TSTP Solution File: KLE048+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : KLE048+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 05:31:54 EDT 2023
% Result : Theorem 25.02s 4.21s
% Output : CNFRefutation 25.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 18
% Syntax : Number of formulae : 146 ( 98 unt; 0 def)
% Number of atoms : 232 ( 133 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 145 ( 59 ~; 51 |; 19 &)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 193 ( 2 sgn; 96 !; 7 ?)
% 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(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_left) ).
fof(f16,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X0)
=> leq(multiplication(X2,star(X1)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_induction_right) ).
fof(f17,axiom,
! [X3] :
( test(X3)
<=> ? [X4] : complement(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_1) ).
fof(f18,axiom,
! [X3,X4] :
( complement(X4,X3)
<=> ( one = addition(X3,X4)
& zero = multiplication(X4,X3)
& zero = multiplication(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_2) ).
fof(f19,axiom,
! [X3,X4] :
( test(X3)
=> ( c(X3) = X4
<=> complement(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_3) ).
fof(f21,conjecture,
! [X3] :
( test(X3)
=> one = star(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f22,negated_conjecture,
~ ! [X3] :
( test(X3)
=> one = star(X3) ),
inference(negated_conjecture,[],[f21]) ).
fof(f23,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f24,plain,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
inference(rectify,[],[f17]) ).
fof(f25,plain,
! [X0,X1] :
( complement(X1,X0)
<=> ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) ) ),
inference(rectify,[],[f18]) ).
fof(f26,plain,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(rectify,[],[f19]) ).
fof(f28,plain,
~ ! [X0] :
( test(X0)
=> one = star(X0) ),
inference(rectify,[],[f22]) ).
fof(f30,plain,
! [X0,X1,X2] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f31,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f33,plain,
? [X0] :
( one != star(X0)
& test(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f34,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f35,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f36,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f35]) ).
fof(f37,plain,
! [X0] :
( ? [X2] : complement(X2,X0)
=> complement(sK0(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK0(X0),X0)
| ~ test(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f36,f37]) ).
fof(f39,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f40,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f31]) ).
fof(f42,plain,
( ? [X0] :
( one != star(X0)
& test(X0) )
=> ( one != star(sK1)
& test(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
( one != star(sK1)
& test(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f33,f42]) ).
fof(f44,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f45,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f23]) ).
fof(f46,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f47,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f48,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f49,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f50,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f51,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f52,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f55,plain,
! [X0,X1] :
( addition(X0,X1) = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f56,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[],[f34]) ).
fof(f58,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f60,plain,
! [X2,X0,X1] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f61,plain,
! [X0] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f63,plain,
! [X0,X1] :
( zero = multiplication(X0,X1)
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f65,plain,
! [X0,X1] :
( addition(X0,X1) = one
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f66,plain,
! [X0,X1] :
( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f67,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f70,plain,
test(sK1),
inference(cnf_transformation,[],[f43]) ).
fof(f71,plain,
one != star(sK1),
inference(cnf_transformation,[],[f43]) ).
fof(f72,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f67]) ).
cnf(c_49,plain,
addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f44]) ).
cnf(c_50,plain,
addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f45]) ).
cnf(c_51,plain,
addition(X0,zero) = X0,
inference(cnf_transformation,[],[f46]) ).
cnf(c_52,plain,
addition(X0,X0) = X0,
inference(cnf_transformation,[],[f47]) ).
cnf(c_53,plain,
multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f48]) ).
cnf(c_54,plain,
multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f49]) ).
cnf(c_55,plain,
multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f50]) ).
cnf(c_56,plain,
addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f51]) ).
cnf(c_57,plain,
addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f52]) ).
cnf(c_60,plain,
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_61,plain,
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f55]) ).
cnf(c_63,plain,
leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f58]) ).
cnf(c_65,plain,
( ~ leq(addition(multiplication(X0,X1),X2),X0)
| leq(multiplication(X2,star(X1)),X0) ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_67,plain,
( ~ test(X0)
| complement(sK0(X0),X0) ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_68,plain,
( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero
| complement(X1,X0) ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_69,plain,
( ~ complement(X0,X1)
| addition(X1,X0) = one ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_71,plain,
( ~ complement(X0,X1)
| multiplication(X1,X0) = zero ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_73,plain,
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(cnf_transformation,[],[f72]) ).
cnf(c_75,negated_conjecture,
star(sK1) != one,
inference(cnf_transformation,[],[f71]) ).
cnf(c_76,negated_conjecture,
test(sK1),
inference(cnf_transformation,[],[f70]) ).
cnf(c_106,plain,
( ~ test(X0)
| complement(sK0(X0),X0) ),
inference(prop_impl_just,[status(thm)],[c_67]) ).
