%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO026-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 : Tue Sep 29 09:36:12 AM UTC 2026
% Result : Unsatisfiable 0.93s 0.43s
% Output : Refutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 9
% Syntax : Number of formulae : 147 ( 147 unt; 0 def)
% Number of atoms : 147 ( 146 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 154 ( 154 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_add_property) ).
fof(f2,axiom,
! [X0] : add(X0,inverse(X0)) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X1,X0),add(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_multiply_property) ).
fof(f4,axiom,
! [X0] : multiply(X0,inverse(X0)) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse) ).
fof(f5,axiom,
! [X0,X1] : add(multiply(X0,inverse(X0)),add(multiply(X0,X1),multiply(inverse(X0),X1))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pixley1) ).
fof(f6,axiom,
! [X0,X1] : add(multiply(X0,inverse(X1)),add(multiply(X0,X1),multiply(inverse(X1),X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pixley2) ).
fof(f8,axiom,
! [X0,X1] : multiply(add(X0,inverse(X0)),multiply(add(X0,X1),add(inverse(X0),X1))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pixley1_dual) ).
fof(f9,axiom,
! [X0,X1] : multiply(add(X0,inverse(X1)),multiply(add(X0,X1),add(inverse(X1),X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pixley2_dual) ).
fof(f11,negated_conjecture,
multiply(add(a,b),b) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_multiply_add) ).
fof(f12,plain,
b != multiply(add(a,b),b),
inference(reorient_equations,[],[f11]) ).
fof(f13,plain,
! [X0,X1] : multiply(inverse(X0),add(X0,X1)) = add(n0,multiply(X1,inverse(X0))),
inference(superposition,[],[f1,f4]) ).
fof(f15,plain,
! [X0,X1] : add(inverse(X0),multiply(X0,X1)) = multiply(n1,add(X1,inverse(X0))),
inference(superposition,[],[f3,f2]) ).
fof(f16,plain,
! [X2,X3,X0,X1] : add(multiply(X2,X0),multiply(multiply(X1,X0),X3)) = multiply(multiply(X0,add(X1,X2)),add(X3,multiply(X2,X0))),
inference(superposition,[],[f3,f1]) ).
fof(f17,plain,
! [X0,X1] : add(inverse(X0),multiply(X1,X0)) = multiply(add(X1,inverse(X0)),n1),
inference(superposition,[],[f3,f2]) ).
fof(f18,plain,
! [X2,X3,X0,X1] : add(multiply(X2,X0),multiply(X3,multiply(X1,X0))) = multiply(add(X3,multiply(X2,X0)),multiply(X0,add(X1,X2))),
inference(superposition,[],[f3,f1]) ).
fof(f35,plain,
! [X0] : multiply(n1,add(inverse(X0),inverse(X0))) = add(inverse(X0),n0),
inference(superposition,[],[f15,f4]) ).
fof(f39,plain,
! [X0] : add(inverse(X0),multiply(X0,X0)) = multiply(n1,n1),
inference(superposition,[],[f15,f2]) ).
fof(f113,plain,
! [X0,X1] : add(multiply(X0,inverse(X0)),multiply(X1,add(X0,inverse(X0)))) = X1,
inference(forward_demodulation,[],[f5,f1]) ).
fof(f114,plain,
! [X0,X1] : add(multiply(X0,inverse(X0)),multiply(X1,n1)) = X1,
inference(forward_demodulation,[],[f113,f2]) ).
fof(f115,plain,
! [X1] : add(n0,multiply(X1,n1)) = X1,
inference(forward_demodulation,[],[f114,f4]) ).
fof(f116,plain,
! [X0,X1] : add(X1,inverse(X0)) = add(n0,add(inverse(X0),multiply(X1,X0))),
inference(superposition,[],[f115,f17]) ).
fof(f121,plain,
! [X0] : add(n0,multiply(multiply(X0,n1),inverse(n0))) = multiply(inverse(n0),X0),
inference(superposition,[],[f13,f115]) ).
fof(f122,plain,
! [X0,X1] : add(multiply(X0,n1),multiply(X1,n0)) = multiply(add(X1,multiply(X0,n1)),X0),
inference(superposition,[],[f3,f115]) ).
fof(f123,plain,
! [X0,X1] : add(multiply(X0,n1),multiply(n0,X1)) = multiply(X0,add(X1,multiply(X0,n1))),
inference(superposition,[],[f3,f115]) ).
