TSTP Solution File: KLE011+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : KLE011+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 05:31:40 EDT 2023
% Result : Theorem 26.68s 4.72s
% Output : CNFRefutation 26.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 174 ( 140 unt; 0 def)
% Number of atoms : 247 ( 175 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 121 ( 48 ~; 32 |; 27 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 191 ( 0 sgn; 78 !; 11 ?)
% 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(f13,axiom,
! [X3] :
( test(X3)
<=> ? [X4] : complement(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_1) ).
fof(f14,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(f15,axiom,
! [X3,X4] :
( test(X3)
=> ( c(X3) = X4
<=> complement(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_3) ).
fof(f17,conjecture,
! [X3,X4] :
( ( test(X3)
& test(X4) )
=> one = addition(addition(multiplication(addition(X4,c(X4)),X3),multiplication(addition(X3,c(X3)),X4)),multiplication(c(X3),c(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X3,X4] :
( ( test(X3)
& test(X4) )
=> one = addition(addition(multiplication(addition(X4,c(X4)),X3),multiplication(addition(X3,c(X3)),X4)),multiplication(c(X3),c(X4))) ),
inference(negated_conjecture,[],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f20,plain,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f21,plain,
! [X0,X1] :
( complement(X1,X0)
<=> ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f22,plain,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f24,plain,
~ ! [X0,X1] :
( ( test(X0)
& test(X1) )
=> one = addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))) ),
inference(rectify,[],[f18]) ).
fof(f25,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f27,plain,
? [X0,X1] :
( one != addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))
& test(X0)
& test(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f28,plain,
? [X0,X1] :
( one != addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))
& test(X0)
& test(X1) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f30,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f29]) ).
fof(f31,plain,
! [X0] :
( ? [X2] : complement(X2,X0)
=> complement(sK0(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK0(X0),X0)
| ~ test(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f30,f31]) ).
fof(f33,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,[],[f21]) ).
fof(f34,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,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f25]) ).
fof(f36,plain,
( ? [X0,X1] :
( one != addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))
& test(X0)
& test(X1) )
=> ( one != addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2)))
& test(sK1)
& test(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
( one != addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2)))
& test(sK1)
& test(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f28,f36]) ).
fof(f38,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f39,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f19]) ).
fof(f40,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f41,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f42,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f43,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f44,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f45,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f46,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f49,plain,
! [X0] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f51,plain,
! [X0,X1] :
( zero = multiplication(X0,X1)
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f53,plain,
! [X0,X1] :
( addition(X0,X1) = one
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f55,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f58,plain,
test(sK2),
inference(cnf_transformation,[],[f37]) ).
fof(f59,plain,
test(sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f60,plain,
one != addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2))),
inference(cnf_transformation,[],[f37]) ).
fof(f61,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f55]) ).
cnf(c_49,plain,
addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f38]) ).
cnf(c_50,plain,
addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f39]) ).
cnf(c_51,plain,
addition(X0,zero) = X0,
inference(cnf_transformation,[],[f40]) ).
cnf(c_52,plain,
addition(X0,X0) = X0,
inference(cnf_transformation,[],[f41]) ).
cnf(c_53,plain,
multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f42]) ).
cnf(c_54,plain,
multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f43]) ).
cnf(c_55,plain,
multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f44]) ).
cnf(c_56,plain,
addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f45]) ).
cnf(c_57,plain,
addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f46]) ).
cnf(c_61,plain,
( ~ test(X0)
| complement(sK0(X0),X0) ),
inference(cnf_transformation,[],[f49]) ).
cnf(c_63,plain,
( ~ complement(X0,X1)
| addition(X1,X0) = one ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_65,plain,
( ~ complement(X0,X1)
| multiplication(X1,X0) = zero ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_67,plain,
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_69,negated_conjecture,
addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2))) != one,
inference(cnf_transformation,[],[f60]) ).
cnf(c_70,negated_conjecture,
test(sK1),
inference(cnf_transformation,[],[f59]) ).
cnf(c_71,negated_conjecture,
test(sK2),
inference(cnf_transformation,[],[f58]) ).
cnf(c_88,negated_conjecture,
addition(multiplication(c(sK1),c(sK2)),addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2))) != one,
inference(theory_normalisation,[status(thm)],[c_69,c_50,c_49]) ).
