%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU420+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:48:53 PM UTC 2026
% Result : Theorem 6.52s 3.62s
% Output : Refutation 13.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 17
% Syntax : Number of formulae : 81 ( 23 unt; 2 def)
% Number of atoms : 194 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 200 ( 87 ~; 82 |; 12 &)
% ( 3 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 130 ( 1 sgn 127 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f54,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f70,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X1,X2) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f76,axiom,
! [X0,X1] : r1_tarski(X0,k2_xboole_0(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f79,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
=> r1_tarski(X0,k2_xboole_0(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_xboole_1) ).
fof(f86,axiom,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f88,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X0,X2) )
=> r1_tarski(X0,k3_xboole_0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).
fof(f108,axiom,
! [X0,X1] : k2_xboole_0(X0,k4_xboole_0(X1,X0)) = k2_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_xboole_1) ).
fof(f112,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,k2_xboole_0(X1,X2))
=> r1_tarski(k4_xboole_0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_xboole_1) ).
fof(f121,axiom,
! [X0,X1,X2] : k4_xboole_0(X0,k4_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k3_xboole_0(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_xboole_1) ).
fof(f700,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(X0,X1)
=> v1_relat_1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_relat_1) ).
fof(f866,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X1,X2)
=> r1_tarski(k9_relat_1(X1,X0),k9_relat_1(X2,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t157_relat_1) ).
fof(f867,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> ( ( r1_tarski(X2,X3)
& r1_tarski(X0,X1) )
=> r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X3,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t158_relat_1) ).
fof(f19081,conjecture,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> r1_tarski(k9_relat_1(k3_xboole_0(X1,X2),k3_pua2mss1(X0)),k3_xboole_0(k9_relat_1(X1,k3_pua2mss1(X0)),k9_relat_1(X2,k3_pua2mss1(X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_relset_2) ).
fof(f19082,negated_conjecture,
~ ! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> r1_tarski(k9_relat_1(k3_xboole_0(X1,X2),k3_pua2mss1(X0)),k3_xboole_0(k9_relat_1(X1,k3_pua2mss1(X0)),k9_relat_1(X2,k3_pua2mss1(X0)))) ) ),
inference(negated_conjecture,[status(cth)],[f19081]) ).
fof(f19087,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f18]) ).
fof(f19144,plain,
? [X0,X1] :
( ? [X2] :
( ~ r1_tarski(k9_relat_1(k3_xboole_0(X1,X2),k3_pua2mss1(X0)),k3_xboole_0(k9_relat_1(X1,k3_pua2mss1(X0)),k9_relat_1(X2,k3_pua2mss1(X0))))
& v1_relat_1(X2) )
& v1_relat_1(X1) ),
inference(ennf_transformation,[],[f19082]) ).
fof(f19170,plain,
! [X0,X1,X2] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(ennf_transformation,[],[f88]) ).
fof(f19171,plain,
! [X0,X1,X2] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(flattening,[],[f19170]) ).
fof(f19238,plain,
! [X0,X1,X2] :
( ! [X3] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X3,X1))
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X3) )
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f867]) ).
fof(f19239,plain,
! [X0,X1,X2] :
( ! [X3] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X3,X1))
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X3) )
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f19238]) ).
fof(f19240,plain,
! [X0,X1] :
( ! [X2] :
( r1_tarski(k9_relat_1(X1,X0),k9_relat_1(X2,X0))
| ~ r1_tarski(X1,X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f866]) ).
fof(f19241,plain,
! [X0,X1] :
( ! [X2] :
( r1_tarski(k9_relat_1(X1,X0),k9_relat_1(X2,X0))
| ~ r1_tarski(X1,X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f19240]) ).
fof(f19397,plain,
! [X0,X1,X2] :
( r1_tarski(X0,k2_xboole_0(X2,X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f79]) ).
fof(f19423,plain,
! [X0,X1,X2] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(ennf_transformation,[],[f112]) ).
fof(f19447,plain,
! [X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f700]) ).
fof(f19448,plain,
! [X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f19447]) ).
fof(f19454,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f19455,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(flattening,[],[f19454]) ).
