TSTP Solution File: SWV404+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWV404+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 03:14:20 EDT 2024
% Result : Theorem 66.51s 9.78s
% Output : CNFRefutation 66.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of formulae : 126 ( 30 unt; 0 def)
% Number of atoms : 321 ( 131 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 337 ( 142 ~; 155 |; 26 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 285 ( 21 sgn 122 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( ( less_than(X1,X2)
& less_than(X0,X1) )
=> less_than(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
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(f16,axiom,
! [X0] : create_slb = update_slb(create_slb,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
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(f40,axiom,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),findmin_cpq_res(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
fof(f41,axiom,
! [X0] : findmin_cpq_res(X0) = removemin_cpq_res(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
fof(f42,axiom,
! [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',l40_l27) ).
fof(f43,axiom,
! [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',l40_l34) ).
fof(f44,conjecture,
! [X0,X1,X2] :
( ( ok(removemin_cpq_eff(triple(X0,X1,X2)))
& check_cpq(removemin_cpq_eff(triple(X0,X1,X2))) )
=> check_cpq(triple(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l40_co) ).
fof(f45,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ok(removemin_cpq_eff(triple(X0,X1,X2)))
& check_cpq(removemin_cpq_eff(triple(X0,X1,X2))) )
=> check_cpq(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(f54,plain,
! [X0,X1] :
( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
=> strictly_less_than(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f55,plain,
! [X0,X1,X2] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f56,plain,
! [X0,X1,X2] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f58,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(flattening,[],[f57]) ).
fof(f77,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(f78,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,[],[f77]) ).
fof(f79,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(f80,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,[],[f79]) ).
fof(f81,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(f82,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,[],[f81]) ).
fof(f84,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,[],[f42]) ).
fof(f85,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,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
| check_cpq(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f87,plain,
? [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
& ok(removemin_cpq_eff(triple(X0,X1,X2)))
& check_cpq(removemin_cpq_eff(triple(X0,X1,X2))) ),
inference(ennf_transformation,[],[f45]) ).
fof(f88,plain,
? [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
& ok(removemin_cpq_eff(triple(X0,X1,X2)))
& check_cpq(removemin_cpq_eff(triple(X0,X1,X2))) ),
inference(flattening,[],[f87]) ).
fof(f95,plain,
( ? [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
& ok(removemin_cpq_eff(triple(X0,X1,X2)))
& check_cpq(removemin_cpq_eff(triple(X0,X1,X2))) )
=> ( ~ check_cpq(triple(sK0,sK1,sK2))
& ok(removemin_cpq_eff(triple(sK0,sK1,sK2)))
& check_cpq(removemin_cpq_eff(triple(sK0,sK1,sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( ~ check_cpq(triple(sK0,sK1,sK2))
& ok(removemin_cpq_eff(triple(sK0,sK1,sK2)))
& check_cpq(removemin_cpq_eff(triple(sK0,sK1,sK2))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f88,f95]) ).
fof(f97,plain,
! [X2,X0,X1] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f98,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f113,plain,
! [X2,X0,X1] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0,
inference(cnf_transformation,[],[f12]) ).
fof(f117,plain,
! [X0] : create_slb = update_slb(create_slb,X0),
inference(cnf_transformation,[],[f16]) ).
fof(f125,plain,
! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f24]) ).
fof(f138,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,[],[f78]) ).
fof(f139,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,[],[f80]) ).
fof(f140,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,[],[f82]) ).
fof(f143,plain,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),findmin_cpq_res(X0)),
inference(cnf_transformation,[],[f40]) ).
fof(f144,plain,
! [X0] : findmin_cpq_res(X0) = removemin_cpq_res(X0),
inference(cnf_transformation,[],[f41]) ).
fof(f145,plain,
! [X2,X3,X0,X1] :
( check_cpq(triple(X0,X1,X2))
| ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f147,plain,
check_cpq(removemin_cpq_eff(triple(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f96]) ).
fof(f148,plain,
ok(removemin_cpq_eff(triple(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f96]) ).
fof(f149,plain,
~ check_cpq(triple(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f96]) ).
fof(f150,plain,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),removemin_cpq_res(X0)),
inference(definition_unfolding,[],[f143,f144]) ).
