%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG028-7 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:35:12 PM UTC 2026
% Result : Unsatisfiable 104.78s 16.37s
% Output : Refutation 109.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 18
% Syntax : Number of formulae : 184 ( 184 unt; 0 def)
% Number of atoms : 184 ( 183 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 13 ( 13 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 520 ( 520 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_additive_identity) ).
fof(f2,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_additive_identity) ).
fof(f5,axiom,
! [X0] : multiply(X0,additive_identity) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_multiplicative_zero) ).
fof(f6,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X0] : add(additive_inverse(X0),X0) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_additive_inverse) ).
fof(f8,plain,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0] : add(X0,additive_inverse(X0)) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_additive_inverse) ).
fof(f10,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).
fof(f12,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribute1) ).
fof(f13,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribute2) ).
fof(f14,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_for_addition) ).
fof(f15,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_for_addition) ).
fof(f16,axiom,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_alternative) ).
fof(f17,axiom,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_alternative) ).
fof(f18,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associator) ).
fof(f22,axiom,
! [X0,X1] : multiply(additive_inverse(X0),X1) = additive_inverse(multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_product1) ).
fof(f23,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
inference(reorient_equations,[],[f22]) ).
fof(f24,axiom,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = additive_inverse(multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_product2) ).
fof(f25,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
inference(reorient_equations,[],[f24]) ).
fof(f28,axiom,
! [X2,X0,X1] : multiply(additive_inverse(X0),add(X1,X2)) = add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_of_difference3) ).
fof(f29,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),additive_inverse(X2)) = add(additive_inverse(multiply(X0,X2)),additive_inverse(multiply(X1,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_of_difference4) ).
fof(f30,negated_conjecture,
multiply(multiply(cx,multiply(cy,cx)),cz) != multiply(cx,multiply(cy,multiply(cx,cz))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_moufang) ).
fof(f31,plain,
! [X2,X0,X1] : add(additive_inverse(multiply(X0,X2)),additive_inverse(multiply(X1,X2))) = additive_inverse(multiply(add(X0,X1),X2)),
inference(backward_demodulation,[],[f29,f25]) ).
fof(f32,plain,
! [X2,X0,X1] : add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X0,X2))) = additive_inverse(multiply(X0,add(X1,X2))),
inference(backward_demodulation,[],[f28,f23]) ).
fof(f36,plain,
! [X2,X0,X1] : add(additive_inverse(multiply(X0,X2)),additive_inverse(multiply(X1,X2))) = additive_inverse(add(multiply(X0,X2),multiply(X1,X2))),
inference(forward_demodulation,[],[f31,f13]) ).
fof(f37,plain,
! [X2,X0,X1] : add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X0,X2))) = additive_inverse(add(multiply(X0,X1),multiply(X0,X2))),
inference(forward_demodulation,[],[f32,f12]) ).
fof(f55,plain,
! [X2,X0,X1] : associator(X0,additive_inverse(X1),X2) = add(multiply(additive_inverse(multiply(X0,X1)),X2),additive_inverse(multiply(X0,multiply(additive_inverse(X1),X2)))),
inference(superposition,[],[f18,f25]) ).
fof(f56,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(add(multiply(X0,X1),multiply(X0,X2)),X3),additive_inverse(multiply(X0,multiply(add(X1,X2),X3)))),
inference(superposition,[],[f18,f12]) ).
fof(f60,plain,
! [X2,X0,X1] : associator(X2,X0,additive_inverse(X1)) = add(multiply(multiply(X2,X0),additive_inverse(X1)),additive_inverse(multiply(X2,additive_inverse(multiply(X0,X1))))),
inference(superposition,[],[f18,f25]) ).
fof(f61,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(multiply(multiply(X3,X0),add(X1,X2)),additive_inverse(multiply(X3,add(multiply(X0,X1),multiply(X0,X2))))),
inference(superposition,[],[f18,f12]) ).
fof(f62,plain,
! [X2,X0,X1] : associator(X2,additive_inverse(X0),X1) = add(multiply(multiply(X2,additive_inverse(X0)),X1),additive_inverse(multiply(X2,additive_inverse(multiply(X0,X1))))),
inference(superposition,[],[f18,f23]) ).
fof(f63,plain,
! [X2,X0,X1] : associator(additive_inverse(X0),X1,X2) = add(multiply(multiply(additive_inverse(X0),X1),X2),additive_inverse(additive_inverse(multiply(X0,multiply(X1,X2))))),
inference(superposition,[],[f18,f23]) ).
fof(f66,plain,
! [X2,X0,X1] : associator(additive_inverse(X0),X1,X2) = add(multiply(multiply(additive_inverse(X0),X1),X2),multiply(X0,multiply(X1,X2))),
inference(forward_demodulation,[],[f63,f11]) ).
fof(f67,plain,
! [X2,X0,X1] : associator(X2,additive_inverse(X0),X1) = add(multiply(multiply(X2,additive_inverse(X0)),X1),additive_inverse(additive_inverse(multiply(X2,multiply(X0,X1))))),
inference(forward_demodulation,[],[f62,f25]) ).
fof(f68,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(multiply(multiply(X3,X0),add(X1,X2)),additive_inverse(add(multiply(X3,multiply(X0,X1)),multiply(X3,multiply(X0,X2))))),
inference(forward_demodulation,[],[f61,f12]) ).
fof(f69,plain,
! [X2,X0,X1] : associator(X2,X0,additive_inverse(X1)) = add(multiply(multiply(X2,X0),additive_inverse(X1)),additive_inverse(additive_inverse(multiply(X2,multiply(X0,X1))))),
inference(forward_demodulation,[],[f60,f25]) ).
fof(f73,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(add(multiply(X0,X1),multiply(X0,X2)),X3),additive_inverse(multiply(X0,add(multiply(X1,X3),multiply(X2,X3))))),
inference(forward_demodulation,[],[f56,f13]) ).
fof(f74,plain,
! [X2,X0,X1] : associator(X0,additive_inverse(X1),X2) = add(multiply(additive_inverse(multiply(X0,X1)),X2),additive_inverse(multiply(X0,additive_inverse(multiply(X1,X2))))),
inference(forward_demodulation,[],[f55,f23]) ).
fof(f75,plain,
! [X2,X0,X1] : associator(additive_inverse(X0),X1,X2) = add(multiply(additive_inverse(multiply(X0,X1)),X2),multiply(X0,multiply(X1,X2))),
inference(forward_demodulation,[],[f66,f23]) ).
fof(f76,plain,
! [X2,X0,X1] : associator(X2,additive_inverse(X0),X1) = add(multiply(multiply(X2,additive_inverse(X0)),X1),multiply(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f67,f11]) ).
fof(f77,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(multiply(multiply(X3,X0),add(X1,X2)),add(additive_inverse(multiply(X3,multiply(X0,X1))),additive_inverse(multiply(X3,multiply(X0,X2))))),
inference(forward_demodulation,[],[f68,f37]) ).
fof(f78,plain,
! [X2,X0,X1] : associator(X2,X0,additive_inverse(X1)) = add(multiply(multiply(X2,X0),additive_inverse(X1)),multiply(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f69,f11]) ).
