%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU237+1 : 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 : n005.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 12:47:56 PM UTC 2026
% Result : Theorem 19.65s 3.64s
% Output : Refutation 20.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 29
% Syntax : Number of formulae : 238 ( 19 unt; 12 def)
% Number of atoms : 811 ( 84 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 998 ( 425 ~; 450 |; 74 &)
% ( 28 <=>; 19 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 13 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-2 aty)
% Number of variables : 299 ( 0 sgn 278 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f4,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_transitive(X0)
& epsilon_connected(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_ordinal1) ).
fof(f11,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f12,axiom,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_ordinal1) ).
fof(f13,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f14,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f15,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f16,axiom,
! [X0,X1] :
( X1 = union(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X2,X3)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
fof(f17,axiom,
! [X0] :
( being_limit_ordinal(X0)
<=> X0 = union(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_ordinal1) ).
fof(f18,axiom,
! [X0,X1] :
( proper_subset(X0,X1)
<=> ( subset(X0,X1)
& X0 != X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_xboole_0) ).
fof(f33,axiom,
! [X0] :
( ordinal(X0)
=> ( ~ empty(succ(X0))
& epsilon_transitive(succ(X0))
& epsilon_connected(succ(X0))
& ordinal(succ(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_ordinal1) ).
fof(f51,axiom,
! [X0,X1] :
( ( ordinal(X0)
& ordinal(X1) )
=> ( ordinal_subset(X0,X1)
<=> subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).
fof(f54,axiom,
! [X0] : in(X0,succ(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_ordinal1) ).
fof(f57,axiom,
! [X0] :
( epsilon_transitive(X0)
=> ! [X1] :
( ordinal(X1)
=> ( proper_subset(X0,X1)
=> in(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_ordinal1) ).
fof(f58,axiom,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_ordinal1) ).
fof(f61,conjecture,
! [X0] :
( ordinal(X0)
=> ( being_limit_ordinal(X0)
<=> ! [X1] :
( ordinal(X1)
=> ( in(X1,X0)
=> in(succ(X1),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_ordinal1) ).
fof(f62,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> ( being_limit_ordinal(X0)
<=> ! [X1] :
( ordinal(X1)
=> ( in(X1,X0)
=> in(succ(X1),X0) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f61]) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X2,X1) )
=> subset(set_union2(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_xboole_1) ).
fof(f72,plain,
! [X0,X1] :
( ( subset(X0,X1)
& X0 != X1 )
=> proper_subset(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f18]) ).
fof(f81,plain,
? [X0] :
( ( being_limit_ordinal(X0)
<~> ! [X1] :
( in(succ(X1),X0)
| ~ in(X1,X0)
| ~ ordinal(X1) ) )
& ordinal(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f82,plain,
? [X0] :
( ( being_limit_ordinal(X0)
<~> ! [X1] :
( in(succ(X1),X0)
| ~ in(X1,X0)
| ~ ordinal(X1) ) )
& ordinal(X0) ),
inference(flattening,[],[f81]) ).
fof(f89,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f90,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| ~ proper_subset(X0,X1)
| ~ ordinal(X1) )
| ~ epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| ~ proper_subset(X0,X1)
| ~ ordinal(X1) )
| ~ epsilon_transitive(X0) ),
inference(flattening,[],[f91]) ).
fof(f94,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f95,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f96,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f97,plain,
! [X0] :
( ( ~ empty(succ(X0))
& epsilon_transitive(succ(X0))
& epsilon_connected(succ(X0))
& ordinal(succ(X0)) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f100,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f101,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(flattening,[],[f100]) ).
fof(f108,plain,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f109,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f72]) ).
fof(f110,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f109]) ).
fof(f114,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X0,X1)
| ~ subset(X2,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f115,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X0,X1)
| ~ subset(X2,X1) ),
inference(flattening,[],[f114]) ).
fof(f124,plain,
? [X0] :
( ( ? [X1] :
( ~ in(succ(X1),X0)
& in(X1,X0)
& ordinal(X1) )
| ~ being_limit_ordinal(X0) )
& ( ! [X1] :
( in(succ(X1),X0)
| ~ in(X1,X0)
| ~ ordinal(X1) )
| being_limit_ordinal(X0) )
& ordinal(X0) ),
inference(nnf_transformation,[],[f82]) ).
fof(f125,plain,
? [X0] :
( ( ? [X1] :
( ~ in(succ(X1),X0)
& in(X1,X0)
& ordinal(X1) )
| ~ being_limit_ordinal(X0) )
& ( ! [X1] :
( in(succ(X1),X0)
| ~ in(X1,X0)
| ~ ordinal(X1) )
| being_limit_ordinal(X0) )
& ordinal(X0) ),
inference(flattening,[],[f124]) ).
fof(f126,plain,
? [X0] :
( ( ? [X1] :
( ~ in(succ(X1),X0)
& in(X1,X0)
& ordinal(X1) )
| ~ being_limit_ordinal(X0) )
& ( ! [X2] :
( in(succ(X2),X0)
| ~ in(X2,X0)
| ~ ordinal(X2) )
| being_limit_ordinal(X0) )
& ordinal(X0) ),
inference(rectify,[],[f125]) ).
fof(f127,plain,
( ( ( ~ in(succ(sK1),sK0)
& in(sK1,sK0)
& ordinal(sK1) )
| ~ being_limit_ordinal(sK0) )
& ( ! [X2] :
( in(succ(X2),sK0)
| ~ in(X2,sK0)
| ~ ordinal(X2) )
| being_limit_ordinal(sK0) )
& ordinal(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f126]) ).
fof(f128,plain,
! [X0,X1] :
( ( X1 = union(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X2,X3)
| ~ in(X3,X0) )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X2,X3)
& in(X3,X0) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X2,X3)
| ~ in(X3,X0) ) )
& ( ? [X3] :
( in(X2,X3)
& in(X3,X0) )
| ~ in(X2,X1) ) )
| union(X0) != X1 ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f129,plain,
! [X0,X1] :
( ( X1 = union(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X2,X3)
| ~ in(X3,X0) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X2,X4)
& in(X4,X0) )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X5,X6)
| ~ in(X6,X0) ) )
& ( ? [X7] :
( in(X5,X7)
& in(X7,X0) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(rectify,[],[f128]) ).
fof(f130,plain,
! [X0,X1] :
( ( X1 = union(X0)
| ( ( ! [X3] :
( ~ in(sK2(X0,X1),X3)
| ~ in(X3,X0) )
| ~ in(sK2(X0,X1),X1) )
& ( ( in(sK2(X0,X1),sK3(X0,X1))
& in(sK3(X0,X1),X0) )
| in(sK2(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X5,X6)
| ~ in(X6,X0) ) )
& ( ( in(X5,sK4(X0,X5))
& in(sK4(X0,X5),X0) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X2,sK2(X0,X1)),skolemize(X4,sK3(X0,X1)),skolemize(X7,sK4(X0,X5))],[f129]) ).
