%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE130+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 : n001.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 11:40:25 AM UTC 2026
% Result : Theorem 27.03s 5.05s
% Output : Refutation 29.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 38
% Syntax : Number of formulae : 275 ( 187 unt; 19 def)
% Number of atoms : 386 ( 287 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 222 ( 111 ~; 104 |; 2 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 16 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 21 con; 0-2 aty)
% Number of variables : 175 ( 0 sgn 173 !; 2 ?)
% 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(f22,axiom,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_difference) ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).
fof(f27,axiom,
! [X0] : forward_diamond(X0,divergence(X0)) = divergence(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divergence1) ).
fof(f28,axiom,
! [X0,X1,X2] :
( addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) = addition(forward_diamond(X1,domain(X0)),domain(X2))
=> addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) = addition(divergence(X1),forward_diamond(star(X1),domain(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divergence2) ).
fof(f29,conjecture,
! [X0] :
( divergence(X0) = zero
=> ! [X1] : addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f30,negated_conjecture,
~ ! [X0] :
( divergence(X0) = zero
=> ! [X1] : addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) = addition(divergence(X1),forward_diamond(star(X1),domain(X2)))
| addition(forward_diamond(X1,domain(X0)),domain(X2)) != addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) ),
inference(ennf_transformation,[],[f28]) ).
fof(f32,plain,
? [X0] :
( ? [X1] : forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) != addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))))
& divergence(X0) = zero ),
inference(ennf_transformation,[],[f30]) ).
fof(f33,plain,
( forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1)))) != addition(domain(sK1),forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1)))))
& zero = divergence(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f32]) ).
fof(f34,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f35,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f36,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f37,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f39,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f40,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f41,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f42,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f44,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f45,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
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] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f48,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f54,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(cnf_transformation,[],[f22]) ).
fof(f55,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f59,plain,
! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
inference(cnf_transformation,[],[f27]) ).
fof(f60,plain,
! [X2,X0,X1] :
( addition(divergence(X1),forward_diamond(star(X1),domain(X2))) = addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2))))
| addition(forward_diamond(X1,domain(X0)),domain(X2)) != addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) ),
inference(cnf_transformation,[],[f31]) ).
fof(f61,plain,
zero = divergence(sK0),
inference(cnf_transformation,[],[f33]) ).
fof(f62,plain,
forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1)))) != addition(domain(sK1),forward_diamond(star(sK0),domain_difference(domain(sK1),forward_diamond(sK0,domain(sK1))))),
inference(cnf_transformation,[],[f33]) ).
fof(f66,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(antidomain(antidomain(X0)),antidomain(X1)),
inference(definition_unfolding,[],[f54,f48]) ).
fof(f67,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f55,f48,f48]) ).
fof(f69,plain,
! [X0] : divergence(X0) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))),
inference(definition_unfolding,[],[f59,f67]) ).
fof(f70,plain,
! [X2,X0,X1] :
( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2))) != addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2))))
| addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2))))))))) ),
inference(definition_unfolding,[],[f60,f67,f48,f48,f67,f48,f67,f48,f48,f48,f67,f48,f48]) ).
fof(f71,plain,
antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))))))))) != addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))))))))))),
inference(definition_unfolding,[],[f62,f67,f66,f48,f67,f48,f48,f67,f66,f48,f67,f48]) ).
fof(f72,definition,
sF2 = star(sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f73,plain,
star(sK0) = sF2,
inference(reorient_equations,[],[f72]) ).
fof(f74,definition,
sF3 = antidomain(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f75,plain,
antidomain(sK1) = sF3,
inference(reorient_equations,[],[f74]) ).
fof(f76,definition,
sF4 = antidomain(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f77,plain,
antidomain(sF3) = sF4,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF5 = antidomain(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f79,plain,
antidomain(sF4) = sF5,
inference(reorient_equations,[],[f78]) ).
fof(f80,definition,
sF6 = antidomain(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f81,plain,
antidomain(sF5) = sF6,
inference(reorient_equations,[],[f80]) ).
fof(f82,definition,
sF7 = multiplication(sK0,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f83,plain,
multiplication(sK0,sF6) = sF7,
inference(reorient_equations,[],[f82]) ).
fof(f84,definition,
sF8 = antidomain(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f85,plain,
antidomain(sF7) = sF8,
inference(reorient_equations,[],[f84]) ).
fof(f86,definition,
sF9 = antidomain(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f87,plain,
antidomain(sF8) = sF9,
inference(reorient_equations,[],[f86]) ).
fof(f88,definition,
sF10 = antidomain(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f89,plain,
antidomain(sF9) = sF10,
inference(reorient_equations,[],[f88]) ).
fof(f90,definition,
sF11 = multiplication(sF6,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f91,plain,
multiplication(sF6,sF10) = sF11,
inference(reorient_equations,[],[f90]) ).
fof(f92,definition,
sF12 = antidomain(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f93,plain,
antidomain(sF11) = sF12,
inference(reorient_equations,[],[f92]) ).
fof(f94,definition,
sF13 = antidomain(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f95,plain,
antidomain(sF12) = sF13,
inference(reorient_equations,[],[f94]) ).
fof(f96,definition,
sF14 = multiplication(sF2,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f97,plain,
multiplication(sF2,sF13) = sF14,
inference(reorient_equations,[],[f96]) ).
fof(f98,definition,
sF15 = antidomain(sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f99,plain,
antidomain(sF14) = sF15,
inference(reorient_equations,[],[f98]) ).
fof(f100,definition,
sF16 = antidomain(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f101,plain,
antidomain(sF15) = sF16,
inference(reorient_equations,[],[f100]) ).
fof(f102,definition,
sF17 = addition(sF4,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f103,plain,
addition(sF4,sF16) = sF17,
inference(reorient_equations,[],[f102]) ).
fof(f104,plain,
sF16 != sF17,
inference(definition_folding,[],[f71,f103,f101,f99,f97,f95,f93,f91,f89,f87,f85,f83,f81,f79,f77,f75,f81,f79,f77,f75,f73,f77,f75,f101,f99,f97,f95,f93,f91,f89,f87,f85,f83,f81,f79,f77,f75,f81,f79,f77,f75,f73]) ).
fof(f105,definition,
sF18 = divergence(sK0),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f106,plain,
divergence(sK0) = sF18,
inference(reorient_equations,[],[f105]) ).
fof(f107,plain,
zero = sF18,
inference(definition_folding,[],[f61,f106]) ).
fof(f108,plain,
zero = divergence(sK0),
inference(forward_demodulation,[],[f106,f107]) ).
fof(f116,plain,
one = addition(antidomain(sF12),sF12),
inference(superposition,[],[f47,f93]) ).
fof(f123,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f34,f47]) ).
fof(f125,plain,
one = addition(sF13,sF12),
inference(forward_demodulation,[],[f116,f95]) ).
fof(f131,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f42,f40]) ).
