TSTP Solution File: SWV391+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV391+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 03:14:18 EDT 2024
% Result : Theorem 58.65s 8.78s
% Output : CNFRefutation 58.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 111 ( 17 unt; 0 def)
% Number of atoms : 311 ( 67 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 350 ( 150 ~; 158 |; 25 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 284 ( 17 sgn 153 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality) ).
fof(f4,axiom,
! [X0,X1] :
( strictly_less_than(X0,X1)
<=> ( ~ less_than(X1,X0)
& less_than(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stricly_smaller_definition) ).
fof(f12,axiom,
! [X0,X1,X2] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f28,axiom,
! [X0,X1] :
( ok(triple(X0,X1,bad))
<=> $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
fof(f32,axiom,
! [X0,X1,X2,X3] :
( ( less_than(lookup_slb(X1,X3),X3)
& contains_slb(X1,X3) )
=> remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
fof(f33,axiom,
! [X0,X1,X2,X3] :
( ( strictly_less_than(X3,lookup_slb(X1,X3))
& contains_slb(X1,X3) )
=> remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
fof(f42,axiom,
! [X0,X1,X2] :
( check_cpq(triple(X0,X1,X2))
<=> ! [X3,X4] :
( pair_in_list(X1,X3,X4)
=> less_than(X4,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l27_li4142) ).
fof(f43,axiom,
! [X0,X1,X2] :
( pair_in_list(X0,X1,X2)
=> ! [X3] :
( contains_slb(X0,X3)
=> ( X1 = X3
| pair_in_list(remove_slb(X0,X3),X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l27_li2829) ).
fof(f44,axiom,
! [X0,X1,X2,X3] :
( ( ok(remove_cpq(triple(X0,X1,X2),X3))
& check_cpq(remove_cpq(triple(X0,X1,X2),X3)) )
=> ! [X4] :
( pair_in_list(X1,X3,X4)
=> less_than(X4,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l27_l30) ).
fof(f45,axiom,
! [X0,X1,X2,X3] :
( ok(remove_cpq(triple(X0,X1,X2),X3))
=> contains_slb(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l27_l33) ).
fof(f46,conjecture,
! [X0,X1,X2,X3] :
( ( ok(remove_cpq(triple(X0,X1,X2),X3))
& check_cpq(remove_cpq(triple(X0,X1,X2),X3)) )
=> check_cpq(triple(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l27_co) ).
fof(f47,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ok(remove_cpq(triple(X0,X1,X2),X3))
& check_cpq(remove_cpq(triple(X0,X1,X2),X3)) )
=> check_cpq(triple(X0,X1,X2)) ),
inference(negated_conjecture,[],[f46]) ).
fof(f50,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(true_and_false_elimination,[],[f28]) ).
fof(f51,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(flattening,[],[f50]) ).
fof(f56,plain,
! [X0,X1] :
( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
=> strictly_less_than(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f59,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f60,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(flattening,[],[f59]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3) ),
inference(ennf_transformation,[],[f32]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3) ),
inference(ennf_transformation,[],[f33]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3) ),
inference(flattening,[],[f77]) ).
fof(f86,plain,
! [X0,X1,X2] :
( check_cpq(triple(X0,X1,X2))
<=> ! [X3,X4] :
( less_than(X4,X3)
| ~ pair_in_list(X1,X3,X4) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ! [X3] :
( X1 = X3
| pair_in_list(remove_slb(X0,X3),X1,X2)
| ~ contains_slb(X0,X3) )
| ~ pair_in_list(X0,X1,X2) ),
inference(ennf_transformation,[],[f43]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ! [X3] :
( X1 = X3
| pair_in_list(remove_slb(X0,X3),X1,X2)
| ~ contains_slb(X0,X3) )
| ~ pair_in_list(X0,X1,X2) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( less_than(X4,X3)
| ~ pair_in_list(X1,X3,X4) )
| ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ),
inference(ennf_transformation,[],[f44]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( less_than(X4,X3)
| ~ pair_in_list(X1,X3,X4) )
| ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( contains_slb(X1,X3)
| ~ ok(remove_cpq(triple(X0,X1,X2),X3)) ),
inference(ennf_transformation,[],[f45]) ).
