TSTP Solution File: SEU044+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEU044+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 03:04:24 EDT 2024
% Result : Theorem 3.49s 1.41s
% Output : CNFRefutation 3.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% 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,[],[f33]) ).
fof(f35,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X2,X3) = apply(X1,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,plain,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X2,X3) = apply(X1,X3) )
& ! [X4] :
( in(X4,relation_dom(X1))
<=> ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) ) ) ) ) ) ),
inference(rectify,[],[f35]) ).
fof(f59,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f60,plain,
! [X0,X1] :
( ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f61,plain,
! [X0,X1] :
( ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f60]) ).
fof(f65,plain,
? [X0,X1,X2] :
( ( in(X1,relation_dom(relation_rng_restriction(X0,X2)))
<~> ( in(apply(X2,X1),X0)
& in(X1,relation_dom(X2)) ) )
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f66,plain,
? [X0,X1,X2] :
( ( in(X1,relation_dom(relation_rng_restriction(X0,X2)))
<~> ( in(apply(X2,X1),X0)
& in(X1,relation_dom(X2)) ) )
& function(X2)
& relation(X2) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( apply(X2,X3) = apply(X1,X3)
| ~ in(X3,relation_dom(X1)) )
& ! [X4] :
( in(X4,relation_dom(X1))
<=> ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) ) ) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f68,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( apply(X2,X3) = apply(X1,X3)
| ~ in(X3,relation_dom(X1)) )
& ! [X4] :
( in(X4,relation_dom(X1))
<=> ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) ) ) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X1,X2,X0] :
( sP0(X1,X2,X0)
<=> ( ! [X3] :
( apply(X2,X3) = apply(X1,X3)
| ~ in(X3,relation_dom(X1)) )
& ! [X4] :
( in(X4,relation_dom(X1))
<=> ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) ) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f70,plain,
! [X0,X2,X1] :
( ( relation_rng_restriction(X0,X2) = X1
<=> sP0(X1,X2,X0) )
| ~ sP1(X0,X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f71,plain,
! [X0,X1] :
( ! [X2] :
( sP1(X0,X2,X1)
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(definition_folding,[],[f68,f70,f69]) ).
fof(f94,plain,
? [X0,X1,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)) )
| in(X1,relation_dom(relation_rng_restriction(X0,X2))) )
& function(X2)
& relation(X2) ),
inference(nnf_transformation,[],[f66]) ).
fof(f95,plain,
? [X0,X1,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)) )
| in(X1,relation_dom(relation_rng_restriction(X0,X2))) )
& function(X2)
& relation(X2) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
( ? [X0,X1,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)) )
| in(X1,relation_dom(relation_rng_restriction(X0,X2))) )
& function(X2)
& relation(X2) )
=> ( ( ~ in(apply(sK15,sK14),sK13)
| ~ in(sK14,relation_dom(sK15))
| ~ in(sK14,relation_dom(relation_rng_restriction(sK13,sK15))) )
& ( ( in(apply(sK15,sK14),sK13)
& in(sK14,relation_dom(sK15)) )
| in(sK14,relation_dom(relation_rng_restriction(sK13,sK15))) )
& function(sK15)
& relation(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
( ( ~ in(apply(sK15,sK14),sK13)
| ~ in(sK14,relation_dom(sK15))
| ~ in(sK14,relation_dom(relation_rng_restriction(sK13,sK15))) )
& ( ( in(apply(sK15,sK14),sK13)
& in(sK14,relation_dom(sK15)) )
| in(sK14,relation_dom(relation_rng_restriction(sK13,sK15))) )
& function(sK15)
& relation(sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f95,f96]) ).
fof(f98,plain,
! [X0,X2,X1] :
( ( ( relation_rng_restriction(X0,X2) = X1
| ~ sP0(X1,X2,X0) )
& ( sP0(X1,X2,X0)
| relation_rng_restriction(X0,X2) != X1 ) )
| ~ sP1(X0,X2,X1) ),
inference(nnf_transformation,[],[f70]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( ( relation_rng_restriction(X0,X1) = X2
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f98]) ).
