%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU292+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 : n009.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 02:56:30 PM UTC 2026
% Result : Theorem 3.31s 1.19s
% Output : CNFRefutation 3.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 12
% Syntax : Number of formulae : 94 ( 38 unt; 5 def)
% Number of atoms : 288 ( 92 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 272 ( 104 ~; 106 |; 39 &)
% ( 7 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 14 ( 12 usr; 6 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 143 ( 0 sgn 133 !; 10 ?; 57 :)
% 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(f16,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(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(f48,conjecture,
! [X0,X1,X2,X3] :
( ( relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1)
& function(X3) )
=> ! [X4] :
( ( function(X4)
& relation(X4) )
=> ( in(X2,X0)
=> ( apply(relation_composition(X3,X4),X2) = apply(X4,apply(X3,X2))
| X1 = empty_set ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_2) ).
fof(f49,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1)
& function(X3) )
=> ! [X4] :
( ( function(X4)
& relation(X4) )
=> ( in(X2,X0)
=> ( apply(relation_composition(X3,X4),X2) = apply(X4,apply(X3,X2))
| X1 = empty_set ) ) ) ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f50,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(ennf_transformation,[],[f4]) ).
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(ennf_transformation,[],[f6]) ).
fof(f73,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,[],[f72]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ relation_of2_as_subset(X2,X0,X1)
| element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f16]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ relation_of2(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
inference(ennf_transformation,[],[f44]) ).
fof(f92,plain,
? [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1)
& function(X3)
& ? [X4] :
( function(X4)
& relation(X4)
& in(X2,X0)
& apply(relation_composition(X3,X4),X2) != apply(X4,apply(X3,X2))
& empty_set != X1 ) ),
inference(ennf_transformation,[],[f49]) ).
fof(f93,plain,
? [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1)
& function(X3)
& ? [X4] :
( function(X4)
& relation(X4)
& in(X2,X0)
& apply(relation_composition(X3,X4),X2) != apply(X4,apply(X3,X2))
& empty_set != X1 ) ),
inference(flattening,[],[f92]) ).
fof(f94,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ~ in(X0,relation_dom(X1))
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f95,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ~ in(X0,relation_dom(X1))
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ),
inference(flattening,[],[f94]) ).
fof(f105,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,[],[f73]) ).
fof(f123,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(f124,plain,
( relation_of2_as_subset(sK20,sK17,sK18)
& quasi_total(sK20,sK17,sK18)
& function(sK20)
& function(sK21)
& relation(sK21)
& in(sK19,sK17)
& apply(relation_composition(sK20,sK21),sK19) != apply(sK21,apply(sK20,sK19))
& empty_set != sK18 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21]),skolemize(X0,sK17),skolemize(X1,sK18),skolemize(X2,sK19),skolemize(X3,sK20),skolemize(X4,sK21)],[f93]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f133,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,[],[f105]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(cnf_transformation,[],[f77]) ).
fof(f189,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f191,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f194,plain,
relation_of2_as_subset(sK20,sK17,sK18),
inference(cnf_transformation,[],[f124]) ).
fof(f195,plain,
quasi_total(sK20,sK17,sK18),
inference(cnf_transformation,[],[f124]) ).
fof(f196,plain,
function(sK20),
inference(cnf_transformation,[],[f124]) ).
fof(f197,plain,
function(sK21),
inference(cnf_transformation,[],[f124]) ).
fof(f198,plain,
relation(sK21),
inference(cnf_transformation,[],[f124]) ).
fof(f199,plain,
in(sK19,sK17),
inference(cnf_transformation,[],[f124]) ).
fof(f200,plain,
apply(relation_composition(sK20,sK21),sK19) != apply(sK21,apply(sK20,sK19)),
inference(cnf_transformation,[],[f124]) ).
fof(f201,plain,
empty_set != sK18,
inference(cnf_transformation,[],[f124]) ).
fof(f202,plain,
! [X2,X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X0,relation_dom(X1))
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation(X0)
| ~ element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(cnf_transformation,[],[f128]) ).
