TSTP Solution File: KLE135+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : KLE135+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.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 105.52s 14.83s
% Output : CNFRefutation 105.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 22
% Syntax : Number of formulae : 223 ( 200 unt; 0 def)
% Number of atoms : 248 ( 247 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 24 ~; 15 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 26 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 300 ( 25 sgn; 94 !; 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,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
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(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_annihilation) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f13,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
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/benchmark/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f17,axiom,
! [X3] : zero = multiplication(X3,coantidomain(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain1) ).
fof(f19,axiom,
! [X3] : one = addition(coantidomain(coantidomain(X3)),coantidomain(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain3) ).
fof(f23,axiom,
! [X3,X4] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).
fof(f27,axiom,
! [X3] : divergence(X3) = forward_diamond(X3,divergence(X3)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',divergence2) ).
fof(f29,conjecture,
! [X3] :
( zero = divergence(X3)
=> one = forward_diamond(star(X3),antidomain(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f30,negated_conjecture,
~ ! [X3] :
( zero = divergence(X3)
=> one = forward_diamond(star(X3),antidomain(X3)) ),
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(f33,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(rectify,[],[f14]) ).
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(f36,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(rectify,[],[f17]) ).
fof(f38,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(rectify,[],[f19]) ).
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] :
( zero = divergence(X0)
=> one = forward_diamond(star(X0),antidomain(X0)) ),
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] :
( one != forward_diamond(star(X0),antidomain(X0))
& zero = divergence(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f51,plain,
( ? [X0] :
( one != forward_diamond(star(X0),antidomain(X0))
& zero = divergence(X0) )
=> ( one != forward_diamond(star(sK0),antidomain(sK0))
& zero = divergence(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
( one != forward_diamond(star(sK0),antidomain(sK0))
& zero = divergence(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f50,f51]) ).
fof(f53,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f54,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f31]) ).
fof(f55,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f56,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f57,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f58,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f59,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f60,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f61,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f62,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f63,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f64,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f32]) ).
fof(f65,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(cnf_transformation,[],[f33]) ).
fof(f66,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f67,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f35]) ).
fof(f68,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f36]) ).
fof(f70,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f38]) ).
fof(f74,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f42]) ).
fof(f78,plain,
! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
inference(cnf_transformation,[],[f46]) ).
fof(f79,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(f80,plain,
zero = divergence(sK0),
inference(cnf_transformation,[],[f52]) ).
fof(f81,plain,
one != forward_diamond(star(sK0),antidomain(sK0)),
inference(cnf_transformation,[],[f52]) ).
fof(f86,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f74,f67,f67]) ).
fof(f88,plain,
! [X0] : divergence(X0) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))),
inference(definition_unfolding,[],[f78,f86]) ).
fof(f89,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,[],[f79,f86,f67,f67,f86,f67,f86,f67,f67,f67,f86,f67,f67]) ).
fof(f90,plain,
one != antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(sK0)))))),
inference(definition_unfolding,[],[f81,f86]) ).
cnf(c_49,plain,
addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f53]) ).
cnf(c_50,plain,
addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f54]) ).
cnf(c_51,plain,
addition(X0,zero) = X0,
inference(cnf_transformation,[],[f55]) ).
cnf(c_52,plain,
addition(X0,X0) = X0,
inference(cnf_transformation,[],[f56]) ).
cnf(c_53,plain,
multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f57]) ).
cnf(c_54,plain,
multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f58]) ).
cnf(c_55,plain,
multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f59]) ).
cnf(c_56,plain,
addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f60]) ).
cnf(c_57,plain,
addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f61]) ).
cnf(c_58,plain,
multiplication(X0,zero) = zero,
inference(cnf_transformation,[],[f62]) ).
cnf(c_59,plain,
multiplication(zero,X0) = zero,
inference(cnf_transformation,[],[f63]) ).
cnf(c_60,plain,
multiplication(antidomain(X0),X0) = zero,
inference(cnf_transformation,[],[f64]) ).
cnf(c_61,plain,
addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
inference(cnf_transformation,[],[f65]) ).
cnf(c_62,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(cnf_transformation,[],[f66]) ).
cnf(c_63,plain,
multiplication(X0,coantidomain(X0)) = zero,
inference(cnf_transformation,[],[f68]) ).
cnf(c_65,plain,
addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
inference(cnf_transformation,[],[f70]) ).
cnf(c_66,plain,
antidomain(antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))) = divergence(X0),
inference(cnf_transformation,[],[f88]) ).
