TSTP Solution File: SEU013+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEU013+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 03:04:21 EDT 2024
% Result : Theorem 0.48s 1.16s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f4,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/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f5,axiom,
! [X0,X1] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f9,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1)
& function(X0)
& relation(X0) )
=> ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f26,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f27,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
=> apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_funct_1) ).
fof(f30,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( one_to_one(X1)
& one_to_one(X0) )
=> one_to_one(relation_composition(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_funct_1) ).
fof(f31,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( one_to_one(X1)
& one_to_one(X0) )
=> one_to_one(relation_composition(X0,X1)) ) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f44,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,[],[f4]) ).
fof(f45,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,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f47,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(flattening,[],[f46]) ).
fof(f50,plain,
! [X0,X1] :
( ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) )
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f51,plain,
! [X0,X1] :
( ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) )
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f50]) ).
fof(f59,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f60,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f62,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f61]) ).
fof(f66,plain,
? [X0] :
( ? [X1] :
( ~ one_to_one(relation_composition(X0,X1))
& one_to_one(X1)
& one_to_one(X0)
& function(X1)
& relation(X1) )
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f67,plain,
? [X0] :
( ? [X1] :
( ~ one_to_one(relation_composition(X0,X1))
& one_to_one(X1)
& one_to_one(X0)
& function(X1)
& relation(X1) )
& function(X0)
& relation(X0) ),
inference(flattening,[],[f66]) ).
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)) ) )
& ( ! [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,[],[f45]) ).
fof(f75,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,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> ( sK0(X0) != sK1(X0)
& apply(X0,sK0(X0)) = apply(X0,sK1(X0))
& in(sK1(X0),relation_dom(X0))
& in(sK0(X0),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK0(X0) != sK1(X0)
& apply(X0,sK0(X0)) = apply(X0,sK1(X0))
& in(sK1(X0),relation_dom(X0))
& in(sK0(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,[sK0,sK1])],[f75,f76]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2)) )
& ( ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(nnf_transformation,[],[f60]) ).
fof(f97,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2)) )
& ( ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
( ? [X0] :
( ? [X1] :
( ~ one_to_one(relation_composition(X0,X1))
& one_to_one(X1)
& one_to_one(X0)
& function(X1)
& relation(X1) )
& function(X0)
& relation(X0) )
=> ( ? [X1] :
( ~ one_to_one(relation_composition(sK11,X1))
& one_to_one(X1)
& one_to_one(sK11)
& function(X1)
& relation(X1) )
& function(sK11)
& relation(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
( ? [X1] :
( ~ one_to_one(relation_composition(sK11,X1))
& one_to_one(X1)
& one_to_one(sK11)
& function(X1)
& relation(X1) )
=> ( ~ one_to_one(relation_composition(sK11,sK12))
& one_to_one(sK12)
& one_to_one(sK11)
& function(sK12)
& relation(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
( ~ one_to_one(relation_composition(sK11,sK12))
& one_to_one(sK12)
& one_to_one(sK11)
& function(sK12)
& relation(sK12)
& function(sK11)
& relation(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f67,f99,f98]) ).
fof(f104,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,[],[f77]) ).
fof(f105,plain,
! [X0] :
( one_to_one(X0)
| in(sK0(X0),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f106,plain,
! [X0] :
( one_to_one(X0)
| in(sK1(X0),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f107,plain,
! [X0] :
( one_to_one(X0)
| apply(X0,sK0(X0)) = apply(X0,sK1(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f108,plain,
! [X0] :
( one_to_one(X0)
| sK0(X0) != sK1(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f109,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f116,plain,
! [X0,X1] :
( function(relation_composition(X0,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f141,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(X2))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f142,plain,
! [X2,X0,X1] :
( in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f144,plain,
! [X2,X0,X1] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f147,plain,
relation(sK11),
inference(cnf_transformation,[],[f100]) ).
fof(f148,plain,
function(sK11),
inference(cnf_transformation,[],[f100]) ).
fof(f149,plain,
relation(sK12),
inference(cnf_transformation,[],[f100]) ).
fof(f150,plain,
function(sK12),
inference(cnf_transformation,[],[f100]) ).
fof(f151,plain,
one_to_one(sK11),
inference(cnf_transformation,[],[f100]) ).
fof(f152,plain,
one_to_one(sK12),
inference(cnf_transformation,[],[f100]) ).
fof(f153,plain,
~ one_to_one(relation_composition(sK11,sK12)),
inference(cnf_transformation,[],[f100]) ).
