%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU012+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:47:03 PM UTC 2026
% Result : Theorem 4.09s 1.59s
% Output : Refutation 5.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 60 ( 15 unt; 0 def)
% Number of atoms : 288 ( 111 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 377 ( 149 ~; 146 |; 61 &)
% ( 9 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 103 ( 87 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f30,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).
fof(f32,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f34,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( relation_rng(X0) = relation_dom(X1)
& relation_composition(X0,X1) = X0 )
=> X1 = identity_relation(relation_dom(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_funct_1) ).
fof(f35,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( relation_rng(X0) = relation_dom(X1)
& relation_composition(X0,X1) = X0 )
=> X1 = identity_relation(relation_dom(X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f34]) ).
fof(f43,plain,
? [X0] :
( ? [X1] :
( identity_relation(relation_dom(X1)) != X1
& relation_rng(X0) = relation_dom(X1)
& relation_composition(X0,X1) = X0
& relation(X1)
& function(X1) )
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f44,plain,
? [X0] :
( ? [X1] :
( identity_relation(relation_dom(X1)) != X1
& relation_rng(X0) = relation_dom(X1)
& relation_composition(X0,X1) = X0
& relation(X1)
& function(X1) )
& relation(X0)
& function(X0) ),
inference(flattening,[],[f43]) ).
fof(f47,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f48,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f50,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f51]) ).
fof(f71,plain,
( sK1 != identity_relation(relation_dom(sK1))
& relation_dom(sK1) = relation_rng(sK0)
& sK0 = relation_composition(sK0,sK1)
& relation(sK1)
& function(sK1)
& relation(sK0)
& function(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f44]) ).
fof(f72,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f48]) ).
fof(f73,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ( sK2(X0,X1) != apply(X1,sK2(X0,X1))
& in(sK2(X0,X1),X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f74]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f52]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& apply(X0,X4) = X2 )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ? [X7] :
( in(X7,relation_dom(X0))
& apply(X0,X7) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != sK3(X0,X1) )
| ~ in(sK3(X0,X1),X1) )
& ( ( in(sK4(X0,X1),relation_dom(X0))
& sK3(X0,X1) = apply(X0,sK4(X0,X1)) )
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ( in(sK5(X0,X5),relation_dom(X0))
& apply(X0,sK5(X0,X5)) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X2,sK3(X0,X1)),skolemize(X4,sK4(X0,X1)),skolemize(X7,sK5(X0,X5))],[f77]) ).
fof(f85,plain,
function(sK0),
inference(cnf_transformation,[],[f71]) ).
fof(f86,plain,
relation(sK0),
inference(cnf_transformation,[],[f71]) ).
fof(f87,plain,
function(sK1),
inference(cnf_transformation,[],[f71]) ).
fof(f88,plain,
relation(sK1),
inference(cnf_transformation,[],[f71]) ).
fof(f89,plain,
sK0 = relation_composition(sK0,sK1),
inference(cnf_transformation,[],[f71]) ).
fof(f90,plain,
relation_dom(sK1) = relation_rng(sK0),
inference(cnf_transformation,[],[f71]) ).
fof(f91,plain,
sK1 != identity_relation(relation_dom(sK1)),
inference(cnf_transformation,[],[f71]) ).
fof(f96,plain,
! [X0,X1] :
( identity_relation(X0) = X1
| relation_dom(X1) != X0
| in(sK2(X0,X1),X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f97,plain,
! [X0,X1] :
( identity_relation(X0) = X1
| relation_dom(X1) != X0
| sK2(X0,X1) != apply(X1,sK2(X0,X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(X1))
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f99,plain,
! [X0,X1,X5] :
( apply(X0,sK5(X0,X5)) = X5
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f100,plain,
! [X0,X1,X5] :
( in(sK5(X0,X5),relation_dom(X0))
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f139,plain,
! [X1] :
( sK2(relation_dom(X1),X1) != apply(X1,sK2(relation_dom(X1),X1))
| identity_relation(relation_dom(X1)) = X1
| ~ relation(X1)
| ~ function(X1) ),
inference(equality_resolution,[],[f97]) ).
