%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV416+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 : Tue Sep 29 01:09:10 PM UTC 2026
% Result : Theorem 18.81s 3.34s
% Output : Refutation 19.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 50
% Syntax : Number of formulae : 360 ( 39 unt; 28 def)
% Number of atoms : 1168 ( 232 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1397 ( 589 ~; 678 |; 61 &)
% ( 43 <=>; 20 =>; 0 <=; 6 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 38 ( 36 usr; 29 prp; 0-2 aty)
% Number of functors : 46 ( 46 usr; 36 con; 0-3 aty)
% Number of variables : 933 ( 0 sgn 820 !; 113 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( less_than(X0,X1)
| less_than(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality) ).
fof(f4,axiom,
! [X0,X1] :
( strictly_less_than(X0,X1)
<=> ( less_than(X0,X1)
& ~ less_than(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stricly_smaller_definition) ).
fof(f8,axiom,
! [X0] : ~ contains_pq(create_pq,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f9,axiom,
! [X0,X1,X2] :
( contains_pq(insert_pq(X0,X1),X2)
<=> ( contains_pq(X0,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f11,axiom,
! [X0,X1] : remove_pq(insert_pq(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( contains_pq(X0,X2)
& X1 != X2 )
=> remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f20,axiom,
! [X0] : ~ contains_slb(create_slb,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f21,axiom,
! [X0,X1,X2,X3] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
<=> ( contains_slb(X0,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f24,axiom,
! [X0,X1,X2] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
! [X0,X1,X2,X3] :
( ( X1 != X2
& contains_slb(X0,X2) )
=> remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f26,axiom,
! [X0,X1,X2] : lookup_slb(insert_slb(X0,pair(X1,X2)),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f39,axiom,
! [X0,X1,X2,X3] :
( contains_cpq(triple(X0,X1,X2),X3)
<=> contains_slb(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
fof(f44,axiom,
! [X0,X1,X2,X3] :
( ( contains_slb(X1,X3)
& less_than(lookup_slb(X1,X3),X3) )
=> remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
fof(f45,axiom,
! [X0,X1,X2,X3] :
( ( contains_slb(X1,X3)
& strictly_less_than(X3,lookup_slb(X1,X3)) )
=> remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
fof(f54,axiom,
! [X0,X1] : i(triple(X0,create_slb,X1)) = create_pq,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
fof(f55,axiom,
! [X0,X1,X2,X3,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f56,axiom,
! [X0,X1] :
( pi_sharp_remove(X0,X1)
<=> contains_pq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
fof(f57,axiom,
! [X0,X1] :
( pi_remove(X0,X1)
<=> pi_sharp_remove(i(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f63,axiom,
( ( ! [X0,X1,X2,X3] : i(triple(X0,create_slb,X2)) = i(triple(X1,create_slb,X3))
& ! [X4] :
( ! [X5,X6,X7,X8] : i(triple(X5,X4,X7)) = i(triple(X6,X4,X8))
=> ! [X9,X10,X11,X12,X13,X14] : i(triple(X9,insert_slb(X4,pair(X13,X14)),X11)) = i(triple(X10,insert_slb(X4,pair(X13,X14)),X12)) ) )
=> ! [X15,X16,X17,X18,X19] : i(triple(X15,X17,X18)) = i(triple(X16,X17,X19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',big3_induction1) ).
fof(f64,axiom,
( ( ! [X0,X1,X2] :
( contains_pq(i(triple(X0,create_slb,X1)),X2)
=> i(remove_cpq(triple(X0,create_slb,X1),X2)) = remove_pq(i(triple(X0,create_slb,X1)),X2) )
& ! [X3] :
( ! [X4,X5,X6] :
( contains_pq(i(triple(X4,X3,X5)),X6)
=> i(remove_cpq(triple(X4,X3,X5),X6)) = remove_pq(i(triple(X4,X3,X5)),X6) )
=> ! [X7,X8,X9,X10,X11] :
( contains_pq(i(triple(X7,insert_slb(X3,pair(X10,X11)),X8)),X9)
=> i(remove_cpq(triple(X7,insert_slb(X3,pair(X10,X11)),X8),X9)) = remove_pq(i(triple(X7,insert_slb(X3,pair(X10,X11)),X8)),X9) ) ) )
=> ! [X12,X13,X14,X15] :
( contains_pq(i(triple(X12,X13,X14)),X15)
=> i(remove_cpq(triple(X12,X13,X14),X15)) = remove_pq(i(triple(X12,X13,X14)),X15) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',big3_induction2) ).
fof(f65,axiom,
( ( ! [X0,X1,X2] :
( contains_cpq(triple(X0,create_slb,X1),X2)
<=> contains_pq(i(triple(X0,create_slb,X1)),X2) )
& ! [X3] :
( ! [X4,X5,X6] :
( contains_cpq(triple(X4,X3,X5),X6)
<=> contains_pq(i(triple(X4,X3,X5)),X6) )
=> ! [X7,X8,X9,X10,X11] :
( contains_cpq(triple(X7,insert_slb(X3,pair(X9,X10)),X8),X11)
<=> contains_pq(i(triple(X7,insert_slb(X3,pair(X9,X10)),X8)),X11) ) ) )
=> ! [X12,X13,X14,X15] :
( contains_cpq(triple(X12,X13,X14),X15)
<=> contains_pq(i(triple(X12,X13,X14)),X15) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',big3_induction3) ).
fof(f66,conjecture,
! [X0,X1,X2,X3] :
( pi_remove(triple(X0,X1,X2),X3)
=> ( phi(remove_cpq(triple(X0,X1,X2),X3))
=> ( pi_sharp_remove(i(triple(X0,X1,X2)),X3)
& i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co3) ).
fof(f67,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( pi_remove(triple(X0,X1,X2),X3)
=> ( phi(remove_cpq(triple(X0,X1,X2),X3))
=> ( pi_sharp_remove(i(triple(X0,X1,X2)),X3)
& i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3) ) ) ),
inference(negated_conjecture,[status(cth)],[f66]) ).
fof(f78,plain,
! [X0,X1] :
( pi_remove(X0,X1)
=> pi_sharp_remove(i(X0),X1) ),
inference(unused_predicate_definition_removal,[],[f57]) ).
fof(f79,plain,
! [X0,X1] :
( ( less_than(X0,X1)
& ~ less_than(X1,X0) )
=> strictly_less_than(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f80,plain,
? [X0,X1,X2,X3] :
( ( ~ pi_sharp_remove(i(triple(X0,X1,X2)),X3)
| i(remove_cpq(triple(X0,X1,X2),X3)) != remove_pq(i(triple(X0,X1,X2)),X3) )
& phi(remove_cpq(triple(X0,X1,X2),X3))
& pi_remove(triple(X0,X1,X2),X3) ),
inference(ennf_transformation,[],[f67]) ).
fof(f81,plain,
? [X0,X1,X2,X3] :
( ( ~ pi_sharp_remove(i(triple(X0,X1,X2)),X3)
| i(remove_cpq(triple(X0,X1,X2),X3)) != remove_pq(i(triple(X0,X1,X2)),X3) )
& phi(remove_cpq(triple(X0,X1,X2),X3))
& pi_remove(triple(X0,X1,X2),X3) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
( ! [X12,X13,X14,X15] :
( i(remove_cpq(triple(X12,X13,X14),X15)) = remove_pq(i(triple(X12,X13,X14)),X15)
| ~ contains_pq(i(triple(X12,X13,X14)),X15) )
| ? [X0,X1,X2] :
( i(remove_cpq(triple(X0,create_slb,X1),X2)) != remove_pq(i(triple(X0,create_slb,X1)),X2)
& contains_pq(i(triple(X0,create_slb,X1)),X2) )
| ? [X3] :
( ? [X7,X8,X9,X10,X11] :
( i(remove_cpq(triple(X7,insert_slb(X3,pair(X10,X11)),X8),X9)) != remove_pq(i(triple(X7,insert_slb(X3,pair(X10,X11)),X8)),X9)
& contains_pq(i(triple(X7,insert_slb(X3,pair(X10,X11)),X8)),X9) )
& ! [X4,X5,X6] :
( i(remove_cpq(triple(X4,X3,X5),X6)) = remove_pq(i(triple(X4,X3,X5)),X6)
| ~ contains_pq(i(triple(X4,X3,X5)),X6) ) ) ),
inference(ennf_transformation,[],[f64]) ).
fof(f83,plain,
( ! [X12,X13,X14,X15] :
( i(remove_cpq(triple(X12,X13,X14),X15)) = remove_pq(i(triple(X12,X13,X14)),X15)
| ~ contains_pq(i(triple(X12,X13,X14)),X15) )
| ? [X0,X1,X2] :
( i(remove_cpq(triple(X0,create_slb,X1),X2)) != remove_pq(i(triple(X0,create_slb,X1)),X2)
& contains_pq(i(triple(X0,create_slb,X1)),X2) )
| ? [X3] :
( ? [X7,X8,X9,X10,X11] :
( i(remove_cpq(triple(X7,insert_slb(X3,pair(X10,X11)),X8),X9)) != remove_pq(i(triple(X7,insert_slb(X3,pair(X10,X11)),X8)),X9)
& contains_pq(i(triple(X7,insert_slb(X3,pair(X10,X11)),X8)),X9) )
& ! [X4,X5,X6] :
( i(remove_cpq(triple(X4,X3,X5),X6)) = remove_pq(i(triple(X4,X3,X5)),X6)
| ~ contains_pq(i(triple(X4,X3,X5)),X6) ) ) ),
inference(flattening,[],[f82]) ).
fof(f86,plain,
! [X0,X1,X2] :
( remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1)
| ~ contains_pq(X0,X2)
| X1 = X2 ),
inference(ennf_transformation,[],[f12]) ).
fof(f87,plain,
! [X0,X1,X2] :
( remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1)
| ~ contains_pq(X0,X2)
| X1 = X2 ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( pi_sharp_remove(i(X0),X1)
| ~ pi_remove(X0,X1) ),
inference(ennf_transformation,[],[f78]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ contains_slb(X1,X3)
| ~ strictly_less_than(X3,lookup_slb(X1,X3)) ),
inference(ennf_transformation,[],[f45]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ contains_slb(X1,X3)
| ~ strictly_less_than(X3,lookup_slb(X1,X3)) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| ~ less_than(lookup_slb(X1,X3),X3) ),
inference(ennf_transformation,[],[f44]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| ~ less_than(lookup_slb(X1,X3),X3) ),
inference(flattening,[],[f91]) ).
fof(f96,plain,
( ! [X12,X13,X14,X15] :
( contains_cpq(triple(X12,X13,X14),X15)
<=> contains_pq(i(triple(X12,X13,X14)),X15) )
| ? [X0,X1,X2] :
( contains_cpq(triple(X0,create_slb,X1),X2)
<~> contains_pq(i(triple(X0,create_slb,X1)),X2) )
| ? [X3] :
( ? [X7,X8,X9,X10,X11] :
( contains_cpq(triple(X7,insert_slb(X3,pair(X9,X10)),X8),X11)
<~> contains_pq(i(triple(X7,insert_slb(X3,pair(X9,X10)),X8)),X11) )
& ! [X4,X5,X6] :
( contains_cpq(triple(X4,X3,X5),X6)
<=> contains_pq(i(triple(X4,X3,X5)),X6) ) ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f97,plain,
( ! [X12,X13,X14,X15] :
( contains_cpq(triple(X12,X13,X14),X15)
<=> contains_pq(i(triple(X12,X13,X14)),X15) )
| ? [X0,X1,X2] :
( contains_cpq(triple(X0,create_slb,X1),X2)
<~> contains_pq(i(triple(X0,create_slb,X1)),X2) )
| ? [X3] :
( ? [X7,X8,X9,X10,X11] :
( contains_cpq(triple(X7,insert_slb(X3,pair(X9,X10)),X8),X11)
<~> contains_pq(i(triple(X7,insert_slb(X3,pair(X9,X10)),X8)),X11) )
& ! [X4,X5,X6] :
( contains_cpq(triple(X4,X3,X5),X6)
<=> contains_pq(i(triple(X4,X3,X5)),X6) ) ) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
( ! [X15,X16,X17,X18,X19] : i(triple(X15,X17,X18)) = i(triple(X16,X17,X19))
| ? [X0,X1,X2,X3] : i(triple(X0,create_slb,X2)) != i(triple(X1,create_slb,X3))
| ? [X4] :
( ? [X9,X10,X11,X12,X13,X14] : i(triple(X9,insert_slb(X4,pair(X13,X14)),X11)) != i(triple(X10,insert_slb(X4,pair(X13,X14)),X12))
& ! [X5,X6,X7,X8] : i(triple(X5,X4,X7)) = i(triple(X6,X4,X8)) ) ),
inference(ennf_transformation,[],[f63]) ).
fof(f99,plain,
( ! [X15,X16,X17,X18,X19] : i(triple(X15,X17,X18)) = i(triple(X16,X17,X19))
| ? [X0,X1,X2,X3] : i(triple(X0,create_slb,X2)) != i(triple(X1,create_slb,X3))
| ? [X4] :
( ? [X9,X10,X11,X12,X13,X14] : i(triple(X9,insert_slb(X4,pair(X13,X14)),X11)) != i(triple(X10,insert_slb(X4,pair(X13,X14)),X12))
& ! [X5,X6,X7,X8] : i(triple(X5,X4,X7)) = i(triple(X6,X4,X8)) ) ),
inference(flattening,[],[f98]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3))
| X1 = X2
| ~ contains_slb(X0,X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3))
| X1 = X2
| ~ contains_slb(X0,X2) ),
inference(flattening,[],[f120]) ).
