%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KLE019+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n004.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 01:52:10 PM UTC 2026
% Result : Theorem 10.41s 2.80s
% Output : CNFRefutation 14.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 19
% Syntax : Number of formulae : 226 ( 171 unt; 5 def)
% Number of atoms : 483 ( 216 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 186 ( 79 ~; 68 |; 29 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 198 ( 0 sgn 189 !; 9 ?; 104 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).
fof(f13,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( ( test(X2)
& test(X1)
& test(X0) )
=> ( leq(X0,addition(X1,X2))
=> leq(multiplication(X0,c(X1)),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( ( test(X2)
& test(X1)
& test(X0) )
=> ( leq(X0,addition(X1,X2))
=> leq(multiplication(X0,c(X1)),X2) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ~ test(X0)
| ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
? [X0,X1,X2] :
( test(X2)
& test(X1)
& test(X0)
& leq(X0,addition(X1,X2))
& ~ leq(multiplication(X0,c(X1)),X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1,X2] :
( test(X2)
& test(X1)
& test(X0)
& leq(X0,addition(X1,X2))
& ~ leq(multiplication(X0,c(X1)),X2) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ( ~ leq(X0,X1)
| addition(X0,X1) = X1 )
& ( addition(X0,X1) != X1
| leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f24,plain,
! [X0] :
( ( ~ test(X0)
| ? [X1] : complement(X1,X0) )
& ( ! [X1] : ~ complement(X1,X0)
| test(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f25,plain,
! [X0] :
( ( ~ test(X0)
| ? [X2] : complement(X2,X0) )
& ( ! [X1] : ~ complement(X1,X0)
| test(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f26,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))],[f25]) ).
fof(f27,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(f28,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,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ~ test(X0)
| ( ( c(X0) != X1
| complement(X0,X1) )
& ( ~ complement(X0,X1)
| c(X0) = X1 ) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f30,plain,
( test(sK3)
& test(sK2)
& test(sK1)
& leq(sK1,addition(sK2,sK3))
& ~ leq(multiplication(sK1,c(sK2)),sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f22]) ).
fof(f31,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f32,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f33,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f34,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f35,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f36,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f39,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f42,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f43,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
! [X0] :
( ~ test(X0)
| complement(sK0(X0),X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f45,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f46,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f28]) ).
fof(f47,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f48,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f49,plain,
! [X0,X1] :
( addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
! [X0,X1] :
( ~ test(X0)
| c(X0) != X1
| complement(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
! [X0,X1] :
( ~ test(X0)
| ~ complement(X0,X1)
| c(X0) = X1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
test(sK3),
inference(cnf_transformation,[],[f30]) ).
fof(f54,plain,
test(sK2),
inference(cnf_transformation,[],[f30]) ).
fof(f55,plain,
test(sK1),
inference(cnf_transformation,[],[f30]) ).
fof(f56,plain,
leq(sK1,addition(sK2,sK3)),
inference(cnf_transformation,[],[f30]) ).
fof(f57,plain,
~ leq(multiplication(sK1,c(sK2)),sK3),
inference(cnf_transformation,[],[f30]) ).
fof(f58,plain,
! [X0] :
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(equality_resolution,[],[f50]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f31]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] : addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f32]) ).
tcf(c_51,plain,
! [X0: $i] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f33]) ).
tcf(c_52,plain,
! [X0: $i] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f34]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] : multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f35]) ).
tcf(c_54,plain,
! [X0: $i] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f36]) ).
tcf(c_55,plain,
! [X0: $i] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f37]) ).
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,[],[f38]) ).
