%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU046+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 02:55:07 PM UTC 2026
% Result : Theorem 0.91s 1.22s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 77 ( 16 unt; 7 def)
% Number of atoms : 328 ( 31 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 358 ( 135 ~; 134 |; 64 &)
% ( 13 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 : 13 ( 11 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 159 ( 0 sgn 147 !; 12 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f6,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f12,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_funct_1) ).
fof(f28,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t118_relat_1) ).
fof(f36,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( X1 = relation_rng_restriction(X0,X2)
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) )
& ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(apply(X2,X3),X0)
& in(X3,relation_dom(X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_funct_1) ).
fof(f37,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
& subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t89_funct_1) ).
fof(f38,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
& subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f41,plain,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( X1 = relation_rng_restriction(X0,X2)
<=> ( ! [X4] :
( in(X4,relation_dom(X1))
=> apply(X2,X4) = apply(X1,X4) )
& ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(apply(X2,X3),X0)
& in(X3,relation_dom(X2)) ) ) ) ) ) ),
inference(rectify,[],[f36]) ).
fof(f51,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f52,plain,
! [X0,X1] :
( ~ relation(X1)
| relation(relation_rng_restriction(X0,X1)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f53,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f54,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) ) ),
inference(flattening,[],[f53]) ).
fof(f62,plain,
! [X0,X1] :
( ~ relation(X1)
| subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f71,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( X1 = relation_rng_restriction(X0,X2)
<=> ( ! [X4] :
( ~ in(X4,relation_dom(X1))
| apply(X2,X4) = apply(X1,X4) )
& ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(apply(X2,X3),X0)
& in(X3,relation_dom(X2)) ) ) ) ) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f72,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( X1 = relation_rng_restriction(X0,X2)
<=> ( ! [X4] :
( ~ in(X4,relation_dom(X1))
| apply(X2,X4) = apply(X1,X4) )
& ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(apply(X2,X3),X0)
& in(X3,relation_dom(X2)) ) ) ) ) ) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
? [X0,X1] :
( function(X1)
& relation(X1)
& ( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
| ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f74,plain,
? [X0,X1] :
( function(X1)
& relation(X1)
& ( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
| ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ) ),
inference(flattening,[],[f73]) ).
fof(f79,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,[],[f51]) ).
fof(f80,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,[],[f79]) ).
fof(f81,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) ) )
& ( ( in(sK2(X0,X1),X0)
& ~ in(sK2(X0,X1),X1) )
| subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f80]) ).
fof(f94,plain,
! [X1,X0,X2] :
( ~ sP1(X1,X0,X2)
| ( ( relation_rng_restriction(X0,X2) != X1
| sP0(X2,X0,X1) )
& ( ~ sP0(X2,X0,X1)
| X1 = relation_rng_restriction(X0,X2) ) ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ~ sP1(X0,X1,X2)
| ( ( relation_rng_restriction(X1,X2) != X0
| sP0(X2,X1,X0) )
& ( ~ sP0(X2,X1,X0)
| relation_rng_restriction(X1,X2) = X0 ) ) ),
inference(rectify,[],[f94]) ).
fof(f100,plain,
( function(sK17)
& relation(sK17)
& ( ~ subset(relation_rng(relation_rng_restriction(sK16,sK17)),relation_rng(sK17))
| ~ subset(relation_dom(relation_rng_restriction(sK16,sK17)),relation_dom(sK17)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X0,sK16),skolemize(X1,sK17)],[f74]) ).
fof(f107,plain,
! [X0,X1] :
( in(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f108,plain,
! [X0,X1] :
( ~ in(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f109,plain,
! [X0,X1] :
( ~ relation(X1)
| relation(relation_rng_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f117,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| function(relation_rng_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f144,plain,
! [X0,X1] :
( ~ relation(X1)
| subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| relation_rng_restriction(X1,X2) != X0
| sP0(X2,X1,X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| sP1(X1,X0,X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f166,plain,
function(sK17),
inference(cnf_transformation,[],[f100]) ).
