%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU235+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 12:52:32 PM UTC 2026
% Result : Theorem 46.64s 7.21s
% Output : Refutation 46.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 18
% Syntax : Number of formulae : 162 ( 15 unt; 0 def)
% Number of atoms : 553 ( 53 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 647 ( 256 ~; 298 |; 66 &)
% ( 6 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-1 aty)
% Number of variables : 217 ( 207 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f3,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_transitive(X0)
& epsilon_connected(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_ordinal1) ).
fof(f7,axiom,
! [X0] :
( empty(X0)
=> ( epsilon_transitive(X0)
& epsilon_connected(X0)
& ordinal(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_ordinal1) ).
fof(f9,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f10,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f13,axiom,
( relation(empty_set)
& relation_empty_yielding(empty_set)
& function(empty_set)
& one_to_one(empty_set)
& empty(empty_set)
& epsilon_transitive(empty_set)
& epsilon_connected(empty_set)
& ordinal(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_ordinal1) ).
fof(f28,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(f29,axiom,
! [X0,X1] :
( ( ordinal(X0)
& ordinal(X1) )
=> ordinal_subset(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_ordinal1) ).
fof(f32,axiom,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_ordinal1) ).
fof(f33,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ~ ( ~ in(X0,X1)
& X0 != X1
& ~ in(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_ordinal1) ).
fof(f34,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f35,conjecture,
! [X0,X1] :
( ordinal(X1)
=> ~ ( subset(X0,X1)
& X0 != empty_set
& ! [X2] :
( ordinal(X2)
=> ~ ( in(X2,X0)
& ! [X3] :
( ordinal(X3)
=> ( in(X3,X0)
=> ordinal_subset(X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_ordinal1) ).
fof(f36,negated_conjecture,
~ ! [X0,X1] :
( ordinal(X1)
=> ~ ( subset(X0,X1)
& X0 != empty_set
& ! [X2] :
( ordinal(X2)
=> ~ ( in(X2,X0)
& ! [X3] :
( ordinal(X3)
=> ( in(X3,X0)
=> ordinal_subset(X2,X3) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f37,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f38,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f39,axiom,
! [X0,X1,X2] :
~ ( in(X0,X1)
& element(X1,powerset(X2))
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f40,axiom,
! [X0] :
( empty(X0)
=> X0 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f41,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f42,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& ! [X2] :
~ ( in(X2,X1)
& ! [X3] :
~ ( in(X3,X1)
& in(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tarski) ).
fof(f46,plain,
( relation(empty_set)
& function(empty_set)
& one_to_one(empty_set)
& empty(empty_set)
& epsilon_transitive(empty_set)
& epsilon_connected(empty_set)
& ordinal(empty_set) ),
inference(pure_predicate_removal,[],[f13]) ).
fof(f53,plain,
( relation(empty_set)
& function(empty_set)
& empty(empty_set)
& epsilon_transitive(empty_set)
& epsilon_connected(empty_set)
& ordinal(empty_set) ),
inference(pure_predicate_removal,[],[f46]) ).
fof(f54,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f56,plain,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f62,plain,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0)
& ordinal(X0) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f65,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f66,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f67,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ordinal_subset(X0,X0)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f69,plain,
! [X0,X1] :
( ordinal_subset(X0,X0)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(flattening,[],[f68]) ).
fof(f71,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f72,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| X0 = X1
| in(X1,X0)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| X0 = X1
| in(X1,X0)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f76,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
? [X0,X1] :
( subset(X0,X1)
& X0 != empty_set
& ! [X2] :
( ~ in(X2,X0)
| ? [X3] :
( ~ ordinal_subset(X2,X3)
& in(X3,X0)
& ordinal(X3) )
| ~ ordinal(X2) )
& ordinal(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f78,plain,
? [X0,X1] :
( subset(X0,X1)
& X0 != empty_set
& ! [X2] :
( ~ in(X2,X0)
| ? [X3] :
( ~ ordinal_subset(X2,X3)
& in(X3,X0)
& ordinal(X3) )
| ~ ordinal(X2) )
& ordinal(X1) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f38]) ).
fof(f80,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| ~ empty(X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f82,plain,
! [X0] :
( X0 = empty_set
| ~ empty(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f83,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f84,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ? [X2] :
( in(X2,X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,X2) ) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f86,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,[],[f65]) ).
fof(f87,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f86]) ).
fof(f88,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ( ~ subset(sK0(X0),X0)
& in(sK0(X0),X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f87]) ).
fof(f89,plain,
! [X0] : element(sK1(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f10]) ).
fof(f103,plain,
! [X0,X1] :
( ( ( ordinal_subset(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ ordinal_subset(X0,X1) ) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(nnf_transformation,[],[f67]) ).
fof(f104,plain,
( subset(sK15,sK16)
& empty_set != sK15
& ! [X2] :
( ~ in(X2,sK15)
| ( ~ ordinal_subset(X2,sK17(X2))
& in(sK17(X2),sK15)
& ordinal(sK17(X2)) )
| ~ ordinal(X2) )
& ordinal(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17]),skolemize(X0,sK15),skolemize(X1,sK16),skolemize(X3,sK17(X2))],[f78]) ).
fof(f105,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f106,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ( in(sK18(X1),X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,sK18(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X2,sK18(X1))],[f84]) ).
fof(f107,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f110,plain,
! [X0] :
( ~ ordinal(X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f115,plain,
! [X0] :
( ~ empty(X0)
| ordinal(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f119,plain,
! [X2,X0] :
( ~ in(X2,X0)
| subset(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f122,plain,
! [X0] : element(sK1(X0),X0),
inference(cnf_transformation,[],[f89]) ).
