%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KLE027+4 : 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 : n006.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 01:52:13 PM UTC 2026
% Result : Theorem 65.73s 12.39s
% Output : CNFRefutation 65.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of formulae : 96 ( 67 unt; 8 def)
% Number of atoms : 209 ( 88 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 100 ( 41 ~; 32 |; 19 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 116 ( 0 sgn 106 !; 10 ?; 37 :)
% 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(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/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/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(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(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(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',order) ).
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(f19,conjecture,
! [X0,X1,X2,X3,X4] :
( ( test(X4)
& test(X3) )
=> ( leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)))
& leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( test(X4)
& test(X3) )
=> ( leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)))
& leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2))) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( addition(X0,X1) = X1
=> leq(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f22,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ~ test(X0)
| ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f29,plain,
? [X0,X1,X2,X3,X4] :
( test(X4)
& test(X3)
& ( ~ leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)))
| ~ leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2))) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f30,plain,
? [X0,X1,X2,X3,X4] :
( test(X4)
& test(X3)
& ( ~ leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)))
| ~ leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2))) ) ),
inference(flattening,[],[f29]) ).
fof(f34,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(f35,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,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ~ test(X0)
| ( ( c(X0) != X1
| complement(X0,X1) )
& ( ~ complement(X0,X1)
| c(X0) = X1 ) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f37,plain,
( test(sK5)
& test(sK4)
& ( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)),addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3)))
| ~ leq(addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5)],[f30]) ).
fof(f38,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f39,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f40,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f41,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f42,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f43,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f45,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f47,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f48,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f49,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f52,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f35]) ).
fof(f53,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
! [X0,X1] :
( ~ test(X0)
| c(X0) != X1
| complement(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f62,plain,
test(sK4),
inference(cnf_transformation,[],[f37]) ).
fof(f63,plain,
( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)),addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3)))
| ~ leq(addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3))) ),
inference(cnf_transformation,[],[f37]) ).
fof(f64,plain,
! [X0] :
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(equality_resolution,[],[f56]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f38]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] : addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f39]) ).
tcf(c_51,plain,
! [X0: $i] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f40]) ).
tcf(c_52,plain,
! [X0: $i] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f41]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] : multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f42]) ).
tcf(c_54,plain,
! [X0: $i] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f43]) ).
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,[],[f45]) ).
tcf(c_58,plain,
! [X0: $i] : multiplication(X0,zero) = zero,
inference(cnf_transformation,[],[f47]) ).
tcf(c_59,plain,
! [X0: $i] : multiplication(zero,X0) = zero,
inference(cnf_transformation,[],[f48]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( addition(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( ( multiplication(X0,X1) = zero )
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ( addition(X1,X0) = one )
| ~ complement(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_68,plain,
! [X0: $i] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_72,negated_conjecture,
( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)),addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3)))
| ~ leq(addition(multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2))),multiplication(c(sK4),sK3)),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3))) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_73,negated_conjecture,
test(sK4),
inference(cnf_transformation,[],[f62]) ).
tcf(c_95,negated_conjecture,
( ~ leq(addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3)),addition(multiplication(c(sK4),sK3),multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2)))))
| ~ leq(addition(multiplication(c(sK4),sK3),multiplication(sK4,addition(multiplication(sK4,sK1),multiplication(c(sK4),sK2)))),addition(multiplication(sK4,sK1),multiplication(c(sK4),sK3))) ),
inference(theory_normalisation,[status(thm)],[c_72,c_50,c_49]) ).
tcf(c_396,definition,
iPr_def_10 = c(sK4),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_397,definition,
iPr_def_11 = multiplication(iPr_def_10,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_398,definition,
iPr_def_12 = multiplication(sK4,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_399,definition,
iPr_def_13 = multiplication(iPr_def_10,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_400,definition,
iPr_def_14 = addition(iPr_def_12,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_401,definition,
iPr_def_15 = multiplication(sK4,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_402,definition,
iPr_def_16 = addition(iPr_def_11,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_403,definition,
iPr_def_17 = addition(iPr_def_12,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_404,negated_conjecture,
( ~ leq(iPr_def_17,iPr_def_16)
| ~ leq(iPr_def_16,iPr_def_17) ),
inference(demodulation,[status(thm)],[c_95,c_403,c_399,c_398,c_400,c_401,c_396,c_397,c_402]) ).
