%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG009-5 : 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 : n005.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 12:35:06 PM UTC 2026
% Result : Unsatisfiable 9.76s 5.83s
% Output : Refutation 33.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 11
% Syntax : Number of formulae : 210 ( 210 unt; 2 def)
% Number of atoms : 210 ( 209 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 220 ( 220 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f2,axiom,
! [X0] : add(X0,additive_inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_inverse) ).
fof(f3,plain,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
inference(reorient_equations,[],[f2]) ).
fof(f4,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(f5,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(f6,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_addition) ).
fof(f7,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutative_addition) ).
fof(f8,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_multiplication) ).
fof(f9,axiom,
! [X0] : multiply(X0,multiply(X0,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_cubed_is_x) ).
fof(f10,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity) ).
fof(f11,definition,
sF0 = multiply(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f12,plain,
multiply(a,b) = sF0,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF1 = multiply(b,a),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
multiply(b,a) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,plain,
sF0 != sF1,
inference(definition_folding,[],[f10,f14,f12]) ).
fof(f19,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f20,plain,
additive_identity = additive_inverse(additive_identity),
inference(superposition,[],[f19,f3]) ).
fof(f27,plain,
! [X0,X1] : add(additive_identity,X1) = add(X0,add(additive_inverse(X0),X1)),
inference(superposition,[],[f6,f3]) ).
fof(f33,plain,
! [X0,X1] : additive_identity = add(X0,add(X1,additive_inverse(add(X0,X1)))),
inference(superposition,[],[f6,f3]) ).
fof(f39,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f27,f19]) ).
fof(f43,plain,
! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = X1,
inference(superposition,[],[f39,f7]) ).
fof(f46,plain,
! [X0] : add(X0,additive_identity) = additive_inverse(additive_inverse(X0)),
inference(superposition,[],[f39,f3]) ).
fof(f51,plain,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
inference(forward_demodulation,[],[f46,f1]) ).
fof(f82,plain,
! [X0,X1] : add(X0,additive_identity) = add(X1,additive_inverse(add(additive_inverse(X0),X1))),
inference(superposition,[],[f39,f33]) ).
fof(f83,plain,
! [X0,X1] : add(X1,additive_inverse(add(additive_inverse(X0),X1))) = X0,
inference(forward_demodulation,[],[f82,f1]) ).
fof(f99,plain,
! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1))),
inference(superposition,[],[f83,f51]) ).
fof(f125,plain,
! [X0,X1] : additive_inverse(X1) = add(X0,additive_inverse(add(X0,X1))),
inference(superposition,[],[f99,f7]) ).
fof(f137,plain,
! [X0,X1] : add(X1,additive_inverse(X0)) = additive_inverse(add(X0,additive_inverse(X1))),
inference(superposition,[],[f39,f99]) ).
fof(f341,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(multiply(X0,X0),X1)),
inference(superposition,[],[f8,f9]) ).
fof(f343,plain,
! [X0] : multiply(a,multiply(b,X0)) = multiply(sF0,X0),
inference(superposition,[],[f8,f12]) ).
fof(f344,plain,
! [X0] : multiply(b,multiply(a,X0)) = multiply(sF1,X0),
inference(superposition,[],[f8,f14]) ).
fof(f346,plain,
! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,X1),multiply(X0,multiply(X1,multiply(X0,X1)))),
inference(superposition,[],[f9,f8]) ).
fof(f347,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1))))),
inference(forward_demodulation,[],[f346,f8]) ).
fof(f350,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(X0,multiply(X0,X1))),
inference(forward_demodulation,[],[f341,f8]) ).
fof(f353,plain,
sF0 = multiply(sF0,multiply(a,multiply(b,sF0))),
inference(superposition,[],[f9,f343]) ).
fof(f356,plain,
sF0 = multiply(a,multiply(b,multiply(a,multiply(b,sF0)))),
inference(forward_demodulation,[],[f353,f343]) ).
fof(f359,plain,
sF0 = multiply(a,multiply(sF1,multiply(b,sF0))),
inference(forward_demodulation,[],[f356,f344]) ).
fof(f361,plain,
multiply(b,sF0) = multiply(sF1,b),
inference(superposition,[],[f344,f12]) ).
fof(f362,plain,
multiply(b,a) = multiply(sF1,multiply(a,a)),
inference(superposition,[],[f344,f9]) ).
fof(f365,plain,
sF1 = multiply(sF1,multiply(a,a)),
inference(forward_demodulation,[],[f362,f14]) ).
fof(f366,plain,
sF0 = multiply(a,multiply(sF1,multiply(sF1,b))),
inference(backward_demodulation,[],[f359,f361]) ).
fof(f383,plain,
sF0 = multiply(a,multiply(a,sF0)),
inference(superposition,[],[f350,f366]) ).
fof(f384,plain,
sF1 = multiply(b,multiply(b,sF1)),
inference(superposition,[],[f350,f14]) ).
fof(f385,plain,
! [X0] : multiply(sF1,X0) = multiply(b,multiply(b,multiply(sF1,X0))),
inference(superposition,[],[f350,f344]) ).
fof(f418,plain,
! [X0,X1] : multiply(X0,add(multiply(X0,X0),X1)) = add(X0,multiply(X0,X1)),
inference(superposition,[],[f4,f9]) ).
fof(f421,plain,
! [X0] : multiply(a,add(b,X0)) = add(sF0,multiply(a,X0)),
inference(superposition,[],[f4,f12]) ).
fof(f423,plain,
! [X0] : add(sF0,multiply(a,X0)) = multiply(a,add(multiply(a,sF0),X0)),
inference(superposition,[],[f4,f383]) ).
fof(f424,plain,
! [X0] : multiply(b,add(a,X0)) = add(sF1,multiply(b,X0)),
inference(superposition,[],[f4,f14]) ).
