↑ Up

iProver---3.9.4.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : BOO020-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n020.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 01:00:15 PM UTC 2026

% Result   : Unsatisfiable 48.83s 8.88s
% Output   : CNFRefutation 48.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   54
%            Number of leaves      :    4
% Syntax   : Number of formulae    :  160 ( 107 unt;   0 def)
%            Number of atoms       :  217 ( 216 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  122 (  65   ~;  57   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 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  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :  329 (   0 sgn 329   !;   0   ?; 320   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : add(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',frink1) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( add(add(add(X0,X1),X2),inverse(X3)) = n0
      | add(add(add(X0,X1),X2),X3) != add(add(X1,X2),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',frink2) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( add(add(add(X0,X1),X2),X3) = add(add(X1,X2),X0)
      | add(add(add(X0,X1),X2),inverse(X3)) != n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',frink3) ).

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',prove_huntington) ).

fof(f5,plain,
    ( add(a,b) != add(b,a)
    | add(add(a,b),c) != add(a,add(b,c))
    | b != add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) ),
    inference(reorient_equations,[],[f4]) ).

tcf(c_53,negated_conjecture,
    ( ( add(a,b) != add(b,a) )
    | ( 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,[],[f5]) ).

tcf(c_54,plain,
    ! [X0: $i] : add(X0,X0) = X0,
    inference(cnf_transformation,[],[f1]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( add(add(add(X0,X1),X2),X3) = add(add(X1,X2),X0) )
      | ( add(add(add(X0,X1),X2),inverse(X3)) != n0 ) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( add(add(add(X0,X1),X2),inverse(X3)) = n0 )
      | ( add(add(add(X0,X1),X2),X3) != add(add(X1,X2),X0) ) ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_180,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(add(add(X0,X0),X1),X2) = add(add(X0,X1),X0) )
      | ( add(add(X0,X1),inverse(X2)) != n0 ) ),
    inference(superposition,[status(thm)],[c_54,c_55]) ).

tcf(c_181,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(add(X0,X1),X0) = add(add(X0,X1),X2) )
      | ( add(add(X0,X1),inverse(X2)) != n0 ) ),
    inference(light_normalisation,[status(thm)],[c_180,c_54]) ).

tcf(c_192,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(add(X0,X0),X0) = add(add(X0,X0),X1) )
      | ( add(X0,inverse(X1)) != n0 ) ),
    inference(superposition,[status(thm)],[c_54,c_181]) ).

tcf(c_193,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(X0,X1) = X0 )
      | ( add(X0,inverse(X1)) != n0 ) ),
    inference(light_normalisation,[status(thm)],[c_192,c_54]) ).

tcf(c_214,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(add(add(X0,X0),X1),inverse(X2)) = n0 )
      | ( add(add(X0,X1),X0) != add(add(X0,X1),X2) ) ),
    inference(superposition,[status(thm)],[c_54,c_56]) ).

tcf(c_215,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(add(X0,X1),inverse(X2)) = n0 )
      | ( add(add(X0,X1),X0) != add(add(X0,X1),X2) ) ),
    inference(light_normalisation,[status(thm)],[c_214,c_54]) ).

tcf(c_231,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(add(X0,X0),inverse(X1)) = n0 )
      | ( add(X0,X1) != X0 ) ),
    inference(superposition,[status(thm)],[c_54,c_215]) ).

tcf(c_232,plain,
    ! [X0: $i,X1: $i] : add(add(X0,X1),inverse(X0)) = n0,
    inference(equality_resolution,[status(thm)],[c_215]) ).

tcf(c_233,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(X0,inverse(X1)) = n0 )
      | ( add(X0,X1) != X0 ) ),
    inference(light_normalisation,[status(thm)],[c_231,c_54]) ).

tcf(c_257,plain,
    ! [X0: $i] : add(X0,inverse(X0)) = n0,
    inference(superposition,[status(thm)],[c_54,c_233]) ).

tcf(c_270,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(add(X0,X1),X2),add(add(X0,X1),X2)) = add(add(X1,X2),X0),
    inference(superposition,[status(thm)],[c_257,c_55]) ).

tcf(c_272,plain,
    ! [X0: $i,X1: $i] : add(add(X0,X1),add(X0,X1)) = add(add(X0,X1),X0),
    inference(superposition,[status(thm)],[c_257,c_181]) ).

tcf(c_328,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(add(add(X0,X1),add(X0,X1)),X2) = add(add(X1,add(X0,X1)),X0) )
      | ( add(add(X0,X1),inverse(X2)) != n0 ) ),
    inference(superposition,[status(thm)],[c_54,c_55]) ).

tcf(c_329,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(add(add(X0,X0),X1),X2) = add(add(X0,X1),X0) )
      | ( add(add(X0,X1),inverse(X2)) != n0 ) ),
    inference(superposition,[status(thm)],[c_54,c_55]) ).

tcf(c_330,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(add(X0,X1),X0) = add(add(X0,X1),X2) )
      | ( add(add(X0,X1),inverse(X2)) != n0 ) ),
    inference(light_normalisation,[status(thm)],[c_329,c_54]) ).