fof(f167,plain,
relation(sK17),
inference(cnf_transformation,[],[f100]) ).
fof(f168,plain,
( ~ subset(relation_rng(relation_rng_restriction(sK16,sK17)),relation_rng(sK17))
| ~ subset(relation_dom(relation_rng_restriction(sK16,sK17)),relation_dom(sK17)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f170,plain,
! [X2,X1] :
( ~ sP1(relation_rng_restriction(X1,X2),X1,X2)
| sP0(X2,X1,relation_rng_restriction(X1,X2)) ),
inference(equality_resolution,[],[f153]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| in(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( function(relation_rng_restriction(X1,X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( subset(relation_rng(relation_rng_restriction(X1,X0)),relation_rng(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( sP0(X1,X0,relation_rng_restriction(X0,X1))
| ~ sP1(relation_rng_restriction(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0,X2,X1)
| ~ relation(X1)
| ~ relation(X0)
| ~ function(X1)
| ~ function(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_112,negated_conjecture,
( ~ subset(relation_rng(relation_rng_restriction(sK16,sK17)),relation_rng(sK17))
| ~ subset(relation_dom(relation_rng_restriction(sK16,sK17)),relation_dom(sK17)) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_113,negated_conjecture,
relation(sK17),
inference(cnf_transformation,[],[f167]) ).
tcf(c_114,negated_conjecture,
function(sK17),
inference(cnf_transformation,[],[f166]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(prop_impl_just,[status(thm)],[c_55]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i] :
( sP0(X1,X0,relation_rng_restriction(X0,X1))
| ~ sP1(relation_rng_restriction(X0,X1),X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_100]) ).
tcf(c_844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X1,X0,relation_rng_restriction(X0,X1))
| ~ relation(X4)
| ~ relation(X2)
| ~ function(X4)
| ~ function(X2)
| ( X1 != X4 )
| ( X0 != X3 )
| ( relation_rng_restriction(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_201,c_111]) ).
tcf(c_845,plain,
! [X0: $i,X1: $i] :
( sP0(X1,X0,relation_rng_restriction(X0,X1))
| ~ relation(X1)
| ~ function(X1)
| ~ relation(relation_rng_restriction(X0,X1))
| ~ function(relation_rng_restriction(X0,X1)) ),
inference(unflattening,[status(thm)],[c_844]) ).
tcf(c_857,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,relation_rng_restriction(X1,X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_845,c_179,c_64]) ).
tcf(c_3538,definition,
iPr_def_10 = relation_rng_restriction(sK16,sK17),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_3539,definition,
iPr_def_11 = relation_dom(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_3540,definition,
iPr_def_12 = relation_dom(sK17),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_3541,definition,
iPr_def_13 = relation_rng(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_3542,definition,
iPr_def_14 = relation_rng(sK17),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_3543,negated_conjecture,
function(sK17),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_3544,negated_conjecture,
relation(sK17),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_3545,negated_conjecture,
( ~ subset(iPr_def_13,iPr_def_14)
| ~ subset(iPr_def_11,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_112,c_3542,c_3541,c_3540,c_3538,c_3539]) ).
tcf(c_5040,plain,
( subset(relation_rng(iPr_def_10),relation_rng(sK17))
| ~ relation(sK17) ),
inference(superposition,[status(thm)],[c_3538,c_90]) ).
tcf(c_5043,plain,
( subset(iPr_def_13,iPr_def_14)
| ~ relation(sK17) ),
inference(light_normalisation,[status(thm)],[c_5040,c_3541,c_3542]) ).
tcf(c_5044,plain,
subset(iPr_def_13,iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_5043,c_3544]) ).
tcf(c_5047,plain,
~ subset(iPr_def_11,iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_3545,c_5044]) ).
tcf(c_9318,plain,
( sP0(sK17,sK16,iPr_def_10)
| ~ relation(sK17)
| ~ function(sK17) ),
inference(superposition,[status(thm)],[c_3538,c_857]) ).