fof(f135,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f42,f40]) ).
fof(f150,plain,
! [X0] : one = addition(antidomain(divergence(X0)),divergence(X0)),
inference(superposition,[],[f47,f69]) ).
fof(f154,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f34,f36]) ).
fof(f187,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f35,f41]) ).
fof(f188,plain,
! [X0,X1] : addition(one,X1) = addition(antidomain(antidomain(X0)),addition(antidomain(X0),X1)),
inference(superposition,[],[f35,f47]) ).
fof(f194,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f34,f35]) ).
fof(f200,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f150,f108]) ).
fof(f206,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f200,f36]) ).
fof(f216,plain,
zero = multiplication(sF13,sF12),
inference(superposition,[],[f45,f95]) ).
fof(f219,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f41,f45]) ).
fof(f220,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1)),
inference(superposition,[],[f41,f45]) ).
fof(f221,plain,
! [X0,X1] : multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f42,f45]) ).
fof(f224,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f221,f36]) ).
fof(f225,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X0,X1)),
inference(forward_demodulation,[],[f220,f154]) ).
fof(f226,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = multiplication(antidomain(X0),X1),
inference(forward_demodulation,[],[f219,f36]) ).
fof(f303,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,X1)) = multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f226,f41]) ).
fof(f333,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f224,f47]) ).
fof(f340,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f333,f40]) ).
fof(f345,plain,
sF3 = multiplication(antidomain(sF4),sF3),
inference(superposition,[],[f340,f77]) ).
fof(f349,plain,
sF8 = multiplication(antidomain(sF9),sF8),
inference(superposition,[],[f340,f87]) ).
fof(f350,plain,
sF9 = multiplication(antidomain(sF10),sF9),
inference(superposition,[],[f340,f89]) ).
fof(f351,plain,
sF11 = multiplication(antidomain(sF12),sF11),
inference(superposition,[],[f340,f93]) ).
fof(f352,plain,
sF12 = multiplication(antidomain(sF13),sF12),
inference(superposition,[],[f340,f95]) ).
fof(f363,plain,
sF11 = multiplication(sF13,sF11),
inference(forward_demodulation,[],[f351,f95]) ).
fof(f364,plain,
sF8 = multiplication(sF10,sF8),
inference(forward_demodulation,[],[f349,f89]) ).
fof(f367,plain,
sF3 = multiplication(sF5,sF3),
inference(forward_demodulation,[],[f345,f79]) ).
fof(f417,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f35,f37]) ).
fof(f426,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(superposition,[],[f41,f39]) ).
fof(f427,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f41,f39]) ).
fof(f473,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,[],[f187,f42]) ).
fof(f614,plain,
! [X0,X1] : multiplication(zero,X1) = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(superposition,[],[f38,f45]) ).
fof(f641,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(forward_demodulation,[],[f614,f44]) ).
fof(f804,plain,
! [X0,X1] :
( addition(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(sF3)))))),antidomain(antidomain(X1))) != addition(antidomain(sF3),addition(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(sF3)))))),antidomain(antidomain(X1))))
| addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(sF3),addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1))))))))) ),
inference(superposition,[],[f70,f75]) ).
fof(f856,plain,
! [X0,X1] :
( addition(antidomain(antidomain(multiplication(X0,antidomain(antidomain(sF4))))),antidomain(antidomain(X1))) != addition(sF4,addition(antidomain(antidomain(multiplication(X0,antidomain(antidomain(sF4))))),antidomain(antidomain(X1))))
| addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(sF3),addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1))))))))) ),
inference(forward_demodulation,[],[f804,f77]) ).
fof(f874,plain,
! [X0,X1] :
( addition(antidomain(antidomain(multiplication(X0,antidomain(sF5)))),antidomain(antidomain(X1))) != addition(sF4,addition(antidomain(antidomain(multiplication(X0,antidomain(sF5)))),antidomain(antidomain(X1))))
| addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(sF3),addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1))))))))) ),
inference(forward_demodulation,[],[f856,f79]) ).
fof(f884,plain,
! [X0,X1] :
( addition(antidomain(antidomain(multiplication(X0,sF6))),antidomain(antidomain(X1))) != addition(sF4,addition(antidomain(antidomain(multiplication(X0,sF6))),antidomain(antidomain(X1))))
| addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(sF3),addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1))))))))) ),
inference(forward_demodulation,[],[f874,f81]) ).
fof(f889,plain,
! [X0,X1] :
( addition(antidomain(antidomain(multiplication(X0,sF6))),antidomain(antidomain(X1))) != addition(sF4,addition(antidomain(antidomain(multiplication(X0,sF6))),antidomain(antidomain(X1))))
| addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(sF4,addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1))))))))) ),
inference(forward_demodulation,[],[f884,f77]) ).
fof(f970,plain,
! [X0] :
( addition(antidomain(antidomain(sF7)),antidomain(antidomain(X0))) != addition(sF4,addition(antidomain(antidomain(sF7)),antidomain(antidomain(X0))))
| addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0)))))))) = addition(sF4,addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0))))))))) ),
inference(superposition,[],[f889,f83]) ).
fof(f996,plain,
! [X0] :
( addition(antidomain(sF8),antidomain(antidomain(X0))) != addition(sF4,addition(antidomain(sF8),antidomain(antidomain(X0))))
| addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0)))))))) = addition(sF4,addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0))))))))) ),
inference(forward_demodulation,[],[f970,f85]) ).
fof(f1007,plain,
! [X0] :
( addition(sF9,antidomain(antidomain(X0))) != addition(sF4,addition(sF9,antidomain(antidomain(X0))))
| addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0)))))))) = addition(sF4,addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0))))))))) ),
inference(forward_demodulation,[],[f996,f87]) ).
fof(f1014,plain,
! [X0] :
( addition(divergence(sK0),antidomain(antidomain(multiplication(sF2,antidomain(antidomain(antidomain(antidomain(X0)))))))) = addition(sF4,addition(divergence(sK0),antidomain(antidomain(multiplication(sF2,antidomain(antidomain(antidomain(antidomain(X0)))))))))
| addition(sF9,antidomain(antidomain(X0))) != addition(sF4,addition(sF9,antidomain(antidomain(X0)))) ),
inference(forward_demodulation,[],[f1007,f73]) ).
fof(f1019,plain,
! [X0] :
( addition(zero,antidomain(antidomain(multiplication(sF2,antidomain(antidomain(antidomain(antidomain(X0)))))))) = addition(sF4,addition(zero,antidomain(antidomain(multiplication(sF2,antidomain(antidomain(antidomain(antidomain(X0)))))))))
| addition(sF9,antidomain(antidomain(X0))) != addition(sF4,addition(sF9,antidomain(antidomain(X0)))) ),
inference(forward_demodulation,[],[f1014,f108]) ).