fof(f124,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| ~ less_than(X0,X1)
| less_than(X1,X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f125,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| ~ less_than(X0,X1)
| less_than(X1,X0) ),
inference(flattening,[],[f124]) ).
fof(f130,definition,
( ? [X3] :
( ? [X7,X8,X9,X10,X11] :
( contains_cpq(triple(X7,insert_slb(X3,pair(X9,X10)),X8),X11)
<~> contains_pq(i(triple(X7,insert_slb(X3,pair(X9,X10)),X8)),X11) )
& ! [X4,X5,X6] :
( contains_cpq(triple(X4,X3,X5),X6)
<=> contains_pq(i(triple(X4,X3,X5)),X6) ) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f131,plain,
( ! [X12,X13,X14,X15] :
( contains_cpq(triple(X12,X13,X14),X15)
<=> contains_pq(i(triple(X12,X13,X14)),X15) )
| ? [X0,X1,X2] :
( contains_cpq(triple(X0,create_slb,X1),X2)
<~> contains_pq(i(triple(X0,create_slb,X1)),X2) )
| sP0 ),
inference(definition_folding,[],[f97,f130]) ).
fof(f132,plain,
( ( ~ pi_sharp_remove(i(triple(sK1,sK2,sK3)),sK4)
| i(remove_cpq(triple(sK1,sK2,sK3),sK4)) != remove_pq(i(triple(sK1,sK2,sK3)),sK4) )
& phi(remove_cpq(triple(sK1,sK2,sK3),sK4))
& pi_remove(triple(sK1,sK2,sK3),sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4)],[f81]) ).
fof(f133,plain,
( ! [X0,X1,X2,X3] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3) )
| ? [X4,X5,X6] :
( i(remove_cpq(triple(X4,create_slb,X5),X6)) != remove_pq(i(triple(X4,create_slb,X5)),X6)
& contains_pq(i(triple(X4,create_slb,X5)),X6) )
| ? [X7] :
( ? [X8,X9,X10,X11,X12] :
( i(remove_cpq(triple(X8,insert_slb(X7,pair(X11,X12)),X9),X10)) != remove_pq(i(triple(X8,insert_slb(X7,pair(X11,X12)),X9)),X10)
& contains_pq(i(triple(X8,insert_slb(X7,pair(X11,X12)),X9)),X10) )
& ! [X13,X14,X15] :
( i(remove_cpq(triple(X13,X7,X14),X15)) = remove_pq(i(triple(X13,X7,X14)),X15)
| ~ contains_pq(i(triple(X13,X7,X14)),X15) ) ) ),
inference(rectify,[],[f83]) ).
fof(f134,plain,
( ! [X0,X1,X2,X3] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3) )
| ( i(remove_cpq(triple(sK5,create_slb,sK6),sK7)) != remove_pq(i(triple(sK5,create_slb,sK6)),sK7)
& contains_pq(i(triple(sK5,create_slb,sK6)),sK7) )
| ( i(remove_cpq(triple(sK9,insert_slb(sK8,pair(sK12,sK13)),sK10),sK11)) != remove_pq(i(triple(sK9,insert_slb(sK8,pair(sK12,sK13)),sK10)),sK11)
& contains_pq(i(triple(sK9,insert_slb(sK8,pair(sK12,sK13)),sK10)),sK11)
& ! [X13,X14,X15] :
( i(remove_cpq(triple(X13,sK8,X14),X15)) = remove_pq(i(triple(X13,sK8,X14)),X15)
| ~ contains_pq(i(triple(X13,sK8,X14)),X15) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13]),skolemize(X4,sK5),skolemize(X5,sK6),skolemize(X6,sK7),skolemize(X7,sK8),skolemize(X8,sK9),skolemize(X9,sK10),skolemize(X10,sK11),skolemize(X11,sK12),skolemize(X12,sK13)],[f133]) ).
fof(f135,plain,
! [X0,X1] :
( ( pi_sharp_remove(X0,X1)
| ~ contains_pq(X0,X1) )
& ( contains_pq(X0,X1)
| ~ pi_sharp_remove(X0,X1) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f137,plain,
( ? [X3] :
( ? [X7,X8,X9,X10,X11] :
( ( ~ contains_pq(i(triple(X7,insert_slb(X3,pair(X9,X10)),X8)),X11)
| ~ contains_cpq(triple(X7,insert_slb(X3,pair(X9,X10)),X8),X11) )
& ( contains_pq(i(triple(X7,insert_slb(X3,pair(X9,X10)),X8)),X11)
| contains_cpq(triple(X7,insert_slb(X3,pair(X9,X10)),X8),X11) ) )
& ! [X4,X5,X6] :
( ( contains_cpq(triple(X4,X3,X5),X6)
| ~ contains_pq(i(triple(X4,X3,X5)),X6) )
& ( contains_pq(i(triple(X4,X3,X5)),X6)
| ~ contains_cpq(triple(X4,X3,X5),X6) ) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f130]) ).
fof(f138,plain,
( ? [X0] :
( ? [X1,X2,X3,X4,X5] :
( ( ~ contains_pq(i(triple(X1,insert_slb(X0,pair(X3,X4)),X2)),X5)
| ~ contains_cpq(triple(X1,insert_slb(X0,pair(X3,X4)),X2),X5) )
& ( contains_pq(i(triple(X1,insert_slb(X0,pair(X3,X4)),X2)),X5)
| contains_cpq(triple(X1,insert_slb(X0,pair(X3,X4)),X2),X5) ) )
& ! [X6,X7,X8] :
( ( contains_cpq(triple(X6,X0,X7),X8)
| ~ contains_pq(i(triple(X6,X0,X7)),X8) )
& ( contains_pq(i(triple(X6,X0,X7)),X8)
| ~ contains_cpq(triple(X6,X0,X7),X8) ) ) )
| ~ sP0 ),
inference(rectify,[],[f137]) ).
fof(f139,plain,
( ( ( ~ contains_pq(i(triple(sK16,insert_slb(sK15,pair(sK18,sK19)),sK17)),sK20)
| ~ contains_cpq(triple(sK16,insert_slb(sK15,pair(sK18,sK19)),sK17),sK20) )
& ( contains_pq(i(triple(sK16,insert_slb(sK15,pair(sK18,sK19)),sK17)),sK20)
| contains_cpq(triple(sK16,insert_slb(sK15,pair(sK18,sK19)),sK17),sK20) )
& ! [X6,X7,X8] :
( ( contains_cpq(triple(X6,sK15,X7),X8)
| ~ contains_pq(i(triple(X6,sK15,X7)),X8) )
& ( contains_pq(i(triple(X6,sK15,X7)),X8)
| ~ contains_cpq(triple(X6,sK15,X7),X8) ) ) )
| ~ sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18,sK19,sK20]),skolemize(X0,sK15),skolemize(X1,sK16),skolemize(X2,sK17),skolemize(X3,sK18),skolemize(X4,sK19),skolemize(X5,sK20)],[f138]) ).
fof(f140,plain,
( ! [X12,X13,X14,X15] :
( ( contains_cpq(triple(X12,X13,X14),X15)
| ~ contains_pq(i(triple(X12,X13,X14)),X15) )
& ( contains_pq(i(triple(X12,X13,X14)),X15)
| ~ contains_cpq(triple(X12,X13,X14),X15) ) )
| ? [X0,X1,X2] :
( ( ~ contains_pq(i(triple(X0,create_slb,X1)),X2)
| ~ contains_cpq(triple(X0,create_slb,X1),X2) )
& ( contains_pq(i(triple(X0,create_slb,X1)),X2)
| contains_cpq(triple(X0,create_slb,X1),X2) ) )
| sP0 ),
inference(nnf_transformation,[],[f131]) ).
fof(f141,plain,
( ! [X0,X1,X2,X3] :
( ( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3) )
& ( contains_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ) )
| ? [X4,X5,X6] :
( ( ~ contains_pq(i(triple(X4,create_slb,X5)),X6)
| ~ contains_cpq(triple(X4,create_slb,X5),X6) )
& ( contains_pq(i(triple(X4,create_slb,X5)),X6)
| contains_cpq(triple(X4,create_slb,X5),X6) ) )
| sP0 ),
inference(rectify,[],[f140]) ).
fof(f142,plain,
( ! [X0,X1,X2,X3] :
( ( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3) )
& ( contains_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ) )
| ( ( ~ contains_pq(i(triple(sK21,create_slb,sK22)),sK23)
| ~ contains_cpq(triple(sK21,create_slb,sK22),sK23) )
& ( contains_pq(i(triple(sK21,create_slb,sK22)),sK23)
| contains_cpq(triple(sK21,create_slb,sK22),sK23) ) )
| sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22,sK23]),skolemize(X4,sK21),skolemize(X5,sK22),skolemize(X6,sK23)],[f141]) ).
fof(f143,plain,
( ! [X0,X1,X2,X3,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| ? [X5,X6,X7,X8] : i(triple(X5,create_slb,X7)) != i(triple(X6,create_slb,X8))
| ? [X9] :
( ? [X10,X11,X12,X13,X14,X15] : i(triple(X10,insert_slb(X9,pair(X14,X15)),X12)) != i(triple(X11,insert_slb(X9,pair(X14,X15)),X13))
& ! [X16,X17,X18,X19] : i(triple(X16,X9,X18)) = i(triple(X17,X9,X19)) ) ),
inference(rectify,[],[f99]) ).
fof(f144,plain,
( ! [X0,X1,X2,X3,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| i(triple(sK24,create_slb,sK26)) != i(triple(sK25,create_slb,sK27))
| ( i(triple(sK29,insert_slb(sK28,pair(sK33,sK34)),sK31)) != i(triple(sK30,insert_slb(sK28,pair(sK33,sK34)),sK32))
& ! [X16,X17,X18,X19] : i(triple(X16,sK28,X18)) = i(triple(X17,sK28,X19)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34]),skolemize(X5,sK24),skolemize(X6,sK25),skolemize(X7,sK26),skolemize(X8,sK27),skolemize(X9,sK28),skolemize(X10,sK29),skolemize(X11,sK30),skolemize(X12,sK31),skolemize(X13,sK32),skolemize(X14,sK33),skolemize(X15,sK34)],[f143]) ).
fof(f146,plain,
! [X0,X1,X2] :
( ( contains_pq(insert_pq(X0,X1),X2)
| ( ~ contains_pq(X0,X2)
& X1 != X2 ) )
& ( contains_pq(X0,X2)
| X1 = X2
| ~ contains_pq(insert_pq(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ( contains_pq(insert_pq(X0,X1),X2)
| ( ~ contains_pq(X0,X2)
& X1 != X2 ) )
& ( contains_pq(X0,X2)
| X1 = X2
| ~ contains_pq(insert_pq(X0,X1),X2) ) ),
inference(flattening,[],[f146]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ( ~ contains_slb(X0,X2)
& X1 != X2 ) )
& ( contains_slb(X0,X2)
| X1 = X2
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ( ~ contains_slb(X0,X2)
& X1 != X2 ) )
& ( contains_slb(X0,X2)
| X1 = X2
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) )
& ( contains_slb(X1,X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f154,plain,
pi_remove(triple(sK1,sK2,sK3),sK4),
inference(cnf_transformation,[],[f132]) ).
fof(f156,plain,
( ~ pi_sharp_remove(i(triple(sK1,sK2,sK3)),sK4)
| i(remove_cpq(triple(sK1,sK2,sK3),sK4)) != remove_pq(i(triple(sK1,sK2,sK3)),sK4) ),
inference(cnf_transformation,[],[f132]) ).
fof(f157,plain,
! [X2,X3,X0,X1,X14,X15,X13] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3)
| contains_pq(i(triple(sK5,create_slb,sK6)),sK7)
| i(remove_cpq(triple(X13,sK8,X14),X15)) = remove_pq(i(triple(X13,sK8,X14)),X15)
| ~ contains_pq(i(triple(X13,sK8,X14)),X15) ),
inference(cnf_transformation,[],[f134]) ).
fof(f158,plain,
! [X2,X3,X0,X1] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3)
| contains_pq(i(triple(sK5,create_slb,sK6)),sK7)
| contains_pq(i(triple(sK9,insert_slb(sK8,pair(sK12,sK13)),sK10)),sK11) ),
inference(cnf_transformation,[],[f134]) ).
fof(f159,plain,
! [X2,X3,X0,X1] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3)
| contains_pq(i(triple(sK5,create_slb,sK6)),sK7)
| i(remove_cpq(triple(sK9,insert_slb(sK8,pair(sK12,sK13)),sK10),sK11)) != remove_pq(i(triple(sK9,insert_slb(sK8,pair(sK12,sK13)),sK10)),sK11) ),
inference(cnf_transformation,[],[f134]) ).
fof(f164,plain,
! [X2,X0,X1] :
( remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1)
| ~ contains_pq(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f87]) ).
fof(f165,plain,
! [X0,X1] : remove_pq(insert_pq(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f11]) ).
fof(f166,plain,
! [X0,X1] :
( pi_sharp_remove(i(X0),X1)
| ~ pi_remove(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f167,plain,
! [X0,X1] :
( ~ pi_sharp_remove(X0,X1)
| contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f170,plain,
! [X2,X3,X0,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ contains_slb(X1,X3)
| ~ strictly_less_than(X3,lookup_slb(X1,X3)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f171,plain,
! [X2,X3,X0,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| ~ less_than(lookup_slb(X1,X3),X3) ),
inference(cnf_transformation,[],[f92]) ).
fof(f177,plain,
! [X8,X6,X7] :
( contains_pq(i(triple(X6,sK15,X7)),X8)
| ~ contains_cpq(triple(X6,sK15,X7),X8)
| ~ sP0 ),
inference(cnf_transformation,[],[f139]) ).