tcf(c_351,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(add(X0,X1),X2),add(X0,X1)) = add(add(X1,X2),X0),
    inference(demodulation,[status(thm)],[c_270,c_272]) ).

tcf(c_352,plain,
    ! [X0: $i,X1: $i] : add(add(X0,add(X1,X0)),X1) = add(X1,X0),
    inference(superposition,[status(thm)],[c_54,c_351]) ).

tcf(c_419,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(add(add(X0,X0),X1),inverse(X2)) = n0 )
      | ( add(add(X0,X1),X0) != add(add(X0,X1),X2) ) ),
    inference(superposition,[status(thm)],[c_54,c_56]) ).

tcf(c_420,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(add(X0,X1),inverse(X2)) = n0 )
      | ( add(add(X0,X1),X0) != add(add(X0,X1),X2) ) ),
    inference(light_normalisation,[status(thm)],[c_419,c_54]) ).

tcf(c_515,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(add(X0,X0),inverse(X1)) = n0 )
      | ( add(X0,X1) != X0 ) ),
    inference(superposition,[status(thm)],[c_54,c_420]) ).

tcf(c_517,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(X0,inverse(X1)) = n0 )
      | ( add(X0,X1) != X0 ) ),
    inference(light_normalisation,[status(thm)],[c_515,c_54]) ).

tcf(c_526,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(add(X1,add(X0,X1)),X0) = add(add(X0,X1),X2) )
      | ( add(add(X0,X1),inverse(X2)) != n0 ) ),
    inference(demodulation,[status(thm)],[c_328,c_54]) ).

tcf(c_546,plain,
    ! [X0: $i] : add(X0,inverse(X0)) = n0,
    inference(superposition,[status(thm)],[c_54,c_517]) ).

tcf(c_555,plain,
    ! [X0: $i] : add(n0,inverse(X0)) = n0,
    inference(superposition,[status(thm)],[c_257,c_232]) ).

tcf(c_572,plain,
    ! [X0: $i,X1: $i] : add(add(X0,X1),X0) = add(X0,X1),
    inference(superposition,[status(thm)],[c_232,c_193]) ).

tcf(c_574,plain,
    ! [X0: $i] : add(inverse(X0),X0) = n0,
    inference(superposition,[status(thm)],[c_232,c_352]) ).

tcf(c_598,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(X0,X1),X2) = add(add(X1,X2),X0),
    inference(demodulation,[status(thm)],[c_351,c_572]) ).

tcf(c_599,plain,
    ( ( add(a,b) != add(b,a) )
    | ( add(add(b,c),a) != add(a,add(b,c)) )
    | ( add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) != b ) ),
    inference(demodulation,[status(thm)],[c_53,c_598]) ).

tcf(c_660,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(add(X0,X1),X2),add(add(X0,X1),X2)) = add(add(X1,X2),X0),
    inference(superposition,[status(thm)],[c_546,c_55]) ).

tcf(c_661,plain,
    ! [X0: $i,X1: $i] : add(add(X0,add(X1,X0)),X1) = add(add(X1,X0),add(X1,X0)),
    inference(superposition,[status(thm)],[c_546,c_526]) ).

tcf(c_662,plain,
    ! [X0: $i,X1: $i] : add(add(X0,X1),add(X0,X1)) = add(add(X0,X1),X0),
    inference(superposition,[status(thm)],[c_546,c_330]) ).

tcf(c_693,plain,
    ! [X0: $i] : add(n0,X0) = n0,
    inference(superposition,[status(thm)],[c_555,c_193]) ).

tcf(c_710,plain,
    ! [X0: $i] : add(inverse(inverse(X0)),X0) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_574,c_193]) ).

tcf(c_806,plain,
    ! [X0: $i,X1: $i] : add(add(X0,n0),X1) = add(n0,X0),
    inference(superposition,[status(thm)],[c_693,c_598]) ).

tcf(c_839,plain,
    ! [X0: $i,X1: $i] : add(add(X0,n0),X1) = n0,
    inference(light_normalisation,[status(thm)],[c_806,c_693]) ).

tcf(c_1000,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(add(X0,X1),X2),add(X0,X1)) = add(add(X1,X2),X0),
    inference(demodulation,[status(thm)],[c_660,c_662]) ).

tcf(c_1018,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(add(X0,X1),X2),inverse(add(X0,X1))) = n0,
    inference(superposition,[status(thm)],[c_1000,c_56]) ).

tcf(c_1165,plain,
    ! [X0: $i] : add(X0,n0) = n0,
    inference(superposition,[status(thm)],[c_839,c_572]) ).

tcf(c_1213,plain,
    inverse(inverse(n0)) = n0,
    inference(superposition,[status(thm)],[c_1165,c_710]) ).

tcf(c_1260,plain,
    ! [X0: $i] :
      ( ( add(X0,inverse(n0)) = X0 )
      | ( add(X0,n0) != n0 ) ),
    inference(superposition,[status(thm)],[c_1213,c_193]) ).