fof(f1023,plain,
! [X0] :
( addition(sF9,antidomain(antidomain(X0))) != addition(sF4,addition(sF9,antidomain(antidomain(X0))))
| antidomain(antidomain(multiplication(sF2,antidomain(antidomain(antidomain(antidomain(X0))))))) = addition(sF4,antidomain(antidomain(multiplication(sF2,antidomain(antidomain(antidomain(antidomain(X0)))))))) ),
inference(forward_demodulation,[],[f1019,f154]) ).
fof(f1733,definition,
( spl19_66
<=> one = addition(sF4,one) ),
introduced(definition,[new_symbols(definition,[spl19_66])],[avatar_definition]) ).
fof(f1734,plain,
( one = addition(sF4,one)
| ~ spl19_66 ),
inference(avatar_component_clause,[],[f1733]) ).
fof(f1735,plain,
( one != addition(sF4,one)
| spl19_66 ),
inference(avatar_component_clause,[],[f1733]) ).
fof(f2701,plain,
one = addition(sF3,antidomain(sF3)),
inference(superposition,[],[f123,f75]) ).
fof(f2702,plain,
one = addition(sF4,antidomain(sF4)),
inference(superposition,[],[f123,f77]) ).
fof(f2705,plain,
one = addition(sF8,antidomain(sF8)),
inference(superposition,[],[f123,f85]) ).
fof(f2706,plain,
one = addition(sF9,antidomain(sF9)),
inference(superposition,[],[f123,f87]) ).
fof(f2708,plain,
one = addition(sF12,antidomain(sF12)),
inference(superposition,[],[f123,f93]) ).
fof(f2738,plain,
one = addition(sF12,sF13),
inference(forward_demodulation,[],[f2708,f95]) ).
fof(f2739,plain,
one = addition(sF9,sF10),
inference(forward_demodulation,[],[f2706,f89]) ).
fof(f2740,plain,
one = addition(sF8,sF9),
inference(forward_demodulation,[],[f2705,f87]) ).
fof(f2742,plain,
one = addition(sF4,sF5),
inference(forward_demodulation,[],[f2702,f79]) ).
fof(f2743,plain,
one = addition(sF3,sF4),
inference(forward_demodulation,[],[f2701,f77]) ).
fof(f2752,plain,
multiplication(antidomain(sF4),sF3) = multiplication(antidomain(sF4),one),
inference(superposition,[],[f226,f2743]) ).
fof(f2760,plain,
antidomain(sF4) = multiplication(antidomain(sF4),sF3),
inference(forward_demodulation,[],[f2752,f39]) ).
fof(f2762,plain,
sF5 = multiplication(sF5,sF3),
inference(forward_demodulation,[],[f2760,f79]) ).
fof(f2764,plain,
sF3 = sF5,
inference(forward_demodulation,[],[f2762,f367]) ).
fof(f2765,plain,
antidomain(sF3) = sF6,
inference(superposition,[],[f81,f2764]) ).
fof(f2779,plain,
sF4 = sF6,
inference(forward_demodulation,[],[f2765,f77]) ).
fof(f2785,plain,
sF11 = multiplication(sF4,sF10),
inference(superposition,[],[f91,f2779]) ).
fof(f2928,plain,
one = addition(sF4,one),
inference(superposition,[],[f417,f2742]) ).
fof(f2933,plain,
( $false
| spl19_66 ),
inference(forward_subsumption_resolution,[],[f2928,f1735]) ).
fof(f2934,plain,
spl19_66,
inference(avatar_contradiction_clause,[],[f2933]) ).
fof(f2952,plain,
( one = addition(one,sF4)
| ~ spl19_66 ),
inference(superposition,[],[f34,f1734]) ).
fof(f2957,plain,
( ! [X0,X1] : addition(multiplication(X0,one),multiplication(X1,one)) = addition(multiplication(X0,sF4),multiplication(addition(X0,X1),one))
| ~ spl19_66 ),
inference(superposition,[],[f473,f1734]) ).
fof(f2960,plain,
( ! [X0,X1] : addition(multiplication(X0,one),multiplication(X1,one)) = addition(multiplication(X0,sF4),addition(X0,X1))
| ~ spl19_66 ),
inference(forward_demodulation,[],[f2957,f39]) ).
fof(f2964,plain,
( ! [X0,X1] : multiplication(addition(X0,X1),one) = addition(multiplication(X0,sF4),addition(X0,X1))
| ~ spl19_66 ),
inference(forward_demodulation,[],[f2960,f42]) ).
fof(f2967,plain,
( ! [X0,X1] : addition(X0,X1) = addition(multiplication(X0,sF4),addition(X0,X1))
| ~ spl19_66 ),
inference(forward_demodulation,[],[f2964,f39]) ).
fof(f3125,plain,
multiplication(antidomain(sF10),sF9) = multiplication(antidomain(sF10),one),
inference(superposition,[],[f226,f2739]) ).
fof(f3128,plain,
! [X0,X1] : addition(multiplication(X0,sF9),multiplication(addition(X0,X1),sF10)) = addition(multiplication(X0,one),multiplication(X1,sF10)),
inference(superposition,[],[f473,f2739]) ).
fof(f3133,plain,
! [X0,X1] : addition(X0,multiplication(X1,sF10)) = addition(multiplication(X0,sF9),multiplication(addition(X0,X1),sF10)),
inference(forward_demodulation,[],[f3128,f39]) ).
fof(f3135,plain,
antidomain(sF10) = multiplication(antidomain(sF10),sF9),
inference(forward_demodulation,[],[f3125,f39]) ).
fof(f3139,plain,
sF9 = antidomain(sF10),
inference(forward_demodulation,[],[f3135,f350]) ).
fof(f3171,plain,
multiplication(antidomain(sF13),sF12) = multiplication(antidomain(sF13),one),
inference(superposition,[],[f226,f2738]) ).
fof(f3181,plain,
antidomain(sF13) = multiplication(antidomain(sF13),sF12),
inference(forward_demodulation,[],[f3171,f39]) ).
fof(f3183,plain,
sF12 = antidomain(sF13),
inference(forward_demodulation,[],[f3181,f352]) ).
fof(f3206,plain,
zero = multiplication(sF9,sF10),
inference(superposition,[],[f45,f3139]) ).
fof(f3285,plain,
( addition(sF9,antidomain(sF12)) != addition(sF4,addition(sF9,antidomain(sF12)))
| antidomain(antidomain(multiplication(sF2,antidomain(antidomain(antidomain(sF12)))))) = addition(sF4,antidomain(antidomain(multiplication(sF2,antidomain(antidomain(antidomain(sF12))))))) ),
inference(superposition,[],[f1023,f3183]) ).
fof(f3288,plain,
( addition(sF9,sF13) != addition(sF4,addition(sF9,sF13))
| antidomain(antidomain(multiplication(sF2,antidomain(antidomain(antidomain(sF12)))))) = addition(sF4,antidomain(antidomain(multiplication(sF2,antidomain(antidomain(antidomain(sF12))))))) ),
inference(forward_demodulation,[],[f3285,f95]) ).