fof(f100,plain,
! [X1,X2,X0] :
( ( sP0(X1,X2,X0)
| ? [X3] :
( apply(X2,X3) != apply(X1,X3)
& in(X3,relation_dom(X1)) )
| ? [X4] :
( ( ~ in(apply(X2,X4),X0)
| ~ in(X4,relation_dom(X2))
| ~ in(X4,relation_dom(X1)) )
& ( ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) )
| in(X4,relation_dom(X1)) ) ) )
& ( ( ! [X3] :
( apply(X2,X3) = apply(X1,X3)
| ~ in(X3,relation_dom(X1)) )
& ! [X4] :
( ( in(X4,relation_dom(X1))
| ~ in(apply(X2,X4),X0)
| ~ in(X4,relation_dom(X2)) )
& ( ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) )
| ~ in(X4,relation_dom(X1)) ) ) )
| ~ sP0(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f101,plain,
! [X1,X2,X0] :
( ( sP0(X1,X2,X0)
| ? [X3] :
( apply(X2,X3) != apply(X1,X3)
& in(X3,relation_dom(X1)) )
| ? [X4] :
( ( ~ in(apply(X2,X4),X0)
| ~ in(X4,relation_dom(X2))
| ~ in(X4,relation_dom(X1)) )
& ( ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) )
| in(X4,relation_dom(X1)) ) ) )
& ( ( ! [X3] :
( apply(X2,X3) = apply(X1,X3)
| ~ in(X3,relation_dom(X1)) )
& ! [X4] :
( ( in(X4,relation_dom(X1))
| ~ in(apply(X2,X4),X0)
| ~ in(X4,relation_dom(X2)) )
& ( ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) )
| ~ in(X4,relation_dom(X1)) ) ) )
| ~ sP0(X1,X2,X0) ) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( apply(X1,X3) != apply(X0,X3)
& in(X3,relation_dom(X0)) )
| ? [X4] :
( ( ~ in(apply(X1,X4),X2)
| ~ in(X4,relation_dom(X1))
| ~ in(X4,relation_dom(X0)) )
& ( ( in(apply(X1,X4),X2)
& in(X4,relation_dom(X1)) )
| in(X4,relation_dom(X0)) ) ) )
& ( ( ! [X5] :
( apply(X1,X5) = apply(X0,X5)
| ~ in(X5,relation_dom(X0)) )
& ! [X6] :
( ( in(X6,relation_dom(X0))
| ~ in(apply(X1,X6),X2)
| ~ in(X6,relation_dom(X1)) )
& ( ( in(apply(X1,X6),X2)
& in(X6,relation_dom(X1)) )
| ~ in(X6,relation_dom(X0)) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f101]) ).
fof(f103,plain,
! [X0,X1] :
( ? [X3] :
( apply(X1,X3) != apply(X0,X3)
& in(X3,relation_dom(X0)) )
=> ( apply(X1,sK16(X0,X1)) != apply(X0,sK16(X0,X1))
& in(sK16(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ~ in(apply(X1,X4),X2)
| ~ in(X4,relation_dom(X1))
| ~ in(X4,relation_dom(X0)) )
& ( ( in(apply(X1,X4),X2)
& in(X4,relation_dom(X1)) )
| in(X4,relation_dom(X0)) ) )
=> ( ( ~ in(apply(X1,sK17(X0,X1,X2)),X2)
| ~ in(sK17(X0,X1,X2),relation_dom(X1))
| ~ in(sK17(X0,X1,X2),relation_dom(X0)) )
& ( ( in(apply(X1,sK17(X0,X1,X2)),X2)
& in(sK17(X0,X1,X2),relation_dom(X1)) )
| in(sK17(X0,X1,X2),relation_dom(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( apply(X1,sK16(X0,X1)) != apply(X0,sK16(X0,X1))
& in(sK16(X0,X1),relation_dom(X0)) )
| ( ( ~ in(apply(X1,sK17(X0,X1,X2)),X2)
| ~ in(sK17(X0,X1,X2),relation_dom(X1))
| ~ in(sK17(X0,X1,X2),relation_dom(X0)) )
& ( ( in(apply(X1,sK17(X0,X1,X2)),X2)
& in(sK17(X0,X1,X2),relation_dom(X1)) )
| in(sK17(X0,X1,X2),relation_dom(X0)) ) ) )
& ( ( ! [X5] :
( apply(X1,X5) = apply(X0,X5)
| ~ in(X5,relation_dom(X0)) )
& ! [X6] :
( ( in(X6,relation_dom(X0))
| ~ in(apply(X1,X6),X2)
| ~ in(X6,relation_dom(X1)) )
& ( ( in(apply(X1,X6),X2)
& in(X6,relation_dom(X1)) )
| ~ in(X6,relation_dom(X0)) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f102,f104,f103]) ).
fof(f128,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f129,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f130,plain,
! [X0,X1] :
( function(relation_rng_restriction(X0,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f151,plain,
relation(sK15),
inference(cnf_transformation,[],[f97]) ).
fof(f152,plain,
function(sK15),
inference(cnf_transformation,[],[f97]) ).