fof(f172,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),multiply(X1,add(X0,inverse(X1)))) = X0,
inference(forward_demodulation,[],[f6,f1]) ).
fof(f176,plain,
! [X0] : add(multiply(X0,inverse(inverse(X0))),add(n0,multiply(inverse(inverse(X0)),inverse(X0)))) = X0,
inference(superposition,[],[f172,f13]) ).
fof(f229,plain,
! [X0,X1] : multiply(add(X0,inverse(X0)),add(X1,multiply(X0,inverse(X0)))) = X1,
inference(forward_demodulation,[],[f8,f3]) ).
fof(f230,plain,
! [X0,X1] : multiply(add(X0,inverse(X0)),add(X1,n0)) = X1,
inference(forward_demodulation,[],[f229,f4]) ).
fof(f231,plain,
! [X1] : multiply(n1,add(X1,n0)) = X1,
inference(forward_demodulation,[],[f230,f2]) ).
fof(f236,plain,
! [X0,X1] : multiply(add(X0,n0),add(X1,n1)) = add(multiply(X1,add(X0,n0)),X0),
inference(superposition,[],[f1,f231]) ).
fof(f237,plain,
! [X0,X1] : multiply(add(X0,n0),add(n1,X1)) = add(X0,multiply(X1,add(X0,n0))),
inference(superposition,[],[f1,f231]) ).
fof(f252,plain,
! [X0,X1] : multiply(add(X0,inverse(X1)),add(X1,multiply(X0,inverse(X1)))) = X0,
inference(forward_demodulation,[],[f9,f3]) ).
fof(f257,plain,
! [X0] : multiply(add(X0,inverse(inverse(X0))),multiply(n1,add(inverse(inverse(X0)),inverse(X0)))) = X0,
inference(superposition,[],[f252,f15]) ).
fof(f293,plain,
! [X0] : multiply(X0,X0) = add(multiply(X0,n1),multiply(n0,n0)),
inference(superposition,[],[f122,f115]) ).
fof(f307,plain,
! [X0] : add(X0,multiply(n1,n1)) = add(n0,add(multiply(n1,n1),multiply(X0,n0))),
inference(superposition,[],[f115,f122]) ).
fof(f308,plain,
! [X0,X1] : add(X0,multiply(X1,X1)) = add(multiply(add(X1,X0),n1),multiply(n0,n0)),
inference(superposition,[],[f293,f3]) ).
fof(f369,plain,
! [X0] : add(X0,X0) = multiply(add(X0,n0),add(n1,n1)),
inference(superposition,[],[f236,f231]) ).
fof(f390,plain,
! [X0,X1] : multiply(X0,add(X1,X1)) = multiply(add(multiply(X1,X0),n0),add(n1,n1)),
inference(superposition,[],[f369,f1]) ).
fof(f395,plain,
! [X0] : add(n0,multiply(X0,inverse(X0))) = multiply(inverse(X0),multiply(add(X0,n0),add(n1,n1))),
inference(superposition,[],[f13,f369]) ).
fof(f416,plain,
! [X0] : add(n0,n0) = multiply(inverse(X0),multiply(add(X0,n0),add(n1,n1))),
inference(forward_demodulation,[],[f395,f4]) ).
fof(f446,plain,
! [X0] : add(n0,multiply(X0,n1)) = add(X0,multiply(n0,add(X0,n0))),
inference(superposition,[],[f3,f237]) ).
fof(f466,plain,
! [X0] : add(X0,multiply(n0,add(X0,n0))) = X0,
inference(forward_demodulation,[],[f446,f115]) ).
fof(f858,plain,
! [X0,X1] : add(n0,n0) = multiply(inverse(multiply(X1,X0)),multiply(X0,add(X1,X1))),
inference(superposition,[],[f416,f390]) ).
fof(f925,plain,
! [X0] : add(n0,n0) = multiply(inverse(multiply(inverse(X0),n1)),add(inverse(X0),n0)),
inference(superposition,[],[f858,f35]) ).
fof(f2519,plain,
! [X0,X1] : add(multiply(n0,n1),multiply(multiply(X0,n1),X1)) = multiply(X0,add(X1,multiply(n0,n1))),
inference(superposition,[],[f16,f231]) ).
fof(f2741,plain,
! [X0] : multiply(n1,add(n0,multiply(X0,n1))) = multiply(X0,add(n1,multiply(n0,n1))),
inference(superposition,[],[f1,f2519]) ).