fof(f19571,plain,
( ~ r1_tarski(k9_relat_1(k3_xboole_0(sK6,sK7),k3_pua2mss1(sK5)),k3_xboole_0(k9_relat_1(sK6,k3_pua2mss1(sK5)),k9_relat_1(sK7,k3_pua2mss1(sK5))))
& v1_relat_1(sK7)
& v1_relat_1(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7)],[f19144]) ).
fof(f19669,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f19670,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f19669]) ).
fof(f19789,plain,
v1_relat_1(sK6),
inference(cnf_transformation,[],[f19571]) ).
fof(f19790,plain,
v1_relat_1(sK7),
inference(cnf_transformation,[],[f19571]) ).
fof(f19791,plain,
~ r1_tarski(k9_relat_1(k3_xboole_0(sK6,sK7),k3_pua2mss1(sK5)),k3_xboole_0(k9_relat_1(sK6,k3_pua2mss1(sK5)),k9_relat_1(sK7,k3_pua2mss1(sK5)))),
inference(cnf_transformation,[],[f19571]) ).
fof(f19822,plain,
! [X2,X0,X1] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f19171]) ).
fof(f19824,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f86]) ).
fof(f19908,plain,
! [X2,X3,X0,X1] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X3,X1))
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f19239]) ).
fof(f19909,plain,
! [X2,X0,X1] :
( r1_tarski(k9_relat_1(X1,X0),k9_relat_1(X2,X0))
| ~ r1_tarski(X1,X2)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f19241]) ).
fof(f20141,plain,
! [X2,X0,X1] :
( r1_tarski(X0,k2_xboole_0(X2,X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f19397]) ).
fof(f20144,plain,
! [X0,X1] : r1_tarski(X0,k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f76]) ).
fof(f20150,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f20208,plain,
! [X2,X0,X1] : k4_xboole_0(X0,k4_xboole_0(X1,X2)) = k2_xboole_0(k4_xboole_0(X0,X1),k3_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f121]) ).
fof(f20217,plain,
! [X2,X0,X1] :
( r1_tarski(k4_xboole_0(X0,X1),X2)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2)) ),
inference(cnf_transformation,[],[f19423]) ).
fof(f20221,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f108]) ).
fof(f20251,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_relat_1(X0)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f19448]) ).
fof(f20264,plain,
! [X2,X0,X1] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f19455]) ).
fof(f20266,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f19670]) ).
fof(f20268,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f19087]) ).
fof(f20501,plain,
! [X1] : r1_tarski(X1,X1),
inference(equality_resolution,[],[f20266]) ).
fof(f20544,plain,
( ~ r1_tarski(k9_relat_1(k3_xboole_0(sK6,sK7),k3_pua2mss1(sK5)),k9_relat_1(sK6,k3_pua2mss1(sK5)))
| ~ r1_tarski(k9_relat_1(k3_xboole_0(sK6,sK7),k3_pua2mss1(sK5)),k9_relat_1(sK7,k3_pua2mss1(sK5))) ),
inference(resolution,[],[f19791,f19822]) ).
fof(f20564,definition,
( spl138_2
<=> r1_tarski(k9_relat_1(k3_xboole_0(sK6,sK7),k3_pua2mss1(sK5)),k9_relat_1(sK6,k3_pua2mss1(sK5))) ),
introduced(definition,[new_symbols(definition,[spl138_2])],[avatar_definition]) ).
fof(f20565,plain,
( ~ r1_tarski(k9_relat_1(k3_xboole_0(sK6,sK7),k3_pua2mss1(sK5)),k9_relat_1(sK6,k3_pua2mss1(sK5)))
| spl138_2 ),
inference(avatar_component_clause,[],[f20564]) ).
fof(f20614,definition,
( spl138_14
<=> r1_tarski(k9_relat_1(k3_xboole_0(sK6,sK7),k3_pua2mss1(sK5)),k9_relat_1(sK7,k3_pua2mss1(sK5))) ),
introduced(definition,[new_symbols(definition,[spl138_14])],[avatar_definition]) ).
