%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV398+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:17:32 PM UTC 2026
% Result : Theorem 164.03s 36.62s
% Output : CNFRefutation 164.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 150 ( 25 unt; 0 def)
% Number of atoms : 423 ( 114 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 474 ( 201 ~; 227 |; 32 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 324 ( 3 sgn 309 !; 15 ?; 154 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',totality) ).
fof(f4,axiom,
! [X0,X1] :
( strictly_less_than(X0,X1)
<=> ( ~ less_than(X1,X0)
& less_than(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).
fof(f8,axiom,
! [X0] : ~ contains_slb(create_slb,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',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/Axioms/SWV007+2.ax',ax21) ).
fof(f24,axiom,
! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax36) ).
fof(f35,axiom,
! [X0,X1,X2,X3] :
( ( ~ contains_slb(X1,findmin_pqp_res(X0))
& X1 != create_slb )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',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))
& X1 != create_slb )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',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))
& X1 != create_slb )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',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,[status(cth)],[f44]) ).
fof(f48,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))
& X1 != create_slb )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
inference(rectify,[],[f36]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
& contains_slb(X1,findmin_pqp_res(X0))
& X1 != create_slb )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
inference(rectify,[],[f37]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( ~ contains_slb(X1,findmin_pqp_res(X0))
& X1 != create_slb )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
inference(rectify,[],[f35]) ).
fof(f52,plain,
! [X0,X1,X2] :
( check_cpq(triple(X0,X1,X2))
<=> ! [X3,X4] :
( ~ pair_in_list(X1,X3,X4)
| less_than(X4,X3) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f53,plain,
! [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) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f54,plain,
? [X0,X1,X2] :
( ~ check_cpq(triple(X0,X1,X2))
& check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(ennf_transformation,[],[f45]) ).
fof(f60,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(ennf_transformation,[],[f48]) ).
fof(f61,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(flattening,[],[f60]) ).
fof(f64,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(ennf_transformation,[],[f49]) ).
fof(f65,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(flattening,[],[f64]) ).
fof(f70,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(ennf_transformation,[],[f51]) ).
fof(f71,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(flattening,[],[f70]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( ~ check_cpq(triple(X0,X1,X2))
| ! [X3,X4] :
( ~ pair_in_list(X1,X3,X4)
| less_than(X4,X3) ) )
& ( ? [X3,X4] :
( pair_in_list(X1,X3,X4)
& ~ less_than(X4,X3) )
| check_cpq(triple(X0,X1,X2)) ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( ~ check_cpq(triple(X0,X1,X2))
| ! [X5,X6] :
( ~ pair_in_list(X1,X5,X6)
| less_than(X6,X5) ) )
& ( ? [X3,X4] :
( pair_in_list(X1,X3,X4)
& ~ less_than(X4,X3) )
| check_cpq(triple(X0,X1,X2)) ) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ( ~ check_cpq(triple(X0,X1,X2))
| ! [X5,X6] :
( ~ pair_in_list(X1,X5,X6)
| less_than(X6,X5) ) )
& ( ( pair_in_list(X1,sK0(X1),sK1(X1))
& ~ less_than(sK1(X1),sK0(X1)) )
| check_cpq(triple(X0,X1,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X3,sK0(X1)),skolemize(X4,sK1(X1))],[f74]) ).
fof(f76,plain,
! [X0] :
( ! [X4,X5] :
( ~ strictly_less_than(X4,X5)
| ~ pair_in_list(X0,X4,X5) )
| ! [X1] :
? [X2,X3] :
( strictly_less_than(X2,X3)
& pair_in_list(update_slb(X0,X1),X2,X3) ) ),
inference(rectify,[],[f53]) ).
fof(f77,plain,
! [X0] :
( ! [X4,X5] :
( ~ strictly_less_than(X4,X5)
| ~ pair_in_list(X0,X4,X5) )
| ! [X1] :
( strictly_less_than(sK2(X0,X1),sK3(X0,X1))
& pair_in_list(update_slb(X0,X1),sK2(X0,X1),sK3(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f76]) ).
fof(f78,plain,
( ~ check_cpq(triple(sK4,sK5,sK6))
& check_cpq(findmin_cpq_eff(triple(sK4,sK5,sK6))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6)],[f54]) ).
fof(f82,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(f83,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,[],[f82]) ).
fof(f84,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(f85,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,[],[f84]) ).
