%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG028-8 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 106.80s 16.03s
% Output : Refutation 108.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 19
% Syntax : Number of formulae : 212 ( 212 unt; 4 def)
% Number of atoms : 212 ( 211 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 519 ( 519 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_identity) ).
fof(f2,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_identity) ).
fof(f3,axiom,
! [X0] : multiply(additive_identity,X0) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_multiplicative_zero) ).
fof(f4,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : multiply(X0,additive_identity) = additive_identity,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',distribute2) ).
fof(f14,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',associativity_for_addition) ).
fof(f16,axiom,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_alternative) ).
fof(f17,axiom,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',associator) ).
fof(f20,negated_conjecture,
associator(x,multiply(y,x),z) != multiply(x,associator(x,y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_left_moufang) ).
fof(f21,definition,
sF0 = multiply(y,x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f22,plain,
multiply(y,x) = sF0,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF1 = associator(x,sF0,z),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f24,plain,
associator(x,sF0,z) = sF1,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF2 = associator(x,y,z),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f26,plain,
associator(x,y,z) = sF2,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF3 = multiply(x,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f28,plain,
multiply(x,sF2) = sF3,
inference(reorient_equations,[],[f27]) ).
fof(f29,plain,
sF1 != sF3,
inference(definition_folding,[],[f20,f28,f26,f24,f22]) ).
fof(f34,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(f35,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(add(multiply(multiply(X0,X1),X2),multiply(multiply(X0,X1),X3)),additive_inverse(multiply(X0,multiply(X1,add(X2,X3))))),
inference(superposition,[],[f18,f12]) ).
fof(f36,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(multiply(multiply(X0,X1),X2),add(multiply(multiply(X0,X1),X3),additive_inverse(multiply(X0,multiply(X1,add(X2,X3)))))),
inference(forward_demodulation,[],[f35,f15]) ).
fof(f37,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,[],[f34,f13]) ).
fof(f39,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(multiply(multiply(X0,X1),X2),add(multiply(multiply(X0,X1),X3),additive_inverse(multiply(X0,add(multiply(X1,X2),multiply(X1,X3)))))),
inference(forward_demodulation,[],[f36,f12]) ).
fof(f40,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,[],[f37,f12]) ).
fof(f42,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(multiply(multiply(X0,X1),X2),add(multiply(multiply(X0,X1),X3),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X1,X3)))))),
inference(forward_demodulation,[],[f39,f12]) ).
fof(f43,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(add(multiply(multiply(X0,X1),X3),multiply(multiply(X0,X2),X3)),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3))))),
inference(forward_demodulation,[],[f40,f13]) ).
fof(f45,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(multiply(multiply(X0,X1),X3),add(multiply(multiply(X0,X2),X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3)))))),
inference(forward_demodulation,[],[f43,f15]) ).
fof(f49,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(f53,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(f54,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,[],[f53,f17]) ).
fof(f57,plain,
! [X0,X1] : additive_identity = associator(X0,X0,X1),
inference(forward_demodulation,[],[f49,f10]) ).
fof(f84,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(f86,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(f90,plain,
! [X0,X1] : additive_identity = associator(X0,X1,X1),
inference(forward_demodulation,[],[f84,f10]) ).
fof(f152,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(f153,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(add(multiply(X0,X1),multiply(X3,X1)),X2),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2))))),
inference(forward_demodulation,[],[f152,f13]) ).
fof(f161,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(add(multiply(multiply(X0,X1),X2),multiply(multiply(X3,X1),X2)),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2))))),
inference(forward_demodulation,[],[f153,f13]) ).
fof(f169,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(multiply(multiply(X0,X1),X2),add(multiply(multiply(X3,X1),X2),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f161,f15]) ).
fof(f205,plain,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X1,add(X0,X2)),
inference(superposition,[],[f15,f14]) ).
fof(f207,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X1,add(X2,X0)),
inference(superposition,[],[f15,f14]) ).
fof(f212,plain,
! [X0,X1] : add(multiply(additive_inverse(X0),X1),multiply(X0,X1)) = multiply(additive_identity,X1),
inference(superposition,[],[f13,f8]) ).
fof(f213,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = add(additive_identity,X1),
inference(superposition,[],[f15,f8]) ).
fof(f214,plain,
! [X0,X1] : multiply(X0,additive_identity) = add(multiply(X0,additive_inverse(X1)),multiply(X0,X1)),
inference(superposition,[],[f12,f8]) ).
fof(f215,plain,
! [X0,X1] : multiply(X0,additive_identity) = add(multiply(X0,X1),multiply(X0,additive_inverse(X1))),
inference(forward_demodulation,[],[f214,f14]) ).
fof(f216,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(forward_demodulation,[],[f213,f1]) ).
fof(f217,plain,
! [X0,X1] : additive_identity = add(multiply(additive_inverse(X0),X1),multiply(X0,X1)),
inference(forward_demodulation,[],[f212,f4]) ).
fof(f218,plain,
! [X0,X1] : additive_identity = add(multiply(X0,X1),multiply(X0,additive_inverse(X1))),
inference(forward_demodulation,[],[f215,f6]) ).
fof(f219,plain,
! [X0,X1] : additive_identity = add(multiply(X0,X1),multiply(additive_inverse(X0),X1)),
inference(forward_demodulation,[],[f217,f14]) ).
fof(f229,plain,
! [X0,X1] : add(add(X1,X0),additive_inverse(X1)) = X0,
inference(superposition,[],[f14,f216]) ).
fof(f236,plain,
! [X0,X1] : add(X1,add(X0,additive_inverse(X1))) = X0,
inference(forward_demodulation,[],[f229,f15]) ).
fof(f249,plain,
! [X0,X1] : additive_identity = add(X0,add(X1,additive_inverse(add(X0,X1)))),
inference(superposition,[],[f15,f10]) ).
fof(f265,plain,
additive_identity = additive_inverse(additive_identity),
inference(superposition,[],[f10,f1]) ).
fof(f303,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = add(multiply(X0,multiply(X1,X2)),associator(X0,X1,X2)),
inference(superposition,[],[f236,f18]) ).
fof(f323,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = add(associator(X0,X1,X2),multiply(X0,multiply(X1,X2))),
inference(forward_demodulation,[],[f303,f14]) ).
