%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU044+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 : n008.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 1.25s 6.20s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 68 ( 8 unt; 2 def)
% Number of atoms : 313 ( 26 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 392 ( 147 ~; 150 |; 70 &)
% ( 13 <=>; 10 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 6 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 : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 159 ( 0 sgn 141 !; 18 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f20,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(f33,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,relation_dom(relation_rng_restriction(X0,X2)))
<=> ( in(apply(X2,X1),X0)
& in(X1,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_funct_1) ).
fof(f34,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,relation_dom(relation_rng_restriction(X0,X2)))
<=> ( in(apply(X2,X1),X0)
& in(X1,relation_dom(X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,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(f36,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,[],[f35]) ).
fof(f37,plain,
? [X0,X1,X2] :
( function(X2)
& relation(X2)
& ( in(X1,relation_dom(relation_rng_restriction(X0,X2)))
<~> ( in(apply(X2,X1),X0)
& in(X1,relation_dom(X2)) ) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f38,plain,
? [X0,X1,X2] :
( function(X2)
& relation(X2)
& ( in(X1,relation_dom(relation_rng_restriction(X0,X2)))
<~> ( in(apply(X2,X1),X0)
& in(X1,relation_dom(X2)) ) ) ),
inference(flattening,[],[f37]) ).
fof(f43,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f44,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) ) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( ~ relation(X1)
| relation(relation_rng_restriction(X0,X1)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f46,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,[],[f36]) ).
fof(f47,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,[],[f46]) ).
fof(f63,plain,
? [X0,X1,X2] :
( function(X2)
& relation(X2)
& ( in(X1,relation_dom(relation_rng_restriction(X0,X2)))
| ( in(apply(X2,X1),X0)
& in(X1,relation_dom(X2)) ) )
& ( ~ in(X1,relation_dom(relation_rng_restriction(X0,X2)))
| ~ in(apply(X2,X1),X0)
| ~ in(X1,relation_dom(X2)) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f64,plain,
? [X0,X1,X2] :
( function(X2)
& relation(X2)
& ( in(X1,relation_dom(relation_rng_restriction(X0,X2)))
| ( in(apply(X2,X1),X0)
& in(X1,relation_dom(X2)) ) )
& ( ~ in(X1,relation_dom(relation_rng_restriction(X0,X2)))
| ~ in(apply(X2,X1),X0)
| ~ in(X1,relation_dom(X2)) ) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
( function(sK4)
& relation(sK4)
& ( in(sK3,relation_dom(relation_rng_restriction(sK2,sK4)))
| ( in(apply(sK4,sK3),sK2)
& in(sK3,relation_dom(sK4)) ) )
& ( ~ in(sK3,relation_dom(relation_rng_restriction(sK2,sK4)))
| ~ in(apply(sK4,sK3),sK2)
| ~ in(sK3,relation_dom(sK4)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f64]) ).
fof(f68,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,[],[f61]) ).
fof(f69,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,[],[f68]) ).
fof(f81,plain,
function(sK4),
inference(cnf_transformation,[],[f65]) ).
fof(f82,plain,
relation(sK4),
inference(cnf_transformation,[],[f65]) ).
fof(f83,plain,
( in(sK3,relation_dom(relation_rng_restriction(sK2,sK4)))
| in(apply(sK4,sK3),sK2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f84,plain,
( in(sK3,relation_dom(relation_rng_restriction(sK2,sK4)))
| in(sK3,relation_dom(sK4)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f85,plain,
( ~ in(sK3,relation_dom(relation_rng_restriction(sK2,sK4)))
| ~ in(apply(sK4,sK3),sK2)
| ~ in(sK3,relation_dom(sK4)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f94,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| function(relation_rng_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f95,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| relation(relation_rng_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f96,plain,
! [X0,X1] :
( ~ relation(X1)
| relation(relation_rng_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| relation_rng_restriction(X1,X2) != X0
| sP0(X2,X1,X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| sP1(X1,X0,X2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f135,plain,
! [X2,X1] :
( ~ sP1(relation_rng_restriction(X1,X2),X1,X2)
| sP0(X2,X1,relation_rng_restriction(X1,X2)) ),
inference(equality_resolution,[],[f97]) ).