fof(f126,plain,
ordinal(empty_set),
inference(cnf_transformation,[],[f53]) ).
fof(f166,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ordinal_subset(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f167,plain,
! [X0,X1] :
( ~ ordinal(X1)
| ~ ordinal(X0)
| ordinal_subset(X0,X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f170,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f171,plain,
! [X0,X1] :
( in(X1,X0)
| in(X0,X1)
| X0 = X1
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f172,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f173,plain,
ordinal(sK16),
inference(cnf_transformation,[],[f104]) ).
fof(f174,plain,
! [X2] :
( ~ in(X2,sK15)
| ordinal(sK17(X2))
| ~ ordinal(X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f175,plain,
! [X2] :
( in(sK17(X2),sK15)
| ~ in(X2,sK15)
| ~ ordinal(X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f176,plain,
! [X2] :
( ~ ordinal_subset(X2,sK17(X2))
| ~ in(X2,sK15)
| ~ ordinal(X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f177,plain,
empty_set != sK15,
inference(cnf_transformation,[],[f104]) ).
fof(f178,plain,
subset(sK15,sK16),
inference(cnf_transformation,[],[f104]) ).
fof(f180,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| ~ empty(X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f183,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f82]) ).
fof(f184,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f185,plain,
! [X3,X0,X1] :
( ~ in(X3,sK18(X1))
| ~ in(X3,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f186,plain,
! [X0,X1] :
( ~ in(X0,X1)
| in(sK18(X1),X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f205,plain,
epsilon_transitive(sK16),
inference(resolution,[],[f110,f173]) ).
fof(f261,plain,
! [X0] :
( ordinal_subset(X0,X0)
| ~ ordinal(X0) ),
inference(resolution,[],[f167,f173]) ).
fof(f290,plain,
! [X0] :
( in(sK1(X0),X0)
| empty(X0) ),
inference(resolution,[],[f172,f122]) ).
fof(f296,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(resolution,[],[f182,f180]) ).
fof(f317,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| element(X0,X2)
| ~ in(X0,X1) ),
inference(resolution,[],[f181,f180]) ).
fof(f335,plain,
! [X0,X1] :
( in(X1,X0)
| X0 = X1
| ~ ordinal(X1)
| ~ ordinal(X0)
| subset(X0,X1)
| ~ epsilon_transitive(X1) ),
inference(resolution,[],[f171,f119]) ).
fof(f336,plain,
! [X0,X1] :
( in(sK18(X1),X1)
| in(X1,X0)
| ~ ordinal(X1)
| ~ ordinal(X0)
| X0 = X1 ),
inference(resolution,[],[f171,f186]) ).
fof(f340,plain,
! [X0,X1] :
( in(X1,X0)
| X0 = X1
| ~ ordinal(X1)
| ~ ordinal(X0)
| ~ empty(X1) ),
inference(resolution,[],[f171,f184]) ).
fof(f350,plain,
! [X0,X1] :
( in(X1,X0)
| X0 = X1
| ~ ordinal(X0)
| ~ empty(X1) ),
inference(forward_subsumption_resolution,[],[f340,f115]) ).
fof(f351,plain,
! [X0,X1] :
( subset(X0,X1)
| X0 = X1
| ~ ordinal(X1)
| ~ ordinal(X0)
| in(X1,X0) ),
inference(forward_subsumption_resolution,[],[f335,f110]) ).
fof(f449,plain,
! [X0] :
( in(sK18(X0),X0)
| empty(X0) ),
inference(resolution,[],[f290,f186]) ).
fof(f456,plain,
! [X0,X1] :
( ~ in(sK1(sK18(X0)),X0)
| empty(sK18(X0))
| ~ in(X1,X0) ),
inference(resolution,[],[f290,f185]) ).
fof(f469,plain,
! [X0] :
( ~ in(X0,sK15)
| ~ empty(sK16) ),
inference(resolution,[],[f296,f178]) ).
fof(f478,plain,
( ~ empty(sK16)
| empty(sK15) ),
inference(resolution,[],[f469,f290]) ).
fof(f494,plain,
! [X0] :
( ~ in(X0,sK15)
| element(X0,sK16) ),
inference(resolution,[],[f317,f178]) ).
fof(f507,plain,
( element(sK1(sK15),sK16)
| empty(sK15) ),
inference(resolution,[],[f494,f290]) ).
fof(f509,plain,
! [X0] :
( element(sK17(X0),sK16)
| ~ in(X0,sK15)
| ~ ordinal(X0) ),
inference(resolution,[],[f494,f175]) ).
fof(f540,plain,
( empty(sK15)
| in(sK1(sK15),sK16)
| empty(sK16) ),
inference(resolution,[],[f507,f172]) ).
fof(f541,plain,
( in(sK1(sK15),sK16)
| empty(sK15) ),
inference(forward_subsumption_resolution,[],[f540,f478]) ).
fof(f563,plain,
! [X2,X0,X1] :
( ~ in(X2,X0)
| ~ ordinal(X1)
| ~ ordinal(X0)
| in(X1,X0)
| element(X2,X1)
| X0 = X1 ),
inference(resolution,[],[f351,f317]) ).
fof(f565,plain,
! [X0,X1] :
( X0 = X1
| ~ ordinal(X1)
| ~ ordinal(X0)
| in(X1,X0)
| ordinal_subset(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(resolution,[],[f351,f166]) ).
