%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KLE039+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 : n002.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 01:52:15 PM UTC 2026
% Result : Theorem 2.32s 1.76s
% Output : CNFRefutation 2.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 104 ( 81 unt; 2 def)
% Number of atoms : 270 ( 62 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 52 ( 27 ~; 20 |; 3 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 106 ( 0 sgn 105 !; 1 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+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/KLE002+0.ax',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+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/KLE002+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/KLE002+0.ax',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_unfold_left) ).
fof(f15,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X1)
=> leq(multiplication(star(X0),X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_induction_left) ).
fof(f17,conjecture,
! [X0] :
( leq(star(X0),star(star(X0)))
& leq(star(star(X0)),star(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] :
( leq(star(X0),star(star(X0)))
& leq(star(star(X0)),star(X0)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
? [X0] :
( ~ leq(star(X0),star(star(X0)))
| ~ leq(star(star(X0)),star(X0)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
! [X0,X1] :
( ( ~ leq(X0,X1)
| addition(X0,X1) = X1 )
& ( addition(X0,X1) != X1
| leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f23,plain,
( ~ leq(star(sK0),star(star(sK0)))
| ~ leq(star(star(sK0)),star(sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f21]) ).
fof(f24,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f25,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f30,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f32,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f38,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f41,plain,
( ~ leq(star(sK0),star(star(sK0)))
| ~ leq(star(star(sK0)),star(sK0)) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f24]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] : addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f25]) ).
tcf(c_52,plain,
! [X0: $i] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f27]) ).
tcf(c_54,plain,
! [X0: $i] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f29]) ).
tcf(c_55,plain,
! [X0: $i] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f30]) ).
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,[],[f31]) ).
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,[],[f32]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( addition(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( ( addition(X0,X1) = X1 )
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_62,plain,
! [X0: $i] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f37]) ).
tcf(c_63,plain,
! [X0: $i] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f38]) ).
tcf(c_64,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_66,negated_conjecture,
( ~ leq(star(sK0),star(star(sK0)))
| ~ leq(star(star(sK0)),star(sK0)) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_193,definition,
iPr_def_10 = star(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_194,definition,
iPr_def_11 = star(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_195,negated_conjecture,
( ~ leq(iPr_def_11,iPr_def_10)
| ~ leq(iPr_def_10,iPr_def_11) ),
inference(demodulation,[status(thm)],[c_66,c_193,c_194]) ).
tcf(c_501,plain,
leq(addition(one,multiplication(sK0,iPr_def_10)),iPr_def_10),
inference(superposition,[status(thm)],[c_193,c_62]) ).
tcf(c_502,plain,
leq(addition(one,multiplication(iPr_def_10,iPr_def_11)),iPr_def_11),
inference(superposition,[status(thm)],[c_194,c_62]) ).
tcf(c_504,plain,
leq(addition(multiplication(iPr_def_10,iPr_def_11),one),iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_502,c_50,c_49]) ).
tcf(c_510,plain,
leq(addition(one,multiplication(iPr_def_10,sK0)),iPr_def_10),
inference(superposition,[status(thm)],[c_193,c_63]) ).
tcf(c_511,plain,
leq(addition(one,multiplication(iPr_def_11,iPr_def_10)),iPr_def_11),
inference(superposition,[status(thm)],[c_194,c_63]) ).
tcf(c_513,plain,
leq(addition(multiplication(iPr_def_11,iPr_def_10),one),iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_511,c_50,c_49]) ).
tcf(c_522,plain,
! [X0: $i] : leq(X0,X0),
inference(superposition,[status(thm)],[c_52,c_60]) ).
tcf(c_547,plain,
addition(addition(one,multiplication(sK0,iPr_def_10)),iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_501,c_61]) ).
tcf(c_548,plain,
addition(addition(multiplication(iPr_def_10,iPr_def_11),one),iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_504,c_61]) ).
tcf(c_549,plain,
addition(addition(one,multiplication(iPr_def_10,sK0)),iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_510,c_61]) ).
tcf(c_550,plain,
addition(addition(multiplication(iPr_def_11,iPr_def_10),one),iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_513,c_61]) ).
tcf(c_553,plain,
addition(iPr_def_11,addition(multiplication(iPr_def_11,iPr_def_10),one)) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_550,c_50,c_49]) ).
tcf(c_554,plain,
addition(iPr_def_10,addition(one,multiplication(iPr_def_10,sK0))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_549,c_50,c_49]) ).