fof(f86,plain,
! [X2,X0,X1,X6,X5] :
( ~ check_cpq(triple(X0,X1,X2))
| ~ pair_in_list(X1,X5,X6)
| less_than(X6,X5) ),
inference(cnf_transformation,[],[f75]) ).
fof(f87,plain,
! [X2,X0,X1] :
( pair_in_list(X1,sK0(X1),sK1(X1))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ less_than(sK1(X1),sK0(X1))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f89,plain,
! [X0,X1,X4,X5] :
( ~ strictly_less_than(X4,X5)
| ~ pair_in_list(X0,X4,X5)
| strictly_less_than(sK2(X0,X1),sK3(X0,X1)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f90,plain,
! [X0,X1,X4,X5] :
( ~ strictly_less_than(X4,X5)
| ~ pair_in_list(X0,X4,X5)
| pair_in_list(update_slb(X0,X1),sK2(X0,X1),sK3(X0,X1)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f91,plain,
~ check_cpq(triple(sK4,sK5,sK6)),
inference(cnf_transformation,[],[f78]) ).
fof(f92,plain,
check_cpq(findmin_cpq_eff(triple(sK4,sK5,sK6))),
inference(cnf_transformation,[],[f78]) ).
fof(f95,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f105,plain,
! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f24]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ 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(cnf_transformation,[],[f61]) ).
fof(f108,plain,
! [X0,X1] :
( ~ strictly_less_than(X0,X1)
| ~ less_than(X1,X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f110,plain,
! [X0,X1] :
( less_than(X1,X0)
| ~ less_than(X0,X1)
| strictly_less_than(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f114,plain,
! [X2,X3,X0,X1] :
( ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| X1 = X2
| contains_slb(X0,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f115,plain,
! [X2,X3,X0,X1] :
( X1 != X2
| contains_slb(insert_slb(X0,pair(X1,X3)),X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f117,plain,
! [X0] : ~ contains_slb(create_slb,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ 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(cnf_transformation,[],[f65]) ).
fof(f123,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f71]) ).
fof(f130,plain,
! [X2,X3,X0] : contains_slb(insert_slb(X0,pair(X2,X3)),X2),
inference(equality_resolution,[],[f115]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( check_cpq(triple(X1,X0,X2))
| ~ less_than(sK1(X0),sK0(X0)) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( check_cpq(triple(X1,X0,X2))
| pair_in_list(X0,sK0(X0),sK1(X0)) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( less_than(X4,X3)
| ~ pair_in_list(X1,X3,X4)
| ~ check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( pair_in_list(update_slb(X0,X3),sK2(X0,X3),sK3(X0,X3))
| ~ strictly_less_than(X1,X2)
| ~ pair_in_list(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( strictly_less_than(sK2(X0,X3),sK3(X0,X3))
| ~ strictly_less_than(X1,X2)
| ~ pair_in_list(X0,X1,X2) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_54,negated_conjecture,
check_cpq(findmin_cpq_eff(triple(sK4,sK5,sK6))),
inference(cnf_transformation,[],[f92]) ).
tcf(c_55,negated_conjecture,
~ check_cpq(triple(sK4,sK5,sK6)),
inference(cnf_transformation,[],[f91]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] : check_cpq(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f105]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = create_slb )
| ( triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) = findmin_cpq_eff(triple(X0,X1,X2)) )
| ~ contains_slb(X1,findmin_pqp_res(X0))
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0))) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( ~ strictly_less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] : contains_slb(insert_slb(X0,pair(X1,X2)),X1),
inference(cnf_transformation,[],[f130]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( contains_slb(X0,X3)
| ( X1 = X3 )
| ~ contains_slb(insert_slb(X0,pair(X1,X2)),X3) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_80,plain,
! [X0: $i] : ~ contains_slb(create_slb,X0),
inference(cnf_transformation,[],[f117]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = create_slb )
| ( triple(X1,update_slb(X0,findmin_pqp_res(X1)),X2) = findmin_cpq_eff(triple(X1,X0,X2)) )
| ~ contains_slb(X0,findmin_pqp_res(X1))
| ~ less_than(lookup_slb(X0,findmin_pqp_res(X1)),findmin_pqp_res(X1)) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( contains_slb(X1,findmin_pqp_res(X0))
| ( X1 = create_slb )
| ( triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) = findmin_cpq_eff(triple(X0,X1,X2)) ) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_94,plain,
~ contains_slb(create_slb,create_slb),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_95,plain,
check_cpq(triple(create_slb,create_slb,create_slb)),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_98,plain,
contains_slb(insert_slb(create_slb,pair(create_slb,create_slb)),create_slb),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_109,plain,
( contains_slb(create_slb,create_slb)
| ( create_slb = create_slb )
| ~ contains_slb(insert_slb(create_slb,pair(create_slb,create_slb)),create_slb) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] :
( strictly_less_than(X0,X1)
| less_than(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_71,c_58,c_71]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] :
( strictly_less_than(X1,X0)
| less_than(X0,X1) ),
inference(renaming,[status(thm)],[c_117]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = create_slb )
| ( triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) = findmin_cpq_eff(triple(X0,X1,X2)) )
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_69,c_86,c_69]) ).