fof(f131,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f132,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f131]) ).
fof(f133,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK5(X0,X1),X1)
& in(sK5(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f132]) ).
fof(f134,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(nnf_transformation,[],[f95]) ).
fof(f135,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f134]) ).
fof(f136,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ( ~ subset(sK6(X0),X0)
& in(sK6(X0),X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f135]) ).
fof(f137,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f138,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f137]) ).
fof(f139,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ( ( sK7(X0,X1) != X0
| ~ in(sK7(X0,X1),X1) )
& ( sK7(X0,X1) = X0
| in(sK7(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f138]) ).
fof(f140,plain,
! [X0,X1] :
( ( ( ordinal_subset(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ ordinal_subset(X0,X1) ) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(nnf_transformation,[],[f101]) ).
fof(f144,plain,
! [X0] :
( ( being_limit_ordinal(X0)
| union(X0) != X0 )
& ( X0 = union(X0)
| ~ being_limit_ordinal(X0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f149,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f150,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f149]) ).
fof(f158,plain,
ordinal(sK0),
inference(cnf_transformation,[],[f127]) ).
fof(f159,plain,
! [X2] :
( in(succ(X2),sK0)
| ~ in(X2,sK0)
| ~ ordinal(X2)
| being_limit_ordinal(sK0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f160,plain,
( ordinal(sK1)
| ~ being_limit_ordinal(sK0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f161,plain,
( in(sK1,sK0)
| ~ being_limit_ordinal(sK0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f162,plain,
( ~ in(succ(sK1),sK0)
| ~ being_limit_ordinal(sK0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f167,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f168,plain,
! [X0,X1] :
( ~ proper_subset(X0,X1)
| in(X0,X1)
| ~ ordinal(X1)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f170,plain,
! [X0] : in(X0,succ(X0)),
inference(cnf_transformation,[],[f54]) ).
fof(f171,plain,
! [X0,X1,X5] :
( in(sK4(X0,X5),X0)
| ~ in(X5,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f130]) ).
fof(f172,plain,
! [X0,X1,X5] :
( in(X5,sK4(X0,X5))
| ~ in(X5,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f130]) ).
fof(f173,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(X5,X6)
| ~ in(X6,X0)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f130]) ).
fof(f174,plain,
! [X0,X1] :
( in(sK3(X0,X1),X0)
| union(X0) = X1
| in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f175,plain,
! [X0,X1] :
( in(sK2(X0,X1),sK3(X0,X1))
| union(X0) = X1
| in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f176,plain,
! [X3,X0,X1] :
( ~ in(sK2(X0,X1),X3)
| union(X0) = X1
| ~ in(X3,X0)
| ~ in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f177,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f178,plain,
! [X0,X1] :
( in(sK5(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f179,plain,
! [X0,X1] :
( ~ in(sK5(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f180,plain,
! [X2,X0] :
( subset(X2,X0)
| ~ in(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f183,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f139]) ).
fof(f187,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f190,plain,
! [X0] :
( epsilon_transitive(succ(X0))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f193,plain,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f195,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ ordinal_subset(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f196,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ordinal_subset(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f225,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f226,plain,
! [X0] :
( union(X0) = X0
| ~ being_limit_ordinal(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f227,plain,
! [X0] :
( union(X0) != X0
| being_limit_ordinal(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f234,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| proper_subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f110]) ).
fof(f242,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f150]) ).
fof(f244,plain,
! [X2,X0,X1] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X0,X1)
| ~ subset(X2,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f272,plain,
( ~ in(set_union2(sK1,singleton(sK1)),sK0)
| ~ being_limit_ordinal(sK0) ),
inference(definition_unfolding,[],[f162,f193]) ).
fof(f273,plain,
! [X2] :
( in(set_union2(X2,singleton(X2)),sK0)
| ~ in(X2,sK0)
| ~ ordinal(X2)
| being_limit_ordinal(sK0) ),
inference(definition_unfolding,[],[f159,f193]) ).
fof(f274,plain,
! [X0] : in(X0,set_union2(X0,singleton(X0))),
inference(definition_unfolding,[],[f170,f193]) ).
fof(f276,plain,
! [X0] :
( epsilon_transitive(set_union2(X0,singleton(X0)))
| ~ ordinal(X0) ),
inference(definition_unfolding,[],[f190,f193]) ).
fof(f280,plain,
! [X0,X6,X5] :
( in(X5,union(X0))
| ~ in(X5,X6)
| ~ in(X6,X0) ),
inference(equality_resolution,[],[f173]) ).
fof(f281,plain,
! [X0,X5] :
( in(X5,sK4(X0,X5))
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f172]) ).
fof(f282,plain,
! [X0,X5] :
( in(sK4(X0,X5),X0)
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f171]) ).
fof(f285,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f183]) ).
fof(f296,definition,
( spl21_3
<=> being_limit_ordinal(sK0) ),
introduced(definition,[new_symbols(definition,[spl21_3])],[avatar_definition]) ).
fof(f297,plain,
( ~ being_limit_ordinal(sK0)
| spl21_3 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f298,plain,
( being_limit_ordinal(sK0)
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f300,definition,
( spl21_4
<=> ! [X2] :
( in(set_union2(X2,singleton(X2)),sK0)
| ~ ordinal(X2)
| ~ in(X2,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl21_4])],[avatar_definition]) ).
fof(f301,plain,
( ! [X2] :
( in(set_union2(X2,singleton(X2)),sK0)
| ~ ordinal(X2)
| ~ in(X2,sK0) )
| ~ spl21_4 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f302,plain,
( spl21_3
| spl21_4 ),
inference(avatar_split_clause,[],[f273,f300,f296]) ).
fof(f304,definition,
( spl21_5
<=> ordinal(sK1) ),
introduced(definition,[new_symbols(definition,[spl21_5])],[avatar_definition]) ).
fof(f306,plain,
( ordinal(sK1)
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f307,plain,
( ~ spl21_3
| spl21_5 ),
inference(avatar_split_clause,[],[f160,f304,f296]) ).
fof(f309,definition,
( spl21_6
<=> in(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl21_6])],[avatar_definition]) ).
fof(f311,plain,
( in(sK1,sK0)
| ~ spl21_6 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f312,plain,
( ~ spl21_3
| spl21_6 ),
inference(avatar_split_clause,[],[f161,f309,f296]) ).