fof(f3829,plain,
multiplication(addition(sF4,one),sF10) = addition(sF11,sF10),
inference(superposition,[],[f135,f2785]) ).
fof(f3891,plain,
( multiplication(one,sF10) = addition(sF11,sF10)
| ~ spl19_66 ),
inference(forward_demodulation,[],[f3829,f1734]) ).
fof(f3922,plain,
( sF10 = addition(sF11,sF10)
| ~ spl19_66 ),
inference(forward_demodulation,[],[f3891,f40]) ).
fof(f4330,definition,
( spl19_107
<=> sF4 = addition(sF13,sF4) ),
introduced(definition,[new_symbols(definition,[spl19_107])],[avatar_definition]) ).
fof(f4331,plain,
( sF4 = addition(sF13,sF4)
| ~ spl19_107 ),
inference(avatar_component_clause,[],[f4330]) ).
fof(f4332,plain,
( sF4 != addition(sF13,sF4)
| spl19_107 ),
inference(avatar_component_clause,[],[f4330]) ).
fof(f4398,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,[],[f224,f46]) ).
fof(f4412,plain,
! [X0,X1] : zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f4398,f45]) ).
fof(f4861,plain,
! [X0] : multiplication(sF13,addition(X0,sF11)) = addition(multiplication(sF13,X0),sF11),
inference(superposition,[],[f41,f363]) ).
fof(f4963,plain,
multiplication(antidomain(sF9),sF8) = multiplication(antidomain(sF9),one),
inference(superposition,[],[f226,f2740]) ).
fof(f4965,plain,
one = addition(sF8,one),
inference(superposition,[],[f417,f2740]) ).
fof(f4966,plain,
! [X0,X1] : addition(multiplication(X0,sF8),multiplication(addition(X0,X1),sF9)) = addition(multiplication(X0,one),multiplication(X1,sF9)),
inference(superposition,[],[f473,f2740]) ).
fof(f4975,plain,
! [X0,X1] : addition(X0,multiplication(X1,sF9)) = addition(multiplication(X0,sF8),multiplication(addition(X0,X1),sF9)),
inference(forward_demodulation,[],[f4966,f39]) ).
fof(f4977,plain,
antidomain(sF9) = multiplication(antidomain(sF9),sF8),
inference(forward_demodulation,[],[f4963,f39]) ).
fof(f4980,plain,
sF10 = multiplication(sF10,sF8),
inference(forward_demodulation,[],[f4977,f89]) ).
fof(f4983,plain,
sF8 = sF10,
inference(forward_demodulation,[],[f4980,f364]) ).
fof(f4995,plain,
sF11 = multiplication(sF4,sF8),
inference(superposition,[],[f2785,f4983]) ).
fof(f6603,plain,
one = addition(sF13,one),
inference(superposition,[],[f417,f125]) ).
fof(f7515,plain,
addition(sF11,sF4) = multiplication(sF4,addition(sF8,one)),
inference(superposition,[],[f426,f4995]) ).
fof(f7596,plain,
multiplication(sF4,one) = addition(sF11,sF4),
inference(forward_demodulation,[],[f7515,f4965]) ).
fof(f7637,plain,
sF4 = addition(sF11,sF4),
inference(forward_demodulation,[],[f7596,f39]) ).
fof(f7688,plain,
sF4 = addition(sF4,sF11),
inference(superposition,[],[f34,f7637]) ).
fof(f7692,plain,
multiplication(antidomain(sF4),sF4) = multiplication(antidomain(sF4),sF11),
inference(superposition,[],[f226,f7637]) ).
fof(f7710,plain,
multiplication(sF5,sF4) = multiplication(sF5,sF11),
inference(forward_demodulation,[],[f7692,f79]) ).
fof(f7716,plain,
multiplication(sF3,sF4) = multiplication(sF3,sF11),
inference(forward_demodulation,[],[f7710,f2764]) ).
fof(f8165,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = addition(one,antidomain(X0)),
inference(superposition,[],[f188,f37]) ).
fof(f8206,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f8165,f47]) ).
fof(f8245,plain,
one = addition(one,sF9),
inference(superposition,[],[f8206,f3139]) ).
fof(f8471,plain,
zero = multiplication(antidomain(sF4),sF11),
inference(superposition,[],[f641,f2785]) ).
fof(f8531,plain,
zero = multiplication(sF5,sF11),
inference(forward_demodulation,[],[f8471,f79]) ).
fof(f8552,plain,
zero = multiplication(sF3,sF11),
inference(forward_demodulation,[],[f8531,f2764]) ).
fof(f8559,plain,
zero = multiplication(sF3,sF4),
inference(forward_demodulation,[],[f8552,f7716]) ).
fof(f9557,plain,
( addition(sF4,multiplication(one,sF9)) = addition(multiplication(sF4,sF8),multiplication(one,sF9))
| ~ spl19_66 ),
inference(superposition,[],[f4975,f1734]) ).
fof(f9639,plain,
( addition(sF4,sF9) = addition(multiplication(sF4,sF8),sF9)
| ~ spl19_66 ),
inference(forward_demodulation,[],[f9557,f40]) ).
fof(f9705,plain,
( addition(sF4,sF9) = addition(sF11,sF9)
| ~ spl19_66 ),
inference(forward_demodulation,[],[f9639,f4995]) ).
fof(f9811,plain,
( addition(sF4,sF9) = addition(sF9,sF11)
| ~ spl19_66 ),
inference(superposition,[],[f34,f9705]) ).
fof(f10119,plain,
( multiplication(antidomain(sF10),sF10) = multiplication(antidomain(sF10),sF11)
| ~ spl19_66 ),
inference(superposition,[],[f226,f3922]) ).
fof(f10139,plain,
( multiplication(sF9,sF10) = multiplication(sF9,sF11)
| ~ spl19_66 ),
inference(forward_demodulation,[],[f10119,f3139]) ).
fof(f10153,plain,
( zero = multiplication(sF9,sF11)
| ~ spl19_66 ),
inference(forward_demodulation,[],[f10139,f3206]) ).
fof(f10162,plain,
( antidomain(multiplication(sF9,antidomain(antidomain(sF11)))) = addition(antidomain(zero),antidomain(multiplication(sF9,antidomain(antidomain(sF11)))))
| ~ spl19_66 ),
inference(superposition,[],[f46,f10153]) ).
fof(f10182,plain,
( antidomain(multiplication(sF9,antidomain(sF12))) = addition(antidomain(zero),antidomain(multiplication(sF9,antidomain(sF12))))
| ~ spl19_66 ),
inference(forward_demodulation,[],[f10162,f93]) ).
