%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE087+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 11:40:18 AM UTC 2026
% Result : Theorem 35.09s 6.24s
% Output : Refutation 38.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 15
% Syntax : Number of formulae : 223 ( 223 unt; 0 def)
% Number of atoms : 223 ( 222 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 448 ( 446 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f14,axiom,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).
fof(f21,conjecture,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f22,negated_conjecture,
~ ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f23,plain,
? [X0,X1] : domain(addition(X0,X1)) != addition(domain(X0),domain(X1)),
inference(ennf_transformation,[],[f22]) ).
fof(f24,plain,
domain(addition(sK0,sK1)) != addition(domain(sK0),domain(sK1)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f23]) ).
fof(f25,plain,
domain(addition(sK0,sK1)) != addition(domain(sK0),domain(sK1)),
inference(cnf_transformation,[],[f24]) ).
fof(f26,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f28,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f29,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f30,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f31,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f34,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f35,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(cnf_transformation,[],[f14]) ).
fof(f36,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f37,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f39,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f40,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f42,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f43,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f44,plain,
antidomain(antidomain(addition(sK0,sK1))) != addition(antidomain(antidomain(sK0)),antidomain(antidomain(sK1))),
inference(definition_unfolding,[],[f25,f37,f37,f37]) ).
fof(f48,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f31,f34]) ).
fof(f51,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f30,f29]) ).
fof(f58,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f31,f30]) ).
fof(f68,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f31,f36]) ).
fof(f71,plain,
zero = antidomain(one),
inference(superposition,[],[f39,f43]) ).
fof(f73,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f26,f42]) ).
fof(f74,plain,
! [X0,X1] : multiplication(addition(antidomain(X0),X1),X0) = addition(zero,multiplication(X1,X0)),
inference(superposition,[],[f26,f39]) ).
fof(f77,plain,
! [X0,X1] : multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f26,f39]) ).
fof(f87,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f77,f36]) ).
fof(f90,plain,
! [X0,X1] : multiplication(X1,X0) = multiplication(addition(antidomain(X0),X1),X0),
inference(forward_demodulation,[],[f74,f68]) ).
fof(f94,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f87,f34]) ).
fof(f95,plain,
! [X0] : multiplication(antidomain(X0),antidomain(X0)) = multiplication(one,antidomain(X0)),
inference(superposition,[],[f87,f48]) ).
fof(f104,plain,
! [X0] : antidomain(X0) = multiplication(antidomain(X0),antidomain(X0)),
inference(forward_demodulation,[],[f95,f42]) ).
fof(f105,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f94,f42]) ).
fof(f129,plain,
one = antidomain(antidomain(one)),
inference(superposition,[],[f43,f105]) ).
fof(f130,plain,
! [X0,X1] : addition(multiplication(X1,X0),X0) = multiplication(addition(X1,antidomain(antidomain(X0))),X0),
inference(superposition,[],[f26,f105]) ).
fof(f133,plain,
! [X0,X1] : addition(X0,multiplication(X1,X0)) = multiplication(addition(X1,antidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f130,f31]) ).
fof(f134,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f129,f71]) ).
fof(f136,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = multiplication(addition(X1,antidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f133,f73]) ).
fof(f155,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),multiplication(X0,antidomain(antidomain(X1)))),
inference(superposition,[],[f87,f35]) ).
fof(f157,plain,
! [X0,X1] : zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f155,f39]) ).
fof(f223,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1)),
inference(superposition,[],[f27,f39]) ).
fof(f232,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f27,f39]) ).
fof(f246,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f30,f27]) ).
fof(f258,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f232,f36]) ).
fof(f262,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1),
inference(forward_demodulation,[],[f223,f68]) ).
fof(f269,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X1,X2)),multiplication(X0,X2)) = multiplication(antidomain(multiplication(X1,X2)),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f258,f26]) ).
fof(f270,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,X1)) = multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f258,f27]) ).
fof(f272,plain,
! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f258,f48]) ).
fof(f273,plain,
! [X0,X1] : multiplication(antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),antidomain(multiplication(X0,X1))) = multiplication(antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(superposition,[],[f258,f35]) ).
fof(f283,plain,
! [X0,X1] : zero = multiplication(antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f273,f39]) ).
fof(f284,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f272,f43]) ).
fof(f288,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f284,f105]) ).
fof(f306,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(antidomain(antidomain(X0)),X1)) = multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(one,X1)),
inference(superposition,[],[f269,f34]) ).
fof(f307,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),multiplication(antidomain(X0),X1)) = multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),multiplication(one,X1)),
inference(superposition,[],[f269,f48]) ).
fof(f324,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),multiplication(antidomain(X0),X1)) = multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),X1),
inference(forward_demodulation,[],[f307,f42]) ).
fof(f325,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(antidomain(antidomain(X0)),X1)) = multiplication(antidomain(multiplication(antidomain(X0),X1)),X1),
inference(forward_demodulation,[],[f306,f42]) ).
fof(f376,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,one)),
inference(superposition,[],[f270,f34]) ).
fof(f397,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(X1))),X0),
inference(forward_demodulation,[],[f376,f43]) ).
fof(f630,plain,
! [X0] : one = addition(antidomain(X0),one),
inference(superposition,[],[f51,f48]) ).
fof(f634,plain,
! [X0,X1] : multiplication(antidomain(addition(X0,X1)),X0) = multiplication(antidomain(addition(X0,X1)),addition(X0,X1)),
inference(superposition,[],[f258,f51]) ).
fof(f641,plain,
! [X0,X1] : zero = multiplication(antidomain(addition(X0,X1)),X0),
inference(forward_demodulation,[],[f634,f39]) ).
fof(f644,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f630,f31]) ).
fof(f962,plain,
! [X0,X1] : multiplication(zero,X1) = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(superposition,[],[f28,f39]) ).
fof(f964,plain,
! [X2,X0,X1] : multiplication(multiplication(X0,X1),X2) = multiplication(addition(antidomain(X1),X0),multiplication(X1,X2)),
inference(superposition,[],[f28,f90]) ).
fof(f997,plain,
! [X2,X0,X1] : antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2))))) = addition(antidomain(multiplication(multiplication(X0,X1),X2)),antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2)))))),
inference(superposition,[],[f35,f28]) ).
fof(f1001,plain,
! [X2,X0,X1] : antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2))))) = addition(antidomain(multiplication(X0,multiplication(X1,X2))),antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2)))))),
inference(forward_demodulation,[],[f997,f28]) ).
fof(f1024,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(addition(antidomain(X1),X0),multiplication(X1,X2)),
inference(forward_demodulation,[],[f964,f28]) ).
fof(f1025,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(forward_demodulation,[],[f962,f40]) ).
fof(f1088,plain,
! [X2,X0,X1] : antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2))))) = addition(antidomain(multiplication(addition(antidomain(multiplication(X1,antidomain(antidomain(X2)))),X0),multiplication(X1,X2))),antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2)))))),
inference(superposition,[],[f1001,f90]) ).
fof(f1106,plain,
! [X2,X0,X1] : antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2))))) = addition(antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2))))),antidomain(multiplication(addition(antidomain(multiplication(X1,antidomain(antidomain(X2)))),X0),multiplication(X1,X2)))),
inference(forward_demodulation,[],[f1088,f31]) ).
fof(f1449,plain,
! [X0,X1] : zero = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1))))),
inference(superposition,[],[f157,f1025]) ).
