%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV384+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 : n012.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 03:17:31 PM UTC 2026
% Result : Theorem 1.82s 0.96s
% Output : CNFRefutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of formulae : 66 ( 13 unt; 0 def)
% Number of atoms : 251 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 332 ( 147 ~; 148 |; 27 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 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 : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-3 aty)
% Number of variables : 213 ( 0 sgn 183 !; 30 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
( ! [X0,X1,X2,X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5)) )
=> ( ~ ok(im_succ_cpq(triple(X3,X4,X5)))
| ~ check_cpq(im_succ_cpq(triple(X3,X4,X5))) ) ) )
=> ! [X6,X7,X8] :
( ( ~ ok(triple(X6,X7,X8))
| ~ check_cpq(triple(X6,X7,X8)) )
=> ! [X9,X10,X11] :
( succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11))
=> ( ~ check_cpq(triple(X9,X10,X11))
| ~ ok(triple(X9,X10,X11)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l20_induction) ).
fof(f43,axiom,
! [X0,X1,X2] :
( ( ~ ok(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,X1,X2)) )
=> ( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l12_l13) ).
fof(f44,conjecture,
! [X0,X1,X2] :
( ( ~ ok(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,X1,X2)) )
=> ! [X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l20_co) ).
fof(f45,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ ok(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,X1,X2)) )
=> ! [X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
=> ( ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ) ) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( ok(triple(X0,X1,X2))
& check_cpq(triple(X0,X1,X2)) )
| ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2))) ),
inference(ennf_transformation,[],[f43]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( ok(triple(X0,X1,X2))
& check_cpq(triple(X0,X1,X2)) )
| ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2))) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
? [X0,X1,X2] :
( ( ~ ok(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,X1,X2)) )
& ? [X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
& check_cpq(triple(X3,X4,X5))
& ok(triple(X3,X4,X5)) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f58,plain,
? [X0,X1,X2] :
( ( ~ ok(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,X1,X2)) )
& ? [X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
& check_cpq(triple(X3,X4,X5))
& ok(triple(X3,X4,X5)) ) ),
inference(flattening,[],[f57]) ).
fof(f62,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
& ( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5)) )
& ok(im_succ_cpq(triple(X3,X4,X5)))
& check_cpq(im_succ_cpq(triple(X3,X4,X5))) )
| ! [X6,X7,X8] :
( ( ok(triple(X6,X7,X8))
& check_cpq(triple(X6,X7,X8)) )
| ! [X9,X10,X11] :
( ~ succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11))
| ~ check_cpq(triple(X9,X10,X11))
| ~ ok(triple(X9,X10,X11)) ) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f63,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
& ( ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5)) )
& ok(im_succ_cpq(triple(X3,X4,X5)))
& check_cpq(im_succ_cpq(triple(X3,X4,X5))) )
| ! [X6,X7,X8] :
( ( ok(triple(X6,X7,X8))
& check_cpq(triple(X6,X7,X8)) )
| ! [X9,X10,X11] :
( ~ succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11))
| ~ check_cpq(triple(X9,X10,X11))
| ~ ok(triple(X9,X10,X11)) ) ) ),
inference(flattening,[],[f62]) ).
fof(f82,plain,
( ( ~ ok(triple(sK0,sK1,sK2))
| ~ check_cpq(triple(sK0,sK1,sK2)) )
& succ_cpq(triple(sK0,sK1,sK2),triple(sK3,sK4,sK5))
& check_cpq(triple(sK3,sK4,sK5))
& ok(triple(sK3,sK4,sK5)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f58]) ).
fof(f84,plain,
( ? [X6,X7,X8,X9,X10,X11] :
( succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11))
& ( ~ ok(triple(X9,X10,X11))
| ~ check_cpq(triple(X9,X10,X11)) )
& ok(im_succ_cpq(triple(X9,X10,X11)))
& check_cpq(im_succ_cpq(triple(X9,X10,X11))) )
| ! [X0,X1,X2] :
( ( ok(triple(X0,X1,X2))
& check_cpq(triple(X0,X1,X2)) )
| ! [X3,X4,X5] :
( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ) ) ),
inference(rectify,[],[f63]) ).
