%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU202+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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:52:21 PM UTC 2026
% Result : Theorem 34.68s 5.33s
% Output : Refutation 34.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 12
% Syntax : Number of formulae : 146 ( 28 unt; 4 def)
% Number of atoms : 569 ( 75 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 734 ( 311 ~; 346 |; 55 &)
% ( 12 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-3 aty)
% Number of variables : 339 ( 320 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( relation(X2)
=> ( X2 = relation_dom_restriction(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_relat_1) ).
fof(f5,axiom,
! [X0,X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( X2 = relation_rng_restriction(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_1) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( X0 = X1
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X0)
<=> in(ordered_pair(X2,X3),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_relat_1) ).
fof(f7,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f12,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f13,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f25,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t140_relat_1) ).
fof(f26,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1)) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f34,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_dom_restriction(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) ) ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f35,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = relation_rng_restriction(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) ) ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X0)
<=> in(ordered_pair(X2,X3),X1) ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f38,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f39,plain,
? [X0,X1,X2] :
( relation_dom_restriction(relation_rng_restriction(X0,X2),X1) != relation_rng_restriction(X0,relation_dom_restriction(X2,X1))
& relation(X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f46,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = relation_dom_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0) )
& ( ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_dom_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f34]) ).
fof(f47,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = relation_dom_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0) )
& ( ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_dom_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = relation_dom_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0) )
& ( ( in(X5,X1)
& in(ordered_pair(X5,X6),X0) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_dom_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(rectify,[],[f47]) ).
fof(f49,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = relation_dom_restriction(X0,X1)
| ( ( ~ in(sK0(X0,X1,X2),X1)
| ~ in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X0)
| ~ in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X2) )
& ( ( in(sK0(X0,X1,X2),X1)
& in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X0) )
| in(ordered_pair(sK0(X0,X1,X2),sK1(X0,X1,X2)),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0) )
& ( ( in(X5,X1)
& in(ordered_pair(X5,X6),X0) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_dom_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X3,sK0(X0,X1,X2)),skolemize(X4,sK1(X0,X1,X2))],[f48]) ).
fof(f50,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = relation_rng_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(nnf_transformation,[],[f35]) ).
fof(f51,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = relation_rng_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = relation_rng_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(X6,X0)
| ~ in(ordered_pair(X5,X6),X1) )
& ( ( in(X6,X0)
& in(ordered_pair(X5,X6),X1) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(rectify,[],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = relation_rng_restriction(X0,X1)
| ( ( ~ in(sK3(X0,X1,X2),X0)
| ~ in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X2) )
& ( ( in(sK3(X0,X1,X2),X0)
& in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X1) )
| in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(X6,X0)
| ~ in(ordered_pair(X5,X6),X1) )
& ( ( in(X6,X0)
& in(ordered_pair(X5,X6),X1) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X3,sK2(X0,X1,X2)),skolemize(X4,sK3(X0,X1,X2))],[f52]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ? [X2,X3] :
( ( ~ in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X2,X3),X0) )
& ( in(ordered_pair(X2,X3),X1)
| in(ordered_pair(X2,X3),X0) ) ) )
& ( ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X2,X3),X1) )
& ( in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X2,X3),X0) ) )
| X0 != X1 ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f36]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ? [X2,X3] :
( ( ~ in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X2,X3),X0) )
& ( in(ordered_pair(X2,X3),X1)
| in(ordered_pair(X2,X3),X0) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X0)
| ~ in(ordered_pair(X4,X5),X1) )
& ( in(ordered_pair(X4,X5),X1)
| ~ in(ordered_pair(X4,X5),X0) ) )
| X0 != X1 ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(rectify,[],[f54]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ( ( ~ in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X1)
| ~ in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0) )
& ( in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X1)
| in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0) ) ) )
& ( ! [X4,X5] :
( ( in(ordered_pair(X4,X5),X0)
| ~ in(ordered_pair(X4,X5),X1) )
& ( in(ordered_pair(X4,X5),X1)
| ~ in(ordered_pair(X4,X5),X0) ) )
| X0 != X1 ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X2,sK4(X0,X1)),skolemize(X3,sK5(X0,X1))],[f55]) ).
fof(f62,plain,
( relation_dom_restriction(relation_rng_restriction(sK11,sK13),sK12) != relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12))
& relation(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13)],[f39]) ).
fof(f65,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f66,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X0)
| ~ in(ordered_pair(X5,X6),X2)
| relation_dom_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f67,plain,
! [X2,X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X2)
| relation_dom_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f68,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X2)
| ~ in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f72,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X1)
| ~ in(ordered_pair(X5,X6),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f73,plain,
! [X2,X0,X1,X6,X5] :
( in(X6,X0)
| ~ in(ordered_pair(X5,X6),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f74,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X2)
| ~ in(X6,X0)
| ~ in(ordered_pair(X5,X6),X1)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f80,plain,
! [X0,X1] :
( X0 = X1
| in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X1)
| in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f81,plain,
! [X0,X1] :
( X0 = X1
| ~ in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X1)
| ~ in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f82,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f83,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f84,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f98,plain,
relation(sK13),
inference(cnf_transformation,[],[f62]) ).