cnf(c_52,plain,
( sK0(X0) != sK1(X0)
| ~ function(X0)
| ~ relation(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_53,plain,
( ~ function(X0)
| ~ relation(X0)
| apply(X0,sK0(X0)) = apply(X0,sK1(X0))
| one_to_one(X0) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_54,plain,
( ~ function(X0)
| ~ relation(X0)
| in(sK1(X0),relation_dom(X0))
| one_to_one(X0) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_55,plain,
( ~ function(X0)
| ~ relation(X0)
| in(sK0(X0),relation_dom(X0))
| one_to_one(X0) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_56,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,[],[f104]) ).
cnf(c_57,plain,
( ~ relation(X0)
| ~ relation(X1)
| relation(relation_composition(X1,X0)) ),
inference(cnf_transformation,[],[f109]) ).
cnf(c_63,plain,
( ~ function(X0)
| ~ function(X1)
| ~ relation(X0)
| ~ relation(X1)
| function(relation_composition(X1,X0)) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_90,plain,
( ~ in(X0,relation_dom(relation_composition(X1,X2)))
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2)
| in(apply(X1,X0),relation_dom(X2)) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_91,plain,
( ~ in(X0,relation_dom(relation_composition(X1,X2)))
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2)
| in(X0,relation_dom(X1)) ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_92,plain,
( ~ in(X0,relation_dom(relation_composition(X1,X2)))
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2)
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_95,negated_conjecture,
~ one_to_one(relation_composition(sK11,sK12)),
inference(cnf_transformation,[],[f153]) ).
cnf(c_96,negated_conjecture,
one_to_one(sK12),
inference(cnf_transformation,[],[f152]) ).
cnf(c_97,negated_conjecture,
one_to_one(sK11),
inference(cnf_transformation,[],[f151]) ).
cnf(c_98,negated_conjecture,
function(sK12),
inference(cnf_transformation,[],[f150]) ).
cnf(c_99,negated_conjecture,
relation(sK12),
inference(cnf_transformation,[],[f149]) ).
cnf(c_100,negated_conjecture,
function(sK11),
inference(cnf_transformation,[],[f148]) ).
cnf(c_101,negated_conjecture,
relation(sK11),
inference(cnf_transformation,[],[f147]) ).
cnf(c_1547,plain,
relation_composition(sK11,sK12) = sP0_iProver_def,
definition ).
cnf(c_1548,negated_conjecture,
relation(sK11),
inference(demodulation,[status(thm)],[c_101]) ).
cnf(c_1549,negated_conjecture,
function(sK11),
inference(demodulation,[status(thm)],[c_100]) ).
cnf(c_1550,negated_conjecture,
relation(sK12),
inference(demodulation,[status(thm)],[c_99]) ).
cnf(c_1551,negated_conjecture,
function(sK12),
inference(demodulation,[status(thm)],[c_98]) ).
cnf(c_1552,negated_conjecture,
one_to_one(sK11),
inference(demodulation,[status(thm)],[c_97]) ).
cnf(c_1553,negated_conjecture,
one_to_one(sK12),
inference(demodulation,[status(thm)],[c_96]) ).
cnf(c_1554,negated_conjecture,
~ one_to_one(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_95,c_1547]) ).
cnf(c_2373,plain,
( ~ relation(sK11)
| ~ relation(sK12)
| relation(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_1547,c_57]) ).
cnf(c_2374,plain,
relation(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_2373,c_1550,c_1548]) ).
cnf(c_2749,plain,
( sK0(sP0_iProver_def) != sK1(sP0_iProver_def)
| ~ function(sP0_iProver_def)
| ~ relation(sP0_iProver_def)
| one_to_one(sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_2750,plain,
( ~ function(sP0_iProver_def)
| ~ relation(sP0_iProver_def)
| in(sK1(sP0_iProver_def),relation_dom(sP0_iProver_def))
| one_to_one(sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_2751,plain,
( ~ function(sP0_iProver_def)
| ~ relation(sP0_iProver_def)
| in(sK0(sP0_iProver_def),relation_dom(sP0_iProver_def))
| one_to_one(sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_2863,plain,
( ~ function(sK11)
| ~ function(sK12)
| ~ relation(sK11)
| ~ relation(sK12)
| function(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_1547,c_63]) ).
cnf(c_2865,plain,
function(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_2863,c_1550,c_1548,c_1551,c_1549]) ).
cnf(c_2889,plain,
( ~ in(X0,relation_dom(sP0_iProver_def))
| ~ function(sK11)
| ~ function(sK12)
| ~ relation(sK11)
| ~ relation(sK12)
| in(X0,relation_dom(sK11)) ),
inference(superposition,[status(thm)],[c_1547,c_91]) ).
cnf(c_2890,plain,
( ~ in(X0,relation_dom(sP0_iProver_def))
| in(X0,relation_dom(sK11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2889,c_1550,c_1548,c_1551,c_1549]) ).
cnf(c_2938,plain,
( ~ in(X0,relation_dom(sP0_iProver_def))
| ~ function(sK11)
| ~ function(sK12)
| ~ relation(sK11)
| ~ relation(sK12)
| in(apply(sK11,X0),relation_dom(sK12)) ),
inference(superposition,[status(thm)],[c_1547,c_90]) ).