fof(f92,plain,
? [X0,X1,X2,X3] :
( ~ check_cpq(triple(X0,X1,X2))
& ok(remove_cpq(triple(X0,X1,X2),X3))
& check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f93,plain,
? [X0,X1,X2,X3] :
( ~ check_cpq(triple(X0,X1,X2))
& ok(remove_cpq(triple(X0,X1,X2),X3))
& check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ),
inference(flattening,[],[f92]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ( check_cpq(triple(X0,X1,X2))
| ? [X3,X4] :
( ~ less_than(X4,X3)
& pair_in_list(X1,X3,X4) ) )
& ( ! [X3,X4] :
( less_than(X4,X3)
| ~ pair_in_list(X1,X3,X4) )
| ~ check_cpq(triple(X0,X1,X2)) ) ),
inference(nnf_transformation,[],[f86]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( check_cpq(triple(X0,X1,X2))
| ? [X3,X4] :
( ~ less_than(X4,X3)
& pair_in_list(X1,X3,X4) ) )
& ( ! [X5,X6] :
( less_than(X6,X5)
| ~ pair_in_list(X1,X5,X6) )
| ~ check_cpq(triple(X0,X1,X2)) ) ),
inference(rectify,[],[f100]) ).
fof(f102,plain,
! [X1] :
( ? [X3,X4] :
( ~ less_than(X4,X3)
& pair_in_list(X1,X3,X4) )
=> ( ~ less_than(sK1(X1),sK0(X1))
& pair_in_list(X1,sK0(X1),sK1(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ( check_cpq(triple(X0,X1,X2))
| ( ~ less_than(sK1(X1),sK0(X1))
& pair_in_list(X1,sK0(X1),sK1(X1)) ) )
& ( ! [X5,X6] :
( less_than(X6,X5)
| ~ pair_in_list(X1,X5,X6) )
| ~ check_cpq(triple(X0,X1,X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f101,f102]) ).
fof(f104,plain,
( ? [X0,X1,X2,X3] :
( ~ check_cpq(triple(X0,X1,X2))
& ok(remove_cpq(triple(X0,X1,X2),X3))
& check_cpq(remove_cpq(triple(X0,X1,X2),X3)) )
=> ( ~ check_cpq(triple(sK2,sK3,sK4))
& ok(remove_cpq(triple(sK2,sK3,sK4),sK5))
& check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5)) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
( ~ check_cpq(triple(sK2,sK3,sK4))
& ok(remove_cpq(triple(sK2,sK3,sK4),sK5))
& check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f93,f104]) ).
fof(f107,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f109,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f122,plain,
! [X2,X0,X1] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0,
inference(cnf_transformation,[],[f12]) ).
fof(f140,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[],[f51]) ).
fof(f144,plain,
! [X2,X3,X0,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f76]) ).
fof(f145,plain,
! [X2,X3,X0,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f78]) ).
fof(f154,plain,
! [X2,X0,X1,X6,X5] :
( less_than(X6,X5)
| ~ pair_in_list(X1,X5,X6)
| ~ check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f155,plain,
! [X2,X0,X1] :
( check_cpq(triple(X0,X1,X2))
| pair_in_list(X1,sK0(X1),sK1(X1)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f156,plain,
! [X2,X0,X1] :
( check_cpq(triple(X0,X1,X2))
| ~ less_than(sK1(X1),sK0(X1)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f157,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| pair_in_list(remove_slb(X0,X3),X1,X2)
| ~ contains_slb(X0,X3)
| ~ pair_in_list(X0,X1,X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f158,plain,
! [X2,X3,X0,X1,X4] :
( less_than(X4,X3)
| ~ pair_in_list(X1,X3,X4)
| ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f159,plain,
! [X2,X3,X0,X1] :
( contains_slb(X1,X3)
| ~ ok(remove_cpq(triple(X0,X1,X2),X3)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f160,plain,
check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5)),
inference(cnf_transformation,[],[f105]) ).
