%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO014-3 : TPTP v9.3.1. Bugfixed v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 09:35:53 AM UTC 2026
% Result : Unsatisfiable 18.57s 3.37s
% Output : Refutation 19.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 24
% Syntax : Number of formulae : 179 ( 132 unt; 1 def)
% Number of atoms : 265 ( 131 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 175 ( 89 ~; 86 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 337 ( 337 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f2,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiplication) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f7,axiom,
! [X0] : product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f8,axiom,
! [X0] : product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity2) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X5,X6)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X5,X1,X6)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity3) ).
fof(f13,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X1,X3,X5)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X0,X5,X6)
| product(X2,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity5) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X2,X4,X6)
| ~ sum(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ sum(X0,X1,X2)
| sum(X0,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity6) ).
fof(f16,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X2,X4,X6)
| ~ sum(X3,X1,X4)
| ~ product(X0,X3,X5)
| ~ sum(X0,X1,X2)
| sum(X5,X1,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity8) ).
fof(f17,axiom,
! [X0] : sum(inverse(X0),X0,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f18,axiom,
! [X0] : sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f19,axiom,
! [X0] : product(inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f20,axiom,
! [X0] : product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse2) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f22,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f23,axiom,
! [X0] : inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_is_self_cancelling) ).
fof(f25,axiom,
sum(x,y,x_plus_y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_plus_y) ).
fof(f26,axiom,
product(inverse(x),inverse(y),x_inverse_times_y_inverse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_inverse_times_y_inverse) ).
fof(f27,negated_conjecture,
inverse(x_plus_y) != x_inverse_times_y_inverse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
fof(f28,plain,
x_inverse_times_y_inverse != inverse(x_plus_y),
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF0 = inverse(x_plus_y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f30,plain,
inverse(x_plus_y) = sF0,
inference(reorient_equations,[],[f29]) ).
fof(f31,plain,
x_inverse_times_y_inverse != sF0,
inference(definition_folding,[],[f28,f30]) ).
fof(f36,plain,
product(x_plus_y,sF0,additive_identity),
inference(superposition,[],[f20,f30]) ).
fof(f37,plain,
product(sF0,x_plus_y,additive_identity),
inference(superposition,[],[f19,f30]) ).
fof(f38,plain,
sum(x_plus_y,sF0,multiplicative_identity),
inference(superposition,[],[f18,f30]) ).
fof(f55,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f7,f22]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[],[f2,f22]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[],[f1,f21]) ).
fof(f60,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f5,f21]) ).
fof(f61,plain,
! [X0,X1] :
( ~ product(X0,multiplicative_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f8,f22]) ).
fof(f63,plain,
product(inverse(y),inverse(x),x_inverse_times_y_inverse),
inference(resolution,[],[f4,f26]) ).
fof(f66,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(resolution,[],[f4,f2]) ).
fof(f75,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f3,f1]) ).
fof(f80,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f21]) ).
fof(f100,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(resolution,[],[f60,f1]) ).
fof(f101,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(resolution,[],[f60,f75]) ).
fof(f107,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(resolution,[],[f55,f2]) ).
fof(f134,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X1,X5)
| ~ sum(X3,X0,X4)
| ~ product(X0,X1,X2)
| sum(X5,X2,multiply(X4,X1)) ),
inference(resolution,[],[f11,f2]) ).
fof(f144,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X3,X5)
| ~ sum(X3,X1,X4)
| ~ product(X0,X1,X2)
| sum(X5,X2,multiply(X0,X4)) ),
inference(resolution,[],[f9,f2]) ).
fof(f153,plain,
! [X2,X3,X0,X1] :
( ~ sum(inverse(X0),X1,X2)
| ~ product(X0,X1,X3)
| sum(additive_identity,X3,multiply(X0,X2)) ),
inference(resolution,[],[f144,f20]) ).
fof(f154,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),X4,multiply(X3,X2)) ),
inference(resolution,[],[f144,f2]) ).
fof(f165,plain,
! [X2,X3,X0,X1] :
( sum(multiply(X3,X0),multiply(X3,X1),multiply(X3,X2))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f154,f2]) ).
fof(f197,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X0,X3),X4,multiply(X2,X3)) ),
inference(resolution,[],[f134,f2]) ).
fof(f203,plain,
! [X2,X3,X0,X1] :
( ~ sum(inverse(X0),X1,X2)
| ~ product(X1,X0,X3)
| sum(additive_identity,X3,multiply(X2,X0)) ),
inference(resolution,[],[f134,f19]) ).