fof(f314,definition,
( spl21_7
<=> in(set_union2(sK1,singleton(sK1)),sK0) ),
introduced(definition,[new_symbols(definition,[spl21_7])],[avatar_definition]) ).
fof(f316,plain,
( ~ in(set_union2(sK1,singleton(sK1)),sK0)
| spl21_7 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f317,plain,
( ~ spl21_3
| ~ spl21_7 ),
inference(avatar_split_clause,[],[f272,f314,f296]) ).
fof(f318,plain,
! [X2,X0,X1] :
( ~ in(sK5(X0,union(X1)),X2)
| ~ in(X2,X1)
| subset(X0,union(X1)) ),
inference(resolution,[],[f280,f179]) ).
fof(f331,plain,
! [X0,X1] :
( sK5(singleton(X0),X1) = X0
| subset(singleton(X0),X1) ),
inference(resolution,[],[f178,f285]) ).
fof(f334,plain,
! [X2,X0,X1] :
( ~ ordinal_subset(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1)
| ~ in(X2,X0)
| in(X2,X1) ),
inference(resolution,[],[f195,f177]) ).
fof(f346,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| X0 = X1
| ~ ordinal_subset(X1,X0)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(resolution,[],[f242,f195]) ).
fof(f364,plain,
! [X0,X1] :
( ~ in(X0,X1)
| subset(X0,union(X1))
| subset(X0,union(X1)) ),
inference(resolution,[],[f318,f178]) ).
fof(f370,plain,
! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(duplicate_literal_removal,[],[f364]) ).
fof(f376,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ epsilon_transitive(X1)
| ordinal_subset(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(resolution,[],[f180,f196]) ).
fof(f378,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ epsilon_transitive(X1)
| ordinal_subset(X0,X1)
| ~ ordinal(X1) ),
inference(forward_subsumption_resolution,[],[f376,f167]) ).
fof(f379,plain,
! [X0,X1] :
( ordinal_subset(X0,X1)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(forward_subsumption_resolution,[],[f378,f225]) ).
fof(f381,plain,
! [X2,X0,X1] :
( ~ ordinal(X0)
| ~ ordinal(X1)
| ~ in(X2,X0)
| in(X2,X1)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(resolution,[],[f334,f379]) ).
fof(f382,plain,
! [X2,X0,X1] :
( ~ ordinal(X0)
| ~ ordinal(X1)
| ~ in(X2,X0)
| in(X2,X1)
| ~ in(X0,X1) ),
inference(duplicate_literal_removal,[],[f381]) ).
fof(f384,plain,
! [X2,X0,X1] :
( in(X2,X1)
| ~ in(X2,X0)
| ~ ordinal(X1)
| ~ in(X0,X1) ),
inference(forward_subsumption_resolution,[],[f382,f167]) ).
fof(f397,plain,
! [X0,X1] :
( ~ in(X0,X1)
| subset(singleton(X0),X1)
| subset(singleton(X0),X1) ),
inference(superposition,[],[f179,f331]) ).
fof(f400,plain,
! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(duplicate_literal_removal,[],[f397]) ).
fof(f421,plain,
! [X2,X0,X1] :
( proper_subset(set_union2(X0,X1),X2)
| set_union2(X0,X1) = X2
| ~ subset(X0,X2)
| ~ subset(X1,X2) ),
inference(resolution,[],[f234,f244]) ).
fof(f423,plain,
! [X2,X0,X1] :
( ~ in(sK5(X0,X1),X2)
| ~ ordinal(X1)
| ~ in(X2,X1)
| subset(X0,X1) ),
inference(resolution,[],[f384,f179]) ).
fof(f425,plain,
! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ ordinal(X2)
| ~ in(X1,X2)
| ordinal(X0)
| ~ ordinal(X2) ),
inference(resolution,[],[f384,f167]) ).
fof(f433,plain,
! [X2,X0,X1] :
( ~ in(X1,X2)
| ~ ordinal(X2)
| ~ in(X0,X1)
| ordinal(X0) ),
inference(duplicate_literal_removal,[],[f425]) ).
fof(f475,plain,
! [X2,X0,X1] :
( in(set_union2(X0,X1),X2)
| ~ subset(X0,X2)
| ~ subset(X1,X2)
| set_union2(X0,X1) = X2
| ~ ordinal(X2)
| ~ epsilon_transitive(set_union2(X0,X1)) ),
inference(resolution,[],[f421,f168]) ).
fof(f483,plain,
! [X0,X1] :
( X0 = X1
| ~ ordinal_subset(X1,X0)
| ~ ordinal(X1)
| ~ ordinal(X0)
| ~ in(X0,X1)
| ~ epsilon_transitive(X1) ),
inference(resolution,[],[f346,f180]) ).
fof(f490,plain,
! [X0,X1] :
( X0 = X1
| ~ ordinal_subset(X1,X0)
| ~ ordinal(X1)
| ~ in(X0,X1)
| ~ epsilon_transitive(X1) ),
inference(forward_subsumption_resolution,[],[f483,f167]) ).
fof(f491,plain,
! [X0,X1] :
( ~ ordinal_subset(X1,X0)
| X0 = X1
| ~ ordinal(X1)
| ~ in(X0,X1) ),
inference(forward_subsumption_resolution,[],[f490,f225]) ).
fof(f545,plain,
! [X0,X1] :
( ~ in(set_union2(sK2(X0,X1),singleton(sK2(X0,X1))),X0)
| union(X0) = X1
| ~ in(sK2(X0,X1),X1) ),
inference(resolution,[],[f176,f274]) ).
fof(f570,definition,
( spl21_8
<=> sK0 = union(sK0) ),
introduced(definition,[new_symbols(definition,[spl21_8])],[avatar_definition]) ).
fof(f571,plain,
( sK0 != union(sK0)
| spl21_8 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f572,plain,
( sK0 = union(sK0)
| ~ spl21_8 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f578,definition,
( spl21_10
<=> in(sK2(sK0,sK0),sK0) ),
introduced(definition,[new_symbols(definition,[spl21_10])],[avatar_definition]) ).
fof(f580,plain,
( ~ in(sK2(sK0,sK0),sK0)
| spl21_10 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f617,plain,
! [X0,X1] :
( ~ ordinal(X0)
| ~ in(X1,X0)
| subset(X1,X0)
| subset(X1,X0) ),
inference(resolution,[],[f423,f178]) ).
fof(f624,plain,
! [X2,X0,X1] :
( ~ in(sK4(X1,sK5(X2,X0)),X0)
| ~ ordinal(X0)
| subset(X2,X0)
| ~ in(sK5(X2,X0),union(X1)) ),
inference(resolution,[],[f423,f281]) ).