fof(f154,plain,
ok(remove_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)),removemin_cpq_res(triple(sK0,sK1,sK2)))),
inference(definition_unfolding,[],[f148,f150]) ).
fof(f155,plain,
check_cpq(remove_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)),removemin_cpq_res(triple(sK0,sK1,sK2)))),
inference(definition_unfolding,[],[f147,f150]) ).
cnf(c_49,plain,
( ~ less_than(X0,X1)
| ~ less_than(X1,X2)
| less_than(X0,X2) ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_50,plain,
( less_than(X0,X1)
| less_than(X1,X0) ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_52,plain,
( ~ less_than(X0,X1)
| less_than(X1,X0)
| strictly_less_than(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
cnf(c_65,plain,
remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0,
inference(cnf_transformation,[],[f113]) ).
cnf(c_69,plain,
update_slb(create_slb,X0) = create_slb,
inference(cnf_transformation,[],[f117]) ).
cnf(c_77,plain,
check_cpq(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f125]) ).
cnf(c_90,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,[],[f138]) ).
cnf(c_91,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,[],[f139]) ).
cnf(c_92,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,[],[f140]) ).
cnf(c_95,plain,
( ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3))
| ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_96,plain,
( ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_97,negated_conjecture,
~ check_cpq(triple(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f149]) ).
cnf(c_98,negated_conjecture,
ok(remove_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)),removemin_cpq_res(triple(sK0,sK1,sK2)))),
inference(cnf_transformation,[],[f154]) ).
cnf(c_99,negated_conjecture,
check_cpq(remove_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)),removemin_cpq_res(triple(sK0,sK1,sK2)))),
inference(cnf_transformation,[],[f155]) ).
cnf(c_133,plain,
( less_than(X1,X0)
| strictly_less_than(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_52,c_50,c_52]) ).
cnf(c_134,plain,
( less_than(X0,X1)
| strictly_less_than(X1,X0) ),
inference(renaming,[status(thm)],[c_133]) ).
cnf(c_135,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_91,c_90,c_91]) ).
cnf(c_181,plain,
X0 = X0,
theory(equality) ).
cnf(c_183,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_184,plain,
( X0 != X1
| X2 != X3
| ~ less_than(X1,X3)
| less_than(X0,X2) ),
theory(equality) ).
cnf(c_195,plain,
( X0 != X1
| X2 != X3
| remove_cpq(X0,X2) = remove_cpq(X1,X3) ),
theory(equality) ).
cnf(c_196,plain,
( X0 != X1
| findmin_cpq_eff(X0) = findmin_cpq_eff(X1) ),
theory(equality) ).
cnf(c_197,plain,
( X0 != X1
| removemin_cpq_res(X0) = removemin_cpq_res(X1) ),
theory(equality) ).
cnf(c_198,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| triple(X0,X2,X4) = triple(X1,X3,X5) ),
theory(equality) ).
cnf(c_199,plain,
( X0 != X1
| ~ check_cpq(X1)
| check_cpq(X0) ),
theory(equality) ).
cnf(c_201,plain,
( X0 != X1
| ~ ok(X1)
| ok(X0) ),
theory(equality) ).
cnf(c_226,plain,
( X0 != triple(X1,X2,X3)
| ~ check_cpq(triple(X1,X2,X3))
| check_cpq(X0) ),
inference(instantiation,[status(thm)],[c_199]) ).
cnf(c_319,plain,
( triple(X0,X1,X2) != X3
| X4 != X3
| X4 = triple(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_183]) ).
cnf(c_320,plain,
( triple(X0,X1,X2) != triple(X3,X4,X5)
| ~ check_cpq(triple(X3,X4,X5))
| check_cpq(triple(X0,X1,X2)) ),
inference(instantiation,[status(thm)],[c_226]) ).
cnf(c_776,plain,
( triple(sK0,sK1,sK2) != triple(X0,X1,X2)
| ~ check_cpq(triple(X0,X1,X2))
| check_cpq(triple(sK0,sK1,sK2)) ),
inference(instantiation,[status(thm)],[c_320]) ).
