%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO015-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 09:35:53 AM UTC 2026
% Result : Unsatisfiable 15.52s 2.75s
% Output : Refutation 16.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 23
% Syntax : Number of formulae : 157 ( 108 unt; 0 def)
% Number of atoms : 246 ( 116 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 180 ( 91 ~; 89 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 275 ( 275 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f2,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiplication) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).
fof(f7,axiom,
! [X0] : product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f8,axiom,
! [X0] : product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X3,X4)
| ~ product(X0,X1,X2)
| ~ sum(X1,X3,X5)
| ~ sum(X2,X4,X6)
| product(X0,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
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/sandbox2/benchmark/theBenchmark.p',distributivity3) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X3,X1,X4)
| ~ product(X0,X1,X2)
| ~ sum(X0,X3,X5)
| ~ sum(X2,X4,X6)
| product(X5,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity4) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',distributivity8) ).
fof(f17,axiom,
! [X0] : sum(inverse(X0),X0,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f18,axiom,
! [X0] : sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f19,axiom,
! [X0] : product(inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f20,axiom,
! [X0] : product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f23,negated_conjecture,
product(x,y,x_times_y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_times_y) ).
fof(f24,negated_conjecture,
sum(inverse(x),inverse(y),x_inverse_plus_y_inverse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_inverse_plus_y_inverse) ).
fof(f25,negated_conjecture,
inverse(x_times_y) != x_inverse_plus_y_inverse,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
fof(f26,plain,
x_inverse_plus_y_inverse != inverse(x_times_y),
inference(reorient_equations,[],[f25]) ).
fof(f30,plain,
product(y,x,x_times_y),
inference(resolution,[],[f4,f23]) ).
fof(f40,plain,
! [X0,X1] :
( ~ product(X0,multiplicative_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f8,f22]) ).
fof(f43,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(resolution,[],[f2,f4]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[],[f2,f22]) ).
fof(f45,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(resolution,[],[f2,f40]) ).
fof(f47,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f7,f22]) ).
fof(f50,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f6,f21]) ).
fof(f55,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f1,f3]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[],[f1,f21]) ).
fof(f57,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(resolution,[],[f1,f50]) ).
fof(f63,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(resolution,[],[f55,f50]) ).
fof(f74,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(resolution,[],[f56,f55]) ).
fof(f75,plain,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
inference(resolution,[],[f56,f18]) ).
fof(f88,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(resolution,[],[f44,f43]) ).
fof(f90,plain,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
inference(resolution,[],[f44,f20]) ).
fof(f91,plain,
x_times_y = multiply(x,y),
inference(resolution,[],[f44,f23]) ).
fof(f92,plain,
x_times_y = multiply(y,x),
inference(resolution,[],[f44,f30]) ).
fof(f117,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X2,multiply(X0,X3),X5)
| ~ sum(X1,X3,X4)
| ~ product(X0,X1,X2)
| product(X0,X4,X5) ),
inference(resolution,[],[f10,f2]) ).
fof(f124,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X0,X4)
| ~ sum(X0,X1,X2)
| product(X3,X2,add(X4,multiply(X3,X1))) ),
inference(resolution,[],[f117,f1]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( product(X3,X2,add(multiply(X3,X0),multiply(X3,X1)))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f124,f2]) ).
fof(f144,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(multiply(X3,X0),multiply(X3,X1)) = multiply(X3,X2) ),
inference(resolution,[],[f133,f44]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,multiplicative_identity)
| add(multiply(X2,X0),multiply(X2,X1)) = X2 ),
inference(resolution,[],[f133,f40]) ).
fof(f165,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
inference(resolution,[],[f147,f18]) ).
fof(f186,plain,
! [X2,X0,X1] : add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(resolution,[],[f144,f1]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X2,multiply(X3,X1),X5)
| ~ sum(X0,X3,X4)
| ~ product(X0,X1,X2)
| product(X4,X1,X5) ),
inference(resolution,[],[f12,f2]) ).
fof(f233,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X3,X4)
| ~ sum(X0,X1,X2)
| product(X2,X3,add(X4,multiply(X1,X3))) ),
inference(resolution,[],[f225,f1]) ).
fof(f243,plain,
! [X2,X3,X0,X1] :
( product(X2,X3,add(multiply(X0,X3),multiply(X1,X3)))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f233,f2]) ).
fof(f262,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,multiplicative_identity)
| add(multiply(X0,X2),multiply(X1,X2)) = X2 ),
inference(resolution,[],[f243,f47]) ).
fof(f284,plain,
! [X0,X1] : add(multiply(X0,X1),multiply(inverse(X0),X1)) = X1,
inference(resolution,[],[f262,f18]) ).
fof(f352,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(f364,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),X4,multiply(X3,X2)) ),
inference(resolution,[],[f352,f2]) ).
