TSTP Solution File: KLE106+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE106+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n008.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 05:36:50 EDT 2023
% Result : Theorem 16.02s 2.70s
% Output : Refutation 16.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 45
% Syntax : Number of formulae : 295 ( 289 unt; 0 def)
% Number of atoms : 303 ( 302 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 37 ( 37 usr; 27 con; 0-2 aty)
% Number of variables : 204 (; 198 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f169945,plain,
$false,
inference(trivial_inequality_removal,[],[f169392]) ).
fof(f169392,plain,
sF4 != sF4,
inference(backward_demodulation,[],[f93,f169390]) ).
fof(f169390,plain,
sF4 = sF12,
inference(forward_demodulation,[],[f169367,f6446]) ).
fof(f6446,plain,
sF12 = addition(sF4,sF12),
inference(superposition,[],[f213,f132]) ).
fof(f132,plain,
sF12 = addition(sF4,sF11),
inference(superposition,[],[f63,f92]) ).
fof(f92,plain,
addition(sF11,sF4) = sF12,
introduced(function_definition,[]) ).
fof(f63,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',additive_commutativity) ).
fof(f213,plain,
! [X2,X3] : addition(X2,X3) = addition(X2,addition(X2,X3)),
inference(superposition,[],[f71,f55]) ).
fof(f55,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',additive_idempotence) ).
fof(f71,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',additive_associativity) ).
fof(f169367,plain,
sF4 = addition(sF4,sF12),
inference(superposition,[],[f11831,f169265]) ).
fof(f169265,plain,
sF12 = multiplication(sF4,sF12),
inference(forward_demodulation,[],[f169193,f54]) ).
fof(f54,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',multiplicative_left_identity) ).
fof(f169193,plain,
multiplication(one,sF12) = multiplication(sF4,sF12),
inference(superposition,[],[f162066,f187]) ).
fof(f187,plain,
one = addition(sF3,sF4),
inference(forward_demodulation,[],[f186,f84]) ).
fof(f84,plain,
antidomain(sF3) = sF4,
introduced(function_definition,[]) ).
fof(f186,plain,
one = addition(sF3,antidomain(sF3)),
inference(forward_demodulation,[],[f166,f63]) ).
fof(f166,plain,
one = addition(antidomain(sF3),sF3),
inference(superposition,[],[f62,f83]) ).
fof(f83,plain,
antidomain(sK2) = sF3,
introduced(function_definition,[]) ).
fof(f62,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',domain3) ).
fof(f162066,plain,
! [X4] : multiplication(addition(sF3,X4),sF12) = multiplication(X4,sF12),
inference(forward_demodulation,[],[f162005,f131]) ).
fof(f131,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f63,f52]) ).
fof(f52,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',additive_identity) ).
fof(f162005,plain,
! [X4] : multiplication(addition(sF3,X4),sF12) = addition(zero,multiplication(X4,sF12)),
inference(backward_demodulation,[],[f115899,f161978]) ).
fof(f161978,plain,
zero = multiplication(sF3,sF11),
inference(forward_demodulation,[],[f161977,f117806]) ).
fof(f117806,plain,
! [X0] : multiplication(sF3,X0) = multiplication(sF3,multiplication(sF17,X0)),
inference(superposition,[],[f72,f117707]) ).
fof(f117707,plain,
sF3 = multiplication(sF3,sF17),
inference(forward_demodulation,[],[f117627,f53]) ).
fof(f53,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',multiplicative_right_identity) ).
fof(f117627,plain,
multiplication(sF3,one) = multiplication(sF3,sF17),
inference(superposition,[],[f112253,f151]) ).
fof(f151,plain,
one = addition(sF16,sF17),
inference(forward_demodulation,[],[f150,f98]) ).
fof(f98,plain,
coantidomain(sF16) = sF17,
introduced(function_definition,[]) ).
fof(f150,plain,
one = addition(sF16,coantidomain(sF16)),
inference(forward_demodulation,[],[f141,f63]) ).
fof(f141,plain,
one = addition(coantidomain(sF16),sF16),
inference(superposition,[],[f61,f97]) ).
fof(f97,plain,
coantidomain(sF15) = sF16,
introduced(function_definition,[]) ).
fof(f61,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3] : one = addition(coantidomain(coantidomain(X3)),coantidomain(X3)),
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',codomain3) ).
fof(f112253,plain,
! [X27] : multiplication(sF3,X27) = multiplication(sF3,addition(sF16,X27)),
inference(backward_demodulation,[],[f647,f112248]) ).
fof(f112248,plain,
sF3 = sF15,
inference(forward_demodulation,[],[f111202,f109825]) ).
fof(f109825,plain,
sF3 = antidomain(sF4),
inference(backward_demodulation,[],[f94,f109824]) ).
fof(f109824,plain,
sF3 = sF13,
inference(forward_demodulation,[],[f109796,f27705]) ).
fof(f27705,plain,
sF13 = addition(sF3,sF13),
inference(forward_demodulation,[],[f27704,f63]) ).
fof(f27704,plain,
sF13 = addition(sF13,sF3),
inference(forward_demodulation,[],[f27703,f83]) ).