fof(f1457,plain,
! [X0,X1] : zero = multiplication(one,multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1))))),
inference(forward_demodulation,[],[f1449,f134]) ).
fof(f1474,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f1457,f42]) ).
fof(f1706,plain,
! [X0,X1] : multiplication(antidomain(zero),antidomain(X0)) = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(antidomain(multiplication(X0,X1)))))),
inference(superposition,[],[f397,f1474]) ).
fof(f1738,plain,
! [X0,X1] : multiplication(antidomain(zero),antidomain(X0)) = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f1706,f288]) ).
fof(f1762,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(one,multiplication(antidomain(X0),antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f1738,f134]) ).
fof(f1777,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1762,f42]) ).
fof(f1779,plain,
! [X0,X1] : antidomain(X0) = multiplication(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1777,f42]) ).
fof(f1818,plain,
! [X0,X1] : multiplication(addition(one,antidomain(X0)),antidomain(multiplication(X0,X1))) = addition(antidomain(multiplication(X0,X1)),antidomain(X0)),
inference(superposition,[],[f73,f1779]) ).
fof(f1831,plain,
! [X0,X1] : multiplication(addition(one,antidomain(X0)),antidomain(multiplication(X0,X1))) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1818,f31]) ).
fof(f1851,plain,
! [X0,X1] : addition(antidomain(X0),antidomain(multiplication(X0,X1))) = multiplication(one,antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1831,f644]) ).
fof(f1855,plain,
! [X0,X1] : antidomain(multiplication(X0,X1)) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1851,f42]) ).
fof(f1856,plain,
! [X0,X1] : antidomain(multiplication(antidomain(antidomain(X0)),X1)) = addition(antidomain(X0),antidomain(multiplication(antidomain(antidomain(X0)),X1))),
inference(superposition,[],[f1855,f288]) ).
fof(f1865,plain,
! [X2,X0,X1] : antidomain(multiplication(X0,multiplication(X1,X2))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,multiplication(X1,X2)))),
inference(superposition,[],[f1855,f28]) ).
fof(f1967,plain,
! [X0,X1] : multiplication(antidomain(zero),multiplication(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1)))))),antidomain(multiplication(X0,X1)))) = multiplication(antidomain(zero),antidomain(multiplication(X0,X1))),
inference(superposition,[],[f325,f283]) ).
fof(f2001,plain,
! [X0,X1] : multiplication(one,antidomain(multiplication(X0,X1))) = multiplication(one,multiplication(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1)))))),antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f1967,f134]) ).
fof(f2039,plain,
! [X0,X1] : multiplication(one,antidomain(multiplication(X0,X1))) = multiplication(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1)))))),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f2001,f42]) ).
fof(f2061,plain,
! [X0,X1] : multiplication(one,antidomain(multiplication(X0,X1))) = multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f2039,f288]) ).
fof(f2072,plain,
! [X0,X1] : antidomain(multiplication(X0,X1)) = multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f2061,f42]) ).
fof(f2585,plain,
! [X2,X0,X1] : addition(multiplication(X0,addition(X1,one)),X2) = addition(multiplication(X0,X1),addition(X0,X2)),
inference(superposition,[],[f246,f43]) ).
fof(f2597,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X3,X2)),multiplication(X1,X2)) = addition(multiplication(X0,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f246,f26]) ).
fof(f2662,plain,
! [X2,X0,X1] : addition(multiplication(X0,addition(X1,one)),X2) = addition(X0,addition(X2,multiplication(X0,X1))),
inference(forward_demodulation,[],[f2585,f58]) ).
fof(f2812,plain,
! [X0,X1] : multiplication(addition(one,antidomain(multiplication(antidomain(antidomain(X0)),X1))),multiplication(antidomain(X0),X1)) = addition(multiplication(antidomain(X0),X1),multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),X1)),
inference(superposition,[],[f73,f324]) ).
fof(f2831,plain,
! [X0,X1] : multiplication(addition(one,antidomain(multiplication(antidomain(antidomain(X0)),X1))),multiplication(antidomain(X0),X1)) = multiplication(addition(antidomain(X0),antidomain(multiplication(antidomain(antidomain(X0)),X1))),X1),
inference(forward_demodulation,[],[f2812,f26]) ).
fof(f2858,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),X1) = multiplication(addition(one,antidomain(multiplication(antidomain(antidomain(X0)),X1))),multiplication(antidomain(X0),X1)),
inference(forward_demodulation,[],[f2831,f1856]) ).
fof(f2874,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),X1) = multiplication(one,multiplication(antidomain(X0),X1)),
inference(forward_demodulation,[],[f2858,f644]) ).
fof(f2881,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),X1),
inference(forward_demodulation,[],[f2874,f42]) ).
fof(f2911,plain,
! [X2,X0,X1] : multiplication(multiplication(antidomain(X0),X1),X2) = multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),multiplication(X1,X2)),
inference(superposition,[],[f28,f2881]) ).
fof(f2951,plain,
! [X2,X0,X1] : multiplication(antidomain(X0),multiplication(X1,X2)) = multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),multiplication(X1,X2)),
inference(forward_demodulation,[],[f2911,f28]) ).
fof(f3165,plain,
! [X0,X1] : multiplication(antidomain(zero),X0) = multiplication(antidomain(zero),multiplication(antidomain(antidomain(addition(X0,X1))),X0)),
inference(superposition,[],[f325,f641]) ).
fof(f3231,plain,
! [X0,X1] : multiplication(one,X0) = multiplication(one,multiplication(antidomain(antidomain(addition(X0,X1))),X0)),
inference(forward_demodulation,[],[f3165,f134]) ).
fof(f3259,plain,
! [X0,X1] : multiplication(one,X0) = multiplication(antidomain(antidomain(addition(X0,X1))),X0),
inference(forward_demodulation,[],[f3231,f42]) ).
fof(f3271,plain,
! [X0,X1] : multiplication(antidomain(antidomain(addition(X0,X1))),X0) = X0,
inference(forward_demodulation,[],[f3259,f42]) ).
fof(f3277,plain,
! [X0,X1] : multiplication(antidomain(antidomain(addition(X0,X1))),X1) = X1,
inference(superposition,[],[f3271,f31]) ).
fof(f3324,plain,
! [X0,X1] : antidomain(X0) = addition(antidomain(antidomain(antidomain(addition(X0,X1)))),antidomain(X0)),
inference(superposition,[],[f1855,f3271]) ).
fof(f3346,plain,
! [X0,X1] : antidomain(X0) = addition(antidomain(X0),antidomain(antidomain(antidomain(addition(X0,X1))))),
inference(forward_demodulation,[],[f3324,f31]) ).
fof(f3371,plain,
! [X0,X1] : antidomain(X0) = addition(antidomain(X0),antidomain(addition(X0,X1))),
inference(forward_demodulation,[],[f3346,f288]) ).
fof(f3385,plain,
! [X0,X1] : antidomain(X1) = addition(antidomain(X1),antidomain(addition(X0,X1))),
inference(superposition,[],[f3371,f31]) ).
fof(f3801,plain,
! [X0,X1] : antidomain(addition(X0,X1)) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(addition(X0,X1))),
inference(superposition,[],[f3277,f3371]) ).
fof(f3802,plain,
! [X0,X1] : antidomain(addition(X1,X0)) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(addition(X1,X0))),
inference(superposition,[],[f3277,f3385]) ).