tcf(c_1262,plain,
    ! [X0: $i] : add(X0,inverse(n0)) = X0,
    inference(ground_joinability,[status(thm)],[c_1260,c_1165]) ).

tcf(c_1278,plain,
    ! [X0: $i,X1: $i] : add(add(X0,inverse(n0)),X1) = add(X1,X0),
    inference(superposition,[status(thm)],[c_1262,c_598]) ).

tcf(c_1290,plain,
    ! [X0: $i,X1: $i] : add(X0,X1) = add(X1,X0),
    inference(light_normalisation,[status(thm)],[c_1278,c_1262]) ).

tcf(c_1308,plain,
    add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) != b,
    inference(backward_subsumption_resolution,[status(thm)],[c_599,c_1290]) ).

tcf(c_2175,plain,
    ! [X0: $i,X1: $i] : add(add(X0,X1),inverse(X0)) = n0,
    inference(superposition,[status(thm)],[c_54,c_1018]) ).

tcf(c_2179,plain,
    ! [X0: $i] : add(X0,inverse(X0)) = n0,
    inference(superposition,[status(thm)],[c_54,c_2175]) ).

tcf(c_2185,plain,
    ! [X0: $i,X1: $i] : add(add(X0,X1),X0) = add(X0,X1),
    inference(demodulation,[status(thm)],[c_662,c_54]) ).

tcf(c_2188,plain,
    ! [X0: $i] : add(n0,X0) = n0,
    inference(superposition,[status(thm)],[c_2179,c_2185]) ).

tcf(c_2192,plain,
    ! [X0: $i,X1: $i] : add(add(X0,add(X1,X0)),X1) = add(X1,X0),
    inference(demodulation,[status(thm)],[c_661,c_54]) ).

tcf(c_2210,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(add(X0,X1),X2),add(X0,X1)) = add(add(X1,X2),X0),
    inference(superposition,[status(thm)],[c_2175,c_55]) ).

tcf(c_2211,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(add(X0,X1),X2),add(add(X0,X1),X2)) = add(add(X1,X2),X0),
    inference(superposition,[status(thm)],[c_2179,c_55]) ).

tcf(c_2212,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(add(add(X0,X1),add(X0,X1)),X2) = add(add(X1,add(X0,X1)),X0) )
      | ( add(add(X0,X1),inverse(X2)) != n0 ) ),
    inference(superposition,[status(thm)],[c_54,c_55]) ).

tcf(c_2219,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( add(add(add(add(X1,add(X0,X1)),X0),X2),X3) = add(add(X0,X2),add(X1,add(X0,X1))) )
      | ( add(add(add(X0,X1),X2),inverse(X3)) != n0 ) ),
    inference(superposition,[status(thm)],[c_2192,c_55]) ).

tcf(c_2258,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(add(add(X2,X0),X1),inverse(inverse(add(X2,X0)))) = n0 )
      | ( add(add(X0,X1),X2) != n0 ) ),
    inference(superposition,[status(thm)],[c_2175,c_56]) ).

tcf(c_2304,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(X0,X1),X2) = add(add(X1,X2),X0),
    inference(demodulation,[status(thm)],[c_2210,c_2185]) ).

tcf(c_2311,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(X0,X1),add(X0,X2)) = add(add(X0,X2),X1),
    inference(superposition,[status(thm)],[c_2185,c_2304]) ).

tcf(c_2320,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(X0,add(X1,X2)),X1) = add(add(X1,X2),X0),
    inference(superposition,[status(thm)],[c_2185,c_2304]) ).

tcf(c_2322,plain,
    ! [X0: $i,X1: $i] : add(add(X0,X1),inverse(X1)) = add(n0,X0),
    inference(superposition,[status(thm)],[c_2179,c_2304]) ).

tcf(c_2323,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : add(add(add(X0,X1),X2),X3) = add(add(X1,X3),add(X2,X0)),
    inference(superposition,[status(thm)],[c_2304,c_2304]) ).

tcf(c_2334,plain,
    ! [X0: $i,X1: $i] : add(add(X0,X1),X1) = add(X1,X0),
    inference(superposition,[status(thm)],[c_2304,c_2185]) ).

tcf(c_2350,plain,
    ! [X0: $i,X1: $i] : add(add(X0,X1),inverse(X1)) = n0,
    inference(light_normalisation,[status(thm)],[c_2322,c_2188]) ).

tcf(c_2837,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(X0,X1),add(X1,X2)) = add(add(X0,X1),X2),
    inference(demodulation,[status(thm)],[c_2211,c_2323,c_2311]) ).

tcf(c_2841,plain,
    ! [X0: $i,X1: $i] : add(X0,add(X0,X1)) = add(X0,X1),
    inference(superposition,[status(thm)],[c_54,c_2837]) ).

tcf(c_2867,plain,
    ! [X0: $i,X1: $i] : add(add(add(X0,X1),X0),X1) = add(add(X0,X1),X0),
    inference(superposition,[status(thm)],[c_2837,c_2185]) ).

tcf(c_2870,plain,
    ! [X0: $i,X1: $i] : add(X0,X1) = add(X1,X0),
    inference(light_normalisation,[status(thm)],[c_2867,c_2185,c_2334]) ).

