%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU185+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:47:38 PM UTC 2026
% Result : Theorem 6.98s 2.02s
% Output : Refutation 8.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 12
% Syntax : Number of formulae : 103 ( 15 unt; 0 def)
% Number of atoms : 411 ( 50 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 518 ( 210 ~; 217 |; 59 &)
% ( 15 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 2 con; 0-4 aty)
% Number of variables : 277 ( 245 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f16,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f18,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f22,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f24,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f28,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( X2 = relation_composition(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_1) ).
fof(f48,axiom,
! [X0,X1] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f104,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_relat_1) ).
fof(f130,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_relat_1) ).
fof(f135,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_dom(X0),relation_rng(X1))
=> relation_rng(relation_composition(X1,X0)) = relation_rng(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_relat_1) ).
fof(f136,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_dom(X0),relation_rng(X1))
=> relation_rng(relation_composition(X1,X0)) = relation_rng(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f135]) ).
fof(f149,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f175,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f176,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f177,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = relation_composition(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) ) ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f185,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f186,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f185]) ).
fof(f227,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f104]) ).
fof(f228,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f227]) ).
fof(f246,plain,
! [X0] :
( ! [X1] :
( subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f130]) ).
fof(f253,plain,
? [X0] :
( ? [X1] :
( relation_rng(X0) != relation_rng(relation_composition(X1,X0))
& subset(relation_dom(X0),relation_rng(X1))
& relation(X1) )
& relation(X0) ),
inference(ennf_transformation,[],[f136]) ).
fof(f254,plain,
? [X0] :
( ? [X1] :
( relation_rng(X0) != relation_rng(relation_composition(X1,X0))
& subset(relation_dom(X0),relation_rng(X1))
& relation(X1) )
& relation(X0) ),
inference(flattening,[],[f253]) ).
fof(f281,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f282,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f281]) ).
fof(f310,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,[],[f175]) ).
fof(f311,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,[],[f310]) ).
fof(f312,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK16(X0,X1),X1)
& in(sK16(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0,X1))],[f311]) ).
fof(f317,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f176]) ).
fof(f318,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f317]) ).
fof(f319,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK18(X0,X1),X3),X0)
| ~ in(sK18(X0,X1),X1) )
& ( in(ordered_pair(sK18(X0,X1),sK19(X0,X1)),X0)
| in(sK18(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK20(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20]),skolemize(X2,sK18(X0,X1)),skolemize(X4,sK19(X0,X1)),skolemize(X7,sK20(X0,X5))],[f318]) ).
fof(f327,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f177]) ).
fof(f328,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f327]) ).
fof(f329,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK25(X0,X1)),X0)
| ~ in(sK25(X0,X1),X1) )
& ( in(ordered_pair(sK26(X0,X1),sK25(X0,X1)),X0)
| in(sK25(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK27(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26,sK27]),skolemize(X2,sK25(X0,X1)),skolemize(X4,sK26(X0,X1)),skolemize(X7,sK27(X0,X5))],[f328]) ).
fof(f334,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = relation_composition(X0,X1)
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X3,X5),X0)
| ~ in(ordered_pair(X5,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ! [X5] :
( ~ in(ordered_pair(X3,X5),X0)
| ~ in(ordered_pair(X5,X4),X1) ) )
& ( ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f181]) ).
fof(f335,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = relation_composition(X0,X1)
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X3,X5),X0)
| ~ in(ordered_pair(X5,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X6] :
( in(ordered_pair(X3,X6),X0)
& in(ordered_pair(X6,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X7,X9),X0)
| ~ in(ordered_pair(X9,X8),X1) ) )
& ( ? [X10] :
( in(ordered_pair(X7,X10),X0)
& in(ordered_pair(X10,X8),X1) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(rectify,[],[f334]) ).