fof(f99,plain,
relation_dom_restriction(relation_rng_restriction(sK11,sK13),sK12) != relation_rng_restriction(sK11,relation_dom_restriction(sK13,sK12)),
inference(cnf_transformation,[],[f62]) ).
fof(f108,plain,
! [X2,X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X2)
| ~ in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| relation_dom_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f68,f82,f82]) ).
fof(f109,plain,
! [X2,X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X2)
| relation_dom_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f67,f82]) ).
fof(f110,plain,
! [X2,X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X2)
| relation_dom_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f66,f82,f82]) ).
fof(f114,plain,
! [X2,X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X2)
| ~ in(X6,X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X1)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f74,f82,f82]) ).
fof(f115,plain,
! [X2,X0,X1,X6,X5] :
( in(X6,X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f73,f82]) ).
fof(f116,plain,
! [X2,X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f72,f82,f82]) ).
fof(f117,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(sK4(X0,X1),sK5(X0,X1)),singleton(sK4(X0,X1))),X1)
| X0 = X1
| ~ in(unordered_pair(unordered_pair(sK4(X0,X1),sK5(X0,X1)),singleton(sK4(X0,X1))),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f81,f82,f82]) ).
fof(f118,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(sK4(X0,X1),sK5(X0,X1)),singleton(sK4(X0,X1))),X1)
| in(unordered_pair(unordered_pair(sK4(X0,X1),sK5(X0,X1)),singleton(sK4(X0,X1))),X0)
| X0 = X1
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f80,f82,f82]) ).
fof(f122,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_dom_restriction(X0,X1))
| ~ in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f108]) ).
fof(f123,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_dom_restriction(X0,X1))
| ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f109]) ).
fof(f124,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_dom_restriction(X0,X1))
| ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f110]) ).
fof(f125,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_rng_restriction(X0,X1))
| ~ in(X6,X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X1)
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f114]) ).
fof(f126,plain,
! [X0,X1,X6,X5] :
( in(X6,X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_rng_restriction(X0,X1))
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f127,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_rng_restriction(X0,X1))
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f116]) ).
fof(f130,definition,
sF14 = relation_rng_restriction(sK11,sK13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f131,plain,
relation_rng_restriction(sK11,sK13) = sF14,
inference(reorient_equations,[],[f130]) ).
fof(f132,definition,
sF15 = relation_dom_restriction(sF14,sK12),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f133,plain,
relation_dom_restriction(sF14,sK12) = sF15,
inference(reorient_equations,[],[f132]) ).
fof(f134,definition,
sF16 = relation_dom_restriction(sK13,sK12),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f135,plain,
relation_dom_restriction(sK13,sK12) = sF16,
inference(reorient_equations,[],[f134]) ).
fof(f136,definition,
sF17 = relation_rng_restriction(sK11,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f137,plain,
relation_rng_restriction(sK11,sF16) = sF17,
inference(reorient_equations,[],[f136]) ).
fof(f138,plain,
sF15 != sF17,
inference(definition_folding,[],[f99,f137,f135,f133,f131]) ).
fof(f141,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(forward_subsumption_resolution,[],[f127,f84]) ).
fof(f142,plain,
! [X0,X1,X6,X5] :
( in(X6,X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(forward_subsumption_resolution,[],[f126,f84]) ).
fof(f143,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_rng_restriction(X0,X1))
| ~ in(X6,X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X1)
| ~ relation(X1) ),
inference(forward_subsumption_resolution,[],[f125,f84]) ).
fof(f144,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f124,f83]) ).
fof(f145,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f123,f83]) ).
fof(f146,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_dom_restriction(X0,X1))
| ~ in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f122,f83]) ).
fof(f147,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(singleton(X5),unordered_pair(X5,X6)),X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(forward_demodulation,[],[f141,f65]) ).
fof(f148,plain,
! [X0,X1,X6,X5] :
( ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X6)),relation_rng_restriction(X0,X1))
| in(X6,X0)
| ~ relation(X1) ),
inference(forward_demodulation,[],[f142,f65]) ).
fof(f149,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(singleton(X5),unordered_pair(X5,X6)),relation_rng_restriction(X0,X1))
| ~ in(X6,X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X1)
| ~ relation(X1) ),
inference(forward_demodulation,[],[f143,f65]) ).
fof(f150,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(singleton(X5),unordered_pair(X5,X6)),X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(forward_demodulation,[],[f144,f65]) ).
fof(f151,plain,
! [X0,X1,X6,X5] :
( ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X6)),relation_dom_restriction(X0,X1))
| in(X5,X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f145,f65]) ).
fof(f152,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(singleton(X5),unordered_pair(X5,X6)),relation_dom_restriction(X0,X1))
| ~ in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f146,f65]) ).
fof(f153,plain,
! [X0,X1,X6,X5] :
( ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X6)),relation_rng_restriction(X0,X1))
| in(unordered_pair(singleton(X5),unordered_pair(X5,X6)),X1)
| ~ relation(X1) ),
inference(forward_demodulation,[],[f147,f65]) ).