tcf(c_4082,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(X0,X1),X2) = add(X1,add(X2,X0)),
    inference(superposition,[status(thm)],[c_2870,c_2304]) ).

tcf(c_4088,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
    inference(superposition,[status(thm)],[c_2870,c_2304]) ).

tcf(c_4090,plain,
    ! [X0: $i] : add(X0,n0) = n0,
    inference(superposition,[status(thm)],[c_2870,c_2188]) ).

tcf(c_4806,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(add(add(X1,X2),X0),inverse(inverse(add(X1,X2)))) = n0 )
      | ( add(X0,add(X1,X2)) != n0 ) ),
    inference(light_normalisation,[status(thm)],[c_2258,c_4082]) ).

tcf(c_4807,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(X0,add(X2,add(X1,inverse(inverse(add(X1,X2)))))) = n0 )
      | ( add(X0,add(X1,X2)) != n0 ) ),
    inference(demodulation,[status(thm)],[c_4806,c_2870,c_4082]) ).

tcf(c_4819,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(X0,add(X1,add(X1,inverse(inverse(add(X1,X1)))))) = n0 )
      | ( add(X0,X1) != n0 ) ),
    inference(superposition,[status(thm)],[c_54,c_4807]) ).

tcf(c_5223,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(X0,add(X1,inverse(inverse(X1)))) = n0 )
      | ( add(X0,X1) != n0 ) ),
    inference(demodulation,[status(thm)],[c_4819,c_54,c_2841]) ).

tcf(c_5236,plain,
    ! [X0: $i] : add(X0,add(n0,inverse(inverse(n0)))) = n0,
    inference(superposition,[status(thm)],[c_4090,c_5223]) ).

tcf(c_5289,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(X0,add(X1,X2)) = add(X0,X2) )
      | ( add(X0,add(inverse(X1),X2)) != n0 ) ),
    inference(demodulation,[status(thm)],[c_2212,c_2334,c_2320,c_2841,c_4082]) ).

tcf(c_5304,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(X0,add(X1,inverse(inverse(X1)))) = add(X0,inverse(inverse(X1))) )
      | ( add(X0,n0) != n0 ) ),
    inference(superposition,[status(thm)],[c_2179,c_5289]) ).

tcf(c_5316,plain,
    ! [X0: $i,X1: $i] : add(X0,add(X1,inverse(inverse(X1)))) = add(X0,inverse(inverse(X1))),
    inference(ground_joinability,[status(thm)],[c_5304,c_4090]) ).

tcf(c_7075,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( add(add(add(add(X0,add(X2,X0)),X2),X1),X3) = add(add(X2,X1),add(X0,add(X2,X0))) )
      | ( add(add(X0,add(X1,X2)),inverse(X3)) != n0 ) ),
    inference(light_normalisation,[status(thm)],[c_2219,c_4082]) ).

tcf(c_7076,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( add(X2,add(X3,add(X1,X0))) = add(X2,add(X1,X0)) )
      | ( add(X0,add(X1,add(X2,inverse(X3)))) != n0 ) ),
    inference(demodulation,[status(thm)],[c_7075,c_2334,c_2320,c_4082]) ).

tcf(c_7706,plain,
    ! [X0: $i,X1: $i] : add(X0,add(inverse(X0),X1)) = n0,
    inference(demodulation,[status(thm)],[c_2350,c_4082]) ).

tcf(c_7727,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(inverse(X1),add(X2,add(X1,X0))) = add(inverse(X1),add(X1,X0)) )
      | ( add(X0,n0) != n0 ) ),
    inference(superposition,[status(thm)],[c_7706,c_7076]) ).

tcf(c_7732,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(inverse(X0),add(X1,add(X0,X2))) = add(inverse(X0),add(X0,X2)),
    inference(ground_joinability,[status(thm)],[c_7727,c_4090]) ).

tcf(c_11240,plain,
    ! [X0: $i] : add(X0,inverse(inverse(n0))) = n0,
    inference(demodulation,[status(thm)],[c_5236,c_5316]) ).

tcf(c_11244,plain,
    inverse(inverse(n0)) = n0,
    inference(superposition,[status(thm)],[c_11240,c_54]) ).

tcf(c_11343,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(X0,add(inverse(n0),X1)) = add(X0,X1) )
      | ( add(X0,add(n0,X1)) != n0 ) ),
    inference(superposition,[status(thm)],[c_11244,c_5289]) ).

tcf(c_11346,plain,
    ! [X0: $i,X1: $i] : add(X0,add(inverse(n0),X1)) = add(X0,X1),
    inference(ground_joinability,[status(thm)],[c_11343,c_2188,c_4090]) ).

tcf(c_14987,plain,
    ! [X0: $i,X1: $i] : add(X0,add(X1,inverse(n0))) = add(X0,X1),
    inference(superposition,[status(thm)],[c_2870,c_11346]) ).

tcf(c_27927,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
    inference(superposition,[status(thm)],[c_4088,c_2870]) ).

tcf(c_27928,negated_conjecture,
    add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) != b,
    inference(global_subsumption_just,[status(thm)],[c_53,c_1308]) ).