fof(f161,plain,
ok(remove_cpq(triple(sK2,sK3,sK4),sK5)),
inference(cnf_transformation,[],[f105]) ).
fof(f162,plain,
~ check_cpq(triple(sK2,sK3,sK4)),
inference(cnf_transformation,[],[f105]) ).
cnf(c_50,plain,
( less_than(X0,X1)
| less_than(X1,X0) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_52,plain,
( ~ less_than(X0,X1)
| less_than(X1,X0)
| strictly_less_than(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
cnf(c_65,plain,
remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0,
inference(cnf_transformation,[],[f122]) ).
cnf(c_83,plain,
~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[],[f140]) ).
cnf(c_87,plain,
( ~ less_than(lookup_slb(X0,X1),X1)
| ~ contains_slb(X0,X1)
| triple(remove_pqp(X2,X1),remove_slb(X0,X1),X3) = remove_cpq(triple(X2,X0,X3),X1) ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_88,plain,
( ~ strictly_less_than(X0,lookup_slb(X1,X0))
| ~ contains_slb(X1,X0)
| triple(remove_pqp(X2,X0),remove_slb(X1,X0),bad) = remove_cpq(triple(X2,X1,X3),X0) ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_95,plain,
( ~ less_than(sK1(X0),sK0(X0))
| check_cpq(triple(X1,X0,X2)) ),
inference(cnf_transformation,[],[f156]) ).
cnf(c_96,plain,
( pair_in_list(X0,sK0(X0),sK1(X0))
| check_cpq(triple(X1,X0,X2)) ),
inference(cnf_transformation,[],[f155]) ).
cnf(c_97,plain,
( ~ check_cpq(triple(X0,X1,X2))
| ~ pair_in_list(X1,X3,X4)
| less_than(X4,X3) ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_98,plain,
( ~ pair_in_list(X0,X1,X2)
| ~ contains_slb(X0,X3)
| X1 = X3
| pair_in_list(remove_slb(X0,X3),X1,X2) ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_99,plain,
( ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3))
| ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ pair_in_list(X1,X3,X4)
| less_than(X4,X3) ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_100,plain,
( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_101,negated_conjecture,
~ check_cpq(triple(sK2,sK3,sK4)),
inference(cnf_transformation,[],[f162]) ).
cnf(c_102,negated_conjecture,
ok(remove_cpq(triple(sK2,sK3,sK4),sK5)),
inference(cnf_transformation,[],[f161]) ).
cnf(c_103,negated_conjecture,
check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5)),
inference(cnf_transformation,[],[f160]) ).
cnf(c_138,plain,
( less_than(X1,X0)
| strictly_less_than(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_52,c_50,c_52]) ).
cnf(c_139,plain,
( less_than(X0,X1)
| strictly_less_than(X1,X0) ),
inference(renaming,[status(thm)],[c_138]) ).
cnf(c_186,plain,
X0 = X0,
theory(equality) ).
cnf(c_195,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ pair_in_list(X1,X3,X5)
| pair_in_list(X0,X2,X4) ),
theory(equality) ).
cnf(c_200,plain,
( X0 != X1
| X2 != X3
| remove_cpq(X0,X2) = remove_cpq(X1,X3) ),
theory(equality) ).
cnf(c_204,plain,
( X0 != X1
| ~ check_cpq(X1)
| check_cpq(X0) ),
theory(equality) ).
cnf(c_206,plain,
( X0 != X1
| ~ ok(X1)
| ok(X0) ),
theory(equality) ).
cnf(c_223,plain,
( X0 != remove_cpq(triple(sK2,sK3,sK4),sK5)
| ~ check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5))
| check_cpq(X0) ),
inference(instantiation,[status(thm)],[c_204]) ).
