TSTP Solution File: SEU362+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU362+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 : Thu Aug 31 17:06:26 EDT 2023
% Result : Theorem 0.47s 1.16s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 91 ( 27 unt; 0 def)
% Number of atoms : 360 ( 46 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 407 ( 138 ~; 115 |; 120 &)
% ( 5 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 171 ( 2 sgn; 78 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( rel_str(X1)
=> ( subrelstr(X1,X0)
<=> ( subset(the_InternalRel(X1),the_InternalRel(X0))
& subset(the_carrier(X1),the_carrier(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_yellow_0) ).
fof(f6,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).
fof(f15,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
fof(f35,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f36,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f37,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f38,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f39,conjecture,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X1))
=> ( ( related(X1,X4,X5)
& X3 = X5
& X2 = X4 )
=> related(X0,X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_yellow_0) ).
fof(f40,negated_conjecture,
~ ! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X1))
=> ( ( related(X1,X4,X5)
& X3 = X5
& X2 = X4 )
=> related(X0,X2,X3) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f39]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ( subrelstr(X1,X0)
<=> ( subset(the_InternalRel(X1),the_InternalRel(X0))
& subset(the_carrier(X1),the_carrier(X0)) ) )
| ~ rel_str(X1) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ subrelstr(X1,X0) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f62,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f63,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f65,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f67,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ related(X0,X2,X3)
& related(X1,X4,X5)
& X3 = X5
& X2 = X4
& element(X5,the_carrier(X1)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
& subrelstr(X1,X0) )
& rel_str(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f68,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ related(X0,X2,X3)
& related(X1,X4,X5)
& X3 = X5
& X2 = X4
& element(X5,the_carrier(X1)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
& subrelstr(X1,X0) )
& rel_str(X0) ),
inference(flattening,[],[f67]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ( ( subrelstr(X1,X0)
| ~ subset(the_InternalRel(X1),the_InternalRel(X0))
| ~ subset(the_carrier(X1),the_carrier(X0)) )
& ( ( subset(the_InternalRel(X1),the_InternalRel(X0))
& subset(the_carrier(X1),the_carrier(X0)) )
| ~ subrelstr(X1,X0) ) )
| ~ rel_str(X1) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f51]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ( ( subrelstr(X1,X0)
| ~ subset(the_InternalRel(X1),the_InternalRel(X0))
| ~ subset(the_carrier(X1),the_carrier(X0)) )
& ( ( subset(the_InternalRel(X1),the_InternalRel(X0))
& subset(the_carrier(X1),the_carrier(X0)) )
| ~ subrelstr(X1,X0) ) )
| ~ rel_str(X1) )
| ~ rel_str(X0) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( related(X0,X1,X2)
| ~ in(ordered_pair(X1,X2),the_InternalRel(X0)) )
& ( in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ related(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f52]) ).
fof(f96,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f97,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ related(X0,X2,X3)
& related(X1,X4,X5)
& X3 = X5
& X2 = X4
& element(X5,the_carrier(X1)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
& subrelstr(X1,X0) )
& rel_str(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ related(sK10,X2,X3)
& related(X1,X4,X5)
& X3 = X5
& X2 = X4
& element(X5,the_carrier(X1)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(sK10)) )
& element(X2,the_carrier(sK10)) )
& subrelstr(X1,sK10) )
& rel_str(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ related(sK10,X2,X3)
& related(X1,X4,X5)
& X3 = X5
& X2 = X4
