%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE112+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 : 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 11:40:22 AM UTC 2026
% Result : Theorem 21.03s 3.94s
% Output : Refutation 22.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 42
% Syntax : Number of formulae : 267 ( 267 unt; 19 def)
% Number of atoms : 267 ( 266 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 20 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 23 con; 0-2 aty)
% Number of variables : 255 ( 253 !; 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(f17,axiom,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',codomain2) ).
fof(f19,axiom,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain3) ).
fof(f20,axiom,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain4) ).
fof(f21,axiom,
! [X0] : c(X0) = antidomain(domain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement) ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_diamond) ).
fof(f24,axiom,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',backward_diamond) ).
fof(f25,axiom,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_box) ).
fof(f27,conjecture,
! [X0,X1] : addition(domain(X0),forward_box(X1,backward_diamond(X1,domain(X0)))) = forward_box(X1,backward_diamond(X1,domain(X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f28,negated_conjecture,
~ ! [X0,X1] : addition(domain(X0),forward_box(X1,backward_diamond(X1,domain(X0)))) = forward_box(X1,backward_diamond(X1,domain(X0))),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
? [X0,X1] : forward_box(X1,backward_diamond(X1,domain(X0))) != addition(domain(X0),forward_box(X1,backward_diamond(X1,domain(X0)))),
inference(ennf_transformation,[],[f28]) ).
fof(f30,plain,
forward_box(sK1,backward_diamond(sK1,domain(sK0))) != addition(domain(sK0),forward_box(sK1,backward_diamond(sK1,domain(sK0)))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f29]) ).
fof(f31,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f32,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f33,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f34,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f35,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f36,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f39,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f41,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f42,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f43,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(f44,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f45,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f46,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f47,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(f48,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f49,plain,
! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
inference(cnf_transformation,[],[f20]) ).
fof(f50,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(cnf_transformation,[],[f21]) ).
fof(f52,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f53,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f54,plain,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(cnf_transformation,[],[f25]) ).
fof(f56,plain,
forward_box(sK1,backward_diamond(sK1,domain(sK0))) != addition(domain(sK0),forward_box(sK1,backward_diamond(sK1,domain(sK0)))),
inference(cnf_transformation,[],[f30]) ).
fof(f57,plain,
! [X0] : c(X0) = antidomain(antidomain(antidomain(X0))),
inference(definition_unfolding,[],[f50,f45]) ).
fof(f58,plain,
! [X0,X1] : backward_diamond(X0,X1) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X1)),X0))),
inference(definition_unfolding,[],[f53,f49,f49]) ).
fof(f61,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f52,f45,f45]) ).
fof(f62,plain,
! [X0,X1] : forward_box(X0,X1) = antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(antidomain(X1))))))))))),
inference(definition_unfolding,[],[f54,f57,f61,f57]) ).
fof(f63,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(sK0)))),sK1)))))))))))))) != addition(antidomain(antidomain(sK0)),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK1,antidomain(antidomain(antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(sK0)))),sK1))))))))))))))),
inference(definition_unfolding,[],[f56,f62,f58,f45,f45,f62,f58,f45]) ).
fof(f64,definition,
sF2 = antidomain(sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f65,plain,
antidomain(sK0) = sF2,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF3 = antidomain(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f67,plain,
antidomain(sF2) = sF3,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF4 = coantidomain(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f69,plain,
coantidomain(sF3) = sF4,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
sF5 = coantidomain(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f71,plain,
coantidomain(sF4) = sF5,
inference(reorient_equations,[],[f70]) ).
fof(f72,definition,
sF6 = multiplication(sF5,sK1),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f73,plain,
multiplication(sF5,sK1) = sF6,
inference(reorient_equations,[],[f72]) ).
fof(f74,definition,
sF7 = coantidomain(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f75,plain,
coantidomain(sF6) = sF7,
inference(reorient_equations,[],[f74]) ).
fof(f76,definition,
sF8 = coantidomain(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f77,plain,
coantidomain(sF7) = sF8,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF9 = antidomain(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f79,plain,
antidomain(sF8) = sF9,
inference(reorient_equations,[],[f78]) ).
fof(f80,definition,
sF10 = antidomain(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f81,plain,
antidomain(sF9) = sF10,
inference(reorient_equations,[],[f80]) ).
fof(f82,definition,
sF11 = antidomain(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f83,plain,
antidomain(sF10) = sF11,
inference(reorient_equations,[],[f82]) ).
fof(f84,definition,
sF12 = antidomain(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f85,plain,
antidomain(sF11) = sF12,
inference(reorient_equations,[],[f84]) ).
fof(f86,definition,
sF13 = antidomain(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f87,plain,
antidomain(sF12) = sF13,
inference(reorient_equations,[],[f86]) ).
fof(f88,definition,
sF14 = multiplication(sK1,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f89,plain,
multiplication(sK1,sF13) = sF14,
inference(reorient_equations,[],[f88]) ).
fof(f90,definition,
sF15 = antidomain(sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f91,plain,
antidomain(sF14) = sF15,
inference(reorient_equations,[],[f90]) ).
fof(f92,definition,
sF16 = antidomain(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f93,plain,
antidomain(sF15) = sF16,
inference(reorient_equations,[],[f92]) ).
fof(f94,definition,
sF17 = antidomain(sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f95,plain,
antidomain(sF16) = sF17,
inference(reorient_equations,[],[f94]) ).
fof(f96,definition,
sF18 = antidomain(sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f97,plain,
antidomain(sF17) = sF18,
inference(reorient_equations,[],[f96]) ).
fof(f98,definition,
sF19 = antidomain(sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f99,plain,
antidomain(sF18) = sF19,
inference(reorient_equations,[],[f98]) ).
fof(f100,definition,
sF20 = addition(sF3,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f101,plain,
addition(sF3,sF19) = sF20,
inference(reorient_equations,[],[f100]) ).
fof(f102,plain,
sF19 != sF20,
inference(definition_folding,[],[f63,f101,f99,f97,f95,f93,f91,f89,f87,f85,f83,f81,f79,f77,f75,f73,f71,f69,f67,f65,f67,f65,f99,f97,f95,f93,f91,f89,f87,f85,f83,f81,f79,f77,f75,f73,f71,f69,f67,f65]) ).
fof(f118,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f31,f44]) ).