cnf(c_700,plain,
addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_703,plain,
addition(multiplication(addition(sK2,c(sK2)),sK1),addition(multiplication(c(sK1),c(sK2)),multiplication(addition(sK1,c(sK1)),sK2))) != one,
inference(theory_normalisation,[status(thm)],[c_88,c_50,c_49]) ).
cnf(c_704,plain,
addition(addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),addition(multiplication(c(sK1),c(sK2)),addition(multiplication(sK1,sK2),multiplication(c(sK1),sK2)))) != one,
inference(demodulation,[status(thm)],[c_703,c_57]) ).
cnf(c_705,plain,
addition(multiplication(sK2,sK1),addition(multiplication(c(sK2),sK1),addition(multiplication(sK1,sK2),addition(multiplication(c(sK1),sK2),multiplication(c(sK1),c(sK2)))))) != one,
inference(theory_normalisation,[status(thm)],[c_704,c_50,c_49]) ).
cnf(c_711,plain,
addition(X0,addition(X1,X0)) = addition(X1,X0),
inference(superposition,[status(thm)],[c_52,c_700]) ).
cnf(c_741,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_759,plain,
( ~ test(X0)
| addition(X0,sK0(X0)) = one ),
inference(superposition,[status(thm)],[c_61,c_63]) ).
cnf(c_760,plain,
( ~ test(X0)
| addition(c(X0),X0) = one ),
inference(superposition,[status(thm)],[c_67,c_63]) ).
cnf(c_761,plain,
( ~ test(X0)
| addition(X0,c(X0)) = one ),
inference(theory_normalisation,[status(thm)],[c_760,c_50,c_49]) ).
cnf(c_782,plain,
( ~ test(X0)
| multiplication(c(X0),X0) = zero ),
inference(superposition,[status(thm)],[c_67,c_65]) ).
cnf(c_790,plain,
addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_49,c_711]) ).
cnf(c_812,plain,
addition(sK1,sK0(sK1)) = one,
inference(superposition,[status(thm)],[c_70,c_759]) ).
cnf(c_813,plain,
addition(sK2,sK0(sK2)) = one,
inference(superposition,[status(thm)],[c_71,c_759]) ).
cnf(c_821,plain,
addition(sK0(sK1),one) = one,
inference(superposition,[status(thm)],[c_812,c_711]) ).
cnf(c_822,plain,
addition(sK1,addition(X0,sK0(sK1))) = addition(X0,one),
inference(superposition,[status(thm)],[c_812,c_700]) ).
cnf(c_824,plain,
addition(one,sK0(sK1)) = one,
inference(theory_normalisation,[status(thm)],[c_821,c_50,c_49]) ).
cnf(c_880,plain,
addition(multiplication(X0,sK1),multiplication(X0,sK0(sK1))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_812,c_56]) ).
cnf(c_893,plain,
addition(multiplication(X0,sK1),multiplication(X0,sK0(sK1))) = X0,
inference(light_normalisation,[status(thm)],[c_880,c_54]) ).
cnf(c_915,plain,
addition(sK2,addition(sK0(sK2),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_813,c_50]) ).
cnf(c_960,plain,
addition(one,one) = addition(sK1,one),
inference(superposition,[status(thm)],[c_824,c_822]) ).
cnf(c_968,plain,
addition(one,one) = addition(one,sK1),
inference(theory_normalisation,[status(thm)],[c_960,c_50,c_49]) ).
cnf(c_1035,plain,
addition(sK0(sK2),sK2) = addition(one,sK2),
inference(superposition,[status(thm)],[c_915,c_711]) ).
cnf(c_1036,plain,
addition(sK2,sK0(sK2)) = addition(one,sK2),
inference(theory_normalisation,[status(thm)],[c_1035,c_50,c_49]) ).
cnf(c_1037,plain,
addition(one,sK2) = one,
inference(light_normalisation,[status(thm)],[c_1036,c_813]) ).
cnf(c_1066,plain,
addition(one,addition(sK2,X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1037,c_50]) ).
cnf(c_1068,plain,
addition(multiplication(X0,one),multiplication(X0,sK2)) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_1037,c_56]) ).