fof(f2769,plain,
! [X0] : multiply(n1,X0) = multiply(X0,add(n1,multiply(n0,n1))),
inference(forward_demodulation,[],[f2741,f115]) ).
fof(f2802,plain,
multiply(n1,n0) = add(multiply(n0,n1),multiply(n0,n1)),
inference(superposition,[],[f123,f2769]) ).
fof(f2807,plain,
add(multiply(add(n1,multiply(n0,n1)),n1),multiply(n0,n0)) = multiply(n1,add(n1,multiply(n0,n1))),
inference(superposition,[],[f293,f2769]) ).
fof(f2851,plain,
multiply(n1,n1) = add(multiply(add(n1,multiply(n0,n1)),n1),multiply(n0,n0)),
inference(forward_demodulation,[],[f2807,f2769]) ).
fof(f2854,plain,
multiply(n1,add(n0,n0)) = multiply(n1,n0),
inference(forward_demodulation,[],[f2802,f1]) ).
fof(f2862,plain,
multiply(n1,n1) = add(multiply(n0,n1),multiply(n1,n1)),
inference(forward_demodulation,[],[f2851,f308]) ).
fof(f2863,plain,
n0 = multiply(n1,n0),
inference(forward_demodulation,[],[f2854,f231]) ).
fof(f2867,plain,
multiply(n1,n1) = multiply(n1,add(n0,n1)),
inference(forward_demodulation,[],[f2862,f1]) ).
fof(f2871,plain,
! [X0] : add(n0,multiply(X0,n0)) = multiply(n0,add(n1,X0)),
inference(superposition,[],[f1,f2863]) ).
fof(f2875,plain,
add(n1,inverse(n0)) = add(n0,add(inverse(n0),n0)),
inference(superposition,[],[f116,f2863]) ).
fof(f2891,plain,
multiply(add(n0,n1),add(n1,n1)) = multiply(add(multiply(n1,n1),n0),add(n1,n1)),
inference(superposition,[],[f390,f2867]) ).
fof(f2895,plain,
add(multiply(n1,n1),multiply(n1,n1)) = multiply(add(n0,n1),add(n1,n1)),
inference(forward_demodulation,[],[f2891,f369]) ).
fof(f2901,plain,
add(multiply(n1,n1),multiply(n1,n1)) = add(n1,multiply(n0,n1)),
inference(forward_demodulation,[],[f2895,f3]) ).
fof(f2902,plain,
multiply(n1,add(n1,n1)) = add(n1,multiply(n0,n1)),
inference(forward_demodulation,[],[f2901,f1]) ).
fof(f3015,plain,
n1 = add(n1,add(n0,multiply(n0,n0))),
inference(superposition,[],[f466,f2871]) ).
fof(f3021,plain,
multiply(n1,n0) = add(n0,multiply(multiply(n0,n1),n0)),
inference(superposition,[],[f2769,f2871]) ).
fof(f3036,plain,
n0 = add(n0,multiply(multiply(n0,n1),n0)),
inference(forward_demodulation,[],[f3021,f2863]) ).
fof(f3076,plain,
add(multiply(n0,n1),multiply(n0,n0)) = add(multiply(multiply(n0,n1),n0),multiply(n0,n0)),
inference(superposition,[],[f308,f3036]) ).
fof(f3080,plain,
add(multiply(n0,n1),multiply(n0,n0)) = multiply(n0,add(multiply(n0,n1),n0)),
inference(forward_demodulation,[],[f3076,f1]) ).
fof(f3085,plain,
multiply(n0,n0) = multiply(n0,add(multiply(n0,n1),n0)),
inference(forward_demodulation,[],[f3080,f293]) ).
fof(f3172,plain,
multiply(n0,n1) = add(multiply(n0,n1),multiply(n0,n0)),
inference(superposition,[],[f466,f3085]) ).
fof(f3196,plain,
multiply(n0,n0) = multiply(n0,n1),
inference(forward_demodulation,[],[f3172,f293]) ).
fof(f3204,plain,
! [X0] : multiply(X0,X0) = add(multiply(X0,n1),multiply(n0,n1)),
inference(superposition,[],[f293,f3196]) ).
fof(f3212,plain,
n1 = add(n1,add(n0,multiply(n0,n1))),
inference(superposition,[],[f3015,f3196]) ).
