%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : BOO007-4 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:35:49 AM UTC 2026
% Result : Unsatisfiable 7.49s 1.77s
% Output : Refutation 8.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 9
% Syntax : Number of formulae : 199 ( 199 unt; 0 def)
% Number of atoms : 199 ( 198 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 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 : 473 ( 473 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f3,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
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',distributivity2) ).
fof(f5,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id1) ).
fof(f6,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f7,axiom,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f8,plain,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f10,plain,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_associativity) ).
fof(f12,plain,
multiply(a,multiply(b,c)) != multiply(c,multiply(a,b)),
inference(backward_demodulation,[],[f11,f2]) ).
fof(f14,plain,
! [X2,X0,X1] : multiply(X1,add(X0,X2)) = add(multiply(X0,X1),multiply(X1,X2)),
inference(superposition,[],[f4,f2]) ).
fof(f16,plain,
! [X2,X0,X1] : multiply(X1,add(X2,X0)) = add(multiply(X1,X2),multiply(X0,X1)),
inference(superposition,[],[f4,f2]) ).
fof(f25,plain,
! [X0,X1] : add(X0,multiply(X1,additive_identity)) = multiply(add(X0,X1),X0),
inference(superposition,[],[f3,f5]) ).
fof(f27,plain,
! [X0,X1] : add(X0,multiply(X1,additive_identity)) = multiply(X0,add(X0,X1)),
inference(forward_demodulation,[],[f25,f2]) ).
fof(f37,plain,
! [X2,X0,X1] : add(X1,multiply(X2,X0)) = multiply(add(X1,X2),add(X0,X1)),
inference(superposition,[],[f3,f1]) ).
fof(f38,plain,
! [X2,X0,X1] : add(X1,multiply(X2,X0)) = multiply(add(X2,X1),add(X1,X0)),
inference(superposition,[],[f3,f1]) ).
fof(f39,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(superposition,[],[f5,f1]) ).
fof(f40,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = multiply(add(X0,X1),multiplicative_identity),
inference(superposition,[],[f3,f8]) ).
fof(f42,plain,
! [X0,X1] : add(X0,X1) = add(X0,multiply(X1,inverse(X0))),
inference(forward_demodulation,[],[f40,f6]) ).
fof(f59,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(superposition,[],[f2,f6]) ).
fof(f62,plain,
! [X0] : add(X0,additive_identity) = add(X0,X0),
inference(superposition,[],[f42,f10]) ).
fof(f63,plain,
! [X0,X1] : multiply(X0,add(X1,inverse(X0))) = add(multiply(X0,X1),additive_identity),
inference(superposition,[],[f4,f10]) ).
fof(f64,plain,
! [X0,X1] : multiply(X1,add(inverse(X1),X0)) = add(additive_identity,multiply(X1,X0)),
inference(superposition,[],[f4,f10]) ).
fof(f65,plain,
! [X0,X1] : multiply(X1,X0) = multiply(X1,add(inverse(X1),X0)),
inference(forward_demodulation,[],[f64,f39]) ).
fof(f66,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,add(X1,inverse(X0))),
inference(forward_demodulation,[],[f63,f5]) ).
fof(f67,plain,
! [X0] : add(X0,X0) = X0,
inference(forward_demodulation,[],[f62,f5]) ).
fof(f68,plain,
! [X0] : multiply(X0,multiplicative_identity) = multiply(X0,X0),
inference(superposition,[],[f66,f8]) ).
fof(f79,plain,
! [X0] : multiply(X0,X0) = X0,
inference(forward_demodulation,[],[f68,f6]) ).
fof(f81,plain,
! [X0,X1] : add(multiply(X0,X1),X0) = multiply(X0,add(X1,X0)),
inference(superposition,[],[f4,f79]) ).
fof(f82,plain,
! [X0,X1] : multiply(X1,add(X1,X0)) = add(X1,multiply(X1,X0)),
inference(superposition,[],[f4,f79]) ).
fof(f84,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X1,X0)),
inference(forward_demodulation,[],[f81,f1]) ).
fof(f88,plain,
! [X0] : multiply(X0,inverse(X0)) = multiply(X0,additive_identity),
inference(superposition,[],[f65,f5]) ).
fof(f89,plain,
! [X0] : multiply(X0,multiplicative_identity) = multiply(X0,inverse(inverse(X0))),
inference(superposition,[],[f65,f8]) ).
fof(f94,plain,
! [X0] : multiply(X0,inverse(inverse(X0))) = X0,
inference(forward_demodulation,[],[f89,f6]) ).
fof(f95,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(forward_demodulation,[],[f88,f10]) ).
fof(f97,plain,
! [X0,X1] : add(X0,additive_identity) = multiply(X0,add(X0,X1)),
inference(backward_demodulation,[],[f27,f95]) ).
fof(f98,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(forward_demodulation,[],[f97,f5]) ).
fof(f99,plain,
! [X0,X1] : add(X1,multiply(X1,X0)) = X1,
inference(backward_demodulation,[],[f82,f98]) ).
fof(f102,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(backward_demodulation,[],[f84,f99]) ).
fof(f157,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = add(X0,multiply(X1,X0)),
inference(superposition,[],[f3,f67]) ).