fof(f341,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(add(associator(X0,X1,X2),multiply(X0,multiply(X1,X2))),add(multiply(multiply(X0,X1),X3),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X1,X3)))))),
inference(backward_demodulation,[],[f42,f323]) ).
fof(f342,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(add(associator(X0,X1,X3),multiply(X0,multiply(X1,X3))),add(multiply(multiply(X0,X2),X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3)))))),
inference(backward_demodulation,[],[f45,f323]) ).
fof(f347,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(add(associator(X0,X1,X2),multiply(X0,multiply(X1,X2))),add(multiply(multiply(X3,X1),X2),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2)))))),
inference(backward_demodulation,[],[f169,f323]) ).
fof(f350,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(add(associator(X0,multiply(X1,X1),X2),multiply(X0,multiply(multiply(X1,X1),X2))),additive_inverse(multiply(multiply(X0,X1),multiply(X1,X2)))),
inference(backward_demodulation,[],[f86,f323]) ).
fof(f352,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(add(associator(X0,multiply(X0,X1),X2),multiply(X0,multiply(multiply(X0,X1),X2))),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2))))),
inference(backward_demodulation,[],[f54,f323]) ).
fof(f366,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),add(multiply(X0,multiply(multiply(X0,X1),X2)),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f352,f15]) ).
fof(f368,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,multiply(multiply(X1,X1),X2)),additive_inverse(multiply(multiply(X0,X1),multiply(X1,X2))))),
inference(forward_demodulation,[],[f350,f15]) ).
fof(f370,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(multiply(multiply(X3,X1),X2),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f347,f15]) ).
fof(f375,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(associator(X0,X1,X3),add(multiply(X0,multiply(X1,X3)),add(multiply(multiply(X0,X2),X3),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3))))))),
inference(forward_demodulation,[],[f342,f15]) ).
fof(f376,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(multiply(multiply(X0,X1),X3),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X1,X3))))))),
inference(forward_demodulation,[],[f341,f15]) ).
fof(f393,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),add(multiply(X0,add(associator(X0,X1,X2),multiply(X0,multiply(X1,X2)))),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f366,f323]) ).
fof(f395,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,multiply(multiply(X1,X1),X2)),additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f368,f323]) ).
fof(f397,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(add(associator(X3,X1,X2),multiply(X3,multiply(X1,X2))),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f370,f323]) ).
fof(f401,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(associator(X0,X1,X3),add(multiply(X0,multiply(X1,X3)),add(add(associator(X0,X2,X3),multiply(X0,multiply(X2,X3))),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3))))))),
inference(forward_demodulation,[],[f375,f323]) ).
fof(f402,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(add(associator(X0,X1,X3),multiply(X0,multiply(X1,X3))),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X1,X3))))))),
inference(forward_demodulation,[],[f376,f323]) ).
fof(f416,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),add(add(multiply(X0,associator(X0,X1,X2)),multiply(X0,multiply(X0,multiply(X1,X2)))),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f393,f12]) ).
fof(f418,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,add(associator(X1,X1,X2),multiply(X1,multiply(X1,X2)))),additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f395,f323]) ).
fof(f419,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(associator(X3,X1,X2),add(multiply(X3,multiply(X1,X2)),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X3,multiply(X1,X2)))))))),
inference(forward_demodulation,[],[f397,f15]) ).
fof(f421,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(associator(X0,X1,X3),add(multiply(X0,multiply(X1,X3)),add(associator(X0,X2,X3),add(multiply(X0,multiply(X2,X3)),additive_inverse(add(multiply(X0,multiply(X1,X3)),multiply(X0,multiply(X2,X3)))))))),
inference(forward_demodulation,[],[f401,f15]) ).
fof(f422,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(associator(X0,X1,X3),add(multiply(X0,multiply(X1,X3)),additive_inverse(add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X1,X3)))))))),
inference(forward_demodulation,[],[f402,f15]) ).
fof(f429,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),add(multiply(X0,associator(X0,X1,X2)),add(multiply(X0,multiply(X0,multiply(X1,X2))),additive_inverse(multiply(X0,multiply(X0,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f416,f15]) ).
fof(f431,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(associator(X0,multiply(X1,X1),X2),add(add(multiply(X0,associator(X1,X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2)))),additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f418,f12]) ).
fof(f437,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),add(multiply(X0,associator(X0,X1,X2)),additive_identity)),
inference(forward_demodulation,[],[f429,f10]) ).
fof(f439,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,associator(X1,X1,X2)),add(multiply(X0,multiply(X1,multiply(X1,X2))),additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2)))))))),
inference(forward_demodulation,[],[f431,f15]) ).
fof(f445,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(additive_identity,add(associator(X0,multiply(X0,X1),X2),multiply(X0,associator(X0,X1,X2)))),
inference(forward_demodulation,[],[f437,f207]) ).
fof(f447,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,additive_identity),add(multiply(X0,multiply(X1,multiply(X1,X2))),additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2)))))))),
inference(forward_demodulation,[],[f439,f57]) ).
fof(f452,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X1,X2) = add(associator(X0,multiply(X0,X1),X2),multiply(X0,associator(X0,X1,X2))),
inference(forward_demodulation,[],[f445,f1]) ).
fof(f454,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(associator(X0,multiply(X1,X1),X2),add(additive_identity,add(multiply(X0,multiply(X1,multiply(X1,X2))),additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2)))))))),
inference(forward_demodulation,[],[f447,f6]) ).
fof(f459,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(associator(X0,multiply(X1,X1),X2),add(multiply(X0,multiply(X1,multiply(X1,X2))),additive_inverse(add(associator(X0,X1,multiply(X1,X2)),multiply(X0,multiply(X1,multiply(X1,X2))))))),
inference(forward_demodulation,[],[f454,f1]) ).
fof(f481,plain,
! [X0,X1] : associator(multiply(X0,X0),X0,X1) = add(associator(X0,multiply(X0,X0),X1),multiply(X0,additive_identity)),
inference(superposition,[],[f452,f57]) ).
fof(f482,plain,
! [X0,X1] : associator(multiply(X0,X0),X1,X1) = add(associator(X0,multiply(X0,X1),X1),multiply(X0,additive_identity)),
inference(superposition,[],[f452,f90]) ).