fof(f82,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(add(multiply(X0,X1),multiply(X0,X2)),X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3))))),
inference(forward_demodulation,[],[f73,f12]) ).
fof(f83,plain,
! [X2,X0,X1] : associator(X0,additive_inverse(X1),X2) = add(multiply(additive_inverse(multiply(X0,X1)),X2),additive_inverse(additive_inverse(multiply(X0,multiply(X1,X2))))),
inference(forward_demodulation,[],[f74,f25]) ).
fof(f84,plain,
! [X2,X0,X1] : associator(additive_inverse(X0),X1,X2) = add(additive_inverse(multiply(multiply(X0,X1),X2)),multiply(X0,multiply(X1,X2))),
inference(forward_demodulation,[],[f75,f23]) ).
fof(f85,plain,
! [X2,X0,X1] : associator(X2,additive_inverse(X0),X1) = add(multiply(additive_inverse(multiply(X2,X0)),X1),multiply(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f76,f25]) ).
fof(f86,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(add(multiply(multiply(X3,X0),X1),multiply(multiply(X3,X0),X2)),add(additive_inverse(multiply(X3,multiply(X0,X1))),additive_inverse(multiply(X3,multiply(X0,X2))))),
inference(forward_demodulation,[],[f77,f12]) ).
fof(f87,plain,
! [X2,X0,X1] : associator(X2,X0,additive_inverse(X1)) = add(additive_inverse(multiply(multiply(X2,X0),X1)),multiply(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f78,f25]) ).
fof(f91,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(add(multiply(X0,X1),multiply(X0,X2)),X3),add(additive_inverse(multiply(X0,multiply(X1,X3))),additive_inverse(multiply(X0,multiply(X2,X3))))),
inference(forward_demodulation,[],[f82,f37]) ).
fof(f92,plain,
! [X2,X0,X1] : associator(X0,additive_inverse(X1),X2) = add(multiply(additive_inverse(multiply(X0,X1)),X2),multiply(X0,multiply(X1,X2))),
inference(forward_demodulation,[],[f83,f11]) ).
fof(f93,plain,
! [X2,X0,X1] : associator(X2,additive_inverse(X0),X1) = add(additive_inverse(multiply(multiply(X2,X0),X1)),multiply(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f85,f23]) ).
fof(f94,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(multiply(multiply(X3,X0),X1),add(multiply(multiply(X3,X0),X2),add(additive_inverse(multiply(X3,multiply(X0,X1))),additive_inverse(multiply(X3,multiply(X0,X2)))))),
inference(forward_demodulation,[],[f86,f15]) ).
fof(f95,plain,
! [X2,X0,X1] : associator(X2,X0,additive_inverse(X1)) = associator(additive_inverse(X2),X0,X1),
inference(forward_demodulation,[],[f87,f84]) ).
fof(f98,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(add(multiply(multiply(X0,X1),X3),multiply(multiply(X0,X2),X3)),add(additive_inverse(multiply(X0,multiply(X1,X3))),additive_inverse(multiply(X0,multiply(X2,X3))))),
inference(forward_demodulation,[],[f91,f13]) ).
fof(f99,plain,
! [X2,X0,X1] : associator(X0,additive_inverse(X1),X2) = add(additive_inverse(multiply(multiply(X0,X1),X2)),multiply(X0,multiply(X1,X2))),
inference(forward_demodulation,[],[f92,f23]) ).
fof(f100,plain,
! [X2,X0,X1] : associator(X2,additive_inverse(X0),X1) = associator(additive_inverse(X2),X0,X1),
inference(forward_demodulation,[],[f93,f84]) ).
fof(f102,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(multiply(X0,X1),X3),add(multiply(multiply(X0,X2),X3),add(additive_inverse(multiply(X0,multiply(X1,X3))),additive_inverse(multiply(X0,multiply(X2,X3)))))),
inference(forward_demodulation,[],[f98,f15]) ).
fof(f103,plain,
! [X2,X0,X1] : associator(X2,X0,additive_inverse(X1)) = associator(X2,additive_inverse(X0),X1),
inference(forward_demodulation,[],[f100,f95]) ).
fof(f105,plain,
! [X2,X0,X1] : associator(X0,X1,additive_inverse(X2)) = add(additive_inverse(multiply(multiply(X0,X1),X2)),multiply(X0,multiply(X1,X2))),
inference(backward_demodulation,[],[f99,f103]) ).
fof(f114,plain,
! [X0,X1] : associator(X0,X1,X1) = add(multiply(X0,multiply(X1,X1)),additive_inverse(multiply(X0,multiply(X1,X1)))),
inference(superposition,[],[f18,f16]) ).
fof(f116,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(multiply(multiply(X0,multiply(X1,X1)),X2),additive_inverse(multiply(multiply(X0,X1),multiply(X1,X2)))),
inference(superposition,[],[f18,f16]) ).
fof(f122,plain,
! [X0,X1] : additive_identity = associator(X0,X1,X1),
inference(forward_demodulation,[],[f114,f10]) ).
fof(f192,plain,
! [X0,X1] : associator(X0,X0,X1) = add(multiply(X0,multiply(X0,X1)),additive_inverse(multiply(X0,multiply(X0,X1)))),
inference(superposition,[],[f18,f17]) ).
fof(f197,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(multiply(multiply(multiply(X0,X0),X1),X2),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2))))),
inference(superposition,[],[f18,f17]) ).
fof(f200,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(multiply(multiply(X0,multiply(X0,X1)),X2),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2))))),
inference(forward_demodulation,[],[f197,f17]) ).
fof(f204,plain,
! [X0,X1] : additive_identity = associator(X0,X0,X1),
inference(forward_demodulation,[],[f192,f10]) ).
fof(f319,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(multiply(add(X0,X3),X1),X2),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2))))),
inference(superposition,[],[f18,f13]) ).
fof(f322,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(multiply(add(X0,X3),X1),X2),add(additive_inverse(multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X3,multiply(X1,X2))))),
inference(forward_demodulation,[],[f319,f36]) ).
fof(f339,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(add(multiply(X0,X1),multiply(X3,X1)),X2),add(additive_inverse(multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X3,multiply(X1,X2))))),
inference(forward_demodulation,[],[f322,f13]) ).
fof(f350,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(add(multiply(multiply(X0,X1),X2),multiply(multiply(X3,X1),X2)),add(additive_inverse(multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X3,multiply(X1,X2))))),
inference(forward_demodulation,[],[f339,f13]) ).
fof(f360,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(multiply(X0,X1),X2),add(multiply(multiply(X3,X1),X2),add(additive_inverse(multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X3,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f350,f15]) ).
fof(f405,plain,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X1,add(X0,X2)),
inference(superposition,[],[f15,f14]) ).
fof(f407,plain,
! [X0,X1] : add(additive_identity,X1) = add(X0,add(additive_inverse(X0),X1)),
inference(superposition,[],[f15,f10]) ).
fof(f412,plain,
! [X0,X1] : add(additive_identity,X1) = add(additive_inverse(X0),add(X0,X1)),
inference(superposition,[],[f15,f8]) ).
fof(f422,plain,
! [X0,X1] : additive_identity = add(X0,add(X1,additive_inverse(add(X0,X1)))),
inference(superposition,[],[f10,f15]) ).