fof(f10193,plain,
( antidomain(multiplication(sF9,sF13)) = addition(antidomain(zero),antidomain(multiplication(sF9,sF13)))
| ~ spl19_66 ),
inference(forward_demodulation,[],[f10182,f95]) ).
fof(f10196,plain,
( antidomain(multiplication(sF9,sF13)) = addition(one,antidomain(multiplication(sF9,sF13)))
| ~ spl19_66 ),
inference(forward_demodulation,[],[f10193,f206]) ).
fof(f10197,plain,
( one = antidomain(multiplication(sF9,sF13))
| ~ spl19_66 ),
inference(forward_demodulation,[],[f10196,f8206]) ).
fof(f10198,plain,
( ! [X0] : multiplication(one,multiplication(sF9,X0)) = multiplication(one,multiplication(sF9,addition(X0,sF13)))
| ~ spl19_66 ),
inference(superposition,[],[f303,f10197]) ).
fof(f10259,plain,
( ! [X0] : multiplication(one,multiplication(sF9,X0)) = multiplication(sF9,addition(X0,sF13))
| ~ spl19_66 ),
inference(forward_demodulation,[],[f10198,f40]) ).
fof(f10282,plain,
( ! [X0] : multiplication(sF9,X0) = multiplication(sF9,addition(X0,sF13))
| ~ spl19_66 ),
inference(forward_demodulation,[],[f10259,f40]) ).
fof(f13000,plain,
( multiplication(sF9,sF12) = multiplication(sF9,one)
| ~ spl19_66 ),
inference(superposition,[],[f10282,f2738]) ).
fof(f13027,plain,
( sF9 = multiplication(sF9,sF12)
| ~ spl19_66 ),
inference(forward_demodulation,[],[f13000,f39]) ).
fof(f13044,plain,
( multiplication(addition(one,sF9),sF12) = addition(sF12,sF9)
| ~ spl19_66 ),
inference(superposition,[],[f131,f13027]) ).
fof(f13058,plain,
( multiplication(one,sF12) = addition(sF12,sF9)
| ~ spl19_66 ),
inference(forward_demodulation,[],[f13044,f8245]) ).
fof(f13065,plain,
( sF12 = addition(sF12,sF9)
| ~ spl19_66 ),
inference(forward_demodulation,[],[f13058,f40]) ).
fof(f13075,plain,
( multiplication(antidomain(sF12),sF12) = multiplication(antidomain(sF12),sF9)
| ~ spl19_66 ),
inference(superposition,[],[f225,f13065]) ).
fof(f13094,plain,
( multiplication(sF13,sF12) = multiplication(sF13,sF9)
| ~ spl19_66 ),
inference(forward_demodulation,[],[f13075,f95]) ).
fof(f13103,plain,
( zero = multiplication(sF13,sF9)
| ~ spl19_66 ),
inference(forward_demodulation,[],[f13094,f216]) ).
fof(f13116,plain,
( ! [X0] : addition(zero,multiplication(sF13,X0)) = multiplication(sF13,addition(sF9,X0))
| ~ spl19_66 ),
inference(superposition,[],[f41,f13103]) ).
fof(f13144,plain,
( ! [X0] : multiplication(sF13,X0) = multiplication(sF13,addition(sF9,X0))
| ~ spl19_66 ),
inference(forward_demodulation,[],[f13116,f154]) ).
fof(f13308,plain,
zero = multiplication(antidomain(multiplication(sF3,sF4)),multiplication(sF3,antidomain(antidomain(sF11)))),
inference(superposition,[],[f4412,f7716]) ).
fof(f13468,plain,
zero = multiplication(antidomain(multiplication(sF3,sF4)),multiplication(sF3,antidomain(sF12))),
inference(forward_demodulation,[],[f13308,f93]) ).
fof(f13527,plain,
zero = multiplication(antidomain(multiplication(sF3,sF4)),multiplication(sF3,sF13)),
inference(forward_demodulation,[],[f13468,f95]) ).
fof(f13569,plain,
zero = multiplication(antidomain(zero),multiplication(sF3,sF13)),
inference(forward_demodulation,[],[f13527,f8559]) ).
fof(f13586,plain,
zero = multiplication(one,multiplication(sF3,sF13)),
inference(forward_demodulation,[],[f13569,f206]) ).
fof(f13593,plain,
zero = multiplication(sF3,sF13),
inference(forward_demodulation,[],[f13586,f40]) ).
fof(f13601,plain,
! [X0] : addition(zero,multiplication(X0,sF13)) = multiplication(addition(sF3,X0),sF13),
inference(superposition,[],[f42,f13593]) ).
fof(f13625,plain,
! [X0] : multiplication(X0,sF13) = multiplication(addition(sF3,X0),sF13),
inference(forward_demodulation,[],[f13601,f154]) ).
fof(f13643,plain,
multiplication(one,sF13) = multiplication(sF4,sF13),
inference(superposition,[],[f13625,f2743]) ).
fof(f13697,plain,
sF13 = multiplication(sF4,sF13),
inference(forward_demodulation,[],[f13643,f40]) ).
fof(f13730,plain,
addition(sF13,sF4) = multiplication(sF4,addition(sF13,one)),
inference(superposition,[],[f426,f13697]) ).
fof(f13738,plain,
addition(sF13,sF4) = multiplication(sF4,one),
inference(forward_demodulation,[],[f13730,f6603]) ).
fof(f13750,plain,
sF4 = addition(sF13,sF4),
inference(forward_demodulation,[],[f13738,f39]) ).
fof(f13754,plain,
( $false
| spl19_107 ),
inference(forward_subsumption_resolution,[],[f13750,f4332]) ).
fof(f13755,plain,
spl19_107,
inference(avatar_contradiction_clause,[],[f13754]) ).
fof(f13770,plain,
( ! [X0] : addition(X0,sF4) = addition(sF4,addition(X0,sF13))
| ~ spl19_107 ),
inference(superposition,[],[f194,f4331]) ).
fof(f13782,plain,
( addition(sF13,multiplication(sF4,sF10)) = addition(multiplication(sF13,sF9),multiplication(sF4,sF10))
| ~ spl19_107 ),
inference(superposition,[],[f3133,f4331]) ).
fof(f13787,plain,
( addition(sF13,sF11) = addition(multiplication(sF13,sF9),sF11)
| ~ spl19_107 ),
inference(forward_demodulation,[],[f13782,f2785]) ).
fof(f13800,plain,
( addition(sF13,sF11) = multiplication(sF13,addition(sF9,sF11))
| ~ spl19_107 ),
inference(forward_demodulation,[],[f13787,f4861]) ).
fof(f13805,plain,
( multiplication(sF13,sF11) = addition(sF13,sF11)
| ~ spl19_66
| ~ spl19_107 ),
inference(forward_demodulation,[],[f13800,f13144]) ).
fof(f13808,plain,
( sF11 = addition(sF13,sF11)
| ~ spl19_66
| ~ spl19_107 ),
inference(forward_demodulation,[],[f13805,f363]) ).