cnf(c_1178,plain,
( ~ less_than(X0,X1)
| less_than(X0,X2)
| less_than(X2,X1) ),
inference(resolution,[status(thm)],[c_49,c_50]) ).
cnf(c_1188,plain,
( ~ check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)))
| check_cpq(triple(sK0,sK1,sK2)) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_1412,plain,
( sK0 != X0
| sK1 != X1
| sK2 != X2
| triple(sK0,sK1,sK2) = triple(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_198]) ).
cnf(c_1555,plain,
findmin_cpq_eff(triple(sK0,sK1,sK2)) = findmin_cpq_eff(triple(sK0,sK1,sK2)),
inference(instantiation,[status(thm)],[c_181]) ).
cnf(c_2933,plain,
( X0 != X1
| ~ less_than(X1,X2)
| less_than(X0,X2) ),
inference(resolution,[status(thm)],[c_184,c_181]) ).
cnf(c_3975,plain,
( X0 != X1
| X2 != X3
| ~ check_cpq(remove_cpq(X1,X3))
| check_cpq(remove_cpq(X0,X2)) ),
inference(resolution,[status(thm)],[c_195,c_199]) ).
cnf(c_3976,plain,
( X0 != X1
| X2 != X3
| ~ ok(remove_cpq(X1,X3))
| ok(remove_cpq(X0,X2)) ),
inference(resolution,[status(thm)],[c_195,c_201]) ).
cnf(c_6307,plain,
( findmin_cpq_eff(triple(sK0,sK1,sK2)) != triple(X0,X1,X2)
| ~ check_cpq(triple(X0,X1,X2))
| check_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2))) ),
inference(instantiation,[status(thm)],[c_226]) ).
cnf(c_7808,plain,
( sK0 != X0
| sK1 != X1
| sK2 != sK2
| triple(sK0,sK1,sK2) = triple(X0,X1,sK2) ),
inference(instantiation,[status(thm)],[c_1412]) ).
cnf(c_7809,plain,
sK2 = sK2,
inference(instantiation,[status(thm)],[c_181]) ).
cnf(c_7885,plain,
( findmin_cpq_eff(triple(sK0,sK1,sK2)) != X0
| triple(X1,X2,X3) != X0
| findmin_cpq_eff(triple(sK0,sK1,sK2)) = triple(X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_319]) ).
cnf(c_12585,plain,
( X0 != X1
| ~ less_than(findmin_cpq_eff(X1),X2)
| less_than(findmin_cpq_eff(X0),X2) ),
inference(resolution,[status(thm)],[c_2933,c_196]) ).
cnf(c_15638,plain,
sK0 = sK0,
inference(instantiation,[status(thm)],[c_181]) ).
cnf(c_17580,plain,
( findmin_cpq_eff(triple(sK0,sK1,sK2)) != findmin_cpq_eff(triple(sK0,sK1,sK2))
| triple(X0,X1,X2) != findmin_cpq_eff(triple(sK0,sK1,sK2))
| findmin_cpq_eff(triple(sK0,sK1,sK2)) = triple(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_7885]) ).
cnf(c_26063,plain,
( sK0 != sK0
| sK1 != X0
| sK2 != sK2
| triple(sK0,sK1,sK2) = triple(sK0,X0,sK2) ),
inference(instantiation,[status(thm)],[c_7808]) ).
cnf(c_26065,plain,
( sK0 != sK0
| sK1 != create_slb
| sK2 != sK2
| triple(sK0,sK1,sK2) = triple(sK0,create_slb,sK2) ),
inference(instantiation,[status(thm)],[c_26063]) ).
cnf(c_28561,plain,
( X0 != X1
| less_than(findmin_cpq_eff(X0),X2)
| less_than(X2,findmin_cpq_eff(X1)) ),
inference(resolution,[status(thm)],[c_12585,c_50]) ).
cnf(c_29005,plain,
( less_than(findmin_cpq_eff(update_slb(create_slb,X0)),X1)
| less_than(X1,findmin_cpq_eff(create_slb)) ),
inference(resolution,[status(thm)],[c_28561,c_69]) ).