fof(f27703,plain,
sF13 = addition(sF13,antidomain(sK2)),
inference(forward_demodulation,[],[f27702,f63]) ).
fof(f27702,plain,
sF13 = addition(antidomain(sK2),sF13),
inference(forward_demodulation,[],[f27701,f94]) ).
fof(f27701,plain,
antidomain(sF4) = addition(antidomain(sK2),antidomain(sF4)),
inference(forward_demodulation,[],[f27662,f54]) ).
fof(f27662,plain,
antidomain(multiplication(one,sF4)) = addition(antidomain(sK2),antidomain(multiplication(one,sF4))),
inference(superposition,[],[f2676,f54]) ).
fof(f2676,plain,
! [X3] : antidomain(multiplication(X3,sF4)) = addition(antidomain(multiplication(X3,sK2)),antidomain(multiplication(X3,sF4))),
inference(forward_demodulation,[],[f2588,f84]) ).
fof(f2588,plain,
! [X3] : antidomain(multiplication(X3,antidomain(sF3))) = addition(antidomain(multiplication(X3,sK2)),antidomain(multiplication(X3,antidomain(sF3)))),
inference(superposition,[],[f70,f83]) ).
fof(f70,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] : antidomain(multiplication(X3,antidomain(antidomain(X4)))) = addition(antidomain(multiplication(X3,X4)),antidomain(multiplication(X3,antidomain(antidomain(X4))))),
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',domain2) ).
fof(f109796,plain,
sF3 = addition(sF3,sF13),
inference(superposition,[],[f17387,f15399]) ).
fof(f15399,plain,
sF13 = multiplication(sF13,sF3),
inference(forward_demodulation,[],[f15398,f53]) ).
fof(f15398,plain,
multiplication(sF13,one) = multiplication(sF13,sF3),
inference(forward_demodulation,[],[f15320,f94]) ).
fof(f15320,plain,
multiplication(antidomain(sF4),one) = multiplication(antidomain(sF4),sF3),
inference(superposition,[],[f664,f187]) ).
fof(f664,plain,
! [X14,X15] : multiplication(antidomain(X14),X15) = multiplication(antidomain(X14),addition(X15,X14)),
inference(forward_demodulation,[],[f600,f52]) ).
fof(f600,plain,
! [X14,X15] : multiplication(antidomain(X14),addition(X15,X14)) = addition(multiplication(antidomain(X14),X15),zero),
inference(superposition,[],[f73,f57]) ).
fof(f57,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',domain1) ).
fof(f73,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',right_distributivity) ).
fof(f17387,plain,
! [X137] : addition(X137,multiplication(sF13,X137)) = X137,
inference(forward_demodulation,[],[f17059,f54]) ).
fof(f17059,plain,
! [X137] : addition(X137,multiplication(sF13,X137)) = multiplication(one,X137),
inference(superposition,[],[f1035,f4635]) ).
fof(f4635,plain,
one = addition(one,sF13),
inference(forward_demodulation,[],[f4634,f55]) ).
fof(f4634,plain,
addition(one,one) = addition(one,sF13),
inference(forward_demodulation,[],[f4330,f853]) ).
fof(f853,plain,
! [X10] : addition(one,X10) = addition(one,addition(X10,one)),
inference(forward_demodulation,[],[f822,f306]) ).
fof(f306,plain,
! [X0] : addition(one,X0) = addition(one,addition(X0,sF5)),
inference(superposition,[],[f289,f63]) ).
fof(f289,plain,
! [X0] : addition(one,X0) = addition(one,addition(sF5,X0)),
inference(superposition,[],[f71,f286]) ).
fof(f286,plain,
one = addition(one,sF5),
inference(forward_demodulation,[],[f283,f55]) ).
fof(f283,plain,
addition(one,one) = addition(one,sF5),
inference(superposition,[],[f271,f185]) ).
fof(f185,plain,
one = addition(sF5,sF6),
inference(forward_demodulation,[],[f184,f86]) ).
fof(f86,plain,
antidomain(sF5) = sF6,
introduced(function_definition,[]) ).
fof(f184,plain,
one = addition(sF5,antidomain(sF5)),
inference(forward_demodulation,[],[f165,f63]) ).
fof(f165,plain,
one = addition(antidomain(sF5),sF5),
inference(superposition,[],[f62,f85]) ).
fof(f85,plain,
antidomain(sK1) = sF5,
introduced(function_definition,[]) ).
fof(f271,plain,
! [X2] : addition(one,X2) = addition(one,addition(X2,sF6)),
inference(superposition,[],[f268,f63]) ).
fof(f268,plain,
! [X0] : addition(one,X0) = addition(one,addition(sF6,X0)),
inference(superposition,[],[f71,f266]) ).
fof(f266,plain,
one = addition(one,sF6),
inference(forward_demodulation,[],[f264,f63]) ).
fof(f264,plain,
one = addition(sF6,one),
inference(superposition,[],[f254,f206]) ).
fof(f206,plain,
one = addition(sF22,sF23),
inference(forward_demodulation,[],[f205,f104]) ).