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,[],[f89]) ).
cnf(c_68,negated_conjecture,
antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(sK0)))))) != one,
inference(cnf_transformation,[],[f90]) ).
cnf(c_69,negated_conjecture,
divergence(sK0) = zero,
inference(cnf_transformation,[],[f80]) ).
cnf(c_87,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = one,
inference(theory_normalisation,[status(thm)],[c_62,c_50,c_49]) ).
cnf(c_88,plain,
addition(coantidomain(X0),coantidomain(coantidomain(X0))) = one,
inference(theory_normalisation,[status(thm)],[c_65,c_50,c_49]) ).
cnf(c_120704,plain,
addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_120721,plain,
addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_52,c_50]) ).
cnf(c_120747,plain,
addition(coantidomain(X0),one) = one,
inference(superposition,[status(thm)],[c_88,c_120721]) ).
cnf(c_120750,plain,
addition(one,coantidomain(X0)) = one,
inference(theory_normalisation,[status(thm)],[c_120747,c_50,c_49]) ).
cnf(c_121653,plain,
addition(one,addition(X0,coantidomain(X1))) = addition(X0,one),
inference(superposition,[status(thm)],[c_120750,c_120704]) ).
cnf(c_121724,plain,
addition(one,addition(X0,one)) = addition(X0,one),
inference(superposition,[status(thm)],[c_121653,c_120721]) ).
cnf(c_317680,plain,
addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_317703,plain,
antidomain(one) = zero,
inference(superposition,[status(thm)],[c_54,c_60]) ).
cnf(c_317707,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_317723,plain,
addition(zero,antidomain(zero)) = one,
inference(superposition,[status(thm)],[c_317703,c_87]) ).
cnf(c_317743,plain,
antidomain(zero) = one,
inference(demodulation,[status(thm)],[c_317723,c_317707]) ).
cnf(c_317790,plain,
addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_52,c_50]) ).
cnf(c_317791,plain,
addition(antidomain(X0),addition(antidomain(antidomain(X0)),X1)) = addition(one,X1),
inference(superposition,[status(thm)],[c_87,c_50]) ).
cnf(c_317792,plain,
addition(coantidomain(X0),addition(coantidomain(coantidomain(X0)),X1)) = addition(one,X1),
inference(superposition,[status(thm)],[c_88,c_50]) ).
cnf(c_317798,plain,
addition(one,addition(X0,addition(X1,one))) = addition(X0,addition(X1,one)),
inference(superposition,[status(thm)],[c_50,c_121724]) ).
cnf(c_317828,plain,
addition(antidomain(X0),addition(X1,antidomain(antidomain(X0)))) = addition(one,X1),
inference(superposition,[status(thm)],[c_49,c_317791]) ).
cnf(c_317831,plain,
addition(antidomain(X0),antidomain(antidomain(X0))) = addition(one,antidomain(antidomain(X0))),
inference(superposition,[status(thm)],[c_52,c_317791]) ).
cnf(c_317845,plain,
addition(one,antidomain(antidomain(X0))) = one,
inference(light_normalisation,[status(thm)],[c_317831,c_87]) ).
cnf(c_317896,plain,
multiplication(antidomain(X0),multiplication(X0,X1)) = multiplication(zero,X1),
inference(superposition,[status(thm)],[c_60,c_53]) ).
cnf(c_317921,plain,
antidomain(antidomain(multiplication(sK0,antidomain(antidomain(zero))))) = zero,
inference(superposition,[status(thm)],[c_69,c_66]) ).
cnf(c_317928,plain,
antidomain(antidomain(multiplication(sK0,zero))) = zero,
inference(light_normalisation,[status(thm)],[c_317921,c_317703,c_317743]) ).
cnf(c_317975,plain,
addition(X0,multiplication(X0,X1)) = multiplication(X0,addition(one,X1)),
inference(superposition,[status(thm)],[c_54,c_56]) ).
cnf(c_317977,plain,
addition(zero,multiplication(X0,X1)) = multiplication(X0,addition(zero,X1)),
inference(superposition,[status(thm)],[c_58,c_56]) ).
cnf(c_317979,plain,
multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1)),
inference(superposition,[status(thm)],[c_60,c_56]) ).
