TSTP Solution File: KLE132+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : KLE132+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 05:32:13 EDT 2023
% Result : Theorem 35.10s 5.67s
% Output : CNFRefutation 35.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 86 ( 72 unt; 0 def)
% Number of atoms : 112 ( 111 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 42 ( 16 ~; 4 |; 12 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 111 ( 2 sgn; 81 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
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(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f13,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f15,axiom,
! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).
fof(f22,axiom,
! [X3,X4] : domain_difference(X3,X4) = multiplication(domain(X3),antidomain(X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_difference) ).
fof(f23,axiom,
! [X3,X4] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_diamond) ).
fof(f27,axiom,
! [X3] : divergence(X3) = forward_diamond(X3,divergence(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divergence1) ).
fof(f28,axiom,
! [X3,X4,X5] :
( addition(forward_diamond(X4,domain(X3)),domain(X5)) = addition(domain(X3),addition(forward_diamond(X4,domain(X3)),domain(X5)))
=> addition(divergence(X4),forward_diamond(star(X4),domain(X5))) = addition(domain(X3),addition(divergence(X4),forward_diamond(star(X4),domain(X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divergence2) ).
fof(f29,conjecture,
! [X3] :
( ! [X4] : forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))) = addition(forward_diamond(X3,domain(X4)),forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))))
=> ! [X5] :
( forward_diamond(X3,domain(X5)) = addition(domain(X5),forward_diamond(X3,domain(X5)))
=> zero = domain(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f30,negated_conjecture,
~ ! [X3] :
( ! [X4] : forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))) = addition(forward_diamond(X3,domain(X4)),forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))))
=> ! [X5] :
( forward_diamond(X3,domain(X5)) = addition(domain(X5),forward_diamond(X3,domain(X5)))
=> zero = domain(X5) ) ),
inference(negated_conjecture,[],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f32,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(rectify,[],[f13]) ).
fof(f34,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(rectify,[],[f15]) ).
fof(f35,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(rectify,[],[f16]) ).
fof(f41,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(rectify,[],[f22]) ).
fof(f42,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f23]) ).
fof(f46,plain,
! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
inference(rectify,[],[f27]) ).
fof(f47,plain,
! [X0,X1,X2] :
( addition(forward_diamond(X1,domain(X0)),domain(X2)) = addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2)))
=> addition(divergence(X1),forward_diamond(star(X1),domain(X2))) = addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) ),
inference(rectify,[],[f28]) ).
fof(f48,plain,
~ ! [X0] :
( ! [X1] : forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) = addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))))
=> ! [X2] :
( forward_diamond(X0,domain(X2)) = addition(domain(X2),forward_diamond(X0,domain(X2)))
=> zero = domain(X2) ) ),
inference(rectify,[],[f30]) ).
fof(f49,plain,
! [X0,X1,X2] :
( 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(ennf_transformation,[],[f47]) ).
fof(f50,plain,
? [X0] :
( ? [X2] :
( zero != domain(X2)
& forward_diamond(X0,domain(X2)) = addition(domain(X2),forward_diamond(X0,domain(X2))) )
& ! [X1] : forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) = addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) ),
inference(ennf_transformation,[],[f48]) ).
fof(f51,plain,
? [X0] :
( ? [X1] :
( zero != domain(X1)
& forward_diamond(X0,domain(X1)) = addition(domain(X1),forward_diamond(X0,domain(X1))) )
& ! [X2] : forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2)))) = addition(forward_diamond(X0,domain(X2)),forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2))))) ),
inference(rectify,[],[f50]) ).
fof(f52,plain,
( ? [X0] :
( ? [X1] :
( zero != domain(X1)
& forward_diamond(X0,domain(X1)) = addition(domain(X1),forward_diamond(X0,domain(X1))) )
& ! [X2] : forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2)))) = addition(forward_diamond(X0,domain(X2)),forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2))))) )
=> ( ? [X1] :
( zero != domain(X1)
& forward_diamond(sK0,domain(X1)) = addition(domain(X1),forward_diamond(sK0,domain(X1))) )
& ! [X2] : forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))) = addition(forward_diamond(sK0,domain(X2)),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
( ? [X1] :
( zero != domain(X1)
& forward_diamond(sK0,domain(X1)) = addition(domain(X1),forward_diamond(sK0,domain(X1))) )
=> ( zero != domain(sK1)
& forward_diamond(sK0,domain(sK1)) = addition(domain(sK1),forward_diamond(sK0,domain(sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
( zero != domain(sK1)
& forward_diamond(sK0,domain(sK1)) = addition(domain(sK1),forward_diamond(sK0,domain(sK1)))
& ! [X2] : forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))) = addition(forward_diamond(sK0,domain(X2)),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f51,f53,f52]) ).
