%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KLE010+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:52:08 PM UTC 2026
% Result : Theorem 8.43s 1.80s
% Output : CNFRefutation 8.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 25
% Syntax : Number of formulae : 218 ( 131 unt; 8 def)
% Number of atoms : 708 ( 207 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 259 ( 117 ~; 110 |; 22 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 182 ( 0 sgn 175 !; 7 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',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/Axioms/KLE001+0.ax',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/Axioms/KLE001+0.ax',left_distributivity) ).
fof(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(f13,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( addition(X0,X1) = one
& multiplication(X1,X0) = zero
& multiplication(X0,X1) = zero ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(f16,axiom,
! [X0] :
( ~ test(X0)
=> c(X0) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_4) ).
fof(f17,axiom,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+2.ax',test_deMorgan1) ).
fof(f18,axiom,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+2.ax',test_deMorgan2) ).
fof(f19,conjecture,
! [X0,X1] :
( ( test(X0)
& test(X1) )
=> one = addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1] :
( ( test(X0)
& test(X1) )
=> one = addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ~ test(X0)
| ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f22,plain,
! [X0] :
( test(X0)
| c(X0) = zero ),
inference(ennf_transformation,[],[f16]) ).
fof(f23,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f24,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f26,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
? [X0,X1] :
( test(X0)
& test(X1)
& one != addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))) ),
inference(ennf_transformation,[],[f20]) ).
fof(f28,plain,
? [X0,X1] :
( test(X0)
& test(X1)
& one != addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0] :
( ( ~ test(X0)
| ? [X1] : complement(X1,X0) )
& ( ! [X1] : ~ complement(X1,X0)
| test(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f30,plain,
! [X0] :
( ( ~ test(X0)
| ? [X2] : complement(X2,X0) )
& ( ! [X1] : ~ complement(X1,X0)
| test(X0) ) ),
inference(rectify,[],[f29]) ).
fof(f31,plain,
! [X0] :
( ( ~ test(X0)
| complement(sK0(X0),X0) )
& ( ! [X1] : ~ complement(X1,X0)
| test(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( ( ~ complement(X1,X0)
| ( addition(X0,X1) = one
& multiplication(X1,X0) = zero
& multiplication(X0,X1) = zero ) )
& ( addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f33,plain,
! [X0,X1] :
( ( ~ complement(X1,X0)
| ( addition(X0,X1) = one
& multiplication(X1,X0) = zero
& multiplication(X0,X1) = zero ) )
& ( addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0) ) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( ~ test(X0)
| ( ( c(X0) != X1
| complement(X0,X1) )
& ( ~ complement(X0,X1)
| c(X0) = X1 ) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f35,plain,
( test(sK1)
& test(sK2)
& one != addition(addition(addition(addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),multiplication(sK1,sK2)),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f28]) ).
fof(f36,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f37,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f38,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f40,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f41,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f42,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f43,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f44,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f45,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f46,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f47,plain,
! [X0] :
( ~ test(X0)
| complement(sK0(X0),X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f48,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f49,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f33]) ).
fof(f50,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f51,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f52,plain,
! [X0,X1] :
( addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f53,plain,
! [X0,X1] :
( ~ test(X0)
| c(X0) != X1
| complement(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f54,plain,
! [X0,X1] :
( ~ test(X0)
| ~ complement(X0,X1)
| c(X0) = X1 ),
inference(cnf_transformation,[],[f34]) ).
fof(f55,plain,
! [X0] :
( test(X0)
| zero = c(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f56,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f57,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f58,plain,
test(sK1),
inference(cnf_transformation,[],[f35]) ).
fof(f59,plain,
test(sK2),
inference(cnf_transformation,[],[f35]) ).
fof(f60,plain,
one != addition(addition(addition(addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),multiplication(sK1,sK2)),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))),
inference(cnf_transformation,[],[f35]) ).
fof(f61,plain,
! [X0] :
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(equality_resolution,[],[f53]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f36]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] : addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f37]) ).
tcf(c_51,plain,
! [X0: $i] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f38]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] : multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f40]) ).
tcf(c_54,plain,
! [X0: $i] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f41]) ).
tcf(c_55,plain,
! [X0: $i] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f42]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f43]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] : addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f44]) ).