cnf(c_29649,plain,
( less_than(findmin_cpq_eff(update_slb(create_slb,X0)),X1)
| less_than(X2,findmin_cpq_eff(create_slb))
| less_than(X1,X2) ),
inference(resolution,[status(thm)],[c_29005,c_1178]) ).
cnf(c_32996,plain,
( X0 != findmin_cpq_eff(triple(sK0,sK1,sK2))
| X1 != removemin_cpq_res(triple(sK0,sK1,sK2))
| check_cpq(remove_cpq(X0,X1)) ),
inference(resolution,[status(thm)],[c_3975,c_99]) ).
cnf(c_33034,plain,
( X0 != findmin_cpq_eff(triple(sK0,sK1,sK2))
| X1 != removemin_cpq_res(triple(sK0,sK1,sK2))
| ok(remove_cpq(X0,X1)) ),
inference(resolution,[status(thm)],[c_3976,c_98]) ).
cnf(c_33145,plain,
( X0 != findmin_cpq_eff(triple(sK0,sK1,sK2))
| check_cpq(remove_cpq(X0,remove_slb(insert_slb(removemin_cpq_res(triple(sK0,sK1,sK2)),pair(X1,X2)),X1))) ),
inference(resolution,[status(thm)],[c_32996,c_65]) ).
cnf(c_33151,plain,
( X0 != findmin_cpq_eff(triple(sK0,sK1,sK2))
| X1 != triple(sK0,sK1,sK2)
| check_cpq(remove_cpq(X0,removemin_cpq_res(X1))) ),
inference(resolution,[status(thm)],[c_32996,c_197]) ).
cnf(c_33284,plain,
( X0 != findmin_cpq_eff(triple(sK0,sK1,sK2))
| ok(remove_cpq(X0,remove_slb(insert_slb(removemin_cpq_res(triple(sK0,sK1,sK2)),pair(X1,X2)),X1))) ),
inference(resolution,[status(thm)],[c_33034,c_65]) ).
cnf(c_34306,plain,
( X0 != triple(sK0,sK1,sK2)
| ~ less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0))
| ~ contains_slb(sK1,findmin_pqp_res(sK0))
| sK1 = create_slb
| check_cpq(remove_cpq(triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),sK2),removemin_cpq_res(X0))) ),
inference(resolution,[status(thm)],[c_33151,c_92]) ).
cnf(c_36117,plain,
( triple(X0,X1,X2) != findmin_cpq_eff(triple(sK0,sK1,sK2))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),remove_slb(insert_slb(removemin_cpq_res(triple(sK0,sK1,sK2)),pair(X3,X4)),X3)))
| check_cpq(triple(X0,X1,X2)) ),
inference(resolution,[status(thm)],[c_95,c_33284]) ).
cnf(c_40822,plain,
( triple(sK0,sK1,sK2) != triple(sK0,X0,sK2)
| ~ check_cpq(triple(sK0,X0,sK2))
| check_cpq(triple(sK0,sK1,sK2)) ),
inference(instantiation,[status(thm)],[c_776]) ).
cnf(c_40823,plain,
( triple(sK0,sK1,sK2) != triple(sK0,create_slb,sK2)
| ~ check_cpq(triple(sK0,create_slb,sK2))
| check_cpq(triple(sK0,sK1,sK2)) ),
inference(instantiation,[status(thm)],[c_40822]) ).
cnf(c_81126,plain,
( ~ check_cpq(remove_cpq(triple(X0,X1,X2),remove_slb(insert_slb(removemin_cpq_res(triple(sK0,sK1,sK2)),pair(X3,X4)),X3)))
| triple(X0,X1,X2) != findmin_cpq_eff(triple(sK0,sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_36117,c_97,c_1188,c_1555,c_6307,c_17580,c_36117]) ).
cnf(c_81127,plain,
( triple(X0,X1,X2) != findmin_cpq_eff(triple(sK0,sK1,sK2))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),remove_slb(insert_slb(removemin_cpq_res(triple(sK0,sK1,sK2)),pair(X3,X4)),X3))) ),
inference(renaming,[status(thm)],[c_81126]) ).
cnf(c_81131,plain,
triple(X0,X1,X2) != findmin_cpq_eff(triple(sK0,sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_81127,c_33145]) ).