fof(f484,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,[],[f216,f452]) ).
fof(f490,plain,
! [X2,X0,X1] : multiply(X0,associator(X0,X1,X2)) = add(associator(multiply(X0,X0),X1,X2),additive_inverse(associator(X0,multiply(X0,X1),X2))),
inference(forward_demodulation,[],[f484,f14]) ).
fof(f492,plain,
! [X0,X1] : associator(multiply(X0,X0),X1,X1) = add(associator(X0,multiply(X0,X1),X1),additive_identity),
inference(forward_demodulation,[],[f482,f6]) ).
fof(f493,plain,
! [X0,X1] : associator(multiply(X0,X0),X0,X1) = add(associator(X0,multiply(X0,X0),X1),additive_identity),
inference(forward_demodulation,[],[f481,f6]) ).
fof(f500,plain,
! [X0,X1] : associator(X0,multiply(X0,X1),X1) = associator(multiply(X0,X0),X1,X1),
inference(forward_demodulation,[],[f492,f2]) ).
fof(f501,plain,
! [X0,X1] : associator(X0,multiply(X0,X0),X1) = associator(multiply(X0,X0),X0,X1),
inference(forward_demodulation,[],[f493,f2]) ).
fof(f506,plain,
! [X0,X1] : additive_identity = associator(X0,multiply(X0,X1),X1),
inference(forward_demodulation,[],[f500,f90]) ).
fof(f588,plain,
! [X2,X0,X1] : add(X2,add(X0,X1)) = add(X0,add(X2,X1)),
inference(superposition,[],[f207,f14]) ).
fof(f767,plain,
! [X2,X0,X1] : add(X0,additive_identity) = add(multiply(X1,X2),add(multiply(X1,additive_inverse(X2)),X0)),
inference(superposition,[],[f207,f218]) ).
fof(f772,plain,
! [X2,X0,X1] : add(multiply(X1,X2),add(multiply(X1,additive_inverse(X2)),X0)) = X0,
inference(forward_demodulation,[],[f767,f2]) ).
fof(f951,plain,
! [X0,X1] : add(multiply(X0,X1),additive_identity) = multiply(additive_inverse(X0),additive_inverse(X1)),
inference(superposition,[],[f772,f219]) ).
fof(f958,plain,
! [X0,X1] : multiply(additive_inverse(X0),X1) = add(additive_inverse(multiply(X0,X1)),additive_identity),
inference(superposition,[],[f216,f219]) ).
fof(f959,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
inference(forward_demodulation,[],[f958,f2]) ).
fof(f966,plain,
! [X0,X1] : multiply(X0,X1) = multiply(additive_inverse(X0),additive_inverse(X1)),
inference(forward_demodulation,[],[f951,f2]) ).
fof(f1092,plain,
! [X0,X1] : add(X1,additive_inverse(add(X0,X1))) = add(additive_inverse(X0),additive_identity),
inference(superposition,[],[f216,f249]) ).
fof(f1109,plain,
! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1))),
inference(forward_demodulation,[],[f1092,f2]) ).
fof(f1141,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(associator(X3,X1,X2),additive_inverse(multiply(X0,multiply(X1,X2)))))),
inference(backward_demodulation,[],[f419,f1109]) ).
fof(f1142,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(associator(X0,X1,X3),add(multiply(X0,multiply(X1,X3)),add(associator(X0,X2,X3),additive_inverse(multiply(X0,multiply(X1,X3)))))),
inference(backward_demodulation,[],[f421,f1109]) ).
fof(f1143,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(associator(X0,X1,X2),add(multiply(X0,multiply(X1,X2)),add(associator(X0,X1,X3),additive_inverse(multiply(X0,multiply(X1,X2)))))),
inference(backward_demodulation,[],[f422,f1109]) ).
fof(f1144,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(backward_demodulation,[],[f459,f1109]) ).
fof(f1156,plain,
! [X2,X3,X0,X1] : associator(X0,X1,add(X2,X3)) = add(associator(X0,X1,X2),associator(X0,X1,X3)),
inference(forward_demodulation,[],[f1143,f236]) ).
fof(f1157,plain,
! [X2,X3,X0,X1] : associator(X0,add(X1,X2),X3) = add(associator(X0,X1,X3),associator(X0,X2,X3)),
inference(forward_demodulation,[],[f1142,f236]) ).
fof(f1158,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = add(associator(X0,X1,X2),associator(X3,X1,X2)),
inference(forward_demodulation,[],[f1141,f236]) ).
fof(f1167,plain,
! [X2,X0,X1] : associator(X0,add(X1,X2),X1) = add(additive_identity,associator(X0,X2,X1)),
inference(superposition,[],[f1157,f90]) ).
fof(f1168,plain,
! [X2,X0,X1] : add(additive_identity,associator(X0,X2,X1)) = associator(X0,add(multiply(X0,X1),X2),X1),
inference(superposition,[],[f1157,f506]) ).
fof(f1170,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),add(X0,X2),X1) = add(associator(X0,multiply(X0,X0),X1),associator(multiply(X0,X0),X2,X1)),
inference(superposition,[],[f1157,f501]) ).
fof(f1174,plain,
! [X2,X0,X1] : add(associator(X0,X1,X2),additive_identity) = associator(X0,add(X1,X2),X2),
inference(superposition,[],[f1157,f90]) ).
fof(f1187,plain,
! [X2,X3,X0,X1,X4] : add(associator(X0,add(X1,X2),X3),X4) = add(associator(X0,X2,X3),add(associator(X0,X1,X3),X4)),
inference(superposition,[],[f205,f1157]) ).
fof(f1190,plain,
! [X2,X3,X0,X1] : associator(X0,X2,X3) = add(additive_inverse(associator(X0,X1,X3)),associator(X0,add(X1,X2),X3)),
inference(superposition,[],[f216,f1157]) ).
fof(f1199,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X0,add(X1,X2),X2),
inference(forward_demodulation,[],[f1174,f2]) ).
fof(f1202,plain,
! [X2,X0,X1] : associator(X0,X2,X1) = associator(X0,add(multiply(X0,X1),X2),X1),
inference(forward_demodulation,[],[f1168,f1]) ).
fof(f1203,plain,
! [X2,X0,X1] : associator(X0,X2,X1) = associator(X0,add(X1,X2),X1),
inference(forward_demodulation,[],[f1167,f1]) ).