fof(f426,plain,
! [X0] : add(sF1,multiply(b,X0)) = multiply(b,add(multiply(b,sF1),X0)),
inference(superposition,[],[f4,f384]) ).
fof(f432,plain,
! [X2,X0,X1] : multiply(X0,add(X2,multiply(X0,multiply(X0,X1)))) = add(multiply(X0,X2),multiply(X0,X1)),
inference(superposition,[],[f4,f350]) ).
fof(f444,plain,
! [X2,X0,X1] : additive_inverse(multiply(X1,X0)) = add(multiply(X1,X2),additive_inverse(multiply(X1,add(X2,X0)))),
inference(superposition,[],[f125,f4]) ).
fof(f446,plain,
! [X2,X3,X0,X1] : add(multiply(X1,X2),add(multiply(X1,X0),X3)) = add(multiply(X1,add(X2,X0)),X3),
inference(superposition,[],[f6,f4]) ).
fof(f457,plain,
! [X2,X0,X1] : multiply(X0,add(X2,multiply(X0,multiply(X0,X1)))) = multiply(X0,add(X2,X1)),
inference(forward_demodulation,[],[f432,f4]) ).
fof(f462,plain,
! [X0] : multiply(b,add(a,X0)) = multiply(b,add(multiply(b,sF1),X0)),
inference(backward_demodulation,[],[f426,f424]) ).
fof(f464,plain,
! [X0] : multiply(a,add(b,X0)) = multiply(a,add(multiply(a,sF0),X0)),
inference(backward_demodulation,[],[f423,f421]) ).
fof(f942,plain,
! [X2,X3,X0,X1] : multiply(add(multiply(X1,X2),X3),X0) = add(multiply(X1,multiply(X2,X0)),multiply(X3,X0)),
inference(superposition,[],[f5,f8]) ).
fof(f953,plain,
! [X0] : multiply(add(b,X0),a) = add(sF1,multiply(X0,a)),
inference(superposition,[],[f5,f14]) ).
fof(f963,plain,
! [X2,X3,X0,X1] : multiply(add(X3,multiply(X1,X2)),X0) = add(multiply(X3,X0),multiply(X1,multiply(X2,X0))),
inference(superposition,[],[f5,f8]) ).
fof(f985,plain,
! [X0,X1] : multiply(X1,add(X0,X0)) = multiply(add(X1,X1),X0),
inference(superposition,[],[f4,f5]) ).
fof(f986,plain,
! [X2,X3,X0,X1] : add(multiply(X1,X0),add(multiply(X2,X0),X3)) = add(multiply(add(X1,X2),X0),X3),
inference(superposition,[],[f6,f5]) ).
fof(f993,plain,
! [X2,X0,X1] : additive_inverse(multiply(X2,X0)) = add(multiply(X1,X0),additive_inverse(multiply(add(X1,X2),X0))),
inference(superposition,[],[f125,f5]) ).
fof(f1073,plain,
! [X0] : multiply(additive_identity,add(X0,X0)) = multiply(additive_identity,X0),
inference(superposition,[],[f985,f1]) ).
fof(f1154,plain,
! [X0,X1] : multiply(additive_identity,add(add(X0,X0),X1)) = add(multiply(additive_identity,X0),multiply(additive_identity,X1)),
inference(superposition,[],[f4,f1073]) ).
fof(f1158,plain,
! [X0,X1] : multiply(additive_identity,add(add(X0,X0),X1)) = multiply(additive_identity,add(X0,X1)),
inference(forward_demodulation,[],[f1154,f4]) ).
fof(f1165,plain,
! [X0,X1] : multiply(additive_identity,add(X0,X1)) = multiply(additive_identity,add(X0,add(X0,X1))),
inference(forward_demodulation,[],[f1158,f6]) ).
fof(f1199,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = add(X0,multiply(X0,additive_identity)),
inference(superposition,[],[f418,f1]) ).
fof(f1206,plain,
! [X0] : multiply(X0,additive_identity) = add(X0,multiply(X0,additive_inverse(multiply(X0,X0)))),
inference(superposition,[],[f418,f3]) ).
fof(f1238,plain,
! [X0] : add(X0,multiply(X0,additive_identity)) = X0,
inference(forward_demodulation,[],[f1199,f9]) ).
fof(f1286,plain,
! [X0] : add(X0,additive_inverse(X0)) = multiply(additive_inverse(X0),additive_identity),
inference(superposition,[],[f39,f1238]) ).
fof(f1287,plain,
! [X0] : additive_identity = multiply(additive_inverse(X0),additive_identity),
inference(forward_demodulation,[],[f1286,f3]) ).
fof(f1322,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(superposition,[],[f1287,f51]) ).
fof(f1339,plain,
! [X0] : additive_identity = add(X0,multiply(X0,additive_inverse(multiply(X0,X0)))),
inference(backward_demodulation,[],[f1206,f1322]) ).
fof(f1453,plain,
! [X0] : additive_inverse(X0) = add(multiply(X0,additive_inverse(multiply(X0,X0))),additive_inverse(additive_identity)),
inference(superposition,[],[f99,f1339]) ).
fof(f1466,plain,
! [X0] : additive_inverse(X0) = add(additive_inverse(additive_identity),multiply(X0,additive_inverse(multiply(X0,X0)))),
inference(forward_demodulation,[],[f1453,f7]) ).
fof(f1479,plain,
! [X0] : additive_inverse(X0) = add(additive_identity,multiply(X0,additive_inverse(multiply(X0,X0)))),
inference(forward_demodulation,[],[f1466,f20]) ).
fof(f1487,plain,
! [X0] : additive_inverse(X0) = multiply(X0,additive_inverse(multiply(X0,X0))),
inference(forward_demodulation,[],[f1479,f19]) ).