fof(f336,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = relation_composition(X0,X1)
| ( ( ! [X5] :
( ~ in(ordered_pair(sK30(X0,X1,X2),X5),X0)
| ~ in(ordered_pair(X5,sK31(X0,X1,X2)),X1) )
| ~ in(ordered_pair(sK30(X0,X1,X2),sK31(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK30(X0,X1,X2),sK32(X0,X1,X2)),X0)
& in(ordered_pair(sK32(X0,X1,X2),sK31(X0,X1,X2)),X1) )
| in(ordered_pair(sK30(X0,X1,X2),sK31(X0,X1,X2)),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X7,X9),X0)
| ~ in(ordered_pair(X9,X8),X1) ) )
& ( ( in(ordered_pair(X7,sK33(X0,X1,X7,X8)),X0)
& in(ordered_pair(sK33(X0,X1,X7,X8),X8),X1) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33]),skolemize(X3,sK30(X0,X1,X2)),skolemize(X4,sK31(X0,X1,X2)),skolemize(X6,sK32(X0,X1,X2)),skolemize(X10,sK33(X0,X1,X7,X8))],[f335]) ).
fof(f370,plain,
( relation_rng(sK45) != relation_rng(relation_composition(sK46,sK45))
& subset(relation_dom(sK45),relation_rng(sK46))
& relation(sK46)
& relation(sK45) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45,sK46]),skolemize(X0,sK45),skolemize(X1,sK46)],[f254]) ).
fof(f377,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f382,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f282]) ).
fof(f428,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f312]) ).
fof(f429,plain,
! [X0,X1] :
( in(sK16(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f312]) ).
fof(f430,plain,
! [X0,X1] :
( ~ in(sK16(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f312]) ).
fof(f437,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK20(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f454,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK27(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f459,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f469,plain,
! [X2,X0,X1,X8,X9,X7] :
( in(ordered_pair(X7,X8),X2)
| ~ in(ordered_pair(X7,X9),X0)
| ~ in(ordered_pair(X9,X8),X1)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f336]) ).
fof(f484,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f555,plain,
! [X2,X0,X1] :
( in(X1,relation_rng(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f228]) ).
fof(f556,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f228]) ).
fof(f597,plain,
! [X0,X1] :
( subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f602,plain,
relation(sK45),
inference(cnf_transformation,[],[f370]) ).
fof(f603,plain,
relation(sK46),
inference(cnf_transformation,[],[f370]) ).
fof(f604,plain,
subset(relation_dom(sK45),relation_rng(sK46)),
inference(cnf_transformation,[],[f370]) ).
fof(f605,plain,
relation_rng(sK45) != relation_rng(relation_composition(sK46,sK45)),
inference(cnf_transformation,[],[f370]) ).
fof(f620,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f149]) ).
fof(f638,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f459,f620]) ).
fof(f659,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,sK20(X0,X5)),unordered_pair(X5,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f437,f638]) ).
fof(f663,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK27(X0,X5),X5),unordered_pair(sK27(X0,X5),sK27(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f454,f638]) ).
fof(f673,plain,
! [X2,X0,X1,X8,X9,X7] :
( in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),X2)
| ~ in(unordered_pair(unordered_pair(X7,X9),unordered_pair(X7,X7)),X0)
| ~ in(unordered_pair(unordered_pair(X9,X8),unordered_pair(X9,X9)),X1)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f469,f638,f638,f638]) ).
fof(f698,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(X0,relation_dom(X2))
| ~ relation(X2) ),
inference(definition_unfolding,[],[f556,f638]) ).
fof(f699,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(X1,relation_rng(X2))
| ~ relation(X2) ),
inference(definition_unfolding,[],[f555,f638]) ).
fof(f752,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,sK20(X0,X5)),unordered_pair(X5,X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f659]) ).
fof(f760,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(sK27(X0,X5),X5),unordered_pair(sK27(X0,X5),sK27(X0,X5))),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f663]) ).
fof(f763,plain,
! [X0,X1,X8,X9,X7] :
( in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),relation_composition(X0,X1))
| ~ in(unordered_pair(unordered_pair(X7,X9),unordered_pair(X7,X7)),X0)
| ~ in(unordered_pair(unordered_pair(X9,X8),unordered_pair(X9,X9)),X1)
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f673]) ).