cnf(c_1072,plain,
addition(X0,multiplication(X0,sK2)) = X0,
inference(light_normalisation,[status(thm)],[c_1068,c_54]) ).
cnf(c_1109,plain,
addition(one,addition(X0,sK2)) = addition(one,X0),
inference(superposition,[status(thm)],[c_49,c_1066]) ).
cnf(c_1232,plain,
addition(multiplication(X0,sK1),X0) = X0,
inference(superposition,[status(thm)],[c_893,c_790]) ).
cnf(c_1254,plain,
addition(X0,multiplication(X0,sK1)) = X0,
inference(theory_normalisation,[status(thm)],[c_1232,c_50,c_49]) ).
cnf(c_1318,plain,
addition(multiplication(one,X0),multiplication(sK2,X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_1037,c_57]) ).
cnf(c_1332,plain,
addition(X0,multiplication(sK2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1318,c_55]) ).
cnf(c_1602,plain,
addition(multiplication(X0,X1),multiplication(X0,multiplication(X1,sK2))) = multiplication(X0,X1),
inference(superposition,[status(thm)],[c_1072,c_56]) ).
cnf(c_1648,plain,
addition(one,sK1) = one,
inference(demodulation,[status(thm)],[c_968,c_52]) ).
cnf(c_1651,plain,
addition(one,addition(sK1,X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1648,c_50]) ).
cnf(c_1655,plain,
addition(multiplication(one,X0),multiplication(sK1,X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_1648,c_57]) ).
cnf(c_1658,plain,
addition(X0,multiplication(sK1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1655,c_55]) ).
cnf(c_1675,plain,
addition(multiplication(X0,X1),multiplication(X0,multiplication(X1,sK1))) = multiplication(X0,X1),
inference(superposition,[status(thm)],[c_1254,c_56]) ).
cnf(c_1683,plain,
addition(one,multiplication(sK2,sK1)) = addition(one,sK2),
inference(superposition,[status(thm)],[c_1254,c_1066]) ).
cnf(c_1685,plain,
addition(one,multiplication(sK2,sK1)) = one,
inference(light_normalisation,[status(thm)],[c_1683,c_1037]) ).
cnf(c_1738,plain,
addition(X0,addition(multiplication(sK2,X0),X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_1332,c_50]) ).
cnf(c_1740,plain,
addition(multiplication(X0,X1),multiplication(X0,multiplication(sK2,X1))) = multiplication(X0,X1),
inference(superposition,[status(thm)],[c_1332,c_56]) ).
cnf(c_2096,plain,
addition(one,addition(multiplication(sK2,sK1),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1685,c_50]) ).
cnf(c_2098,plain,
addition(multiplication(X0,one),multiplication(X0,multiplication(sK2,sK1))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_1685,c_56]) ).
cnf(c_2104,plain,
addition(X0,multiplication(X0,multiplication(sK2,sK1))) = X0,
inference(light_normalisation,[status(thm)],[c_2098,c_54]) ).
cnf(c_2423,plain,
addition(X0,addition(multiplication(sK1,X0),X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_1658,c_50]) ).
cnf(c_2425,plain,
addition(multiplication(X0,X1),multiplication(X0,multiplication(sK1,X1))) = multiplication(X0,X1),
inference(superposition,[status(thm)],[c_1658,c_56]) ).
cnf(c_3867,plain,
addition(sK1,c(sK1)) = one,
inference(superposition,[status(thm)],[c_70,c_761]) ).
cnf(c_3868,plain,
addition(sK2,c(sK2)) = one,
inference(superposition,[status(thm)],[c_71,c_761]) ).
cnf(c_3882,plain,
addition(sK1,addition(c(sK1),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_3867,c_50]) ).
cnf(c_3884,plain,
addition(multiplication(X0,sK1),multiplication(X0,c(sK1))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_3867,c_56]) ).
cnf(c_3886,plain,
addition(multiplication(sK1,X0),multiplication(c(sK1),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_3867,c_57]) ).
cnf(c_3890,plain,
addition(multiplication(sK1,X0),multiplication(c(sK1),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3886,c_55]) ).
cnf(c_3891,plain,
addition(multiplication(X0,sK1),multiplication(X0,c(sK1))) = X0,
inference(light_normalisation,[status(thm)],[c_3884,c_54]) ).