fof(f104,plain,
antidomain(sF22) = sF23,
introduced(function_definition,[]) ).
fof(f205,plain,
one = addition(sF22,antidomain(sF22)),
inference(forward_demodulation,[],[f177,f63]) ).
fof(f177,plain,
one = addition(antidomain(sF22),sF22),
inference(superposition,[],[f62,f103]) ).
fof(f103,plain,
antidomain(sF21) = sF22,
introduced(function_definition,[]) ).
fof(f254,plain,
! [X0] : addition(X0,sF23) = addition(sF6,addition(X0,sF23)),
inference(superposition,[],[f224,f63]) ).
fof(f224,plain,
! [X24] : addition(sF23,X24) = addition(sF6,addition(sF23,X24)),
inference(superposition,[],[f71,f107]) ).
fof(f107,plain,
sF23 = addition(sF6,sF23),
inference(backward_demodulation,[],[f105,f106]) ).
fof(f106,plain,
sF23 = sF24,
inference(definition_folding,[],[f82,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f84,f83,f86,f85,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f84,f83]) ).
fof(f95,plain,
antidomain(sF13) = sF14,
introduced(function_definition,[]) ).
fof(f96,plain,
antidomain(sF14) = sF15,
introduced(function_definition,[]) ).
fof(f99,plain,
multiplication(sF17,sK0) = sF18,
introduced(function_definition,[]) ).
fof(f100,plain,
coantidomain(sF18) = sF19,
introduced(function_definition,[]) ).
fof(f101,plain,
coantidomain(sF19) = sF20,
introduced(function_definition,[]) ).
fof(f102,plain,
antidomain(sF20) = sF21,
introduced(function_definition,[]) ).
fof(f82,plain,
antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK2))))))),sK0)))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK2))))))),sK0))))))),
inference(definition_unfolding,[],[f48,f77,f60,f60,f77,f60]) ).
fof(f60,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',domain4) ).
fof(f77,plain,
! [X0,X1] : backward_box(X0,X1) = antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(X1))))),X0)))))),
inference(definition_unfolding,[],[f67,f75,f76,f75]) ).
fof(f76,plain,
! [X0,X1] : backward_diamond(X0,X1) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X1)),X0))),
inference(definition_unfolding,[],[f66,f59,f59]) ).
fof(f59,plain,
! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3] : coantidomain(coantidomain(X3)) = codomain(X3),
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',codomain4) ).
fof(f66,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X3,X4] : backward_diamond(X3,X4) = codomain(multiplication(codomain(X4),X3)),
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',backward_diamond) ).
fof(f75,plain,
! [X0] : c(X0) = antidomain(antidomain(antidomain(X0))),
inference(definition_unfolding,[],[f58,f60]) ).
fof(f58,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3] : c(X3) = antidomain(domain(X3)),
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',complement) ).
fof(f67,plain,
! [X0,X1] : backward_box(X0,X1) = c(backward_diamond(X0,c(X1))),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] : backward_box(X0,X1) = c(backward_diamond(X0,c(X1))),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X3,X4] : backward_box(X3,X4) = c(backward_diamond(X3,c(X4))),
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',backward_box) ).
fof(f48,plain,
backward_box(sK0,domain(sK2)) = addition(domain(sK1),backward_box(sK0,domain(sK2))),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( domain(sK2) != addition(forward_diamond(sK0,domain(sK1)),domain(sK2))
& backward_box(sK0,domain(sK2)) = addition(domain(sK1),backward_box(sK0,domain(sK2))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f45,f46]) ).
fof(f46,plain,
( ? [X0,X1,X2] :
( domain(X2) != addition(forward_diamond(X0,domain(X1)),domain(X2))
& backward_box(X0,domain(X2)) = addition(domain(X1),backward_box(X0,domain(X2))) )
=> ( domain(sK2) != addition(forward_diamond(sK0,domain(sK1)),domain(sK2))
& backward_box(sK0,domain(sK2)) = addition(domain(sK1),backward_box(sK0,domain(sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0,X1,X2] :
( domain(X2) != addition(forward_diamond(X0,domain(X1)),domain(X2))
& backward_box(X0,domain(X2)) = addition(domain(X1),backward_box(X0,domain(X2))) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ! [X0,X1,X2] :
( backward_box(X0,domain(X2)) = addition(domain(X1),backward_box(X0,domain(X2)))
=> domain(X2) = addition(forward_diamond(X0,domain(X1)),domain(X2)) ),
inference(rectify,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X3,X4,X5] :
( backward_box(X3,domain(X5)) = addition(domain(X4),backward_box(X3,domain(X5)))
=> domain(X5) = addition(forward_diamond(X3,domain(X4)),domain(X5)) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X3,X4,X5] :
( backward_box(X3,domain(X5)) = addition(domain(X4),backward_box(X3,domain(X5)))
=> domain(X5) = addition(forward_diamond(X3,domain(X4)),domain(X5)) ),
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',goals) ).
fof(f105,plain,
addition(sF6,sF23) = sF24,
introduced(function_definition,[]) ).