fof(f778,plain,
! [X0,X1,X8,X9,X7] :
( ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(X7,X9),unordered_pair(X7,X7)),X0)
| ~ in(unordered_pair(unordered_pair(X9,X8),unordered_pair(X9,X9)),X1)
| ~ relation(X1)
| in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),relation_composition(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f763,f484]) ).
fof(f803,plain,
! [X0,X1] :
( in(sK27(X0,X1),relation_dom(X0))
| ~ relation(X0)
| ~ in(X1,relation_rng(X0))
| ~ relation(X0) ),
inference(resolution,[],[f698,f760]) ).
fof(f806,plain,
! [X0,X1] :
( in(sK27(X0,X1),relation_dom(X0))
| ~ relation(X0)
| ~ in(X1,relation_rng(X0)) ),
inference(duplicate_literal_removal,[],[f803]) ).
fof(f807,plain,
! [X0] :
( in(X0,relation_rng(sK46))
| ~ in(X0,relation_dom(sK45)) ),
inference(resolution,[],[f428,f604]) ).
fof(f808,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| in(X0,relation_rng(X2))
| ~ relation(X2)
| ~ in(X0,relation_rng(relation_composition(X1,X2))) ),
inference(resolution,[],[f428,f597]) ).
fof(f813,plain,
! [X0,X1] :
( ~ relation(X1)
| in(X0,relation_rng(X1))
| ~ in(X0,relation_rng(relation_composition(sK46,X1))) ),
inference(resolution,[],[f808,f603]) ).
fof(f815,plain,
! [X0] :
( ~ in(X0,relation_rng(relation_composition(sK46,sK45)))
| in(X0,relation_rng(sK45)) ),
inference(resolution,[],[f813,f602]) ).
fof(f1059,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| in(X0,relation_rng(X2))
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X1,X1)),X2) ),
inference(superposition,[],[f699,f377]) ).
fof(f1061,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| in(X0,relation_dom(X2))
| ~ in(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,X1)),X2) ),
inference(superposition,[],[f698,f377]) ).
fof(f1063,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ in(X0,relation_dom(X1))
| in(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sK20(X1,X0))),X1) ),
inference(superposition,[],[f752,f377]) ).
fof(f1098,plain,
! [X2,X3,X0,X1] :
( ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X3),unordered_pair(X3,X3)),relation_composition(X1,X2))
| ~ relation(X1)
| in(X0,relation_rng(relation_composition(X1,X2))) ),
inference(resolution,[],[f1059,f484]) ).
fof(f1169,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,X1)),sK45)
| in(X0,relation_dom(sK45)) ),
inference(resolution,[],[f1061,f602]) ).
fof(f1182,plain,
! [X0] :
( ~ in(X0,relation_dom(sK45))
| in(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,sK20(sK45,X0))),sK45) ),
inference(resolution,[],[f1063,f602]) ).
fof(f1188,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK27(sK45,X0),sK27(sK45,X0)),unordered_pair(sK27(sK45,X0),sK20(sK45,sK27(sK45,X0)))),sK45)
| ~ relation(sK45)
| ~ in(X0,relation_rng(sK45)) ),
inference(resolution,[],[f1182,f806]) ).
fof(f1189,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK27(sK45,X0),sK27(sK45,X0)),unordered_pair(sK27(sK45,X0),sK20(sK45,sK27(sK45,X0)))),sK45)
| ~ in(X0,relation_rng(sK45)) ),
inference(forward_subsumption_resolution,[],[f1188,f602]) ).
fof(f1347,plain,
! [X0] :
( in(sK16(relation_rng(relation_composition(sK46,sK45)),X0),relation_rng(sK45))
| subset(relation_rng(relation_composition(sK46,sK45)),X0) ),
inference(resolution,[],[f429,f815]) ).