cnf(c_317980,plain,
multiplication(X0,addition(coantidomain(X0),X1)) = addition(zero,multiplication(X0,X1)),
inference(superposition,[status(thm)],[c_63,c_56]) ).
cnf(c_318046,plain,
addition(X0,multiplication(X1,X0)) = multiplication(addition(one,X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_318049,plain,
multiplication(addition(antidomain(X0),X1),X0) = addition(zero,multiplication(X1,X0)),
inference(superposition,[status(thm)],[c_60,c_57]) ).
cnf(c_318055,plain,
addition(multiplication(X0,X1),zero) = multiplication(addition(X0,zero),X1),
inference(superposition,[status(thm)],[c_59,c_57]) ).
cnf(c_318066,plain,
addition(zero,multiplication(X0,X1)) = multiplication(addition(X0,zero),X1),
inference(theory_normalisation,[status(thm)],[c_318055,c_50,c_49]) ).
cnf(c_318067,plain,
multiplication(X0,addition(zero,X1)) = multiplication(X0,X1),
inference(light_normalisation,[status(thm)],[c_318066,c_51,c_317977]) ).
cnf(c_318119,plain,
addition(one,divergence(X0)) = one,
inference(superposition,[status(thm)],[c_66,c_317845]) ).
cnf(c_318123,plain,
addition(one,addition(antidomain(antidomain(X0)),X1)) = addition(one,X1),
inference(superposition,[status(thm)],[c_317845,c_50]) ).
cnf(c_318212,plain,
addition(antidomain(X0),one) = one,
inference(superposition,[status(thm)],[c_87,c_317790]) ).
cnf(c_318213,plain,
addition(coantidomain(X0),one) = one,
inference(superposition,[status(thm)],[c_88,c_317790]) ).
cnf(c_318214,plain,
addition(antidomain(X0),addition(one,X1)) = addition(one,X1),
inference(superposition,[status(thm)],[c_317791,c_317790]) ).
cnf(c_318223,plain,
addition(one,coantidomain(X0)) = one,
inference(theory_normalisation,[status(thm)],[c_318213,c_50,c_49]) ).
cnf(c_318224,plain,
addition(one,antidomain(X0)) = one,
inference(theory_normalisation,[status(thm)],[c_318212,c_50,c_49]) ).
cnf(c_318225,plain,
addition(one,addition(X0,antidomain(X1))) = addition(one,X0),
inference(theory_normalisation,[status(thm)],[c_318214,c_50,c_49]) ).
cnf(c_318257,plain,
addition(one,addition(coantidomain(X0),X1)) = addition(one,X1),
inference(superposition,[status(thm)],[c_318223,c_50]) ).
cnf(c_318323,plain,
addition(coantidomain(X0),addition(one,X1)) = addition(one,X1),
inference(superposition,[status(thm)],[c_317792,c_317790]) ).
cnf(c_318326,plain,
addition(one,addition(X0,coantidomain(X1))) = addition(one,X0),
inference(theory_normalisation,[status(thm)],[c_318323,c_50,c_49]) ).
cnf(c_318352,plain,
addition(antidomain(zero),antidomain(multiplication(antidomain(X0),antidomain(antidomain(X0))))) = antidomain(multiplication(antidomain(X0),antidomain(antidomain(X0)))),
inference(superposition,[status(thm)],[c_60,c_61]) ).
cnf(c_318353,plain,
addition(antidomain(zero),antidomain(multiplication(X0,antidomain(antidomain(coantidomain(X0)))))) = antidomain(multiplication(X0,antidomain(antidomain(coantidomain(X0))))),
inference(superposition,[status(thm)],[c_63,c_61]) ).
cnf(c_318375,plain,
addition(one,antidomain(multiplication(X0,antidomain(antidomain(coantidomain(X0)))))) = antidomain(multiplication(X0,antidomain(antidomain(coantidomain(X0))))),
inference(light_normalisation,[status(thm)],[c_318353,c_317743]) ).
cnf(c_318376,plain,
addition(one,antidomain(multiplication(antidomain(X0),antidomain(antidomain(X0))))) = antidomain(multiplication(antidomain(X0),antidomain(antidomain(X0)))),
inference(light_normalisation,[status(thm)],[c_318352,c_317743]) ).
cnf(c_318583,plain,
( addition(antidomain(antidomain(X0)),one) != one
| addition(antidomain(antidomain(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))) = addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))) ),
inference(superposition,[status(thm)],[c_87,c_67]) ).