fof(f85,plain,
( ( succ_cpq(triple(sK6,sK7,sK8),triple(sK9,sK10,sK11))
& ( ~ ok(triple(sK9,sK10,sK11))
| ~ check_cpq(triple(sK9,sK10,sK11)) )
& ok(im_succ_cpq(triple(sK9,sK10,sK11)))
& check_cpq(im_succ_cpq(triple(sK9,sK10,sK11))) )
| ! [X0,X1,X2] :
( ( ok(triple(X0,X1,X2))
& check_cpq(triple(X0,X1,X2)) )
| ! [X3,X4,X5] :
( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11)],[f84]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ok(triple(X0,X1,X2))
| ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2))) ),
inference(cnf_transformation,[],[f56]) ).
fof(f89,plain,
! [X2,X0,X1] :
( check_cpq(triple(X0,X1,X2))
| ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2))) ),
inference(cnf_transformation,[],[f56]) ).
fof(f90,plain,
( ~ ok(triple(sK0,sK1,sK2))
| ~ check_cpq(triple(sK0,sK1,sK2)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f91,plain,
succ_cpq(triple(sK0,sK1,sK2),triple(sK3,sK4,sK5)),
inference(cnf_transformation,[],[f82]) ).
fof(f92,plain,
check_cpq(triple(sK3,sK4,sK5)),
inference(cnf_transformation,[],[f82]) ).
fof(f93,plain,
ok(triple(sK3,sK4,sK5)),
inference(cnf_transformation,[],[f82]) ).
fof(f101,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ok(triple(sK9,sK10,sK11))
| ~ check_cpq(triple(sK9,sK10,sK11))
| ok(triple(X0,X1,X2))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f102,plain,
! [X2,X3,X0,X1,X4,X5] :
( ok(im_succ_cpq(triple(sK9,sK10,sK11)))
| ok(triple(X0,X1,X2))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f103,plain,
! [X2,X3,X0,X1,X4,X5] :
( check_cpq(im_succ_cpq(triple(sK9,sK10,sK11)))
| ok(triple(X0,X1,X2))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f104,plain,
! [X2,X3,X0,X1,X4,X5] :
( succ_cpq(triple(sK6,sK7,sK8),triple(sK9,sK10,sK11))
| check_cpq(triple(X0,X1,X2))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f105,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ok(triple(sK9,sK10,sK11))
| ~ check_cpq(triple(sK9,sK10,sK11))
| check_cpq(triple(X0,X1,X2))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X4,X5] :
( ok(im_succ_cpq(triple(sK9,sK10,sK11)))
| check_cpq(triple(X0,X1,X2))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f107,plain,
! [X2,X3,X0,X1,X4,X5] :
( check_cpq(im_succ_cpq(triple(sK9,sK10,sK11)))
| check_cpq(triple(X0,X1,X2))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( check_cpq(triple(X0,X1,X2))
| ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2))) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( ok(triple(X0,X1,X2))
| ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2))) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_51,negated_conjecture,
ok(triple(sK3,sK4,sK5)),
inference(cnf_transformation,[],[f93]) ).
tcf(c_52,negated_conjecture,
check_cpq(triple(sK3,sK4,sK5)),
inference(cnf_transformation,[],[f92]) ).
tcf(c_53,negated_conjecture,
succ_cpq(triple(sK0,sK1,sK2),triple(sK3,sK4,sK5)),
inference(cnf_transformation,[],[f91]) ).
tcf(c_54,negated_conjecture,
( ~ ok(triple(sK0,sK1,sK2))
| ~ check_cpq(triple(sK0,sK1,sK2)) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( check_cpq(triple(X0,X1,X2))
| check_cpq(im_succ_cpq(triple(sK9,sK10,sK11)))
| ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( check_cpq(triple(X0,X1,X2))
| ok(im_succ_cpq(triple(sK9,sK10,sK11)))
| ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( check_cpq(triple(X0,X1,X2))
| ~ ok(triple(sK9,sK10,sK11))
| ~ check_cpq(triple(sK9,sK10,sK11))
| ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( check_cpq(triple(X0,X1,X2))
| succ_cpq(triple(sK6,sK7,sK8),triple(sK9,sK10,sK11))
| ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ok(triple(X0,X1,X2))
| check_cpq(im_succ_cpq(triple(sK9,sK10,sK11)))
| ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ok(triple(X0,X1,X2))
| ok(im_succ_cpq(triple(sK9,sK10,sK11)))
| ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ok(triple(X0,X1,X2))
| ~ ok(triple(sK9,sK10,sK11))
| ~ check_cpq(triple(sK9,sK10,sK11))
| ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_1008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ iPr_def_10
| ~ check_cpq(triple(X3,X4,X5))
| ok(triple(X0,X1,X2))
| ~ ok(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_67]) ).