fof(f208,plain,
! [X2,X3,X0,X1] :
( sum(multiply(X0,X3),multiply(X1,X3),multiply(X2,X3))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f197,f2]) ).
fof(f248,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X5)
| sum(X0,X4,multiply(X5,X2)) ),
inference(resolution,[],[f14,f2]) ).
fof(f258,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X0,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X3,X1,X5)
| sum(X4,X1,multiply(X5,X2)) ),
inference(resolution,[],[f16,f2]) ).
fof(f267,plain,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
inference(resolution,[],[f58,f20]) ).
fof(f269,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(resolution,[],[f58,f66]) ).
fof(f272,plain,
x_inverse_times_y_inverse = multiply(inverse(x),inverse(y)),
inference(resolution,[],[f58,f26]) ).
fof(f273,plain,
x_inverse_times_y_inverse = multiply(inverse(y),inverse(x)),
inference(resolution,[],[f58,f63]) ).
fof(f274,plain,
! [X0] : additive_identity = multiply(inverse(X0),X0),
inference(resolution,[],[f58,f19]) ).
fof(f275,plain,
additive_identity = multiply(x_plus_y,sF0),
inference(resolution,[],[f58,f36]) ).
fof(f276,plain,
additive_identity = multiply(sF0,x_plus_y),
inference(resolution,[],[f58,f37]) ).
fof(f445,plain,
! [X2,X3,X0,X1] :
( ~ sum(inverse(X0),X1,X2)
| ~ sum(X0,X1,X3)
| sum(additive_identity,X1,multiply(X3,X2)) ),
inference(resolution,[],[f258,f20]) ).
fof(f446,plain,
! [X2,X3,X0,X1,X4] :
( sum(multiply(X3,X0),X1,multiply(X4,X2))
| ~ sum(X3,X1,X4)
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f258,f2]) ).
fof(f473,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,inverse(X1),X2)
| ~ sum(X0,X1,X3)
| sum(X0,additive_identity,multiply(X3,X2)) ),
inference(resolution,[],[f248,f20]) ).
fof(f474,plain,
! [X2,X3,X0,X1,X4] :
( sum(X0,multiply(X3,X1),multiply(X4,X2))
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f248,f2]) ).
fof(f534,plain,
! [X2,X3,X0,X1] :
( ~ sum(X1,X2,X3)
| multiply(X0,X3) = add(multiply(X0,X1),multiply(X0,X2)) ),
inference(resolution,[],[f59,f165]) ).
fof(f535,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X2,X3)
| multiply(X3,X1) = add(multiply(X0,X1),multiply(X2,X1)) ),
inference(resolution,[],[f59,f208]) ).
fof(f539,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X1,X2,X4)
| ~ sum(X0,X2,X3)
| multiply(X3,X4) = add(multiply(X0,X1),X2) ),
inference(resolution,[],[f59,f446]) ).
fof(f541,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X2,X4)
| ~ sum(X0,X1,X3)
| multiply(X3,X4) = add(X0,multiply(X1,X2)) ),
inference(resolution,[],[f59,f474]) ).
fof(f598,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,multiply(X3,X1),X5)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2)
| product(X4,X2,X5) ),
inference(resolution,[],[f13,f2]) ).
fof(f674,plain,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
inference(resolution,[],[f535,f1]) ).
fof(f675,plain,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X1,X2),multiply(X0,X2)),
inference(resolution,[],[f535,f75]) ).
fof(f688,plain,
! [X0] : multiply(x_plus_y,X0) = add(multiply(x,X0),multiply(y,X0)),
inference(resolution,[],[f535,f25]) ).
fof(f694,plain,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = multiply(add(X1,X0),X2),
inference(forward_demodulation,[],[f674,f675]) ).
fof(f809,plain,
! [X2,X0,X1] : add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(resolution,[],[f534,f1]) ).
fof(f810,plain,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X2),multiply(X0,X1)),
inference(resolution,[],[f534,f75]) ).
fof(f823,plain,
! [X0] : multiply(X0,x_plus_y) = add(multiply(X0,x),multiply(X0,y)),
inference(resolution,[],[f534,f25]) ).
fof(f829,plain,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = multiply(X0,add(X2,X1)),
inference(forward_demodulation,[],[f809,f810]) ).
fof(f945,plain,
! [X2,X0,X1] :
( sum(additive_identity,X2,multiply(X0,add(inverse(X0),X1)))
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f153,f1]) ).
fof(f960,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,add(inverse(X0),X1)) = X2 ),
inference(resolution,[],[f945,f60]) ).
