%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO068-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 09:51:25 AM UTC 2026
% Result : Unsatisfiable 18.94s 3.59s
% Output : Refutation 20.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 37
% Syntax : Number of formulae : 245 ( 55 unt; 19 def)
% Number of atoms : 617 ( 79 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 658 ( 286 ~; 353 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 20 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-5 aty)
% Number of variables : 298 ( 0 sgn 298 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ equidistant(X1,X6,X3,X7)
| ~ equidistant(X1,X4,X3,X5)
| ~ equidistant(X0,X6,X2,X7)
| ~ equidistant(X0,X1,X2,X3)
| ~ between(X0,X1,X4)
| ~ between(X2,X3,X5)
| X0 = X1
| equidistant(X4,X6,X5,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_five_segment) ).
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( between(X1,inner_pasch(X0,X1,X2,X4,X3),X3)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch1) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( between(X4,inner_pasch(X0,X1,X2,X4,X3),X0)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch2) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity1) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity2) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| colinear(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity3) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| between(X0,X1,X2)
| between(X1,X2,X0)
| between(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity4) ).
fof(f23,axiom,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).
fof(f24,axiom,
equidistant(v,w,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).
fof(f25,axiom,
equidistant(u,w,u1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_w_equals_u1_to_w1) ).
fof(f26,axiom,
colinear(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',uvw_colinear) ).
fof(f27,negated_conjecture,
~ colinear(u1,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_u1v1w1_colinear) ).
fof(f28,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f3,f5]) ).
fof(f29,plain,
! [X2,X0] : equidistant(X0,X0,X2,X2),
inference(superposition,[],[f5,f28]) ).
fof(f31,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f32,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,extension(X1,X0,X2,X3),X4,X5)
| equidistant(X4,X5,X2,X3) ),
inference(resolution,[],[f2,f5]) ).
fof(f33,plain,
! [X0,X1] :
( ~ equidistant(u,v,X0,X1)
| equidistant(X0,X1,u1,v1) ),
inference(resolution,[],[f2,f23]) ).
fof(f34,plain,
! [X0,X1] :
( ~ equidistant(u,w,X0,X1)
| equidistant(X0,X1,u1,w1) ),
inference(resolution,[],[f2,f25]) ).
fof(f35,plain,
! [X0,X1] :
( ~ equidistant(v,w,X0,X1)
| equidistant(X0,X1,v1,w1) ),
inference(resolution,[],[f2,f24]) ).
fof(f45,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f4,f28]) ).
fof(f46,plain,
! [X0,X1] : equidistant(X0,X1,X0,X1),
inference(resolution,[],[f31,f1]) ).
fof(f48,plain,
equidistant(u1,v1,v,u),
inference(resolution,[],[f31,f23]) ).
fof(f51,plain,
equidistant(v1,w1,w,v),
inference(resolution,[],[f31,f24]) ).
fof(f62,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X0,X1,X2)
| equidistant(X1,X2,X3,X3) ),
inference(resolution,[],[f29,f2]) ).
fof(f70,plain,
! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X2,X3),
inference(resolution,[],[f32,f1]) ).
fof(f74,plain,
! [X2,X3,X0,X1] : colinear(X0,X1,extension(X0,X1,X2,X3)),
inference(resolution,[],[f19,f4]) ).
fof(f75,plain,
! [X2,X3,X0,X1] : colinear(extension(X0,X1,X2,X3),X0,X1),
inference(resolution,[],[f20,f4]) ).
fof(f78,plain,
! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X0,X1)),
inference(resolution,[],[f70,f31]) ).
fof(f81,plain,
! [X0,X1] : colinear(X0,X1,X0),
inference(superposition,[],[f75,f28]) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( ~ between(X1,X3,X2)
| ~ between(X0,X1,X2)
| inner_pasch(X1,X3,X2,X1,X0) = X1 ),
inference(resolution,[],[f9,f7]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| inner_pasch(X1,X2,X2,X1,X0) = X1 ),
inference(resolution,[],[f45,f85]) ).
fof(f98,plain,
! [X0,X1] : colinear(X0,X0,X1),
inference(resolution,[],[f45,f21]) ).
fof(f100,plain,
! [X0,X1] : colinear(X0,X1,X1),
inference(resolution,[],[f45,f19]) ).
fof(f102,plain,
equidistant(v,u,v1,u1),
inference(resolution,[],[f48,f31]) ).
fof(f111,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,X4,extension(X5,X4,X0,X1))
| ~ equidistant(X0,X1,X2,X3) ),
inference(resolution,[],[f78,f2]) ).
fof(f113,plain,
! [X0,X1] : equidistant(X0,extension(X1,X0,v,w),v1,w1),
inference(resolution,[],[f78,f35]) ).
fof(f114,plain,
! [X0,X1] : equidistant(X0,extension(X1,X0,u,v),u1,v1),
inference(resolution,[],[f78,f33]) ).
fof(f115,plain,
! [X0,X1] : equidistant(X0,extension(X1,X0,u,w),u1,w1),
inference(resolution,[],[f78,f34]) ).