fof(f1508,plain,
! [X0] : additive_inverse(X0) = multiply(X0,multiply(X0,additive_inverse(X0))),
inference(superposition,[],[f350,f1487]) ).
fof(f2100,plain,
multiply(b,additive_identity) = multiply(b,add(a,additive_inverse(multiply(b,sF1)))),
inference(superposition,[],[f462,f3]) ).
fof(f2119,plain,
additive_identity = multiply(b,add(a,additive_inverse(multiply(b,sF1)))),
inference(forward_demodulation,[],[f2100,f1322]) ).
fof(f2134,plain,
! [X0] : multiply(additive_identity,X0) = multiply(b,multiply(add(a,additive_inverse(multiply(b,sF1))),X0)),
inference(superposition,[],[f8,f2119]) ).
fof(f3069,plain,
! [X0] : multiply(additive_identity,additive_identity) = multiply(additive_identity,add(X0,additive_identity)),
inference(superposition,[],[f1165,f3]) ).
fof(f3129,plain,
! [X0] : multiply(additive_identity,X0) = multiply(additive_identity,additive_identity),
inference(forward_demodulation,[],[f3069,f1]) ).
fof(f3168,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(forward_demodulation,[],[f3129,f1322]) ).
fof(f3200,plain,
! [X0] : additive_identity = multiply(b,multiply(add(a,additive_inverse(multiply(b,sF1))),X0)),
inference(backward_demodulation,[],[f2134,f3168]) ).
fof(f3322,plain,
multiply(add(a,additive_inverse(multiply(b,sF1))),multiply(b,multiply(add(a,additive_inverse(multiply(b,sF1))),additive_identity))) = multiply(add(a,additive_inverse(multiply(b,sF1))),b),
inference(superposition,[],[f347,f3200]) ).
fof(f3337,plain,
multiply(add(a,additive_inverse(multiply(b,sF1))),additive_identity) = multiply(add(a,additive_inverse(multiply(b,sF1))),b),
inference(forward_demodulation,[],[f3322,f3200]) ).
fof(f3347,plain,
additive_identity = multiply(add(a,additive_inverse(multiply(b,sF1))),b),
inference(forward_demodulation,[],[f3337,f1322]) ).
fof(f3368,plain,
! [X0] : multiply(additive_identity,X0) = multiply(add(a,additive_inverse(multiply(b,sF1))),multiply(b,X0)),
inference(superposition,[],[f8,f3347]) ).
fof(f3371,plain,
! [X0] : additive_identity = multiply(add(a,additive_inverse(multiply(b,sF1))),multiply(b,X0)),
inference(forward_demodulation,[],[f3368,f3168]) ).
fof(f3398,plain,
! [X0] : additive_identity = multiply(add(a,additive_inverse(multiply(b,sF1))),multiply(sF1,X0)),
inference(superposition,[],[f3371,f385]) ).
fof(f3509,plain,
multiply(sF1,multiply(add(a,additive_inverse(multiply(b,sF1))),multiply(sF1,additive_identity))) = multiply(sF1,add(a,additive_inverse(multiply(b,sF1)))),
inference(superposition,[],[f347,f3398]) ).
fof(f3524,plain,
multiply(sF1,additive_identity) = multiply(sF1,add(a,additive_inverse(multiply(b,sF1)))),
inference(forward_demodulation,[],[f3509,f3398]) ).
fof(f3531,plain,
additive_identity = multiply(sF1,add(a,additive_inverse(multiply(b,sF1)))),
inference(forward_demodulation,[],[f3524,f1322]) ).
fof(f3539,plain,
! [X0] : multiply(additive_identity,X0) = multiply(sF1,multiply(add(a,additive_inverse(multiply(b,sF1))),X0)),
inference(superposition,[],[f8,f3531]) ).
fof(f3542,plain,
! [X0] : additive_identity = multiply(sF1,multiply(add(a,additive_inverse(multiply(b,sF1))),X0)),
inference(forward_demodulation,[],[f3539,f3168]) ).
fof(f3565,plain,
additive_identity = multiply(sF1,additive_inverse(add(a,additive_inverse(multiply(b,sF1))))),
inference(superposition,[],[f3542,f1508]) ).
fof(f3584,plain,
additive_identity = multiply(sF1,add(multiply(b,sF1),additive_inverse(a))),
inference(forward_demodulation,[],[f3565,f137]) ).
fof(f3592,plain,
additive_identity = multiply(sF1,add(additive_inverse(a),multiply(b,sF1))),
inference(forward_demodulation,[],[f3584,f7]) ).
fof(f3603,plain,
! [X0] : multiply(additive_identity,X0) = multiply(sF1,multiply(add(additive_inverse(a),multiply(b,sF1)),X0)),
inference(superposition,[],[f8,f3592]) ).
fof(f3608,plain,
! [X0] : additive_identity = multiply(sF1,multiply(add(additive_inverse(a),multiply(b,sF1)),X0)),
inference(forward_demodulation,[],[f3603,f3168]) ).
fof(f3632,plain,
multiply(add(additive_inverse(a),multiply(b,sF1)),multiply(sF1,multiply(add(additive_inverse(a),multiply(b,sF1)),additive_identity))) = multiply(add(additive_inverse(a),multiply(b,sF1)),sF1),
inference(superposition,[],[f347,f3608]) ).
fof(f3647,plain,
multiply(add(additive_inverse(a),multiply(b,sF1)),additive_identity) = multiply(add(additive_inverse(a),multiply(b,sF1)),sF1),
inference(forward_demodulation,[],[f3632,f3608]) ).
fof(f3657,plain,
additive_identity = multiply(add(additive_inverse(a),multiply(b,sF1)),sF1),
inference(forward_demodulation,[],[f3647,f1322]) ).
