_931]) ).

tcf(c_1032,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(inverse(X0),X1),X1) = inverse(X0),
    inference(light_normalisation,[status(thm)],[c_1022,c_931]) ).

tcf(c_1034,plain,
    ! [X0: $i,X1: $i] : inverse(double_divide(double_divide(inverse(X0),X1),X1)) = X0,
    inference(demodulation,[status(thm)],[c_927,c_1027]) ).

tcf(c_1055,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(inverse(X0),X0),X1) = inverse(X1),
    inference(superposition,[status(thm)],[c_808,c_1032]) ).

tcf(c_1058,plain,
    ! [X0: $i] : inverse(inverse(X0)) = X0,
    inference(superposition,[status(thm)],[c_1032,c_950]) ).

tcf(c_1064,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X1) = X0,
    inference(superposition,[status(thm)],[c_1058,c_1032]) ).

tcf(c_1065,plain,
    ! [X0: $i,X1: $i] : double_divide(inverse(X0),inverse(X1)) = inverse(double_divide(X1,X0)),
    inference(superposition,[status(thm)],[c_1058,c_931]) ).

tcf(c_1072,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(X3,double_divide(X0,X1)))) = double_divide(X3,inverse(X2)),
    inference(demodulation,[status(thm)],[c_118,c_367,c_931,c_949,c_1065]) ).

tcf(c_1088,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(X1,double_divide(X2,X0))) = double_divide(X2,inverse(X1)),
    inference(superposition,[status(thm)],[c_1064,c_1072]) ).

tcf(c_1219,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X0) = X1,
    inference(demodulation,[status(thm)],[c_144,c_376,c_928,c_931,c_1027,c_1034]) ).

tcf(c_1222,plain,
    ! [X0: $i,X1: $i] : double_divide(X0,double_divide(X0,X1)) = X1,
    inference(superposition,[status(thm)],[c_1064,c_1219]) ).

tcf(c_1223,plain,
    ! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
    inference(superposition,[status(thm)],[c_1219,c_1219]) ).

tcf(c_1225,plain,
    ! [X0: $i,X1: $i] : double_divide(X0,X1) = double_divide(X1,X0),
    inference(superposition,[status(thm)],[c_1219,c_1064]) ).

tcf(c_1229,plain,
    ( ( inverse(double_divide(a4,b4)) != inverse(double_divide(b4,a4)) )
    | ( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) )
    | ( inverse(double_divide(c3,inverse(double_divide(a3,b3)))) != double_divide(inverse(a3),double_divide(c3,b3)) )
    | ( inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2 ) ),
    inference(demodulation,[status(thm)],[c_951,c_1225]) ).

tcf(c_1248,plain,
    ! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(X1))) = double_divide(inverse(X0),X1),
    inference(superposition,[status(thm)],[c_1225,c_931]) ).

tcf(c_1251,plain,
    ( ( inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) )
    | ( inverse(double_divide(c3,inverse(double_divide(a3,b3)))) != double_divide(inverse(a3),double_divide(c3,b3)) )
    | ( inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2 ) ),
    inference(ground_joinability,[status(thm)],[c_1229,c_1225]) ).

tcf(c_1252,plain,
    ( ( double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1)) )
    | ( double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(c3),double_divide(a3,b3)) )
    | ( double_divide(inverse(a2),double_divide(b2,inverse(b2))) != a2 ) ),
    inference(demodulation,[status(thm)],[c_1251,c_1225,c_1248]) ).

tcf(c_1256,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(X0,inverse(X0)),X1) = inverse(X1),
    inference(demodulation,[status(thm)],[c_1055,c_1225]) ).

tcf(c_1265,plain,
    ! [X0: $i,X1: $i] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
    inference(superposition,[status(thm)],[c_1256,c_1223]) ).

tcf(c_1266,plain,
    ! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,inverse(X1))) = inverse(X0),
    inference(superposition,[status(thm)],[c_1256,c_1225]) ).

tcf(c_1272,plain,
    ( ( inverse(inverse(a2)) != a2 )
    | ( double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1)) )
    | ( double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(c3),double_divide(a3,b3)) ) ),
    inference(demodulation,[status(thm)],[c_1252,c_1266]) ).

tcf(c_1273,plain,
    ( ( inverse(inverse(a2)) != a2 )
    | ( double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(c3),double_divide(a3,b3)) ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1272,c_1265]) ).

tcf(c_1274,plain,
    double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(c3),double_divide(a3,b3)),
    inference(ground_joinability,[status(thm)],[c_1273,c_1058]) ).

tcf(c_1418,plain,
    ! [X0: $i,X1: $i] : inverse(double_divide(X0,inverse(X1))) = double_divide(X1,inverse(X0)),
    inference(superposition,[status(thm)],[c_1058,c_1065]) ).

tcf(c_1445,plain,
    ! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(X0,double_divide(inverse(X1),X2))) = double_divide(inverse(X0),double_divide(inverse(X2),X1)),
    inference(superposition,[status(thm)],[c_931,c_1248]) ).

tcf(c_1447,plain,
    ! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(X0,double_divide(inverse(X1),X2))) = double_divide(inverse(X0),double_divide(X1,inverse(X2))),
    inference(superposition,[status(thm)],[c_1248,c_1248]) ).

tcf(c_1862,plain,
    ! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(double_divide(X0,X1),X2)) = double_divide(double_divide(X2,inverse(X0)),X1),
    inference(demodulation,[status(thm)],[c_291,c_378,c_1418,c_1445]) ).