fof(f627,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ in(X1,X0)
| ~ ordinal(X0) ),
inference(duplicate_literal_removal,[],[f617]) ).
fof(f629,plain,
! [X0,X1] :
( ~ ordinal(X0)
| subset(X1,X0)
| ~ in(sK5(X1,X0),union(X0))
| ~ in(sK5(X1,X0),union(X0)) ),
inference(resolution,[],[f624,f282]) ).
fof(f639,plain,
! [X0,X1] :
( ~ in(sK5(X1,X0),union(X0))
| subset(X1,X0)
| ~ ordinal(X0) ),
inference(duplicate_literal_removal,[],[f629]) ).
fof(f696,plain,
( ! [X0,X1] :
( ~ ordinal(sK0)
| ~ in(X0,set_union2(X1,singleton(X1)))
| ordinal(X0)
| ~ ordinal(X1)
| ~ in(X1,sK0) )
| ~ spl21_4 ),
inference(resolution,[],[f433,f301]) ).
fof(f702,plain,
( ! [X0,X1] :
( ~ ordinal(sK0)
| ~ in(X0,set_union2(X1,singleton(X1)))
| ordinal(X0)
| ~ in(X1,sK0) )
| ~ spl21_4 ),
inference(forward_subsumption_resolution,[],[f696,f167]) ).
fof(f703,plain,
( ! [X0,X1] :
( ~ in(X0,set_union2(X1,singleton(X1)))
| ordinal(X0)
| ~ in(X1,sK0) )
| ~ spl21_4 ),
inference(forward_subsumption_resolution,[],[f702,f158]) ).
fof(f704,plain,
( ! [X0] :
( ~ in(X0,sK0)
| ordinal(X0) )
| ~ spl21_4 ),
inference(resolution,[],[f703,f274]) ).
fof(f772,plain,
( ! [X0] :
( ~ ordinal(sK2(sK0,X0))
| ~ in(sK2(sK0,X0),sK0)
| union(sK0) = X0
| ~ in(sK2(sK0,X0),X0) )
| ~ spl21_4 ),
inference(resolution,[],[f301,f545]) ).
fof(f777,plain,
( ! [X0] :
( ~ in(sK2(sK0,X0),sK0)
| union(sK0) = X0
| ~ in(sK2(sK0,X0),X0) )
| ~ spl21_4 ),
inference(forward_subsumption_resolution,[],[f772,f704]) ).
fof(f788,plain,
( ~ in(sK2(sK0,sK0),sK0)
| sK0 = union(sK0)
| ~ spl21_4 ),
inference(factoring,[],[f777]) ).
fof(f789,plain,
( spl21_8
| ~ spl21_10
| ~ spl21_4 ),
inference(avatar_split_clause,[],[f788,f300,f578,f570]) ).
fof(f808,plain,
( ! [X0] :
( ~ in(sK2(sK0,sK0),X0)
| ~ ordinal(sK0)
| ~ in(X0,sK0) )
| spl21_10 ),
inference(resolution,[],[f580,f384]) ).
fof(f809,plain,
( ! [X0] :
( ~ in(sK2(sK0,sK0),X0)
| ~ in(X0,sK0) )
| spl21_10 ),
inference(forward_subsumption_resolution,[],[f808,f158]) ).
fof(f875,definition,
( spl21_22
<=> epsilon_transitive(set_union2(sK1,singleton(sK1))) ),
introduced(definition,[new_symbols(definition,[spl21_22])],[avatar_definition]) ).
fof(f876,plain,
( ~ epsilon_transitive(set_union2(sK1,singleton(sK1)))
| spl21_22 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f1104,plain,
( ~ subset(sK1,sK0)
| ~ subset(singleton(sK1),sK0)
| sK0 = set_union2(sK1,singleton(sK1))
| ~ ordinal(sK0)
| ~ epsilon_transitive(set_union2(sK1,singleton(sK1)))
| spl21_7 ),
inference(resolution,[],[f475,f316]) ).
fof(f1133,plain,
( ~ subset(sK1,sK0)
| ~ subset(singleton(sK1),sK0)
| sK0 = set_union2(sK1,singleton(sK1))
| ~ epsilon_transitive(set_union2(sK1,singleton(sK1)))
| spl21_7 ),
inference(forward_subsumption_resolution,[],[f1104,f158]) ).
fof(f1144,definition,
( spl21_28
<=> subset(sK1,union(sK0)) ),
introduced(definition,[new_symbols(definition,[spl21_28])],[avatar_definition]) ).
fof(f1145,plain,
( subset(sK1,union(sK0))
| ~ spl21_28 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f1146,plain,
( ~ subset(sK1,union(sK0))
| spl21_28 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f1161,definition,
( spl21_32
<=> subset(singleton(sK1),sK0) ),
introduced(definition,[new_symbols(definition,[spl21_32])],[avatar_definition]) ).
fof(f1163,plain,
( ~ subset(singleton(sK1),sK0)
| spl21_32 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1166,definition,
( spl21_33
<=> sK0 = set_union2(sK1,singleton(sK1)) ),
introduced(definition,[new_symbols(definition,[spl21_33])],[avatar_definition]) ).
fof(f1168,plain,
( sK0 = set_union2(sK1,singleton(sK1))
| ~ spl21_33 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f1170,definition,
( spl21_34
<=> subset(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl21_34])],[avatar_definition]) ).
fof(f1173,plain,
( ~ spl21_22
| spl21_33
| ~ spl21_32
| ~ spl21_34
| spl21_7 ),
inference(avatar_split_clause,[],[f1133,f314,f1170,f1161,f1166,f875]) ).
fof(f1178,plain,
( ~ in(sK1,sK0)
| spl21_32 ),
inference(resolution,[],[f1163,f400]) ).
fof(f1192,plain,
( ~ ordinal(sK1)
| spl21_22 ),
inference(resolution,[],[f876,f276]) ).
fof(f1194,plain,
( $false
| ~ spl21_5
| spl21_22 ),
inference(forward_subsumption_resolution,[],[f1192,f306]) ).
fof(f1195,plain,
( ~ spl21_5
| spl21_22 ),
inference(avatar_contradiction_clause,[],[f1194]) ).
fof(f1198,plain,
( $false
| ~ spl21_6
| spl21_32 ),
inference(forward_subsumption_resolution,[],[f1178,f311]) ).
fof(f1199,plain,
( ~ spl21_6
| spl21_32 ),
inference(avatar_contradiction_clause,[],[f1198]) ).
fof(f1253,plain,
( ~ in(sK1,sK0)
| spl21_28 ),
inference(resolution,[],[f1146,f370]) ).
fof(f1261,plain,
( $false
| ~ spl21_6
| spl21_28 ),
inference(forward_subsumption_resolution,[],[f1253,f311]) ).