fof(f125,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X3,X4,X5,X4)
| ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X3,X0,X5,X0)
| ~ between(X3,X0,X1)
| ~ between(X5,X0,X2)
| X0 = X3
| equidistant(X1,X4,X2,X4) ),
inference(resolution,[],[f6,f46]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(u,X0,u1,X1)
| ~ equidistant(X2,w,X3,w1)
| ~ equidistant(X2,u,X3,u1)
| ~ between(X2,u,X0)
| ~ between(X3,u1,X1)
| u = X2
| equidistant(X0,w,X1,w1) ),
inference(resolution,[],[f6,f25]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(v,X0,v1,X1)
| ~ equidistant(X2,w,X3,w1)
| ~ equidistant(X2,v,X3,v1)
| ~ between(X2,v,X0)
| ~ between(X3,v1,X1)
| v = X2
| equidistant(X0,w,X1,w1) ),
inference(resolution,[],[f6,f24]) ).
fof(f146,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ between(X1,v1,extension(X3,v1,X4,X5))
| ~ equidistant(X0,v,X1,v1)
| ~ between(X0,v,X2)
| ~ equidistant(X0,w,X1,w1)
| v = X0
| equidistant(X2,w,extension(X3,v1,X4,X5),w1)
| ~ equidistant(X4,X5,v,X2) ),
inference(resolution,[],[f138,f111]) ).
fof(f160,plain,
! [X2,X3,X0,X1] :
( ~ between(X1,u1,extension(X3,u1,u,X2))
| ~ equidistant(X0,u,X1,u1)
| ~ between(X0,u,X2)
| ~ equidistant(X0,w,X1,w1)
| u = X0
| equidistant(X2,w,extension(X3,u1,u,X2),w1) ),
inference(resolution,[],[f137,f78]) ).
fof(f181,definition,
( spl0_5
<=> equidistant(w,v,w1,v1) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f182,plain,
( ~ equidistant(w,v,w1,v1)
| spl0_5 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f183,plain,
( equidistant(w,v,w1,v1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ equidistant(X0,w,X1,w1)
| ~ between(X0,u,X2)
| ~ equidistant(X0,u,X1,u1)
| u = X0
| equidistant(X2,w,extension(X1,u1,u,X2),w1) ),
inference(resolution,[],[f160,f4]) ).
fof(f229,definition,
( spl0_12
<=> v = w ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f230,plain,
( v != w
| spl0_12 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f231,plain,
( v = w
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f237,definition,
( spl0_14
<=> u = v ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f238,plain,
( u != v
| spl0_14 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f239,plain,
( u = v
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f304,plain,
! [X0] :
( ~ between(v,u,X0)
| ~ equidistant(v,u,v1,u1)
| u = v
| equidistant(X0,w,extension(v1,u1,u,X0),w1) ),
inference(resolution,[],[f201,f24]) ).
fof(f323,definition,
( spl0_23
<=> u = w ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f324,plain,
( u != w
| spl0_23 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f325,plain,
( u = w
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f361,definition,
( spl0_26
<=> equidistant(u,u,w1,v1) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f362,plain,
( ~ equidistant(u,u,w1,v1)
| spl0_26 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f363,plain,
( equidistant(u,u,w1,v1)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f369,plain,
! [X0] :
( ~ between(v,u,X0)
| u = v
| equidistant(X0,w,extension(v1,u1,u,X0),w1) ),
inference(forward_subsumption_resolution,[],[f304,f102]) ).
fof(f381,plain,
( ! [X0] :
( equidistant(X0,w,extension(v1,u1,u,X0),w1)
| ~ between(v,u,X0) )
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f369,f238]) ).
fof(f386,definition,
( spl0_29
<=> between(v,u,w) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f387,plain,
( between(v,u,w)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f388,plain,
( ~ between(v,u,w)
| spl0_29 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f390,definition,
( spl0_30
<=> between(v1,u1,w1) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f391,plain,
( between(v1,u1,w1)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f467,definition,
( spl0_38
<=> between(w,u,v) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f468,plain,
( between(w,u,v)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f469,plain,
( ~ between(w,u,v)
| spl0_38 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f473,plain,
! [X2,X3,X0,X1,X4] :
( ~ equidistant(X0,X1,X0,X2)
| ~ equidistant(X3,X0,X3,X0)
| ~ between(X3,X0,X1)
| ~ between(X3,X0,X2)
| X0 = X3
| equidistant(X1,X4,X2,X4) ),
inference(resolution,[],[f125,f46]) ).
fof(f485,plain,
! [X2,X3,X0,X1,X4] :
( ~ equidistant(X0,X1,X0,X2)
| ~ between(X3,X0,X1)
| ~ between(X3,X0,X2)
| X0 = X3
| equidistant(X1,X4,X2,X4) ),
inference(forward_subsumption_resolution,[],[f473,f46]) ).
fof(f497,plain,
equidistant(w,v,w1,v1),
inference(resolution,[],[f51,f31]) ).
fof(f499,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f497,f182]) ).
fof(f500,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f499]) ).
fof(f503,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(w,X0,w1,X1)
| ~ equidistant(X2,v,X3,v1)
| ~ equidistant(X2,w,X3,w1)
| ~ between(X2,w,X0)
| ~ between(X3,w1,X1)
| w = X2
| equidistant(X0,v,X1,v1) )
| ~ spl0_5 ),
inference(resolution,[],[f183,f6]) ).
fof(f677,plain,
( between(u,v,w)
| between(v,w,u)
| between(w,u,v) ),
inference(resolution,[],[f22,f26]) ).
