%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE106+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 11:40:21 AM UTC 2026
% Result : Theorem 21.97s 4.30s
% Output : Refutation 22.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 23
% Syntax : Number of formulae : 211 ( 207 unt; 0 def)
% Number of atoms : 215 ( 214 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 279 ( 276 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f17,axiom,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain1) ).
fof(f18,axiom,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain2) ).
fof(f19,axiom,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain3) ).
fof(f20,axiom,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain4) ).
fof(f21,axiom,
! [X0] : c(X0) = antidomain(domain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement) ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).
fof(f24,axiom,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',backward_diamond) ).
fof(f26,axiom,
! [X0,X1] : backward_box(X0,X1) = c(backward_diamond(X0,c(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',backward_box) ).
fof(f27,conjecture,
! [X0,X1,X2] :
( addition(domain(X1),backward_box(X0,domain(X2))) = backward_box(X0,domain(X2))
=> addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f28,negated_conjecture,
~ ! [X0,X1,X2] :
( addition(domain(X1),backward_box(X0,domain(X2))) = backward_box(X0,domain(X2))
=> addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
? [X0,X1,X2] :
( domain(X2) != addition(forward_diamond(X0,domain(X1)),domain(X2))
& addition(domain(X1),backward_box(X0,domain(X2))) = backward_box(X0,domain(X2)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f30,plain,
( domain(sK2) != addition(forward_diamond(sK0,domain(sK1)),domain(sK2))
& backward_box(sK0,domain(sK2)) = addition(domain(sK1),backward_box(sK0,domain(sK2))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f29]) ).
fof(f31,plain,
backward_box(sK0,domain(sK2)) = addition(domain(sK1),backward_box(sK0,domain(sK2))),
inference(cnf_transformation,[],[f30]) ).
fof(f32,plain,
domain(sK2) != addition(forward_diamond(sK0,domain(sK1)),domain(sK2)),
inference(cnf_transformation,[],[f30]) ).
fof(f33,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f35,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f36,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f37,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f38,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f40,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(cnf_transformation,[],[f21]) ).
fof(f41,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f43,plain,
! [X0,X1] : backward_box(X0,X1) = c(backward_diamond(X0,c(X1))),
inference(cnf_transformation,[],[f26]) ).
fof(f44,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f45,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f46,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(f47,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f48,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f49,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f50,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f51,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f52,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f53,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f55,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f56,plain,
! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
inference(cnf_transformation,[],[f20]) ).
fof(f57,plain,
! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(cnf_transformation,[],[f18]) ).
fof(f58,plain,
! [X0] : c(X0) = antidomain(antidomain(antidomain(X0))),
inference(definition_unfolding,[],[f40,f41]) ).
fof(f59,plain,
! [X0,X1] : backward_diamond(X0,X1) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X1)),X0))),
inference(definition_unfolding,[],[f48,f56,f56]) ).
fof(f60,plain,
! [X0,X1] : backward_box(X0,X1) = antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(X1))))),X0)))))),
inference(definition_unfolding,[],[f43,f58,f59,f58]) ).
fof(f62,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f38,f41,f41]) ).
fof(f64,plain,
antidomain(antidomain(sK2)) != addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(sK2))),
inference(definition_unfolding,[],[f32,f41,f62,f41,f41]) ).
fof(f65,plain,
antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK2))))))),sK0)))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK2))))))),sK0))))))),
inference(definition_unfolding,[],[f31,f60,f41,f41,f60,f41]) ).
fof(f66,plain,
antidomain(antidomain(sK2)) != addition(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),
inference(forward_demodulation,[],[f64,f37]) ).
fof(f70,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f37,f45]) ).
fof(f74,plain,
! [X0] : one = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(superposition,[],[f37,f49]) ).
fof(f75,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f33,f50]) ).
fof(f76,plain,
! [X0,X1] : multiplication(addition(antidomain(X0),X1),X0) = addition(zero,multiplication(X1,X0)),
inference(superposition,[],[f33,f47]) ).
fof(f78,plain,
! [X0,X1] : multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f33,f47]) ).
fof(f83,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f78,f55]) ).
fof(f90,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f83,f45]) ).
fof(f95,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f90,f50]) ).
fof(f99,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = addition(multiplication(X0,coantidomain(X1)),zero),
inference(superposition,[],[f33,f52]) ).
fof(f100,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X0)) = addition(zero,multiplication(X1,coantidomain(X0))),
inference(superposition,[],[f33,f52]) ).
fof(f101,plain,
zero = coantidomain(one),
inference(superposition,[],[f50,f52]) ).
fof(f102,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = multiplication(X0,coantidomain(X1)),
inference(forward_demodulation,[],[f99,f55]) ).
fof(f104,plain,
one = addition(coantidomain(zero),zero),
inference(superposition,[],[f49,f101]) ).
fof(f105,plain,
one = coantidomain(zero),
inference(forward_demodulation,[],[f104,f55]) ).
fof(f143,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f34,f47]) ).
fof(f146,plain,
! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(X0,addition(X1,coantidomain(X0))),
inference(superposition,[],[f34,f52]) ).
fof(f161,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(X0,addition(X1,coantidomain(X0))),
inference(forward_demodulation,[],[f146,f55]) ).
fof(f164,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f143,f55]) ).
fof(f170,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X1,X2)),multiplication(X0,X2)) = multiplication(antidomain(multiplication(X1,X2)),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f164,f33]) ).
fof(f171,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,X1)) = multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f164,f34]) ).