tcf(c_565,plain,
! [X0: $i,X1: $i] :
( less_than(X0,X1)
| strictly_less_than(X1,X0) ),
inference(prop_impl_just,[status(thm)],[c_118]) ).
tcf(c_566,plain,
! [X0: $i,X1: $i] :
( strictly_less_than(X1,X0)
| less_than(X0,X1) ),
inference(renaming,[status(thm)],[c_565]) ).
tcf(c_1555,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_1557,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1559,plain,
! [X0: $i,X1: $i] :
( check_cpq(X0)
| ~ check_cpq(X1)
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( pair_in_list(X0,X2,X4)
| ~ pair_in_list(X1,X3,X5)
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_2523,plain,
pair_in_list(sK5,sK0(sK5),sK1(sK5)),
inference(superposition,[status(thm)],[c_50,c_55]) ).
tcf(c_2694,plain,
! [X0: $i,X1: $i,X2: $i] :
( less_than(X2,X1)
| pair_in_list(X0,sK0(X0),sK1(X0))
| ~ pair_in_list(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_50,c_51]) ).
tcf(c_2797,plain,
( check_cpq(triple(sK4,sK5,sK6))
| ~ less_than(sK1(sK5),sK0(sK5)) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_2838,plain,
! [X0: $i,X1: $i,X2: $i] :
( less_than(sK1(sK5),sK0(sK5))
| ~ check_cpq(triple(X1,X0,X2))
| ~ pair_in_list(X0,sK0(sK5),sK1(sK5)) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_2839,plain,
( less_than(sK1(sK5),sK0(sK5))
| ~ check_cpq(triple(create_slb,create_slb,create_slb))
| ~ pair_in_list(create_slb,sK0(sK5),sK1(sK5)) ),
inference(instantiation,[status(thm)],[c_2838]) ).
tcf(c_2840,plain,
( strictly_less_than(sK0(sK5),sK1(sK5))
| less_than(sK1(sK5),sK0(sK5)) ),
inference(instantiation,[status(thm)],[c_566]) ).
tcf(c_2891,plain,
! [X0: $i,X1: $i,X2: $i] :
( pair_in_list(X0,X1,X2)
| ~ pair_in_list(sK5,sK0(sK5),sK1(sK5))
| ( X2 != sK1(sK5) )
| ( X1 != sK0(sK5) )
| ( X0 != sK5 ) ),
inference(instantiation,[status(thm)],[c_1561]) ).
tcf(c_3091,plain,
! [X0: $i] :
( strictly_less_than(sK2(sK5,X0),sK3(sK5,X0))
| ~ strictly_less_than(sK0(sK5),sK1(sK5)) ),
inference(superposition,[status(thm)],[c_2523,c_53]) ).
tcf(c_3415,plain,
! [X0: $i] :
( pair_in_list(update_slb(sK5,X0),sK2(sK5,X0),sK3(sK5,X0))
| ~ strictly_less_than(sK0(sK5),sK1(sK5)) ),
inference(superposition,[status(thm)],[c_2523,c_52]) ).
tcf(c_3720,plain,
! [X0: $i] : pair_in_list(update_slb(sK5,X0),sK2(sK5,X0),sK3(sK5,X0)),
inference(global_subsumption_just,[status(thm)],[c_3415,c_55,c_2797,c_2840,c_3415]) ).
tcf(c_3746,plain,
sK1(sK5) = sK1(sK5),
inference(instantiation,[status(thm)],[c_1555]) ).
tcf(c_4047,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK5 )
| ( sK5 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_1557]) ).