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,[],[f39]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( addition(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( ( addition(X0,X1) = X1 )
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( test(X1)
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_63,plain,
! [X0: $i] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( complement(X1,X0)
| ( multiplication(X1,X0) != zero )
| ( multiplication(X0,X1) != zero )
| ( addition(X0,X1) != one ) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( ( multiplication(X1,X0) = zero )
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ( multiplication(X0,X1) = zero )
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( ( addition(X1,X0) = one )
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( ( c(X0) = X1 )
| ~ test(X0)
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_69,plain,
! [X0: $i] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_71,negated_conjecture,
~ leq(multiplication(sK1,c(sK2)),sK3),
inference(cnf_transformation,[],[f57]) ).
tcf(c_72,negated_conjecture,
leq(sK1,addition(sK2,sK3)),
inference(cnf_transformation,[],[f56]) ).
tcf(c_73,negated_conjecture,
test(sK1),
inference(cnf_transformation,[],[f55]) ).
tcf(c_74,negated_conjecture,
test(sK2),
inference(cnf_transformation,[],[f54]) ).
tcf(c_75,negated_conjecture,
test(sK3),
inference(cnf_transformation,[],[f53]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( ( addition(X0,X1) != X1 )
| leq(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_60]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( addition(X0,X1) != X1 ) ),
inference(renaming,[status(thm)],[c_93]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( ( addition(X0,X1) = X1 )
| ~ leq(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
tcf(c_303,plain,
! [X0: $i,X1: $i] :
( ( X1 != sK3 )
| ( addition(X0,X1) != X1 )
| ( multiplication(sK1,c(sK2)) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_94,c_71]) ).
tcf(c_304,plain,
addition(multiplication(sK1,c(sK2)),sK3) != sK3,
inference(unflattening,[status(thm)],[c_303]) ).
tcf(c_308,plain,
! [X0: $i,X1: $i] :
( ( addition(X0,X1) = X1 )
| ( X0 != sK1 )
| ( addition(sK2,sK3) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_95,c_72]) ).
tcf(c_309,plain,
addition(sK1,addition(sK2,sK3)) = addition(sK2,sK3),
inference(unflattening,[status(thm)],[c_308]) ).
tcf(c_610,plain,
addition(sK3,multiplication(sK1,c(sK2))) != sK3,
inference(theory_normalisation,[status(thm)],[c_304,c_50,c_49]) ).
tcf(c_1009,definition,
iPr_def_10 = c(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1010,definition,
iPr_def_11 = multiplication(sK1,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1011,definition,
iPr_def_12 = addition(sK3,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1012,definition,
iPr_def_13 = addition(sK2,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1013,definition,
iPr_def_14 = addition(sK1,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1014,plain,
iPr_def_12 != sK3,
inference(demodulation,[status(thm)],[c_610,c_1009,c_1010,c_1011]) ).
tcf(c_1016,plain,
iPr_def_14 = iPr_def_13,
inference(demodulation,[status(thm)],[c_309,c_1013]) ).
tcf(c_1017,negated_conjecture,
test(sK3),
inference(demodulation,[status(thm)],[c_75]) ).
tcf(c_1018,negated_conjecture,
test(sK2),
inference(demodulation,[status(thm)],[c_74]) ).
tcf(c_1019,negated_conjecture,
test(sK1),
inference(demodulation,[status(thm)],[c_73]) ).
tcf(c_1291,plain,
! [X0: $i] : addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
tcf(c_1299,plain,
addition(iPr_def_11,sK3) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_1011,c_50,c_49]) ).
tcf(c_1300,plain,
addition(iPr_def_13,sK1) = iPr_def_14,
inference(theory_normalisation,[status(thm)],[c_1013,c_50,c_49]) ).
tcf(c_1301,plain,
addition(iPr_def_13,sK1) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_1300,c_1016]) ).
tcf(c_1315,plain,
( complement(sK2,iPr_def_10)
| ~ test(sK2) ),
inference(superposition,[status(thm)],[c_1009,c_69]) ).
tcf(c_1319,plain,
complement(sK2,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_1315,c_1018]) ).
tcf(c_1320,plain,
test(iPr_def_10),
inference(superposition,[status(thm)],[c_1319,c_62]) ).
tcf(c_1329,plain,
! [X0: $i,X1: $i] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_52,c_50]) ).
tcf(c_1349,plain,
! [X0: $i] :
( ( multiplication(X0,sK0(X0)) = zero )
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_63,c_65]) ).
tcf(c_1350,plain,
! [X0: $i] :
( ( multiplication(c(X0),X0) = zero )
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_69,c_65]) ).
tcf(c_1360,plain,
! [X0: $i] :
( ( multiplication(sK0(X0),X0) = zero )
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_63,c_66]) ).
