%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV391+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n004.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 58.81s 9.94s
% Output : CNFRefutation 58.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 95 ( 14 unt; 0 def)
% Number of atoms : 265 ( 49 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 296 ( 126 ~; 136 |; 19 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 238 ( 0 sgn 226 !; 12 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).
fof(f28,axiom,
! [X0,X1] :
( ok(triple(X0,X1,bad))
<=> $false ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax40) ).
fof(f32,axiom,
! [X0,X1,X2,X3] :
( ( less_than(lookup_slb(X1,X3),X3)
& contains_slb(X1,X3) )
=> remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax44) ).
fof(f33,axiom,
! [X0,X1,X2,X3] :
( ( strictly_less_than(X3,lookup_slb(X1,X3))
& contains_slb(X1,X3) )
=> remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax45) ).
fof(f42,axiom,
! [X0,X1,X2] :
( check_cpq(triple(X0,X1,X2))
<=> ! [X3,X4] :
( pair_in_list(X1,X3,X4)
=> less_than(X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l27_li4142) ).
fof(f43,axiom,
! [X0,X1,X2] :
( pair_in_list(X0,X1,X2)
=> ! [X3] :
( contains_slb(X0,X3)
=> ( X1 = X3
| pair_in_list(remove_slb(X0,X3),X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l27_li2829) ).
fof(f44,axiom,
! [X0,X1,X2,X3] :
( ( ok(remove_cpq(triple(X0,X1,X2),X3))
& check_cpq(remove_cpq(triple(X0,X1,X2),X3)) )
=> ! [X4] :
( pair_in_list(X1,X3,X4)
=> less_than(X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l27_l30) ).
fof(f45,axiom,
! [X0,X1,X2,X3] :
( ok(remove_cpq(triple(X0,X1,X2),X3))
=> contains_slb(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l27_l33) ).
fof(f46,conjecture,
! [X0,X1,X2,X3] :
( ( ok(remove_cpq(triple(X0,X1,X2),X3))
& check_cpq(remove_cpq(triple(X0,X1,X2),X3)) )
=> check_cpq(triple(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l27_co) ).
fof(f47,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( ok(remove_cpq(triple(X0,X1,X2),X3))
& check_cpq(remove_cpq(triple(X0,X1,X2),X3)) )
=> check_cpq(triple(X0,X1,X2)) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f50,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(true_and_false_elimination,[],[f28]) ).
fof(f51,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(flattening,[],[f50]) ).
fof(f56,plain,
! [X0,X1] :
( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
=> strictly_less_than(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f59,plain,
! [X0,X1] :
( less_than(X1,X0)
| ~ less_than(X0,X1)
| strictly_less_than(X0,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f60,plain,
! [X0,X1] :
( less_than(X1,X0)
| ~ less_than(X0,X1)
| strictly_less_than(X0,X1) ),
inference(flattening,[],[f59]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3)
| remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3)
| remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3)
| remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad) ),
inference(ennf_transformation,[],[f33]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3)
| remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad) ),
inference(flattening,[],[f77]) ).
fof(f86,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(f87,plain,
! [X0,X1,X2] :
( ~ pair_in_list(X0,X1,X2)
| ! [X3] :
( ~ contains_slb(X0,X3)
| X1 = X3
| pair_in_list(remove_slb(X0,X3),X1,X2) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ~ pair_in_list(X0,X1,X2)
| ! [X3] :
( ~ contains_slb(X0,X3)
| X1 = X3
| pair_in_list(remove_slb(X0,X3),X1,X2) ) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3))
| ! [X4] :
( ~ pair_in_list(X1,X3,X4)
| less_than(X4,X3) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3))
| ! [X4] :
( ~ pair_in_list(X1,X3,X4)
| less_than(X4,X3) ) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| contains_slb(X1,X3) ),
inference(ennf_transformation,[],[f45]) ).
