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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GRP707-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n013.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 : Tue Sep 29 10:18:37 AM UTC 2026

% Result   : Unsatisfiable 5.63s 1.21s
% Output   : Refutation 5.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :   10
% Syntax   : Number of formulae    :  113 ( 113 unt;   0 def)
%            Number of atoms       :  113 ( 112 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  209 ( 209   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).

fof(f2,axiom,
    ! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).

fof(f3,axiom,
    ! [X0,X1] : mult(rd(X0,X1),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).

fof(f4,axiom,
    ! [X0,X1] : rd(mult(X0,X1),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).

fof(f5,axiom,
    ! [X0] : mult(X0,unit) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).

fof(f6,axiom,
    ! [X0] : mult(unit,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).

fof(f7,axiom,
    ! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).

fof(f8,axiom,
    ! [X0] : mult(X0,mult(X0,mult(X0,X0))) = unit,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).

fof(f9,plain,
    ! [X0] : unit = mult(X0,mult(X0,mult(X0,X0))),
    inference(reorient_equations,[],[f8]) ).

fof(f10,axiom,
    ! [X0,X1] : mult(mult(X0,X0),X1) = mult(X1,mult(X0,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).

fof(f11,negated_conjecture,
    mult(mult(a,b),a) != mult(a,mult(b,a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f22,plain,
    ! [X0,X1] : ld(rd(X0,X1),X0) = X1,
    inference(superposition,[],[f2,f3]) ).

fof(f25,plain,
    ! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
    inference(superposition,[],[f4,f1]) ).

fof(f43,plain,
    ! [X0] : mult(X0,mult(X0,X0)) = ld(X0,unit),
    inference(superposition,[],[f2,f9]) ).

fof(f95,plain,
    ! [X0,X1] : mult(mult(X1,X1),rd(X0,mult(X1,X1))) = X0,
    inference(superposition,[],[f10,f3]) ).

fof(f96,plain,
    ! [X0,X1] : mult(X1,X1) = rd(mult(X0,mult(X1,X1)),X0),
    inference(superposition,[],[f4,f10]) ).

fof(f100,plain,
    ! [X0,X1] : mult(X0,X0) = ld(X1,mult(mult(X0,X0),X1)),
    inference(superposition,[],[f2,f10]) ).

fof(f110,plain,
    ! [X0,X1] : ld(mult(X1,X1),X0) = rd(X0,mult(X1,X1)),
    inference(superposition,[],[f2,f95]) ).

fof(f116,plain,
    ! [X0] : mult(X0,X0) = rd(ld(X0,unit),X0),
    inference(superposition,[],[f96,f43]) ).

fof(f414,plain,
    ! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,mult(X1,X2))) = mult(mult(X0,X1),X2),
    inference(superposition,[],[f7,f3]) ).

fof(f416,plain,
    ! [X0,X1] : mult(mult(X0,X0),X1) = mult(unit,mult(X0,mult(X0,X1))),
    inference(superposition,[],[f7,f6]) ).

fof(f417,plain,
    ! [X0,X1] : mult(mult(X0,mult(X0,X0)),X1) = mult(X0,mult(X0,mult(X0,X1))),
    inference(superposition,[],[f7,f10]) ).

fof(f450,plain,
    ! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,mult(X1,unit))),
    inference(superposition,[],[f5,f7]) ).

fof(f451,plain,
    ! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
    inference(forward_demodulation,[],[f450,f5]) ).

fof(f464,plain,
    ! [X0,X1] : mult(X0,mult(X0,mult(X0,X1))) = mult(ld(X0,unit),X1),
    inference(forward_demodulation,[],[f417,f43]) ).

fof(f465,plain,
    ! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
    inference(forward_demodulation,[],[f416,f6]) ).

fof(f487,plain,
    ! [X0,X1] : mult(X0,X1) = mult(rd(X0,X1),mult(X1,X1)),
    inference(superposition,[],[f451,f3]) ).

fof(f498,plain,
    ! [X0,X1] : mult(X0,X1) = rd(mult(X0,mult(X1,X1)),X1),
    inference(superposition,[],[f4,f451]) ).