tcf(c_1361,plain,
! [X0: $i] :
( ( multiplication(X0,c(X0)) = zero )
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_69,c_66]) ).
tcf(c_1362,plain,
multiplication(sK2,iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_1319,c_66]) ).
tcf(c_1371,plain,
! [X0: $i] :
( ( addition(X0,sK0(X0)) = one )
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_63,c_67]) ).
tcf(c_1372,plain,
! [X0: $i] :
( ( addition(c(X0),X0) = one )
| ~ test(X0) ),
inference(superposition,[status(thm)],[c_69,c_67]) ).
tcf(c_1373,plain,
addition(iPr_def_10,sK2) = one,
inference(superposition,[status(thm)],[c_1319,c_67]) ).
tcf(c_1374,plain,
! [X0: $i] :
( ( addition(X0,c(X0)) = one )
| ~ test(X0) ),
inference(theory_normalisation,[status(thm)],[c_1372,c_50,c_49]) ).
tcf(c_1380,plain,
! [X0: $i] : addition(iPr_def_10,addition(sK2,X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1373,c_50]) ).
tcf(c_1382,plain,
! [X0: $i] : addition(iPr_def_10,addition(X0,sK2)) = addition(one,X0),
inference(superposition,[status(thm)],[c_49,c_1380]) ).
tcf(c_1385,plain,
addition(one,sK2) = addition(iPr_def_10,sK2),
inference(superposition,[status(thm)],[c_52,c_1380]) ).
tcf(c_1386,plain,
addition(one,sK3) = addition(iPr_def_10,iPr_def_13),
inference(superposition,[status(thm)],[c_1012,c_1380]) ).
tcf(c_1388,plain,
addition(one,sK2) = one,
inference(light_normalisation,[status(thm)],[c_1385,c_1373]) ).
tcf(c_1393,plain,
! [X0: $i] : addition(one,addition(sK2,X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1388,c_50]) ).
tcf(c_1411,plain,
addition(one,one) = addition(iPr_def_10,one),
inference(superposition,[status(thm)],[c_1388,c_1382]) ).
tcf(c_1416,plain,
! [X0: $i] : addition(iPr_def_10,addition(X0,sK2)) = addition(X0,one),
inference(superposition,[status(thm)],[c_1382,c_49]) ).
tcf(c_1425,plain,
addition(iPr_def_10,one) = one,
inference(demodulation,[status(thm)],[c_1411,c_52]) ).
tcf(c_1431,plain,
addition(one,sK3) = addition(one,iPr_def_13),
inference(superposition,[status(thm)],[c_1012,c_1393]) ).
tcf(c_1433,plain,
addition(one,sK3) = addition(iPr_def_13,one),
inference(theory_normalisation,[status(thm)],[c_1431,c_50,c_49]) ).
tcf(c_1434,plain,
addition(iPr_def_10,iPr_def_13) = addition(iPr_def_13,one),
inference(light_normalisation,[status(thm)],[c_1433,c_1386]) ).
tcf(c_1451,plain,
! [X0: $i] : multiplication(sK1,multiplication(iPr_def_10,X0)) = multiplication(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_1010,c_53]) ).
tcf(c_1495,plain,
! [X0: $i] : addition(multiplication(X0,sK2),multiplication(X0,sK3)) = multiplication(X0,iPr_def_13),
inference(superposition,[status(thm)],[c_1012,c_56]) ).
tcf(c_1498,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_13),multiplication(X0,sK1)) = multiplication(X0,iPr_def_13),
inference(superposition,[status(thm)],[c_1301,c_56]) ).
tcf(c_1500,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_10),multiplication(X0,sK2)) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_1373,c_56]) ).
tcf(c_1503,plain,
! [X0: $i,X1: $i] : addition(multiplication(X0,iPr_def_10),multiplication(X0,addition(X1,sK2))) = multiplication(X0,addition(one,X1)),
inference(superposition,[status(thm)],[c_1382,c_56]) ).
tcf(c_1507,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_10),multiplication(X0,one)) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_1425,c_56]) ).
