TSTP Solution File: SWV398+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV398+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 03:14:19 EDT 2024
% Result : Theorem 130.00s 16.79s
% Output : CNFRefutation 130.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 139 ( 22 unt; 0 def)
% Number of atoms : 396 ( 94 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 444 ( 187 ~; 202 |; 38 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 316 ( 26 sgn 158 !; 22 ?)
% 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(f8,axiom,
! [X0] : ~ contains_slb(create_slb,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
<=> ( X1 = X2
| contains_slb(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f24,axiom,
! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f35,axiom,
! [X0,X1,X2,X3] :
( ( ~ contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).
fof(f36,axiom,
! [X0,X1,X2,X3] :
( ( strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
fof(f37,axiom,
! [X0,X1,X2,X3] :
( ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
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',l26_li4142) ).
fof(f43,axiom,
! [X0] :
( ? [X1,X2] :
( strictly_less_than(X1,X2)
& pair_in_list(X0,X1,X2) )
=> ! [X3] :
? [X4,X5] :
( strictly_less_than(X4,X5)
& pair_in_list(update_slb(X0,X3),X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l34_l35) ).
fof(f44,conjecture,
! [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
=> ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l24_co) ).
fof(f45,negated_conjecture,
~ ! [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
=> ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(negated_conjecture,[],[f44]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( ~ contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
inference(rectify,[],[f35]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
inference(rectify,[],[f36]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
inference(rectify,[],[f37]) ).
fof(f74,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f50]) ).
fof(f75,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f51]) ).
fof(f77,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f52]) ).
fof(f79,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f78]) ).
fof(f81,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(f82,plain,
! [X0] :
( ! [X3] :
? [X4,X5] :
( strictly_less_than(X4,X5)
& pair_in_list(update_slb(X0,X3),X4,X5) )
| ! [X1,X2] :
( ~ strictly_less_than(X1,X2)
| ~ pair_in_list(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f83,plain,
? [X0,X1,X2] :
( check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
& ~ check_cpq(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f45]) ).
fof(f84,plain,
! [X0,X1] :
( ( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) )
& ( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
| ~ strictly_less_than(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f85,plain,
! [X0,X1] :
( ( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) )
& ( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
| ~ strictly_less_than(X0,X1) ) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ( X1 != X2
& ~ contains_slb(X0,X2) ) )
& ( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ( X1 != X2
& ~ contains_slb(X0,X2) ) )
& ( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
inference(flattening,[],[f86]) ).
fof(f92,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,[],[f81]) ).
fof(f93,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,[],[f92]) ).
fof(f94,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(f95,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])],[f93,f94]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
? [X2,X3] :
( strictly_less_than(X2,X3)
& pair_in_list(update_slb(X0,X1),X2,X3) )
| ! [X4,X5] :
( ~ strictly_less_than(X4,X5)
| ~ pair_in_list(X0,X4,X5) ) ),
inference(rectify,[],[f82]) ).
fof(f97,plain,
! [X0,X1] :
( ? [X2,X3] :
( strictly_less_than(X2,X3)
& pair_in_list(update_slb(X0,X1),X2,X3) )
=> ( strictly_less_than(sK2(X0,X1),sK3(X0,X1))
& pair_in_list(update_slb(X0,X1),sK2(X0,X1),sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( strictly_less_than(sK2(X0,X1),sK3(X0,X1))
& pair_in_list(update_slb(X0,X1),sK2(X0,X1),sK3(X0,X1)) )
| ! [X4,X5] :
( ~ strictly_less_than(X4,X5)
| ~ pair_in_list(X0,X4,X5) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f96,f97]) ).
fof(f99,plain,
( ? [X0,X1,X2] :
( check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
& ~ check_cpq(triple(X0,X1,X2)) )
=> ( check_cpq(findmin_cpq_eff(triple(sK4,sK5,sK6)))
& ~ check_cpq(triple(sK4,sK5,sK6)) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
( check_cpq(findmin_cpq_eff(triple(sK4,sK5,sK6)))
& ~ check_cpq(triple(sK4,sK5,sK6)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f83,f99]) ).