fof(f140,plain,
! [X1] :
( in(sK2(relation_dom(X1),X1),relation_dom(X1))
| identity_relation(relation_dom(X1)) = X1
| ~ relation(X1)
| ~ function(X1) ),
inference(equality_resolution,[],[f96]) ).
fof(f145,plain,
! [X0,X5] :
( in(sK5(X0,X5),relation_dom(X0))
| ~ in(X5,relation_rng(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f100]) ).
fof(f146,plain,
! [X0,X5] :
( ~ in(X5,relation_rng(X0))
| apply(X0,sK5(X0,X5)) = X5
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f99]) ).
fof(f149,plain,
sK1 != identity_relation(relation_rng(sK0)),
inference(forward_demodulation,[],[f91,f90]) ).
fof(f297,plain,
( in(sK2(relation_rng(sK0),sK1),relation_rng(sK0))
| sK1 = identity_relation(relation_rng(sK0))
| ~ relation(sK1)
| ~ function(sK1) ),
inference(superposition,[],[f140,f90]) ).
fof(f299,plain,
( in(sK2(relation_rng(sK0),sK1),relation_rng(sK0))
| ~ relation(sK1)
| ~ function(sK1) ),
inference(forward_subsumption_resolution,[],[f297,f149]) ).
fof(f300,plain,
( in(sK2(relation_rng(sK0),sK1),relation_rng(sK0))
| ~ function(sK1) ),
inference(forward_subsumption_resolution,[],[f299,f88]) ).
fof(f301,plain,
in(sK2(relation_rng(sK0),sK1),relation_rng(sK0)),
inference(forward_subsumption_resolution,[],[f300,f87]) ).
fof(f302,plain,
( sK2(relation_rng(sK0),sK1) = apply(sK0,sK5(sK0,sK2(relation_rng(sK0),sK1)))
| ~ relation(sK0)
| ~ function(sK0) ),
inference(resolution,[],[f301,f146]) ).
fof(f306,plain,
( sK2(relation_rng(sK0),sK1) = apply(sK0,sK5(sK0,sK2(relation_rng(sK0),sK1)))
| ~ function(sK0) ),
inference(forward_subsumption_resolution,[],[f302,f86]) ).
fof(f307,plain,
sK2(relation_rng(sK0),sK1) = apply(sK0,sK5(sK0,sK2(relation_rng(sK0),sK1))),
inference(forward_subsumption_resolution,[],[f306,f85]) ).
fof(f325,plain,
( sK2(relation_rng(sK0),sK1) != apply(sK1,sK2(relation_rng(sK0),sK1))
| sK1 = identity_relation(relation_rng(sK0))
| ~ relation(sK1)
| ~ function(sK1) ),
inference(superposition,[],[f139,f90]) ).
fof(f327,plain,
( sK2(relation_rng(sK0),sK1) != apply(sK1,sK2(relation_rng(sK0),sK1))
| ~ relation(sK1)
| ~ function(sK1) ),
inference(forward_subsumption_resolution,[],[f325,f149]) ).
fof(f328,plain,
( sK2(relation_rng(sK0),sK1) != apply(sK1,sK2(relation_rng(sK0),sK1))
| ~ function(sK1) ),
inference(forward_subsumption_resolution,[],[f327,f88]) ).
fof(f329,plain,
sK2(relation_rng(sK0),sK1) != apply(sK1,sK2(relation_rng(sK0),sK1)),
inference(forward_subsumption_resolution,[],[f328,f87]) ).
fof(f343,plain,
! [X2,X0,X1] :
( apply(relation_composition(X0,X1),sK5(X0,X2)) = apply(X1,apply(X0,sK5(X0,X2)))
| ~ relation(X1)
| ~ function(X1)
| ~ relation(X0)
| ~ function(X0)
| ~ in(X2,relation_rng(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(resolution,[],[f98,f145]) ).
fof(f347,plain,
! [X2,X0,X1] :
( ~ in(X2,relation_rng(X0))
| ~ relation(X1)
| ~ function(X1)
| ~ relation(X0)
| ~ function(X0)
| apply(relation_composition(X0,X1),sK5(X0,X2)) = apply(X1,apply(X0,sK5(X0,X2))) ),
inference(duplicate_literal_removal,[],[f343]) ).