fof(f154,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(singleton(X5),unordered_pair(X5,X6)),relation_rng_restriction(X0,X1))
| ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X6)),X1)
| ~ in(X6,X0)
| ~ relation(X1) ),
inference(forward_demodulation,[],[f149,f65]) ).
fof(f155,plain,
! [X0,X1,X6,X5] :
( ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X6)),relation_dom_restriction(X0,X1))
| in(unordered_pair(singleton(X5),unordered_pair(X5,X6)),X0)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f150,f65]) ).
fof(f156,plain,
! [X0,X1,X6,X5] :
( in(unordered_pair(singleton(X5),unordered_pair(X5,X6)),relation_dom_restriction(X0,X1))
| ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X6)),X0)
| ~ in(X5,X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f152,f65]) ).
fof(f167,plain,
( ~ relation(sF14)
| relation(sF15) ),
inference(superposition,[],[f83,f133]) ).
fof(f168,plain,
( relation(sF16)
| ~ relation(sK13) ),
inference(superposition,[],[f83,f135]) ).
fof(f169,plain,
relation(sF16),
inference(forward_subsumption_resolution,[],[f168,f98]) ).
fof(f170,plain,
( relation(sF14)
| ~ relation(sK13) ),
inference(superposition,[],[f84,f131]) ).
fof(f171,plain,
( relation(sF17)
| ~ relation(sF16) ),
inference(superposition,[],[f84,f137]) ).
fof(f172,plain,
relation(sF17),
inference(forward_subsumption_resolution,[],[f171,f169]) ).
fof(f173,plain,
relation(sF14),
inference(forward_subsumption_resolution,[],[f170,f98]) ).
fof(f181,plain,
relation(sF15),
inference(resolution,[],[f167,f173]) ).
fof(f185,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF14)
| in(X1,sK11)
| ~ relation(sK13) ),
inference(superposition,[],[f148,f131]) ).
fof(f186,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF17)
| in(X1,sK11)
| ~ relation(sF16) ),
inference(superposition,[],[f148,f137]) ).
fof(f187,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF17)
| in(X1,sK11) ),
inference(forward_subsumption_resolution,[],[f186,f169]) ).
fof(f188,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF14)
| in(X1,sK11) ),
inference(forward_subsumption_resolution,[],[f185,f98]) ).
fof(f193,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF15)
| in(X0,sK12)
| ~ relation(sF14) ),
inference(superposition,[],[f151,f133]) ).
fof(f194,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16)
| in(X0,sK12)
| ~ relation(sK13) ),
inference(superposition,[],[f151,f135]) ).
fof(f195,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16)
| in(X0,sK12) ),
inference(forward_subsumption_resolution,[],[f194,f98]) ).
fof(f196,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF15)
| in(X0,sK12) ),
inference(forward_subsumption_resolution,[],[f193,f173]) ).
fof(f201,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF14)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK13)
| ~ relation(sK13) ),
inference(superposition,[],[f153,f131]) ).
fof(f202,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF17)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16)
| ~ relation(sF16) ),
inference(superposition,[],[f153,f137]) ).
fof(f203,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF17)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16) ),
inference(forward_subsumption_resolution,[],[f202,f169]) ).
fof(f204,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF14)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK13) ),
inference(forward_subsumption_resolution,[],[f201,f98]) ).
fof(f209,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF15)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF14)
| ~ relation(sF14) ),
inference(superposition,[],[f155,f133]) ).
fof(f210,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK13)
| ~ relation(sK13) ),
inference(superposition,[],[f155,f135]) ).
fof(f211,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK13) ),
inference(forward_subsumption_resolution,[],[f210,f98]) ).
fof(f212,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF15)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF14) ),
inference(forward_subsumption_resolution,[],[f209,f173]) ).
fof(f222,plain,
! [X0,X1] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF14)
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK13)
| ~ in(X1,sK11)
| ~ relation(sK13) ),
inference(superposition,[],[f154,f131]) ).
fof(f223,plain,
! [X0,X1] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF17)
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16)
| ~ in(X1,sK11)
| ~ relation(sF16) ),
inference(superposition,[],[f154,f137]) ).
fof(f226,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF17)
| ~ in(X1,sK11) ),
inference(forward_subsumption_resolution,[],[f223,f169]) ).
fof(f227,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK13)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF14)
| ~ in(X1,sK11) ),
inference(forward_subsumption_resolution,[],[f222,f98]) ).
fof(f237,plain,
! [X0,X1] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF15)
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF14)
| ~ in(X0,sK12)
| ~ relation(sF14) ),
inference(superposition,[],[f156,f133]) ).
fof(f238,plain,
! [X0,X1] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16)
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK13)
| ~ in(X0,sK12)
| ~ relation(sK13) ),
inference(superposition,[],[f156,f135]) ).
fof(f241,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK13)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16)
| ~ in(X0,sK12) ),
inference(forward_subsumption_resolution,[],[f238,f98]) ).