tcf(c_4048,plain,
( ( create_slb = sK5 )
| ( create_slb != create_slb )
| ( sK5 != create_slb ) ),
inference(instantiation,[status(thm)],[c_4047]) ).
tcf(c_5230,plain,
sK0(sK5) = sK0(sK5),
inference(instantiation,[status(thm)],[c_1555]) ).
tcf(c_9683,plain,
! [X0: $i,X1: $i] :
( pair_in_list(X0,sK0(sK5),X1)
| ~ pair_in_list(sK5,sK0(sK5),sK1(sK5))
| ( X1 != sK1(sK5) )
| ( X0 != sK5 )
| ( sK0(sK5) != sK0(sK5) ) ),
inference(instantiation,[status(thm)],[c_2891]) ).
tcf(c_21514,plain,
! [X0: $i] :
( less_than(sK3(sK5,X0),sK2(sK5,X0))
| pair_in_list(update_slb(sK5,X0),sK0(update_slb(sK5,X0)),sK1(update_slb(sK5,X0))) ),
inference(superposition,[status(thm)],[c_3720,c_2694]) ).
tcf(c_29902,plain,
! [X0: $i] :
( ~ strictly_less_than(sK2(sK5,X0),sK3(sK5,X0))
| ~ less_than(sK3(sK5,X0),sK2(sK5,X0)) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_32670,plain,
! [X0: $i] :
( pair_in_list(X0,sK0(sK5),sK1(sK5))
| ~ pair_in_list(sK5,sK0(sK5),sK1(sK5))
| ( X0 != sK5 )
| ( sK0(sK5) != sK0(sK5) )
| ( sK1(sK5) != sK1(sK5) ) ),
inference(instantiation,[status(thm)],[c_9683]) ).
tcf(c_32671,plain,
( pair_in_list(create_slb,sK0(sK5),sK1(sK5))
| ~ pair_in_list(sK5,sK0(sK5),sK1(sK5))
| ( create_slb != sK5 )
| ( sK0(sK5) != sK0(sK5) )
| ( sK1(sK5) != sK1(sK5) ) ),
inference(instantiation,[status(thm)],[c_32670]) ).
tcf(c_92365,plain,
pair_in_list(sK5,sK0(sK5),sK1(sK5)),
inference(resolution,[status(thm)],[c_55,c_50]) ).
tcf(c_92829,plain,
! [X0: $i,X1: $i] :
( pair_in_list(update_slb(X0,X1),sK2(X0,X1),sK3(X0,X1))
| ~ strictly_less_than(sK0(sK5),sK1(sK5))
| ~ pair_in_list(X0,sK0(sK5),sK1(sK5)) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_93203,plain,
! [X0: $i,X1: $i,X2: $i] :
( less_than(X2,X1)
| pair_in_list(X0,sK0(X0),sK1(X0))
| ~ pair_in_list(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_51,c_50]) ).
tcf(c_105492,plain,
! [X0: $i] :
( pair_in_list(update_slb(sK5,X0),sK2(sK5,X0),sK3(sK5,X0))
| ~ strictly_less_than(sK0(sK5),sK1(sK5))
| ~ pair_in_list(sK5,sK0(sK5),sK1(sK5)) ),
inference(instantiation,[status(thm)],[c_92829]) ).
tcf(c_113601,plain,
! [X0: $i,X1: $i,X2: $i] :
( contains_slb(X1,findmin_pqp_res(X0))
| check_cpq(triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad))
| ( X1 = create_slb )
| ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2))) ),
inference(resolution,[status(thm)],[c_86,c_1559]) ).
tcf(c_115083,plain,
! [X0: $i,X1: $i,X2: $i] :
( pair_in_list(X0,X1,X2)
| ( X2 != sK1(sK5) )
| ( X1 != sK0(sK5) )
| ( X0 != sK5 ) ),
inference(resolution,[status(thm)],[c_1561,c_92365]) ).
tcf(c_118558,plain,
! [X0: $i,X1: $i] :
( pair_in_list(X0,sK0(sK5),X1)
| ( X1 != sK1(sK5) )
| ( X0 != sK5 ) ),
inference(resolution,[status(thm)],[c_115083,c_1555]) ).
tcf(c_123560,plain,
! [X0: $i] :
( pair_in_list(update_slb(sK5,X0),sK2(sK5,X0),sK3(sK5,X0))
| ~ strictly_less_than(sK0(sK5),sK1(sK5)) ),
inference(resolution,[status(thm)],[c_52,c_92365]) ).
