%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU235+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 48.00s 7.24s
% Output : Refutation 48.00s
% 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/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f3,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_transitive(X0)
& epsilon_connected(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_ordinal1) ).
fof(f7,axiom,
! [X0] :
( empty(X0)
=> ( epsilon_transitive(X0)
& epsilon_connected(X0)
& ordinal(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_ordinal1) ).
fof(f9,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f13,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f16,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/sandbox2/benchmark/theBenchmark.p',fc2_ordinal1) ).
fof(f30,axiom,
! [X0,X1] :
( ( ordinal(X0)
& ordinal(X1) )
=> ( ordinal_subset(X0,X1)
<=> subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).
fof(f31,axiom,
! [X0,X1] :
( ( ordinal(X0)
& ordinal(X1) )
=> ordinal_subset(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_ordinal1) ).
fof(f34,axiom,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_ordinal1) ).
fof(f35,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ~ ( ~ in(X0,X1)
& X0 != X1
& ~ in(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_ordinal1) ).
fof(f36,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f37,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/sandbox2/benchmark/theBenchmark.p',t32_ordinal1) ).
fof(f38,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)],[f37]) ).
fof(f39,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f41,axiom,
! [X0,X1,X2] :
~ ( in(X0,X1)
& element(X1,powerset(X2))
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f42,axiom,
! [X0] :
( empty(X0)
=> X0 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f43,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f44,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& ! [X2] :
~ ( in(X2,X1)
& ! [X3] :
~ ( in(X3,X1)
& in(X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tarski) ).
fof(f47,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,[],[f16]) ).
fof(f52,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,[],[f47]) ).
fof(f55,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f57,plain,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f63,plain,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0)
& ordinal(X0) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f66,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f67,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f68,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( ordinal_subset(X0,X0)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f70,plain,
! [X0,X1] :
( ordinal_subset(X0,X0)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(flattening,[],[f69]) ).
fof(f72,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f73,plain,
! [X0,X1] :
( ordinal(X0)
| ~ in(X0,X1)
| ~ ordinal(X1) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| X0 = X1
| in(X1,X0)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| X0 = X1
| in(X1,X0)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f77,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f76]) ).
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(ennf_transformation,[],[f38]) ).
fof(f79,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,[],[f78]) ).
fof(f80,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f81,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| ~ empty(X2) ),
inference(ennf_transformation,[],[f41]) ).
fof(f83,plain,
! [X0] :
( X0 = empty_set
| ~ empty(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f84,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f85,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ? [X2] :
( in(X2,X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,X2) ) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f87,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,[],[f66]) ).
fof(f88,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f87]) ).
fof(f89,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))],[f88]) ).
fof(f90,plain,
! [X0] : element(sK1(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f13]) ).
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,[],[f68]) ).
fof(f104,plain,
( subset(sK14,sK15)
& empty_set != sK14
& ! [X2] :
( ~ in(X2,sK14)
| ( ~ ordinal_subset(X2,sK16(X2))
& in(sK16(X2),sK14)
& ordinal(sK16(X2)) )
| ~ ordinal(X2) )
& ordinal(sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X0,sK14),skolemize(X1,sK15),skolemize(X3,sK16(X2))],[f79]) ).
fof(f105,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f106,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ( in(sK17(X1),X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,sK17(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X2,sK17(X1))],[f85]) ).
fof(f107,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f110,plain,
! [X0] :
( ~ ordinal(X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f115,plain,
! [X0] :
( ~ empty(X0)
| ordinal(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f119,plain,
! [X2,X0] :
( ~ in(X2,X0)
| subset(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f122,plain,
! [X0] : element(sK1(X0),X0),
inference(cnf_transformation,[],[f90]) ).
fof(f126,plain,
ordinal(empty_set),
inference(cnf_transformation,[],[f52]) ).
fof(f164,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ordinal_subset(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f165,plain,
! [X0,X1] :
( ~ ordinal(X1)
| ~ ordinal(X0)
| ordinal_subset(X0,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f168,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f169,plain,
! [X0,X1] :
( in(X1,X0)
| in(X0,X1)
| X0 = X1
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f170,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f171,plain,
ordinal(sK15),
inference(cnf_transformation,[],[f104]) ).
fof(f172,plain,
! [X2] :
( ~ in(X2,sK14)
| ordinal(sK16(X2))
| ~ ordinal(X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f173,plain,
! [X2] :
( in(sK16(X2),sK14)
| ~ in(X2,sK14)
| ~ ordinal(X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f174,plain,
! [X2] :
( ~ ordinal_subset(X2,sK16(X2))
| ~ in(X2,sK14)
| ~ ordinal(X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f175,plain,
empty_set != sK14,
inference(cnf_transformation,[],[f104]) ).
fof(f176,plain,
subset(sK14,sK15),
inference(cnf_transformation,[],[f104]) ).
fof(f178,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| ~ empty(X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f181,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f83]) ).
fof(f182,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f183,plain,
! [X3,X0,X1] :
( ~ in(X3,sK17(X1))
| ~ in(X3,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f184,plain,
! [X0,X1] :
( ~ in(X0,X1)
| in(sK17(X1),X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f203,plain,
epsilon_transitive(sK15),
inference(resolution,[],[f110,f171]) ).