fof(f997,plain,
! [X0,X1] : multiply(X1,X0) = multiply(X0,add(inverse(X0),X1)),
inference(resolution,[],[f960,f66]) ).
fof(f1034,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = multiply(inverse(X0),add(X0,X1)),
inference(superposition,[],[f997,f23]) ).
fof(f1038,plain,
! [X0] : multiply(additive_identity,X0) = multiply(X0,inverse(X0)),
inference(superposition,[],[f997,f101]) ).
fof(f1078,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(forward_demodulation,[],[f1038,f267]) ).
fof(f1193,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(superposition,[],[f997,f1078]) ).
fof(f1435,plain,
! [X2,X0,X1] :
( sum(additive_identity,X2,multiply(add(inverse(X1),X0),X1))
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f203,f1]) ).
fof(f1450,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(add(inverse(X1),X0),X1) = X2 ),
inference(resolution,[],[f1435,f60]) ).
fof(f1493,plain,
! [X0,X1] : multiply(X0,X1) = multiply(add(inverse(X0),X1),X0),
inference(resolution,[],[f1450,f66]) ).
fof(f1583,plain,
! [X0,X1] : multiply(inverse(X0),X1) = multiply(add(X0,X1),inverse(X0)),
inference(superposition,[],[f1493,f23]) ).
fof(f1602,plain,
! [X0,X1] : multiply(X0,X1) = multiply(add(X1,inverse(X0)),X0),
inference(superposition,[],[f694,f1493]) ).
fof(f1727,plain,
! [X2,X0,X1] :
( sum(additive_identity,X1,multiply(X2,add(inverse(X0),X1)))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f445,f1]) ).
fof(f1741,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| multiply(X2,add(inverse(X0),X1)) = X1 ),
inference(resolution,[],[f1727,f60]) ).
fof(f1787,plain,
! [X0,X1] : multiply(add(X0,X1),add(inverse(X0),X1)) = X1,
inference(resolution,[],[f1741,f1]) ).
fof(f1788,plain,
! [X0,X1] : multiply(add(X0,X1),add(inverse(X1),X0)) = X0,
inference(resolution,[],[f1741,f75]) ).
fof(f1801,plain,
! [X0] : multiply(multiplicative_identity,add(inverse(inverse(X0)),X0)) = X0,
inference(resolution,[],[f1741,f17]) ).
fof(f1808,plain,
! [X0] : add(inverse(inverse(X0)),X0) = X0,
inference(forward_demodulation,[],[f1801,f107]) ).
fof(f1821,plain,
! [X0] : add(X0,X0) = X0,
inference(forward_demodulation,[],[f1808,f23]) ).
fof(f1827,plain,
! [X0] : sum(X0,X0,X0),
inference(superposition,[],[f75,f1821]) ).
fof(f1883,plain,
! [X0,X1] : multiply(add(inverse(X0),X1),add(X0,X1)) = X1,
inference(superposition,[],[f1787,f23]) ).
fof(f2124,plain,
! [X0,X1] : multiply(add(inverse(X1),X0),add(X0,X1)) = X0,
inference(superposition,[],[f829,f1883]) ).
fof(f2236,plain,
! [X0,X1] : multiply(add(X0,inverse(X1)),add(X0,X1)) = X0,
inference(superposition,[],[f694,f2124]) ).
fof(f2906,plain,
! [X2,X0,X1] :
( sum(X0,additive_identity,multiply(X2,add(X0,inverse(X1))))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f473,f1]) ).
fof(f2925,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| multiply(X2,add(X0,inverse(X1))) = X0 ),
inference(resolution,[],[f2906,f80]) ).
fof(f3029,plain,
x = multiply(x_plus_y,add(x,inverse(y))),
inference(resolution,[],[f2925,f25]) ).
fof(f3121,plain,
! [X2,X3,X0,X1,X4] :
( product(X2,X4,add(X0,multiply(X1,X3)))
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f598,f1]) ).
fof(f3202,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X2,X3)
| ~ sum(X0,X1,multiplicative_identity)
| add(X0,multiply(X2,X1)) = X3 ),
inference(resolution,[],[f3121,f61]) ).
fof(f3281,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,multiplicative_identity)
| add(X0,X2) = add(X0,multiply(X2,X1)) ),
inference(resolution,[],[f3202,f1]) ).
fof(f3318,plain,
! [X0,X1] : add(X0,X1) = add(X0,multiply(X1,inverse(X0))),
inference(resolution,[],[f3281,f18]) ).
fof(f3319,plain,
! [X0,X1] : add(inverse(X0),X1) = add(inverse(X0),multiply(X1,X0)),
inference(resolution,[],[f3281,f17]) ).