fof(f518,plain,
    ! [X0,X1] : mult(X0,mult(X1,X1)) = mult(X1,mult(X1,X0)),
    inference(superposition,[],[f465,f10]) ).

fof(f525,plain,
    ! [X0,X1] : mult(X0,X0) = ld(X1,mult(X0,mult(X0,X1))),
    inference(superposition,[],[f100,f465]) ).

fof(f549,plain,
    ! [X0] : ld(mult(X0,X0),unit) = mult(X0,mult(X0,mult(mult(X0,X0),mult(X0,X0)))),
    inference(superposition,[],[f43,f465]) ).

fof(f562,plain,
    ! [X0] : ld(mult(X0,X0),unit) = mult(X0,mult(X0,mult(X0,mult(X0,mult(X0,X0))))),
    inference(forward_demodulation,[],[f549,f465]) ).

fof(f590,plain,
    ! [X0] : ld(mult(X0,X0),unit) = mult(X0,mult(X0,unit)),
    inference(forward_demodulation,[],[f562,f9]) ).

fof(f610,plain,
    ! [X0] : mult(X0,X0) = ld(mult(X0,X0),unit),
    inference(forward_demodulation,[],[f590,f5]) ).

fof(f654,plain,
    ! [X0] : mult(mult(X0,X0),mult(X0,X0)) = mult(ld(X0,unit),X0),
    inference(superposition,[],[f487,f116]) ).

fof(f668,plain,
    ! [X0,X1] : mult(X0,X1) = mult(mult(X1,X1),rd(X0,X1)),
    inference(superposition,[],[f10,f487]) ).

fof(f669,plain,
    ! [X0,X1] : mult(mult(X0,X1),mult(X1,X1)) = mult(rd(X0,X1),mult(mult(X1,X1),mult(X1,X1))),
    inference(superposition,[],[f451,f487]) ).

fof(f675,plain,
    ! [X0,X1] : mult(mult(X0,X1),mult(X1,X1)) = mult(rd(X0,X1),mult(X1,mult(X1,mult(X1,X1)))),
    inference(forward_demodulation,[],[f669,f465]) ).

fof(f676,plain,
    ! [X0,X1] : mult(X0,X1) = mult(X1,mult(X1,rd(X0,X1))),
    inference(forward_demodulation,[],[f668,f465]) ).

fof(f686,plain,
    ! [X0] : mult(X0,mult(X0,mult(X0,X0))) = mult(ld(X0,unit),X0),
    inference(forward_demodulation,[],[f654,f465]) ).

fof(f692,plain,
    ! [X0,X1] : mult(mult(X0,X1),mult(X1,X1)) = mult(rd(X0,X1),unit),
    inference(forward_demodulation,[],[f675,f9]) ).

fof(f699,plain,
    ! [X0] : unit = mult(ld(X0,unit),X0),
    inference(forward_demodulation,[],[f686,f9]) ).

fof(f703,plain,
    ! [X0,X1] : rd(X0,X1) = mult(mult(X0,X1),mult(X1,X1)),
    inference(forward_demodulation,[],[f692,f5]) ).

fof(f720,plain,
    ! [X0] : ld(X0,unit) = rd(unit,X0),
    inference(superposition,[],[f4,f699]) ).

fof(f898,plain,
    ! [X0,X1] : mult(mult(X1,X1),mult(mult(X1,X1),X0)) = mult(ld(mult(X1,X1),unit),rd(X0,mult(X1,X1))),
    inference(superposition,[],[f464,f95]) ).

fof(f941,plain,
    ! [X0,X1] : mult(mult(X1,X1),mult(mult(X1,X1),X0)) = mult(ld(mult(X1,X1),unit),ld(mult(X1,X1),X0)),
    inference(forward_demodulation,[],[f898,f110]) ).

fof(f962,plain,
    ! [X0,X1] : mult(mult(X1,X1),ld(mult(X1,X1),X0)) = mult(mult(X1,X1),mult(mult(X1,X1),X0)),
    inference(forward_demodulation,[],[f941,f610]) ).

fof(f979,plain,
    ! [X0,X1] : mult(mult(X1,X1),ld(mult(X1,X1),X0)) = mult(X1,mult(X1,mult(mult(X1,X1),X0))),
    inference(forward_demodulation,[],[f962,f465]) ).