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,[],[f133]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( element(X0,powerset(cartesian_product2(X1,X2)))
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_111,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,[],[f189]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2_as_subset(X0,X1,X2)
| ~ relation_of2(X0,X1,X2) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_116,negated_conjecture,
empty_set != sK18,
inference(cnf_transformation,[],[f201]) ).
tcf(c_117,negated_conjecture,
apply(relation_composition(sK20,sK21),sK19) != apply(sK21,apply(sK20,sK19)),
inference(cnf_transformation,[],[f200]) ).
tcf(c_118,negated_conjecture,
in(sK19,sK17),
inference(cnf_transformation,[],[f199]) ).
tcf(c_119,negated_conjecture,
relation(sK21),
inference(cnf_transformation,[],[f198]) ).
tcf(c_120,negated_conjecture,
function(sK21),
inference(cnf_transformation,[],[f197]) ).
tcf(c_121,negated_conjecture,
function(sK20),
inference(cnf_transformation,[],[f196]) ).
tcf(c_122,negated_conjecture,
quasi_total(sK20,sK17,sK18),
inference(cnf_transformation,[],[f195]) ).
tcf(c_123,negated_conjecture,
relation_of2_as_subset(sK20,sK17,sK18),
inference(cnf_transformation,[],[f194]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) )
| ~ relation(X2)
| ~ relation(X1)
| ~ function(X2)
| ~ function(X1)
| ~ in(X0,relation_dom(X1)) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_171,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_113]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_171]) ).
tcf(c_173,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_112]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ relation_of2(X0,X1,X2)
| element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(prop_impl_just,[status(thm)],[c_112,c_61]) ).
tcf(c_202,plain,
! [X0: $i,X1: $i,X2: $i] :
( element(X0,powerset(cartesian_product2(X1,X2)))
| ~ relation_of2(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_201]) ).
tcf(c_342,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_173]) ).
tcf(c_1153,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2(X0,X1,X2)
| ( X2 != sK18 )
| ( X1 != sK17 )
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_172,c_123]) ).
tcf(c_1154,plain,
relation_of2(sK20,sK17,sK18),
inference(unflattening,[status(thm)],[c_1153]) ).
tcf(c_1270,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = empty_set )
| ( relation_dom_as_subset(X1,X2,X0) = X1 )
| ~ relation_of2(X0,X1,X2)
| ( X2 != sK18 )
| ( X1 != sK17 )
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_342,c_122]) ).
tcf(c_1271,plain,
( ( sK18 = empty_set )
| ( relation_dom_as_subset(sK17,sK18,sK20) = sK17 )
| ~ relation_of2(sK20,sK17,sK18) ),
inference(unflattening,[status(thm)],[c_1270]) ).
tcf(c_1272,plain,
( ( sK18 = empty_set )
| ( relation_dom_as_subset(sK17,sK18,sK20) = sK17 ) ),
inference(global_subsumption_just,[status(thm)],[c_1271,c_1154,c_1271]) ).
tcf(c_1423,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2(X0,X1,X2)
| ( X2 != sK18 )
| ( X1 != sK17 )
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_172,c_123]) ).
tcf(c_1424,plain,
relation_of2(sK20,sK17,sK18),
inference(unflattening,[status(thm)],[c_1423]) ).
tcf(c_2631,definition,
iPr_def_11 = relation_dom_as_subset(sK17,sK18,sK20),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2632,definition,
iPr_def_12 = relation_composition(sK20,sK21),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2633,definition,
iPr_def_13 = apply(iPr_def_12,sK19),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2634,definition,
iPr_def_14 = apply(sK20,sK19),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_2635,definition,
iPr_def_15 = apply(sK21,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_2637,plain,
( ( iPr_def_11 = sK17 )
| ( sK18 = empty_set ) ),
inference(demodulation,[status(thm)],[c_1272,c_2631]) ).
tcf(c_2638,plain,
relation_of2(sK20,sK17,sK18),
inference(demodulation,[status(thm)],[c_1424]) ).
tcf(c_2639,negated_conjecture,
function(sK20),
inference(demodulation,[status(thm)],[c_121]) ).
tcf(c_2640,negated_conjecture,
function(sK21),
inference(demodulation,[status(thm)],[c_120]) ).
tcf(c_2641,negated_conjecture,
relation(sK21),
inference(demodulation,[status(thm)],[c_119]) ).
tcf(c_2642,negated_conjecture,
in(sK19,sK17),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_2643,negated_conjecture,
iPr_def_13 != iPr_def_15,
inference(demodulation,[status(thm)],[c_117,c_2634,c_2635,c_2632,c_2633]) ).
tcf(c_2644,negated_conjecture,
empty_set != sK18,
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_3346,plain,
( relation_of2(sK20,iPr_def_11,sK18)
| ( empty_set = sK18 ) ),
inference(superposition,[status(thm)],[c_2637,c_2638]) ).
tcf(c_3347,plain,
( in(sK19,iPr_def_11)
| ( empty_set = sK18 ) ),
inference(superposition,[status(thm)],[c_2637,c_2642]) ).
tcf(c_3348,plain,
in(sK19,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_3347,c_2644]) ).
tcf(c_3349,plain,
relation_of2(sK20,iPr_def_11,sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_3346,c_2644]) ).