fof(f3336,plain,
! [X0,X1] : add(X0,X1) = add(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f3318,f269]) ).
fof(f3337,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = add(X0,add(X0,X1)),
inference(superposition,[],[f3318,f1583]) ).
fof(f3348,plain,
add(x,inverse(y)) = add(x,x_inverse_times_y_inverse),
inference(superposition,[],[f3318,f273]) ).
fof(f3355,plain,
! [X0,X1] : sum(multiply(X1,inverse(X0)),X0,add(X0,X1)),
inference(superposition,[],[f75,f3318]) ).
fof(f3371,plain,
! [X0,X1] : multiply(add(inverse(X0),X1),X0) = multiply(X0,multiply(X1,inverse(inverse(X0)))),
inference(superposition,[],[f1493,f3318]) ).
fof(f3384,plain,
! [X0,X1] : multiply(add(inverse(X0),X1),X0) = multiply(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f3371,f23]) ).
fof(f3404,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(X0,X1)),
inference(forward_demodulation,[],[f3336,f3337]) ).
fof(f3410,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f3384,f1493]) ).
fof(f3661,plain,
! [X0] : multiply(X0,x_plus_y) = add(multiply(X0,x),multiply(X0,x_plus_y)),
inference(superposition,[],[f3404,f823]) ).
fof(f3679,plain,
! [X0,X1] : multiply(add(X0,X1),add(inverse(add(X0,X1)),X0)) = X0,
inference(superposition,[],[f1788,f3404]) ).
fof(f3684,plain,
! [X0,X1] : multiply(add(X0,inverse(add(X0,X1))),add(X0,X1)) = X0,
inference(superposition,[],[f2236,f3404]) ).
fof(f3697,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f3684,f1602]) ).
fof(f3699,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(forward_demodulation,[],[f3679,f997]) ).
fof(f3700,plain,
! [X0] : multiply(X0,x_plus_y) = multiply(X0,add(x_plus_y,x)),
inference(forward_demodulation,[],[f3661,f810]) ).
fof(f3730,plain,
! [X0,X1] : multiply(add(X1,X0),X0) = X0,
inference(superposition,[],[f694,f3697]) ).
fof(f3813,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(superposition,[],[f269,f3730]) ).
fof(f3866,plain,
multiply(inverse(y),inverse(x)) = multiply(inverse(y),x_inverse_times_y_inverse),
inference(superposition,[],[f3410,f272]) ).
fof(f3867,plain,
multiply(inverse(x),inverse(y)) = multiply(inverse(x),x_inverse_times_y_inverse),
inference(superposition,[],[f3410,f273]) ).
fof(f3923,plain,
x_inverse_times_y_inverse = multiply(inverse(x),x_inverse_times_y_inverse),
inference(forward_demodulation,[],[f3867,f272]) ).
fof(f3924,plain,
x_inverse_times_y_inverse = multiply(inverse(y),x_inverse_times_y_inverse),
inference(forward_demodulation,[],[f3866,f273]) ).
fof(f5866,plain,
multiply(inverse(x_plus_y),x_plus_y) = multiply(x,inverse(x_plus_y)),
inference(superposition,[],[f3700,f1034]) ).
fof(f5893,plain,
multiply(sF0,x_plus_y) = multiply(x,sF0),
inference(forward_demodulation,[],[f5866,f30]) ).
fof(f5914,plain,
additive_identity = multiply(x,sF0),
inference(forward_demodulation,[],[f5893,f276]) ).
fof(f5926,plain,
multiply(x_plus_y,sF0) = add(additive_identity,multiply(y,sF0)),
inference(superposition,[],[f688,f5914]) ).
fof(f5949,plain,
multiply(sF0,additive_identity) = multiply(sF0,x),
inference(superposition,[],[f3410,f5914]) ).
fof(f5951,plain,
additive_identity = multiply(sF0,x),
inference(forward_demodulation,[],[f5949,f1193]) ).
fof(f5957,plain,
multiply(x_plus_y,sF0) = multiply(y,sF0),
inference(forward_demodulation,[],[f5926,f100]) ).
fof(f5959,plain,
additive_identity = multiply(y,sF0),
inference(forward_demodulation,[],[f5957,f275]) ).
fof(f5983,plain,
multiply(sF0,additive_identity) = multiply(sF0,y),
inference(superposition,[],[f3410,f5959]) ).
fof(f5985,plain,
additive_identity = multiply(sF0,y),
inference(forward_demodulation,[],[f5983,f1193]) ).