fof(f988,plain,
    ! [X0,X1] : mult(mult(X1,X1),ld(mult(X1,X1),X0)) = mult(X1,mult(X1,mult(X1,mult(X1,X0)))),
    inference(forward_demodulation,[],[f979,f465]) ).

fof(f995,plain,
    ! [X0,X1] : mult(mult(X1,X1),ld(mult(X1,X1),X0)) = mult(ld(X1,unit),mult(X1,X0)),
    inference(forward_demodulation,[],[f988,f464]) ).

fof(f1001,plain,
    ! [X0,X1] : mult(ld(X1,unit),mult(X1,X0)) = X0,
    inference(forward_demodulation,[],[f995,f1]) ).

fof(f1011,plain,
    ! [X0,X1] : ld(X1,X0) = mult(ld(X1,unit),X0),
    inference(superposition,[],[f1001,f1]) ).

fof(f1038,plain,
    ! [X0,X1] : ld(X1,unit) = rd(X0,mult(X1,X0)),
    inference(superposition,[],[f4,f1001]) ).

fof(f1119,plain,
    ! [X0,X1] : mult(ld(X0,unit),mult(X1,X1)) = mult(ld(X0,X1),X1),
    inference(superposition,[],[f451,f1011]) ).

fof(f1121,plain,
    ! [X0,X1] : ld(X0,unit) = rd(ld(X0,X1),X1),
    inference(superposition,[],[f4,f1011]) ).

fof(f1143,plain,
    ! [X0,X1] : mult(ld(X0,X1),X1) = ld(X0,mult(X1,X1)),
    inference(forward_demodulation,[],[f1119,f1011]) ).

fof(f1666,plain,
    ! [X0,X1] : mult(X1,X0) = rd(mult(mult(X0,X0),X1),X0),
    inference(superposition,[],[f498,f10]) ).

fof(f1705,plain,
    ! [X0,X1] : mult(X1,X0) = rd(mult(X0,mult(X0,X1)),X0),
    inference(forward_demodulation,[],[f1666,f465]) ).

fof(f2266,plain,
    ! [X0,X1] : mult(mult(X1,X1),mult(X1,X1)) = ld(rd(X0,mult(X1,X1)),mult(mult(X1,X1),X0)),
    inference(superposition,[],[f525,f95]) ).

fof(f2301,plain,
    ! [X0,X1] : mult(mult(X1,X1),mult(X1,X1)) = ld(rd(X0,mult(X1,X1)),mult(X1,mult(X1,X0))),
    inference(forward_demodulation,[],[f2266,f465]) ).

fof(f2320,plain,
    ! [X0,X1] : mult(mult(X1,X1),mult(X1,X1)) = ld(ld(mult(X1,X1),X0),mult(X1,mult(X1,X0))),
    inference(forward_demodulation,[],[f2301,f110]) ).

fof(f2334,plain,
    ! [X0,X1] : mult(X1,mult(X1,mult(X1,X1))) = ld(ld(mult(X1,X1),X0),mult(X1,mult(X1,X0))),
    inference(forward_demodulation,[],[f2320,f518]) ).

fof(f2342,plain,
    ! [X0,X1] : unit = ld(ld(mult(X1,X1),X0),mult(X1,mult(X1,X0))),
    inference(forward_demodulation,[],[f2334,f9]) ).

fof(f2950,plain,
    ! [X0,X1] : mult(mult(X0,X1),X1) = mult(X1,mult(X1,X0)),
    inference(superposition,[],[f676,f4]) ).

fof(f2971,plain,
    ! [X0,X1] : mult(X1,mult(X0,X1)) = mult(ld(X1,unit),rd(X0,X1)),
    inference(superposition,[],[f464,f676]) ).

fof(f2972,plain,
    ! [X0,X1] : mult(X1,rd(X0,X1)) = ld(X1,mult(X0,X1)),
    inference(superposition,[],[f2,f676]) ).

fof(f2973,plain,
    ! [X0,X1] : rd(mult(X0,X1),mult(X1,rd(X0,X1))) = X1,
    inference(superposition,[],[f4,f676]) ).