fof(f242,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF14)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF15)
| ~ in(X0,sK12) ),
inference(forward_subsumption_resolution,[],[f237,f173]) ).
fof(f266,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(sK4(X0,X1)),unordered_pair(sK4(X0,X1),sK5(X0,X1))),X1)
| X0 = X1
| ~ in(unordered_pair(singleton(sK4(X0,X1)),unordered_pair(sK4(X0,X1),sK5(X0,X1))),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(superposition,[],[f117,f65]) ).
fof(f280,plain,
! [X0,X1] :
( in(unordered_pair(singleton(sK4(X0,X1)),unordered_pair(sK4(X0,X1),sK5(X0,X1))),X1)
| in(unordered_pair(singleton(sK4(X0,X1)),unordered_pair(sK4(X0,X1),sK5(X0,X1))),X0)
| X0 = X1
| ~ relation(X1)
| ~ relation(X0) ),
inference(superposition,[],[f118,f65]) ).
fof(f1071,plain,
! [X0] :
( in(unordered_pair(singleton(sK4(X0,sF17)),unordered_pair(sK4(X0,sF17),sK5(X0,sF17))),X0)
| sF17 = X0
| ~ relation(sF17)
| ~ relation(X0)
| in(sK5(X0,sF17),sK11) ),
inference(resolution,[],[f280,f187]) ).
fof(f1086,plain,
! [X0] :
( in(unordered_pair(singleton(sK4(sF15,X0)),unordered_pair(sK4(sF15,X0),sK5(sF15,X0))),X0)
| sF15 = X0
| ~ relation(X0)
| ~ relation(sF15)
| in(unordered_pair(singleton(sK4(sF15,X0)),unordered_pair(sK4(sF15,X0),sK5(sF15,X0))),sF14) ),
inference(resolution,[],[f280,f212]) ).
fof(f1087,plain,
! [X0] :
( in(unordered_pair(singleton(sK4(sF15,X0)),unordered_pair(sK4(sF15,X0),sK5(sF15,X0))),X0)
| sF15 = X0
| ~ relation(X0)
| ~ relation(sF15)
| in(sK4(sF15,X0),sK12) ),
inference(resolution,[],[f280,f196]) ).
fof(f1108,plain,
! [X0] :
( in(unordered_pair(singleton(sK4(sF15,X0)),unordered_pair(sK4(sF15,X0),sK5(sF15,X0))),X0)
| sF15 = X0
| ~ relation(X0)
| in(sK4(sF15,X0),sK12) ),
inference(forward_subsumption_resolution,[],[f1087,f181]) ).
fof(f1109,plain,
! [X0] :
( in(unordered_pair(singleton(sK4(sF15,X0)),unordered_pair(sK4(sF15,X0),sK5(sF15,X0))),sF14)
| in(unordered_pair(singleton(sK4(sF15,X0)),unordered_pair(sK4(sF15,X0),sK5(sF15,X0))),X0)
| ~ relation(X0)
| sF15 = X0 ),
inference(forward_subsumption_resolution,[],[f1086,f181]) ).
fof(f1119,plain,
! [X0] :
( in(unordered_pair(singleton(sK4(X0,sF17)),unordered_pair(sK4(X0,sF17),sK5(X0,sF17))),X0)
| sF17 = X0
| ~ relation(X0)
| in(sK5(X0,sF17),sK11) ),
inference(forward_subsumption_resolution,[],[f1071,f172]) ).
fof(f2441,plain,
( sF15 = sF17
| ~ relation(sF17)
| in(sK4(sF15,sF17),sK12)
| in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF16) ),
inference(resolution,[],[f1108,f203]) ).
fof(f2452,plain,
( ~ relation(sF17)
| in(sK4(sF15,sF17),sK12)
| in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF16) ),
inference(forward_subsumption_resolution,[],[f2441,f138]) ).
fof(f2466,plain,
( in(sK4(sF15,sF17),sK12)
| in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF16) ),
inference(forward_subsumption_resolution,[],[f2452,f172]) ).
fof(f2467,plain,
in(sK4(sF15,sF17),sK12),
inference(forward_subsumption_resolution,[],[f2466,f195]) ).
fof(f2530,plain,
( sF15 = sF17
| ~ relation(sF15)
| in(sK5(sF15,sF17),sK11)
| in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF14) ),
inference(resolution,[],[f1119,f212]) ).
fof(f2547,plain,
( ~ relation(sF15)
| in(sK5(sF15,sF17),sK11)
| in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF14) ),
inference(forward_subsumption_resolution,[],[f2530,f138]) ).
fof(f2554,plain,
( in(sK5(sF15,sF17),sK11)
| in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF14) ),
inference(forward_subsumption_resolution,[],[f2547,f181]) ).
fof(f2555,plain,
in(sK5(sF15,sF17),sK11),
inference(forward_subsumption_resolution,[],[f2554,f188]) ).
fof(f3912,plain,
( in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF14)
| ~ relation(sF17)
| sF15 = sF17
| in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF16) ),
inference(resolution,[],[f1109,f203]) ).