tcf(c_1508,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_13),multiplication(X0,one)) = multiplication(X0,addition(iPr_def_10,iPr_def_13)),
inference(superposition,[status(thm)],[c_1434,c_56]) ).
tcf(c_1516,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_10),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1507,c_54]) ).
tcf(c_1517,plain,
! [X0: $i] : addition(X0,multiplication(X0,iPr_def_10)) = X0,
inference(theory_normalisation,[status(thm)],[c_1516,c_50,c_49]) ).
tcf(c_1519,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_10),multiplication(X0,sK2)) = X0,
inference(light_normalisation,[status(thm)],[c_1500,c_54]) ).
tcf(c_1522,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_13),X0) = multiplication(X0,addition(iPr_def_10,iPr_def_13)),
inference(light_normalisation,[status(thm)],[c_1508,c_54]) ).
tcf(c_1523,plain,
! [X0: $i] : addition(X0,multiplication(X0,iPr_def_13)) = multiplication(X0,addition(iPr_def_10,iPr_def_13)),
inference(theory_normalisation,[status(thm)],[c_1522,c_50,c_49]) ).
tcf(c_1584,plain,
! [X0: $i] : addition(multiplication(iPr_def_10,X0),multiplication(one,X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_1425,c_57]) ).
tcf(c_1593,plain,
! [X0: $i] : addition(multiplication(iPr_def_10,X0),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1584,c_55]) ).
tcf(c_1594,plain,
! [X0: $i] : addition(X0,multiplication(iPr_def_10,X0)) = X0,
inference(theory_normalisation,[status(thm)],[c_1593,c_50,c_49]) ).
tcf(c_1788,plain,
addition(iPr_def_11,multiplication(sK1,sK2)) = sK1,
inference(superposition,[status(thm)],[c_1010,c_1519]) ).
tcf(c_2155,plain,
addition(sK1,iPr_def_11) = sK1,
inference(superposition,[status(thm)],[c_1010,c_1517]) ).
tcf(c_2169,plain,
addition(iPr_def_11,sK1) = sK1,
inference(theory_normalisation,[status(thm)],[c_2155,c_50,c_49]) ).
tcf(c_2213,plain,
! [X0: $i] : addition(multiplication(iPr_def_11,X0),multiplication(sK1,X0)) = multiplication(sK1,X0),
inference(superposition,[status(thm)],[c_2169,c_57]) ).
tcf(c_2283,plain,
! [X0: $i,X1: $i] : addition(X0,addition(multiplication(iPr_def_10,X0),X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_1594,c_50]) ).
tcf(c_3709,plain,
! [X0: $i,X1: $i] : addition(multiplication(X0,iPr_def_10),multiplication(X0,addition(X1,sK2))) = multiplication(X0,addition(X1,one)),
inference(superposition,[status(thm)],[c_1416,c_56]) ).
tcf(c_3922,plain,
multiplication(sK1,sK0(sK1)) = zero,
inference(superposition,[status(thm)],[c_1019,c_1349]) ).
tcf(c_3923,plain,
multiplication(sK2,sK0(sK2)) = zero,
inference(superposition,[status(thm)],[c_1018,c_1349]) ).
tcf(c_4035,plain,
multiplication(c(sK1),sK1) = zero,
inference(superposition,[status(thm)],[c_1019,c_1350]) ).
tcf(c_4378,plain,
multiplication(sK0(sK1),sK1) = zero,
inference(superposition,[status(thm)],[c_1019,c_1360]) ).
tcf(c_4379,plain,
multiplication(sK0(sK2),sK2) = zero,
inference(superposition,[status(thm)],[c_1018,c_1360]) ).
tcf(c_4400,plain,
addition(multiplication(sK0(sK2),iPr_def_10),zero) = sK0(sK2),
inference(superposition,[status(thm)],[c_4379,c_1519]) ).
tcf(c_4402,plain,
addition(zero,multiplication(sK0(sK2),iPr_def_10)) = sK0(sK2),
inference(theory_normalisation,[status(thm)],[c_4400,c_50,c_49]) ).
tcf(c_4496,plain,
multiplication(sK0(sK2),iPr_def_10) = sK0(sK2),
inference(demodulation,[status(thm)],[c_4402,c_1291]) ).