tcf(c_58,plain,
! [X0: $i] : multiplication(X0,zero) = zero,
inference(cnf_transformation,[],[f45]) ).
tcf(c_59,plain,
! [X0: $i] : multiplication(zero,X0) = zero,
inference(cnf_transformation,[],[f46]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( test(X1)
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_61,plain,
! [X0: $i] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( complement(X1,X0)
| ( multiplication(X1,X0) != zero )
| ( multiplication(X0,X1) != zero )
| ( addition(X0,X1) != one ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( ( multiplication(X1,X0) = zero )
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( ( multiplication(X0,X1) = zero )
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( ( addition(X1,X0) = one )
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ( c(X0) = X1 )
| ~ test(X0)
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_67,plain,
! [X0: $i] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_68,plain,
! [X0: $i] :
( test(X0)
| ( c(X0) = zero ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( ( multiplication(c(X0),c(X1)) = c(addition(X0,X1)) )
| ~ test(X1)
| ~ test(X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( ( addition(c(X0),c(X1)) = c(multiplication(X0,X1)) )
| ~ test(X1)
| ~ test(X0) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_71,negated_conjecture,
addition(addition(addition(addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),multiplication(sK1,sK2)),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))) != one,
inference(cnf_transformation,[],[f60]) ).
tcf(c_72,negated_conjecture,
test(sK2),
inference(cnf_transformation,[],[f59]) ).
tcf(c_73,negated_conjecture,
test(sK1),
inference(cnf_transformation,[],[f58]) ).
tcf(c_92,negated_conjecture,
addition(multiplication(sK2,sK1),addition(multiplication(sK1,sK2),addition(multiplication(c(sK2),sK1),addition(multiplication(c(sK1),sK2),multiplication(c(sK1),c(sK2)))))) != one,
inference(theory_normalisation,[status(thm)],[c_71,c_50,c_49]) ).
tcf(c_227,plain,
addition(multiplication(sK2,sK1),addition(multiplication(sK1,sK2),addition(multiplication(c(sK2),sK1),multiplication(c(sK1),addition(c(sK2),sK2))))) != one,
inference(ac_demodulation,[status(thm)],[c_92,c_56,c_50,c_49]) ).
tcf(c_228,plain,
addition(multiplication(sK1,sK2),addition(multiplication(c(sK1),addition(c(sK2),sK2)),multiplication(addition(c(sK2),sK2),sK1))) != one,
inference(ac_demodulation,[status(thm)],[c_227,c_57,c_50,c_49]) ).
tcf(c_229,plain,
addition(multiplication(sK1,sK2),addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(c(sK1),addition(sK2,c(sK2))))) != one,
inference(theory_normalisation,[status(thm)],[c_228,c_50,c_49]) ).
tcf(c_382,definition,
iPr_def_10 = multiplication(sK1,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_383,definition,
iPr_def_11 = c(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_384,definition,
iPr_def_12 = addition(sK2,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_385,definition,
iPr_def_13 = multiplication(iPr_def_12,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_386,definition,
iPr_def_14 = c(sK1),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_387,definition,
iPr_def_15 = multiplication(iPr_def_14,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_388,definition,
iPr_def_16 = addition(iPr_def_13,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_389,definition,
iPr_def_17 = addition(iPr_def_10,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_390,plain,
iPr_def_17 != one,
inference(demodulation,[status(thm)],[c_229,c_386,c_387,c_383,c_384,c_385,c_388,c_382,c_389]) ).
tcf(c_391,negated_conjecture,
test(sK1),
inference(demodulation,[status(thm)],[c_73]) ).
tcf(c_392,negated_conjecture,
test(sK2),
inference(demodulation,[status(thm)],[c_72]) ).
tcf(c_684,plain,
addition(iPr_def_11,sK2) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_384,c_50,c_49]) ).
tcf(c_694,plain,
( complement(sK2,iPr_def_11)
| ~ test(sK2) ),
inference(superposition,[status(thm)],[c_383,c_67]) ).
tcf(c_695,plain,
( complement(sK1,iPr_def_14)
| ~ test(sK1) ),
inference(superposition,[status(thm)],[c_386,c_67]) ).