fof(f425,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(forward_demodulation,[],[f412,f1]) ).
fof(f427,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f407,f1]) ).
fof(f428,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(forward_demodulation,[],[f405,f15]) ).
fof(f437,plain,
! [X0,X1] : add(additive_inverse(X1),add(X0,X1)) = X0,
inference(superposition,[],[f425,f14]) ).
fof(f451,plain,
! [X0,X1] : add(add(X1,X0),additive_inverse(X1)) = X0,
inference(superposition,[],[f14,f425]) ).
fof(f454,plain,
! [X0,X1] : add(X1,add(X0,additive_inverse(X1))) = X0,
inference(forward_demodulation,[],[f451,f15]) ).
fof(f621,plain,
! [X2,X0,X1] : add(X0,X1) = add(X2,add(X0,add(X1,additive_inverse(X2)))),
inference(superposition,[],[f454,f15]) ).
fof(f622,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = add(multiply(X0,multiply(X1,X2)),associator(X0,X1,X2)),
inference(superposition,[],[f454,f18]) ).
fof(f651,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(add(multiply(X3,multiply(X0,X1)),associator(X3,X0,X1)),add(multiply(multiply(X3,X0),X2),add(additive_inverse(multiply(X3,multiply(X0,X1))),additive_inverse(multiply(X3,multiply(X0,X2)))))),
inference(backward_demodulation,[],[f94,f622]) ).
fof(f652,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(add(multiply(X0,multiply(X1,X3)),associator(X0,X1,X3)),add(multiply(multiply(X0,X2),X3),add(additive_inverse(multiply(X0,multiply(X1,X3))),additive_inverse(multiply(X0,multiply(X2,X3)))))),
inference(backward_demodulation,[],[f102,f622]) ).
fof(f653,plain,
! [X2,X0,X1] : associator(X0,X1,additive_inverse(X2)) = add(additive_inverse(add(multiply(X0,multiply(X1,X2)),associator(X0,X1,X2))),multiply(X0,multiply(X1,X2))),
inference(backward_demodulation,[],[f105,f622]) ).
fof(f659,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(add(multiply(X0,multiply(X1,X2)),associator(X0,X1,X2)),add(multiply(multiply(X3,X1),X2),add(additive_inverse(multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X3,multiply(X1,X2)))))),
inference(backward_demodulation,[],[f360,f622]) ).
fof(f666,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(add(multiply(X0,multiply(multiply(X1,X1),X2)),associator(X0,multiply(X1,X1),X2)),additive_inverse(multiply(multiply(X0,X1),multiply(X1,X2)))),
inference(backward_demodulation,[],[f116,f622]) ).
fof(f668,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(add(multiply(X0,multiply(multiply(X0,X1),X2)),associator(X0,multiply(X0,X1),X2)),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2))))),
inference(backward_demodulation,[],[f200,f622]) ).
fof(f669,plain,
multiply(cx,multiply(cy,multiply(cx,cz))) != add(multiply(cx,multiply(multiply(cy,cx),cz)),associator(cx,multiply(cy,cx),cz)),
inference(backward_demodulation,[],[f30,f622]) ).
fof(f676,plain,
multiply(cx,multiply(cy,multiply(cx,cz))) != add(multiply(cx,add(multiply(cy,multiply(cx,cz)),associator(cy,cx,cz))),associator(cx,multiply(cy,cx),cz)),
inference(forward_demodulation,[],[f669,f622]) ).
fof(f677,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(multiply(X0,multiply(multiply(X0,X1),X2)),add(associator(X0,multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f668,f15]) ).
fof(f679,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(multiply(X0,multiply(multiply(X1,X1),X2)),add(associator(X0,multiply(X1,X1),X2),additive_inverse(multiply(multiply(X0,X1),multiply(X1,X2))))),
inference(forward_demodulation,[],[f666,f15]) ).
fof(f684,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(X0,multiply(X1,X2)),add(associator(X0,X1,X2),add(multiply(multiply(X3,X1),X2),add(additive_inverse(multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X3,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f659,f15]) ).
fof(f689,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(X0,multiply(X1,X3)),add(associator(X0,X1,X3),add(multiply(multiply(X0,X2),X3),add(additive_inverse(multiply(X0,multiply(X1,X3))),additive_inverse(multiply(X0,multiply(X2,X3))))))),
inference(forward_demodulation,[],[f652,f15]) ).
fof(f690,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(multiply(X3,multiply(X0,X1)),add(associator(X3,X0,X1),add(multiply(multiply(X3,X0),X2),add(additive_inverse(multiply(X3,multiply(X0,X1))),additive_inverse(multiply(X3,multiply(X0,X2))))))),
inference(forward_demodulation,[],[f651,f15]) ).
fof(f701,plain,
multiply(cx,multiply(cy,multiply(cx,cz))) != add(add(multiply(cx,multiply(cy,multiply(cx,cz))),multiply(cx,associator(cy,cx,cz))),associator(cx,multiply(cy,cx),cz)),
inference(forward_demodulation,[],[f676,f12]) ).
fof(f702,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(multiply(X0,add(multiply(X0,multiply(X1,X2)),associator(X0,X1,X2))),add(associator(X0,multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f677,f622]) ).
fof(f704,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(multiply(X0,multiply(multiply(X1,X1),X2)),add(associator(X0,multiply(X1,X1),X2),additive_inverse(add(multiply(X0,multiply(X1,multiply(X1,X2))),associator(X0,X1,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f679,f622]) ).
fof(f707,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(X0,multiply(X1,X2)),add(associator(X0,X1,X2),add(add(multiply(X3,multiply(X1,X2)),associator(X3,X1,X2)),add(additive_inverse(multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X3,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f684,f622]) ).
fof(f712,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(X0,multiply(X1,X3)),add(associator(X0,X1,X3),add(add(multiply(X0,multiply(X2,X3)),associator(X0,X2,X3)),add(additive_inverse(multiply(X0,multiply(X1,X3))),additive_inverse(multiply(X0,multiply(X2,X3))))))),
inference(forward_demodulation,[],[f689,f622]) ).
fof(f713,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(multiply(X3,multiply(X0,X1)),add(associator(X3,X0,X1),add(add(multiply(X3,multiply(X0,X2)),associator(X3,X0,X2)),add(additive_inverse(multiply(X3,multiply(X0,X1))),additive_inverse(multiply(X3,multiply(X0,X2))))))),
inference(forward_demodulation,[],[f690,f622]) ).
fof(f719,plain,
multiply(cx,multiply(cy,multiply(cx,cz))) != add(multiply(cx,multiply(cy,multiply(cx,cz))),add(multiply(cx,associator(cy,cx,cz)),associator(cx,multiply(cy,cx),cz))),
inference(forward_demodulation,[],[f701,f15]) ).
fof(f720,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(add(multiply(X0,multiply(X0,multiply(X1,X2))),multiply(X0,associator(X0,X1,X2))),add(associator(X0,multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f702,f12]) ).
fof(f722,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(multiply(X0,add(multiply(X1,multiply(X1,X2)),associator(X1,X1,X2))),add(associator(X0,multiply(X1,X1),X2),additive_inverse(add(multiply(X0,multiply(X1,multiply(X1,X2))),associator(X0,X1,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f704,f622]) ).
