TSTP Solution File: SEU048+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEU048+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 03:04:25 EDT 2024
% Result : Theorem 0.44s 1.13s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
<=> ! [X1,X2] :
( ( apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f6,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fc5_funct_1) ).
fof(f33,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/sandbox2/benchmark/theBenchmark.p',t85_funct_1) ).
fof(f35,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( one_to_one(X1)
=> one_to_one(relation_rng_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_funct_1) ).
fof(f36,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( one_to_one(X1)
=> one_to_one(relation_rng_restriction(X0,X1)) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f38,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,[],[f33]) ).
fof(f47,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f48,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f50,plain,
! [X0,X1] :
( ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f51,plain,
! [X0,X1] :
( ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f50]) ).
fof(f65,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,[],[f38]) ).
fof(f66,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,[],[f65]) ).
fof(f68,plain,
? [X0,X1] :
( ~ one_to_one(relation_rng_restriction(X0,X1))
& one_to_one(X1)
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f69,plain,
? [X0,X1] :
( ~ one_to_one(relation_rng_restriction(X0,X1))
& one_to_one(X1)
& function(X1)
& relation(X1) ),
inference(flattening,[],[f68]) ).
fof(f70,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(f71,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(f72,plain,
! [X0,X1] :
( ! [X2] :
( sP1(X0,X2,X1)
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(definition_folding,[],[f66,f71,f70]) ).
fof(f73,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) ) )
& ( ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f48]) ).
fof(f74,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| apply(X0,X3) != apply(X0,X4)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> ( sK2(X0) != sK3(X0)
& apply(X0,sK2(X0)) = apply(X0,sK3(X0))
& in(sK3(X0),relation_dom(X0))
& in(sK2(X0),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK2(X0) != sK3(X0)
& apply(X0,sK2(X0)) = apply(X0,sK3(X0))
& in(sK3(X0),relation_dom(X0))
& in(sK2(X0),relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| apply(X0,X3) != apply(X0,X4)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f74,f75]) ).
fof(f99,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,[],[f71]) ).
fof(f100,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,[],[f99]) ).
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(nnf_transformation,[],[f70]) ).
fof(f102,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,[],[f101]) ).
fof(f103,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,[],[f102]) ).
fof(f104,plain,
! [X0,X1] :
( ? [X3] :
( apply(X1,X3) != apply(X0,X3)
& in(X3,relation_dom(X0)) )
=> ( apply(X1,sK15(X0,X1)) != apply(X0,sK15(X0,X1))
& in(sK15(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f105,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,sK16(X0,X1,X2)),X2)
| ~ in(sK16(X0,X1,X2),relation_dom(X1))
| ~ in(sK16(X0,X1,X2),relation_dom(X0)) )
& ( ( in(apply(X1,sK16(X0,X1,X2)),X2)
& in(sK16(X0,X1,X2),relation_dom(X1)) )
| in(sK16(X0,X1,X2),relation_dom(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( apply(X1,sK15(X0,X1)) != apply(X0,sK15(X0,X1))
& in(sK15(X0,X1),relation_dom(X0)) )
| ( ( ~ in(apply(X1,sK16(X0,X1,X2)),X2)
| ~ in(sK16(X0,X1,X2),relation_dom(X1))
| ~ in(sK16(X0,X1,X2),relation_dom(X0)) )
& ( ( in(apply(X1,sK16(X0,X1,X2)),X2)
& in(sK16(X0,X1,X2),relation_dom(X1)) )
| in(sK16(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,[sK15,sK16])],[f103,f105,f104]) ).
fof(f107,plain,
( ? [X0,X1] :
( ~ one_to_one(relation_rng_restriction(X0,X1))
& one_to_one(X1)
& function(X1)
& relation(X1) )
=> ( ~ one_to_one(relation_rng_restriction(sK17,sK18))
& one_to_one(sK18)
& function(sK18)
& relation(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
( ~ one_to_one(relation_rng_restriction(sK17,sK18))
& one_to_one(sK18)
& function(sK18)
& relation(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f69,f107]) ).