fof(f259,plain,
! [X0] :
( ordinal_subset(X0,X0)
| ~ ordinal(X0) ),
inference(resolution,[],[f165,f171]) ).
fof(f288,plain,
! [X0] :
( in(sK1(X0),X0)
| empty(X0) ),
inference(resolution,[],[f170,f122]) ).
fof(f294,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(resolution,[],[f180,f178]) ).
fof(f315,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| element(X0,X2)
| ~ in(X0,X1) ),
inference(resolution,[],[f179,f178]) ).
fof(f333,plain,
! [X0,X1] :
( in(X1,X0)
| X0 = X1
| ~ ordinal(X1)
| ~ ordinal(X0)
| subset(X0,X1)
| ~ epsilon_transitive(X1) ),
inference(resolution,[],[f169,f119]) ).
fof(f334,plain,
! [X0,X1] :
( in(sK17(X1),X1)
| in(X1,X0)
| ~ ordinal(X1)
| ~ ordinal(X0)
| X0 = X1 ),
inference(resolution,[],[f169,f184]) ).
fof(f338,plain,
! [X0,X1] :
( in(X1,X0)
| X0 = X1
| ~ ordinal(X1)
| ~ ordinal(X0)
| ~ empty(X1) ),
inference(resolution,[],[f169,f182]) ).
fof(f348,plain,
! [X0,X1] :
( in(X1,X0)
| X0 = X1
| ~ ordinal(X0)
| ~ empty(X1) ),
inference(forward_subsumption_resolution,[],[f338,f115]) ).
fof(f349,plain,
! [X0,X1] :
( subset(X0,X1)
| X0 = X1
| ~ ordinal(X1)
| ~ ordinal(X0)
| in(X1,X0) ),
inference(forward_subsumption_resolution,[],[f333,f110]) ).
fof(f447,plain,
! [X0] :
( in(sK17(X0),X0)
| empty(X0) ),
inference(resolution,[],[f288,f184]) ).
fof(f454,plain,
! [X0,X1] :
( ~ in(sK1(sK17(X0)),X0)
| empty(sK17(X0))
| ~ in(X1,X0) ),
inference(resolution,[],[f288,f183]) ).
fof(f467,plain,
! [X0] :
( ~ in(X0,sK14)
| ~ empty(sK15) ),
inference(resolution,[],[f294,f176]) ).
fof(f476,plain,
( ~ empty(sK15)
| empty(sK14) ),
inference(resolution,[],[f467,f288]) ).
fof(f492,plain,
! [X0] :
( ~ in(X0,sK14)
| element(X0,sK15) ),
inference(resolution,[],[f315,f176]) ).
fof(f505,plain,
( element(sK1(sK14),sK15)
| empty(sK14) ),
inference(resolution,[],[f492,f288]) ).
fof(f507,plain,
! [X0] :
( element(sK16(X0),sK15)
| ~ in(X0,sK14)
| ~ ordinal(X0) ),
inference(resolution,[],[f492,f173]) ).
fof(f538,plain,
( empty(sK14)
| in(sK1(sK14),sK15)
| empty(sK15) ),
inference(resolution,[],[f505,f170]) ).
fof(f539,plain,
( in(sK1(sK14),sK15)
| empty(sK14) ),
inference(forward_subsumption_resolution,[],[f538,f476]) ).
fof(f561,plain,
! [X2,X0,X1] :
( ~ in(X2,X0)
| ~ ordinal(X1)
| ~ ordinal(X0)
| in(X1,X0)
| element(X2,X1)
| X0 = X1 ),
inference(resolution,[],[f349,f315]) ).
fof(f563,plain,
! [X0,X1] :
( X0 = X1
| ~ ordinal(X1)
| ~ ordinal(X0)
| in(X1,X0)
| ordinal_subset(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(resolution,[],[f349,f164]) ).
fof(f564,plain,
! [X0,X1] :
( ordinal_subset(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0)
| in(X1,X0)
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f563]) ).
fof(f568,plain,
! [X0,X1] :
( in(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1)
| X0 = X1
| subset(sK17(X0),X0)
| ~ epsilon_transitive(X0) ),
inference(resolution,[],[f334,f119]) ).
fof(f595,plain,
! [X0,X1] :
( subset(sK17(X0),X0)
| in(X0,X1)
| ~ ordinal(X1)
| X0 = X1
| ~ ordinal(X0) ),
inference(forward_subsumption_resolution,[],[f568,f110]) ).
fof(f603,plain,
( in(sK17(sK15),sK15)
| empty(sK14) ),
inference(resolution,[],[f539,f184]) ).
fof(f712,plain,
( element(sK17(sK14),sK15)
| empty(sK14) ),
inference(resolution,[],[f447,f492]) ).
fof(f736,plain,
( empty(sK14)
| in(sK17(sK14),sK15)
| empty(sK15) ),
inference(resolution,[],[f712,f170]) ).
fof(f737,plain,
( in(sK17(sK14),sK15)
| empty(sK14) ),
inference(forward_subsumption_resolution,[],[f736,f476]) ).
fof(f743,plain,
( empty(sK14)
| ordinal(sK17(sK14))
| ~ ordinal(sK15) ),
inference(resolution,[],[f737,f168]) ).
fof(f747,plain,
( ordinal(sK17(sK14))
| empty(sK14) ),
inference(forward_subsumption_resolution,[],[f743,f171]) ).