fof(f199,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,[],[f170,f45]) ).
fof(f200,plain,
! [X0,X1] : multiplication(antidomain(multiplication(coantidomain(X0),X1)),multiplication(coantidomain(coantidomain(X0)),X1)) = multiplication(antidomain(multiplication(coantidomain(X0),X1)),multiplication(one,X1)),
inference(superposition,[],[f170,f49]) ).
fof(f209,plain,
! [X0,X1] : multiplication(antidomain(multiplication(coantidomain(X0),X1)),multiplication(coantidomain(coantidomain(X0)),X1)) = multiplication(antidomain(multiplication(coantidomain(X0),X1)),X1),
inference(forward_demodulation,[],[f200,f50]) ).
fof(f210,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(antidomain(antidomain(X0)),X1)) = multiplication(antidomain(multiplication(antidomain(X0),X1)),X1),
inference(forward_demodulation,[],[f199,f50]) ).
fof(f226,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f34,f51]) ).
fof(f231,plain,
zero = antidomain(one),
inference(superposition,[],[f47,f51]) ).
fof(f247,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f37,f55]) ).
fof(f252,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f45,f231]) ).
fof(f253,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f252,f55]) ).
fof(f260,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f36,f35]) ).
fof(f264,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f36,f34]) ).
fof(f300,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,[],[f171,f45]) ).
fof(f301,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,coantidomain(X1))),multiplication(X0,coantidomain(coantidomain(X1)))) = multiplication(antidomain(multiplication(X0,coantidomain(X1))),multiplication(X0,one)),
inference(superposition,[],[f171,f49]) ).
fof(f315,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,coantidomain(X1))),multiplication(X0,coantidomain(coantidomain(X1)))) = multiplication(antidomain(multiplication(X0,coantidomain(X1))),X0),
inference(forward_demodulation,[],[f301,f51]) ).
fof(f316,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(X1))),X0),
inference(forward_demodulation,[],[f300,f51]) ).
fof(f328,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,coantidomain(coantidomain(X0))),
inference(superposition,[],[f161,f49]) ).
fof(f343,plain,
! [X0] : multiplication(X0,coantidomain(coantidomain(X0))) = X0,
inference(forward_demodulation,[],[f328,f51]) ).
fof(f464,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,[],[f264,f33]) ).
fof(f540,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),one),
inference(superposition,[],[f260,f45]) ).
fof(f546,plain,
! [X0,X1] : multiplication(antidomain(addition(X0,X1)),X0) = multiplication(antidomain(addition(X0,X1)),addition(X0,X1)),
inference(superposition,[],[f164,f260]) ).
fof(f556,plain,
! [X0,X1] : zero = multiplication(antidomain(addition(X0,X1)),X0),
inference(forward_demodulation,[],[f546,f47]) ).
fof(f561,plain,
! [X0] : one = addition(one,antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f540,f37]) ).
fof(f617,plain,
! [X0] : multiplication(one,antidomain(X0)) = addition(zero,multiplication(antidomain(X0),antidomain(X0))),
inference(superposition,[],[f76,f45]) ).
fof(f660,plain,
! [X0] : multiplication(antidomain(X0),antidomain(X0)) = multiplication(one,antidomain(X0)),
inference(forward_demodulation,[],[f617,f247]) ).
fof(f675,plain,
! [X0] : antidomain(X0) = multiplication(antidomain(X0),antidomain(X0)),
inference(forward_demodulation,[],[f660,f50]) ).
fof(f766,plain,
! [X0,X1] : multiplication(zero,X1) = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(superposition,[],[f44,f47]) ).
fof(f823,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(forward_demodulation,[],[f766,f53]) ).
fof(f1051,plain,
! [X0] : multiplication(antidomain(X0),coantidomain(antidomain(antidomain(X0)))) = multiplication(one,coantidomain(antidomain(antidomain(X0)))),
inference(superposition,[],[f102,f70]) ).
fof(f1052,plain,
! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f164,f70]) ).
fof(f1055,plain,
! [X0] : one = addition(antidomain(X0),one),
inference(superposition,[],[f260,f70]) ).
fof(f1056,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f1055,f37]) ).
fof(f1059,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f1052,f51]) ).
fof(f1060,plain,
! [X0] : coantidomain(antidomain(antidomain(X0))) = multiplication(antidomain(X0),coantidomain(antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f1051,f50]) ).
fof(f1065,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f1059,f95]) ).
fof(f1074,plain,
antidomain(antidomain(sK2)) != addition(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))),
inference(superposition,[],[f66,f1065]) ).
fof(f1075,plain,
antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(sK2))))),sK0)))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(sK2))))),sK0))))))),
inference(superposition,[],[f65,f1065]) ).
fof(f1092,plain,
antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(sK2))))),sK0)))) = addition(antidomain(antidomain(sK1)),antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(sK2))))),sK0))))),
inference(forward_demodulation,[],[f1075,f1065]) ).
fof(f1097,plain,
antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(sK2))),sK0)))) = addition(antidomain(antidomain(sK1)),antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(sK2))),sK0))))),
inference(forward_demodulation,[],[f1092,f1065]) ).
fof(f1118,plain,
! [X2,X0,X1] : addition(multiplication(X0,coantidomain(coantidomain(X1))),multiplication(addition(X0,X2),coantidomain(X1))) = addition(multiplication(X0,one),multiplication(X2,coantidomain(X1))),
inference(superposition,[],[f464,f49]) ).
