TSTP Solution File: SWV391+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV391+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 22:32:50 EDT 2023
% Result : Theorem 21.64s 3.75s
% Output : CNFRefutation 21.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 102 ( 16 unt; 0 def)
% Number of atoms : 290 ( 52 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 328 ( 140 ~; 146 |; 25 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 258 ( 18 sgn; 147 !; 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(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(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_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_595,plain,
( lookup_slb(X0,X1) != X2
| X1 != X3
| ~ contains_slb(X0,X1)
| triple(remove_pqp(X4,X1),remove_slb(X0,X1),bad) = remove_cpq(triple(X4,X0,X5),X1)
| less_than(X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_88,c_139]) ).
cnf(c_596,plain,
( ~ contains_slb(X0,X1)
| triple(remove_pqp(X2,X1),remove_slb(X0,X1),bad) = remove_cpq(triple(X2,X0,X3),X1)
| less_than(lookup_slb(X0,X1),X1) ),
inference(unflattening,[status(thm)],[c_595]) ).
cnf(c_1160,plain,
X0 = X0,
theory(equality) ).
cnf(c_1172,plain,
( X0 != X1
| X2 != X3
| remove_cpq(X0,X2) = remove_cpq(X1,X3) ),
theory(equality) ).
cnf(c_1176,plain,
( X0 != X1
| ~ check_cpq(X1)
| check_cpq(X0) ),
theory(equality) ).
cnf(c_1178,plain,
( X0 != X1
| ~ ok(X1)
| ok(X0) ),
theory(equality) ).
cnf(c_1901,plain,
pair_in_list(sK3,sK0(sK3),sK1(sK3)),
inference(superposition,[status(thm)],[c_96,c_101]) ).
cnf(c_1912,plain,
contains_slb(sK3,sK5),
inference(superposition,[status(thm)],[c_102,c_100]) ).
cnf(c_2608,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_1176]) ).
cnf(c_2610,plain,
( X0 != remove_cpq(triple(sK2,sK3,sK4),sK5)
| ~ ok(remove_cpq(triple(sK2,sK3,sK4),sK5))
| ok(X0) ),
inference(instantiation,[status(thm)],[c_1178]) ).
cnf(c_2612,plain,
( ~ less_than(sK1(sK3),sK0(sK3))
| check_cpq(triple(sK2,sK3,sK4)) ),
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_3078,plain,
( ~ check_cpq(remove_cpq(triple(X0,X1,X2),sK0(sK3)))
| ~ ok(remove_cpq(triple(X0,X1,X2),sK0(sK3)))
| ~ pair_in_list(X1,sK0(sK3),sK1(sK3))
| less_than(sK1(sK3),sK0(sK3)) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_3079,plain,
( ~ pair_in_list(X0,sK0(sK3),sK1(sK3))
| ~ check_cpq(triple(X1,X0,X2))
| less_than(sK1(sK3),sK0(sK3)) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_3278,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_3279,plain,
( ~ contains_slb(sK3,sK5)
| triple(remove_pqp(X0,sK5),remove_slb(sK3,sK5),bad) = remove_cpq(triple(X0,sK3,X1),sK5)
| less_than(lookup_slb(sK3,sK5),sK5) ),
inference(instantiation,[status(thm)],[c_596]) ).
cnf(c_3306,plain,
( remove_cpq(X0,X1) != remove_cpq(triple(sK2,sK3,sK4),sK5)
| ~ check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5))
| check_cpq(remove_cpq(X0,X1)) ),
inference(instantiation,[status(thm)],[c_2608]) ).
cnf(c_3307,plain,
( X0 != triple(sK2,sK3,sK4)
| X1 != sK5
| remove_cpq(X0,X1) = remove_cpq(triple(sK2,sK3,sK4),sK5) ),
inference(instantiation,[status(thm)],[c_1172]) ).
cnf(c_5890,plain,
( ~ contains_slb(sK3,sK5)
| triple(remove_pqp(sK2,sK5),remove_slb(sK3,sK5),bad) = remove_cpq(triple(sK2,sK3,sK4),sK5)
| less_than(lookup_slb(sK3,sK5),sK5) ),
inference(instantiation,[status(thm)],[c_3279]) ).
cnf(c_5891,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_2610]) ).
cnf(c_8014,plain,
( remove_cpq(triple(X0,X1,X2),X3) != remove_cpq(triple(sK2,sK3,sK4),sK5)
| ~ ok(remove_cpq(triple(sK2,sK3,sK4),sK5))
| ok(remove_cpq(triple(X0,X1,X2),X3)) ),
inference(instantiation,[status(thm)],[c_2610]) ).
cnf(c_8020,plain,
( ~ pair_in_list(X0,sK0(sK3),X1)
| ~ contains_slb(X0,X2)
| sK0(sK3) = X2
| pair_in_list(remove_slb(X0,X2),sK0(sK3),X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_9005,plain,
( ~ check_cpq(remove_cpq(triple(X0,sK3,X1),sK0(sK3)))
| ~ ok(remove_cpq(triple(X0,sK3,X1),sK0(sK3)))
| ~ pair_in_list(sK3,sK0(sK3),sK1(sK3))
| less_than(sK1(sK3),sK0(sK3)) ),
inference(instantiation,[status(thm)],[c_3078]) ).
cnf(c_20510,plain,
triple(sK2,sK3,sK4) = triple(sK2,sK3,sK4),
inference(instantiation,[status(thm)],[c_1160]) ).