cnf(c_318591,plain,
( addition(antidomain(zero),addition(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(zero)))))),antidomain(antidomain(X1)))) != addition(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(zero)))))),antidomain(antidomain(X1)))
| addition(antidomain(antidomain(one)),addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1))))))))) = addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1)))))))) ),
inference(superposition,[status(thm)],[c_317703,c_67]) ).
cnf(c_318601,plain,
( addition(one,antidomain(antidomain(X0))) != one
| addition(antidomain(antidomain(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))) = addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))) ),
inference(theory_normalisation,[status(thm)],[c_318583,c_50,c_49]) ).
cnf(c_318602,plain,
addition(antidomain(antidomain(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))) = addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),
inference(forward_subsumption_resolution,[status(thm)],[c_318601,c_318224]) ).
cnf(c_318606,plain,
( addition(one,addition(antidomain(antidomain(X0)),antidomain(antidomain(X1)))) != addition(antidomain(antidomain(X0)),antidomain(antidomain(X1)))
| addition(one,addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1))))))))) = addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1)))))))) ),
inference(light_normalisation,[status(thm)],[c_318591,c_54,c_317703,c_317743]) ).
cnf(c_318738,plain,
multiplication(antidomain(X0),multiplication(X0,X1)) = zero,
inference(demodulation,[status(thm)],[c_317896,c_59]) ).
cnf(c_318974,plain,
addition(coantidomain(X0),addition(X1,one)) = addition(one,addition(X1,one)),
inference(superposition,[status(thm)],[c_318257,c_317798]) ).
cnf(c_318980,plain,
addition(one,addition(X0,coantidomain(X1))) = addition(one,addition(X0,one)),
inference(theory_normalisation,[status(thm)],[c_318974,c_50,c_49]) ).
cnf(c_318981,plain,
addition(one,addition(X0,one)) = addition(one,X0),
inference(light_normalisation,[status(thm)],[c_318980,c_318326]) ).
cnf(c_319028,plain,
addition(one,antidomain(multiplication(X0,antidomain(antidomain(X1))))) = addition(one,antidomain(multiplication(X0,X1))),
inference(superposition,[status(thm)],[c_61,c_318225]) ).
cnf(c_319405,plain,
addition(antidomain(X0),addition(X1,antidomain(antidomain(X0)))) = addition(X1,one),
inference(superposition,[status(thm)],[c_87,c_317680]) ).
cnf(c_319416,plain,
addition(one,addition(X0,divergence(X1))) = addition(X0,one),
inference(superposition,[status(thm)],[c_318119,c_317680]) ).
cnf(c_319538,plain,
multiplication(antidomain(X0),addition(one,X0)) = addition(antidomain(X0),zero),
inference(superposition,[status(thm)],[c_60,c_317975]) ).
cnf(c_319562,plain,
multiplication(antidomain(X0),addition(one,X0)) = addition(zero,antidomain(X0)),
inference(theory_normalisation,[status(thm)],[c_319538,c_50,c_49]) ).
cnf(c_319798,plain,
addition(one,addition(divergence(X0),X1)) = addition(X1,one),
inference(superposition,[status(thm)],[c_49,c_319416]) ).
cnf(c_320520,plain,
multiplication(antidomain(X0),addition(one,X0)) = antidomain(X0),
inference(demodulation,[status(thm)],[c_319562,c_317707]) ).
cnf(c_320531,plain,
multiplication(antidomain(addition(one,X0)),addition(one,X0)) = antidomain(addition(one,X0)),
inference(superposition,[status(thm)],[c_317790,c_320520]) ).
cnf(c_322275,plain,
multiplication(X0,addition(coantidomain(X0),X1)) = multiplication(X0,X1),
inference(light_normalisation,[status(thm)],[c_317980,c_317977,c_318067]) ).
cnf(c_322283,plain,
multiplication(X0,coantidomain(coantidomain(X0))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_88,c_322275]) ).
cnf(c_322316,plain,
multiplication(X0,coantidomain(coantidomain(X0))) = X0,
inference(light_normalisation,[status(thm)],[c_322283,c_54]) ).
cnf(c_322416,plain,
multiplication(X0,multiplication(coantidomain(coantidomain(X0)),X1)) = multiplication(X0,X1),
inference(superposition,[status(thm)],[c_322316,c_53]) ).