fof(f3213,plain,
add(n0,multiply(n1,n1)) = add(n0,add(multiply(n1,n1),multiply(n0,n1))),
inference(superposition,[],[f307,f3196]) ).
fof(f3216,plain,
multiply(n0,n1) = add(multiply(n0,n1),multiply(n0,n1)),
inference(superposition,[],[f293,f3196]) ).
fof(f3231,plain,
multiply(n0,n1) = multiply(n1,add(n0,n0)),
inference(forward_demodulation,[],[f3216,f1]) ).
fof(f3233,plain,
add(n0,multiply(n1,n1)) = add(n0,multiply(n1,add(n1,n0))),
inference(forward_demodulation,[],[f3213,f1]) ).
fof(f3234,plain,
n1 = add(n1,n0),
inference(forward_demodulation,[],[f3212,f115]) ).
fof(f3239,plain,
! [X0] : multiply(X0,X0) = multiply(n1,add(X0,n0)),
inference(forward_demodulation,[],[f3204,f1]) ).
fof(f3242,plain,
n0 = multiply(n0,n1),
inference(forward_demodulation,[],[f3231,f231]) ).
fof(f3244,plain,
add(n0,multiply(n1,n1)) = add(n0,n1),
inference(forward_demodulation,[],[f3233,f231]) ).
fof(f3248,plain,
! [X0] : multiply(X0,X0) = X0,
inference(forward_demodulation,[],[f3239,f231]) ).
fof(f3251,plain,
n1 = add(n0,n1),
inference(forward_demodulation,[],[f3244,f115]) ).
fof(f3286,plain,
add(n0,n0) = multiply(inverse(n1),multiply(n1,add(n1,n1))),
inference(superposition,[],[f416,f3234]) ).
fof(f3318,plain,
add(n0,n0) = multiply(inverse(n1),add(n1,multiply(n0,n1))),
inference(forward_demodulation,[],[f3286,f2902]) ).
fof(f3336,plain,
add(n0,n0) = multiply(n1,inverse(n1)),
inference(forward_demodulation,[],[f3318,f2769]) ).
fof(f3341,plain,
n0 = add(n0,n0),
inference(forward_demodulation,[],[f3336,f4]) ).
fof(f3357,plain,
! [X0] : multiply(n1,X0) = multiply(X0,add(n1,n0)),
inference(superposition,[],[f2769,f3242]) ).
fof(f3377,plain,
! [X0] : add(n0,multiply(X0,n1)) = multiply(n1,add(n0,X0)),
inference(superposition,[],[f1,f3242]) ).
fof(f3391,plain,
! [X0] : multiply(n1,add(n0,X0)) = X0,
inference(forward_demodulation,[],[f3377,f115]) ).
fof(f3404,plain,
! [X0] : multiply(X0,n1) = multiply(n1,X0),
inference(forward_demodulation,[],[f3357,f3234]) ).
fof(f3438,plain,
! [X0] : multiply(n1,n1) = add(inverse(X0),X0),
inference(superposition,[],[f39,f3248]) ).
fof(f3481,plain,
! [X0,X1] : add(X0,X1) = add(X1,multiply(X0,X0)),
inference(superposition,[],[f3,f3248]) ).
fof(f3537,plain,
! [X0,X1] : add(X1,X0) = add(X0,X1),
inference(forward_demodulation,[],[f3481,f3248]) ).
fof(f3554,plain,
! [X0] : n1 = add(inverse(X0),X0),
inference(forward_demodulation,[],[f3438,f3248]) ).
fof(f3961,plain,
inverse(n0) = multiply(n1,n1),
inference(superposition,[],[f231,f3554]) ).
fof(f3994,plain,
n1 = inverse(n0),
inference(forward_demodulation,[],[f3961,f3248]) ).
fof(f4074,plain,
add(n1,n1) = add(n0,add(n1,n0)),
inference(superposition,[],[f2875,f3994]) ).
fof(f4142,plain,
add(n1,n1) = add(n0,n1),
inference(forward_demodulation,[],[f4074,f3234]) ).
fof(f4165,plain,
n1 = add(n1,n1),
inference(forward_demodulation,[],[f4142,f3251]) ).
fof(f5035,plain,
b != multiply(add(b,a),b),
inference(superposition,[],[f12,f3537]) ).