& element(X5,the_carrier(X1)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(sK10)) )
& element(X2,the_carrier(sK10)) )
& subrelstr(X1,sK10) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ related(sK10,X2,X3)
& related(sK11,X4,X5)
& X3 = X5
& X2 = X4
& element(X5,the_carrier(sK11)) )
& element(X4,the_carrier(sK11)) )
& element(X3,the_carrier(sK10)) )
& element(X2,the_carrier(sK10)) )
& subrelstr(sK11,sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ related(sK10,X2,X3)
& related(sK11,X4,X5)
& X3 = X5
& X2 = X4
& element(X5,the_carrier(sK11)) )
& element(X4,the_carrier(sK11)) )
& element(X3,the_carrier(sK10)) )
& element(X2,the_carrier(sK10)) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ related(sK10,sK12,X3)
& related(sK11,X4,X5)
& X3 = X5
& sK12 = X4
& element(X5,the_carrier(sK11)) )
& element(X4,the_carrier(sK11)) )
& element(X3,the_carrier(sK10)) )
& element(sK12,the_carrier(sK10)) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ related(sK10,sK12,X3)
& related(sK11,X4,X5)
& X3 = X5
& sK12 = X4
& element(X5,the_carrier(sK11)) )
& element(X4,the_carrier(sK11)) )
& element(X3,the_carrier(sK10)) )
=> ( ? [X4] :
( ? [X5] :
( ~ related(sK10,sK12,sK13)
& related(sK11,X4,X5)
& sK13 = X5
& sK12 = X4
& element(X5,the_carrier(sK11)) )
& element(X4,the_carrier(sK11)) )
& element(sK13,the_carrier(sK10)) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
( ? [X4] :
( ? [X5] :
( ~ related(sK10,sK12,sK13)
& related(sK11,X4,X5)
& sK13 = X5
& sK12 = X4
& element(X5,the_carrier(sK11)) )
& element(X4,the_carrier(sK11)) )
=> ( ? [X5] :
( ~ related(sK10,sK12,sK13)
& related(sK11,sK14,X5)
& sK13 = X5
& sK12 = sK14
& element(X5,the_carrier(sK11)) )
& element(sK14,the_carrier(sK11)) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ? [X5] :
( ~ related(sK10,sK12,sK13)
& related(sK11,sK14,X5)
& sK13 = X5
& sK12 = sK14
& element(X5,the_carrier(sK11)) )
=> ( ~ related(sK10,sK12,sK13)
& related(sK11,sK14,sK15)
& sK13 = sK15
& sK12 = sK14
& element(sK15,the_carrier(sK11)) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
( ~ related(sK10,sK12,sK13)
& related(sK11,sK14,sK15)
& sK13 = sK15
& sK12 = sK14
& element(sK15,the_carrier(sK11))
& element(sK14,the_carrier(sK11))
& element(sK13,the_carrier(sK10))
& element(sK12,the_carrier(sK10))
& subrelstr(sK11,sK10)
& rel_str(sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14,sK15])],[f68,f102,f101,f100,f99,f98,f97]) ).
fof(f108,plain,
! [X0,X1] :
( subset(the_InternalRel(X1),the_InternalRel(X0))
| ~ subrelstr(X1,X0)
| ~ rel_str(X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f110,plain,
! [X2,X0,X1] :
( in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f111,plain,
! [X2,X0,X1] :
( related(X0,X1,X2)
| ~ in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f112,plain,
! [X0,X1] :
( rel_str(X1)
| ~ subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f136,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f138,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f139,plain,
! [X2,X0,X1] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f141,plain,
rel_str(sK10),
inference(cnf_transformation,[],[f103]) ).
fof(f142,plain,
subrelstr(sK11,sK10),
inference(cnf_transformation,[],[f103]) ).
fof(f143,plain,
element(sK12,the_carrier(sK10)),
inference(cnf_transformation,[],[f103]) ).
fof(f144,plain,
element(sK13,the_carrier(sK10)),
inference(cnf_transformation,[],[f103]) ).
fof(f145,plain,
element(sK14,the_carrier(sK11)),
inference(cnf_transformation,[],[f103]) ).
fof(f146,plain,
element(sK15,the_carrier(sK11)),
inference(cnf_transformation,[],[f103]) ).
fof(f147,plain,
sK12 = sK14,
inference(cnf_transformation,[],[f103]) ).
fof(f148,plain,
sK13 = sK15,
inference(cnf_transformation,[],[f103]) ).
fof(f149,plain,
related(sK11,sK14,sK15),
inference(cnf_transformation,[],[f103]) ).
fof(f150,plain,
~ related(sK10,sK12,sK13),
inference(cnf_transformation,[],[f103]) ).
fof(f154,plain,
~ related(sK10,sK14,sK15),
inference(definition_unfolding,[],[f150,f147,f148]) ).
fof(f155,plain,
element(sK15,the_carrier(sK10)),
inference(definition_unfolding,[],[f144,f148]) ).
fof(f156,plain,
element(sK14,the_carrier(sK10)),
inference(definition_unfolding,[],[f143,f147]) ).