fof(f380,plain,
! [X2,X0,X1] :
( sum(multiply(X1,X0),additive_identity,multiply(X1,X2))
| ~ sum(X0,inverse(X1),X2) ),
inference(resolution,[],[f364,f20]) ).
fof(f414,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(f426,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(multiply(X0,X3),X4,multiply(X2,X3)) ),
inference(resolution,[],[f414,f2]) ).
fof(f441,plain,
! [X2,X0,X1] :
( sum(multiply(X0,X1),additive_identity,multiply(X2,X1))
| ~ sum(X0,inverse(X1),X2) ),
inference(resolution,[],[f426,f19]) ).
fof(f442,plain,
! [X2,X0,X1] :
( sum(multiply(X0,inverse(X1)),additive_identity,multiply(X2,inverse(X1)))
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f426,f20]) ).
fof(f476,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(f488,plain,
! [X2,X3,X0,X1,X4] :
( sum(X0,multiply(X3,X1),multiply(X4,X2))
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f476,f2]) ).
fof(f500,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2)
| multiply(X2,X4) = add(X0,multiply(X1,X3)) ),
inference(resolution,[],[f488,f56]) ).
fof(f514,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,multiply(X1,X3)) = multiply(X2,add(X0,X3)) ),
inference(resolution,[],[f500,f1]) ).
fof(f518,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| multiply(X2,multiplicative_identity) = add(X0,multiply(X1,inverse(X0))) ),
inference(resolution,[],[f500,f18]) ).
fof(f522,plain,
! [X0,X1] :
( ~ sum(inverse(x),X0,X1)
| multiply(X1,x_inverse_plus_y_inverse) = add(inverse(x),multiply(X0,inverse(y))) ),
inference(resolution,[],[f500,f24]) ).
fof(f524,plain,
! [X2,X0,X1] :
( ~ sum(inverse(X0),X1,X2)
| multiply(X2,multiplicative_identity) = add(inverse(X0),multiply(X1,X0)) ),
inference(resolution,[],[f500,f17]) ).
fof(f525,plain,
! [X2,X0,X1] :
( ~ sum(inverse(X0),X1,X2)
| add(inverse(X0),multiply(X1,X0)) = X2 ),
inference(forward_demodulation,[],[f524,f45]) ).
fof(f527,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,multiply(X1,inverse(X0))) = X2 ),
inference(forward_demodulation,[],[f518,f45]) ).
fof(f528,plain,
! [X0,X1] : add(X0,X1) = add(X0,multiply(X1,inverse(X0))),
inference(resolution,[],[f527,f1]) ).
fof(f529,plain,
! [X0,X1] : add(X1,X0) = add(X0,multiply(X1,inverse(X0))),
inference(resolution,[],[f527,f55]) ).
fof(f557,plain,
! [X0] : add(inverse(x),multiply(X0,inverse(y))) = multiply(add(inverse(x),X0),x_inverse_plus_y_inverse),
inference(resolution,[],[f522,f1]) ).
fof(f566,plain,
! [X0] : add(inverse(x),multiply(X0,inverse(y))) = multiply(x_inverse_plus_y_inverse,add(inverse(x),X0)),
inference(forward_demodulation,[],[f557,f88]) ).
fof(f593,plain,
! [X0,X1] : add(inverse(X0),multiply(X1,X0)) = add(inverse(X0),X1),
inference(resolution,[],[f525,f1]) ).
fof(f605,plain,
add(inverse(x),y) = add(inverse(x),x_times_y),
inference(superposition,[],[f593,f92]) ).
fof(f608,plain,
add(inverse(y),x) = add(inverse(y),x_times_y),
inference(superposition,[],[f593,f91]) ).
fof(f611,plain,
add(inverse(y),x) = add(x_times_y,inverse(y)),
inference(forward_demodulation,[],[f608,f74]) ).
fof(f612,plain,
add(inverse(x),y) = add(x_times_y,inverse(x)),
inference(forward_demodulation,[],[f605,f74]) ).
fof(f613,plain,
add(x_times_y,inverse(y)) = add(x,inverse(y)),
inference(forward_demodulation,[],[f611,f74]) ).
fof(f614,plain,
add(x_times_y,inverse(x)) = add(y,inverse(x)),
inference(forward_demodulation,[],[f612,f74]) ).
fof(f617,plain,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
inference(resolution,[],[f514,f1]) ).
fof(f716,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(f728,plain,
! [X2,X3,X0,X1,X4] :
( sum(multiply(X3,X0),X1,multiply(X4,X2))
| ~ sum(X3,X1,X4)
| ~ sum(X0,X1,X2) ),
inference(resolution,[],[f716,f2]) ).
