%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KLE144+2 : 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 : n001.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 01:52:30 PM UTC 2026
% Result : Theorem 1.85s 1.63s
% Output : CNFRefutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 107 ( 74 unt; 3 def)
% Number of atoms : 220 ( 67 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 71 ( 36 ~; 29 |; 3 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 135 ( 0 sgn 134 !; 1 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+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/KLE004+0.ax',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_left_identity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',distributivity2) ).
fof(f10,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',left_annihilation) ).
fof(f11,axiom,
! [X0] : addition(one,multiplication(X0,star(X0))) = star(X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',star_unfold1) ).
fof(f13,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X2),X1),X2)
=> leq(multiplication(star(X0),X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',star_induction1) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',infty_unfold1) ).
fof(f16,axiom,
! [X0,X1,X2] :
( leq(X2,addition(multiplication(X0,X2),X1))
=> leq(X2,multiplication(strong_iteration(X0),X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',infty_coinduction) ).
fof(f17,axiom,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',isolation) ).
fof(f18,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',order) ).
fof(f19,conjecture,
! [X0] :
( leq(strong_iteration(one),strong_iteration(star(X0)))
& leq(strong_iteration(star(X0)),strong_iteration(one)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( leq(strong_iteration(one),strong_iteration(star(X0)))
& leq(strong_iteration(star(X0)),strong_iteration(one)) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ~ leq(addition(multiplication(X0,X2),X1),X2)
| leq(multiplication(star(X0),X1),X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ leq(X2,addition(multiplication(X0,X2),X1))
| leq(X2,multiplication(strong_iteration(X0),X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f24,plain,
? [X0] :
( ~ leq(strong_iteration(one),strong_iteration(star(X0)))
| ~ leq(strong_iteration(star(X0)),strong_iteration(one)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f25,plain,
! [X0,X1] :
( ( ~ leq(X0,X1)
| addition(X0,X1) = X1 )
& ( addition(X0,X1) != X1
| leq(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f26,plain,
( ~ leq(strong_iteration(one),strong_iteration(star(sK0)))
| ~ leq(strong_iteration(star(sK0)),strong_iteration(one)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f24]) ).
fof(f27,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f30,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f33,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f35,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f36,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f37,plain,
! [X0] : star(X0) = addition(one,multiplication(X0,star(X0))),
inference(cnf_transformation,[],[f11]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X2),X1),X2)
| leq(multiplication(star(X0),X1),X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f41,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ leq(X2,addition(multiplication(X0,X2),X1))
| leq(X2,multiplication(strong_iteration(X0),X1)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f43,plain,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
inference(cnf_transformation,[],[f17]) ).
fof(f44,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f45,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
( ~ leq(strong_iteration(one),strong_iteration(star(sK0)))
| ~ leq(strong_iteration(star(sK0)),strong_iteration(one)) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f27]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] : addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f28]) ).
tcf(c_52,plain,
! [X0: $i] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f30]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] : multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f31]) ).
tcf(c_54,plain,
! [X0: $i] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f32]) ).
tcf(c_55,plain,
! [X0: $i] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f33]) ).
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,[],[f35]) ).
tcf(c_58,plain,
! [X0: $i] : multiplication(zero,X0) = zero,
inference(cnf_transformation,[],[f36]) ).
tcf(c_59,plain,
! [X0: $i] : addition(one,multiplication(X0,star(X0))) = star(X0),
inference(cnf_transformation,[],[f37]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_63,plain,
! [X0: $i] : addition(multiplication(X0,strong_iteration(X0)),one) = strong_iteration(X0),
inference(cnf_transformation,[],[f41]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,multiplication(strong_iteration(X1),X2))
| ~ leq(X0,addition(multiplication(X1,X0),X2)) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_65,plain,
! [X0: $i] : addition(star(X0),multiplication(strong_iteration(X0),zero)) = strong_iteration(X0),
inference(cnf_transformation,[],[f43]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( addition(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( ( addition(X0,X1) = X1 )
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_68,negated_conjecture,
( ~ leq(strong_iteration(one),strong_iteration(star(sK0)))
| ~ leq(strong_iteration(star(sK0)),strong_iteration(one)) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_86,plain,
! [X0: $i] : addition(one,multiplication(X0,strong_iteration(X0))) = strong_iteration(X0),
inference(theory_normalisation,[status(thm)],[c_63,c_50,c_49]) ).