fof(f3875,plain,
! [X0,X1] : antidomain(addition(X1,X0)) = multiplication(antidomain(X0),antidomain(addition(X1,X0))),
inference(forward_demodulation,[],[f3802,f288]) ).
fof(f3876,plain,
! [X0,X1] : antidomain(addition(X0,X1)) = multiplication(antidomain(X0),antidomain(addition(X0,X1))),
inference(forward_demodulation,[],[f3801,f288]) ).
fof(f5243,plain,
! [X0,X1] : antidomain(multiplication(X1,antidomain(antidomain(X0)))) = addition(antidomain(multiplication(X1,antidomain(antidomain(X0)))),antidomain(multiplication(addition(antidomain(antidomain(antidomain(X0))),X1),multiplication(antidomain(antidomain(X0)),X0)))),
inference(superposition,[],[f1106,f104]) ).
fof(f5421,plain,
! [X0,X1] : antidomain(multiplication(X1,antidomain(antidomain(X0)))) = addition(antidomain(multiplication(X1,antidomain(antidomain(X0)))),antidomain(multiplication(X1,multiplication(antidomain(antidomain(X0)),X0)))),
inference(forward_demodulation,[],[f5243,f1024]) ).
fof(f5481,plain,
! [X0,X1] : antidomain(multiplication(X1,antidomain(antidomain(X0)))) = antidomain(multiplication(X1,multiplication(antidomain(antidomain(X0)),X0))),
inference(forward_demodulation,[],[f5421,f1865]) ).
fof(f5521,plain,
! [X0,X1] : antidomain(multiplication(X1,antidomain(antidomain(X0)))) = antidomain(multiplication(X1,X0)),
inference(forward_demodulation,[],[f5481,f105]) ).
fof(f6184,plain,
! [X2,X0,X1] : addition(multiplication(X0,one),multiplication(X2,antidomain(X1))) = addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(addition(X0,X2),antidomain(X1))),
inference(superposition,[],[f2597,f34]) ).
fof(f6545,plain,
! [X2,X0,X1] : addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(addition(X0,X2),antidomain(X1))) = addition(X0,multiplication(X2,antidomain(X1))),
inference(forward_demodulation,[],[f6184,f43]) ).
fof(f6715,plain,
! [X2,X0,X1] : addition(addition(antidomain(antidomain(antidomain(X1))),X0),multiplication(X2,antidomain(X1))) = addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(addition(addition(antidomain(antidomain(antidomain(X1))),X0),X2),antidomain(X1))),
inference(superposition,[],[f6545,f90]) ).
fof(f6732,plain,
! [X2,X3,X0,X1] : addition(X1,multiplication(addition(X2,X0),antidomain(X3))) = addition(multiplication(X1,antidomain(antidomain(X3))),multiplication(addition(X0,addition(X1,X2)),antidomain(X3))),
inference(superposition,[],[f6545,f58]) ).
fof(f6747,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1))),multiplication(one,antidomain(X1))),
inference(superposition,[],[f6545,f34]) ).
fof(f6831,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(multiplication(one,antidomain(X1)),multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f6747,f31]) ).
fof(f6853,plain,
! [X2,X0,X1] : addition(addition(antidomain(antidomain(antidomain(X1))),X0),multiplication(X2,antidomain(X1))) = addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(addition(antidomain(antidomain(antidomain(X1))),addition(X0,X2)),antidomain(X1))),
inference(forward_demodulation,[],[f6715,f30]) ).
fof(f6879,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(antidomain(X1),multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f6831,f42]) ).
fof(f6895,plain,
! [X2,X0,X1] : addition(addition(antidomain(antidomain(antidomain(X1))),X0),multiplication(X2,antidomain(X1))) = addition(X0,multiplication(addition(X2,antidomain(antidomain(antidomain(X1)))),antidomain(X1))),
inference(forward_demodulation,[],[f6853,f6732]) ).
fof(f6922,plain,
! [X2,X0,X1] : addition(addition(antidomain(antidomain(antidomain(X1))),X0),multiplication(X2,antidomain(X1))) = addition(X0,multiplication(addition(one,X2),antidomain(X1))),
inference(forward_demodulation,[],[f6895,f136]) ).
fof(f6944,plain,
! [X2,X0,X1] : addition(X0,multiplication(addition(one,X2),antidomain(X1))) = addition(antidomain(antidomain(antidomain(X1))),addition(X0,multiplication(X2,antidomain(X1)))),
inference(forward_demodulation,[],[f6922,f30]) ).
fof(f6960,plain,
! [X2,X0,X1] : addition(X0,multiplication(addition(one,X2),antidomain(X1))) = addition(antidomain(X1),addition(X0,multiplication(X2,antidomain(X1)))),
inference(forward_demodulation,[],[f6944,f288]) ).
fof(f7013,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X1)),antidomain(antidomain(X0)))) = addition(antidomain(antidomain(X1)),addition(antidomain(X0),multiplication(antidomain(antidomain(X1)),antidomain(antidomain(X0))))),
inference(superposition,[],[f51,f6879]) ).
fof(f7046,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(antidomain(X1),addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1)))),
inference(superposition,[],[f51,f6879]) ).
fof(f7086,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(antidomain(antidomain(X0)),multiplication(addition(one,antidomain(X0)),antidomain(X1))),
inference(forward_demodulation,[],[f7046,f6960]) ).
fof(f7106,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X1)),antidomain(antidomain(X0)))) = addition(multiplication(antidomain(antidomain(X1)),addition(antidomain(antidomain(X0)),one)),antidomain(X0)),
inference(forward_demodulation,[],[f7013,f2662]) ).
fof(f7140,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(antidomain(antidomain(X0)),multiplication(one,antidomain(X1))),
inference(forward_demodulation,[],[f7086,f644]) ).
fof(f7147,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X1)),antidomain(antidomain(X0)))) = addition(antidomain(X0),multiplication(antidomain(antidomain(X1)),addition(antidomain(antidomain(X0)),one))),
inference(forward_demodulation,[],[f7106,f31]) ).
fof(f7175,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(antidomain(antidomain(X0)),antidomain(X1)),
inference(forward_demodulation,[],[f7140,f42]) ).
fof(f7179,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X1)),antidomain(antidomain(X0)))) = addition(antidomain(X0),multiplication(antidomain(antidomain(X1)),addition(one,antidomain(antidomain(X0))))),
inference(forward_demodulation,[],[f7147,f31]) ).
fof(f7206,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X1)),antidomain(antidomain(X0)))) = addition(antidomain(X0),multiplication(antidomain(antidomain(X1)),one)),
inference(forward_demodulation,[],[f7179,f644]) ).
fof(f7222,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X1)),antidomain(antidomain(X0)))) = addition(antidomain(X0),antidomain(antidomain(X1))),
inference(forward_demodulation,[],[f7206,f43]) ).
fof(f7223,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),antidomain(X1))) = addition(antidomain(X0),antidomain(X1)),
inference(superposition,[],[f7175,f288]) ).
fof(f7257,plain,
! [X0,X1] : multiplication(multiplication(antidomain(X0),antidomain(X1)),antidomain(X0)) = multiplication(addition(antidomain(antidomain(X0)),antidomain(X1)),antidomain(X0)),
inference(superposition,[],[f90,f7175]) ).