fof(f3923,plain,
( in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF14)
| sF15 = sF17
| in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF16) ),
inference(forward_subsumption_resolution,[],[f3912,f172]) ).
fof(f3935,plain,
( in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF16)
| in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF14) ),
inference(forward_subsumption_resolution,[],[f3923,f138]) ).
fof(f53171,plain,
( in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF14)
| in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sK13) ),
inference(resolution,[],[f3935,f211]) ).
fof(f53188,plain,
in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sK13),
inference(forward_subsumption_resolution,[],[f53171,f204]) ).
fof(f53193,plain,
( in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF16)
| ~ in(sK4(sF15,sF17),sK12) ),
inference(resolution,[],[f53188,f241]) ).
fof(f53194,plain,
( in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF14)
| ~ in(sK5(sF15,sF17),sK11) ),
inference(resolution,[],[f53188,f227]) ).
fof(f53210,plain,
in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF14),
inference(forward_subsumption_resolution,[],[f53194,f2555]) ).
fof(f53211,plain,
in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF16),
inference(forward_subsumption_resolution,[],[f53193,f2467]) ).
fof(f53490,plain,
( in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF15)
| ~ in(sK4(sF15,sF17),sK12) ),
inference(resolution,[],[f53210,f242]) ).
fof(f53508,plain,
in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF15),
inference(forward_subsumption_resolution,[],[f53490,f2467]) ).
fof(f53698,plain,
( in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF17)
| ~ in(sK5(sF15,sF17),sK11) ),
inference(resolution,[],[f53211,f226]) ).
fof(f53716,plain,
in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF17),
inference(forward_subsumption_resolution,[],[f53698,f2555]) ).
fof(f54608,plain,
( sF15 = sF17
| ~ in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF15)
| ~ relation(sF17)
| ~ relation(sF15) ),
inference(resolution,[],[f53716,f266]) ).
fof(f54627,plain,
( ~ in(unordered_pair(singleton(sK4(sF15,sF17)),unordered_pair(sK4(sF15,sF17),sK5(sF15,sF17))),sF15)
| ~ relation(sF17)
| ~ relation(sF15) ),
inference(forward_subsumption_resolution,[],[f54608,f138]) ).
fof(f54628,plain,
( ~ relation(sF17)
| ~ relation(sF15) ),
inference(forward_subsumption_resolution,[],[f54627,f53508]) ).
fof(f54629,plain,
~ relation(sF15),
inference(forward_subsumption_resolution,[],[f54628,f172]) ).
fof(f54630,plain,
$false,
inference(forward_subsumption_resolution,[],[f54629,f181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU202+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Mon Sep 28 04:01:47 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.40 Running first-order model finding
% 0.08/0.40 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
% 13.37/2.35 % (422144)Will run a generic schedule for satisfiability detection.
% 13.37/2.35 % (422154)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=64206652:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.37/2.35 % (422149)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1864003623_2999 on theBenchmark for (2999ds/0Mi)
% 13.37/2.35 % (422155)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=920134766:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.37/2.35 % (422151)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=419766067:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.37/2.35 % (422152)dis+10_1_sil=32000:sp=arity:random_seed=2122690955:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.37/2.35 % (422153)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1287923329:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.37/2.35 % (422150)% WARNING: option uhcvi not known.
% 13.37/2.35 % (422150)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1091843749:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.37/2.35 % TRYING [1]
% 13.37/2.35 % TRYING [2]
% 13.37/2.35 % TRYING [3]
% 13.37/2.35 % (422154)Instruction limit reached!
% 13.37/2.35 % (422154)------------------------------
% 13.37/2.35 % (422154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.35 % (422154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/2.35 % (422154)CaDiCaL version: 2.1.3
% 13.37/2.35 % (422154)Termination reason: Instruction limit
% 13.37/2.35 % (422154)Termination phase: Saturation
% 13.37/2.35 % (422154)Time elapsed: 0.039 s
% 13.37/2.35 % (422154)Peak memory usage: 13 MB
% 13.37/2.35 % (422154)Instructions burned: 133 (million)
% 13.37/2.35 % (422163)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=370928223:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.37/2.35 % TRYING [1]
% 13.37/2.35 % TRYING [2]
% 13.37/2.35 % TRYING [3]
% 13.37/2.35 % (422152)Instruction limit reached!
% 13.37/2.35 % (422152)------------------------------
% 13.37/2.35 % (422152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.35 % (422152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/2.35 % (422152)CaDiCaL version: 2.1.3
% 13.37/2.35 % (422152)Termination reason: Instruction limit
% 13.37/2.35 % (422152)Termination phase: Saturation
% 13.37/2.35 % (422152)Time elapsed: 0.063 s
% 13.37/2.35 % (422152)Peak memory usage: 12 MB
% 13.37/2.35 % (422152)Instructions burned: 104 (million)
% 13.37/2.35 % (422153)Instruction limit reached!