tcf(c_123561,plain,
! [X0: $i,X1: $i,X2: $i] :
( pair_in_list(update_slb(X0,X2),sK2(X0,X2),sK3(X0,X2))
| ~ strictly_less_than(sK0(sK5),X1)
| ( X1 != sK1(sK5) )
| ( X0 != sK5 ) ),
inference(resolution,[status(thm)],[c_52,c_118558]) ).
tcf(c_124798,plain,
! [X0: $i,X1: $i,X2: $i] :
( check_cpq(triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad))
| ( X1 = create_slb )
| ~ check_cpq(findmin_cpq_eff(triple(X0,X1,X2)))
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0))) ),
inference(resolution,[status(thm)],[c_119,c_1559]) ).
tcf(c_126662,plain,
! [X0: $i] : pair_in_list(update_slb(sK5,X0),sK2(sK5,X0),sK3(sK5,X0)),
inference(global_subsumption_just,[status(thm)],[c_123560,c_55,c_2797,c_2840,c_3415]) ).
tcf(c_126670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( pair_in_list(X0,X2,X3)
| ( X3 != sK3(sK5,X1) )
| ( X2 != sK2(sK5,X1) )
| ( X0 != update_slb(sK5,X1) ) ),
inference(resolution,[status(thm)],[c_126662,c_1561]) ).
tcf(c_127437,plain,
! [X0: $i,X1: $i,X2: $i] :
( pair_in_list(X0,sK2(sK5,X1),X2)
| ( X2 != sK3(sK5,X1) )
| ( X0 != update_slb(sK5,X1) ) ),
inference(resolution,[status(thm)],[c_126670,c_1555]) ).
tcf(c_129998,plain,
! [X0: $i,X1: $i] :
( pair_in_list(update_slb(X0,X1),sK2(X0,X1),sK3(X0,X1))
| ~ strictly_less_than(sK0(sK5),sK1(sK5))
| ( X0 != sK5 ) ),
inference(resolution,[status(thm)],[c_123561,c_1555]) ).
tcf(c_132671,plain,
! [X0: $i] :
( less_than(sK3(sK5,X0),sK2(sK5,X0))
| pair_in_list(update_slb(sK5,X0),sK0(update_slb(sK5,X0)),sK1(update_slb(sK5,X0))) ),
inference(resolution,[status(thm)],[c_93203,c_126662]) ).
tcf(c_134966,plain,
! [X0: $i] : pair_in_list(update_slb(sK5,X0),sK0(update_slb(sK5,X0)),sK1(update_slb(sK5,X0))),
inference(global_subsumption_just,[status(thm)],[c_132671,c_55,c_2797,c_2840,c_3091,c_21514,c_29902]) ).
tcf(c_134975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( pair_in_list(X0,X2,X3)
| ( X3 != sK1(update_slb(sK5,X1)) )
| ( X2 != sK0(update_slb(sK5,X1)) )
| ( X0 != update_slb(sK5,X1) ) ),
inference(resolution,[status(thm)],[c_134966,c_1561]) ).
tcf(c_136312,plain,
! [X0: $i,X1: $i,X2: $i] :
( pair_in_list(X0,sK0(update_slb(sK5,X1)),X2)
| ( X2 != sK1(update_slb(sK5,X1)) )
| ( X0 != update_slb(sK5,X1) ) ),
inference(resolution,[status(thm)],[c_134975,c_1555]) ).
tcf(c_142049,plain,
! [X0: $i,X1: $i] :
( pair_in_list(update_slb(X0,X1),sK2(X0,X1),sK3(X0,X1))
| ( X0 != sK5 ) ),
inference(global_subsumption_just,[status(thm)],[c_129998,c_55,c_2797,c_2840,c_129998]) ).
tcf(c_158522,plain,
( contains_slb(sK5,findmin_pqp_res(sK4))
| check_cpq(triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),bad))
| ( sK5 = create_slb ) ),
inference(resolution,[status(thm)],[c_113601,c_54]) ).
tcf(c_163146,plain,
( contains_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_158522,c_94,c_95,c_55,c_98,c_109,c_2523,c_2797,c_2839,c_3746,c_4048,c_5230,c_32671,c_158522]) ).