fof(f1281,plain,
! [X2,X0,X1] : addition(multiplication(X0,coantidomain(coantidomain(X1))),multiplication(addition(X0,X2),coantidomain(X1))) = addition(X0,multiplication(X2,coantidomain(X1))),
inference(forward_demodulation,[],[f1118,f51]) ).
fof(f1388,plain,
! [X0,X1] : addition(X0,multiplication(X0,coantidomain(X1))) = addition(multiplication(X0,coantidomain(coantidomain(X1))),multiplication(X0,coantidomain(X1))),
inference(superposition,[],[f1281,f35]) ).
fof(f1455,plain,
! [X0,X1] : addition(X0,multiplication(X0,coantidomain(X1))) = addition(multiplication(X0,coantidomain(X1)),multiplication(X0,coantidomain(coantidomain(X1)))),
inference(forward_demodulation,[],[f1388,f37]) ).
fof(f1482,plain,
! [X0,X1] : addition(X0,multiplication(X0,coantidomain(X1))) = multiplication(X0,addition(coantidomain(X1),coantidomain(coantidomain(X1)))),
inference(forward_demodulation,[],[f1455,f34]) ).
fof(f1499,plain,
! [X0,X1] : multiplication(X0,one) = addition(X0,multiplication(X0,coantidomain(X1))),
inference(forward_demodulation,[],[f1482,f74]) ).
fof(f1510,plain,
! [X0,X1] : multiplication(X0,one) = multiplication(X0,addition(one,coantidomain(X1))),
inference(forward_demodulation,[],[f1499,f226]) ).
fof(f1519,plain,
! [X0,X1] : multiplication(X0,addition(one,coantidomain(X1))) = X0,
inference(forward_demodulation,[],[f1510,f51]) ).
fof(f1724,plain,
! [X0,X1] : multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(X0,X1))) = multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(superposition,[],[f161,f57]) ).
fof(f1740,plain,
! [X0,X1] : zero = multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1724,f52]) ).
fof(f1757,plain,
! [X0,X1] : zero = multiplication(coantidomain(coantidomain(X0)),multiplication(X1,coantidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f1740,f44]) ).
fof(f1780,plain,
! [X0] : multiplication(antidomain(X0),addition(one,coantidomain(antidomain(antidomain(X0))))) = addition(antidomain(X0),coantidomain(antidomain(antidomain(X0)))),
inference(superposition,[],[f226,f1060]) ).
fof(f1786,plain,
! [X0] : antidomain(X0) = addition(antidomain(X0),coantidomain(antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f1780,f1519]) ).
fof(f2114,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,[],[f46,f44]) ).
fof(f2116,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,[],[f83,f46]) ).
fof(f2133,plain,
! [X0,X1] : zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f2116,f47]) ).
fof(f2134,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,[],[f2114,f44]) ).
fof(f2422,plain,
! [X0] : multiplication(antidomain(X0),X0) = addition(zero,multiplication(coantidomain(antidomain(antidomain(X0))),X0)),
inference(superposition,[],[f76,f1786]) ).
fof(f2436,plain,
! [X0] : multiplication(antidomain(X0),X0) = multiplication(coantidomain(antidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f2422,f247]) ).
fof(f2442,plain,
! [X0] : zero = multiplication(coantidomain(antidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f2436,f47]) ).
fof(f2905,plain,
! [X0,X1] : zero = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1))))),
inference(superposition,[],[f2133,f823]) ).
fof(f2906,plain,
! [X0,X1] : zero = multiplication(one,multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1))))),
inference(forward_demodulation,[],[f2905,f253]) ).
fof(f2929,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f2906,f50]) ).
fof(f2983,plain,
! [X0,X1] : multiplication(antidomain(zero),antidomain(X0)) = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(antidomain(multiplication(X0,X1)))))),
inference(superposition,[],[f316,f2929]) ).
fof(f3017,plain,
! [X0,X1] : multiplication(antidomain(zero),antidomain(X0)) = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f2983,f1065]) ).
fof(f3045,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(one,multiplication(antidomain(X0),antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f3017,f253]) ).
fof(f3062,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f3045,f50]) ).
fof(f3065,plain,
! [X0,X1] : antidomain(X0) = multiplication(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f3062,f50]) ).
fof(f3113,plain,
! [X0,X1] : multiplication(addition(one,antidomain(X0)),antidomain(multiplication(X0,X1))) = addition(antidomain(multiplication(X0,X1)),antidomain(X0)),
inference(superposition,[],[f75,f3065]) ).
fof(f3129,plain,
! [X0,X1] : multiplication(addition(one,antidomain(X0)),antidomain(multiplication(X0,X1))) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f3113,f37]) ).
fof(f3153,plain,
! [X0,X1] : addition(antidomain(X0),antidomain(multiplication(X0,X1))) = multiplication(one,antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f3129,f1056]) ).
fof(f3158,plain,
! [X0,X1] : antidomain(multiplication(X0,X1)) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f3153,f50]) ).
fof(f3764,plain,
! [X2,X0,X1] : antidomain(multiplication(X0,multiplication(X1,X2))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,multiplication(X1,X2)))),
inference(superposition,[],[f3158,f44]) ).
fof(f3880,plain,
! [X0] : multiplication(antidomain(zero),multiplication(coantidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(X0)))) = multiplication(antidomain(zero),coantidomain(antidomain(antidomain(antidomain(X0))))),
inference(superposition,[],[f316,f2442]) ).
fof(f3894,plain,
! [X0] : multiplication(antidomain(zero),coantidomain(antidomain(X0))) = multiplication(antidomain(zero),multiplication(coantidomain(antidomain(X0)),antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f3880,f1065]) ).
