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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : BOO020-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n011.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 : Thu Sep 24 12:06:24 PM UTC 2026

% Result   : Unsatisfiable 113.07s 14.79s
% Output   : CNFRefutation 113.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   44
%            Number of leaves      :    7
% Syntax   : Number of formulae    :  116 (  67 unt;   3 def)
%            Number of atoms       :  168 ( 140 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  101 (  49   ~;  49   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :  213 ( 213   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] : add(X,X) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y,Z,U] :
      ( add(add(add(X,Y),Z),inverse(U)) = n0
      | add(add(add(X,Y),Z),U) != add(add(Y,Z),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y,Z,U] :
      ( add(add(add(X,Y),Z),U) = add(add(Y,Z),X)
      | add(add(add(X,Y),Z),inverse(U)) != n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ( add(b,a) != add(a,b)
    | add(add(a,b),c) != add(a,add(b,c))
    | add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) != b ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,plain,
    ! [X0] : add(X0,X0) = X0,
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f6,plain,
    ! [X0,X1,X2,X3] :
      ( add(add(add(X0,X1),X2),inverse(X3)) = n0
      | add(add(add(X0,X1),X2),X3) != add(add(X1,X2),X0) ),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f7,plain,
    ! [X0,X1,X2,X3] :
      ( add(add(add(X0,X1),X2),X3) = add(add(X1,X2),X0)
      | add(add(add(X0,X1),X2),inverse(X3)) != n0 ),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f8,plain,
    ( add(b,a) != add(a,b)
    | add(add(a,b),c) != add(a,add(b,c))
    | add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) != b ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f9,definition,
    ( sQ0_spl
  <=> add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) = b ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f11,plain,
    ( sQ0_spl
    | add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) != b ),
    inference(component_clause,[status(thm)],[f9]) ).

fof(f12,definition,
    ( sQ1_spl
  <=> add(add(a,b),c) = add(a,add(b,c)) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f14,plain,
    ( sQ1_spl
    | add(add(a,b),c) != add(a,add(b,c)) ),
    inference(component_clause,[status(thm)],[f12]) ).

fof(f15,definition,
    ( sQ2_spl
  <=> add(b,a) = add(a,b) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f17,plain,
    ( sQ2_spl
    | add(b,a) != add(a,b) ),
    inference(component_clause,[status(thm)],[f15]) ).

fof(f18,plain,
    ( ~ sQ2_spl
    | ~ sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f8,f9,f12,f15]) ).

fof(f19,plain,
    ! [X0] : add(add(add(X0,X0),X0),inverse(add(add(X0,X0),X0))) = n0,
    inference(resolution,[status(thm)],[f6,f5]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( add(add(add(X0,X0),X1),inverse(X2)) = n0
      | add(add(X0,X1),X2) != add(add(X0,X1),X0) ),
    inference(paramodulation,[status(thm)],[f5,f6]) ).

fof(f23,plain,
    ! [X0] : add(add(X0,X0),inverse(add(add(X0,X0),X0))) = n0,
    inference(forward_demodulation,[status(thm)],[f5,f19]) ).

fof(f24,plain,
    ! [X0] : add(X0,inverse(add(add(X0,X0),X0))) = n0,
    inference(forward_demodulation,[status(thm)],[f5,f23]) ).

fof(f25,plain,
    ! [X0] : add(X0,inverse(add(X0,X0))) = n0,
    inference(forward_demodulation,[status(thm)],[f5,f24]) ).

fof(f26,plain,
    ! [X0] : add(X0,inverse(X0)) = n0,
    inference(forward_demodulation,[status(thm)],[f5,f25]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( add(add(X0,X1),inverse(X2)) = n0
      | add(add(X0,X1),X2) != add(add(X0,X1),X0) ),
    inference(forward_demodulation,[status(thm)],[f5,f22]) ).

fof(f174,plain,
    ! [X0,X1] : add(add(X0,X1),inverse(X0)) = n0,
    inference(equality_resolution,[status(thm)],[f28]) ).

fof(f244,plain,
    ! [X0] : add(n0,inverse(X0)) = n0,
    inference(paramodulation,[status(thm)],[f26,f174]) ).

fof(f451,plain,
    ! [X0,X1,X2] : add(add(add(X0,X1),X2),add(add(X0,X1),X2)) = add(add(X1,X2),X0),
    inference(resolution,[status(thm)],[f7,f26]) ).

fof(f454,plain,
    ! [X0,X1,X2] :
      ( add(add(add(X1,X2),inverse(X1)),X0) = add(add(X2,inverse(X1)),X1)
      | add(n0,inverse(X0)) != n0 ),
    inference(paramodulation,[status(thm)],[f174,f7]) ).