tcf(c_163525,plain,
! [X0: $i,X1: $i] :
( less_than(X1,X0)
| contains_slb(sK5,findmin_pqp_res(sK4))
| ~ pair_in_list(update_slb(sK5,findmin_pqp_res(sK4)),X0,X1) ),
inference(resolution,[status(thm)],[c_163146,c_51]) ).
tcf(c_163548,plain,
! [X0: $i,X1: $i] :
( contains_slb(sK5,findmin_pqp_res(sK4))
| less_than(X1,sK2(sK5,X0))
| ( X1 != sK3(sK5,X0) )
| ( update_slb(sK5,findmin_pqp_res(sK4)) != update_slb(sK5,X0) ) ),
inference(resolution,[status(thm)],[c_163525,c_127437]) ).
tcf(c_163556,plain,
! [X0: $i,X1: $i] :
( contains_slb(sK5,findmin_pqp_res(sK4))
| less_than(X1,sK0(update_slb(sK5,X0)))
| ( X1 != sK1(update_slb(sK5,X0)) )
| ( update_slb(sK5,findmin_pqp_res(sK4)) != update_slb(sK5,X0) ) ),
inference(resolution,[status(thm)],[c_163525,c_136312]) ).
tcf(c_169347,plain,
( check_cpq(triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),bad))
| ( sK5 = create_slb )
| ~ strictly_less_than(findmin_pqp_res(sK4),lookup_slb(sK5,findmin_pqp_res(sK4))) ),
inference(resolution,[status(thm)],[c_124798,c_54]) ).
tcf(c_169387,plain,
( check_cpq(triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),bad))
| ~ strictly_less_than(findmin_pqp_res(sK4),lookup_slb(sK5,findmin_pqp_res(sK4))) ),
inference(global_subsumption_just,[status(thm)],[c_169347,c_94,c_95,c_55,c_98,c_109,c_2523,c_2797,c_2839,c_3746,c_4048,c_5230,c_32671,c_169347]) ).
tcf(c_169397,plain,
! [X0: $i,X1: $i] :
( less_than(X1,X0)
| ~ strictly_less_than(findmin_pqp_res(sK4),lookup_slb(sK5,findmin_pqp_res(sK4)))
| ~ pair_in_list(update_slb(sK5,findmin_pqp_res(sK4)),X0,X1) ),
inference(resolution,[status(thm)],[c_169387,c_51]) ).
tcf(c_169484,plain,
( less_than(sK3(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4)))
| ~ strictly_less_than(findmin_pqp_res(sK4),lookup_slb(sK5,findmin_pqp_res(sK4)))
| ( sK5 != sK5 ) ),
inference(resolution,[status(thm)],[c_169397,c_142049]) ).
tcf(c_169487,plain,
( less_than(sK3(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4)))
| ~ strictly_less_than(findmin_pqp_res(sK4),lookup_slb(sK5,findmin_pqp_res(sK4))) ),
inference(equality_resolution_simp,[status(thm)],[c_169484]) ).
tcf(c_173627,plain,
! [X0: $i] :
( contains_slb(sK5,findmin_pqp_res(sK4))
| less_than(sK3(sK5,X0),sK2(sK5,X0))
| ( update_slb(sK5,findmin_pqp_res(sK4)) != update_slb(sK5,X0) ) ),
inference(resolution,[status(thm)],[c_163548,c_1555]) ).
tcf(c_177505,plain,
( pair_in_list(update_slb(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4)),sK3(sK5,findmin_pqp_res(sK4)))
| ~ strictly_less_than(sK0(sK5),sK1(sK5))
| ~ pair_in_list(sK5,sK0(sK5),sK1(sK5)) ),
inference(instantiation,[status(thm)],[c_105492]) ).
tcf(c_181876,plain,
! [X0: $i] :
( contains_slb(sK5,findmin_pqp_res(sK4))
| ( update_slb(sK5,findmin_pqp_res(sK4)) != update_slb(sK5,X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_163556,c_55,c_2797,c_2840,c_3091,c_29902,c_173627]) ).
tcf(c_181887,plain,
contains_slb(sK5,findmin_pqp_res(sK4)),
inference(resolution,[status(thm)],[c_181876,c_1555]) ).