tcf(c_696,plain,
! [X0: $i] :
( test(c(X0))
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_67,c_60]) ).
tcf(c_699,plain,
complement(sK1,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_695,c_391]) ).
tcf(c_700,plain,
complement(sK2,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_694,c_392]) ).
tcf(c_701,plain,
test(iPr_def_14),
inference(superposition,[status(thm)],[c_699,c_60]) ).
tcf(c_702,plain,
test(iPr_def_11),
inference(superposition,[status(thm)],[c_700,c_60]) ).
tcf(c_735,plain,
! [X0: $i] : addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
tcf(c_743,plain,
! [X0: $i] :
( ( multiplication(X0,sK0(X0)) = zero )
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_61,c_63]) ).
tcf(c_745,plain,
multiplication(iPr_def_11,sK2) = zero,
inference(superposition,[status(thm)],[c_700,c_63]) ).
tcf(c_746,plain,
multiplication(iPr_def_14,sK1) = zero,
inference(superposition,[status(thm)],[c_699,c_63]) ).
tcf(c_755,plain,
! [X0: $i] :
( ( multiplication(sK0(X0),X0) = zero )
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_61,c_64]) ).
tcf(c_757,plain,
multiplication(sK2,iPr_def_11) = zero,
inference(superposition,[status(thm)],[c_700,c_64]) ).
tcf(c_758,plain,
multiplication(sK1,iPr_def_14) = zero,
inference(superposition,[status(thm)],[c_699,c_64]) ).
tcf(c_777,plain,
! [X0: $i] :
( ( addition(X0,sK0(X0)) = one )
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_61,c_65]) ).
tcf(c_779,plain,
addition(iPr_def_11,sK2) = one,
inference(superposition,[status(thm)],[c_700,c_65]) ).
tcf(c_780,plain,
addition(iPr_def_14,sK1) = one,
inference(superposition,[status(thm)],[c_699,c_65]) ).
tcf(c_781,plain,
one = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_779,c_684]) ).
tcf(c_788,plain,
! [X0: $i] : multiplication(iPr_def_12,X0) = X0,
inference(demodulation,[status(thm)],[c_55,c_781]) ).
tcf(c_789,plain,
! [X0: $i] : multiplication(X0,iPr_def_12) = X0,
inference(demodulation,[status(thm)],[c_54,c_781]) ).
tcf(c_790,plain,
iPr_def_12 != iPr_def_17,
inference(demodulation,[status(thm)],[c_390,c_781]) ).
tcf(c_791,plain,
iPr_def_14 = iPr_def_15,
inference(demodulation,[status(thm)],[c_387,c_789]) ).
tcf(c_792,plain,
addition(iPr_def_13,iPr_def_14) = iPr_def_16,
inference(demodulation,[status(thm)],[c_388,c_791]) ).
tcf(c_793,plain,
sK1 = iPr_def_13,
inference(demodulation,[status(thm)],[c_385,c_788]) ).
tcf(c_794,plain,
multiplication(iPr_def_13,iPr_def_14) = zero,
inference(demodulation,[status(thm)],[c_758,c_793]) ).
tcf(c_795,plain,
multiplication(iPr_def_14,iPr_def_13) = zero,
inference(demodulation,[status(thm)],[c_746,c_793]) ).
tcf(c_797,plain,
multiplication(iPr_def_13,sK2) = iPr_def_10,
inference(demodulation,[status(thm)],[c_382,c_793]) ).
tcf(c_798,plain,
c(iPr_def_13) = iPr_def_14,
inference(demodulation,[status(thm)],[c_386,c_793]) ).
tcf(c_799,plain,
test(iPr_def_13),
inference(demodulation,[status(thm)],[c_391,c_793]) ).
tcf(c_800,plain,
multiplication(sK2,iPr_def_11) = multiplication(iPr_def_14,iPr_def_13),
inference(demodulation,[status(thm)],[c_757,c_795]) ).
tcf(c_801,plain,
multiplication(iPr_def_11,sK2) = multiplication(iPr_def_14,iPr_def_13),
inference(demodulation,[status(thm)],[c_745,c_795]) ).
tcf(c_802,plain,
! [X0: $i] : addition(multiplication(iPr_def_14,iPr_def_13),X0) = X0,
inference(demodulation,[status(thm)],[c_735,c_795]) ).