fof(f822,plain,
! [X10] : addition(one,addition(X10,sF5)) = addition(one,addition(X10,one)),
inference(superposition,[],[f281,f185]) ).
fof(f281,plain,
! [X2,X3] : addition(one,addition(X2,X3)) = addition(one,addition(X2,addition(X3,sF6))),
inference(superposition,[],[f271,f71]) ).
fof(f4330,plain,
addition(one,one) = addition(one,addition(sF13,one)),
inference(superposition,[],[f3488,f189]) ).
fof(f189,plain,
one = addition(sF4,sF13),
inference(forward_demodulation,[],[f188,f94]) ).
fof(f188,plain,
one = addition(sF4,antidomain(sF4)),
inference(forward_demodulation,[],[f167,f63]) ).
fof(f167,plain,
one = addition(antidomain(sF4),sF4),
inference(superposition,[],[f62,f84]) ).
fof(f3488,plain,
! [X2,X3] : addition(one,addition(X3,X2)) = addition(one,addition(X2,addition(X3,X2))),
inference(superposition,[],[f925,f55]) ).
fof(f925,plain,
! [X8,X6,X7] : addition(one,addition(X8,addition(X6,X7))) = addition(one,addition(X6,addition(X7,X8))),
inference(superposition,[],[f858,f71]) ).
fof(f858,plain,
! [X2,X1] : addition(one,addition(X2,X1)) = addition(one,addition(X1,X2)),
inference(forward_demodulation,[],[f857,f288]) ).
fof(f288,plain,
! [X0,X1] : addition(one,addition(X0,X1)) = addition(one,addition(X0,addition(sF6,X1))),
inference(forward_demodulation,[],[f287,f71]) ).
fof(f287,plain,
! [X0,X1] : addition(addition(one,X0),X1) = addition(one,addition(X0,addition(sF6,X1))),
inference(forward_demodulation,[],[f284,f71]) ).
fof(f284,plain,
! [X0,X1] : addition(addition(one,X0),X1) = addition(one,addition(addition(X0,sF6),X1)),
inference(superposition,[],[f71,f271]) ).
fof(f857,plain,
! [X2,X1] : addition(one,addition(X2,addition(sF6,X1))) = addition(one,addition(X1,X2)),
inference(forward_demodulation,[],[f824,f71]) ).
fof(f824,plain,
! [X2,X1] : addition(one,addition(X1,X2)) = addition(one,addition(addition(X2,sF6),X1)),
inference(superposition,[],[f281,f63]) ).
fof(f1035,plain,
! [X12,X13] : multiplication(addition(one,X13),X12) = addition(X12,multiplication(X13,X12)),
inference(superposition,[],[f74,f54]) ).
fof(f74,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',left_distributivity) ).
fof(f94,plain,
antidomain(sF4) = sF13,
introduced(function_definition,[]) ).
fof(f111202,plain,
antidomain(sF4) = sF15,
inference(backward_demodulation,[],[f96,f111201]) ).
fof(f111201,plain,
sF4 = sF14,
inference(forward_demodulation,[],[f109826,f84]) ).
fof(f109826,plain,
antidomain(sF3) = sF14,
inference(backward_demodulation,[],[f95,f109824]) ).
fof(f647,plain,
! [X27] : multiplication(sF15,addition(sF16,X27)) = multiplication(sF15,X27),
inference(forward_demodulation,[],[f585,f131]) ).
fof(f585,plain,
! [X27] : multiplication(sF15,addition(sF16,X27)) = addition(zero,multiplication(sF15,X27)),
inference(superposition,[],[f73,f108]) ).
fof(f108,plain,
zero = multiplication(sF15,sF16),
inference(superposition,[],[f56,f97]) ).
fof(f56,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] : zero = multiplication(X3,coantidomain(X3)),
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',codomain1) ).
fof(f72,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',multiplicative_associativity) ).
fof(f161977,plain,
zero = multiplication(sF3,multiplication(sF17,sF11)),
inference(forward_demodulation,[],[f161872,f54]) ).
fof(f161872,plain,
zero = multiplication(one,multiplication(sF3,multiplication(sF17,sF11))),
inference(superposition,[],[f13520,f161791]) ).
fof(f161791,plain,
one = antidomain(multiplication(sF17,sF11)),
inference(forward_demodulation,[],[f161790,f4547]) ).
fof(f4547,plain,
! [X71] : one = addition(one,antidomain(X71)),
inference(forward_demodulation,[],[f4546,f55]) ).
fof(f4546,plain,
! [X71] : addition(one,one) = addition(one,antidomain(X71)),
inference(forward_demodulation,[],[f4323,f853]) ).
fof(f4323,plain,
! [X71] : addition(one,one) = addition(one,addition(antidomain(X71),one)),
inference(superposition,[],[f3488,f62]) ).
fof(f161790,plain,
antidomain(multiplication(sF17,sF11)) = addition(one,antidomain(multiplication(sF17,sF11))),
inference(forward_demodulation,[],[f161765,f183]) ).
fof(f183,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f164,f52]) ).
fof(f164,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f62,f129]) ).