fof(f1211,plain,
! [X2,X0,X1] : add(additive_identity,associator(X0,X1,X2)) = associator(X0,X1,add(X1,X2)),
inference(superposition,[],[f1156,f90]) ).
fof(f1218,plain,
! [X2,X0,X1] : add(associator(X0,X1,X2),additive_identity) = associator(X0,X1,add(X2,X1)),
inference(superposition,[],[f1156,f90]) ).
fof(f1242,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X0,X1,add(X2,X1)),
inference(forward_demodulation,[],[f1218,f2]) ).
fof(f1247,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X0,X1,add(X1,X2)),
inference(forward_demodulation,[],[f1211,f1]) ).
fof(f1255,plain,
! [X2,X0,X1] : associator(add(X0,X1),X0,X2) = add(additive_identity,associator(X1,X0,X2)),
inference(superposition,[],[f1158,f57]) ).
fof(f1262,plain,
! [X2,X0,X1] : add(associator(X0,X1,X2),additive_identity) = associator(add(X0,X1),X1,X2),
inference(superposition,[],[f1158,f57]) ).
fof(f1280,plain,
! [X2,X3,X0,X1,X4] : add(associator(add(X0,X1),X2,X3),X4) = add(associator(X1,X2,X3),add(associator(X0,X2,X3),X4)),
inference(superposition,[],[f205,f1158]) ).
fof(f1290,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(add(X0,X1),X1,X2),
inference(forward_demodulation,[],[f1262,f2]) ).
fof(f1294,plain,
! [X2,X0,X1] : associator(X1,X0,X2) = associator(add(X0,X1),X0,X2),
inference(forward_demodulation,[],[f1255,f1]) ).
fof(f1313,plain,
! [X0,X1] : associator(multiply(X0,additive_identity),additive_identity,X1) = add(associator(X0,multiply(additive_identity,additive_identity),X1),additive_inverse(associator(X0,additive_identity,additive_identity))),
inference(superposition,[],[f1144,f4]) ).
fof(f1335,plain,
! [X0,X1] : associator(multiply(X0,additive_identity),additive_identity,X1) = add(associator(X0,multiply(additive_identity,additive_identity),X1),additive_inverse(additive_identity)),
inference(forward_demodulation,[],[f1313,f90]) ).
fof(f1350,plain,
! [X0,X1] : associator(multiply(X0,additive_identity),additive_identity,X1) = add(associator(X0,multiply(additive_identity,additive_identity),X1),additive_identity),
inference(forward_demodulation,[],[f1335,f265]) ).
fof(f1362,plain,
! [X0,X1] : associator(multiply(X0,additive_identity),additive_identity,X1) = associator(X0,multiply(additive_identity,additive_identity),X1),
inference(forward_demodulation,[],[f1350,f2]) ).
fof(f1374,plain,
! [X0,X1] : associator(X0,additive_identity,X1) = associator(multiply(X0,additive_identity),additive_identity,X1),
inference(forward_demodulation,[],[f1362,f4]) ).
fof(f1384,plain,
! [X0,X1] : associator(X0,additive_identity,X1) = associator(additive_identity,additive_identity,X1),
inference(forward_demodulation,[],[f1374,f6]) ).
fof(f1392,plain,
! [X0,X1] : additive_identity = associator(X0,additive_identity,X1),
inference(forward_demodulation,[],[f1384,f57]) ).
fof(f1478,plain,
! [X2,X3,X0,X1] : add(associator(X0,X1,X2),associator(X3,X1,X2)) = associator(add(add(X0,X1),X3),X1,X2),
inference(superposition,[],[f1158,f1290]) ).
fof(f1483,plain,
! [X2,X3,X0,X1] : add(associator(X0,X1,X2),associator(X3,X1,X2)) = associator(add(X0,add(X1,X3)),X1,X2),
inference(forward_demodulation,[],[f1478,f15]) ).
fof(f1498,plain,
! [X2,X3,X0,X1] : associator(add(X0,X3),X1,X2) = associator(add(X0,add(X1,X3)),X1,X2),
inference(forward_demodulation,[],[f1483,f1158]) ).
fof(f1872,plain,
! [X2,X0,X1] : associator(X1,add(X0,additive_inverse(X2)),X2) = associator(X1,add(X0,additive_inverse(X2)),X0),
inference(superposition,[],[f1242,f236]) ).
fof(f1875,plain,
! [X0,X1] : associator(X0,additive_inverse(X1),X1) = associator(X0,additive_inverse(X1),additive_identity),
inference(superposition,[],[f1242,f10]) ).
fof(f1876,plain,
! [X0,X1] : associator(X1,X0,additive_identity) = associator(X1,X0,X0),
inference(superposition,[],[f1242,f1]) ).
fof(f1936,plain,
! [X0,X1] : additive_identity = associator(X1,X0,additive_identity),
inference(forward_demodulation,[],[f1876,f90]) ).
fof(f1937,plain,
! [X2,X0,X1] : associator(X1,add(X0,additive_inverse(X2)),X2) = associator(X1,additive_inverse(X2),X0),
inference(forward_demodulation,[],[f1872,f1203]) ).
fof(f1948,plain,
! [X0,X1] : additive_identity = associator(X0,additive_inverse(X1),X1),
inference(backward_demodulation,[],[f1875,f1936]) ).
fof(f2001,plain,
! [X2,X0,X1] : add(associator(X0,X1,X2),additive_identity) = associator(X0,add(X1,additive_inverse(X2)),X2),
inference(superposition,[],[f1157,f1948]) ).
fof(f2011,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X0,add(X1,additive_inverse(X2)),X2),
inference(forward_demodulation,[],[f2001,f2]) ).
fof(f2166,plain,
! [X0,X1] : additive_identity = associator(add(X0,X1),X0,X1),
inference(superposition,[],[f57,f1199]) ).
fof(f2176,plain,
! [X2,X0,X1] : associator(X0,add(X1,X2),X2) = associator(add(X0,add(X1,X2)),X1,X2),
inference(superposition,[],[f1290,f1199]) ).
fof(f2185,plain,
! [X2,X0,X1] : associator(X0,add(X1,X2),X2) = associator(add(X0,X2),X1,X2),
inference(forward_demodulation,[],[f2176,f1498]) ).