fof(f738,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X3,X1,X4)
| ~ sum(X0,X1,X2)
| multiply(X2,X4) = add(multiply(X0,X3),X1) ),
inference(resolution,[],[f728,f56]) ).
fof(f862,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(multiply(X0,X3),X1) = multiply(X2,add(X3,X1)) ),
inference(resolution,[],[f738,f1]) ).
fof(f871,plain,
! [X0,X1] :
( ~ sum(X0,inverse(y),X1)
| multiply(X1,x_inverse_plus_y_inverse) = add(multiply(X0,inverse(x)),inverse(y)) ),
inference(resolution,[],[f738,f24]) ).
fof(f876,plain,
! [X0,X1] :
( ~ sum(X0,inverse(y),X1)
| multiply(X1,x_inverse_plus_y_inverse) = add(inverse(y),multiply(X0,inverse(x))) ),
inference(forward_demodulation,[],[f871,f74]) ).
fof(f906,plain,
! [X0] : add(inverse(y),multiply(X0,inverse(x))) = multiply(add(X0,inverse(y)),x_inverse_plus_y_inverse),
inference(resolution,[],[f876,f1]) ).
fof(f909,plain,
multiply(inverse(y),x_inverse_plus_y_inverse) = add(inverse(y),multiply(additive_identity,inverse(x))),
inference(resolution,[],[f876,f5]) ).
fof(f914,plain,
add(inverse(y),multiply(additive_identity,inverse(x))) = multiply(x_inverse_plus_y_inverse,inverse(y)),
inference(forward_demodulation,[],[f909,f88]) ).
fof(f917,plain,
! [X0] : add(inverse(y),multiply(X0,inverse(x))) = multiply(x_inverse_plus_y_inverse,add(X0,inverse(y))),
inference(forward_demodulation,[],[f906,f88]) ).
fof(f984,plain,
! [X2,X0,X1] :
( ~ sum(X0,inverse(X1),X2)
| multiply(X1,X0) = multiply(X1,X2) ),
inference(resolution,[],[f380,f50]) ).
fof(f1015,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,add(X1,inverse(X0))),
inference(resolution,[],[f984,f1]) ).
fof(f1016,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,add(inverse(X0),X1)),
inference(resolution,[],[f984,f55]) ).
fof(f1163,plain,
multiply(x,x_times_y) = multiply(x,add(y,inverse(x))),
inference(superposition,[],[f1015,f614]) ).
fof(f1211,plain,
multiply(x,y) = multiply(x,x_times_y),
inference(forward_demodulation,[],[f1163,f1015]) ).
fof(f1219,plain,
x_times_y = multiply(x,x_times_y),
inference(forward_demodulation,[],[f1211,f91]) ).
fof(f1227,plain,
x = add(x_times_y,multiply(x,inverse(x_times_y))),
inference(superposition,[],[f165,f1219]) ).
fof(f1257,plain,
x = add(x,x_times_y),
inference(forward_demodulation,[],[f1227,f529]) ).
fof(f1523,plain,
! [X2,X0,X1] :
( ~ sum(X0,inverse(X1),X2)
| multiply(X0,X1) = multiply(X2,X1) ),
inference(resolution,[],[f441,f50]) ).
fof(f1574,plain,
! [X0] : multiply(inverse(X0),X0) = multiply(additive_identity,X0),
inference(resolution,[],[f1523,f5]) ).
fof(f1581,plain,
! [X0] : multiply(X0,inverse(X0)) = multiply(additive_identity,X0),
inference(forward_demodulation,[],[f1574,f88]) ).
fof(f1588,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(forward_demodulation,[],[f1581,f90]) ).
fof(f1761,plain,
multiply(x_inverse_plus_y_inverse,inverse(y)) = add(inverse(y),additive_identity),
inference(superposition,[],[f914,f1588]) ).
fof(f1803,plain,
add(inverse(x),additive_identity) = multiply(x_inverse_plus_y_inverse,add(inverse(x),additive_identity)),
inference(superposition,[],[f566,f1588]) ).
fof(f1804,plain,
inverse(x) = multiply(x_inverse_plus_y_inverse,inverse(x)),
inference(forward_demodulation,[],[f1803,f57]) ).
fof(f1825,plain,
inverse(y) = multiply(x_inverse_plus_y_inverse,inverse(y)),
inference(forward_demodulation,[],[f1761,f57]) ).
fof(f1838,plain,
add(x,inverse(x)) = add(x,x_inverse_plus_y_inverse),
inference(superposition,[],[f528,f1804]) ).
fof(f1880,plain,
multiplicative_identity = add(x,x_inverse_plus_y_inverse),
inference(forward_demodulation,[],[f1838,f75]) ).
fof(f1902,plain,
add(y,inverse(y)) = add(y,x_inverse_plus_y_inverse),
inference(superposition,[],[f528,f1825]) ).