tcf(c_4805,plain,
multiplication(sK1,c(sK1)) = zero,
inference(superposition,[status(thm)],[c_1019,c_1361]) ).
tcf(c_4810,plain,
multiplication(iPr_def_10,c(iPr_def_10)) = zero,
inference(superposition,[status(thm)],[c_1320,c_1361]) ).
tcf(c_5143,plain,
addition(sK1,sK0(sK1)) = one,
inference(superposition,[status(thm)],[c_1019,c_1371]) ).
tcf(c_5144,plain,
addition(sK2,sK0(sK2)) = one,
inference(superposition,[status(thm)],[c_1018,c_1371]) ).
tcf(c_5145,plain,
addition(sK3,sK0(sK3)) = one,
inference(superposition,[status(thm)],[c_1017,c_1371]) ).
tcf(c_5219,plain,
addition(sK1,one) = one,
inference(superposition,[status(thm)],[c_5143,c_1329]) ).
tcf(c_5223,plain,
! [X0: $i] : addition(multiplication(X0,sK1),multiplication(X0,sK0(sK1))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_5143,c_56]) ).
tcf(c_5225,plain,
! [X0: $i] : addition(multiplication(sK1,X0),multiplication(sK0(sK1),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_5143,c_57]) ).
tcf(c_5227,plain,
addition(one,sK1) = one,
inference(theory_normalisation,[status(thm)],[c_5219,c_50,c_49]) ).
tcf(c_5229,plain,
! [X0: $i] : addition(multiplication(sK1,X0),multiplication(sK0(sK1),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_5225,c_55]) ).
tcf(c_5230,plain,
! [X0: $i] : addition(multiplication(X0,sK1),multiplication(X0,sK0(sK1))) = X0,
inference(light_normalisation,[status(thm)],[c_5223,c_54]) ).
tcf(c_5281,plain,
! [X0: $i] : addition(multiplication(one,X0),multiplication(sK1,X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_5227,c_57]) ).
tcf(c_5285,plain,
! [X0: $i] : addition(X0,multiplication(sK1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_5281,c_55]) ).
tcf(c_5337,plain,
( complement(sK0(sK2),sK2)
| ( multiplication(sK2,sK0(sK2)) != zero )
| ( multiplication(sK0(sK2),sK2) != zero ) ),
inference(superposition,[status(thm)],[c_5144,c_64]) ).
tcf(c_5342,plain,
! [X0: $i] : addition(multiplication(sK2,X0),multiplication(sK0(sK2),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_5144,c_57]) ).
tcf(c_5351,plain,
! [X0: $i] : addition(multiplication(sK2,X0),multiplication(sK0(sK2),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_5342,c_55]) ).
tcf(c_5353,plain,
complement(sK0(sK2),sK2),
inference(ground_joinability,[status(thm)],[c_5337,c_3923,c_4379]) ).
tcf(c_5449,plain,
( ( c(sK0(sK2)) = sK2 )
| ~ test(sK0(sK2)) ),
inference(superposition,[status(thm)],[c_5353,c_68]) ).
tcf(c_5456,plain,
addition(sK3,one) = one,
inference(superposition,[status(thm)],[c_5145,c_1329]) ).
tcf(c_5466,plain,
addition(one,sK3) = one,
inference(theory_normalisation,[status(thm)],[c_5456,c_50,c_49]) ).
tcf(c_5467,plain,
addition(iPr_def_10,iPr_def_13) = one,
inference(light_normalisation,[status(thm)],[c_5466,c_1386]) ).
tcf(c_5511,plain,
! [X0: $i] : multiplication(addition(iPr_def_10,iPr_def_13),X0) = X0,
inference(demodulation,[status(thm)],[c_55,c_5467]) ).
tcf(c_5512,plain,
! [X0: $i] : multiplication(X0,addition(iPr_def_10,iPr_def_13)) = X0,
inference(demodulation,[status(thm)],[c_54,c_5467]) ).
tcf(c_5814,plain,
! [X0: $i] :
( ( addition(X0,c(X0)) = addition(iPr_def_10,iPr_def_13) )
| ~ test(X0) ),
inference(light_normalisation,[status(thm)],[c_1374,c_5467]) ).