cnf(c_323094,plain,
multiplication(X0,coantidomain(coantidomain(coantidomain(coantidomain(X0))))) = multiplication(X0,coantidomain(coantidomain(X0))),
inference(superposition,[status(thm)],[c_322316,c_322416]) ).
cnf(c_323131,plain,
multiplication(X0,coantidomain(coantidomain(coantidomain(coantidomain(X0))))) = X0,
inference(light_normalisation,[status(thm)],[c_323094,c_322316]) ).
cnf(c_323432,plain,
multiplication(addition(antidomain(X0),X1),X0) = multiplication(X1,X0),
inference(demodulation,[status(thm)],[c_318049,c_317977,c_318067]) ).
cnf(c_323435,plain,
multiplication(addition(X0,antidomain(X1)),X1) = multiplication(X0,X1),
inference(superposition,[status(thm)],[c_49,c_323432]) ).
cnf(c_323442,plain,
multiplication(addition(X0,antidomain(antidomain(X1))),X1) = multiplication(addition(one,X0),X1),
inference(superposition,[status(thm)],[c_317828,c_323432]) ).
cnf(c_323456,plain,
multiplication(antidomain(addition(antidomain(X0),X1)),multiplication(X1,X0)) = zero,
inference(superposition,[status(thm)],[c_323432,c_318738]) ).
cnf(c_324863,plain,
multiplication(X0,coantidomain(coantidomain(coantidomain(coantidomain(coantidomain(coantidomain(X0))))))) = multiplication(X0,coantidomain(coantidomain(X0))),
inference(superposition,[status(thm)],[c_323131,c_322416]) ).
cnf(c_324875,plain,
multiplication(X0,coantidomain(coantidomain(coantidomain(coantidomain(coantidomain(coantidomain(X0))))))) = X0,
inference(light_normalisation,[status(thm)],[c_324863,c_322316]) ).
cnf(c_327324,plain,
multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1),
inference(demodulation,[status(thm)],[c_317979,c_317977,c_318067]) ).
cnf(c_327334,plain,
multiplication(antidomain(X0),addition(X1,X0)) = multiplication(antidomain(X0),X1),
inference(superposition,[status(thm)],[c_49,c_327324]) ).
cnf(c_327610,plain,
multiplication(antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = multiplication(antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),antidomain(multiplication(X0,X1))),
inference(superposition,[status(thm)],[c_61,c_327334]) ).
cnf(c_330797,plain,
multiplication(antidomain(addition(X0,one)),multiplication(addition(X0,antidomain(antidomain(X1))),X1)) = zero,
inference(superposition,[status(thm)],[c_319405,c_323456]) ).
cnf(c_330823,plain,
multiplication(antidomain(addition(X0,one)),multiplication(addition(one,X0),X1)) = zero,
inference(light_normalisation,[status(thm)],[c_330797,c_323442]) ).
cnf(c_346886,plain,
multiplication(antidomain(addition(X0,one)),addition(one,X0)) = zero,
inference(superposition,[status(thm)],[c_324875,c_330823]) ).
cnf(c_347103,plain,
multiplication(antidomain(addition(addition(one,X0),one)),addition(one,X0)) = zero,
inference(superposition,[status(thm)],[c_317790,c_346886]) ).
cnf(c_347169,plain,
multiplication(antidomain(addition(one,addition(X0,one))),addition(one,X0)) = zero,
inference(theory_normalisation,[status(thm)],[c_347103,c_50,c_49]) ).
cnf(c_347170,plain,
antidomain(addition(one,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_347169,c_318981,c_320531]) ).
cnf(c_356449,plain,
antidomain(multiplication(X0,antidomain(antidomain(coantidomain(X0))))) = one,
inference(demodulation,[status(thm)],[c_318375,c_318224,c_319028]) ).
cnf(c_356495,plain,
multiplication(one,multiplication(X0,antidomain(antidomain(coantidomain(X0))))) = zero,
inference(superposition,[status(thm)],[c_356449,c_60]) ).
cnf(c_356652,plain,
multiplication(X0,antidomain(antidomain(coantidomain(X0)))) = zero,
inference(demodulation,[status(thm)],[c_356495,c_55]) ).