fof(f20615,plain,
( ~ r1_tarski(k9_relat_1(k3_xboole_0(sK6,sK7),k3_pua2mss1(sK5)),k9_relat_1(sK7,k3_pua2mss1(sK5)))
| spl138_14 ),
inference(avatar_component_clause,[],[f20614]) ).
fof(f20616,plain,
( ~ spl138_14
| ~ spl138_2 ),
inference(avatar_split_clause,[],[f20544,f20564,f20614]) ).
fof(f20725,plain,
( ~ r1_tarski(k3_xboole_0(sK6,sK7),sK6)
| ~ r1_tarski(k3_pua2mss1(sK5),k3_pua2mss1(sK5))
| ~ v1_relat_1(sK6)
| ~ v1_relat_1(k3_xboole_0(sK6,sK7))
| spl138_2 ),
inference(resolution,[],[f20565,f19908]) ).
fof(f20743,plain,
( ~ r1_tarski(k3_xboole_0(sK6,sK7),sK6)
| ~ r1_tarski(k3_pua2mss1(sK5),k3_pua2mss1(sK5))
| ~ v1_relat_1(sK6)
| spl138_2 ),
inference(forward_subsumption_resolution,[],[f20725,f20251]) ).
fof(f20745,plain,
( ~ r1_tarski(k3_pua2mss1(sK5),k3_pua2mss1(sK5))
| ~ v1_relat_1(sK6)
| spl138_2 ),
inference(forward_subsumption_resolution,[],[f20743,f19824]) ).
fof(f20748,plain,
( ~ v1_relat_1(sK6)
| spl138_2 ),
inference(forward_subsumption_resolution,[],[f20745,f20501]) ).
fof(f20749,plain,
( $false
| spl138_2 ),
inference(forward_subsumption_resolution,[],[f20748,f19789]) ).
fof(f20750,plain,
spl138_2,
inference(avatar_contradiction_clause,[],[f20749]) ).
fof(f20794,plain,
( ~ r1_tarski(k3_xboole_0(sK6,sK7),sK7)
| ~ v1_relat_1(sK7)
| ~ v1_relat_1(k3_xboole_0(sK6,sK7))
| spl138_14 ),
inference(resolution,[],[f20615,f19909]) ).
fof(f20806,plain,
( ~ r1_tarski(k3_xboole_0(sK6,sK7),sK7)
| ~ v1_relat_1(sK7)
| spl138_14 ),
inference(forward_subsumption_resolution,[],[f20794,f20251]) ).
fof(f20808,plain,
( ~ r1_tarski(k3_xboole_0(sK6,sK7),sK7)
| spl138_14 ),
inference(forward_subsumption_resolution,[],[f20806,f19790]) ).
fof(f20812,plain,
( ! [X0] :
( ~ r1_tarski(k3_xboole_0(sK6,sK7),X0)
| ~ r1_tarski(X0,sK7) )
| spl138_14 ),
inference(resolution,[],[f20808,f20264]) ).
fof(f22599,plain,
( ! [X0] : ~ r1_tarski(k2_xboole_0(k3_xboole_0(sK6,sK7),X0),sK7)
| spl138_14 ),
inference(resolution,[],[f20812,f20144]) ).
fof(f22627,plain,
( ! [X0] : ~ r1_tarski(k2_xboole_0(X0,k3_xboole_0(sK6,sK7)),sK7)
| spl138_14 ),
inference(superposition,[],[f22599,f20150]) ).
fof(f22747,plain,
( ! [X0] : ~ r1_tarski(k4_xboole_0(sK6,k4_xboole_0(X0,sK7)),sK7)
| spl138_14 ),
inference(superposition,[],[f22627,f20208]) ).
fof(f26976,plain,
( ! [X0] : ~ r1_tarski(sK6,k2_xboole_0(k4_xboole_0(X0,sK7),sK7))
| spl138_14 ),
inference(resolution,[],[f22747,f20217]) ).
fof(f26992,plain,
( ! [X0] : ~ r1_tarski(sK6,k2_xboole_0(sK7,k4_xboole_0(X0,sK7)))
| spl138_14 ),
inference(forward_demodulation,[],[f26976,f20150]) ).