fof(f135,plain,
! [X0] : one = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(superposition,[],[f31,f48]) ).
fof(f159,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f39,f37]) ).
fof(f184,plain,
! [X0,X1] : multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f39,f42]) ).
fof(f185,plain,
! [X0,X1] : multiplication(addition(antidomain(X0),X1),X0) = addition(zero,multiplication(X1,X0)),
inference(superposition,[],[f39,f42]) ).
fof(f186,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f38,f42]) ).
fof(f187,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1)),
inference(superposition,[],[f38,f42]) ).
fof(f188,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = multiplication(antidomain(X0),X1),
inference(forward_demodulation,[],[f186,f33]) ).
fof(f189,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f184,f33]) ).
fof(f203,plain,
! [X0,X1] : multiplication(X1,X0) = multiplication(addition(antidomain(X0),X1),X0),
inference(superposition,[],[f189,f31]) ).
fof(f204,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f189,f44]) ).
fof(f211,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f204,f37]) ).
fof(f212,plain,
! [X0,X1] : multiplication(X1,X0) = addition(zero,multiplication(X1,X0)),
inference(forward_demodulation,[],[f203,f185]) ).
fof(f245,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f32,f38]) ).
fof(f247,plain,
! [X0,X1] : addition(one,X1) = addition(antidomain(antidomain(X0)),addition(antidomain(X0),X1)),
inference(superposition,[],[f32,f44]) ).
fof(f265,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f38,f36]) ).
fof(f267,plain,
zero = antidomain(one),
inference(superposition,[],[f42,f36]) ).
fof(f308,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,X1)) = multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f188,f38]) ).
fof(f309,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X1,X2)),multiplication(X0,X2)) = multiplication(antidomain(multiplication(X1,X2)),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f188,f39]) ).
fof(f340,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,[],[f309,f48]) ).
fof(f353,plain,
! [X0,X1] : multiplication(antidomain(multiplication(coantidomain(X0),X1)),multiplication(coantidomain(coantidomain(X0)),X1)) = multiplication(antidomain(multiplication(coantidomain(X0),X1)),X1),
inference(forward_demodulation,[],[f340,f37]) ).
fof(f393,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = addition(multiplication(X0,coantidomain(X1)),zero),
inference(superposition,[],[f39,f46]) ).
fof(f395,plain,
! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(X0,addition(X1,coantidomain(X0))),
inference(superposition,[],[f38,f46]) ).
fof(f398,plain,
zero = coantidomain(one),
inference(superposition,[],[f37,f46]) ).
fof(f402,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(X0,addition(X1,coantidomain(X0))),
inference(forward_demodulation,[],[f395,f33]) ).
fof(f404,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = multiplication(X0,coantidomain(X1)),
inference(forward_demodulation,[],[f393,f33]) ).
fof(f406,plain,
! [X0] : multiplication(sF4,X0) = multiplication(sF4,addition(X0,sF5)),
inference(superposition,[],[f402,f71]) ).
fof(f413,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,coantidomain(coantidomain(X0))),
inference(superposition,[],[f402,f48]) ).
fof(f414,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,[],[f402,f47]) ).
fof(f429,plain,
! [X0,X1] : zero = multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f414,f46]) ).
fof(f430,plain,
! [X0] : multiplication(X0,coantidomain(coantidomain(X0))) = X0,
inference(forward_demodulation,[],[f413,f36]) ).
fof(f435,plain,
! [X0,X1] : zero = multiplication(coantidomain(coantidomain(X0)),multiplication(X1,coantidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f429,f35]) ).
fof(f516,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f32,f34]) ).
fof(f521,plain,
! [X0,X1] : multiplication(zero,X1) = multiplication(X0,multiplication(coantidomain(X0),X1)),
inference(superposition,[],[f35,f46]) ).
fof(f527,plain,
! [X0,X1] : multiplication(zero,X1) = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(superposition,[],[f35,f42]) ).
fof(f553,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(forward_demodulation,[],[f527,f41]) ).
fof(f558,plain,
! [X0,X1] : zero = multiplication(X0,multiplication(coantidomain(X0),X1)),
inference(forward_demodulation,[],[f521,f41]) ).
fof(f583,plain,
one = coantidomain(coantidomain(one)),
inference(superposition,[],[f37,f430]) ).
fof(f585,plain,
one = coantidomain(zero),
inference(forward_demodulation,[],[f583,f398]) ).
fof(f714,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,[],[f189,f43]) ).
fof(f722,plain,
! [X0,X1] : zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f714,f42]) ).
fof(f824,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),multiplication(X0,coantidomain(zero))),
inference(superposition,[],[f435,f42]) ).
fof(f863,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),multiplication(X0,one)),
inference(forward_demodulation,[],[f824,f585]) ).
fof(f874,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f863,f36]) ).
fof(f899,plain,
! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(addition(X0,coantidomain(coantidomain(antidomain(X1)))),X1),
inference(superposition,[],[f39,f874]) ).
fof(f917,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,coantidomain(coantidomain(antidomain(X1)))),X1),
inference(forward_demodulation,[],[f899,f33]) ).
fof(f1113,plain,
! [X0,X1] : multiplication(X0,coantidomain(addition(X0,X1))) = multiplication(addition(X0,X1),coantidomain(addition(X0,X1))),
inference(superposition,[],[f404,f516]) ).
fof(f1117,plain,
! [X0,X1] : zero = multiplication(X0,coantidomain(addition(X0,X1))),
inference(forward_demodulation,[],[f1113,f46]) ).
fof(f1150,plain,
one = multiplication(antidomain(zero),one),
inference(superposition,[],[f211,f267]) ).
fof(f1155,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f1150,f36]) ).
fof(f1225,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,[],[f245,f39]) ).
fof(f1564,plain,
! [X0] : addition(zero,multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f187,f44]) ).
fof(f1667,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = addition(zero,multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0))),
inference(forward_demodulation,[],[f1564,f36]) ).
fof(f1702,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f1667,f212]) ).
fof(f1714,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f1702,f211]) ).
fof(f1724,plain,
sF2 = antidomain(antidomain(sF2)),
inference(superposition,[],[f1714,f65]) ).
fof(f1726,plain,
sF9 = antidomain(antidomain(sF9)),
inference(superposition,[],[f1714,f79]) ).
fof(f1728,plain,
sF11 = antidomain(antidomain(sF11)),
inference(superposition,[],[f1714,f83]) ).