cnf(c_24307,plain,
( sK0(sK3) != sK5
| X0 != triple(sK2,sK3,sK4)
| remove_cpq(X0,sK0(sK3)) = remove_cpq(triple(sK2,sK3,sK4),sK5) ),
inference(instantiation,[status(thm)],[c_3307]) ).
cnf(c_27456,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_3278]) ).
cnf(c_30185,plain,
~ ok(triple(remove_pqp(sK2,sK5),remove_slb(sK3,sK5),bad)),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_35855,plain,
( ~ pair_in_list(sK3,sK0(sK3),X0)
| ~ contains_slb(sK3,sK5)
| sK0(sK3) = sK5
| pair_in_list(remove_slb(sK3,sK5),sK0(sK3),X0) ),
inference(instantiation,[status(thm)],[c_8020]) ).
cnf(c_48159,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_35855]) ).
cnf(c_49747,plain,
( remove_cpq(triple(X0,sK3,X1),sK0(sK3)) != remove_cpq(triple(sK2,sK3,sK4),sK5)
| ~ check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5))
| check_cpq(remove_cpq(triple(X0,sK3,X1),sK0(sK3))) ),
inference(instantiation,[status(thm)],[c_3306]) ).
cnf(c_64963,plain,
( triple(sK2,sK3,sK4) != triple(sK2,sK3,sK4)
| sK0(sK3) != sK5
| remove_cpq(triple(sK2,sK3,sK4),sK0(sK3)) = remove_cpq(triple(sK2,sK3,sK4),sK5) ),
inference(instantiation,[status(thm)],[c_24307]) ).
cnf(c_83862,plain,
( remove_cpq(triple(sK2,sK3,sK4),X0) != remove_cpq(triple(sK2,sK3,sK4),sK5)
| ~ ok(remove_cpq(triple(sK2,sK3,sK4),sK5))
| ok(remove_cpq(triple(sK2,sK3,sK4),X0)) ),
inference(instantiation,[status(thm)],[c_8014]) ).
cnf(c_84066,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_2608]) ).
cnf(c_91277,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_3079]) ).
cnf(c_99659,plain,
( remove_cpq(triple(sK2,sK3,sK4),sK0(sK3)) != remove_cpq(triple(sK2,sK3,sK4),sK5)
| ~ check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5))
| check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK0(sK3))) ),
inference(instantiation,[status(thm)],[c_49747]) ).
cnf(c_120657,plain,
( remove_cpq(triple(sK2,sK3,sK4),sK0(sK3)) != remove_cpq(triple(sK2,sK3,sK4),sK5)
| ~ ok(remove_cpq(triple(sK2,sK3,sK4),sK5))
| ok(remove_cpq(triple(sK2,sK3,sK4),sK0(sK3))) ),
inference(instantiation,[status(thm)],[c_83862]) ).
cnf(c_123098,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_91277]) ).
cnf(c_128823,plain,
( ~ check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK0(sK3)))
| ~ ok(remove_cpq(triple(sK2,sK3,sK4),sK0(sK3)))
| ~ pair_in_list(sK3,sK0(sK3),sK1(sK3))
| less_than(sK1(sK3),sK0(sK3)) ),
inference(instantiation,[status(thm)],[c_9005]) ).
cnf(c_128824,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_128823,c_123098,c_120657,c_99659,c_84066,c_64963,c_48159,c_30185,c_27456,c_20510,c_5891,c_5890,c_2612,c_1912,c_1901,c_102,c_103,c_101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV391+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 08:09:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 21.64/3.75 % SZS status Started for theBenchmark.p
% 21.64/3.75 % SZS status Theorem for theBenchmark.p
% 21.64/3.75
% 21.64/3.75 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 21.64/3.75
% 21.64/3.75 ------ iProver source info
% 21.64/3.75
% 21.64/3.75 git: date: 2023-05-31 18:12:56 +0000
% 21.64/3.75 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 21.64/3.75 git: non_committed_changes: false
% 21.64/3.75 git: last_make_outside_of_git: false
% 21.64/3.75
% 21.64/3.75 ------ Parsing...
% 21.64/3.75 ------ Clausification by vclausify_rel & Parsing by iProver...
% 21.64/3.75
% 21.64/3.75 ------ Preprocessing... sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 21.64/3.75
% 21.64/3.75 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 21.64/3.75
% 21.64/3.75 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 21.64/3.75 ------ Proving...
% 21.64/3.75 ------ Problem Properties
% 21.64/3.75
% 21.64/3.75
% 21.64/3.75 clauses 48
% 21.64/3.75 conjectures 3
% 21.64/3.75 EPR 6
% 21.64/3.75 Horn 32
% 21.64/3.75 unary 18
% 21.64/3.75 binary 15
% 21.64/3.75 lits 96
% 21.64/3.75 lits eq 29
% 21.64/3.75 fd_pure 0
% 21.64/3.75 fd_pseudo 0
% 21.64/3.75 fd_cond 5
% 21.64/3.75 fd_pseudo_cond 6
% 21.64/3.75 AC symbols 0
% 21.64/3.75
% 21.64/3.75 ------ Schedule dynamic 5 is on
% 21.64/3.75
% 21.64/3.75 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 21.64/3.75
% 21.64/3.75
% 21.64/3.75 ------
% 21.64/3.75 Current options:
% 21.64/3.75 ------
% 21.64/3.75
% 21.64/3.75
% 21.64/3.75
% 21.64/3.75
% 21.64/3.75 ------ Proving...
% 21.64/3.75
% 21.64/3.75
% 21.64/3.75 % SZS status Theorem for theBenchmark.p
% 21.64/3.75
% 21.64/3.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 21.64/3.75
% 21.64/3.75
%------------------------------------------------------------------------------