fof(f115,plain,
! [X3,X0,X4] :
( X3 = X4
| apply(X0,X3) != apply(X0,X4)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f116,plain,
! [X0] :
( one_to_one(X0)
| in(sK2(X0),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f117,plain,
! [X0] :
( one_to_one(X0)
| in(sK3(X0),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f118,plain,
! [X0] :
( one_to_one(X0)
| apply(X0,sK2(X0)) = apply(X0,sK3(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f119,plain,
! [X0] :
( one_to_one(X0)
| sK2(X0) != sK3(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f120,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f128,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f129,plain,
! [X0,X1] :
( function(relation_rng_restriction(X0,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f160,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| relation_rng_restriction(X0,X1) != X2
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f162,plain,
! [X2,X0,X1,X6] :
( in(X6,relation_dom(X1))
| ~ in(X6,relation_dom(X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f165,plain,
! [X2,X0,X1,X5] :
( apply(X1,X5) = apply(X0,X5)
| ~ in(X5,relation_dom(X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f172,plain,
! [X2,X0,X1] :
( sP1(X0,X2,X1)
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f174,plain,
relation(sK18),
inference(cnf_transformation,[],[f108]) ).
fof(f175,plain,
function(sK18),
inference(cnf_transformation,[],[f108]) ).
fof(f176,plain,
one_to_one(sK18),
inference(cnf_transformation,[],[f108]) ).
fof(f177,plain,
~ one_to_one(relation_rng_restriction(sK17,sK18)),
inference(cnf_transformation,[],[f108]) ).
fof(f178,plain,
! [X0,X1] :
( sP0(relation_rng_restriction(X0,X1),X1,X0)
| ~ sP1(X0,X1,relation_rng_restriction(X0,X1)) ),
inference(equality_resolution,[],[f160]) ).
cnf(c_53,plain,
( sK2(X0) != sK3(X0)
| ~ function(X0)
| ~ relation(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_54,plain,
( ~ function(X0)
| ~ relation(X0)
| apply(X0,sK2(X0)) = apply(X0,sK3(X0))
| one_to_one(X0) ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_55,plain,
( ~ function(X0)
| ~ relation(X0)
| in(sK3(X0),relation_dom(X0))
| one_to_one(X0) ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_56,plain,
( ~ function(X0)
| ~ relation(X0)
| in(sK2(X0),relation_dom(X0))
| one_to_one(X0) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_57,plain,
( apply(X0,X1) != apply(X0,X2)
| ~ in(X1,relation_dom(X0))
| ~ in(X2,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| ~ one_to_one(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_58,plain,
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_66,plain,
( ~ function(X0)
| ~ relation(X0)
| function(relation_rng_restriction(X1,X0)) ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_67,plain,
( ~ function(X0)
| ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(cnf_transformation,[],[f128]) ).
cnf(c_99,plain,
( ~ sP1(X0,X1,relation_rng_restriction(X0,X1))
| sP0(relation_rng_restriction(X0,X1),X1,X0) ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_106,plain,
( ~ sP0(X0,X1,X2)
| ~ in(X3,relation_dom(X0))
| apply(X0,X3) = apply(X1,X3) ),
inference(cnf_transformation,[],[f165]) ).
cnf(c_109,plain,
( ~ sP0(X0,X1,X2)
| ~ in(X3,relation_dom(X0))
| in(X3,relation_dom(X1)) ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_110,plain,
( ~ function(X0)
| ~ function(X1)
| ~ relation(X0)
| ~ relation(X1)
| sP1(X2,X1,X0) ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_112,negated_conjecture,
~ one_to_one(relation_rng_restriction(sK17,sK18)),
inference(cnf_transformation,[],[f177]) ).
cnf(c_113,negated_conjecture,
one_to_one(sK18),
inference(cnf_transformation,[],[f176]) ).
cnf(c_114,negated_conjecture,
function(sK18),
inference(cnf_transformation,[],[f175]) ).
cnf(c_115,negated_conjecture,
relation(sK18),
inference(cnf_transformation,[],[f174]) ).
cnf(c_148,plain,
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_67,c_58]) ).
cnf(c_708,plain,
( relation_rng_restriction(X0,X1) != X2
| X0 != X4
| X1 != X3
| ~ function(X2)
| ~ function(X3)
| ~ relation(X2)
| ~ relation(X3)
| sP0(relation_rng_restriction(X0,X1),X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_110,c_99]) ).
cnf(c_709,plain,
( ~ function(relation_rng_restriction(X0,X1))
| ~ relation(relation_rng_restriction(X0,X1))
| ~ function(X1)
| ~ relation(X1)
| sP0(relation_rng_restriction(X0,X1),X1,X0) ),
inference(unflattening,[status(thm)],[c_708]) ).
cnf(c_721,plain,
( ~ function(X0)
| ~ relation(X0)
| sP0(relation_rng_restriction(X1,X0),X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_709,c_148,c_66]) ).