fof(f1731,plain,
sF15 = antidomain(antidomain(sF15)),
inference(superposition,[],[f1714,f91]) ).
fof(f1733,plain,
sF17 = antidomain(antidomain(sF17)),
inference(superposition,[],[f1714,f95]) ).
fof(f1753,plain,
sF17 = antidomain(sF18),
inference(forward_demodulation,[],[f1733,f97]) ).
fof(f1755,plain,
sF15 = antidomain(sF16),
inference(forward_demodulation,[],[f1731,f93]) ).
fof(f1757,plain,
sF11 = antidomain(sF12),
inference(forward_demodulation,[],[f1728,f85]) ).
fof(f1759,plain,
sF9 = antidomain(sF10),
inference(forward_demodulation,[],[f1726,f81]) ).
fof(f1760,plain,
sF2 = antidomain(sF3),
inference(forward_demodulation,[],[f1724,f67]) ).
fof(f1762,plain,
sF17 = sF19,
inference(forward_demodulation,[],[f1753,f99]) ).
fof(f1764,plain,
sF15 = sF17,
inference(forward_demodulation,[],[f1755,f95]) ).
fof(f1765,plain,
sF11 = sF13,
inference(forward_demodulation,[],[f1757,f87]) ).
fof(f1767,plain,
sF9 = sF11,
inference(forward_demodulation,[],[f1759,f83]) ).
fof(f1771,plain,
sF20 = addition(sF3,sF17),
inference(superposition,[],[f101,f1762]) ).
fof(f1772,plain,
sF20 = addition(sF3,sF15),
inference(forward_demodulation,[],[f1771,f1764]) ).
fof(f1789,plain,
sF14 = multiplication(sK1,sF11),
inference(superposition,[],[f89,f1765]) ).
fof(f1790,plain,
sF14 = multiplication(sK1,sF9),
inference(forward_demodulation,[],[f1789,f1767]) ).
fof(f1994,plain,
one = addition(sF2,antidomain(sF2)),
inference(superposition,[],[f118,f1760]) ).
fof(f1995,plain,
one = addition(sF9,antidomain(sF9)),
inference(superposition,[],[f118,f79]) ).
fof(f2016,plain,
! [X0] : one = addition(antidomain(X0),one),
inference(superposition,[],[f516,f118]) ).
fof(f2035,plain,
one = addition(sF9,sF10),
inference(forward_demodulation,[],[f1995,f81]) ).
fof(f2036,plain,
one = addition(sF2,sF3),
inference(forward_demodulation,[],[f1994,f67]) ).
fof(f2057,plain,
multiplication(sF2,coantidomain(sF3)) = multiplication(one,coantidomain(sF3)),
inference(superposition,[],[f404,f2036]) ).
fof(f2061,plain,
coantidomain(sF3) = multiplication(sF2,coantidomain(sF3)),
inference(forward_demodulation,[],[f2057,f37]) ).
fof(f2064,plain,
sF4 = multiplication(sF2,sF4),
inference(forward_demodulation,[],[f2061,f69]) ).
fof(f2067,plain,
! [X0] : multiplication(sF2,addition(sF4,X0)) = addition(sF4,multiplication(sF2,X0)),
inference(superposition,[],[f38,f2064]) ).
fof(f2448,plain,
one = addition(sF9,one),
inference(superposition,[],[f516,f2035]) ).
fof(f2562,plain,
! [X0,X1] : zero = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1))))),
inference(superposition,[],[f722,f553]) ).
fof(f2563,plain,
! [X0,X1] : zero = multiplication(one,multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1))))),
inference(forward_demodulation,[],[f2562,f1155]) ).
fof(f2596,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f2563,f37]) ).
fof(f2616,plain,
one = addition(sF4,coantidomain(sF4)),
inference(superposition,[],[f135,f69]) ).
fof(f2618,plain,
one = addition(sF7,coantidomain(sF7)),
inference(superposition,[],[f135,f75]) ).
fof(f2620,plain,
! [X0] : multiplication(coantidomain(X0),one) = multiplication(coantidomain(X0),coantidomain(X0)),
inference(superposition,[],[f402,f135]) ).
fof(f2626,plain,
! [X0] : multiplication(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0)))) = multiplication(one,coantidomain(coantidomain(coantidomain(X0)))),
inference(superposition,[],[f404,f135]) ).
fof(f2630,plain,
! [X0] : coantidomain(coantidomain(coantidomain(X0))) = multiplication(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0)))),
inference(forward_demodulation,[],[f2626,f37]) ).
fof(f2635,plain,
! [X0] : coantidomain(X0) = multiplication(coantidomain(X0),coantidomain(X0)),
inference(forward_demodulation,[],[f2620,f36]) ).
fof(f2636,plain,
one = addition(sF7,sF8),
inference(forward_demodulation,[],[f2618,f77]) ).
fof(f2637,plain,
one = addition(sF4,sF5),
inference(forward_demodulation,[],[f2616,f71]) ).
fof(f2640,plain,
! [X0] : coantidomain(X0) = coantidomain(coantidomain(coantidomain(X0))),
inference(forward_demodulation,[],[f2630,f430]) ).
fof(f2645,plain,
sF4 = coantidomain(coantidomain(sF4)),
inference(superposition,[],[f2640,f69]) ).
fof(f2663,plain,
sF4 = coantidomain(sF5),
inference(forward_demodulation,[],[f2645,f71]) ).
fof(f2778,plain,
sF4 = multiplication(sF4,sF4),
inference(superposition,[],[f2635,f2663]) ).
fof(f2883,plain,
multiplication(antidomain(sF8),sF7) = multiplication(antidomain(sF8),one),
inference(superposition,[],[f188,f2636]) ).
fof(f2888,plain,
one = addition(sF7,one),
inference(superposition,[],[f516,f2636]) ).
fof(f2893,plain,
antidomain(sF8) = multiplication(antidomain(sF8),sF7),
inference(forward_demodulation,[],[f2883,f36]) ).
fof(f2895,plain,
sF9 = multiplication(sF9,sF7),
inference(forward_demodulation,[],[f2893,f79]) ).
fof(f2944,plain,
! [X0,X1] : addition(multiplication(X0,sF4),multiplication(addition(X0,X1),sF5)) = addition(multiplication(X0,one),multiplication(X1,sF5)),
inference(superposition,[],[f1225,f2637]) ).