fof(f566,plain,
! [X0,X1] :
( ordinal_subset(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0)
| in(X1,X0)
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f565]) ).
fof(f570,plain,
! [X0,X1] :
( in(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1)
| X0 = X1
| subset(sK18(X0),X0)
| ~ epsilon_transitive(X0) ),
inference(resolution,[],[f336,f119]) ).
fof(f597,plain,
! [X0,X1] :
( subset(sK18(X0),X0)
| in(X0,X1)
| ~ ordinal(X1)
| X0 = X1
| ~ ordinal(X0) ),
inference(forward_subsumption_resolution,[],[f570,f110]) ).
fof(f605,plain,
( in(sK18(sK16),sK16)
| empty(sK15) ),
inference(resolution,[],[f541,f186]) ).
fof(f714,plain,
( element(sK18(sK15),sK16)
| empty(sK15) ),
inference(resolution,[],[f449,f494]) ).
fof(f738,plain,
( empty(sK15)
| in(sK18(sK15),sK16)
| empty(sK16) ),
inference(resolution,[],[f714,f172]) ).
fof(f739,plain,
( in(sK18(sK15),sK16)
| empty(sK15) ),
inference(forward_subsumption_resolution,[],[f738,f478]) ).
fof(f745,plain,
( empty(sK15)
| ordinal(sK18(sK15))
| ~ ordinal(sK16) ),
inference(resolution,[],[f739,f170]) ).
fof(f749,plain,
( ordinal(sK18(sK15))
| empty(sK15) ),
inference(forward_subsumption_resolution,[],[f745,f173]) ).
fof(f800,plain,
( empty(sK15)
| subset(sK18(sK16),sK16)
| ~ epsilon_transitive(sK16) ),
inference(resolution,[],[f605,f119]) ).
fof(f807,plain,
( subset(sK18(sK16),sK16)
| empty(sK15) ),
inference(forward_subsumption_resolution,[],[f800,f205]) ).
fof(f951,plain,
! [X0] :
( ~ ordinal(sK17(X0))
| ~ ordinal(X0)
| in(sK17(X0),X0)
| sK17(X0) = X0
| ~ in(X0,sK15)
| ~ ordinal(X0) ),
inference(resolution,[],[f566,f176]) ).
fof(f954,plain,
! [X0] :
( ~ ordinal(sK17(X0))
| ~ ordinal(X0)
| in(sK17(X0),X0)
| sK17(X0) = X0
| ~ in(X0,sK15) ),
inference(duplicate_literal_removal,[],[f951]) ).
fof(f955,plain,
! [X0] :
( in(sK17(X0),X0)
| ~ ordinal(X0)
| sK17(X0) = X0
| ~ in(X0,sK15) ),
inference(forward_subsumption_resolution,[],[f954,f174]) ).
fof(f1006,plain,
! [X0] :
( ~ in(X0,sK18(sK16))
| element(X0,sK16)
| empty(sK15) ),
inference(resolution,[],[f807,f317]) ).
fof(f1108,plain,
! [X0,X1] :
( subset(sK18(X0),X0)
| ~ ordinal(X1)
| X0 = X1
| ~ ordinal(X0)
| ~ in(X1,X0) ),
inference(resolution,[],[f597,f107]) ).
fof(f1125,plain,
! [X0,X1] :
( ~ in(X1,X0)
| X0 = X1
| ~ ordinal(X0)
| subset(sK18(X0),X0) ),
inference(forward_subsumption_resolution,[],[f1108,f170]) ).
fof(f1224,plain,
! [X0,X1] :
( ~ ordinal(X0)
| ~ ordinal(sK15)
| in(X0,sK15)
| element(sK17(X1),X0)
| sK15 = X0
| ~ in(X1,sK15)
| ~ ordinal(X1) ),
inference(resolution,[],[f563,f175]) ).
fof(f1257,plain,
! [X0,X1] :
( element(sK17(X1),X0)
| ~ ordinal(sK15)
| in(X0,sK15)
| ~ ordinal(X0)
| sK15 = X0
| ~ in(X1,sK15) ),
inference(forward_subsumption_resolution,[],[f1224,f170]) ).
fof(f1302,plain,
! [X0] :
( ~ in(X0,sK15)
| ~ ordinal(X0)
| in(sK17(X0),sK16)
| empty(sK16) ),
inference(resolution,[],[f509,f172]) ).
fof(f1303,plain,
! [X0] :
( in(sK17(X0),sK16)
| ~ ordinal(X0)
| ~ in(X0,sK15) ),
inference(forward_subsumption_resolution,[],[f1302,f469]) ).
fof(f1769,plain,
! [X0,X1] :
( ~ in(sK17(sK18(X0)),X0)
| sK18(X0) = sK17(sK18(X0))
| ~ in(sK18(X0),sK15)
| ~ ordinal(sK18(X0))
| ~ in(X1,X0) ),
inference(resolution,[],[f955,f185]) ).
fof(f2632,plain,
( element(sK1(sK18(sK16)),sK16)
| empty(sK15)
| empty(sK18(sK16)) ),
inference(resolution,[],[f1006,f290]) ).
fof(f2701,plain,
! [X0,X1] :
( ~ ordinal(sK15)
| in(X0,sK15)
| ~ ordinal(X0)
| sK15 = X0
| ~ in(X1,sK15)
| in(sK17(X1),X0)
| empty(X0) ),
inference(resolution,[],[f1257,f172]) ).