fof(f178,plain,
! [X8,X6,X7] :
( contains_cpq(triple(X6,sK15,X7),X8)
| ~ contains_pq(i(triple(X6,sK15,X7)),X8)
| ~ sP0 ),
inference(cnf_transformation,[],[f139]) ).
fof(f179,plain,
( contains_pq(i(triple(sK16,insert_slb(sK15,pair(sK18,sK19)),sK17)),sK20)
| contains_cpq(triple(sK16,insert_slb(sK15,pair(sK18,sK19)),sK17),sK20)
| ~ sP0 ),
inference(cnf_transformation,[],[f139]) ).
fof(f180,plain,
( ~ contains_pq(i(triple(sK16,insert_slb(sK15,pair(sK18,sK19)),sK17)),sK20)
| ~ contains_cpq(triple(sK16,insert_slb(sK15,pair(sK18,sK19)),sK17),sK20)
| ~ sP0 ),
inference(cnf_transformation,[],[f139]) ).
fof(f183,plain,
! [X2,X3,X0,X1] :
( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3)
| contains_pq(i(triple(sK21,create_slb,sK22)),sK23)
| contains_cpq(triple(sK21,create_slb,sK22),sK23)
| sP0 ),
inference(cnf_transformation,[],[f142]) ).
fof(f185,plain,
! [X2,X3,X0,X1,X18,X19,X16,X4,X17] :
( i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| i(triple(sK24,create_slb,sK26)) != i(triple(sK25,create_slb,sK27))
| i(triple(X16,sK28,X18)) = i(triple(X17,sK28,X19)) ),
inference(cnf_transformation,[],[f144]) ).
fof(f186,plain,
! [X2,X3,X0,X1,X4] :
( i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| i(triple(sK24,create_slb,sK26)) != i(triple(sK25,create_slb,sK27))
| i(triple(sK29,insert_slb(sK28,pair(sK33,sK34)),sK31)) != i(triple(sK30,insert_slb(sK28,pair(sK33,sK34)),sK32)) ),
inference(cnf_transformation,[],[f144]) ).
fof(f187,plain,
! [X2,X3,X0,X1,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
inference(cnf_transformation,[],[f55]) ).
fof(f188,plain,
! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f194,plain,
! [X2,X0,X1] :
( ~ contains_pq(insert_pq(X0,X1),X2)
| X1 = X2
| contains_pq(X0,X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f195,plain,
! [X2,X0,X1] :
( contains_pq(insert_pq(X0,X1),X2)
| X1 != X2 ),
inference(cnf_transformation,[],[f147]) ).
fof(f196,plain,
! [X2,X0,X1] :
( contains_pq(insert_pq(X0,X1),X2)
| ~ contains_pq(X0,X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f197,plain,
! [X0] : ~ contains_pq(create_pq,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f207,plain,
! [X0] : ~ contains_slb(create_slb,X0),
inference(cnf_transformation,[],[f20]) ).
fof(f216,plain,
! [X2,X0,X1] : lookup_slb(insert_slb(X0,pair(X1,X2)),X1) = X2,
inference(cnf_transformation,[],[f26]) ).
fof(f217,plain,
! [X2,X3,X0,X1] :
( remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3))
| X1 = X2
| ~ contains_slb(X0,X2) ),
inference(cnf_transformation,[],[f121]) ).
fof(f218,plain,
! [X2,X0,X1] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0,
inference(cnf_transformation,[],[f24]) ).
fof(f223,plain,
! [X2,X3,X0,X1] :
( ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| X1 = X2
| contains_slb(X0,X2) ),
inference(cnf_transformation,[],[f152]) ).
fof(f224,plain,
! [X2,X3,X0,X1] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| X1 != X2 ),
inference(cnf_transformation,[],[f152]) ).
fof(f225,plain,
! [X2,X3,X0,X1] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ~ contains_slb(X0,X2) ),
inference(cnf_transformation,[],[f152]) ).
fof(f232,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| ~ less_than(X0,X1)
| less_than(X1,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f233,plain,
! [X2,X3,X0,X1] :
( ~ contains_cpq(triple(X0,X1,X2),X3)
| contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f153]) ).
fof(f234,plain,
! [X2,X3,X0,X1] :
( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f153]) ).
fof(f239,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f248,plain,
! [X2,X0] : contains_pq(insert_pq(X0,X2),X2),
inference(equality_resolution,[],[f195]) ).
fof(f251,plain,
! [X2,X3,X0] : contains_slb(insert_slb(X0,pair(X2,X3)),X2),
inference(equality_resolution,[],[f224]) ).
fof(f252,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0) ),
inference(forward_subsumption_resolution,[],[f232,f239]) ).
fof(f254,plain,
! [X2,X3,X0,X1,X18,X19,X16,X4,X17] :
( create_pq != i(triple(sK24,create_slb,sK26))
| i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| i(triple(X16,sK28,X18)) = i(triple(X17,sK28,X19)) ),
inference(forward_demodulation,[],[f185,f188]) ).
fof(f255,plain,
! [X2,X3,X0,X1,X4] :
( create_pq != i(triple(sK24,create_slb,sK26))
| i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| i(triple(sK29,insert_slb(sK28,pair(sK33,sK34)),sK31)) != i(triple(sK30,insert_slb(sK28,pair(sK33,sK34)),sK32)) ),
inference(forward_demodulation,[],[f186,f188]) ).
fof(f258,plain,
! [X2,X3,X0,X1] :
( contains_pq(create_pq,sK23)
| contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3)
| contains_cpq(triple(sK21,create_slb,sK22),sK23)
| sP0 ),
inference(forward_demodulation,[],[f183,f188]) ).
fof(f261,definition,
( spl36_1
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl36_1])],[avatar_definition]) ).
fof(f265,definition,
( spl36_2
<=> ! [X6,X8,X7] :
( contains_pq(i(triple(X6,sK15,X7)),X8)
| ~ contains_cpq(triple(X6,sK15,X7),X8) ) ),
introduced(definition,[new_symbols(definition,[spl36_2])],[avatar_definition]) ).
fof(f266,plain,
( ! [X8,X6,X7] :
( contains_pq(i(triple(X6,sK15,X7)),X8)
| ~ contains_cpq(triple(X6,sK15,X7),X8) )
| ~ spl36_2 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f267,plain,
( ~ spl36_1
| spl36_2 ),
inference(avatar_split_clause,[],[f177,f265,f261]) ).
fof(f269,definition,
( spl36_3
<=> ! [X6,X8,X7] :
( contains_cpq(triple(X6,sK15,X7),X8)
| ~ contains_pq(i(triple(X6,sK15,X7)),X8) ) ),
introduced(definition,[new_symbols(definition,[spl36_3])],[avatar_definition]) ).
fof(f270,plain,
( ! [X8,X6,X7] :
( ~ contains_pq(i(triple(X6,sK15,X7)),X8)
| contains_cpq(triple(X6,sK15,X7),X8) )
| ~ spl36_3 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f271,plain,
( ~ spl36_1
| spl36_3 ),
inference(avatar_split_clause,[],[f178,f269,f261]) ).
fof(f272,plain,
( contains_pq(insert_pq(i(triple(sK16,sK15,sK17)),sK18),sK20)
| contains_cpq(triple(sK16,insert_slb(sK15,pair(sK18,sK19)),sK17),sK20)
| ~ sP0 ),
inference(forward_demodulation,[],[f179,f187]) ).
fof(f273,plain,
( ~ contains_pq(insert_pq(i(triple(sK16,sK15,sK17)),sK18),sK20)
| ~ contains_cpq(triple(sK16,insert_slb(sK15,pair(sK18,sK19)),sK17),sK20)
| ~ sP0 ),
inference(forward_demodulation,[],[f180,f187]) ).
fof(f274,plain,
! [X2,X3,X0,X1,X14,X15,X13] :
( contains_pq(create_pq,sK7)
| i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3)
| i(remove_cpq(triple(X13,sK8,X14),X15)) = remove_pq(i(triple(X13,sK8,X14)),X15)
| ~ contains_pq(i(triple(X13,sK8,X14)),X15) ),
inference(forward_demodulation,[],[f157,f188]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( contains_pq(create_pq,sK7)
| i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3)
| contains_pq(i(triple(sK9,insert_slb(sK8,pair(sK12,sK13)),sK10)),sK11) ),
inference(forward_demodulation,[],[f158,f188]) ).
fof(f276,plain,
! [X2,X3,X0,X1] :
( contains_pq(create_pq,sK7)
| i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3)
| i(remove_cpq(triple(sK9,insert_slb(sK8,pair(sK12,sK13)),sK10),sK11)) != remove_pq(i(triple(sK9,insert_slb(sK8,pair(sK12,sK13)),sK10)),sK11) ),
inference(forward_demodulation,[],[f159,f188]) ).
fof(f281,definition,
( spl36_4
<=> i(remove_cpq(triple(sK1,sK2,sK3),sK4)) = remove_pq(i(triple(sK1,sK2,sK3)),sK4) ),
introduced(definition,[new_symbols(definition,[spl36_4])],[avatar_definition]) ).
fof(f283,plain,
( i(remove_cpq(triple(sK1,sK2,sK3),sK4)) != remove_pq(i(triple(sK1,sK2,sK3)),sK4)
| spl36_4 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,definition,
( spl36_5
<=> pi_sharp_remove(i(triple(sK1,sK2,sK3)),sK4) ),
introduced(definition,[new_symbols(definition,[spl36_5])],[avatar_definition]) ).
fof(f287,plain,
( ~ pi_sharp_remove(i(triple(sK1,sK2,sK3)),sK4)
| spl36_5 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f288,plain,
( ~ spl36_4
| ~ spl36_5 ),
inference(avatar_split_clause,[],[f156,f285,f281]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X18,X19,X16,X4,X17] :
( i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| i(triple(X16,sK28,X18)) = i(triple(X17,sK28,X19)) ),
inference(forward_subsumption_resolution,[],[f254,f188]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X4] :
( i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| i(triple(sK29,insert_slb(sK28,pair(sK33,sK34)),sK31)) != i(triple(sK30,insert_slb(sK28,pair(sK33,sK34)),sK32)) ),
inference(forward_subsumption_resolution,[],[f255,f188]) ).
fof(f292,plain,
! [X2,X3,X0,X1] :
( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3)
| contains_cpq(triple(sK21,create_slb,sK22),sK23)
| sP0 ),
inference(forward_subsumption_resolution,[],[f258,f197]) ).
fof(f294,definition,
( spl36_6
<=> contains_cpq(triple(sK16,insert_slb(sK15,pair(sK18,sK19)),sK17),sK20) ),
introduced(definition,[new_symbols(definition,[spl36_6])],[avatar_definition]) ).
fof(f295,plain,
( ~ contains_cpq(triple(sK16,insert_slb(sK15,pair(sK18,sK19)),sK17),sK20)
| spl36_6 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f296,plain,
( contains_cpq(triple(sK16,insert_slb(sK15,pair(sK18,sK19)),sK17),sK20)
| ~ spl36_6 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f298,definition,
( spl36_7
<=> contains_pq(insert_pq(i(triple(sK16,sK15,sK17)),sK18),sK20) ),
introduced(definition,[new_symbols(definition,[spl36_7])],[avatar_definition]) ).
fof(f299,plain,
( ~ contains_pq(insert_pq(i(triple(sK16,sK15,sK17)),sK18),sK20)
| spl36_7 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f300,plain,
( contains_pq(insert_pq(i(triple(sK16,sK15,sK17)),sK18),sK20)
| ~ spl36_7 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f301,plain,
( ~ spl36_1
| spl36_6
| spl36_7 ),
inference(avatar_split_clause,[],[f272,f298,f294,f261]) ).
fof(f302,plain,
( ~ spl36_1
| ~ spl36_6
| ~ spl36_7 ),
inference(avatar_split_clause,[],[f273,f298,f294,f261]) ).
fof(f303,plain,
! [X2,X3,X0,X1,X14,X15,X13] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3)
| i(remove_cpq(triple(X13,sK8,X14),X15)) = remove_pq(i(triple(X13,sK8,X14)),X15)
| ~ contains_pq(i(triple(X13,sK8,X14)),X15) ),
inference(forward_subsumption_resolution,[],[f274,f197]) ).
fof(f304,plain,
! [X2,X3,X0,X1] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3)
| contains_pq(i(triple(sK9,insert_slb(sK8,pair(sK12,sK13)),sK10)),sK11) ),
inference(forward_subsumption_resolution,[],[f275,f197]) ).
fof(f305,plain,
! [X2,X3,X0,X1] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3)
| i(remove_cpq(triple(sK9,insert_slb(sK8,pair(sK12,sK13)),sK10),sK11)) != remove_pq(i(triple(sK9,insert_slb(sK8,pair(sK12,sK13)),sK10)),sK11) ),
inference(forward_subsumption_resolution,[],[f276,f197]) ).
fof(f307,definition,
( spl36_8
<=> ! [X13,X14,X15] :
( i(remove_cpq(triple(X13,sK8,X14),X15)) = remove_pq(i(triple(X13,sK8,X14)),X15)
| ~ contains_pq(i(triple(X13,sK8,X14)),X15) ) ),
introduced(definition,[new_symbols(definition,[spl36_8])],[avatar_definition]) ).
fof(f308,plain,
( ! [X14,X15,X13] :
( i(remove_cpq(triple(X13,sK8,X14),X15)) = remove_pq(i(triple(X13,sK8,X14)),X15)
| ~ contains_pq(i(triple(X13,sK8,X14)),X15) )
| ~ spl36_8 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f310,definition,
( spl36_9
<=> ! [X0,X3,X2,X1] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3) ) ),
introduced(definition,[new_symbols(definition,[spl36_9])],[avatar_definition]) ).