cnf(c_3915,plain,
addition(c(sK2),one) = one,
inference(superposition,[status(thm)],[c_3868,c_711]) ).
cnf(c_3916,plain,
addition(multiplication(X0,sK2),multiplication(X0,c(sK2))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_3868,c_56]) ).
cnf(c_3918,plain,
addition(multiplication(sK2,X0),multiplication(c(sK2),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_3868,c_57]) ).
cnf(c_3922,plain,
addition(one,c(sK2)) = one,
inference(theory_normalisation,[status(thm)],[c_3915,c_50,c_49]) ).
cnf(c_3923,plain,
addition(multiplication(sK2,X0),multiplication(c(sK2),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3918,c_55]) ).
cnf(c_3924,plain,
addition(multiplication(X0,sK2),multiplication(X0,c(sK2))) = X0,
inference(light_normalisation,[status(thm)],[c_3916,c_54]) ).
cnf(c_3928,plain,
addition(multiplication(sK2,sK1),addition(multiplication(c(sK2),sK1),addition(multiplication(sK1,sK2),c(sK1)))) != one,
inference(demodulation,[status(thm)],[c_705,c_3924]) ).
cnf(c_4028,plain,
addition(sK1,addition(X0,c(sK1))) = addition(one,X0),
inference(superposition,[status(thm)],[c_49,c_3882]) ).
cnf(c_4540,plain,
addition(one,addition(c(sK2),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_3922,c_50]) ).
cnf(c_4542,plain,
addition(multiplication(X0,one),multiplication(X0,c(sK2))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_3922,c_56]) ).
cnf(c_4545,plain,
addition(one,addition(X0,c(sK2))) = addition(X0,one),
inference(superposition,[status(thm)],[c_3922,c_700]) ).
cnf(c_4548,plain,
addition(X0,multiplication(X0,c(sK2))) = X0,
inference(light_normalisation,[status(thm)],[c_4542,c_54]) ).
cnf(c_5485,plain,
multiplication(c(sK1),sK1) = zero,
inference(superposition,[status(thm)],[c_70,c_782]) ).
cnf(c_5486,plain,
multiplication(c(sK2),sK2) = zero,
inference(superposition,[status(thm)],[c_71,c_782]) ).
cnf(c_5993,plain,
addition(multiplication(sK2,X0),addition(multiplication(c(sK2),X0),X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_3923,c_50]) ).
cnf(c_6143,plain,
addition(sK1,addition(X0,addition(X1,c(sK1)))) = addition(one,addition(X0,X1)),
inference(superposition,[status(thm)],[c_50,c_4028]) ).
cnf(c_6562,plain,
addition(one,addition(X0,addition(X1,sK2))) = addition(one,addition(X0,X1)),
inference(superposition,[status(thm)],[c_50,c_1109]) ).
cnf(c_7014,plain,
addition(X0,addition(multiplication(X0,multiplication(sK2,sK1)),X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_2104,c_50]) ).
cnf(c_7022,plain,
addition(one,multiplication(sK1,multiplication(sK2,sK1))) = addition(one,sK1),
inference(superposition,[status(thm)],[c_2104,c_1651]) ).
cnf(c_7030,plain,
addition(one,multiplication(sK1,multiplication(sK2,sK1))) = one,
inference(light_normalisation,[status(thm)],[c_7022,c_1648]) ).
cnf(c_7446,plain,
addition(one,addition(X0,multiplication(sK1,multiplication(sK2,sK1)))) = addition(X0,one),
inference(superposition,[status(thm)],[c_7030,c_700]) ).
cnf(c_8740,plain,
addition(one,c(sK2)) = addition(one,zero),
inference(superposition,[status(thm)],[c_51,c_4540]) ).
cnf(c_8786,plain,
addition(one,c(sK2)) = addition(zero,one),
inference(theory_normalisation,[status(thm)],[c_8740,c_50,c_49]) ).
cnf(c_12120,plain,
addition(X0,addition(X1,multiplication(sK2,X0))) = addition(X0,X1),
inference(superposition,[status(thm)],[c_49,c_1738]) ).
cnf(c_13018,plain,
addition(X0,addition(X1,multiplication(sK1,X0))) = addition(X0,X1),
inference(superposition,[status(thm)],[c_49,c_2423]) ).