fof(f3179,plain,
! [X0,X1] : addition(multiplication(X0,sF4),multiplication(addition(X0,X1),sF5)) = addition(X0,multiplication(X1,sF5)),
inference(forward_demodulation,[],[f2944,f36]) ).
fof(f3853,plain,
multiplication(addition(sF9,one),sF7) = addition(sF9,sF7),
inference(superposition,[],[f159,f2895]) ).
fof(f3921,plain,
addition(sF9,sF7) = multiplication(one,sF7),
inference(forward_demodulation,[],[f3853,f2448]) ).
fof(f3969,plain,
sF7 = addition(sF9,sF7),
inference(forward_demodulation,[],[f3921,f37]) ).
fof(f4717,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,[],[f308,f44]) ).
fof(f4720,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,[],[f308,f48]) ).
fof(f4795,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,coantidomain(X1))),multiplication(X0,coantidomain(coantidomain(X1)))) = multiplication(antidomain(multiplication(X0,coantidomain(X1))),X0),
inference(forward_demodulation,[],[f4720,f36]) ).
fof(f4798,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(X1))),X0),
inference(forward_demodulation,[],[f4717,f36]) ).
fof(f5004,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = addition(one,antidomain(X0)),
inference(superposition,[],[f247,f34]) ).
fof(f5034,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f5004,f44]) ).
fof(f5082,plain,
one = addition(one,sF2),
inference(superposition,[],[f5034,f1760]) ).
fof(f6156,plain,
! [X0] : multiplication(one,X0) = multiplication(coantidomain(antidomain(X0)),X0),
inference(superposition,[],[f917,f135]) ).
fof(f6224,plain,
! [X0] : multiplication(coantidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f6156,f37]) ).
fof(f6296,plain,
sF2 = multiplication(coantidomain(sF3),sF2),
inference(superposition,[],[f6224,f67]) ).
fof(f6367,plain,
sF2 = multiplication(sF4,sF2),
inference(forward_demodulation,[],[f6296,f69]) ).
fof(f6401,plain,
multiplication(sF4,addition(one,sF2)) = addition(sF4,sF2),
inference(superposition,[],[f265,f6367]) ).
fof(f6416,plain,
addition(sF4,sF2) = multiplication(sF4,one),
inference(forward_demodulation,[],[f6401,f5082]) ).
fof(f6425,plain,
sF4 = addition(sF4,sF2),
inference(forward_demodulation,[],[f6416,f36]) ).
fof(f6714,plain,
addition(sF4,multiplication(sF2,sF5)) = addition(multiplication(sF4,sF4),multiplication(sF4,sF5)),
inference(superposition,[],[f3179,f6425]) ).
fof(f6721,plain,
addition(sF4,multiplication(sF2,sF5)) = multiplication(sF4,addition(sF4,sF5)),
inference(forward_demodulation,[],[f6714,f38]) ).
fof(f6726,plain,
multiplication(sF4,sF4) = addition(sF4,multiplication(sF2,sF5)),
inference(forward_demodulation,[],[f6721,f406]) ).
fof(f6730,plain,
multiplication(sF4,sF4) = multiplication(sF2,addition(sF4,sF5)),
inference(forward_demodulation,[],[f6726,f2067]) ).
fof(f6733,plain,
multiplication(sF2,one) = multiplication(sF4,sF4),
inference(forward_demodulation,[],[f6730,f2637]) ).
fof(f6734,plain,
sF4 = multiplication(sF2,one),
inference(forward_demodulation,[],[f6733,f2778]) ).
fof(f6735,plain,
sF2 = sF4,
inference(forward_demodulation,[],[f6734,f36]) ).
fof(f6968,plain,
sF7 = addition(sF7,sF9),
inference(superposition,[],[f31,f3969]) ).
fof(f7912,plain,
! [X0,X1] : multiplication(antidomain(zero),X0) = multiplication(antidomain(zero),multiplication(X0,coantidomain(coantidomain(addition(X0,X1))))),
inference(superposition,[],[f4795,f1117]) ).
fof(f8019,plain,
! [X0,X1] : multiplication(one,X0) = multiplication(one,multiplication(X0,coantidomain(coantidomain(addition(X0,X1))))),
inference(forward_demodulation,[],[f7912,f1155]) ).
fof(f8035,plain,
! [X0,X1] : multiplication(one,X0) = multiplication(X0,coantidomain(coantidomain(addition(X0,X1)))),
inference(forward_demodulation,[],[f8019,f37]) ).
fof(f8043,plain,
! [X0,X1] : multiplication(X0,coantidomain(coantidomain(addition(X0,X1)))) = X0,
inference(forward_demodulation,[],[f8035,f37]) ).
fof(f10400,plain,
! [X0,X1] : multiplication(antidomain(zero),antidomain(X0)) = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(antidomain(multiplication(X0,X1)))))),
inference(superposition,[],[f4798,f2596]) ).
fof(f10449,plain,
! [X0,X1] : multiplication(antidomain(zero),antidomain(X0)) = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f10400,f1714]) ).
fof(f10514,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(one,multiplication(antidomain(X0),antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f10449,f1155]) ).
fof(f10560,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f10514,f37]) ).
fof(f10568,plain,
! [X0,X1] : antidomain(X0) = multiplication(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f10560,f37]) ).
fof(f10680,plain,
! [X0,X1] : multiplication(addition(antidomain(X0),one),antidomain(multiplication(X0,X1))) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(superposition,[],[f159,f10568]) ).
fof(f10701,plain,
! [X0,X1] : addition(antidomain(X0),antidomain(multiplication(X0,X1))) = multiplication(one,antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f10680,f2016]) ).
fof(f10755,plain,
! [X0,X1] : antidomain(multiplication(X0,X1)) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f10701,f37]) ).
fof(f11825,plain,
! [X0,X1] : multiplication(antidomain(zero),multiplication(coantidomain(coantidomain(coantidomain(X0))),multiplication(X1,coantidomain(multiplication(X0,X1))))) = multiplication(antidomain(zero),multiplication(X1,coantidomain(multiplication(X0,X1)))),
inference(superposition,[],[f353,f435]) ).