fof(f311,plain,
( ! [X2,X3,X0,X1] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3) )
| ~ spl36_9 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f320,definition,
( spl36_11
<=> ! [X18,X16,X17,X19] : i(triple(X16,sK28,X18)) = i(triple(X17,sK28,X19)) ),
introduced(definition,[new_symbols(definition,[spl36_11])],[avatar_definition]) ).
fof(f321,plain,
( ! [X18,X19,X16,X17] : i(triple(X16,sK28,X18)) = i(triple(X17,sK28,X19))
| ~ spl36_11 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f323,definition,
( spl36_12
<=> ! [X4,X0,X3,X2,X1] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)) ),
introduced(definition,[new_symbols(definition,[spl36_12])],[avatar_definition]) ).
fof(f324,plain,
( ! [X2,X3,X0,X1,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| ~ spl36_12 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f325,plain,
( spl36_11
| spl36_12 ),
inference(avatar_split_clause,[],[f289,f323,f320]) ).
fof(f326,plain,
! [X2,X3,X0,X1,X4] :
( i(triple(sK29,insert_slb(sK28,pair(sK33,sK34)),sK31)) != insert_pq(i(triple(sK30,sK28,sK32)),sK33)
| i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)) ),
inference(forward_demodulation,[],[f290,f187]) ).
fof(f328,definition,
( spl36_13
<=> contains_cpq(triple(sK21,create_slb,sK22),sK23) ),
introduced(definition,[new_symbols(definition,[spl36_13])],[avatar_definition]) ).
fof(f330,plain,
( contains_cpq(triple(sK21,create_slb,sK22),sK23)
| ~ spl36_13 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f336,definition,
( spl36_15
<=> ! [X0,X3,X2,X1] :
( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3) ) ),
introduced(definition,[new_symbols(definition,[spl36_15])],[avatar_definition]) ).
fof(f337,plain,
( ! [X2,X3,X0,X1] :
( ~ contains_pq(i(triple(X0,X1,X2)),X3)
| contains_cpq(triple(X0,X1,X2),X3) )
| ~ spl36_15 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f338,plain,
( spl36_1
| spl36_13
| spl36_15 ),
inference(avatar_split_clause,[],[f292,f336,f328,f261]) ).
fof(f339,plain,
( spl36_8
| spl36_9 ),
inference(avatar_split_clause,[],[f303,f310,f307]) ).
fof(f340,plain,
! [X2,X3,X0,X1] :
( contains_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11)
| i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3) ),
inference(forward_demodulation,[],[f304,f187]) ).
fof(f341,plain,
! [X2,X3,X0,X1] :
( i(remove_cpq(triple(sK9,insert_slb(sK8,pair(sK12,sK13)),sK10),sK11)) != remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11)
| i(remove_cpq(triple(X0,X1,X2),X3)) = remove_pq(i(triple(X0,X1,X2)),X3)
| ~ contains_pq(i(triple(X0,X1,X2)),X3) ),
inference(forward_demodulation,[],[f305,f187]) ).
fof(f343,definition,
( spl36_16
<=> contains_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11) ),
introduced(definition,[new_symbols(definition,[spl36_16])],[avatar_definition]) ).
fof(f345,plain,
( contains_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11)
| ~ spl36_16 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f348,definition,
( spl36_17
<=> i(remove_cpq(triple(sK9,insert_slb(sK8,pair(sK12,sK13)),sK10),sK11)) = remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11) ),
introduced(definition,[new_symbols(definition,[spl36_17])],[avatar_definition]) ).
fof(f350,plain,
( i(remove_cpq(triple(sK9,insert_slb(sK8,pair(sK12,sK13)),sK10),sK11)) != remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11)
| spl36_17 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f352,plain,
! [X2,X3,X0,X1,X4] :
( insert_pq(i(triple(sK30,sK28,sK32)),sK33) != insert_pq(i(triple(sK29,sK28,sK31)),sK33)
| i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)) ),
inference(forward_demodulation,[],[f326,f187]) ).
fof(f353,plain,
( spl36_9
| spl36_16 ),
inference(avatar_split_clause,[],[f340,f343,f310]) ).
fof(f354,plain,
( spl36_9
| ~ spl36_17 ),
inference(avatar_split_clause,[],[f341,f348,f310]) ).
fof(f356,definition,
( spl36_18
<=> insert_pq(i(triple(sK30,sK28,sK32)),sK33) = insert_pq(i(triple(sK29,sK28,sK31)),sK33) ),
introduced(definition,[new_symbols(definition,[spl36_18])],[avatar_definition]) ).
fof(f358,plain,
( insert_pq(i(triple(sK30,sK28,sK32)),sK33) != insert_pq(i(triple(sK29,sK28,sK31)),sK33)
| spl36_18 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f359,plain,
( spl36_12
| ~ spl36_18 ),
inference(avatar_split_clause,[],[f352,f356,f323]) ).
fof(f366,plain,
( i(remove_cpq(triple(sK1,sK2,sK3),sK4)) != i(remove_cpq(triple(sK1,sK2,sK3),sK4))
| ~ contains_pq(i(triple(sK1,sK2,sK3)),sK4)
| spl36_4
| ~ spl36_9 ),
inference(superposition,[],[f283,f311]) ).
fof(f367,plain,
( ~ contains_pq(i(triple(sK1,sK2,sK3)),sK4)
| spl36_4
| ~ spl36_9 ),
inference(trivial_inequality_removal,[],[f366]) ).
fof(f414,plain,
( ! [X0,X1] : insert_pq(i(triple(sK29,sK28,sK31)),sK33) != insert_pq(i(triple(X0,sK28,X1)),sK33)
| ~ spl36_11
| spl36_18 ),
inference(superposition,[],[f358,f321]) ).
fof(f427,plain,
( $false
| ~ spl36_11
| spl36_18 ),
inference(equality_resolution,[],[f414]) ).
fof(f428,plain,
( ~ spl36_11
| spl36_18 ),
inference(avatar_contradiction_clause,[],[f427]) ).
fof(f446,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] : i(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) = insert_pq(i(triple(X5,X1,X6)),X2)
| ~ spl36_12 ),
inference(superposition,[],[f187,f324]) ).
fof(f447,plain,
( ! [X0,X1] : ~ contains_pq(i(triple(X0,sK2,X1)),sK4)
| spl36_4
| ~ spl36_9
| ~ spl36_12 ),
inference(superposition,[],[f367,f324]) ).
fof(f450,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( pi_sharp_remove(i(triple(X0,X1,X2)),X5)
| ~ pi_remove(triple(X3,X1,X4),X5) )
| ~ spl36_12 ),
inference(superposition,[],[f166,f324]) ).
fof(f573,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = i(triple(X4,remove_slb(X1,X3),X5))
| ~ contains_slb(X1,X3)
| ~ strictly_less_than(X3,lookup_slb(X1,X3)) )
| ~ spl36_12 ),
inference(superposition,[],[f324,f170]) ).
fof(f597,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = i(remove_cpq(triple(X4,X1,X5),X3))
| ~ contains_slb(X1,X3)
| ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3)
| ~ strictly_less_than(X3,lookup_slb(X1,X3)) )
| ~ spl36_12 ),
inference(superposition,[],[f573,f573]) ).
fof(f612,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = i(remove_cpq(triple(X4,X1,X5),X3))
| ~ contains_slb(X1,X3)
| ~ strictly_less_than(X3,lookup_slb(X1,X3)) )
| ~ spl36_12 ),
inference(duplicate_literal_removal,[],[f597]) ).
fof(f621,plain,
( contains_slb(create_slb,sK23)
| ~ spl36_13 ),
inference(resolution,[],[f330,f233]) ).
fof(f622,plain,
( $false
| ~ spl36_13 ),
inference(forward_subsumption_resolution,[],[f621,f207]) ).
fof(f623,plain,
~ spl36_13,
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f629,plain,
( contains_slb(insert_slb(sK15,pair(sK18,sK19)),sK20)
| ~ spl36_6 ),
inference(resolution,[],[f296,f233]) ).
fof(f634,plain,
( ! [X0,X1] : ~ contains_pq(insert_pq(i(triple(X0,sK15,X1)),sK18),sK20)
| spl36_7
| ~ spl36_12 ),
inference(superposition,[],[f299,f324]) ).
fof(f652,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = i(triple(X4,remove_slb(X1,X3),X5))
| ~ contains_slb(X1,X3)
| ~ less_than(lookup_slb(X1,X3),X3) )
| ~ spl36_12 ),
inference(superposition,[],[f324,f171]) ).
fof(f682,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = i(remove_cpq(triple(X4,X1,X5),X3))
| ~ contains_slb(X1,X3)
| ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3)
| ~ less_than(lookup_slb(X1,X3),X3) )
| ~ spl36_12 ),
inference(superposition,[],[f652,f652]) ).
fof(f703,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( i(remove_cpq(triple(X0,X1,X2),X3)) = i(remove_cpq(triple(X4,X1,X5),X3))
| ~ contains_slb(X1,X3)
| ~ less_than(lookup_slb(X1,X3),X3) )
| ~ spl36_12 ),
inference(duplicate_literal_removal,[],[f682]) ).
fof(f772,definition,
( spl36_21
<=> contains_slb(sK15,sK20) ),
introduced(definition,[new_symbols(definition,[spl36_21])],[avatar_definition]) ).
fof(f774,plain,
( contains_slb(sK15,sK20)
| ~ spl36_21 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f776,definition,
( spl36_22
<=> sK18 = sK20 ),
introduced(definition,[new_symbols(definition,[spl36_22])],[avatar_definition]) ).
fof(f777,plain,
( sK18 != sK20
| spl36_22 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f778,plain,
( sK18 = sK20
| ~ spl36_22 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f783,plain,
( ~ contains_slb(insert_slb(sK15,pair(sK18,sK19)),sK20)
| spl36_6 ),
inference(resolution,[],[f234,f295]) ).
fof(f787,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( i(remove_cpq(triple(X4,insert_slb(X0,pair(X2,X3)),X5),X1)) = i(triple(X6,insert_slb(remove_slb(X0,X1),pair(X2,X3)),X7))
| ~ contains_slb(insert_slb(X0,pair(X2,X3)),X1)
| ~ less_than(lookup_slb(insert_slb(X0,pair(X2,X3)),X1),X1)
| X1 = X2
| ~ contains_slb(X0,X1) )
| ~ spl36_12 ),
inference(superposition,[],[f652,f217]) ).
fof(f789,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( i(remove_cpq(triple(X4,insert_slb(X0,pair(X2,X3)),X5),X1)) = i(triple(X6,insert_slb(remove_slb(X0,X1),pair(X2,X3)),X7))
| ~ contains_slb(insert_slb(X0,pair(X2,X3)),X1)
| ~ strictly_less_than(X1,lookup_slb(insert_slb(X0,pair(X2,X3)),X1))
| X1 = X2
| ~ contains_slb(X0,X1) )
| ~ spl36_12 ),
inference(superposition,[],[f573,f217]) ).
fof(f792,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( i(remove_cpq(triple(X4,insert_slb(X0,pair(X2,X3)),X5),X1)) = i(triple(X6,insert_slb(remove_slb(X0,X1),pair(X2,X3)),X7))
| ~ contains_slb(insert_slb(X0,pair(X2,X3)),X1)
| ~ strictly_less_than(X1,lookup_slb(insert_slb(X0,pair(X2,X3)),X1))
| X1 = X2 )
| ~ spl36_12 ),
inference(forward_subsumption_resolution,[],[f789,f223]) ).
fof(f794,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( i(remove_cpq(triple(X4,insert_slb(X0,pair(X2,X3)),X5),X1)) = i(triple(X6,insert_slb(remove_slb(X0,X1),pair(X2,X3)),X7))
| ~ contains_slb(insert_slb(X0,pair(X2,X3)),X1)
| ~ less_than(lookup_slb(insert_slb(X0,pair(X2,X3)),X1),X1)
| X1 = X2 )
| ~ spl36_12 ),
inference(forward_subsumption_resolution,[],[f787,f223]) ).
fof(f795,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( i(remove_cpq(triple(X4,insert_slb(X0,pair(X2,X3)),X5),X1)) = insert_pq(i(triple(X6,remove_slb(X0,X1),X7)),X2)
| ~ contains_slb(insert_slb(X0,pair(X2,X3)),X1)
| ~ strictly_less_than(X1,lookup_slb(insert_slb(X0,pair(X2,X3)),X1))
| X1 = X2 )
| ~ spl36_12 ),
inference(forward_demodulation,[],[f792,f187]) ).
fof(f796,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( i(remove_cpq(triple(X4,insert_slb(X0,pair(X2,X3)),X5),X1)) = insert_pq(i(triple(X6,remove_slb(X0,X1),X7)),X2)
| ~ contains_slb(insert_slb(X0,pair(X2,X3)),X1)
| ~ less_than(lookup_slb(insert_slb(X0,pair(X2,X3)),X1),X1)
| X1 = X2 )
| ~ spl36_12 ),
inference(forward_demodulation,[],[f794,f187]) ).
fof(f859,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ contains_pq(i(triple(X0,insert_slb(X1,pair(X2,X3)),X4)),X7)
| X2 = X7
| contains_pq(i(triple(X5,X1,X6)),X7) )
| ~ spl36_12 ),
inference(superposition,[],[f194,f446]) ).