fof(f5071,plain,
! [X0] : add(X0,X0) = multiply(add(n0,X0),add(n1,n1)),
inference(superposition,[],[f369,f3537]) ).
fof(f5072,plain,
! [X0] : add(n0,n0) = multiply(inverse(X0),multiply(add(n0,X0),add(n1,n1))),
inference(superposition,[],[f416,f3537]) ).
fof(f5223,plain,
! [X0] : add(n0,n0) = multiply(inverse(X0),multiply(add(n0,X0),n1)),
inference(forward_demodulation,[],[f5072,f4165]) ).
fof(f5224,plain,
! [X0] : add(X0,X0) = multiply(add(n0,X0),n1),
inference(forward_demodulation,[],[f5071,f4165]) ).
fof(f5428,plain,
! [X0] : add(n0,n0) = multiply(inverse(X0),multiply(n1,add(n0,X0))),
inference(forward_demodulation,[],[f5223,f3404]) ).
fof(f5429,plain,
! [X0] : add(X0,X0) = multiply(n1,add(n0,X0)),
inference(forward_demodulation,[],[f5224,f3404]) ).
fof(f5582,plain,
! [X0] : add(n0,n0) = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f5428,f3391]) ).
fof(f5583,plain,
! [X0] : add(X0,X0) = X0,
inference(forward_demodulation,[],[f5429,f3391]) ).
fof(f5696,plain,
! [X0] : n0 = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f5582,f3341]) ).
fof(f5873,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,add(X0,X0)),
inference(superposition,[],[f1,f5583]) ).
fof(f5927,plain,
! [X0,X1] : multiply(X1,X0) = multiply(X0,X1),
inference(forward_demodulation,[],[f5873,f5583]) ).
fof(f6125,plain,
! [X0] : inverse(inverse(X0)) = add(n0,multiply(X0,add(inverse(inverse(X0)),inverse(X0)))),
inference(superposition,[],[f172,f5696]) ).
fof(f6169,plain,
! [X0] : inverse(inverse(X0)) = add(n0,multiply(X0,add(inverse(X0),inverse(inverse(X0))))),
inference(forward_demodulation,[],[f6125,f3537]) ).
fof(f6214,plain,
! [X0] : inverse(inverse(X0)) = add(n0,multiply(X0,n1)),
inference(forward_demodulation,[],[f6169,f2]) ).
fof(f6252,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f6214,f115]) ).
fof(f6317,plain,
! [X0] : add(multiply(X0,X0),add(n0,multiply(X0,inverse(X0)))) = X0,
inference(superposition,[],[f176,f6252]) ).
fof(f6320,plain,
! [X0] : multiply(add(X0,X0),multiply(n1,add(X0,inverse(X0)))) = X0,
inference(superposition,[],[f257,f6252]) ).
fof(f6397,plain,
! [X0] : multiply(add(X0,X0),multiply(n1,n1)) = X0,
inference(forward_demodulation,[],[f6320,f2]) ).
fof(f6400,plain,
! [X0] : add(multiply(X0,X0),add(n0,n0)) = X0,
inference(forward_demodulation,[],[f6317,f4]) ).
fof(f6427,plain,
! [X0] : multiply(add(X0,X0),n1) = X0,
inference(forward_demodulation,[],[f6397,f3248]) ).
fof(f6428,plain,
! [X0] : add(add(n0,n0),multiply(X0,X0)) = X0,
inference(forward_demodulation,[],[f6400,f3537]) ).
fof(f6444,plain,
! [X0] : multiply(n1,add(X0,X0)) = X0,
inference(forward_demodulation,[],[f6427,f3404]) ).
fof(f6445,plain,
! [X0] : add(add(n0,n0),X0) = X0,
inference(forward_demodulation,[],[f6428,f3248]) ).
fof(f6456,plain,
! [X0] : multiply(n1,X0) = X0,
inference(forward_demodulation,[],[f6444,f5583]) ).
fof(f6457,plain,
! [X0] : add(n0,X0) = X0,
inference(forward_demodulation,[],[f6445,f5583]) ).
fof(f6465,plain,
! [X0] : multiply(X0,n1) = X0,
inference(superposition,[],[f6456,f3404]) ).
fof(f7380,plain,
! [X0] : add(n0,n0) = multiply(inverse(inverse(X0)),add(inverse(X0),n0)),
inference(superposition,[],[f925,f6465]) ).