fof(f6019,plain,
add(inverse(y),sF0) = add(inverse(y),additive_identity),
inference(superposition,[],[f3319,f5985]) ).
fof(f6023,plain,
inverse(y) = add(inverse(y),sF0),
inference(forward_demodulation,[],[f6019,f101]) ).
fof(f6105,plain,
sF0 = multiply(sF0,inverse(y)),
inference(superposition,[],[f3813,f6023]) ).
fof(f7008,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,multiply(X1,X3)) = multiply(X2,add(X0,X3)) ),
inference(resolution,[],[f541,f1]) ).
fof(f7057,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X0,X1)),
inference(resolution,[],[f7008,f1827]) ).
fof(f7058,plain,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
inference(resolution,[],[f7008,f1]) ).
fof(f7059,plain,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X1,X0),add(X0,X2)),
inference(resolution,[],[f7008,f75]) ).
fof(f7060,plain,
! [X2,X0,X1] : add(multiply(X0,inverse(X1)),multiply(X1,X2)) = multiply(add(X1,X0),add(multiply(X0,inverse(X1)),X2)),
inference(resolution,[],[f7008,f3355]) ).
fof(f7091,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
inference(forward_demodulation,[],[f7057,f3699]) ).
fof(f7115,plain,
! [X0,X1] : add(X1,multiply(X0,X1)) = X1,
inference(superposition,[],[f7091,f997]) ).
fof(f7155,plain,
inverse(x) = add(inverse(x),x_inverse_times_y_inverse),
inference(superposition,[],[f7091,f3923]) ).
fof(f7156,plain,
inverse(y) = add(inverse(y),x_inverse_times_y_inverse),
inference(superposition,[],[f7091,f3924]) ).
fof(f7294,plain,
! [X2,X0,X1] : multiply(add(X0,X1),X0) = add(X0,multiply(X1,multiply(X0,X2))),
inference(superposition,[],[f7058,f7091]) ).
fof(f7423,plain,
! [X2,X0,X1] : add(X0,multiply(X1,multiply(X0,X2))) = X0,
inference(forward_demodulation,[],[f7294,f3697]) ).
fof(f7489,plain,
! [X2,X0,X1] : add(X1,X0) = add(add(X1,X0),multiply(X2,X0)),
inference(superposition,[],[f7423,f1787]) ).
fof(f7747,plain,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X1,X0),add(X2,X0)),
inference(superposition,[],[f829,f7059]) ).
fof(f8615,plain,
multiply(inverse(x),x) = multiply(x,x_inverse_times_y_inverse),
inference(superposition,[],[f1493,f7155]) ).
fof(f8677,plain,
additive_identity = multiply(x,x_inverse_times_y_inverse),
inference(forward_demodulation,[],[f8615,f274]) ).
fof(f8683,plain,
multiply(x_plus_y,x_inverse_times_y_inverse) = add(additive_identity,multiply(y,x_inverse_times_y_inverse)),
inference(superposition,[],[f688,f8677]) ).
fof(f8720,plain,
multiply(y,x_inverse_times_y_inverse) = multiply(x_plus_y,x_inverse_times_y_inverse),
inference(forward_demodulation,[],[f8683,f100]) ).
fof(f8848,plain,
multiply(inverse(y),y) = multiply(y,x_inverse_times_y_inverse),
inference(superposition,[],[f1493,f7156]) ).
fof(f8910,plain,
additive_identity = multiply(y,x_inverse_times_y_inverse),
inference(forward_demodulation,[],[f8848,f274]) ).
fof(f13471,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),multiply(X1,X0)) = add(X0,multiply(X1,multiply(X0,inverse(X1)))),
inference(superposition,[],[f7747,f7060]) ).
fof(f13528,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f13471,f7423]) ).
fof(f13827,plain,
x_inverse_times_y_inverse = add(multiply(x_inverse_times_y_inverse,inverse(x_plus_y)),multiply(y,x_inverse_times_y_inverse)),
inference(superposition,[],[f13528,f8720]) ).
fof(f13931,plain,
x_inverse_times_y_inverse = add(multiply(x_inverse_times_y_inverse,inverse(x_plus_y)),additive_identity),
inference(forward_demodulation,[],[f13827,f8910]) ).
fof(f14009,plain,
x_inverse_times_y_inverse = multiply(x_inverse_times_y_inverse,inverse(x_plus_y)),
inference(forward_demodulation,[],[f13931,f101]) ).
fof(f14039,plain,
x_inverse_times_y_inverse = multiply(x_inverse_times_y_inverse,sF0),
inference(forward_demodulation,[],[f14009,f30]) ).