fof(f1262,plain,
( ~ spl21_6
| spl21_28 ),
inference(avatar_contradiction_clause,[],[f1261]) ).
fof(f1268,plain,
( ! [X0] :
( in(X0,union(sK0))
| ~ in(X0,sK1) )
| ~ spl21_28 ),
inference(resolution,[],[f1145,f177]) ).
fof(f1532,plain,
( ! [X0] :
( ~ in(sK5(X0,sK0),sK1)
| subset(X0,sK0)
| ~ ordinal(sK0) )
| ~ spl21_28 ),
inference(resolution,[],[f1268,f639]) ).
fof(f1538,plain,
( ! [X0] :
( ~ in(sK5(X0,sK0),sK1)
| subset(X0,sK0) )
| ~ spl21_28 ),
inference(forward_subsumption_resolution,[],[f1532,f158]) ).
fof(f1555,plain,
( subset(sK1,sK0)
| subset(sK1,sK0)
| ~ spl21_28 ),
inference(resolution,[],[f1538,f178]) ).
fof(f1563,plain,
( subset(sK1,sK0)
| ~ spl21_28 ),
inference(duplicate_literal_removal,[],[f1555]) ).
fof(f1566,plain,
( spl21_34
| ~ spl21_28 ),
inference(avatar_split_clause,[],[f1563,f1144,f1170]) ).
fof(f2492,plain,
( sK0 != sK0
| being_limit_ordinal(sK0)
| ~ spl21_8 ),
inference(superposition,[],[f227,f572]) ).
fof(f2508,plain,
( being_limit_ordinal(sK0)
| ~ spl21_8 ),
inference(trivial_inequality_removal,[],[f2492]) ).
fof(f2509,plain,
( $false
| spl21_3
| ~ spl21_8 ),
inference(forward_subsumption_resolution,[],[f2508,f297]) ).
fof(f2510,plain,
( spl21_3
| ~ spl21_8 ),
inference(avatar_contradiction_clause,[],[f2509]) ).
fof(f2539,plain,
( ! [X0] :
( ~ subset(singleton(sK1),X0)
| ~ subset(sK1,X0)
| subset(sK0,X0) )
| ~ spl21_33 ),
inference(superposition,[],[f244,f1168]) ).
fof(f2716,plain,
( sK0 != sK0
| ~ being_limit_ordinal(sK0)
| spl21_8 ),
inference(superposition,[],[f571,f226]) ).
fof(f2717,plain,
( ~ being_limit_ordinal(sK0)
| spl21_8 ),
inference(trivial_inequality_removal,[],[f2716]) ).
fof(f2758,plain,
( ! [X0] :
( subset(sK0,X0)
| ~ subset(sK1,X0)
| ~ in(sK1,X0) )
| ~ spl21_33 ),
inference(resolution,[],[f2539,f400]) ).
fof(f3268,plain,
( $false
| ~ spl21_3
| spl21_8 ),
inference(forward_subsumption_resolution,[],[f2717,f298]) ).
fof(f3269,plain,
( ~ spl21_3
| spl21_8 ),
inference(avatar_contradiction_clause,[],[f3268]) ).
fof(f3449,plain,
( ! [X0] :
( ~ subset(sK1,X0)
| ~ in(sK1,X0)
| ordinal_subset(sK0,X0)
| ~ ordinal(sK0)
| ~ ordinal(X0) )
| ~ spl21_33 ),
inference(resolution,[],[f2758,f196]) ).
fof(f3453,plain,
( ! [X0] :
( ~ in(sK1,X0)
| ordinal_subset(sK0,X0)
| ~ ordinal(sK0)
| ~ ordinal(X0) )
| ~ spl21_33 ),
inference(forward_subsumption_resolution,[],[f3449,f627]) ).
fof(f3455,plain,
( ! [X0] :
( ordinal_subset(sK0,X0)
| ~ in(sK1,X0)
| ~ ordinal(X0) )
| ~ spl21_33 ),
inference(forward_subsumption_resolution,[],[f3453,f158]) ).
fof(f3461,plain,
( ! [X0] :
( ~ in(sK1,X0)
| ~ ordinal(X0)
| sK0 = X0
| ~ ordinal(sK0)
| ~ in(X0,sK0) )
| ~ spl21_33 ),
inference(resolution,[],[f3455,f491]) ).
fof(f3470,plain,
( ! [X0] :
( ~ in(sK1,X0)
| sK0 = X0
| ~ ordinal(sK0)
| ~ in(X0,sK0) )
| ~ spl21_33 ),
inference(forward_subsumption_resolution,[],[f3461,f167]) ).
fof(f3666,plain,
( ! [X0] :
( ~ in(sK1,X0)
| sK0 = X0
| ~ in(X0,sK0) )
| ~ spl21_33 ),
inference(forward_subsumption_resolution,[],[f3470,f158]) ).
fof(f5155,plain,
! [X0] : ~ in(X0,X0),
inference(factoring,[],[f187]) ).
fof(f6097,plain,
( sK0 = union(sK0)
| in(sK2(sK0,sK0),sK0)
| ~ in(sK3(sK0,sK0),sK0)
| spl21_10 ),
inference(resolution,[],[f175,f809]) ).
fof(f8378,plain,
( ! [X0] :
( ~ in(sK4(X0,sK1),sK0)
| sK0 = sK4(X0,sK1)
| ~ in(sK1,union(X0)) )
| ~ spl21_33 ),
inference(resolution,[],[f3666,f281]) ).
fof(f8382,plain,
( sK0 = sK4(sK0,sK1)
| ~ in(sK1,union(sK0))
| ~ in(sK1,union(sK0))
| ~ spl21_33 ),
inference(resolution,[],[f8378,f282]) ).
fof(f8400,plain,
( sK0 = sK4(sK0,sK1)
| ~ in(sK1,union(sK0))
| ~ spl21_33 ),
inference(duplicate_literal_removal,[],[f8382]) ).
fof(f8413,plain,
( ~ in(sK1,sK0)
| sK0 = sK4(sK0,sK1)
| ~ spl21_8
| ~ spl21_33 ),
inference(forward_demodulation,[],[f8400,f572]) ).
fof(f8414,plain,
( sK0 = sK4(sK0,sK1)
| ~ spl21_6
| ~ spl21_8
| ~ spl21_33 ),
inference(forward_subsumption_resolution,[],[f8413,f311]) ).
fof(f8421,plain,
( in(sK0,sK0)
| ~ in(sK1,union(sK0))
| ~ spl21_6
| ~ spl21_8
| ~ spl21_33 ),
inference(superposition,[],[f282,f8414]) ).