cnf(c_404,plain,
( X0 != sK1
| complement(sK0(X0),X0) ),
inference(resolution_lifted,[status(thm)],[c_106,c_76]) ).
cnf(c_405,plain,
complement(sK0(sK1),sK1),
inference(unflattening,[status(thm)],[c_404]) ).
cnf(c_1049,plain,
addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_1087,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_1116,plain,
leq(X0,X0),
inference(superposition,[status(thm)],[c_52,c_60]) ).
cnf(c_1137,plain,
addition(addition(one,multiplication(star(X0),X0)),star(X0)) = star(X0),
inference(superposition,[status(thm)],[c_63,c_61]) ).
cnf(c_1143,plain,
addition(one,addition(star(X0),multiplication(star(X0),X0))) = star(X0),
inference(theory_normalisation,[status(thm)],[c_1137,c_50,c_49]) ).
cnf(c_1155,plain,
( ~ test(X0)
| addition(X0,sK0(X0)) = one ),
inference(superposition,[status(thm)],[c_67,c_69]) ).
cnf(c_1156,plain,
( ~ test(X0)
| addition(c(X0),X0) = one ),
inference(superposition,[status(thm)],[c_73,c_69]) ).
cnf(c_1157,plain,
( ~ test(X0)
| addition(X0,c(X0)) = one ),
inference(theory_normalisation,[status(thm)],[c_1156,c_50,c_49]) ).
cnf(c_1186,plain,
addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_52,c_50]) ).
cnf(c_1221,plain,
addition(sK1,sK0(sK1)) = one,
inference(superposition,[status(thm)],[c_76,c_1155]) ).
cnf(c_1231,plain,
addition(sK1,addition(sK0(sK1),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1221,c_50]) ).
cnf(c_1233,plain,
addition(sK1,addition(X0,sK0(sK1))) = addition(X0,one),
inference(superposition,[status(thm)],[c_1221,c_1049]) ).
cnf(c_1256,plain,
addition(one,sK0(sK1)) = addition(sK1,sK0(sK1)),
inference(superposition,[status(thm)],[c_52,c_1231]) ).
cnf(c_1257,plain,
addition(sK1,addition(X0,addition(sK0(sK1),X1))) = addition(one,addition(X0,X1)),
inference(superposition,[status(thm)],[c_1049,c_1231]) ).
cnf(c_1265,plain,
addition(one,sK0(sK1)) = one,
inference(light_normalisation,[status(thm)],[c_1256,c_1221]) ).
cnf(c_1292,plain,
addition(one,addition(sK0(sK1),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1265,c_50]) ).
cnf(c_1308,plain,
addition(one,one) = addition(sK1,one),
inference(superposition,[status(thm)],[c_1265,c_1233]) ).
cnf(c_1317,plain,
addition(one,one) = addition(one,sK1),
inference(theory_normalisation,[status(thm)],[c_1308,c_50,c_49]) ).
cnf(c_1415,plain,
addition(multiplication(X0,sK1),multiplication(X0,sK0(sK1))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_1221,c_56]) ).
cnf(c_1433,plain,
addition(multiplication(X0,sK1),multiplication(X0,sK0(sK1))) = X0,
inference(light_normalisation,[status(thm)],[c_1415,c_54]) ).
cnf(c_1512,plain,
addition(one,sK1) = one,
inference(demodulation,[status(thm)],[c_1317,c_52]) ).
cnf(c_1516,plain,
addition(multiplication(X0,one),multiplication(X0,sK1)) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_1512,c_56]) ).
cnf(c_1518,plain,
addition(multiplication(one,X0),multiplication(sK1,X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_1512,c_57]) ).
cnf(c_1522,plain,
addition(X0,multiplication(sK1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1518,c_55]) ).
cnf(c_1523,plain,
addition(X0,multiplication(X0,sK1)) = X0,
inference(light_normalisation,[status(thm)],[c_1516,c_54]) ).
cnf(c_1876,plain,
addition(multiplication(X0,one),multiplication(X0,addition(star(X1),multiplication(star(X1),X1)))) = multiplication(X0,star(X1)),
inference(superposition,[status(thm)],[c_1143,c_56]) ).
cnf(c_1886,plain,
addition(X0,multiplication(X0,addition(star(X1),multiplication(star(X1),X1)))) = multiplication(X0,star(X1)),
inference(light_normalisation,[status(thm)],[c_1876,c_54]) ).
cnf(c_2112,plain,
( multiplication(sK0(sK1),sK1) != zero
| multiplication(sK1,sK0(sK1)) != zero
| complement(sK0(sK1),sK1) ),
inference(superposition,[status(thm)],[c_1221,c_68]) ).