fof(f798,plain,
( empty(sK14)
| subset(sK17(sK15),sK15)
| ~ epsilon_transitive(sK15) ),
inference(resolution,[],[f603,f119]) ).
fof(f805,plain,
( subset(sK17(sK15),sK15)
| empty(sK14) ),
inference(forward_subsumption_resolution,[],[f798,f203]) ).
fof(f949,plain,
! [X0] :
( ~ ordinal(sK16(X0))
| ~ ordinal(X0)
| in(sK16(X0),X0)
| sK16(X0) = X0
| ~ in(X0,sK14)
| ~ ordinal(X0) ),
inference(resolution,[],[f564,f174]) ).
fof(f952,plain,
! [X0] :
( ~ ordinal(sK16(X0))
| ~ ordinal(X0)
| in(sK16(X0),X0)
| sK16(X0) = X0
| ~ in(X0,sK14) ),
inference(duplicate_literal_removal,[],[f949]) ).
fof(f953,plain,
! [X0] :
( in(sK16(X0),X0)
| ~ ordinal(X0)
| sK16(X0) = X0
| ~ in(X0,sK14) ),
inference(forward_subsumption_resolution,[],[f952,f172]) ).
fof(f1004,plain,
! [X0] :
( ~ in(X0,sK17(sK15))
| element(X0,sK15)
| empty(sK14) ),
inference(resolution,[],[f805,f315]) ).
fof(f1106,plain,
! [X0,X1] :
( subset(sK17(X0),X0)
| ~ ordinal(X1)
| X0 = X1
| ~ ordinal(X0)
| ~ in(X1,X0) ),
inference(resolution,[],[f595,f107]) ).
fof(f1123,plain,
! [X0,X1] :
( ~ in(X1,X0)
| X0 = X1
| ~ ordinal(X0)
| subset(sK17(X0),X0) ),
inference(forward_subsumption_resolution,[],[f1106,f168]) ).
fof(f1222,plain,
! [X0,X1] :
( ~ ordinal(X0)
| ~ ordinal(sK14)
| in(X0,sK14)
| element(sK16(X1),X0)
| sK14 = X0
| ~ in(X1,sK14)
| ~ ordinal(X1) ),
inference(resolution,[],[f561,f173]) ).
fof(f1255,plain,
! [X0,X1] :
( element(sK16(X1),X0)
| ~ ordinal(sK14)
| in(X0,sK14)
| ~ ordinal(X0)
| sK14 = X0
| ~ in(X1,sK14) ),
inference(forward_subsumption_resolution,[],[f1222,f168]) ).
fof(f1300,plain,
! [X0] :
( ~ in(X0,sK14)
| ~ ordinal(X0)
| in(sK16(X0),sK15)
| empty(sK15) ),
inference(resolution,[],[f507,f170]) ).
fof(f1301,plain,
! [X0] :
( in(sK16(X0),sK15)
| ~ ordinal(X0)
| ~ in(X0,sK14) ),
inference(forward_subsumption_resolution,[],[f1300,f467]) ).
fof(f1767,plain,
! [X0,X1] :
( ~ in(sK16(sK17(X0)),X0)
| sK17(X0) = sK16(sK17(X0))
| ~ in(sK17(X0),sK14)
| ~ ordinal(sK17(X0))
| ~ in(X1,X0) ),
inference(resolution,[],[f953,f183]) ).
fof(f2630,plain,
( element(sK1(sK17(sK15)),sK15)
| empty(sK14)
| empty(sK17(sK15)) ),
inference(resolution,[],[f1004,f288]) ).
fof(f2699,plain,
! [X0,X1] :
( ~ ordinal(sK14)
| in(X0,sK14)
| ~ ordinal(X0)
| sK14 = X0
| ~ in(X1,sK14)
| in(sK16(X1),X0)
| empty(X0) ),
inference(resolution,[],[f1255,f170]) ).
fof(f2700,plain,
! [X0,X1] :
( in(sK16(X1),X0)
| in(X0,sK14)
| ~ ordinal(X0)
| sK14 = X0
| ~ in(X1,sK14)
| ~ ordinal(sK14) ),
inference(forward_subsumption_resolution,[],[f2699,f348]) ).
fof(f3477,plain,
( empty(sK14)
| empty(sK17(sK15))
| in(sK1(sK17(sK15)),sK15)
| empty(sK15) ),
inference(resolution,[],[f2630,f170]) ).
fof(f3478,plain,
( in(sK1(sK17(sK15)),sK15)
| empty(sK17(sK15))
| empty(sK14) ),
inference(forward_subsumption_resolution,[],[f3477,f476]) ).
fof(f8299,plain,
! [X0] :
( empty(sK17(sK15))
| empty(sK14)
| empty(sK17(sK15))
| ~ in(X0,sK15) ),
inference(resolution,[],[f3478,f454]) ).
fof(f8314,plain,
! [X0] :
( ~ in(X0,sK15)
| empty(sK14)
| empty(sK17(sK15)) ),
inference(duplicate_literal_removal,[],[f8299]) ).
fof(f8496,plain,
( empty(sK14)
| empty(sK17(sK15))
| empty(sK14) ),
inference(resolution,[],[f8314,f603]) ).