fof(f682,plain,
( between(u,v,w)
| between(v,w,u)
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f677,f469]) ).
fof(f689,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ between(X0,X1,extension(X3,X1,X4,X5))
| ~ between(X0,X1,X2)
| X0 = X1
| equidistant(X2,X6,extension(X3,X1,X4,X5),X6)
| ~ equidistant(X4,X5,X1,X2) ),
inference(resolution,[],[f485,f111]) ).
fof(f693,plain,
! [X2,X0,X1] :
( ~ between(X0,v1,extension(X1,v1,v,w))
| ~ between(X0,v1,w1)
| v1 = X0
| equidistant(extension(X1,v1,v,w),X2,w1,X2) ),
inference(resolution,[],[f485,f113]) ).
fof(f711,plain,
( ! [X2,X0,X1] :
( ~ between(X0,v1,extension(X1,v1,v,v))
| ~ between(X0,v1,w1)
| v1 = X0
| equidistant(extension(X1,v1,v,w),X2,w1,X2) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f693,f231]) ).
fof(f714,plain,
( ! [X2,X0,X1] :
( ~ between(X0,v1,v1)
| ~ between(X0,v1,w1)
| v1 = X0
| equidistant(extension(X1,v1,v,w),X2,w1,X2) )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f711,f28]) ).
fof(f717,definition,
( spl0_41
<=> ! [X1] : equidistant(v1,X1,w1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f718,plain,
( ! [X1] : equidistant(v1,X1,w1,X1)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f720,definition,
( spl0_42
<=> ! [X0] :
( ~ between(X0,v1,w1)
| v1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f721,plain,
( ! [X0] :
( ~ between(X0,v1,w1)
| v1 = X0 )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f723,plain,
( ! [X2,X0,X1] :
( ~ between(X0,v1,w1)
| v1 = X0
| equidistant(extension(X1,v1,v,w),X2,w1,X2) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f714,f45]) ).
fof(f724,plain,
( ! [X2,X0,X1] :
( equidistant(extension(X1,v1,v,v),X2,w1,X2)
| ~ between(X0,v1,w1)
| v1 = X0 )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f723,f231]) ).
fof(f725,plain,
( ! [X2,X0] :
( equidistant(v1,X2,w1,X2)
| ~ between(X0,v1,w1)
| v1 = X0 )
| ~ spl0_12 ),
inference(forward_demodulation,[],[f724,f28]) ).
fof(f726,plain,
( spl0_42
| spl0_41
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f725,f229,f717,f720]) ).
fof(f728,definition,
( spl0_43
<=> between(v,w,u) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f730,plain,
( between(v,w,u)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f732,definition,
( spl0_44
<=> between(u,v,w) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f734,plain,
( between(u,v,w)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f735,plain,
( spl0_43
| spl0_44
| spl0_38 ),
inference(avatar_split_clause,[],[f682,f467,f732,f728]) ).
fof(f769,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,u,u),u1,w1)
| ~ spl0_23 ),
inference(superposition,[],[f115,f325]) ).
fof(f782,plain,
( ! [X0] : equidistant(X0,X0,u1,w1)
| ~ spl0_23 ),
inference(forward_demodulation,[],[f769,f28]) ).
fof(f802,plain,
( ! [X0,X1] :
( ~ between(X0,u1,u1)
| ~ between(X0,u1,w1)
| u1 = X0
| equidistant(u1,X1,w1,X1) )
| ~ spl0_23 ),
inference(resolution,[],[f782,f485]) ).
fof(f809,plain,
( ! [X0,X1] :
( ~ between(X0,u1,w1)
| u1 = X0
| equidistant(u1,X1,w1,X1) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f802,f45]) ).
fof(f813,definition,
( spl0_45
<=> ! [X1] : equidistant(u1,X1,w1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f814,plain,
( ! [X1] : equidistant(u1,X1,w1,X1)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f816,definition,
( spl0_46
<=> ! [X0] :
( ~ between(X0,u1,w1)
| u1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f817,plain,
( ! [X0] :
( ~ between(X0,u1,w1)
| u1 = X0 )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f818,plain,
( spl0_45
| spl0_46
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f809,f323,f816,f813]) ).
fof(f907,plain,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,extension(X0,X1,X4,X5),X3)
| X0 = X1
| ~ between(X0,X1,X2)
| ~ equidistant(X4,X5,X1,X2) ),
inference(resolution,[],[f689,f4]) ).
fof(f910,plain,
! [X2,X3,X0,X1,X4] :
( ~ equidistant(X3,X4,X1,X2)
| ~ between(X0,X1,X2)
| X0 = X1
| extension(X0,X1,X3,X4) = X2 ),
inference(resolution,[],[f907,f3]) ).
fof(f926,plain,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| X0 = X1
| extension(X0,X1,X1,X2) = X2 ),
inference(resolution,[],[f910,f46]) ).
fof(f1018,plain,
( ! [X0] :
( equidistant(extension(v1,u1,u,w),w1,X0,X0)
| ~ between(v,u,w) )
| spl0_14 ),
inference(resolution,[],[f62,f381]) ).
fof(f1029,plain,
( ! [X0] : equidistant(extension(v1,u1,u,w),w1,X0,X0)
| spl0_14
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1018,f387]) ).