fof(f8423,plain,
( ~ in(sK1,union(sK0))
| ~ spl21_6
| ~ spl21_8
| ~ spl21_33 ),
inference(forward_subsumption_resolution,[],[f8421,f5155]) ).
fof(f8424,plain,
( ~ in(sK1,sK0)
| ~ spl21_6
| ~ spl21_8
| ~ spl21_33 ),
inference(forward_demodulation,[],[f8423,f572]) ).
fof(f8425,plain,
( $false
| ~ spl21_6
| ~ spl21_8
| ~ spl21_33 ),
inference(forward_subsumption_resolution,[],[f8424,f311]) ).
fof(f8426,plain,
( ~ spl21_6
| ~ spl21_8
| ~ spl21_33 ),
inference(avatar_contradiction_clause,[],[f8425]) ).
fof(f8498,plain,
( sK0 = union(sK0)
| in(sK2(sK0,sK0),sK0)
| spl21_10 ),
inference(forward_subsumption_resolution,[],[f6097,f174]) ).
fof(f8566,plain,
( in(sK2(sK0,sK0),sK0)
| spl21_8
| spl21_10 ),
inference(forward_subsumption_resolution,[],[f8498,f571]) ).
fof(f8606,plain,
( $false
| spl21_8
| spl21_10 ),
inference(forward_subsumption_resolution,[],[f8566,f580]) ).
fof(f8607,plain,
( spl21_8
| spl21_10 ),
inference(avatar_contradiction_clause,[],[f8606]) ).
cnf(s2,plain,
( spl21_3
| spl21_4 ),
inference(sat_conversion,[],[f302]) ).
cnf(s3,plain,
( ~ spl21_3
| spl21_5 ),
inference(sat_conversion,[],[f307]) ).
cnf(s4,plain,
( ~ spl21_3
| spl21_6 ),
inference(sat_conversion,[],[f312]) ).
cnf(s5,plain,
( ~ spl21_3
| ~ spl21_7 ),
inference(sat_conversion,[],[f317]) ).
cnf(s13,plain,
( ~ spl21_4
| spl21_8
| ~ spl21_10 ),
inference(sat_conversion,[],[f789]) ).
cnf(s27,plain,
( spl21_7
| ~ spl21_22
| ~ spl21_32
| spl21_33
| ~ spl21_34 ),
inference(sat_conversion,[],[f1173]) ).
cnf(s30,plain,
( ~ spl21_5
| spl21_22 ),
inference(sat_conversion,[],[f1195]) ).
cnf(s31,plain,
( ~ spl21_6
| spl21_32 ),
inference(sat_conversion,[],[f1199]) ).
cnf(s34,plain,
( ~ spl21_6
| spl21_28 ),
inference(sat_conversion,[],[f1262]) ).
cnf(s49,plain,
( ~ spl21_28
| spl21_34 ),
inference(sat_conversion,[],[f1566]) ).
cnf(s118,plain,
( spl21_3
| ~ spl21_8 ),
inference(sat_conversion,[],[f2510]) ).
cnf(s186,plain,
( ~ spl21_3
| spl21_8 ),
inference(sat_conversion,[],[f3269]) ).
cnf(s369,plain,
( ~ spl21_6
| ~ spl21_8
| ~ spl21_33 ),
inference(sat_conversion,[],[f8426]) ).
cnf(s385,plain,
( spl21_8
| spl21_10 ),
inference(sat_conversion,[],[f8607]) ).
cnf(s393,plain,
spl21_3,
inference(rat,[],[s13,s385,s2,s118]) ).
cnf(s394,plain,
spl21_8,
inference(rat,[],[s186,s393]) ).
cnf(s396,plain,
~ spl21_7,
inference(rat,[],[s5,s393]) ).
cnf(s397,plain,
spl21_6,
inference(rat,[],[s4,s393]) ).
cnf(s398,plain,
spl21_5,
inference(rat,[],[s3,s393]) ).
cnf(s401,plain,
~ spl21_33,
inference(rat,[],[s369,s394,s397]) ).
cnf(s406,plain,
spl21_28,
inference(rat,[],[s34,s397]) ).
cnf(s407,plain,
spl21_32,
inference(rat,[],[s31,s397]) ).
cnf(s411,plain,
spl21_22,
inference(rat,[],[s30,s398]) ).
cnf(s413,plain,
spl21_34,
inference(rat,[],[s49,s406]) ).
cnf(s414,plain,
$false,
inference(rat,[],[s27,s413,s401,s396,s407,s411]) ).
fof(f8652,plain,
$false,
inference(avatar_sat_refutation,[],[s414]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU237+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 04:15:17 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 13.61/2.82 % (427572)Detected formulas, will run a generic FOF schedule.
% 13.61/2.82 % (427579)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=4093570170:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.61/2.82 % (427580)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=36982615:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.61/2.82 % (427583)dis-21_1_sil=8000:lcm=predicate:random_seed=1210409664: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)
% 13.61/2.82 % (427577)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=2142217819:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.61/2.82 % (427582)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1617893778:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.61/2.82 % (427578)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=623641282:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.61/2.82 % (427580)Refutation not found, incomplete strategy
% 13.61/2.82 % (427580)------------------------------
% 13.61/2.82 % (427580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.61/2.82 % (427580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.82 % (427580)CaDiCaL version: 2.1.3
% 13.61/2.82 % (427580)Termination reason: Refutation not found, incomplete strategy
% 13.61/2.82 % (427580)Time elapsed: 0.002 s
% 13.61/2.82 % (427580)Peak memory usage: 88 MB
% 13.61/2.82 % (427580)Instructions burned: 1 (million)
% 13.61/2.82 % (427581)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3562687483:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.61/2.82 % (427583)Instruction limit reached!
% 13.61/2.82 % (427583)------------------------------
% 13.61/2.82 % (427583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.61/2.82 % (427583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.82 % (427583)CaDiCaL version: 2.1.3
% 13.61/2.82 % (427583)Termination reason: Instruction limit
% 13.61/2.82 % (427583)Termination phase: Saturation
% 13.61/2.82 % (427583)Time elapsed: 0.061 s
% 13.61/2.82 % (427583)Peak memory usage: 90 MB
% 13.61/2.82 % (427583)Instructions burned: 129 (million)
% 13.61/2.82 % (427581)Instruction limit reached!
% 13.61/2.82 % (427581)------------------------------
% 13.61/2.82 % (427581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.61/2.82 % (427581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.82 % (427581)CaDiCaL version: 2.1.3
% 13.61/2.82 % (427581)Termination reason: Instruction limit
% 13.61/2.82 % (427581)Termination phase: Saturation
% 13.61/2.82 % (427581)Time elapsed: 0.075 s
% 13.61/2.82 % (427581)Peak memory usage: 88 MB
% 13.61/2.82 % (427581)Instructions burned: 120 (million)
% 13.61/2.82 % (427582)Instruction limit reached!