fof(f92,plain,
? [X0,X1,X2,X3] :
( ok(remove_cpq(triple(X0,X1,X2),X3))
& check_cpq(remove_cpq(triple(X0,X1,X2),X3))
& ~ check_cpq(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f93,plain,
? [X0,X1,X2,X3] :
( ok(remove_cpq(triple(X0,X1,X2),X3))
& check_cpq(remove_cpq(triple(X0,X1,X2),X3))
& ~ check_cpq(triple(X0,X1,X2)) ),
inference(flattening,[],[f92]) ).
fof(f100,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,[],[f86]) ).
fof(f101,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,[],[f100]) ).
fof(f102,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))],[f101]) ).
fof(f103,plain,
( ok(remove_cpq(triple(sK2,sK3,sK4),sK5))
& check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5))
& ~ check_cpq(triple(sK2,sK3,sK4)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f93]) ).
fof(f105,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f107,plain,
! [X0,X1] :
( less_than(X1,X0)
| ~ less_than(X0,X1)
| strictly_less_than(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f138,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[],[f51]) ).
fof(f142,plain,
! [X2,X3,X0,X1] :
( ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3)
| remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f143,plain,
! [X2,X3,X0,X1] :
( ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3)
| remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad) ),
inference(cnf_transformation,[],[f78]) ).
fof(f152,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,[],[f102]) ).
fof(f153,plain,
! [X2,X0,X1] :
( pair_in_list(X1,sK0(X1),sK1(X1))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ less_than(sK1(X1),sK0(X1))
| check_cpq(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( ~ pair_in_list(X0,X1,X2)
| ~ contains_slb(X0,X3)
| X1 = X3
| pair_in_list(remove_slb(X0,X3),X1,X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f156,plain,
! [X2,X3,X0,X1,X4] :
( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3))
| ~ pair_in_list(X1,X3,X4)
| less_than(X4,X3) ),
inference(cnf_transformation,[],[f90]) ).
fof(f157,plain,
! [X2,X3,X0,X1] :
( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f91]) ).
fof(f158,plain,
ok(remove_cpq(triple(sK2,sK3,sK4),sK5)),
inference(cnf_transformation,[],[f103]) ).
fof(f159,plain,
check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5)),
inference(cnf_transformation,[],[f103]) ).
fof(f160,plain,
~ check_cpq(triple(sK2,sK3,sK4)),
inference(cnf_transformation,[],[f103]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[],[f138]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( triple(remove_pqp(X2,X1),remove_slb(X0,X1),X3) = remove_cpq(triple(X2,X0,X3),X1) )
| ~ contains_slb(X0,X1)
| ~ less_than(lookup_slb(X0,X1),X1) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( triple(remove_pqp(X2,X0),remove_slb(X1,X0),bad) = remove_cpq(triple(X2,X1,X3),X0) )
| ~ contains_slb(X1,X0)
| ~ strictly_less_than(X0,lookup_slb(X1,X0)) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( check_cpq(triple(X1,X0,X2))
| ~ less_than(sK1(X0),sK0(X0)) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( check_cpq(triple(X1,X0,X2))
| pair_in_list(X0,sK0(X0),sK1(X0)) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_97,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,[],[f152]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( pair_in_list(remove_slb(X0,X3),X1,X2)
| ( X1 = X3 )
| ~ contains_slb(X0,X3)
| ~ pair_in_list(X0,X1,X2) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( less_than(X4,X3)
| ~ pair_in_list(X1,X3,X4)
| ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( contains_slb(X1,X3)
| ~ ok(remove_cpq(triple(X0,X1,X2),X3)) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_101,negated_conjecture,
~ check_cpq(triple(sK2,sK3,sK4)),
inference(cnf_transformation,[],[f160]) ).
tcf(c_102,negated_conjecture,
check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5)),
inference(cnf_transformation,[],[f159]) ).
tcf(c_103,negated_conjecture,
ok(remove_cpq(triple(sK2,sK3,sK4),sK5)),
inference(cnf_transformation,[],[f158]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] :
( strictly_less_than(X0,X1)
| less_than(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_52,c_50,c_52]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i] :
( strictly_less_than(X1,X0)
| less_than(X0,X1) ),
inference(renaming,[status(thm)],[c_138]) ).