tcf(c_406,negated_conjecture,
test(sK4),
inference(demodulation,[status(thm)],[c_73]) ).
tcf(c_790,plain,
! [X0: $i] : leq(X0,X0),
inference(superposition,[status(thm)],[c_52,c_60]) ).
tcf(c_142340,plain,
( complement(sK4,iPr_def_10)
| ~ test(sK4) ),
inference(superposition,[status(thm)],[c_396,c_68]) ).
tcf(c_142344,plain,
complement(sK4,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_142340,c_406]) ).
tcf(c_142593,plain,
multiplication(sK4,iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_142344,c_65]) ).
tcf(c_143025,plain,
! [X0: $i] : multiplication(sK4,multiplication(iPr_def_10,X0)) = multiplication(zero,X0),
inference(superposition,[status(thm)],[c_142593,c_53]) ).
tcf(c_143030,plain,
! [X0: $i] : multiplication(sK4,multiplication(iPr_def_10,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_143025,c_59]) ).
tcf(c_146002,plain,
multiplication(sK4,iPr_def_13) = zero,
inference(superposition,[status(thm)],[c_399,c_143030]) ).
tcf(c_146451,plain,
! [X0: $i] : addition(multiplication(sK4,X0),zero) = multiplication(sK4,addition(X0,iPr_def_13)),
inference(superposition,[status(thm)],[c_146002,c_56]) ).
tcf(c_146455,plain,
! [X0: $i] : addition(zero,multiplication(sK4,X0)) = multiplication(sK4,addition(X0,iPr_def_13)),
inference(theory_normalisation,[status(thm)],[c_146451,c_50,c_49]) ).
tcf(c_152233,plain,
! [X0: $i] : addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
tcf(c_152237,plain,
! [X0: $i] : multiplication(sK4,addition(X0,iPr_def_13)) = multiplication(sK4,X0),
inference(demodulation,[status(thm)],[c_146455,c_152233]) ).
tcf(c_152294,plain,
multiplication(sK4,iPr_def_12) = multiplication(sK4,iPr_def_14),
inference(superposition,[status(thm)],[c_400,c_152237]) ).
tcf(c_152296,plain,
multiplication(sK4,iPr_def_12) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_152294,c_401]) ).
tcf(c_152400,plain,
addition(iPr_def_11,iPr_def_12) = iPr_def_17,
inference(theory_normalisation,[status(thm)],[c_403,c_50,c_49]) ).
tcf(c_152412,plain,
( complement(sK4,iPr_def_10)
| ~ test(sK4) ),
inference(superposition,[status(thm)],[c_396,c_68]) ).
tcf(c_152416,plain,
complement(sK4,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_152412,c_406]) ).
tcf(c_152660,plain,
multiplication(sK4,iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_152416,c_65]) ).
tcf(c_152671,plain,
addition(iPr_def_10,sK4) = one,
inference(superposition,[status(thm)],[c_152416,c_66]) ).
tcf(c_152812,plain,
! [X0: $i] : addition(zero,multiplication(sK4,X0)) = multiplication(sK4,addition(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_152660,c_56]) ).
tcf(c_152829,plain,
! [X0: $i,X1: $i] : addition(multiplication(X0,X1),zero) = multiplication(X0,addition(X1,zero)),
inference(superposition,[status(thm)],[c_58,c_56]) ).
tcf(c_152869,plain,
! [X0: $i,X1: $i] : addition(zero,multiplication(X0,X1)) = multiplication(X0,addition(X1,zero)),
inference(theory_normalisation,[status(thm)],[c_152829,c_50,c_49]) ).
tcf(c_153055,plain,
! [X0: $i] : multiplication(sK4,addition(iPr_def_10,X0)) = multiplication(sK4,X0),
inference(demodulation,[status(thm)],[c_152812,c_51,c_152869]) ).