fof(f26993,plain,
( ! [X0] : ~ r1_tarski(sK6,k2_xboole_0(sK7,X0))
| spl138_14 ),
inference(forward_demodulation,[],[f26992,f20221]) ).
fof(f26995,plain,
( ! [X0] : ~ r1_tarski(sK6,X0)
| spl138_14 ),
inference(resolution,[],[f26993,f20141]) ).
fof(f27006,plain,
( $false
| spl138_14 ),
inference(resolution,[],[f26995,f20268]) ).
fof(f27027,plain,
spl138_14,
inference(avatar_contradiction_clause,[],[f27006]) ).
cnf(s7,plain,
( ~ spl138_2
| ~ spl138_14 ),
inference(sat_conversion,[],[f20616]) ).
cnf(s20,plain,
spl138_2,
inference(sat_conversion,[],[f20750]) ).
cnf(s321,plain,
spl138_14,
inference(sat_conversion,[],[f27027]) ).
cnf(s386,plain,
$false,
inference(rat,[],[s7,s321,s20]) ).
fof(f27029,plain,
$false,
inference(avatar_sat_refutation,[],[s386]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU420+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 28 05:18:18 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.52/3.62 % (3053230)Detected formulas, will run a generic FOF schedule.
% 6.52/3.62 % (3053235)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=1453801046:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 6.52/3.62 % (3053241)dis-21_1_sil=8000:lcm=predicate:random_seed=666829705:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 6.52/3.62 % (3053236)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=402786528:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 6.52/3.62 % (3053239)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=7218177:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 6.52/3.62 % (3053240)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3605573721:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 6.52/3.62 % (3053237)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=3987995399:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 6.52/3.62 % (3053238)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2171910726:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 6.52/3.62 % (3053240)Instruction limit reached!
% 6.52/3.62 % (3053240)------------------------------
% 6.52/3.62 % (3053240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.62 % (3053240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.62 % (3053240)CaDiCaL version: 2.1.3
% 6.52/3.62 % (3053240)Termination reason: Instruction limit
% 6.52/3.62 % (3053240)Termination phase: Property scanning
% 6.52/3.62 % (3053240)Time elapsed: 0.061 s
% 6.52/3.62 % (3053240)Peak memory usage: 112 MB
% 6.52/3.62 % (3053240)Instructions burned: 141 (million)
% 6.52/3.62 % (3053238)Instruction limit reached!
% 6.52/3.62 % (3053238)------------------------------
% 6.52/3.62 % (3053238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.62 % (3053238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.62 % (3053238)CaDiCaL version: 2.1.3
% 6.52/3.62 % (3053238)Termination reason: Instruction limit
% 6.52/3.62 % (3053238)Termination phase: SInE selection
% 6.52/3.62 % (3053238)Time elapsed: 0.085 s
% 6.52/3.62 % (3053238)Peak memory usage: 112 MB
% 6.52/3.62 % (3053238)Instructions burned: 109 (million)
% 6.52/3.62 % (3053241)Instruction limit reached!
% 6.52/3.62 % (3053241)------------------------------
% 6.52/3.62 % (3053241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.62 % (3053241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.62 % (3053241)CaDiCaL version: 2.1.3
% 6.52/3.62 % (3053241)Termination reason: Instruction limit
% 6.52/3.62 % (3053241)Termination phase: SInE selection
% 6.52/3.62 % (3053241)Time elapsed: 0.087 s
% 6.52/3.62 % (3053241)Peak memory usage: 112 MB
% 6.52/3.62 % (3053241)Instructions burned: 129 (million)
% 6.52/3.62 % (3053239)Instruction limit reached!