fof(f1911,plain,
! [X0] : multiply(x_inverse_plus_y_inverse,add(X0,inverse(y))) = add(multiply(x_inverse_plus_y_inverse,X0),inverse(y)),
inference(superposition,[],[f186,f1825]) ).
fof(f1940,plain,
! [X0] : multiply(x_inverse_plus_y_inverse,add(X0,inverse(y))) = add(inverse(y),multiply(x_inverse_plus_y_inverse,X0)),
inference(forward_demodulation,[],[f1911,f74]) ).
fof(f1944,plain,
multiplicative_identity = add(y,x_inverse_plus_y_inverse),
inference(forward_demodulation,[],[f1902,f75]) ).
fof(f1953,plain,
! [X0] : add(y,multiply(X0,x_inverse_plus_y_inverse)) = multiply(add(y,X0),multiplicative_identity),
inference(superposition,[],[f617,f1944]) ).
fof(f1958,plain,
! [X0] : add(y,X0) = add(y,multiply(X0,x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f1953,f45]) ).
fof(f2247,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| multiply(X0,inverse(X1)) = multiply(X2,inverse(X1)) ),
inference(resolution,[],[f442,f50]) ).
fof(f2297,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = multiply(add(X1,X0),inverse(X1)),
inference(resolution,[],[f2247,f55]) ).
fof(f2314,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = multiply(inverse(X1),add(X1,X0)),
inference(forward_demodulation,[],[f2297,f88]) ).
fof(f2848,plain,
multiply(x_times_y,inverse(x)) = multiply(inverse(x),x),
inference(superposition,[],[f2314,f1257]) ).
fof(f2851,plain,
! [X0] : multiply(multiply(X0,x_inverse_plus_y_inverse),inverse(y)) = multiply(inverse(y),add(y,X0)),
inference(superposition,[],[f2314,f1958]) ).
fof(f2932,plain,
! [X0] : multiply(X0,inverse(y)) = multiply(multiply(X0,x_inverse_plus_y_inverse),inverse(y)),
inference(forward_demodulation,[],[f2851,f2314]) ).
fof(f2935,plain,
multiply(x_times_y,inverse(x)) = multiply(x,inverse(x)),
inference(forward_demodulation,[],[f2848,f88]) ).
fof(f2976,plain,
! [X0] : multiply(X0,inverse(y)) = multiply(inverse(y),multiply(X0,x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f2932,f88]) ).
fof(f2978,plain,
additive_identity = multiply(x_times_y,inverse(x)),
inference(forward_demodulation,[],[f2935,f90]) ).
fof(f3042,plain,
add(inverse(y),additive_identity) = multiply(x_inverse_plus_y_inverse,add(x_times_y,inverse(y))),
inference(superposition,[],[f917,f2978]) ).
fof(f3094,plain,
add(inverse(y),additive_identity) = add(inverse(y),multiply(x_inverse_plus_y_inverse,x_times_y)),
inference(forward_demodulation,[],[f3042,f1940]) ).
fof(f3102,plain,
add(inverse(y),additive_identity) = add(inverse(y),multiply(x_times_y,x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f3094,f88]) ).
fof(f3106,plain,
inverse(y) = add(inverse(y),multiply(x_times_y,x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f3102,f57]) ).
fof(f3111,plain,
multiply(y,inverse(y)) = multiply(y,multiply(x_times_y,x_inverse_plus_y_inverse)),
inference(superposition,[],[f1016,f3106]) ).
fof(f3122,plain,
additive_identity = multiply(y,multiply(x_times_y,x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f3111,f90]) ).
fof(f3337,plain,
multiply(x_times_y,x_inverse_plus_y_inverse) = add(additive_identity,multiply(inverse(y),multiply(x_times_y,x_inverse_plus_y_inverse))),
inference(superposition,[],[f284,f3122]) ).
fof(f3361,plain,
multiply(x_times_y,x_inverse_plus_y_inverse) = multiply(inverse(y),multiply(x_times_y,x_inverse_plus_y_inverse)),
inference(forward_demodulation,[],[f3337,f63]) ).
fof(f3370,plain,
multiply(x_times_y,x_inverse_plus_y_inverse) = multiply(x_times_y,inverse(y)),
inference(forward_demodulation,[],[f3361,f2976]) ).
fof(f4369,plain,
multiply(y,add(x,inverse(y))) = multiply(y,x_times_y),
inference(superposition,[],[f1015,f613]) ).
fof(f4377,plain,
multiply(y,x) = multiply(y,x_times_y),
inference(forward_demodulation,[],[f4369,f1015]) ).
fof(f4380,plain,
multiply(x,y) = multiply(y,x_times_y),
inference(forward_demodulation,[],[f4377,f88]) ).