tcf(c_805,plain,
! [X0: $i] :
( test(X0)
| ( multiplication(iPr_def_14,iPr_def_13) = c(X0) ) ),
inference(demodulation,[status(thm)],[c_68,c_795]) ).
tcf(c_806,plain,
! [X0: $i] : multiplication(multiplication(iPr_def_14,iPr_def_13),X0) = multiplication(iPr_def_14,iPr_def_13),
inference(demodulation,[status(thm)],[c_59,c_795]) ).
tcf(c_807,plain,
! [X0: $i] : multiplication(X0,multiplication(iPr_def_14,iPr_def_13)) = multiplication(iPr_def_14,iPr_def_13),
inference(demodulation,[status(thm)],[c_58,c_795]) ).
tcf(c_828,plain,
addition(iPr_def_14,iPr_def_13) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_780,c_781,c_793]) ).
tcf(c_829,plain,
iPr_def_12 = iPr_def_16,
inference(demodulation,[status(thm)],[c_828,c_49,c_792]) ).
tcf(c_830,plain,
addition(iPr_def_10,iPr_def_12) = iPr_def_17,
inference(demodulation,[status(thm)],[c_389,c_829]) ).
tcf(c_831,plain,
multiplication(iPr_def_13,iPr_def_14) = multiplication(iPr_def_14,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_795,c_794]) ).
tcf(c_898,plain,
! [X0: $i] : multiplication(multiplication(iPr_def_13,iPr_def_14),X0) = multiplication(iPr_def_14,multiplication(iPr_def_13,X0)),
inference(superposition,[status(thm)],[c_831,c_53]) ).
tcf(c_954,plain,
multiplication(sK2,iPr_def_11) = multiplication(iPr_def_13,iPr_def_14),
inference(light_normalisation,[status(thm)],[c_800,c_831]) ).
tcf(c_958,plain,
multiplication(iPr_def_11,sK2) = multiplication(iPr_def_13,iPr_def_14),
inference(light_normalisation,[status(thm)],[c_801,c_831]) ).
tcf(c_980,plain,
! [X0: $i] : addition(multiplication(iPr_def_13,iPr_def_14),X0) = X0,
inference(light_normalisation,[status(thm)],[c_802,c_831]) ).
tcf(c_989,plain,
! [X0: $i] : addition(X0,multiplication(iPr_def_13,iPr_def_14)) = X0,
inference(superposition,[status(thm)],[c_980,c_49]) ).
tcf(c_1001,plain,
! [X0: $i] :
( test(X0)
| ( multiplication(iPr_def_13,iPr_def_14) = c(X0) ) ),
inference(light_normalisation,[status(thm)],[c_805,c_831]) ).
tcf(c_1044,plain,
! [X0: $i] :
( ( multiplication(c(iPr_def_14),c(X0)) = c(addition(iPr_def_14,X0)) )
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_701,c_69]) ).
tcf(c_1046,plain,
! [X0: $i] :
( ( multiplication(c(iPr_def_13),c(X0)) = c(addition(iPr_def_13,X0)) )
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_799,c_69]) ).
tcf(c_1047,plain,
! [X0: $i] :
( ( multiplication(iPr_def_14,c(X0)) = c(addition(iPr_def_13,X0)) )
| ~ test(X0) ),
inference(light_normalisation,[status(thm)],[c_1046,c_798]) ).
tcf(c_1087,plain,
! [X0: $i] :
( ( addition(c(iPr_def_13),c(X0)) = c(multiplication(iPr_def_13,X0)) )
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_799,c_70]) ).
tcf(c_1088,plain,
! [X0: $i] :
( ( addition(iPr_def_14,c(X0)) = c(multiplication(iPr_def_13,X0)) )
| ~ test(X0) ),
inference(light_normalisation,[status(thm)],[c_1087,c_798]) ).
tcf(c_1113,plain,
! [X0: $i,X1: $i] :
( complement(X1,X0)
| ( multiplication(X1,X0) != multiplication(iPr_def_13,iPr_def_14) )
| ( multiplication(X0,X1) != multiplication(iPr_def_13,iPr_def_14) )
| ( addition(X0,X1) != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_62,c_781,c_794]) ).