cnf(c_356691,plain,
multiplication(X0,addition(antidomain(antidomain(coantidomain(X0))),X1)) = addition(zero,multiplication(X0,X1)),
inference(superposition,[status(thm)],[c_356652,c_56]) ).
cnf(c_356752,plain,
multiplication(X0,addition(antidomain(antidomain(coantidomain(X0))),X1)) = multiplication(X0,X1),
inference(light_normalisation,[status(thm)],[c_356691,c_317977,c_318067]) ).
cnf(c_358079,plain,
antidomain(multiplication(antidomain(X0),antidomain(antidomain(X0)))) = one,
inference(demodulation,[status(thm)],[c_318376,c_318224,c_319028]) ).
cnf(c_358141,plain,
multiplication(one,multiplication(antidomain(X0),antidomain(antidomain(X0)))) = zero,
inference(superposition,[status(thm)],[c_358079,c_60]) ).
cnf(c_358363,plain,
multiplication(antidomain(X0),antidomain(antidomain(X0))) = zero,
inference(demodulation,[status(thm)],[c_358141,c_55]) ).
cnf(c_358432,plain,
multiplication(addition(one,antidomain(X0)),antidomain(antidomain(X0))) = addition(antidomain(antidomain(X0)),zero),
inference(superposition,[status(thm)],[c_358363,c_318046]) ).
cnf(c_358462,plain,
multiplication(addition(one,antidomain(X0)),antidomain(antidomain(X0))) = addition(zero,antidomain(antidomain(X0))),
inference(theory_normalisation,[status(thm)],[c_358432,c_50,c_49]) ).
cnf(c_358463,plain,
addition(zero,antidomain(antidomain(X0))) = multiplication(one,antidomain(antidomain(X0))),
inference(light_normalisation,[status(thm)],[c_358462,c_318224]) ).
cnf(c_360137,plain,
multiplication(X0,antidomain(antidomain(antidomain(coantidomain(X0))))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_87,c_356752]) ).
cnf(c_360230,plain,
multiplication(X0,antidomain(antidomain(antidomain(coantidomain(X0))))) = X0,
inference(light_normalisation,[status(thm)],[c_360137,c_54]) ).
cnf(c_361159,plain,
multiplication(X0,multiplication(antidomain(antidomain(antidomain(coantidomain(X0)))),X1)) = multiplication(X0,X1),
inference(superposition,[status(thm)],[c_360230,c_53]) ).
cnf(c_377600,plain,
multiplication(X0,antidomain(antidomain(antidomain(antidomain(coantidomain(X0)))))) = multiplication(X0,zero),
inference(superposition,[status(thm)],[c_358363,c_361159]) ).
cnf(c_377751,plain,
multiplication(X0,antidomain(antidomain(antidomain(antidomain(coantidomain(X0)))))) = zero,
inference(light_normalisation,[status(thm)],[c_377600,c_58]) ).
cnf(c_400680,plain,
addition(antidomain(antidomain(X0)),addition(zero,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))) = addition(zero,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),
inference(superposition,[status(thm)],[c_69,c_318602]) ).
cnf(c_400788,plain,
addition(zero,addition(antidomain(antidomain(X0)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))) = addition(zero,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),
inference(theory_normalisation,[status(thm)],[c_400680,c_50,c_49]) ).
cnf(c_402199,plain,
addition(antidomain(antidomain(X0)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))) = antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))),
inference(demodulation,[status(thm)],[c_400788,c_55,c_317707,c_358463]) ).
cnf(c_402244,plain,
addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))),X1)) = addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))),X1),
inference(superposition,[status(thm)],[c_402199,c_50]) ).
cnf(c_402250,plain,
addition(antidomain(X0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))) = addition(one,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),
inference(superposition,[status(thm)],[c_402199,c_317791]) ).
cnf(c_402256,plain,
multiplication(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))),antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))) = multiplication(antidomain(antidomain(X0)),antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))),
inference(superposition,[status(thm)],[c_402199,c_323435]) ).
cnf(c_402258,plain,
addition(one,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))) = addition(one,antidomain(antidomain(X0))),
inference(superposition,[status(thm)],[c_402199,c_318225]) ).
cnf(c_402537,plain,
addition(antidomain(X0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))) = addition(one,antidomain(antidomain(X0))),
inference(light_normalisation,[status(thm)],[c_402250,c_402258]) ).
cnf(c_402538,plain,
addition(antidomain(X0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))) = one,
inference(demodulation,[status(thm)],[c_402537,c_318224]) ).