fof(f129,plain,
zero = antidomain(one),
inference(superposition,[],[f57,f53]) ).
fof(f161765,plain,
antidomain(multiplication(sF17,sF11)) = addition(antidomain(zero),antidomain(multiplication(sF17,sF11))),
inference(superposition,[],[f2681,f161343]) ).
fof(f161343,plain,
zero = multiplication(sF17,sF9),
inference(forward_demodulation,[],[f161314,f125214]) ).
fof(f125214,plain,
multiplication(sF17,sF9) = multiplication(sF18,sF6),
inference(backward_demodulation,[],[f7128,f125153]) ).
fof(f125153,plain,
sF6 = sF8,
inference(forward_demodulation,[],[f123579,f86]) ).
fof(f123579,plain,
antidomain(sF5) = sF8,
inference(backward_demodulation,[],[f88,f123577]) ).
fof(f123577,plain,
sF5 = sF7,
inference(forward_demodulation,[],[f123549,f27129]) ).
fof(f27129,plain,
sF7 = addition(sF5,sF7),
inference(forward_demodulation,[],[f27128,f63]) ).
fof(f27128,plain,
sF7 = addition(sF7,sF5),
inference(forward_demodulation,[],[f27127,f85]) ).
fof(f27127,plain,
sF7 = addition(sF7,antidomain(sK1)),
inference(forward_demodulation,[],[f27126,f63]) ).
fof(f27126,plain,
sF7 = addition(antidomain(sK1),sF7),
inference(forward_demodulation,[],[f27125,f87]) ).
fof(f87,plain,
antidomain(sF6) = sF7,
introduced(function_definition,[]) ).
fof(f27125,plain,
antidomain(sF6) = addition(antidomain(sK1),antidomain(sF6)),
inference(forward_demodulation,[],[f27083,f54]) ).
fof(f27083,plain,
antidomain(multiplication(one,sF6)) = addition(antidomain(sK1),antidomain(multiplication(one,sF6))),
inference(superposition,[],[f2675,f54]) ).
fof(f2675,plain,
! [X2] : antidomain(multiplication(X2,sF6)) = addition(antidomain(multiplication(X2,sK1)),antidomain(multiplication(X2,sF6))),
inference(forward_demodulation,[],[f2587,f86]) ).
fof(f2587,plain,
! [X2] : antidomain(multiplication(X2,antidomain(sF5))) = addition(antidomain(multiplication(X2,sK1)),antidomain(multiplication(X2,antidomain(sF5)))),
inference(superposition,[],[f70,f85]) ).
fof(f123549,plain,
sF5 = addition(sF5,sF7),
inference(superposition,[],[f17382,f15403]) ).
fof(f15403,plain,
sF7 = multiplication(sF7,sF5),
inference(forward_demodulation,[],[f15402,f53]) ).
fof(f15402,plain,
multiplication(sF7,one) = multiplication(sF7,sF5),
inference(forward_demodulation,[],[f15323,f87]) ).
fof(f15323,plain,
multiplication(antidomain(sF6),one) = multiplication(antidomain(sF6),sF5),
inference(superposition,[],[f664,f185]) ).
fof(f17382,plain,
! [X132] : addition(X132,multiplication(sF7,X132)) = X132,
inference(forward_demodulation,[],[f17054,f54]) ).
fof(f17054,plain,
! [X132] : addition(X132,multiplication(sF7,X132)) = multiplication(one,X132),
inference(superposition,[],[f1035,f274]) ).
fof(f274,plain,
one = addition(one,sF7),
inference(forward_demodulation,[],[f269,f55]) ).
fof(f269,plain,
addition(one,sF7) = addition(one,one),
inference(superposition,[],[f268,f193]) ).
fof(f193,plain,
one = addition(sF6,sF7),
inference(forward_demodulation,[],[f192,f87]) ).
fof(f192,plain,
one = addition(sF6,antidomain(sF6)),
inference(forward_demodulation,[],[f169,f63]) ).
fof(f169,plain,
one = addition(antidomain(sF6),sF6),
inference(superposition,[],[f62,f86]) ).
fof(f88,plain,
antidomain(sF7) = sF8,
introduced(function_definition,[]) ).
fof(f7128,plain,
multiplication(sF18,sF8) = multiplication(sF17,sF9),
inference(superposition,[],[f356,f89]) ).
fof(f89,plain,
multiplication(sK0,sF8) = sF9,
introduced(function_definition,[]) ).
fof(f356,plain,
! [X30] : multiplication(sF17,multiplication(sK0,X30)) = multiplication(sF18,X30),
inference(superposition,[],[f72,f99]) ).
fof(f161314,plain,
zero = multiplication(sF18,sF6),
inference(superposition,[],[f87936,f161237]) ).
fof(f161237,plain,
sF6 = multiplication(sF21,sF6),
inference(forward_demodulation,[],[f161198,f54]) ).
fof(f161198,plain,
multiplication(one,sF6) = multiplication(sF21,sF6),
inference(superposition,[],[f144133,f204]) ).
fof(f204,plain,
one = addition(sF21,sF22),
inference(forward_demodulation,[],[f203,f103]) ).