fof(f160,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f157,f2]) ).
fof(f161,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f160,f98]) ).
fof(f185,plain,
! [X0,X1] : multiply(X1,X0) = multiply(multiply(X1,X0),X1),
inference(superposition,[],[f102,f99]) ).
fof(f193,plain,
! [X0,X1] : multiply(X1,X0) = multiply(X1,multiply(X1,X0)),
inference(forward_demodulation,[],[f185,f2]) ).
fof(f197,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,multiply(X0,X1)),
inference(superposition,[],[f193,f2]) ).
fof(f244,plain,
multiplicative_identity = inverse(additive_identity),
inference(superposition,[],[f39,f8]) ).
fof(f276,plain,
! [X0,X1] : multiply(inverse(X1),add(X1,X0)) = add(additive_identity,multiply(inverse(X1),X0)),
inference(superposition,[],[f14,f10]) ).
fof(f315,plain,
! [X0,X1] : multiply(inverse(X1),X0) = multiply(inverse(X1),add(X1,X0)),
inference(forward_demodulation,[],[f276,f39]) ).
fof(f355,plain,
! [X0,X1] : multiply(inverse(X1),add(X0,X1)) = add(multiply(inverse(X1),X0),additive_identity),
inference(superposition,[],[f16,f10]) ).
fof(f375,plain,
! [X0,X1] : multiply(inverse(X1),X0) = multiply(inverse(X1),add(X0,X1)),
inference(forward_demodulation,[],[f355,f5]) ).
fof(f407,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X0)),multiply(X1,X2)) = multiply(inverse(multiply(X1,X0)),multiply(X1,add(X2,X0))),
inference(superposition,[],[f375,f4]) ).
fof(f413,plain,
! [X0] : multiply(inverse(inverse(X0)),X0) = multiply(inverse(inverse(X0)),multiplicative_identity),
inference(superposition,[],[f375,f8]) ).
fof(f433,plain,
! [X0] : inverse(inverse(X0)) = multiply(inverse(inverse(X0)),X0),
inference(forward_demodulation,[],[f413,f6]) ).
fof(f437,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(inverse(X0))),
inference(forward_demodulation,[],[f433,f2]) ).
fof(f440,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f437,f94]) ).
fof(f445,plain,
! [X0,X1] : add(inverse(X0),X1) = add(inverse(X0),multiply(X1,X0)),
inference(superposition,[],[f42,f440]) ).
fof(f604,plain,
! [X0,X1] : add(inverse(X0),multiply(X0,X1)) = multiply(multiplicative_identity,add(inverse(X0),X1)),
inference(superposition,[],[f38,f8]) ).
fof(f651,plain,
! [X0,X1] : add(inverse(X0),X1) = add(inverse(X0),multiply(X0,X1)),
inference(forward_demodulation,[],[f604,f59]) ).
fof(f712,plain,
! [X0,X1] : multiply(inverse(X0),add(X0,X1)) = multiply(inverse(X0),multiply(X1,inverse(X0))),
inference(superposition,[],[f315,f42]) ).
fof(f713,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X0),multiply(X1,X0)),
inference(superposition,[],[f315,f161]) ).
fof(f714,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X1,X0)) = multiply(inverse(X1),X1),
inference(superposition,[],[f315,f99]) ).
fof(f718,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X0)) = multiply(inverse(multiply(X1,X2)),multiply(X1,add(X2,X0))),
inference(superposition,[],[f315,f4]) ).
fof(f740,plain,
! [X0,X1] : multiply(X1,inverse(X1)) = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[],[f714,f2]) ).
fof(f741,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(inverse(X0),multiply(X1,X0)),
inference(forward_demodulation,[],[f713,f2]) ).
fof(f742,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = multiply(inverse(X0),add(X0,X1)),
inference(forward_demodulation,[],[f712,f197]) ).
fof(f745,plain,
! [X0,X1] : additive_identity = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[],[f740,f10]) ).
fof(f746,plain,
! [X0,X1] : additive_identity = multiply(inverse(X0),multiply(X1,X0)),
inference(forward_demodulation,[],[f741,f10]) ).
fof(f768,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),add(inverse(X1),X2)) = add(additive_identity,multiply(multiply(X1,X0),X2)),
inference(superposition,[],[f14,f745]) ).
fof(f770,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),add(X2,inverse(X1))) = add(multiply(multiply(X1,X0),X2),additive_identity),
inference(superposition,[],[f16,f745]) ).
fof(f779,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = multiply(multiply(X1,X0),add(X2,inverse(X1))),
inference(forward_demodulation,[],[f770,f5]) ).
fof(f781,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = multiply(multiply(X1,X0),add(inverse(X1),X2)),
inference(forward_demodulation,[],[f768,f39]) ).
fof(f814,plain,
! [X2,X0,X1] : add(additive_identity,multiply(multiply(X1,X0),X2)) = multiply(multiply(X1,X0),add(inverse(X0),X2)),
inference(superposition,[],[f14,f746]) ).
fof(f827,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = multiply(multiply(X1,X0),add(inverse(X0),X2)),
inference(forward_demodulation,[],[f814,f39]) ).