tcf(c_3466,plain,
( ( empty_set = sK18 )
| ( relation_dom_as_subset(iPr_def_11,sK18,sK20) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_2637,c_2631]) ).
tcf(c_3467,plain,
relation_dom_as_subset(iPr_def_11,sK18,sK20) = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_3466,c_2644]) ).
tcf(c_3845,plain,
relation_dom_as_subset(iPr_def_11,sK18,sK20) = relation_dom(sK20),
inference(superposition,[status(thm)],[c_3349,c_111]) ).
tcf(c_3846,plain,
relation_dom(sK20) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_3845,c_3467]) ).
tcf(c_3896,plain,
! [X0: $i,X1: $i] :
( ( apply(relation_composition(sK20,X1),X0) = apply(X1,apply(sK20,X0)) )
| ~ relation(sK20)
| ~ function(sK20)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_3846,c_124]) ).
tcf(c_3902,plain,
! [X0: $i,X1: $i] :
( ( apply(relation_composition(sK20,X1),X0) = apply(X1,apply(sK20,X0)) )
| ~ relation(sK20)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3896,c_2639]) ).
tcf(c_3928,plain,
! [X0: $i] :
( ( apply(relation_composition(sK20,X0),sK19) = apply(X0,apply(sK20,sK19)) )
| ~ relation(sK20)
| ~ relation(X0)
| ~ function(X0) ),
inference(superposition,[status(thm)],[c_3348,c_3902]) ).
tcf(c_3931,plain,
! [X0: $i] :
( ( apply(relation_composition(sK20,X0),sK19) = apply(X0,iPr_def_14) )
| ~ relation(sK20)
| ~ relation(X0)
| ~ function(X0) ),
inference(light_normalisation,[status(thm)],[c_3928,c_2634]) ).
tcf(c_4023,plain,
( ( apply(relation_composition(sK20,sK21),sK19) = apply(sK21,iPr_def_14) )
| ~ relation(sK21)
| ~ relation(sK20) ),
inference(superposition,[status(thm)],[c_2640,c_3931]) ).
tcf(c_4032,plain,
( ( iPr_def_13 = iPr_def_15 )
| ~ relation(sK21)
| ~ relation(sK20) ),
inference(light_normalisation,[status(thm)],[c_4023,c_2632,c_2633,c_2635]) ).
tcf(c_4033,plain,
~ relation(sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_4032,c_2643,c_2641]) ).
tcf(c_5990,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation(X0)
| ~ relation_of2(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_202,c_52]) ).
tcf(c_6015,plain,
relation(sK20),
inference(superposition,[status(thm)],[c_2638,c_5990]) ).
tcf(c_6018,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6015,c_4033]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU292+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n009.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 : Thu Sep 24 13:33:59 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 3.31/1.19 % SZS status Started for theBenchmark.p
% 3.31/1.19 % SZS status Theorem for theBenchmark.p
% 3.31/1.19
% 3.31/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.31/1.19
% 3.31/1.19 % ------ iProver source info
% 3.31/1.19
% 3.31/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 3.31/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.31/1.19 % git: non_committed_changes: false
% 3.31/1.19
% 3.31/1.19 % ------ Parsing...
% 3.31/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.31/1.19
% 3.31/1.19 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 3.31/1.19
% 3.31/1.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.31/1.19
% 3.31/1.19 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.31/1.19 % ------ Proving...
% 3.31/1.19 % ------ Problem Properties
% 3.31/1.19
% 3.31/1.19 %
% 3.31/1.19 % clauses 79
% 3.31/1.19 % conjectures 6
% 3.31/1.19 % EPR 38
% 3.31/1.19 % Horn 73
% 3.31/1.19 % unary 48
% 3.31/1.19 % binary 18
% 3.31/1.19 % lits 128
% 3.31/1.19 % lits eq 21
% 3.31/1.19 % fd_pure 0
% 3.31/1.19 % fd_pseudo 0
% 3.31/1.19 % fd_cond 2
% 3.31/1.19 % fd_pseudo_cond 1
% 3.31/1.19 % AC symbols 0
% 3.31/1.19
% 3.31/1.19 % ------ Schedule dynamic 5 is on
% 3.31/1.19
% 3.31/1.19 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.31/1.19
% 3.31/1.19
% 3.31/1.19 % ------
% 3.31/1.19 % Current options:
% 3.31/1.19 % ------
% 3.31/1.19
% 3.31/1.19
% 3.31/1.19 %
% 3.31/1.19
% 3.31/1.19 % ------ Proving...
% 3.31/1.19 %
% 3.31/1.19
% 3.31/1.19 % SZS status Theorem for theBenchmark.p
% 3.31/1.19
% 3.31/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.31/1.19
% 3.31/1.19
%------------------------------------------------------------------------------