fof(f4076,plain,
multiply(a,additive_identity) = multiply(a,add(b,additive_inverse(multiply(a,sF0)))),
inference(superposition,[],[f464,f3]) ).
fof(f4100,plain,
additive_identity = multiply(a,add(b,additive_inverse(multiply(a,sF0)))),
inference(forward_demodulation,[],[f4076,f1322]) ).
fof(f4117,plain,
! [X0] : multiply(additive_identity,X0) = multiply(a,multiply(add(b,additive_inverse(multiply(a,sF0))),X0)),
inference(superposition,[],[f8,f4100]) ).
fof(f4122,plain,
! [X0] : additive_identity = multiply(a,multiply(add(b,additive_inverse(multiply(a,sF0))),X0)),
inference(forward_demodulation,[],[f4117,f3168]) ).
fof(f4182,plain,
multiply(add(b,additive_inverse(multiply(a,sF0))),multiply(a,multiply(add(b,additive_inverse(multiply(a,sF0))),additive_identity))) = multiply(add(b,additive_inverse(multiply(a,sF0))),a),
inference(superposition,[],[f347,f4122]) ).
fof(f4197,plain,
multiply(add(b,additive_inverse(multiply(a,sF0))),additive_identity) = multiply(add(b,additive_inverse(multiply(a,sF0))),a),
inference(forward_demodulation,[],[f4182,f4122]) ).
fof(f4209,plain,
additive_identity = multiply(add(b,additive_inverse(multiply(a,sF0))),a),
inference(forward_demodulation,[],[f4197,f1322]) ).
fof(f7255,plain,
! [X2,X0,X1] : add(multiply(X0,add(X2,X1)),additive_inverse(multiply(X0,X1))) = add(multiply(X0,X2),additive_identity),
inference(superposition,[],[f446,f3]) ).
fof(f7306,plain,
! [X2,X0,X1] : add(multiply(X0,add(X2,X1)),additive_inverse(multiply(X0,X1))) = add(additive_identity,multiply(X0,X2)),
inference(forward_demodulation,[],[f7255,f7]) ).
fof(f7468,plain,
! [X2,X0,X1] : multiply(X0,X2) = add(multiply(X0,add(X2,X1)),additive_inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f7306,f19]) ).
fof(f7545,plain,
! [X2,X0,X1] : multiply(X0,X2) = add(additive_inverse(multiply(X0,X1)),multiply(X0,add(X2,X1))),
inference(forward_demodulation,[],[f7468,f7]) ).
fof(f9412,plain,
! [X0,X1] : multiply(add(multiply(X1,b),X0),a) = add(multiply(X1,sF1),multiply(X0,a)),
inference(superposition,[],[f942,f14]) ).
fof(f9434,plain,
! [X0,X1] : multiply(add(multiply(X0,X0),X1),X0) = add(X0,multiply(X1,X0)),
inference(superposition,[],[f942,f9]) ).
fof(f9473,plain,
! [X0] : add(sF1,multiply(X0,a)) = multiply(add(multiply(sF1,a),X0),a),
inference(superposition,[],[f942,f365]) ).
fof(f9710,plain,
! [X0] : multiply(add(b,X0),a) = multiply(add(multiply(sF1,a),X0),a),
inference(forward_demodulation,[],[f9473,f953]) ).
fof(f10719,plain,
! [X0] : multiply(additive_identity,X0) = add(X0,multiply(additive_inverse(multiply(X0,X0)),X0)),
inference(superposition,[],[f9434,f3]) ).
fof(f10764,plain,
! [X0] : additive_identity = add(X0,multiply(additive_inverse(multiply(X0,X0)),X0)),
inference(forward_demodulation,[],[f10719,f3168]) ).
fof(f10816,plain,
! [X0] : additive_inverse(X0) = add(multiply(additive_inverse(multiply(X0,X0)),X0),additive_inverse(additive_identity)),
inference(superposition,[],[f99,f10764]) ).
fof(f10855,plain,
! [X0] : additive_inverse(X0) = add(additive_inverse(additive_identity),multiply(additive_inverse(multiply(X0,X0)),X0)),
inference(forward_demodulation,[],[f10816,f7]) ).
fof(f10878,plain,
! [X0] : additive_inverse(X0) = add(additive_identity,multiply(additive_inverse(multiply(X0,X0)),X0)),
inference(forward_demodulation,[],[f10855,f20]) ).
fof(f10889,plain,
! [X0] : additive_inverse(X0) = multiply(additive_inverse(multiply(X0,X0)),X0),
inference(forward_demodulation,[],[f10878,f19]) ).
fof(f10912,plain,
! [X0,X1] : multiply(additive_inverse(X0),X1) = multiply(additive_inverse(multiply(X0,X0)),multiply(X0,X1)),
inference(superposition,[],[f8,f10889]) ).
fof(f11316,plain,
multiply(additive_identity,a) = multiply(add(b,additive_inverse(multiply(sF1,a))),a),
inference(superposition,[],[f9710,f3]) ).
fof(f11346,plain,
additive_identity = multiply(add(b,additive_inverse(multiply(sF1,a))),a),
inference(forward_demodulation,[],[f11316,f3168]) ).
fof(f11365,plain,
! [X0] : multiply(additive_identity,X0) = multiply(add(b,additive_inverse(multiply(sF1,a))),multiply(a,X0)),
inference(superposition,[],[f8,f11346]) ).
fof(f11378,plain,
! [X0] : additive_identity = multiply(add(b,additive_inverse(multiply(sF1,a))),multiply(a,X0)),
inference(forward_demodulation,[],[f11365,f3168]) ).