fof(f13943,plain,
( sF11 = addition(multiplication(sF13,sF4),sF11)
| ~ spl19_66
| ~ spl19_107 ),
inference(superposition,[],[f2967,f13808]) ).
fof(f13950,plain,
( sF11 = multiplication(sF13,addition(sF4,sF11))
| ~ spl19_66
| ~ spl19_107 ),
inference(forward_demodulation,[],[f13943,f4861]) ).
fof(f13961,plain,
( sF11 = multiplication(sF13,sF4)
| ~ spl19_66
| ~ spl19_107 ),
inference(forward_demodulation,[],[f13950,f7688]) ).
fof(f13987,plain,
( addition(sF13,sF11) = multiplication(sF13,addition(one,sF4))
| ~ spl19_66
| ~ spl19_107 ),
inference(superposition,[],[f427,f13961]) ).
fof(f13993,plain,
( addition(sF13,sF11) = multiplication(sF13,one)
| ~ spl19_66
| ~ spl19_107 ),
inference(forward_demodulation,[],[f13987,f2952]) ).
fof(f14005,plain,
( sF13 = addition(sF13,sF11)
| ~ spl19_66
| ~ spl19_107 ),
inference(forward_demodulation,[],[f13993,f39]) ).
fof(f14014,plain,
( sF11 = sF13
| ~ spl19_66
| ~ spl19_107 ),
inference(forward_demodulation,[],[f14005,f13808]) ).
fof(f14101,plain,
( addition(sF9,sF13) != addition(sF9,sF4)
| antidomain(antidomain(multiplication(sF2,antidomain(antidomain(antidomain(sF12)))))) = addition(sF4,antidomain(antidomain(multiplication(sF2,antidomain(antidomain(antidomain(sF12)))))))
| ~ spl19_107 ),
inference(forward_demodulation,[],[f3288,f13770]) ).
fof(f14107,plain,
( addition(sF9,sF4) != addition(sF9,sF11)
| antidomain(antidomain(multiplication(sF2,antidomain(antidomain(antidomain(sF12)))))) = addition(sF4,antidomain(antidomain(multiplication(sF2,antidomain(antidomain(antidomain(sF12)))))))
| ~ spl19_66
| ~ spl19_107 ),
inference(forward_demodulation,[],[f14101,f14014]) ).
fof(f14113,plain,
( addition(sF9,sF4) != addition(sF4,sF9)
| antidomain(antidomain(multiplication(sF2,antidomain(antidomain(antidomain(sF12)))))) = addition(sF4,antidomain(antidomain(multiplication(sF2,antidomain(antidomain(antidomain(sF12)))))))
| ~ spl19_66
| ~ spl19_107 ),
inference(forward_demodulation,[],[f14107,f9811]) ).
fof(f14118,plain,
( antidomain(antidomain(multiplication(sF2,antidomain(antidomain(antidomain(sF12)))))) = addition(sF4,antidomain(antidomain(multiplication(sF2,antidomain(antidomain(antidomain(sF12)))))))
| ~ spl19_66
| ~ spl19_107 ),
inference(forward_subsumption_resolution,[],[f14113,f34]) ).
fof(f14123,plain,
( antidomain(antidomain(multiplication(sF2,antidomain(antidomain(sF13))))) = addition(sF4,antidomain(antidomain(multiplication(sF2,antidomain(antidomain(sF13))))))
| ~ spl19_66
| ~ spl19_107 ),
inference(forward_demodulation,[],[f14118,f95]) ).
fof(f14128,plain,
( antidomain(antidomain(multiplication(sF2,antidomain(sF12)))) = addition(sF4,antidomain(antidomain(multiplication(sF2,antidomain(sF12)))))
| ~ spl19_66
| ~ spl19_107 ),
inference(forward_demodulation,[],[f14123,f3183]) ).
fof(f14133,plain,
( antidomain(antidomain(multiplication(sF2,sF13))) = addition(sF4,antidomain(antidomain(multiplication(sF2,sF13))))
| ~ spl19_66
| ~ spl19_107 ),
inference(forward_demodulation,[],[f14128,f95]) ).
fof(f14136,plain,
( antidomain(antidomain(sF14)) = addition(sF4,antidomain(antidomain(sF14)))
| ~ spl19_66
| ~ spl19_107 ),
inference(forward_demodulation,[],[f14133,f97]) ).
fof(f14139,plain,
( antidomain(sF15) = addition(sF4,antidomain(sF15))
| ~ spl19_66
| ~ spl19_107 ),
inference(forward_demodulation,[],[f14136,f99]) ).
fof(f14142,plain,
( sF16 = addition(sF4,sF16)
| ~ spl19_66
| ~ spl19_107 ),
inference(forward_demodulation,[],[f14139,f101]) ).
fof(f14145,plain,
( sF16 = sF17
| ~ spl19_66
| ~ spl19_107 ),
inference(forward_demodulation,[],[f14142,f103]) ).
fof(f14148,plain,
( $false
| ~ spl19_66
| ~ spl19_107 ),
inference(forward_subsumption_resolution,[],[f14145,f104]) ).
fof(f14149,plain,
( ~ spl19_66
| ~ spl19_107 ),
inference(avatar_contradiction_clause,[],[f14148]) ).
cnf(s64,plain,
spl19_66,
inference(sat_conversion,[],[f2934]) ).
cnf(s88,plain,
spl19_107,
inference(sat_conversion,[],[f13755]) ).
cnf(s91,plain,
( ~ spl19_66
| ~ spl19_107 ),
inference(sat_conversion,[],[f14149]) ).
cnf(s94,plain,
~ spl19_66,
inference(rat,[],[s91,s88]) ).
cnf(s97,plain,
$false,
inference(rat,[],[s64,s94]) ).
fof(f14159,plain,
$false,
inference(avatar_sat_refutation,[],[s97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE130+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 13:17:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 24.24/4.44 % (3563987)Detected formulas, will run a generic FOF schedule.
% 24.24/4.44 % (3564023)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4095241584:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 24.24/4.44 % (3564022)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4034161664:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 24.24/4.44 % (3564021)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1717277695:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 24.24/4.44 % (3564019)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=3080179578:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 24.24/4.44 % (3564018)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=1026627856:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 24.24/4.44 % (3564020)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=1032375202:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 24.24/4.44 % (3564023)Instruction limit reached!