fof(f861,plain,
( ! [X2,X0,X1,X6,X7,X4,X5] :
( ~ contains_pq(insert_pq(i(triple(X0,X1,X4)),X2),X7)
| X2 = X7
| contains_pq(i(triple(X5,X1,X6)),X7) )
| ~ spl36_12 ),
inference(forward_demodulation,[],[f859,f187]) ).
fof(f875,plain,
( sK18 = sK20
| contains_slb(sK15,sK20)
| ~ spl36_6 ),
inference(resolution,[],[f629,f223]) ).
fof(f1365,plain,
( ! [X0,X1] : ~ contains_pq(i(triple(X0,sK15,X1)),sK20)
| spl36_7
| ~ spl36_12 ),
inference(resolution,[],[f196,f634]) ).
fof(f1366,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( contains_pq(i(triple(X5,X1,X6)),X3)
| X3 = X4
| ~ contains_pq(i(triple(X0,X1,X2)),X3) )
| ~ spl36_12 ),
inference(resolution,[],[f196,f861]) ).
fof(f3219,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( i(remove_cpq(triple(X1,insert_slb(X0,pair(X2,X3)),X4),X2)) = i(triple(X5,X0,X6))
| ~ contains_slb(insert_slb(X0,pair(X2,X3)),X2)
| ~ strictly_less_than(X2,lookup_slb(insert_slb(X0,pair(X2,X3)),X2)) )
| ~ spl36_12 ),
inference(superposition,[],[f573,f218]) ).
fof(f3220,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( i(remove_cpq(triple(X1,insert_slb(X0,pair(X2,X3)),X4),X2)) = i(triple(X5,X0,X6))
| ~ contains_slb(insert_slb(X0,pair(X2,X3)),X2)
| ~ less_than(lookup_slb(insert_slb(X0,pair(X2,X3)),X2),X2) )
| ~ spl36_12 ),
inference(superposition,[],[f652,f218]) ).
fof(f4620,plain,
! [X0,X1] :
( contains_pq(i(X0),X1)
| ~ pi_remove(X0,X1) ),
inference(resolution,[],[f167,f166]) ).
fof(f4627,plain,
( ! [X0,X1] : ~ pi_remove(triple(X0,sK2,X1),sK4)
| spl36_4
| ~ spl36_9
| ~ spl36_12 ),
inference(resolution,[],[f4620,f447]) ).
fof(f4684,plain,
( $false
| spl36_4
| ~ spl36_9
| ~ spl36_12 ),
inference(resolution,[],[f4627,f154]) ).
fof(f4685,plain,
( spl36_4
| ~ spl36_9
| ~ spl36_12 ),
inference(avatar_contradiction_clause,[],[f4684]) ).
fof(f4687,plain,
( ! [X0,X1] : ~ pi_remove(triple(X0,sK2,X1),sK4)
| spl36_5
| ~ spl36_12 ),
inference(resolution,[],[f287,f450]) ).
fof(f4740,plain,
( $false
| spl36_5
| ~ spl36_12 ),
inference(resolution,[],[f4687,f154]) ).
fof(f4741,plain,
( spl36_5
| ~ spl36_12 ),
inference(avatar_contradiction_clause,[],[f4740]) ).
fof(f4742,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( i(remove_cpq(triple(X1,insert_slb(X0,pair(X2,X3)),X4),X2)) = i(triple(X5,X0,X6))
| ~ less_than(lookup_slb(insert_slb(X0,pair(X2,X3)),X2),X2) )
| ~ spl36_12 ),
inference(forward_subsumption_resolution,[],[f3220,f251]) ).
fof(f4743,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( i(remove_cpq(triple(X1,insert_slb(X0,pair(X2,X3)),X4),X2)) = i(triple(X5,X0,X6))
| ~ strictly_less_than(X2,lookup_slb(insert_slb(X0,pair(X2,X3)),X2)) )
| ~ spl36_12 ),
inference(forward_subsumption_resolution,[],[f3219,f251]) ).
fof(f4752,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( i(remove_cpq(triple(X1,insert_slb(X0,pair(X2,X3)),X4),X2)) = i(triple(X5,X0,X6))
| ~ less_than(X3,X2) )
| ~ spl36_12 ),
inference(forward_demodulation,[],[f4742,f216]) ).
fof(f4753,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( i(remove_cpq(triple(X1,insert_slb(X0,pair(X2,X3)),X4),X2)) = i(triple(X5,X0,X6))
| ~ strictly_less_than(X2,X3) )
| ~ spl36_12 ),
inference(forward_demodulation,[],[f4743,f216]) ).
fof(f4769,plain,
( ! [X2,X3,X0,X1,X4] :
( i(remove_cpq(triple(X2,sK8,X3),X4)) = remove_pq(i(triple(X0,sK8,X1)),X4)
| ~ contains_pq(i(triple(X0,sK8,X1)),X4) )
| ~ spl36_8
| ~ spl36_12 ),
inference(superposition,[],[f308,f324]) ).
fof(f4770,plain,
( ! [X2,X3,X0,X1] :
( remove_pq(insert_pq(i(triple(X0,sK8,X1)),X3),X2) = insert_pq(i(remove_cpq(triple(X0,sK8,X1),X2)),X3)
| ~ contains_pq(i(triple(X0,sK8,X1)),X2)
| X2 = X3
| ~ contains_pq(i(triple(X0,sK8,X1)),X2) )
| ~ spl36_8 ),
inference(superposition,[],[f164,f308]) ).
fof(f4771,plain,
( ! [X2,X3,X0,X1] :
( remove_pq(insert_pq(i(triple(X0,sK8,X1)),X3),X2) = insert_pq(i(remove_cpq(triple(X0,sK8,X1),X2)),X3)
| ~ contains_pq(i(triple(X0,sK8,X1)),X2)
| X2 = X3 )
| ~ spl36_8 ),
inference(duplicate_literal_removal,[],[f4770]) ).
fof(f4801,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( remove_pq(insert_pq(i(triple(X3,sK8,X4)),X5),X2) = insert_pq(i(remove_cpq(triple(X0,sK8,X1),X2)),X5)
| ~ contains_pq(i(triple(X3,sK8,X4)),X2)
| X2 = X5
| ~ contains_pq(i(triple(X3,sK8,X4)),X2) )
| ~ spl36_8
| ~ spl36_12 ),
inference(superposition,[],[f164,f4769]) ).
fof(f4802,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( remove_pq(insert_pq(i(triple(X3,sK8,X4)),X5),X2) = insert_pq(i(remove_cpq(triple(X0,sK8,X1),X2)),X5)
| ~ contains_pq(i(triple(X3,sK8,X4)),X2)
| X2 = X5 )
| ~ spl36_8
| ~ spl36_12 ),
inference(duplicate_literal_removal,[],[f4801]) ).
fof(f4861,plain,
( ! [X0,X1] :
( sK11 = sK12
| contains_pq(i(triple(X0,sK8,X1)),sK11) )
| ~ spl36_12
| ~ spl36_16 ),
inference(resolution,[],[f345,f861]) ).
fof(f4867,definition,
( spl36_28
<=> ! [X0,X1] : contains_pq(i(triple(X0,sK8,X1)),sK11) ),
introduced(definition,[new_symbols(definition,[spl36_28])],[avatar_definition]) ).
fof(f4868,plain,
( ! [X0,X1] : contains_pq(i(triple(X0,sK8,X1)),sK11)
| ~ spl36_28 ),
inference(avatar_component_clause,[],[f4867]) ).
fof(f4870,definition,
( spl36_29
<=> sK11 = sK12 ),
introduced(definition,[new_symbols(definition,[spl36_29])],[avatar_definition]) ).
fof(f4871,plain,
( sK11 != sK12
| spl36_29 ),
inference(avatar_component_clause,[],[f4870]) ).
fof(f4872,plain,
( sK11 = sK12
| ~ spl36_29 ),
inference(avatar_component_clause,[],[f4870]) ).
fof(f4873,plain,
( spl36_28
| spl36_29
| ~ spl36_12
| ~ spl36_16 ),
inference(avatar_split_clause,[],[f4861,f343,f323,f4870,f4867]) ).
fof(f4888,plain,
( ! [X0,X1] :
( remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11) != insert_pq(i(triple(X0,remove_slb(sK8,sK11),X1)),sK12)
| ~ contains_slb(insert_slb(sK8,pair(sK12,sK13)),sK11)
| ~ strictly_less_than(sK11,lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11))
| sK11 = sK12 )
| ~ spl36_12
| spl36_17 ),
inference(superposition,[],[f350,f795]) ).
fof(f4889,plain,
( ! [X0,X1] :
( remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11) != insert_pq(i(triple(X0,remove_slb(sK8,sK11),X1)),sK12)
| ~ contains_slb(insert_slb(sK8,pair(sK12,sK13)),sK11)
| ~ less_than(lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11),sK11)
| sK11 = sK12 )
| ~ spl36_12
| spl36_17 ),
inference(superposition,[],[f350,f796]) ).
fof(f4892,plain,
( ! [X0,X1] :
( remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11) != i(remove_cpq(triple(X0,insert_slb(sK8,pair(sK12,sK13)),X1),sK11))
| ~ contains_slb(insert_slb(sK8,pair(sK12,sK13)),sK11)
| ~ strictly_less_than(sK11,lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11)) )
| ~ spl36_12
| spl36_17 ),
inference(superposition,[],[f350,f612]) ).
fof(f4895,plain,
( ! [X0,X1] :
( remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11) != i(remove_cpq(triple(X0,insert_slb(sK8,pair(sK12,sK13)),X1),sK11))
| ~ contains_slb(insert_slb(sK8,pair(sK12,sK13)),sK11)
| ~ less_than(lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11),sK11) )
| ~ spl36_12
| spl36_17 ),
inference(superposition,[],[f350,f703]) ).
fof(f4896,plain,
( ! [X0,X1] :
( remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK11),sK11) != i(remove_cpq(triple(X0,insert_slb(sK8,pair(sK11,sK13)),X1),sK11))
| ~ contains_slb(insert_slb(sK8,pair(sK12,sK13)),sK11)
| ~ less_than(lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11),sK11) )
| ~ spl36_12
| spl36_17
| ~ spl36_29 ),
inference(forward_demodulation,[],[f4895,f4872]) ).
fof(f4899,plain,
( ! [X0,X1] :
( remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK11),sK11) != i(remove_cpq(triple(X0,insert_slb(sK8,pair(sK11,sK13)),X1),sK11))
| ~ contains_slb(insert_slb(sK8,pair(sK12,sK13)),sK11)
| ~ strictly_less_than(sK11,lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11)) )
| ~ spl36_12
| spl36_17
| ~ spl36_29 ),
inference(forward_demodulation,[],[f4892,f4872]) ).
fof(f4906,plain,
( ! [X0,X1] :
( i(triple(sK9,sK8,sK10)) != i(remove_cpq(triple(X0,insert_slb(sK8,pair(sK11,sK13)),X1),sK11))
| ~ contains_slb(insert_slb(sK8,pair(sK12,sK13)),sK11)
| ~ less_than(lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11),sK11) )
| ~ spl36_12
| spl36_17
| ~ spl36_29 ),
inference(forward_demodulation,[],[f4896,f165]) ).
fof(f4909,plain,
( ! [X0,X1] :
( i(triple(sK9,sK8,sK10)) != i(remove_cpq(triple(X0,insert_slb(sK8,pair(sK11,sK13)),X1),sK11))
| ~ contains_slb(insert_slb(sK8,pair(sK12,sK13)),sK11)
| ~ strictly_less_than(sK11,lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11)) )
| ~ spl36_12
| spl36_17
| ~ spl36_29 ),
inference(forward_demodulation,[],[f4899,f165]) ).
fof(f4915,plain,
( ! [X0,X1] :
( ~ contains_slb(insert_slb(sK8,pair(sK11,sK13)),sK11)
| i(triple(sK9,sK8,sK10)) != i(remove_cpq(triple(X0,insert_slb(sK8,pair(sK11,sK13)),X1),sK11))
| ~ less_than(lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11),sK11) )
| ~ spl36_12
| spl36_17
| ~ spl36_29 ),
inference(forward_demodulation,[],[f4906,f4872]) ).
fof(f4918,plain,
( ! [X0,X1] :
( ~ contains_slb(insert_slb(sK8,pair(sK11,sK13)),sK11)
| i(triple(sK9,sK8,sK10)) != i(remove_cpq(triple(X0,insert_slb(sK8,pair(sK11,sK13)),X1),sK11))
| ~ strictly_less_than(sK11,lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11)) )
| ~ spl36_12
| spl36_17
| ~ spl36_29 ),
inference(forward_demodulation,[],[f4909,f4872]) ).
fof(f4924,plain,
( ! [X0,X1] :
( i(triple(sK9,sK8,sK10)) != i(remove_cpq(triple(X0,insert_slb(sK8,pair(sK11,sK13)),X1),sK11))
| ~ less_than(lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11),sK11) )
| ~ spl36_12
| spl36_17
| ~ spl36_29 ),
inference(forward_subsumption_resolution,[],[f4915,f251]) ).
fof(f4927,plain,
( ! [X0,X1] :
( i(triple(sK9,sK8,sK10)) != i(remove_cpq(triple(X0,insert_slb(sK8,pair(sK11,sK13)),X1),sK11))
| ~ strictly_less_than(sK11,lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11)) )
| ~ spl36_12
| spl36_17
| ~ spl36_29 ),
inference(forward_subsumption_resolution,[],[f4918,f251]) ).
fof(f4933,plain,
( ! [X0,X1] :
( ~ less_than(lookup_slb(insert_slb(sK8,pair(sK11,sK13)),sK11),sK11)
| i(triple(sK9,sK8,sK10)) != i(remove_cpq(triple(X0,insert_slb(sK8,pair(sK11,sK13)),X1),sK11)) )
| ~ spl36_12
| spl36_17
| ~ spl36_29 ),
inference(forward_demodulation,[],[f4924,f4872]) ).