fof(f11422,plain,
multiply(a,multiply(add(b,additive_inverse(multiply(sF1,a))),multiply(a,additive_identity))) = multiply(a,add(b,additive_inverse(multiply(sF1,a)))),
inference(superposition,[],[f347,f11378]) ).
fof(f11447,plain,
multiply(a,additive_identity) = multiply(a,add(b,additive_inverse(multiply(sF1,a)))),
inference(forward_demodulation,[],[f11422,f11378]) ).
fof(f11458,plain,
additive_identity = multiply(a,add(b,additive_inverse(multiply(sF1,a)))),
inference(forward_demodulation,[],[f11447,f1322]) ).
fof(f11511,plain,
! [X0] : multiply(additive_identity,X0) = multiply(a,multiply(add(b,additive_inverse(multiply(sF1,a))),X0)),
inference(superposition,[],[f8,f11458]) ).
fof(f11522,plain,
! [X0] : additive_identity = multiply(a,multiply(add(b,additive_inverse(multiply(sF1,a))),X0)),
inference(forward_demodulation,[],[f11511,f3168]) ).
fof(f12441,plain,
additive_identity = multiply(a,additive_inverse(add(b,additive_inverse(multiply(sF1,a))))),
inference(superposition,[],[f11522,f1508]) ).
fof(f12485,plain,
additive_identity = multiply(a,add(multiply(sF1,a),additive_inverse(b))),
inference(forward_demodulation,[],[f12441,f137]) ).
fof(f12504,plain,
additive_identity = multiply(a,add(additive_inverse(b),multiply(sF1,a))),
inference(forward_demodulation,[],[f12485,f7]) ).
fof(f12519,plain,
add(sF0,additive_identity) = multiply(a,add(b,add(additive_inverse(b),multiply(sF1,a)))),
inference(superposition,[],[f421,f12504]) ).
fof(f12551,plain,
add(sF0,additive_identity) = multiply(a,multiply(sF1,a)),
inference(forward_demodulation,[],[f12519,f39]) ).
fof(f12564,plain,
add(additive_identity,sF0) = multiply(a,multiply(sF1,a)),
inference(forward_demodulation,[],[f12551,f7]) ).
fof(f12570,plain,
sF0 = multiply(a,multiply(sF1,a)),
inference(forward_demodulation,[],[f12564,f19]) ).
fof(f12580,plain,
multiply(sF1,a) = multiply(sF1,multiply(a,multiply(sF1,sF0))),
inference(superposition,[],[f347,f12570]) ).
fof(f14129,plain,
multiply(additive_inverse(multiply(add(b,additive_inverse(multiply(a,sF0))),add(b,additive_inverse(multiply(a,sF0))))),additive_identity) = multiply(additive_inverse(add(b,additive_inverse(multiply(a,sF0)))),a),
inference(superposition,[],[f10912,f4209]) ).
fof(f14357,plain,
multiply(additive_inverse(multiply(add(b,additive_inverse(multiply(a,sF0))),add(b,additive_inverse(multiply(a,sF0))))),additive_identity) = multiply(add(multiply(a,sF0),additive_inverse(b)),a),
inference(forward_demodulation,[],[f14129,f137]) ).
fof(f14433,plain,
multiply(additive_inverse(multiply(add(b,additive_inverse(multiply(a,sF0))),add(b,additive_inverse(multiply(a,sF0))))),additive_identity) = multiply(add(additive_inverse(b),multiply(a,sF0)),a),
inference(forward_demodulation,[],[f14357,f7]) ).
fof(f14476,plain,
additive_identity = multiply(add(additive_inverse(b),multiply(a,sF0)),a),
inference(forward_demodulation,[],[f14433,f1322]) ).
fof(f14813,plain,
! [X2,X0,X1] : add(multiply(X2,X1),additive_identity) = add(multiply(add(X2,X0),X1),additive_inverse(multiply(X0,X1))),
inference(superposition,[],[f986,f3]) ).
fof(f14881,plain,
! [X2,X0,X1] : add(multiply(X2,X1),additive_identity) = add(additive_inverse(multiply(X0,X1)),multiply(add(X2,X0),X1)),
inference(forward_demodulation,[],[f14813,f7]) ).
fof(f15127,plain,
! [X2,X0,X1] : add(additive_identity,multiply(X2,X1)) = add(additive_inverse(multiply(X0,X1)),multiply(add(X2,X0),X1)),
inference(forward_demodulation,[],[f14881,f7]) ).
fof(f15275,plain,
! [X2,X0,X1] : multiply(X2,X1) = add(additive_inverse(multiply(X0,X1)),multiply(add(X2,X0),X1)),
inference(forward_demodulation,[],[f15127,f19]) ).
fof(f15848,plain,
add(sF1,additive_identity) = multiply(add(b,add(additive_inverse(b),multiply(a,sF0))),a),
inference(superposition,[],[f953,f14476]) ).
fof(f15880,plain,
add(sF1,additive_identity) = multiply(multiply(a,sF0),a),
inference(forward_demodulation,[],[f15848,f39]) ).
fof(f15893,plain,
add(sF1,additive_identity) = multiply(a,multiply(sF0,a)),
inference(forward_demodulation,[],[f15880,f8]) ).
fof(f15900,plain,
add(sF1,additive_identity) = multiply(a,multiply(a,multiply(b,a))),
inference(forward_demodulation,[],[f15893,f343]) ).
fof(f15902,plain,
add(sF1,additive_identity) = multiply(a,multiply(a,sF1)),
inference(forward_demodulation,[],[f15900,f14]) ).
fof(f15904,plain,
add(additive_identity,sF1) = multiply(a,multiply(a,sF1)),
inference(forward_demodulation,[],[f15902,f7]) ).
fof(f15906,plain,
sF1 = multiply(a,multiply(a,sF1)),
inference(forward_demodulation,[],[f15904,f19]) ).