fof(f3923,plain,
! [X0] : multiplication(one,coantidomain(antidomain(X0))) = multiplication(one,multiplication(coantidomain(antidomain(X0)),antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f3894,f253]) ).
fof(f3933,plain,
! [X0] : multiplication(one,coantidomain(antidomain(X0))) = multiplication(coantidomain(antidomain(X0)),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f3923,f50]) ).
fof(f3937,plain,
! [X0] : coantidomain(antidomain(X0)) = multiplication(coantidomain(antidomain(X0)),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f3933,f50]) ).
fof(f3999,plain,
! [X0,X1] : antidomain(multiplication(X1,antidomain(antidomain(X0)))) = addition(antidomain(multiplication(X1,multiplication(antidomain(antidomain(X0)),X0))),antidomain(multiplication(X1,antidomain(antidomain(X0))))),
inference(superposition,[],[f2134,f675]) ).
fof(f4066,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,[],[f3999,f37]) ).
fof(f4118,plain,
! [X0,X1] : antidomain(multiplication(X1,antidomain(antidomain(X0)))) = antidomain(multiplication(X1,multiplication(antidomain(antidomain(X0)),X0))),
inference(forward_demodulation,[],[f4066,f3764]) ).
fof(f4139,plain,
! [X0,X1] : antidomain(multiplication(X1,X0)) = antidomain(multiplication(X1,antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f4118,f95]) ).
fof(f4182,plain,
! [X0] : coantidomain(antidomain(antidomain(X0))) = multiplication(coantidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(superposition,[],[f3937,f1065]) ).
fof(f4390,plain,
! [X0] : multiplication(one,coantidomain(coantidomain(coantidomain(X0)))) = addition(zero,multiplication(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0))))),
inference(superposition,[],[f100,f49]) ).
fof(f4515,plain,
! [X0] : multiplication(one,coantidomain(coantidomain(coantidomain(X0)))) = multiplication(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0)))),
inference(forward_demodulation,[],[f4390,f247]) ).
fof(f4580,plain,
! [X0] : coantidomain(X0) = multiplication(one,coantidomain(coantidomain(coantidomain(X0)))),
inference(forward_demodulation,[],[f4515,f343]) ).
fof(f4617,plain,
! [X0] : coantidomain(X0) = coantidomain(coantidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f4580,f50]) ).
fof(f5008,plain,
antidomain(antidomain(sK2)) != addition(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,sK1)))),
inference(superposition,[],[f1074,f4139]) ).
fof(f5217,plain,
! [X0,X1] : multiplication(antidomain(zero),X0) = multiplication(antidomain(zero),multiplication(antidomain(antidomain(addition(X0,X1))),X0)),
inference(superposition,[],[f210,f556]) ).
fof(f5292,plain,
! [X0,X1] : multiplication(one,X0) = multiplication(one,multiplication(antidomain(antidomain(addition(X0,X1))),X0)),
inference(forward_demodulation,[],[f5217,f253]) ).
fof(f5317,plain,
! [X0,X1] : multiplication(one,X0) = multiplication(antidomain(antidomain(addition(X0,X1))),X0),
inference(forward_demodulation,[],[f5292,f50]) ).
fof(f5325,plain,
! [X0,X1] : multiplication(antidomain(antidomain(addition(X0,X1))),X0) = X0,
inference(forward_demodulation,[],[f5317,f50]) ).
fof(f5532,plain,
! [X0,X1] : antidomain(X0) = addition(antidomain(antidomain(antidomain(addition(X0,X1)))),antidomain(X0)),
inference(superposition,[],[f3158,f5325]) ).
fof(f5557,plain,
! [X0,X1] : antidomain(X0) = addition(antidomain(X0),antidomain(antidomain(antidomain(addition(X0,X1))))),
inference(forward_demodulation,[],[f5532,f37]) ).
fof(f5589,plain,
! [X0,X1] : antidomain(X0) = addition(antidomain(X0),antidomain(addition(X0,X1))),
inference(forward_demodulation,[],[f5557,f1065]) ).
fof(f6841,plain,
multiplication(antidomain(antidomain(sK1)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(sK2))),sK0)))) = multiplication(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(sK2))),sK0)))),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(sK2))),sK0)))),
inference(superposition,[],[f83,f1097]) ).
fof(f6871,plain,
zero = multiplication(antidomain(antidomain(sK1)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(sK2))),sK0)))),
inference(forward_demodulation,[],[f6841,f47]) ).
fof(f6880,plain,
multiplication(antidomain(zero),multiplication(antidomain(antidomain(sK1)),coantidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(sK2))),sK0)))))) = multiplication(antidomain(zero),antidomain(antidomain(sK1))),
inference(superposition,[],[f315,f6871]) ).
fof(f6926,plain,
multiplication(one,multiplication(antidomain(antidomain(sK1)),coantidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(sK2))),sK0)))))) = multiplication(one,antidomain(antidomain(sK1))),
inference(forward_demodulation,[],[f6880,f253]) ).
fof(f6944,plain,
antidomain(antidomain(sK1)) = multiplication(one,multiplication(antidomain(antidomain(sK1)),coantidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(sK2))),sK0)))))),
inference(forward_demodulation,[],[f6926,f50]) ).
fof(f6952,plain,
antidomain(antidomain(sK1)) = multiplication(antidomain(antidomain(sK1)),coantidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(sK2))),sK0))))),
inference(forward_demodulation,[],[f6944,f50]) ).