% 24.24/4.44 % (3564023)------------------------------
% 24.24/4.44 % (3564023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.24/4.44 % (3564023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.24/4.44 % (3564023)CaDiCaL version: 2.1.3
% 24.24/4.44 % (3564023)Termination reason: Instruction limit
% 24.24/4.44 % (3564023)Termination phase: Saturation
% 24.24/4.44 % (3564023)Time elapsed: 0.072 s
% 24.24/4.44 % (3564023)Peak memory usage: 89 MB
% 24.24/4.44 % (3564023)Instructions burned: 139 (million)
% 24.24/4.44 % (3564024)dis-21_1_sil=8000:lcm=predicate:random_seed=423983780: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)
% 24.24/4.44 % (3564024)Refutation not found, incomplete strategy
% 24.24/4.44 % (3564024)------------------------------
% 24.24/4.44 % (3564024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.24/4.44 % (3564024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.24/4.44 % (3564024)CaDiCaL version: 2.1.3
% 24.24/4.44 % (3564024)Termination reason: Refutation not found, incomplete strategy
% 24.24/4.44 % (3564024)Time elapsed: 0.004 s
% 24.24/4.44 % (3564024)Peak memory usage: 88 MB
% 24.24/4.44 % (3564024)Instructions burned: 2 (million)
% 24.24/4.44 % (3564021)Instruction limit reached!
% 24.24/4.44 % (3564021)------------------------------
% 24.24/4.44 % (3564021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.24/4.44 % (3564021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.24/4.44 % (3564021)CaDiCaL version: 2.1.3
% 24.24/4.44 % (3564021)Termination reason: Instruction limit
% 24.24/4.44 % (3564021)Termination phase: Saturation
% 24.24/4.44 % (3564021)Time elapsed: 0.104 s
% 24.24/4.44 % (3564021)Peak memory usage: 89 MB
% 24.24/4.44 % (3564021)Instructions burned: 109 (million)
% 24.24/4.44 % (3564022)Instruction limit reached!
% 24.24/4.44 % (3564022)------------------------------
% 24.24/4.44 % (3564022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.24/4.44 % (3564022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.24/4.44 % (3564022)CaDiCaL version: 2.1.3
% 24.24/4.44 % (3564022)Termination reason: Instruction limit
% 24.24/4.44 % (3564022)Termination phase: Saturation
% 24.24/4.44 % (3564022)Time elapsed: 0.110 s
% 24.24/4.44 % (3564022)Peak memory usage: 88 MB
% 24.24/4.44 % (3564022)Instructions burned: 119 (million)
% 24.24/4.44 % (3564031)lrs+10_1_sil=8000:sp=occurrence:random_seed=243837146:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 24.24/4.44 % (3564033)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3536833156:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 24.24/4.44 % (3564034)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3938097363:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 24.24/4.44 % (3564024)------------------------------
% 24.24/4.44 % (3564024)------------------------------
% 24.24/4.44 % (3564031)Instruction limit reached!
% 24.24/4.44 % (3564031)------------------------------
% 24.24/4.44 % (3564031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.03/5.05 % (3564031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.03/5.05 % (3564031)CaDiCaL version: 2.1.3
% 27.03/5.05 % (3564031)Termination reason: Instruction limit
% 27.03/5.05 % (3564031)Termination phase: Saturation
% 27.03/5.05 % (3564031)Time elapsed: 0.152 s
% 27.03/5.05 % (3564031)Peak memory usage: 91 MB
% 27.03/5.05 % (3564031)Instructions burned: 286 (million)
% 27.03/5.05 % (3564033)Instruction limit reached!
% 27.03/5.05 % (3564033)------------------------------
% 27.03/5.05 % (3564033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.03/5.05 % (3564033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.03/5.05 % (3564033)CaDiCaL version: 2.1.3
% 27.03/5.05 % (3564033)Termination reason: Instruction limit
% 27.03/5.05 % (3564033)Termination phase: Saturation
% 27.03/5.05 % (3564033)Time elapsed: 0.152 s
% 27.03/5.05 % (3564033)Peak memory usage: 90 MB
% 27.03/5.05 % (3564033)Instructions burned: 158 (million)
% 27.03/5.05 % (3564038)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=860128539:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 27.03/5.05 % (3564039)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=264917556:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 27.03/5.05 % (3564034)Instruction limit reached!
% 27.03/5.05 % (3564034)------------------------------
% 27.03/5.05 % (3564034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.03/5.05 % (3564034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.03/5.05 % (3564034)CaDiCaL version: 2.1.3
% 27.03/5.05 % (3564034)Termination reason: Instruction limit
% 27.03/5.05 % (3564034)Termination phase: Saturation
% 27.03/5.05 % (3564034)Time elapsed: 0.325 s
% 27.03/5.05 % (3564034)Peak memory usage: 92 MB
% 27.03/5.05 % (3564034)Instructions burned: 325 (million)
% 27.03/5.05 % (3564040)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1070451622:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 27.03/5.05 % (3564038)Instruction limit reached!
% 27.03/5.05 % (3564038)------------------------------
% 27.03/5.05 % (3564038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.03/5.05 % (3564038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.03/5.05 % (3564038)CaDiCaL version: 2.1.3
% 27.03/5.05 % (3564038)Termination reason: Instruction limit
% 27.03/5.05 % (3564038)Termination phase: Saturation
% 27.03/5.05 % (3564038)Time elapsed: 0.131 s
% 27.03/5.05 % (3564038)Peak memory usage: 91 MB
% 27.03/5.05 % (3564038)Instructions burned: 249 (million)
% 27.03/5.05 % (3564039)Instruction limit reached!
% 27.03/5.05 % (3564039)------------------------------
% 27.03/5.05 % (3564039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.03/5.05 % (3564039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.03/5.05 % (3564039)CaDiCaL version: 2.1.3
% 27.03/5.05 % (3564039)Termination reason: Instruction limit
% 27.03/5.05 % (3564039)Termination phase: Saturation
% 27.03/5.05 % (3564039)Time elapsed: 0.276 s
% 27.03/5.05 % (3564039)Peak memory usage: 90 MB
% 27.03/5.05 % (3564039)Instructions burned: 294 (million)
% 27.03/5.05 % (3564043)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2495526887:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 27.03/5.05 % (3564043)Instruction limit reached!
% 27.03/5.05 % (3564043)------------------------------
% 27.03/5.05 % (3564043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.03/5.05 % (3564043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.03/5.05 % (3564043)CaDiCaL version: 2.1.3
% 27.03/5.05 % (3564043)Termination reason: Instruction limit
% 27.03/5.05 % (3564043)Termination phase: Saturation
% 27.03/5.05 % (3564043)Time elapsed: 0.117 s
% 27.03/5.05 % (3564043)Peak memory usage: 89 MB
% 27.03/5.05 % (3564043)Instructions burned: 113 (million)
% 27.03/5.05 % (3564045)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2223197274:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 27.03/5.05 % (3564045)Refutation not found, incomplete strategy
% 27.03/5.05 % (3564045)------------------------------
% 27.03/5.05 % (3564045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.03/5.05 % (3564045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.03/5.05 % (3564045)CaDiCaL version: 2.1.3
% 27.03/5.05 % (3564045)Termination reason: Refutation not found, incomplete strategy
% 27.03/5.05 % (3564045)Time elapsed: 0.002 s
% 27.03/5.05 % (3564045)Peak memory usage: 87 MB
% 27.03/5.05 % (3564045)Instructions burned: 1 (million)
% 27.03/5.05 % (3564046)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2273324763:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 27.03/5.05 % (3564046)Instruction limit reached!