fof(f2192,plain,
! [X0,X1] : additive_identity = associator(X1,X0,X1),
inference(forward_demodulation,[],[f2166,f1294]) ).
fof(f2211,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(add(X0,X2),X1,X2),
inference(forward_demodulation,[],[f2185,f1199]) ).
fof(f2253,plain,
! [X2,X0,X1] : add(associator(X0,X1,X2),additive_identity) = associator(X0,X1,add(X2,X0)),
inference(superposition,[],[f1156,f2192]) ).
fof(f2276,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X0,X1,add(X2,X0)),
inference(forward_demodulation,[],[f2253,f2]) ).
fof(f2435,plain,
! [X0,X1] : additive_identity = associator(X0,multiply(X0,add(X1,X0)),X1),
inference(superposition,[],[f506,f2276]) ).
fof(f2468,plain,
! [X0,X1] : additive_identity = associator(X0,add(multiply(X0,X1),multiply(X0,X0)),X1),
inference(forward_demodulation,[],[f2435,f12]) ).
fof(f2500,plain,
! [X0,X1] : additive_identity = associator(X0,multiply(X0,X0),X1),
inference(forward_demodulation,[],[f2468,f1202]) ).
fof(f2512,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),add(X0,X2),X1) = add(additive_identity,associator(multiply(X0,X0),X2,X1)),
inference(backward_demodulation,[],[f1170,f2500]) ).
fof(f2534,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),add(X0,X2),X1) = associator(multiply(X0,X0),X2,X1),
inference(forward_demodulation,[],[f2512,f1]) ).
fof(f4904,plain,
multiply(additive_inverse(x),sF2) = additive_inverse(sF3),
inference(superposition,[],[f959,f28]) ).
fof(f5290,plain,
! [X0,X1] : multiply(X1,additive_inverse(X0)) = multiply(additive_inverse(X1),X0),
inference(superposition,[],[f966,f11]) ).
fof(f7276,plain,
! [X2,X3,X0,X1] : associator(add(X3,X0),add(X1,additive_inverse(X2)),X2) = add(associator(X3,add(X1,additive_inverse(X2)),X2),associator(X0,X1,X2)),
inference(superposition,[],[f1158,f2011]) ).
fof(f7313,plain,
! [X2,X3,X0,X1] : associator(add(X3,X0),add(X1,additive_inverse(X2)),X2) = add(associator(X3,additive_inverse(X2),X2),add(associator(X3,X1,X2),associator(X0,X1,X2))),
inference(forward_demodulation,[],[f7276,f1187]) ).
fof(f7360,plain,
! [X2,X3,X0,X1] : associator(add(X3,X0),add(X1,additive_inverse(X2)),X2) = add(associator(X3,additive_inverse(X2),X2),associator(add(X3,X0),X1,X2)),
inference(forward_demodulation,[],[f7313,f1158]) ).
fof(f7390,plain,
! [X2,X3,X0,X1] : add(additive_identity,associator(add(X3,X0),X1,X2)) = associator(add(X3,X0),add(X1,additive_inverse(X2)),X2),
inference(forward_demodulation,[],[f7360,f1948]) ).
fof(f7413,plain,
! [X2,X3,X0,X1] : add(additive_identity,associator(add(X3,X0),X1,X2)) = associator(add(X3,X0),additive_inverse(X2),X1),
inference(forward_demodulation,[],[f7390,f1937]) ).
fof(f7431,plain,
! [X2,X3,X0,X1] : associator(add(X3,X0),X1,X2) = associator(add(X3,X0),additive_inverse(X2),X1),
inference(forward_demodulation,[],[f7413,f1]) ).
fof(f10088,plain,
! [X2,X0,X1] : associator(add(X0,X1),X1,X2) = associator(X0,additive_inverse(X2),X1),
inference(superposition,[],[f2211,f7431]) ).
fof(f14710,plain,
! [X2,X0,X1] : associator(X0,additive_inverse(X1),X2) = add(additive_inverse(associator(X0,X1,X2)),associator(X0,additive_identity,X2)),
inference(superposition,[],[f1190,f10]) ).
fof(f14732,plain,
! [X2,X0,X1] : associator(add(X0,X1),X1,X2) = add(additive_inverse(associator(add(X0,X1),X0,X2)),additive_identity),
inference(superposition,[],[f1190,f57]) ).
fof(f14733,plain,
! [X2,X0,X1] : associator(X0,X1,add(X2,X1)) = add(additive_inverse(associator(X0,X2,add(X2,X1))),additive_identity),
inference(superposition,[],[f1190,f90]) ).
fof(f14877,plain,
! [X2,X0,X1] : associator(X0,X1,add(X2,X1)) = additive_inverse(associator(X0,X2,add(X2,X1))),
inference(forward_demodulation,[],[f14733,f2]) ).
fof(f14878,plain,
! [X2,X0,X1] : associator(add(X0,X1),X1,X2) = additive_inverse(associator(add(X0,X1),X0,X2)),
inference(forward_demodulation,[],[f14732,f2]) ).
fof(f14892,plain,
! [X2,X0,X1] : associator(X0,additive_inverse(X1),X2) = add(associator(X0,additive_identity,X2),additive_inverse(associator(X0,X1,X2))),
inference(forward_demodulation,[],[f14710,f14]) ).
fof(f15006,plain,
! [X2,X0,X1] : associator(X0,X1,add(X2,X1)) = additive_inverse(associator(X0,X2,X1)),
inference(forward_demodulation,[],[f14877,f1247]) ).
fof(f15007,plain,
! [X2,X0,X1] : associator(add(X0,X1),X1,X2) = additive_inverse(associator(X1,X0,X2)),
inference(forward_demodulation,[],[f14878,f1294]) ).
fof(f15014,plain,
! [X2,X0,X1] : associator(X0,additive_inverse(X1),X2) = add(additive_identity,additive_inverse(associator(X0,X1,X2))),
inference(forward_demodulation,[],[f14892,f1392]) ).
fof(f15108,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = additive_inverse(associator(X0,X2,X1)),
inference(forward_demodulation,[],[f15006,f1242]) ).
fof(f15109,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = additive_inverse(associator(X1,X0,X2)),
inference(forward_demodulation,[],[f15007,f1290]) ).