cnf(c_13048,plain,
addition(X0,multiplication(multiplication(sK1,X0),c(sK2))) = addition(X0,multiplication(sK1,X0)),
inference(superposition,[status(thm)],[c_4548,c_2423]) ).
cnf(c_13173,plain,
addition(X0,multiplication(multiplication(sK1,X0),c(sK2))) = X0,
inference(light_normalisation,[status(thm)],[c_13048,c_1658]) ).
cnf(c_19700,plain,
addition(c(sK1),multiplication(sK2,sK1)) = addition(c(sK1),sK2),
inference(superposition,[status(thm)],[c_3891,c_12120]) ).
cnf(c_19818,plain,
addition(multiplication(sK2,sK1),c(sK1)) = addition(sK2,c(sK1)),
inference(theory_normalisation,[status(thm)],[c_19700,c_50,c_49]) ).
cnf(c_20187,plain,
addition(one,addition(X0,multiplication(sK1,multiplication(sK2,sK1)))) = addition(one,addition(multiplication(sK2,sK1),X0)),
inference(superposition,[status(thm)],[c_13018,c_2096]) ).
cnf(c_20282,plain,
addition(one,addition(X0,multiplication(sK1,multiplication(sK2,sK1)))) = addition(one,X0),
inference(light_normalisation,[status(thm)],[c_20187,c_2096,c_7446]) ).
cnf(c_20764,plain,
addition(X0,multiplication(sK1,multiplication(X0,c(sK2)))) = X0,
inference(demodulation,[status(thm)],[c_13173,c_53]) ).
cnf(c_20781,plain,
addition(X0,addition(multiplication(sK1,multiplication(X0,c(sK2))),X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_20764,c_50]) ).
cnf(c_39521,plain,
addition(zero,multiplication(c(sK1),multiplication(sK2,sK1))) = zero,
inference(superposition,[status(thm)],[c_5485,c_1740]) ).
cnf(c_39705,plain,
multiplication(c(sK1),multiplication(sK2,sK1)) = zero,
inference(demodulation,[status(thm)],[c_39521,c_741]) ).
cnf(c_39724,plain,
addition(multiplication(sK1,multiplication(sK2,sK1)),zero) = multiplication(sK2,sK1),
inference(superposition,[status(thm)],[c_39705,c_3890]) ).
cnf(c_39734,plain,
addition(zero,multiplication(sK1,multiplication(sK2,sK1))) = multiplication(sK2,sK1),
inference(theory_normalisation,[status(thm)],[c_39724,c_50,c_49]) ).
cnf(c_47129,plain,
addition(zero,multiplication(c(sK2),multiplication(sK1,sK2))) = zero,
inference(superposition,[status(thm)],[c_5486,c_2425]) ).
cnf(c_47424,plain,
multiplication(c(sK2),multiplication(sK1,sK2)) = zero,
inference(demodulation,[status(thm)],[c_47129,c_741]) ).
cnf(c_47446,plain,
addition(multiplication(sK2,multiplication(sK1,sK2)),zero) = multiplication(sK1,sK2),
inference(superposition,[status(thm)],[c_47424,c_3923]) ).
cnf(c_47456,plain,
addition(zero,multiplication(sK2,multiplication(sK1,sK2))) = multiplication(sK1,sK2),
inference(theory_normalisation,[status(thm)],[c_47446,c_50,c_49]) ).
cnf(c_58746,plain,
multiplication(sK1,multiplication(sK2,sK1)) = multiplication(sK2,sK1),
inference(demodulation,[status(thm)],[c_39734,c_741]) ).
cnf(c_58756,plain,
addition(multiplication(sK1,sK2),multiplication(sK2,sK1)) = multiplication(sK1,sK2),
inference(superposition,[status(thm)],[c_58746,c_1675]) ).
cnf(c_58783,plain,
addition(multiplication(sK2,sK1),multiplication(sK1,sK2)) = multiplication(sK1,sK2),
inference(theory_normalisation,[status(thm)],[c_58756,c_50,c_49]) ).
cnf(c_58795,plain,
multiplication(sK2,multiplication(sK1,sK2)) = multiplication(sK1,sK2),
inference(demodulation,[status(thm)],[c_47456,c_741]) ).