fof(f102,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f105,plain,
! [X0,X1] :
( ~ less_than(X1,X0)
| ~ strictly_less_than(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f106,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f110,plain,
! [X0] : ~ contains_slb(create_slb,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f111,plain,
! [X2,X3,X0,X1] :
( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f113,plain,
! [X2,X3,X0,X1] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| X1 != X2 ),
inference(cnf_transformation,[],[f87]) ).
fof(f131,plain,
! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f24]) ).
fof(f144,plain,
! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(cnf_transformation,[],[f75]) ).
fof(f145,plain,
! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(cnf_transformation,[],[f77]) ).
fof(f146,plain,
! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(cnf_transformation,[],[f79]) ).
fof(f151,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,[],[f95]) ).
fof(f152,plain,
! [X2,X0,X1] :
( check_cpq(triple(X0,X1,X2))
| pair_in_list(X1,sK0(X1),sK1(X1)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f153,plain,
! [X2,X0,X1] :
( check_cpq(triple(X0,X1,X2))
| ~ less_than(sK1(X1),sK0(X1)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f154,plain,
! [X0,X1,X4,X5] :
( pair_in_list(update_slb(X0,X1),sK2(X0,X1),sK3(X0,X1))
| ~ strictly_less_than(X4,X5)
| ~ pair_in_list(X0,X4,X5) ),
inference(cnf_transformation,[],[f98]) ).
fof(f155,plain,
! [X0,X1,X4,X5] :
( strictly_less_than(sK2(X0,X1),sK3(X0,X1))
| ~ strictly_less_than(X4,X5)
| ~ pair_in_list(X0,X4,X5) ),
inference(cnf_transformation,[],[f98]) ).
fof(f156,plain,
~ check_cpq(triple(sK4,sK5,sK6)),
inference(cnf_transformation,[],[f100]) ).
fof(f157,plain,
check_cpq(findmin_cpq_eff(triple(sK4,sK5,sK6))),
inference(cnf_transformation,[],[f100]) ).
fof(f162,plain,
! [X2,X3,X0] : contains_slb(insert_slb(X0,pair(X2,X3)),X2),
inference(equality_resolution,[],[f113]) ).
cnf(c_50,plain,
( less_than(X0,X1)
| less_than(X1,X0) ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_52,plain,
( ~ less_than(X0,X1)
| less_than(X1,X0)
| strictly_less_than(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_53,plain,
( ~ less_than(X0,X1)
| ~ strictly_less_than(X1,X0) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_58,plain,
~ contains_slb(create_slb,X0),
inference(cnf_transformation,[],[f110]) ).
cnf(c_59,plain,
contains_slb(insert_slb(X0,pair(X1,X2)),X1),
inference(cnf_transformation,[],[f162]) ).
cnf(c_61,plain,
( ~ contains_slb(insert_slb(X0,pair(X1,X2)),X3)
| X1 = X3
| contains_slb(X0,X3) ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_79,plain,
check_cpq(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f131]) ).
cnf(c_92,plain,
( triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) = findmin_cpq_eff(triple(X0,X1,X2))
| X1 = create_slb
| contains_slb(X1,findmin_pqp_res(X0)) ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_93,plain,
( ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) = findmin_cpq_eff(triple(X0,X1,X2))
| X1 = create_slb ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_94,plain,
( ~ less_than(lookup_slb(X0,findmin_pqp_res(X1)),findmin_pqp_res(X1))
| ~ contains_slb(X0,findmin_pqp_res(X1))
| triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2) = findmin_cpq_eff(triple(X1,X0,X2))
| X0 = create_slb ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_97,plain,
( ~ less_than(sK1(X0),sK0(X0))
| check_cpq(triple(X1,X0,X2)) ),
inference(cnf_transformation,[],[f153]) ).