tcf(c_27930,plain,
    add(inverse(add(a,inverse(b))),inverse(add(inverse(b),inverse(a)))) != b,
    inference(theory_normalisation,[status(thm)],[c_27928,c_4088,c_2870]) ).

tcf(c_27931,plain,
    ! [X0: $i] : add(n0,X0) = n0,
    inference(superposition,[status(thm)],[c_4090,c_2870]) ).

tcf(c_27943,plain,
    ! [X0: $i,X1: $i] : add(X0,add(inverse(n0),X1)) = add(X0,X1),
    inference(superposition,[status(thm)],[c_2870,c_14987]) ).

tcf(c_27962,plain,
    ! [X0: $i,X1: $i] : add(add(inverse(n0),X0),X1) = add(X1,X0),
    inference(superposition,[status(thm)],[c_27943,c_2870]) ).

tcf(c_27965,plain,
    ! [X0: $i,X1: $i] : add(inverse(n0),add(X0,X1)) = add(X1,X0),
    inference(theory_normalisation,[status(thm)],[c_27962,c_4088,c_2870]) ).

tcf(c_27971,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(X0,add(X1,add(X2,X1))) = add(X1,add(X2,X0)),
    inference(theory_normalisation,[status(thm)],[c_2320,c_4088,c_2870]) ).

tcf(c_27981,plain,
    ! [X0: $i,X1: $i] : add(X0,add(X0,X1)) = add(X1,X0),
    inference(superposition,[status(thm)],[c_54,c_27971]) ).

tcf(c_27982,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(X0,add(X1,add(X1,X2))) = add(X1,add(X2,X0)),
    inference(superposition,[status(thm)],[c_2870,c_27971]) ).

tcf(c_28012,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( add(X0,add(X1,add(X2,X3))) = add(X1,add(X2,X0)) )
      | ( add(X0,add(X1,add(X2,inverse(X3)))) != n0 ) ),
    inference(theory_normalisation,[status(thm)],[c_55,c_4088,c_2870]) ).

tcf(c_28144,plain,
    ! [X0: $i,X1: $i] : add(add(inverse(n0),X0),X1) = add(X1,add(X1,X0)),
    inference(superposition,[status(thm)],[c_27943,c_27981]) ).

tcf(c_28154,plain,
    ! [X0: $i] : add(inverse(n0),X0) = add(X0,X0),
    inference(superposition,[status(thm)],[c_27981,c_14987]) ).

tcf(c_28156,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(X0,add(X2,add(X2,X1))) = add(X2,add(X2,X0)) )
      | ( add(X0,add(inverse(X1),X2)) != n0 ) ),
    inference(superposition,[status(thm)],[c_27981,c_28012]) ).

tcf(c_28161,plain,
    ! [X0: $i] : add(inverse(n0),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_28154,c_54]) ).

tcf(c_28164,plain,
    ! [X0: $i,X1: $i] : add(inverse(n0),add(X0,X1)) = add(X1,add(X1,X0)),
    inference(theory_normalisation,[status(thm)],[c_28144,c_4088,c_2870]) ).

tcf(c_28165,plain,
    ! [X0: $i,X1: $i] : add(X0,add(X0,X1)) = add(X0,X1),
    inference(light_normalisation,[status(thm)],[c_28164,c_27965]) ).

tcf(c_28184,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(X0,add(X1,add(X2,inverse(add(X0,X1))))) = n0,
    inference(theory_normalisation,[status(thm)],[c_1018,c_4088,c_2870]) ).

tcf(c_28188,plain,
    ! [X0: $i,X1: $i] : add(X0,add(X1,inverse(add(X0,X1)))) = n0,
    inference(superposition,[status(thm)],[c_54,c_28184]) ).

tcf(c_28278,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(X0,add(X1,add(X2,inverse(X0)))) = add(X0,add(X2,inverse(X0))),
    inference(theory_normalisation,[status(thm)],[c_7732,c_4088,c_2870]) ).

tcf(c_28285,plain,
    ! [X0: $i,X1: $i] : add(X0,add(X1,inverse(X0))) = add(X0,n0),
    inference(superposition,[status(thm)],[c_27931,c_28278]) ).

tcf(c_28288,plain,
    ! [X0: $i,X1: $i] : add(X0,add(X1,inverse(X0))) = add(X0,inverse(X0)),
    inference(superposition,[status(thm)],[c_54,c_28278]) ).

tcf(c_28304,plain,
    ! [X0: $i,X1: $i] : add(X0,add(X1,inverse(X0))) = n0,
    inference(light_normalisation,[status(thm)],[c_28285,c_4090]) ).

tcf(c_28339,plain,
    ! [X0: $i] : add(X0,inverse(n0)) = X0,
    inference(superposition,[status(thm)],[c_28161,c_27981]) ).

tcf(c_28352,plain,
    ! [X0: $i,X1: $i] : add(X0,add(X1,inverse(add(inverse(n0),X0)))) = n0,
    inference(superposition,[status(thm)],[c_28161,c_28184]) ).