% 6.52/3.62 % (3053239)------------------------------
% 6.52/3.62 % (3053239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.62 % (3053239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.62 % (3053239)CaDiCaL version: 2.1.3
% 6.52/3.62 % (3053239)Termination reason: Instruction limit
% 6.52/3.62 % (3053239)Termination phase: Preprocessing 1
% 6.52/3.62 % (3053239)Time elapsed: 0.102 s
% 6.52/3.62 % (3053239)Peak memory usage: 113 MB
% 6.52/3.62 % (3053239)Instructions burned: 119 (million)
% 6.52/3.62 % (3053249)lrs+10_1_sil=8000:sp=occurrence:random_seed=2187919658:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 6.52/3.62 % (3053250)lrs+10_1_sil=32000:urr=on:br=off:random_seed=705917169:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 6.52/3.62 % (3053251)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2929038251:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 6.52/3.62 % (3053252)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=151731585:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 6.52/3.62 % (3053250)Instruction limit reached!
% 6.52/3.62 % (3053250)------------------------------
% 6.52/3.62 % (3053250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.62 % (3053250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.62 % (3053250)CaDiCaL version: 2.1.3
% 6.52/3.62 % (3053250)Termination reason: Instruction limit
% 6.52/3.62 % (3053250)Termination phase: Property scanning
% 6.52/3.62 % (3053250)Time elapsed: 0.069 s
% 6.52/3.62 % (3053250)Peak memory usage: 112 MB
% 6.52/3.62 % (3053250)Instructions burned: 158 (million)
% 6.52/3.62 % (3053252)Instruction limit reached!
% 6.52/3.62 % (3053252)------------------------------
% 6.52/3.62 % (3053252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.62 % (3053252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.62 % (3053252)CaDiCaL version: 2.1.3
% 6.52/3.62 % (3053252)Termination reason: Instruction limit
% 6.52/3.62 % (3053252)Termination phase: Property scanning
% 6.52/3.62 % (3053252)Time elapsed: 0.105 s
% 6.52/3.62 % (3053252)Peak memory usage: 112 MB
% 6.52/3.62 % (3053252)Instructions burned: 248 (million)
% 6.52/3.62 % (3053249)Instruction limit reached!
% 6.52/3.62 % (3053249)------------------------------
% 6.52/3.62 % (3053249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.62 % (3053249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.62 % (3053249)CaDiCaL version: 2.1.3
% 6.52/3.62 % (3053249)Termination reason: Instruction limit
% 6.52/3.62 % (3053249)Termination phase: Saturation
% 6.52/3.62 % (3053249)Time elapsed: 0.209 s
% 6.52/3.62 % (3053249)Peak memory usage: 119 MB
% 6.52/3.62 % (3053249)Instructions burned: 286 (million)
% 6.52/3.62 % (3053257)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=246917534:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 6.52/3.62 % (3053251)Instruction limit reached!
% 6.52/3.62 % (3053251)------------------------------
% 6.52/3.62 % (3053251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.62 % (3053251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.62 % (3053251)CaDiCaL version: 2.1.3
% 6.52/3.62 % (3053251)Termination reason: Instruction limit
% 6.52/3.62 % (3053251)Termination phase: Saturation
% 6.52/3.62 % (3053251)Time elapsed: 0.255 s
% 6.52/3.62 % (3053251)Peak memory usage: 119 MB
% 6.52/3.62 % (3053251)Instructions burned: 325 (million)
% 6.52/3.62 % (3053258)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4236395791:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 6.52/3.62 % (3053259)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=848247532:cts=off:i=113:fsr=off:ss=included:sgt=4_2982 on theBenchmark for (2982ds/113Mi)
% 6.52/3.62 % (3053261)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=490922226:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 6.52/3.62 % (3053257)Instruction limit reached!
% 6.52/3.62 % (3053257)------------------------------
% 6.52/3.62 % (3053257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.62 % (3053257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.62 % (3053257)CaDiCaL version: 2.1.3
% 6.52/3.62 % (3053257)Termination reason: Instruction limit
% 6.52/3.62 % (3053257)Termination phase: Property scanning
% 6.52/3.62 % (3053257)Time elapsed: 0.218 s
% 6.52/3.62 % (3053257)Peak memory usage: 119 MB
% 6.52/3.62 % (3053257)Instructions burned: 295 (million)
% 6.52/3.62 % (3053259)Instruction limit reached!