fof(f14070,plain,
sF0 = add(sF0,x_inverse_times_y_inverse),
inference(superposition,[],[f7115,f14039]) ).
fof(f14127,plain,
! [X0] : add(x_inverse_times_y_inverse,multiply(sF0,X0)) = multiply(sF0,add(X0,x_inverse_times_y_inverse)),
inference(superposition,[],[f7747,f14070]) ).
fof(f21659,plain,
! [X0] : add(X0,inverse(y)) = add(add(X0,inverse(y)),sF0),
inference(superposition,[],[f7489,f6105]) ).
fof(f23513,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| multiply(X2,add(X3,X1)) = add(multiply(X0,X3),X1) ),
inference(resolution,[],[f539,f1]) ).
fof(f23599,plain,
! [X0] : multiply(multiplicative_identity,add(X0,sF0)) = add(multiply(x_plus_y,X0),sF0),
inference(resolution,[],[f23513,f38]) ).
fof(f23610,plain,
! [X0] : add(X0,sF0) = add(multiply(x_plus_y,X0),sF0),
inference(forward_demodulation,[],[f23599,f107]) ).
fof(f24343,plain,
add(x,sF0) = add(add(x,inverse(y)),sF0),
inference(superposition,[],[f23610,f3029]) ).
fof(f24488,plain,
add(x,inverse(y)) = add(x,sF0),
inference(forward_demodulation,[],[f24343,f21659]) ).
fof(f24506,plain,
add(x,x_inverse_times_y_inverse) = add(x,sF0),
inference(forward_demodulation,[],[f24488,f3348]) ).
fof(f24536,plain,
sF0 = multiply(sF0,add(x,x_inverse_times_y_inverse)),
inference(superposition,[],[f3813,f24506]) ).
fof(f24570,plain,
sF0 = add(x_inverse_times_y_inverse,multiply(sF0,x)),
inference(forward_demodulation,[],[f24536,f14127]) ).
fof(f24588,plain,
sF0 = add(x_inverse_times_y_inverse,additive_identity),
inference(forward_demodulation,[],[f24570,f5951]) ).
fof(f24602,plain,
x_inverse_times_y_inverse = sF0,
inference(forward_demodulation,[],[f24588,f101]) ).
fof(f24613,plain,
$false,
inference(forward_subsumption_resolution,[],[f24602,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO014-3 : TPTP v9.3.1. Bugfixed v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n001.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 21:10:04 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running first-order theorem proving
% 0.11/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.57/3.36 % (751044)Input is clausal, will run a generic CNF schedule.
% 18.57/3.36 % (751065)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3996829698:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 18.57/3.36 % (751067)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3019671973:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 18.57/3.36 % (751068)lrs+10_1_sil=8000:sp=occurrence:random_seed=4118873095:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 18.57/3.36 % (751066)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2455014958:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 18.57/3.36 % (751070)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2273795631:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 18.57/3.36 % (751069)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=930026968:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 18.57/3.36 % (751071)dis-21_1_sil=8000:lcm=predicate:random_seed=3989022155:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 18.57/3.36 % (751068)Instruction limit reached!
% 18.57/3.36 % (751068)------------------------------
% 18.57/3.36 % (751068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.36 % (751069)Instruction limit reached!
% 18.57/3.36 % (751069)------------------------------
% 18.57/3.36 % (751069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.36 % (751069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.36 % (751068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.36 % (751069)CaDiCaL version: 2.1.3
% 18.57/3.36 % (751068)CaDiCaL version: 2.1.3
% 18.57/3.36 % (751069)Termination reason: Instruction limit
% 18.57/3.36 % (751069)Termination phase: Saturation
% 18.57/3.36 % (751068)Termination reason: Instruction limit
% 18.57/3.36 % (751068)Termination phase: Saturation
% 18.57/3.36 % (751069)Time elapsed: 0.107 s
% 18.57/3.36 % (751068)Time elapsed: 0.115 s
% 18.57/3.36 % (751069)Peak memory usage: 88 MB
% 18.57/3.36 % (751068)Peak memory usage: 88 MB
% 18.57/3.36 % (751068)Instructions burned: 107 (million)
% 18.57/3.36 % (751069)Instructions burned: 114 (million)
% 18.57/3.36 % (751071)Instruction limit reached!