fof(f3000,plain,
    ! [X0,X1] : mult(X1,mult(X0,X1)) = ld(X1,rd(X0,X1)),
    inference(forward_demodulation,[],[f2971,f1011]) ).

fof(f3188,plain,
    ! [X0,X1] : rd(X0,X1) = mult(X1,mult(X1,mult(X0,X1))),
    inference(forward_demodulation,[],[f703,f518]) ).

fof(f3651,plain,
    ! [X0,X1] : mult(mult(X0,X1),X0) = rd(mult(ld(X0,unit),X1),X0),
    inference(superposition,[],[f1705,f464]) ).

fof(f3695,plain,
    ! [X0,X1] : mult(mult(X0,X1),X0) = rd(ld(X0,X1),X0),
    inference(forward_demodulation,[],[f3651,f1011]) ).

fof(f7776,plain,
    ! [X0,X1] : mult(X0,mult(X0,mult(X1,X0))) = mult(X1,mult(X0,mult(X0,X0))),
    inference(superposition,[],[f7,f2950]) ).

fof(f7844,plain,
    ! [X0,X1] : mult(X1,ld(X0,unit)) = mult(X0,mult(X0,mult(X1,X0))),
    inference(forward_demodulation,[],[f7776,f43]) ).

fof(f7891,plain,
    ! [X0,X1] : rd(X1,X0) = mult(X1,ld(X0,unit)),
    inference(forward_demodulation,[],[f7844,f3188]) ).

fof(f8029,plain,
    ! [X0,X1] : ld(X1,unit) = ld(X0,rd(X0,X1)),
    inference(superposition,[],[f2,f7891]) ).

fof(f8423,plain,
    ! [X0,X1] : ld(X1,X0) = ld(ld(X0,X1),unit),
    inference(superposition,[],[f8029,f25]) ).

fof(f8429,plain,
    ! [X0,X1] : ld(mult(X0,X1),unit) = ld(X1,ld(X0,unit)),
    inference(superposition,[],[f8029,f1038]) ).

fof(f8708,plain,
    ! [X2,X0,X1] : mult(ld(X0,X1),X2) = ld(ld(X1,X0),X2),
    inference(superposition,[],[f1011,f8423]) ).

fof(f9351,plain,
    ! [X0,X1] : rd(mult(ld(X0,X1),X1),mult(X1,ld(X0,unit))) = X1,
    inference(superposition,[],[f2973,f1121]) ).

fof(f9401,plain,
    ! [X0,X1] : rd(mult(ld(X0,X1),X1),rd(X1,X0)) = X1,
    inference(forward_demodulation,[],[f9351,f7891]) ).

fof(f9722,plain,
    ! [X0,X1] : mult(mult(X1,X0),X0) = mult(rd(X1,X0),ld(X0,unit)),
    inference(superposition,[],[f414,f43]) ).

fof(f9781,plain,
    ! [X0,X1] : mult(mult(X1,X0),X0) = rd(rd(X1,X0),X0),
    inference(forward_demodulation,[],[f9722,f7891]) ).

fof(f9842,plain,
    ! [X0,X1] : mult(X1,mult(X0,X0)) = rd(rd(X1,X0),X0),
    inference(forward_demodulation,[],[f9781,f451]) ).

fof(f9990,plain,
    ! [X0,X1] : ld(mult(X0,mult(X1,X1)),rd(X0,X1)) = X1,
    inference(superposition,[],[f22,f9842]) ).

fof(f10186,plain,
    ! [X0,X1] : ld(mult(mult(X1,mult(X0,X0)),mult(X1,X1)),mult(X0,X0)) = X1,
    inference(superposition,[],[f9990,f96]) ).

fof(f10237,plain,
    ! [X0,X1] : mult(ld(mult(mult(X1,mult(X0,X0)),mult(X1,X1)),X0),X0) = X1,
    inference(forward_demodulation,[],[f10186,f1143]) ).

fof(f10294,plain,
    ! [X0,X1] : mult(ld(mult(X1,mult(X1,mult(X1,mult(X0,X0)))),X0),X0) = X1,
    inference(forward_demodulation,[],[f10237,f518]) ).

