%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU003+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 02:55:01 PM UTC 2026
% Result : Theorem 3.65s 1.18s
% Output : CNFRefutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 78 ( 28 unt; 5 def)
% Number of atoms : 369 ( 57 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 374 ( 151 ~; 149 |; 53 &)
% ( 11 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 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 : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 119 ( 0 sgn 104 !; 15 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( X2 = apply(X0,X3)
& in(X3,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f29,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f30,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( relation_dom(relation_composition(X1,X0)) = relation_dom(X1)
=> subset(relation_rng(X1),relation_dom(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_funct_1) ).
fof(f31,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( relation_dom(relation_composition(X1,X0)) = relation_dom(X1)
=> subset(relation_rng(X1),relation_dom(X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f45,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f46,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( X2 = apply(X0,X3)
& in(X3,relation_dom(X0)) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f47,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( X2 = apply(X0,X3)
& in(X3,relation_dom(X0)) ) ) ) ),
inference(flattening,[],[f46]) ).
fof(f64,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) ) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f65,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) ) ) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
? [X0] :
( function(X0)
& relation(X0)
& ? [X1] :
( function(X1)
& relation(X1)
& relation_dom(relation_composition(X1,X0)) = relation_dom(X1)
& ~ subset(relation_rng(X1),relation_dom(X0)) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f67,plain,
? [X0] :
( function(X0)
& relation(X0)
& ? [X1] :
( function(X1)
& relation(X1)
& relation_dom(relation_composition(X1,X0)) = relation_dom(X1)
& ~ subset(relation_rng(X1),relation_dom(X0)) ) ),
inference(flattening,[],[f66]) ).
fof(f76,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) )
& ( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
| subset(X0,X1) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f77,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) ) )
& ( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
| subset(X0,X1) ) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) ) )
& ( ( in(sK0(X0,X1),X0)
& ~ in(sK0(X0,X1),X1) )
| subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f77]) ).
fof(f79,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X2] :
( ( ~ in(X2,X1)
| ? [X3] :
( X2 = apply(X0,X3)
& in(X3,relation_dom(X0)) ) )
& ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| in(X2,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X3] :
( X2 = apply(X0,X3)
& in(X3,relation_dom(X0)) ) )
& ( ~ in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) ) )
| X1 = relation_rng(X0) ) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f80,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) ) )
& ( ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) )
| in(X5,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) ) )
& ( ~ in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) ) )
| X1 = relation_rng(X0) ) ) ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| ( apply(X0,sK3(X0,X5)) = X5
& in(sK3(X0,X5),relation_dom(X0)) ) )
& ( ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) )
| in(X5,X1) ) ) )
& ( ( ( in(sK1(X0,X1),X1)
| ( sK1(X0,X1) = apply(X0,sK2(X0,X1))
& in(sK2(X0,X1),relation_dom(X0)) ) )
& ( ~ in(sK1(X0,X1),X1)
| ! [X3] :
( apply(X0,X3) != sK1(X0,X1)
| ~ in(X3,relation_dom(X0)) ) ) )
| X1 = relation_rng(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X2,sK1(X0,X1)),skolemize(X4,sK2(X0,X1)),skolemize(X7,sK3(X0,X5))],[f80]) ).
fof(f91,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( ( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) )
& ( ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2))
| in(X0,relation_dom(relation_composition(X2,X1))) ) ) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f92,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( ( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) )
& ( ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2))
| in(X0,relation_dom(relation_composition(X2,X1))) ) ) ) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
( function(sK13)
& relation(sK13)
& function(sK14)
& relation(sK14)
& relation_dom(sK14) = relation_dom(relation_composition(sK14,sK13))
& ~ subset(relation_rng(sK14),relation_dom(sK13)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X0,sK13),skolemize(X1,sK14)],[f67]) ).
fof(f99,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f100,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f101,plain,
! [X0,X1,X5] :
( ~ function(X0)
| ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(X5,X1)
| apply(X0,sK3(X0,X5)) = X5 ),
inference(cnf_transformation,[],[f81]) ).
fof(f102,plain,
! [X0,X1,X5] :
( ~ function(X0)
| ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(X5,X1)
| in(sK3(X0,X5),relation_dom(X0)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f106,plain,
! [X3,X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(sK1(X0,X1),X1)
| apply(X0,X3) != sK1(X0,X1)
| ~ in(X3,relation_dom(X0))
| relation_rng(X0) = X1 ),
inference(cnf_transformation,[],[f81]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| in(apply(X2,X0),relation_dom(X1)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f145,plain,
function(sK13),
inference(cnf_transformation,[],[f93]) ).
fof(f146,plain,
relation(sK13),
inference(cnf_transformation,[],[f93]) ).
fof(f147,plain,
function(sK14),
inference(cnf_transformation,[],[f93]) ).
fof(f148,plain,
relation(sK14),
inference(cnf_transformation,[],[f93]) ).