cnf(c_402565,plain,
addition(zero,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(zero))))))))))))) = one,
inference(superposition,[status(thm)],[c_347170,c_402538]) ).
cnf(c_402620,plain,
addition(zero,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,one)))))))))) = one,
inference(light_normalisation,[status(thm)],[c_402565,c_317703,c_317743]) ).
cnf(c_404110,plain,
addition(antidomain(antidomain(X0)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))))))))))))) = antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))))))))))))),
inference(superposition,[status(thm)],[c_402199,c_402244]) ).
cnf(c_404267,plain,
( addition(antidomain(antidomain(X0)),antidomain(antidomain(X1))) != one
| addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1))))))),one) ),
inference(demodulation,[status(thm)],[c_318606,c_318224,c_318123,c_319798]) ).
cnf(c_404270,plain,
( addition(antidomain(antidomain(X0)),antidomain(antidomain(X1))) != one
| addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(one,antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1)))))))) ),
inference(theory_normalisation,[status(thm)],[c_404267,c_50,c_49]) ).
cnf(c_404271,plain,
( addition(antidomain(antidomain(X0)),antidomain(antidomain(X1))) != one
| addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X1)))))))) = one ),
inference(demodulation,[status(thm)],[c_404270,c_318224]) ).
cnf(c_404308,plain,
( addition(antidomain(antidomain(X0)),antidomain(zero)) != one
| addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(one)))))))) = one ),
inference(superposition,[status(thm)],[c_317703,c_404271]) ).
cnf(c_404325,plain,
( addition(antidomain(zero),antidomain(antidomain(X0))) != one
| addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(one)))))))) = one ),
inference(theory_normalisation,[status(thm)],[c_404308,c_50,c_49]) ).
cnf(c_404326,plain,
( addition(one,antidomain(antidomain(X0))) != one
| addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),one)))) = one ),
inference(light_normalisation,[status(thm)],[c_404325,c_317703,c_317743]) ).
cnf(c_404327,plain,
addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),one)))) = one,
inference(forward_subsumption_resolution,[status(thm)],[c_404326,c_318224]) ).
cnf(c_405132,plain,
addition(divergence(X0),antidomain(antidomain(star(X0)))) = one,
inference(demodulation,[status(thm)],[c_404327,c_54]) ).
cnf(c_405133,plain,
addition(zero,antidomain(antidomain(star(sK0)))) = one,
inference(superposition,[status(thm)],[c_69,c_405132]) ).
cnf(c_405192,plain,
antidomain(antidomain(star(sK0))) = one,
inference(demodulation,[status(thm)],[c_405133,c_55,c_358463]) ).
cnf(c_405290,plain,
( addition(one,antidomain(antidomain(X0))) != one
| addition(divergence(star(sK0)),antidomain(antidomain(multiplication(star(star(sK0)),antidomain(antidomain(antidomain(antidomain(X0)))))))) = one ),
inference(superposition,[status(thm)],[c_405192,c_404271]) ).
cnf(c_405446,plain,
addition(divergence(star(sK0)),antidomain(antidomain(multiplication(star(star(sK0)),antidomain(antidomain(antidomain(antidomain(X0)))))))) = one,
inference(forward_subsumption_resolution,[status(thm)],[c_405290,c_318224]) ).
cnf(c_407026,plain,
addition(divergence(star(sK0)),antidomain(antidomain(zero))) = one,
inference(superposition,[status(thm)],[c_377751,c_405446]) ).
cnf(c_407075,plain,
addition(antidomain(antidomain(zero)),divergence(star(sK0))) = one,
inference(theory_normalisation,[status(thm)],[c_407026,c_50,c_49]) ).
cnf(c_407076,plain,
addition(zero,divergence(star(sK0))) = one,
inference(light_normalisation,[status(thm)],[c_407075,c_317703,c_317743]) ).
cnf(c_409107,plain,
divergence(star(sK0)) = one,
inference(demodulation,[status(thm)],[c_407076,c_317707]) ).
cnf(c_409136,plain,
antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(one))))) = one,
inference(superposition,[status(thm)],[c_409107,c_66]) ).
cnf(c_409153,plain,
antidomain(antidomain(multiplication(star(sK0),one))) = one,
inference(light_normalisation,[status(thm)],[c_409136,c_317703,c_317743]) ).