fof(f456,plain,
    ! [X0,X1,X2] :
      ( add(add(add(X0,X1),add(X0,X1)),X2) = add(add(X1,add(X0,X1)),X0)
      | add(add(X0,X1),inverse(X2)) != n0 ),
    inference(paramodulation,[status(thm)],[f5,f7]) ).

fof(f459,plain,
    ! [X0,X1,X2] :
      ( add(add(add(X2,inverse(X2)),X0),X1) = add(add(inverse(X2),X0),X2)
      | add(add(n0,X0),inverse(X1)) != n0 ),
    inference(paramodulation,[status(thm)],[f26,f7]) ).

fof(f478,plain,
    ! [X0,X1,X2] : add(add(X0,X1),X2) = add(add(X1,X2),X0),
    inference(forward_demodulation,[status(thm)],[f5,f451]) ).

fof(f487,plain,
    ! [X0,X1,X2] :
      ( add(add(add(X0,X1),inverse(X0)),X2) = add(add(X1,inverse(X0)),X0)
      | n0 != n0 ),
    inference(forward_demodulation,[status(thm)],[f244,f454]) ).

fof(f488,plain,
    ! [X0,X1,X2] :
      ( add(n0,X0) = add(add(X1,inverse(X2)),X2)
      | n0 != n0 ),
    inference(forward_demodulation,[status(thm)],[f174,f487]) ).

fof(f489,plain,
    ! [X0,X1,X2] :
      ( add(n0,X0) = add(add(X1,X2),inverse(X1))
      | n0 != n0 ),
    inference(forward_demodulation,[status(thm)],[f478,f488]) ).

fof(f490,plain,
    ! [X0] :
      ( add(n0,X0) = n0
      | n0 != n0 ),
    inference(forward_demodulation,[status(thm)],[f174,f489]) ).

fof(f495,plain,
    ! [X0] : add(n0,X0) = n0,
    inference(trivial_equality_resolution,[status(thm)],[f490]) ).

fof(f500,plain,
    ! [X0,X1,X2] :
      ( add(add(X0,X1),X2) = add(add(X1,add(X0,X1)),X0)
      | add(add(X0,X1),inverse(X2)) != n0 ),
    inference(forward_demodulation,[status(thm)],[f5,f456]) ).

fof(f501,plain,
    ! [X0,X1,X2] :
      ( add(add(X0,X1),X2) = add(add(X0,X1),add(X0,X1))
      | add(add(X0,X1),inverse(X2)) != n0 ),
    inference(forward_demodulation,[status(thm)],[f478,f500]) ).

fof(f502,plain,
    ! [X0,X1,X2] :
      ( add(add(X0,X1),X2) = add(X0,X1)
      | add(add(X0,X1),inverse(X2)) != n0 ),
    inference(forward_demodulation,[status(thm)],[f5,f501]) ).

fof(f516,plain,
    ! [X0,X1,X2] :
      ( add(add(add(X1,inverse(X1)),X2),X0) = add(add(inverse(X1),X2),X1)
      | add(n0,inverse(X0)) != n0 ),
    inference(forward_demodulation,[status(thm)],[f495,f459]) ).

fof(f517,plain,
    ! [X0,X1,X2] :
      ( add(add(add(X0,inverse(X0)),X1),X2) = add(add(inverse(X0),X1),X0)
      | n0 != n0 ),
    inference(forward_demodulation,[status(thm)],[f244,f516]) ).

fof(f518,plain,
    ! [X0,X1,X2] :
      ( add(add(n0,X0),X1) = add(add(inverse(X2),X0),X2)
      | n0 != n0 ),
    inference(forward_demodulation,[status(thm)],[f26,f517]) ).

fof(f519,plain,
    ! [X0,X1,X2] :
      ( add(n0,X0) = add(add(inverse(X1),X2),X1)
      | n0 != n0 ),
    inference(forward_demodulation,[status(thm)],[f495,f518]) ).

fof(f520,plain,
    ! [X0,X1] :
      ( n0 = add(add(inverse(X0),X1),X0)
      | n0 != n0 ),
    inference(forward_demodulation,[status(thm)],[f495,f519]) ).

fof(f521,plain,
    ! [X0,X1] :
      ( n0 = add(add(X0,X1),inverse(X1))
      | n0 != n0 ),
    inference(forward_demodulation,[status(thm)],[f478,f520]) ).