fof(f1360,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X1,X1)),relation_composition(X2,sK45))
| in(X0,relation_rng(relation_composition(X2,sK45))) ),
inference(resolution,[],[f1098,f602]) ).
fof(f1364,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X1,X1)),relation_composition(sK46,sK45))
| in(X0,relation_rng(relation_composition(sK46,sK45))) ),
inference(resolution,[],[f1360,f603]) ).
fof(f1842,plain,
( subset(relation_rng(relation_composition(sK46,sK45)),relation_rng(sK45))
| subset(relation_rng(relation_composition(sK46,sK45)),relation_rng(sK45)) ),
inference(resolution,[],[f430,f1347]) ).
fof(f1850,plain,
subset(relation_rng(relation_composition(sK46,sK45)),relation_rng(sK45)),
inference(duplicate_literal_removal,[],[f1842]) ).
fof(f1874,plain,
( ~ subset(relation_rng(sK45),relation_rng(relation_composition(sK46,sK45)))
| relation_rng(sK45) = relation_rng(relation_composition(sK46,sK45)) ),
inference(resolution,[],[f1850,f382]) ).
fof(f1875,plain,
~ subset(relation_rng(sK45),relation_rng(relation_composition(sK46,sK45))),
inference(forward_subsumption_resolution,[],[f1874,f605]) ).
fof(f2067,plain,
! [X0] :
( in(sK27(sK45,X0),relation_dom(sK45))
| ~ in(X0,relation_rng(sK45)) ),
inference(resolution,[],[f1189,f1169]) ).
fof(f2546,plain,
! [X2,X3,X0,X1] :
( ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK46)
| in(unordered_pair(unordered_pair(X0,X2),unordered_pair(X0,X0)),relation_composition(sK46,X3)) ),
inference(resolution,[],[f778,f603]) ).
fof(f2551,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X2,X0),unordered_pair(X2,X2)),sK46)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK45)
| in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),relation_composition(sK46,sK45)) ),
inference(resolution,[],[f2546,f602]) ).
fof(f2590,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK45)
| in(unordered_pair(unordered_pair(sK27(sK46,X0),X1),unordered_pair(sK27(sK46,X0),sK27(sK46,X0))),relation_composition(sK46,sK45))
| ~ in(X0,relation_rng(sK46))
| ~ relation(sK46) ),
inference(resolution,[],[f2551,f760]) ).
fof(f2597,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK45)
| in(unordered_pair(unordered_pair(sK27(sK46,X0),X1),unordered_pair(sK27(sK46,X0),sK27(sK46,X0))),relation_composition(sK46,sK45))
| ~ in(X0,relation_rng(sK46)) ),
inference(forward_subsumption_resolution,[],[f2590,f603]) ).
fof(f2612,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK27(sK46,sK27(sK45,X0)),X0),unordered_pair(sK27(sK46,sK27(sK45,X0)),sK27(sK46,sK27(sK45,X0)))),relation_composition(sK46,sK45))
| ~ in(sK27(sK45,X0),relation_rng(sK46))
| ~ in(X0,relation_rng(sK45))
| ~ relation(sK45) ),
inference(resolution,[],[f2597,f760]) ).
fof(f2619,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK27(sK46,sK27(sK45,X0)),X0),unordered_pair(sK27(sK46,sK27(sK45,X0)),sK27(sK46,sK27(sK45,X0)))),relation_composition(sK46,sK45))
| ~ in(sK27(sK45,X0),relation_rng(sK46))
| ~ in(X0,relation_rng(sK45)) ),
inference(forward_subsumption_resolution,[],[f2612,f602]) ).
fof(f2621,plain,
! [X0] :
( ~ in(sK27(sK45,X0),relation_rng(sK46))
| in(unordered_pair(unordered_pair(X0,sK27(sK46,sK27(sK45,X0))),unordered_pair(sK27(sK46,sK27(sK45,X0)),sK27(sK46,sK27(sK45,X0)))),relation_composition(sK46,sK45))
| ~ in(X0,relation_rng(sK45)) ),
inference(forward_demodulation,[],[f2619,f377]) ).