fof(f149,plain,
relation_dom(sK14) = relation_dom(relation_composition(sK14,sK13)),
inference(cnf_transformation,[],[f93]) ).
fof(f150,plain,
~ subset(relation_rng(sK14),relation_dom(sK13)),
inference(cnf_transformation,[],[f93]) ).
fof(f161,plain,
! [X0,X5] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X5,relation_rng(X0))
| in(sK3(X0,X5),relation_dom(X0)) ),
inference(equality_resolution,[],[f102]) ).
fof(f162,plain,
! [X0,X5] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X5,relation_rng(X0))
| apply(X0,sK3(X0,X5)) = X5 ),
inference(equality_resolution,[],[f101]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ in(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation_rng(X0) = X2 )
| ~ relation(X0)
| ~ function(X0)
| ~ in(X1,relation_dom(X0))
| ~ in(sK1(X0,X2),X2)
| ( apply(X0,X1) != sK1(X0,X2) ) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( in(sK3(X1,X0),relation_dom(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_rng(X1)) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( ( apply(X1,sK3(X1,X0)) = X0 )
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_rng(X1)) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(apply(X1,X0),relation_dom(X2))
| ~ relation(X2)
| ~ relation(X1)
| ~ function(X2)
| ~ function(X1)
| ~ in(X0,relation_dom(relation_composition(X1,X2))) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_99,negated_conjecture,
~ subset(relation_rng(sK14),relation_dom(sK13)),
inference(cnf_transformation,[],[f150]) ).
tcf(c_100,negated_conjecture,
relation_dom(relation_composition(sK14,sK13)) = relation_dom(sK14),
inference(cnf_transformation,[],[f149]) ).
tcf(c_101,negated_conjecture,
relation(sK14),
inference(cnf_transformation,[],[f148]) ).
tcf(c_102,negated_conjecture,
function(sK14),
inference(cnf_transformation,[],[f147]) ).
tcf(c_103,negated_conjecture,
relation(sK13),
inference(cnf_transformation,[],[f146]) ).
tcf(c_104,negated_conjecture,
function(sK13),
inference(cnf_transformation,[],[f145]) ).
tcf(c_2086,definition,
iPr_def_10 = relation_composition(sK14,sK13),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2087,definition,
iPr_def_11 = relation_dom(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2088,definition,
iPr_def_12 = relation_dom(sK14),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2089,definition,
iPr_def_13 = relation_rng(sK14),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2090,definition,
iPr_def_14 = relation_dom(sK13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_2091,negated_conjecture,
function(sK13),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_2092,negated_conjecture,
relation(sK13),
inference(demodulation,[status(thm)],[c_103]) ).
tcf(c_2093,negated_conjecture,
function(sK14),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_2094,negated_conjecture,
relation(sK14),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_2095,negated_conjecture,
iPr_def_11 = iPr_def_12,
inference(demodulation,[status(thm)],[c_100,c_2088,c_2086,c_2087]) ).
tcf(c_2096,negated_conjecture,
~ subset(iPr_def_13,iPr_def_14),
inference(demodulation,[status(thm)],[c_99,c_2090,c_2089]) ).
tcf(c_3207,plain,
relation_dom(sK14) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_2088,c_2095]) ).
tcf(c_3832,plain,
( subset(iPr_def_13,iPr_def_14)
| ~ in(sK0(iPr_def_13,iPr_def_14),iPr_def_14) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_3833,plain,
( subset(iPr_def_13,iPr_def_14)
| in(sK0(iPr_def_13,iPr_def_14),iPr_def_13) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_3911,plain,
! [X0: $i] :
( in(sK3(sK14,X0),iPr_def_11)
| ~ relation(sK14)
| ~ function(sK14)
| ~ in(X0,relation_rng(sK14)) ),
inference(superposition,[status(thm)],[c_3207,c_59]) ).
tcf(c_3930,plain,
! [X0: $i] :
( in(sK3(sK14,X0),iPr_def_11)
| ~ relation(sK14)
| ~ function(sK14)
| ~ in(X0,iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_3911,c_2089]) ).
tcf(c_3931,plain,
! [X0: $i] :
( in(sK3(sK14,X0),iPr_def_11)
| ~ in(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3930,c_2094,c_2093]) ).
tcf(c_4086,plain,
! [X0: $i] :
( ( apply(sK14,sK3(sK14,X0)) = X0 )
| ~ relation(sK14)
| ~ function(sK14)
| ~ in(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2089,c_60]) ).
tcf(c_4088,plain,
! [X0: $i] :
( ( apply(sK14,sK3(sK14,X0)) = X0 )
| ~ in(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4086,c_2094,c_2093]) ).
tcf(c_4306,plain,
! [X0: $i] :
( in(apply(sK14,X0),relation_dom(sK13))
| ~ relation(sK13)
| ~ relation(sK14)
| ~ function(sK13)
| ~ function(sK14)
| ~ in(X0,relation_dom(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_2086,c_98]) ).