cnf(c_58816,plain,
addition(multiplication(sK2,sK1),multiplication(sK1,sK2)) = multiplication(sK2,sK1),
inference(superposition,[status(thm)],[c_58795,c_1602]) ).
cnf(c_66234,plain,
multiplication(sK2,sK1) = multiplication(sK1,sK2),
inference(light_normalisation,[status(thm)],[c_58783,c_58816]) ).
cnf(c_71328,plain,
addition(one,addition(multiplication(sK1,multiplication(sK2,sK1)),X0)) = addition(sK1,addition(X0,c(sK1))),
inference(superposition,[status(thm)],[c_6143,c_7014]) ).
cnf(c_105553,plain,
addition(one,addition(multiplication(sK1,multiplication(one,c(sK2))),X0)) = addition(one,addition(X0,sK2)),
inference(superposition,[status(thm)],[c_20781,c_6562]) ).
cnf(c_105591,plain,
addition(multiplication(sK1,multiplication(one,c(sK2))),one) = addition(one,c(sK2)),
inference(superposition,[status(thm)],[c_20781,c_4545]) ).
cnf(c_105685,plain,
addition(one,multiplication(sK1,multiplication(one,c(sK2)))) = addition(one,c(sK2)),
inference(theory_normalisation,[status(thm)],[c_105591,c_50,c_49]) ).
cnf(c_105686,plain,
addition(one,multiplication(sK1,multiplication(one,c(sK2)))) = addition(zero,one),
inference(light_normalisation,[status(thm)],[c_105685,c_8786]) ).
cnf(c_142899,plain,
addition(multiplication(sK2,sK1),addition(multiplication(c(sK2),sK1),addition(sK2,c(sK1)))) != one,
inference(light_normalisation,[status(thm)],[c_3928,c_19818,c_66234]) ).
cnf(c_142900,plain,
one != one,
inference(demodulation,[status(thm)],[c_142899,c_741,c_5993,c_20282,c_71328,c_105553,c_105686]) ).
cnf(c_142901,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_142900]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KLE011+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 10:58:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 26.68/4.72 % SZS status Started for theBenchmark.p
% 26.68/4.72 % SZS status Theorem for theBenchmark.p
% 26.68/4.72
% 26.68/4.72 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 26.68/4.72
% 26.68/4.72 ------ iProver source info
% 26.68/4.72
% 26.68/4.72 git: date: 2023-05-31 18:12:56 +0000
% 26.68/4.72 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 26.68/4.72 git: non_committed_changes: false
% 26.68/4.72 git: last_make_outside_of_git: false
% 26.68/4.72
% 26.68/4.72 ------ Parsing...
% 26.68/4.72 ------ Clausification by vclausify_rel & Parsing by iProver...
% 26.68/4.72
% 26.68/4.72 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 26.68/4.72
% 26.68/4.72 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 26.68/4.72
% 26.68/4.72 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 26.68/4.72 ------ Proving...
% 26.68/4.72 ------ Problem Properties
% 26.68/4.72
% 26.68/4.72
% 26.68/4.72 clauses 23
% 26.68/4.72 conjectures 3
% 26.68/4.72 EPR 3
% 26.68/4.72 Horn 22
% 26.68/4.72 unary 14
% 26.68/4.72 binary 7
% 26.68/4.72 lits 35
% 26.68/4.72 lits eq 20
% 26.68/4.72 fd_pure 0
% 26.68/4.72 fd_pseudo 0
% 26.68/4.72 fd_cond 0
% 26.68/4.72 fd_pseudo_cond 1
% 26.68/4.72 AC symbols 1
% 26.68/4.72
% 26.68/4.72 ------ Schedule dynamic 5 is on
% 26.68/4.72
% 26.68/4.72 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 26.68/4.72
% 26.68/4.72
% 26.68/4.72 ------
% 26.68/4.72 Current options:
% 26.68/4.72 ------
% 26.68/4.72
% 26.68/4.72
% 26.68/4.72
% 26.68/4.72
% 26.68/4.72 ------ Proving...
% 26.68/4.72
% 26.68/4.72
% 26.68/4.72 % SZS status Theorem for theBenchmark.p
% 26.68/4.72
% 26.68/4.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 26.68/4.72
% 26.68/4.72
%------------------------------------------------------------------------------