fof(f725,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(X0,multiply(X1,X2)),add(associator(X0,X1,X2),add(multiply(X3,multiply(X1,X2)),add(associator(X3,X1,X2),add(additive_inverse(multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X3,multiply(X1,X2)))))))),
inference(forward_demodulation,[],[f707,f15]) ).
fof(f729,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(X0,multiply(X1,X3)),add(associator(X0,X1,X3),add(multiply(X0,multiply(X2,X3)),add(associator(X0,X2,X3),add(additive_inverse(multiply(X0,multiply(X1,X3))),additive_inverse(multiply(X0,multiply(X2,X3)))))))),
inference(forward_demodulation,[],[f712,f15]) ).
fof(f730,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(multiply(X3,multiply(X0,X1)),add(associator(X3,X0,X1),add(multiply(X3,multiply(X0,X2)),add(associator(X3,X0,X2),add(additive_inverse(multiply(X3,multiply(X0,X1))),additive_inverse(multiply(X3,multiply(X0,X2)))))))),
inference(forward_demodulation,[],[f713,f15]) ).
fof(f735,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(multiply(X0,multiply(X0,multiply(X1,X2))),add(multiply(X0,associator(X0,X1,X2)),add(associator(X0,multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f720,f15]) ).
fof(f737,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(add(multiply(X0,multiply(X1,multiply(X1,X2))),multiply(X0,associator(X1,X1,X2))),add(associator(X0,multiply(X1,X1),X2),additive_inverse(add(multiply(X0,multiply(X1,multiply(X1,X2))),associator(X0,X1,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f722,f12]) ).
fof(f739,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(X0,multiply(X1,X2)),add(associator(X0,X1,X2),add(associator(X3,X1,X2),additive_inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f725,f621]) ).
fof(f741,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(X0,multiply(X1,X3)),add(associator(X0,X1,X3),add(associator(X0,X2,X3),additive_inverse(multiply(X0,multiply(X1,X3)))))),
inference(forward_demodulation,[],[f729,f621]) ).
fof(f742,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(multiply(X3,multiply(X0,X1)),add(associator(X3,X0,X1),add(associator(X3,X0,X2),additive_inverse(multiply(X3,multiply(X0,X1)))))),
inference(forward_demodulation,[],[f730,f621]) ).
fof(f747,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(multiply(X0,associator(X0,X1,X2)),associator(X0,multiply(X0,X1),X2)),
inference(forward_demodulation,[],[f735,f621]) ).
fof(f749,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(multiply(X0,multiply(X1,multiply(X1,X2))),add(multiply(X0,associator(X1,X1,X2)),add(associator(X0,multiply(X1,X1),X2),additive_inverse(add(multiply(X0,multiply(X1,multiply(X1,X2))),associator(X0,X1,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f737,f15]) ).
fof(f751,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(associator(X0,X1,X2),associator(X3,X1,X2)),
inference(forward_demodulation,[],[f739,f621]) ).
fof(f753,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(associator(X0,X1,X3),associator(X0,X2,X3)),
inference(forward_demodulation,[],[f741,f621]) ).
fof(f754,plain,
! [X2,X3,X0,X1] : associator(X3,X0,add(X1,X2)) = add(associator(X3,X0,X1),associator(X3,X0,X2)),
inference(forward_demodulation,[],[f742,f621]) ).
fof(f760,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(multiply(X0,multiply(X1,multiply(X1,X2))),add(multiply(X0,additive_identity),add(associator(X0,multiply(X1,X1),X2),additive_inverse(add(multiply(X0,multiply(X1,multiply(X1,X2))),associator(X0,X1,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f749,f204]) ).
fof(f770,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(multiply(X0,multiply(X1,multiply(X1,X2))),add(additive_identity,add(associator(X0,multiply(X1,X1),X2),additive_inverse(add(multiply(X0,multiply(X1,multiply(X1,X2))),associator(X0,X1,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f760,f6]) ).
fof(f778,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(multiply(X0,multiply(X1,multiply(X1,X2))),add(associator(X0,multiply(X1,X1),X2),additive_inverse(add(multiply(X0,multiply(X1,multiply(X1,X2))),associator(X0,X1,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f770,f1]) ).
fof(f1073,plain,
! [X2,X0,X1] : add(X0,X1) = add(additive_inverse(X2),add(X0,add(X1,X2))),
inference(superposition,[],[f437,f15]) ).
fof(f1077,plain,
! [X0,X1] : additive_inverse(X1) = add(additive_inverse(add(X0,X1)),X0),
inference(superposition,[],[f437,f437]) ).
fof(f1097,plain,
! [X2,X0,X1] : associator(X0,X1,additive_inverse(X2)) = additive_inverse(associator(X0,X1,X2)),
inference(backward_demodulation,[],[f653,f1077]) ).
fof(f1113,plain,
! [X2,X0,X1] : associator(X2,additive_inverse(X0),X1) = additive_inverse(associator(X2,X0,X1)),
inference(backward_demodulation,[],[f103,f1097]) ).
fof(f1114,plain,
! [X2,X0,X1] : associator(additive_inverse(X2),X0,X1) = additive_inverse(associator(X2,X0,X1)),
inference(backward_demodulation,[],[f95,f1097]) ).
fof(f1284,plain,
! [X0,X1] : add(X1,additive_inverse(add(X0,X1))) = add(additive_inverse(X0),additive_identity),
inference(superposition,[],[f425,f422]) ).
fof(f1295,plain,
! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1))),
inference(forward_demodulation,[],[f1284,f2]) ).
fof(f1355,plain,
! [X0,X1] : additive_inverse(add(X0,X1)) = add(additive_inverse(X1),additive_inverse(X0)),
inference(superposition,[],[f425,f1295]) ).
fof(f1391,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(multiply(X0,multiply(X1,multiply(X1,X2))),add(associator(X0,multiply(X1,X1),X2),add(additive_inverse(associator(X0,X1,multiply(X1,X2))),additive_inverse(multiply(X0,multiply(X1,multiply(X1,X2))))))),
inference(backward_demodulation,[],[f778,f1355]) ).
fof(f1418,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(associator(X0,multiply(X1,X1),X2),additive_inverse(associator(X0,X1,multiply(X1,X2)))),
inference(forward_demodulation,[],[f1391,f621]) ).
fof(f1508,plain,
! [X2,X0,X1] : additive_inverse(associator(multiply(X0,X1),X1,X2)) = add(associator(X0,multiply(X1,X1),additive_inverse(X2)),additive_inverse(associator(X0,X1,multiply(X1,additive_inverse(X2))))),
inference(superposition,[],[f1097,f1418]) ).
fof(f1520,plain,
! [X2,X0,X1] : additive_inverse(associator(multiply(X0,X1),X1,X2)) = add(associator(X0,multiply(X1,X1),additive_inverse(X2)),additive_inverse(associator(X0,X1,additive_inverse(multiply(X1,X2))))),
inference(forward_demodulation,[],[f1508,f25]) ).