% 13.37/2.35 % (422153)------------------------------
% 13.37/2.35 % (422153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.35 % (422153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/2.35 % (422153)CaDiCaL version: 2.1.3
% 13.37/2.35 % (422153)Termination reason: Instruction limit
% 13.37/2.35 % (422153)Termination phase: Saturation
% 13.37/2.35 % (422153)Time elapsed: 0.073 s
% 13.37/2.35 % (422153)Peak memory usage: 12 MB
% 13.37/2.35 % (422153)Instructions burned: 117 (million)
% 13.37/2.35 % (422165)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1371064035:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.37/2.35 % TRYING [4]
% 13.37/2.35 % (422166)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=4279177446:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.37/2.35 % (422155)Instruction limit reached!
% 13.37/2.35 % (422155)------------------------------
% 13.37/2.35 % (422155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.35 % (422155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/2.35 % (422155)CaDiCaL version: 2.1.3
% 13.37/2.35 % (422155)Termination reason: Instruction limit
% 13.37/2.35 % (422155)Termination phase: Saturation
% 13.37/2.35 % (422155)Time elapsed: 0.094 s
% 13.37/2.35 % (422155)Peak memory usage: 13 MB
% 13.37/2.35 % (422155)Instructions burned: 159 (million)
% 13.37/2.35 % (422169)ott-21_1_sil=16000:fs=off:random_seed=3949054735:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.37/2.35 % TRYING [4]
% 13.37/2.35 % (422165)Instruction limit reached!
% 13.37/2.35 % (422165)------------------------------
% 13.37/2.35 % (422165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.35 % (422165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.68/5.33 % (422165)CaDiCaL version: 2.1.3
% 34.68/5.33 % (422165)Termination reason: Instruction limit
% 34.68/5.33 % (422165)Termination phase: Saturation
% 34.68/5.33 % (422165)Time elapsed: 0.075 s
% 34.68/5.33 % (422165)Peak memory usage: 13 MB
% 34.68/5.33 % (422165)Instructions burned: 132 (million)
% 34.68/5.33 % (422171)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3454603105:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 34.68/5.33 % (422169)Instruction limit reached!
% 34.68/5.33 % (422169)------------------------------
% 34.68/5.33 % (422169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.68/5.33 % (422169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.68/5.33 % (422169)CaDiCaL version: 2.1.3
% 34.68/5.33 % (422169)Termination reason: Instruction limit
% 34.68/5.33 % (422169)Termination phase: Saturation
% 34.68/5.33 % (422169)Time elapsed: 0.097 s
% 34.68/5.33 % (422169)Peak memory usage: 12 MB
% 34.68/5.33 % (422169)Instructions burned: 181 (million)
% 34.68/5.33 % (422173)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3550542940:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 34.68/5.33 % TRYING [1]
% 34.68/5.33 % TRYING [2]
% 34.68/5.33 % TRYING [3]
% 34.68/5.33 % (422163)Instruction limit reached!
% 34.68/5.33 % (422163)------------------------------
% 34.68/5.33 % (422163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.68/5.33 % (422163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.68/5.33 % (422163)CaDiCaL version: 2.1.3
% 34.68/5.33 % (422163)Termination reason: Instruction limit
% 34.68/5.33 % (422163)Termination phase: Finite model building SAT solving
% 34.68/5.33 % (422163)Time elapsed: 0.211 s
% 34.68/5.33 % (422163)Peak memory usage: 28 MB
% 34.68/5.33 % (422163)Instructions burned: 715 (million)
% 34.68/5.33 % (422175)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=591842666:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 34.68/5.33 % TRYING [4]
% 34.68/5.33 % (422166)Instruction limit reached!
% 34.68/5.33 % (422166)------------------------------
% 34.68/5.33 % (422166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.68/5.33 % (422166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.68/5.33 % (422166)CaDiCaL version: 2.1.3
% 34.68/5.33 % (422166)Termination reason: Instruction limit
% 34.68/5.33 % (422166)Termination phase: Saturation
% 34.68/5.33 % (422166)Time elapsed: 0.383 s
% 34.68/5.33 % (422166)Peak memory usage: 16 MB
% 34.68/5.33 % (422166)Instructions burned: 685 (million)
% 34.68/5.33 % (422177)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1279128784:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 34.68/5.33 % (422171)Instruction limit reached!
% 34.68/5.33 % (422171)------------------------------
% 34.68/5.33 % (422171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.68/5.33 % (422171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.68/5.33 % (422171)CaDiCaL version: 2.1.3
% 34.68/5.33 % (422171)Termination reason: Instruction limit
% 34.68/5.33 % (422171)Termination phase: Saturation
% 34.68/5.33 % (422171)Time elapsed: 0.321 s
% 34.68/5.33 % (422171)Peak memory usage: 13 MB
% 34.68/5.33 % (422171)Instructions burned: 477 (million)
% 34.68/5.33 % (422179)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=723652828: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)
% 34.68/5.33 % (422173)Instruction limit reached!