fof(f15909,plain,
multiply(b,sF1) = multiply(sF1,multiply(a,sF1)),
inference(superposition,[],[f344,f15906]) ).
fof(f15965,plain,
! [X0] : multiply(multiply(b,sF1),X0) = multiply(sF1,multiply(multiply(a,sF1),X0)),
inference(superposition,[],[f8,f15909]) ).
fof(f15986,plain,
! [X0] : multiply(multiply(b,sF1),X0) = multiply(sF1,multiply(a,multiply(sF1,X0))),
inference(forward_demodulation,[],[f15965,f8]) ).
fof(f15998,plain,
! [X0] : multiply(b,multiply(sF1,X0)) = multiply(sF1,multiply(a,multiply(sF1,X0))),
inference(forward_demodulation,[],[f15986,f8]) ).
fof(f16006,plain,
multiply(sF1,a) = multiply(b,multiply(sF1,sF0)),
inference(backward_demodulation,[],[f12580,f15998]) ).
fof(f16018,plain,
multiply(sF1,sF0) = multiply(b,multiply(sF1,a)),
inference(superposition,[],[f385,f16006]) ).
fof(f17494,plain,
! [X2,X0,X1] : multiply(X2,X0) = add(additive_inverse(multiply(X2,add(X1,additive_inverse(X0)))),multiply(X2,X1)),
inference(superposition,[],[f7545,f43]) ).
fof(f17549,plain,
multiply(sF1,a) = add(additive_inverse(multiply(sF1,additive_inverse(multiply(b,sF1)))),additive_identity),
inference(superposition,[],[f7545,f3531]) ).
fof(f17570,plain,
multiply(sF1,a) = add(additive_identity,additive_inverse(multiply(sF1,additive_inverse(multiply(b,sF1))))),
inference(forward_demodulation,[],[f17549,f7]) ).
fof(f17596,plain,
! [X2,X0,X1] : multiply(X2,X0) = add(multiply(X2,X1),additive_inverse(multiply(X2,add(X1,additive_inverse(X0))))),
inference(forward_demodulation,[],[f17494,f7]) ).
fof(f17684,plain,
multiply(sF1,a) = additive_inverse(multiply(sF1,additive_inverse(multiply(b,sF1)))),
inference(forward_demodulation,[],[f17570,f19]) ).
fof(f17697,plain,
! [X2,X0] : multiply(X2,X0) = additive_inverse(multiply(X2,additive_inverse(X0))),
inference(forward_demodulation,[],[f17596,f444]) ).
fof(f17787,plain,
multiply(sF1,a) = multiply(sF1,multiply(b,sF1)),
inference(backward_demodulation,[],[f17684,f17697]) ).
fof(f18126,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
inference(superposition,[],[f51,f17697]) ).
fof(f18233,plain,
! [X2,X0,X1] : add(multiply(X1,X0),additive_inverse(multiply(add(X1,X2),X0))) = multiply(X2,additive_inverse(X0)),
inference(backward_demodulation,[],[f993,f18126]) ).
fof(f18280,plain,
! [X2,X0,X1] : multiply(X2,X1) = add(multiply(X0,additive_inverse(X1)),multiply(add(X2,X0),X1)),
inference(backward_demodulation,[],[f15275,f18126]) ).
fof(f18946,plain,
! [X2,X0,X1] : multiply(X2,additive_inverse(X0)) = add(multiply(X1,X0),multiply(add(X1,X2),additive_inverse(X0))),
inference(forward_demodulation,[],[f18233,f18126]) ).
fof(f20183,plain,
! [X0] : multiply(sF1,multiply(multiply(b,sF1),X0)) = multiply(multiply(sF1,a),X0),
inference(superposition,[],[f8,f17787]) ).
fof(f20199,plain,
! [X0] : multiply(sF1,multiply(a,X0)) = multiply(sF1,multiply(multiply(b,sF1),X0)),
inference(forward_demodulation,[],[f20183,f8]) ).
fof(f20208,plain,
! [X0] : multiply(sF1,multiply(a,X0)) = multiply(sF1,multiply(b,multiply(sF1,X0))),
inference(forward_demodulation,[],[f20199,f8]) ).
fof(f21574,plain,
! [X2,X0,X1] : multiply(X0,X2) = add(multiply(add(X1,additive_inverse(X0)),additive_inverse(X2)),multiply(X1,X2)),
inference(superposition,[],[f18280,f43]) ).
fof(f21663,plain,
! [X2,X0,X1] : multiply(X0,X2) = add(multiply(X1,X2),multiply(add(X1,additive_inverse(X0)),additive_inverse(X2))),
inference(forward_demodulation,[],[f21574,f7]) ).
fof(f21712,plain,
! [X2,X0] : multiply(X0,X2) = multiply(additive_inverse(X0),additive_inverse(X2)),
inference(forward_demodulation,[],[f21663,f18946]) ).
fof(f21791,plain,
! [X0,X1] : multiply(X1,additive_inverse(X0)) = multiply(additive_inverse(X1),X0),
inference(superposition,[],[f21712,f51]) ).
fof(f21808,plain,
! [X2,X3,X0,X1] : multiply(add(X2,multiply(X3,additive_inverse(X1))),additive_inverse(X0)) = add(multiply(X2,additive_inverse(X0)),multiply(X3,multiply(X1,X0))),
inference(superposition,[],[f963,f21712]) ).
fof(f23193,plain,
! [X2,X3,X0,X1] : multiply(add(additive_inverse(X1),multiply(X3,X2)),X0) = add(multiply(X1,additive_inverse(X0)),multiply(X3,multiply(X2,X0))),
inference(superposition,[],[f963,f21791]) ).