fof(f8516,plain,
( empty(sK17(sK15))
| empty(sK14) ),
inference(duplicate_literal_removal,[],[f8496]) ).
fof(f8787,plain,
( empty(sK14)
| empty_set = sK17(sK15) ),
inference(resolution,[],[f8516,f181]) ).
fof(f8948,plain,
( empty_set = sK17(sK15)
| empty_set = sK14 ),
inference(resolution,[],[f8787,f181]) ).
fof(f8965,plain,
empty_set = sK17(sK15),
inference(forward_subsumption_resolution,[],[f8948,f175]) ).
fof(f9036,plain,
! [X0,X1] :
( ~ in(X1,sK15)
| ~ in(X0,sK15)
| ~ in(X0,empty_set) ),
inference(superposition,[],[f183,f8965]) ).
fof(f13772,plain,
! [X0] :
( ~ in(X0,sK15)
| ~ in(X0,empty_set)
| empty(sK15) ),
inference(resolution,[],[f9036,f447]) ).
fof(f13794,plain,
! [X0] :
( ~ in(X0,sK15)
| ~ in(X0,empty_set) ),
inference(forward_subsumption_resolution,[],[f13772,f182]) ).
fof(f13862,plain,
! [X0] :
( ~ in(sK16(X0),empty_set)
| ~ ordinal(X0)
| ~ in(X0,sK14) ),
inference(resolution,[],[f13794,f1301]) ).
fof(f19275,plain,
! [X0] :
( in(empty_set,sK14)
| ~ ordinal(empty_set)
| empty_set = sK14
| ~ in(X0,sK14)
| ~ ordinal(sK14)
| ~ ordinal(X0)
| ~ in(X0,sK14) ),
inference(resolution,[],[f2700,f13862]) ).
fof(f19455,plain,
! [X0] :
( in(empty_set,sK14)
| ~ ordinal(empty_set)
| empty_set = sK14
| ~ in(X0,sK14)
| ~ ordinal(sK14)
| ~ ordinal(X0) ),
inference(duplicate_literal_removal,[],[f19275]) ).
fof(f19490,plain,
! [X0] :
( in(empty_set,sK14)
| ~ ordinal(empty_set)
| empty_set = sK14
| ~ in(X0,sK14)
| ~ ordinal(sK14) ),
inference(forward_subsumption_resolution,[],[f19455,f168]) ).
fof(f19503,plain,
! [X0] :
( in(empty_set,sK14)
| empty_set = sK14
| ~ in(X0,sK14)
| ~ ordinal(sK14) ),
inference(forward_subsumption_resolution,[],[f19490,f126]) ).
fof(f19508,plain,
! [X0] :
( ~ in(X0,sK14)
| in(empty_set,sK14)
| ~ ordinal(sK14) ),
inference(forward_subsumption_resolution,[],[f19503,f175]) ).
fof(f19567,plain,
( in(empty_set,sK14)
| ~ ordinal(sK14)
| empty(sK14) ),
inference(resolution,[],[f19508,f447]) ).
fof(f19677,plain,
( ~ ordinal(sK14)
| empty(sK14)
| empty_set = sK14
| ~ ordinal(sK14)
| subset(sK17(sK14),sK14) ),
inference(resolution,[],[f19567,f1123]) ).
fof(f19678,plain,
( ~ ordinal(sK14)
| empty(sK14)
| empty_set = sK14
| subset(sK17(sK14),sK14) ),
inference(duplicate_literal_removal,[],[f19677]) ).
fof(f19713,plain,
( ~ ordinal(sK14)
| empty_set = sK14
| subset(sK17(sK14),sK14) ),
inference(forward_subsumption_resolution,[],[f19678,f181]) ).
fof(f19730,plain,
( subset(sK17(sK14),sK14)
| ~ ordinal(sK14) ),
inference(forward_subsumption_resolution,[],[f19713,f175]) ).
fof(f19747,plain,
! [X0] :
( ~ ordinal(sK14)
| ~ empty(sK14)
| ~ in(X0,sK17(sK14)) ),
inference(resolution,[],[f19730,f294]) ).
fof(f19757,plain,
! [X0] :
( ~ in(X0,sK17(sK14))
| ~ empty(sK14) ),
inference(forward_subsumption_resolution,[],[f19747,f115]) ).
fof(f19795,plain,
( empty(sK17(sK14))
| ~ empty(sK14) ),
inference(resolution,[],[f19757,f447]) ).
fof(f19887,plain,
( ~ empty(sK14)
| ordinal(sK17(sK14)) ),
inference(resolution,[],[f19795,f115]) ).
fof(f19924,plain,
ordinal(sK17(sK14)),
inference(forward_subsumption_resolution,[],[f19887,f747]) ).
fof(f30934,plain,
! [X0] :
( sK17(sK14) = sK16(sK17(sK14))
| ~ in(sK17(sK14),sK14)
| ~ ordinal(sK17(sK14))
| ~ in(X0,sK14)
| ~ in(sK17(sK14),sK14)
| ~ ordinal(sK17(sK14)) ),
inference(resolution,[],[f1767,f173]) ).
fof(f30959,plain,
! [X0] :
( sK17(sK14) = sK16(sK17(sK14))
| ~ in(sK17(sK14),sK14)
| ~ ordinal(sK17(sK14))
| ~ in(X0,sK14) ),
inference(duplicate_literal_removal,[],[f30934]) ).