cnf(c_2939,plain,
( ~ in(X0,relation_dom(sP0_iProver_def))
| in(apply(sK11,X0),relation_dom(sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2938,c_1550,c_1548,c_1551,c_1549]) ).
cnf(c_2989,plain,
( ~ relation(sP0_iProver_def)
| apply(sP0_iProver_def,sK0(sP0_iProver_def)) = apply(sP0_iProver_def,sK1(sP0_iProver_def))
| one_to_one(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_2865,c_53]) ).
cnf(c_2990,plain,
apply(sP0_iProver_def,sK0(sP0_iProver_def)) = apply(sP0_iProver_def,sK1(sP0_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_2989,c_1554,c_2374]) ).
cnf(c_2995,plain,
( ~ function(sP0_iProver_def)
| ~ relation(sP0_iProver_def)
| in(sK1(sP0_iProver_def),relation_dom(sK11))
| one_to_one(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_54,c_2890]) ).
cnf(c_2996,plain,
( ~ function(sP0_iProver_def)
| ~ relation(sP0_iProver_def)
| in(sK0(sP0_iProver_def),relation_dom(sK11))
| one_to_one(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_55,c_2890]) ).
cnf(c_3000,plain,
in(sK0(sP0_iProver_def),relation_dom(sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_2996,c_1554,c_2374,c_2865]) ).
cnf(c_3001,plain,
in(sK1(sP0_iProver_def),relation_dom(sK11)),
inference(forward_subsumption_resolution,[status(thm)],[c_2995,c_1554,c_2374,c_2865]) ).
cnf(c_3093,plain,
( ~ in(X0,relation_dom(sP0_iProver_def))
| ~ function(sK11)
| ~ function(sK12)
| ~ relation(sK11)
| ~ relation(sK12)
| apply(relation_composition(sK11,sK12),X0) = apply(sK12,apply(sK11,X0)) ),
inference(superposition,[status(thm)],[c_1547,c_92]) ).
cnf(c_3094,plain,
( ~ in(X0,relation_dom(sP0_iProver_def))
| ~ function(sK11)
| ~ function(sK12)
| ~ relation(sK11)
| ~ relation(sK12)
| apply(sK12,apply(sK11,X0)) = apply(sP0_iProver_def,X0) ),
inference(light_normalisation,[status(thm)],[c_3093,c_1547]) ).
cnf(c_3095,plain,
( ~ in(X0,relation_dom(sP0_iProver_def))
| apply(sK12,apply(sK11,X0)) = apply(sP0_iProver_def,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3094,c_1550,c_1548,c_1551,c_1549]) ).
cnf(c_3146,plain,
( ~ function(sP0_iProver_def)
| ~ relation(sP0_iProver_def)
| apply(sK12,apply(sK11,sK1(sP0_iProver_def))) = apply(sP0_iProver_def,sK1(sP0_iProver_def))
| one_to_one(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_54,c_3095]) ).
cnf(c_3147,plain,
( ~ function(sP0_iProver_def)
| ~ relation(sP0_iProver_def)
| apply(sK12,apply(sK11,sK0(sP0_iProver_def))) = apply(sP0_iProver_def,sK0(sP0_iProver_def))
| one_to_one(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_55,c_3095]) ).
cnf(c_3151,plain,
apply(sK12,apply(sK11,sK0(sP0_iProver_def))) = apply(sP0_iProver_def,sK0(sP0_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_3147,c_1554,c_2374,c_2865]) ).
cnf(c_3152,plain,
( ~ function(sP0_iProver_def)
| ~ relation(sP0_iProver_def)
| apply(sK12,apply(sK11,sK1(sP0_iProver_def))) = apply(sP0_iProver_def,sK0(sP0_iProver_def))
| one_to_one(sP0_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_3146,c_2990]) ).
cnf(c_3153,plain,
apply(sK12,apply(sK11,sK1(sP0_iProver_def))) = apply(sP0_iProver_def,sK0(sP0_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_3152,c_1554,c_2374,c_2865]) ).
cnf(c_3155,plain,
( apply(sP0_iProver_def,sK0(sP0_iProver_def)) != apply(sK12,X0)
| ~ in(apply(sK11,sK0(sP0_iProver_def)),relation_dom(sK12))
| ~ in(X0,relation_dom(sK12))
| ~ function(sK12)
| ~ relation(sK12)
| ~ one_to_one(sK12)
| apply(sK11,sK0(sP0_iProver_def)) = X0 ),
inference(superposition,[status(thm)],[c_3151,c_56]) ).