fof(f4383,plain,
x_times_y = multiply(y,x_times_y),
inference(forward_demodulation,[],[f4380,f91]) ).
fof(f4392,plain,
y = add(x_times_y,multiply(y,inverse(x_times_y))),
inference(superposition,[],[f165,f4383]) ).
fof(f4424,plain,
y = add(y,x_times_y),
inference(forward_demodulation,[],[f4392,f529]) ).
fof(f4434,plain,
multiply(inverse(y),y) = multiply(x_times_y,inverse(y)),
inference(superposition,[],[f2314,f4424]) ).
fof(f4436,plain,
multiply(inverse(y),y) = multiply(x_times_y,x_inverse_plus_y_inverse),
inference(forward_demodulation,[],[f4434,f3370]) ).
fof(f4439,plain,
multiply(y,inverse(y)) = multiply(x_times_y,x_inverse_plus_y_inverse),
inference(forward_demodulation,[],[f4436,f88]) ).
fof(f4442,plain,
additive_identity = multiply(x_times_y,x_inverse_plus_y_inverse),
inference(forward_demodulation,[],[f4439,f90]) ).
fof(f4461,plain,
x_inverse_plus_y_inverse = add(additive_identity,multiply(inverse(x_times_y),x_inverse_plus_y_inverse)),
inference(superposition,[],[f284,f4442]) ).
fof(f4485,plain,
x_inverse_plus_y_inverse = multiply(inverse(x_times_y),x_inverse_plus_y_inverse),
inference(forward_demodulation,[],[f4461,f63]) ).
fof(f4498,plain,
x_inverse_plus_y_inverse = multiply(x_inverse_plus_y_inverse,inverse(x_times_y)),
inference(forward_demodulation,[],[f4485,f88]) ).
fof(f6686,plain,
! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
inference(resolution,[],[f862,f1]) ).
fof(f7083,plain,
! [X0] : add(multiply(X0,x),x_inverse_plus_y_inverse) = multiply(add(X0,x_inverse_plus_y_inverse),multiplicative_identity),
inference(superposition,[],[f6686,f1880]) ).
fof(f7202,plain,
! [X0] : add(X0,x_inverse_plus_y_inverse) = add(multiply(X0,x),x_inverse_plus_y_inverse),
inference(forward_demodulation,[],[f7083,f45]) ).
fof(f7327,plain,
! [X0] : add(X0,x_inverse_plus_y_inverse) = add(x_inverse_plus_y_inverse,multiply(X0,x)),
inference(forward_demodulation,[],[f7202,f74]) ).
fof(f7806,plain,
add(y,x_inverse_plus_y_inverse) = add(x_inverse_plus_y_inverse,x_times_y),
inference(superposition,[],[f7327,f92]) ).
fof(f7830,plain,
add(y,x_inverse_plus_y_inverse) = add(x_times_y,x_inverse_plus_y_inverse),
inference(forward_demodulation,[],[f7806,f74]) ).
fof(f7833,plain,
multiplicative_identity = add(x_times_y,x_inverse_plus_y_inverse),
inference(forward_demodulation,[],[f7830,f1944]) ).
fof(f7844,plain,
multiply(x_inverse_plus_y_inverse,inverse(x_times_y)) = multiply(inverse(x_times_y),multiplicative_identity),
inference(superposition,[],[f2314,f7833]) ).
fof(f7853,plain,
inverse(x_times_y) = multiply(x_inverse_plus_y_inverse,inverse(x_times_y)),
inference(forward_demodulation,[],[f7844,f45]) ).
fof(f7863,plain,
x_inverse_plus_y_inverse = inverse(x_times_y),
inference(forward_demodulation,[],[f7853,f4498]) ).
fof(f7866,plain,
$false,
inference(forward_subsumption_resolution,[],[f7863,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO015-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n011.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 21:04:16 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.62/1.94 % (3785915)Input is clausal, will run a generic CNF schedule.
% 9.62/1.94 % (3785925)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=407117915:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.62/1.94 % (3785926)dis-21_1_sil=8000:lcm=predicate:random_seed=4216665151: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)
% 9.62/1.94 % (3785924)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3606831201:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.62/1.94 % (3785923)lrs+10_1_sil=8000:sp=occurrence:random_seed=3001932976:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.62/1.94 % (3785922)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1691878956:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.62/1.94 % (3785920)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=4018268476:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.62/1.94 % (3785921)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=557743386:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.62/1.94 % (3785925)Instruction limit reached!
% 9.62/1.94 % (3785925)------------------------------
% 9.62/1.94 % (3785925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/1.94 % (3785925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/1.94 % (3785925)CaDiCaL version: 2.1.3
% 9.62/1.94 % (3785925)Termination reason: Instruction limit
% 9.62/1.94 % (3785925)Termination phase: Saturation
% 9.62/1.94 % (3785925)Time elapsed: 0.058 s
% 9.62/1.94 % (3785925)Peak memory usage: 89 MB
% 9.62/1.94 % (3785925)Instructions burned: 183 (million)
% 9.62/1.94 % (3785926)Instruction limit reached!