fof(f30987,plain,
! [X0] :
( sK17(sK14) = sK16(sK17(sK14))
| ~ ordinal(sK17(sK14))
| ~ in(X0,sK14) ),
inference(forward_subsumption_resolution,[],[f30959,f184]) ).
fof(f31003,plain,
! [X0] :
( ~ in(X0,sK14)
| sK17(sK14) = sK16(sK17(sK14)) ),
inference(forward_subsumption_resolution,[],[f30987,f19924]) ).
fof(f31041,plain,
( empty(sK14)
| sK17(sK14) = sK16(sK17(sK14)) ),
inference(resolution,[],[f31003,f447]) ).
fof(f31079,plain,
( sK17(sK14) = sK16(sK17(sK14))
| empty_set = sK14 ),
inference(resolution,[],[f31041,f181]) ).
fof(f31125,plain,
sK17(sK14) = sK16(sK17(sK14)),
inference(forward_subsumption_resolution,[],[f31079,f175]) ).
fof(f31176,plain,
( ~ ordinal_subset(sK17(sK14),sK17(sK14))
| ~ in(sK17(sK14),sK14)
| ~ ordinal(sK17(sK14)) ),
inference(superposition,[],[f174,f31125]) ).
fof(f31318,plain,
( ~ in(sK17(sK14),sK14)
| ~ ordinal(sK17(sK14)) ),
inference(forward_subsumption_resolution,[],[f31176,f259]) ).
fof(f31325,plain,
~ in(sK17(sK14),sK14),
inference(forward_subsumption_resolution,[],[f31318,f19924]) ).
fof(f31335,plain,
empty(sK14),
inference(resolution,[],[f31325,f447]) ).
fof(f31558,plain,
empty_set = sK14,
inference(resolution,[],[f31335,f181]) ).
fof(f31604,plain,
$false,
inference(forward_subsumption_resolution,[],[f31558,f175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU235+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 04:18:37 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.43/3.04 % (2250741)Will run a generic schedule for satisfiability detection.
% 18.43/3.04 % (2250748)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=223550853:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 18.43/3.04 % (2250747)% WARNING: option uhcvi not known.
% 18.43/3.04 % (2250746)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1839533332_2999 on theBenchmark for (2999ds/0Mi)
% 18.43/3.04 % (2250747)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3524065655:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 18.43/3.04 % (2250751)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=541938793:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 18.43/3.04 % (2250749)dis+10_1_sil=32000:sp=arity:random_seed=4094718737:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 18.43/3.04 % (2250750)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1284593285:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 18.43/3.04 % (2250752)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2223261494:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 18.43/3.04 % TRYING [1]
% 18.43/3.04 % TRYING [2]
% 18.43/3.04 % TRYING [3]
% 18.43/3.04 % TRYING [4]
% 18.43/3.04 % TRYING [5]
% 18.43/3.04 % TRYING [6]
% 18.43/3.04 % (2250749)Instruction limit reached!
% 18.43/3.04 % (2250749)------------------------------
% 18.43/3.04 % (2250749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.04 % (2250750)Instruction limit reached!
% 18.43/3.04 % (2250750)------------------------------
% 18.43/3.04 % (2250750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.04 % (2250749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.04 % (2250750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.04 % (2250749)CaDiCaL version: 2.1.3
% 18.43/3.04 % (2250749)Termination reason: Instruction limit
% 18.43/3.04 % (2250749)Termination phase: Saturation
% 18.43/3.04 % (2250749)Time elapsed: 0.068 s
% 18.43/3.04 % (2250750)CaDiCaL version: 2.1.3
% 18.43/3.04 % (2250749)Peak memory usage: 12 MB
% 18.43/3.04 % (2250750)Termination reason: Instruction limit
% 18.43/3.04 % (2250750)Termination phase: Saturation
% 18.43/3.04 % (2250749)Instructions burned: 104 (million)
% 18.43/3.04 % (2250750)Time elapsed: 0.068 s
% 18.43/3.04 % (2250750)Peak memory usage: 12 MB
% 18.43/3.04 % (2250750)Instructions burned: 116 (million)
% 18.43/3.04 % (2250752)Instruction limit reached!
% 18.43/3.04 % (2250752)------------------------------
% 18.43/3.04 % (2250752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.04 % (2250752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.04 % (2250752)CaDiCaL version: 2.1.3
% 18.43/3.04 % (2250752)Termination reason: Instruction limit
% 18.43/3.04 % (2250752)Termination phase: Saturation
% 18.43/3.04 % (2250752)Time elapsed: 0.083 s
% 18.43/3.04 % (2250752)Peak memory usage: 14 MB
% 18.43/3.04 % (2250752)Instructions burned: 161 (million)
% 18.43/3.04 % (2250751)Instruction limit reached!