fof(f914,plain,
! [X2,X0,X1] : multiply(multiply(X0,X2),multiply(X0,X1)) = multiply(multiply(X0,X2),add(inverse(X0),X1)),
inference(superposition,[],[f781,f651]) ).
fof(f930,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,X1),add(X3,add(inverse(X2),X0))) = add(multiply(X3,multiply(X2,X1)),multiply(multiply(X2,X1),X0)),
inference(superposition,[],[f14,f781]) ).
fof(f943,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,X1),add(X3,add(inverse(X2),X0))) = multiply(multiply(X2,X1),add(X3,X0)),
inference(forward_demodulation,[],[f930,f14]) ).
fof(f951,plain,
! [X2,X0,X1] : multiply(multiply(X0,X2),X1) = multiply(multiply(X0,X2),multiply(X0,X1)),
inference(forward_demodulation,[],[f914,f781]) ).
fof(f992,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X0)) = multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,multiplicative_identity)),
inference(superposition,[],[f407,f8]) ).
fof(f1004,plain,
! [X2,X0,X1] : multiply(inverse(multiply(add(X2,X0),X2)),multiply(add(X2,X0),X1)) = multiply(inverse(multiply(add(X2,X0),X2)),add(X2,multiply(X0,X1))),
inference(superposition,[],[f407,f37]) ).
fof(f1028,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X2,add(X2,X0))),multiply(add(X2,X0),X1)) = multiply(inverse(multiply(X2,add(X2,X0))),add(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f1004,f2]) ).
fof(f1035,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X0)) = multiply(multiply(X1,multiplicative_identity),inverse(multiply(X1,inverse(X0)))),
inference(forward_demodulation,[],[f992,f2]) ).
fof(f1057,plain,
! [X2,X0,X1] : multiply(inverse(X2),multiply(add(X2,X0),X1)) = multiply(inverse(X2),add(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f1028,f98]) ).
fof(f1064,plain,
! [X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X0)) = multiply(X1,inverse(multiply(X1,inverse(X0)))),
inference(forward_demodulation,[],[f1035,f6]) ).
fof(f1073,plain,
! [X2,X0,X1] : multiply(inverse(X2),multiply(add(X2,X0),X1)) = multiply(inverse(X2),multiply(X0,X1)),
inference(forward_demodulation,[],[f1057,f315]) ).
fof(f1078,plain,
! [X0,X1] : multiply(X1,inverse(multiply(X1,inverse(X0)))) = multiply(multiply(X1,X0),inverse(multiply(X1,inverse(X0)))),
inference(forward_demodulation,[],[f1064,f2]) ).
fof(f1095,plain,
! [X0,X1] : multiply(X1,inverse(multiply(X1,inverse(X0)))) = multiply(multiply(X0,X1),inverse(multiply(X1,inverse(X0)))),
inference(superposition,[],[f1078,f2]) ).
fof(f1107,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(multiply(multiply(X1,X0),inverse(inverse(multiply(X1,inverse(X0))))))) = multiply(multiply(X1,inverse(multiply(X1,inverse(X0)))),inverse(multiply(multiply(X1,X0),inverse(inverse(multiply(X1,inverse(X0))))))),
inference(superposition,[],[f1078,f1078]) ).
fof(f1114,plain,
! [X0,X1] : multiply(X1,inverse(multiply(X1,X0))) = multiply(multiply(X1,inverse(X0)),inverse(multiply(X1,X0))),
inference(superposition,[],[f1078,f440]) ).
fof(f1117,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = multiply(multiply(X1,X0),inverse(multiply(inverse(X0),X1))),
inference(superposition,[],[f1078,f2]) ).
fof(f1126,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),add(inverse(multiply(X1,inverse(X0))),X2)) = add(multiply(X1,inverse(multiply(X1,inverse(X0)))),multiply(X2,multiply(X1,X0))),
inference(superposition,[],[f16,f1078]) ).
fof(f1147,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(multiply(multiply(X1,X0),multiply(X1,inverse(X0))))) = multiply(multiply(X1,inverse(multiply(X1,inverse(X0)))),inverse(multiply(multiply(X1,X0),multiply(X1,inverse(X0))))),
inference(forward_demodulation,[],[f1107,f440]) ).
fof(f1155,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(multiply(multiply(X1,X0),inverse(X0)))) = multiply(multiply(X1,inverse(multiply(X1,inverse(X0)))),inverse(multiply(multiply(X1,X0),inverse(X0)))),
inference(forward_demodulation,[],[f1147,f951]) ).
fof(f1161,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(multiply(inverse(X0),multiply(X1,X0)))) = multiply(multiply(X1,inverse(multiply(X1,inverse(X0)))),inverse(multiply(inverse(X0),multiply(X1,X0)))),
inference(forward_demodulation,[],[f1155,f2]) ).
fof(f1166,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(additive_identity)) = multiply(multiply(X1,inverse(multiply(X1,inverse(X0)))),inverse(additive_identity)),
inference(forward_demodulation,[],[f1161,f746]) ).
fof(f1168,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(additive_identity)) = multiply(inverse(additive_identity),multiply(X1,inverse(multiply(X1,inverse(X0))))),
inference(forward_demodulation,[],[f1166,f2]) ).