fof(f153,plain,
( in(sK14,relation_dom(sK15))
| in(sK14,relation_dom(relation_rng_restriction(sK13,sK15))) ),
inference(cnf_transformation,[],[f97]) ).
fof(f154,plain,
( in(apply(sK15,sK14),sK13)
| in(sK14,relation_dom(relation_rng_restriction(sK13,sK15))) ),
inference(cnf_transformation,[],[f97]) ).
fof(f155,plain,
( ~ in(apply(sK15,sK14),sK13)
| ~ in(sK14,relation_dom(sK15))
| ~ in(sK14,relation_dom(relation_rng_restriction(sK13,sK15))) ),
inference(cnf_transformation,[],[f97]) ).
fof(f156,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| relation_rng_restriction(X0,X1) != X2
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f158,plain,
! [X2,X0,X1,X6] :
( in(X6,relation_dom(X1))
| ~ in(X6,relation_dom(X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f159,plain,
! [X2,X0,X1,X6] :
( in(apply(X1,X6),X2)
| ~ in(X6,relation_dom(X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f160,plain,
! [X2,X0,X1,X6] :
( in(X6,relation_dom(X0))
| ~ in(apply(X1,X6),X2)
| ~ in(X6,relation_dom(X1))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f161,plain,
! [X2,X0,X1,X5] :
( apply(X1,X5) = apply(X0,X5)
| ~ in(X5,relation_dom(X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f168,plain,
! [X2,X0,X1] :
( sP1(X0,X2,X1)
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f169,plain,
! [X0,X1] :
( sP0(relation_rng_restriction(X0,X1),X1,X0)
| ~ sP1(X0,X1,relation_rng_restriction(X0,X1)) ),
inference(equality_resolution,[],[f156]) ).
cnf(c_69,plain,
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(cnf_transformation,[],[f128]) ).
cnf(c_70,plain,
( ~ relation(X0)
| ~ function(X0)
| function(relation_rng_restriction(X1,X0)) ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_71,plain,
( ~ relation(X0)
| ~ function(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_92,negated_conjecture,
( ~ in(sK14,relation_dom(relation_rng_restriction(sK13,sK15)))
| ~ in(apply(sK15,sK14),sK13)
| ~ in(sK14,relation_dom(sK15)) ),
inference(cnf_transformation,[],[f155]) ).
cnf(c_93,negated_conjecture,
( in(sK14,relation_dom(relation_rng_restriction(sK13,sK15)))
| in(apply(sK15,sK14),sK13) ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_94,negated_conjecture,
( in(sK14,relation_dom(relation_rng_restriction(sK13,sK15)))
| in(sK14,relation_dom(sK15)) ),
inference(cnf_transformation,[],[f153]) ).
cnf(c_95,negated_conjecture,
function(sK15),
inference(cnf_transformation,[],[f152]) ).
cnf(c_96,negated_conjecture,
relation(sK15),
inference(cnf_transformation,[],[f151]) ).
cnf(c_98,plain,
( ~ sP1(X0,X1,relation_rng_restriction(X0,X1))
| sP0(relation_rng_restriction(X0,X1),X1,X0) ),
inference(cnf_transformation,[],[f169]) ).
cnf(c_105,plain,
( ~ sP0(X0,X1,X2)
| ~ in(X3,relation_dom(X0))
| apply(X0,X3) = apply(X1,X3) ),
inference(cnf_transformation,[],[f161]) ).
cnf(c_106,plain,
( ~ in(apply(X0,X1),X2)
| ~ sP0(X3,X0,X2)
| ~ in(X1,relation_dom(X0))
| in(X1,relation_dom(X3)) ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_107,plain,
( ~ sP0(X0,X1,X2)
| ~ in(X3,relation_dom(X0))
| in(apply(X1,X3),X2) ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_108,plain,
( ~ sP0(X0,X1,X2)
| ~ in(X3,relation_dom(X0))
| in(X3,relation_dom(X1)) ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_109,plain,
( ~ relation(X0)
| ~ relation(X1)
| ~ function(X0)
| ~ function(X1)
| sP1(X2,X1,X0) ),
inference(cnf_transformation,[],[f168]) ).
cnf(c_139,plain,
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_71,c_69]) ).
cnf(c_618,plain,
( relation_rng_restriction(X0,X1) != X2
| X0 != X4
| X1 != X3
| ~ relation(X2)
| ~ relation(X3)
| ~ function(X2)
| ~ function(X3)
| sP0(relation_rng_restriction(X0,X1),X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_109,c_98]) ).