% 18.43/3.04 % (2250751)------------------------------
% 18.43/3.04 % (2250751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.04 % (2250751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.04 % (2250751)CaDiCaL version: 2.1.3
% 18.43/3.04 % (2250751)Termination reason: Instruction limit
% 18.43/3.04 % (2250751)Termination phase: Saturation
% 18.43/3.04 % (2250751)Time elapsed: 0.084 s
% 18.43/3.04 % (2250751)Peak memory usage: 13 MB
% 18.43/3.04 % (2250751)Instructions burned: 132 (million)
% 18.43/3.04 % (2250760)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1860028228:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 18.43/3.04 % (2250761)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1570774552:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 18.43/3.04 % TRYING [1]
% 18.43/3.04 % TRYING [2]
% 18.43/3.04 % TRYING [3]
% 18.43/3.04 % TRYING [4]
% 18.43/3.04 % TRYING [5]
% 18.43/3.04 % (2250762)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=3996828495:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 18.43/3.04 % (2250763)ott-21_1_sil=16000:fs=off:random_seed=584769970:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 18.43/3.04 % TRYING [7]
% 18.43/3.04 % TRYING [6]
% 18.43/3.04 % (2250761)Instruction limit reached!
% 18.43/3.04 % (2250761)------------------------------
% 18.43/3.04 % (2250761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.00/7.23 % (2250761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.00/7.23 % (2250761)CaDiCaL version: 2.1.3
% 48.00/7.23 % (2250761)Termination reason: Instruction limit
% 48.00/7.23 % (2250761)Termination phase: Saturation
% 48.00/7.23 % (2250761)Time elapsed: 0.088 s
% 48.00/7.23 % (2250761)Peak memory usage: 13 MB
% 48.00/7.23 % (2250761)Instructions burned: 131 (million)
% 48.00/7.23 % (2250763)Instruction limit reached!
% 48.00/7.23 % (2250763)------------------------------
% 48.00/7.23 % (2250763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.00/7.23 % (2250763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.00/7.23 % (2250763)CaDiCaL version: 2.1.3
% 48.00/7.23 % (2250763)Termination reason: Instruction limit
% 48.00/7.23 % (2250763)Termination phase: Saturation
% 48.00/7.23 % (2250763)Time elapsed: 0.093 s
% 48.00/7.23 % (2250763)Peak memory usage: 13 MB
% 48.00/7.23 % (2250763)Instructions burned: 180 (million)
% 48.00/7.23 % (2250768)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3820091889:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 48.00/7.23 % (2250770)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2129588348:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 48.00/7.23 % TRYING [1]
% 48.00/7.23 % TRYING [2]
% 48.00/7.23 % TRYING [3]
% 48.00/7.23 % TRYING [4]
% 48.00/7.23 % TRYING [5]
% 48.00/7.23 % TRYING [6]
% 48.00/7.23 % TRYING [7]
% 48.00/7.23 % TRYING [7]
% 48.00/7.23 % (2250762)Instruction limit reached!
% 48.00/7.23 % (2250762)------------------------------
% 48.00/7.23 % (2250762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.00/7.23 % (2250762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.00/7.23 % (2250762)CaDiCaL version: 2.1.3
% 48.00/7.23 % (2250762)Termination reason: Instruction limit
% 48.00/7.23 % (2250762)Termination phase: Saturation
% 48.00/7.23 % (2250762)Time elapsed: 0.344 s
% 48.00/7.23 % (2250762)Peak memory usage: 20 MB
% 48.00/7.23 % (2250762)Instructions burned: 687 (million)
% 48.00/7.23 % (2250772)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1228779688:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 48.00/7.23 % (2250768)Instruction limit reached!
% 48.00/7.23 % (2250768)------------------------------
% 48.00/7.23 % (2250768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.00/7.24 % (2250768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.00/7.24 % (2250768)CaDiCaL version: 2.1.3
% 48.00/7.24 % (2250768)Termination reason: Instruction limit
% 48.00/7.24 % (2250768)Termination phase: Saturation
% 48.00/7.24 % (2250768)Time elapsed: 0.315 s
% 48.00/7.24 % (2250768)Peak memory usage: 14 MB
% 48.00/7.24 % (2250768)Instructions burned: 477 (million)
% 48.00/7.24 % (2250760)Instruction limit reached!
% 48.00/7.24 % (2250760)------------------------------
% 48.00/7.24 % (2250760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.00/7.24 % (2250760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.00/7.24 % (2250760)CaDiCaL version: 2.1.3
% 48.00/7.24 % (2250760)Termination reason: Instruction limit
% 48.00/7.24 % (2250760)Termination phase: Finite model building SAT solving
% 48.00/7.24 % (2250760)Time elapsed: 0.437 s
% 48.00/7.24 % (2250760)Peak memory usage: 13 MB
% 48.00/7.24 % (2250760)Instructions burned: 715 (million)
% 48.00/7.24 % (2250774)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=619260214:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 48.00/7.24 % TRYING [14]
% 48.00/7.24 % (2250775)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=2346933057: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)
% 48.00/7.24 % TRYING [8]
% 48.00/7.24 % TRYING [8]
% 48.00/7.24 % (2250770)Instruction limit reached!
% 48.00/7.24 % (2250770)------------------------------
% 48.00/7.24 % (2250770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.00/7.24 % (2250770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.00/7.24 % (2250770)CaDiCaL version: 2.1.3
% 48.00/7.24 % (2250770)Termination reason: Instruction limit
% 48.00/7.24 % (2250770)Termination phase: Finite model building SAT solving
% 48.00/7.24 % (2250770)Time elapsed: 0.522 s
% 48.00/7.24 % (2250770)Peak memory usage: 12 MB
% 48.00/7.24 % (2250770)Instructions burned: 866 (million)
% 48.00/7.24 % (2250778)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1530412483:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 48.00/7.24 % (2250775)Instruction limit reached!