tcf(c_28353,plain,
    ! [X0: $i] : add(X0,inverse(X0)) = n0,
    inference(light_normalisation,[status(thm)],[c_28352,c_28161,c_28288]) ).

tcf(c_28402,plain,
    ! [X0: $i,X1: $i] : add(X0,add(inverse(X0),X1)) = n0,
    inference(superposition,[status(thm)],[c_2870,c_28304]) ).

tcf(c_28969,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(X2,add(X1,X0)) = add(X2,X0) )
      | ( add(X0,add(inverse(X1),X2)) != n0 ) ),
    inference(demodulation,[status(thm)],[c_28156,c_28165,c_27982]) ).

tcf(c_28993,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(X1,add(X2,X0)) = add(X1,X0) )
      | ( add(X0,add(X1,inverse(X2))) != n0 ) ),
    inference(superposition,[status(thm)],[c_2870,c_28969]) ).

tcf(c_30129,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(X0,add(X1,X2)) = add(X0,X2) )
      | ( add(add(X0,inverse(X1)),X2) != n0 ) ),
    inference(superposition,[status(thm)],[c_2870,c_28993]) ).

tcf(c_30133,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(X1,add(X0,X1)) = add(X1,X1) )
      | ( add(inverse(X0),X1) != n0 ) ),
    inference(superposition,[status(thm)],[c_27981,c_28993]) ).

tcf(c_30168,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( add(X0,add(X1,X2)) = add(X0,X2) )
      | ( add(X0,add(inverse(X1),X2)) != n0 ) ),
    inference(theory_normalisation,[status(thm)],[c_30129,c_4088,c_2870]) ).

tcf(c_30191,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(X1,add(X0,X1)) = X1 )
      | ( add(inverse(X0),X1) != n0 ) ),
    inference(demodulation,[status(thm)],[c_30133,c_54]) ).

tcf(c_30201,plain,
    ! [X0: $i] : add(inverse(inverse(X0)),add(X0,inverse(inverse(X0)))) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_28353,c_30191]) ).

tcf(c_30222,plain,
    ! [X0: $i] : add(X0,add(inverse(inverse(X0)),inverse(inverse(X0)))) = inverse(inverse(X0)),
    inference(theory_normalisation,[status(thm)],[c_30201,c_4088,c_2870]) ).

tcf(c_31201,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(inverse(n0),add(X0,X1)) = add(inverse(n0),X1) )
      | ( add(inverse(X0),X1) != n0 ) ),
    inference(superposition,[status(thm)],[c_28161,c_30168]) ).

tcf(c_31218,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(X0,add(X1,inverse(inverse(X1)))) = add(X0,inverse(inverse(X1))) )
      | ( add(X0,n0) != n0 ) ),
    inference(superposition,[status(thm)],[c_28353,c_30168]) ).

tcf(c_31249,plain,
    ! [X0: $i,X1: $i] : add(X0,add(X1,inverse(inverse(X1)))) = add(X0,inverse(inverse(X1))),
    inference(ground_joinability,[status(thm)],[c_31218,c_4090]) ).

tcf(c_31311,plain,
    ! [X0: $i] : add(add(X0,inverse(inverse(X0))),inverse(inverse(X0))) = add(X0,inverse(inverse(X0))),
    inference(superposition,[status(thm)],[c_31249,c_54]) ).

tcf(c_31346,plain,
    ! [X0: $i] : add(X0,inverse(inverse(inverse(X0)))) = n0,
    inference(superposition,[status(thm)],[c_31249,c_28402]) ).

tcf(c_31370,plain,
    ! [X0: $i] : add(X0,add(inverse(inverse(X0)),inverse(inverse(X0)))) = add(X0,inverse(inverse(X0))),
    inference(theory_normalisation,[status(thm)],[c_31311,c_4088,c_2870]) ).

tcf(c_31371,plain,
    ! [X0: $i] : add(X0,inverse(inverse(X0))) = inverse(inverse(X0)),
    inference(light_normalisation,[status(thm)],[c_31370,c_30222]) ).

tcf(c_31489,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(X1,add(inverse(inverse(X1)),X0)) = add(X1,X0) )
      | ( add(X0,n0) != n0 ) ),
    inference(superposition,[status(thm)],[c_31346,c_28993]) ).

tcf(c_31519,plain,
    ! [X0: $i,X1: $i] : add(X0,add(inverse(inverse(X0)),X1)) = add(X0,X1),
    inference(ground_joinability,[status(thm)],[c_31489,c_4090]) ).

tcf(c_31785,plain,
    ! [X0: $i,X1: $i] : add(X0,add(inverse(inverse(X0)),X1)) = add(inverse(inverse(X0)),X1),
    inference(superposition,[status(thm)],[c_31371,c_4088]) ).

tcf(c_31817,plain,
    ! [X0: $i,X1: $i] : add(inverse(inverse(X0)),X1) = add(X0,X1),
    inference(light_normalisation,[status(thm)],[c_31785,c_31519]) ).

tcf(c_32495,plain,
    ! [X0: $i] : add(X0,inverse(n0)) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_31817,c_28339]) ).