fof(f2702,plain,
! [X0,X1] :
( in(sK17(X1),X0)
| in(X0,sK15)
| ~ ordinal(X0)
| sK15 = X0
| ~ in(X1,sK15)
| ~ ordinal(sK15) ),
inference(forward_subsumption_resolution,[],[f2701,f350]) ).
fof(f3479,plain,
( empty(sK15)
| empty(sK18(sK16))
| in(sK1(sK18(sK16)),sK16)
| empty(sK16) ),
inference(resolution,[],[f2632,f172]) ).
fof(f3480,plain,
( in(sK1(sK18(sK16)),sK16)
| empty(sK18(sK16))
| empty(sK15) ),
inference(forward_subsumption_resolution,[],[f3479,f478]) ).
fof(f8301,plain,
! [X0] :
( empty(sK18(sK16))
| empty(sK15)
| empty(sK18(sK16))
| ~ in(X0,sK16) ),
inference(resolution,[],[f3480,f456]) ).
fof(f8316,plain,
! [X0] :
( ~ in(X0,sK16)
| empty(sK15)
| empty(sK18(sK16)) ),
inference(duplicate_literal_removal,[],[f8301]) ).
fof(f8498,plain,
( empty(sK15)
| empty(sK18(sK16))
| empty(sK15) ),
inference(resolution,[],[f8316,f605]) ).
fof(f8518,plain,
( empty(sK18(sK16))
| empty(sK15) ),
inference(duplicate_literal_removal,[],[f8498]) ).
fof(f8789,plain,
( empty(sK15)
| empty_set = sK18(sK16) ),
inference(resolution,[],[f8518,f183]) ).
fof(f8950,plain,
( empty_set = sK18(sK16)
| empty_set = sK15 ),
inference(resolution,[],[f8789,f183]) ).
fof(f8967,plain,
empty_set = sK18(sK16),
inference(forward_subsumption_resolution,[],[f8950,f177]) ).
fof(f9038,plain,
! [X0,X1] :
( ~ in(X1,sK16)
| ~ in(X0,sK16)
| ~ in(X0,empty_set) ),
inference(superposition,[],[f185,f8967]) ).
fof(f13774,plain,
! [X0] :
( ~ in(X0,sK16)
| ~ in(X0,empty_set)
| empty(sK16) ),
inference(resolution,[],[f9038,f449]) ).
fof(f13796,plain,
! [X0] :
( ~ in(X0,sK16)
| ~ in(X0,empty_set) ),
inference(forward_subsumption_resolution,[],[f13774,f184]) ).
fof(f13864,plain,
! [X0] :
( ~ in(sK17(X0),empty_set)
| ~ ordinal(X0)
| ~ in(X0,sK15) ),
inference(resolution,[],[f13796,f1303]) ).
fof(f19277,plain,
! [X0] :
( in(empty_set,sK15)
| ~ ordinal(empty_set)
| empty_set = sK15
| ~ in(X0,sK15)
| ~ ordinal(sK15)
| ~ ordinal(X0)
| ~ in(X0,sK15) ),
inference(resolution,[],[f2702,f13864]) ).
fof(f19457,plain,
! [X0] :
( in(empty_set,sK15)
| ~ ordinal(empty_set)
| empty_set = sK15
| ~ in(X0,sK15)
| ~ ordinal(sK15)
| ~ ordinal(X0) ),
inference(duplicate_literal_removal,[],[f19277]) ).
fof(f19492,plain,
! [X0] :
( in(empty_set,sK15)
| ~ ordinal(empty_set)
| empty_set = sK15
| ~ in(X0,sK15)
| ~ ordinal(sK15) ),
inference(forward_subsumption_resolution,[],[f19457,f170]) ).
fof(f19505,plain,
! [X0] :
( in(empty_set,sK15)
| empty_set = sK15
| ~ in(X0,sK15)
| ~ ordinal(sK15) ),
inference(forward_subsumption_resolution,[],[f19492,f126]) ).
fof(f19510,plain,
! [X0] :
( ~ in(X0,sK15)
| in(empty_set,sK15)
| ~ ordinal(sK15) ),
inference(forward_subsumption_resolution,[],[f19505,f177]) ).
fof(f19569,plain,
( in(empty_set,sK15)
| ~ ordinal(sK15)
| empty(sK15) ),
inference(resolution,[],[f19510,f449]) ).
fof(f19679,plain,
( ~ ordinal(sK15)
| empty(sK15)
| empty_set = sK15
| ~ ordinal(sK15)
| subset(sK18(sK15),sK15) ),
inference(resolution,[],[f19569,f1125]) ).
fof(f19680,plain,
( ~ ordinal(sK15)
| empty(sK15)
| empty_set = sK15
| subset(sK18(sK15),sK15) ),
inference(duplicate_literal_removal,[],[f19679]) ).
fof(f19715,plain,
( ~ ordinal(sK15)
| empty_set = sK15
| subset(sK18(sK15),sK15) ),
inference(forward_subsumption_resolution,[],[f19680,f183]) ).
fof(f19732,plain,
( subset(sK18(sK15),sK15)
| ~ ordinal(sK15) ),
inference(forward_subsumption_resolution,[],[f19715,f177]) ).
fof(f19749,plain,
! [X0] :
( ~ ordinal(sK15)
| ~ empty(sK15)
| ~ in(X0,sK18(sK15)) ),
inference(resolution,[],[f19732,f296]) ).
fof(f19759,plain,
! [X0] :
( ~ in(X0,sK18(sK15))
| ~ empty(sK15) ),
inference(forward_subsumption_resolution,[],[f19749,f115]) ).
