%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU290+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 02:56:29 PM UTC 2026
% Result : Theorem 1.07s 1.08s
% Output : CNFRefutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 83 ( 21 unt; 0 def)
% Number of atoms : 286 ( 105 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 329 ( 126 ~; 128 |; 49 &)
% ( 13 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 170 ( 0 sgn 153 !; 17 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f6,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( ( X1 = empty_set
=> ( ( quasi_total(X2,X0,X1)
<=> X2 = empty_set )
| X0 = empty_set ) )
& ( ( X1 = empty_set
=> X0 = empty_set )
=> ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_funct_2) ).
fof(f7,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(f17,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f24,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f44,axiom,
! [X0,X1,X2] :
( relation_of2(X2,X0,X1)
=> relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f45,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f52,axiom,
! [X0] :
( empty(X0)
=> X0 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f53,conjecture,
! [X0,X1,X2,X3] :
( ( relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1)
& function(X3) )
=> ( in(X2,X0)
=> ( in(apply(X3,X2),relation_rng(X3))
| X1 = empty_set ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_funct_2) ).
fof(f54,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1)
& function(X3) )
=> ( in(X2,X0)
=> ( in(apply(X3,X2),relation_rng(X3))
| X1 = empty_set ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ~ relation_of2_as_subset(X2,X0,X1)
| ( ( empty_set != X1
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set )
| X0 = empty_set )
& ( ( X1 = empty_set
& empty_set != X0 )
| ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ relation_of2_as_subset(X2,X0,X1)
| ( ( empty_set != X1
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set )
| X0 = empty_set )
& ( ( X1 = empty_set
& empty_set != X0 )
| ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) ) ) ) ),
inference(flattening,[],[f71]) ).
fof(f73,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,[],[f7]) ).
fof(f74,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,[],[f73]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ~ relation_of2_as_subset(X2,X0,X1)
| element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f17]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ~ relation_of2(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
inference(ennf_transformation,[],[f44]) ).
fof(f94,plain,
! [X0] :
( ~ empty(X0)
| X0 = empty_set ),
inference(ennf_transformation,[],[f52]) ).
fof(f95,plain,
? [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1)
& function(X3)
& in(X2,X0)
& ~ in(apply(X3,X2),relation_rng(X3))
& empty_set != X1 ),
inference(ennf_transformation,[],[f54]) ).
fof(f96,plain,
? [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1)
& function(X3)
& in(X2,X0)
& ~ in(apply(X3,X2),relation_rng(X3))
& empty_set != X1 ),
inference(flattening,[],[f95]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ relation_of2_as_subset(X2,X0,X1)
| ( ( empty_set != X1
| ( ( ~ quasi_total(X2,X0,X1)
| X2 = empty_set )
& ( empty_set != X2
| quasi_total(X2,X0,X1) ) )
| X0 = empty_set )
& ( ( X1 = empty_set
& empty_set != X0 )
| ( ( ~ quasi_total(X2,X0,X1)
| X0 = relation_dom_as_subset(X0,X1,X2) )
& ( relation_dom_as_subset(X0,X1,X2) != X0
| quasi_total(X2,X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f100,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,[],[f74]) ).
fof(f101,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,[],[f100]) ).
fof(f102,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| ( apply(X0,sK2(X0,X5)) = X5
& in(sK2(X0,X5),relation_dom(X0)) ) )
& ( ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) )
| in(X5,X1) ) ) )
& ( ( ( in(sK0(X0,X1),X1)
| ( sK0(X0,X1) = apply(X0,sK1(X0,X1))
& in(sK1(X0,X1),relation_dom(X0)) ) )
& ( ~ in(sK0(X0,X1),X1)
| ! [X3] :
( apply(X0,X3) != sK0(X0,X1)
| ~ in(X3,relation_dom(X0)) ) ) )
| X1 = relation_rng(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X2,sK0(X0,X1)),skolemize(X4,sK1(X0,X1)),skolemize(X7,sK2(X0,X5))],[f101]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) )
& ( ~ relation_of2(X2,X0,X1)
| relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f121,plain,
( relation_of2_as_subset(sK23,sK20,sK21)
& quasi_total(sK23,sK20,sK21)
& function(sK23)
& in(sK22,sK20)
& ~ in(apply(sK23,sK22),relation_rng(sK23))
& empty_set != sK21 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23)],[f96]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| empty_set = X1
| ~ quasi_total(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = X0 ),
inference(cnf_transformation,[],[f99]) ).
fof(f136,plain,
! [X0,X1,X6,X5] :
( ~ function(X0)
| ~ relation(X0)
| relation_rng(X0) != X1
| apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0))
| in(X5,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(cnf_transformation,[],[f76]) ).