tcf(c_1009,plain,
( iPr_def_10
| ~ ok(triple(sK9,sK10,sK11))
| ~ check_cpq(triple(sK9,sK10,sK11)) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_67]) ).
tcf(c_2517,plain,
( check_cpq(triple(sK9,sK10,sK11))
| ~ ok(im_succ_cpq(triple(sK9,sK10,sK11)))
| ~ check_cpq(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_2535,plain,
( check_cpq(triple(sK0,sK1,sK2))
| check_cpq(im_succ_cpq(triple(sK9,sK10,sK11)))
| ~ ok(triple(sK3,sK4,sK5))
| ~ check_cpq(triple(sK3,sK4,sK5)) ),
inference(superposition,[status(thm)],[c_53,c_61]) ).
tcf(c_2538,plain,
( check_cpq(triple(sK0,sK1,sK2))
| check_cpq(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2535,c_51,c_52]) ).
tcf(c_2551,plain,
( check_cpq(triple(sK0,sK1,sK2))
| ok(im_succ_cpq(triple(sK9,sK10,sK11)))
| ~ ok(triple(sK3,sK4,sK5))
| ~ check_cpq(triple(sK3,sK4,sK5)) ),
inference(superposition,[status(thm)],[c_53,c_62]) ).
tcf(c_2554,plain,
( check_cpq(triple(sK0,sK1,sK2))
| ok(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2551,c_51,c_52]) ).
tcf(c_2571,plain,
( ok(triple(sK0,sK1,sK2))
| check_cpq(im_succ_cpq(triple(sK9,sK10,sK11)))
| ~ ok(triple(sK3,sK4,sK5))
| ~ check_cpq(triple(sK3,sK4,sK5)) ),
inference(superposition,[status(thm)],[c_53,c_65]) ).
tcf(c_2574,plain,
( ok(triple(sK0,sK1,sK2))
| check_cpq(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2571,c_51,c_52]) ).
tcf(c_2577,plain,
check_cpq(im_succ_cpq(triple(sK9,sK10,sK11))),
inference(global_subsumption_just,[status(thm)],[c_2538,c_54,c_2538,c_2574]) ).
tcf(c_2579,plain,
( ok(triple(sK9,sK10,sK11))
| ~ ok(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(superposition,[status(thm)],[c_2577,c_50]) ).
tcf(c_2580,plain,
( check_cpq(triple(sK9,sK10,sK11))
| ~ ok(im_succ_cpq(triple(sK9,sK10,sK11))) ),
inference(superposition,[status(thm)],[c_2577,c_49]) ).
tcf(c_2593,plain,
( ok(triple(sK9,sK10,sK11))
| check_cpq(triple(sK0,sK1,sK2)) ),
inference(superposition,[status(thm)],[c_2554,c_2579]) ).
tcf(c_2604,plain,
( check_cpq(triple(sK9,sK10,sK11))
| check_cpq(triple(sK0,sK1,sK2)) ),
inference(superposition,[status(thm)],[c_2554,c_2580]) ).
tcf(c_2611,plain,
( check_cpq(triple(sK9,sK10,sK11))
| ~ ok(triple(sK0,sK1,sK2)) ),
inference(superposition,[status(thm)],[c_2604,c_54]) ).
tcf(c_2776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ok(triple(X0,X1,X2))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ),
inference(global_subsumption_just,[status(thm)],[c_66,c_54,c_66,c_1008,c_1009,c_2517,c_2538,c_2574,c_2579]) ).
tcf(c_2777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ok(triple(X0,X1,X2))
| ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ),
inference(renaming,[status(thm)],[c_2776]) ).