fof(f19797,plain,
( empty(sK18(sK15))
| ~ empty(sK15) ),
inference(resolution,[],[f19759,f449]) ).
fof(f19889,plain,
( ~ empty(sK15)
| ordinal(sK18(sK15)) ),
inference(resolution,[],[f19797,f115]) ).
fof(f19926,plain,
ordinal(sK18(sK15)),
inference(forward_subsumption_resolution,[],[f19889,f749]) ).
fof(f30936,plain,
! [X0] :
( sK18(sK15) = sK17(sK18(sK15))
| ~ in(sK18(sK15),sK15)
| ~ ordinal(sK18(sK15))
| ~ in(X0,sK15)
| ~ in(sK18(sK15),sK15)
| ~ ordinal(sK18(sK15)) ),
inference(resolution,[],[f1769,f175]) ).
fof(f30961,plain,
! [X0] :
( sK18(sK15) = sK17(sK18(sK15))
| ~ in(sK18(sK15),sK15)
| ~ ordinal(sK18(sK15))
| ~ in(X0,sK15) ),
inference(duplicate_literal_removal,[],[f30936]) ).
fof(f30989,plain,
! [X0] :
( sK18(sK15) = sK17(sK18(sK15))
| ~ ordinal(sK18(sK15))
| ~ in(X0,sK15) ),
inference(forward_subsumption_resolution,[],[f30961,f186]) ).
fof(f31005,plain,
! [X0] :
( ~ in(X0,sK15)
| sK18(sK15) = sK17(sK18(sK15)) ),
inference(forward_subsumption_resolution,[],[f30989,f19926]) ).
fof(f31043,plain,
( empty(sK15)
| sK18(sK15) = sK17(sK18(sK15)) ),
inference(resolution,[],[f31005,f449]) ).
fof(f31081,plain,
( sK18(sK15) = sK17(sK18(sK15))
| empty_set = sK15 ),
inference(resolution,[],[f31043,f183]) ).
fof(f31127,plain,
sK18(sK15) = sK17(sK18(sK15)),
inference(forward_subsumption_resolution,[],[f31081,f177]) ).
fof(f31178,plain,
( ~ ordinal_subset(sK18(sK15),sK18(sK15))
| ~ in(sK18(sK15),sK15)
| ~ ordinal(sK18(sK15)) ),
inference(superposition,[],[f176,f31127]) ).
fof(f31320,plain,
( ~ in(sK18(sK15),sK15)
| ~ ordinal(sK18(sK15)) ),
inference(forward_subsumption_resolution,[],[f31178,f261]) ).
fof(f31327,plain,
~ in(sK18(sK15),sK15),
inference(forward_subsumption_resolution,[],[f31320,f19926]) ).
fof(f31337,plain,
empty(sK15),
inference(resolution,[],[f31327,f449]) ).
fof(f31560,plain,
empty_set = sK15,
inference(resolution,[],[f31337,f183]) ).
fof(f31606,plain,
$false,
inference(forward_subsumption_resolution,[],[f31560,f177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU235+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 04:18:46 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.84/3.01 % (2251181)Will run a generic schedule for satisfiability detection.
% 16.84/3.01 % (2251186)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3638036430_2999 on theBenchmark for (2999ds/0Mi)
% 16.84/3.01 % TRYING [1]
% 16.84/3.01 % TRYING [2]
% 16.84/3.01 % TRYING [3]
% 16.84/3.01 % TRYING [4]
% 16.84/3.01 % TRYING [5]
% 16.84/3.01 % (2251189)dis+10_1_sil=32000:sp=arity:random_seed=3857766333:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.84/3.01 % (2251188)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3310872657:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.84/3.01 % (2251192)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=136233357:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.84/3.01 % (2251190)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=543450946:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.84/3.01 % (2251191)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=760115113:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.84/3.01 % (2251187)% WARNING: option uhcvi not known.
% 16.84/3.01 % (2251187)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2119767772:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.84/3.01 % TRYING [6]
% 16.84/3.01 % TRYING [7]
% 16.84/3.01 % (2251189)Instruction limit reached!
% 16.84/3.01 % (2251189)------------------------------
% 16.84/3.01 % (2251189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.84/3.01 % (2251189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.01 % (2251189)CaDiCaL version: 2.1.3
% 16.84/3.01 % (2251189)Termination reason: Instruction limit
% 16.84/3.01 % (2251189)Termination phase: Saturation
% 16.84/3.01 % (2251189)Time elapsed: 0.069 s
% 16.84/3.01 % (2251189)Peak memory usage: 12 MB
% 16.84/3.01 % (2251189)Instructions burned: 104 (million)
% 16.84/3.01 % (2251190)Instruction limit reached!
% 16.84/3.01 % (2251190)------------------------------
% 16.84/3.01 % (2251190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.84/3.01 % (2251190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.01 % (2251190)CaDiCaL version: 2.1.3
% 16.84/3.01 % (2251190)Termination reason: Instruction limit
% 16.84/3.01 % (2251190)Termination phase: Saturation
% 16.84/3.01 % (2251190)Time elapsed: 0.069 s
% 16.84/3.01 % (2251190)Peak memory usage: 12 MB
% 16.84/3.01 % (2251190)Instructions burned: 117 (million)
% 16.84/3.01 % (2251192)Instruction limit reached!