fof(f522,plain,
    ! [X0,X1] : n0 = add(add(X0,X1),inverse(X1)),
    inference(trivial_equality_resolution,[status(thm)],[f521]) ).

fof(f590,plain,
    ! [X0,X1] : add(add(X0,X1),X0) = add(X0,X1),
    inference(resolution,[status(thm)],[f502,f174]) ).

fof(f596,plain,
    ! [X0,X1] :
      ( add(add(X0,X0),X1) = add(X0,X0)
      | add(X0,inverse(X1)) != n0 ),
    inference(paramodulation,[status(thm)],[f5,f502]) ).

fof(f616,plain,
    ! [X0,X1] :
      ( add(X0,X1) = add(X0,X0)
      | add(X0,inverse(X1)) != n0 ),
    inference(forward_demodulation,[status(thm)],[f5,f596]) ).

fof(f617,plain,
    ! [X0,X1] :
      ( add(X0,X1) = X0
      | add(X0,inverse(X1)) != n0 ),
    inference(forward_demodulation,[status(thm)],[f5,f616]) ).

fof(f622,plain,
    ! [X0,X1,X2,X3] : add(add(add(X0,X1),X2),X3) = add(add(X1,X3),add(X2,X0)),
    inference(paramodulation,[status(thm)],[f478,f478]) ).

fof(f632,plain,
    ! [X0,X1] : add(add(X0,X1),X1) = add(X1,X0),
    inference(paramodulation,[status(thm)],[f5,f478]) ).

fof(f676,plain,
    ! [X0,X1,X2] : add(add(add(X0,X1),X2),X2) = add(add(X1,X2),X0),
    inference(resolution,[status(thm)],[f522,f7]) ).

fof(f703,plain,
    ! [X0,X1,X2] : add(add(X0,X1),add(X1,X2)) = add(add(X0,X1),X2),
    inference(forward_demodulation,[status(thm)],[f622,f676]) ).

fof(f844,plain,
    ! [X0,X1] : add(n0,inverse(X0)) = add(inverse(X0),add(X0,X1)),
    inference(paramodulation,[status(thm)],[f174,f632]) ).

fof(f846,plain,
    ! [X0,X1] : add(add(X0,X1),X0) = add(X0,add(X0,X1)),
    inference(paramodulation,[status(thm)],[f590,f632]) ).

fof(f847,plain,
    ! [X0,X1,X2] : add(add(add(X0,X1),X2),X0) = add(X0,add(X1,X2)),
    inference(paramodulation,[status(thm)],[f478,f632]) ).

fof(f862,plain,
    ! [X0,X1,X2] : add(add(X0,add(X1,X2)),X2) = add(add(X2,X1),X0),
    inference(paramodulation,[status(thm)],[f632,f478]) ).

fof(f866,plain,
    ! [X0,X1] : add(add(X0,X1),inverse(add(X1,X0))) = n0,
    inference(paramodulation,[status(thm)],[f632,f174]) ).

fof(f872,plain,
    ! [X0,X1] : n0 = add(inverse(X0),add(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f495,f844]) ).

fof(f874,plain,
    ! [X0,X1] : add(X0,X1) = add(X0,add(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f590,f846]) ).

fof(f875,plain,
    ! [X0,X1,X2] : add(add(X0,X1),add(X1,X2)) = add(X1,add(X2,X0)),
    inference(forward_demodulation,[status(thm)],[f478,f847]) ).

fof(f880,plain,
    ! [X0,X1] : n0 = add(X0,add(inverse(X0),X1)),
    inference(backward_demodulation,[status(thm)],[f920,f522]) ).

fof(f883,plain,
    ! [X0,X1] : add(X0,add(X1,X1)) = add(X1,X0),
    inference(backward_demodulation,[status(thm)],[f920,f590]) ).

fof(f920,plain,
    ! [X0,X1,X2] : add(add(X0,X1),X2) = add(X1,add(X2,X0)),
    inference(forward_demodulation,[status(thm)],[f703,f875]) ).

fof(f941,plain,
    ! [X0,X1,X2] : add(add(X0,X1),add(X2,X0)) = add(add(X0,X2),X1),
    inference(forward_demodulation,[status(thm)],[f478,f862]) ).

fof(f942,plain,
    ! [X0,X1,X2] : add(X0,add(add(X1,X2),X2)) = add(add(X2,X1),X0),
    inference(forward_demodulation,[status(thm)],[f920,f941]) ).

fof(f943,plain,
    ! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X1,X2),X0),
    inference(forward_demodulation,[status(thm)],[f632,f942]) ).