fof(f1549,plain,
! [X2,X0,X1] : additive_inverse(associator(multiply(X0,X1),X1,X2)) = add(associator(X0,multiply(X1,X1),additive_inverse(X2)),additive_inverse(additive_inverse(associator(X0,X1,multiply(X1,X2))))),
inference(forward_demodulation,[],[f1520,f1097]) ).
fof(f1577,plain,
! [X2,X0,X1] : additive_inverse(associator(multiply(X0,X1),X1,X2)) = add(associator(X0,multiply(X1,X1),additive_inverse(X2)),associator(X0,X1,multiply(X1,X2))),
inference(forward_demodulation,[],[f1549,f11]) ).
fof(f1604,plain,
! [X2,X0,X1] : additive_inverse(associator(multiply(X0,X1),X1,X2)) = add(additive_inverse(associator(X0,multiply(X1,X1),X2)),associator(X0,X1,multiply(X1,X2))),
inference(forward_demodulation,[],[f1577,f1097]) ).
fof(f1827,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,add(X1,X2),X1),associator(X0,add(X1,X2),X2)),
inference(superposition,[],[f122,f754]) ).
fof(f1840,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,add(X1,X2),X1),add(associator(X0,X1,X2),associator(X0,X2,X2))),
inference(forward_demodulation,[],[f1827,f753]) ).
fof(f1866,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,add(X1,X2),X1),add(associator(X0,X1,X2),additive_identity)),
inference(forward_demodulation,[],[f1840,f122]) ).
fof(f1887,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,add(X1,X2),X1),associator(X0,X1,X2)),
inference(forward_demodulation,[],[f1866,f2]) ).
fof(f1903,plain,
! [X2,X0,X1] : additive_identity = add(add(associator(X0,X1,X1),associator(X0,X2,X1)),associator(X0,X1,X2)),
inference(forward_demodulation,[],[f1887,f753]) ).
fof(f1914,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X1,X1),add(associator(X0,X2,X1),associator(X0,X1,X2))),
inference(forward_demodulation,[],[f1903,f15]) ).
fof(f1921,plain,
! [X2,X0,X1] : additive_identity = add(additive_identity,add(associator(X0,X2,X1),associator(X0,X1,X2))),
inference(forward_demodulation,[],[f1914,f122]) ).
fof(f1926,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X2,X1),associator(X0,X1,X2)),
inference(forward_demodulation,[],[f1921,f1]) ).
fof(f1957,plain,
! [X2,X0,X1] : associator(X0,X2,X1) = add(additive_inverse(associator(X0,X1,X2)),additive_identity),
inference(superposition,[],[f437,f1926]) ).
fof(f1960,plain,
! [X2,X0,X1] : associator(X0,X2,X1) = additive_inverse(associator(X0,X1,X2)),
inference(forward_demodulation,[],[f1957,f2]) ).
fof(f2056,plain,
! [X2,X0,X1] : additive_identity = add(associator(add(X0,X1),X0,X2),associator(add(X0,X1),X1,X2)),
inference(superposition,[],[f204,f753]) ).
fof(f2073,plain,
! [X2,X0,X1] : additive_identity = add(associator(add(X0,X1),X0,X2),add(associator(X0,X1,X2),associator(X1,X1,X2))),
inference(forward_demodulation,[],[f2056,f751]) ).
fof(f2104,plain,
! [X2,X0,X1] : additive_identity = add(associator(add(X0,X1),X0,X2),add(associator(X0,X1,X2),additive_identity)),
inference(forward_demodulation,[],[f2073,f204]) ).
fof(f2126,plain,
! [X2,X0,X1] : additive_identity = add(associator(add(X0,X1),X0,X2),associator(X0,X1,X2)),
inference(forward_demodulation,[],[f2104,f2]) ).
fof(f2140,plain,
! [X2,X0,X1] : additive_identity = add(add(associator(X0,X0,X2),associator(X1,X0,X2)),associator(X0,X1,X2)),
inference(forward_demodulation,[],[f2126,f751]) ).
fof(f2151,plain,
! [X2,X0,X1] : additive_identity = add(associator(X0,X0,X2),add(associator(X1,X0,X2),associator(X0,X1,X2))),
inference(forward_demodulation,[],[f2140,f15]) ).
fof(f2160,plain,
! [X2,X0,X1] : additive_identity = add(additive_identity,add(associator(X1,X0,X2),associator(X0,X1,X2))),
inference(forward_demodulation,[],[f2151,f204]) ).
fof(f2168,plain,
! [X2,X0,X1] : additive_identity = add(associator(X1,X0,X2),associator(X0,X1,X2)),
inference(forward_demodulation,[],[f2160,f1]) ).
fof(f2244,plain,
! [X2,X0,X1] : associator(X1,X0,X2) = add(additive_inverse(associator(X0,X1,X2)),additive_identity),
inference(superposition,[],[f437,f2168]) ).
fof(f2249,plain,
! [X2,X0,X1] : associator(X1,X0,X2) = additive_inverse(associator(X0,X1,X2)),
inference(forward_demodulation,[],[f2244,f2]) ).
fof(f3399,plain,
! [X2,X3,X0,X1] : multiply(X3,associator(X0,X1,X2)) = additive_inverse(multiply(X3,associator(X1,X0,X2))),
inference(superposition,[],[f25,f2249]) ).
fof(f3625,plain,
! [X2,X0,X1] : multiply(X0,associator(X0,X1,X2)) = add(additive_inverse(associator(X0,multiply(X0,X1),X2)),associator(multiply(X0,X0),X1,X2)),
inference(superposition,[],[f437,f747]) ).
fof(f4165,plain,
multiply(cx,multiply(cy,multiply(cx,cz))) != add(multiply(cx,associator(cy,cx,cz)),add(multiply(cx,multiply(cy,multiply(cx,cz))),associator(cx,multiply(cy,cx),cz))),
inference(superposition,[],[f719,f428]) ).
fof(f6645,plain,
! [X2,X3,X0,X1] : add(X0,associator(X1,X2,X3)) = add(additive_inverse(associator(X1,X3,X2)),add(X0,additive_identity)),
inference(superposition,[],[f1073,f1926]) ).
fof(f6646,plain,
! [X2,X3,X0,X1] : add(X0,associator(X1,X2,X3)) = add(additive_inverse(associator(X2,X1,X3)),add(X0,additive_identity)),
inference(superposition,[],[f1073,f2168]) ).
fof(f6727,plain,
! [X2,X3,X0,X1] : add(X0,associator(X1,X2,X3)) = add(additive_inverse(associator(X2,X1,X3)),X0),
inference(forward_demodulation,[],[f6646,f2]) ).
fof(f6728,plain,
! [X2,X3,X0,X1] : add(X0,associator(X1,X2,X3)) = add(additive_inverse(associator(X1,X3,X2)),X0),
inference(forward_demodulation,[],[f6645,f2]) ).
fof(f6885,plain,
! [X2,X3,X0,X1] : add(additive_inverse(additive_inverse(associator(X0,X1,X2))),X3) = add(X3,associator(X1,additive_inverse(X0),X2)),
inference(superposition,[],[f6727,f1114]) ).