tcf(c_5822,plain,
addition(sK1,c(sK1)) = addition(iPr_def_10,iPr_def_13),
inference(superposition,[status(thm)],[c_1019,c_5814]) ).
tcf(c_5889,plain,
! [X0: $i] : addition(multiplication(X0,sK1),multiplication(X0,c(sK1))) = multiplication(X0,addition(iPr_def_10,iPr_def_13)),
inference(superposition,[status(thm)],[c_5822,c_56]) ).
tcf(c_5891,plain,
! [X0: $i] : addition(multiplication(sK1,X0),multiplication(c(sK1),X0)) = multiplication(addition(iPr_def_10,iPr_def_13),X0),
inference(superposition,[status(thm)],[c_5822,c_57]) ).
tcf(c_5898,plain,
! [X0: $i] : addition(multiplication(sK1,X0),multiplication(c(sK1),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_5891,c_5511]) ).
tcf(c_5899,plain,
! [X0: $i] : addition(multiplication(X0,sK1),multiplication(X0,c(sK1))) = X0,
inference(light_normalisation,[status(thm)],[c_5889,c_5512]) ).
tcf(c_5991,plain,
multiplication(iPr_def_11,c(iPr_def_10)) = multiplication(sK1,zero),
inference(superposition,[status(thm)],[c_4810,c_1451]) ).
tcf(c_6325,plain,
addition(multiplication(sK1,sK1),zero) = sK1,
inference(superposition,[status(thm)],[c_4378,c_5229]) ).
tcf(c_6337,plain,
addition(zero,multiplication(sK1,sK1)) = sK1,
inference(theory_normalisation,[status(thm)],[c_6325,c_50,c_49]) ).
tcf(c_6368,plain,
multiplication(sK1,sK1) = sK1,
inference(demodulation,[status(thm)],[c_6337,c_1291]) ).
tcf(c_6371,plain,
addition(multiplication(sK1,iPr_def_13),sK1) = multiplication(sK1,iPr_def_13),
inference(superposition,[status(thm)],[c_6368,c_1498]) ).
tcf(c_6379,plain,
addition(sK1,multiplication(sK1,iPr_def_13)) = multiplication(sK1,iPr_def_13),
inference(theory_normalisation,[status(thm)],[c_6371,c_50,c_49]) ).
tcf(c_6467,plain,
addition(zero,multiplication(c(sK1),sK0(sK1))) = c(sK1),
inference(superposition,[status(thm)],[c_4035,c_5230]) ).
tcf(c_6546,plain,
multiplication(c(sK1),sK0(sK1)) = c(sK1),
inference(demodulation,[status(thm)],[c_6467,c_1291]) ).
tcf(c_6737,plain,
addition(multiplication(sK2,iPr_def_10),sK0(sK2)) = iPr_def_10,
inference(superposition,[status(thm)],[c_4496,c_5351]) ).
tcf(c_6750,plain,
addition(zero,sK0(sK2)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_6737,c_1362]) ).
tcf(c_6788,plain,
sK0(sK2) = iPr_def_10,
inference(demodulation,[status(thm)],[c_6750,c_1291]) ).
tcf(c_6791,plain,
( ( c(iPr_def_10) = sK2 )
| ~ test(iPr_def_10) ),
inference(demodulation,[status(thm)],[c_5449,c_6788]) ).
tcf(c_6805,plain,
c(iPr_def_10) = sK2,
inference(forward_subsumption_resolution,[status(thm)],[c_6791,c_1320]) ).
tcf(c_6825,plain,
addition(iPr_def_11,multiplication(sK1,c(iPr_def_10))) = sK1,
inference(demodulation,[status(thm)],[c_1788,c_6805]) ).
tcf(c_6868,plain,
! [X0: $i] : addition(multiplication(X0,c(iPr_def_10)),multiplication(X0,sK3)) = multiplication(X0,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_1495,c_6805]) ).
tcf(c_7080,plain,
addition(multiplication(sK1,sK0(sK1)),c(sK1)) = sK0(sK1),
inference(superposition,[status(thm)],[c_6546,c_5898]) ).