fof(f7475,plain,
! [X0] : add(n0,n0) = add(n0,multiply(n0,inverse(inverse(X0)))),
inference(forward_demodulation,[],[f7380,f13]) ).
fof(f7551,plain,
! [X0] : add(n0,n0) = multiply(n0,inverse(inverse(X0))),
inference(forward_demodulation,[],[f7475,f6457]) ).
fof(f7607,plain,
! [X0] : add(n0,n0) = multiply(n0,X0),
inference(forward_demodulation,[],[f7551,f6252]) ).
fof(f7640,plain,
! [X0] : n0 = multiply(n0,X0),
inference(forward_demodulation,[],[f7607,f5583]) ).
fof(f9203,plain,
b != multiply(b,add(b,a)),
inference(superposition,[],[f5035,f5927]) ).
fof(f10756,plain,
! [X0,X1] : add(multiply(multiply(X0,n1),inverse(n0)),multiply(n0,multiply(X1,inverse(n0)))) = multiply(multiply(inverse(n0),X0),multiply(inverse(n0),add(X1,multiply(X0,n1)))),
inference(superposition,[],[f18,f121]) ).
fof(f11101,plain,
! [X0,X1] : add(multiply(X0,inverse(n0)),multiply(n0,multiply(X1,inverse(n0)))) = multiply(multiply(inverse(n0),X0),multiply(inverse(n0),add(X1,X0))),
inference(forward_demodulation,[],[f10756,f6465]) ).
fof(f11379,plain,
! [X0,X1] : add(multiply(X0,n1),multiply(n0,multiply(X1,n1))) = multiply(multiply(n1,X0),multiply(n1,add(X1,X0))),
inference(forward_demodulation,[],[f11101,f3994]) ).
fof(f11641,plain,
! [X0,X1] : add(multiply(X0,n1),multiply(n0,multiply(X1,n1))) = multiply(multiply(n1,X0),add(X1,X0)),
inference(forward_demodulation,[],[f11379,f6456]) ).
fof(f11879,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X0,n1),multiply(n0,multiply(X1,n1))),
inference(forward_demodulation,[],[f11641,f6456]) ).
fof(f12091,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X0,n1),n0),
inference(forward_demodulation,[],[f11879,f7640]) ).
fof(f12275,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(n0,multiply(X0,n1)),
inference(forward_demodulation,[],[f12091,f3537]) ).
fof(f12423,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(forward_demodulation,[],[f12275,f115]) ).
fof(f12779,plain,
! [X0,X1] : multiply(X0,X0) = multiply(multiply(X0,X0),add(multiply(add(X0,X1),n1),multiply(n0,n0))),
inference(superposition,[],[f12423,f308]) ).
fof(f13018,plain,
! [X0,X1] : multiply(X0,X0) = multiply(multiply(X0,X0),add(multiply(n0,n0),multiply(add(X0,X1),n1))),
inference(forward_demodulation,[],[f12779,f3537]) ).
fof(f13108,plain,
! [X0,X1] : multiply(X0,X0) = multiply(multiply(X0,X0),add(multiply(n0,n0),multiply(n1,add(X0,X1)))),
inference(forward_demodulation,[],[f13018,f3404]) ).
fof(f13175,plain,
! [X0,X1] : multiply(X0,X0) = multiply(multiply(X0,X0),add(multiply(n0,n0),add(X0,X1))),
inference(forward_demodulation,[],[f13108,f6456]) ).
fof(f13223,plain,
! [X0,X1] : multiply(X0,X0) = multiply(multiply(X0,X0),add(n0,add(X0,X1))),
inference(forward_demodulation,[],[f13175,f3248]) ).
fof(f13255,plain,
! [X0,X1] : multiply(X0,X0) = multiply(multiply(X0,X0),add(X0,X1)),
inference(forward_demodulation,[],[f13223,f6457]) ).
fof(f13273,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(forward_demodulation,[],[f13255,f3248]) ).
fof(f13909,plain,
b != b,
inference(superposition,[],[f9203,f13273]) ).
fof(f13910,plain,
$false,
inference(trivial_inequality_removal,[],[f13909]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO026-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n011.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 21:05:01 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.93/0.43 % (3787259)Will run a generic schedule for satisfiability detection.
% 0.93/0.43 % (3787266)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2772950733:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.93/0.43 % (3787265)% WARNING: option uhcvi not known.