fof(f10336,plain,
    ! [X0,X1] : mult(ld(mult(ld(X1,unit),mult(X0,X0)),X0),X0) = X1,
    inference(forward_demodulation,[],[f10294,f464]) ).

fof(f10360,plain,
    ! [X0,X1] : mult(ld(ld(X1,mult(X0,X0)),X0),X0) = X1,
    inference(forward_demodulation,[],[f10336,f1011]) ).

fof(f10373,plain,
    ! [X0,X1] : mult(ld(mult(ld(X1,X0),X0),X0),X0) = X1,
    inference(forward_demodulation,[],[f10360,f1143]) ).

fof(f15468,plain,
    ! [X0,X1] : mult(ld(X1,X0),X0) = mult(X0,rd(X0,X1)),
    inference(superposition,[],[f3,f9401]) ).

fof(f30619,plain,
    ! [X0,X1] : unit = mult(ld(X0,mult(X1,X1)),mult(X1,mult(X1,X0))),
    inference(forward_demodulation,[],[f2342,f8708]) ).

fof(f30620,plain,
    ! [X0,X1] : unit = mult(mult(ld(X0,X1),X1),mult(X1,mult(X1,X0))),
    inference(forward_demodulation,[],[f30619,f1143]) ).

fof(f30621,plain,
    ! [X0,X1] : unit = mult(mult(X1,rd(X1,X0)),mult(X1,mult(X1,X0))),
    inference(forward_demodulation,[],[f30620,f15468]) ).

fof(f30761,plain,
    ! [X0,X1] : mult(X0,rd(X0,X1)) = rd(unit,mult(X0,mult(X0,X1))),
    inference(superposition,[],[f4,f30621]) ).

fof(f30866,plain,
    ! [X0,X1] : ld(mult(X0,mult(X0,X1)),unit) = mult(X0,rd(X0,X1)),
    inference(forward_demodulation,[],[f30761,f720]) ).

fof(f31009,plain,
    ! [X0,X1] : mult(X0,rd(X0,X1)) = ld(mult(X0,X1),ld(X0,unit)),
    inference(forward_demodulation,[],[f30866,f8429]) ).

fof(f41334,plain,
    ! [X0,X1] : mult(ld(mult(ld(X0,X1),X1),X1),rd(ld(mult(ld(X0,X1),X1),X1),X1)) = ld(X0,ld(ld(mult(ld(X0,X1),X1),X1),unit)),
    inference(superposition,[],[f31009,f10373]) ).

fof(f41579,plain,
    ! [X0,X1] : mult(ld(mult(ld(X0,X1),X1),X1),rd(ld(mult(ld(X0,X1),X1),X1),X1)) = ld(X0,ld(X1,mult(ld(X0,X1),X1))),
    inference(forward_demodulation,[],[f41334,f8423]) ).

fof(f41698,plain,
    ! [X0,X1] : mult(ld(mult(ld(X0,X1),X1),X1),rd(ld(mult(ld(X0,X1),X1),X1),X1)) = ld(X0,mult(X1,rd(ld(X0,X1),X1))),
    inference(forward_demodulation,[],[f41579,f2972]) ).

fof(f41789,plain,
    ! [X0,X1] : ld(X0,mult(X1,ld(X0,unit))) = mult(ld(mult(ld(X0,X1),X1),X1),rd(ld(mult(ld(X0,X1),X1),X1),X1)),
    inference(forward_demodulation,[],[f41698,f1121]) ).

fof(f41858,plain,
    ! [X0,X1] : ld(X0,mult(X1,ld(X0,unit))) = mult(ld(mult(ld(X0,X1),X1),X1),ld(mult(ld(X0,X1),X1),unit)),
    inference(forward_demodulation,[],[f41789,f1121]) ).

fof(f41916,plain,
    ! [X0,X1] : ld(X0,mult(X1,ld(X0,unit))) = rd(ld(mult(ld(X0,X1),X1),X1),mult(ld(X0,X1),X1)),
    inference(forward_demodulation,[],[f41858,f7891]) ).

fof(f41957,plain,
    ! [X0,X1] : ld(X0,mult(X1,ld(X0,unit))) = mult(mult(mult(ld(X0,X1),X1),X1),mult(ld(X0,X1),X1)),
    inference(forward_demodulation,[],[f41916,f3695]) ).