% 9.62/1.94 % (3785926)------------------------------
% 9.62/1.94 % (3785926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/1.94 % (3785926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/1.94 % (3785926)CaDiCaL version: 2.1.3
% 9.62/1.94 % (3785926)Termination reason: Instruction limit
% 9.62/1.94 % (3785926)Termination phase: Saturation
% 9.62/1.94 % (3785926)Time elapsed: 0.059 s
% 9.62/1.94 % (3785926)Peak memory usage: 88 MB
% 9.62/1.94 % (3785926)Instructions burned: 119 (million)
% 9.62/1.94 % (3785924)Instruction limit reached!
% 9.62/1.94 % (3785924)------------------------------
% 9.62/1.94 % (3785924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/1.94 % (3785924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/1.94 % (3785924)CaDiCaL version: 2.1.3
% 9.62/1.94 % (3785924)Termination reason: Instruction limit
% 9.62/1.94 % (3785924)Termination phase: Saturation
% 9.62/1.94 % (3785924)Time elapsed: 0.065 s
% 9.62/1.94 % (3785924)Peak memory usage: 88 MB
% 9.62/1.94 % (3785924)Instructions burned: 115 (million)
% 9.62/1.94 % (3785923)Instruction limit reached!
% 9.62/1.94 % (3785923)------------------------------
% 9.62/1.94 % (3785923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/1.94 % (3785923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/1.94 % (3785923)CaDiCaL version: 2.1.3
% 9.62/1.94 % (3785923)Termination reason: Instruction limit
% 9.62/1.94 % (3785923)Termination phase: Saturation
% 9.62/1.94 % (3785923)Time elapsed: 0.072 s
% 9.62/1.94 % (3785923)Peak memory usage: 89 MB
% 9.62/1.94 % (3785923)Instructions burned: 108 (million)
% 9.62/1.94 % (3785934)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=643054510:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.62/1.94 % (3785934)Instruction limit reached!
% 9.62/1.94 % (3785934)------------------------------
% 9.62/1.94 % (3785934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/1.94 % (3785934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/1.94 % (3785934)CaDiCaL version: 2.1.3
% 9.62/1.94 % (3785934)Termination reason: Instruction limit
% 9.62/1.94 % (3785934)Termination phase: Saturation
% 9.62/1.94 % (3785934)Time elapsed: 0.051 s
% 9.62/1.94 % (3785934)Peak memory usage: 89 MB
% 9.62/1.94 % (3785934)Instructions burned: 146 (million)
% 9.62/1.94 % (3785936)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1562068174:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 15.52/2.75 % (3785935)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=743336914:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 15.52/2.75 % (3785937)lrs+10_64_to=lpo:sil=8000:random_seed=2793171308:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 15.52/2.75 % (3785939)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3798018465:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 15.52/2.75 % (3785937)Instruction limit reached!
% 15.52/2.75 % (3785937)------------------------------
% 15.52/2.75 % (3785937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/2.75 % (3785937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.75 % (3785937)CaDiCaL version: 2.1.3
% 15.52/2.75 % (3785937)Termination reason: Instruction limit
% 15.52/2.75 % (3785937)Termination phase: Saturation
% 15.52/2.75 % (3785937)Time elapsed: 0.082 s
% 15.52/2.75 % (3785937)Peak memory usage: 89 MB
% 15.52/2.75 % (3785937)Instructions burned: 127 (million)
% 15.52/2.75 % (3785935)Instruction limit reached!
% 15.52/2.75 % (3785935)------------------------------
% 15.52/2.75 % (3785935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/2.75 % (3785935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.75 % (3785935)CaDiCaL version: 2.1.3
% 15.52/2.75 % (3785935)Termination reason: Instruction limit
% 15.52/2.75 % (3785935)Termination phase: Saturation
% 15.52/2.75 % (3785935)Time elapsed: 0.100 s
% 15.52/2.75 % (3785935)Peak memory usage: 90 MB
% 15.52/2.75 % (3785935)Instructions burned: 189 (million)
% 15.52/2.75 % (3785936)Instruction limit reached!
% 15.52/2.75 % (3785936)------------------------------
% 15.52/2.75 % (3785936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/2.75 % (3785936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.75 % (3785936)CaDiCaL version: 2.1.3
% 15.52/2.75 % (3785936)Termination reason: Instruction limit
% 15.52/2.75 % (3785936)Termination phase: Saturation
% 15.52/2.75 % (3785936)Time elapsed: 0.124 s
% 15.52/2.75 % (3785936)Peak memory usage: 88 MB
% 15.52/2.75 % (3785936)Instructions burned: 219 (million)
% 15.52/2.75 % (3785939)Instruction limit reached!