% 27.03/5.05 % (3564046)------------------------------
% 27.03/5.05 % (3564046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.03/5.05 % (3564046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.03/5.05 % (3564046)CaDiCaL version: 2.1.3
% 27.03/5.05 % (3564046)Termination reason: Instruction limit
% 27.03/5.05 % (3564046)Termination phase: Saturation
% 27.03/5.05 % (3564046)Time elapsed: 0.103 s
% 27.03/5.05 % (3564046)Peak memory usage: 89 MB
% 27.03/5.05 % (3564046)Instructions burned: 115 (million)
% 27.03/5.05 % (3564048)lrs+10_1_sil=8000:sp=occurrence:random_seed=2143457329:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 27.03/5.05 % (3564045)------------------------------
% 27.03/5.05 % (3564045)------------------------------
% 27.03/5.05 % (3564051)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2084544991:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 27.03/5.05 % (3564051)Refutation not found, incomplete strategy
% 27.03/5.05 % (3564051)------------------------------
% 27.03/5.05 % (3564051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.03/5.05 % (3564051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.03/5.05 % (3564051)CaDiCaL version: 2.1.3
% 27.03/5.05 % (3564051)Termination reason: Refutation not found, incomplete strategy
% 27.03/5.05 % (3564051)Time elapsed: 0.003 s
% 27.03/5.05 % (3564051)Peak memory usage: 88 MB
% 27.03/5.05 % (3564051)Instructions burned: 1 (million)
% 27.03/5.05 % (3564053)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2678962342:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 27.03/5.05 % (3564051)------------------------------
% 27.03/5.05 % (3564051)------------------------------
% 27.03/5.05 % (3564048)Instruction limit reached!
% 27.03/5.05 % (3564048)------------------------------
% 27.03/5.05 % (3564048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.03/5.05 % (3564048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.03/5.05 % (3564048)CaDiCaL version: 2.1.3
% 27.03/5.05 % (3564048)Termination reason: Instruction limit
% 27.03/5.05 % (3564048)Termination phase: Saturation
% 27.03/5.05 % (3564048)Time elapsed: 0.857 s
% 27.03/5.05 % (3564048)Peak memory usage: 97 MB
% 27.03/5.05 % (3564048)Instructions burned: 908 (million)
% 27.03/5.05 % (3564056)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3427095792:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2975 on theBenchmark for (2975ds/134Mi)
% 27.03/5.05 % (3564056)Refutation not found, incomplete strategy
% 27.03/5.05 % (3564056)------------------------------
% 27.03/5.05 % (3564056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.03/5.05 % (3564056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.03/5.05 % (3564056)CaDiCaL version: 2.1.3
% 27.03/5.05 % (3564056)Termination reason: Refutation not found, incomplete strategy
% 27.03/5.05 % (3564056)Time elapsed: 0.004 s
% 27.03/5.05 % (3564056)Peak memory usage: 88 MB
% 27.03/5.05 % (3564056)Instructions burned: 1 (million)
% 27.03/5.05 % (3564057)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=351574760:st=8:i=592:sd=3:ep=RST:ss=axioms_2974 on theBenchmark for (2974ds/592Mi)
% 27.03/5.05 % (3564056)------------------------------
% 27.03/5.05 % (3564056)------------------------------
% 27.03/5.05 % (3564060)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4003372984:st=3:i=13193:sd=3:ss=axioms_2968 on theBenchmark for (2968ds/13193Mi)
% 27.03/5.05 % (3564057)Instruction limit reached!
% 27.03/5.05 % (3564057)------------------------------
% 27.03/5.05 % (3564057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.03/5.05 % (3564057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.03/5.05 % (3564057)CaDiCaL version: 2.1.3
% 27.03/5.05 % (3564057)Termination reason: Instruction limit
% 27.03/5.05 % (3564057)Termination phase: Saturation
% 27.03/5.05 % (3564057)Time elapsed: 0.537 s
% 27.03/5.05 % (3564057)Peak memory usage: 95 MB
% 27.03/5.05 % (3564057)Instructions burned: 592 (million)
% 27.03/5.05 % (3564018)First to succeed.
% 27.03/5.05 % (3564018)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3563987"
% 27.03/5.05 % (3564040)Instruction limit reached!
% 27.03/5.05 % (3564040)------------------------------
% 27.03/5.05 % (3564040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.03/5.05 % (3564040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.03/5.05 % (3564040)CaDiCaL version: 2.1.3
% 27.03/5.05 % (3564040)Termination reason: Instruction limit
% 27.03/5.05 % (3564040)Termination phase: Saturation
% 27.03/5.05 % (3564040)Time elapsed: 2.502 s
% 27.03/5.05 % (3564040)Peak memory usage: 143 MB
% 27.03/5.05 % (3564040)Instructions burned: 2351 (million)
% 27.03/5.05 % (3564062)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=1215257312:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/125Mi)
% 27.03/5.05 % (3564062)Instruction limit reached!
% 27.03/5.05 % (3564062)------------------------------
% 27.03/5.05 % (3564062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.03/5.05 % (3564062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.03/5.05 % (3564062)CaDiCaL version: 2.1.3
% 27.03/5.05 % (3564062)Termination reason: Instruction limit
% 27.03/5.05 % (3564062)Termination phase: Saturation
% 27.03/5.05 % (3564062)Time elapsed: 0.132 s
% 27.03/5.05 % (3564062)Peak memory usage: 90 MB
% 27.03/5.05 % (3564062)Instructions burned: 126 (million)
% 27.03/5.05 % (3564064)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1756776863:i=134:gtgl=5:slsql=off:gtg=exists_sym_2963 on theBenchmark for (2963ds/134Mi)
% 27.03/5.05 % (3564018)Refutation found. Thanks to Tanya!
% 27.03/5.05 % SZS status Theorem for theBenchmark
% 27.03/5.05 % SZS output start Proof for theBenchmark
% See solution above
% 29.34/5.36 % (3564018)------------------------------
% 29.34/5.36 % (3564018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.34/5.36 % (3564018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.34/5.36 % (3564018)CaDiCaL version: 2.1.3
% 29.34/5.36 % (3564018)Termination reason: Refutation
% 29.34/5.36 % (3564018)Time elapsed: 3.313 s
% 29.34/5.36 % (3564018)Peak memory usage: 151 MB
% 29.34/5.36 % (3564018)Instructions burned: 3110 (million)
% 29.34/5.36 % (3564018)------------------------------
% 29.34/5.36 % (3564018)------------------------------
% 29.34/5.36 % (3563987)Success in time 4.049 s
% 29.34/5.36 % Vampire exiting
%------------------------------------------------------------------------------