fof(f23225,plain,
! [X2,X3,X0,X1] : multiply(add(X2,multiply(X3,additive_inverse(X1))),additive_inverse(X0)) = multiply(add(additive_inverse(X2),multiply(X3,X1)),X0),
inference(backward_demodulation,[],[f21808,f23193]) ).
fof(f25765,plain,
! [X0] : multiply(sF1,add(X0,sF0)) = multiply(sF1,add(X0,multiply(sF1,multiply(b,multiply(sF1,a))))),
inference(superposition,[],[f457,f16018]) ).
fof(f25854,plain,
! [X0] : multiply(sF1,add(X0,sF0)) = multiply(sF1,add(X0,multiply(sF1,multiply(a,a)))),
inference(forward_demodulation,[],[f25765,f20208]) ).
fof(f25926,plain,
! [X0] : multiply(sF1,add(X0,sF0)) = multiply(sF1,add(X0,sF1)),
inference(forward_demodulation,[],[f25854,f365]) ).
fof(f25989,plain,
multiply(sF1,sF0) = multiply(sF1,add(additive_identity,sF1)),
inference(superposition,[],[f25926,f19]) ).
fof(f26033,plain,
multiply(sF1,sF1) = multiply(sF1,sF0),
inference(forward_demodulation,[],[f25989,f19]) ).
fof(f26048,plain,
multiply(sF1,sF1) = multiply(b,multiply(sF1,a)),
inference(backward_demodulation,[],[f16018,f26033]) ).
fof(f26096,plain,
multiply(sF1,a) = multiply(b,multiply(sF1,sF1)),
inference(superposition,[],[f385,f26048]) ).
fof(f26157,plain,
! [X0] : add(multiply(X0,sF1),multiply(sF1,a)) = multiply(add(X0,multiply(b,sF1)),sF1),
inference(superposition,[],[f963,f26096]) ).
fof(f26185,plain,
! [X0] : multiply(add(multiply(X0,b),sF1),a) = multiply(add(X0,multiply(b,sF1)),sF1),
inference(forward_demodulation,[],[f26157,f9412]) ).
fof(f26193,plain,
! [X0] : multiply(add(sF1,multiply(X0,b)),a) = multiply(add(X0,multiply(b,sF1)),sF1),
inference(forward_demodulation,[],[f26185,f7]) ).
fof(f26198,plain,
additive_identity = multiply(add(sF1,multiply(additive_inverse(a),b)),a),
inference(backward_demodulation,[],[f3657,f26193]) ).
fof(f26201,plain,
additive_identity = multiply(add(sF1,multiply(a,additive_inverse(b))),a),
inference(forward_demodulation,[],[f26198,f21791]) ).
fof(f26222,plain,
additive_inverse(additive_identity) = multiply(add(sF1,multiply(a,additive_inverse(b))),additive_inverse(a)),
inference(superposition,[],[f18126,f26201]) ).
fof(f26223,plain,
additive_inverse(additive_identity) = multiply(add(additive_inverse(sF1),multiply(a,b)),a),
inference(forward_demodulation,[],[f26222,f23225]) ).
fof(f26242,plain,
additive_inverse(additive_identity) = multiply(add(multiply(a,b),additive_inverse(sF1)),a),
inference(forward_demodulation,[],[f26223,f7]) ).
fof(f26257,plain,
additive_inverse(additive_identity) = multiply(add(sF0,additive_inverse(sF1)),a),
inference(forward_demodulation,[],[f26242,f12]) ).
fof(f26265,plain,
additive_identity = multiply(add(sF0,additive_inverse(sF1)),a),
inference(forward_demodulation,[],[f26257,f20]) ).
fof(f26272,plain,
! [X0] : add(multiply(X0,a),additive_identity) = multiply(add(X0,add(sF0,additive_inverse(sF1))),a),
inference(superposition,[],[f5,f26265]) ).
fof(f26299,plain,
! [X0] : add(additive_identity,multiply(X0,a)) = multiply(add(X0,add(sF0,additive_inverse(sF1))),a),
inference(forward_demodulation,[],[f26272,f7]) ).
fof(f26315,plain,
! [X0] : multiply(X0,a) = multiply(add(X0,add(sF0,additive_inverse(sF1))),a),
inference(forward_demodulation,[],[f26299,f19]) ).
fof(f27743,plain,
multiply(sF1,a) = multiply(sF0,a),
inference(superposition,[],[f26315,f43]) ).
fof(f27798,plain,
multiply(sF1,a) = multiply(a,multiply(b,a)),
inference(forward_demodulation,[],[f27743,f343]) ).
fof(f27811,plain,
multiply(sF1,a) = multiply(a,sF1),
inference(forward_demodulation,[],[f27798,f14]) ).
fof(f27845,plain,
sF0 = multiply(a,multiply(a,sF1)),
inference(backward_demodulation,[],[f12570,f27811]) ).
fof(f28174,plain,
sF0 = sF1,
inference(forward_demodulation,[],[f27845,f15906]) ).
fof(f28334,plain,
$false,
inference(forward_subsumption_resolution,[],[f28174,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG009-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.45 % Computer : n005.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 27 22:58:17 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.50 Running first-order theorem proving
% 0.19/0.50 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.76/5.83 % (277066)Detected a unit-equality problem, will run specialized UEQ schedule.
% 9.76/5.83 % (277075)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2782866472:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 9.76/5.83 % (277073)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1872127239:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 9.76/5.83 % (277072)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=2920567915:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 9.76/5.83 % (277071)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=2843067160:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 9.76/5.83 % (277076)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2768220552:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 9.76/5.83 % (277077)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=978774684:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 9.76/5.83 % (277074)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=707015915:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 9.76/5.83 % (277075)Instruction limit reached!