cnf(c_619,plain,
( ~ relation(relation_rng_restriction(X0,X1))
| ~ function(relation_rng_restriction(X0,X1))
| ~ relation(X1)
| ~ function(X1)
| sP0(relation_rng_restriction(X0,X1),X1,X0) ),
inference(unflattening,[status(thm)],[c_618]) ).
cnf(c_631,plain,
( ~ relation(X0)
| ~ function(X0)
| sP0(relation_rng_restriction(X1,X0),X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_619,c_70,c_139]) ).
cnf(c_2848,plain,
relation_rng_restriction(sK13,sK15) = sP0_iProver_def,
definition ).
cnf(c_2849,plain,
relation_dom(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_2850,plain,
relation_dom(sK15) = sP2_iProver_def,
definition ).
cnf(c_2851,plain,
apply(sK15,sK14) = sP3_iProver_def,
definition ).
cnf(c_2852,negated_conjecture,
relation(sK15),
inference(demodulation,[status(thm)],[c_96]) ).
cnf(c_2853,negated_conjecture,
function(sK15),
inference(demodulation,[status(thm)],[c_95]) ).
cnf(c_2854,negated_conjecture,
( in(sK14,sP1_iProver_def)
| in(sK14,sP2_iProver_def) ),
inference(demodulation,[status(thm)],[c_94,c_2850,c_2848,c_2849]) ).
cnf(c_2855,negated_conjecture,
( in(sK14,sP1_iProver_def)
| in(sP3_iProver_def,sK13) ),
inference(demodulation,[status(thm)],[c_93,c_2851]) ).
cnf(c_2856,negated_conjecture,
( ~ in(sK14,sP1_iProver_def)
| ~ in(sK14,sP2_iProver_def)
| ~ in(sP3_iProver_def,sK13) ),
inference(demodulation,[status(thm)],[c_92]) ).
cnf(c_4740,plain,
( ~ relation(sK15)
| ~ function(sK15)
| sP0(sP0_iProver_def,sK15,sK13) ),
inference(superposition,[status(thm)],[c_2848,c_631]) ).
cnf(c_4746,plain,
sP0(sP0_iProver_def,sK15,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_4740,c_2853,c_2852]) ).
cnf(c_4760,plain,
( ~ in(X0,relation_dom(sP0_iProver_def))
| apply(sK15,X0) = apply(sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_4746,c_105]) ).
cnf(c_4761,plain,
( ~ in(X0,relation_dom(sP0_iProver_def))
| in(apply(sK15,X0),sK13) ),
inference(superposition,[status(thm)],[c_4746,c_107]) ).
cnf(c_4762,plain,
( ~ in(X0,relation_dom(sP0_iProver_def))
| in(X0,relation_dom(sK15)) ),
inference(superposition,[status(thm)],[c_4746,c_108]) ).
cnf(c_4763,plain,
( ~ in(X0,sP1_iProver_def)
| in(X0,sP2_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_4762,c_2849,c_2850]) ).
cnf(c_4766,plain,
( ~ in(X0,sP1_iProver_def)
| in(apply(sK15,X0),sK13) ),
inference(light_normalisation,[status(thm)],[c_4761,c_2849]) ).
cnf(c_4769,plain,
( ~ in(X0,sP1_iProver_def)
| apply(sK15,X0) = apply(sP0_iProver_def,X0) ),
inference(light_normalisation,[status(thm)],[c_4760,c_2849]) ).
cnf(c_4788,plain,
in(sK14,sP2_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_2854,c_4763]) ).
cnf(c_4789,plain,
( ~ in(sK14,sP1_iProver_def)
| ~ in(sP3_iProver_def,sK13) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2856,c_4763]) ).
cnf(c_4835,plain,
( ~ in(sK14,sP1_iProver_def)
| in(sP3_iProver_def,sK13) ),
inference(superposition,[status(thm)],[c_2851,c_4766]) ).
cnf(c_4870,plain,
( apply(sK15,sK14) = apply(sP0_iProver_def,sK14)
| in(sP3_iProver_def,sK13) ),
inference(superposition,[status(thm)],[c_2855,c_4769]) ).
cnf(c_4874,plain,
( apply(sP0_iProver_def,sK14) = sP3_iProver_def
| in(sP3_iProver_def,sK13) ),
inference(light_normalisation,[status(thm)],[c_4870,c_2851]) ).
cnf(c_4898,plain,
in(sP3_iProver_def,sK13),
inference(global_subsumption_just,[status(thm)],[c_4874,c_2855,c_4835]) ).
cnf(c_5126,negated_conjecture,
in(sK14,sP2_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_2854,c_4788]) ).