fof(f946,plain,
    ! [X0,X1] : n0 = add(X0,add(X1,inverse(X0))),
    inference(backward_demodulation,[status(thm)],[f947,f872]) ).

fof(f947,plain,
    ! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f920,f943]) ).

fof(f958,plain,
    ! [X0,X1] : add(X0,add(inverse(add(X0,X1)),X1)) = n0,
    inference(forward_demodulation,[status(thm)],[f920,f866]) ).

fof(f980,plain,
    ( sQ2_spl
    | add(b,a) != add(b,a) ),
    inference(backward_demodulation,[status(thm)],[f984,f17]) ).

fof(f981,plain,
    ! [X0,X1] : add(X0,add(X1,inverse(add(X0,X1)))) = n0,
    inference(backward_demodulation,[status(thm)],[f984,f958]) ).

fof(f984,plain,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    inference(forward_demodulation,[status(thm)],[f5,f883]) ).

fof(f1082,plain,
    ( sQ2_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f980]) ).

fof(f1083,plain,
    sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f1082]) ).

fof(f1084,plain,
    ( sQ0_spl
    | add(inverse(add(a,inverse(b))),inverse(add(inverse(b),inverse(a)))) != b ),
    inference(forward_demodulation,[status(thm)],[f984,f11]) ).

fof(f1126,plain,
    ! [X0,X1,X2] : add(add(X0,X1),X2) = add(add(X0,X1),add(X2,X0)),
    inference(paramodulation,[status(thm)],[f874,f920]) ).

fof(f1129,plain,
    ! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(X2,X1)),
    inference(paramodulation,[status(thm)],[f984,f920]) ).

fof(f1156,plain,
    ! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X2,X0),add(X1,X2)),
    inference(forward_demodulation,[status(thm)],[f920,f1126]) ).

fof(f1157,plain,
    ! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(add(X1,X2),X2)),
    inference(forward_demodulation,[status(thm)],[f920,f1156]) ).

fof(f1158,plain,
    ! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(X2,add(X2,X1))),
    inference(forward_demodulation,[status(thm)],[f920,f1157]) ).

fof(f1159,plain,
    ! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(X2,X1)),
    inference(forward_demodulation,[status(thm)],[f874,f1158]) ).

fof(f1166,plain,
    ! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X2,add(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f920,f1129]) ).

fof(f1204,plain,
    ! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
    inference(paramodulation,[status(thm)],[f984,f947]) ).

fof(f1806,plain,
    ! [X0,X1] :
      ( add(X1,X0) = X1
      | add(inverse(X0),X1) != n0 ),
    inference(paramodulation,[status(thm)],[f984,f617]) ).

fof(f2269,plain,
    ! [X0] : add(inverse(inverse(X0)),X0) = inverse(inverse(X0)),
    inference(resolution,[status(thm)],[f1806,f26]) ).

fof(f2290,plain,
    ! [X0] : add(X0,inverse(inverse(X0))) = inverse(inverse(X0)),
    inference(forward_demodulation,[status(thm)],[f984,f2269]) ).

fof(f2336,plain,
    ! [X0] : n0 = add(X0,inverse(inverse(inverse(X0)))),
    inference(paramodulation,[status(thm)],[f2290,f880]) ).

fof(f3407,plain,
    ! [X0] : add(X0,inverse(inverse(X0))) = X0,
    inference(resolution,[status(thm)],[f2336,f617]) ).

fof(f3475,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[status(thm)],[f2290,f3407]) ).

fof(f3623,plain,
    ! [X0,X1] :
      ( add(X1,inverse(X0)) = X1
      | add(X0,X1) != n0 ),
    inference(paramodulation,[status(thm)],[f3475,f1806]) ).

fof(f3626,plain,
    ! [X0,X1] :
      ( add(X0,inverse(X1)) = X0
      | add(X0,X1) != n0 ),
    inference(paramodulation,[status(thm)],[f3475,f617]) ).

fof(f4113,plain,
    ! [X0,X1] : add(X0,inverse(add(inverse(X0),X1))) = X0,
    inference(resolution,[status(thm)],[f3626,f880]) ).

fof(f4114,plain,
    ! [X0,X1] : add(X0,inverse(add(X1,inverse(X0)))) = X0,
    inference(resolution,[status(thm)],[f3626,f946]) ).

fof(f4178,plain,
    ! [X0,X1] : add(inverse(X0),inverse(add(X0,X1))) = inverse(X0),
    inference(paramodulation,[status(thm)],[f3475,f4113]) ).

fof(f4257,plain,
    ! [X0,X1] : add(inverse(X0),inverse(add(X1,X0))) = inverse(X0),
    inference(paramodulation,[status(thm)],[f3475,f4114]) ).