tcf(c_1884,plain,
    ! [X0: $i,X1: $i,X2: $i] : inverse(double_divide(double_divide(X0,X1),X2)) = double_divide(X1,double_divide(X2,inverse(X0))),
    inference(superposition,[status(thm)],[c_1862,c_1225]) ).

tcf(c_2145,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(double_divide(X0,double_divide(inverse(X1),X2))),double_divide(X1,X0)) = X2,
    inference(light_normalisation,[status(thm)],[c_952,c_1447]) ).

tcf(c_2146,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),inverse(double_divide(X1,double_divide(inverse(X0),X2)))) = X2,
    inference(demodulation,[status(thm)],[c_2145,c_1225]) ).

tcf(c_2171,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),inverse(double_divide(X1,X2))) = double_divide(inverse(X0),X2),
    inference(superposition,[status(thm)],[c_1222,c_2146]) ).

tcf(c_2390,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(X1,inverse(X2))) = double_divide(X2,double_divide(X1,X0)),
    inference(superposition,[status(thm)],[c_1088,c_1222]) ).

tcf(c_3016,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),inverse(X2)) = double_divide(inverse(X0),double_divide(X1,X2)),
    inference(superposition,[status(thm)],[c_1222,c_2171]) ).

tcf(c_3873,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),X2) = double_divide(X2,double_divide(X1,X0)),
    inference(demodulation,[status(thm)],[c_2390,c_1058,c_1862,c_1884]) ).

tcf(c_5704,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(X1,X2)) = double_divide(inverse(X1),double_divide(X2,X0)),
    inference(superposition,[status(thm)],[c_3016,c_1225]) ).

tcf(c_5716,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(inverse(X0),double_divide(X1,X2)) = double_divide(inverse(X2),double_divide(X1,X0)),
    inference(superposition,[status(thm)],[c_3016,c_3873]) ).

tcf(c_5744,plain,
    double_divide(inverse(a3),double_divide(b3,c3)) != double_divide(inverse(b3),double_divide(a3,c3)),
    inference(demodulation,[status(thm)],[c_1274,c_5716]) ).

tcf(c_6098,plain,
    $false,
    inference(ground_joinability,[status(thm)],[c_5744,c_1225,c_5704]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP109-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.58  % Computer : n007.cluster.edu
% 0.09/5.58  % Model    : x86_64 x86_64
% 0.09/5.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.58  % Memory   : 8046.5625MB
% 0.09/5.58  % OS       : Linux 6.8.0-71-generic
% 0.09/5.58  % CPULimit : 300
% 0.09/5.58  % WCLimit  : 300
% 0.09/5.58  % DateTime : Wed Sep 23 13:30:58 UTC 2026
% 0.09/5.58  % CPUTime  : 
% 0.09/5.58  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.62  Running first-order theorem proving
% 0.14/5.62  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
% 0.14/5.63  
% 0.14/5.63  % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.63  
% 0.14/5.63  % Detected problem language: tptp
% 0.14/5.64  % Proving...
% 4.37/6.49  % SZS status Started for theBenchmark.p
% 4.37/6.49  % SZS status Unsatisfiable for theBenchmark.p
% 4.37/6.49  
% 4.37/6.49  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.37/6.49  
% 4.37/6.49  % ------  iProver source info
% 4.37/6.49  
% 4.37/6.49  % git: date: 2026-07-19 20:42:38 +0200
% 4.37/6.49  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.37/6.49  % git: non_committed_changes: false
% 4.37/6.49  
% 4.37/6.49  % ------ Parsing...% successful
% 4.37/6.49  
% 4.37/6.49  
% 4.37/6.49  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.37/6.49  
% 4.37/6.49  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.37/6.49  
% 4.37/6.49  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 4.37/6.49  
% 4.37/6.49  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 4.37/6.49  % ------ Proving...
% 4.37/6.49  % ------ Problem Properties 
% 4.37/6.49  
% 4.37/6.49  % 
% 4.37/6.49  % clauses                               2
% 4.37/6.49  % conjectures                           1
% 4.37/6.49  % EPR                                   0
% 4.37/6.49  % Horn                                  2
% 4.37/6.49  % unary                                 1
% 4.37/6.49  % binary                                0
% 4.37/6.49  % lits                                  5
% 4.37/6.49  % lits eq                               5
% 4.37/6.49  % fd_pure                               0
% 4.37/6.49  % fd_pseudo                             0
% 4.37/6.49  % fd_cond                               0
% 4.37/6.49  % fd_pseudo_cond                        0
% 4.37/6.49  % AC symbols                            0
% 4.37/6.49  
% 4.37/6.49  % ------ Schedule dynamic 5 is on 
% 4.37/6.49  
% 4.37/6.49  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.37/6.49  
% 4.37/6.49  
% 4.37/6.49  % ------ 
% 4.37/6.49  % Current options:
% 4.37/6.49  % ------ 
% 4.37/6.49  
% 4.37/6.49  
% 4.37/6.49  % 
% 4.37/6.49  
% 4.37/6.49  % ------ Proving...
% 4.37/6.49  % 
% 4.37/6.49  
% 4.37/6.49  % SZS status Unsatisfiable for theBenchmark.p
% 4.37/6.49  
% 4.37/6.49  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.37/6.50  
% 4.37/6.50  
%------------------------------------------------------------------------------