tcf(c_32533,plain,
    ! [X0: $i] : inverse(inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_32495,c_28339]) ).

tcf(c_37085,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(X0,X1) = X1 )
      | ( add(inverse(X0),X1) != n0 ) ),
    inference(demodulation,[status(thm)],[c_31201,c_28161]) ).

tcf(c_37093,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(X1,X0) = X0 )
      | ( add(X0,inverse(X1)) != n0 ) ),
    inference(superposition,[status(thm)],[c_2870,c_37085]) ).

tcf(c_37115,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(inverse(X0),X1) = X1 )
      | ( add(X0,X1) != n0 ) ),
    inference(superposition,[status(thm)],[c_32533,c_37085]) ).

tcf(c_43280,plain,
    ! [X0: $i,X1: $i] :
      ( ( add(inverse(X1),X0) = X0 )
      | ( add(X0,X1) != n0 ) ),
    inference(superposition,[status(thm)],[c_32533,c_37093]) ).

tcf(c_43319,plain,
    ! [X0: $i,X1: $i] : add(inverse(X0),add(X1,inverse(add(X0,X1)))) = add(X1,inverse(add(X0,X1))),
    inference(superposition,[status(thm)],[c_28188,c_37115]) ).

tcf(c_44872,plain,
    ! [X0: $i,X1: $i] : add(inverse(add(inverse(X0),X1)),X0) = X0,
    inference(superposition,[status(thm)],[c_28402,c_43280]) ).

tcf(c_44873,plain,
    ! [X0: $i,X1: $i] : add(inverse(add(X0,inverse(X1))),X1) = X1,
    inference(superposition,[status(thm)],[c_28304,c_43280]) ).

tcf(c_44891,plain,
    ! [X0: $i,X1: $i] : add(X0,inverse(add(X1,inverse(X0)))) = X0,
    inference(theory_normalisation,[status(thm)],[c_44873,c_4088,c_2870]) ).

tcf(c_44892,plain,
    ! [X0: $i,X1: $i] : add(X0,inverse(add(inverse(X0),X1))) = X0,
    inference(theory_normalisation,[status(thm)],[c_44872,c_4088,c_2870]) ).

tcf(c_46387,plain,
    ! [X0: $i,X1: $i] : add(inverse(X0),inverse(add(X1,X0))) = inverse(X0),
    inference(superposition,[status(thm)],[c_32533,c_44891]) ).

tcf(c_47004,plain,
    ! [X0: $i,X1: $i] : add(inverse(X0),inverse(add(X0,X1))) = inverse(X0),
    inference(superposition,[status(thm)],[c_32533,c_44892]) ).

tcf(c_51301,plain,
    ! [X0: $i,X1: $i,X2: $i] : add(inverse(X0),add(X1,inverse(add(X0,X2)))) = add(X1,inverse(X0)),
    inference(superposition,[status(thm)],[c_47004,c_27927]) ).

tcf(c_51407,plain,
    ! [X0: $i,X1: $i] : add(X0,inverse(add(X1,X0))) = add(X0,inverse(X1)),
    inference(demodulation,[status(thm)],[c_43319,c_51301]) ).

tcf(c_56336,plain,
    ! [X0: $i,X1: $i] : add(inverse(add(X0,X1)),inverse(add(X1,inverse(X0)))) = add(inverse(add(X0,X1)),inverse(X1)),
    inference(superposition,[status(thm)],[c_51407,c_51407]) ).

tcf(c_56399,plain,
    ! [X0: $i,X1: $i] : add(inverse(add(X0,X1)),inverse(add(X1,inverse(X0)))) = add(inverse(X1),inverse(add(X0,X1))),
    inference(theory_normalisation,[status(thm)],[c_56336,c_4088,c_2870]) ).

tcf(c_56454,plain,
    add(inverse(inverse(b)),inverse(add(a,inverse(b)))) != b,
    inference(demodulation,[status(thm)],[c_27930,c_56399]) ).