cnf(c_98,plain,
( pair_in_list(X0,sK0(X0),sK1(X0))
| check_cpq(triple(X1,X0,X2)) ),
inference(cnf_transformation,[],[f152]) ).
cnf(c_99,plain,
( ~ check_cpq(triple(X0,X1,X2))
| ~ pair_in_list(X1,X3,X4)
| less_than(X4,X3) ),
inference(cnf_transformation,[],[f151]) ).
cnf(c_100,plain,
( ~ pair_in_list(X0,X1,X2)
| ~ strictly_less_than(X1,X2)
| strictly_less_than(sK2(X0,X3),sK3(X0,X3)) ),
inference(cnf_transformation,[],[f155]) ).
cnf(c_101,plain,
( ~ pair_in_list(X0,X1,X2)
| ~ strictly_less_than(X1,X2)
| pair_in_list(update_slb(X0,X3),sK2(X0,X3),sK3(X0,X3)) ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_102,negated_conjecture,
check_cpq(findmin_cpq_eff(triple(sK4,sK5,sK6))),
inference(cnf_transformation,[],[f157]) ).
cnf(c_103,negated_conjecture,
~ check_cpq(triple(sK4,sK5,sK6)),
inference(cnf_transformation,[],[f156]) ).
cnf(c_107,plain,
~ contains_slb(create_slb,create_slb),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_108,plain,
check_cpq(triple(create_slb,create_slb,create_slb)),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_113,plain,
contains_slb(insert_slb(create_slb,pair(create_slb,create_slb)),create_slb),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_129,plain,
( ~ contains_slb(insert_slb(create_slb,pair(create_slb,create_slb)),create_slb)
| create_slb = create_slb
| contains_slb(create_slb,create_slb) ),
inference(instantiation,[status(thm)],[c_61]) ).
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_140,plain,
( ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) = findmin_cpq_eff(triple(X0,X1,X2))
| X1 = create_slb ),
inference(global_subsumption_just,[status(thm)],[c_93,c_92,c_93]) ).
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_203,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| triple(X0,X2,X4) = triple(X1,X3,X5) ),
theory(equality) ).
cnf(c_204,plain,
( X0 != X1
| ~ check_cpq(X1)
| check_cpq(X0) ),
theory(equality) ).
cnf(c_221,plain,
( X0 != triple(X1,create_slb,X2)
| ~ check_cpq(triple(X1,create_slb,X2))
| check_cpq(X0) ),
inference(instantiation,[status(thm)],[c_204]) ).
cnf(c_223,plain,
( X0 != findmin_cpq_eff(triple(sK4,sK5,sK6))
| ~ check_cpq(findmin_cpq_eff(triple(sK4,sK5,sK6)))
| check_cpq(X0) ),
inference(instantiation,[status(thm)],[c_204]) ).
cnf(c_225,plain,
( pair_in_list(sK5,sK0(sK5),sK1(sK5))
| check_cpq(triple(sK4,sK5,sK6)) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_239,plain,
( less_than(sK1(X0),sK0(X0))
| strictly_less_than(sK0(X0),sK1(X0)) ),
inference(instantiation,[status(thm)],[c_139]) ).
cnf(c_258,plain,
( ~ pair_in_list(sK5,sK0(sK5),sK1(sK5))
| ~ check_cpq(triple(X0,sK5,X1))
| less_than(sK1(sK5),sK0(sK5)) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_259,plain,
( ~ pair_in_list(sK5,sK0(sK5),sK1(sK5))
| ~ check_cpq(triple(create_slb,sK5,create_slb))
| less_than(sK1(sK5),sK0(sK5)) ),
inference(instantiation,[status(thm)],[c_258]) ).
cnf(c_314,plain,
( triple(X0,X1,X2) != triple(X3,create_slb,X4)
| ~ check_cpq(triple(X3,create_slb,X4))
| check_cpq(triple(X0,X1,X2)) ),
inference(instantiation,[status(thm)],[c_221]) ).