% 13.61/2.82 % (427582)------------------------------
% 13.61/2.82 % (427582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.61/2.82 % (427582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.82 % (427582)CaDiCaL version: 2.1.3
% 13.61/2.82 % (427582)Termination reason: Instruction limit
% 13.61/2.82 % (427582)Termination phase: Saturation
% 13.61/2.82 % (427582)Time elapsed: 0.097 s
% 13.61/2.82 % (427582)Peak memory usage: 90 MB
% 13.61/2.82 % (427582)Instructions burned: 140 (million)
% 13.61/2.82 % (427591)lrs+10_1_sil=8000:sp=occurrence:random_seed=1767732825:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.61/2.82 % (427592)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4160338296:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.61/2.82 % (427593)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3668184697:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.61/2.82 % (427580)------------------------------
% 13.61/2.82 % (427580)------------------------------
% 13.61/2.82 % (427592)Instruction limit reached!
% 13.61/2.82 % (427592)------------------------------
% 13.61/2.82 % (427592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.61/2.82 % (427592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/3.63 % (427592)CaDiCaL version: 2.1.3
% 19.65/3.63 % (427592)Termination reason: Instruction limit
% 19.65/3.63 % (427592)Termination phase: Saturation
% 19.65/3.63 % (427592)Time elapsed: 0.067 s
% 19.65/3.63 % (427592)Peak memory usage: 96 MB
% 19.65/3.63 % (427592)Instructions burned: 159 (million)
% 19.65/3.63 % (427591)Instruction limit reached!
% 19.65/3.63 % (427591)------------------------------
% 19.65/3.63 % (427591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/3.63 % (427591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/3.63 % (427591)CaDiCaL version: 2.1.3
% 19.65/3.63 % (427591)Termination reason: Instruction limit
% 19.65/3.63 % (427591)Termination phase: Saturation
% 19.65/3.63 % (427591)Time elapsed: 0.183 s
% 19.65/3.63 % (427591)Peak memory usage: 91 MB
% 19.65/3.63 % (427591)Instructions burned: 286 (million)
% 19.65/3.63 % (427597)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=4123461739:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 19.65/3.63 % (427598)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3978561351:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 19.65/3.63 % (427598)Refutation not found, incomplete strategy
% 19.65/3.63 % (427598)------------------------------
% 19.65/3.63 % (427598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/3.63 % (427598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/3.63 % (427598)CaDiCaL version: 2.1.3
% 19.65/3.63 % (427598)Termination reason: Refutation not found, incomplete strategy
% 19.65/3.63 % (427598)Time elapsed: 0.004 s
% 19.65/3.63 % (427598)Peak memory usage: 89 MB
% 19.65/3.63 % (427598)Instructions burned: 4 (million)
% 19.65/3.63 % (427593)Instruction limit reached!
% 19.65/3.63 % (427593)------------------------------
% 19.65/3.63 % (427593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/3.63 % (427593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/3.63 % (427593)CaDiCaL version: 2.1.3
% 19.65/3.63 % (427593)Termination reason: Instruction limit
% 19.65/3.63 % (427593)Termination phase: Saturation
% 19.65/3.63 % (427593)Time elapsed: 0.204 s
% 19.65/3.63 % (427593)Peak memory usage: 91 MB
% 19.65/3.63 % (427593)Instructions burned: 325 (million)
% 19.65/3.63 % (427599)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1937631667:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 19.65/3.63 % (427597)Instruction limit reached!
% 19.65/3.63 % (427597)------------------------------
% 19.65/3.63 % (427597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/3.63 % (427597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/3.63 % (427597)CaDiCaL version: 2.1.3
% 19.65/3.63 % (427597)Termination reason: Instruction limit
% 19.65/3.63 % (427597)Termination phase: Saturation
% 19.65/3.63 % (427597)Time elapsed: 0.145 s
% 19.65/3.63 % (427597)Peak memory usage: 92 MB
% 19.65/3.63 % (427597)Instructions burned: 248 (million)
% 19.65/3.63 % (427602)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2439149416:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 19.65/3.63 % (427602)Instruction limit reached!
% 19.65/3.63 % (427602)------------------------------
% 19.65/3.63 % (427602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/3.63 % (427602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/3.63 % (427602)CaDiCaL version: 2.1.3
% 19.65/3.63 % (427602)Termination reason: Instruction limit
% 19.65/3.63 % (427602)Termination phase: Saturation
% 19.65/3.63 % (427602)Time elapsed: 0.079 s
% 19.65/3.63 % (427602)Peak memory usage: 90 MB
% 19.65/3.63 % (427602)Instructions burned: 113 (million)
% 19.65/3.63 % (427598)------------------------------
% 19.65/3.63 % (427598)------------------------------
% 19.65/3.63 % (427604)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2387825129:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 19.65/3.63 % (427604)Instruction limit reached!
% 19.65/3.63 % (427604)------------------------------
% 19.65/3.63 % (427604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/3.63 % (427604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/3.63 % (427604)CaDiCaL version: 2.1.3
% 19.65/3.63 % (427604)Termination reason: Instruction limit
% 19.65/3.63 % (427604)Termination phase: Saturation
% 19.65/3.63 % (427604)Time elapsed: 0.067 s
% 19.65/3.63 % (427604)Peak memory usage: 89 MB
% 19.65/3.63 % (427604)Instructions burned: 129 (million)
% 19.65/3.63 % (427607)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1863913028:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 19.65/3.63 % (427608)lrs+10_1_sil=8000:sp=occurrence:random_seed=4136794460:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 19.65/3.63 % (427607)Instruction limit reached!
% 19.65/3.63 % (427607)------------------------------
% 19.65/3.63 % (427607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/3.63 % (427607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/3.63 % (427607)CaDiCaL version: 2.1.3
% 19.65/3.63 % (427607)Termination reason: Instruction limit
% 19.65/3.63 % (427607)Termination phase: Saturation
% 19.65/3.63 % (427607)Time elapsed: 0.064 s
% 19.65/3.63 % (427607)Peak memory usage: 89 MB
% 19.65/3.63 % (427607)Instructions burned: 116 (million)
% 19.65/3.63 % (427609)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3840408494:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 19.65/3.63 % (427612)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=965985695:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 19.65/3.63 % (427609)Instruction limit reached!