tcf(c_595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( less_than(X2,X3)
| ( triple(remove_pqp(X4,X1),remove_slb(X0,X1),bad) = remove_cpq(triple(X4,X0,X5),X1) )
| ~ contains_slb(X0,X1)
| ( X1 != X3 )
| ( lookup_slb(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_88,c_139]) ).
tcf(c_596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( less_than(lookup_slb(X0,X1),X1)
| ( triple(remove_pqp(X2,X1),remove_slb(X0,X1),bad) = remove_cpq(triple(X2,X0,X3),X1) )
| ~ contains_slb(X0,X1) ),
inference(unflattening,[status(thm)],[c_595]) ).
tcf(c_1160,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_1172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( remove_cpq(X0,X2) = remove_cpq(X1,X3) )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1176,plain,
! [X0: $i,X1: $i] :
( check_cpq(X0)
| ~ check_cpq(X1)
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1178,plain,
! [X0: $i,X1: $i] :
( ok(X0)
| ~ ok(X1)
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1787,plain,
! [X0: $i] :
( check_cpq(X0)
| ~ check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5))
| ( X0 != remove_cpq(triple(sK2,sK3,sK4),sK5) ) ),
inference(instantiation,[status(thm)],[c_1176]) ).
tcf(c_1789,plain,
! [X0: $i] :
( ok(X0)
| ~ ok(remove_cpq(triple(sK2,sK3,sK4),sK5))
| ( X0 != remove_cpq(triple(sK2,sK3,sK4),sK5) ) ),
inference(instantiation,[status(thm)],[c_1178]) ).
tcf(c_1791,plain,
( check_cpq(triple(sK2,sK3,sK4))
| pair_in_list(sK3,sK0(sK3),sK1(sK3)) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_1793,plain,
( contains_slb(sK3,sK5)
| ~ ok(remove_cpq(triple(sK2,sK3,sK4),sK5)) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_1912,plain,
! [X0: $i,X1: $i] :
( less_than(sK1(sK3),sK0(sK3))
| ~ pair_in_list(sK3,sK0(sK3),sK1(sK3))
| ~ ok(remove_cpq(triple(X0,sK3,X1),sK0(sK3)))
| ~ check_cpq(remove_cpq(triple(X0,sK3,X1),sK0(sK3))) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_1921,plain,
! [X0: $i,X1: $i] :
( ( triple(remove_pqp(X0,sK5),remove_slb(sK3,sK5),X1) = remove_cpq(triple(X0,sK3,X1),sK5) )
| ~ contains_slb(sK3,sK5)
| ~ less_than(lookup_slb(sK3,sK5),sK5) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_1922,plain,
! [X0: $i,X1: $i] :
( less_than(lookup_slb(sK3,sK5),sK5)
| ( triple(remove_pqp(X0,sK5),remove_slb(sK3,sK5),bad) = remove_cpq(triple(X0,sK3,X1),sK5) )
| ~ contains_slb(sK3,sK5) ),
inference(instantiation,[status(thm)],[c_596]) ).
tcf(c_1930,plain,
! [X0: $i,X1: $i] :
( pair_in_list(remove_slb(sK3,sK5),X0,X1)
| ( X0 = sK5 )
| ~ contains_slb(sK3,sK5)
| ~ pair_in_list(sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_1990,plain,
! [X0: $i,X1: $i] :
( check_cpq(remove_cpq(X0,X1))
| ~ check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5))
| ( remove_cpq(X0,X1) != remove_cpq(triple(sK2,sK3,sK4),sK5) ) ),
inference(instantiation,[status(thm)],[c_1787]) ).
tcf(c_1991,plain,
! [X0: $i,X1: $i] :
( ( remove_cpq(X0,X1) = remove_cpq(triple(sK2,sK3,sK4),sK5) )
| ( X1 != sK5 )
| ( X0 != triple(sK2,sK3,sK4) ) ),
inference(instantiation,[status(thm)],[c_1172]) ).