cnf(c_2374,plain,
addition(one,star(sK1)) = star(sK1),
inference(superposition,[status(thm)],[c_1523,c_1143]) ).
cnf(c_2544,plain,
complement(sK0(sK1),sK1),
inference(global_subsumption_just,[status(thm)],[c_2112,c_405]) ).
cnf(c_2547,plain,
multiplication(sK1,sK0(sK1)) = zero,
inference(superposition,[status(thm)],[c_2544,c_71]) ).
cnf(c_2562,plain,
addition(multiplication(sK1,sK1),zero) = sK1,
inference(superposition,[status(thm)],[c_2547,c_1433]) ).
cnf(c_2566,plain,
addition(zero,multiplication(sK1,sK1)) = sK1,
inference(theory_normalisation,[status(thm)],[c_2562,c_50,c_49]) ).
cnf(c_3488,plain,
addition(multiplication(X0,one),multiplication(X0,star(sK1))) = multiplication(X0,star(sK1)),
inference(superposition,[status(thm)],[c_2374,c_56]) ).
cnf(c_3497,plain,
addition(X0,multiplication(X0,star(sK1))) = multiplication(X0,star(sK1)),
inference(light_normalisation,[status(thm)],[c_3488,c_54]) ).
cnf(c_3510,plain,
multiplication(sK1,sK1) = sK1,
inference(demodulation,[status(thm)],[c_2566,c_1087]) ).
cnf(c_5526,plain,
addition(sK1,c(sK1)) = one,
inference(superposition,[status(thm)],[c_76,c_1157]) ).
cnf(c_5569,plain,
addition(sK1,addition(c(sK1),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_5526,c_50]) ).
cnf(c_5571,plain,
addition(multiplication(X0,sK1),multiplication(X0,c(sK1))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_5526,c_56]) ).
cnf(c_5573,plain,
addition(multiplication(sK1,X0),multiplication(c(sK1),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_5526,c_57]) ).
cnf(c_5579,plain,
addition(multiplication(sK1,X0),multiplication(c(sK1),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_5573,c_55]) ).
cnf(c_5580,plain,
addition(multiplication(X0,sK1),multiplication(X0,c(sK1))) = X0,
inference(light_normalisation,[status(thm)],[c_5571,c_54]) ).
cnf(c_5771,plain,
addition(one,addition(sK0(sK1),X0)) = addition(one,addition(c(sK1),X0)),
inference(superposition,[status(thm)],[c_5569,c_1257]) ).
cnf(c_5799,plain,
addition(one,addition(c(sK1),X0)) = addition(one,X0),
inference(light_normalisation,[status(thm)],[c_5771,c_1292]) ).
cnf(c_7317,plain,
leq(X0,addition(X0,X1)),
inference(superposition,[status(thm)],[c_1186,c_60]) ).
cnf(c_7452,plain,
leq(addition(X0,X1),addition(X0,addition(X1,X2))),
inference(superposition,[status(thm)],[c_50,c_7317]) ).
cnf(c_10063,plain,
( ~ leq(X0,X0)
| leq(multiplication(multiplication(X0,c(sK1)),star(sK1)),X0) ),
inference(superposition,[status(thm)],[c_5580,c_65]) ).
cnf(c_10075,plain,
leq(multiplication(multiplication(X0,c(sK1)),star(sK1)),X0),
inference(forward_subsumption_resolution,[status(thm)],[c_10063,c_1116]) ).
cnf(c_11730,plain,
leq(addition(X0,multiplication(X1,sK1)),addition(X0,X1)),
inference(superposition,[status(thm)],[c_5580,c_7452]) ).
cnf(c_12937,plain,
leq(multiplication(X0,multiplication(c(sK1),star(sK1))),X0),
inference(demodulation,[status(thm)],[c_10075,c_53]) ).
cnf(c_12939,plain,
leq(multiplication(c(sK1),star(sK1)),one),
inference(superposition,[status(thm)],[c_55,c_12937]) ).
cnf(c_13206,plain,
addition(multiplication(c(sK1),star(sK1)),one) = one,
inference(superposition,[status(thm)],[c_12939,c_61]) ).
cnf(c_13207,plain,
addition(one,multiplication(c(sK1),star(sK1))) = one,
inference(theory_normalisation,[status(thm)],[c_13206,c_50,c_49]) ).
cnf(c_18426,plain,
leq(addition(X0,multiplication(X1,sK1)),addition(X1,X0)),
inference(superposition,[status(thm)],[c_49,c_11730]) ).
cnf(c_18653,plain,
leq(addition(multiplication(sK1,X0),multiplication(X0,sK1)),X0),
inference(superposition,[status(thm)],[c_1522,c_18426]) ).