fof(f7987,plain,
! [X0] :
( in(unordered_pair(unordered_pair(X0,sK27(sK46,sK27(sK45,X0))),unordered_pair(sK27(sK46,sK27(sK45,X0)),sK27(sK46,sK27(sK45,X0)))),relation_composition(sK46,sK45))
| ~ in(X0,relation_rng(sK45))
| ~ in(sK27(sK45,X0),relation_dom(sK45)) ),
inference(resolution,[],[f2621,f807]) ).
fof(f7988,plain,
! [X0] :
( in(unordered_pair(unordered_pair(X0,sK27(sK46,sK27(sK45,X0))),unordered_pair(sK27(sK46,sK27(sK45,X0)),sK27(sK46,sK27(sK45,X0)))),relation_composition(sK46,sK45))
| ~ in(X0,relation_rng(sK45)) ),
inference(forward_subsumption_resolution,[],[f7987,f2067]) ).
fof(f7993,plain,
! [X0] :
( in(X0,relation_rng(relation_composition(sK46,sK45)))
| ~ in(X0,relation_rng(sK45)) ),
inference(resolution,[],[f7988,f1364]) ).
fof(f8001,plain,
! [X0] :
( ~ in(sK16(X0,relation_rng(relation_composition(sK46,sK45))),relation_rng(sK45))
| subset(X0,relation_rng(relation_composition(sK46,sK45))) ),
inference(resolution,[],[f7993,f430]) ).
fof(f8008,plain,
( subset(relation_rng(sK45),relation_rng(relation_composition(sK46,sK45)))
| subset(relation_rng(sK45),relation_rng(relation_composition(sK46,sK45))) ),
inference(resolution,[],[f8001,f429]) ).
fof(f8010,plain,
subset(relation_rng(sK45),relation_rng(relation_composition(sK46,sK45))),
inference(duplicate_literal_removal,[],[f8008]) ).
fof(f8017,plain,
$false,
inference(forward_subsumption_resolution,[],[f8010,f1875]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU185+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 04:01:48 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 Running first-order theorem proving
% 0.11/0.39 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
% 6.98/2.02 % (3243072)Detected formulas, will run a generic FOF schedule.
% 6.98/2.02 % (3243078)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=2579829296:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.98/2.02 % (3243083)dis-21_1_sil=8000:lcm=predicate:random_seed=905225797: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)
% 6.98/2.02 % (3243079)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=3780079845:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.98/2.02 % (3243081)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1084910758:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.98/2.02 % (3243077)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=2500959438:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.98/2.02 % (3243080)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4009198537:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.98/2.02 % (3243082)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=740315636:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.98/2.02 % (3243080)Instruction limit reached!
% 6.98/2.02 % (3243080)------------------------------
% 6.98/2.02 % (3243080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.02 % (3243080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.02 % (3243080)CaDiCaL version: 2.1.3
% 6.98/2.02 % (3243080)Termination reason: Instruction limit
% 6.98/2.02 % (3243080)Termination phase: Saturation
% 6.98/2.02 % (3243080)Time elapsed: 0.074 s
% 6.98/2.02 % (3243080)Peak memory usage: 90 MB
% 6.98/2.02 % (3243080)Instructions burned: 111 (million)
% 6.98/2.02 % (3243081)Instruction limit reached!
% 6.98/2.02 % (3243081)------------------------------
% 6.98/2.02 % (3243081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.02 % (3243081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.02 % (3243081)CaDiCaL version: 2.1.3
% 6.98/2.02 % (3243081)Termination reason: Instruction limit
% 6.98/2.02 % (3243081)Termination phase: Saturation
% 6.98/2.02 % (3243081)Time elapsed: 0.080 s
% 6.98/2.02 % (3243081)Peak memory usage: 89 MB
% 6.98/2.02 % (3243081)Instructions burned: 121 (million)
% 6.98/2.02 % (3243083)Instruction limit reached!