fof(f11940,plain,
! [X0,X1] : multiplication(one,multiplication(X1,coantidomain(multiplication(X0,X1)))) = multiplication(one,multiplication(coantidomain(coantidomain(coantidomain(X0))),multiplication(X1,coantidomain(multiplication(X0,X1))))),
inference(forward_demodulation,[],[f11825,f1155]) ).
fof(f11961,plain,
! [X0,X1] : multiplication(one,multiplication(X1,coantidomain(multiplication(X0,X1)))) = multiplication(coantidomain(coantidomain(coantidomain(X0))),multiplication(X1,coantidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f11940,f37]) ).
fof(f11971,plain,
! [X0,X1] : multiplication(one,multiplication(X1,coantidomain(multiplication(X0,X1)))) = multiplication(coantidomain(X0),multiplication(X1,coantidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f11961,f2640]) ).
fof(f11974,plain,
! [X0,X1] : multiplication(X1,coantidomain(multiplication(X0,X1))) = multiplication(coantidomain(X0),multiplication(X1,coantidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f11971,f37]) ).
fof(f12043,plain,
multiplication(sK1,coantidomain(sF6)) = multiplication(coantidomain(sF5),multiplication(sK1,coantidomain(sF6))),
inference(superposition,[],[f11974,f73]) ).
fof(f12138,plain,
multiplication(sK1,sF7) = multiplication(coantidomain(sF5),multiplication(sK1,sF7)),
inference(forward_demodulation,[],[f12043,f75]) ).
fof(f12196,plain,
multiplication(sK1,sF7) = multiplication(sF4,multiplication(sK1,sF7)),
inference(forward_demodulation,[],[f12138,f2663]) ).
fof(f12219,plain,
multiplication(sK1,sF7) = multiplication(sF2,multiplication(sK1,sF7)),
inference(forward_demodulation,[],[f12196,f6735]) ).
fof(f19467,plain,
! [X0,X1] : zero = multiplication(antidomain(zero),multiplication(X0,antidomain(antidomain(multiplication(coantidomain(X0),X1))))),
inference(superposition,[],[f722,f558]) ).
fof(f19517,plain,
! [X0,X1] : zero = multiplication(one,multiplication(X0,antidomain(antidomain(multiplication(coantidomain(X0),X1))))),
inference(forward_demodulation,[],[f19467,f1155]) ).
fof(f19554,plain,
! [X0,X1] : zero = multiplication(X0,antidomain(antidomain(multiplication(coantidomain(X0),X1)))),
inference(forward_demodulation,[],[f19517,f37]) ).
fof(f26726,plain,
! [X0,X1] : multiplication(antidomain(zero),X0) = multiplication(antidomain(zero),multiplication(X0,antidomain(antidomain(antidomain(multiplication(coantidomain(X0),X1)))))),
inference(superposition,[],[f4798,f19554]) ).
fof(f26842,plain,
! [X0,X1] : multiplication(antidomain(zero),X0) = multiplication(antidomain(zero),multiplication(X0,antidomain(multiplication(coantidomain(X0),X1)))),
inference(forward_demodulation,[],[f26726,f1714]) ).
fof(f26900,plain,
! [X0,X1] : multiplication(one,X0) = multiplication(one,multiplication(X0,antidomain(multiplication(coantidomain(X0),X1)))),
inference(forward_demodulation,[],[f26842,f1155]) ).
fof(f26938,plain,
! [X0,X1] : multiplication(one,X0) = multiplication(X0,antidomain(multiplication(coantidomain(X0),X1))),
inference(forward_demodulation,[],[f26900,f37]) ).
fof(f26947,plain,
! [X0,X1] : multiplication(X0,antidomain(multiplication(coantidomain(X0),X1))) = X0,
inference(forward_demodulation,[],[f26938,f37]) ).
fof(f26986,plain,
! [X0] : multiplication(X0,antidomain(coantidomain(X0))) = X0,
inference(superposition,[],[f26947,f8043]) ).
fof(f27148,plain,
sF7 = multiplication(sF7,antidomain(sF8)),
inference(superposition,[],[f26986,f77]) ).
fof(f27253,plain,
sF7 = multiplication(sF7,sF9),
inference(forward_demodulation,[],[f27148,f79]) ).
fof(f27320,plain,
addition(sF7,sF9) = multiplication(addition(sF7,one),sF9),
inference(superposition,[],[f159,f27253]) ).
fof(f27353,plain,
addition(sF7,sF9) = multiplication(one,sF9),
inference(forward_demodulation,[],[f27320,f2888]) ).
fof(f27365,plain,
sF9 = addition(sF7,sF9),
inference(forward_demodulation,[],[f27353,f37]) ).
fof(f27371,plain,
sF7 = sF9,
inference(forward_demodulation,[],[f27365,f6968]) ).
fof(f27378,plain,
sF14 = multiplication(sK1,sF7),
inference(superposition,[],[f1790,f27371]) ).
fof(f27394,plain,
sF14 = multiplication(sF2,sF14),
inference(superposition,[],[f12219,f27378]) ).
fof(f27500,plain,
antidomain(sF14) = addition(antidomain(sF2),antidomain(sF14)),
inference(superposition,[],[f10755,f27394]) ).
fof(f27505,plain,
sF15 = addition(antidomain(sF2),sF15),
inference(forward_demodulation,[],[f27500,f91]) ).
fof(f27525,plain,
sF15 = addition(sF3,sF15),
inference(forward_demodulation,[],[f27505,f67]) ).
fof(f27535,plain,
sF15 = sF20,
inference(forward_demodulation,[],[f27525,f1772]) ).
fof(f27539,plain,
sF15 != sF19,
inference(superposition,[],[f102,f27535]) ).
fof(f27544,plain,
sF15 != sF17,
inference(forward_demodulation,[],[f27539,f1762]) ).
fof(f27545,plain,
$false,
inference(forward_subsumption_resolution,[],[f27544,f1764]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE112+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 13:11:07 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 10.34/2.35 % (3511357)Detected formulas, will run a generic FOF schedule.