cnf(c_225,plain,
( X0 != remove_cpq(triple(sK2,sK3,sK4),sK5)
| ~ ok(remove_cpq(triple(sK2,sK3,sK4),sK5))
| ok(X0) ),
inference(instantiation,[status(thm)],[c_206]) ).
cnf(c_227,plain,
( pair_in_list(sK3,sK0(sK3),sK1(sK3))
| check_cpq(triple(sK2,sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_229,plain,
( ~ ok(remove_cpq(triple(sK2,sK3,sK4),sK5))
| contains_slb(sK3,sK5) ),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_269,plain,
( ~ less_than(lookup_slb(sK3,sK5),sK5)
| ~ contains_slb(sK3,sK5)
| triple(remove_pqp(X0,sK5),remove_slb(sK3,sK5),X1) = remove_cpq(triple(X0,sK3,X1),sK5) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_274,plain,
( ~ strictly_less_than(sK5,lookup_slb(sK3,sK5))
| ~ contains_slb(sK3,sK5)
| triple(remove_pqp(X0,sK5),remove_slb(sK3,sK5),bad) = remove_cpq(triple(X0,sK3,X1),sK5) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_383,plain,
( ~ less_than(sK1(sK3),sK0(sK3))
| check_cpq(triple(sK2,sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_556,plain,
pair_in_list(sK3,sK0(sK3),sK1(sK3)),
inference(resolution,[status(thm)],[c_101,c_96]) ).
cnf(c_594,plain,
( less_than(lookup_slb(sK3,sK5),sK5)
| strictly_less_than(sK5,lookup_slb(sK3,sK5)) ),
inference(instantiation,[status(thm)],[c_139]) ).
cnf(c_611,plain,
( ~ pair_in_list(X0,X1,X2)
| ~ contains_slb(X0,sK5)
| X1 = sK5
| pair_in_list(remove_slb(X0,sK5),X1,X2) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_650,plain,
( ~ pair_in_list(X0,X1,X2)
| pair_in_list(X0,sK0(X0),sK1(X0))
| less_than(X2,X1) ),
inference(resolution,[status(thm)],[c_97,c_96]) ).
cnf(c_960,plain,
( X0 != X1
| X2 != X3
| ~ check_cpq(remove_cpq(X1,X3))
| check_cpq(remove_cpq(X0,X2)) ),
inference(resolution,[status(thm)],[c_200,c_204]) ).
cnf(c_961,plain,
( X0 != X1
| X2 != X3
| ~ ok(remove_cpq(X1,X3))
| ok(remove_cpq(X0,X2)) ),
inference(resolution,[status(thm)],[c_200,c_206]) ).
cnf(c_1046,plain,
( X0 != triple(sK2,sK3,sK4)
| X1 != sK5
| check_cpq(remove_cpq(X0,X1)) ),
inference(resolution,[status(thm)],[c_960,c_103]) ).
cnf(c_1065,plain,
( X0 != sK5
| check_cpq(remove_cpq(triple(sK2,sK3,sK4),X0)) ),
inference(resolution,[status(thm)],[c_1046,c_186]) ).
cnf(c_1093,plain,
( triple(X0,X1,bad) != remove_cpq(triple(sK2,sK3,sK4),sK5)
| ~ ok(remove_cpq(triple(sK2,sK3,sK4),sK5))
| ok(triple(X0,X1,bad)) ),
inference(instantiation,[status(thm)],[c_225]) ).
cnf(c_2287,plain,
( ~ less_than(lookup_slb(sK3,sK5),sK5)
| ~ contains_slb(sK3,sK5)
| triple(remove_pqp(sK2,sK5),remove_slb(sK3,sK5),sK4) = remove_cpq(triple(sK2,sK3,sK4),sK5) ),
inference(instantiation,[status(thm)],[c_269]) ).
cnf(c_3050,plain,
( ~ pair_in_list(sK3,X0,X1)
| ~ contains_slb(sK3,sK5)
| X0 = sK5
| pair_in_list(remove_slb(sK3,sK5),X0,X1) ),
inference(instantiation,[status(thm)],[c_611]) ).