tcf(c_2175,plain,
( check_cpq(triple(sK2,sK3,sK4))
| ~ less_than(sK1(sK3),sK0(sK3)) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_3125,plain,
( less_than(lookup_slb(sK3,sK5),sK5)
| ( triple(remove_pqp(sK2,sK5),remove_slb(sK3,sK5),bad) = remove_cpq(triple(sK2,sK3,sK4),sK5) )
| ~ contains_slb(sK3,sK5) ),
inference(instantiation,[status(thm)],[c_1922]) ).
tcf(c_3126,plain,
( ok(triple(remove_pqp(sK2,sK5),remove_slb(sK3,sK5),bad))
| ~ ok(remove_cpq(triple(sK2,sK3,sK4),sK5))
| ( triple(remove_pqp(sK2,sK5),remove_slb(sK3,sK5),bad) != remove_cpq(triple(sK2,sK3,sK4),sK5) ) ),
inference(instantiation,[status(thm)],[c_1789]) ).
tcf(c_3978,plain,
! [X0: $i] :
( ( remove_cpq(triple(sK2,sK3,sK4),X0) = remove_cpq(triple(sK2,sK3,sK4),sK5) )
| ( X0 != sK5 )
| ( triple(sK2,sK3,sK4) != triple(sK2,sK3,sK4) ) ),
inference(instantiation,[status(thm)],[c_1991]) ).
tcf(c_3979,plain,
triple(sK2,sK3,sK4) = triple(sK2,sK3,sK4),
inference(instantiation,[status(thm)],[c_1160]) ).
tcf(c_4152,plain,
( pair_in_list(remove_slb(sK3,sK5),sK0(sK3),sK1(sK3))
| ( sK0(sK3) = sK5 )
| ~ contains_slb(sK3,sK5)
| ~ pair_in_list(sK3,sK0(sK3),sK1(sK3)) ),
inference(instantiation,[status(thm)],[c_1930]) ).
tcf(c_4836,plain,
( ( triple(remove_pqp(sK2,sK5),remove_slb(sK3,sK5),sK4) = remove_cpq(triple(sK2,sK3,sK4),sK5) )
| ~ contains_slb(sK3,sK5)
| ~ less_than(lookup_slb(sK3,sK5),sK5) ),
inference(instantiation,[status(thm)],[c_1921]) ).
tcf(c_4838,plain,
( check_cpq(triple(remove_pqp(sK2,sK5),remove_slb(sK3,sK5),sK4))
| ~ check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5))
| ( triple(remove_pqp(sK2,sK5),remove_slb(sK3,sK5),sK4) != remove_cpq(triple(sK2,sK3,sK4),sK5) ) ),
inference(instantiation,[status(thm)],[c_1787]) ).
tcf(c_8059,plain,
~ ok(triple(remove_pqp(sK2,sK5),remove_slb(sK3,sK5),bad)),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_21103,plain,
( ( remove_cpq(triple(sK2,sK3,sK4),sK0(sK3)) = remove_cpq(triple(sK2,sK3,sK4),sK5) )
| ( sK0(sK3) != sK5 )
| ( triple(sK2,sK3,sK4) != triple(sK2,sK3,sK4) ) ),
inference(instantiation,[status(thm)],[c_3978]) ).
tcf(c_26733,plain,
! [X0: $i,X1: $i] :
( ok(remove_cpq(X0,X1))
| ~ ok(remove_cpq(triple(sK2,sK3,sK4),sK5))
| ( remove_cpq(X0,X1) != remove_cpq(triple(sK2,sK3,sK4),sK5) ) ),
inference(instantiation,[status(thm)],[c_1789]) ).
tcf(c_29432,plain,
( ok(remove_cpq(triple(sK2,sK3,sK4),sK0(sK3)))
| ~ ok(remove_cpq(triple(sK2,sK3,sK4),sK5))
| ( remove_cpq(triple(sK2,sK3,sK4),sK0(sK3)) != remove_cpq(triple(sK2,sK3,sK4),sK5) ) ),
inference(instantiation,[status(thm)],[c_26733]) ).