fof(f55,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f56,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f31]) ).
fof(f57,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f60,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f64,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f65,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f66,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f32]) ).
fof(f68,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f69,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f35]) ).
fof(f75,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(cnf_transformation,[],[f41]) ).
fof(f76,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f42]) ).
fof(f80,plain,
! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
inference(cnf_transformation,[],[f46]) ).
fof(f81,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,[],[f49]) ).
fof(f82,plain,
! [X2] : forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))) = addition(forward_diamond(sK0,domain(X2)),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))),
inference(cnf_transformation,[],[f54]) ).
fof(f83,plain,
forward_diamond(sK0,domain(sK1)) = addition(domain(sK1),forward_diamond(sK0,domain(sK1))),
inference(cnf_transformation,[],[f54]) ).
fof(f84,plain,
zero != domain(sK1),
inference(cnf_transformation,[],[f54]) ).
fof(f88,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(antidomain(antidomain(X0)),antidomain(X1)),
inference(definition_unfolding,[],[f75,f69]) ).
fof(f89,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f76,f69,f69]) ).
fof(f91,plain,
! [X0] : divergence(X0) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))),
inference(definition_unfolding,[],[f80,f89]) ).
fof(f92,plain,
! [X2,X0,X1] :
( 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)))))))))
| 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)))) ),
inference(definition_unfolding,[],[f81,f89,f69,f69,f89,f69,f89,f69,f69,f69,f89,f69,f69]) ).
fof(f93,plain,
zero != antidomain(antidomain(sK1)),
inference(definition_unfolding,[],[f84,f69]) ).
fof(f94,plain,
antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),
inference(definition_unfolding,[],[f83,f89,f69,f69,f89,f69]) ).
fof(f95,plain,
! [X2] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X2)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2)))))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X2)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2))))))))))))))),
inference(definition_unfolding,[],[f82,f89,f88,f69,f89,f69,f89,f69,f89,f88,f69,f89,f69]) ).
cnf(c_49,plain,
addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f55]) ).
cnf(c_50,plain,
addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f56]) ).
cnf(c_51,plain,
addition(X0,zero) = X0,
inference(cnf_transformation,[],[f57]) ).
cnf(c_54,plain,
multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f60]) ).
cnf(c_58,plain,
multiplication(X0,zero) = zero,
inference(cnf_transformation,[],[f64]) ).
cnf(c_59,plain,
multiplication(zero,X0) = zero,
inference(cnf_transformation,[],[f65]) ).
cnf(c_60,plain,
multiplication(antidomain(X0),X0) = zero,
inference(cnf_transformation,[],[f66]) ).
cnf(c_62,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(cnf_transformation,[],[f68]) ).
cnf(c_66,plain,
antidomain(antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))) = divergence(X0),
inference(cnf_transformation,[],[f91]) ).
cnf(c_67,plain,
( addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2)))) != addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2)))
| addition(antidomain(antidomain(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2))))))))) = addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_68,negated_conjecture,
antidomain(antidomain(sK1)) != zero,
inference(cnf_transformation,[],[f93]) ).
cnf(c_69,negated_conjecture,
addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))) = antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),
inference(cnf_transformation,[],[f94]) ).
cnf(c_70,negated_conjecture,
addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))) = antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),
inference(cnf_transformation,[],[f95]) ).
cnf(c_89,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = one,
inference(theory_normalisation,[status(thm)],[c_62,c_50,c_49]) ).
cnf(c_2040,plain,
antidomain(one) = zero,
inference(superposition,[status(thm)],[c_54,c_60]) ).
cnf(c_2044,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_2071,plain,
addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0),
inference(superposition,[status(thm)],[c_69,c_50]) ).
cnf(c_2171,plain,
antidomain(antidomain(zero)) = divergence(zero),
inference(superposition,[status(thm)],[c_59,c_66]) ).
cnf(c_2180,plain,
addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0)))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(X0))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0)))))))))))))) = antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(X0))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0))))))))))))),
inference(superposition,[status(thm)],[c_66,c_70]) ).
cnf(c_2226,plain,
addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(sK0))),antidomain(divergence(sK0))))))))) = antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(sK0))),antidomain(divergence(sK0)))))))),
inference(superposition,[status(thm)],[c_66,c_2180]) ).