fof(f6921,plain,
multiply(cx,multiply(cy,multiply(cx,cz))) != add(multiply(cx,associator(cy,cx,cz)),add(additive_inverse(associator(multiply(cy,cx),cx,cz)),multiply(cx,multiply(cy,multiply(cx,cz))))),
inference(superposition,[],[f4165,f6727]) ).
fof(f6999,plain,
! [X2,X3,X0,X1] : add(X3,additive_inverse(associator(X1,X0,X2))) = add(additive_inverse(additive_inverse(associator(X0,X1,X2))),X3),
inference(forward_demodulation,[],[f6885,f1113]) ).
fof(f7066,plain,
! [X2,X3,X0,X1] : add(associator(X0,X1,X2),X3) = add(X3,additive_inverse(associator(X1,X0,X2))),
inference(forward_demodulation,[],[f6999,f11]) ).
fof(f7175,plain,
! [X2,X3,X0,X1] : add(additive_inverse(additive_inverse(associator(X0,X1,X2))),X3) = add(X3,associator(additive_inverse(X0),X2,X1)),
inference(superposition,[],[f6728,f1114]) ).
fof(f7296,plain,
! [X2,X3,X0,X1] : add(X3,additive_inverse(associator(X0,X2,X1))) = add(additive_inverse(additive_inverse(associator(X0,X1,X2))),X3),
inference(forward_demodulation,[],[f7175,f1114]) ).
fof(f7363,plain,
! [X2,X3,X0,X1] : add(associator(X0,X1,X2),X3) = add(X3,additive_inverse(associator(X0,X2,X1))),
inference(forward_demodulation,[],[f7296,f11]) ).
fof(f7813,plain,
! [X2,X3,X0,X1] : add(associator(X0,X1,X2),X3) = add(associator(X2,X0,X1),X3),
inference(superposition,[],[f7066,f7363]) ).
fof(f9975,plain,
! [X2,X3,X0,X1] : add(additive_inverse(associator(X1,X2,X0)),add(associator(X0,X1,X2),X3)) = X3,
inference(superposition,[],[f425,f7813]) ).
fof(f10029,plain,
! [X2,X3,X0,X1] : add(associator(X0,X1,X2),add(additive_inverse(associator(X2,X0,X1)),X3)) = X3,
inference(superposition,[],[f427,f7813]) ).
fof(f22907,plain,
! [X2,X3,X0,X1] : multiply(X3,associator(X2,X0,X1)) = additive_inverse(multiply(X3,additive_inverse(associator(X0,X1,X2)))),
inference(superposition,[],[f3399,f1960]) ).
fof(f23164,plain,
! [X2,X3,X0,X1] : multiply(X3,associator(X2,X0,X1)) = additive_inverse(additive_inverse(multiply(X3,associator(X0,X1,X2)))),
inference(forward_demodulation,[],[f22907,f25]) ).
fof(f23260,plain,
! [X2,X3,X0,X1] : multiply(X3,associator(X0,X1,X2)) = multiply(X3,associator(X2,X0,X1)),
inference(forward_demodulation,[],[f23164,f11]) ).
fof(f24277,plain,
multiply(cx,multiply(cy,multiply(cx,cz))) != add(multiply(cx,associator(cy,cx,cz)),add(add(additive_inverse(associator(cy,multiply(cx,cx),cz)),associator(cy,cx,multiply(cx,cz))),multiply(cx,multiply(cy,multiply(cx,cz))))),
inference(superposition,[],[f6921,f1604]) ).
fof(f24343,plain,
multiply(cx,multiply(cy,multiply(cx,cz))) != add(multiply(cx,associator(cy,cx,cz)),add(additive_inverse(associator(cy,multiply(cx,cx),cz)),add(associator(cy,cx,multiply(cx,cz)),multiply(cx,multiply(cy,multiply(cx,cz)))))),
inference(forward_demodulation,[],[f24277,f15]) ).
fof(f54934,plain,
multiply(cx,multiply(cy,multiply(cx,cz))) != add(multiply(cx,associator(cx,cz,cy)),add(additive_inverse(associator(cy,multiply(cx,cx),cz)),add(associator(cy,cx,multiply(cx,cz)),multiply(cx,multiply(cy,multiply(cx,cz)))))),
inference(superposition,[],[f24343,f23260]) ).
fof(f54947,plain,
multiply(cx,multiply(cy,multiply(cx,cz))) != add(add(additive_inverse(associator(cx,multiply(cx,cz),cy)),associator(multiply(cx,cx),cz,cy)),add(additive_inverse(associator(cy,multiply(cx,cx),cz)),add(associator(cy,cx,multiply(cx,cz)),multiply(cx,multiply(cy,multiply(cx,cz)))))),
inference(forward_demodulation,[],[f54934,f3625]) ).
fof(f54951,plain,
multiply(cx,multiply(cy,multiply(cx,cz))) != add(additive_inverse(associator(cx,multiply(cx,cz),cy)),add(associator(multiply(cx,cx),cz,cy),add(additive_inverse(associator(cy,multiply(cx,cx),cz)),add(associator(cy,cx,multiply(cx,cz)),multiply(cx,multiply(cy,multiply(cx,cz))))))),
inference(forward_demodulation,[],[f54947,f15]) ).
fof(f54955,plain,
multiply(cx,multiply(cy,multiply(cx,cz))) != add(additive_inverse(associator(cx,multiply(cx,cz),cy)),add(associator(cy,cx,multiply(cx,cz)),multiply(cx,multiply(cy,multiply(cx,cz))))),
inference(forward_demodulation,[],[f54951,f10029]) ).
fof(f54959,plain,
$false,
inference(forward_subsumption_resolution,[],[f54955,f9975]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG028-7 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n009.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 23:00:00 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 88.91/13.43 % (2504710)Detected a unit-equality problem, will run specialized UEQ schedule.
% 88.91/13.43 % (2504736)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=4129030132:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 88.91/13.43 % (2504742)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3120440048:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 88.91/13.43 % (2504741)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4092500137:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 88.91/13.43 % (2504737)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1556309455:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 88.91/13.43 % (2504741)Refutation not found, incomplete strategy
% 88.91/13.43 % (2504741)------------------------------
% 88.91/13.43 % (2504741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.91/13.43 % (2504741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.91/13.43 % (2504741)CaDiCaL version: 2.1.3
% 88.91/13.43 % (2504741)Termination reason: Refutation not found, incomplete strategy
% 88.91/13.43 % (2504741)Time elapsed: 0.003 s
% 88.91/13.43 % (2504741)Peak memory usage: 87 MB
% 88.91/13.43 % (2504741)Instructions burned: 1 (million)
% 88.91/13.43 % (2504740)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1132675819:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 88.91/13.43 % (2504739)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=358624628:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 88.91/13.43 % (2504744)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=705741675:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 88.91/13.43 % (2504740)Instruction limit reached!
% 88.91/13.43 % (2504740)------------------------------
% 88.91/13.43 % (2504740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.91/13.43 % (2504740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.91/13.43 % (2504740)CaDiCaL version: 2.1.3
% 88.91/13.43 % (2504740)Termination reason: Instruction limit
% 88.91/13.43 % (2504740)Termination phase: Saturation
% 88.91/13.43 % (2504740)Time elapsed: 0.098 s
% 88.91/13.43 % (2504740)Peak memory usage: 88 MB
% 88.91/13.43 % (2504740)Instructions burned: 136 (million)
% 88.91/13.43 % (2504742)Instruction limit reached!