fof(f1177,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ~ relation(sK0)
| ~ function(sK0)
| apply(relation_composition(sK0,X0),sK5(sK0,sK2(relation_rng(sK0),sK1))) = apply(X0,apply(sK0,sK5(sK0,sK2(relation_rng(sK0),sK1)))) ),
inference(resolution,[],[f347,f301]) ).
fof(f1197,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ~ function(sK0)
| apply(relation_composition(sK0,X0),sK5(sK0,sK2(relation_rng(sK0),sK1))) = apply(X0,apply(sK0,sK5(sK0,sK2(relation_rng(sK0),sK1)))) ),
inference(forward_subsumption_resolution,[],[f1177,f86]) ).
fof(f1203,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| apply(relation_composition(sK0,X0),sK5(sK0,sK2(relation_rng(sK0),sK1))) = apply(X0,apply(sK0,sK5(sK0,sK2(relation_rng(sK0),sK1)))) ),
inference(forward_subsumption_resolution,[],[f1197,f85]) ).
fof(f1205,plain,
! [X0] :
( ~ relation(X0)
| apply(X0,sK2(relation_rng(sK0),sK1)) = apply(relation_composition(sK0,X0),sK5(sK0,sK2(relation_rng(sK0),sK1)))
| ~ function(X0) ),
inference(forward_demodulation,[],[f1203,f307]) ).
fof(f2475,plain,
( apply(sK1,sK2(relation_rng(sK0),sK1)) = apply(relation_composition(sK0,sK1),sK5(sK0,sK2(relation_rng(sK0),sK1)))
| ~ function(sK1) ),
inference(resolution,[],[f1205,f88]) ).
fof(f2484,plain,
apply(sK1,sK2(relation_rng(sK0),sK1)) = apply(relation_composition(sK0,sK1),sK5(sK0,sK2(relation_rng(sK0),sK1))),
inference(forward_subsumption_resolution,[],[f2475,f87]) ).
fof(f2646,plain,
apply(sK0,sK5(sK0,sK2(relation_rng(sK0),sK1))) = apply(sK1,sK2(relation_rng(sK0),sK1)),
inference(forward_demodulation,[],[f2484,f89]) ).
fof(f2654,plain,
sK2(relation_rng(sK0),sK1) = apply(sK1,sK2(relation_rng(sK0),sK1)),
inference(forward_demodulation,[],[f2646,f307]) ).
fof(f2656,plain,
$false,
inference(forward_subsumption_resolution,[],[f2654,f329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU012+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 03:16:50 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 4.09/1.59 % (3175699)Detected formulas, will run a generic FOF schedule.
% 4.09/1.59 % (3175707)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2891312833:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.09/1.59 % (3175707)Refutation not found, incomplete strategy
% 4.09/1.59 % (3175707)------------------------------
% 4.09/1.59 % (3175707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.59 % (3175707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.59 % (3175707)CaDiCaL version: 2.1.3
% 4.09/1.59 % (3175707)Termination reason: Refutation not found, incomplete strategy
% 4.09/1.59 % (3175707)Time elapsed: 0.002 s
% 4.09/1.59 % (3175707)Peak memory usage: 88 MB
% 4.09/1.59 % (3175707)Instructions burned: 2 (million)
% 4.09/1.59 % (3175704)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=2421530791:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.09/1.59 % (3175705)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=998804436:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.09/1.59 % (3175706)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=2014076117:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.09/1.59 % (3175708)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1567121757:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.09/1.59 % (3175709)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3486305081:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.09/1.59 % (3175710)dis-21_1_sil=8000:lcm=predicate:random_seed=3860999232: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)
% 4.09/1.59 % (3175708)Refutation not found, incomplete strategy
% 4.09/1.59 % (3175708)------------------------------
% 4.09/1.59 % (3175708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.59 % (3175708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.59 % (3175708)CaDiCaL version: 2.1.3
% 4.09/1.59 % (3175708)Termination reason: Refutation not found, incomplete strategy
% 4.09/1.59 % (3175708)Time elapsed: 0.003 s
% 4.09/1.59 % (3175708)Peak memory usage: 88 MB
% 4.09/1.59 % (3175708)Instructions burned: 2 (million)
% 4.09/1.59 % (3175710)Instruction limit reached!