cnf(c_81182,plain,
( sK1 = create_slb
| contains_slb(sK1,findmin_pqp_res(sK0)) ),
inference(resolution,[status(thm)],[c_81131,c_90]) ).
cnf(c_81183,plain,
( ~ strictly_less_than(findmin_pqp_res(sK0),lookup_slb(sK1,findmin_pqp_res(sK0)))
| sK1 = create_slb ),
inference(resolution,[status(thm)],[c_81131,c_135]) ).
cnf(c_81184,plain,
( ~ less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0))
| ~ contains_slb(sK1,findmin_pqp_res(sK0))
| sK1 = create_slb ),
inference(resolution,[status(thm)],[c_81131,c_92]) ).
cnf(c_83319,plain,
( sK1 = create_slb
| ~ less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_34306,c_81182,c_81184]) ).
cnf(c_83320,plain,
( ~ less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0))
| sK1 = create_slb ),
inference(renaming,[status(thm)],[c_83319]) ).
cnf(c_83357,plain,
( sK1 = create_slb
| less_than(findmin_cpq_eff(update_slb(create_slb,X0)),lookup_slb(sK1,findmin_pqp_res(sK0)))
| less_than(findmin_pqp_res(sK0),findmin_cpq_eff(create_slb)) ),
inference(resolution,[status(thm)],[c_83320,c_29649]) ).
cnf(c_95589,plain,
( sK1 = create_slb
| less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0)) ),
inference(resolution,[status(thm)],[c_81183,c_134]) ).
cnf(c_96254,plain,
sK1 = create_slb,
inference(global_subsumption_just,[status(thm)],[c_83357,c_83320,c_95589]) ).
cnf(c_107286,plain,
check_cpq(triple(sK0,create_slb,sK2)),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_107287,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_107286,c_96254,c_40823,c_26065,c_15638,c_7809,c_97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV404+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 00:42:51 EDT 2024
% 0.14/0.35 % 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
% 66.51/9.78 % SZS status Started for theBenchmark.p
% 66.51/9.78 % SZS status Theorem for theBenchmark.p
% 66.51/9.78
% 66.51/9.78 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 66.51/9.78
% 66.51/9.78 ------ iProver source info
% 66.51/9.78
% 66.51/9.78 git: date: 2024-05-02 19:28:25 +0000
% 66.51/9.78 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 66.51/9.78 git: non_committed_changes: false
% 66.51/9.78
% 66.51/9.78 ------ Parsing...
% 66.51/9.78 ------ Clausification by vclausify_rel & Parsing by iProver...
% 66.51/9.78
% 66.51/9.78 ------ Preprocessing... sf_s rm: 7 0s sf_e sf_s rm: 2 0s sf_e
% 66.51/9.78
% 66.51/9.78 ------ Preprocessing...
% 66.51/9.78
% 66.51/9.78 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 66.51/9.78 ------ Proving...
% 66.51/9.78 ------ Problem Properties
% 66.51/9.78
% 66.51/9.78
% 66.51/9.78 clauses 46
% 66.51/9.78 conjectures 3
% 66.51/9.78 EPR 8
% 66.51/9.78 Horn 33
% 66.51/9.78 unary 19
% 66.51/9.78 binary 13
% 66.51/9.78 lits 88
% 66.51/9.78 lits eq 27
% 66.51/9.78 fd_pure 0
% 66.51/9.78 fd_pseudo 0
% 66.51/9.78 fd_cond 5
% 66.51/9.78 fd_pseudo_cond 5
% 66.51/9.78 AC symbols 0
% 66.51/9.78
% 66.51/9.78 ------ Input Options Time Limit: Unbounded
% 66.51/9.78
% 66.51/9.78
% 66.51/9.78 ------
% 66.51/9.78 Current options:
% 66.51/9.78 ------
% 66.51/9.78
% 66.51/9.78
% 66.51/9.78
% 66.51/9.78
% 66.51/9.78 ------ Proving...
% 66.51/9.78
% 66.51/9.78
% 66.51/9.78 % SZS status Theorem for theBenchmark.p
% 66.51/9.78
% 66.51/9.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 66.51/9.78
% 66.51/9.78
%------------------------------------------------------------------------------