fof(f7296,plain,
! [X0,X1] : multiplication(antidomain(X1),antidomain(X0)) = multiplication(multiplication(antidomain(X0),antidomain(X1)),antidomain(X0)),
inference(forward_demodulation,[],[f7257,f90]) ).
fof(f7322,plain,
! [X0,X1] : multiplication(antidomain(X1),antidomain(X0)) = multiplication(antidomain(X0),multiplication(antidomain(X1),antidomain(X0))),
inference(forward_demodulation,[],[f7296,f28]) ).
fof(f7462,plain,
! [X0,X1] : addition(antidomain(X1),multiplication(antidomain(X0),antidomain(antidomain(X1)))) = addition(antidomain(X1),antidomain(X0)),
inference(superposition,[],[f7222,f288]) ).
fof(f7498,plain,
! [X0,X1] : multiplication(antidomain(antidomain(X0)),multiplication(antidomain(antidomain(X1)),antidomain(antidomain(X0)))) = multiplication(antidomain(antidomain(X0)),addition(antidomain(X0),antidomain(antidomain(X1)))),
inference(superposition,[],[f262,f7222]) ).
fof(f7526,plain,
! [X0,X1] : multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1))) = multiplication(antidomain(antidomain(X0)),multiplication(antidomain(antidomain(X1)),antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f7498,f262]) ).
fof(f7551,plain,
! [X0,X1] : multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1))) = multiplication(antidomain(antidomain(X1)),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f7526,f7322]) ).
fof(f7591,plain,
! [X0,X1] : multiplication(antidomain(X0),antidomain(antidomain(X1))) = multiplication(antidomain(antidomain(X1)),antidomain(X0)),
inference(superposition,[],[f7551,f288]) ).
fof(f7889,plain,
! [X0,X1] : multiplication(antidomain(X0),antidomain(X1)) = multiplication(antidomain(X1),antidomain(X0)),
inference(superposition,[],[f7591,f288]) ).
fof(f7923,plain,
! [X0,X1] : antidomain(multiplication(antidomain(antidomain(X0)),antidomain(X1))) = antidomain(multiplication(antidomain(X1),X0)),
inference(superposition,[],[f5521,f7591]) ).
fof(f7925,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(X1))),antidomain(X1)) = multiplication(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(X1))),multiplication(antidomain(X1),antidomain(antidomain(antidomain(X0))))),
inference(superposition,[],[f397,f7591]) ).
fof(f7990,plain,
! [X0,X1] : multiplication(antidomain(X1),antidomain(X0)) = multiplication(antidomain(multiplication(antidomain(X0),antidomain(antidomain(X1)))),antidomain(X0)),
inference(superposition,[],[f2881,f7591]) ).
fof(f8043,plain,
! [X0,X1] : multiplication(antidomain(X1),antidomain(X0)) = multiplication(antidomain(multiplication(antidomain(X0),X1)),antidomain(X0)),
inference(forward_demodulation,[],[f7990,f5521]) ).
fof(f8077,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(X1))),antidomain(X1)) = multiplication(antidomain(X0),multiplication(antidomain(X1),antidomain(antidomain(antidomain(X0))))),
inference(forward_demodulation,[],[f7925,f2951]) ).
fof(f8109,plain,
! [X0,X1] : multiplication(antidomain(X0),antidomain(multiplication(antidomain(X0),X1))) = multiplication(antidomain(X1),antidomain(X0)),
inference(forward_demodulation,[],[f8043,f7889]) ).
fof(f8130,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(X1))),antidomain(X1)) = multiplication(antidomain(X0),multiplication(antidomain(X1),antidomain(X0))),
inference(forward_demodulation,[],[f8077,f288]) ).
fof(f8155,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(X1))),antidomain(X1)) = multiplication(antidomain(X1),antidomain(X0)),
inference(forward_demodulation,[],[f8130,f7322]) ).
fof(f8172,plain,
! [X0,X1] : multiplication(antidomain(X1),antidomain(X0)) = multiplication(antidomain(X1),antidomain(multiplication(antidomain(antidomain(X0)),antidomain(X1)))),
inference(forward_demodulation,[],[f8155,f7889]) ).
fof(f8181,plain,
! [X0,X1] : multiplication(antidomain(X1),antidomain(X0)) = multiplication(antidomain(X1),antidomain(multiplication(antidomain(X1),X0))),
inference(forward_demodulation,[],[f8172,f7923]) ).
fof(f8328,plain,
! [X2,X0,X1] : multiplication(antidomain(X1),addition(antidomain(X0),X2)) = addition(multiplication(antidomain(X0),antidomain(X1)),multiplication(antidomain(X1),X2)),
inference(superposition,[],[f27,f7889]) ).
fof(f8329,plain,
! [X2,X0,X1] : multiplication(antidomain(X1),addition(X2,antidomain(X0))) = addition(multiplication(antidomain(X1),X2),multiplication(antidomain(X0),antidomain(X1))),
inference(superposition,[],[f27,f7889]) ).
fof(f8486,plain,
! [X0,X1] : multiplication(antidomain(X0),antidomain(multiplication(antidomain(X0),X1))) = multiplication(antidomain(addition(X1,X0)),antidomain(X0)),
inference(superposition,[],[f8109,f258]) ).
fof(f8528,plain,
! [X0,X1] : addition(antidomain(X1),multiplication(antidomain(X0),antidomain(antidomain(X1)))) = addition(antidomain(X1),antidomain(multiplication(antidomain(antidomain(X1)),X0))),
inference(superposition,[],[f7223,f8109]) ).
fof(f8538,plain,
! [X2,X0,X1] : addition(multiplication(antidomain(X0),antidomain(X1)),multiplication(antidomain(X1),X2)) = multiplication(antidomain(X1),addition(antidomain(multiplication(antidomain(X1),X0)),X2)),
inference(superposition,[],[f27,f8109]) ).
fof(f8539,plain,
! [X2,X0,X1] : addition(multiplication(antidomain(X1),X2),multiplication(antidomain(X0),antidomain(X1))) = multiplication(antidomain(X1),addition(X2,antidomain(multiplication(antidomain(X1),X0)))),
inference(superposition,[],[f27,f8109]) ).
fof(f8577,plain,
! [X2,X0,X1] : multiplication(antidomain(X1),addition(X2,antidomain(X0))) = multiplication(antidomain(X1),addition(X2,antidomain(multiplication(antidomain(X1),X0)))),
inference(forward_demodulation,[],[f8539,f8329]) ).
fof(f8578,plain,
! [X2,X0,X1] : multiplication(antidomain(X1),addition(antidomain(X0),X2)) = multiplication(antidomain(X1),addition(antidomain(multiplication(antidomain(X1),X0)),X2)),
inference(forward_demodulation,[],[f8538,f8328]) ).
fof(f8587,plain,
! [X0,X1] : addition(antidomain(X1),multiplication(antidomain(X0),antidomain(antidomain(X1)))) = antidomain(multiplication(antidomain(antidomain(X1)),X0)),
inference(forward_demodulation,[],[f8528,f1856]) ).
fof(f8619,plain,
! [X0,X1] : multiplication(antidomain(X0),antidomain(multiplication(antidomain(X0),X1))) = multiplication(antidomain(X0),antidomain(addition(X1,X0))),
inference(forward_demodulation,[],[f8486,f7889]) ).
fof(f8645,plain,
! [X0,X1] : addition(antidomain(X1),antidomain(X0)) = antidomain(multiplication(antidomain(antidomain(X1)),X0)),
inference(forward_demodulation,[],[f8587,f7462]) ).