% 4.09/1.59 % (3175710)------------------------------
% 4.09/1.59 % (3175710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.59 % (3175710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.59 % (3175710)CaDiCaL version: 2.1.3
% 4.09/1.59 % (3175710)Termination reason: Instruction limit
% 4.09/1.59 % (3175710)Termination phase: Saturation
% 4.09/1.59 % (3175710)Time elapsed: 0.077 s
% 4.09/1.59 % (3175710)Peak memory usage: 90 MB
% 4.09/1.59 % (3175710)Instructions burned: 129 (million)
% 4.09/1.59 % (3175709)Instruction limit reached!
% 4.09/1.59 % (3175709)------------------------------
% 4.09/1.59 % (3175709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.59 % (3175709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.59 % (3175709)CaDiCaL version: 2.1.3
% 4.09/1.59 % (3175709)Termination reason: Instruction limit
% 4.09/1.59 % (3175709)Termination phase: Saturation
% 4.09/1.59 % (3175709)Time elapsed: 0.095 s
% 4.09/1.59 % (3175709)Peak memory usage: 89 MB
% 4.09/1.59 % (3175709)Instructions burned: 141 (million)
% 4.09/1.59 % (3175707)------------------------------
% 4.09/1.59 % (3175707)------------------------------
% 4.09/1.59 % (3175718)lrs+10_1_sil=8000:sp=occurrence:random_seed=520584722:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.09/1.59 % (3175720)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4220114652:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.09/1.59 % (3175719)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3010154335:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.09/1.59 % (3175708)------------------------------
% 4.09/1.59 % (3175708)------------------------------
% 4.09/1.59 % (3175718)First to succeed.
% 4.09/1.59 % (3175718)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3175699"
% 4.09/1.59 % (3175719)Instruction limit reached!
% 4.09/1.59 % (3175719)------------------------------
% 4.09/1.59 % (3175719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.59 % (3175719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.59 % (3175719)CaDiCaL version: 2.1.3
% 4.09/1.59 % (3175719)Termination reason: Instruction limit
% 4.09/1.59 % (3175719)Termination phase: Saturation
% 4.09/1.59 % (3175719)Time elapsed: 0.079 s
% 4.09/1.59 % (3175719)Peak memory usage: 89 MB
% 4.09/1.59 % (3175719)Instructions burned: 159 (million)
% 4.09/1.59 % (3175720)Instruction limit reached!
% 4.09/1.59 % (3175720)------------------------------
% 4.09/1.59 % (3175720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.59 % (3175720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.59 % (3175720)CaDiCaL version: 2.1.3
% 4.09/1.59 % (3175720)Termination reason: Instruction limit
% 4.09/1.59 % (3175720)Termination phase: Saturation
% 4.09/1.59 % (3175720)Time elapsed: 0.112 s
% 4.09/1.59 % (3175720)Peak memory usage: 92 MB
% 4.09/1.59 % (3175720)Instructions burned: 327 (million)
% 4.09/1.59 % (3175724)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=2656260489:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.09/1.59 % (3175725)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1473938745:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.09/1.59 % (3175725)Also succeeded, but the first one will report.
% 4.09/1.59 % (3175726)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=738335975:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.09/1.59 % (3175718)Refutation found. Thanks to Tanya!
% 4.09/1.59 % SZS status Theorem for theBenchmark
% 4.09/1.59 % SZS output start Proof for theBenchmark
% See solution above
% 5.66/1.79 % (3175718)------------------------------
% 5.66/1.79 % (3175718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.66/1.79 % (3175718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.79 % (3175718)CaDiCaL version: 2.1.3
% 5.66/1.79 % (3175718)Termination reason: Refutation
% 5.66/1.79 % (3175718)Time elapsed: 0.069 s
% 5.66/1.79 % (3175718)Peak memory usage: 90 MB
% 5.66/1.79 % (3175718)Instructions burned: 113 (million)
% 5.66/1.79 % (3175718)------------------------------
% 5.66/1.79 % (3175718)------------------------------
% 5.66/1.79 % (3175699)Success in time 0.726 s
% 5.66/1.79 % Vampire exiting
%------------------------------------------------------------------------------