tcf(c_1130,plain,
( complement(iPr_def_11,sK2)
| ( multiplication(iPr_def_11,sK2) != multiplication(iPr_def_13,iPr_def_14) )
| ( addition(sK2,iPr_def_11) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_954,c_1113]) ).
tcf(c_1134,plain,
( complement(iPr_def_14,iPr_def_13)
| ( multiplication(iPr_def_13,iPr_def_14) != multiplication(iPr_def_14,iPr_def_13) )
| ( addition(iPr_def_13,iPr_def_14) != iPr_def_12 ) ),
inference(equality_resolution,[status(thm)],[c_1113]) ).
tcf(c_1135,plain,
complement(iPr_def_14,iPr_def_13),
inference(ground_joinability,[status(thm)],[c_1134,c_792,c_829,c_831]) ).
tcf(c_1137,plain,
( complement(iPr_def_11,sK2)
| ( multiplication(iPr_def_11,sK2) != multiplication(iPr_def_13,iPr_def_14) )
| ( addition(iPr_def_11,sK2) != iPr_def_12 ) ),
inference(theory_normalisation,[status(thm)],[c_1130,c_50,c_49]) ).
tcf(c_1138,plain,
complement(iPr_def_11,sK2),
inference(ground_joinability,[status(thm)],[c_1137,c_684,c_958]) ).
tcf(c_1180,plain,
( ( c(iPr_def_14) = iPr_def_13 )
| ~ test(iPr_def_14) ),
inference(superposition,[status(thm)],[c_1135,c_66]) ).
tcf(c_1182,plain,
c(iPr_def_14) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_1180,c_701]) ).
tcf(c_1183,plain,
( ( c(iPr_def_11) = sK2 )
| ~ test(iPr_def_11) ),
inference(superposition,[status(thm)],[c_1138,c_66]) ).
tcf(c_1185,plain,
c(iPr_def_11) = sK2,
inference(forward_subsumption_resolution,[status(thm)],[c_1183,c_702]) ).
tcf(c_1192,plain,
c(c(iPr_def_11)) = iPr_def_11,
inference(demodulation,[status(thm)],[c_383,c_1185]) ).
tcf(c_1193,plain,
test(c(iPr_def_11)),
inference(demodulation,[status(thm)],[c_392,c_1185]) ).
tcf(c_1226,plain,
multiplication(iPr_def_14,c(iPr_def_14)) = c(addition(iPr_def_13,iPr_def_14)),
inference(superposition,[status(thm)],[c_701,c_1047]) ).
tcf(c_1232,plain,
multiplication(iPr_def_13,iPr_def_14) = c(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_1226,c_792,c_829,c_831,c_1182]) ).
tcf(c_1296,plain,
addition(iPr_def_13,iPr_def_14) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_792,c_829]) ).
tcf(c_1307,plain,
multiplication(iPr_def_13,c(iPr_def_11)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_797,c_1185]) ).
tcf(c_1380,plain,
( test(multiplication(iPr_def_13,iPr_def_14))
| ~ test(iPr_def_12) ),
inference(superposition,[status(thm)],[c_1232,c_696]) ).
tcf(c_1416,plain,
addition(iPr_def_14,c(iPr_def_14)) = c(multiplication(iPr_def_13,iPr_def_14)),
inference(superposition,[status(thm)],[c_701,c_1088]) ).
tcf(c_1419,plain,
addition(iPr_def_14,c(c(iPr_def_11))) = c(multiplication(iPr_def_13,c(iPr_def_11))),
inference(superposition,[status(thm)],[c_1193,c_1088]) ).
tcf(c_1422,plain,
c(multiplication(iPr_def_13,iPr_def_14)) = addition(iPr_def_14,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_1416,c_1182]) ).
tcf(c_1423,plain,
c(multiplication(iPr_def_13,iPr_def_14)) = addition(iPr_def_13,iPr_def_14),
inference(theory_normalisation,[status(thm)],[c_1422,c_50,c_49]) ).
tcf(c_1424,plain,
c(multiplication(iPr_def_13,iPr_def_14)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_1423,c_1296]) ).