fof(f8669,plain,
! [X0,X1] : antidomain(addition(X1,X0)) = multiplication(antidomain(X0),antidomain(multiplication(antidomain(X0),X1))),
inference(forward_demodulation,[],[f8619,f3875]) ).
fof(f8884,plain,
! [X0,X1] : antidomain(multiplication(antidomain(X0),X1)) = addition(antidomain(antidomain(X0)),antidomain(X1)),
inference(superposition,[],[f8645,f288]) ).
fof(f8889,plain,
! [X0,X1] : antidomain(multiplication(antidomain(antidomain(X0)),X1)) = addition(antidomain(X0),antidomain(addition(antidomain(X0),X1))),
inference(superposition,[],[f8645,f262]) ).
fof(f8890,plain,
! [X0,X1] : antidomain(multiplication(antidomain(antidomain(X0)),X1)) = addition(antidomain(X0),antidomain(addition(X1,antidomain(X0)))),
inference(superposition,[],[f8645,f258]) ).
fof(f9099,plain,
! [X0,X1] : addition(antidomain(X0),antidomain(addition(X1,antidomain(X0)))) = addition(antidomain(X0),antidomain(X1)),
inference(forward_demodulation,[],[f8890,f8645]) ).
fof(f9100,plain,
! [X0,X1] : addition(antidomain(X0),antidomain(addition(antidomain(X0),X1))) = addition(antidomain(X0),antidomain(X1)),
inference(forward_demodulation,[],[f8889,f8645]) ).
fof(f9261,plain,
! [X0,X1] : multiplication(antidomain(antidomain(X0)),antidomain(addition(antidomain(X0),X1))) = multiplication(antidomain(antidomain(X0)),addition(antidomain(X0),antidomain(X1))),
inference(superposition,[],[f262,f9100]) ).
fof(f9287,plain,
! [X0,X1] : multiplication(antidomain(antidomain(X0)),antidomain(X1)) = multiplication(antidomain(antidomain(X0)),antidomain(addition(antidomain(X0),X1))),
inference(forward_demodulation,[],[f9261,f262]) ).
fof(f9323,plain,
! [X0,X1] : antidomain(addition(antidomain(X0),X1)) = multiplication(antidomain(antidomain(X0)),antidomain(X1)),
inference(forward_demodulation,[],[f9287,f3876]) ).
fof(f9787,plain,
antidomain(antidomain(addition(sK0,sK1))) != antidomain(multiplication(antidomain(sK0),antidomain(sK1))),
inference(superposition,[],[f44,f8884]) ).
fof(f9797,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),antidomain(antidomain(X1))) = addition(antidomain(antidomain(X0)),antidomain(antidomain(multiplication(antidomain(X0),X1)))),
inference(superposition,[],[f9100,f8884]) ).
fof(f9848,plain,
! [X0,X1] : antidomain(multiplication(antidomain(X0),antidomain(multiplication(antidomain(X0),X1)))) = addition(antidomain(antidomain(X0)),antidomain(antidomain(X1))),
inference(forward_demodulation,[],[f9797,f8884]) ).
fof(f9883,plain,
! [X0,X1] : antidomain(multiplication(antidomain(X0),antidomain(multiplication(antidomain(X0),X1)))) = antidomain(multiplication(antidomain(X0),antidomain(X1))),
inference(forward_demodulation,[],[f9848,f8884]) ).
fof(f9897,plain,
! [X0,X1] : antidomain(multiplication(antidomain(X0),antidomain(X1))) = antidomain(multiplication(antidomain(X1),antidomain(X0))),
inference(forward_demodulation,[],[f9883,f8109]) ).
fof(f9953,plain,
! [X0,X1] : multiplication(antidomain(antidomain(X0)),addition(antidomain(X0),antidomain(X1))) = multiplication(antidomain(antidomain(X0)),antidomain(addition(X1,antidomain(X0)))),
inference(superposition,[],[f262,f9099]) ).
fof(f9979,plain,
! [X0,X1] : antidomain(addition(X1,antidomain(X0))) = multiplication(antidomain(antidomain(X0)),addition(antidomain(X0),antidomain(X1))),
inference(forward_demodulation,[],[f9953,f3875]) ).
fof(f10015,plain,
! [X0,X1] : multiplication(antidomain(antidomain(X0)),antidomain(X1)) = antidomain(addition(X1,antidomain(X0))),
inference(forward_demodulation,[],[f9979,f262]) ).
fof(f10400,plain,
! [X0,X1] : multiplication(antidomain(X0),antidomain(antidomain(X1))) = antidomain(addition(X0,antidomain(X1))),
inference(superposition,[],[f7889,f10015]) ).
fof(f11157,plain,
! [X0,X1] : multiplication(antidomain(X1),antidomain(X0)) = multiplication(antidomain(multiplication(antidomain(X0),antidomain(antidomain(X1)))),antidomain(X0)),
inference(superposition,[],[f2881,f9897]) ).
fof(f11293,plain,
! [X0,X1] : multiplication(antidomain(X1),antidomain(X0)) = multiplication(antidomain(X0),antidomain(multiplication(antidomain(X0),antidomain(antidomain(X1))))),
inference(forward_demodulation,[],[f11157,f7889]) ).
fof(f11402,plain,
! [X0,X1] : multiplication(antidomain(X1),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X0)),
inference(forward_demodulation,[],[f11293,f8109]) ).
fof(f11460,plain,
! [X0,X1] : antidomain(addition(antidomain(antidomain(X1)),X0)) = multiplication(antidomain(X1),antidomain(X0)),
inference(forward_demodulation,[],[f11402,f9323]) ).
fof(f13487,plain,
! [X2,X0,X1] : multiplication(antidomain(antidomain(X2)),antidomain(multiplication(X0,X1))) = antidomain(addition(antidomain(X2),multiplication(X0,antidomain(antidomain(X1))))),
inference(superposition,[],[f9323,f5521]) ).
fof(f13668,plain,
! [X2,X0,X1] : antidomain(addition(antidomain(X2),multiplication(X0,X1))) = antidomain(addition(antidomain(X2),multiplication(X0,antidomain(antidomain(X1))))),
inference(forward_demodulation,[],[f13487,f9323]) ).
fof(f17815,plain,
! [X2,X0,X1] : multiplication(antidomain(X2),antidomain(multiplication(antidomain(X0),antidomain(X1)))) = antidomain(addition(X2,multiplication(antidomain(X0),antidomain(X1)))),
inference(superposition,[],[f10400,f11460]) ).
fof(f20058,plain,
! [X0,X1] : antidomain(addition(X0,X1)) = multiplication(antidomain(X1),antidomain(X0)),
inference(superposition,[],[f8181,f8669]) ).
fof(f20059,plain,
! [X0,X1] : antidomain(addition(X0,X1)) = multiplication(antidomain(X0),antidomain(X1)),
inference(superposition,[],[f8109,f8669]) ).
fof(f20085,plain,
! [X2,X0,X1] : multiplication(antidomain(X1),addition(antidomain(multiplication(antidomain(X1),X0)),X2)) = addition(antidomain(addition(X0,X1)),multiplication(antidomain(X1),X2)),
inference(superposition,[],[f27,f8669]) ).