fof(f203,plain,
one = addition(sF21,antidomain(sF21)),
inference(forward_demodulation,[],[f176,f63]) ).
fof(f176,plain,
one = addition(antidomain(sF21),sF21),
inference(superposition,[],[f62,f102]) ).
fof(f144133,plain,
! [X3] : multiplication(X3,sF6) = multiplication(addition(X3,sF22),sF6),
inference(forward_demodulation,[],[f143016,f103]) ).
fof(f143016,plain,
! [X3] : multiplication(X3,sF6) = multiplication(addition(X3,antidomain(sF21)),sF6),
inference(backward_demodulation,[],[f15542,f142910]) ).
fof(f142910,plain,
sF21 = sF23,
inference(forward_demodulation,[],[f142883,f32052]) ).
fof(f32052,plain,
sF23 = addition(sF21,sF23),
inference(forward_demodulation,[],[f32051,f63]) ).
fof(f32051,plain,
sF23 = addition(sF23,sF21),
inference(forward_demodulation,[],[f32050,f102]) ).
fof(f32050,plain,
sF23 = addition(sF23,antidomain(sF20)),
inference(forward_demodulation,[],[f32049,f63]) ).
fof(f32049,plain,
sF23 = addition(antidomain(sF20),sF23),
inference(forward_demodulation,[],[f32048,f104]) ).
fof(f32048,plain,
antidomain(sF22) = addition(antidomain(sF20),antidomain(sF22)),
inference(forward_demodulation,[],[f32005,f54]) ).
fof(f32005,plain,
antidomain(multiplication(one,sF22)) = addition(antidomain(sF20),antidomain(multiplication(one,sF22))),
inference(superposition,[],[f2683,f54]) ).
fof(f2683,plain,
! [X13] : antidomain(multiplication(X13,sF22)) = addition(antidomain(multiplication(X13,sF20)),antidomain(multiplication(X13,sF22))),
inference(forward_demodulation,[],[f2598,f103]) ).
fof(f2598,plain,
! [X13] : antidomain(multiplication(X13,antidomain(sF21))) = addition(antidomain(multiplication(X13,sF20)),antidomain(multiplication(X13,antidomain(sF21)))),
inference(superposition,[],[f70,f102]) ).
fof(f142883,plain,
sF21 = addition(sF21,sF23),
inference(superposition,[],[f17396,f15493]) ).
fof(f15493,plain,
sF23 = multiplication(sF23,sF21),
inference(forward_demodulation,[],[f15492,f53]) ).
fof(f15492,plain,
multiplication(sF23,one) = multiplication(sF23,sF21),
inference(forward_demodulation,[],[f15342,f104]) ).
fof(f15342,plain,
multiplication(antidomain(sF22),one) = multiplication(antidomain(sF22),sF21),
inference(superposition,[],[f664,f204]) ).
fof(f17396,plain,
! [X146] : addition(X146,multiplication(sF23,X146)) = X146,
inference(forward_demodulation,[],[f17068,f54]) ).
fof(f17068,plain,
! [X146] : addition(X146,multiplication(sF23,X146)) = multiplication(one,X146),
inference(superposition,[],[f1035,f4661]) ).
fof(f4661,plain,
one = addition(one,sF23),
inference(forward_demodulation,[],[f4660,f55]) ).
fof(f4660,plain,
addition(one,sF23) = addition(one,one),
inference(forward_demodulation,[],[f4351,f853]) ).
fof(f4351,plain,
addition(one,one) = addition(one,addition(sF23,one)),
inference(superposition,[],[f3488,f206]) ).
fof(f15542,plain,
! [X3] : multiplication(X3,sF6) = multiplication(addition(X3,antidomain(sF23)),sF6),
inference(forward_demodulation,[],[f15527,f52]) ).
fof(f15527,plain,
! [X3] : addition(multiplication(X3,sF6),zero) = multiplication(addition(X3,antidomain(sF23)),sF6),
inference(superposition,[],[f74,f15408]) ).
fof(f15408,plain,
zero = multiplication(antidomain(sF23),sF6),
inference(forward_demodulation,[],[f15324,f57]) ).
fof(f15324,plain,
multiplication(antidomain(sF23),sF23) = multiplication(antidomain(sF23),sF6),
inference(superposition,[],[f664,f107]) ).
fof(f87936,plain,
! [X0] : zero = multiplication(sF18,multiplication(sF21,X0)),
inference(forward_demodulation,[],[f87904,f51]) ).
fof(f51,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',left_annihilation) ).
fof(f87904,plain,
! [X0] : multiplication(zero,X0) = multiplication(sF18,multiplication(sF21,X0)),
inference(superposition,[],[f72,f87791]) ).
fof(f87791,plain,
zero = multiplication(sF18,sF21),
inference(forward_demodulation,[],[f87640,f15490]) ).
fof(f15490,plain,
sF21 = multiplication(sF21,sF19),
inference(forward_demodulation,[],[f15489,f53]) ).
fof(f15489,plain,
multiplication(sF21,one) = multiplication(sF21,sF19),
inference(forward_demodulation,[],[f15340,f102]) ).