tcf(c_218,definition,
iPr_def_10 = star(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_219,definition,
iPr_def_11 = strong_iteration(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_220,definition,
iPr_def_12 = strong_iteration(one),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_221,negated_conjecture,
( ~ leq(iPr_def_12,iPr_def_11)
| ~ leq(iPr_def_11,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_68,c_220,c_218,c_219]) ).
tcf(c_572,plain,
addition(one,multiplication(sK0,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_218,c_59]) ).
tcf(c_589,plain,
! [X0: $i] : leq(X0,X0),
inference(superposition,[status(thm)],[c_52,c_66]) ).
tcf(c_635,plain,
addition(star(iPr_def_10),multiplication(iPr_def_11,zero)) = iPr_def_11,
inference(superposition,[status(thm)],[c_219,c_65]) ).
tcf(c_637,plain,
addition(multiplication(iPr_def_11,zero),star(iPr_def_10)) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_635,c_50,c_49]) ).
tcf(c_645,plain,
addition(one,multiplication(iPr_def_10,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_219,c_86]) ).
tcf(c_648,plain,
addition(multiplication(iPr_def_10,iPr_def_11),one) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_645,c_50,c_49]) ).
tcf(c_657,plain,
! [X0: $i,X1: $i] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_52,c_50]) ).
tcf(c_1098,plain,
! [X0: $i,X1: $i] :
( leq(multiplication(star(X0),multiplication(X0,X1)),X1)
| ~ leq(multiplication(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_52,c_61]) ).
tcf(c_1104,plain,
! [X0: $i,X1: $i] :
( leq(multiplication(star(one),X1),X0)
| ~ leq(addition(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_55,c_61]) ).
tcf(c_1252,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,multiplication(strong_iteration(X2),X1))
| ~ leq(X0,addition(X1,multiplication(X2,X0))) ),
inference(superposition,[status(thm)],[c_49,c_64]) ).
tcf(c_1394,plain,
! [X0: $i] : addition(one,star(X0)) = star(X0),
inference(superposition,[status(thm)],[c_59,c_657]) ).
tcf(c_1398,plain,
addition(one,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_572,c_657]) ).
tcf(c_1403,plain,
addition(multiplication(iPr_def_10,iPr_def_11),iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_648,c_657]) ).
tcf(c_1410,plain,
! [X0: $i,X1: $i] : leq(X0,addition(X0,X1)),
inference(superposition,[status(thm)],[c_657,c_66]) ).
tcf(c_1418,plain,
addition(iPr_def_10,one) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1398,c_50,c_49]) ).
tcf(c_1419,plain,
addition(iPr_def_11,multiplication(iPr_def_10,iPr_def_11)) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_1403,c_50,c_49]) ).
tcf(c_1460,plain,
! [X0: $i,X1: $i] : leq(X0,addition(X1,X0)),
inference(superposition,[status(thm)],[c_49,c_1410]) ).
tcf(c_1646,plain,
! [X0: $i,X1: $i] : leq(X0,multiplication(strong_iteration(X1),X0)),
inference(superposition,[status(thm)],[c_1460,c_64]) ).
tcf(c_1726,plain,
! [X0: $i] : leq(X0,multiplication(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_219,c_1646]) ).
tcf(c_1760,plain,
! [X0: $i] : addition(multiplication(iPr_def_10,X0),multiplication(one,X0)) = multiplication(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_1418,c_57]) ).