fof(f20106,plain,
! [X0,X1] : antidomain(antidomain(addition(X0,X1))) = multiplication(antidomain(multiplication(antidomain(X1),antidomain(antidomain(antidomain(multiplication(antidomain(X1),X0)))))),antidomain(antidomain(addition(X0,X1)))),
inference(superposition,[],[f2072,f8669]) ).
fof(f20113,plain,
! [X0,X1] : antidomain(antidomain(addition(X0,X1))) = multiplication(antidomain(antidomain(addition(X0,X1))),antidomain(multiplication(antidomain(X1),antidomain(antidomain(antidomain(multiplication(antidomain(X1),X0))))))),
inference(forward_demodulation,[],[f20106,f7591]) ).
fof(f20128,plain,
! [X2,X0,X1] : multiplication(antidomain(X1),addition(antidomain(X0),X2)) = addition(antidomain(addition(X0,X1)),multiplication(antidomain(X1),X2)),
inference(forward_demodulation,[],[f20085,f8578]) ).
fof(f20218,plain,
! [X0,X1] : antidomain(antidomain(addition(X0,X1))) = antidomain(addition(antidomain(addition(X0,X1)),multiplication(antidomain(X1),antidomain(antidomain(antidomain(multiplication(antidomain(X1),X0))))))),
inference(forward_demodulation,[],[f20113,f17815]) ).
fof(f20296,plain,
! [X0,X1] : antidomain(antidomain(addition(X0,X1))) = antidomain(addition(antidomain(addition(X0,X1)),multiplication(antidomain(X1),antidomain(multiplication(antidomain(X1),X0))))),
inference(forward_demodulation,[],[f20218,f13668]) ).
fof(f20354,plain,
! [X0,X1] : antidomain(antidomain(addition(X0,X1))) = antidomain(multiplication(antidomain(X1),addition(antidomain(X0),antidomain(multiplication(antidomain(X1),X0))))),
inference(forward_demodulation,[],[f20296,f20128]) ).
fof(f20394,plain,
! [X0,X1] : antidomain(antidomain(addition(X0,X1))) = antidomain(multiplication(antidomain(X1),addition(antidomain(X0),antidomain(X0)))),
inference(forward_demodulation,[],[f20354,f8577]) ).
fof(f20424,plain,
! [X0,X1] : antidomain(antidomain(addition(X0,X1))) = antidomain(multiplication(antidomain(X1),antidomain(X0))),
inference(forward_demodulation,[],[f20394,f29]) ).
fof(f20443,plain,
! [X0,X1] : antidomain(antidomain(addition(X1,X0))) = antidomain(antidomain(addition(X0,X1))),
inference(forward_demodulation,[],[f20424,f20059]) ).
fof(f20906,plain,
antidomain(antidomain(addition(sK0,sK1))) != antidomain(antidomain(addition(sK1,sK0))),
inference(superposition,[],[f9787,f20058]) ).
fof(f21001,plain,
$false,
inference(forward_subsumption_resolution,[],[f20906,f20443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE087+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 % Computer : n003.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sun Sep 27 13:11:26 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.47 Running first-order theorem proving
% 0.14/0.47 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
% 17.00/3.28 % (518649)Detected formulas, will run a generic FOF schedule.
% 17.00/3.28 % (518659)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4067211940:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 17.00/3.28 % (518659)Instruction limit reached!
% 17.00/3.28 % (518659)------------------------------
% 17.00/3.28 % (518659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.00/3.28 % (518659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/3.28 % (518659)CaDiCaL version: 2.1.3
% 17.00/3.28 % (518659)Termination reason: Instruction limit
% 17.00/3.28 % (518659)Termination phase: Saturation
% 17.00/3.28 % (518659)Time elapsed: 0.083 s
% 17.00/3.28 % (518659)Peak memory usage: 89 MB
% 17.00/3.28 % (518659)Instructions burned: 139 (million)
% 17.00/3.28 % (518655)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=209860023:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 17.00/3.28 % (518654)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1676418863:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 17.00/3.28 % (518657)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2833754611:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 17.00/3.28 % (518656)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2423999275:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 17.00/3.28 % (518658)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1292242529:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 17.00/3.28 % (518657)Refutation not found, incomplete strategy
% 17.00/3.28 % (518657)------------------------------
% 17.00/3.28 % (518657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.00/3.28 % (518657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/3.28 % (518657)CaDiCaL version: 2.1.3
% 17.00/3.28 % (518657)Termination reason: Refutation not found, incomplete strategy
% 17.00/3.28 % (518657)Time elapsed: 0.002 s
% 17.00/3.28 % (518657)Peak memory usage: 88 MB
% 17.00/3.28 % (518660)dis-21_1_sil=8000:lcm=predicate:random_seed=2496479794:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 17.00/3.28 % (518660)Refutation not found, incomplete strategy
% 17.00/3.28 % (518660)------------------------------
% 17.00/3.28 % (518660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.00/3.28 % (518660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/3.28 % (518660)CaDiCaL version: 2.1.3
% 17.00/3.28 % (518660)Termination reason: Refutation not found, incomplete strategy
% 17.00/3.28 % (518660)Time elapsed: 0.003 s
% 17.00/3.28 % (518660)Peak memory usage: 88 MB
% 17.00/3.28 % (518660)Instructions burned: 1 (million)
% 17.00/3.28 % (518658)Instruction limit reached!
% 17.00/3.28 % (518658)------------------------------
% 17.00/3.28 % (518658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.00/3.28 % (518658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/3.28 % (518658)CaDiCaL version: 2.1.3
% 17.00/3.28 % (518658)Termination reason: Instruction limit
% 17.00/3.28 % (518658)Termination phase: Saturation
% 17.00/3.28 % (518658)Time elapsed: 0.111 s
% 17.00/3.28 % (518658)Peak memory usage: 89 MB
% 17.00/3.28 % (518658)Instructions burned: 120 (million)
% 17.00/3.28 % (518662)lrs+10_1_sil=8000:sp=occurrence:random_seed=2685250555:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 17.00/3.28 % (518669)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4034764929:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 17.00/3.28 % (518662)Instruction limit reached!
% 17.00/3.28 % (518662)------------------------------
% 17.00/3.28 % (518662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.00/3.28 % (518662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/3.28 % (518662)CaDiCaL version: 2.1.3
% 17.00/3.28 % (518662)Termination reason: Instruction limit
% 17.00/3.28 % (518662)Termination phase: Saturation
% 17.00/3.28 % (518662)Time elapsed: 0.156 s
% 17.00/3.28 % (518662)Peak memory usage: 91 MB
% 17.00/3.28 % (518662)Instructions burned: 285 (million)
% 25.19/4.44 % (518657)------------------------------
% 25.19/4.44 % (518657)------------------------------
% 25.19/4.44 % (518660)------------------------------
% 25.19/4.44 % (518660)------------------------------
% 25.19/4.44 % (518669)Instruction limit reached!