% 48.00/7.24 % (2250775)------------------------------
% 48.00/7.24 % (2250775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.00/7.24 % (2250775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.00/7.24 % (2250775)CaDiCaL version: 2.1.3
% 48.00/7.24 % (2250775)Termination reason: Instruction limit
% 48.00/7.24 % (2250775)Termination phase: Saturation
% 48.00/7.24 % (2250775)Time elapsed: 0.348 s
% 48.00/7.24 % (2250775)Peak memory usage: 17 MB
% 48.00/7.24 % (2250775)Instructions burned: 692 (million)
% 48.00/7.24 % (2250780)fmb+10_1_sil=64000:random_seed=4294807909:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 48.00/7.24 % TRYING [1]
% 48.00/7.24 % TRYING [2]
% 48.00/7.24 % TRYING [3]
% 48.00/7.24 % TRYING [4]
% 48.00/7.24 % TRYING [5]
% 48.00/7.24 % TRYING [6]
% 48.00/7.24 % TRYING [7]
% 48.00/7.24 % (2250774)Instruction limit reached!
% 48.00/7.24 % (2250774)------------------------------
% 48.00/7.24 % (2250774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.00/7.24 % (2250774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.00/7.24 % (2250774)CaDiCaL version: 2.1.3
% 48.00/7.24 % (2250774)Termination reason: Instruction limit
% 48.00/7.24 % (2250774)Termination phase: Finite model building SAT solving
% 48.00/7.24 % (2250774)Time elapsed: 0.447 s
% 48.00/7.24 % (2250774)Peak memory usage: 16 MB
% 48.00/7.24 % (2250774)Instructions burned: 890 (million)
% 48.00/7.24 % (2250782)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2579068679:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 48.00/7.24 % TRYING [20]
% 48.00/7.24 % (2250772)Instruction limit reached!
% 48.00/7.24 % (2250772)------------------------------
% 48.00/7.24 % (2250772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.00/7.24 % (2250772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.00/7.24 % (2250772)CaDiCaL version: 2.1.3
% 48.00/7.24 % (2250772)Termination reason: Instruction limit
% 48.00/7.24 % (2250772)Termination phase: Saturation
% 48.00/7.24 % (2250772)Time elapsed: 0.660 s
% 48.00/7.24 % (2250772)Peak memory usage: 27 MB
% 48.00/7.24 % (2250772)Instructions burned: 1180 (million)
% 48.00/7.24 % (2250784)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2134823605:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 48.00/7.24 % TRYING [8]
% 48.00/7.24 % TRYING [8]
% 48.00/7.24 % (2250778)Instruction limit reached!
% 48.00/7.24 % (2250778)------------------------------
% 48.00/7.24 % (2250778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.00/7.24 % (2250778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.00/7.24 % (2250778)CaDiCaL version: 2.1.3
% 48.00/7.24 % (2250778)Termination reason: Instruction limit
% 48.00/7.24 % (2250778)Termination phase: Saturation
% 48.00/7.24 % (2250778)Time elapsed: 0.517 s
% 48.00/7.24 % (2250778)Peak memory usage: 18 MB
% 48.00/7.24 % (2250778)Instructions burned: 880 (million)
% 48.00/7.24 % (2250786)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3705578014:i=5131_2986 on theBenchmark for (2986ds/5131Mi)
% 48.00/7.24 % (2250784)Instruction limit reached!
% 48.00/7.24 % (2250784)------------------------------
% 48.00/7.24 % (2250784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.00/7.24 % (2250784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.00/7.24 % (2250784)CaDiCaL version: 2.1.3
% 48.00/7.24 % (2250784)Termination reason: Instruction limit
% 48.00/7.24 % (2250784)Termination phase: Finite model building SAT solving
% 48.00/7.24 % (2250784)Time elapsed: 0.533 s
% 48.00/7.24 % (2250784)Peak memory usage: 13 MB
% 48.00/7.24 % (2250784)Instructions burned: 921 (million)
% 48.00/7.24 % (2250788)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3290704856:i=1472:ins=7:fdi=8:gsp=on_2982 on theBenchmark for (2982ds/1472Mi)
% 48.00/7.24 % (2250788)Instruction limit reached!
% 48.00/7.24 % (2250788)------------------------------
% 48.00/7.24 % (2250788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.00/7.24 % (2250788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.00/7.24 % (2250788)CaDiCaL version: 2.1.3
% 48.00/7.24 % (2250788)Termination reason: Instruction limit
% 48.00/7.24 % (2250788)Termination phase: Saturation
% 48.00/7.24 % (2250788)Time elapsed: 0.851 s
% 48.00/7.24 % (2250788)Peak memory usage: 33 MB
% 48.00/7.24 % (2250788)Instructions burned: 1473 (million)
% 48.00/7.24 % (2250790)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=845532205:i=6324_2974 on theBenchmark for (2974ds/6324Mi)
% 48.00/7.24 % TRYING [77]
% 48.00/7.24 % TRYING [9]
% 48.00/7.24 % TRYING [9]
% 48.00/7.24 % (2250786)Instruction limit reached!