tcf(c_49,negated_conjecture,
( ~ in(sK3,relation_dom(sK4))
| ~ in(apply(sK4,sK3),sK2)
| ~ in(sK3,relation_dom(relation_rng_restriction(sK2,sK4))) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_50,negated_conjecture,
( in(sK3,relation_dom(sK4))
| in(sK3,relation_dom(relation_rng_restriction(sK2,sK4))) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_51,negated_conjecture,
( in(apply(sK4,sK3),sK2)
| in(sK3,relation_dom(relation_rng_restriction(sK2,sK4))) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_52,negated_conjecture,
relation(sK4),
inference(cnf_transformation,[],[f82]) ).
tcf(c_53,negated_conjecture,
function(sK4),
inference(cnf_transformation,[],[f81]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( relation(relation_rng_restriction(X1,X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( function(relation_rng_restriction(X1,X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( sP0(X1,X0,relation_rng_restriction(X0,X1))
| ~ sP1(relation_rng_restriction(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0,X2,X1)
| ~ function(X1)
| ~ function(X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(global_subsumption_just,[status(thm)],[c_62,c_64]) ).
tcf(c_587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X1,X0,relation_rng_restriction(X0,X1))
| ~ function(X4)
| ~ function(X2)
| ~ relation(X4)
| ~ relation(X2)
| ( X1 != X4 )
| ( X0 != X3 )
| ( relation_rng_restriction(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_66,c_77]) ).
tcf(c_588,plain,
! [X0: $i,X1: $i] :
( sP0(X1,X0,relation_rng_restriction(X0,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(relation_rng_restriction(X0,X1))
| ~ relation(relation_rng_restriction(X0,X1)) ),
inference(unflattening,[status(thm)],[c_587]) ).
tcf(c_600,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,relation_rng_restriction(X1,X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_588,c_63,c_131]) ).
fof(f60,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(f61,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(f62,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| sP1(X1,X0,X2) ) ),
inference(definition_folding,[],[f47,f61,f60]) ).
fof(f70,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,[],[f60]) ).
fof(f71,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,[],[f70]) ).
fof(f72,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,[],[f71]) ).
fof(f73,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(sK8(X0,X2),relation_dom(X2))
& apply(X2,sK8(X0,X2)) != apply(X0,sK8(X0,X2)) )
| ( ( in(sK7(X0,X1,X2),relation_dom(X2))
| ( in(apply(X0,sK7(X0,X1,X2)),X1)
& in(sK7(X0,X1,X2),relation_dom(X0)) ) )
& ( ~ in(sK7(X0,X1,X2),relation_dom(X2))
| ~ in(apply(X0,sK7(X0,X1,X2)),X1)
| ~ in(sK7(X0,X1,X2),relation_dom(X0)) ) )
| sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X3,sK7(X0,X1,X2)),skolemize(X4,sK8(X0,X2))],[f72]) ).
fof(f100,plain,
! [X2,X0,X1,X5] :
( ~ sP0(X0,X1,X2)
| ~ in(X5,relation_dom(X2))
| in(apply(X0,X5),X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f101,plain,
! [X2,X0,X1,X5] :
( ~ sP0(X0,X1,X2)
| ~ in(X5,relation_dom(X2))
| in(X5,relation_dom(X0)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f102,plain,
! [X2,X0,X1,X5] :
( ~ sP0(X0,X1,X2)
| ~ in(apply(X0,X5),X1)
| ~ in(X5,relation_dom(X0))
| in(X5,relation_dom(X2)) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(X1,relation_dom(X3))
| ~ in(X1,relation_dom(X0))
| ~ sP0(X0,X2,X3)
| ~ in(apply(X0,X1),X2) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_74,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,[],[f101]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X2))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_4699,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(apply(X2,X0),X1)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X0,relation_dom(relation_rng_restriction(X1,X2))) ),
inference(superposition,[status(thm)],[c_600,c_75]) ).
tcf(c_4700,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,relation_dom(X2))
| ~ function(X2)
| ~ relation(X2)
| ~ in(X0,relation_dom(relation_rng_restriction(X1,X2))) ),
inference(superposition,[status(thm)],[c_600,c_74]) ).