fof(f4936,plain,
( ! [X0,X1] :
( ~ strictly_less_than(sK11,lookup_slb(insert_slb(sK8,pair(sK11,sK13)),sK11))
| i(triple(sK9,sK8,sK10)) != i(remove_cpq(triple(X0,insert_slb(sK8,pair(sK11,sK13)),X1),sK11)) )
| ~ spl36_12
| spl36_17
| ~ spl36_29 ),
inference(forward_demodulation,[],[f4927,f4872]) ).
fof(f4941,plain,
( ! [X0,X1] :
( ~ less_than(sK13,sK11)
| i(triple(sK9,sK8,sK10)) != i(remove_cpq(triple(X0,insert_slb(sK8,pair(sK11,sK13)),X1),sK11)) )
| ~ spl36_12
| spl36_17
| ~ spl36_29 ),
inference(forward_demodulation,[],[f4933,f216]) ).
fof(f4944,plain,
( ! [X0,X1] :
( ~ strictly_less_than(sK11,sK13)
| i(triple(sK9,sK8,sK10)) != i(remove_cpq(triple(X0,insert_slb(sK8,pair(sK11,sK13)),X1),sK11)) )
| ~ spl36_12
| spl36_17
| ~ spl36_29 ),
inference(forward_demodulation,[],[f4936,f216]) ).
fof(f4949,plain,
( ~ less_than(sK13,sK11)
| ~ spl36_12
| spl36_17
| ~ spl36_29 ),
inference(forward_subsumption_resolution,[],[f4941,f4752]) ).
fof(f4952,plain,
( ~ strictly_less_than(sK11,sK13)
| ~ spl36_12
| spl36_17
| ~ spl36_29 ),
inference(forward_subsumption_resolution,[],[f4944,f4753]) ).
fof(f4959,plain,
( less_than(sK13,sK11)
| ~ spl36_12
| spl36_17
| ~ spl36_29 ),
inference(resolution,[],[f4952,f252]) ).
fof(f4960,plain,
( $false
| ~ spl36_12
| spl36_17
| ~ spl36_29 ),
inference(forward_subsumption_resolution,[],[f4959,f4949]) ).
fof(f4961,plain,
( ~ spl36_12
| spl36_17
| ~ spl36_29 ),
inference(avatar_contradiction_clause,[],[f4960]) ).
fof(f4963,definition,
( spl36_31
<=> less_than(lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11),sK11) ),
introduced(definition,[new_symbols(definition,[spl36_31])],[avatar_definition]) ).
fof(f4965,plain,
( ~ less_than(lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11),sK11)
| spl36_31 ),
inference(avatar_component_clause,[],[f4963]) ).
fof(f4967,definition,
( spl36_32
<=> contains_slb(insert_slb(sK8,pair(sK12,sK13)),sK11) ),
introduced(definition,[new_symbols(definition,[spl36_32])],[avatar_definition]) ).
fof(f4969,plain,
( ~ contains_slb(insert_slb(sK8,pair(sK12,sK13)),sK11)
| spl36_32 ),
inference(avatar_component_clause,[],[f4967]) ).
fof(f4980,definition,
( spl36_35
<=> strictly_less_than(sK11,lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11)) ),
introduced(definition,[new_symbols(definition,[spl36_35])],[avatar_definition]) ).
fof(f4982,plain,
( ~ strictly_less_than(sK11,lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11))
| spl36_35 ),
inference(avatar_component_clause,[],[f4980]) ).
fof(f4986,plain,
( ! [X0,X1] :
( remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11) != insert_pq(i(triple(X0,remove_slb(sK8,sK11),X1)),sK12)
| ~ contains_slb(insert_slb(sK8,pair(sK12,sK13)),sK11)
| ~ less_than(lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11),sK11) )
| ~ spl36_12
| spl36_17
| spl36_29 ),
inference(forward_subsumption_resolution,[],[f4889,f4871]) ).
fof(f4987,plain,
( ! [X0,X1] :
( remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11) != insert_pq(i(triple(X0,remove_slb(sK8,sK11),X1)),sK12)
| ~ contains_slb(insert_slb(sK8,pair(sK12,sK13)),sK11)
| ~ strictly_less_than(sK11,lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11)) )
| ~ spl36_12
| spl36_17
| spl36_29 ),
inference(forward_subsumption_resolution,[],[f4888,f4871]) ).
fof(f5001,definition,
( spl36_38
<=> ! [X0,X1] : remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11) != insert_pq(i(triple(X0,remove_slb(sK8,sK11),X1)),sK12) ),
introduced(definition,[new_symbols(definition,[spl36_38])],[avatar_definition]) ).
fof(f5002,plain,
( ! [X0,X1] : remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11) != insert_pq(i(triple(X0,remove_slb(sK8,sK11),X1)),sK12)
| ~ spl36_38 ),
inference(avatar_component_clause,[],[f5001]) ).
fof(f5003,plain,
( ~ spl36_31
| ~ spl36_32
| spl36_38
| ~ spl36_12
| spl36_17
| spl36_29 ),
inference(avatar_split_clause,[],[f4986,f4870,f348,f323,f5001,f4967,f4963]) ).
fof(f5004,plain,
( ~ spl36_35
| ~ spl36_32
| spl36_38
| ~ spl36_12
| spl36_17
| spl36_29 ),
inference(avatar_split_clause,[],[f4987,f4870,f348,f323,f5001,f4967,f4980]) ).
fof(f5006,definition,
( spl36_39
<=> strictly_less_than(sK11,lookup_slb(sK8,sK11)) ),
introduced(definition,[new_symbols(definition,[spl36_39])],[avatar_definition]) ).
fof(f5008,plain,
( ~ strictly_less_than(sK11,lookup_slb(sK8,sK11))
| spl36_39 ),
inference(avatar_component_clause,[],[f5006]) ).
fof(f5010,definition,
( spl36_40
<=> ! [X0,X1] : remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11) != insert_pq(i(remove_cpq(triple(X0,sK8,X1),sK11)),sK12) ),
introduced(definition,[new_symbols(definition,[spl36_40])],[avatar_definition]) ).
fof(f5011,plain,
( ! [X0,X1] : remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11) != insert_pq(i(remove_cpq(triple(X0,sK8,X1),sK11)),sK12)
| ~ spl36_40 ),
inference(avatar_component_clause,[],[f5010]) ).
fof(f5014,definition,
( spl36_41
<=> less_than(lookup_slb(sK8,sK11),sK11) ),
introduced(definition,[new_symbols(definition,[spl36_41])],[avatar_definition]) ).
fof(f5016,plain,
( ~ less_than(lookup_slb(sK8,sK11),sK11)
| spl36_41 ),
inference(avatar_component_clause,[],[f5014]) ).
fof(f5080,plain,
( ~ contains_slb(sK8,sK11)
| spl36_32 ),
inference(resolution,[],[f4969,f225]) ).
fof(f5836,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( remove_pq(insert_pq(i(triple(X0,sK8,X1)),X2),X3) = remove_pq(insert_pq(i(triple(X4,sK8,X5)),X2),X3)
| ~ contains_pq(i(triple(X4,sK8,X5)),X3)
| X2 = X3
| ~ contains_pq(i(triple(X0,sK8,X1)),X3)
| X2 = X3 )
| ~ spl36_8
| ~ spl36_12 ),
inference(superposition,[],[f4771,f4802]) ).
fof(f5841,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( remove_pq(insert_pq(i(triple(X0,sK8,X1)),X2),X3) = remove_pq(insert_pq(i(triple(X4,sK8,X5)),X2),X3)
| ~ contains_pq(i(triple(X4,sK8,X5)),X3)
| X2 = X3
| ~ contains_pq(i(triple(X0,sK8,X1)),X3) )
| ~ spl36_8
| ~ spl36_12 ),
inference(duplicate_literal_removal,[],[f5836]) ).
fof(f5849,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( remove_pq(insert_pq(i(triple(X0,sK8,X1)),X2),X3) = remove_pq(insert_pq(i(triple(X4,sK8,X5)),X2),X3)
| ~ contains_pq(i(triple(X4,sK8,X5)),X3)
| X2 = X3 )
| ~ spl36_8
| ~ spl36_12 ),
inference(forward_subsumption_resolution,[],[f5841,f1366]) ).
fof(f5908,plain,
( ! [X0,X1] : ~ contains_cpq(triple(X0,sK15,X1),sK20)
| ~ spl36_2
| spl36_7
| ~ spl36_12 ),
inference(resolution,[],[f1365,f266]) ).
fof(f5916,plain,
( ~ contains_slb(sK15,sK20)
| ~ spl36_2
| spl36_7
| ~ spl36_12 ),
inference(resolution,[],[f5908,f234]) ).
fof(f5960,plain,
( ! [X0,X1] : contains_cpq(triple(X0,sK8,X1),sK11)
| ~ spl36_15
| ~ spl36_28 ),
inference(resolution,[],[f337,f4868]) ).
fof(f6161,plain,
( contains_slb(sK8,sK11)
| ~ spl36_15
| ~ spl36_28 ),
inference(resolution,[],[f5960,f233]) ).
fof(f6162,plain,
( $false
| ~ spl36_15
| ~ spl36_28
| spl36_32 ),
inference(forward_subsumption_resolution,[],[f6161,f5080]) ).
fof(f6163,plain,
( ~ spl36_15
| ~ spl36_28
| spl36_32 ),
inference(avatar_contradiction_clause,[],[f6162]) ).
fof(f6164,plain,
( ~ spl36_21
| ~ spl36_2
| spl36_7
| ~ spl36_12 ),
inference(avatar_split_clause,[],[f5916,f323,f298,f265,f772]) ).
fof(f6166,plain,
( spl36_21
| spl36_22
| ~ spl36_6 ),
inference(avatar_split_clause,[],[f875,f294,f776,f772]) ).
fof(f6176,plain,
( ~ contains_pq(insert_pq(i(triple(sK16,sK15,sK17)),sK18),sK18)
| spl36_7
| ~ spl36_22 ),
inference(superposition,[],[f299,f778]) ).
fof(f6181,plain,
( $false
| spl36_7
| ~ spl36_22 ),
inference(forward_subsumption_resolution,[],[f6176,f248]) ).
fof(f6182,plain,
( spl36_7
| ~ spl36_22 ),
inference(avatar_contradiction_clause,[],[f6181]) ).
fof(f6184,plain,
( ~ contains_slb(insert_slb(sK15,pair(sK18,sK19)),sK18)
| spl36_6
| ~ spl36_22 ),
inference(forward_demodulation,[],[f783,f778]) ).
fof(f6187,plain,
( $false
| spl36_6
| ~ spl36_22 ),
inference(forward_subsumption_resolution,[],[f6184,f251]) ).
fof(f6188,plain,
( spl36_6
| ~ spl36_22 ),
inference(avatar_contradiction_clause,[],[f6187]) ).
fof(f6197,plain,
( ! [X0,X1] :
( sK18 = sK20
| contains_pq(i(triple(X0,sK15,X1)),sK20) )
| ~ spl36_7
| ~ spl36_12 ),
inference(resolution,[],[f300,f861]) ).
fof(f6202,plain,
( ! [X0,X1] : contains_pq(i(triple(X0,sK15,X1)),sK20)
| ~ spl36_7
| ~ spl36_12
| spl36_22 ),
inference(forward_subsumption_resolution,[],[f6197,f777]) ).
fof(f6204,plain,
( ! [X0,X1] : contains_cpq(triple(X0,sK15,X1),sK20)
| ~ spl36_3
| ~ spl36_7
| ~ spl36_12
| spl36_22 ),
inference(resolution,[],[f6202,f270]) ).
fof(f6209,plain,
( contains_slb(sK15,sK20)
| ~ spl36_3
| ~ spl36_7
| ~ spl36_12
| spl36_22 ),
inference(resolution,[],[f6204,f233]) ).
fof(f6210,plain,
( spl36_21
| ~ spl36_3
| ~ spl36_7
| ~ spl36_12
| spl36_22 ),
inference(avatar_split_clause,[],[f6209,f776,f323,f298,f269,f772]) ).
fof(f6226,plain,
( ~ contains_slb(sK15,sK20)
| spl36_6 ),
inference(resolution,[],[f783,f225]) ).
fof(f6227,plain,
( $false
| spl36_6
| ~ spl36_21 ),
inference(forward_subsumption_resolution,[],[f6226,f774]) ).
fof(f6228,plain,
( spl36_6
| ~ spl36_21 ),
inference(avatar_contradiction_clause,[],[f6227]) ).
fof(f6492,plain,
( less_than(lookup_slb(insert_slb(sK8,pair(sK12,sK13)),sK11),sK11)
| spl36_35 ),
inference(resolution,[],[f4982,f252]) ).
fof(f6495,plain,
( $false
| spl36_31
| spl36_35 ),
inference(forward_subsumption_resolution,[],[f6492,f4965]) ).
fof(f6496,plain,
( spl36_31
| spl36_35 ),
inference(avatar_contradiction_clause,[],[f6495]) ).
fof(f6578,plain,
( ! [X0,X1] :
( remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11) != insert_pq(i(remove_cpq(triple(X0,sK8,X1),sK11)),sK12)
| ~ contains_slb(sK8,sK11)
| ~ strictly_less_than(sK11,lookup_slb(sK8,sK11)) )
| ~ spl36_38 ),
inference(superposition,[],[f5002,f170]) ).