tcf(c_9323,plain,
sP0(sK17,sK16,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_9318,c_3544,c_3543]) ).
fof(f76,definition,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ( ! [X4] :
( ~ in(X4,relation_dom(X1))
| apply(X2,X4) = apply(X1,X4) )
& ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(apply(X2,X3),X0)
& in(X3,relation_dom(X2)) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f77,definition,
! [X1,X0,X2] :
( ~ sP1(X1,X0,X2)
| ( X1 = relation_rng_restriction(X0,X2)
<=> sP0(X2,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f78,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| sP1(X1,X0,X2) ) ),
inference(definition_folding,[],[f72,f77,f76]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ( ~ sP0(X2,X0,X1)
| ( ! [X4] :
( ~ in(X4,relation_dom(X1))
| apply(X2,X4) = apply(X1,X4) )
& ! [X3] :
( ( ~ in(X3,relation_dom(X1))
| ( in(apply(X2,X3),X0)
& in(X3,relation_dom(X2)) ) )
& ( ~ in(apply(X2,X3),X0)
| ~ in(X3,relation_dom(X2))
| in(X3,relation_dom(X1)) ) ) ) )
& ( ? [X4] :
( in(X4,relation_dom(X1))
& apply(X2,X4) != apply(X1,X4) )
| ? [X3] :
( ( in(X3,relation_dom(X1))
| ( in(apply(X2,X3),X0)
& in(X3,relation_dom(X2)) ) )
& ( ~ in(X3,relation_dom(X1))
| ~ in(apply(X2,X3),X0)
| ~ in(X3,relation_dom(X2)) ) )
| sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f76]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ( ~ sP0(X2,X0,X1)
| ( ! [X4] :
( ~ in(X4,relation_dom(X1))
| apply(X2,X4) = apply(X1,X4) )
& ! [X3] :
( ( ~ in(X3,relation_dom(X1))
| ( in(apply(X2,X3),X0)
& in(X3,relation_dom(X2)) ) )
& ( ~ in(apply(X2,X3),X0)
| ~ in(X3,relation_dom(X2))
| in(X3,relation_dom(X1)) ) ) ) )
& ( ? [X4] :
( in(X4,relation_dom(X1))
& apply(X2,X4) != apply(X1,X4) )
| ? [X3] :
( ( in(X3,relation_dom(X1))
| ( in(apply(X2,X3),X0)
& in(X3,relation_dom(X2)) ) )
& ( ~ in(X3,relation_dom(X1))
| ~ in(apply(X2,X3),X0)
| ~ in(X3,relation_dom(X2)) ) )
| sP0(X2,X0,X1) ) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ( ! [X6] :
( ~ in(X6,relation_dom(X2))
| apply(X0,X6) = apply(X2,X6) )
& ! [X5] :
( ( ~ in(X5,relation_dom(X2))
| ( in(apply(X0,X5),X1)
& in(X5,relation_dom(X0)) ) )
& ( ~ in(apply(X0,X5),X1)
| ~ in(X5,relation_dom(X0))
| in(X5,relation_dom(X2)) ) ) ) )
& ( ? [X4] :
( in(X4,relation_dom(X2))
& apply(X2,X4) != apply(X0,X4) )
| ? [X3] :
( ( in(X3,relation_dom(X2))
| ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) )
& ( ~ in(X3,relation_dom(X2))
| ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0)) ) )
| sP0(X0,X1,X2) ) ),
inference(rectify,[],[f97]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ( ! [X6] :
( ~ in(X6,relation_dom(X2))
| apply(X0,X6) = apply(X2,X6) )
& ! [X5] :
( ( ~ in(X5,relation_dom(X2))
| ( in(apply(X0,X5),X1)
& in(X5,relation_dom(X0)) ) )
& ( ~ in(apply(X0,X5),X1)
| ~ in(X5,relation_dom(X0))
| in(X5,relation_dom(X2)) ) ) ) )
& ( ( in(sK15(X0,X2),relation_dom(X2))
& apply(X2,sK15(X0,X2)) != apply(X0,sK15(X0,X2)) )
| ( ( in(sK14(X0,X1,X2),relation_dom(X2))
| ( in(apply(X0,sK14(X0,X1,X2)),X1)
& in(sK14(X0,X1,X2),relation_dom(X0)) ) )
& ( ~ in(sK14(X0,X1,X2),relation_dom(X2))
| ~ in(apply(X0,sK14(X0,X1,X2)),X1)
| ~ in(sK14(X0,X1,X2),relation_dom(X0)) ) )
| sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X3,sK14(X0,X1,X2)),skolemize(X4,sK15(X0,X2))],[f98]) ).