% 19.65/3.63 % (427609)------------------------------
% 19.65/3.63 % (427609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/3.63 % (427609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/3.63 % (427609)CaDiCaL version: 2.1.3
% 19.65/3.63 % (427609)Termination reason: Instruction limit
% 19.65/3.63 % (427609)Termination phase: Saturation
% 19.65/3.63 % (427609)Time elapsed: 0.276 s
% 19.65/3.63 % (427609)Peak memory usage: 92 MB
% 19.65/3.63 % (427609)Instructions burned: 437 (million)
% 19.65/3.63 % (427615)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=336088150:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 19.65/3.63 % (427608)Instruction limit reached!
% 19.65/3.63 % (427608)------------------------------
% 19.65/3.63 % (427608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/3.63 % (427608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/3.63 % (427608)CaDiCaL version: 2.1.3
% 19.65/3.63 % (427608)Termination reason: Instruction limit
% 19.65/3.63 % (427608)Termination phase: Saturation
% 19.65/3.63 % (427608)Time elapsed: 0.546 s
% 19.65/3.63 % (427608)Peak memory usage: 96 MB
% 19.65/3.63 % (427608)Instructions burned: 907 (million)
% 19.65/3.63 % (427615)Instruction limit reached!
% 19.65/3.63 % (427615)------------------------------
% 19.65/3.63 % (427615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/3.63 % (427615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/3.63 % (427615)CaDiCaL version: 2.1.3
% 19.65/3.63 % (427615)Termination reason: Instruction limit
% 19.65/3.63 % (427615)Termination phase: Saturation
% 19.65/3.63 % (427615)Time elapsed: 0.072 s
% 19.65/3.63 % (427615)Peak memory usage: 93 MB
% 19.65/3.63 % (427615)Instructions burned: 135 (million)
% 19.65/3.63 % (427618)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=537368065:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 19.65/3.64 % (427617)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=848576771:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 19.65/3.64 % (427617)Refutation not found, incomplete strategy
% 19.65/3.64 % (427617)------------------------------
% 19.65/3.64 % (427617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/3.64 % (427617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/3.64 % (427617)CaDiCaL version: 2.1.3
% 19.65/3.64 % (427617)Termination reason: Refutation not found, incomplete strategy
% 19.65/3.64 % (427617)Time elapsed: 0.003 s
% 19.65/3.64 % (427617)Peak memory usage: 88 MB
% 19.65/3.64 % (427617)Instructions burned: 4 (million)
% 19.65/3.64 % (427617)------------------------------
% 19.65/3.64 % (427617)------------------------------
% 19.65/3.64 % (427621)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=3704487260:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 19.65/3.64 % (427621)Instruction limit reached!
% 19.65/3.64 % (427621)------------------------------
% 19.65/3.64 % (427621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/3.64 % (427621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/3.64 % (427621)CaDiCaL version: 2.1.3
% 19.65/3.64 % (427621)Termination reason: Instruction limit
% 19.65/3.64 % (427621)Termination phase: Saturation
% 19.65/3.64 % (427621)Time elapsed: 0.091 s
% 19.65/3.64 % (427621)Peak memory usage: 91 MB
% 19.65/3.64 % (427621)Instructions burned: 125 (million)
% 19.65/3.64 % (427623)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3427470667:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 19.65/3.64 % (427599)Instruction limit reached!
% 19.65/3.64 % (427599)------------------------------
% 19.65/3.64 % (427599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/3.64 % (427599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/3.64 % (427599)CaDiCaL version: 2.1.3
% 19.65/3.64 % (427599)Termination reason: Instruction limit
% 19.65/3.64 % (427599)Termination phase: Saturation
% 19.65/3.64 % (427599)Time elapsed: 1.581 s
% 19.65/3.64 % (427599)Peak memory usage: 141 MB
% 19.65/3.64 % (427599)Instructions burned: 2350 (million)
% 19.65/3.64 % (427623)Instruction limit reached!
% 19.65/3.64 % (427623)------------------------------
% 19.65/3.64 % (427623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/3.64 % (427623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/3.64 % (427623)CaDiCaL version: 2.1.3
% 19.65/3.64 % (427623)Termination reason: Instruction limit
% 19.65/3.64 % (427623)Termination phase: Saturation
% 19.65/3.64 % (427623)Time elapsed: 0.093 s
% 19.65/3.64 % (427623)Peak memory usage: 90 MB
% 19.65/3.64 % (427623)Instructions burned: 138 (million)
% 19.65/3.64 % (427625)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=159280450:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 19.65/3.64 % (427625)Refutation not found, incomplete strategy
% 19.65/3.64 % (427625)------------------------------
% 19.65/3.64 % (427625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/3.64 % (427625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/3.64 % (427625)CaDiCaL version: 2.1.3
% 19.65/3.64 % (427625)Termination reason: Refutation not found, incomplete strategy
% 19.65/3.64 % (427625)Time elapsed: 0.001 s
% 19.65/3.64 % (427625)Peak memory usage: 88 MB
% 19.65/3.64 % (427626)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3680161831:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 19.65/3.64 % (427612)First to succeed.
% 19.65/3.64 % (427612)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-427572"
% 19.65/3.64 % (427625)------------------------------
% 19.65/3.64 % (427625)------------------------------
% 19.65/3.64 % (427626)Instruction limit reached!
% 19.65/3.64 % (427626)------------------------------
% 19.65/3.64 % (427626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.65/3.64 % (427626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.65/3.64 % (427626)CaDiCaL version: 2.1.3
% 19.65/3.64 % (427626)Termination reason: Instruction limit
% 19.65/3.64 % (427626)Termination phase: Saturation
% 19.65/3.64 % (427626)Time elapsed: 0.240 s
% 19.65/3.64 % (427626)Peak memory usage: 94 MB
% 19.65/3.64 % (427626)Instructions burned: 431 (million)
% 19.65/3.64 % (427629)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=3732922711:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 19.65/3.64 % (427612)Refutation found. Thanks to Tanya!
% 19.65/3.64 % SZS status Theorem for theBenchmark
% 19.65/3.64 % SZS output start Proof for theBenchmark
% See solution above
% 20.28/3.83 % (427612)------------------------------
% 20.28/3.83 % (427612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.28/3.83 % (427612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.28/3.83 % (427612)CaDiCaL version: 2.1.3
% 20.28/3.83 % (427612)Termination reason: Refutation
% 20.28/3.83 % (427612)Time elapsed: 1.411 s
% 20.28/3.83 % (427612)Peak memory usage: 139 MB
% 20.28/3.83 % (427612)Instructions burned: 2099 (million)
% 20.28/3.83 % (427612)------------------------------
% 20.28/3.83 % (427612)------------------------------
% 20.28/3.83 % (427572)Success in time 2.786 s
% 20.28/3.83 % Vampire exiting
%------------------------------------------------------------------------------