cnf(c_315,plain,
( X0 != X1
| X2 != create_slb
| X3 != X4
| triple(X0,X2,X3) = triple(X1,create_slb,X4) ),
inference(instantiation,[status(thm)],[c_203]) ).
cnf(c_333,plain,
( ~ less_than(sK1(sK5),sK0(sK5))
| check_cpq(triple(sK4,sK5,sK6)) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_459,plain,
( less_than(sK1(sK5),sK0(sK5))
| strictly_less_than(sK0(sK5),sK1(sK5)) ),
inference(instantiation,[status(thm)],[c_239]) ).
cnf(c_494,plain,
pair_in_list(sK5,sK0(sK5),sK1(sK5)),
inference(resolution,[status(thm)],[c_103,c_98]) ).
cnf(c_781,plain,
( triple(X0,sK5,X1) != triple(X2,create_slb,X3)
| ~ check_cpq(triple(X2,create_slb,X3))
| check_cpq(triple(X0,sK5,X1)) ),
inference(instantiation,[status(thm)],[c_314]) ).
cnf(c_782,plain,
( triple(create_slb,sK5,create_slb) != triple(create_slb,create_slb,create_slb)
| ~ check_cpq(triple(create_slb,create_slb,create_slb))
| check_cpq(triple(create_slb,sK5,create_slb)) ),
inference(instantiation,[status(thm)],[c_781]) ).
cnf(c_1495,plain,
( ~ pair_in_list(X0,sK0(sK5),sK1(sK5))
| ~ strictly_less_than(sK0(sK5),sK1(sK5))
| strictly_less_than(sK2(X0,X1),sK3(X0,X1)) ),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_2426,plain,
( X0 != X1
| X2 != X3
| sK5 != create_slb
| triple(X0,sK5,X2) = triple(X1,create_slb,X3) ),
inference(instantiation,[status(thm)],[c_315]) ).
cnf(c_2427,plain,
( create_slb != create_slb
| sK5 != create_slb
| triple(create_slb,sK5,create_slb) = triple(create_slb,create_slb,create_slb) ),
inference(instantiation,[status(thm)],[c_2426]) ).
cnf(c_6789,plain,
( ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
| X1 = create_slb
| check_cpq(triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad))
| contains_slb(X1,findmin_pqp_res(X0)) ),
inference(resolution,[status(thm)],[c_92,c_204]) ).
cnf(c_7435,plain,
( ~ less_than(lookup_slb(sK5,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(sK5,findmin_pqp_res(X0))
| triple(X0,update_slb(sK5,findmin_pqp_res(X0)),X1) = findmin_cpq_eff(triple(X0,sK5,X1))
| sK5 = create_slb ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_8660,plain,
( ~ pair_in_list(sK5,sK0(sK5),sK1(sK5))
| ~ strictly_less_than(sK0(sK5),sK1(sK5))
| strictly_less_than(sK2(sK5,X0),sK3(sK5,X0)) ),
inference(instantiation,[status(thm)],[c_1495]) ).
cnf(c_9289,plain,
( X0 != sK5
| X1 != sK0(sK5)
| X2 != sK1(sK5)
| pair_in_list(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_195,c_494]) ).
cnf(c_10071,plain,
( X0 != sK5
| X1 != sK0(sK5)
| pair_in_list(X0,X1,sK1(sK5)) ),
inference(resolution,[status(thm)],[c_9289,c_186]) ).
cnf(c_13482,plain,
( ~ strictly_less_than(sK0(sK5),sK1(sK5))
| strictly_less_than(sK2(sK5,X0),sK3(sK5,X0)) ),
inference(resolution,[status(thm)],[c_100,c_494]) ).
cnf(c_13941,plain,
( X0 != sK5
| X1 != sK0(sK5)
| ~ strictly_less_than(X1,sK1(sK5))
| pair_in_list(update_slb(X0,X2),sK2(X0,X2),sK3(X0,X2)) ),
inference(resolution,[status(thm)],[c_101,c_10071]) ).