cnf(c_7026,plain,
( X0 != sK3
| X1 != sK0(sK3)
| X2 != sK1(sK3)
| pair_in_list(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_195,c_556]) ).
cnf(c_7306,plain,
( X0 != sK3
| X1 != sK0(sK3)
| pair_in_list(X0,X1,remove_slb(insert_slb(sK1(sK3),pair(X2,X3)),X2)) ),
inference(resolution,[status(thm)],[c_7026,c_65]) ).
cnf(c_7310,plain,
( X0 != sK3
| X1 != sK0(sK3)
| pair_in_list(X0,X1,sK1(sK3)) ),
inference(resolution,[status(thm)],[c_7026,c_186]) ).
cnf(c_7866,plain,
( ~ pair_in_list(sK3,sK0(sK3),sK1(sK3))
| ~ contains_slb(sK3,sK5)
| sK0(sK3) = sK5
| pair_in_list(remove_slb(sK3,sK5),sK0(sK3),sK1(sK3)) ),
inference(instantiation,[status(thm)],[c_3050]) ).
cnf(c_8797,plain,
( ~ strictly_less_than(sK5,lookup_slb(sK3,sK5))
| ~ contains_slb(sK3,sK5)
| triple(remove_pqp(sK2,sK5),remove_slb(sK3,sK5),bad) = remove_cpq(triple(sK2,sK3,sK4),sK5) ),
inference(instantiation,[status(thm)],[c_274]) ).
cnf(c_8798,plain,
( triple(remove_pqp(sK2,sK5),remove_slb(sK3,sK5),bad) != remove_cpq(triple(sK2,sK3,sK4),sK5)
| ~ ok(remove_cpq(triple(sK2,sK3,sK4),sK5))
| ok(triple(remove_pqp(sK2,sK5),remove_slb(sK3,sK5),bad)) ),
inference(instantiation,[status(thm)],[c_1093]) ).
cnf(c_15329,plain,
( triple(remove_pqp(sK2,sK5),remove_slb(sK3,sK5),sK4) != remove_cpq(triple(sK2,sK3,sK4),sK5)
| ~ check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5))
| check_cpq(triple(remove_pqp(sK2,sK5),remove_slb(sK3,sK5),sK4)) ),
inference(instantiation,[status(thm)],[c_223]) ).
cnf(c_18797,plain,
( ~ pair_in_list(remove_slb(sK3,sK5),sK0(sK3),sK1(sK3))
| ~ check_cpq(triple(X0,remove_slb(sK3,sK5),X1))
| less_than(sK1(sK3),sK0(sK3)) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_21924,plain,
( X0 != sK3
| X1 != sK0(sK3)
| less_than(remove_slb(insert_slb(sK1(sK3),pair(X2,X3)),X2),X1)
| pair_in_list(X0,sK0(X0),sK1(X0)) ),
inference(resolution,[status(thm)],[c_650,c_7306]) ).
cnf(c_21926,plain,
( X0 != sK3
| X1 != sK0(sK3)
| pair_in_list(X0,sK0(X0),sK1(X0))
| less_than(sK1(sK3),X1) ),
inference(resolution,[status(thm)],[c_650,c_7310]) ).
cnf(c_22597,plain,
( X0 != sK3
| pair_in_list(X0,sK0(X0),sK1(X0))
| less_than(sK1(sK3),sK0(sK3)) ),
inference(resolution,[status(thm)],[c_21926,c_186]) ).
cnf(c_23256,plain,
( X0 != sK3
| pair_in_list(X0,sK0(X0),sK1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_21924,c_101,c_383,c_22597]) ).
cnf(c_25360,plain,
~ ok(triple(remove_pqp(sK2,sK5),remove_slb(sK3,sK5),bad)),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_33067,plain,
( ~ check_cpq(triple(remove_pqp(sK2,sK5),remove_slb(sK3,sK5),sK4))
| ~ pair_in_list(remove_slb(sK3,sK5),sK0(sK3),sK1(sK3))
| less_than(sK1(sK3),sK0(sK3)) ),
inference(instantiation,[status(thm)],[c_18797]) ).