fof(f6954,plain,
antidomain(antidomain(sK1)) = multiplication(antidomain(antidomain(sK1)),coantidomain(multiplication(coantidomain(coantidomain(antidomain(sK2))),sK0))),
inference(forward_demodulation,[],[f6952,f4617]) ).
fof(f8824,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),multiplication(X0,coantidomain(zero))),
inference(superposition,[],[f1757,f47]) ).
fof(f8991,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),multiplication(X0,one)),
inference(forward_demodulation,[],[f8824,f105]) ).
fof(f9037,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f8991,f51]) ).
fof(f9074,plain,
! [X0] : multiplication(antidomain(zero),X0) = multiplication(antidomain(zero),multiplication(coantidomain(coantidomain(coantidomain(antidomain(X0)))),X0)),
inference(superposition,[],[f209,f9037]) ).
fof(f9158,plain,
! [X0] : multiplication(antidomain(zero),X0) = multiplication(antidomain(zero),multiplication(coantidomain(antidomain(X0)),X0)),
inference(forward_demodulation,[],[f9074,f4617]) ).
fof(f9190,plain,
! [X0] : multiplication(one,X0) = multiplication(one,multiplication(coantidomain(antidomain(X0)),X0)),
inference(forward_demodulation,[],[f9158,f253]) ).
fof(f9208,plain,
! [X0] : multiplication(one,X0) = multiplication(coantidomain(antidomain(X0)),X0),
inference(forward_demodulation,[],[f9190,f50]) ).
fof(f9211,plain,
! [X0] : multiplication(coantidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f9208,f50]) ).
fof(f9220,plain,
! [X0] : antidomain(X0) = coantidomain(antidomain(antidomain(X0))),
inference(superposition,[],[f4182,f9211]) ).
fof(f9322,plain,
! [X0] : antidomain(antidomain(X0)) = coantidomain(antidomain(X0)),
inference(superposition,[],[f9220,f1065]) ).
fof(f9391,plain,
antidomain(antidomain(sK1)) = multiplication(antidomain(antidomain(sK1)),coantidomain(multiplication(coantidomain(antidomain(antidomain(sK2))),sK0))),
inference(superposition,[],[f6954,f9322]) ).
fof(f9432,plain,
antidomain(antidomain(sK1)) = multiplication(antidomain(antidomain(sK1)),coantidomain(multiplication(antidomain(sK2),sK0))),
inference(forward_demodulation,[],[f9391,f9220]) ).
fof(f9942,plain,
multiplication(addition(one,antidomain(antidomain(sK1))),coantidomain(multiplication(antidomain(sK2),sK0))) = addition(coantidomain(multiplication(antidomain(sK2),sK0)),antidomain(antidomain(sK1))),
inference(superposition,[],[f75,f9432]) ).
fof(f9972,plain,
multiplication(addition(one,antidomain(antidomain(sK1))),coantidomain(multiplication(antidomain(sK2),sK0))) = addition(antidomain(antidomain(sK1)),coantidomain(multiplication(antidomain(sK2),sK0))),
inference(forward_demodulation,[],[f9942,f37]) ).
fof(f9985,plain,
addition(antidomain(antidomain(sK1)),coantidomain(multiplication(antidomain(sK2),sK0))) = multiplication(one,coantidomain(multiplication(antidomain(sK2),sK0))),
inference(forward_demodulation,[],[f9972,f561]) ).
fof(f9990,plain,
coantidomain(multiplication(antidomain(sK2),sK0)) = addition(antidomain(antidomain(sK1)),coantidomain(multiplication(antidomain(sK2),sK0))),
inference(forward_demodulation,[],[f9985,f50]) ).
fof(f9998,plain,
multiplication(multiplication(antidomain(sK2),sK0),antidomain(antidomain(sK1))) = multiplication(multiplication(antidomain(sK2),sK0),coantidomain(multiplication(antidomain(sK2),sK0))),
inference(superposition,[],[f161,f9990]) ).
fof(f10032,plain,
zero = multiplication(multiplication(antidomain(sK2),sK0),antidomain(antidomain(sK1))),
inference(forward_demodulation,[],[f9998,f52]) ).
fof(f10034,plain,
zero = multiplication(antidomain(sK2),multiplication(sK0,antidomain(antidomain(sK1)))),
inference(forward_demodulation,[],[f10032,f44]) ).
fof(f10061,plain,
zero = multiplication(antidomain(zero),multiplication(antidomain(sK2),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))),
inference(superposition,[],[f2133,f10034]) ).
fof(f10077,plain,
zero = multiplication(antidomain(zero),multiplication(antidomain(sK2),antidomain(antidomain(multiplication(sK0,sK1))))),
inference(forward_demodulation,[],[f10061,f4139]) ).
fof(f10107,plain,
zero = multiplication(one,multiplication(antidomain(sK2),antidomain(antidomain(multiplication(sK0,sK1))))),
inference(forward_demodulation,[],[f10077,f253]) ).
fof(f10125,plain,
zero = multiplication(antidomain(sK2),antidomain(antidomain(multiplication(sK0,sK1)))),
inference(forward_demodulation,[],[f10107,f50]) ).
fof(f10149,plain,
multiplication(antidomain(zero),multiplication(antidomain(sK2),antidomain(antidomain(antidomain(multiplication(sK0,sK1)))))) = multiplication(antidomain(zero),antidomain(sK2)),
inference(superposition,[],[f316,f10125]) ).