tcf(c_1763,plain,
! [X0: $i] : addition(multiplication(iPr_def_10,X0),X0) = multiplication(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_1760,c_55]) ).
tcf(c_1764,plain,
! [X0: $i] : addition(X0,multiplication(iPr_def_10,X0)) = multiplication(iPr_def_10,X0),
inference(theory_normalisation,[status(thm)],[c_1763,c_50,c_49]) ).
tcf(c_2058,plain,
! [X0: $i] :
( leq(multiplication(star(one),X0),X0)
| ~ leq(multiplication(one,X0),X0) ),
inference(superposition,[status(thm)],[c_55,c_1098]) ).
tcf(c_2065,plain,
! [X0: $i] :
( leq(multiplication(star(one),X0),X0)
| ~ leq(X0,X0) ),
inference(light_normalisation,[status(thm)],[c_2058,c_55]) ).
tcf(c_2066,plain,
! [X0: $i] : leq(multiplication(star(one),X0),X0),
inference(forward_subsumption_resolution,[status(thm)],[c_2065,c_589]) ).
tcf(c_2165,plain,
leq(star(one),one),
inference(superposition,[status(thm)],[c_54,c_2066]) ).
tcf(c_2181,plain,
addition(star(one),one) = one,
inference(superposition,[status(thm)],[c_2165,c_67]) ).
tcf(c_2182,plain,
addition(one,star(one)) = one,
inference(theory_normalisation,[status(thm)],[c_2181,c_50,c_49]) ).
tcf(c_2689,plain,
star(one) = one,
inference(demodulation,[status(thm)],[c_2182,c_1394]) ).
tcf(c_3272,plain,
multiplication(iPr_def_10,iPr_def_11) = iPr_def_11,
inference(demodulation,[status(thm)],[c_1419,c_1764]) ).
tcf(c_3284,plain,
! [X0: $i] :
( leq(iPr_def_11,multiplication(strong_iteration(iPr_def_10),X0))
| ~ leq(iPr_def_11,addition(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_3272,c_64]) ).
tcf(c_3285,plain,
! [X0: $i] :
( leq(iPr_def_11,multiplication(iPr_def_11,X0))
| ~ leq(iPr_def_11,addition(iPr_def_11,X0)) ),
inference(light_normalisation,[status(thm)],[c_3284,c_219]) ).
tcf(c_3286,plain,
! [X0: $i] : leq(iPr_def_11,multiplication(iPr_def_11,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_3285,c_1410]) ).
tcf(c_3349,plain,
! [X0: $i,X1: $i] :
( leq(multiplication(one,X1),X0)
| ~ leq(addition(X0,X1),X0) ),
inference(light_normalisation,[status(thm)],[c_1104,c_2689]) ).
tcf(c_3350,plain,
! [X0: $i,X1: $i] :
( leq(X1,X0)
| ~ leq(addition(X0,X1),X0) ),
inference(demodulation,[status(thm)],[c_3349,c_55]) ).
tcf(c_3370,plain,
( leq(star(iPr_def_10),multiplication(iPr_def_11,zero))
| ~ leq(iPr_def_11,multiplication(iPr_def_11,zero)) ),
inference(superposition,[status(thm)],[c_637,c_3350]) ).
tcf(c_3394,plain,
leq(star(iPr_def_10),multiplication(iPr_def_11,zero)),
inference(forward_subsumption_resolution,[status(thm)],[c_3370,c_3286]) ).
tcf(c_3499,plain,
addition(star(iPr_def_10),multiplication(iPr_def_11,zero)) = multiplication(iPr_def_11,zero),
inference(superposition,[status(thm)],[c_3394,c_67]) ).
tcf(c_3500,plain,
addition(multiplication(iPr_def_11,zero),star(iPr_def_10)) = multiplication(iPr_def_11,zero),
inference(theory_normalisation,[status(thm)],[c_3499,c_50,c_49]) ).