fof(f1170,plain,
! [X0,X1] : multiply(multiply(X1,X0),multiplicative_identity) = multiply(multiplicative_identity,multiply(X1,inverse(multiply(X1,inverse(X0))))),
inference(forward_demodulation,[],[f1168,f244]) ).
fof(f1171,plain,
! [X0,X1] : multiply(multiply(X1,X0),multiplicative_identity) = multiply(X1,inverse(multiply(X1,inverse(X0)))),
inference(forward_demodulation,[],[f1170,f59]) ).
fof(f1172,plain,
! [X0,X1] : multiply(X1,X0) = multiply(X1,inverse(multiply(X1,inverse(X0)))),
inference(forward_demodulation,[],[f1171,f6]) ).
fof(f1173,plain,
! [X0,X1] : multiply(X1,X0) = multiply(multiply(X1,X0),inverse(multiply(X1,inverse(X0)))),
inference(backward_demodulation,[],[f1078,f1172]) ).
fof(f1174,plain,
! [X0,X1] : multiply(X1,X0) = multiply(multiply(X0,X1),inverse(multiply(X1,inverse(X0)))),
inference(backward_demodulation,[],[f1095,f1172]) ).
fof(f1177,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),add(inverse(multiply(X1,inverse(X0))),X2)) = add(multiply(X1,X0),multiply(X2,multiply(X1,X0))),
inference(backward_demodulation,[],[f1126,f1172]) ).
fof(f1212,plain,
! [X2,X0,X1] : multiply(X1,X0) = multiply(multiply(X1,X0),add(inverse(multiply(X1,inverse(X0))),X2)),
inference(forward_demodulation,[],[f1177,f161]) ).
fof(f1243,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = multiply(multiply(X1,inverse(X0)),inverse(multiply(X1,X0))),
inference(superposition,[],[f1173,f440]) ).
fof(f1247,plain,
! [X0,X1] : multiply(X1,X0) = multiply(multiply(X1,X0),inverse(multiply(inverse(X0),X1))),
inference(superposition,[],[f1173,f2]) ).
fof(f1257,plain,
! [X0,X1] : multiply(X1,X0) = multiply(X1,inverse(multiply(inverse(X0),X1))),
inference(backward_demodulation,[],[f1117,f1247]) ).
fof(f1260,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = multiply(X1,inverse(multiply(X1,X0))),
inference(backward_demodulation,[],[f1114,f1243]) ).
fof(f1279,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = multiply(X1,inverse(multiply(X0,X1))),
inference(superposition,[],[f1257,f440]) ).
fof(f1403,plain,
! [X0,X1] : add(inverse(X1),inverse(multiply(X0,X1))) = add(inverse(X1),multiply(X1,inverse(X0))),
inference(superposition,[],[f651,f1279]) ).
fof(f1408,plain,
! [X0,X1] : add(inverse(X1),inverse(multiply(X0,X1))) = add(inverse(X1),inverse(X0)),
inference(forward_demodulation,[],[f1403,f651]) ).
fof(f1507,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),add(X2,inverse(multiply(X1,inverse(X0))))) = add(multiply(X2,multiply(X0,X1)),multiply(X1,X0)),
inference(superposition,[],[f14,f1174]) ).
fof(f1513,plain,
! [X0,X1] : multiply(X1,X0) = multiply(multiply(X0,X1),multiply(X1,X0)),
inference(superposition,[],[f193,f1174]) ).
fof(f1515,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X0)),multiply(multiply(X0,X1),X2)) = multiply(inverse(multiply(X1,X0)),multiply(multiply(X0,X1),add(X2,inverse(multiply(X1,inverse(X0)))))),
inference(superposition,[],[f407,f1174]) ).
fof(f1517,plain,
! [X0,X1] : additive_identity = multiply(inverse(multiply(X0,X1)),multiply(X1,X0)),
inference(superposition,[],[f745,f1174]) ).
fof(f1521,plain,
! [X0,X1] : additive_identity = multiply(multiply(X1,X0),inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f1517,f2]) ).
fof(f1527,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),add(X2,inverse(multiply(X1,inverse(X0))))) = add(multiply(X1,X0),multiply(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f1507,f1]) ).
fof(f1562,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X0)),multiply(multiply(X0,X1),X2)) = multiply(inverse(multiply(X1,X0)),add(multiply(X1,X0),multiply(X2,multiply(X0,X1)))),
inference(backward_demodulation,[],[f1515,f1527]) ).
fof(f1589,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X0)),multiply(multiply(X0,X1),X2)) = multiply(inverse(multiply(X1,X0)),multiply(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f1562,f315]) ).
fof(f1684,plain,
! [X2,X0,X1] : add(multiply(multiply(X1,X0),X2),multiply(X1,X0)) = multiply(multiply(X1,X0),add(X2,multiply(X0,X1))),
inference(superposition,[],[f16,f1513]) ).
fof(f1691,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X0)),multiply(multiply(X0,X1),X2)) = multiply(inverse(multiply(X1,X0)),multiply(multiply(X0,X1),add(X2,multiply(X1,X0)))),
inference(superposition,[],[f407,f1513]) ).