% 18.57/3.36 % (751071)------------------------------
% 18.57/3.36 % (751071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.36 % (751071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.36 % (751071)CaDiCaL version: 2.1.3
% 18.57/3.36 % (751071)Termination reason: Instruction limit
% 18.57/3.36 % (751071)Termination phase: Saturation
% 18.57/3.36 % (751071)Time elapsed: 0.110 s
% 18.57/3.36 % (751071)Peak memory usage: 89 MB
% 18.57/3.36 % (751071)Instructions burned: 117 (million)
% 18.57/3.36 % (751070)Instruction limit reached!
% 18.57/3.36 % (751070)------------------------------
% 18.57/3.36 % (751070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.36 % (751070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.36 % (751070)CaDiCaL version: 2.1.3
% 18.57/3.36 % (751070)Termination reason: Instruction limit
% 18.57/3.36 % (751070)Termination phase: Saturation
% 18.57/3.36 % (751070)Time elapsed: 0.187 s
% 18.57/3.36 % (751070)Peak memory usage: 89 MB
% 18.57/3.36 % (751070)Instructions burned: 180 (million)
% 18.57/3.36 % (751079)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4003977650:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 18.57/3.36 % (751080)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1189227569:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 18.57/3.36 % (751081)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2155515728:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 18.57/3.36 % (751082)lrs+10_64_to=lpo:sil=8000:random_seed=341592926:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 18.57/3.36 % (751079)Instruction limit reached!
% 18.57/3.36 % (751079)------------------------------
% 18.57/3.36 % (751079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.37 % (751079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.37 % (751079)CaDiCaL version: 2.1.3
% 18.57/3.37 % (751079)Termination reason: Instruction limit
% 18.57/3.37 % (751079)Termination phase: Saturation
% 18.57/3.37 % (751079)Time elapsed: 0.146 s
% 18.57/3.37 % (751079)Peak memory usage: 88 MB
% 18.57/3.37 % (751079)Instructions burned: 144 (million)
% 18.57/3.37 % (751080)Instruction limit reached!
% 18.57/3.37 % (751080)------------------------------
% 18.57/3.37 % (751080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.37 % (751080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.37 % (751080)CaDiCaL version: 2.1.3
% 18.57/3.37 % (751080)Termination reason: Instruction limit
% 18.57/3.37 % (751080)Termination phase: Saturation
% 18.57/3.37 % (751080)Time elapsed: 0.172 s
% 18.57/3.37 % (751080)Peak memory usage: 89 MB
% 18.57/3.37 % (751080)Instructions burned: 190 (million)
% 18.57/3.37 % (751082)Instruction limit reached!
% 18.57/3.37 % (751082)------------------------------
% 18.57/3.37 % (751082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.37 % (751082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.37 % (751082)CaDiCaL version: 2.1.3
% 18.57/3.37 % (751082)Termination reason: Instruction limit
% 18.57/3.37 % (751082)Termination phase: Saturation
% 18.57/3.37 % (751082)Time elapsed: 0.123 s
% 18.57/3.37 % (751082)Peak memory usage: 88 MB
% 18.57/3.37 % (751082)Instructions burned: 127 (million)
% 18.57/3.37 % (751081)Instruction limit reached!
% 18.57/3.37 % (751081)------------------------------
% 18.57/3.37 % (751081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.37 % (751081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.37 % (751081)CaDiCaL version: 2.1.3
% 18.57/3.37 % (751081)Termination reason: Instruction limit
% 18.57/3.37 % (751081)Termination phase: Saturation
% 18.57/3.37 % (751081)Time elapsed: 0.217 s
% 18.57/3.37 % (751081)Peak memory usage: 89 MB
% 18.57/3.37 % (751081)Instructions burned: 219 (million)
% 18.57/3.37 % (751088)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=661445916:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 18.57/3.37 % (751089)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3458476517:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 18.57/3.37 % (751090)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3008091213:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 18.57/3.37 % (751091)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3395705619:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 18.57/3.37 % (751091)Refutation not found, incomplete strategy
% 18.57/3.37 % (751091)------------------------------
% 18.57/3.37 % (751091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.37 % (751091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.37 % (751091)CaDiCaL version: 2.1.3
% 18.57/3.37 % (751091)Termination reason: Refutation not found, incomplete strategy
% 18.57/3.37 % (751091)Time elapsed: 0.068 s
% 18.57/3.37 % (751091)Peak memory usage: 89 MB
% 18.57/3.37 % (751091)Instructions burned: 63 (million)
% 18.57/3.37 % (751089)Instruction limit reached!