cnf(c_53,plain,
( ~ subrelstr(X0,X1)
| ~ rel_str(X0)
| ~ rel_str(X1)
| subset(the_InternalRel(X0),the_InternalRel(X1)) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_55,plain,
( ~ in(ordered_pair(X0,X1),the_InternalRel(X2))
| ~ element(X0,the_carrier(X2))
| ~ element(X1,the_carrier(X2))
| ~ rel_str(X2)
| related(X2,X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_56,plain,
( ~ related(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| in(ordered_pair(X1,X2),the_InternalRel(X0)) ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_57,plain,
( ~ subrelstr(X0,X1)
| ~ rel_str(X1)
| rel_str(X0) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_81,plain,
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_82,plain,
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_84,plain,
( ~ element(X0,powerset(X1))
| ~ in(X2,X0)
| element(X2,X1) ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_85,plain,
( ~ element(X0,powerset(X1))
| ~ in(X2,X0)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_86,negated_conjecture,
~ related(sK10,sK14,sK15),
inference(cnf_transformation,[],[f154]) ).
cnf(c_87,negated_conjecture,
related(sK11,sK14,sK15),
inference(cnf_transformation,[],[f149]) ).
cnf(c_88,negated_conjecture,
element(sK15,the_carrier(sK11)),
inference(cnf_transformation,[],[f146]) ).
cnf(c_89,negated_conjecture,
element(sK14,the_carrier(sK11)),
inference(cnf_transformation,[],[f145]) ).
cnf(c_90,negated_conjecture,
element(sK15,the_carrier(sK10)),
inference(cnf_transformation,[],[f155]) ).
cnf(c_91,negated_conjecture,
element(sK14,the_carrier(sK10)),
inference(cnf_transformation,[],[f156]) ).
cnf(c_92,negated_conjecture,
subrelstr(sK11,sK10),
inference(cnf_transformation,[],[f142]) ).
cnf(c_93,negated_conjecture,
rel_str(sK10),
inference(cnf_transformation,[],[f141]) ).
cnf(c_128,plain,
( ~ subrelstr(X0,X1)
| ~ rel_str(X1)
| subset(the_InternalRel(X0),the_InternalRel(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_53,c_57,c_53]) ).
cnf(c_132,plain,
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(prop_impl_just,[status(thm)],[c_82]) ).
cnf(c_269,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| element(X0,X2) ),
inference(bin_hyper_res,[status(thm)],[c_84,c_132]) ).
cnf(c_270,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| ~ empty(X2) ),
inference(bin_hyper_res,[status(thm)],[c_85,c_132]) ).
cnf(c_680,plain,
( X0 != sK14
| X1 != sK15
| X2 != sK10
| ~ in(ordered_pair(X0,X1),the_InternalRel(X2))
| ~ element(X0,the_carrier(X2))
| ~ element(X1,the_carrier(X2))
| ~ rel_str(X2) ),
inference(resolution_lifted,[status(thm)],[c_55,c_86]) ).
cnf(c_681,plain,
( ~ in(ordered_pair(sK14,sK15),the_InternalRel(sK10))
| ~ element(sK14,the_carrier(sK10))
| ~ element(sK15,the_carrier(sK10))
| ~ rel_str(sK10) ),
inference(unflattening,[status(thm)],[c_680]) ).
cnf(c_682,plain,
~ in(ordered_pair(sK14,sK15),the_InternalRel(sK10)),
inference(global_subsumption_just,[status(thm)],[c_681,c_93,c_91,c_90,c_681]) ).
cnf(c_687,plain,
( X0 != sK11
| X1 != sK14
| X2 != sK15
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| in(ordered_pair(X1,X2),the_InternalRel(X0)) ),
inference(resolution_lifted,[status(thm)],[c_56,c_87]) ).
cnf(c_688,plain,
( ~ element(sK14,the_carrier(sK11))
| ~ element(sK15,the_carrier(sK11))
| ~ rel_str(sK11)
| in(ordered_pair(sK14,sK15),the_InternalRel(sK11)) ),
inference(unflattening,[status(thm)],[c_687]) ).
cnf(c_689,plain,
( ~ rel_str(sK11)
| in(ordered_pair(sK14,sK15),the_InternalRel(sK11)) ),
inference(global_subsumption_just,[status(thm)],[c_688,c_89,c_88,c_688]) ).