fof(f1705,plain,
! [X2,X0,X1] : add(multiply(X1,X0),multiply(multiply(X1,X0),X2)) = multiply(multiply(X1,X0),add(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f1684,f1]) ).
fof(f1739,plain,
! [X2,X0,X1] : multiply(X1,X0) = multiply(multiply(X1,X0),add(X2,multiply(X0,X1))),
inference(forward_demodulation,[],[f1705,f99]) ).
fof(f1770,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X0)),multiply(multiply(X0,X1),X2)) = multiply(inverse(multiply(X1,X0)),multiply(X0,X1)),
inference(backward_demodulation,[],[f1691,f1739]) ).
fof(f1789,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X0)),multiply(multiply(X0,X1),X2)) = multiply(multiply(X0,X1),inverse(multiply(X1,X0))),
inference(forward_demodulation,[],[f1770,f2]) ).
fof(f1794,plain,
! [X2,X0,X1] : additive_identity = multiply(inverse(multiply(X1,X0)),multiply(multiply(X0,X1),X2)),
inference(forward_demodulation,[],[f1789,f1521]) ).
fof(f1795,plain,
! [X2,X0,X1] : additive_identity = multiply(inverse(multiply(X1,X0)),multiply(X2,multiply(X0,X1))),
inference(backward_demodulation,[],[f1589,f1794]) ).
fof(f1815,plain,
! [X0,X1] : multiply(inverse(X1),inverse(add(X1,X0))) = multiply(inverse(X1),inverse(multiply(inverse(X1),X0))),
inference(superposition,[],[f1260,f315]) ).
fof(f1817,plain,
! [X0,X1] : multiply(inverse(X0),inverse(multiply(X1,X0))) = multiply(inverse(X0),inverse(additive_identity)),
inference(superposition,[],[f1260,f746]) ).
fof(f1859,plain,
! [X0,X1] : multiply(inverse(X0),multiplicative_identity) = multiply(inverse(X0),inverse(multiply(X1,X0))),
inference(forward_demodulation,[],[f1817,f244]) ).
fof(f1861,plain,
! [X0,X1] : multiply(inverse(X1),inverse(add(X1,X0))) = multiply(inverse(X1),inverse(X0)),
inference(forward_demodulation,[],[f1815,f1260]) ).
fof(f1888,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X0),inverse(multiply(X1,X0))),
inference(forward_demodulation,[],[f1859,f6]) ).
fof(f1938,plain,
! [X0,X1] : inverse(add(X0,X1)) = multiply(inverse(add(X0,X1)),inverse(X0)),
inference(superposition,[],[f1888,f98]) ).
fof(f1974,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = add(inverse(multiply(X1,X0)),inverse(X0)),
inference(superposition,[],[f161,f1888]) ).
fof(f1986,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = add(inverse(X0),inverse(multiply(X1,X0))),
inference(forward_demodulation,[],[f1974,f1]) ).
fof(f2005,plain,
! [X0,X1] : inverse(add(X0,X1)) = multiply(inverse(X0),inverse(add(X0,X1))),
inference(forward_demodulation,[],[f1938,f2]) ).
fof(f2013,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = add(inverse(X1),inverse(X0)),
inference(backward_demodulation,[],[f1408,f1986]) ).
fof(f2027,plain,
! [X0,X1] : inverse(add(X1,X0)) = multiply(inverse(X1),inverse(X0)),
inference(backward_demodulation,[],[f1861,f2005]) ).
fof(f2344,plain,
! [X2,X0,X1] : multiply(multiply(X0,multiply(X1,X2)),inverse(inverse(multiply(X2,X1)))) = multiply(multiply(X0,multiply(X1,X2)),inverse(additive_identity)),
inference(superposition,[],[f1279,f1795]) ).
fof(f2348,plain,
! [X2,X0,X1] : multiply(multiply(X0,multiply(X1,X2)),inverse(inverse(multiply(X2,X1)))) = multiply(inverse(additive_identity),multiply(X0,multiply(X1,X2))),
inference(forward_demodulation,[],[f2344,f2]) ).
fof(f2415,plain,
! [X2,X0,X1] : multiply(multiply(X0,multiply(X1,X2)),inverse(inverse(multiply(X2,X1)))) = multiply(multiplicative_identity,multiply(X0,multiply(X1,X2))),
inference(forward_demodulation,[],[f2348,f244]) ).
fof(f2452,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,multiply(X1,X2)),inverse(inverse(multiply(X2,X1)))),
inference(forward_demodulation,[],[f2415,f59]) ).
fof(f2456,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,multiply(X1,X2)),multiply(X2,X1)),
inference(forward_demodulation,[],[f2452,f440]) ).
fof(f2458,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X2,X1),multiply(X0,multiply(X1,X2))),
inference(forward_demodulation,[],[f2456,f2]) ).
fof(f2882,plain,
! [X0,X1] : add(X0,inverse(X1)) = inverse(multiply(X1,inverse(X0))),
inference(superposition,[],[f2013,f440]) ).
fof(f2936,plain,
! [X2,X0,X1] : multiply(X1,X0) = multiply(multiply(X1,X0),add(add(X0,inverse(X1)),X2)),
inference(backward_demodulation,[],[f1212,f2882]) ).