fof(f1037,plain,
( w1 = extension(v1,u1,u,w)
| spl0_14
| ~ spl0_29 ),
inference(resolution,[],[f1029,f3]) ).
fof(f1058,plain,
( between(v1,u1,w1)
| spl0_14
| ~ spl0_29 ),
inference(superposition,[],[f4,f1037]) ).
fof(f1070,definition,
( spl0_57
<=> u1 = v1 ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f1071,plain,
( u1 != v1
| spl0_57 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f1072,plain,
( u1 = v1
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f1224,plain,
( u = w
| v = extension(w,u,u,v)
| ~ spl0_38 ),
inference(resolution,[],[f926,f468]) ).
fof(f1469,definition,
( spl0_68
<=> ! [X0] : equidistant(u1,v1,X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f1470,plain,
( ! [X0] : equidistant(u1,v1,X0,X0)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f1498,plain,
! [X2,X3,X0,X1,X4] :
( ~ equidistant(X3,X4,v,X2)
| ~ between(X0,v,X2)
| ~ equidistant(X0,w,X1,w1)
| v = X0
| equidistant(X2,w,extension(X1,v1,X3,X4),w1)
| ~ equidistant(X0,v,X1,v1) ),
inference(resolution,[],[f146,f4]) ).
fof(f1505,plain,
! [X2,X0,X1] :
( ~ equidistant(X0,w,X2,w1)
| ~ between(X0,v,X1)
| v = X0
| equidistant(X1,w,extension(X2,v1,X1,v),w1)
| ~ equidistant(X0,v,X2,v1) ),
inference(resolution,[],[f1498,f1]) ).
fof(f1594,definition,
( spl0_77
<=> v1 = w1 ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f1596,plain,
( v1 = w1
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f1602,definition,
( spl0_79
<=> u1 = w1 ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f1604,plain,
( u1 = w1
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f1602]) ).
fof(f1752,plain,
( ! [X0,X1] : equidistant(X0,extension(X1,X0,u,u),u1,v1)
| ~ spl0_14 ),
inference(superposition,[],[f114,f239]) ).
fof(f2008,plain,
( ~ colinear(u1,u1,w1)
| ~ spl0_57 ),
inference(superposition,[],[f27,f1072]) ).
fof(f2072,plain,
( $false
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f2008,f98]) ).
fof(f2073,plain,
~ spl0_57,
inference(avatar_contradiction_clause,[],[f2072]) ).
fof(f2134,plain,
( ! [X0] : equidistant(X0,X0,u1,v1)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1752,f28]) ).
fof(f2182,plain,
( ! [X0] : equidistant(u1,v1,X0,X0)
| ~ spl0_14 ),
inference(resolution,[],[f2134,f31]) ).
fof(f2193,plain,
( spl0_68
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f2182,f237,f1469]) ).
fof(f2201,plain,
( u1 = w1
| ~ spl0_45 ),
inference(resolution,[],[f814,f3]) ).
fof(f2210,plain,
( spl0_79
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f2201,f813,f1602]) ).
fof(f2219,plain,
( ! [X0] : equidistant(w1,v1,X0,X0)
| ~ spl0_26 ),
inference(resolution,[],[f363,f62]) ).
fof(f2231,plain,
( v1 = w1
| ~ spl0_41 ),
inference(resolution,[],[f718,f3]) ).
fof(f2240,plain,
( spl0_77
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f2231,f717,f1594]) ).
fof(f2382,plain,
( v1 = w1
| ~ spl0_26 ),
inference(resolution,[],[f2219,f3]) ).
fof(f2393,plain,
( spl0_77
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f2382,f361,f1594]) ).
fof(f2402,plain,
( ~ colinear(u1,v1,v1)
| ~ spl0_77 ),
inference(superposition,[],[f27,f1596]) ).
fof(f2467,plain,
( $false
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f2402,f100]) ).
fof(f2468,plain,
~ spl0_77,
inference(avatar_contradiction_clause,[],[f2467]) ).
fof(f2593,plain,
( v = extension(w,u,u,v)
| spl0_23
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1224,f324]) ).
fof(f2629,plain,
( ~ colinear(u1,v1,u1)
| ~ spl0_79 ),
inference(superposition,[],[f27,f1604]) ).
fof(f2677,plain,
( $false
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f2629,f81]) ).
fof(f2678,plain,
~ spl0_79,
inference(avatar_contradiction_clause,[],[f2677]) ).
fof(f2920,plain,
( u1 = v1
| ~ spl0_68 ),
inference(resolution,[],[f1470,f3]) ).
fof(f2931,plain,
( $false
| spl0_57
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f2920,f1071]) ).
fof(f2932,plain,
( spl0_57
| ~ spl0_68 ),
inference(avatar_contradiction_clause,[],[f2931]) ).
fof(f3268,plain,
! [X0] :
( ~ between(u,v,X0)
| u = v
| equidistant(X0,w,extension(u1,v1,X0,v),w1)
| ~ equidistant(u,v,u1,v1) ),
inference(resolution,[],[f1505,f25]) ).
fof(f3277,plain,
( ! [X0] :
( ~ between(u,v,X0)
| equidistant(X0,w,extension(u1,v1,X0,v),w1)
| ~ equidistant(u,v,u1,v1) )
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f3268,f238]) ).
fof(f3283,plain,
( ! [X0] :
( equidistant(X0,w,extension(u1,v1,X0,v),w1)
| ~ between(u,v,X0) )
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f3277,f23]) ).