% 16.84/3.01 % (2251192)------------------------------
% 16.84/3.01 % (2251192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.84/3.01 % (2251192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.01 % (2251192)CaDiCaL version: 2.1.3
% 16.84/3.01 % (2251192)Termination reason: Instruction limit
% 16.84/3.01 % (2251192)Termination phase: Saturation
% 16.84/3.01 % (2251192)Time elapsed: 0.079 s
% 16.84/3.01 % (2251192)Peak memory usage: 13 MB
% 16.84/3.01 % (2251192)Instructions burned: 160 (million)
% 16.84/3.01 % (2251191)Instruction limit reached!
% 16.84/3.01 % (2251191)------------------------------
% 16.84/3.01 % (2251191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.84/3.01 % (2251191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.01 % (2251191)CaDiCaL version: 2.1.3
% 16.84/3.01 % (2251191)Termination reason: Instruction limit
% 16.84/3.01 % (2251191)Termination phase: Saturation
% 16.84/3.01 % (2251191)Time elapsed: 0.085 s
% 16.84/3.01 % (2251191)Peak memory usage: 14 MB
% 16.84/3.01 % (2251191)Instructions burned: 131 (million)
% 16.84/3.01 % (2251201)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1284275082:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 16.84/3.01 % (2251200)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=753121748:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.84/3.01 % TRYING [1]
% 16.84/3.01 % TRYING [2]
% 16.84/3.01 % TRYING [3]
% 16.84/3.01 % TRYING [4]
% 16.84/3.01 % (2251202)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4001823313:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.84/3.01 % TRYING [5]
% 16.84/3.01 % (2251203)ott-21_1_sil=16000:fs=off:random_seed=3474107778:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.84/3.01 % TRYING [6]
% 16.84/3.01 % (2251201)Instruction limit reached!
% 16.84/3.01 % (2251201)------------------------------
% 16.84/3.01 % (2251201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.64/7.21 % (2251201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.64/7.21 % (2251201)CaDiCaL version: 2.1.3
% 46.64/7.21 % (2251201)Termination reason: Instruction limit
% 46.64/7.21 % (2251201)Termination phase: Saturation
% 46.64/7.21 % (2251201)Time elapsed: 0.087 s
% 46.64/7.21 % (2251201)Peak memory usage: 13 MB
% 46.64/7.21 % (2251201)Instructions burned: 131 (million)
% 46.64/7.21 % (2251208)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4325794:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 46.64/7.21 % (2251203)Instruction limit reached!
% 46.64/7.21 % (2251203)------------------------------
% 46.64/7.21 % (2251203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.64/7.21 % (2251203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.64/7.21 % (2251203)CaDiCaL version: 2.1.3
% 46.64/7.21 % (2251203)Termination reason: Instruction limit
% 46.64/7.21 % (2251203)Termination phase: Saturation
% 46.64/7.21 % (2251203)Time elapsed: 0.097 s
% 46.64/7.21 % (2251203)Peak memory usage: 12 MB
% 46.64/7.21 % (2251203)Instructions burned: 180 (million)
% 46.64/7.21 % (2251210)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3457166294:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 46.64/7.21 % TRYING [1]
% 46.64/7.21 % TRYING [2]
% 46.64/7.21 % TRYING [3]
% 46.64/7.21 % TRYING [4]
% 46.64/7.21 % TRYING [5]
% 46.64/7.21 % TRYING [6]
% 46.64/7.21 % TRYING [8]
% 46.64/7.21 % TRYING [7]
% 46.64/7.21 % TRYING [7]
% 46.64/7.21 % (2251202)Instruction limit reached!
% 46.64/7.21 % (2251202)------------------------------
% 46.64/7.21 % (2251202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.64/7.21 % (2251202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.64/7.21 % (2251202)CaDiCaL version: 2.1.3
% 46.64/7.21 % (2251202)Termination reason: Instruction limit
% 46.64/7.21 % (2251202)Termination phase: Saturation
% 46.64/7.21 % (2251202)Time elapsed: 0.337 s
% 46.64/7.21 % (2251202)Peak memory usage: 20 MB
% 46.64/7.21 % (2251202)Instructions burned: 686 (million)
% 46.64/7.21 % (2251212)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1155086931:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 46.64/7.21 % TRYING [8]
% 46.64/7.21 % (2251208)Instruction limit reached!
% 46.64/7.21 % (2251208)------------------------------
% 46.64/7.21 % (2251208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.64/7.21 % (2251208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.64/7.21 % (2251208)CaDiCaL version: 2.1.3
% 46.64/7.21 % (2251208)Termination reason: Instruction limit
% 46.64/7.21 % (2251208)Termination phase: Saturation
% 46.64/7.21 % (2251208)Time elapsed: 0.323 s
% 46.64/7.21 % (2251208)Peak memory usage: 14 MB
% 46.64/7.21 % (2251208)Instructions burned: 477 (million)
% 46.64/7.21 % (2251200)Instruction limit reached!
% 46.64/7.21 % (2251200)------------------------------
% 46.64/7.21 % (2251200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.64/7.21 % (2251200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.64/7.21 % (2251200)CaDiCaL version: 2.1.3
% 46.64/7.21 % (2251200)Termination reason: Instruction limit
% 46.64/7.21 % (2251200)Termination phase: Finite model building SAT solving
% 46.64/7.21 % (2251200)Time elapsed: 0.439 s
% 46.64/7.21 % (2251200)Peak memory usage: 14 MB
% 46.64/7.21 % (2251200)Instructions burned: 714 (million)
% 46.64/7.21 % (2251214)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1736586432:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 46.64/7.21 % TRYING [14]
% 46.64/7.21 % (2251215)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4025188146:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 46.64/7.21 % (2251210)Instruction limit reached!