tcf(c_4307,plain,
! [X0: $i] :
( in(apply(sK14,X0),iPr_def_14)
| ~ relation(sK13)
| ~ relation(sK14)
| ~ function(sK13)
| ~ function(sK14)
| ~ in(X0,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_4306,c_2087,c_2090]) ).
tcf(c_4308,plain,
! [X0: $i] :
( in(apply(sK14,X0),iPr_def_14)
| ~ in(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4307,c_2092,c_2094,c_2091,c_2093]) ).
tcf(c_4435,plain,
! [X0: $i] :
( subset(iPr_def_13,X0)
| ( apply(sK14,sK3(sK14,sK0(iPr_def_13,X0))) = sK0(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_53,c_4088]) ).
tcf(c_7037,plain,
apply(sK14,sK3(sK14,sK0(iPr_def_13,iPr_def_14))) = sK0(iPr_def_13,iPr_def_14),
inference(superposition,[status(thm)],[c_4435,c_2096]) ).
tcf(c_7044,plain,
! [X0: $i] :
( ( relation_rng(sK14) = X0 )
| ~ relation(sK14)
| ~ function(sK14)
| ~ in(sK1(sK14,X0),X0)
| ~ in(sK3(sK14,sK0(iPr_def_13,iPr_def_14)),relation_dom(sK14))
| ( sK1(sK14,X0) != sK0(iPr_def_13,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_7037,c_55]) ).
tcf(c_7051,plain,
( in(sK0(iPr_def_13,iPr_def_14),iPr_def_14)
| ~ in(sK3(sK14,sK0(iPr_def_13,iPr_def_14)),iPr_def_11) ),
inference(superposition,[status(thm)],[c_7037,c_4308]) ).
tcf(c_7075,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ relation(sK14)
| ~ function(sK14)
| ~ in(sK1(sK14,X0),X0)
| ~ in(sK3(sK14,sK0(iPr_def_13,iPr_def_14)),iPr_def_11)
| ( sK1(sK14,X0) != sK0(iPr_def_13,iPr_def_14) ) ),
inference(light_normalisation,[status(thm)],[c_7044,c_2089,c_3207]) ).
tcf(c_7076,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ in(sK1(sK14,X0),X0)
| ~ in(sK3(sK14,sK0(iPr_def_13,iPr_def_14)),iPr_def_11)
| ( sK1(sK14,X0) != sK0(iPr_def_13,iPr_def_14) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7075,c_2094,c_2093]) ).
tcf(c_7135,plain,
~ in(sK3(sK14,sK0(iPr_def_13,iPr_def_14)),iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_7076,c_2096,c_3832,c_7051]) ).
tcf(c_7137,plain,
~ in(sK0(iPr_def_13,iPr_def_14),iPr_def_13),
inference(superposition,[status(thm)],[c_3931,c_7135]) ).
tcf(c_7139,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7137,c_3833,c_2096]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU003+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n004.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 12:32:36 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 3.65/1.18 % SZS status Started for theBenchmark.p
% 3.65/1.18 % SZS status Theorem for theBenchmark.p
% 3.65/1.18
% 3.65/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.65/1.18
% 3.65/1.18 % ------ iProver source info
% 3.65/1.18
% 3.65/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.65/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.65/1.18 % git: non_committed_changes: false
% 3.65/1.18
% 3.65/1.18 % ------ Parsing...
% 3.65/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.65/1.18
% 3.65/1.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.65/1.18
% 3.65/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.65/1.18
% 3.65/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.65/1.18 % ------ Proving...
% 3.65/1.18 % ------ Problem Properties
% 3.65/1.18
% 3.65/1.18 %
% 3.65/1.18 % clauses 65
% 3.65/1.18 % conjectures 6
% 3.65/1.18 % EPR 29
% 3.65/1.18 % Horn 60
% 3.65/1.18 % unary 27
% 3.65/1.18 % binary 16
% 3.65/1.18 % lits 147
% 3.65/1.18 % lits eq 14
% 3.65/1.18 % fd_pure 0
% 3.65/1.18 % fd_pseudo 0
% 3.65/1.18 % fd_cond 1
% 3.65/1.18 % fd_pseudo_cond 4
% 3.65/1.18 % AC symbols 0
% 3.65/1.18
% 3.65/1.18 % ------ Schedule dynamic 5 is on
% 3.65/1.18
% 3.65/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.65/1.18
% 3.65/1.18
% 3.65/1.18 % ------
% 3.65/1.18 % Current options:
% 3.65/1.18 % ------
% 3.65/1.18
% 3.65/1.18
% 3.65/1.18 %
% 3.65/1.18
% 3.65/1.18 % ------ Proving...
% 3.65/1.18 %
% 3.65/1.18
% 3.65/1.18 % SZS status Theorem for theBenchmark.p
% 3.65/1.18
% 3.65/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.65/1.18
% 3.65/1.18
%------------------------------------------------------------------------------