fof(f41983,plain,
    ! [X0,X1] : ld(X0,mult(X1,ld(X0,unit))) = mult(ld(X0,X1),mult(X1,mult(X1,mult(ld(X0,X1),X1)))),
    inference(forward_demodulation,[],[f41957,f7]) ).

fof(f42004,plain,
    ! [X0,X1] : ld(X0,mult(X1,ld(X0,unit))) = mult(ld(X0,X1),rd(ld(X0,X1),X1)),
    inference(forward_demodulation,[],[f41983,f3188]) ).

fof(f42014,plain,
    ! [X0,X1] : ld(X0,mult(X1,ld(X0,unit))) = mult(ld(X0,X1),ld(X0,unit)),
    inference(forward_demodulation,[],[f42004,f1121]) ).

fof(f42017,plain,
    ! [X0,X1] : rd(ld(X0,X1),X0) = ld(X0,mult(X1,ld(X0,unit))),
    inference(forward_demodulation,[],[f42014,f7891]) ).

fof(f42019,plain,
    ! [X0,X1] : ld(X0,rd(X1,X0)) = rd(ld(X0,X1),X0),
    inference(forward_demodulation,[],[f42017,f7891]) ).

fof(f42021,plain,
    ! [X0,X1] : ld(X0,rd(X1,X0)) = mult(mult(X0,X1),X0),
    inference(forward_demodulation,[],[f42019,f3695]) ).

fof(f42022,plain,
    ! [X0,X1] : mult(X0,mult(X1,X0)) = mult(mult(X0,X1),X0),
    inference(forward_demodulation,[],[f42021,f3000]) ).

fof(f42112,plain,
    mult(a,mult(b,a)) != mult(a,mult(b,a)),
    inference(superposition,[],[f11,f42022]) ).