% 88.91/13.43 % (2504742)------------------------------
% 88.91/13.43 % (2504742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.91/13.43 % (2504742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.91/13.43 % (2504742)CaDiCaL version: 2.1.3
% 88.91/13.43 % (2504742)Termination reason: Instruction limit
% 88.91/13.43 % (2504742)Termination phase: Saturation
% 88.91/13.43 % (2504742)Time elapsed: 0.210 s
% 88.91/13.43 % (2504742)Peak memory usage: 90 MB
% 88.91/13.43 % (2504742)Instructions burned: 257 (million)
% 88.91/13.43 % (2504758)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1722790117:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 88.91/13.43 % (2504741)------------------------------
% 88.91/13.43 % (2504741)------------------------------
% 88.91/13.43 % (2504762)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=484615751:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 88.91/13.43 % (2504765)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2553832274:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 88.91/13.43 % (2504765)Instruction limit reached!
% 88.91/13.43 % (2504765)------------------------------
% 88.91/13.43 % (2504765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 88.91/13.43 % (2504765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 88.91/13.43 % (2504765)CaDiCaL version: 2.1.3
% 88.91/13.43 % (2504765)Termination reason: Instruction limit
% 104.78/16.37 % (2504765)Termination phase: Saturation
% 104.78/16.37 % (2504765)Time elapsed: 0.079 s
% 104.78/16.37 % (2504765)Peak memory usage: 89 MB
% 104.78/16.37 % (2504765)Instructions burned: 218 (million)
% 104.78/16.37 % (2504771)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=616330874:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 104.78/16.37 % (2504771)Instruction limit reached!
% 104.78/16.37 % (2504771)------------------------------
% 104.78/16.37 % (2504771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.78/16.37 % (2504771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.78/16.37 % (2504771)CaDiCaL version: 2.1.3
% 104.78/16.37 % (2504771)Termination reason: Instruction limit
% 104.78/16.37 % (2504771)Termination phase: Saturation
% 104.78/16.37 % (2504771)Time elapsed: 0.162 s
% 104.78/16.37 % (2504771)Peak memory usage: 94 MB
% 104.78/16.37 % (2504771)Instructions burned: 317 (million)
% 104.78/16.37 % (2504744)Instruction limit reached!
% 104.78/16.37 % (2504744)------------------------------
% 104.78/16.37 % (2504744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.78/16.37 % (2504744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.78/16.37 % (2504744)CaDiCaL version: 2.1.3
% 104.78/16.37 % (2504744)Termination reason: Instruction limit
% 104.78/16.37 % (2504744)Termination phase: Saturation
% 104.78/16.37 % (2504744)Time elapsed: 0.902 s
% 104.78/16.37 % (2504744)Peak memory usage: 96 MB
% 104.78/16.37 % (2504744)Instructions burned: 1188 (million)
% 104.78/16.37 % (2504776)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1711481355:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2988 on theBenchmark for (2988ds/12125Mi)
% 104.78/16.37 % (2504777)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=145066722:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2988 on theBenchmark for (2988ds/2836Mi)
% 104.78/16.37 % (2504758)Instruction limit reached!
% 104.78/16.37 % (2504758)------------------------------
% 104.78/16.37 % (2504758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.78/16.37 % (2504758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.78/16.37 % (2504758)CaDiCaL version: 2.1.3
% 104.78/16.37 % (2504758)Termination reason: Instruction limit
% 104.78/16.37 % (2504758)Termination phase: Saturation
% 104.78/16.37 % (2504758)Time elapsed: 1.644 s
% 104.78/16.37 % (2504758)Peak memory usage: 142 MB
% 104.78/16.37 % (2504758)Instructions burned: 2051 (million)
% 104.78/16.37 % (2504809)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=4173049400:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2978 on theBenchmark for (2978ds/14534Mi)
% 104.78/16.37 % (2504777)Instruction limit reached!
% 104.78/16.37 % (2504777)------------------------------
% 104.78/16.37 % (2504777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.78/16.37 % (2504777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.78/16.37 % (2504777)CaDiCaL version: 2.1.3
% 104.78/16.37 % (2504777)Termination reason: Instruction limit
% 104.78/16.37 % (2504777)Termination phase: Saturation
% 104.78/16.37 % (2504777)Time elapsed: 1.894 s
% 104.78/16.37 % (2504777)Peak memory usage: 116 MB
% 104.78/16.37 % (2504777)Instructions burned: 2837 (million)
% 104.78/16.37 % (2504827)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=868857555:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2967 on theBenchmark for (2967ds/11832Mi)
% 104.78/16.37 % (2504762)Instruction limit reached!
% 104.78/16.37 % (2504762)------------------------------
% 104.78/16.37 % (2504762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.78/16.37 % (2504762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.78/16.37 % (2504762)CaDiCaL version: 2.1.3
% 104.78/16.37 % (2504762)Termination reason: Instruction limit
% 104.78/16.37 % (2504762)Termination phase: Saturation
% 104.78/16.37 % (2504762)Time elapsed: 3.336 s
% 104.78/16.37 % (2504762)Peak memory usage: 167 MB
% 104.78/16.37 % (2504762)Instructions burned: 4949 (million)
% 104.78/16.37 % (2504829)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=1614513095:i=2279:fgj=on:bd=all_2960 on theBenchmark for (2960ds/2279Mi)
% 104.78/16.37 % (2504776)Instruction limit reached!
% 104.78/16.37 % (2504776)------------------------------
% 104.78/16.37 % (2504776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.78/16.37 % (2504776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.78/16.37 % (2504776)CaDiCaL version: 2.1.3
% 104.78/16.37 % (2504776)Termination reason: Instruction limit
% 104.78/16.37 % (2504776)Termination phase: Saturation
% 104.78/16.37 % (2504776)Time elapsed: 4.021 s
% 104.78/16.37 % (2504776)Peak memory usage: 243 MB
% 104.78/16.37 % (2504776)Instructions burned: 12127 (million)
% 104.78/16.37 % (2504829)Instruction limit reached!
% 104.78/16.37 % (2504829)------------------------------
% 104.78/16.37 % (2504829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.78/16.37 % (2504829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.78/16.37 % (2504829)CaDiCaL version: 2.1.3
% 104.78/16.37 % (2504829)Termination reason: Instruction limit
% 104.78/16.37 % (2504829)Termination phase: Saturation
% 104.78/16.37 % (2504829)Time elapsed: 1.320 s
% 104.78/16.37 % (2504829)Peak memory usage: 140 MB
% 104.78/16.37 % (2504829)Instructions burned: 2280 (million)
% 104.78/16.37 % (2504831)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=3853308782:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2946 on theBenchmark for (2946ds/6225Mi)
% 104.78/16.37 % (2504832)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=1083548811:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2945 on theBenchmark for (2945ds/21755Mi)
% 104.78/16.37 % (2504831)Instruction limit reached!