% 18.57/3.37 % (751089)------------------------------
% 18.57/3.37 % (751089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.37 % (751089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.37 % (751089)CaDiCaL version: 2.1.3
% 18.57/3.37 % (751089)Termination reason: Instruction limit
% 18.57/3.37 % (751089)Termination phase: Saturation
% 18.57/3.37 % (751089)Time elapsed: 0.164 s
% 18.57/3.37 % (751089)Peak memory usage: 90 MB
% 18.57/3.37 % (751089)Instructions burned: 157 (million)
% 18.57/3.37 % (751088)Instruction limit reached!
% 18.57/3.37 % (751088)------------------------------
% 18.57/3.37 % (751088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.37 % (751088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.37 % (751088)CaDiCaL version: 2.1.3
% 18.57/3.37 % (751088)Termination reason: Instruction limit
% 18.57/3.37 % (751088)Termination phase: Saturation
% 18.57/3.37 % (751088)Time elapsed: 0.210 s
% 18.57/3.37 % (751088)Peak memory usage: 89 MB
% 18.57/3.37 % (751088)Instructions burned: 194 (million)
% 18.57/3.37 % (751096)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1530679008:i=107_2986 on theBenchmark for (2986ds/107Mi)
% 18.57/3.37 % (751097)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1351515778:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 18.57/3.37 % (751091)------------------------------
% 18.57/3.37 % (751091)------------------------------
% 18.57/3.37 % (751096)Instruction limit reached!
% 18.57/3.37 % (751096)------------------------------
% 18.57/3.37 % (751096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.37 % (751096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.37 % (751096)CaDiCaL version: 2.1.3
% 18.57/3.37 % (751096)Termination reason: Instruction limit
% 18.57/3.37 % (751096)Termination phase: Saturation
% 18.57/3.37 % (751096)Time elapsed: 0.114 s
% 18.57/3.37 % (751096)Peak memory usage: 88 MB
% 18.57/3.37 % (751096)Instructions burned: 107 (million)
% 18.57/3.37 % (751097)Instruction limit reached!
% 18.57/3.37 % (751097)------------------------------
% 18.57/3.37 % (751097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.37 % (751097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.37 % (751097)CaDiCaL version: 2.1.3
% 18.57/3.37 % (751097)Termination reason: Instruction limit
% 18.57/3.37 % (751097)Termination phase: Saturation
% 18.57/3.37 % (751097)Time elapsed: 0.248 s
% 18.57/3.37 % (751097)Peak memory usage: 88 MB
% 18.57/3.37 % (751097)Instructions burned: 242 (million)
% 18.57/3.37 % (751100)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3514354556:cond=fast:i=5208:av=off_2982 on theBenchmark for (2982ds/5208Mi)
% 18.57/3.37 % (751101)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=42168349:i=134:sd=2:doe=on:ss=axioms:sgt=14_2982 on theBenchmark for (2982ds/134Mi)
% 18.57/3.37 % (751101)Instruction limit reached!
% 18.57/3.37 % (751101)------------------------------
% 18.57/3.37 % (751101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.57/3.37 % (751101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.37 % (751101)CaDiCaL version: 2.1.3
% 18.57/3.37 % (751101)Termination reason: Instruction limit
% 18.57/3.37 % (751101)Termination phase: Saturation
% 18.57/3.37 % (751101)Time elapsed: 0.142 s
% 18.57/3.37 % (751101)Peak memory usage: 88 MB
% 18.57/3.37 % (751101)Instructions burned: 134 (million)
% 18.57/3.37 % (751102)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2774969696:i=499:bd=all_2980 on theBenchmark for (2980ds/499Mi)
% 18.57/3.37 % (751065)First to succeed.
% 18.57/3.37 % (751065)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-751044"
% 18.57/3.37 % (751105)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3903625668:i=191:fgj=on:bd=all_2978 on theBenchmark for (2978ds/191Mi)
% 18.57/3.37 % (751065)Refutation found. Thanks to Tanya!
% 18.57/3.37 % SZS status Unsatisfiable for theBenchmark
% 18.57/3.37 % SZS output start Proof for theBenchmark
% See solution above
% 19.05/3.56 % (751065)------------------------------
% 19.05/3.56 % (751065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/3.56 % (751065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.56 % (751065)CaDiCaL version: 2.1.3
% 19.05/3.56 % (751065)Termination reason: Refutation
% 19.05/3.56 % (751065)Time elapsed: 2.094 s
% 19.05/3.56 % (751065)Peak memory usage: 152 MB
% 19.05/3.56 % (751065)Instructions burned: 3508 (million)
% 19.05/3.56 % (751065)------------------------------
% 19.05/3.56 % (751065)------------------------------
% 19.05/3.56 % (751044)Success in time 2.626 s
% 19.05/3.56 % Vampire exiting
%------------------------------------------------------------------------------