fof(f2985,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = inverse(add(inverse(X0),X1)),
inference(superposition,[],[f2027,f440]) ).
fof(f2986,plain,
! [X0,X1] : multiply(inverse(X1),X0) = inverse(add(X1,inverse(X0))),
inference(superposition,[],[f2027,f440]) ).
fof(f3077,plain,
! [X2,X0,X1] : inverse(add(add(X1,inverse(X0)),X2)) = multiply(multiply(inverse(X1),X0),inverse(X2)),
inference(superposition,[],[f2027,f2986]) ).
fof(f3191,plain,
! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),X2) = multiply(multiply(X0,inverse(X1)),add(X2,add(inverse(X0),X1))),
inference(superposition,[],[f375,f2985]) ).
fof(f3202,plain,
! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),X2) = multiply(multiply(X0,inverse(X1)),add(X2,X1)),
inference(forward_demodulation,[],[f3191,f943]) ).
fof(f3659,plain,
! [X2,X0,X1] : multiply(multiply(X0,X2),add(inverse(X0),X1)) = multiply(multiply(X0,X2),multiply(X1,X0)),
inference(superposition,[],[f781,f445]) ).
fof(f3679,plain,
! [X2,X0,X1] : multiply(multiply(X0,X2),X1) = multiply(multiply(X0,X2),multiply(X1,X0)),
inference(forward_demodulation,[],[f3659,f781]) ).
fof(f3743,plain,
! [X2,X0,X1] : multiply(X0,X2) = multiply(X0,add(inverse(add(X1,X0)),X2)),
inference(superposition,[],[f827,f102]) ).
fof(f3759,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,X1),X3) = multiply(multiply(X2,X1),add(inverse(add(add(X1,inverse(X2)),X0)),X3)),
inference(superposition,[],[f827,f2936]) ).
fof(f3839,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,X1),X3) = multiply(multiply(X2,X1),add(multiply(multiply(inverse(X1),X2),inverse(X0)),X3)),
inference(forward_demodulation,[],[f3759,f3077]) ).
fof(f4114,plain,
! [X2,X0,X1] : multiply(multiply(X0,X2),inverse(X1)) = multiply(multiply(X0,X2),inverse(multiply(X0,X1))),
inference(superposition,[],[f779,f2013]) ).
fof(f4691,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,add(X2,X0))) = multiply(multiply(X1,X0),inverse(multiply(X1,X2))),
inference(superposition,[],[f742,f4]) ).
fof(f4701,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,add(X2,X0))) = multiply(multiply(X1,X0),inverse(X2)),
inference(forward_demodulation,[],[f4691,f4114]) ).
fof(f4716,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X0)) = multiply(multiply(X1,X0),inverse(X2)),
inference(backward_demodulation,[],[f718,f4701]) ).
fof(f4819,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(X1),X0)),multiply(inverse(X1),X2)) = multiply(multiply(inverse(X1),X2),inverse(add(X0,X1))),
inference(superposition,[],[f4716,f375]) ).
fof(f4905,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),X2),inverse(X0)) = multiply(multiply(inverse(X1),X2),inverse(add(X0,X1))),
inference(forward_demodulation,[],[f4819,f4716]) ).
fof(f5786,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = multiply(multiply(X2,X1),multiply(multiply(X1,X0),X2)),
inference(superposition,[],[f2458,f951]) ).
fof(f5839,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = multiply(multiply(X2,X1),multiply(X1,X0)),
inference(forward_demodulation,[],[f5786,f3679]) ).
fof(f5929,plain,
! [X2,X0,X1] : multiply(multiply(add(X0,X1),X2),inverse(X0)) = multiply(multiply(X1,inverse(X0)),multiply(add(X0,X1),X2)),
inference(superposition,[],[f5839,f742]) ).
fof(f5943,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(multiply(X2,X1),multiply(X0,X1)),
inference(superposition,[],[f5839,f197]) ).
fof(f5983,plain,
! [X2,X3,X0,X1] : add(multiply(multiply(X2,X1),X0),multiply(multiply(X2,X1),X3)) = multiply(multiply(X2,X1),add(multiply(X0,X2),X3)),
inference(superposition,[],[f14,f5839]) ).
fof(f6035,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,X1),add(X0,X3)) = multiply(multiply(X2,X1),add(multiply(X0,X2),X3)),
inference(forward_demodulation,[],[f5983,f4]) ).
fof(f6059,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(add(X0,X1),X2)) = multiply(multiply(X1,inverse(X0)),multiply(add(X0,X1),X2)),
inference(forward_demodulation,[],[f5929,f2]) ).
fof(f6110,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X1,X2)) = multiply(multiply(X1,inverse(X0)),multiply(add(X0,X1),X2)),
inference(forward_demodulation,[],[f6059,f1073]) ).
fof(f6126,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(multiply(X2,X0),multiply(X1,X2)),
inference(superposition,[],[f5943,f2]) ).
fof(f6155,plain,
! [X2,X0,X1] : multiply(multiply(X2,add(X0,X1)),inverse(X1)) = multiply(multiply(inverse(X1),X0),multiply(X2,add(X0,X1))),
inference(superposition,[],[f5943,f375]) ).