tcf(c_5162,plain,
( in(apply(sK4,sK3),sK2)
| ~ function(sK4)
| ~ relation(sK4) ),
inference(superposition,[status(thm)],[c_51,c_4699]) ).
tcf(c_5173,plain,
in(apply(sK4,sK3),sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_5162,c_53,c_52]) ).
tcf(c_5218,plain,
( ~ in(sK3,relation_dom(sK4))
| ~ in(sK3,relation_dom(relation_rng_restriction(sK2,sK4))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_49,c_5173]) ).
tcf(c_5241,plain,
! [X0: $i] :
( in(sK3,relation_dom(X0))
| ~ in(sK3,relation_dom(sK4))
| ~ sP0(sK4,sK2,X0) ),
inference(superposition,[status(thm)],[c_5173,c_73]) ).
tcf(c_5810,plain,
( in(sK3,relation_dom(sK4))
| ~ function(sK4)
| ~ relation(sK4) ),
inference(superposition,[status(thm)],[c_50,c_4700]) ).
tcf(c_5821,plain,
in(sK3,relation_dom(sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_5810,c_53,c_52]) ).
tcf(c_5870,plain,
! [X0: $i] :
( in(sK3,relation_dom(X0))
| ~ sP0(sK4,sK2,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_5241,c_5821]) ).
tcf(c_5871,plain,
~ in(sK3,relation_dom(relation_rng_restriction(sK2,sK4))),
inference(backward_subsumption_resolution,[status(thm)],[c_5218,c_5821]) ).
tcf(c_5920,plain,
( in(sK3,relation_dom(relation_rng_restriction(sK2,sK4)))
| ~ function(sK4)
| ~ relation(sK4) ),
inference(superposition,[status(thm)],[c_600,c_5870]) ).
tcf(c_5923,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5920,c_5871,c_53,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU044+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.38 % Computer : n008.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Thu Sep 24 12:38:19 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 1.25/6.20 % SZS status Started for theBenchmark.p
% 1.25/6.20 % SZS status Theorem for theBenchmark.p
% 1.25/6.20
% 1.25/6.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.25/6.20
% 1.25/6.20 % ------ iProver source info
% 1.25/6.20
% 1.25/6.20 % git: date: 2026-07-19 20:42:38 +0200
% 1.25/6.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.25/6.20 % git: non_committed_changes: false
% 1.25/6.20
% 1.25/6.20 % ------ Parsing...
% 1.25/6.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.25/6.20
% 1.25/6.20 % ------ 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 %
% 1.25/6.20
% 1.25/6.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.25/6.20
% 1.25/6.20 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.25/6.20 % ------ Proving...
% 1.25/6.20 % ------ Problem Properties
% 1.25/6.20
% 1.25/6.20 %
% 1.25/6.20 % clauses 51
% 1.25/6.20 % conjectures 5
% 1.25/6.20 % EPR 23
% 1.25/6.20 % Horn 42
% 1.25/6.20 % unary 19
% 1.25/6.20 % binary 13
% 1.25/6.20 % lits 114
% 1.25/6.20 % lits eq 7
% 1.25/6.20 % fd_pure 0
% 1.25/6.20 % fd_pseudo 0
% 1.25/6.20 % fd_cond 1
% 1.25/6.20 % fd_pseudo_cond 2
% 1.25/6.20 % AC symbols 0
% 1.25/6.20
% 1.25/6.20 % ------ Schedule dynamic 5 is on
% 1.25/6.20
% 1.25/6.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.25/6.20
% 1.25/6.20
% 1.25/6.20 % ------
% 1.25/6.20 % Current options:
% 1.25/6.20 % ------
% 1.25/6.20
% 1.25/6.20
% 1.25/6.20 %
% 1.25/6.20
% 1.25/6.20 % ------ Proving...
% 1.25/6.20 %
% 1.25/6.20
% 1.25/6.20 % SZS status Theorem for theBenchmark.p
% 1.25/6.20
% 1.25/6.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.25/6.20
%------------------------------------------------------------------------------