cnf(c_13944,plain,
strictly_less_than(sK2(sK5,X0),sK3(sK5,X0)),
inference(global_subsumption_just,[status(thm)],[c_13482,c_103,c_225,c_333,c_459,c_8660]) ).
cnf(c_13951,plain,
~ less_than(sK3(sK5,X0),sK2(sK5,X0)),
inference(resolution,[status(thm)],[c_13944,c_53]) ).
cnf(c_14792,plain,
( ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
| X1 = create_slb
| check_cpq(triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)) ),
inference(resolution,[status(thm)],[c_140,c_204]) ).
cnf(c_17022,plain,
( X0 != sK5
| ~ strictly_less_than(sK0(sK5),sK1(sK5))
| pair_in_list(update_slb(X0,X1),sK2(X0,X1),sK3(X0,X1)) ),
inference(resolution,[status(thm)],[c_13941,c_186]) ).
cnf(c_31415,plain,
( ~ less_than(lookup_slb(sK5,findmin_pqp_res(sK4)),findmin_pqp_res(sK4))
| ~ contains_slb(sK5,findmin_pqp_res(sK4))
| triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),X0) = findmin_cpq_eff(triple(sK4,sK5,X0))
| sK5 = create_slb ),
inference(instantiation,[status(thm)],[c_7435]) ).
cnf(c_35299,plain,
( X0 != sK5
| pair_in_list(update_slb(X0,X1),sK2(X0,X1),sK3(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_17022,c_103,c_333,c_459,c_17022]) ).
cnf(c_40447,plain,
( less_than(lookup_slb(sK5,findmin_pqp_res(sK4)),findmin_pqp_res(sK4))
| strictly_less_than(findmin_pqp_res(sK4),lookup_slb(sK5,findmin_pqp_res(sK4))) ),
inference(instantiation,[status(thm)],[c_139]) ).
cnf(c_50887,plain,
( ~ less_than(lookup_slb(sK5,findmin_pqp_res(sK4)),findmin_pqp_res(sK4))
| ~ contains_slb(sK5,findmin_pqp_res(sK4))
| triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),sK6) = findmin_cpq_eff(triple(sK4,sK5,sK6))
| sK5 = create_slb ),
inference(instantiation,[status(thm)],[c_31415]) ).
cnf(c_50888,plain,
( triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),sK6) != findmin_cpq_eff(triple(sK4,sK5,sK6))
| ~ check_cpq(findmin_cpq_eff(triple(sK4,sK5,sK6)))
| check_cpq(triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),sK6)) ),
inference(instantiation,[status(thm)],[c_223]) ).
cnf(c_153992,plain,
( sK5 = create_slb
| check_cpq(triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),bad))
| contains_slb(sK5,findmin_pqp_res(sK4)) ),
inference(resolution,[status(thm)],[c_6789,c_102]) ).
cnf(c_154214,plain,
( check_cpq(triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),bad))
| contains_slb(sK5,findmin_pqp_res(sK4)) ),
inference(global_subsumption_just,[status(thm)],[c_153992,c_107,c_108,c_103,c_113,c_129,c_225,c_259,c_333,c_782,c_2427,c_153992]) ).
cnf(c_154271,plain,
( ~ pair_in_list(update_slb(sK5,findmin_pqp_res(sK4)),X0,X1)
| contains_slb(sK5,findmin_pqp_res(sK4))
| less_than(X1,X0) ),
inference(resolution,[status(thm)],[c_154214,c_99]) ).
cnf(c_154366,plain,
( sK5 != sK5
| less_than(sK3(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4)))
| contains_slb(sK5,findmin_pqp_res(sK4)) ),
inference(resolution,[status(thm)],[c_154271,c_35299]) ).
cnf(c_154369,plain,
( less_than(sK3(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4)))
| contains_slb(sK5,findmin_pqp_res(sK4)) ),
inference(equality_resolution_simp,[status(thm)],[c_154366]) ).
cnf(c_192020,plain,
contains_slb(sK5,findmin_pqp_res(sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_154369,c_13951]) ).