fof(f15340,plain,
multiplication(antidomain(sF20),one) = multiplication(antidomain(sF20),sF19),
inference(superposition,[],[f664,f154]) ).
fof(f154,plain,
one = addition(sF19,sF20),
inference(forward_demodulation,[],[f153,f101]) ).
fof(f153,plain,
one = addition(sF19,coantidomain(sF19)),
inference(forward_demodulation,[],[f143,f63]) ).
fof(f143,plain,
one = addition(coantidomain(sF19),sF19),
inference(superposition,[],[f61,f100]) ).
fof(f87640,plain,
zero = multiplication(sF18,multiplication(sF21,sF19)),
inference(superposition,[],[f19862,f100]) ).
fof(f19862,plain,
! [X33] : zero = multiplication(X33,multiplication(sF21,coantidomain(X33))),
inference(forward_demodulation,[],[f19812,f56]) ).
fof(f19812,plain,
! [X33] : multiplication(X33,coantidomain(X33)) = multiplication(X33,multiplication(sF21,coantidomain(X33))),
inference(superposition,[],[f629,f17394]) ).
fof(f17394,plain,
! [X144] : addition(X144,multiplication(sF21,X144)) = X144,
inference(forward_demodulation,[],[f17066,f54]) ).
fof(f17066,plain,
! [X144] : addition(X144,multiplication(sF21,X144)) = multiplication(one,X144),
inference(superposition,[],[f1035,f5504]) ).
fof(f5504,plain,
one = addition(one,sF21),
inference(superposition,[],[f4547,f102]) ).
fof(f629,plain,
! [X4,X5] : multiplication(X4,X5) = multiplication(X4,addition(coantidomain(X4),X5)),
inference(forward_demodulation,[],[f569,f131]) ).
fof(f569,plain,
! [X4,X5] : multiplication(X4,addition(coantidomain(X4),X5)) = addition(zero,multiplication(X4,X5)),
inference(superposition,[],[f73,f56]) ).
fof(f2681,plain,
! [X9] : antidomain(multiplication(X9,sF11)) = addition(antidomain(multiplication(X9,sF9)),antidomain(multiplication(X9,sF11))),
inference(forward_demodulation,[],[f2594,f91]) ).
fof(f91,plain,
antidomain(sF10) = sF11,
introduced(function_definition,[]) ).
fof(f2594,plain,
! [X9] : antidomain(multiplication(X9,antidomain(sF10))) = addition(antidomain(multiplication(X9,sF9)),antidomain(multiplication(X9,antidomain(sF10)))),
inference(superposition,[],[f70,f90]) ).
fof(f90,plain,
antidomain(sF9) = sF10,
introduced(function_definition,[]) ).
fof(f13520,plain,
! [X25] : zero = multiplication(antidomain(X25),multiplication(sF3,X25)),
inference(forward_demodulation,[],[f13519,f57]) ).
fof(f13519,plain,
! [X25] : multiplication(antidomain(X25),X25) = multiplication(antidomain(X25),multiplication(sF3,X25)),
inference(forward_demodulation,[],[f13479,f72]) ).
fof(f13479,plain,
! [X25] : multiplication(antidomain(X25),X25) = multiplication(multiplication(antidomain(X25),sF3),X25),
inference(superposition,[],[f1100,f11823]) ).
fof(f11823,plain,
! [X64] : addition(X64,multiplication(X64,sF3)) = X64,
inference(forward_demodulation,[],[f11671,f53]) ).
fof(f11671,plain,
! [X64] : addition(X64,multiplication(X64,sF3)) = multiplication(X64,one),
inference(superposition,[],[f568,f5494]) ).
fof(f5494,plain,
one = addition(one,sF3),
inference(superposition,[],[f4547,f83]) ).
fof(f568,plain,
! [X2,X3] : multiplication(X2,addition(one,X3)) = addition(X2,multiplication(X2,X3)),
inference(superposition,[],[f73,f53]) ).
fof(f1100,plain,
! [X14,X15] : multiplication(addition(antidomain(X14),X15),X14) = multiplication(X15,X14),
inference(forward_demodulation,[],[f1036,f131]) ).
fof(f1036,plain,
! [X14,X15] : multiplication(addition(antidomain(X14),X15),X14) = addition(zero,multiplication(X15,X14)),
inference(superposition,[],[f74,f57]) ).
fof(f115899,plain,
! [X4] : multiplication(addition(sF3,X4),sF12) = addition(multiplication(sF3,sF11),multiplication(X4,sF12)),
inference(superposition,[],[f74,f109927]) ).
fof(f109927,plain,
multiplication(sF3,sF11) = multiplication(sF3,sF12),
inference(backward_demodulation,[],[f14307,f109824]) ).
fof(f14307,plain,
multiplication(sF13,sF11) = multiplication(sF13,sF12),
inference(forward_demodulation,[],[f14041,f94]) ).
fof(f14041,plain,
multiplication(antidomain(sF4),sF11) = multiplication(antidomain(sF4),sF12),
inference(superposition,[],[f636,f132]) ).