tcf(c_3501,plain,
multiplication(iPr_def_11,zero) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_3500,c_637]) ).
tcf(c_3515,plain,
! [X0: $i] : multiplication(iPr_def_11,multiplication(zero,X0)) = multiplication(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_3501,c_53]) ).
tcf(c_3519,plain,
! [X0: $i] : multiplication(iPr_def_11,X0) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_3515,c_58,c_3501]) ).
tcf(c_3521,plain,
! [X0: $i] : leq(X0,iPr_def_11),
inference(demodulation,[status(thm)],[c_1726,c_3519]) ).
tcf(c_3529,plain,
~ leq(iPr_def_11,iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_221,c_3521]) ).
tcf(c_8829,plain,
! [X0: $i,X1: $i] :
( leq(X0,multiplication(strong_iteration(one),X1))
| ~ leq(X0,addition(X1,X0)) ),
inference(superposition,[status(thm)],[c_55,c_1252]) ).
tcf(c_8852,plain,
! [X0: $i,X1: $i] :
( leq(X0,multiplication(iPr_def_12,X1))
| ~ leq(X0,addition(X1,X0)) ),
inference(light_normalisation,[status(thm)],[c_8829,c_220]) ).
tcf(c_8853,plain,
! [X0: $i,X1: $i] : leq(X0,multiplication(iPr_def_12,X1)),
inference(forward_subsumption_resolution,[status(thm)],[c_8852,c_1460]) ).
tcf(c_8877,plain,
! [X0: $i] : leq(X0,iPr_def_12),
inference(superposition,[status(thm)],[c_54,c_8853]) ).
tcf(c_8891,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_3529,c_8877]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE144+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 19:10:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.85/1.63 % SZS status Started for theBenchmark.p
% 1.85/1.63 % SZS status Theorem for theBenchmark.p
% 1.85/1.63
% 1.85/1.63 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.85/1.63
% 1.85/1.63 % ------ iProver source info
% 1.85/1.63
% 1.85/1.63 % git: date: 2026-07-19 20:42:38 +0200
% 1.85/1.63 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.85/1.63 % git: non_committed_changes: false
% 1.85/1.63
% 1.85/1.63 % ------ Parsing...
% 1.85/1.63 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.85/1.63
% 1.85/1.63 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.85/1.63
% 1.85/1.63 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.85/1.63
% 1.85/1.63 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.85/1.63 % ------ Proving...
% 1.85/1.63 % ------ Problem Properties
% 1.85/1.63
% 1.85/1.63 %
% 1.85/1.63 % clauses 23
% 1.85/1.63 % conjectures 1
% 1.85/1.63 % EPR 1
% 1.85/1.63 % Horn 23
% 1.85/1.63 % unary 17
% 1.85/1.63 % binary 6
% 1.85/1.63 % lits 29
% 1.85/1.63 % lits eq 19
% 1.85/1.63 % fd_pure 0
% 1.85/1.63 % fd_pseudo 0
% 1.85/1.63 % fd_cond 0
% 1.85/1.63 % fd_pseudo_cond 0
% 1.85/1.63 % AC symbols 1
% 1.85/1.63
% 1.85/1.63 % ------ Schedule dynamic 5 is on
% 1.85/1.63
% 1.85/1.63 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.85/1.63
% 1.85/1.63
% 1.85/1.63 % ------
% 1.85/1.63 % Current options:
% 1.85/1.63 % ------
% 1.85/1.63
% 1.85/1.63
% 1.85/1.63 %
% 1.85/1.63
% 1.85/1.63 % ------ Proving...
% 1.85/1.63 %
% 1.85/1.63
% 1.85/1.63 % SZS status Theorem for theBenchmark.p
% 1.85/1.63
% 1.85/1.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.85/1.64
% 1.85/1.64
%------------------------------------------------------------------------------