fof(f3293,plain,
( ! [X0] :
( equidistant(extension(u1,v1,X0,v),w1,w,X0)
| ~ between(u,v,X0) )
| spl0_14 ),
inference(resolution,[],[f3283,f31]) ).
fof(f3507,plain,
( ~ between(u,v,w)
| w1 = extension(u1,v1,w,v)
| spl0_14 ),
inference(resolution,[],[f3293,f3]) ).
fof(f3583,plain,
! [X2,X3,X0,X1] : inner_pasch(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3),X0,X1) = X0,
inference(resolution,[],[f97,f4]) ).
fof(f3601,plain,
! [X2,X3,X0,X1] :
( between(extension(X1,X0,X2,X3),X0,X1)
| ~ between(X1,X0,extension(X1,X0,X2,X3))
| ~ between(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3)) ),
inference(superposition,[],[f8,f3583]) ).
fof(f3603,plain,
! [X2,X3,X0,X1] :
( between(extension(X1,X0,X2,X3),X0,X1)
| ~ between(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3)) ),
inference(forward_subsumption_resolution,[],[f3601,f4]) ).
fof(f3604,plain,
! [X2,X3,X0,X1] : between(extension(X1,X0,X2,X3),X0,X1),
inference(forward_subsumption_resolution,[],[f3603,f45]) ).
fof(f3624,plain,
( ! [X0,X1] : u1 = extension(w1,u1,X0,X1)
| ~ spl0_46 ),
inference(resolution,[],[f3604,f817]) ).
fof(f3630,plain,
( ! [X0,X1] : v1 = extension(w1,v1,X0,X1)
| ~ spl0_42 ),
inference(resolution,[],[f3604,f721]) ).
fof(f3642,plain,
( between(v,u,w)
| spl0_23
| ~ spl0_38 ),
inference(superposition,[],[f3604,f2593]) ).
fof(f3643,plain,
( $false
| spl0_23
| spl0_29
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f3642,f388]) ).
fof(f3644,plain,
( spl0_23
| spl0_29
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f3643]) ).
fof(f3859,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(v1,v1,X2,X3)
| equidistant(X2,X3,X0,X1) )
| ~ spl0_42 ),
inference(superposition,[],[f32,f3630]) ).
fof(f3861,plain,
( ! [X0,X1] : equidistant(v1,v1,X0,X1)
| ~ spl0_42 ),
inference(superposition,[],[f70,f3630]) ).
fof(f3898,plain,
( ! [X2,X3,X0,X1] : equidistant(X2,X3,X0,X1)
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f3859,f3861]) ).
fof(f3935,plain,
( $false
| spl0_26
| ~ spl0_42 ),
inference(resolution,[],[f3898,f362]) ).
fof(f3943,plain,
( spl0_26
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f3935]) ).
fof(f3965,plain,
( ! [X2,X3,X0,X1] :
( ~ equidistant(u1,u1,X2,X3)
| equidistant(X2,X3,X0,X1) )
| ~ spl0_46 ),
inference(superposition,[],[f32,f3624]) ).
fof(f3967,plain,
( ! [X0,X1] : equidistant(u1,u1,X0,X1)
| ~ spl0_46 ),
inference(superposition,[],[f70,f3624]) ).
fof(f4004,plain,
( ! [X2,X3,X0,X1] : equidistant(X2,X3,X0,X1)
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f3965,f3967]) ).
fof(f4043,plain,
( $false
| spl0_26
| ~ spl0_46 ),
inference(resolution,[],[f4004,f362]) ).
fof(f4051,plain,
( spl0_26
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f4043]) ).
fof(f4076,plain,
( v = w
| u = extension(v,w,w,u)
| ~ spl0_43 ),
inference(resolution,[],[f730,f926]) ).
fof(f4081,plain,
( u = extension(v,w,w,u)
| spl0_12
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f4076,f230]) ).
fof(f4850,plain,
( between(u,w,v)
| spl0_12
| ~ spl0_43 ),
inference(superposition,[],[f3604,f4081]) ).
fof(f5113,definition,
( spl0_161
<=> between(w1,u1,v1) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f5114,plain,
( between(w1,u1,v1)
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f5113]) ).
fof(f6056,plain,
( w1 = extension(u1,v1,w,v)
| spl0_14
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f3507,f734]) ).
fof(f6070,plain,
( colinear(u1,v1,w1)
| spl0_14
| ~ spl0_44 ),
inference(superposition,[],[f74,f6056]) ).
fof(f6114,plain,
( $false
| spl0_14
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f6070,f27]) ).
fof(f6115,plain,
( spl0_14
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f6114]) ).
fof(f6118,plain,
( spl0_30
| spl0_14
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1058,f386,f237,f390]) ).
fof(f6134,plain,
( u1 = v1
| w1 = extension(v1,u1,u1,w1)
| ~ spl0_30 ),
inference(resolution,[],[f391,f926]) ).
fof(f6140,plain,
( w1 = extension(v1,u1,u1,w1)
| ~ spl0_30
| spl0_57 ),
inference(forward_subsumption_resolution,[],[f6134,f1071]) ).
fof(f6176,plain,
( between(w1,u1,v1)
| ~ spl0_30
| spl0_57 ),
inference(superposition,[],[f3604,f6140]) ).