tcf(c_39561,plain,
! [X0: $i,X1: $i] :
( less_than(sK1(sK3),sK0(sK3))
| ~ check_cpq(triple(X0,remove_slb(sK3,sK5),X1))
| ~ pair_in_list(remove_slb(sK3,sK5),sK0(sK3),sK1(sK3)) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_47194,plain,
( less_than(sK1(sK3),sK0(sK3))
| ~ pair_in_list(sK3,sK0(sK3),sK1(sK3))
| ~ ok(remove_cpq(triple(sK2,sK3,sK4),sK0(sK3)))
| ~ check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK0(sK3))) ),
inference(instantiation,[status(thm)],[c_1912]) ).
tcf(c_57596,plain,
( check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK0(sK3)))
| ~ check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5))
| ( remove_cpq(triple(sK2,sK3,sK4),sK0(sK3)) != remove_cpq(triple(sK2,sK3,sK4),sK5) ) ),
inference(instantiation,[status(thm)],[c_1990]) ).
tcf(c_69747,plain,
( less_than(sK1(sK3),sK0(sK3))
| ~ pair_in_list(remove_slb(sK3,sK5),sK0(sK3),sK1(sK3))
| ~ check_cpq(triple(remove_pqp(sK2,sK5),remove_slb(sK3,sK5),sK4)) ),
inference(instantiation,[status(thm)],[c_39561]) ).
tcf(c_69748,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_69747,c_57596,c_47194,c_29432,c_21103,c_8059,c_4838,c_4836,c_4152,c_3979,c_3126,c_3125,c_2175,c_1793,c_1791,c_102,c_103,c_101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV391+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Thu Sep 24 19:27:21 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 58.81/9.94 % SZS status Started for theBenchmark.p
% 58.81/9.94 % SZS status Theorem for theBenchmark.p
% 58.81/9.94
% 58.81/9.94 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 58.81/9.94
% 58.81/9.94 % ------ iProver source info
% 58.81/9.94
% 58.81/9.94 % git: date: 2026-07-19 20:42:38 +0200
% 58.81/9.94 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 58.81/9.94 % git: non_committed_changes: false
% 58.81/9.94
% 58.81/9.94 % ------ Parsing...
% 58.81/9.94 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 58.81/9.94
% 58.81/9.94 % ------ Preprocessing... sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 58.81/9.94
% 58.81/9.94 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 58.81/9.94
% 58.81/9.94 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 58.81/9.94 % ------ Proving...
% 58.81/9.94 % ------ Problem Properties
% 58.81/9.94
% 58.81/9.94 %
% 58.81/9.94 % clauses 48
% 58.81/9.94 % conjectures 3
% 58.81/9.94 % EPR 6
% 58.81/9.94 % Horn 32
% 58.81/9.94 % unary 18
% 58.81/9.94 % binary 15
% 58.81/9.94 % lits 96
% 58.81/9.94 % lits eq 29
% 58.81/9.94 % fd_pure 0
% 58.81/9.94 % fd_pseudo 0
% 58.81/9.94 % fd_cond 5
% 58.81/9.94 % fd_pseudo_cond 6
% 58.81/9.94 % AC symbols 0
% 58.81/9.94
% 58.81/9.94 % ------ Input Options Time Limit: Unbounded
% 58.81/9.94
% 58.81/9.94
% 58.81/9.94 % ------
% 58.81/9.94 % Current options:
% 58.81/9.94 % ------
% 58.81/9.94
% 58.81/9.94
% 58.81/9.94 %
% 58.81/9.94
% 58.81/9.94 % ------ Proving...
% 58.81/9.94 %
% 58.81/9.94
% 58.81/9.94 % SZS status Theorem for theBenchmark.p
% 58.81/9.94
% 58.81/9.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 58.81/9.94
% 58.81/9.94
%------------------------------------------------------------------------------