cnf(c_5128,negated_conjecture,
in(sP3_iProver_def,sK13),
inference(global_subsumption_just,[status(thm)],[c_2855,c_2855,c_4835]) ).
cnf(c_5179,negated_conjecture,
~ in(sK14,sP1_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_2856,c_4789,c_4898]) ).
cnf(c_6565,plain,
( ~ relation(sK15)
| ~ function(sK15)
| sP0(sP0_iProver_def,sK15,sK13) ),
inference(superposition,[status(thm)],[c_2848,c_631]) ).
cnf(c_6569,plain,
sP0(sP0_iProver_def,sK15,sK13),
inference(forward_subsumption_resolution,[status(thm)],[c_6565,c_2853,c_2852]) ).
cnf(c_6801,plain,
( ~ sP0(X0,sK15,X1)
| ~ in(sK14,relation_dom(sK15))
| ~ in(sP3_iProver_def,X1)
| in(sK14,relation_dom(X0)) ),
inference(superposition,[status(thm)],[c_2851,c_106]) ).
cnf(c_6805,plain,
( ~ sP0(X0,sK15,X1)
| ~ in(sP3_iProver_def,X1)
| ~ in(sK14,sP2_iProver_def)
| in(sK14,relation_dom(X0)) ),
inference(light_normalisation,[status(thm)],[c_6801,c_2850]) ).
cnf(c_6806,plain,
( ~ sP0(X0,sK15,X1)
| ~ in(sP3_iProver_def,X1)
| in(sK14,relation_dom(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6805,c_5126]) ).
cnf(c_7915,plain,
( ~ in(sP3_iProver_def,sK13)
| in(sK14,relation_dom(sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_6569,c_6806]) ).
cnf(c_7916,plain,
( ~ in(sP3_iProver_def,sK13)
| in(sK14,sP1_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_7915,c_2849]) ).
cnf(c_7917,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7916,c_5179,c_5128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.31 % Problem : SEU044+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.32 % Command : run_iprover %s %d THM
% 0.11/0.55 % Computer : n024.cluster.edu
% 0.11/0.55 % Model : x86_64 x86_64
% 0.11/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.55 % Memory : 8042.1875MB
% 0.11/0.55 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.55 % CPULimit : 300
% 0.11/0.55 % WCLimit : 300
% 0.11/0.55 % DateTime : Thu May 2 17:26:51 EDT 2024
% 0.11/0.56 % CPUTime :
% 0.28/0.73 Running first-order theorem proving
% 0.28/0.73 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.49/1.41 % SZS status Started for theBenchmark.p
% 3.49/1.41 % SZS status Theorem for theBenchmark.p
% 3.49/1.41
% 3.49/1.41 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.49/1.41
% 3.49/1.41 ------ iProver source info
% 3.49/1.41
% 3.49/1.41 git: date: 2024-05-02 19:28:25 +0000
% 3.49/1.41 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.49/1.41 git: non_committed_changes: false
% 3.49/1.41
% 3.49/1.41 ------ Parsing...
% 3.49/1.41 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.49/1.41
% 3.49/1.41 ------ 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: 2 0s sf_e pe_s pe_e
% 3.49/1.41
% 3.49/1.41 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.49/1.41
% 3.49/1.41 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.49/1.41 ------ Proving...
% 3.49/1.41 ------ Problem Properties
% 3.49/1.41
% 3.49/1.41
% 3.49/1.41 clauses 59
% 3.49/1.41 conjectures 5
% 3.49/1.41 EPR 29
% 3.49/1.41 Horn 50
% 3.49/1.41 unary 27
% 3.49/1.41 binary 13
% 3.49/1.41 lits 122
% 3.49/1.41 lits eq 11
% 3.49/1.41 fd_pure 0
% 3.49/1.41 fd_pseudo 0
% 3.49/1.41 fd_cond 1
% 3.49/1.41 fd_pseudo_cond 2
% 3.49/1.41 AC symbols 0
% 3.49/1.41
% 3.49/1.41 ------ Schedule dynamic 5 is on
% 3.49/1.41
% 3.49/1.41 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.49/1.41
% 3.49/1.41
% 3.49/1.41 ------
% 3.49/1.41 Current options:
% 3.49/1.41 ------
% 3.49/1.41
% 3.49/1.41
% 3.49/1.41
% 3.49/1.41
% 3.49/1.41 ------ Proving...
% 3.49/1.41
% 3.49/1.41
% 3.49/1.41 % SZS status Theorem for theBenchmark.p
% 3.49/1.41
% 3.49/1.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.49/1.41
% 3.49/1.41
%------------------------------------------------------------------------------