% 34.68/5.33 % (422173)------------------------------
% 34.68/5.33 % (422173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.68/5.33 % (422173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.68/5.33 % (422173)CaDiCaL version: 2.1.3
% 34.68/5.33 % (422173)Termination reason: Instruction limit
% 34.68/5.33 % (422173)Termination phase: Finite model building SAT solving
% 34.68/5.33 % (422173)Time elapsed: 0.343 s
% 34.68/5.33 % (422173)Peak memory usage: 27 MB
% 34.68/5.33 % (422173)Instructions burned: 865 (million)
% 34.68/5.33 % (422181)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=229520873:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 34.68/5.33 % (422175)Instruction limit reached!
% 34.68/5.33 % (422175)------------------------------
% 34.68/5.33 % (422175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.68/5.33 % (422175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.68/5.33 % (422175)CaDiCaL version: 2.1.3
% 34.68/5.33 % (422175)Termination reason: Instruction limit
% 34.68/5.33 % (422175)Termination phase: Saturation
% 34.68/5.33 % (422175)Time elapsed: 0.353 s
% 34.68/5.33 % (422175)Peak memory usage: 20 MB
% 34.68/5.33 % (422175)Instructions burned: 1182 (million)
% 34.68/5.33 % (422183)fmb+10_1_sil=64000:random_seed=3764889395:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 34.68/5.33 % TRYING [1]
% 34.68/5.33 % TRYING [2]
% 34.68/5.33 % TRYING [3]
% 34.68/5.33 % TRYING [4]
% 34.68/5.33 % (422177)Instruction limit reached!
% 34.68/5.33 % (422177)------------------------------
% 34.68/5.33 % (422177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.68/5.33 % (422177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.68/5.33 % (422177)CaDiCaL version: 2.1.3
% 34.68/5.33 % (422177)Termination reason: Instruction limit
% 34.68/5.33 % (422177)Termination phase: Finite model building constraint generation
% 34.68/5.33 % (422177)Time elapsed: 0.407 s
% 34.68/5.33 % (422177)Peak memory usage: 107 MB
% 34.68/5.33 % (422177)Instructions burned: 889 (million)
% 34.68/5.33 % (422179)Instruction limit reached!
% 34.68/5.33 % (422179)------------------------------
% 34.68/5.33 % (422179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.68/5.33 % (422179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.68/5.33 % (422179)CaDiCaL version: 2.1.3
% 34.68/5.33 % (422179)Termination reason: Instruction limit
% 34.68/5.33 % (422179)Termination phase: Saturation
% 34.68/5.33 % (422179)Time elapsed: 0.386 s
% 34.68/5.33 % (422179)Peak memory usage: 21 MB
% 34.68/5.33 % (422179)Instructions burned: 692 (million)
% 34.68/5.33 % (422185)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3005624376:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 34.68/5.33 % (422186)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3914070366:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 34.68/5.33 % TRYING [20]
% 34.68/5.33 % TRYING [8]
% 34.68/5.33 % (422181)Instruction limit reached!
% 34.68/5.33 % (422181)------------------------------
% 34.68/5.33 % (422181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.68/5.33 % (422181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.68/5.33 % (422181)CaDiCaL version: 2.1.3
% 34.68/5.33 % (422181)Termination reason: Instruction limit
% 34.68/5.33 % (422181)Termination phase: Saturation
% 34.68/5.33 % (422181)Time elapsed: 0.482 s
% 34.68/5.33 % (422181)Peak memory usage: 19 MB
% 34.68/5.33 % (422181)Instructions burned: 880 (million)
% 34.68/5.33 % (422189)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1299278566:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 34.68/5.33 % (422186)Instruction limit reached!
% 34.68/5.33 % (422186)------------------------------
% 34.68/5.33 % (422186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.68/5.33 % (422186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.68/5.33 % (422186)CaDiCaL version: 2.1.3
% 34.68/5.33 % (422186)Termination reason: Instruction limit
% 34.68/5.33 % (422186)Termination phase: Finite model building constraint generation
% 34.68/5.33 % (422186)Time elapsed: 0.307 s
% 34.68/5.33 % (422186)Peak memory usage: 62 MB
% 34.68/5.33 % (422186)Instructions burned: 922 (million)
% 34.68/5.33 % (422191)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2125899909:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 34.68/5.33 % (422191)Instruction limit reached!