tcf(c_2786,plain,
( ok(triple(sK0,sK1,sK2))
| ~ ok(triple(sK3,sK4,sK5))
| ~ check_cpq(triple(sK3,sK4,sK5)) ),
inference(superposition,[status(thm)],[c_53,c_2777]) ).
tcf(c_2791,plain,
ok(triple(sK0,sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_2786,c_51,c_52]) ).
tcf(c_2800,plain,
check_cpq(triple(sK9,sK10,sK11)),
inference(backward_subsumption_resolution,[status(thm)],[c_2611,c_2791]) ).
tcf(c_2801,plain,
~ check_cpq(triple(sK0,sK1,sK2)),
inference(backward_subsumption_resolution,[status(thm)],[c_54,c_2791]) ).
tcf(c_2805,plain,
ok(triple(sK9,sK10,sK11)),
inference(backward_subsumption_resolution,[status(thm)],[c_2593,c_2801]) ).
tcf(c_2808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( check_cpq(triple(X0,X1,X2))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ ok(triple(X3,X4,X5)) ),
inference(global_subsumption_just,[status(thm)],[c_64,c_63,c_2805,c_2800]) ).
tcf(c_2809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( check_cpq(triple(X0,X1,X2))
| ~ ok(triple(X3,X4,X5))
| ~ check_cpq(triple(X3,X4,X5))
| ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ),
inference(renaming,[status(thm)],[c_2808]) ).
tcf(c_2818,plain,
( check_cpq(triple(sK0,sK1,sK2))
| ~ ok(triple(sK3,sK4,sK5))
| ~ check_cpq(triple(sK3,sK4,sK5)) ),
inference(superposition,[status(thm)],[c_53,c_2809]) ).
tcf(c_2823,plain,
check_cpq(triple(sK0,sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_2818,c_51,c_52]) ).
tcf(c_2824,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2823,c_2791,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV384+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Thu Sep 24 19:26:27 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.33 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
% 0.06/0.33
% 0.06/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.06/0.33
% 0.06/0.33 % Detected problem language: tptp
% 0.06/0.34 % Proving...
% 1.82/0.96 % SZS status Started for theBenchmark.p
% 1.82/0.96 % SZS status Theorem for theBenchmark.p
% 1.82/0.96
% 1.82/0.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.82/0.96
% 1.82/0.96 % ------ iProver source info
% 1.82/0.96
% 1.82/0.96 % git: date: 2026-07-19 20:42:38 +0200
% 1.82/0.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.82/0.96 % git: non_committed_changes: false
% 1.82/0.96
% 1.82/0.96 % ------ Parsing...
% 1.82/0.96 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.82/0.96
% 1.82/0.96 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 1.82/0.96
% 1.82/0.96 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.82/0.96
% 1.82/0.96 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.82/0.96 % ------ Proving...
% 1.82/0.96 % ------ Problem Properties
% 1.82/0.96
% 1.82/0.96 %
% 1.82/0.96 % clauses 45
% 1.82/0.96 % conjectures 4
% 1.82/0.96 % EPR 6
% 1.82/0.96 % Horn 29
% 1.82/0.96 % unary 14
% 1.82/0.96 % binary 12
% 1.82/0.96 % lits 112
% 1.82/0.96 % lits eq 19
% 1.82/0.96 % fd_pure 0
% 1.82/0.96 % fd_pseudo 0
% 1.82/0.96 % fd_cond 5
% 1.82/0.96 % fd_pseudo_cond 2
% 1.82/0.96 % AC symbols 0
% 1.82/0.96
% 1.82/0.96 % ------ Schedule dynamic 5 is on
% 1.82/0.96
% 1.82/0.96 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.82/0.96
% 1.82/0.96
% 1.82/0.96 % ------
% 1.82/0.96 % Current options:
% 1.82/0.96 % ------
% 1.82/0.96
% 1.82/0.96
% 1.82/0.96 %
% 1.82/0.96
% 1.82/0.96 % ------ Proving...
% 1.82/0.96 %
% 1.82/0.96
% 1.82/0.96 % SZS status Theorem for theBenchmark.p
% 1.82/0.96
% 1.82/0.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.82/0.96
%------------------------------------------------------------------------------