% 46.64/7.21 % (2251210)------------------------------
% 46.64/7.21 % (2251210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.64/7.21 % (2251210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.64/7.21 % (2251210)CaDiCaL version: 2.1.3
% 46.64/7.21 % (2251210)Termination reason: Instruction limit
% 46.64/7.21 % (2251210)Termination phase: Finite model building SAT solving
% 46.64/7.21 % (2251210)Time elapsed: 0.521 s
% 46.64/7.21 % (2251210)Peak memory usage: 12 MB
% 46.64/7.21 % (2251210)Instructions burned: 865 (million)
% 46.64/7.21 % (2251218)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1511462590:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 46.64/7.21 % (2251215)Instruction limit reached!
% 46.64/7.21 % (2251215)------------------------------
% 46.64/7.21 % (2251215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.64/7.21 % (2251215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.64/7.21 % (2251215)CaDiCaL version: 2.1.3
% 46.64/7.21 % (2251215)Termination reason: Instruction limit
% 46.64/7.21 % (2251215)Termination phase: Saturation
% 46.64/7.21 % (2251215)Time elapsed: 0.374 s
% 46.64/7.21 % (2251215)Peak memory usage: 18 MB
% 46.64/7.21 % (2251215)Instructions burned: 692 (million)
% 46.64/7.21 % (2251220)fmb+10_1_sil=64000:random_seed=3827273858:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 46.64/7.21 % TRYING [1]
% 46.64/7.21 % TRYING [2]
% 46.64/7.21 % TRYING [3]
% 46.64/7.21 % TRYING [4]
% 46.64/7.21 % TRYING [5]
% 46.64/7.21 % TRYING [6]
% 46.64/7.21 % (2251214)Instruction limit reached!
% 46.64/7.21 % (2251214)------------------------------
% 46.64/7.21 % (2251214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.64/7.21 % (2251214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.64/7.21 % (2251214)CaDiCaL version: 2.1.3
% 46.64/7.21 % (2251214)Termination reason: Instruction limit
% 46.64/7.21 % (2251214)Termination phase: Finite model building SAT solving
% 46.64/7.21 % (2251214)Time elapsed: 0.433 s
% 46.64/7.21 % (2251214)Peak memory usage: 16 MB
% 46.64/7.21 % (2251214)Instructions burned: 889 (million)
% 46.64/7.21 % (2251222)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2537319915:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 46.64/7.21 % TRYING [20]
% 46.64/7.21 % TRYING [7]
% 46.64/7.21 % (2251212)Instruction limit reached!
% 46.64/7.21 % (2251212)------------------------------
% 46.64/7.21 % (2251212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.64/7.21 % (2251212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.64/7.21 % (2251212)CaDiCaL version: 2.1.3
% 46.64/7.21 % (2251212)Termination reason: Instruction limit
% 46.64/7.21 % (2251212)Termination phase: Saturation
% 46.64/7.21 % (2251212)Time elapsed: 0.656 s
% 46.64/7.21 % (2251212)Peak memory usage: 27 MB
% 46.64/7.21 % (2251212)Instructions burned: 1180 (million)
% 46.64/7.21 % (2251224)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=493297563:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 46.64/7.21 % TRYING [8]
% 46.64/7.21 % TRYING [9]
% 46.64/7.21 % TRYING [8]
% 46.64/7.21 % (2251218)Instruction limit reached!
% 46.64/7.21 % (2251218)------------------------------
% 46.64/7.21 % (2251218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.64/7.21 % (2251218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.64/7.21 % (2251218)CaDiCaL version: 2.1.3
% 46.64/7.21 % (2251218)Termination reason: Instruction limit
% 46.64/7.21 % (2251218)Termination phase: Saturation
% 46.64/7.21 % (2251218)Time elapsed: 0.515 s
% 46.64/7.21 % (2251218)Peak memory usage: 18 MB
% 46.64/7.21 % (2251218)Instructions burned: 879 (million)
% 46.64/7.21 % (2251226)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1802944589:i=5131_2986 on theBenchmark for (2986ds/5131Mi)
% 46.64/7.21 % (2251224)Instruction limit reached!
% 46.64/7.21 % (2251224)------------------------------
% 46.64/7.21 % (2251224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.64/7.21 % (2251224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.64/7.21 % (2251224)CaDiCaL version: 2.1.3
% 46.64/7.21 % (2251224)Termination reason: Instruction limit
% 46.64/7.21 % (2251224)Termination phase: Finite model building SAT solving
% 46.64/7.21 % (2251224)Time elapsed: 0.534 s
% 46.64/7.21 % (2251224)Peak memory usage: 13 MB
% 46.64/7.21 % (2251224)Instructions burned: 920 (million)
% 46.64/7.21 % (2251228)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=643592560:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 46.64/7.21 % (2251228)Instruction limit reached!
% 46.64/7.21 % (2251228)------------------------------
% 46.64/7.21 % (2251228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.64/7.21 % (2251228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.64/7.21 % (2251228)CaDiCaL version: 2.1.3
% 46.64/7.21 % (2251228)Termination reason: Instruction limit
% 46.64/7.21 % (2251228)Termination phase: Saturation
% 46.64/7.21 % (2251228)Time elapsed: 0.852 s
% 46.64/7.21 % (2251228)Peak memory usage: 32 MB
% 46.64/7.21 % (2251228)Instructions burned: 1472 (million)
% 46.64/7.21 % (2251230)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2059876079:i=6324_2974 on theBenchmark for (2974ds/6324Mi)
% 46.64/7.21 % TRYING [77]
% 46.64/7.21 % TRYING [9]
% 46.64/7.21 % (2251226)Instruction limit reached!