% 25.19/4.44 % (518669)------------------------------
% 25.19/4.44 % (518669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.19/4.44 % (518669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.19/4.44 % (518669)CaDiCaL version: 2.1.3
% 25.19/4.44 % (518669)Termination reason: Instruction limit
% 25.19/4.44 % (518669)Termination phase: Saturation
% 25.19/4.44 % (518669)Time elapsed: 0.132 s
% 25.19/4.44 % (518669)Peak memory usage: 89 MB
% 25.19/4.44 % (518669)Instructions burned: 157 (million)
% 25.19/4.44 % (518672)lrs+1011_1_sil=32000:sp=occurrence:random_seed=682981590:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 25.19/4.44 % (518674)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1605317709:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 25.19/4.44 % (518674)Refutation not found, incomplete strategy
% 25.19/4.44 % (518674)------------------------------
% 25.19/4.44 % (518674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.19/4.44 % (518674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.19/4.44 % (518674)CaDiCaL version: 2.1.3
% 25.19/4.44 % (518674)Termination reason: Refutation not found, incomplete strategy
% 25.19/4.44 % (518674)Time elapsed: 0.002 s
% 25.19/4.44 % (518674)Peak memory usage: 88 MB
% 25.19/4.44 % (518674)Instructions burned: 1 (million)
% 25.19/4.44 % (518673)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=295212088:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 25.19/4.44 % (518675)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2436274409:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 25.19/4.44 % (518672)Instruction limit reached!
% 25.19/4.44 % (518672)------------------------------
% 25.19/4.44 % (518672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.19/4.44 % (518672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.19/4.44 % (518672)CaDiCaL version: 2.1.3
% 25.19/4.44 % (518672)Termination reason: Instruction limit
% 25.19/4.44 % (518672)Termination phase: Saturation
% 25.19/4.44 % (518672)Time elapsed: 0.174 s
% 25.19/4.44 % (518672)Peak memory usage: 92 MB
% 25.19/4.44 % (518672)Instructions burned: 326 (million)
% 25.19/4.44 % (518673)Instruction limit reached!
% 25.19/4.44 % (518673)------------------------------
% 25.19/4.44 % (518673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.19/4.44 % (518673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.19/4.44 % (518673)CaDiCaL version: 2.1.3
% 25.19/4.44 % (518673)Termination reason: Instruction limit
% 25.19/4.44 % (518673)Termination phase: Saturation
% 25.19/4.44 % (518673)Time elapsed: 0.235 s
% 25.19/4.44 % (518673)Peak memory usage: 91 MB
% 25.19/4.44 % (518673)Instructions burned: 248 (million)
% 25.19/4.44 % (518656)Refutation not found, incomplete strategy
% 25.19/4.44 % (518656)------------------------------
% 25.19/4.44 % (518656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.19/4.44 % (518656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.19/4.44 % (518656)CaDiCaL version: 2.1.3
% 25.19/4.44 % (518656)Termination reason: Refutation not found, incomplete strategy
% 25.19/4.44 % (518656)Time elapsed: 0.924 s
% 25.19/4.44 % (518656)Peak memory usage: 127 MB
% 25.19/4.44 % (518656)Instructions burned: 889 (million)
% 25.19/4.44 % (518674)------------------------------
% 25.19/4.44 % (518674)------------------------------
% 25.19/4.44 % (518680)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1912446194:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 25.19/4.44 % (518680)Refutation not found, incomplete strategy
% 25.19/4.44 % (518680)------------------------------
% 25.19/4.44 % (518680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.19/4.44 % (518680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.19/4.44 % (518680)CaDiCaL version: 2.1.3
% 25.19/4.44 % (518680)Termination reason: Refutation not found, incomplete strategy
% 25.19/4.44 % (518680)Time elapsed: 0.002 s
% 25.19/4.44 % (518680)Peak memory usage: 89 MB
% 35.09/6.24 % (518680)Instructions burned: 1 (million)
% 35.09/6.24 % (518681)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3448923368:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 35.09/6.24 % (518681)Refutation not found, incomplete strategy
% 35.09/6.24 % (518681)------------------------------
% 35.09/6.24 % (518681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.09/6.24 % (518681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.09/6.24 % (518681)CaDiCaL version: 2.1.3
% 35.09/6.24 % (518681)Termination reason: Refutation not found, incomplete strategy
% 35.09/6.24 % (518681)Time elapsed: 0.002 s
% 35.09/6.24 % (518681)Peak memory usage: 87 MB
% 35.09/6.24 % (518680)------------------------------
% 35.09/6.24 % (518680)------------------------------
% 35.09/6.24 % (518683)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1252588509:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 35.09/6.24 % (518683)Refutation not found, incomplete strategy
% 35.09/6.24 % (518683)------------------------------
% 35.09/6.24 % (518683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.09/6.24 % (518683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.09/6.24 % (518683)CaDiCaL version: 2.1.3
% 35.09/6.24 % (518683)Termination reason: Refutation not found, incomplete strategy
% 35.09/6.24 % (518683)Time elapsed: 0.002 s
% 35.09/6.24 % (518683)Peak memory usage: 88 MB
% 35.09/6.24 % (518683)Instructions burned: 1 (million)
% 35.09/6.24 % (518656)------------------------------
% 35.09/6.24 % (518656)------------------------------
% 35.09/6.24 % (518685)lrs+10_1_sil=8000:sp=occurrence:random_seed=611467681:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 35.09/6.24 % (518687)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3267027568:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 35.09/6.24 % (518687)Refutation not found, incomplete strategy
% 35.09/6.24 % (518687)------------------------------
% 35.09/6.24 % (518687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.09/6.24 % (518687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.09/6.24 % (518687)CaDiCaL version: 2.1.3
% 35.09/6.24 % (518687)Termination reason: Refutation not found, incomplete strategy
% 35.09/6.24 % (518687)Time elapsed: 0.002 s
% 35.09/6.24 % (518687)Peak memory usage: 88 MB
% 35.09/6.24 % (518681)------------------------------
% 35.09/6.24 % (518681)------------------------------
% 35.09/6.24 % (518683)------------------------------
% 35.09/6.24 % (518683)------------------------------
% 35.09/6.24 % (518687)------------------------------
% 35.09/6.24 % (518687)------------------------------
% 35.09/6.24 % (518690)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=826818044:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 35.09/6.24 % (518691)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2389492242:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 35.09/6.24 % (518685)Instruction limit reached!
% 35.09/6.24 % (518685)------------------------------
% 35.09/6.24 % (518685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.09/6.24 % (518685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.09/6.24 % (518685)CaDiCaL version: 2.1.3
% 35.09/6.24 % (518685)Termination reason: Instruction limit
% 35.09/6.24 % (518685)Termination phase: Saturation
% 35.09/6.24 % (518685)Time elapsed: 0.492 s
% 35.09/6.24 % (518685)Peak memory usage: 97 MB
% 35.09/6.24 % (518685)Instructions burned: 908 (million)
% 35.09/6.24 % (518691)Refutation not found, incomplete strategy
% 35.09/6.24 % (518691)------------------------------
% 35.09/6.24 % (518691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.09/6.24 % (518691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.09/6.24 % (518691)CaDiCaL version: 2.1.3
% 35.09/6.24 % (518691)Termination reason: Refutation not found, incomplete strategy
% 35.09/6.24 % (518691)Time elapsed: 0.002 s
% 35.09/6.24 % (518691)Peak memory usage: 89 MB
% 35.09/6.24 % (518695)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2216298380:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 35.09/6.24 % (518693)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2590208998:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 35.09/6.24 % (518691)------------------------------
% 35.09/6.24 % (518691)------------------------------
% 35.09/6.24 % (518698)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3118596238:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/125Mi)
% 35.09/6.24 % (518698)Instruction limit reached!