tcf(c_56455,plain,
    $false,
    inference(ground_joinability,[status(thm)],[c_56454,c_32533,c_46387]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : BOO020-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n020.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Fri Sep 25 06:35:20 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.44  % Proving...
% 48.83/8.88  % SZS status Started for theBenchmark.p
% 48.83/8.88  ERROR - "ProverProcess:heur/330959:296.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( add(n0,inverse(X0)) = n0 )")
% 48.83/8.88  Fatal error: exception Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( add(n0,inverse(X0)) = n0 )")
% 48.83/8.88  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_af_restrict_to_split_sk false --abstr_ref_prep false --abstr_ref_sig_restrict funpre --abstr_ref_under "[]" --abstr_ref_until_sat false --add_important_lit false --bc_imp_inh "[conj_cone]" --brand_transform false --clause_weak_htbl true --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --gc_record_bc_elim false --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_sos_phase true --inst_sos_sth_lit_sel "[+prop;+non_prol_conj_symb;-eq;+ground;-num_var]" --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --large_theory_mode true --lt_threshold 2000 --min_unsat_core false --non_eq_to_eq false --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sem_filter_out false --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessed_out false --preprocessed_stats false --preprocessing_flag true --prolific_symb_bound 256 --prop_impl_unit "[]" --prop_impl_unit_size 0 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_orphan_elimination true --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300. --res_to_prop_solver active --reset_solvers false --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --soft_assumptions false --soft_lemma_size 3 --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[BwDemod;BwUnitSubsAndRes]" --sup_full_fw "[FwDemodLightNormLoopTriv;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[BwUnitSubsAndRes]" --sup_immed_bw_main "[BwUnitSubsAndRes]" --sup_immed_fw_immed "[ACNormalisation;FwDemodLightNormLoopTriv;FwUnitSubsAndRes]" --sup_immed_fw_main "[FwUnitSubsAndRes]" --sup_immed_triv "[]" --sup_indices_passive "[LightNormIndex;UnitSubsumptionIndex]" --sup_input_bw "[BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]" --sup_input_fw "[ACNormalisation;FwDemodLightNormLoopTriv;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --out_options none --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify   -t 98.67" --time_out_real 296.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_o3o2pyi_/669fpywq 2>> /export/starexec/sandbox/tmp/iprover_out_o3o2pyi_/669fpywq_error
% 48.83/8.88  ERROR - "ProverProcess:heur/445550:16.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( add(add(add(X0,X1),X2),X2) = add(add(X1,X2),X0) )")
% 48.83/8.88  Fatal error: exception Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( add(add(add(X0,X1),X2),X2) = add(add(X1,X2),X0) )")
% 48.83/8.88  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode time_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 1.6084091637003026 --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd false --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red true --prep_gs_sim false --prep_res_sim true --prep_sem_filter neg --prep_sup_sim_all true --prep_sup_sim_sup true --prep_unflatten true --prep_upred false --preprocessing_flag true --prolific_symb_bound 32768 --prop_solver_per_cl 4096 --pure_diseq_elim false --res_backward_subs subset_subsumption --res_backward_subs_resolution false --res_forward_subs subset_subsumption --res_forward_subs_resolution false --res_lit_sel adaptive --res_lit_sel_side num_var --res_ordering kbo --res_passive_queue_type stack --res_passive_queues "[[-num_lits;+conj_symb;-num_symb];[-num_lits;+min_def_symb]]" --res_passive_queues_freq "[1;3]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input false --res_time_limit 202.19 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl true --splitting_grd true --splitting_mode input --splitting_nvd 16 --stats_out none --sub_typing false --subs_bck_mult 1 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[DemodLightNormLoopTriv;ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 640 --sup_share_score_frac 0.1 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.9903106699302947 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify   -t 5.33" --time_out_real 16.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_o3o2pyi_/6iuocqje 2>> /export/starexec/sandbox/tmp/iprover_out_o3o2pyi_/6iuocqje_error
% 48.83/8.88  % SZS status Unsatisfiable for theBenchmark.p
% 48.83/8.88  
% 48.83/8.88  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 48.83/8.88  
% 48.83/8.88  % ------  iProver source info
% 48.83/8.88  
% 48.83/8.88  % git: date: 2026-07-19 20:42:38 +0200
% 48.83/8.88  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 48.83/8.88  % git: non_committed_changes: false
% 48.83/8.88  
% 48.83/8.88  % ------ Parsing...% successful
% 48.83/8.88  
% 48.83/8.88  
% 48.83/8.88  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 48.83/8.88  
% 48.83/8.88  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 48.83/8.88  
% 48.83/8.88  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 48.83/8.88  
% 48.83/8.88  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 48.83/8.88  % ------ Proving...
% 48.83/8.88  % ------ Problem Properties 
% 48.83/8.88  
% 48.83/8.88  % 
% 48.83/8.88  % clauses                               4
% 48.83/8.88  % conjectures                           1
% 48.83/8.88  % EPR                                   0
% 48.83/8.88  % Horn                                  4
% 48.83/8.88  % unary                                 1
% 48.83/8.88  % binary                                2
% 48.83/8.88  % lits                                  8
% 48.83/8.88  % lits eq                               8
% 48.83/8.88  % fd_pure                               0
% 48.83/8.88  % fd_pseudo                             0
% 48.83/8.88  % fd_cond                               0
% 48.83/8.88  % fd_pseudo_cond                        0
% 48.83/8.88  % AC symbols                            0
% 48.83/8.88  
% 48.83/8.88  % ------ Schedule dynamic 5 is on 
% 48.83/8.88  
% 48.83/8.88  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 48.83/8.88  
% 48.83/8.88  
% 48.83/8.88  % ------ 
% 48.83/8.88  % Current options:
% 48.83/8.88  % ------ 
% 48.83/8.88  
% 48.83/8.88  
% 48.83/8.88  % 
% 48.83/8.88  
% 48.83/8.88  % ------ Proving...
% 48.83/8.88  % 
% 48.83/8.88  
% 48.83/8.88  % SZS status Unsatisfiable for theBenchmark.p
% 48.83/8.88  
% 48.83/8.88  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 48.83/8.88  
% 48.83/8.88  
%------------------------------------------------------------------------------