% 104.78/16.37 % (2504831)------------------------------
% 104.78/16.37 % (2504831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.78/16.37 % (2504831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.78/16.37 % (2504831)CaDiCaL version: 2.1.3
% 104.78/16.37 % (2504831)Termination reason: Instruction limit
% 104.78/16.37 % (2504831)Termination phase: Saturation
% 104.78/16.37 % (2504831)Time elapsed: 2.023 s
% 104.78/16.37 % (2504831)Peak memory usage: 164 MB
% 104.78/16.37 % (2504831)Instructions burned: 6229 (million)
% 104.78/16.37 % (2504875)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=409708137:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2925 on theBenchmark for (2925ds/16427Mi)
% 104.78/16.37 % (2504827)Instruction limit reached!
% 104.78/16.37 % (2504827)------------------------------
% 104.78/16.37 % (2504827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.78/16.37 % (2504827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.78/16.37 % (2504827)CaDiCaL version: 2.1.3
% 104.78/16.37 % (2504827)Termination reason: Instruction limit
% 104.78/16.37 % (2504827)Termination phase: Saturation
% 104.78/16.37 % (2504827)Time elapsed: 7.297 s
% 104.78/16.37 % (2504827)Peak memory usage: 231 MB
% 104.78/16.37 % (2504827)Instructions burned: 11833 (million)
% 104.78/16.37 % (2504889)lrs+1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:drc=off:fde=none:sp=const_frequency:spb=goal:fd=preordered:random_seed=3524431982:i=9356:fgj=on:bd=preordered:av=off_2892 on theBenchmark for (2892ds/9356Mi)
% 104.78/16.37 % (2504809)Instruction limit reached!
% 104.78/16.37 % (2504809)------------------------------
% 104.78/16.37 % (2504809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.78/16.37 % (2504809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.78/16.37 % (2504809)CaDiCaL version: 2.1.3
% 104.78/16.37 % (2504809)Termination reason: Instruction limit
% 104.78/16.37 % (2504809)Termination phase: Saturation
% 104.78/16.37 % (2504809)Time elapsed: 8.837 s
% 104.78/16.37 % (2504809)Peak memory usage: 259 MB
% 104.78/16.37 % (2504809)Instructions burned: 14535 (million)
% 104.78/16.37 % (2504891)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=605618016:i=2070:kws=inv_precedence:slsql=off:bd=all_2888 on theBenchmark for (2888ds/2070Mi)
% 104.78/16.37 % (2504891)Instruction limit reached!
% 104.78/16.37 % (2504891)------------------------------
% 104.78/16.37 % (2504891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.78/16.37 % (2504891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.78/16.37 % (2504891)CaDiCaL version: 2.1.3
% 104.78/16.37 % (2504891)Termination reason: Instruction limit
% 104.78/16.37 % (2504891)Termination phase: Saturation
% 104.78/16.37 % (2504891)Time elapsed: 1.206 s
% 104.78/16.37 % (2504891)Peak memory usage: 121 MB
% 104.78/16.37 % (2504891)Instructions burned: 2070 (million)
% 104.78/16.37 % (2504954)lrs+1002_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=8000:tgt=ground:npcc=on:fde=unused:sp=const_min:urr=ec_only:s2agt=32:random_seed=1892810959:st=3:i=6461:fgj=on:bd=preordered:av=off:ss=axioms_2874 on theBenchmark for (2874ds/6461Mi)
% 104.78/16.37 % (2504875)Instruction limit reached!
% 104.78/16.37 % (2504875)------------------------------
% 104.78/16.37 % (2504875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.78/16.37 % (2504875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.78/16.37 % (2504875)CaDiCaL version: 2.1.3
% 104.78/16.37 % (2504875)Termination reason: Instruction limit
% 104.78/16.37 % (2504875)Termination phase: Saturation
% 104.78/16.37 % (2504875)Time elapsed: 5.524 s
% 104.78/16.37 % (2504875)Peak memory usage: 248 MB
% 104.78/16.37 % (2504875)Instructions burned: 16429 (million)
% 104.78/16.37 % (2504956)lrs+10_6_to=lpo:lpd=off:sil=8000:tgt=ground:drc=off:sp=arity:spb=goal:fd=preordered:random_seed=3461821781:i=2310:bd=all:ss=included_2869 on theBenchmark for (2869ds/2310Mi)
% 104.78/16.37 % (2504956)Instruction limit reached!
% 104.78/16.37 % (2504956)------------------------------
% 104.78/16.37 % (2504956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.78/16.37 % (2504956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.78/16.37 % (2504956)CaDiCaL version: 2.1.3
% 104.78/16.37 % (2504956)Termination reason: Instruction limit
% 104.78/16.37 % (2504956)Termination phase: Saturation
% 104.78/16.37 % (2504956)Time elapsed: 0.579 s
% 104.78/16.37 % (2504956)Peak memory usage: 94 MB
% 104.78/16.37 % (2504956)Instructions burned: 2311 (million)
% 104.78/16.37 % (2504958)dis+11_1_sil=8000:fd=off:nwc=20:random_seed=2983029804:st=3:s2pl=on:i=2616:av=off:fsr=off:ss=axioms:sgt=8_2862 on theBenchmark for (2862ds/2616Mi)
% 104.78/16.37 % (2504958)Instruction limit reached!
% 104.78/16.37 % (2504958)------------------------------
% 104.78/16.37 % (2504958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.78/16.37 % (2504958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.78/16.37 % (2504958)CaDiCaL version: 2.1.3
% 104.78/16.37 % (2504958)Termination reason: Instruction limit
% 104.78/16.37 % (2504958)Termination phase: Saturation
% 104.78/16.37 % (2504958)Time elapsed: 0.787 s
% 104.78/16.37 % (2504958)Peak memory usage: 112 MB
% 104.78/16.37 % (2504958)Instructions burned: 2617 (million)
% 104.78/16.37 % (2504960)lrs+0_1_ncem=casc2026/models/loop3.pt:sil=32000:tgt=ground:npcc=on:sp=occurrence:urr=ec_only:fd=preordered:random_seed=296043963:i=30521:gtgl=2:kws=inv_arity:bd=all:gtg=exists_sym_2853 on theBenchmark for (2853ds/30521Mi)
% 104.78/16.37 % (2504889)First to succeed.
% 104.78/16.37 % (2504889)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2504710"
% 104.78/16.37 % (2504889)Refutation found. Thanks to Tanya!
% 104.78/16.37 % SZS status Unsatisfiable for theBenchmark
% 104.78/16.37 % SZS output start Proof for theBenchmark
% See solution above
% 109.99/16.57 % (2504889)------------------------------
% 109.99/16.57 % (2504889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.99/16.57 % (2504889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.99/16.57 % (2504889)CaDiCaL version: 2.1.3
% 109.99/16.57 % (2504889)Termination reason: Refutation
% 109.99/16.57 % (2504889)Time elapsed: 4.284 s
% 109.99/16.57 % (2504889)Peak memory usage: 184 MB
% 109.99/16.57 % (2504889)Instructions burned: 7290 (million)
% 109.99/16.57 % (2504889)------------------------------
% 109.99/16.57 % (2504889)------------------------------
% 109.99/16.57 % (2504710)Success in time 15.438 s
% 109.99/16.57 % Vampire exiting
%------------------------------------------------------------------------------