fof(f10204,plain,
multiplication(one,multiplication(antidomain(sK2),antidomain(antidomain(antidomain(multiplication(sK0,sK1)))))) = multiplication(one,antidomain(sK2)),
inference(forward_demodulation,[],[f10149,f253]) ).
fof(f10231,plain,
antidomain(sK2) = multiplication(one,multiplication(antidomain(sK2),antidomain(antidomain(antidomain(multiplication(sK0,sK1)))))),
inference(forward_demodulation,[],[f10204,f50]) ).
fof(f10245,plain,
antidomain(sK2) = multiplication(antidomain(sK2),antidomain(antidomain(antidomain(multiplication(sK0,sK1))))),
inference(forward_demodulation,[],[f10231,f50]) ).
fof(f10252,plain,
antidomain(sK2) = multiplication(antidomain(sK2),antidomain(multiplication(sK0,sK1))),
inference(forward_demodulation,[],[f10245,f1065]) ).
fof(f10267,plain,
multiplication(addition(one,antidomain(sK2)),antidomain(multiplication(sK0,sK1))) = addition(antidomain(multiplication(sK0,sK1)),antidomain(sK2)),
inference(superposition,[],[f75,f10252]) ).
fof(f10297,plain,
multiplication(addition(one,antidomain(sK2)),antidomain(multiplication(sK0,sK1))) = addition(antidomain(sK2),antidomain(multiplication(sK0,sK1))),
inference(forward_demodulation,[],[f10267,f37]) ).
fof(f10311,plain,
addition(antidomain(sK2),antidomain(multiplication(sK0,sK1))) = multiplication(one,antidomain(multiplication(sK0,sK1))),
inference(forward_demodulation,[],[f10297,f1056]) ).
fof(f10318,plain,
antidomain(multiplication(sK0,sK1)) = addition(antidomain(sK2),antidomain(multiplication(sK0,sK1))),
inference(forward_demodulation,[],[f10311,f50]) ).
fof(f10346,plain,
antidomain(antidomain(sK2)) = addition(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,sK1)))),
inference(superposition,[],[f5589,f10318]) ).
fof(f10349,plain,
$false,
inference(forward_subsumption_resolution,[],[f10346,f5008]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE106+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 % Computer : n004.cluster.edu
% 0.23/0.48 % Model : x86_64 x86_64
% 0.23/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.48 % Memory : 8046.5625MB
% 0.23/0.48 % OS : Linux 6.8.0-71-generic
% 0.23/0.49 % CPULimit : 300
% 0.23/0.49 % WCLimit : 300
% 0.23/0.49 % DateTime : Sun Sep 27 13:10:22 UTC 2026
% 0.23/0.49 % CPUTime :
% 0.23/0.49 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.55 Running first-order theorem proving
% 0.27/0.55 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.83/3.87 % (3509578)Detected formulas, will run a generic FOF schedule.
% 17.83/3.87 % (3509587)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=228216077:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 17.83/3.87 % (3509584)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=2095695571:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 17.83/3.87 % (3509583)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=1242045901:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 17.83/3.87 % (3509587)Instruction limit reached!
% 17.83/3.87 % (3509587)------------------------------
% 17.83/3.87 % (3509587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.83/3.87 % (3509587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.83/3.87 % (3509587)CaDiCaL version: 2.1.3
% 17.83/3.87 % (3509587)Termination reason: Instruction limit
% 17.83/3.87 % (3509587)Termination phase: Saturation
% 17.83/3.87 % (3509587)Time elapsed: 0.059 s
% 17.83/3.87 % (3509587)Peak memory usage: 89 MB
% 17.83/3.87 % (3509587)Instructions burned: 120 (million)
% 17.83/3.87 % (3509585)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=1052155927:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 17.83/3.87 % (3509586)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1580525077:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 17.83/3.87 % (3509588)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2491737820:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 17.83/3.87 % (3509589)dis-21_1_sil=8000:lcm=predicate:random_seed=3735317433: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)
% 17.83/3.87 % (3509589)Refutation not found, incomplete strategy
% 17.83/3.87 % (3509589)------------------------------
% 17.83/3.87 % (3509589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.83/3.87 % (3509589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.83/3.87 % (3509589)CaDiCaL version: 2.1.3
% 17.83/3.87 % (3509589)Termination reason: Refutation not found, incomplete strategy
% 17.83/3.87 % (3509589)Time elapsed: 0.003 s
% 17.83/3.87 % (3509589)Peak memory usage: 88 MB
% 17.83/3.87 % (3509589)Instructions burned: 1 (million)
% 17.83/3.87 % (3509586)Instruction limit reached!
% 17.83/3.87 % (3509586)------------------------------
% 17.83/3.87 % (3509586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.83/3.87 % (3509586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.83/3.87 % (3509586)CaDiCaL version: 2.1.3
% 17.83/3.87 % (3509586)Termination reason: Instruction limit
% 17.83/3.87 % (3509586)Termination phase: Saturation
% 17.83/3.87 % (3509586)Time elapsed: 0.101 s
% 17.83/3.87 % (3509586)Peak memory usage: 88 MB
% 17.83/3.87 % (3509586)Instructions burned: 109 (million)
% 17.83/3.87 % (3509588)Instruction limit reached!