% 0.93/0.43 % (3787264)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4215227654_2999 on theBenchmark for (2999ds/0Mi)
% 0.93/0.43 % (3787267)dis+10_1_sil=32000:sp=arity:random_seed=2224100943:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.93/0.43 % (3787265)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2298861520:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.93/0.43 % (3787268)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3278929846:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.93/0.43 % (3787270)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1074204850:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.93/0.43 % (3787269)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=398041313:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.93/0.43 % TRYING [1]
% 0.93/0.43 % TRYING [2]
% 0.93/0.43 % TRYING [3]
% 0.93/0.43 % TRYING [4]
% 0.93/0.43 % (3787267)Instruction limit reached!
% 0.93/0.43 % (3787267)------------------------------
% 0.93/0.43 % (3787267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.43 % (3787267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.43 % (3787267)CaDiCaL version: 2.1.3
% 0.93/0.43 % (3787267)Termination reason: Instruction limit
% 0.93/0.43 % (3787267)Termination phase: Saturation
% 0.93/0.43 % (3787267)Time elapsed: 0.059 s
% 0.93/0.43 % (3787267)Peak memory usage: 12 MB
% 0.93/0.43 % (3787267)Instructions burned: 103 (million)
% 0.93/0.43 % (3787268)Instruction limit reached!
% 0.93/0.43 % (3787268)------------------------------
% 0.93/0.43 % (3787268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.43 % (3787268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.43 % (3787268)CaDiCaL version: 2.1.3
% 0.93/0.43 % (3787268)Termination reason: Instruction limit
% 0.93/0.43 % (3787268)Termination phase: Saturation
% 0.93/0.43 % (3787268)Time elapsed: 0.072 s
% 0.93/0.43 % (3787268)Peak memory usage: 13 MB
% 0.93/0.43 % (3787268)Instructions burned: 117 (million)
% 0.93/0.43 % (3787278)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3236671089:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.93/0.43 % TRYING [1]
% 0.93/0.43 % TRYING [2]
% 0.93/0.43 % TRYING [3]
% 0.93/0.43 % (3787269)Instruction limit reached!
% 0.93/0.43 % (3787269)------------------------------
% 0.93/0.43 % (3787269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.43 % (3787269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.43 % (3787269)CaDiCaL version: 2.1.3
% 0.93/0.43 % (3787269)Termination reason: Instruction limit
% 0.93/0.43 % (3787269)Termination phase: Saturation
% 0.93/0.43 % (3787269)Time elapsed: 0.084 s
% 0.93/0.43 % (3787269)Peak memory usage: 13 MB
% 0.93/0.43 % (3787269)Instructions burned: 132 (million)
% 0.93/0.43 % (3787279)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1976985571:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.93/0.43 % TRYING [4]
% 0.93/0.43 % TRYING [5]
% 0.93/0.43 % (3787270)Instruction limit reached!
% 0.93/0.43 % (3787270)------------------------------
% 0.93/0.43 % (3787270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.43 % (3787270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.43 % (3787270)CaDiCaL version: 2.1.3
% 0.93/0.43 % (3787270)Termination reason: Instruction limit
% 0.93/0.43 % (3787270)Termination phase: Saturation
% 0.93/0.43 % (3787270)Time elapsed: 0.101 s
% 0.93/0.43 % (3787270)Peak memory usage: 13 MB
% 0.93/0.43 % (3787270)Instructions burned: 160 (million)
% 0.93/0.43 % (3787281)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=2781984319:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.93/0.43 % (3787283)ott-21_1_sil=16000:fs=off:random_seed=350224368:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.93/0.43 % TRYING [5]
% 0.93/0.43 % (3787266) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3787259-3787266"...
% 0.93/0.43 % (3787266)...printing done.
% 0.93/0.43 % (3787266)Refutation found. Thanks to Tanya!
% 0.93/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.93/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.93/0.43 % (3787266)------------------------------
% 0.93/0.43 % (3787266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.43 % (3787266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.43 % (3787266)CaDiCaL version: 2.1.3
% 0.93/0.43 % (3787266)Termination reason: Refutation
% 0.93/0.43 % (3787266)Time elapsed: 0.173 s
% 0.93/0.43 % (3787266)Peak memory usage: 16 MB
% 0.93/0.43 % (3787266)Instructions burned: 666 (million)
% 0.93/0.43 % (3787259)Success in time 0.201 s
% 0.93/0.43 % Vampire exiting
%------------------------------------------------------------------------------