% 6.98/2.02 % (3243083)------------------------------
% 6.98/2.02 % (3243083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.02 % (3243083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.02 % (3243083)CaDiCaL version: 2.1.3
% 6.98/2.02 % (3243083)Termination reason: Instruction limit
% 6.98/2.02 % (3243083)Termination phase: Saturation
% 6.98/2.02 % (3243083)Time elapsed: 0.084 s
% 6.98/2.02 % (3243083)Peak memory usage: 90 MB
% 6.98/2.02 % (3243083)Instructions burned: 130 (million)
% 6.98/2.02 % (3243082)Instruction limit reached!
% 6.98/2.02 % (3243082)------------------------------
% 6.98/2.02 % (3243082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.02 % (3243082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.02 % (3243082)CaDiCaL version: 2.1.3
% 6.98/2.02 % (3243082)Termination reason: Instruction limit
% 6.98/2.02 % (3243082)Termination phase: Saturation
% 6.98/2.02 % (3243082)Time elapsed: 0.103 s
% 6.98/2.02 % (3243082)Peak memory usage: 90 MB
% 6.98/2.02 % (3243082)Instructions burned: 139 (million)
% 6.98/2.02 % (3243091)lrs+10_1_sil=8000:sp=occurrence:random_seed=3468901370:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.98/2.02 % (3243093)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3683480079:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.98/2.02 % (3243092)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3075531500:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.98/2.02 % (3243094)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=2447451321:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.98/2.02 % (3243092)Instruction limit reached!
% 6.98/2.02 % (3243092)------------------------------
% 6.98/2.02 % (3243092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.02 % (3243092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.02 % (3243092)CaDiCaL version: 2.1.3
% 6.98/2.02 % (3243092)Termination reason: Instruction limit
% 6.98/2.02 % (3243092)Termination phase: Saturation
% 6.98/2.02 % (3243092)Time elapsed: 0.076 s
% 6.98/2.02 % (3243092)Peak memory usage: 91 MB
% 6.98/2.02 % (3243092)Instructions burned: 157 (million)
% 6.98/2.02 % (3243094)Instruction limit reached!
% 6.98/2.02 % (3243094)------------------------------
% 6.98/2.02 % (3243094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.02 % (3243094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.02 % (3243094)CaDiCaL version: 2.1.3
% 6.98/2.02 % (3243094)Termination reason: Instruction limit
% 6.98/2.02 % (3243094)Termination phase: Saturation
% 6.98/2.02 % (3243094)Time elapsed: 0.131 s
% 6.98/2.02 % (3243094)Peak memory usage: 95 MB
% 6.98/2.02 % (3243094)Instructions burned: 248 (million)
% 6.98/2.02 % (3243091)Instruction limit reached!
% 6.98/2.02 % (3243091)------------------------------
% 6.98/2.02 % (3243091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.02 % (3243091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.02 % (3243091)CaDiCaL version: 2.1.3
% 6.98/2.02 % (3243091)Termination reason: Instruction limit
% 6.98/2.02 % (3243091)Termination phase: Saturation
% 6.98/2.02 % (3243091)Time elapsed: 0.182 s
% 6.98/2.02 % (3243091)Peak memory usage: 92 MB
% 6.98/2.02 % (3243091)Instructions burned: 286 (million)
% 6.98/2.02 % (3243093)Instruction limit reached!
% 6.98/2.02 % (3243093)------------------------------
% 6.98/2.02 % (3243093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.02 % (3243093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.02 % (3243093)CaDiCaL version: 2.1.3
% 6.98/2.02 % (3243093)Termination reason: Instruction limit
% 6.98/2.02 % (3243093)Termination phase: Saturation
% 6.98/2.02 % (3243093)Time elapsed: 0.223 s
% 6.98/2.02 % (3243093)Peak memory usage: 92 MB
% 6.98/2.02 % (3243093)Instructions burned: 325 (million)
% 6.98/2.02 % (3243099)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1553660595:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.98/2.02 % (3243101)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1000351070:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.98/2.02 % (3243100)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=660748942:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.98/2.02 % (3243103)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1530698221:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.98/2.02 % (3243101)Instruction limit reached!