fof(f636,plain,
! [X14,X15] : multiplication(antidomain(X14),addition(X14,X15)) = multiplication(antidomain(X14),X15),
inference(forward_demodulation,[],[f573,f131]) ).
fof(f573,plain,
! [X14,X15] : multiplication(antidomain(X14),addition(X14,X15)) = addition(zero,multiplication(antidomain(X14),X15)),
inference(superposition,[],[f73,f57]) ).
fof(f11831,plain,
! [X72] : addition(X72,multiplication(X72,sF12)) = X72,
inference(forward_demodulation,[],[f11679,f53]) ).
fof(f11679,plain,
! [X72] : addition(X72,multiplication(X72,sF12)) = multiplication(X72,one),
inference(superposition,[],[f568,f4717]) ).
fof(f4717,plain,
one = addition(one,sF12),
inference(forward_demodulation,[],[f4716,f4641]) ).
fof(f4641,plain,
one = addition(one,sF11),
inference(forward_demodulation,[],[f4640,f55]) ).
fof(f4640,plain,
addition(one,one) = addition(one,sF11),
inference(forward_demodulation,[],[f4340,f853]) ).
fof(f4340,plain,
addition(one,one) = addition(one,addition(sF11,one)),
inference(superposition,[],[f3488,f198]) ).
fof(f198,plain,
one = addition(sF10,sF11),
inference(forward_demodulation,[],[f197,f91]) ).
fof(f197,plain,
one = addition(sF10,antidomain(sF10)),
inference(forward_demodulation,[],[f172,f63]) ).
fof(f172,plain,
one = addition(antidomain(sF10),sF10),
inference(superposition,[],[f62,f90]) ).
fof(f4716,plain,
addition(one,sF12) = addition(one,sF11),
inference(forward_demodulation,[],[f4715,f55]) ).
fof(f4715,plain,
addition(one,sF12) = addition(one,addition(sF11,sF11)),
inference(backward_demodulation,[],[f4329,f4714]) ).
fof(f4714,plain,
! [X153] : addition(one,addition(X153,sF12)) = addition(one,addition(X153,sF11)),
inference(backward_demodulation,[],[f3881,f4709]) ).
fof(f4709,plain,
! [X1] : addition(one,X1) = addition(one,addition(sF4,X1)),
inference(superposition,[],[f71,f4633]) ).
fof(f4633,plain,
one = addition(one,sF4),
inference(forward_demodulation,[],[f4632,f55]) ).
fof(f4632,plain,
addition(one,one) = addition(one,sF4),
inference(forward_demodulation,[],[f4328,f853]) ).
fof(f4328,plain,
addition(one,one) = addition(one,addition(sF4,one)),
inference(superposition,[],[f3488,f187]) ).
fof(f3881,plain,
! [X153] : addition(one,addition(X153,sF12)) = addition(one,addition(sF4,addition(X153,sF11))),
inference(forward_demodulation,[],[f3417,f925]) ).
fof(f3417,plain,
! [X153] : addition(one,addition(sF11,addition(sF4,X153))) = addition(one,addition(X153,sF12)),
inference(superposition,[],[f925,f92]) ).
fof(f4329,plain,
addition(one,sF12) = addition(one,addition(sF11,sF12)),
inference(superposition,[],[f3488,f132]) ).
fof(f93,plain,
sF4 != sF12,
inference(definition_folding,[],[f81,f92,f84,f83,f91,f90,f89,f88,f87,f86,f85,f84,f83]) ).
fof(f81,plain,
antidomain(antidomain(sK2)) != addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(sK2))),
inference(definition_unfolding,[],[f49,f60,f79,f60,f60]) ).
fof(f79,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f68,f60,f60]) ).
fof(f68,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X3,X4] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026',forward_diamond) ).
fof(f49,plain,
domain(sK2) != addition(forward_diamond(sK0,domain(sK1)),domain(sK2)),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE106+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n008.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 11:08:32 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.bKAzcKNJDf/Vampire---4.8_23026
% 0.15/0.38 % (23142)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (23144)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.23/0.43 % (23143)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.23/0.43 % (23146)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.23/0.43 % (23145)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.23/0.43 % (23147)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.23/0.44 % (23149)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.23/0.44 % (23148)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 16.02/2.70 % (23145)First to succeed.
% 16.02/2.70 % (23145)Refutation found. Thanks to Tanya!
% 16.02/2.70 % SZS status Theorem for Vampire---4
% 16.02/2.70 % SZS output start Proof for Vampire---4
% See solution above
% 16.02/2.71 % (23145)------------------------------
% 16.02/2.71 % (23145)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 16.02/2.71 % (23145)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 16.02/2.71 % (23145)Termination reason: Refutation
% 16.02/2.71
% 16.02/2.71 % (23145)Memory used [KB]: 86480
% 16.02/2.71 % (23145)Time elapsed: 2.271 s
% 16.02/2.71 % (23145)------------------------------
% 16.02/2.71 % (23145)------------------------------
% 16.02/2.71 % (23142)Success in time 2.306 s
% 16.02/2.71 % Vampire---4.8 exiting
%------------------------------------------------------------------------------