fof(f150,plain,
empty(empty_set),
inference(cnf_transformation,[],[f24]) ).
fof(f188,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f189,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f197,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f94]) ).
fof(f198,plain,
relation_of2_as_subset(sK23,sK20,sK21),
inference(cnf_transformation,[],[f121]) ).
fof(f199,plain,
quasi_total(sK23,sK20,sK21),
inference(cnf_transformation,[],[f121]) ).
fof(f200,plain,
function(sK23),
inference(cnf_transformation,[],[f121]) ).
fof(f201,plain,
in(sK22,sK20),
inference(cnf_transformation,[],[f121]) ).
fof(f202,plain,
~ in(apply(sK23,sK22),relation_rng(sK23)),
inference(cnf_transformation,[],[f121]) ).
fof(f203,plain,
empty_set != sK21,
inference(cnf_transformation,[],[f121]) ).
fof(f211,plain,
! [X0,X1,X6] :
( ~ function(X0)
| ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(X6,relation_dom(X0))
| in(apply(X0,X6),X1) ),
inference(equality_resolution,[],[f136]) ).
fof(f212,plain,
! [X0,X6] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X6,relation_dom(X0))
| in(apply(X0,X6),relation_rng(X0)) ),
inference(equality_resolution,[],[f211]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation(X0)
| ~ element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = empty_set )
| ( relation_dom_as_subset(X1,X2,X0) = X1 )
| ~ relation_of2_as_subset(X0,X1,X2)
| ~ quasi_total(X0,X1,X2) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( in(apply(X1,X0),relation_rng(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_dom(X1)) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( element(X0,powerset(cartesian_product2(X1,X2)))
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_74,plain,
empty(empty_set),
inference(cnf_transformation,[],[f150]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation_dom_as_subset(X1,X2,X0) = relation_dom(X0) )
| ~ relation_of2(X0,X1,X2) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2_as_subset(X0,X1,X2)
| ~ relation_of2(X0,X1,X2) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_122,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ empty(X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_123,negated_conjecture,
empty_set != sK21,
inference(cnf_transformation,[],[f203]) ).
tcf(c_124,negated_conjecture,
~ in(apply(sK23,sK22),relation_rng(sK23)),
inference(cnf_transformation,[],[f202]) ).
tcf(c_125,negated_conjecture,
in(sK22,sK20),
inference(cnf_transformation,[],[f201]) ).
tcf(c_126,negated_conjecture,
function(sK23),
inference(cnf_transformation,[],[f200]) ).
tcf(c_127,negated_conjecture,
quasi_total(sK23,sK20,sK21),
inference(cnf_transformation,[],[f199]) ).
tcf(c_128,negated_conjecture,
relation_of2_as_subset(sK23,sK20,sK21),
inference(cnf_transformation,[],[f198]) ).
tcf(c_151,plain,
( ( empty_set = empty_set )
| ~ empty(empty_set) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation_of2(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_115]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_170]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2_as_subset(X0,X1,X2)
| ~ relation_of2(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_114]) ).
tcf(c_216,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ relation_of2(X0,X1,X2)
| relation(X0) ),
inference(prop_impl_just,[status(thm)],[c_114,c_52,c_66]) ).
tcf(c_217,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation(X0)
| ~ relation_of2(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_216]) ).
tcf(c_304,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = empty_set )
| ( relation_dom_as_subset(X1,X2,X0) = X1 )
| ~ relation_of2(X0,X1,X2)
| ~ quasi_total(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_56,c_172]) ).
tcf(c_653,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2(X0,X1,X2)
| ( X2 != sK21 )
| ( X1 != sK20 )
| ( X0 != sK23 ) ),
inference(resolution_lifted,[status(thm)],[c_171,c_128]) ).
tcf(c_654,plain,
relation_of2(sK23,sK20,sK21),
inference(unflattening,[status(thm)],[c_653]) ).
tcf(c_770,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = empty_set )
| ( relation_dom_as_subset(X1,X2,X0) = X1 )
| ~ relation_of2(X0,X1,X2)
| ( X2 != sK21 )
| ( X1 != sK20 )
| ( X0 != sK23 ) ),
inference(resolution_lifted,[status(thm)],[c_304,c_127]) ).
tcf(c_771,plain,
( ( sK21 = empty_set )
| ( relation_dom_as_subset(sK20,sK21,sK23) = sK20 )
| ~ relation_of2(sK23,sK20,sK21) ),
inference(unflattening,[status(thm)],[c_770]) ).