% 17.83/3.87 % (3509588)------------------------------
% 17.83/3.87 % (3509588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.83/3.87 % (3509588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.83/3.87 % (3509588)CaDiCaL version: 2.1.3
% 17.83/3.87 % (3509588)Termination reason: Instruction limit
% 17.83/3.87 % (3509588)Termination phase: Saturation
% 17.83/3.87 % (3509588)Time elapsed: 0.134 s
% 17.83/3.87 % (3509588)Peak memory usage: 89 MB
% 17.83/3.87 % (3509588)Instructions burned: 140 (million)
% 17.83/3.87 % (3509593)lrs+10_1_sil=8000:sp=occurrence:random_seed=2174571979:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 17.83/3.87 % (3509593)Instruction limit reached!
% 17.83/3.87 % (3509593)------------------------------
% 17.83/3.87 % (3509593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.83/3.87 % (3509593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.83/3.87 % (3509593)CaDiCaL version: 2.1.3
% 17.83/3.87 % (3509593)Termination reason: Instruction limit
% 17.83/3.87 % (3509593)Termination phase: Saturation
% 17.83/3.87 % (3509593)Time elapsed: 0.143 s
% 17.83/3.87 % (3509593)Peak memory usage: 91 MB
% 17.83/3.87 % (3509593)Instructions burned: 285 (million)
% 21.15/4.30 % (3509598)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3085729489:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 21.15/4.30 % (3509599)lrs+1011_1_sil=32000:sp=occurrence:random_seed=749200422:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 21.15/4.30 % (3509589)------------------------------
% 21.15/4.30 % (3509589)------------------------------
% 21.15/4.30 % (3509601)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=1603700042:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 21.15/4.30 % (3509598)Instruction limit reached!
% 21.15/4.30 % (3509598)------------------------------
% 21.15/4.30 % (3509598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.15/4.30 % (3509598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/4.30 % (3509598)CaDiCaL version: 2.1.3
% 21.15/4.30 % (3509598)Termination reason: Instruction limit
% 21.15/4.30 % (3509598)Termination phase: Saturation
% 21.15/4.30 % (3509598)Time elapsed: 0.150 s
% 21.15/4.30 % (3509598)Peak memory usage: 89 MB
% 21.15/4.30 % (3509598)Instructions burned: 157 (million)
% 21.15/4.30 % (3509601)Instruction limit reached!
% 21.15/4.30 % (3509601)------------------------------
% 21.15/4.30 % (3509601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.15/4.30 % (3509601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/4.30 % (3509601)CaDiCaL version: 2.1.3
% 21.15/4.30 % (3509601)Termination reason: Instruction limit
% 21.15/4.30 % (3509601)Termination phase: Saturation
% 21.15/4.30 % (3509601)Time elapsed: 0.125 s
% 21.15/4.30 % (3509601)Peak memory usage: 91 MB
% 21.15/4.30 % (3509601)Instructions burned: 250 (million)
% 21.15/4.30 % (3509604)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3306062735:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 21.15/4.30 % (3509599)Instruction limit reached!
% 21.15/4.30 % (3509599)------------------------------
% 21.15/4.30 % (3509599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.15/4.30 % (3509599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/4.30 % (3509599)CaDiCaL version: 2.1.3
% 21.15/4.30 % (3509599)Termination reason: Instruction limit
% 21.15/4.30 % (3509599)Termination phase: Saturation
% 21.15/4.30 % (3509599)Time elapsed: 0.314 s
% 21.15/4.30 % (3509599)Peak memory usage: 92 MB
% 21.15/4.30 % (3509599)Instructions burned: 326 (million)
% 21.15/4.30 % (3509606)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3539740519:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 21.15/4.30 % (3509607)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2715717732:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 21.15/4.30 % (3509607)Instruction limit reached!
% 21.15/4.30 % (3509607)------------------------------
% 21.15/4.30 % (3509607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.15/4.30 % (3509607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/4.30 % (3509607)CaDiCaL version: 2.1.3
% 21.15/4.30 % (3509607)Termination reason: Instruction limit
% 21.15/4.30 % (3509607)Termination phase: Saturation
% 21.15/4.30 % (3509607)Time elapsed: 0.053 s
% 21.15/4.30 % (3509607)Peak memory usage: 89 MB
% 21.15/4.30 % (3509607)Instructions burned: 116 (million)
% 21.15/4.30 % (3509604)Instruction limit reached!
% 21.15/4.30 % (3509604)------------------------------
% 21.15/4.30 % (3509604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.15/4.30 % (3509604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/4.30 % (3509604)CaDiCaL version: 2.1.3
% 21.15/4.30 % (3509604)Termination reason: Instruction limit
% 21.15/4.30 % (3509604)Termination phase: Saturation
% 21.15/4.30 % (3509604)Time elapsed: 0.260 s
% 21.15/4.30 % (3509604)Peak memory usage: 89 MB
% 21.15/4.30 % (3509604)Instructions burned: 294 (million)
% 21.15/4.30 % (3509609)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4028631252:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 21.15/4.30 % (3509609)Refutation not found, incomplete strategy
% 21.15/4.30 % (3509609)------------------------------
% 21.15/4.30 % (3509609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.15/4.30 % (3509609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/4.30 % (3509609)CaDiCaL version: 2.1.3
% 21.15/4.30 % (3509609)Termination reason: Refutation not found, incomplete strategy
% 21.15/4.30 % (3509609)Time elapsed: 0.002 s
% 21.15/4.30 % (3509609)Peak memory usage: 88 MB
% 21.15/4.30 % (3509609)Instructions burned: 1 (million)
% 21.15/4.30 % (3509612)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3836976696:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 21.15/4.30 % (3509612)Instruction limit reached!