fof(f42209,plain,
    $false,
    inference(trivial_inequality_removal,[],[f42112]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP707-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37  % Computer : n013.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 10:36:21 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41  Running first-order model finding
% 0.11/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.63/1.21  % (28631)Will run a generic schedule for satisfiability detection.
% 5.63/1.21  % (28640)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=592177239:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.63/1.21  % (28638)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1749211337:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.63/1.21  % (28636)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3321235672_2999 on theBenchmark for (2999ds/0Mi)
% 5.63/1.21  % (28641)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3025485883:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.63/1.21  % (28639)dis+10_1_sil=32000:sp=arity:random_seed=3937469473:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.63/1.21  % (28642)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2697665913:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.63/1.21  % TRYING [1]
% 5.63/1.21  % TRYING [2]
% 5.63/1.21  % TRYING [3]
% 5.63/1.21  % TRYING [4]
% 5.63/1.21  % TRYING [5]
% 5.63/1.21  % (28637)% WARNING: option uhcvi not known.
% 5.63/1.21  % (28637)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1181337834:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.63/1.21  % TRYING [6]
% 5.63/1.21  % (28640)Instruction limit reached! 
% 5.63/1.21  % (28640)------------------------------
% 5.63/1.21  % (28640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.21  % (28640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.21  % (28640)CaDiCaL version: 2.1.3
% 5.63/1.21  % (28640)Termination reason: Instruction limit
% 5.63/1.21  % (28640)Termination phase: Saturation
% 5.63/1.21  % (28640)Time elapsed: 0.038 s
% 5.63/1.21  % (28640)Peak memory usage: 12 MB
% 5.63/1.21  % (28640)Instructions burned: 119 (million)
% 5.63/1.21  % (28663)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3144134545:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.63/1.21  % TRYING [1]
% 5.63/1.21  % TRYING [2]
% 5.63/1.21  % TRYING [3]
% 5.63/1.21  % TRYING [4]
% 5.63/1.21  % TRYING [5]
% 5.63/1.21  % (28639)Instruction limit reached! 
% 5.63/1.21  % (28639)------------------------------
% 5.63/1.21  % (28639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.21  % (28639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.21  % (28639)CaDiCaL version: 2.1.3
% 5.63/1.21  % (28639)Termination reason: Instruction limit
% 5.63/1.21  % (28639)Termination phase: Saturation
% 5.63/1.21  % (28639)Time elapsed: 0.056 s
% 5.63/1.21  % (28639)Peak memory usage: 12 MB
% 5.63/1.21  % (28639)Instructions burned: 103 (million)
% 5.63/1.21  % TRYING [6]
% 5.63/1.21  % TRYING [7]
% 5.63/1.21  % (28641)Instruction limit reached! 
% 5.63/1.21  % (28641)------------------------------
% 5.63/1.21  % (28641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.21  % (28641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.21  % (28641)CaDiCaL version: 2.1.3
% 5.63/1.21  % (28641)Termination reason: Instruction limit
% 5.63/1.21  % (28641)Termination phase: Saturation
% 5.63/1.21  % (28641)Time elapsed: 0.074 s
% 5.63/1.21  % (28641)Peak memory usage: 12 MB
% 5.63/1.21  % (28641)Instructions burned: 132 (million)
% 5.63/1.21  % (28670)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=386620811:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.63/1.21  % TRYING [7]
% 5.63/1.21  % (28678)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3673981475:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.63/1.21  % (28642)Instruction limit reached! 
% 5.63/1.21  % (28642)------------------------------
% 5.63/1.21  % (28642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.21  % (28642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.21  % (28642)CaDiCaL version: 2.1.3
% 5.63/1.21  % (28642)Termination reason: Instruction limit
% 5.63/1.21  % (28642)Termination phase: Saturation
% 5.63/1.21  % (28642)Time elapsed: 0.100 s
% 5.63/1.21  % (28642)Peak memory usage: 12 MB
% 5.63/1.21  % (28642)Instructions burned: 160 (million)
% 5.63/1.21  % (28692)ott-21_1_sil=16000:fs=off:random_seed=3568288405:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.63/1.21  % TRYING [8]
% 5.63/1.21  % TRYING [8]
% 5.63/1.21  % (28670)Instruction limit reached! 
% 5.63/1.21  % (28670)------------------------------
% 5.63/1.21  % (28670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.21  % (28670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.21  % (28670)CaDiCaL version: 2.1.3
% 5.63/1.21  % (28670)Termination reason: Instruction limit
% 5.63/1.21  % (28670)Termination phase: Saturation
% 5.63/1.21  % (28670)Time elapsed: 0.084 s
% 5.63/1.21  % (28670)Peak memory usage: 12 MB
% 5.63/1.21  % (28670)Instructions burned: 132 (million)
% 5.63/1.21  % (28722)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1233329118:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.63/1.21  % (28663)Instruction limit reached! 
% 5.63/1.21  % (28663)------------------------------