cnf(c_410083,plain,
multiplication(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))),antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))) = multiplication(antidomain(antidomain(X0)),antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))),
inference(demodulation,[status(thm)],[c_402256,c_327610]) ).
cnf(c_411056,plain,
addition(antidomain(one),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(one)))))))))))))))))))))))) = antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(one))))))))))))))))))))))),
inference(superposition,[status(thm)],[c_317743,c_404110]) ).
cnf(c_411104,plain,
antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,one))))))))) = one,
inference(light_normalisation,[status(thm)],[c_411056,c_317703,c_317743,c_317928,c_402620,c_409153]) ).
cnf(c_413655,plain,
antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(sK0)))))))) = one,
inference(demodulation,[status(thm)],[c_411104,c_54]) ).
cnf(c_413764,plain,
multiplication(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(one))))))))))),antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(one))))))))) = multiplication(one,antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(one))))))))))),
inference(superposition,[status(thm)],[c_413655,c_410083]) ).
cnf(c_413958,plain,
multiplication(one,antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,one))))))))) = multiplication(one,antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(multiplication(sK0,one))))))),
inference(light_normalisation,[status(thm)],[c_413764,c_317703,c_317743,c_411104]) ).
cnf(c_414029,plain,
antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(antidomain(sK0))))))) = antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(sK0))))),
inference(demodulation,[status(thm)],[c_413958,c_54,c_55]) ).
cnf(c_414030,plain,
antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(sK0)))))) = one,
inference(demodulation,[status(thm)],[c_413655,c_414029]) ).
cnf(c_414031,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_414030,c_68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE135+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.15/0.34 % Computer : n001.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Aug 29 11:49:22 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 105.52/14.83 % SZS status Started for theBenchmark.p
% 105.52/14.83 % SZS status Theorem for theBenchmark.p
% 105.52/14.83
% 105.52/14.83 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 105.52/14.83
% 105.52/14.83 ------ iProver source info
% 105.52/14.83
% 105.52/14.83 git: date: 2023-05-31 18:12:56 +0000
% 105.52/14.83 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 105.52/14.83 git: non_committed_changes: false
% 105.52/14.83 git: last_make_outside_of_git: false
% 105.52/14.83
% 105.52/14.83 ------ Parsing...
% 105.52/14.83 ------ Clausification by vclausify_rel & Parsing by iProver...
% 105.52/14.83
% 105.52/14.83 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 105.52/14.83
% 105.52/14.83 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 105.52/14.83
% 105.52/14.83 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 105.52/14.83 ------ Proving...
% 105.52/14.83 ------ Problem Properties
% 105.52/14.83
% 105.52/14.83
% 105.52/14.83 clauses 21
% 105.52/14.83 conjectures 2
% 105.52/14.83 EPR 0
% 105.52/14.83 Horn 21
% 105.52/14.83 unary 20
% 105.52/14.83 binary 1
% 105.52/14.83 lits 22
% 105.52/14.83 lits eq 22
% 105.52/14.83 fd_pure 0
% 105.52/14.83 fd_pseudo 0
% 105.52/14.83 fd_cond 0
% 105.52/14.83 fd_pseudo_cond 0
% 105.52/14.83 AC symbols 1
% 105.52/14.83
% 105.52/14.83 ------ Schedule dynamic 5 is on
% 105.52/14.83
% 105.52/14.83 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 105.52/14.83
% 105.52/14.83
% 105.52/14.83 ------
% 105.52/14.83 Current options:
% 105.52/14.83 ------
% 105.52/14.83
% 105.52/14.83
% 105.52/14.83
% 105.52/14.83
% 105.52/14.83 ------ Proving...
% 105.52/14.83 Proof_search_loop: time out after: 7721 full_loop iterations
% 105.52/14.83
% 105.52/14.83 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 105.52/14.83
% 105.52/14.83
% 105.52/14.83 ------
% 105.52/14.83 Current options:
% 105.52/14.83 ------
% 105.52/14.83
% 105.52/14.83
% 105.52/14.83
% 105.52/14.83
% 105.52/14.83 ------ Proving...
% 105.52/14.83
% 105.52/14.83
% 105.52/14.83 % SZS status Theorem for theBenchmark.p
% 105.52/14.83
% 105.52/14.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 105.52/14.84
% 105.52/14.84
%------------------------------------------------------------------------------