cnf(c_3537,plain,
relation_rng_restriction(sK17,sK18) = sP0_iProver_def,
definition ).
cnf(c_3538,negated_conjecture,
relation(sK18),
inference(demodulation,[status(thm)],[c_115]) ).
cnf(c_3539,negated_conjecture,
function(sK18),
inference(demodulation,[status(thm)],[c_114]) ).
cnf(c_3540,negated_conjecture,
one_to_one(sK18),
inference(demodulation,[status(thm)],[c_113]) ).
cnf(c_3541,negated_conjecture,
~ one_to_one(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_112,c_3537]) ).
cnf(c_3544,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_4309,plain,
( ~ relation(sK18)
| relation(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_3537,c_58]) ).
cnf(c_4310,plain,
relation(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_4309,c_3538]) ).
cnf(c_4403,plain,
( ~ function(sK18)
| ~ relation(sK18)
| function(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_3537,c_66]) ).
cnf(c_4404,plain,
function(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_4403,c_3538,c_3539]) ).
cnf(c_4716,plain,
( ~ relation(sP0_iProver_def)
| apply(sP0_iProver_def,sK2(sP0_iProver_def)) = apply(sP0_iProver_def,sK3(sP0_iProver_def))
| one_to_one(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_4404,c_54]) ).
cnf(c_4718,plain,
apply(sP0_iProver_def,sK2(sP0_iProver_def)) = apply(sP0_iProver_def,sK3(sP0_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_4716,c_3541,c_4310]) ).
cnf(c_4911,plain,
( sK2(sP0_iProver_def) != sK3(sP0_iProver_def)
| ~ function(sP0_iProver_def)
| ~ relation(sP0_iProver_def)
| one_to_one(sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_5183,plain,
( sK2(sP0_iProver_def) != X0
| sK3(sP0_iProver_def) != X0
| sK2(sP0_iProver_def) = sK3(sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_3544]) ).
cnf(c_6479,plain,
( ~ function(sK18)
| ~ relation(sK18)
| sP0(sP0_iProver_def,sK18,sK17) ),
inference(superposition,[status(thm)],[c_3537,c_721]) ).
cnf(c_6484,plain,
sP0(sP0_iProver_def,sK18,sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_6479,c_3538,c_3539]) ).
cnf(c_6526,plain,
( ~ in(X0,relation_dom(sP0_iProver_def))
| apply(sK18,X0) = apply(sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_6484,c_106]) ).
cnf(c_6528,plain,
( ~ in(X0,relation_dom(sP0_iProver_def))
| in(X0,relation_dom(sK18)) ),
inference(superposition,[status(thm)],[c_6484,c_109]) ).
cnf(c_6549,plain,
( ~ function(sP0_iProver_def)
| ~ relation(sP0_iProver_def)
| in(sK3(sP0_iProver_def),relation_dom(sK18))
| one_to_one(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_55,c_6528]) ).
cnf(c_6550,plain,
( ~ function(sP0_iProver_def)
| ~ relation(sP0_iProver_def)
| in(sK2(sP0_iProver_def),relation_dom(sK18))
| one_to_one(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_56,c_6528]) ).
cnf(c_6570,plain,
in(sK2(sP0_iProver_def),relation_dom(sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_6550,c_3541,c_4310,c_4404]) ).
cnf(c_6571,plain,
in(sK3(sP0_iProver_def),relation_dom(sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_6549,c_3541,c_4310,c_4404]) ).
cnf(c_6904,plain,
( ~ function(sP0_iProver_def)
| ~ relation(sP0_iProver_def)
| apply(sK18,sK3(sP0_iProver_def)) = apply(sP0_iProver_def,sK3(sP0_iProver_def))
| one_to_one(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_55,c_6526]) ).
cnf(c_6905,plain,
( ~ function(sP0_iProver_def)
| ~ relation(sP0_iProver_def)
| apply(sK18,sK2(sP0_iProver_def)) = apply(sP0_iProver_def,sK2(sP0_iProver_def))
| one_to_one(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_56,c_6526]) ).
cnf(c_6922,plain,
apply(sK18,sK2(sP0_iProver_def)) = apply(sP0_iProver_def,sK2(sP0_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_6905,c_3541,c_4310,c_4404]) ).
cnf(c_6923,plain,
( ~ function(sP0_iProver_def)
| ~ relation(sP0_iProver_def)
| apply(sK18,sK3(sP0_iProver_def)) = apply(sP0_iProver_def,sK2(sP0_iProver_def))
| one_to_one(sP0_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_6904,c_4718]) ).