tcf(c_153065,plain,
multiplication(sK4,one) = multiplication(sK4,sK4),
inference(superposition,[status(thm)],[c_152671,c_153055]) ).
tcf(c_153090,plain,
multiplication(sK4,sK4) = sK4,
inference(demodulation,[status(thm)],[c_153065,c_54]) ).
tcf(c_153093,plain,
! [X0: $i] : multiplication(sK4,multiplication(sK4,X0)) = multiplication(sK4,X0),
inference(superposition,[status(thm)],[c_153090,c_53]) ).
tcf(c_157635,plain,
multiplication(sK4,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_398,c_153093]) ).
tcf(c_157663,plain,
iPr_def_12 = iPr_def_15,
inference(demodulation,[status(thm)],[c_152296,c_157635]) ).
tcf(c_157669,plain,
addition(iPr_def_11,iPr_def_12) = iPr_def_16,
inference(demodulation,[status(thm)],[c_402,c_157663]) ).
tcf(c_157670,plain,
iPr_def_16 = iPr_def_17,
inference(demodulation,[status(thm)],[c_152400,c_157669]) ).
tcf(c_157676,plain,
~ leq(iPr_def_16,iPr_def_16),
inference(demodulation,[status(thm)],[c_404,c_157670]) ).
tcf(c_157677,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_157676,c_790]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE027+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n006.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Sep 23 18:41:27 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 65.73/12.39 % SZS status Started for theBenchmark.p
% 65.73/12.39 % SZS status Theorem for theBenchmark.p
% 65.73/12.39
% 65.73/12.39 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 65.73/12.39
% 65.73/12.39 % ------ iProver source info
% 65.73/12.39
% 65.73/12.39 % git: date: 2026-07-19 20:42:38 +0200
% 65.73/12.39 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 65.73/12.39 % git: non_committed_changes: false
% 65.73/12.39
% 65.73/12.39 % ------ Parsing...
% 65.73/12.39 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 65.73/12.39
% 65.73/12.39 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 65.73/12.39
% 65.73/12.39 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 65.73/12.39
% 65.73/12.39 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 65.73/12.39 % ------ Proving...
% 65.73/12.39 % ------ Problem Properties
% 65.73/12.39
% 65.73/12.39 %
% 65.73/12.39 % clauses 34
% 65.73/12.39 % conjectures 3
% 65.73/12.39 % EPR 4
% 65.73/12.39 % Horn 33
% 65.73/12.39 % unary 21
% 65.73/12.39 % binary 9
% 65.73/12.39 % lits 52
% 65.73/12.39 % lits eq 30
% 65.73/12.39 % fd_pure 0
% 65.73/12.39 % fd_pseudo 0
% 65.73/12.39 % fd_cond 0
% 65.73/12.39 % fd_pseudo_cond 1
% 65.73/12.39 % AC symbols 1
% 65.73/12.39
% 65.73/12.39 % ------ Schedule dynamic 5 is on
% 65.73/12.39
% 65.73/12.39 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 65.73/12.39
% 65.73/12.39
% 65.73/12.39 % ------
% 65.73/12.39 % Current options:
% 65.73/12.39 % ------
% 65.73/12.39
% 65.73/12.39
% 65.73/12.39 %
% 65.73/12.39
% 65.73/12.39 % ------ Proving...
% 65.73/12.39 % Proof_search_loop: time out after: 4656 full_loop iterations
% 65.73/12.39
% 65.73/12.39 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 65.73/12.39
% 65.73/12.39
% 65.73/12.39 % ------
% 65.73/12.39 % Current options:
% 65.73/12.39 % ------
% 65.73/12.39
% 65.73/12.39
% 65.73/12.39 %
% 65.73/12.39
% 65.73/12.39 % ------ Proving...
% 65.73/12.39 %
% 65.73/12.39
% 65.73/12.39 % SZS status Theorem for theBenchmark.p
% 65.73/12.39
% 65.73/12.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 65.73/12.39
% 65.73/12.39
%------------------------------------------------------------------------------