tcf(c_772,plain,
( ( sK21 = empty_set )
| ( relation_dom_as_subset(sK20,sK21,sK23) = sK20 ) ),
inference(global_subsumption_just,[status(thm)],[c_771,c_654,c_771]) ).
tcf(c_815,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2(X0,X1,X2)
| ( X2 != sK21 )
| ( X1 != sK20 )
| ( X0 != sK23 ) ),
inference(resolution_lifted,[status(thm)],[c_171,c_128]) ).
tcf(c_816,plain,
relation_of2(sK23,sK20,sK21),
inference(unflattening,[status(thm)],[c_815]) ).
tcf(c_979,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation(X0)
| ( X2 != sK21 )
| ( X1 != sK20 )
| ( X0 != sK23 ) ),
inference(resolution_lifted,[status(thm)],[c_217,c_816]) ).
tcf(c_980,plain,
relation(sK23),
inference(unflattening,[status(thm)],[c_979]) ).
tcf(c_5008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_5224,plain,
! [X0: $i] :
( ( empty_set = sK21 )
| ( sK21 != X0 )
| ( empty_set != X0 ) ),
inference(instantiation,[status(thm)],[c_5008]) ).
tcf(c_5225,plain,
( ( empty_set = sK21 )
| ( sK21 != empty_set )
| ( empty_set != empty_set ) ),
inference(instantiation,[status(thm)],[c_5224]) ).
tcf(c_5651,plain,
relation_dom_as_subset(sK20,sK21,sK23) = sK20,
inference(global_subsumption_just,[status(thm)],[c_772,c_74,c_123,c_151,c_772,c_5225]) ).
tcf(c_5850,plain,
relation_dom_as_subset(sK20,sK21,sK23) = relation_dom(sK23),
inference(superposition,[status(thm)],[c_816,c_113]) ).
tcf(c_5851,plain,
relation_dom(sK23) = sK20,
inference(demodulation,[status(thm)],[c_5850,c_5651]) ).
tcf(c_5906,plain,
( ~ relation(sK23)
| ~ function(sK23)
| ~ in(sK22,relation_dom(sK23)) ),
inference(superposition,[status(thm)],[c_62,c_124]) ).
tcf(c_5913,plain,
( ~ relation(sK23)
| ~ function(sK23)
| ~ in(sK22,sK20) ),
inference(demodulation,[status(thm)],[c_5906,c_5851]) ).
tcf(c_5949,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5913,c_980,c_125,c_126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU290+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 13:33:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 1.07/1.08 % SZS status Started for theBenchmark.p
% 1.07/1.08 % SZS status Theorem for theBenchmark.p
% 1.07/1.08
% 1.07/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.07/1.08
% 1.07/1.08 % ------ iProver source info
% 1.07/1.08
% 1.07/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 1.07/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.07/1.08 % git: non_committed_changes: false
% 1.07/1.08
% 1.07/1.08 % ------ Parsing...
% 1.07/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.07/1.08
% 1.07/1.08 % ------ Preprocessing... sup_sim: 0 pe_s pe:1:0s pe:2:0s pe_e %
% 1.07/1.08
% 1.07/1.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 1 0s scvd_e snvd_s sp: 0 0s snvd_e %
% 1.07/1.08
% 1.07/1.08 % ------ Preprocessing...
% 1.07/1.08 % ------ Proving...
% 1.07/1.08 % ------ Problem Properties
% 1.07/1.08
% 1.07/1.08 %
% 1.07/1.08 % clauses 91
% 1.07/1.08 % conjectures 4
% 1.07/1.08 % EPR 35
% 1.07/1.08 % Horn 76
% 1.07/1.08 % unary 40
% 1.07/1.08 % binary 35
% 1.07/1.08 % lits 169
% 1.07/1.08 % lits eq 28
% 1.07/1.08 % fd_pure 0
% 1.07/1.08 % fd_pseudo 0
% 1.07/1.08 % fd_cond 4
% 1.07/1.08 % fd_pseudo_cond 4
% 1.07/1.08 % AC symbols 0
% 1.07/1.08
% 1.07/1.08 % ------ Input Options Time Limit: Unbounded
% 1.07/1.08
% 1.07/1.08
% 1.07/1.08 % ------
% 1.07/1.08 % Current options:
% 1.07/1.08 % ------
% 1.07/1.08
% 1.07/1.08
% 1.07/1.08 %
% 1.07/1.08
% 1.07/1.08 % ------ Proving...
% 1.07/1.08 %
% 1.07/1.08
% 1.07/1.08 % SZS status Theorem for theBenchmark.p
% 1.07/1.08
% 1.07/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.07/1.09
% 1.07/1.09
%------------------------------------------------------------------------------