cnf(c_53575,plain,
( X0 != triple(sK2,sK3,sK4)
| X1 != sK5
| ok(remove_cpq(X0,X1)) ),
inference(resolution,[status(thm)],[c_961,c_102]) ).
cnf(c_54152,plain,
( X0 != sK5
| ok(remove_cpq(triple(sK2,sK3,sK4),X0)) ),
inference(resolution,[status(thm)],[c_53575,c_186]) ).
cnf(c_54430,plain,
( X0 != sK5
| ~ check_cpq(remove_cpq(triple(sK2,sK3,sK4),X0))
| ~ pair_in_list(sK3,X0,X1)
| less_than(X1,X0) ),
inference(resolution,[status(thm)],[c_54152,c_99]) ).
cnf(c_55900,plain,
( X0 != sK5
| ~ pair_in_list(sK3,X0,X1)
| less_than(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_54430,c_1065,c_54430]) ).
cnf(c_55915,plain,
( sK0(sK3) != sK5
| sK3 != sK3
| less_than(sK1(sK3),sK0(sK3)) ),
inference(resolution,[status(thm)],[c_55900,c_23256]) ).
cnf(c_55916,plain,
( sK0(sK3) != sK5
| less_than(sK1(sK3),sK0(sK3)) ),
inference(equality_resolution_simp,[status(thm)],[c_55915]) ).
cnf(c_55917,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_55916,c_33067,c_25360,c_15329,c_8798,c_8797,c_7866,c_2287,c_594,c_383,c_229,c_227,c_102,c_103,c_101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV391+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n020.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 : Fri May 3 00:22:01 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 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
% 58.65/8.78 % SZS status Started for theBenchmark.p
% 58.65/8.78 % SZS status Theorem for theBenchmark.p
% 58.65/8.78
% 58.65/8.78 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 58.65/8.78
% 58.65/8.78 ------ iProver source info
% 58.65/8.78
% 58.65/8.78 git: date: 2024-05-02 19:28:25 +0000
% 58.65/8.78 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 58.65/8.78 git: non_committed_changes: false
% 58.65/8.78
% 58.65/8.78 ------ Parsing...
% 58.65/8.78 ------ Clausification by vclausify_rel & Parsing by iProver...
% 58.65/8.78
% 58.65/8.78 ------ Preprocessing... sf_s rm: 7 0s sf_e sf_s rm: 2 0s sf_e
% 58.65/8.78
% 58.65/8.78 ------ Preprocessing...
% 58.65/8.78
% 58.65/8.78 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 58.65/8.78 ------ Proving...
% 58.65/8.78 ------ Problem Properties
% 58.65/8.78
% 58.65/8.78
% 58.65/8.78 clauses 50
% 58.65/8.78 conjectures 3
% 58.65/8.78 EPR 8
% 58.65/8.78 Horn 35
% 58.65/8.78 unary 19
% 58.65/8.78 binary 15
% 58.65/8.78 lits 100
% 58.65/8.78 lits eq 28
% 58.65/8.78 fd_pure 0
% 58.65/8.78 fd_pseudo 0
% 58.65/8.78 fd_cond 5
% 58.65/8.78 fd_pseudo_cond 6
% 58.65/8.78 AC symbols 0
% 58.65/8.78
% 58.65/8.78 ------ Input Options Time Limit: Unbounded
% 58.65/8.78
% 58.65/8.78
% 58.65/8.78 ------
% 58.65/8.78 Current options:
% 58.65/8.78 ------
% 58.65/8.78
% 58.65/8.78
% 58.65/8.78
% 58.65/8.78
% 58.65/8.78 ------ Proving...
% 58.65/8.78
% 58.65/8.78
% 58.65/8.78 % SZS status Theorem for theBenchmark.p
% 58.65/8.78
% 58.65/8.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 58.65/8.78
% 58.65/8.79
%------------------------------------------------------------------------------