fof(f6415,plain,
( spl0_161
| ~ spl0_30
| spl0_57 ),
inference(avatar_split_clause,[],[f6176,f1070,f390,f5113]) ).
fof(f6702,plain,
( colinear(u1,v1,w1)
| ~ spl0_161 ),
inference(resolution,[],[f5114,f21]) ).
fof(f6714,plain,
( $false
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f6702,f27]) ).
fof(f6715,plain,
~ spl0_161,
inference(avatar_contradiction_clause,[],[f6714]) ).
fof(f7169,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ between(X1,w1,extension(X3,w1,X4,X5))
| ~ equidistant(X0,w,X1,w1)
| ~ between(X0,w,X2)
| ~ equidistant(X0,v,X1,v1)
| w = X0
| equidistant(X2,v,extension(X3,w1,X4,X5),v1)
| ~ equidistant(X4,X5,w,X2) )
| ~ spl0_5 ),
inference(resolution,[],[f503,f111]) ).
fof(f9002,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equidistant(X3,X4,w,X2)
| ~ between(X0,w,X2)
| ~ equidistant(X0,v,X1,v1)
| w = X0
| equidistant(X2,v,extension(X1,w1,X3,X4),v1)
| ~ equidistant(X0,w,X1,w1) )
| ~ spl0_5 ),
inference(resolution,[],[f7169,f4]) ).
fof(f9019,plain,
( ! [X2,X0,X1] :
( ~ equidistant(X0,w,X2,w1)
| ~ equidistant(X0,v,X2,v1)
| w = X0
| equidistant(X1,v,extension(X2,w1,X1,w),v1)
| ~ between(X0,w,X1) )
| ~ spl0_5 ),
inference(resolution,[],[f9002,f1]) ).
fof(f9088,plain,
( ! [X0] :
( ~ equidistant(u,v,u1,v1)
| u = w
| equidistant(X0,v,extension(u1,w1,X0,w),v1)
| ~ between(u,w,X0) )
| ~ spl0_5 ),
inference(resolution,[],[f9019,f25]) ).
fof(f9100,plain,
( ! [X0] :
( u = w
| equidistant(X0,v,extension(u1,w1,X0,w),v1)
| ~ between(u,w,X0) )
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f9088,f23]) ).
fof(f9114,plain,
( ! [X0] :
( equidistant(X0,v,extension(u1,w1,X0,w),v1)
| ~ between(u,w,X0) )
| ~ spl0_5
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f9100,f324]) ).
fof(f9120,plain,
( ! [X0] :
( ~ between(u,w,v)
| equidistant(extension(u1,w1,v,w),v1,X0,X0) )
| ~ spl0_5
| spl0_23 ),
inference(resolution,[],[f9114,f62]) ).
fof(f9156,plain,
( ! [X0] : equidistant(extension(u1,w1,v,w),v1,X0,X0)
| ~ spl0_5
| spl0_12
| spl0_23
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f9120,f4850]) ).
fof(f9163,plain,
( v1 = extension(u1,w1,v,w)
| ~ spl0_5
| spl0_12
| spl0_23
| ~ spl0_43 ),
inference(resolution,[],[f9156,f3]) ).
fof(f9244,plain,
( between(v1,w1,u1)
| ~ spl0_5
| spl0_12
| spl0_23
| ~ spl0_43 ),
inference(superposition,[],[f3604,f9163]) ).
fof(f9272,plain,
( colinear(u1,v1,w1)
| ~ spl0_5
| spl0_12
| spl0_23
| ~ spl0_43 ),
inference(resolution,[],[f9244,f20]) ).
fof(f9284,plain,
( $false
| ~ spl0_5
| spl0_12
| spl0_23
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f9272,f27]) ).
fof(f9285,plain,
( ~ spl0_5
| spl0_12
| spl0_23
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f9284]) ).
cnf(s18,plain,
spl0_5,
inference(sat_conversion,[],[f500]) ).
cnf(s21,plain,
( ~ spl0_12
| spl0_41
| spl0_42 ),
inference(sat_conversion,[],[f726]) ).
cnf(s22,plain,
( spl0_38
| spl0_43
| spl0_44 ),
inference(sat_conversion,[],[f735]) ).
cnf(s26,plain,
( ~ spl0_23
| spl0_45
| spl0_46 ),
inference(sat_conversion,[],[f818]) ).
cnf(s67,plain,
~ spl0_57,
inference(sat_conversion,[],[f2073]) ).
cnf(s70,plain,
( ~ spl0_14
| spl0_68 ),
inference(sat_conversion,[],[f2193]) ).
cnf(s72,plain,
( ~ spl0_45
| spl0_79 ),
inference(sat_conversion,[],[f2210]) ).
cnf(s74,plain,
( ~ spl0_41
| spl0_77 ),
inference(sat_conversion,[],[f2240]) ).
cnf(s78,plain,
( ~ spl0_26
| spl0_77 ),
inference(sat_conversion,[],[f2393]) ).
cnf(s81,plain,
~ spl0_77,
inference(sat_conversion,[],[f2468]) ).
cnf(s87,plain,
~ spl0_79,
inference(sat_conversion,[],[f2678]) ).
cnf(s92,plain,
( spl0_57
| ~ spl0_68 ),
inference(sat_conversion,[],[f2932]) ).