tcf(c_183589,plain,
! [X0: $i,X1: $i] :
( strictly_less_than(sK2(X0,X1),sK3(X0,X1))
| ~ strictly_less_than(sK0(sK5),sK1(sK5))
| ~ pair_in_list(X0,sK0(sK5),sK1(sK5)) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_186413,plain,
! [X0: $i] :
( check_cpq(X0)
| ~ check_cpq(findmin_cpq_eff(triple(sK4,sK5,sK6)))
| ( X0 != findmin_cpq_eff(triple(sK4,sK5,sK6)) ) ),
inference(instantiation,[status(thm)],[c_1559]) ).
tcf(c_188026,plain,
! [X0: $i] :
( strictly_less_than(sK2(sK5,X0),sK3(sK5,X0))
| ~ strictly_less_than(sK0(sK5),sK1(sK5))
| ~ pair_in_list(sK5,sK0(sK5),sK1(sK5)) ),
inference(instantiation,[status(thm)],[c_183589]) ).
tcf(c_192212,plain,
! [X0: $i,X1: $i] :
( strictly_less_than(findmin_pqp_res(X1),lookup_slb(X0,findmin_pqp_res(X1)))
| less_than(lookup_slb(X0,findmin_pqp_res(X1)),findmin_pqp_res(X1)) ),
inference(instantiation,[status(thm)],[c_566]) ).
tcf(c_197254,plain,
! [X0: $i,X1: $i] :
( ( sK5 = create_slb )
| ( triple(X0,update_slb(sK5,findmin_pqp_res(X0)),X1) = findmin_cpq_eff(triple(X0,sK5,X1)) )
| ~ contains_slb(sK5,findmin_pqp_res(X0))
| ~ less_than(lookup_slb(sK5,findmin_pqp_res(X0)),findmin_pqp_res(X0)) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_205810,plain,
! [X0: $i] :
( ~ strictly_less_than(sK2(sK5,X0),sK3(sK5,X0))
| ~ less_than(sK3(sK5,X0),sK2(sK5,X0)) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_205866,plain,
! [X0: $i,X1: $i,X2: $i] :
( less_than(sK3(sK5,X0),sK2(sK5,X0))
| ~ check_cpq(triple(X1,update_slb(sK5,X0),X2))
| ~ pair_in_list(update_slb(sK5,X0),sK2(sK5,X0),sK3(sK5,X0)) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_224245,plain,
! [X0: $i] :
( ( sK5 = create_slb )
| ( triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),X0) = findmin_cpq_eff(triple(sK4,sK5,X0)) )
| ~ contains_slb(sK5,findmin_pqp_res(sK4))
| ~ less_than(lookup_slb(sK5,findmin_pqp_res(sK4)),findmin_pqp_res(sK4)) ),
inference(instantiation,[status(thm)],[c_197254]) ).
tcf(c_237190,plain,
! [X0: $i,X1: $i,X2: $i] :
( check_cpq(triple(X0,update_slb(sK5,X1),X2))
| ~ check_cpq(findmin_cpq_eff(triple(sK4,sK5,sK6)))
| ( triple(X0,update_slb(sK5,X1),X2) != findmin_cpq_eff(triple(sK4,sK5,sK6)) ) ),
inference(instantiation,[status(thm)],[c_186413]) ).
tcf(c_242570,plain,
( strictly_less_than(findmin_pqp_res(sK4),lookup_slb(sK5,findmin_pqp_res(sK4)))
| less_than(lookup_slb(sK5,findmin_pqp_res(sK4)),findmin_pqp_res(sK4)) ),
inference(instantiation,[status(thm)],[c_192212]) ).
tcf(c_261433,plain,
( ~ strictly_less_than(sK2(sK5,findmin_pqp_res(sK4)),sK3(sK5,findmin_pqp_res(sK4)))
| ~ less_than(sK3(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4))) ),
inference(instantiation,[status(thm)],[c_205810]) ).
tcf(c_276058,plain,
( ( sK5 = create_slb )
| ( triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),sK6) = findmin_cpq_eff(triple(sK4,sK5,sK6)) )
| ~ contains_slb(sK5,findmin_pqp_res(sK4))
| ~ less_than(lookup_slb(sK5,findmin_pqp_res(sK4)),findmin_pqp_res(sK4)) ),
inference(instantiation,[status(thm)],[c_224245]) ).