fof(f15111,plain,
! [X2,X0,X1] : associator(X0,additive_inverse(X1),X2) = additive_inverse(associator(X0,X1,X2)),
inference(forward_demodulation,[],[f15014,f1]) ).
fof(f15203,plain,
! [X2,X0,X1] : associator(multiply(X0,X1),X1,X2) = add(associator(X0,multiply(X1,X1),X2),associator(X0,multiply(X1,X2),X1)),
inference(backward_demodulation,[],[f1144,f15108]) ).
fof(f15238,plain,
! [X2,X0,X1] : multiply(X0,associator(X0,X1,X2)) = add(associator(multiply(X0,X0),X1,X2),associator(X0,X2,multiply(X0,X1))),
inference(backward_demodulation,[],[f490,f15108]) ).
fof(f15775,plain,
additive_inverse(sF2) = associator(x,additive_inverse(y),z),
inference(superposition,[],[f15111,f26]) ).
fof(f15840,plain,
additive_inverse(sF2) = associator(add(x,z),z,y),
inference(forward_demodulation,[],[f15775,f10088]) ).
fof(f15922,plain,
additive_inverse(sF2) = associator(x,z,y),
inference(forward_demodulation,[],[f15840,f1290]) ).
fof(f16042,plain,
! [X2,X0,X1] : additive_inverse(associator(multiply(X0,X0),X1,X2)) = associator(add(X0,X1),multiply(X0,X0),X2),
inference(superposition,[],[f15109,f2534]) ).
fof(f16131,plain,
! [X2,X0,X1] : associator(multiply(X0,X0),X2,X1) = associator(add(X0,X1),multiply(X0,X0),X2),
inference(forward_demodulation,[],[f16042,f15108]) ).
fof(f16321,plain,
! [X2,X0,X1] : associator(X0,X1,X2) = associator(X2,X0,X1),
inference(superposition,[],[f15109,f15108]) ).
fof(f16468,plain,
! [X0] : add(associator(y,multiply(x,x),X0),associator(y,multiply(x,X0),x)) = associator(sF0,x,X0),
inference(superposition,[],[f15203,f22]) ).
fof(f16798,plain,
! [X0] : add(associator(y,multiply(x,x),X0),associator(y,multiply(x,X0),x)) = associator(x,X0,sF0),
inference(forward_demodulation,[],[f16468,f16321]) ).
fof(f16926,plain,
! [X0] : associator(x,X0,sF0) = add(associator(y,multiply(x,x),X0),associator(x,y,multiply(x,X0))),
inference(forward_demodulation,[],[f16798,f16321]) ).
fof(f18989,plain,
! [X0] : multiply(X0,associator(x,z,y)) = multiply(additive_inverse(X0),sF2),
inference(superposition,[],[f5290,f15922]) ).
fof(f18996,plain,
additive_inverse(sF3) = multiply(x,associator(x,z,y)),
inference(backward_demodulation,[],[f4904,f18989]) ).
fof(f19022,plain,
additive_inverse(sF3) = add(associator(multiply(x,x),z,y),associator(x,y,multiply(x,z))),
inference(forward_demodulation,[],[f18996,f15238]) ).
fof(f19032,plain,
additive_inverse(sF3) = add(associator(add(x,y),multiply(x,x),z),associator(x,y,multiply(x,z))),
inference(forward_demodulation,[],[f19022,f16131]) ).
fof(f19035,plain,
additive_inverse(sF3) = add(associator(y,multiply(x,x),z),add(associator(x,multiply(x,x),z),associator(x,y,multiply(x,z)))),
inference(forward_demodulation,[],[f19032,f1280]) ).
fof(f19037,plain,
additive_inverse(sF3) = add(associator(x,multiply(x,x),z),add(associator(y,multiply(x,x),z),associator(x,y,multiply(x,z)))),
inference(forward_demodulation,[],[f19035,f588]) ).
fof(f19038,plain,
additive_inverse(sF3) = add(associator(x,multiply(x,x),z),associator(x,z,sF0)),
inference(forward_demodulation,[],[f19037,f16926]) ).
fof(f19039,plain,
additive_inverse(sF3) = add(associator(x,z,sF0),associator(x,multiply(x,x),z)),
inference(forward_demodulation,[],[f19038,f14]) ).
fof(f19040,plain,
additive_inverse(sF3) = add(associator(x,z,sF0),additive_identity),
inference(forward_demodulation,[],[f19039,f2500]) ).
fof(f19041,plain,
additive_inverse(sF3) = associator(x,z,sF0),
inference(forward_demodulation,[],[f19040,f2]) ).
fof(f23373,plain,
sF3 = additive_inverse(associator(x,z,sF0)),
inference(superposition,[],[f11,f19041]) ).
fof(f23438,plain,
associator(x,sF0,z) = sF3,
inference(forward_demodulation,[],[f23373,f15108]) ).
fof(f23455,plain,
sF1 = sF3,
inference(forward_demodulation,[],[f23438,f24]) ).
fof(f23466,plain,
$false,
inference(forward_subsumption_resolution,[],[f23455,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG028-8 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n006.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 23:00:26 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 84.49/12.74 % (3428991)Detected a unit-equality problem, will run specialized UEQ schedule.
% 84.49/12.74 % (3428997)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=2373485465:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 84.49/12.74 % (3428998)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=564617706:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 84.49/12.74 % (3429000)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3756809423:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 84.49/12.74 % (3428996)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=2917396056:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 84.49/12.74 % (3428999)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3546344016:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 84.49/12.74 % (3429001)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3346008290:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 84.49/12.74 % (3429002)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3229510025:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 84.49/12.74 % (3428999)Instruction limit reached!
% 84.49/12.74 % (3428999)------------------------------
% 84.49/12.74 % (3428999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.49/12.74 % (3428999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.49/12.74 % (3428999)CaDiCaL version: 2.1.3
% 84.49/12.74 % (3428999)Termination reason: Instruction limit
% 84.49/12.74 % (3428999)Termination phase: Saturation
% 84.49/12.74 % (3428999)Time elapsed: 0.065 s
% 84.49/12.74 % (3428999)Peak memory usage: 88 MB
% 84.49/12.74 % (3428999)Instructions burned: 136 (million)
% 84.49/12.74 % (3429000)Instruction limit reached!