cnf(c_32975,plain,
addition(X0,addition(multiplication(X0,star(X1)),multiplication(X0,multiplication(star(X1),X1)))) = multiplication(X0,star(X1)),
inference(demodulation,[status(thm)],[c_1886,c_56]) ).
cnf(c_33118,plain,
addition(one,addition(multiplication(c(sK1),star(X0)),multiplication(c(sK1),multiplication(star(X0),X0)))) = addition(one,multiplication(c(sK1),star(X0))),
inference(superposition,[status(thm)],[c_32975,c_5799]) ).
cnf(c_33127,plain,
addition(one,addition(multiplication(c(sK1),star(X0)),multiplication(c(sK1),multiplication(star(X0),X0)))) = addition(sK1,multiplication(c(sK1),star(X0))),
inference(superposition,[status(thm)],[c_32975,c_5569]) ).
cnf(c_34411,plain,
addition(one,multiplication(c(sK1),star(X0))) = addition(sK1,multiplication(c(sK1),star(X0))),
inference(light_normalisation,[status(thm)],[c_33127,c_33118]) ).
cnf(c_119957,plain,
leq(multiplication(multiplication(sK1,sK1),star(sK1)),sK1),
inference(superposition,[status(thm)],[c_18653,c_65]) ).
cnf(c_119964,plain,
leq(multiplication(sK1,star(sK1)),sK1),
inference(light_normalisation,[status(thm)],[c_119957,c_3510]) ).
cnf(c_119989,plain,
addition(multiplication(sK1,star(sK1)),sK1) = sK1,
inference(superposition,[status(thm)],[c_119964,c_61]) ).
cnf(c_119990,plain,
addition(sK1,multiplication(sK1,star(sK1))) = sK1,
inference(theory_normalisation,[status(thm)],[c_119989,c_50,c_49]) ).
cnf(c_120490,plain,
multiplication(sK1,star(sK1)) = sK1,
inference(demodulation,[status(thm)],[c_119990,c_3497]) ).
cnf(c_120569,plain,
addition(sK1,multiplication(c(sK1),star(sK1))) = star(sK1),
inference(superposition,[status(thm)],[c_120490,c_5579]) ).
cnf(c_126207,plain,
star(sK1) = one,
inference(demodulation,[status(thm)],[c_120569,c_13207,c_34411]) ).
cnf(c_126208,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_126207,c_75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE048+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 12:07:05 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 25.02/4.21 % SZS status Started for theBenchmark.p
% 25.02/4.21 % SZS status Theorem for theBenchmark.p
% 25.02/4.21
% 25.02/4.21 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 25.02/4.21
% 25.02/4.21 ------ iProver source info
% 25.02/4.21
% 25.02/4.21 git: date: 2023-05-31 18:12:56 +0000
% 25.02/4.21 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 25.02/4.21 git: non_committed_changes: false
% 25.02/4.21 git: last_make_outside_of_git: false
% 25.02/4.21
% 25.02/4.21 ------ Parsing...
% 25.02/4.21 ------ Clausification by vclausify_rel & Parsing by iProver...
% 25.02/4.21
% 25.02/4.21 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 25.02/4.21
% 25.02/4.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 25.02/4.21
% 25.02/4.21 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 25.02/4.21 ------ Proving...
% 25.02/4.21 ------ Problem Properties
% 25.02/4.21
% 25.02/4.21
% 25.02/4.21 clauses 28
% 25.02/4.21 conjectures 2
% 25.02/4.21 EPR 2
% 25.02/4.21 Horn 27
% 25.02/4.21 unary 15
% 25.02/4.21 binary 11
% 25.02/4.21 lits 44
% 25.02/4.21 lits eq 22
% 25.02/4.21 fd_pure 0
% 25.02/4.21 fd_pseudo 0
% 25.02/4.21 fd_cond 0
% 25.02/4.21 fd_pseudo_cond 1
% 25.02/4.21 AC symbols 1
% 25.02/4.21
% 25.02/4.21 ------ Schedule dynamic 5 is on
% 25.02/4.21
% 25.02/4.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 25.02/4.21
% 25.02/4.21
% 25.02/4.21 ------
% 25.02/4.21 Current options:
% 25.02/4.21 ------
% 25.02/4.21
% 25.02/4.21
% 25.02/4.21
% 25.02/4.21
% 25.02/4.21 ------ Proving...
% 25.02/4.21
% 25.02/4.21
% 25.02/4.21 % SZS status Theorem for theBenchmark.p
% 25.02/4.21
% 25.02/4.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 25.02/4.21
% 25.02/4.21
%------------------------------------------------------------------------------