tcf(c_289313,plain,
( strictly_less_than(sK2(sK5,findmin_pqp_res(sK4)),sK3(sK5,findmin_pqp_res(sK4)))
| ~ strictly_less_than(sK0(sK5),sK1(sK5))
| ~ pair_in_list(sK5,sK0(sK5),sK1(sK5)) ),
inference(instantiation,[status(thm)],[c_188026]) ).
tcf(c_289327,plain,
( check_cpq(triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),sK6))
| ~ check_cpq(findmin_cpq_eff(triple(sK4,sK5,sK6)))
| ( triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),sK6) != findmin_cpq_eff(triple(sK4,sK5,sK6)) ) ),
inference(instantiation,[status(thm)],[c_237190]) ).
tcf(c_306338,plain,
( less_than(sK3(sK5,findmin_pqp_res(sK4)),sK2(sK5,findmin_pqp_res(sK4)))
| ~ check_cpq(triple(sK4,update_slb(sK5,findmin_pqp_res(sK4)),sK6))
| ~ 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_205866]) ).
tcf(c_306339,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_306338,c_289327,c_289313,c_276058,c_261433,c_242570,c_181887,c_177505,c_169487,c_32671,c_5230,c_4048,c_3746,c_2840,c_2839,c_2797,c_2523,c_109,c_98,c_54,c_55,c_95,c_94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV398+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 19:28:58 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 164.03/36.62 % SZS status Started for theBenchmark.p
% 164.03/36.62 % SZS status Theorem for theBenchmark.p
% 164.03/36.62
% 164.03/36.62 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 164.03/36.62
% 164.03/36.62 % ------ iProver source info
% 164.03/36.62
% 164.03/36.62 % git: date: 2026-07-19 20:42:38 +0200
% 164.03/36.62 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 164.03/36.62 % git: non_committed_changes: false
% 164.03/36.62
% 164.03/36.62 % ------ Parsing...
% 164.03/36.62 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 164.03/36.62
% 164.03/36.62 % ------ Preprocessing... sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 164.03/36.62
% 164.03/36.62 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 164.03/36.62
% 164.03/36.62 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 164.03/36.62 % ------ Proving...
% 164.03/36.62 % ------ Problem Properties
% 164.03/36.62
% 164.03/36.62 %
% 164.03/36.62 % clauses 38
% 164.03/36.62 % conjectures 2
% 164.03/36.62 % EPR 8
% 164.03/36.62 % Horn 25
% 164.03/36.62 % unary 13
% 164.03/36.62 % binary 13
% 164.03/36.62 % lits 76
% 164.03/36.62 % lits eq 20
% 164.03/36.62 % fd_pure 0
% 164.03/36.62 % fd_pseudo 0
% 164.03/36.62 % fd_cond 4
% 164.03/36.62 % fd_pseudo_cond 4
% 164.03/36.62 % AC symbols 0
% 164.03/36.62
% 164.03/36.62 % ------ Schedule dynamic 5 is on
% 164.03/36.62
% 164.03/36.62 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 164.03/36.62
% 164.03/36.62
% 164.03/36.62 % ------
% 164.03/36.62 % Current options:
% 164.03/36.62 % ------
% 164.03/36.62
% 164.03/36.62
% 164.03/36.62 %
% 164.03/36.62
% 164.03/36.62 % ------ Proving...
% 164.03/36.62 % Proof_search_loop: time out after: 2190 full_loop iterations
% 164.03/36.62
% 164.03/36.62 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 164.03/36.62
% 164.03/36.62
% 164.03/36.62 % ------
% 164.03/36.62 % Current options:
% 164.03/36.62 % ------
% 164.03/36.62
% 164.03/36.62
% 164.03/36.62 %
% 164.03/36.62
% 164.03/36.62 % ------ Proving...
% 164.03/36.62 % Proof_search_loop: time out after: 2109 full_loop iterations
% 164.03/36.62
% 164.03/36.62 % ------ Option_1: Negative Selections Time Limit: 35.
% 164.03/36.62
% 164.03/36.62
% 164.03/36.62 % ------
% 164.03/36.62 % Current options:
% 164.03/36.62 % ------
% 164.03/36.62
% 164.03/36.62
% 164.03/36.62 %
% 164.03/36.62
% 164.03/36.62 % ------ Proving...
% 164.03/36.62 %
% 164.03/36.62
% 164.03/36.62 % SZS status Theorem for theBenchmark.p
% 164.03/36.62
% 164.03/36.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 164.03/36.62
% 164.03/36.62
%------------------------------------------------------------------------------