% 10.34/2.35 % (3511376)dis-21_1_sil=8000:lcm=predicate:random_seed=3926122662: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)
% 10.34/2.35 % (3511376)Refutation not found, incomplete strategy
% 10.34/2.35 % (3511376)------------------------------
% 10.34/2.35 % (3511376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.35 % (3511376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.35 % (3511376)CaDiCaL version: 2.1.3
% 10.34/2.35 % (3511376)Termination reason: Refutation not found, incomplete strategy
% 10.34/2.35 % (3511376)Time elapsed: 0.001 s
% 10.34/2.35 % (3511376)Peak memory usage: 88 MB
% 10.34/2.35 % (3511376)Instructions burned: 1 (million)
% 10.34/2.35 % (3511375)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4264158819:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.34/2.35 % (3511373)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3492287156:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.34/2.35 % (3511374)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=683642857:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.34/2.35 % (3511372)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=3096086606:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.34/2.35 % (3511370)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=494097181:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.34/2.35 % (3511373)Refutation not found, incomplete strategy
% 10.34/2.35 % (3511373)------------------------------
% 10.34/2.35 % (3511373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.35 % (3511373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.35 % (3511373)CaDiCaL version: 2.1.3
% 10.34/2.35 % (3511373)Termination reason: Refutation not found, incomplete strategy
% 10.34/2.35 % (3511373)Time elapsed: 0.002 s
% 10.34/2.35 % (3511373)Peak memory usage: 88 MB
% 10.34/2.35 % (3511371)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=4234541365:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.34/2.35 % (3511375)Instruction limit reached!
% 10.34/2.35 % (3511375)------------------------------
% 10.34/2.35 % (3511375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.35 % (3511375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.35 % (3511375)CaDiCaL version: 2.1.3
% 10.34/2.35 % (3511375)Termination reason: Instruction limit
% 10.34/2.35 % (3511375)Termination phase: Saturation
% 10.34/2.35 % (3511375)Time elapsed: 0.112 s
% 10.34/2.35 % (3511375)Peak memory usage: 89 MB
% 10.34/2.35 % (3511375)Instructions burned: 139 (million)
% 10.34/2.35 % (3511374)Instruction limit reached!
% 10.34/2.35 % (3511374)------------------------------
% 10.34/2.35 % (3511374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.35 % (3511374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.35 % (3511374)CaDiCaL version: 2.1.3
% 10.34/2.35 % (3511374)Termination reason: Instruction limit
% 10.34/2.35 % (3511374)Termination phase: Saturation
% 10.34/2.35 % (3511374)Time elapsed: 0.105 s
% 10.34/2.35 % (3511374)Peak memory usage: 88 MB
% 10.34/2.35 % (3511374)Instructions burned: 120 (million)
% 10.34/2.35 % (3511376)------------------------------
% 10.34/2.35 % (3511376)------------------------------
% 10.34/2.35 % (3511391)lrs+10_1_sil=8000:sp=occurrence:random_seed=3644444688:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.34/2.35 % (3511392)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2857531458:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 10.34/2.35 % (3511394)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2742452969:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 10.34/2.35 % (3511373)------------------------------
% 10.34/2.35 % (3511373)------------------------------
% 10.34/2.35 % (3511392)Instruction limit reached!
% 10.34/2.35 % (3511392)------------------------------
% 10.34/2.35 % (3511392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.77/3.10 % (3511392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.77/3.10 % (3511392)CaDiCaL version: 2.1.3
% 15.77/3.10 % (3511392)Termination reason: Instruction limit
% 15.77/3.10 % (3511392)Termination phase: Saturation
% 15.77/3.10 % (3511392)Time elapsed: 0.115 s
% 15.77/3.10 % (3511392)Peak memory usage: 89 MB
% 15.77/3.10 % (3511392)Instructions burned: 157 (million)
% 15.77/3.10 % (3511394)Instruction limit reached!
% 15.77/3.10 % (3511394)------------------------------
% 15.77/3.10 % (3511394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.77/3.10 % (3511394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.77/3.10 % (3511394)CaDiCaL version: 2.1.3
% 15.77/3.10 % (3511394)Termination reason: Instruction limit
% 15.77/3.10 % (3511394)Termination phase: Saturation
% 15.77/3.10 % (3511394)Time elapsed: 0.122 s
% 15.77/3.10 % (3511394)Peak memory usage: 92 MB
% 15.77/3.10 % (3511394)Instructions burned: 327 (million)
% 15.77/3.10 % (3511391)Instruction limit reached!
% 15.77/3.10 % (3511391)------------------------------
% 15.77/3.10 % (3511391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.77/3.10 % (3511391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.77/3.10 % (3511391)CaDiCaL version: 2.1.3
% 15.77/3.10 % (3511391)Termination reason: Instruction limit
% 15.77/3.10 % (3511391)Termination phase: Saturation
% 15.77/3.10 % (3511391)Time elapsed: 0.234 s
% 15.77/3.10 % (3511391)Peak memory usage: 91 MB
% 15.77/3.10 % (3511391)Instructions burned: 285 (million)
% 15.77/3.10 % (3511399)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=3261152743:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 15.77/3.10 % (3511401)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=465392922:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 15.77/3.10 % (3511401)Refutation not found, incomplete strategy
% 15.77/3.10 % (3511401)------------------------------
% 15.77/3.10 % (3511401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.77/3.10 % (3511401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.77/3.10 % (3511401)CaDiCaL version: 2.1.3
% 15.77/3.10 % (3511401)Termination reason: Refutation not found, incomplete strategy
% 15.77/3.10 % (3511401)Time elapsed: 0.002 s
% 15.77/3.10 % (3511401)Peak memory usage: 88 MB
% 15.77/3.10 % (3511401)Instructions burned: 2 (million)
% 15.77/3.10 % (3511402)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2528913806:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 15.77/3.10 % (3511399)Instruction limit reached!