% 9.76/5.83 % (277075)------------------------------
% 9.76/5.83 % (277075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.76/5.83 % (277075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.76/5.83 % (277075)CaDiCaL version: 2.1.3
% 9.76/5.83 % (277075)Termination reason: Instruction limit
% 9.76/5.83 % (277075)Termination phase: Saturation
% 9.76/5.83 % (277075)Time elapsed: 0.093 s
% 9.76/5.83 % (277075)Peak memory usage: 89 MB
% 9.76/5.83 % (277075)Instructions burned: 182 (million)
% 9.76/5.83 % (277074)Instruction limit reached!
% 9.76/5.83 % (277074)------------------------------
% 9.76/5.83 % (277074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.76/5.83 % (277074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.76/5.83 % (277074)CaDiCaL version: 2.1.3
% 9.76/5.83 % (277074)Termination reason: Instruction limit
% 9.76/5.83 % (277074)Termination phase: Saturation
% 9.76/5.83 % (277074)Time elapsed: 0.123 s
% 9.76/5.83 % (277074)Peak memory usage: 88 MB
% 9.76/5.83 % (277074)Instructions burned: 136 (million)
% 9.76/5.83 % (277076)Instruction limit reached!
% 9.76/5.83 % (277076)------------------------------
% 9.76/5.83 % (277076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.76/5.83 % (277076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.76/5.83 % (277076)CaDiCaL version: 2.1.3
% 9.76/5.83 % (277076)Termination reason: Instruction limit
% 9.76/5.83 % (277076)Termination phase: Saturation
% 9.76/5.83 % (277076)Time elapsed: 0.232 s
% 9.76/5.83 % (277076)Peak memory usage: 89 MB
% 9.76/5.83 % (277076)Instructions burned: 257 (million)
% 9.76/5.83 % (277085)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2676073170:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 9.76/5.83 % (277086)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2205773464:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 9.76/5.83 % (277087)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=4268956193:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 9.76/5.83 % (277087)Instruction limit reached!
% 9.76/5.83 % (277087)------------------------------
% 9.76/5.83 % (277087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.76/5.83 % (277087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.76/5.83 % (277087)CaDiCaL version: 2.1.3
% 9.76/5.83 % (277087)Termination reason: Instruction limit
% 9.76/5.83 % (277087)Termination phase: Saturation
% 9.76/5.83 % (277087)Time elapsed: 0.200 s
% 9.76/5.83 % (277087)Peak memory usage: 91 MB
% 9.76/5.83 % (277087)Instructions burned: 216 (million)
% 9.76/5.83 % (277091)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=497071216:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2989 on theBenchmark for (2989ds/317Mi)
% 9.76/5.83 % (277077)Instruction limit reached!
% 9.76/5.83 % (277077)------------------------------
% 9.76/5.83 % (277077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.76/5.83 % (277077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.76/5.83 % (277077)CaDiCaL version: 2.1.3
% 9.76/5.83 % (277077)Termination reason: Instruction limit
% 9.76/5.83 % (277077)Termination phase: Saturation
% 9.76/5.83 % (277077)Time elapsed: 1.050 s
% 9.76/5.83 % (277077)Peak memory usage: 96 MB
% 9.76/5.83 % (277077)Instructions burned: 1187 (million)
% 9.76/5.83 % (277093)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=44020937:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 9.76/5.83 % (277091)Instruction limit reached!
% 9.76/5.83 % (277091)------------------------------
% 9.76/5.83 % (277091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.76/5.83 % (277091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.76/5.83 % (277091)CaDiCaL version: 2.1.3
% 9.76/5.83 % (277091)Termination reason: Instruction limit
% 9.76/5.83 % (277091)Termination phase: Saturation
% 9.76/5.83 % (277091)Time elapsed: 0.324 s
% 9.76/5.83 % (277091)Peak memory usage: 92 MB
% 9.76/5.83 % (277091)Instructions burned: 317 (million)
% 9.76/5.83 % (277095)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1833236316:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2983 on theBenchmark for (2983ds/2836Mi)
% 9.76/5.83 % (277085)Instruction limit reached!
% 9.76/5.83 % (277085)------------------------------
% 9.76/5.83 % (277085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.76/5.83 % (277085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.76/5.83 % (277085)CaDiCaL version: 2.1.3
% 9.76/5.83 % (277085)Termination reason: Instruction limit
% 9.76/5.83 % (277085)Termination phase: Saturation
% 9.76/5.83 % (277085)Time elapsed: 1.835 s
% 9.76/5.83 % (277085)Peak memory usage: 140 MB
% 9.76/5.83 % (277085)Instructions burned: 2051 (million)
% 9.76/5.83 % (277097)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=4260890284:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2976 on theBenchmark for (2976ds/14534Mi)
% 9.76/5.83 % (277095)First to succeed.
% 9.76/5.83 % (277095)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-277066"
% 9.76/5.83 % (277095)Refutation found. Thanks to Tanya!
% 9.76/5.83 % SZS status Unsatisfiable for theBenchmark
% 9.76/5.83 % SZS output start Proof for theBenchmark
% See solution above
% 33.07/6.22 % (277095)------------------------------
% 33.07/6.22 % (277095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.07/6.22 % (277095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.07/6.22 % (277095)CaDiCaL version: 2.1.3
% 33.07/6.22 % (277095)Termination reason: Refutation
% 33.07/6.22 % (277095)Time elapsed: 2.172 s
% 33.07/6.22 % (277095)Peak memory usage: 112 MB
% 33.07/6.22 % (277095)Instructions burned: 1916 (million)
% 33.07/6.22 % (277095)------------------------------
% 33.07/6.22 % (277095)------------------------------
% 33.07/6.22 % (277066)Success in time 4.556 s
% 33.07/6.22 % Vampire exiting
%------------------------------------------------------------------------------