fof(f6191,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),X0),X2) = multiply(multiply(X2,add(X0,X1)),multiply(inverse(X1),X0)),
inference(superposition,[],[f5943,f375]) ).
fof(f6274,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),X0),X2) = multiply(multiply(inverse(X1),X0),multiply(X2,add(X0,X1))),
inference(forward_demodulation,[],[f6191,f2]) ).
fof(f6297,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(X2,add(X0,X1))) = multiply(multiply(inverse(X1),X0),multiply(X2,add(X0,X1))),
inference(forward_demodulation,[],[f6155,f2]) ).
fof(f6338,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),X0),X2) = multiply(inverse(X1),multiply(X2,add(X0,X1))),
inference(forward_demodulation,[],[f6297,f6274]) ).
fof(f6368,plain,
! [X2,X0,X1] : multiply(multiply(X2,X1),add(inverse(X1),X0)) = multiply(multiply(X1,X0),multiply(X2,X1)),
inference(superposition,[],[f6126,f65]) ).
fof(f6433,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X0)),X2) = multiply(multiply(add(X0,X1),X2),multiply(X1,inverse(X0))),
inference(superposition,[],[f6126,f742]) ).
fof(f6436,plain,
! [X2,X0,X1] : multiply(inverse(add(X1,X0)),X2) = multiply(multiply(inverse(X0),X2),inverse(add(X1,X0))),
inference(superposition,[],[f6126,f2027]) ).
fof(f6514,plain,
! [X2,X0,X1] : multiply(inverse(add(X0,X1)),X2) = multiply(multiply(inverse(X1),X2),inverse(X0)),
inference(backward_demodulation,[],[f4905,f6436]) ).
fof(f6517,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X0)),X2) = multiply(multiply(X1,inverse(X0)),multiply(add(X0,X1),X2)),
inference(forward_demodulation,[],[f6433,f2]) ).
fof(f6557,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = multiply(multiply(X2,X1),add(inverse(X1),X0)),
inference(forward_demodulation,[],[f6368,f3679]) ).
fof(f6582,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,X1),X3) = multiply(multiply(X2,X1),add(multiply(inverse(add(X0,X1)),X2),X3)),
inference(backward_demodulation,[],[f3839,f6514]) ).
fof(f6593,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X0)),X2) = multiply(inverse(X0),multiply(X1,X2)),
inference(forward_demodulation,[],[f6517,f6110]) ).
fof(f6624,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,X1),X3) = multiply(multiply(X2,X1),add(inverse(add(X0,X1)),X3)),
inference(forward_demodulation,[],[f6582,f6035]) ).
fof(f6630,plain,
! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),add(X2,X1)) = multiply(inverse(X1),multiply(X0,X2)),
inference(backward_demodulation,[],[f3202,f6593]) ).
fof(f6732,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(X0,X2)) = multiply(inverse(X1),multiply(X0,add(X2,X1))),
inference(forward_demodulation,[],[f6630,f6593]) ).
fof(f6802,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),X0),X2) = multiply(inverse(X1),multiply(X2,X0)),
inference(backward_demodulation,[],[f6338,f6732]) ).
fof(f6946,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X2,X1)),
inference(superposition,[],[f6802,f440]) ).
fof(f7263,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X0)) = multiply(multiply(X2,X1),add(inverse(X1),X0)),
inference(backward_demodulation,[],[f6557,f6946]) ).
fof(f7270,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,X1),add(inverse(add(X0,X1)),X3)) = multiply(X2,multiply(X3,X1)),
inference(backward_demodulation,[],[f6624,f6946]) ).
fof(f7510,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X3,X1)) = multiply(X2,multiply(add(inverse(add(X0,X1)),X3),X1)),
inference(forward_demodulation,[],[f7270,f6946]) ).
fof(f7515,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X0)) = multiply(X2,multiply(add(inverse(X1),X0),X1)),
inference(forward_demodulation,[],[f7263,f6946]) ).
fof(f7729,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X3,X1)) = multiply(X2,multiply(X1,add(inverse(add(X0,X1)),X3))),
inference(forward_demodulation,[],[f7510,f2]) ).
fof(f7733,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X0)) = multiply(X2,multiply(X1,add(inverse(X1),X0))),
inference(forward_demodulation,[],[f7515,f2]) ).
fof(f7907,plain,
! [X2,X3,X1] : multiply(X2,multiply(X1,X3)) = multiply(X2,multiply(X3,X1)),
inference(forward_demodulation,[],[f7729,f3743]) ).
fof(f7910,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[],[f7733,f65]) ).
fof(f8048,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(c,b)),
inference(backward_demodulation,[],[f12,f7910]) ).
fof(f8148,plain,
$false,
inference(forward_subsumption_resolution,[],[f8048,f7907]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO007-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.16 % Computer : n011.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 21:03:31 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 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
% 7.49/1.77 % (3784594)Detected a unit-equality problem, will run specialized UEQ schedule.
% 7.49/1.77 % (3784602)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=585132476:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 7.49/1.77 % (3784602)Instruction limit reached!