cnf(c_208582,plain,
( ~ strictly_less_than(findmin_pqp_res(sK4),lookup_slb(sK5,findmin_pqp_res(sK4)))
| sK5 = create_slb
| check_cpq(triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),bad)) ),
inference(resolution,[status(thm)],[c_14792,c_102]) ).
cnf(c_208887,plain,
( ~ strictly_less_than(findmin_pqp_res(sK4),lookup_slb(sK5,findmin_pqp_res(sK4)))
| check_cpq(triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),bad)) ),
inference(global_subsumption_just,[status(thm)],[c_208582,c_107,c_108,c_103,c_113,c_129,c_225,c_259,c_333,c_782,c_2427,c_208582]) ).
cnf(c_208897,plain,
( ~ pair_in_list(update_slb(sK5,findmin_pqp_res(sK4)),X0,X1)
| ~ strictly_less_than(findmin_pqp_res(sK4),lookup_slb(sK5,findmin_pqp_res(sK4)))
| less_than(X1,X0) ),
inference(resolution,[status(thm)],[c_208887,c_99]) ).
cnf(c_208910,plain,
( sK5 != sK5
| ~ strictly_less_than(findmin_pqp_res(sK4),lookup_slb(sK5,findmin_pqp_res(sK4)))
| less_than(sK3(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4))) ),
inference(resolution,[status(thm)],[c_208897,c_35299]) ).
cnf(c_208913,plain,
( ~ strictly_less_than(findmin_pqp_res(sK4),lookup_slb(sK5,findmin_pqp_res(sK4)))
| less_than(sK3(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4))) ),
inference(equality_resolution_simp,[status(thm)],[c_208910]) ).
cnf(c_210299,plain,
( ~ pair_in_list(X0,sK0(sK5),sK1(sK5))
| ~ strictly_less_than(sK0(sK5),sK1(sK5))
| pair_in_list(update_slb(X0,X1),sK2(X0,X1),sK3(X0,X1)) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_210300,plain,
( ~ pair_in_list(X0,sK0(sK5),sK1(sK5))
| ~ strictly_less_than(sK0(sK5),sK1(sK5))
| strictly_less_than(sK2(X0,X1),sK3(X0,X1)) ),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_211107,plain,
( ~ pair_in_list(sK5,sK0(sK5),sK1(sK5))
| ~ strictly_less_than(sK0(sK5),sK1(sK5))
| strictly_less_than(sK2(sK5,X0),sK3(sK5,X0)) ),
inference(instantiation,[status(thm)],[c_210300]) ).
cnf(c_211190,plain,
( ~ pair_in_list(sK5,sK0(sK5),sK1(sK5))
| ~ strictly_less_than(sK0(sK5),sK1(sK5))
| pair_in_list(update_slb(sK5,X0),sK2(sK5,X0),sK3(sK5,X0)) ),
inference(instantiation,[status(thm)],[c_210299]) ).
cnf(c_216217,plain,
( ~ less_than(sK3(sK5,X0),sK2(sK5,X0))
| ~ strictly_less_than(sK2(sK5,X0),sK3(sK5,X0)) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_222986,plain,
( ~ pair_in_list(X0,sK2(sK5,X1),sK3(sK5,X1))
| ~ check_cpq(triple(X2,X0,X3))
| less_than(sK3(sK5,X1),sK2(sK5,X1)) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_245717,plain,
~ strictly_less_than(findmin_pqp_res(sK4),lookup_slb(sK5,findmin_pqp_res(sK4))),
inference(forward_subsumption_resolution,[status(thm)],[c_208913,c_13951]) ).
cnf(c_278348,plain,
( ~ pair_in_list(update_slb(sK5,X0),sK2(sK5,X0),sK3(sK5,X0))
| ~ check_cpq(triple(X1,update_slb(sK5,X0),X2))
| less_than(sK3(sK5,X0),sK2(sK5,X0)) ),
inference(instantiation,[status(thm)],[c_222986]) ).