% 21.15/4.30 % (3509612)------------------------------
% 21.15/4.30 % (3509612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.15/4.30 % (3509612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/4.30 % (3509612)CaDiCaL version: 2.1.3
% 21.15/4.30 % (3509612)Termination reason: Instruction limit
% 21.15/4.30 % (3509612)Termination phase: Saturation
% 21.15/4.30 % (3509612)Time elapsed: 0.050 s
% 21.15/4.30 % (3509612)Peak memory usage: 89 MB
% 21.15/4.30 % (3509612)Instructions burned: 115 (million)
% 21.15/4.30 % (3509613)lrs+10_1_sil=8000:sp=occurrence:random_seed=2184773019:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 21.15/4.30 % (3509616)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3701258841:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 21.15/4.30 % (3509609)------------------------------
% 21.15/4.30 % (3509609)------------------------------
% 21.15/4.30 % (3509616)Instruction limit reached!
% 21.15/4.30 % (3509616)------------------------------
% 21.15/4.30 % (3509616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.15/4.30 % (3509616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/4.30 % (3509616)CaDiCaL version: 2.1.3
% 21.15/4.30 % (3509616)Termination reason: Instruction limit
% 21.15/4.30 % (3509616)Termination phase: Saturation
% 21.15/4.30 % (3509616)Time elapsed: 0.189 s
% 21.15/4.30 % (3509616)Peak memory usage: 92 MB
% 21.15/4.30 % (3509616)Instructions burned: 439 (million)
% 21.15/4.30 % (3509619)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3192662131:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 21.15/4.30 % (3509620)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3829268760:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 21.15/4.30 % (3509620)Refutation not found, incomplete strategy
% 21.15/4.30 % (3509620)------------------------------
% 21.15/4.30 % (3509620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.15/4.30 % (3509620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/4.30 % (3509620)CaDiCaL version: 2.1.3
% 21.15/4.30 % (3509620)Termination reason: Refutation not found, incomplete strategy
% 21.15/4.30 % (3509620)Time elapsed: 0.001 s
% 21.15/4.30 % (3509620)Peak memory usage: 88 MB
% 21.15/4.30 % (3509620)Instructions burned: 1 (million)
% 21.15/4.30 % (3509620)------------------------------
% 21.15/4.30 % (3509620)------------------------------
% 21.15/4.30 % (3509623)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4112239146:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 21.15/4.30 % (3509613)Instruction limit reached!
% 21.15/4.30 % (3509613)------------------------------
% 21.15/4.30 % (3509613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.97/4.30 % (3509613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.97/4.30 % (3509613)CaDiCaL version: 2.1.3
% 21.97/4.30 % (3509613)Termination reason: Instruction limit
% 21.97/4.30 % (3509613)Termination phase: Saturation
% 21.97/4.30 % (3509613)Time elapsed: 0.886 s
% 21.97/4.30 % (3509613)Peak memory usage: 97 MB
% 21.97/4.30 % (3509613)Instructions burned: 920 (million)
% 21.97/4.30 % (3509625)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3186862925:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 21.97/4.30 % (3509584)First to succeed.
% 21.97/4.30 % (3509584)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3509578"
% 21.97/4.30 % (3509623)Instruction limit reached!
% 21.97/4.30 % (3509623)------------------------------
% 21.97/4.30 % (3509623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.97/4.30 % (3509623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.97/4.30 % (3509623)CaDiCaL version: 2.1.3
% 21.97/4.30 % (3509623)Termination reason: Instruction limit
% 21.97/4.30 % (3509623)Termination phase: Saturation
% 21.97/4.30 % (3509623)Time elapsed: 0.329 s
% 21.97/4.30 % (3509623)Peak memory usage: 96 MB
% 21.97/4.30 % (3509623)Instructions burned: 594 (million)
% 21.97/4.30 % (3509627)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=1800189977:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 21.97/4.30 % (3509627)Instruction limit reached!
% 21.97/4.30 % (3509627)------------------------------
% 21.97/4.30 % (3509627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.97/4.30 % (3509627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.97/4.30 % (3509627)CaDiCaL version: 2.1.3
% 21.97/4.30 % (3509627)Termination reason: Instruction limit
% 21.97/4.30 % (3509627)Termination phase: Saturation
% 21.97/4.30 % (3509627)Time elapsed: 0.069 s
% 21.97/4.30 % (3509627)Peak memory usage: 90 MB
% 21.97/4.30 % (3509627)Instructions burned: 125 (million)
% 21.97/4.30 % (3509629)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1559804027:i=134:gtgl=5:slsql=off:gtg=exists_sym_2972 on theBenchmark for (2972ds/134Mi)
% 21.97/4.30 % (3509584)Refutation found. Thanks to Tanya!
% 21.97/4.30 % SZS status Theorem for theBenchmark
% 21.97/4.30 % SZS output start Proof for theBenchmark
% See solution above
% 22.27/4.69 % (3509584)------------------------------
% 22.27/4.69 % (3509584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.27/4.69 % (3509584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/4.69 % (3509584)CaDiCaL version: 2.1.3
% 22.27/4.69 % (3509584)Termination reason: Refutation
% 22.27/4.69 % (3509584)Time elapsed: 2.329 s
% 22.27/4.69 % (3509584)Peak memory usage: 142 MB
% 22.27/4.69 % (3509584)Instructions burned: 2196 (million)
% 22.27/4.69 % (3509584)------------------------------
% 22.27/4.69 % (3509584)------------------------------
% 22.27/4.69 % (3509578)Success in time 2.983 s
% 22.27/4.69 % Vampire exiting
%------------------------------------------------------------------------------