% 6.52/3.62 % (3053259)------------------------------
% 6.52/3.62 % (3053259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.62 % (3053259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.62 % (3053259)CaDiCaL version: 2.1.3
% 6.52/3.62 % (3053259)Termination reason: Instruction limit
% 6.52/3.62 % (3053259)Termination phase: SInE selection
% 6.52/3.62 % (3053259)Time elapsed: 0.090 s
% 6.52/3.62 % (3053259)Peak memory usage: 112 MB
% 6.52/3.62 % (3053259)Instructions burned: 113 (million)
% 6.52/3.62 % (3053261)Instruction limit reached!
% 6.52/3.62 % (3053261)------------------------------
% 6.52/3.62 % (3053261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.62 % (3053261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.62 % (3053261)CaDiCaL version: 2.1.3
% 6.52/3.62 % (3053261)Termination reason: Instruction limit
% 6.52/3.62 % (3053261)Termination phase: Preprocessing 1
% 6.52/3.62 % (3053261)Time elapsed: 0.094 s
% 6.52/3.62 % (3053261)Peak memory usage: 113 MB
% 6.52/3.62 % (3053261)Instructions burned: 128 (million)
% 6.52/3.62 % (3053265)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1982993427:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2980 on theBenchmark for (2980ds/114Mi)
% 6.52/3.62 % (3053266)lrs+10_1_sil=8000:sp=occurrence:random_seed=2774752216:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2980 on theBenchmark for (2980ds/907Mi)
% 6.52/3.62 % (3053265)Instruction limit reached!
% 6.52/3.62 % (3053265)------------------------------
% 6.52/3.62 % (3053265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.62 % (3053265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.62 % (3053265)CaDiCaL version: 2.1.3
% 6.52/3.62 % (3053265)Termination reason: Instruction limit
% 6.52/3.62 % (3053265)Termination phase: Property scanning
% 6.52/3.62 % (3053265)Time elapsed: 0.050 s
% 6.52/3.62 % (3053265)Peak memory usage: 112 MB
% 6.52/3.62 % (3053265)Instructions burned: 115 (million)
% 6.52/3.62 % (3053267)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=793285629:i=437:sd=1:aac=none:ss=included_2979 on theBenchmark for (2979ds/437Mi)
% 6.52/3.62 % (3053270)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3229544189:i=5202:ss=axioms:sgt=16_2978 on theBenchmark for (2978ds/5202Mi)
% 6.52/3.62 % (3053267)First to succeed.
% 6.52/3.62 % (3053267)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3053230"
% 6.52/3.62 % (3053266)Instruction limit reached!
% 6.52/3.62 % (3053266)------------------------------
% 6.52/3.62 % (3053266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/3.62 % (3053266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/3.62 % (3053266)CaDiCaL version: 2.1.3
% 6.52/3.62 % (3053266)Termination reason: Instruction limit
% 6.52/3.62 % (3053266)Termination phase: Property scanning
% 6.52/3.62 % (3053266)Time elapsed: 0.543 s
% 6.52/3.62 % (3053266)Peak memory usage: 132 MB
% 6.52/3.62 % (3053266)Instructions burned: 909 (million)
% 6.52/3.62 % (3053267)Refutation found. Thanks to Tanya!
% 6.52/3.62 % SZS status Theorem for theBenchmark
% 6.52/3.62 % SZS output start Proof for theBenchmark
% See solution above
% 13.50/3.82 % (3053267)------------------------------
% 13.50/3.82 % (3053267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.50/3.82 % (3053267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.50/3.82 % (3053267)CaDiCaL version: 2.1.3
% 13.50/3.82 % (3053267)Termination reason: Refutation
% 13.50/3.82 % (3053267)Time elapsed: 0.300 s
% 13.50/3.82 % (3053267)Peak memory usage: 121 MB
% 13.50/3.82 % (3053267)Instructions burned: 411 (million)
% 13.50/3.82 % (3053267)------------------------------
% 13.50/3.82 % (3053267)------------------------------
% 13.50/3.82 % (3053230)Success in time 2.784 s
% 13.50/3.82 % Vampire exiting
%------------------------------------------------------------------------------