cnf(c_280649,plain,
( ~ pair_in_list(update_slb(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4)),sK3(sK5,findmin_pqp_res(sK4)))
| ~ check_cpq(triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),sK6))
| less_than(sK3(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4))) ),
inference(instantiation,[status(thm)],[c_278348]) ).
cnf(c_288829,plain,
( ~ less_than(sK3(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4)))
| ~ strictly_less_than(sK2(sK5,findmin_pqp_res(sK4)),sK3(sK5,findmin_pqp_res(sK4))) ),
inference(instantiation,[status(thm)],[c_216217]) ).
cnf(c_299736,plain,
( ~ pair_in_list(sK5,sK0(sK5),sK1(sK5))
| ~ strictly_less_than(sK0(sK5),sK1(sK5))
| strictly_less_than(sK2(sK5,findmin_pqp_res(sK4)),sK3(sK5,findmin_pqp_res(sK4))) ),
inference(instantiation,[status(thm)],[c_211107]) ).
cnf(c_303762,plain,
( ~ pair_in_list(sK5,sK0(sK5),sK1(sK5))
| ~ strictly_less_than(sK0(sK5),sK1(sK5))
| pair_in_list(update_slb(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4)),sK3(sK5,findmin_pqp_res(sK4))) ),
inference(instantiation,[status(thm)],[c_211190]) ).
cnf(c_303763,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_303762,c_299736,c_288829,c_280649,c_245717,c_192020,c_50888,c_50887,c_40447,c_2427,c_782,c_459,c_333,c_259,c_225,c_129,c_113,c_102,c_103,c_108,c_107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV398+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n023.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 00:38:54 EDT 2024
% 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 130.00/16.79 % SZS status Started for theBenchmark.p
% 130.00/16.79 % SZS status Theorem for theBenchmark.p
% 130.00/16.79
% 130.00/16.79 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 130.00/16.79
% 130.00/16.79 ------ iProver source info
% 130.00/16.79
% 130.00/16.79 git: date: 2024-05-02 19:28:25 +0000
% 130.00/16.79 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 130.00/16.79 git: non_committed_changes: false
% 130.00/16.79
% 130.00/16.79 ------ Parsing...
% 130.00/16.79 ------ Clausification by vclausify_rel & Parsing by iProver...
% 130.00/16.79
% 130.00/16.79 ------ Preprocessing... sf_s rm: 7 0s sf_e sf_s rm: 2 0s sf_e
% 130.00/16.79
% 130.00/16.79 ------ Preprocessing...
% 130.00/16.79
% 130.00/16.79 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 130.00/16.79 ------ Proving...
% 130.00/16.79 ------ Problem Properties
% 130.00/16.79
% 130.00/16.79
% 130.00/16.79 clauses 50
% 130.00/16.79 conjectures 2
% 130.00/16.79 EPR 10
% 130.00/16.79 Horn 36
% 130.00/16.79 unary 18
% 130.00/16.79 binary 16
% 130.00/16.79 lits 99
% 130.00/16.79 lits eq 27
% 130.00/16.79 fd_pure 0
% 130.00/16.79 fd_pseudo 0
% 130.00/16.79 fd_cond 5
% 130.00/16.79 fd_pseudo_cond 5
% 130.00/16.79 AC symbols 0
% 130.00/16.79
% 130.00/16.79 ------ Input Options Time Limit: Unbounded
% 130.00/16.79
% 130.00/16.79
% 130.00/16.79 ------
% 130.00/16.79 Current options:
% 130.00/16.79 ------
% 130.00/16.79
% 130.00/16.79
% 130.00/16.79
% 130.00/16.79
% 130.00/16.79 ------ Proving...
% 130.00/16.79
% 130.00/16.79
% 130.00/16.79 % SZS status Theorem for theBenchmark.p
% 130.00/16.79
% 130.00/16.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 130.00/16.79
% 130.00/16.80
%------------------------------------------------------------------------------