% 34.68/5.33 % (422191)------------------------------
% 34.68/5.33 % (422191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.68/5.33 % (422191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.68/5.33 % (422191)CaDiCaL version: 2.1.3
% 34.68/5.33 % (422191)Termination reason: Instruction limit
% 34.68/5.33 % (422191)Termination phase: Saturation
% 34.68/5.33 % (422191)Time elapsed: 0.606 s
% 34.68/5.33 % (422191)Peak memory usage: 21 MB
% 34.68/5.33 % (422191)Instructions burned: 1475 (million)
% 34.68/5.33 % (422193)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4109938964:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 34.68/5.33 % (422193)Cannot represent all propositional literals internally
% 34.68/5.33 % (422193)Refutation not found, incomplete strategy
% 34.68/5.33 % (422193)------------------------------
% 34.68/5.33 % (422193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.68/5.33 % (422193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.68/5.33 % (422193)CaDiCaL version: 2.1.3
% 34.68/5.33 % (422193)Termination reason: Refutation not found, incomplete strategy
% 34.68/5.33 % (422193)Time elapsed: 0.008 s
% 34.68/5.33 % (422193)Peak memory usage: 11 MB
% 34.68/5.33 % (422193)Instructions burned: 15 (million)
% 34.68/5.33 % (422193)------------------------------
% 34.68/5.33 % (422193)------------------------------
% 34.68/5.33 % (422195)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3085304907:fmbsr=2.30978:i=2174_2980 on theBenchmark for (2980ds/2174Mi)
% 34.68/5.33 % TRYING [16]
% 34.68/5.33 % (422195)Instruction limit reached!
% 34.68/5.33 % (422195)------------------------------
% 34.68/5.33 % (422195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.68/5.33 % (422195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.68/5.33 % (422195)CaDiCaL version: 2.1.3
% 34.68/5.33 % (422195)Termination reason: Instruction limit
% 34.68/5.33 % (422195)Termination phase: Finite model building constraint generation
% 34.68/5.33 % (422195)Time elapsed: 0.751 s
% 34.68/5.33 % (422195)Peak memory usage: 135 MB
% 34.68/5.33 % (422195)Instructions burned: 2177 (million)
% 34.68/5.33 % (422197)ott-2_1_sil=16000:newcnf=on:random_seed=3811972769:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2972 on theBenchmark for (2972ds/869Mi)
% 34.68/5.33 % (422197)Instruction limit reached!
% 34.68/5.33 % (422197)------------------------------
% 34.68/5.33 % (422197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.68/5.33 % (422197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.68/5.33 % (422197)CaDiCaL version: 2.1.3
% 34.68/5.33 % (422197)Termination reason: Instruction limit
% 34.68/5.33 % (422197)Termination phase: Saturation
% 34.68/5.33 % (422197)Time elapsed: 0.486 s
% 34.68/5.33 % (422197)Peak memory usage: 16 MB
% 34.68/5.33 % (422197)Instructions burned: 869 (million)
% 34.68/5.33 % (422199)ott+10_1_sil=32000:tgt=ground:random_seed=318339487:i=5114:av=off_2967 on theBenchmark for (2967ds/5114Mi)
% 34.68/5.33 % (422189)Instruction limit reached!
% 34.68/5.33 % (422189)------------------------------
% 34.68/5.33 % (422189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.68/5.33 % (422189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.68/5.33 % (422189)CaDiCaL version: 2.1.3
% 34.68/5.33 % (422189)Termination reason: Instruction limit
% 34.68/5.33 % (422189)Termination phase: Saturation
% 34.68/5.33 % (422189)Time elapsed: 2.568 s
% 34.68/5.33 % (422189)Peak memory usage: 29 MB
% 34.68/5.33 % (422189)Instructions burned: 5131 (million)
% 34.68/5.33 % (422201)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2942602980:i=54282_2962 on theBenchmark for (2962ds/54282Mi)
% 34.68/5.33 % TRYING [1]
% 34.68/5.33 % TRYING [2]
% 34.68/5.33 % TRYING [3]
% 34.68/5.33 % TRYING [4]
% 34.68/5.33 % (422185)Instruction limit reached!
% 34.68/5.33 % (422185)------------------------------
% 34.68/5.33 % (422185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.68/5.33 % (422185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.68/5.33 % (422185)CaDiCaL version: 2.1.3
% 34.68/5.33 % (422185)Termination reason: Instruction limit
% 34.68/5.33 % (422185)Termination phase: Finite model building constraint generation
% 34.68/5.33 % (422185)Time elapsed: 3.316 s
% 34.68/5.33 % (422185)Peak memory usage: 603 MB
% 34.68/5.33 % (422185)Instructions burned: 9515 (million)
% 34.68/5.33 % (422203)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3524794093:i=3512:aac=none_2956 on theBenchmark for (2956ds/3512Mi)
% 34.68/5.33 % (422199) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-422144-422199"...
% 34.68/5.33 % (422199)...printing done.
% 34.68/5.33 % (422199)Refutation found. Thanks to Tanya!
% 34.68/5.33 % SZS status Theorem for theBenchmark
% 34.68/5.33 % SZS output start Proof for theBenchmark
% See solution above
% 34.68/5.33 % (422199)------------------------------
% 34.68/5.33 % (422199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.68/5.33 % (422199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.68/5.33 % (422199)CaDiCaL version: 2.1.3
% 34.68/5.33 % (422199)Termination reason: Refutation
% 34.68/5.33 % (422199)Time elapsed: 1.651 s
% 34.68/5.33 % (422199)Peak memory usage: 25 MB
% 34.68/5.33 % (422199)Instructions burned: 2866 (million)
% 34.68/5.33 % (422144)Success in time 4.918 s
% 34.68/5.33 % Vampire exiting
%------------------------------------------------------------------------------