tcf(c_1425,plain,
addition(iPr_def_14,iPr_def_11) = c(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_1419,c_1192,c_1307]) ).
tcf(c_1426,plain,
addition(iPr_def_11,iPr_def_14) = c(iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_1425,c_50,c_49]) ).
tcf(c_1482,plain,
! [X0: $i] :
( ( multiplication(iPr_def_13,c(X0)) = c(addition(iPr_def_14,X0)) )
| ~ test(X0) ),
inference(light_normalisation,[status(thm)],[c_1044,c_1182]) ).
tcf(c_1492,plain,
multiplication(iPr_def_13,c(iPr_def_11)) = c(addition(iPr_def_14,iPr_def_11)),
inference(superposition,[status(thm)],[c_702,c_1482]) ).
tcf(c_1498,plain,
multiplication(iPr_def_13,c(iPr_def_11)) = c(addition(iPr_def_11,iPr_def_14)),
inference(theory_normalisation,[status(thm)],[c_1492,c_50,c_49]) ).
tcf(c_1499,plain,
c(addition(iPr_def_11,iPr_def_14)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1498,c_1307]) ).
tcf(c_1680,plain,
( test(addition(iPr_def_11,iPr_def_14))
| ~ test(iPr_def_10) ),
inference(superposition,[status(thm)],[c_1426,c_696]) ).
tcf(c_1686,plain,
( test(iPr_def_10)
| ~ test(addition(iPr_def_11,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_1499,c_696]) ).
tcf(c_1940,plain,
! [X0: $i] :
( ( multiplication(X0,sK0(X0)) = multiplication(iPr_def_13,iPr_def_14) )
| ~ test(X0) ),
inference(light_normalisation,[status(thm)],[c_743,c_794]) ).
tcf(c_1951,plain,
multiplication(iPr_def_13,sK0(iPr_def_13)) = multiplication(iPr_def_13,iPr_def_14),
inference(superposition,[status(thm)],[c_799,c_1940]) ).
tcf(c_2093,plain,
( test(iPr_def_10)
| ( c(addition(iPr_def_11,iPr_def_14)) = multiplication(iPr_def_13,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_1001,c_1686]) ).
tcf(c_2095,plain,
( test(iPr_def_10)
| ( multiplication(iPr_def_13,iPr_def_14) = iPr_def_10 ) ),
inference(light_normalisation,[status(thm)],[c_2093,c_1499]) ).
tcf(c_2099,plain,
! [X0: $i] : multiplication(iPr_def_13,multiplication(sK0(iPr_def_13),X0)) = multiplication(multiplication(iPr_def_13,iPr_def_14),X0),
inference(superposition,[status(thm)],[c_1951,c_53]) ).
tcf(c_2100,plain,
! [X0: $i] : multiplication(iPr_def_13,multiplication(sK0(iPr_def_13),X0)) = multiplication(iPr_def_14,multiplication(iPr_def_13,X0)),
inference(light_normalisation,[status(thm)],[c_2099,c_898]) ).
tcf(c_2187,plain,
! [X0: $i] :
( ( multiplication(sK0(X0),X0) = multiplication(iPr_def_13,iPr_def_14) )
| ~ test(X0) ),
inference(light_normalisation,[status(thm)],[c_755,c_794]) ).
tcf(c_2198,plain,
multiplication(sK0(iPr_def_13),iPr_def_13) = multiplication(iPr_def_13,iPr_def_14),
inference(superposition,[status(thm)],[c_799,c_2187]) ).
tcf(c_2263,plain,
! [X0: $i] :
( ( addition(X0,sK0(X0)) = iPr_def_12 )
| ~ test(X0) ),
inference(light_normalisation,[status(thm)],[c_777,c_781]) ).
tcf(c_2274,plain,
addition(iPr_def_13,sK0(iPr_def_13)) = iPr_def_12,
inference(superposition,[status(thm)],[c_799,c_2263]) ).
tcf(c_2374,plain,
( complement(iPr_def_13,sK0(iPr_def_13))
| ( multiplication(iPr_def_13,sK0(iPr_def_13)) != multiplication(iPr_def_13,iPr_def_14) )
| ( addition(sK0(iPr_def_13),iPr_def_13) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_2198,c_1113]) ).