cnf(c_2230,plain,
addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),divergence(zero))))) = antidomain(antidomain(multiplication(star(sK0),divergence(zero)))),
inference(demodulation,[status(thm)],[c_2226,c_60,c_2171]) ).
cnf(c_2662,plain,
addition(antidomain(antidomain(sK1)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0))))))))) = addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0)))))))),
inference(superposition,[status(thm)],[c_2071,c_67]) ).
cnf(c_2689,plain,
addition(divergence(sK0),addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0))))))))) = addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(X0)))))))),
inference(theory_normalisation,[status(thm)],[c_2662,c_50,c_49]) ).
cnf(c_2707,plain,
addition(zero,antidomain(zero)) = one,
inference(superposition,[status(thm)],[c_2040,c_89]) ).
cnf(c_2844,plain,
antidomain(zero) = one,
inference(demodulation,[status(thm)],[c_2707,c_2044]) ).
cnf(c_2845,plain,
antidomain(one) = divergence(zero),
inference(demodulation,[status(thm)],[c_2171,c_2844]) ).
cnf(c_2972,plain,
addition(divergence(sK0),addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(one)))))))) = addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(one))))))),
inference(superposition,[status(thm)],[c_2844,c_2689]) ).
cnf(c_3095,plain,
divergence(zero) = zero,
inference(light_normalisation,[status(thm)],[c_2845,c_2040]) ).
cnf(c_3097,plain,
addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),zero)))) = antidomain(antidomain(multiplication(star(sK0),zero))),
inference(demodulation,[status(thm)],[c_2230,c_3095]) ).
cnf(c_3284,plain,
divergence(sK0) = zero,
inference(demodulation,[status(thm)],[c_3097,c_51,c_58,c_2040,c_2844]) ).
cnf(c_3378,plain,
addition(zero,addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(star(sK0),zero))))) = addition(zero,antidomain(antidomain(multiplication(star(sK0),zero)))),
inference(light_normalisation,[status(thm)],[c_2972,c_2040,c_2844,c_3284]) ).
cnf(c_3379,plain,
antidomain(antidomain(sK1)) = zero,
inference(demodulation,[status(thm)],[c_3378,c_51,c_58,c_2040,c_2044,c_2844]) ).
cnf(c_3380,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3379,c_68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : KLE132+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 12:15:27 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 35.10/5.67 % SZS status Started for theBenchmark.p
% 35.10/5.67 % SZS status Theorem for theBenchmark.p
% 35.10/5.67
% 35.10/5.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 35.10/5.67
% 35.10/5.67 ------ iProver source info
% 35.10/5.67
% 35.10/5.67 git: date: 2023-05-31 18:12:56 +0000
% 35.10/5.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 35.10/5.67 git: non_committed_changes: false
% 35.10/5.67 git: last_make_outside_of_git: false
% 35.10/5.67
% 35.10/5.67 ------ Parsing...
% 35.10/5.67 ------ Clausification by vclausify_rel & Parsing by iProver...
% 35.10/5.67
% 35.10/5.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 35.10/5.67
% 35.10/5.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 35.10/5.67
% 35.10/5.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 35.10/5.67 ------ Proving...
% 35.10/5.67 ------ Problem Properties
% 35.10/5.67
% 35.10/5.67
% 35.10/5.67 clauses 22
% 35.10/5.67 conjectures 3
% 35.10/5.67 EPR 0
% 35.10/5.67 Horn 22
% 35.10/5.67 unary 21
% 35.10/5.67 binary 1
% 35.10/5.67 lits 23
% 35.10/5.67 lits eq 23
% 35.10/5.67 fd_pure 0
% 35.10/5.67 fd_pseudo 0
% 35.10/5.67 fd_cond 0
% 35.10/5.67 fd_pseudo_cond 0
% 35.10/5.67 AC symbols 1
% 35.10/5.67
% 35.10/5.67 ------ Input Options Time Limit: Unbounded
% 35.10/5.67
% 35.10/5.67
% 35.10/5.67 ------
% 35.10/5.67 Current options:
% 35.10/5.67 ------
% 35.10/5.67
% 35.10/5.67
% 35.10/5.67
% 35.10/5.67
% 35.10/5.67 ------ Proving...
% 35.10/5.67
% 35.10/5.67
% 35.10/5.67 % SZS status Theorem for theBenchmark.p
% 35.10/5.67
% 35.10/5.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 35.10/5.68
% 35.10/5.68
%------------------------------------------------------------------------------