% 15.52/2.75 % (3785939)------------------------------
% 15.52/2.75 % (3785939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/2.75 % (3785939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.75 % (3785939)CaDiCaL version: 2.1.3
% 15.52/2.75 % (3785939)Termination reason: Instruction limit
% 15.52/2.75 % (3785939)Termination phase: Saturation
% 15.52/2.75 % (3785939)Time elapsed: 0.072 s
% 15.52/2.75 % (3785939)Peak memory usage: 89 MB
% 15.52/2.75 % (3785939)Instructions burned: 195 (million)
% 15.52/2.75 % (3785944)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3119009178:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 15.52/2.75 % (3785945)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4068032599:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 15.52/2.75 % (3785947)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=702863305:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 15.52/2.75 % (3785946)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=1578473536:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 15.52/2.75 % (3785947)Instruction limit reached!
% 15.52/2.75 % (3785947)------------------------------
% 15.52/2.75 % (3785947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/2.75 % (3785947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.75 % (3785947)CaDiCaL version: 2.1.3
% 15.52/2.75 % (3785947)Termination reason: Instruction limit
% 15.52/2.75 % (3785947)Termination phase: Saturation
% 15.52/2.75 % (3785947)Time elapsed: 0.038 s
% 15.52/2.75 % (3785947)Peak memory usage: 89 MB
% 15.52/2.75 % (3785947)Instructions burned: 109 (million)
% 15.52/2.75 % (3785946)Instruction limit reached!
% 15.52/2.75 % (3785946)------------------------------
% 15.52/2.75 % (3785946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/2.75 % (3785946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.75 % (3785946)CaDiCaL version: 2.1.3
% 15.52/2.75 % (3785946)Termination reason: Instruction limit
% 15.52/2.75 % (3785946)Termination phase: Saturation
% 15.52/2.75 % (3785946)Time elapsed: 0.061 s
% 15.52/2.75 % (3785946)Peak memory usage: 89 MB
% 15.52/2.75 % (3785946)Instructions burned: 106 (million)
% 15.52/2.75 % (3785944)Instruction limit reached!
% 15.52/2.75 % (3785944)------------------------------
% 15.52/2.75 % (3785944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/2.75 % (3785944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.75 % (3785944)CaDiCaL version: 2.1.3
% 15.52/2.75 % (3785944)Termination reason: Instruction limit
% 15.52/2.75 % (3785944)Termination phase: Saturation
% 15.52/2.75 % (3785944)Time elapsed: 0.105 s
% 15.52/2.75 % (3785944)Peak memory usage: 90 MB
% 15.52/2.75 % (3785944)Instructions burned: 158 (million)
% 15.52/2.75 % (3785952)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3291797873:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 15.52/2.75 % (3785953)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=396793011:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 15.52/2.75 % (3785954)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=904256287:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 15.52/2.75 % (3785954)Instruction limit reached!
% 15.52/2.75 % (3785954)------------------------------
% 15.52/2.75 % (3785954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/2.75 % (3785954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.75 % (3785954)CaDiCaL version: 2.1.3
% 15.52/2.75 % (3785954)Termination reason: Instruction limit
% 15.52/2.75 % (3785954)Termination phase: Saturation
% 15.52/2.75 % (3785954)Time elapsed: 0.090 s
% 15.52/2.75 % (3785954)Peak memory usage: 88 MB
% 15.52/2.75 % (3785954)Instructions burned: 135 (million)
% 15.52/2.75 % (3785952)Instruction limit reached!
% 15.52/2.75 % (3785952)------------------------------
% 15.52/2.75 % (3785952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/2.75 % (3785952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.75 % (3785952)CaDiCaL version: 2.1.3
% 15.52/2.75 % (3785952)Termination reason: Instruction limit
% 15.52/2.75 % (3785952)Termination phase: Saturation
% 15.52/2.75 % (3785952)Time elapsed: 0.155 s
% 15.52/2.75 % (3785952)Peak memory usage: 89 MB
% 15.52/2.75 % (3785952)Instructions burned: 243 (million)
% 15.52/2.75 % (3785958)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=104651800:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 15.52/2.75 % (3785959)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2863215810:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 15.52/2.75 % (3785959)Instruction limit reached!
% 15.52/2.75 % (3785959)------------------------------
% 15.52/2.75 % (3785959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/2.75 % (3785959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.75 % (3785959)CaDiCaL version: 2.1.3
% 15.52/2.75 % (3785959)Termination reason: Instruction limit
% 15.52/2.75 % (3785959)Termination phase: Saturation
% 15.52/2.75 % (3785959)Time elapsed: 0.132 s
% 15.52/2.75 % (3785959)Peak memory usage: 91 MB
% 15.52/2.75 % (3785959)Instructions burned: 191 (million)
% 15.52/2.75 % (3785958)Instruction limit reached!