tcf(c_2377,plain,
( complement(iPr_def_13,sK0(iPr_def_13))
| ( multiplication(iPr_def_13,sK0(iPr_def_13)) != multiplication(iPr_def_13,iPr_def_14) )
| ( addition(iPr_def_13,sK0(iPr_def_13)) != iPr_def_12 ) ),
inference(theory_normalisation,[status(thm)],[c_2374,c_50,c_49]) ).
tcf(c_2378,plain,
complement(iPr_def_13,sK0(iPr_def_13)),
inference(ground_joinability,[status(thm)],[c_2377,c_1951,c_2274]) ).
tcf(c_2425,plain,
( ( sK0(iPr_def_13) = c(iPr_def_13) )
| ~ test(iPr_def_13) ),
inference(superposition,[status(thm)],[c_2378,c_66]) ).
tcf(c_2427,plain,
( ( sK0(iPr_def_13) = iPr_def_14 )
| ~ test(iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_2425,c_798]) ).
tcf(c_2428,plain,
sK0(iPr_def_13) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_2427,c_799]) ).
tcf(c_2606,plain,
! [X0: $i] : multiplication(iPr_def_14,multiplication(iPr_def_13,X0)) = multiplication(iPr_def_13,iPr_def_14),
inference(light_normalisation,[status(thm)],[c_806,c_831,c_898]) ).
tcf(c_2609,plain,
multiplication(iPr_def_13,iPr_def_14) = multiplication(iPr_def_14,iPr_def_10),
inference(superposition,[status(thm)],[c_1307,c_2606]) ).
tcf(c_2786,plain,
! [X0: $i] : multiplication(multiplication(iPr_def_13,iPr_def_14),X0) = multiplication(iPr_def_14,multiplication(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_2609,c_53]) ).
tcf(c_2796,plain,
! [X0: $i] : multiplication(X0,multiplication(iPr_def_13,iPr_def_14)) = multiplication(iPr_def_13,iPr_def_14),
inference(light_normalisation,[status(thm)],[c_807,c_831]) ).
tcf(c_2799,plain,
! [X0: $i] :
( complement(multiplication(iPr_def_13,iPr_def_14),X0)
| ( multiplication(multiplication(iPr_def_13,iPr_def_14),X0) != multiplication(iPr_def_13,iPr_def_14) )
| ( addition(X0,multiplication(iPr_def_13,iPr_def_14)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_2796,c_1113]) ).
tcf(c_2808,plain,
! [X0: $i] :
( complement(multiplication(iPr_def_13,iPr_def_14),X0)
| ( addition(X0,multiplication(iPr_def_13,iPr_def_14)) != iPr_def_12 ) ),
inference(ground_joinability,[status(thm)],[c_2799,c_898,c_2606]) ).
tcf(c_2809,plain,
! [X0: $i] :
( complement(multiplication(iPr_def_13,iPr_def_14),X0)
| ( X0 != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_2808,c_989]) ).
tcf(c_3543,plain,
! [X0: $i] : multiplication(iPr_def_13,multiplication(iPr_def_14,X0)) = multiplication(iPr_def_13,iPr_def_14),
inference(light_normalisation,[status(thm)],[c_2100,c_2428,c_2606]) ).
tcf(c_3552,plain,
! [X0: $i,X1: $i] : multiplication(iPr_def_13,multiplication(multiplication(iPr_def_14,X0),X1)) = multiplication(multiplication(iPr_def_13,iPr_def_14),X1),
inference(superposition,[status(thm)],[c_3543,c_53]) ).
tcf(c_3876,plain,
! [X0: $i] : multiplication(iPr_def_14,multiplication(iPr_def_10,X0)) = multiplication(iPr_def_13,iPr_def_14),
inference(demodulation,[status(thm)],[c_3552,c_53,c_2786,c_3543]) ).
tcf(c_5789,plain,
complement(multiplication(iPr_def_13,iPr_def_14),iPr_def_12),
inference(equality_resolution,[status(thm)],[c_2809]) ).
tcf(c_5794,plain,
test(iPr_def_12),
inference(superposition,[status(thm)],[c_5789,c_60]) ).