fof(f157,plain,
! [X2,X0,X1,X5] :
( ~ sP0(X0,X1,X2)
| ~ in(X5,relation_dom(X2))
| in(X5,relation_dom(X0)) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(X3,relation_dom(X0))
| ~ in(X3,relation_dom(X2))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_9345,plain,
! [X0: $i] :
( in(X0,relation_dom(sK17))
| ~ in(X0,relation_dom(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_9323,c_108]) ).
tcf(c_9346,plain,
! [X0: $i] :
( in(X0,iPr_def_12)
| ~ in(X0,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_9345,c_3539,c_3540]) ).
tcf(c_9362,plain,
! [X0: $i] :
( subset(iPr_def_11,X0)
| in(sK2(iPr_def_11,X0),iPr_def_12) ),
inference(superposition,[status(thm)],[c_53,c_9346]) ).
tcf(c_9574,plain,
subset(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_9362,c_52]) ).
tcf(c_9575,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9574,c_5047]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU046+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n004.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Thu Sep 24 12:38:08 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.45 % Proving...
% 0.91/1.22 % SZS status Started for theBenchmark.p
% 0.91/1.22 % SZS status Theorem for theBenchmark.p
% 0.91/1.22
% 0.91/1.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.91/1.22
% 0.91/1.22 % ------ iProver source info
% 0.91/1.22
% 0.91/1.22 % git: date: 2026-07-19 20:42:38 +0200
% 0.91/1.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.91/1.22 % git: non_committed_changes: false
% 0.91/1.22
% 0.91/1.22 % ------ Parsing...
% 0.91/1.22 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.91/1.22
% 0.91/1.22 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 0.91/1.22
% 0.91/1.22 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.91/1.22
% 0.91/1.22 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.91/1.22 % ------ Proving...
% 0.91/1.22 % ------ Problem Properties
% 0.91/1.22
% 0.91/1.22 %
% 0.91/1.22 % clauses 67
% 0.91/1.22 % conjectures 3
% 0.91/1.22 % EPR 31
% 0.91/1.22 % Horn 59
% 0.91/1.22 % unary 28
% 0.91/1.22 % binary 19
% 0.91/1.22 % lits 138
% 0.91/1.22 % lits eq 12
% 0.91/1.22 % fd_pure 0
% 0.91/1.22 % fd_pseudo 0
% 0.91/1.22 % fd_cond 1
% 0.91/1.22 % fd_pseudo_cond 2
% 0.91/1.22 % AC symbols 0
% 0.91/1.22
% 0.91/1.22 % ------ Schedule dynamic 5 is on
% 0.91/1.22
% 0.91/1.22 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.91/1.22
% 0.91/1.22
% 0.91/1.22 % ------
% 0.91/1.22 % Current options:
% 0.91/1.22 % ------
% 0.91/1.22
% 0.91/1.22
% 0.91/1.22 %
% 0.91/1.22
% 0.91/1.22 % ------ Proving...
% 0.91/1.22 %
% 0.91/1.22
% 0.91/1.22 % SZS status Theorem for theBenchmark.p
% 0.91/1.22
% 0.91/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.91/1.22
% 0.91/1.22
%------------------------------------------------------------------------------