cnf(s107,plain,
( spl0_23
| spl0_29
| ~ spl0_38 ),
inference(sat_conversion,[],[f3644]) ).
cnf(s122,plain,
( spl0_26
| ~ spl0_42 ),
inference(sat_conversion,[],[f3943]) ).
cnf(s128,plain,
( spl0_26
| ~ spl0_46 ),
inference(sat_conversion,[],[f4051]) ).
cnf(s231,plain,
( spl0_14
| ~ spl0_44 ),
inference(sat_conversion,[],[f6115]) ).
cnf(s233,plain,
( spl0_14
| ~ spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f6118]) ).
cnf(s248,plain,
( ~ spl0_30
| spl0_57
| spl0_161 ),
inference(sat_conversion,[],[f6415]) ).
cnf(s255,plain,
~ spl0_161,
inference(sat_conversion,[],[f6715]) ).
cnf(s363,plain,
( ~ spl0_5
| spl0_12
| spl0_23
| ~ spl0_43 ),
inference(sat_conversion,[],[f9285]) ).
cnf(s366,plain,
( ~ spl0_30
| spl0_57 ),
inference(rat,[],[s248,s255]) ).
cnf(s372,plain,
~ spl0_26,
inference(rat,[],[s78,s81]) ).
cnf(s378,plain,
~ spl0_46,
inference(rat,[],[s128,s372]) ).
cnf(s379,plain,
~ spl0_42,
inference(rat,[],[s122,s372]) ).
cnf(s419,plain,
~ spl0_41,
inference(rat,[],[s74,s81]) ).
cnf(s420,plain,
~ spl0_45,
inference(rat,[],[s72,s87]) ).
cnf(s422,plain,
~ spl0_30,
inference(rat,[],[s366,s67]) ).
cnf(s423,plain,
~ spl0_68,
inference(rat,[],[s92,s67]) ).
cnf(s424,plain,
~ spl0_14,
inference(rat,[],[s70,s423]) ).
cnf(s425,plain,
~ spl0_29,
inference(rat,[],[s233,s422,s424]) ).
cnf(s426,plain,
~ spl0_44,
inference(rat,[],[s231,s424]) ).
cnf(s442,plain,
~ spl0_23,
inference(rat,[],[s26,s378,s420]) ).
cnf(s443,plain,
~ spl0_38,
inference(rat,[],[s107,s425,s442]) ).
cnf(s445,plain,
spl0_43,
inference(rat,[],[s22,s426,s443]) ).
cnf(s446,plain,
~ spl0_12,
inference(rat,[],[s21,s379,s419]) ).
cnf(s447,plain,
~ spl0_5,
inference(rat,[],[s363,s445,s442,s446]) ).
cnf(s448,plain,
$false,
inference(rat,[],[s18,s447]) ).
fof(f9286,plain,
$false,
inference(avatar_sat_refutation,[],[s448]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO068-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 06:51:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.75/2.37 % (3188810)Input is clausal, will run a generic CNF schedule.
% 10.75/2.37 % (3188817)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=839468002:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.75/2.37 % (3188816)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2324322139:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.75/2.37 % (3188821)dis-21_1_sil=8000:lcm=predicate:random_seed=160791121:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.75/2.37 % (3188815)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=3514288987:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.75/2.37 % (3188818)lrs+10_1_sil=8000:sp=occurrence:random_seed=948428875:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.75/2.37 % (3188820)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1374149005:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.75/2.37 % (3188819)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3441457750:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.75/2.37 % (3188819)Refutation not found, incomplete strategy
% 10.75/2.37 % (3188819)------------------------------
% 10.75/2.37 % (3188819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.37 % (3188819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.37 % (3188819)CaDiCaL version: 2.1.3
% 10.75/2.37 % (3188819)Termination reason: Refutation not found, incomplete strategy
% 10.75/2.37 % (3188819)Time elapsed: 0.001 s
% 10.75/2.37 % (3188819)Peak memory usage: 87 MB
% 10.75/2.37 % (3188821)Refutation not found, incomplete strategy
% 10.75/2.37 % (3188821)------------------------------
% 10.75/2.37 % (3188821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.37 % (3188821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.37 % (3188821)CaDiCaL version: 2.1.3
% 10.75/2.37 % (3188821)Termination reason: Refutation not found, incomplete strategy
% 10.75/2.37 % (3188821)Time elapsed: 0.002 s
% 10.75/2.37 % (3188821)Peak memory usage: 88 MB
% 10.75/2.37 % (3188821)Instructions burned: 1 (million)
% 10.75/2.37 % (3188818)Refutation not found, incomplete strategy
% 10.75/2.37 % (3188818)------------------------------
% 10.75/2.37 % (3188818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.37 % (3188818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.37 % (3188818)CaDiCaL version: 2.1.3
% 10.75/2.37 % (3188818)Termination reason: Refutation not found, incomplete strategy
% 10.75/2.37 % (3188818)Time elapsed: 0.003 s
% 10.75/2.37 % (3188818)Peak memory usage: 88 MB
% 10.75/2.37 % (3188818)Instructions burned: 4 (million)
% 10.75/2.37 % (3188820)Instruction limit reached!