% 84.49/12.74 % (3429000)------------------------------
% 84.49/12.74 % (3429000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.49/12.74 % (3429000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.49/12.74 % (3429000)CaDiCaL version: 2.1.3
% 84.49/12.74 % (3429000)Termination reason: Instruction limit
% 84.49/12.74 % (3429000)Termination phase: Saturation
% 84.49/12.74 % (3429000)Time elapsed: 0.100 s
% 84.49/12.74 % (3429000)Peak memory usage: 89 MB
% 84.49/12.74 % (3429000)Instructions burned: 182 (million)
% 84.49/12.74 % (3429001)Instruction limit reached!
% 84.49/12.74 % (3429001)------------------------------
% 84.49/12.74 % (3429001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.49/12.74 % (3429001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.49/12.74 % (3429001)CaDiCaL version: 2.1.3
% 84.49/12.74 % (3429001)Termination reason: Instruction limit
% 84.49/12.74 % (3429001)Termination phase: Saturation
% 84.49/12.74 % (3429001)Time elapsed: 0.155 s
% 84.49/12.74 % (3429001)Peak memory usage: 90 MB
% 84.49/12.74 % (3429001)Instructions burned: 258 (million)
% 84.49/12.74 % (3429010)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1905024745:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 84.49/12.74 % (3429011)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2142986834:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 84.49/12.74 % (3429012)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=733723828:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 84.49/12.74 % (3429012)Instruction limit reached!
% 84.49/12.74 % (3429012)------------------------------
% 84.49/12.74 % (3429012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.49/12.74 % (3429012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.49/12.74 % (3429012)CaDiCaL version: 2.1.3
% 84.49/12.74 % (3429012)Termination reason: Instruction limit
% 84.49/12.74 % (3429012)Termination phase: Saturation
% 84.49/12.74 % (3429012)Time elapsed: 0.106 s
% 106.80/16.03 % (3429012)Peak memory usage: 89 MB
% 106.80/16.03 % (3429012)Instructions burned: 215 (million)
% 106.80/16.03 % (3429016)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=3828320647:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 106.80/16.03 % (3429002)Instruction limit reached!
% 106.80/16.03 % (3429002)------------------------------
% 106.80/16.03 % (3429002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.80/16.03 % (3429002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.80/16.03 % (3429002)CaDiCaL version: 2.1.3
% 106.80/16.03 % (3429002)Termination reason: Instruction limit
% 106.80/16.03 % (3429002)Termination phase: Saturation
% 106.80/16.03 % (3429002)Time elapsed: 0.608 s
% 106.80/16.03 % (3429002)Peak memory usage: 96 MB
% 106.80/16.03 % (3429002)Instructions burned: 1187 (million)
% 106.80/16.03 % (3429016)Instruction limit reached!
% 106.80/16.03 % (3429016)------------------------------
% 106.80/16.03 % (3429016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.80/16.03 % (3429016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.80/16.03 % (3429016)CaDiCaL version: 2.1.3
% 106.80/16.03 % (3429016)Termination reason: Instruction limit
% 106.80/16.03 % (3429016)Termination phase: Saturation
% 106.80/16.03 % (3429016)Time elapsed: 0.196 s
% 106.80/16.03 % (3429016)Peak memory usage: 93 MB
% 106.80/16.03 % (3429016)Instructions burned: 318 (million)
% 106.80/16.03 % (3429018)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=776504453:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 106.80/16.03 % (3429019)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1864680962:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 106.80/16.03 % (3429010)Instruction limit reached!
% 106.80/16.03 % (3429010)------------------------------
% 106.80/16.03 % (3429010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.80/16.03 % (3429010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.80/16.03 % (3429010)CaDiCaL version: 2.1.3
% 106.80/16.03 % (3429010)Termination reason: Instruction limit
% 106.80/16.03 % (3429010)Termination phase: Saturation
% 106.80/16.03 % (3429010)Time elapsed: 1.288 s
% 106.80/16.03 % (3429010)Peak memory usage: 141 MB
% 106.80/16.03 % (3429010)Instructions burned: 2052 (million)
% 106.80/16.03 % (3429022)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=4006667488:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2983 on theBenchmark for (2983ds/14534Mi)
% 106.80/16.03 % (3429019)Instruction limit reached!
% 106.80/16.03 % (3429019)------------------------------
% 106.80/16.03 % (3429019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.80/16.03 % (3429019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.80/16.03 % (3429019)CaDiCaL version: 2.1.3
% 106.80/16.03 % (3429019)Termination reason: Instruction limit
% 106.80/16.03 % (3429019)Termination phase: Saturation
% 106.80/16.03 % (3429019)Time elapsed: 1.731 s
% 106.80/16.03 % (3429019)Peak memory usage: 119 MB
% 106.80/16.03 % (3429019)Instructions burned: 2837 (million)
% 106.80/16.03 % (3429024)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=3352453924:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2972 on theBenchmark for (2972ds/11832Mi)
% 106.80/16.03 % (3429011)Instruction limit reached!
% 106.80/16.03 % (3429011)------------------------------
% 106.80/16.03 % (3429011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.80/16.03 % (3429011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.80/16.03 % (3429011)CaDiCaL version: 2.1.3
% 106.80/16.03 % (3429011)Termination reason: Instruction limit
% 106.80/16.03 % (3429011)Termination phase: Saturation
% 106.80/16.03 % (3429011)Time elapsed: 2.916 s
% 106.80/16.03 % (3429011)Peak memory usage: 167 MB
% 106.80/16.03 % (3429011)Instructions burned: 4949 (million)
% 106.80/16.03 % (3429027)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=3067597386:i=2279:fgj=on:bd=all_2966 on theBenchmark for (2966ds/2279Mi)
% 106.80/16.03 % (3429027)Instruction limit reached!
% 106.80/16.03 % (3429027)------------------------------
% 106.80/16.03 % (3429027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.80/16.03 % (3429027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.80/16.03 % (3429027)CaDiCaL version: 2.1.3
% 106.80/16.03 % (3429027)Termination reason: Instruction limit
% 106.80/16.03 % (3429027)Termination phase: Saturation
% 106.80/16.03 % (3429027)Time elapsed: 1.392 s
% 106.80/16.03 % (3429027)Peak memory usage: 139 MB
% 106.80/16.03 % (3429027)Instructions burned: 2279 (million)
% 106.80/16.03 % (3429029)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=2626135919:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2951 on theBenchmark for (2951ds/6225Mi)
% 106.80/16.03 % (3429018)Instruction limit reached!