% 6.98/2.02 % (3243101)------------------------------
% 6.98/2.02 % (3243101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.02 % (3243101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.02 % (3243101)CaDiCaL version: 2.1.3
% 6.98/2.02 % (3243101)Termination reason: Instruction limit
% 6.98/2.02 % (3243101)Termination phase: Saturation
% 6.98/2.02 % (3243101)Time elapsed: 0.066 s
% 6.98/2.02 % (3243101)Peak memory usage: 89 MB
% 6.98/2.02 % (3243101)Instructions burned: 114 (million)
% 6.98/2.02 % (3243099)Instruction limit reached!
% 6.98/2.02 % (3243099)------------------------------
% 6.98/2.02 % (3243099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.02 % (3243099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.02 % (3243099)CaDiCaL version: 2.1.3
% 6.98/2.02 % (3243099)Termination reason: Instruction limit
% 6.98/2.02 % (3243099)Termination phase: Saturation
% 6.98/2.02 % (3243099)Time elapsed: 0.186 s
% 6.98/2.02 % (3243099)Peak memory usage: 90 MB
% 6.98/2.02 % (3243099)Instructions burned: 295 (million)
% 6.98/2.02 % (3243103)Instruction limit reached!
% 6.98/2.02 % (3243103)------------------------------
% 6.98/2.02 % (3243103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.02 % (3243103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.02 % (3243103)CaDiCaL version: 2.1.3
% 6.98/2.02 % (3243103)Termination reason: Instruction limit
% 6.98/2.02 % (3243103)Termination phase: Saturation
% 6.98/2.02 % (3243103)Time elapsed: 0.063 s
% 6.98/2.02 % (3243103)Peak memory usage: 89 MB
% 6.98/2.02 % (3243103)Instructions burned: 127 (million)
% 6.98/2.02 % (3243107)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4080281263:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.98/2.02 % (3243108)lrs+10_1_sil=8000:sp=occurrence:random_seed=2864643275:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.98/2.02 % (3243109)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4201055085:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.98/2.02 % (3243078)First to succeed.
% 6.98/2.02 % (3243078)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3243072"
% 6.98/2.02 % (3243107)Instruction limit reached!
% 6.98/2.02 % (3243107)------------------------------
% 6.98/2.02 % (3243107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.98/2.02 % (3243107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/2.02 % (3243107)CaDiCaL version: 2.1.3
% 6.98/2.02 % (3243107)Termination reason: Instruction limit
% 6.98/2.02 % (3243107)Termination phase: Saturation
% 6.98/2.02 % (3243107)Time elapsed: 0.071 s
% 6.98/2.02 % (3243107)Peak memory usage: 89 MB
% 6.98/2.02 % (3243107)Instructions burned: 115 (million)
% 6.98/2.02 % (3243078)Refutation found. Thanks to Tanya!
% 6.98/2.02 % SZS status Theorem for theBenchmark
% 6.98/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 8.81/2.12 % (3243078)------------------------------
% 8.81/2.12 % (3243078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.81/2.12 % (3243078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.81/2.12 % (3243078)CaDiCaL version: 2.1.3
% 8.81/2.12 % (3243078)Termination reason: Refutation
% 8.81/2.12 % (3243078)Time elapsed: 0.897 s
% 8.81/2.12 % (3243078)Peak memory usage: 141 MB
% 8.81/2.12 % (3243078)Instructions burned: 2285 (million)
% 8.81/2.12 % (3243078)------------------------------
% 8.81/2.12 % (3243078)------------------------------
% 8.81/2.12 % (3243072)Success in time 1.188 s
% 8.81/2.12 % Vampire exiting
%------------------------------------------------------------------------------