tcf(c_5796,plain,
test(multiplication(iPr_def_13,iPr_def_14)),
inference(backward_subsumption_resolution,[status(thm)],[c_1380,c_5794]) ).
tcf(c_6099,plain,
! [X0: $i] :
( ( addition(c(multiplication(iPr_def_13,iPr_def_14)),c(X0)) = c(multiplication(multiplication(iPr_def_13,iPr_def_14),X0)) )
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_5796,c_70]) ).
tcf(c_6126,plain,
! [X0: $i] :
( ( addition(iPr_def_12,c(X0)) = iPr_def_12 )
| ~ test(X0) ),
inference(light_normalisation,[status(thm)],[c_6099,c_1424,c_2786,c_3876]) ).
tcf(c_6250,plain,
( ( addition(iPr_def_12,c(addition(iPr_def_11,iPr_def_14))) = iPr_def_12 )
| ~ test(iPr_def_10) ),
inference(superposition,[status(thm)],[c_1680,c_6126]) ).
tcf(c_6260,plain,
( ( addition(iPr_def_12,iPr_def_10) = iPr_def_12 )
| ~ test(iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_6250,c_1499]) ).
tcf(c_6261,plain,
( ( addition(iPr_def_10,iPr_def_12) = iPr_def_12 )
| ~ test(iPr_def_10) ),
inference(theory_normalisation,[status(thm)],[c_6260,c_50,c_49]) ).
tcf(c_6262,plain,
( ( iPr_def_12 = iPr_def_17 )
| ~ test(iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_6261,c_830]) ).
tcf(c_6263,plain,
~ test(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_6262,c_790]) ).
tcf(c_6274,plain,
multiplication(iPr_def_13,iPr_def_14) = iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_2095,c_6263]) ).
tcf(c_6308,plain,
! [X0: $i] : addition(iPr_def_10,X0) = X0,
inference(demodulation,[status(thm)],[c_980,c_6274]) ).
tcf(c_6311,plain,
iPr_def_12 = iPr_def_17,
inference(demodulation,[status(thm)],[c_830,c_6308]) ).
tcf(c_6324,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6311,c_790]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE010+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 18:34:58 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 8.43/1.80 % SZS status Started for theBenchmark.p
% 8.43/1.80 % SZS status Theorem for theBenchmark.p
% 8.43/1.80
% 8.43/1.80 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.43/1.80
% 8.43/1.80 % ------ iProver source info
% 8.43/1.80
% 8.43/1.80 % git: date: 2026-07-19 20:42:38 +0200
% 8.43/1.80 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.43/1.80 % git: non_committed_changes: false
% 8.43/1.80
% 8.43/1.80 % ------ Parsing...
% 8.43/1.80 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.43/1.80
% 8.43/1.80 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 8.43/1.80
% 8.43/1.80 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.43/1.80
% 8.43/1.80 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.43/1.80 % ------ Proving...
% 8.43/1.80 % ------ Problem Properties
% 8.43/1.80
% 8.43/1.80 %
% 8.43/1.80 % clauses 33
% 8.43/1.80 % conjectures 2
% 8.43/1.80 % EPR 4
% 8.43/1.80 % Horn 32
% 8.43/1.80 % unary 22
% 8.43/1.80 % binary 7
% 8.43/1.80 % lits 49
% 8.43/1.80 % lits eq 30
% 8.43/1.80 % fd_pure 0
% 8.43/1.80 % fd_pseudo 0
% 8.43/1.80 % fd_cond 0
% 8.43/1.80 % fd_pseudo_cond 1
% 8.43/1.80 % AC symbols 1
% 8.43/1.80
% 8.43/1.80 % ------ Schedule dynamic 5 is on
% 8.43/1.80
% 8.43/1.80 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.43/1.80
% 8.43/1.80
% 8.43/1.80 % ------
% 8.43/1.80 % Current options:
% 8.43/1.80 % ------
% 8.43/1.80
% 8.43/1.80
% 8.43/1.80 %
% 8.43/1.80
% 8.43/1.80 % ------ Proving...
% 8.43/1.80 %
% 8.43/1.80
% 8.43/1.80 % SZS status Theorem for theBenchmark.p
% 8.43/1.80
% 8.43/1.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.43/1.81
% 8.43/1.81
%------------------------------------------------------------------------------