cnf(c_3163,plain,
( apply(sP0_iProver_def,sK0(sP0_iProver_def)) != apply(sK12,X0)
| ~ in(apply(sK11,sK0(sP0_iProver_def)),relation_dom(sK12))
| ~ in(X0,relation_dom(sK12))
| apply(sK11,sK0(sP0_iProver_def)) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3155,c_1553,c_1550,c_1551]) ).
cnf(c_3194,plain,
( ~ in(apply(sK11,sK0(sP0_iProver_def)),relation_dom(sK12))
| ~ in(apply(sK11,sK1(sP0_iProver_def)),relation_dom(sK12))
| apply(sK11,sK0(sP0_iProver_def)) = apply(sK11,sK1(sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_3153,c_3163]) ).
cnf(c_4134,plain,
( ~ in(apply(sK11,sK0(sP0_iProver_def)),relation_dom(sK12))
| ~ in(sK1(sP0_iProver_def),relation_dom(sP0_iProver_def))
| apply(sK11,sK0(sP0_iProver_def)) = apply(sK11,sK1(sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_2939,c_3194]) ).
cnf(c_5121,plain,
( ~ in(apply(sK11,sK0(sP0_iProver_def)),relation_dom(sK12))
| apply(sK11,sK0(sP0_iProver_def)) = apply(sK11,sK1(sP0_iProver_def)) ),
inference(global_subsumption_just,[status(thm)],[c_4134,c_1554,c_2374,c_2750,c_2865,c_4134]) ).
cnf(c_5127,plain,
( ~ in(sK0(sP0_iProver_def),relation_dom(sP0_iProver_def))
| apply(sK11,sK0(sP0_iProver_def)) = apply(sK11,sK1(sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_2939,c_5121]) ).
cnf(c_5130,plain,
apply(sK11,sK0(sP0_iProver_def)) = apply(sK11,sK1(sP0_iProver_def)),
inference(global_subsumption_just,[status(thm)],[c_5127,c_1554,c_2374,c_2751,c_2865,c_5127]) ).
cnf(c_5157,plain,
( apply(sK11,sK0(sP0_iProver_def)) != apply(sK11,X0)
| ~ in(sK1(sP0_iProver_def),relation_dom(sK11))
| ~ in(X0,relation_dom(sK11))
| ~ function(sK11)
| ~ relation(sK11)
| ~ one_to_one(sK11)
| sK1(sP0_iProver_def) = X0 ),
inference(superposition,[status(thm)],[c_5130,c_56]) ).
cnf(c_5173,plain,
( apply(sK11,sK0(sP0_iProver_def)) != apply(sK11,X0)
| ~ in(X0,relation_dom(sK11))
| sK1(sP0_iProver_def) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_5157,c_1552,c_1548,c_1549,c_3001]) ).
cnf(c_5186,plain,
( ~ in(sK0(sP0_iProver_def),relation_dom(sK11))
| sK0(sP0_iProver_def) = sK1(sP0_iProver_def) ),
inference(equality_resolution,[status(thm)],[c_5173]) ).
cnf(c_5187,plain,
sK0(sP0_iProver_def) = sK1(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_5186,c_3000]) ).
cnf(c_5197,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5187,c_2865,c_2749,c_2374,c_1554]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU013+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 17:49:12 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 0.48/1.16 % SZS status Started for theBenchmark.p
% 0.48/1.16 % SZS status Theorem for theBenchmark.p
% 0.48/1.16
% 0.48/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.48/1.16
% 0.48/1.16 ------ iProver source info
% 0.48/1.16
% 0.48/1.16 git: date: 2024-05-02 19:28:25 +0000
% 0.48/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.48/1.16 git: non_committed_changes: false
% 0.48/1.16
% 0.48/1.16 ------ Parsing...
% 0.48/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.48/1.16
% 0.48/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.48/1.16 ------ Proving...
% 0.48/1.16 ------ Problem Properties
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 clauses 54
% 0.48/1.16 conjectures 7
% 0.48/1.16 EPR 26
% 0.48/1.16 Horn 49
% 0.48/1.16 unary 24
% 0.48/1.16 binary 10
% 0.48/1.16 lits 127
% 0.48/1.16 lits eq 8
% 0.48/1.16 fd_pure 0
% 0.48/1.16 fd_pseudo 0
% 0.48/1.16 fd_cond 1
% 0.48/1.16 fd_pseudo_cond 2
% 0.48/1.16 AC symbols 0
% 0.48/1.16
% 0.48/1.16 ------ Schedule dynamic 5 is on
% 0.48/1.16
% 0.48/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 ------
% 0.48/1.16 Current options:
% 0.48/1.16 ------
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 ------ Proving...
% 0.48/1.16
% 0.48/1.16
% 0.48/1.16 % SZS status Theorem for theBenchmark.p
% 0.48/1.16
% 0.48/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.16
% 0.48/1.17
%------------------------------------------------------------------------------