% 5.63/1.21  % (28663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.21  % (28663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.21  % (28663)CaDiCaL version: 2.1.3
% 5.63/1.21  % (28663)Termination reason: Instruction limit
% 5.63/1.21  % (28663)Termination phase: Finite model building SAT solving
% 5.63/1.21  % (28663)Time elapsed: 0.157 s
% 5.63/1.21  % (28663)Peak memory usage: 30 MB
% 5.63/1.21  % (28663)Instructions burned: 716 (million)
% 5.63/1.21  % (28730)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=516521777:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.63/1.21  % TRYING [1]
% 5.63/1.21  % TRYING [2]
% 5.63/1.21  % TRYING [3]
% 5.63/1.21  % TRYING [4]
% 5.63/1.21  % TRYING [5]
% 5.63/1.21  % (28692)Instruction limit reached! 
% 5.63/1.21  % (28692)------------------------------
% 5.63/1.21  % (28692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.21  % (28692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.21  % (28692)CaDiCaL version: 2.1.3
% 5.63/1.21  % (28692)Termination reason: Instruction limit
% 5.63/1.21  % (28692)Termination phase: Saturation
% 5.63/1.21  % (28692)Time elapsed: 0.105 s
% 5.63/1.21  % (28692)Peak memory usage: 12 MB
% 5.63/1.21  % (28692)Instructions burned: 180 (million)
% 5.63/1.21  % TRYING [6]
% 5.63/1.21  % (28740)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2411254536:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 5.63/1.21  % TRYING [9]
% 5.63/1.21  % TRYING [7]
% 5.63/1.21  % TRYING [8]
% 5.63/1.21  % (28730)Instruction limit reached! 
% 5.63/1.21  % (28730)------------------------------
% 5.63/1.21  % (28730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.21  % (28730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.21  % (28730)CaDiCaL version: 2.1.3
% 5.63/1.21  % (28730)Termination reason: Instruction limit
% 5.63/1.21  % (28730)Termination phase: Finite model building constraint generation
% 5.63/1.21  % (28730)Time elapsed: 0.173 s
% 5.63/1.21  % (28730)Peak memory usage: 22 MB
% 5.63/1.21  % (28730)Instructions burned: 866 (million)
% 5.63/1.21  % (28765)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3505629469:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 5.63/1.21  % TRYING [14]
% 5.63/1.21  % (28722)Instruction limit reached! 
% 5.63/1.21  % (28722)------------------------------
% 5.63/1.21  % (28722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.21  % (28722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.21  % (28722)CaDiCaL version: 2.1.3
% 5.63/1.21  % (28722)Termination reason: Instruction limit
% 5.63/1.21  % (28722)Termination phase: Saturation
% 5.63/1.21  % (28722)Time elapsed: 0.278 s
% 5.63/1.21  % (28722)Peak memory usage: 15 MB
% 5.63/1.21  % (28722)Instructions burned: 478 (million)
% 5.63/1.21  % (28678)Instruction limit reached! 
% 5.63/1.21  % (28678)------------------------------
% 5.63/1.21  % (28678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.21  % (28678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.21  % (28678)CaDiCaL version: 2.1.3
% 5.63/1.21  % (28678)Termination reason: Instruction limit
% 5.63/1.21  % (28678)Termination phase: Saturation
% 5.63/1.21  % (28678)Time elapsed: 0.374 s
% 5.63/1.21  % (28678)Peak memory usage: 17 MB
% 5.63/1.21  % (28678)Instructions burned: 684 (million)
% 5.63/1.21  % (28767)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=160534497:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 5.63/1.21  % (28768)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4030972434:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 5.63/1.21  % (28765)Instruction limit reached! 
% 5.63/1.21  % (28765)------------------------------
% 5.63/1.21  % (28765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.21  % (28765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.21  % (28765)CaDiCaL version: 2.1.3
% 5.63/1.21  % (28765)Termination reason: Instruction limit
% 5.63/1.21  % (28765)Termination phase: Finite model building constraint generation
% 5.63/1.21  % (28765)Time elapsed: 0.175 s
% 5.63/1.21  % (28765)Peak memory usage: 79 MB
% 5.63/1.21  % (28765)Instructions burned: 890 (million)
% 5.63/1.21  % (28771)fmb+10_1_sil=64000:random_seed=1296673055:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 5.63/1.21  % TRYING [1]
% 5.63/1.21  % TRYING [2]
% 5.63/1.21  % TRYING [3]
% 5.63/1.21  % TRYING [4]
% 5.63/1.21  % TRYING [5]
% 5.63/1.21  % TRYING [6]
% 5.63/1.21  % TRYING [7]
% 5.63/1.21  % TRYING [8]
% 5.63/1.21  % (28638) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-28631-28638"...
% 5.63/1.21  % (28638)...printing done.
% 5.63/1.21  % (28638)Refutation found. Thanks to Tanya!
% 5.63/1.21  % SZS status Unsatisfiable for theBenchmark
% 5.63/1.21  % SZS output start Proof for theBenchmark
% See solution above
% 5.63/1.21  % (28638)------------------------------
% 5.63/1.21  % (28638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.63/1.21  % (28638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.21  % (28638)CaDiCaL version: 2.1.3
% 5.63/1.21  % (28638)Termination reason: Refutation
% 5.63/1.21  % (28638)Time elapsed: 0.747 s
% 5.63/1.21  % (28638)Peak memory usage: 23 MB
% 5.63/1.21  % (28638)Instructions burned: 1474 (million)
% 5.63/1.21  % (28631)Success in time 0.79 s
% 5.63/1.21  % Vampire exiting
%------------------------------------------------------------------------------