fof(f6579,plain,
( ! [X0,X1] :
( remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11) != insert_pq(i(remove_cpq(triple(X0,sK8,X1),sK11)),sK12)
| ~ contains_slb(sK8,sK11)
| ~ less_than(lookup_slb(sK8,sK11),sK11) )
| ~ spl36_38 ),
inference(superposition,[],[f5002,f171]) ).
fof(f6596,plain,
( ! [X0,X1] :
( remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11) != insert_pq(i(remove_cpq(triple(X0,sK8,X1),sK11)),sK12)
| ~ less_than(lookup_slb(sK8,sK11),sK11) )
| ~ spl36_15
| ~ spl36_28
| ~ spl36_38 ),
inference(forward_subsumption_resolution,[],[f6579,f6161]) ).
fof(f6597,plain,
( ! [X0,X1] :
( remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11) != insert_pq(i(remove_cpq(triple(X0,sK8,X1),sK11)),sK12)
| ~ strictly_less_than(sK11,lookup_slb(sK8,sK11)) )
| ~ spl36_15
| ~ spl36_28
| ~ spl36_38 ),
inference(forward_subsumption_resolution,[],[f6578,f6161]) ).
fof(f6600,plain,
( ~ spl36_41
| spl36_40
| ~ spl36_15
| ~ spl36_28
| ~ spl36_38 ),
inference(avatar_split_clause,[],[f6596,f5001,f4867,f336,f5010,f5014]) ).
fof(f6601,plain,
( ~ spl36_39
| spl36_40
| ~ spl36_15
| ~ spl36_28
| ~ spl36_38 ),
inference(avatar_split_clause,[],[f6597,f5001,f4867,f336,f5010,f5006]) ).
fof(f6616,plain,
( less_than(lookup_slb(sK8,sK11),sK11)
| spl36_39 ),
inference(resolution,[],[f5008,f252]) ).
fof(f6617,plain,
( $false
| spl36_39
| spl36_41 ),
inference(forward_subsumption_resolution,[],[f6616,f5016]) ).
fof(f6618,plain,
( spl36_39
| spl36_41 ),
inference(avatar_contradiction_clause,[],[f6617]) ).
fof(f6673,plain,
( ! [X0,X1] :
( remove_pq(insert_pq(i(triple(sK9,sK8,sK10)),sK12),sK11) != remove_pq(insert_pq(i(triple(X0,sK8,X1)),sK12),sK11)
| ~ contains_pq(i(triple(X0,sK8,X1)),sK11)
| sK11 = sK12 )
| ~ spl36_8
| ~ spl36_12
| ~ spl36_40 ),
inference(superposition,[],[f5011,f4802]) ).
fof(f6676,plain,
( ! [X0,X1] :
( ~ contains_pq(i(triple(X0,sK8,X1)),sK11)
| sK11 = sK12 )
| ~ spl36_8
| ~ spl36_12
| ~ spl36_40 ),
inference(forward_subsumption_resolution,[],[f6673,f5849]) ).
fof(f6679,plain,
( ! [X0,X1] : ~ contains_pq(i(triple(X0,sK8,X1)),sK11)
| ~ spl36_8
| ~ spl36_12
| spl36_29
| ~ spl36_40 ),
inference(forward_subsumption_resolution,[],[f6676,f4871]) ).
fof(f6682,plain,
( $false
| ~ spl36_8
| ~ spl36_12
| ~ spl36_28
| spl36_29
| ~ spl36_40 ),
inference(forward_subsumption_resolution,[],[f6679,f4868]) ).
fof(f6683,plain,
( ~ spl36_8
| ~ spl36_12
| ~ spl36_28
| spl36_29
| ~ spl36_40 ),
inference(avatar_contradiction_clause,[],[f6682]) ).
cnf(s1,plain,
( ~ spl36_1
| spl36_2 ),
inference(sat_conversion,[],[f267]) ).
cnf(s2,plain,
( ~ spl36_1
| spl36_3 ),
inference(sat_conversion,[],[f271]) ).
cnf(s3,plain,
( ~ spl36_4
| ~ spl36_5 ),
inference(sat_conversion,[],[f288]) ).
cnf(s4,plain,
( ~ spl36_1
| spl36_6
| spl36_7 ),
inference(sat_conversion,[],[f301]) ).
cnf(s5,plain,
( ~ spl36_1
| ~ spl36_6
| ~ spl36_7 ),
inference(sat_conversion,[],[f302]) ).
cnf(s7,plain,
( spl36_11
| spl36_12 ),
inference(sat_conversion,[],[f325]) ).
cnf(s9,plain,
( spl36_1
| spl36_13
| spl36_15 ),
inference(sat_conversion,[],[f338]) ).
cnf(s10,plain,
( spl36_8
| spl36_9 ),
inference(sat_conversion,[],[f339]) ).
cnf(s13,plain,
( spl36_9
| spl36_16 ),
inference(sat_conversion,[],[f353]) ).
cnf(s14,plain,
( spl36_9
| ~ spl36_17 ),
inference(sat_conversion,[],[f354]) ).
cnf(s15,plain,
( spl36_12
| ~ spl36_18 ),
inference(sat_conversion,[],[f359]) ).
cnf(s17,plain,
( ~ spl36_11
| spl36_18 ),
inference(sat_conversion,[],[f428]) ).
cnf(s22,plain,
~ spl36_13,
inference(sat_conversion,[],[f623]) ).
cnf(s29,plain,
( spl36_4
| ~ spl36_9
| ~ spl36_12 ),
inference(sat_conversion,[],[f4685]) ).
cnf(s30,plain,
( spl36_5
| ~ spl36_12 ),
inference(sat_conversion,[],[f4741]) ).
cnf(s31,plain,
( ~ spl36_12
| ~ spl36_16
| spl36_28
| spl36_29 ),
inference(sat_conversion,[],[f4873]) ).
cnf(s33,plain,
( ~ spl36_12
| spl36_17
| ~ spl36_29 ),
inference(sat_conversion,[],[f4961]) ).
cnf(s43,plain,
( ~ spl36_12
| spl36_17
| spl36_29
| ~ spl36_31
| ~ spl36_32
| spl36_38 ),
inference(sat_conversion,[],[f5003]) ).
cnf(s44,plain,
( ~ spl36_12
| spl36_17
| spl36_29
| ~ spl36_32
| ~ spl36_35
| spl36_38 ),
inference(sat_conversion,[],[f5004]) ).
cnf(s49,plain,
( ~ spl36_15
| ~ spl36_28
| spl36_32 ),
inference(sat_conversion,[],[f6163]) ).
cnf(s50,plain,
( ~ spl36_2
| spl36_7
| ~ spl36_12
| ~ spl36_21 ),
inference(sat_conversion,[],[f6164]) ).
cnf(s52,plain,
( ~ spl36_6
| spl36_21
| spl36_22 ),
inference(sat_conversion,[],[f6166]) ).
cnf(s54,plain,
( spl36_7
| ~ spl36_22 ),
inference(sat_conversion,[],[f6182]) ).
cnf(s55,plain,
( spl36_6
| ~ spl36_22 ),
inference(sat_conversion,[],[f6188]) ).
cnf(s56,plain,
( ~ spl36_3
| ~ spl36_7
| ~ spl36_12
| spl36_21
| spl36_22 ),
inference(sat_conversion,[],[f6210]) ).
cnf(s57,plain,
( spl36_6
| ~ spl36_21 ),
inference(sat_conversion,[],[f6228]) ).
cnf(s63,plain,
( spl36_31
| spl36_35 ),
inference(sat_conversion,[],[f6496]) ).
cnf(s67,plain,
( ~ spl36_15
| ~ spl36_28
| ~ spl36_38
| spl36_40
| ~ spl36_41 ),
inference(sat_conversion,[],[f6600]) ).
cnf(s68,plain,
( ~ spl36_15
| ~ spl36_28
| ~ spl36_38
| ~ spl36_39
| spl36_40 ),
inference(sat_conversion,[],[f6601]) ).
cnf(s69,plain,
( spl36_39
| spl36_41 ),
inference(sat_conversion,[],[f6618]) ).
cnf(s71,plain,
( ~ spl36_8
| ~ spl36_12
| ~ spl36_28
| spl36_29
| ~ spl36_40 ),
inference(sat_conversion,[],[f6683]) ).
cnf(s72,plain,
( spl36_1
| spl36_15 ),
inference(rat,[],[s9,s22]) ).
cnf(s74,plain,
spl36_12,
inference(rat,[],[s17,s7,s15]) ).
cnf(s75,plain,
spl36_5,
inference(rat,[],[s30,s74]) ).
cnf(s77,plain,
~ spl36_4,
inference(rat,[],[s3,s75]) ).
cnf(s78,plain,
~ spl36_9,
inference(rat,[],[s29,s74,s77]) ).
cnf(s79,plain,
~ spl36_17,
inference(rat,[],[s14,s78]) ).
cnf(s80,plain,
spl36_16,
inference(rat,[],[s13,s78]) ).
cnf(s81,plain,
spl36_8,
inference(rat,[],[s10,s78]) ).
cnf(s82,plain,
~ spl36_29,
inference(rat,[],[s33,s74,s79]) ).
cnf(s83,plain,
spl36_28,
inference(rat,[],[s31,s82,s74,s80]) ).
cnf(s85,plain,
~ spl36_40,
inference(rat,[],[s71,s81,s74,s83,s82]) ).
cnf(s86,plain,
( ~ spl36_38
| ~ spl36_15 ),
inference(rat,[],[s69,s67,s68,s83,s85]) ).
cnf(s87,plain,
( spl36_38
| ~ spl36_32 ),
inference(rat,[],[s63,s43,s44,s82,s79,s74]) ).
cnf(s88,plain,
~ spl36_15,
inference(rat,[],[s87,s86,s49,s83]) ).
cnf(s89,plain,
spl36_1,
inference(rat,[],[s72,s88]) ).
cnf(s90,plain,
spl36_3,
inference(rat,[],[s2,s89]) ).
cnf(s91,plain,
spl36_2,
inference(rat,[],[s1,s89]) ).
cnf(s92,plain,
spl36_6,
inference(rat,[],[s56,s4,s55,s57,s74,s90,s89]) ).
cnf(s93,plain,
~ spl36_7,
inference(rat,[],[s5,s89,s92]) ).
cnf(s95,plain,
~ spl36_22,
inference(rat,[],[s54,s93]) ).
cnf(s97,plain,
~ spl36_21,
inference(rat,[],[s50,s91,s74,s93]) ).
cnf(s98,plain,
$false,
inference(rat,[],[s52,s92,s95,s97]) ).
fof(f6684,plain,
$false,
inference(avatar_sat_refutation,[],[s98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV416+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 10:51:30 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.27/2.40 % (3317296)Detected formulas, will run a generic FOF schedule.
% 12.27/2.40 % (3317303)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3697902843:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.27/2.40 % (3317306)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2165730383:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.27/2.40 % (3317307)dis-21_1_sil=8000:lcm=predicate:random_seed=1159899306:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 12.27/2.40 % (3317305)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2472324022:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.27/2.40 % (3317301)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1720818500:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.27/2.40 % (3317302)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=778632799:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.27/2.40 % (3317304)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1252831494:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.27/2.40 % (3317304)Refutation not found, incomplete strategy
% 12.27/2.40 % (3317304)------------------------------
% 12.27/2.40 % (3317304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.40 % (3317304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.40 % (3317304)CaDiCaL version: 2.1.3
% 12.27/2.40 % (3317304)Termination reason: Refutation not found, incomplete strategy
% 12.27/2.40 % (3317304)Time elapsed: 0.005 s
% 12.27/2.40 % (3317304)Peak memory usage: 88 MB
% 12.27/2.40 % (3317304)Instructions burned: 6 (million)
% 12.27/2.40 % (3317307)Refutation not found, incomplete strategy
% 12.27/2.40 % (3317307)------------------------------
% 12.27/2.40 % (3317307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.40 % (3317307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.40 % (3317307)CaDiCaL version: 2.1.3
% 12.27/2.40 % (3317307)Termination reason: Refutation not found, incomplete strategy
% 12.27/2.40 % (3317307)Time elapsed: 0.006 s
% 12.27/2.40 % (3317307)Peak memory usage: 88 MB
% 12.27/2.40 % (3317307)Instructions burned: 8 (million)
% 12.27/2.40 % (3317305)Instruction limit reached!
% 12.27/2.40 % (3317305)------------------------------
% 12.27/2.40 % (3317305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.40 % (3317305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.40 % (3317305)CaDiCaL version: 2.1.3
% 12.27/2.40 % (3317305)Termination reason: Instruction limit
% 12.27/2.40 % (3317305)Termination phase: Saturation
% 12.27/2.40 % (3317305)Time elapsed: 0.065 s
% 12.27/2.40 % (3317305)Peak memory usage: 88 MB
% 12.27/2.40 % (3317305)Instructions burned: 119 (million)
% 12.27/2.40 % (3317306)Instruction limit reached!
% 12.27/2.40 % (3317306)------------------------------
% 12.27/2.40 % (3317306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.40 % (3317306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.40 % (3317306)CaDiCaL version: 2.1.3
% 12.27/2.40 % (3317306)Termination reason: Instruction limit
% 12.27/2.40 % (3317306)Termination phase: Saturation
% 12.27/2.40 % (3317306)Time elapsed: 0.088 s
% 12.27/2.40 % (3317306)Peak memory usage: 89 MB
% 12.27/2.40 % (3317306)Instructions burned: 139 (million)
% 12.27/2.40 % (3317315)lrs+10_1_sil=8000:sp=occurrence:random_seed=1740876726:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.27/2.40 % (3317316)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1584028111:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.27/2.40 % (3317307)------------------------------
% 12.27/2.40 % (3317307)------------------------------
% 12.27/2.40 % (3317304)------------------------------
% 12.27/2.40 % (3317304)------------------------------
% 12.27/2.40 % (3317316)Instruction limit reached!