tcf(c_555,plain,
addition(iPr_def_11,addition(multiplication(iPr_def_10,iPr_def_11),one)) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_548,c_50,c_49]) ).
tcf(c_556,plain,
addition(iPr_def_10,addition(one,multiplication(sK0,iPr_def_10))) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_547,c_50,c_49]) ).
tcf(c_569,plain,
! [X0: $i,X1: $i] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_52,c_50]) ).
tcf(c_775,plain,
! [X0: $i,X1: $i] : leq(X0,addition(X0,X1)),
inference(superposition,[status(thm)],[c_569,c_60]) ).
tcf(c_790,plain,
! [X0: $i,X1: $i] : leq(X0,addition(X1,X0)),
inference(superposition,[status(thm)],[c_49,c_775]) ).
tcf(c_808,plain,
! [X0: $i,X1: $i,X2: $i] : leq(X0,addition(X1,addition(X2,X0))),
inference(superposition,[status(thm)],[c_50,c_790]) ).
tcf(c_827,plain,
leq(one,iPr_def_11),
inference(superposition,[status(thm)],[c_555,c_808]) ).
tcf(c_828,plain,
leq(multiplication(sK0,iPr_def_10),iPr_def_10),
inference(superposition,[status(thm)],[c_556,c_808]) ).
tcf(c_830,plain,
! [X0: $i,X1: $i,X2: $i] : leq(X0,addition(X1,addition(X0,X2))),
inference(superposition,[status(thm)],[c_49,c_808]) ).
tcf(c_869,plain,
addition(one,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_827,c_61]) ).
tcf(c_870,plain,
addition(iPr_def_11,one) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_869,c_50,c_49]) ).
tcf(c_969,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(multiplication(star(X1),X0),X2)
| ~ leq(addition(X0,multiplication(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_49,c_64]) ).
tcf(c_972,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_64]) ).
tcf(c_1146,plain,
addition(multiplication(sK0,iPr_def_10),iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_828,c_61]) ).
tcf(c_1147,plain,
addition(iPr_def_10,multiplication(sK0,iPr_def_10)) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1146,c_50,c_49]) ).
tcf(c_1155,plain,
! [X0: $i] : addition(multiplication(iPr_def_11,X0),multiplication(one,X0)) = multiplication(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_870,c_57]) ).
tcf(c_1156,plain,
! [X0: $i] : leq(one,addition(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_870,c_808]) ).
tcf(c_1159,plain,
! [X0: $i] : addition(multiplication(iPr_def_11,X0),X0) = multiplication(iPr_def_11,X0),
inference(light_normalisation,[status(thm)],[c_1155,c_55]) ).
tcf(c_1160,plain,
! [X0: $i] : addition(X0,multiplication(iPr_def_11,X0)) = multiplication(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_1159,c_50,c_49]) ).
tcf(c_1188,plain,
! [X0: $i] : addition(one,addition(X0,iPr_def_11)) = addition(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_1156,c_61]) ).
tcf(c_1189,plain,
! [X0: $i] : addition(iPr_def_11,addition(X0,one)) = addition(X0,iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_1188,c_50,c_49]) ).
tcf(c_1191,plain,
addition(multiplication(iPr_def_11,iPr_def_10),iPr_def_11) = iPr_def_11,
inference(demodulation,[status(thm)],[c_553,c_1189]) ).
tcf(c_1192,plain,
addition(iPr_def_11,multiplication(iPr_def_11,iPr_def_10)) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_1191,c_50,c_49]) ).
tcf(c_1219,plain,
leq(one,iPr_def_10),
inference(superposition,[status(thm)],[c_554,c_830]) ).
tcf(c_1249,plain,
addition(one,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_1219,c_61]) ).
tcf(c_1250,plain,
addition(iPr_def_10,one) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_1249,c_50,c_49]) ).
tcf(c_1273,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_10),multiplication(X0,one)) = multiplication(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_1250,c_56]) ).
tcf(c_1275,plain,
! [X0: $i] : addition(multiplication(iPr_def_10,X0),multiplication(one,X0)) = multiplication(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_1250,c_57]) ).
tcf(c_1279,plain,
! [X0: $i] : addition(multiplication(iPr_def_10,X0),X0) = multiplication(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_1275,c_55]) ).