% 15.77/3.10 % (3511399)------------------------------
% 15.77/3.10 % (3511399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.77/3.10 % (3511399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.77/3.10 % (3511399)CaDiCaL version: 2.1.3
% 15.77/3.10 % (3511399)Termination reason: Instruction limit
% 15.77/3.10 % (3511399)Termination phase: Saturation
% 15.77/3.10 % (3511399)Time elapsed: 0.079 s
% 15.77/3.10 % (3511399)Peak memory usage: 91 MB
% 15.77/3.10 % (3511399)Instructions burned: 248 (million)
% 15.77/3.10 % (3511403)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2939556556:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 15.77/3.10 % (3511403)Refutation not found, incomplete strategy
% 15.77/3.10 % (3511403)------------------------------
% 15.77/3.10 % (3511403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.77/3.10 % (3511403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.77/3.10 % (3511403)CaDiCaL version: 2.1.3
% 15.77/3.10 % (3511403)Termination reason: Refutation not found, incomplete strategy
% 15.77/3.10 % (3511403)Time elapsed: 0.002 s
% 15.77/3.10 % (3511403)Peak memory usage: 88 MB
% 15.77/3.10 % (3511403)Instructions burned: 1 (million)
% 15.77/3.10 % (3511407)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2153194320:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 15.77/3.10 % (3511407)Refutation not found, incomplete strategy
% 15.77/3.10 % (3511407)------------------------------
% 15.77/3.10 % (3511407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.77/3.10 % (3511407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.94 % (3511407)CaDiCaL version: 2.1.3
% 21.03/3.94 % (3511407)Termination reason: Refutation not found, incomplete strategy
% 21.03/3.94 % (3511407)Time elapsed: 0.001 s
% 21.03/3.94 % (3511407)Peak memory usage: 88 MB
% 21.03/3.94 % (3511407)Instructions burned: 1 (million)
% 21.03/3.94 % (3511372)Refutation not found, incomplete strategy
% 21.03/3.94 % (3511372)------------------------------
% 21.03/3.94 % (3511372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.03/3.94 % (3511372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.94 % (3511372)CaDiCaL version: 2.1.3
% 21.03/3.94 % (3511372)Termination reason: Refutation not found, incomplete strategy
% 21.03/3.94 % (3511372)Time elapsed: 0.765 s
% 21.03/3.94 % (3511372)Peak memory usage: 127 MB
% 21.03/3.94 % (3511372)Instructions burned: 884 (million)
% 21.03/3.94 % (3511401)------------------------------
% 21.03/3.94 % (3511401)------------------------------
% 21.03/3.94 % (3511407)------------------------------
% 21.03/3.94 % (3511407)------------------------------
% 21.03/3.94 % (3511403)------------------------------
% 21.03/3.94 % (3511403)------------------------------
% 21.03/3.94 % (3511413)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2684564769:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 21.03/3.94 % (3511427)lrs+10_1_sil=8000:sp=occurrence:random_seed=1232762037:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 21.03/3.94 % (3511413)Refutation not found, incomplete strategy
% 21.03/3.94 % (3511413)------------------------------
% 21.03/3.94 % (3511413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.03/3.94 % (3511413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.94 % (3511413)CaDiCaL version: 2.1.3
% 21.03/3.94 % (3511413)Termination reason: Refutation not found, incomplete strategy
% 21.03/3.94 % (3511413)Time elapsed: 0.002 s
% 21.03/3.94 % (3511413)Peak memory usage: 88 MB
% 21.03/3.94 % (3511413)Instructions burned: 1 (million)
% 21.03/3.94 % (3511372)------------------------------
% 21.03/3.94 % (3511372)------------------------------
% 21.03/3.94 % (3511452)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2286503198:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 21.03/3.94 % (3511452)Refutation not found, incomplete strategy
% 21.03/3.94 % (3511452)------------------------------
% 21.03/3.94 % (3511452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.03/3.94 % (3511452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.94 % (3511452)CaDiCaL version: 2.1.3
% 21.03/3.94 % (3511452)Termination reason: Refutation not found, incomplete strategy
% 21.03/3.94 % (3511452)Time elapsed: 0.001 s
% 21.03/3.94 % (3511452)Peak memory usage: 88 MB
% 21.03/3.94 % (3511500)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2262787041:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 21.03/3.94 % (3511413)------------------------------
% 21.03/3.94 % (3511413)------------------------------
% 21.03/3.94 % (3511427)Instruction limit reached!
% 21.03/3.94 % (3511427)------------------------------
% 21.03/3.94 % (3511427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.03/3.94 % (3511427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.94 % (3511427)CaDiCaL version: 2.1.3
% 21.03/3.94 % (3511427)Termination reason: Instruction limit
% 21.03/3.94 % (3511427)Termination phase: Saturation
% 21.03/3.94 % (3511427)Time elapsed: 0.295 s
% 21.03/3.94 % (3511427)Peak memory usage: 97 MB
% 21.03/3.94 % (3511427)Instructions burned: 907 (million)
% 21.03/3.94 % (3511452)------------------------------
% 21.03/3.94 % (3511452)------------------------------
% 21.03/3.94 % (3511524)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3029633914:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 21.03/3.94 % (3511524)Refutation not found, incomplete strategy
% 21.03/3.94 % (3511524)------------------------------
% 21.03/3.94 % (3511524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.03/3.94 % (3511524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.94 % (3511524)CaDiCaL version: 2.1.3
% 21.03/3.94 % (3511524)Termination reason: Refutation not found, incomplete strategy
% 21.03/3.94 % (3511524)Time elapsed: 0.002 s
% 21.03/3.94 % (3511524)Peak memory usage: 88 MB
% 21.03/3.94 % (3511524)Instructions burned: 1 (million)
% 21.03/3.94 % (3511526)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=905269153:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 21.03/3.94 % (3511539)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2523119379:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 21.03/3.94 % (3511526)Instruction limit reached!
% 21.03/3.94 % (3511526)------------------------------
% 21.03/3.94 % (3511526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.03/3.94 % (3511526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.94 % (3511526)CaDiCaL version: 2.1.3
% 21.03/3.94 % (3511526)Termination reason: Instruction limit
% 21.03/3.94 % (3511526)Termination phase: Saturation
% 21.03/3.94 % (3511526)Time elapsed: 0.183 s
% 21.03/3.94 % (3511526)Peak memory usage: 95 MB
% 21.03/3.94 % (3511526)Instructions burned: 594 (million)
% 21.03/3.94 % (3511524)------------------------------
% 21.03/3.94 % (3511524)------------------------------
% 21.03/3.94 % (3511577)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=1267690561:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 21.03/3.94 % (3511577)Instruction limit reached!