fof(f4325,plain,
    ! [X0,X1] : add(add(X0,inverse(add(X1,X0))),inverse(X1)) = add(X0,inverse(add(X1,X0))),
    inference(resolution,[status(thm)],[f981,f3623]) ).

fof(f4401,plain,
    ! [X0,X1] : add(inverse(add(X0,X1)),add(inverse(X0),X1)) = add(X1,inverse(add(X0,X1))),
    inference(forward_demodulation,[status(thm)],[f920,f4325]) ).

fof(f4402,plain,
    ! [X0,X1] : add(inverse(X0),add(inverse(add(X0,X1)),X1)) = add(X1,inverse(add(X0,X1))),
    inference(forward_demodulation,[status(thm)],[f1204,f4401]) ).

fof(f4403,plain,
    ! [X0,X1] : add(inverse(X0),add(X1,inverse(add(X0,X1)))) = add(X1,inverse(add(X0,X1))),
    inference(forward_demodulation,[status(thm)],[f1159,f4402]) ).

fof(f5623,plain,
    ! [X0,X1,X2] : add(inverse(X0),add(X1,inverse(add(X0,X2)))) = add(X1,inverse(X0)),
    inference(paramodulation,[status(thm)],[f4178,f1204]) ).

fof(f5663,plain,
    ! [X0,X1] : add(X0,inverse(X1)) = add(X0,inverse(add(X1,X0))),
    inference(backward_demodulation,[status(thm)],[f5623,f4403]) ).

fof(f7101,plain,
    ! [X0,X1] : add(inverse(add(X0,X1)),inverse(X1)) = add(inverse(add(X0,X1)),inverse(add(X1,inverse(X0)))),
    inference(paramodulation,[status(thm)],[f5663,f5663]) ).

fof(f7241,plain,
    ! [X0,X1] : add(inverse(X0),inverse(add(X1,X0))) = add(inverse(add(X1,X0)),inverse(add(X0,inverse(X1)))),
    inference(forward_demodulation,[status(thm)],[f984,f7101]) ).

fof(f7242,plain,
    ( sQ0_spl
    | inverse(inverse(b)) != b ),
    inference(backward_demodulation,[status(thm)],[f7243,f1084]) ).

fof(f7243,plain,
    ! [X0,X1] : inverse(X0) = add(inverse(add(X1,X0)),inverse(add(X0,inverse(X1)))),
    inference(forward_demodulation,[status(thm)],[f4257,f7241]) ).

fof(f7317,plain,
    ( sQ0_spl
    | b != b ),
    inference(forward_demodulation,[status(thm)],[f3475,f7242]) ).

fof(f7318,plain,
    ( sQ0_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f7317]) ).

fof(f7319,plain,
    sQ0_spl,
    inference(contradiction_clause,[status(thm)],[f7318]) ).

fof(f7331,plain,
    ( sQ1_spl
    | add(b,add(c,a)) != add(a,add(b,c)) ),
    inference(forward_demodulation,[status(thm)],[f920,f14]) ).

fof(f7332,plain,
    ( sQ1_spl
    | add(c,add(b,a)) != add(a,add(b,c)) ),
    inference(forward_demodulation,[status(thm)],[f1204,f7331]) ).

fof(f7333,plain,
    ( sQ1_spl
    | add(c,add(b,a)) != add(b,add(a,c)) ),
    inference(forward_demodulation,[status(thm)],[f1204,f7332]) ).

fof(f7334,plain,
    ( sQ1_spl
    | add(c,add(b,a)) != add(c,add(a,b)) ),
    inference(forward_demodulation,[status(thm)],[f1166,f7333]) ).

fof(f7335,plain,
    ( sQ1_spl
    | add(c,add(b,a)) != add(c,add(b,a)) ),
    inference(forward_demodulation,[status(thm)],[f1159,f7334]) ).

fof(f7336,plain,
    ( sQ1_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f7335]) ).

fof(f7337,plain,
    sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f7336]) ).

fof(f7338,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f18,f1083,f7319,f7337]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : BOO020-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n011.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 13:48:40 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.37  % Drodi V4.1.1
% 113.07/14.79  % Refutation found
% 113.07/14.79  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 113.07/14.79  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 31.97/14.84  % Elapsed time: 14.460606 seconds
% 31.97/14.84  % CPU time: 113.968977 seconds
% 31.97/14.84  % Total memory used: 227.150 MB
% 31.97/14.84  % Net memory used: 217.725 MB
%------------------------------------------------------------------------------