% 46.64/7.21 % (2251226)------------------------------
% 46.64/7.21 % (2251226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.64/7.21 % (2251226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.64/7.21 % (2251226)CaDiCaL version: 2.1.3
% 46.64/7.21 % (2251226)Termination reason: Instruction limit
% 46.64/7.21 % (2251226)Termination phase: Saturation
% 46.64/7.21 % (2251226)Time elapsed: 2.734 s
% 46.64/7.21 % (2251226)Peak memory usage: 23 MB
% 46.64/7.21 % (2251226)Instructions burned: 5132 (million)
% 46.64/7.21 % (2251232)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2296972803:fmbsr=2.30978:i=2174_2959 on theBenchmark for (2959ds/2174Mi)
% 46.64/7.21 % TRYING [16]
% 46.64/7.21 % (2251230)Instruction limit reached!
% 46.64/7.21 % (2251230)------------------------------
% 46.64/7.21 % (2251230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.64/7.21 % (2251230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.64/7.21 % (2251230)CaDiCaL version: 2.1.3
% 46.64/7.21 % (2251230)Termination reason: Instruction limit
% 46.64/7.21 % (2251230)Termination phase: Finite model building constraint generation
% 46.64/7.21 % (2251230)Time elapsed: 2.629 s
% 46.64/7.21 % (2251230)Peak memory usage: 446 MB
% 46.64/7.21 % (2251230)Instructions burned: 6325 (million)
% 46.64/7.21 % (2251232)Instruction limit reached!
% 46.64/7.21 % (2251232)------------------------------
% 46.64/7.21 % (2251232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.64/7.21 % (2251232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.64/7.21 % (2251232)CaDiCaL version: 2.1.3
% 46.64/7.21 % (2251232)Termination reason: Instruction limit
% 46.64/7.21 % (2251232)Termination phase: Finite model building SAT solving
% 46.64/7.21 % (2251232)Time elapsed: 1.143 s
% 46.64/7.21 % (2251232)Peak memory usage: 96 MB
% 46.64/7.21 % (2251232)Instructions burned: 2174 (million)
% 46.64/7.21 % (2251234)ott-2_1_sil=16000:newcnf=on:random_seed=831721970:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2947 on theBenchmark for (2947ds/869Mi)
% 46.64/7.21 % (2251236)ott+10_1_sil=32000:tgt=ground:random_seed=3914129025:i=5114:av=off_2947 on theBenchmark for (2947ds/5114Mi)
% 46.64/7.21 % (2251234)Instruction limit reached!
% 46.64/7.21 % (2251234)------------------------------
% 46.64/7.21 % (2251234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.64/7.21 % (2251234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.64/7.21 % (2251234)CaDiCaL version: 2.1.3
% 46.64/7.21 % (2251234)Termination reason: Instruction limit
% 46.64/7.21 % (2251234)Termination phase: Saturation
% 46.64/7.21 % (2251234)Time elapsed: 0.508 s
% 46.64/7.21 % (2251234)Peak memory usage: 16 MB
% 46.64/7.21 % (2251234)Instructions burned: 869 (million)
% 46.64/7.21 % (2251238)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3878297542:i=54282_2942 on theBenchmark for (2942ds/54282Mi)
% 46.64/7.21 % TRYING [1]
% 46.64/7.21 % TRYING [2]
% 46.64/7.21 % TRYING [3]
% 46.64/7.21 % TRYING [4]
% 46.64/7.21 % TRYING [5]
% 46.64/7.21 % TRYING [6]
% 46.64/7.21 % (2251222)Instruction limit reached!
% 46.64/7.21 % (2251222)------------------------------
% 46.64/7.21 % (2251222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.64/7.21 % (2251222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.64/7.21 % (2251222)CaDiCaL version: 2.1.3
% 46.64/7.21 % (2251222)Termination reason: Instruction limit
% 46.64/7.21 % (2251222)Termination phase: Finite model building SAT solving
% 46.64/7.21 % (2251222)Time elapsed: 4.890 s
% 46.64/7.21 % (2251222)Peak memory usage: 34 MB
% 46.64/7.21 % (2251222)Instructions burned: 9516 (million)
% 46.64/7.21 % TRYING [7]
% 46.64/7.21 % (2251240)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3987221255:i=3512:aac=none_2940 on theBenchmark for (2940ds/3512Mi)
% 46.64/7.21 % TRYING [8]
% 46.64/7.21 % TRYING [10]
% 46.64/7.21 % (2251236) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2251181-2251236"...
% 46.64/7.21 % (2251236)...printing done.
% 46.64/7.21 % (2251236)Refutation found. Thanks to Tanya!
% 46.64/7.21 % SZS status Theorem for theBenchmark
% 46.64/7.21 % SZS output start Proof for theBenchmark
% See solution above
% 46.64/7.21 % (2251236)------------------------------
% 46.64/7.21 % (2251236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.64/7.21 % (2251236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.64/7.21 % (2251236)CaDiCaL version: 2.1.3
% 46.64/7.21 % (2251236)Termination reason: Refutation
% 46.64/7.21 % (2251236)Time elapsed: 1.483 s
% 46.64/7.21 % (2251236)Peak memory usage: 22 MB
% 46.64/7.21 % (2251236)Instructions burned: 2548 (million)
% 46.64/7.21 % (2251181)Success in time 6.792 s
% 46.64/7.21 % Vampire exiting
%------------------------------------------------------------------------------