tcf(c_1280,plain,
! [X0: $i] : addition(X0,multiplication(iPr_def_10,X0)) = multiplication(iPr_def_10,X0),
inference(theory_normalisation,[status(thm)],[c_1279,c_50,c_49]) ).
tcf(c_1281,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_10),X0) = multiplication(X0,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_1273,c_54]) ).
tcf(c_1282,plain,
! [X0: $i] : addition(X0,multiplication(X0,iPr_def_10)) = multiplication(X0,iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_1281,c_50,c_49]) ).
tcf(c_1613,plain,
multiplication(iPr_def_11,iPr_def_10) = iPr_def_11,
inference(demodulation,[status(thm)],[c_1192,c_1282]) ).
tcf(c_4544,plain,
! [X0: $i] : leq(X0,multiplication(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_1160,c_60]) ).
tcf(c_4788,plain,
leq(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_1613,c_4544]) ).
tcf(c_4790,plain,
~ leq(iPr_def_11,iPr_def_10),
inference(backward_subsumption_resolution,[status(thm)],[c_195,c_4788]) ).
tcf(c_6797,plain,
( leq(multiplication(star(sK0),iPr_def_10),iPr_def_10)
| ~ leq(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_1147,c_969]) ).
tcf(c_6817,plain,
( leq(multiplication(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ leq(iPr_def_10,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_6797,c_193]) ).
tcf(c_6818,plain,
leq(multiplication(iPr_def_10,iPr_def_10),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_6817,c_522]) ).
tcf(c_7100,plain,
addition(multiplication(iPr_def_10,iPr_def_10),iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_6818,c_61]) ).
tcf(c_7101,plain,
addition(iPr_def_10,multiplication(iPr_def_10,iPr_def_10)) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_7100,c_50,c_49]) ).
tcf(c_7108,plain,
multiplication(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_7101,c_1280]) ).
tcf(c_7818,plain,
( leq(multiplication(star(iPr_def_10),iPr_def_10),iPr_def_10)
| ~ leq(multiplication(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_7108,c_972]) ).
tcf(c_7820,plain,
( leq(iPr_def_11,iPr_def_10)
| ~ leq(iPr_def_10,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_7818,c_194,c_1613,c_7108]) ).
tcf(c_7821,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7820,c_4790,c_522]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE039+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 : n002.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 18:46:49 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 2.32/1.76 % SZS status Started for theBenchmark.p
% 2.32/1.76 % SZS status Theorem for theBenchmark.p
% 2.32/1.76
% 2.32/1.76 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.32/1.76
% 2.32/1.76 % ------ iProver source info
% 2.32/1.76
% 2.32/1.76 % git: date: 2026-07-19 20:42:38 +0200
% 2.32/1.76 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.32/1.76 % git: non_committed_changes: false
% 2.32/1.76
% 2.32/1.76 % ------ Parsing...
% 2.32/1.76 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.32/1.76
% 2.32/1.76 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.32/1.76
% 2.32/1.76 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.32/1.76
% 2.32/1.76 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.32/1.76 % ------ Proving...
% 2.32/1.76 % ------ Problem Properties
% 2.32/1.76
% 2.32/1.76 %
% 2.32/1.76 % clauses 20
% 2.32/1.76 % conjectures 1
% 2.32/1.76 % EPR 1
% 2.32/1.76 % Horn 20
% 2.32/1.76 % unary 15
% 2.32/1.76 % binary 5
% 2.32/1.76 % lits 25
% 2.32/1.76 % lits eq 15
% 2.32/1.76 % fd_pure 0
% 2.32/1.76 % fd_pseudo 0
% 2.32/1.76 % fd_cond 0
% 2.32/1.76 % fd_pseudo_cond 0
% 2.32/1.76 % AC symbols 1
% 2.32/1.76
% 2.32/1.76 % ------ Schedule dynamic 5 is on
% 2.32/1.76
% 2.32/1.76 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.32/1.76
% 2.32/1.76
% 2.32/1.76 % ------
% 2.32/1.76 % Current options:
% 2.32/1.76 % ------
% 2.32/1.76
% 2.32/1.76
% 2.32/1.76 %
% 2.32/1.76
% 2.32/1.76 % ------ Proving...
% 2.32/1.76 %
% 2.32/1.76
% 2.32/1.76 % SZS status Theorem for theBenchmark.p
% 2.32/1.76
% 2.32/1.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.32/1.77
% 2.32/1.77
%------------------------------------------------------------------------------