tcf(c_7094,plain,
addition(c(sK1),multiplication(sK1,sK0(sK1))) = sK0(sK1),
inference(theory_normalisation,[status(thm)],[c_7080,c_50,c_49]) ).
tcf(c_7095,plain,
addition(c(sK1),zero) = sK0(sK1),
inference(light_normalisation,[status(thm)],[c_7094,c_3922]) ).
tcf(c_7096,plain,
addition(zero,c(sK1)) = sK0(sK1),
inference(theory_normalisation,[status(thm)],[c_7095,c_50,c_49]) ).
tcf(c_7118,plain,
multiplication(sK1,addition(zero,c(sK1))) = zero,
inference(demodulation,[status(thm)],[c_3922,c_7096]) ).
tcf(c_7282,plain,
multiplication(iPr_def_11,c(iPr_def_10)) = zero,
inference(demodulation,[status(thm)],[c_7118,c_51,c_56,c_4805,c_5991]) ).
tcf(c_7285,plain,
addition(zero,multiplication(iPr_def_11,sK3)) = multiplication(iPr_def_11,iPr_def_13),
inference(superposition,[status(thm)],[c_7282,c_6868]) ).
tcf(c_7297,plain,
multiplication(iPr_def_11,sK3) = multiplication(iPr_def_11,iPr_def_13),
inference(demodulation,[status(thm)],[c_7285,c_1291]) ).
tcf(c_7574,plain,
! [X0: $i,X1: $i] : addition(multiplication(X0,iPr_def_10),multiplication(X0,addition(X1,c(iPr_def_10)))) = multiplication(X0,addition(addition(iPr_def_10,iPr_def_13),X1)),
inference(light_normalisation,[status(thm)],[c_1503,c_3709,c_5467,c_6805]) ).
tcf(c_7575,plain,
! [X0: $i,X1: $i] : addition(multiplication(X0,iPr_def_10),addition(multiplication(X0,X1),multiplication(X0,c(iPr_def_10)))) = addition(X0,addition(multiplication(X0,iPr_def_13),multiplication(X0,X1))),
inference(demodulation,[status(thm)],[c_7574,c_50,c_56,c_1523]) ).
tcf(c_7619,plain,
addition(multiplication(sK1,iPr_def_10),addition(sK1,multiplication(sK1,c(iPr_def_10)))) = addition(sK1,addition(multiplication(sK1,iPr_def_13),sK1)),
inference(superposition,[status(thm)],[c_6368,c_7575]) ).
tcf(c_7674,plain,
addition(sK1,addition(multiplication(sK1,iPr_def_10),multiplication(sK1,c(iPr_def_10)))) = addition(sK1,addition(sK1,multiplication(sK1,iPr_def_13))),
inference(theory_normalisation,[status(thm)],[c_7619,c_50,c_49]) ).
tcf(c_7675,plain,
addition(sK1,sK1) = multiplication(sK1,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_7674,c_1010,c_6379,c_6825]) ).
tcf(c_9135,plain,
multiplication(sK1,iPr_def_13) = sK1,
inference(demodulation,[status(thm)],[c_7675,c_52]) ).
tcf(c_16556,plain,
addition(multiplication(iPr_def_11,c(sK1)),zero) = zero,
inference(superposition,[status(thm)],[c_4805,c_2213]) ).
tcf(c_16573,plain,
addition(zero,multiplication(iPr_def_11,c(sK1))) = zero,
inference(theory_normalisation,[status(thm)],[c_16556,c_50,c_49]) ).
tcf(c_16710,plain,
multiplication(iPr_def_11,c(sK1)) = zero,
inference(demodulation,[status(thm)],[c_16573,c_1291]) ).
tcf(c_16718,plain,
addition(multiplication(iPr_def_11,sK1),zero) = iPr_def_11,
inference(superposition,[status(thm)],[c_16710,c_5899]) ).
tcf(c_16719,plain,
addition(zero,multiplication(iPr_def_11,sK1)) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_16718,c_50,c_49]) ).