% 35.09/6.24 % (518698)------------------------------
% 35.09/6.24 % (518698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.09/6.24 % (518698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.09/6.24 % (518698)CaDiCaL version: 2.1.3
% 35.09/6.24 % (518698)Termination reason: Instruction limit
% 35.09/6.24 % (518698)Termination phase: Saturation
% 35.09/6.24 % (518698)Time elapsed: 0.106 s
% 35.09/6.24 % (518698)Peak memory usage: 90 MB
% 35.09/6.24 % (518698)Instructions burned: 126 (million)
% 35.09/6.24 % (518693)Instruction limit reached!
% 35.09/6.24 % (518693)------------------------------
% 35.09/6.24 % (518693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.09/6.24 % (518693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.09/6.24 % (518693)CaDiCaL version: 2.1.3
% 35.09/6.24 % (518693)Termination reason: Instruction limit
% 35.09/6.24 % (518693)Termination phase: Saturation
% 35.09/6.24 % (518693)Time elapsed: 0.607 s
% 35.09/6.24 % (518693)Peak memory usage: 97 MB
% 35.09/6.24 % (518693)Instructions burned: 592 (million)
% 35.09/6.24 % (518700)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3347132996:i=134:gtgl=5:slsql=off:gtg=exists_sym_2970 on theBenchmark for (2970ds/134Mi)
% 35.09/6.24 % (518700)Instruction limit reached!
% 35.09/6.24 % (518700)------------------------------
% 35.09/6.24 % (518700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.09/6.24 % (518700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.09/6.24 % (518700)CaDiCaL version: 2.1.3
% 35.09/6.24 % (518700)Termination reason: Instruction limit
% 35.09/6.24 % (518700)Termination phase: Saturation
% 35.09/6.24 % (518700)Time elapsed: 0.127 s
% 35.09/6.24 % (518700)Peak memory usage: 89 MB
% 35.09/6.24 % (518700)Instructions burned: 134 (million)
% 35.09/6.24 % (518701)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2780999205:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 35.09/6.24 % (518701)Refutation not found, incomplete strategy
% 35.09/6.24 % (518701)------------------------------
% 35.09/6.24 % (518701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.09/6.24 % (518701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.09/6.24 % (518701)CaDiCaL version: 2.1.3
% 35.09/6.24 % (518701)Termination reason: Refutation not found, incomplete strategy
% 35.09/6.24 % (518701)Time elapsed: 0.001 s
% 35.09/6.24 % (518701)Peak memory usage: 88 MB
% 35.09/6.24 % (518675)Instruction limit reached!
% 35.09/6.24 % (518675)------------------------------
% 35.09/6.24 % (518675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.09/6.24 % (518675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.09/6.24 % (518675)CaDiCaL version: 2.1.3
% 35.09/6.24 % (518675)Termination reason: Instruction limit
% 35.09/6.24 % (518675)Termination phase: Saturation
% 35.09/6.24 % (518675)Time elapsed: 2.401 s
% 35.09/6.24 % (518675)Peak memory usage: 143 MB
% 35.09/6.24 % (518675)Instructions burned: 2350 (million)
% 35.09/6.24 % (518701)------------------------------
% 35.09/6.24 % (518701)------------------------------
% 35.09/6.24 % (518703)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2469154693:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2966 on theBenchmark for (2966ds/431Mi)
% 35.09/6.24 % (518703)Refutation not found, incomplete strategy
% 35.09/6.24 % (518703)------------------------------
% 35.09/6.24 % (518703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.09/6.24 % (518703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.09/6.24 % (518703)CaDiCaL version: 2.1.3
% 35.09/6.24 % (518703)Termination reason: Refutation not found, incomplete strategy
% 35.09/6.24 % (518703)Time elapsed: 0.002 s
% 35.09/6.24 % (518703)Peak memory usage: 88 MB
% 35.09/6.24 % (518703)Instructions burned: 1 (million)
% 35.09/6.24 % (518706)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=4219655622:i=6060:aac=none:ins=25_2965 on theBenchmark for (2965ds/6060Mi)
% 35.09/6.24 % (518703)------------------------------
% 35.09/6.24 % (518703)------------------------------
% 35.09/6.24 % (518708)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3780742730:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2964 on theBenchmark for (2964ds/150Mi)
% 35.09/6.24 % (518708)Instruction limit reached!
% 35.09/6.24 % (518708)------------------------------
% 35.09/6.24 % (518708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.09/6.24 % (518708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.09/6.24 % (518708)CaDiCaL version: 2.1.3
% 35.09/6.24 % (518708)Termination reason: Instruction limit
% 35.09/6.24 % (518708)Termination phase: Saturation
% 35.09/6.24 % (518708)Time elapsed: 0.161 s
% 35.09/6.24 % (518708)Peak memory usage: 91 MB
% 35.09/6.24 % (518708)Instructions burned: 151 (million)
% 35.09/6.24 % (518713)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1278519549:i=14155:bd=all_2961 on theBenchmark for (2961ds/14155Mi)
% 35.09/6.24 % (518715)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2571100127:i=667:av=off:fsr=off_2959 on theBenchmark for (2959ds/667Mi)
% 35.09/6.24 % (518715)Refutation not found, incomplete strategy
% 35.09/6.24 % (518715)------------------------------
% 35.09/6.24 % (518715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.09/6.24 % (518715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.09/6.24 % (518715)CaDiCaL version: 2.1.3
% 35.09/6.24 % (518715)Termination reason: Refutation not found, incomplete strategy
% 35.09/6.24 % (518715)Time elapsed: 0.002 s
% 35.09/6.24 % (518715)Peak memory usage: 88 MB
% 35.09/6.24 % (518715)Instructions burned: 1 (million)
% 35.09/6.24 % (518715)------------------------------
% 35.09/6.24 % (518715)------------------------------
% 35.09/6.24 % (518695)First to succeed.
% 35.09/6.24 % (518695)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-518649"
% 35.09/6.24 % (518718)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2335857954:s2a=on:i=185:s2at=1.8:fdi=4_2952 on theBenchmark for (2952ds/185Mi)
% 35.09/6.24 % (518655)Also succeeded, but the first one will report.
% 35.09/6.24 % (518718)Instruction limit reached!
% 35.09/6.24 % (518718)------------------------------
% 35.09/6.24 % (518718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.09/6.24 % (518718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.09/6.24 % (518718)CaDiCaL version: 2.1.3
% 35.09/6.24 % (518718)Termination reason: Instruction limit
% 35.09/6.24 % (518718)Termination phase: Saturation
% 35.09/6.24 % (518718)Time elapsed: 0.181 s
% 35.09/6.24 % (518718)Peak memory usage: 90 MB
% 35.09/6.24 % (518718)Instructions burned: 185 (million)
% 35.09/6.24 % (518695)Refutation found. Thanks to Tanya!
% 35.09/6.24 % SZS status Theorem for theBenchmark
% 35.09/6.24 % SZS output start Proof for theBenchmark
% See solution above
% 38.84/6.57 % (518695)------------------------------
% 38.84/6.57 % (518695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.84/6.57 % (518695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.84/6.57 % (518695)CaDiCaL version: 2.1.3
% 38.84/6.57 % (518695)Termination reason: Refutation
% 38.84/6.57 % (518695)Time elapsed: 2.533 s
% 38.84/6.57 % (518695)Peak memory usage: 147 MB
% 38.84/6.57 % (518695)Instructions burned: 2843 (million)
% 38.84/6.57 % (518695)------------------------------
% 38.84/6.57 % (518695)------------------------------
% 38.84/6.57 % (518649)Success in time 5.442 s
% 38.84/6.57 % Vampire exiting
%------------------------------------------------------------------------------