% 21.03/3.94 % (3511577)------------------------------
% 21.03/3.94 % (3511577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.03/3.94 % (3511577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.94 % (3511577)CaDiCaL version: 2.1.3
% 21.03/3.94 % (3511577)Termination reason: Instruction limit
% 21.03/3.94 % (3511577)Termination phase: Saturation
% 21.03/3.94 % (3511577)Time elapsed: 0.044 s
% 21.03/3.94 % (3511577)Peak memory usage: 90 MB
% 21.03/3.94 % (3511577)Instructions burned: 125 (million)
% 21.03/3.94 % (3511578)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3621030207:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 21.03/3.94 % (3511580)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3410002611:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 21.03/3.94 % (3511580)Refutation not found, incomplete strategy
% 21.03/3.94 % (3511580)------------------------------
% 21.03/3.94 % (3511580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.03/3.94 % (3511580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.94 % (3511580)CaDiCaL version: 2.1.3
% 21.03/3.94 % (3511580)Termination reason: Refutation not found, incomplete strategy
% 21.03/3.94 % (3511580)Time elapsed: 0.0000 s
% 21.03/3.94 % (3511580)Peak memory usage: 88 MB
% 21.03/3.94 % (3511578)Instruction limit reached!
% 21.03/3.94 % (3511578)------------------------------
% 21.03/3.94 % (3511578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.03/3.94 % (3511578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.94 % (3511578)CaDiCaL version: 2.1.3
% 21.03/3.94 % (3511578)Termination reason: Instruction limit
% 21.03/3.94 % (3511578)Termination phase: Saturation
% 21.03/3.94 % (3511578)Time elapsed: 0.072 s
% 21.03/3.94 % (3511578)Peak memory usage: 89 MB
% 21.03/3.94 % (3511578)Instructions burned: 135 (million)
% 21.03/3.94 % (3511580)------------------------------
% 21.03/3.94 % (3511580)------------------------------
% 21.03/3.94 % (3511583)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3600359913:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 21.03/3.94 % (3511583)Refutation not found, incomplete strategy
% 21.03/3.94 % (3511583)------------------------------
% 21.03/3.94 % (3511583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.03/3.94 % (3511583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.94 % (3511583)CaDiCaL version: 2.1.3
% 21.03/3.94 % (3511583)Termination reason: Refutation not found, incomplete strategy
% 21.03/3.94 % (3511583)Time elapsed: 0.001 s
% 21.03/3.94 % (3511583)Peak memory usage: 88 MB
% 21.03/3.94 % (3511583)Instructions burned: 1 (million)
% 21.03/3.94 % (3511584)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=2767553604:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 21.03/3.94 % (3511402)Instruction limit reached!
% 21.03/3.94 % (3511402)------------------------------
% 21.03/3.94 % (3511402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.03/3.94 % (3511402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.94 % (3511402)CaDiCaL version: 2.1.3
% 21.03/3.94 % (3511402)Termination reason: Instruction limit
% 21.03/3.94 % (3511402)Termination phase: Saturation
% 21.03/3.94 % (3511402)Time elapsed: 1.477 s
% 21.03/3.94 % (3511402)Peak memory usage: 143 MB
% 21.03/3.94 % (3511402)Instructions burned: 2350 (million)
% 21.03/3.94 % (3511583)------------------------------
% 21.03/3.94 % (3511583)------------------------------
% 21.03/3.94 % (3511587)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=1641118900:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2977 on theBenchmark for (2977ds/150Mi)
% 21.03/3.94 % (3511588)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1472893017:i=14155:bd=all_2976 on theBenchmark for (2976ds/14155Mi)
% 21.03/3.94 % (3511587)Instruction limit reached!
% 21.03/3.94 % (3511587)------------------------------
% 21.03/3.94 % (3511587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.03/3.94 % (3511587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.94 % (3511587)CaDiCaL version: 2.1.3
% 21.03/3.94 % (3511587)Termination reason: Instruction limit
% 21.03/3.94 % (3511587)Termination phase: Saturation
% 21.03/3.94 % (3511587)Time elapsed: 0.083 s
% 21.03/3.94 % (3511587)Peak memory usage: 90 MB
% 21.03/3.94 % (3511587)Instructions burned: 152 (million)
% 21.03/3.94 % (3511591)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2304251897:i=667:av=off:fsr=off_2975 on theBenchmark for (2975ds/667Mi)
% 21.03/3.94 % (3511591)Refutation not found, incomplete strategy
% 21.03/3.94 % (3511591)------------------------------
% 21.03/3.94 % (3511591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.03/3.94 % (3511591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.94 % (3511591)CaDiCaL version: 2.1.3
% 21.03/3.94 % (3511591)Termination reason: Refutation not found, incomplete strategy
% 21.03/3.94 % (3511591)Time elapsed: 0.002 s
% 21.03/3.94 % (3511591)Peak memory usage: 88 MB
% 21.03/3.94 % (3511591)Instructions burned: 1 (million)
% 21.03/3.94 % (3511370)First to succeed.
% 21.03/3.94 % (3511370)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3511357"
% 21.03/3.94 % (3511591)------------------------------
% 21.03/3.94 % (3511591)------------------------------
% 21.03/3.94 % (3511593)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=3874873771:s2a=on:i=185:s2at=1.8:fdi=4_2971 on theBenchmark for (2971ds/185Mi)
% 21.03/3.94 % (3511593)Instruction limit reached!
% 21.03/3.94 % (3511593)------------------------------
% 21.03/3.94 % (3511593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.03/3.94 % (3511593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.94 % (3511593)CaDiCaL version: 2.1.3
% 21.03/3.94 % (3511593)Termination reason: Instruction limit
% 21.03/3.94 % (3511593)Termination phase: Saturation
% 21.03/3.94 % (3511593)Time elapsed: 0.107 s
% 21.03/3.94 % (3511593)Peak memory usage: 90 MB
% 21.03/3.94 % (3511593)Instructions burned: 185 (million)
% 21.03/3.94 % (3511370)Refutation found. Thanks to Tanya!
% 21.03/3.94 % SZS status Theorem for theBenchmark
% 21.03/3.94 % SZS output start Proof for theBenchmark
% See solution above
% 22.36/4.07 % (3511370)------------------------------
% 22.36/4.07 % (3511370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.36/4.07 % (3511370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.36/4.07 % (3511370)CaDiCaL version: 2.1.3
% 22.36/4.07 % (3511370)Termination reason: Refutation
% 22.36/4.07 % (3511370)Time elapsed: 2.614 s
% 22.36/4.07 % (3511370)Peak memory usage: 162 MB
% 22.36/4.07 % (3511370)Instructions burned: 4039 (million)
% 22.36/4.07 % (3511370)------------------------------
% 22.36/4.07 % (3511370)------------------------------
% 22.36/4.07 % (3511357)Success in time 3.091 s
% 22.36/4.07 % Vampire exiting
%------------------------------------------------------------------------------