% 106.80/16.03 % (3429018)------------------------------
% 106.80/16.03 % (3429018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.80/16.03 % (3429018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.80/16.03 % (3429018)CaDiCaL version: 2.1.3
% 106.80/16.03 % (3429018)Termination reason: Instruction limit
% 106.80/16.03 % (3429018)Termination phase: Saturation
% 106.80/16.03 % (3429018)Time elapsed: 7.090 s
% 106.80/16.03 % (3429018)Peak memory usage: 242 MB
% 106.80/16.03 % (3429018)Instructions burned: 12125 (million)
% 106.80/16.03 % (3429031)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=3958065176:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2920 on theBenchmark for (2920ds/21755Mi)
% 106.80/16.03 % (3429029)Instruction limit reached!
% 106.80/16.03 % (3429029)------------------------------
% 106.80/16.03 % (3429029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.80/16.03 % (3429029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.80/16.03 % (3429029)CaDiCaL version: 2.1.3
% 106.80/16.03 % (3429029)Termination reason: Instruction limit
% 106.80/16.03 % (3429029)Termination phase: Saturation
% 106.80/16.03 % (3429029)Time elapsed: 3.672 s
% 106.80/16.03 % (3429029)Peak memory usage: 162 MB
% 106.80/16.03 % (3429029)Instructions burned: 6226 (million)
% 106.80/16.03 % (3429033)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=2185919720:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2913 on theBenchmark for (2913ds/16427Mi)
% 106.80/16.03 % (3429024)Instruction limit reached!
% 106.80/16.03 % (3429024)------------------------------
% 106.80/16.03 % (3429024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.80/16.03 % (3429024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.80/16.03 % (3429024)CaDiCaL version: 2.1.3
% 106.80/16.03 % (3429024)Termination reason: Instruction limit
% 106.80/16.03 % (3429024)Termination phase: Saturation
% 106.80/16.03 % (3429024)Time elapsed: 7.253 s
% 106.80/16.03 % (3429024)Peak memory usage: 226 MB
% 106.80/16.03 % (3429024)Instructions burned: 11833 (million)
% 106.80/16.03 % (3429035)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=1534328333:i=9356:fgj=on:bd=preordered:av=off_2898 on theBenchmark for (2898ds/9356Mi)
% 106.80/16.03 % (3429022)Instruction limit reached!
% 106.80/16.03 % (3429022)------------------------------
% 106.80/16.03 % (3429022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.80/16.03 % (3429022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.80/16.03 % (3429022)CaDiCaL version: 2.1.3
% 106.80/16.03 % (3429022)Termination reason: Instruction limit
% 106.80/16.03 % (3429022)Termination phase: Saturation
% 106.80/16.03 % (3429022)Time elapsed: 8.733 s
% 106.80/16.03 % (3429022)Peak memory usage: 262 MB
% 106.80/16.03 % (3429022)Instructions burned: 14535 (million)
% 106.80/16.03 % (3429037)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=2922233354:i=2070:kws=inv_precedence:slsql=off:bd=all_2894 on theBenchmark for (2894ds/2070Mi)
% 106.80/16.03 % (3429037)Instruction limit reached!
% 106.80/16.03 % (3429037)------------------------------
% 106.80/16.03 % (3429037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.80/16.03 % (3429037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.80/16.03 % (3429037)CaDiCaL version: 2.1.3
% 106.80/16.03 % (3429037)Termination reason: Instruction limit
% 106.80/16.03 % (3429037)Termination phase: Saturation
% 106.80/16.03 % (3429037)Time elapsed: 1.242 s
% 106.80/16.03 % (3429037)Peak memory usage: 124 MB
% 106.80/16.03 % (3429037)Instructions burned: 2071 (million)
% 106.80/16.03 % (3429039)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=3477506265:st=3:i=6461:fgj=on:bd=preordered:av=off:ss=axioms_2881 on theBenchmark for (2881ds/6461Mi)
% 106.80/16.03 % (3429035)Instruction limit reached!
% 106.80/16.03 % (3429035)------------------------------
% 106.80/16.03 % (3429035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.80/16.03 % (3429035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.80/16.03 % (3429035)CaDiCaL version: 2.1.3
% 106.80/16.03 % (3429035)Termination reason: Instruction limit
% 106.80/16.03 % (3429035)Termination phase: Saturation
% 106.80/16.03 % (3429035)Time elapsed: 4.416 s
% 106.80/16.03 % (3429035)Peak memory usage: 171 MB
% 106.80/16.03 % (3429035)Instructions burned: 9357 (million)
% 106.80/16.03 % (3429041)lrs+10_6_to=lpo:lpd=off:sil=8000:tgt=ground:drc=off:sp=arity:spb=goal:fd=preordered:random_seed=2334070688:i=2310:bd=all:ss=included_2853 on theBenchmark for (2853ds/2310Mi)
% 106.80/16.03 % (3429039)First to succeed.
% 106.80/16.03 % (3429039)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3428991"
% 106.80/16.03 % (3429039)Refutation found. Thanks to Tanya!
% 106.80/16.03 % SZS status Unsatisfiable for theBenchmark
% 106.80/16.03 % SZS output start Proof for theBenchmark
% See solution above
% 108.06/16.22 % (3429039)------------------------------
% 108.06/16.22 % (3429039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 108.06/16.22 % (3429039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 108.06/16.22 % (3429039)CaDiCaL version: 2.1.3
% 108.06/16.22 % (3429039)Termination reason: Refutation
% 108.06/16.22 % (3429039)Time elapsed: 2.837 s
% 108.06/16.22 % (3429039)Peak memory usage: 156 MB
% 108.06/16.22 % (3429039)Instructions burned: 4720 (million)
% 108.06/16.22 % (3429039)------------------------------
% 108.06/16.22 % (3429039)------------------------------
% 108.06/16.22 % (3428991)Success in time 15.173 s
% 108.06/16.22 % Vampire exiting
%------------------------------------------------------------------------------