tcf(c_16956,plain,
! [X0: $i] : addition(X0,multiplication(sK1,multiplication(iPr_def_10,X0))) = addition(X0,multiplication(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_5285,c_2283]) ).
tcf(c_17067,plain,
! [X0: $i] : addition(X0,multiplication(iPr_def_11,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_16956,c_1451,c_1594]) ).
tcf(c_17432,plain,
multiplication(iPr_def_11,sK1) = iPr_def_11,
inference(demodulation,[status(thm)],[c_16719,c_1291]) ).
tcf(c_17435,plain,
! [X0: $i] : multiplication(iPr_def_11,multiplication(sK1,X0)) = multiplication(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_17432,c_53]) ).
tcf(c_17888,plain,
multiplication(iPr_def_11,sK1) = multiplication(iPr_def_11,iPr_def_13),
inference(superposition,[status(thm)],[c_9135,c_17435]) ).
tcf(c_17901,plain,
multiplication(iPr_def_11,iPr_def_13) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_17888,c_17432]) ).
tcf(c_17915,plain,
multiplication(iPr_def_11,sK3) = iPr_def_11,
inference(demodulation,[status(thm)],[c_7297,c_17901]) ).
tcf(c_18128,plain,
addition(sK3,iPr_def_11) = sK3,
inference(superposition,[status(thm)],[c_17915,c_17067]) ).
tcf(c_18162,plain,
addition(iPr_def_11,sK3) = sK3,
inference(theory_normalisation,[status(thm)],[c_18128,c_50,c_49]) ).
tcf(c_18163,plain,
sK3 = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_18162,c_1299]) ).
tcf(c_18277,plain,
iPr_def_12 != iPr_def_12,
inference(demodulation,[status(thm)],[c_1014,c_18163]) ).
tcf(c_18282,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_18277]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE019+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n004.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Wed Sep 23 18:37:20 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.40 Running first-order theorem proving
% 0.02/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.41
% 0.02/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.41
% 0.02/0.41 % Detected problem language: tptp
% 0.02/0.42 % Proving...
% 10.41/2.80 % SZS status Started for theBenchmark.p
% 10.41/2.80 % SZS status Theorem for theBenchmark.p
% 10.41/2.80
% 10.41/2.80 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.41/2.80
% 10.41/2.80 % ------ iProver source info
% 10.41/2.80
% 10.41/2.80 % git: date: 2026-07-19 20:42:38 +0200
% 10.41/2.80 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.41/2.80 % git: non_committed_changes: false
% 10.41/2.80
% 10.41/2.80 % ------ Parsing...
% 10.41/2.80 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.41/2.80
% 10.41/2.80 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 10.41/2.80
% 10.41/2.80 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.41/2.80
% 10.41/2.80 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.41/2.80 % ------ Proving...
% 10.41/2.80 % ------ Problem Properties
% 10.41/2.80
% 10.41/2.80 %
% 10.41/2.80 % clauses 31
% 10.41/2.80 % conjectures 3
% 10.41/2.80 % EPR 7
% 10.41/2.80 % Horn 30
% 10.41/2.80 % unary 21
% 10.41/2.80 % binary 8
% 10.41/2.80 % lits 44
% 14.01/2.80 % lits eq 28
% 14.01/2.80 % fd_pure 0
% 14.01/2.80 % fd_pseudo 0
% 14.01/2.80 % fd_cond 0
% 14.01/2.80 % fd_pseudo_cond 1
% 14.01/2.80 % AC symbols 1
% 14.01/2.80
% 14.01/2.80 % ------ Schedule dynamic 5 is on
% 14.01/2.80
% 14.01/2.80 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.01/2.80
% 14.01/2.80
% 14.01/2.80 % ------
% 14.01/2.80 % Current options:
% 14.01/2.80 % ------
% 14.01/2.80
% 14.01/2.80
% 14.01/2.80 %
% 14.01/2.80
% 14.01/2.80 % ------ Proving...
% 14.01/2.80 %
% 14.01/2.80
% 14.01/2.80 % SZS status Theorem for theBenchmark.p
% 14.01/2.80
% 14.01/2.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.01/2.80
% 14.01/2.80
%------------------------------------------------------------------------------