% 15.52/2.75 % (3785958)------------------------------
% 15.52/2.75 % (3785958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/2.75 % (3785958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.75 % (3785958)CaDiCaL version: 2.1.3
% 15.52/2.75 % (3785958)Termination reason: Instruction limit
% 15.52/2.75 % (3785958)Termination phase: Saturation
% 15.52/2.75 % (3785958)Time elapsed: 0.270 s
% 15.52/2.75 % (3785958)Peak memory usage: 92 MB
% 15.52/2.75 % (3785958)Instructions burned: 499 (million)
% 15.52/2.75 % (3785962)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3670468268:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 15.52/2.75 % (3785963)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=4036721088:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 15.52/2.75 % (3785962)Instruction limit reached!
% 15.52/2.75 % (3785962)------------------------------
% 15.52/2.75 % (3785962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/2.75 % (3785962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.75 % (3785962)CaDiCaL version: 2.1.3
% 15.52/2.75 % (3785962)Termination reason: Instruction limit
% 15.52/2.75 % (3785962)Termination phase: Saturation
% 15.52/2.75 % (3785962)Time elapsed: 0.156 s
% 15.52/2.75 % (3785962)Peak memory usage: 90 MB
% 15.52/2.75 % (3785962)Instructions burned: 265 (million)
% 15.52/2.75 % (3785963)Instruction limit reached!
% 15.52/2.75 % (3785963)------------------------------
% 15.52/2.75 % (3785963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/2.75 % (3785963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.75 % (3785963)CaDiCaL version: 2.1.3
% 15.52/2.75 % (3785963)Termination reason: Instruction limit
% 15.52/2.75 % (3785963)Termination phase: Saturation
% 15.52/2.75 % (3785963)Time elapsed: 0.099 s
% 15.52/2.75 % (3785963)Peak memory usage: 89 MB
% 15.52/2.75 % (3785963)Instructions burned: 157 (million)
% 15.52/2.75 % (3785966)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1707869679:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 15.52/2.75 % (3785967)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1542732454:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 15.52/2.75 % (3785967)Instruction limit reached!
% 15.52/2.75 % (3785967)------------------------------
% 15.52/2.75 % (3785967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/2.75 % (3785967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.75 % (3785967)CaDiCaL version: 2.1.3
% 15.52/2.75 % (3785967)Termination reason: Instruction limit
% 15.52/2.75 % (3785967)Termination phase: Saturation
% 15.52/2.75 % (3785967)Time elapsed: 0.281 s
% 15.52/2.75 % (3785967)Peak memory usage: 88 MB
% 15.52/2.75 % (3785967)Instructions burned: 539 (million)
% 15.52/2.75 % (3785945)First to succeed.
% 15.52/2.75 % (3785945)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3785915"
% 15.52/2.75 % (3785970)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2536169388:i=180:bd=preordered:av=off_2979 on theBenchmark for (2979ds/180Mi)
% 15.52/2.75 % (3785970)Instruction limit reached!
% 15.52/2.75 % (3785970)------------------------------
% 15.52/2.75 % (3785970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.52/2.75 % (3785970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.52/2.75 % (3785970)CaDiCaL version: 2.1.3
% 15.52/2.75 % (3785970)Termination reason: Instruction limit
% 15.52/2.75 % (3785970)Termination phase: Saturation
% 15.52/2.75 % (3785970)Time elapsed: 0.094 s
% 15.52/2.75 % (3785970)Peak memory usage: 89 MB
% 15.52/2.75 % (3785970)Instructions burned: 180 (million)
% 15.52/2.75 % (3785945)Refutation found. Thanks to Tanya!
% 15.52/2.75 % SZS status Unsatisfiable for theBenchmark
% 15.52/2.75 % SZS output start Proof for theBenchmark
% See solution above
% 16.89/2.94 % (3785945)------------------------------
% 16.89/2.94 % (3785945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.89/2.94 % (3785945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.94 % (3785945)CaDiCaL version: 2.1.3
% 16.89/2.94 % (3785945)Termination reason: Refutation
% 16.89/2.94 % (3785945)Time elapsed: 1.447 s
% 16.89/2.94 % (3785945)Peak memory usage: 141 MB
% 16.89/2.94 % (3785945)Instructions burned: 2286 (million)
% 16.89/2.94 % (3785945)------------------------------
% 16.89/2.94 % (3785945)------------------------------
% 16.89/2.94 % (3785915)Success in time 2.332 s
% 16.89/2.94 % Vampire exiting
%------------------------------------------------------------------------------