cnf(c_746,plain,
( X0 != sK11
| X1 != sK10
| ~ rel_str(X1)
| subset(the_InternalRel(X0),the_InternalRel(X1)) ),
inference(resolution_lifted,[status(thm)],[c_128,c_92]) ).
cnf(c_747,plain,
( ~ rel_str(sK10)
| subset(the_InternalRel(sK11),the_InternalRel(sK10)) ),
inference(unflattening,[status(thm)],[c_746]) ).
cnf(c_748,plain,
subset(the_InternalRel(sK11),the_InternalRel(sK10)),
inference(global_subsumption_just,[status(thm)],[c_747,c_93,c_747]) ).
cnf(c_760,plain,
( X0 != sK11
| X1 != sK10
| ~ rel_str(X1)
| rel_str(X0) ),
inference(resolution_lifted,[status(thm)],[c_57,c_92]) ).
cnf(c_761,plain,
( ~ rel_str(sK10)
| rel_str(sK11) ),
inference(unflattening,[status(thm)],[c_760]) ).
cnf(c_762,plain,
rel_str(sK11),
inference(global_subsumption_just,[status(thm)],[c_761,c_93,c_761]) ).
cnf(c_776,plain,
in(ordered_pair(sK14,sK15),the_InternalRel(sK11)),
inference(backward_subsumption_resolution,[status(thm)],[c_689,c_762]) ).
cnf(c_2951,plain,
( ~ subset(the_InternalRel(sK11),X0)
| element(ordered_pair(sK14,sK15),X0) ),
inference(superposition,[status(thm)],[c_776,c_269]) ).
cnf(c_3003,plain,
( ~ subset(the_InternalRel(sK11),X0)
| ~ empty(X0) ),
inference(superposition,[status(thm)],[c_776,c_270]) ).
cnf(c_3167,plain,
( ~ subset(the_InternalRel(sK11),X0)
| in(ordered_pair(sK14,sK15),X0)
| empty(X0) ),
inference(superposition,[status(thm)],[c_2951,c_81]) ).
cnf(c_3278,plain,
( in(ordered_pair(sK14,sK15),X0)
| ~ subset(the_InternalRel(sK11),X0) ),
inference(global_subsumption_just,[status(thm)],[c_3167,c_3003,c_3167]) ).
cnf(c_3279,plain,
( ~ subset(the_InternalRel(sK11),X0)
| in(ordered_pair(sK14,sK15),X0) ),
inference(renaming,[status(thm)],[c_3278]) ).
cnf(c_3290,plain,
~ subset(the_InternalRel(sK11),the_InternalRel(sK10)),
inference(superposition,[status(thm)],[c_3279,c_682]) ).
cnf(c_3292,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3290,c_748]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU362+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n011.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 : Wed Aug 23 13:30:21 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.47/1.16 % SZS status Started for theBenchmark.p
% 0.47/1.16 % SZS status Theorem for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.47/1.16
% 0.47/1.16 ------ iProver source info
% 0.47/1.16
% 0.47/1.16 git: date: 2023-05-31 18:12:56 +0000
% 0.47/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.47/1.16 git: non_committed_changes: false
% 0.47/1.16 git: last_make_outside_of_git: false
% 0.47/1.16
% 0.47/1.16 ------ Parsing...
% 0.47/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 8 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.47/1.16 ------ Proving...
% 0.47/1.16 ------ Problem Properties
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 clauses 38
% 0.47/1.16 conjectures 5
% 0.47/1.16 EPR 17
% 0.47/1.16 Horn 35
% 0.47/1.16 unary 20
% 0.47/1.16 binary 14
% 0.47/1.16 lits 60
% 0.47/1.16 lits eq 3
% 0.47/1.16 fd_pure 0
% 0.47/1.16 fd_pseudo 0
% 0.47/1.16 fd_cond 1
% 0.47/1.16 fd_pseudo_cond 1
% 0.47/1.16 AC symbols 0
% 0.47/1.16
% 0.47/1.16 ------ Schedule dynamic 5 is on
% 0.47/1.16
% 0.47/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------
% 0.47/1.16 Current options:
% 0.47/1.16 ------
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------ Proving...
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 % SZS status Theorem for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.16
% 0.47/1.17
%------------------------------------------------------------------------------