% 12.27/2.40 % (3317316)------------------------------
% 12.27/2.40 % (3317316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.40 % (3317316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.21 % (3317316)CaDiCaL version: 2.1.3
% 18.08/3.21 % (3317316)Termination reason: Instruction limit
% 18.08/3.21 % (3317316)Termination phase: Saturation
% 18.08/3.21 % (3317316)Time elapsed: 0.070 s
% 18.08/3.21 % (3317316)Peak memory usage: 89 MB
% 18.08/3.21 % (3317316)Instructions burned: 157 (million)
% 18.08/3.21 % (3317315)Instruction limit reached!
% 18.08/3.21 % (3317315)------------------------------
% 18.08/3.21 % (3317315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.21 % (3317315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.21 % (3317315)CaDiCaL version: 2.1.3
% 18.08/3.21 % (3317315)Termination reason: Instruction limit
% 18.08/3.21 % (3317315)Termination phase: Saturation
% 18.08/3.21 % (3317315)Time elapsed: 0.151 s
% 18.08/3.21 % (3317315)Peak memory usage: 90 MB
% 18.08/3.21 % (3317315)Instructions burned: 285 (million)
% 18.08/3.21 % (3317320)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3745483349:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 18.08/3.21 % (3317319)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1239597585:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 18.08/3.21 % (3317320)Instruction limit reached!
% 18.08/3.21 % (3317320)------------------------------
% 18.08/3.21 % (3317320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.21 % (3317320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.21 % (3317320)CaDiCaL version: 2.1.3
% 18.08/3.21 % (3317320)Termination reason: Instruction limit
% 18.08/3.21 % (3317320)Termination phase: Saturation
% 18.08/3.21 % (3317320)Time elapsed: 0.087 s
% 18.08/3.21 % (3317320)Peak memory usage: 91 MB
% 18.08/3.21 % (3317320)Instructions burned: 248 (million)
% 18.08/3.21 % (3317321)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2531763740:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.08/3.21 % (3317321)Refutation not found, incomplete strategy
% 18.08/3.21 % (3317321)------------------------------
% 18.08/3.21 % (3317321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.21 % (3317321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.21 % (3317321)CaDiCaL version: 2.1.3
% 18.08/3.21 % (3317321)Termination reason: Refutation not found, incomplete strategy
% 18.08/3.21 % (3317321)Time elapsed: 0.009 s
% 18.08/3.21 % (3317321)Peak memory usage: 89 MB
% 18.08/3.21 % (3317321)Instructions burned: 12 (million)
% 18.08/3.21 % (3317323)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1323891149:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 18.08/3.21 % (3317326)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1747150978:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 18.08/3.21 % (3317319)Instruction limit reached!
% 18.08/3.21 % (3317319)------------------------------
% 18.08/3.21 % (3317319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.21 % (3317319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.21 % (3317319)CaDiCaL version: 2.1.3
% 18.08/3.21 % (3317319)Termination reason: Instruction limit
% 18.08/3.21 % (3317319)Termination phase: Saturation
% 18.08/3.21 % (3317319)Time elapsed: 0.197 s
% 18.08/3.21 % (3317319)Peak memory usage: 91 MB
% 18.08/3.21 % (3317319)Instructions burned: 326 (million)
% 18.08/3.21 % (3317326)Instruction limit reached!
% 18.08/3.21 % (3317326)------------------------------
% 18.08/3.21 % (3317326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.08/3.21 % (3317326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.08/3.21 % (3317326)CaDiCaL version: 2.1.3
% 18.08/3.21 % (3317326)Termination reason: Instruction limit
% 18.08/3.21 % (3317326)Termination phase: Saturation
% 18.08/3.21 % (3317326)Time elapsed: 0.040 s
% 18.08/3.21 % (3317326)Peak memory usage: 89 MB
% 18.08/3.21 % (3317326)Instructions burned: 116 (million)
% 18.08/3.21 % (3317321)------------------------------
% 18.08/3.21 % (3317321)------------------------------
% 18.08/3.21 % (3317330)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1925736626:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 18.08/3.21 % (3317329)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1876615272:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 18.81/3.34 % (3317330)Instruction limit reached!
% 18.81/3.34 % (3317330)------------------------------
% 18.81/3.34 % (3317330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.81/3.34 % (3317330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.81/3.34 % (3317330)CaDiCaL version: 2.1.3
% 18.81/3.34 % (3317330)Termination reason: Instruction limit
% 18.81/3.34 % (3317330)Termination phase: Saturation
% 18.81/3.34 % (3317330)Time elapsed: 0.034 s
% 18.81/3.34 % (3317330)Peak memory usage: 89 MB
% 18.81/3.34 % (3317330)Instructions burned: 118 (million)
% 18.81/3.34 % (3317329)Instruction limit reached!
% 18.81/3.34 % (3317329)------------------------------
% 18.81/3.34 % (3317329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.81/3.34 % (3317329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.81/3.34 % (3317329)CaDiCaL version: 2.1.3
% 18.81/3.34 % (3317329)Termination reason: Instruction limit
% 18.81/3.34 % (3317329)Termination phase: Saturation
% 18.81/3.34 % (3317329)Time elapsed: 0.057 s
% 18.81/3.34 % (3317329)Peak memory usage: 88 MB
% 18.81/3.34 % (3317329)Instructions burned: 129 (million)
% 18.81/3.34 % (3317331)lrs+10_1_sil=8000:sp=occurrence:random_seed=3274791495:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 18.81/3.34 % (3317334)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3052884157:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 18.81/3.34 % (3317334)Refutation not found, incomplete strategy
% 18.81/3.34 % (3317334)------------------------------
% 18.81/3.34 % (3317334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.81/3.34 % (3317334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.81/3.34 % (3317334)CaDiCaL version: 2.1.3
% 18.81/3.34 % (3317334)Termination reason: Refutation not found, incomplete strategy
% 18.81/3.34 % (3317334)Time elapsed: 0.002 s
% 18.81/3.34 % (3317334)Peak memory usage: 88 MB
% 18.81/3.34 % (3317334)Instructions burned: 4 (million)
% 18.81/3.34 % (3317335)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4184138122:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 18.81/3.34 % (3317334)------------------------------
% 18.81/3.34 % (3317334)------------------------------
% 18.81/3.34 % (3317339)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3999926578:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 18.81/3.34 % (3317339)Instruction limit reached!
% 18.81/3.34 % (3317339)------------------------------
% 18.81/3.34 % (3317339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.81/3.34 % (3317339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.81/3.34 % (3317339)CaDiCaL version: 2.1.3
% 18.81/3.34 % (3317339)Termination reason: Instruction limit
% 18.81/3.34 % (3317339)Termination phase: Saturation
% 18.81/3.34 % (3317339)Time elapsed: 0.080 s
% 18.81/3.34 % (3317339)Peak memory usage: 91 MB
% 18.81/3.34 % (3317339)Instructions burned: 135 (million)
% 18.81/3.34 % (3317331)Instruction limit reached!
% 18.81/3.34 % (3317331)------------------------------
% 18.81/3.34 % (3317331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.81/3.34 % (3317331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.81/3.34 % (3317331)CaDiCaL version: 2.1.3
% 18.81/3.34 % (3317331)Termination reason: Instruction limit
% 18.81/3.34 % (3317331)Termination phase: Saturation
% 18.81/3.34 % (3317331)Time elapsed: 0.478 s
% 18.81/3.34 % (3317331)Peak memory usage: 94 MB
% 18.81/3.34 % (3317331)Instructions burned: 908 (million)
% 18.81/3.34 % (3317341)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1341019855:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 18.81/3.34 % (3317342)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3466144500:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 18.81/3.34 % (3317323)Instruction limit reached!
% 18.81/3.34 % (3317323)------------------------------
% 18.81/3.34 % (3317323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.81/3.34 % (3317323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.81/3.34 % (3317323)CaDiCaL version: 2.1.3
% 18.81/3.34 % (3317323)Termination reason: Instruction limit
% 18.81/3.34 % (3317323)Termination phase: Saturation
% 18.81/3.34 % (3317323)Time elapsed: 1.045 s
% 18.81/3.34 % (3317323)Peak memory usage: 140 MB
% 18.81/3.34 % (3317323)Instructions burned: 2352 (million)
% 18.81/3.34 % (3317345)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1914656748:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 18.81/3.34 % (3317345)Instruction limit reached!
% 18.81/3.34 % (3317345)------------------------------
% 18.81/3.34 % (3317345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.81/3.34 % (3317345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.81/3.34 % (3317345)CaDiCaL version: 2.1.3
% 18.81/3.34 % (3317345)Termination reason: Instruction limit
% 18.81/3.34 % (3317345)Termination phase: Saturation
% 18.81/3.34 % (3317345)Time elapsed: 0.044 s
% 18.81/3.34 % (3317345)Peak memory usage: 91 MB
% 18.81/3.34 % (3317345)Instructions burned: 126 (million)
% 18.81/3.34 % (3317341)Instruction limit reached!
% 18.81/3.34 % (3317341)------------------------------
% 18.81/3.34 % (3317341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.81/3.34 % (3317341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.81/3.34 % (3317341)CaDiCaL version: 2.1.3
% 18.81/3.34 % (3317341)Termination reason: Instruction limit
% 18.81/3.34 % (3317341)Termination phase: Saturation
% 18.81/3.34 % (3317341)Time elapsed: 0.340 s
% 18.81/3.34 % (3317341)Peak memory usage: 94 MB
% 18.81/3.34 % (3317341)Instructions burned: 593 (million)
% 18.81/3.34 % (3317347)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4249603396:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 18.81/3.34 % (3317347)Instruction limit reached!
% 18.81/3.34 % (3317347)------------------------------
% 18.81/3.34 % (3317347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.81/3.34 % (3317347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.81/3.34 % (3317347)CaDiCaL version: 2.1.3
% 18.81/3.34 % (3317347)Termination reason: Instruction limit
% 18.81/3.34 % (3317347)Termination phase: Saturation
% 18.81/3.34 % (3317347)Time elapsed: 0.047 s
% 18.81/3.34 % (3317347)Peak memory usage: 90 MB
% 18.81/3.34 % (3317347)Instructions burned: 135 (million)
% 18.81/3.34 % (3317348)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2287210333:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 18.81/3.34 % (3317348)Refutation not found, incomplete strategy
% 18.81/3.34 % (3317348)------------------------------
% 18.81/3.34 % (3317348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.81/3.34 % (3317348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.81/3.34 % (3317348)CaDiCaL version: 2.1.3
% 18.81/3.34 % (3317348)Termination reason: Refutation not found, incomplete strategy
% 18.81/3.34 % (3317348)Time elapsed: 0.003 s
% 18.81/3.34 % (3317348)Peak memory usage: 88 MB
% 18.81/3.34 % (3317348)Instructions burned: 3 (million)
% 18.81/3.34 % (3317350)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4131041272:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 18.81/3.34 % (3317350)Instruction limit reached!
% 18.81/3.34 % (3317350)------------------------------
% 18.81/3.34 % (3317350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.81/3.34 % (3317350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.81/3.34 % (3317350)CaDiCaL version: 2.1.3
% 18.81/3.34 % (3317350)Termination reason: Instruction limit
% 18.81/3.34 % (3317350)Termination phase: Saturation
% 18.81/3.34 % (3317350)Time elapsed: 0.123 s
% 18.81/3.34 % (3317350)Peak memory usage: 92 MB
% 18.81/3.34 % (3317350)Instructions burned: 433 (million)
% 18.81/3.34 % (3317348)------------------------------
% 18.81/3.34 % (3317348)------------------------------
% 18.81/3.34 % (3317335)First to succeed.
% 18.81/3.34 % (3317335)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3317296"
% 18.81/3.34 % (3317353)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=953109141:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 18.81/3.34 % (3317354)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=501289965:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 18.81/3.34 % (3317354)Instruction limit reached!
% 18.81/3.34 % (3317354)------------------------------
% 18.81/3.34 % (3317354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.81/3.34 % (3317354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.81/3.34 % (3317354)CaDiCaL version: 2.1.3
% 18.81/3.34 % (3317354)Termination reason: Instruction limit
% 18.81/3.34 % (3317354)Termination phase: Saturation
% 18.81/3.34 % (3317354)Time elapsed: 0.075 s
% 18.81/3.34 % (3317354)Peak memory usage: 90 MB
% 18.81/3.34 % (3317354)Instructions burned: 150 (million)
% 18.81/3.34 % (3317335)Refutation found. Thanks to Tanya!
% 18.81/3.34 % SZS status Theorem for theBenchmark
% 18.81/3.34 % SZS output start Proof for theBenchmark
% See solution above
% 19.58/3.54 % (3317335)------------------------------
% 19.58/3.54 % (3317335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.58/3.54 % (3317335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.58/3.54 % (3317335)CaDiCaL version: 2.1.3
% 19.58/3.54 % (3317335)Termination reason: Refutation
% 19.58/3.54 % (3317335)Time elapsed: 1.286 s
% 19.58/3.54 % (3317335)Peak memory usage: 138 MB
% 19.58/3.54 % (3317335)Instructions burned: 2033 (million)
% 19.58/3.54 % (3317335)------------------------------
% 19.58/3.54 % (3317335)------------------------------
% 19.58/3.54 % (3317296)Success in time 2.678 s
% 19.58/3.54 % Vampire exiting
%------------------------------------------------------------------------------