% 7.49/1.77 % (3784602)------------------------------
% 7.49/1.77 % (3784602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.77 % (3784602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.77 % (3784602)CaDiCaL version: 2.1.3
% 7.49/1.77 % (3784602)Termination reason: Instruction limit
% 7.49/1.77 % (3784602)Termination phase: Saturation
% 7.49/1.77 % (3784602)Time elapsed: 0.048 s
% 7.49/1.77 % (3784602)Peak memory usage: 89 MB
% 7.49/1.77 % (3784602)Instructions burned: 138 (million)
% 7.49/1.77 % (3784601)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3153893561:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 7.49/1.77 % (3784600)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=2206576436:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 7.49/1.77 % (3784599)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=469765159:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 7.49/1.77 % (3784605)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2955939876:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 7.49/1.77 % (3784603)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1829569919:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 7.49/1.77 % (3784604)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1628230624:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 7.49/1.77 % (3784612)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2122370245:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 7.49/1.77 % (3784603)Instruction limit reached!
% 7.49/1.77 % (3784603)------------------------------
% 7.49/1.77 % (3784603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.77 % (3784603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.77 % (3784603)CaDiCaL version: 2.1.3
% 7.49/1.77 % (3784603)Termination reason: Instruction limit
% 7.49/1.77 % (3784603)Termination phase: Saturation
% 7.49/1.77 % (3784603)Time elapsed: 0.094 s
% 7.49/1.77 % (3784603)Peak memory usage: 88 MB
% 7.49/1.77 % (3784603)Instructions burned: 183 (million)
% 7.49/1.77 % (3784604)Instruction limit reached!
% 7.49/1.77 % (3784604)------------------------------
% 7.49/1.77 % (3784604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.77 % (3784604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.77 % (3784604)CaDiCaL version: 2.1.3
% 7.49/1.77 % (3784604)Termination reason: Instruction limit
% 7.49/1.77 % (3784604)Termination phase: Saturation
% 7.49/1.77 % (3784604)Time elapsed: 0.171 s
% 7.49/1.77 % (3784604)Peak memory usage: 90 MB
% 7.49/1.77 % (3784604)Instructions burned: 259 (million)
% 7.49/1.77 % (3784615)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2981560343:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 7.49/1.77 % (3784616)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1297196625:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 7.49/1.77 % (3784616)Instruction limit reached!
% 7.49/1.77 % (3784616)------------------------------
% 7.49/1.77 % (3784616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.77 % (3784616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.77 % (3784616)CaDiCaL version: 2.1.3
% 7.49/1.77 % (3784616)Termination reason: Instruction limit
% 7.49/1.77 % (3784616)Termination phase: Saturation
% 7.49/1.77 % (3784616)Time elapsed: 0.105 s
% 7.49/1.77 % (3784616)Peak memory usage: 89 MB
% 7.49/1.77 % (3784616)Instructions burned: 215 (million)
% 7.49/1.77 % (3784619)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=75902271: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)
% 7.49/1.77 % (3784605)Instruction limit reached!
% 7.49/1.77 % (3784605)------------------------------
% 7.49/1.77 % (3784605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.77 % (3784605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.77 % (3784605)CaDiCaL version: 2.1.3
% 7.49/1.77 % (3784605)Termination reason: Instruction limit
% 7.49/1.77 % (3784605)Termination phase: Saturation
% 7.49/1.77 % (3784605)Time elapsed: 0.635 s
% 7.49/1.77 % (3784605)Peak memory usage: 98 MB
% 7.49/1.77 % (3784605)Instructions burned: 1188 (million)
% 7.49/1.77 % (3784619)Instruction limit reached!
% 7.49/1.77 % (3784619)------------------------------
% 7.49/1.77 % (3784619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/1.77 % (3784619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.77 % (3784619)CaDiCaL version: 2.1.3
% 7.49/1.77 % (3784619)Termination reason: Instruction limit
% 7.49/1.77 % (3784619)Termination phase: Saturation
% 7.49/1.77 % (3784619)Time elapsed: 0.183 s
% 7.49/1.77 % (3784619)Peak memory usage: 92 MB
% 7.49/1.77 % (3784619)Instructions burned: 320 (million)
% 7.49/1.77 % (3784621)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=436749313:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 7.49/1.77 % (3784612)First to succeed.
% 7.49/1.77 % (3784612)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3784594"
% 7.49/1.77 % (3784600)Also succeeded, but the first one will report.
% 7.49/1.77 % (3784622)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=706461008:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 7.49/1.77 % (3784612)Refutation found. Thanks to Tanya!
% 7.49/1.77 % SZS status Unsatisfiable for theBenchmark
% 7.49/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 8.33/1.86 % (3784612)------------------------------
% 8.33/1.86 % (3784612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.33/1.86 % (3784612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.33/1.86 % (3784612)CaDiCaL version: 2.1.3
% 8.33/1.86 % (3784612)Termination reason: Refutation
% 8.33/1.86 % (3784612)Time elapsed: 0.705 s
% 8.33/1.86 % (3784612)Peak memory usage: 140 MB
% 8.33/1.86 % (3784612)Instructions burned: 1953 (million)
% 8.33/1.86 % (3784612)------------------------------
% 8.33/1.86 % (3784612)------------------------------
% 8.33/1.86 % (3784594)Success in time 1.124 s
% 8.33/1.86 % Vampire exiting
%------------------------------------------------------------------------------