cnf(c_6924,plain,
apply(sK18,sK3(sP0_iProver_def)) = apply(sP0_iProver_def,sK2(sP0_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_6923,c_3541,c_4310,c_4404]) ).
cnf(c_7003,plain,
( apply(sP0_iProver_def,sK2(sP0_iProver_def)) != apply(sK18,X0)
| ~ in(sK2(sP0_iProver_def),relation_dom(sK18))
| ~ in(X0,relation_dom(sK18))
| ~ function(sK18)
| ~ relation(sK18)
| ~ one_to_one(sK18)
| sK2(sP0_iProver_def) = X0 ),
inference(superposition,[status(thm)],[c_6922,c_57]) ).
cnf(c_7011,plain,
( apply(sP0_iProver_def,sK2(sP0_iProver_def)) != apply(sK18,X0)
| ~ in(X0,relation_dom(sK18))
| sK2(sP0_iProver_def) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_7003,c_3540,c_3538,c_3539,c_6570]) ).
cnf(c_7039,plain,
( apply(sP0_iProver_def,sK2(sP0_iProver_def)) != apply(sK18,X0)
| ~ in(sK3(sP0_iProver_def),relation_dom(sK18))
| ~ in(X0,relation_dom(sK18))
| ~ function(sK18)
| ~ relation(sK18)
| ~ one_to_one(sK18)
| sK3(sP0_iProver_def) = X0 ),
inference(superposition,[status(thm)],[c_6924,c_57]) ).
cnf(c_7047,plain,
( apply(sP0_iProver_def,sK2(sP0_iProver_def)) != apply(sK18,X0)
| ~ in(X0,relation_dom(sK18))
| sK3(sP0_iProver_def) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_7039,c_3540,c_3538,c_3539,c_6571]) ).
cnf(c_7054,plain,
( ~ in(X0,relation_dom(sK18))
| apply(sP0_iProver_def,sK2(sP0_iProver_def)) != apply(sK18,X0) ),
inference(global_subsumption_just,[status(thm)],[c_7011,c_3541,c_4310,c_4404,c_4911,c_5183,c_7011,c_7047]) ).
cnf(c_7055,plain,
( apply(sP0_iProver_def,sK2(sP0_iProver_def)) != apply(sK18,X0)
| ~ in(X0,relation_dom(sK18)) ),
inference(renaming,[status(thm)],[c_7054]) ).
cnf(c_7062,plain,
~ in(sK2(sP0_iProver_def),relation_dom(sK18)),
inference(superposition,[status(thm)],[c_6922,c_7055]) ).
cnf(c_7063,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7062,c_6570]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU048+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.10/0.32 % Computer : n017.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu May 2 17:08:21 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.44/1.13 % SZS status Started for theBenchmark.p
% 0.44/1.13 % SZS status Theorem for theBenchmark.p
% 0.44/1.13
% 0.44/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.44/1.13
% 0.44/1.13 ------ iProver source info
% 0.44/1.13
% 0.44/1.13 git: date: 2024-05-02 19:28:25 +0000
% 0.44/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.44/1.13 git: non_committed_changes: false
% 0.44/1.13
% 0.44/1.13 ------ Parsing...
% 0.44/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.44/1.13
% 0.44/1.13 ------ 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
% 0.44/1.13
% 0.44/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.44/1.13
% 0.44/1.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.44/1.13 ------ Proving...
% 0.44/1.13 ------ Problem Properties
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 clauses 62
% 0.44/1.13 conjectures 4
% 0.44/1.13 EPR 30
% 0.44/1.13 Horn 52
% 0.44/1.13 unary 27
% 0.44/1.13 binary 12
% 0.44/1.13 lits 140
% 0.44/1.13 lits eq 12
% 0.44/1.13 fd_pure 0
% 0.44/1.13 fd_pseudo 0
% 0.44/1.13 fd_cond 1
% 0.44/1.13 fd_pseudo_cond 3
% 0.44/1.13 AC symbols 0
% 0.44/1.13
% 0.44/1.13 ------ Schedule dynamic 5 is on
% 0.44/1.13
% 0.44/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------
% 0.44/1.13 Current options:
% 0.44/1.13 ------
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 ------ Proving...
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 % SZS status Theorem for theBenchmark.p
% 0.44/1.13
% 0.44/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.13
% 0.44/1.13
%------------------------------------------------------------------------------