% 48.00/7.24 % (2250786)------------------------------
% 48.00/7.24 % (2250786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.00/7.24 % (2250786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.00/7.24 % (2250786)CaDiCaL version: 2.1.3
% 48.00/7.24 % (2250786)Termination reason: Instruction limit
% 48.00/7.24 % (2250786)Termination phase: Saturation
% 48.00/7.24 % (2250786)Time elapsed: 2.733 s
% 48.00/7.24 % (2250786)Peak memory usage: 23 MB
% 48.00/7.24 % (2250786)Instructions burned: 5132 (million)
% 48.00/7.24 % (2250792)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1192213363:fmbsr=2.30978:i=2174_2959 on theBenchmark for (2959ds/2174Mi)
% 48.00/7.24 % TRYING [16]
% 48.00/7.24 % (2250792)Instruction limit reached!
% 48.00/7.24 % (2250792)------------------------------
% 48.00/7.24 % (2250792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.00/7.24 % (2250792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.00/7.24 % (2250792)CaDiCaL version: 2.1.3
% 48.00/7.24 % (2250792)Termination reason: Instruction limit
% 48.00/7.24 % (2250792)Termination phase: Finite model building SAT solving
% 48.00/7.24 % (2250792)Time elapsed: 1.113 s
% 48.00/7.24 % (2250792)Peak memory usage: 98 MB
% 48.00/7.24 % (2250792)Instructions burned: 2175 (million)
% 48.00/7.24 % (2250794)ott-2_1_sil=16000:newcnf=on:random_seed=2339387827:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2947 on theBenchmark for (2947ds/869Mi)
% 48.00/7.24 % (2250790)Instruction limit reached!
% 48.00/7.24 % (2250790)------------------------------
% 48.00/7.24 % (2250790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.00/7.24 % (2250790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.00/7.24 % (2250790)CaDiCaL version: 2.1.3
% 48.00/7.24 % (2250790)Termination reason: Instruction limit
% 48.00/7.24 % (2250790)Termination phase: Finite model building constraint generation
% 48.00/7.24 % (2250790)Time elapsed: 2.616 s
% 48.00/7.24 % (2250790)Peak memory usage: 446 MB
% 48.00/7.24 % (2250790)Instructions burned: 6325 (million)
% 48.00/7.24 % (2250796)ott+10_1_sil=32000:tgt=ground:random_seed=1377831108:i=5114:av=off_2947 on theBenchmark for (2947ds/5114Mi)
% 48.00/7.24 % (2250794)Instruction limit reached!
% 48.00/7.24 % (2250794)------------------------------
% 48.00/7.24 % (2250794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.00/7.24 % (2250794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.00/7.24 % (2250794)CaDiCaL version: 2.1.3
% 48.00/7.24 % (2250794)Termination reason: Instruction limit
% 48.00/7.24 % (2250794)Termination phase: Saturation
% 48.00/7.24 % (2250794)Time elapsed: 0.512 s
% 48.00/7.24 % (2250794)Peak memory usage: 15 MB
% 48.00/7.24 % (2250794)Instructions burned: 869 (million)
% 48.00/7.24 % (2250798)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=644254138:i=54282_2942 on theBenchmark for (2942ds/54282Mi)
% 48.00/7.24 % TRYING [1]
% 48.00/7.24 % TRYING [2]
% 48.00/7.24 % TRYING [3]
% 48.00/7.24 % TRYING [4]
% 48.00/7.24 % TRYING [5]
% 48.00/7.24 % TRYING [6]
% 48.00/7.24 % (2250782)Instruction limit reached!
% 48.00/7.24 % (2250782)------------------------------
% 48.00/7.24 % (2250782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.00/7.24 % (2250782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.00/7.24 % (2250782)CaDiCaL version: 2.1.3
% 48.00/7.24 % (2250782)Termination reason: Instruction limit
% 48.00/7.24 % (2250782)Termination phase: Finite model building SAT solving
% 48.00/7.24 % (2250782)Time elapsed: 4.843 s
% 48.00/7.24 % (2250782)Peak memory usage: 35 MB
% 48.00/7.24 % (2250782)Instructions burned: 9516 (million)
% 48.00/7.24 % TRYING [7]
% 48.00/7.24 % (2250800)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2784426108:i=3512:aac=none_2941 on theBenchmark for (2941ds/3512Mi)
% 48.00/7.24 % TRYING [8]
% 48.00/7.24 % (2250796) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2250741-2250796"...
% 48.00/7.24 % (2250796)...printing done.
% 48.00/7.24 % (2250796)Refutation found. Thanks to Tanya!
% 48.00/7.24 % SZS status Theorem for theBenchmark
% 48.00/7.24 % SZS output start Proof for theBenchmark
% See solution above
% 48.00/7.24 % (2250796)------------------------------
% 48.00/7.24 % (2250796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.00/7.24 % (2250796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.00/7.24 % (2250796)CaDiCaL version: 2.1.3
% 48.00/7.24 % (2250796)Termination reason: Refutation
% 48.00/7.24 % (2250796)Time elapsed: 1.487 s
% 48.00/7.24 % (2250796)Peak memory usage: 22 MB
% 48.00/7.24 % (2250796)Instructions burned: 2547 (million)
% 48.00/7.24 % (2250741)Success in time 6.807 s
% 48.00/7.24 % Vampire exiting
%------------------------------------------------------------------------------