% 10.75/2.37 % (3188820)------------------------------
% 10.75/2.37 % (3188820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.37 % (3188820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.37 % (3188820)CaDiCaL version: 2.1.3
% 10.75/2.37 % (3188820)Termination reason: Instruction limit
% 10.75/2.37 % (3188820)Termination phase: Saturation
% 10.75/2.37 % (3188820)Time elapsed: 0.119 s
% 10.75/2.37 % (3188820)Peak memory usage: 90 MB
% 10.75/2.37 % (3188820)Instructions burned: 181 (million)
% 10.75/2.37 % (3188821)------------------------------
% 10.75/2.37 % (3188821)------------------------------
% 10.75/2.37 % (3188819)------------------------------
% 10.75/2.37 % (3188819)------------------------------
% 10.75/2.37 % (3188818)------------------------------
% 10.75/2.37 % (3188818)------------------------------
% 10.75/2.37 % (3188829)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1122148121:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.75/2.37 % (3188829)Instruction limit reached!
% 10.75/2.37 % (3188829)------------------------------
% 10.75/2.37 % (3188829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.37 % (3188829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.37 % (3188829)CaDiCaL version: 2.1.3
% 10.75/2.37 % (3188829)Termination reason: Instruction limit
% 18.94/3.59 % (3188829)Termination phase: Saturation
% 18.94/3.59 % (3188829)Time elapsed: 0.104 s
% 18.94/3.59 % (3188829)Peak memory usage: 89 MB
% 18.94/3.59 % (3188829)Instructions burned: 143 (million)
% 18.94/3.59 % (3188831)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1580539735:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 18.94/3.59 % (3188832)lrs+10_64_to=lpo:sil=8000:random_seed=4277411991:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 18.94/3.59 % (3188830)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1963090015:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 18.94/3.59 % (3188831)Refutation not found, incomplete strategy
% 18.94/3.59 % (3188831)------------------------------
% 18.94/3.59 % (3188831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.59 % (3188831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.59 % (3188831)CaDiCaL version: 2.1.3
% 18.94/3.59 % (3188831)Termination reason: Refutation not found, incomplete strategy
% 18.94/3.59 % (3188831)Time elapsed: 0.001 s
% 18.94/3.59 % (3188831)Peak memory usage: 88 MB
% 18.94/3.59 % (3188831)Instructions burned: 1 (million)
% 18.94/3.59 % (3188830)Refutation not found, incomplete strategy
% 18.94/3.59 % (3188830)------------------------------
% 18.94/3.59 % (3188830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.59 % (3188830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.59 % (3188830)CaDiCaL version: 2.1.3
% 18.94/3.59 % (3188830)Termination reason: Refutation not found, incomplete strategy
% 18.94/3.59 % (3188830)Time elapsed: 0.030 s
% 18.94/3.59 % (3188830)Peak memory usage: 88 MB
% 18.94/3.59 % (3188830)Instructions burned: 57 (million)
% 18.94/3.59 % (3188832)Instruction limit reached!
% 18.94/3.59 % (3188832)------------------------------
% 18.94/3.59 % (3188832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.59 % (3188832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.59 % (3188832)CaDiCaL version: 2.1.3
% 18.94/3.59 % (3188832)Termination reason: Instruction limit
% 18.94/3.59 % (3188832)Termination phase: Saturation
% 18.94/3.59 % (3188832)Time elapsed: 0.078 s
% 18.94/3.59 % (3188832)Peak memory usage: 89 MB
% 18.94/3.59 % (3188832)Instructions burned: 126 (million)
% 18.94/3.59 % (3188837)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3132208341:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 18.94/3.59 % (3188838)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2559451815:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 18.94/3.59 % (3188831)------------------------------
% 18.94/3.59 % (3188831)------------------------------
% 18.94/3.59 % (3188837)Instruction limit reached!
% 18.94/3.59 % (3188837)------------------------------
% 18.94/3.59 % (3188837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.59 % (3188837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.59 % (3188837)CaDiCaL version: 2.1.3
% 18.94/3.59 % (3188837)Termination reason: Instruction limit
% 18.94/3.59 % (3188837)Termination phase: Saturation
% 18.94/3.59 % (3188837)Time elapsed: 0.128 s
% 18.94/3.59 % (3188837)Peak memory usage: 89 MB
% 18.94/3.59 % (3188837)Instructions burned: 195 (million)
% 18.94/3.59 % (3188830)------------------------------
% 18.94/3.59 % (3188830)------------------------------
% 18.94/3.59 % (3188838)Instruction limit reached!
% 18.94/3.59 % (3188838)------------------------------
% 18.94/3.59 % (3188838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.59 % (3188838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.59 % (3188838)CaDiCaL version: 2.1.3
% 18.94/3.59 % (3188838)Termination reason: Instruction limit
% 18.94/3.59 % (3188838)Termination phase: Saturation
% 18.94/3.59 % (3188838)Time elapsed: 0.104 s
% 18.94/3.59 % (3188838)Peak memory usage: 90 MB
% 18.94/3.59 % (3188838)Instructions burned: 157 (million)
% 18.94/3.59 % (3188841)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4149624161:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 18.94/3.59 % (3188842)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=631683508:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 18.94/3.59 % (3188843)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1029142032:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 18.94/3.59 % (3188842)Instruction limit reached!
% 18.94/3.59 % (3188842)------------------------------
% 18.94/3.59 % (3188842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.59 % (3188842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.59 % (3188842)CaDiCaL version: 2.1.3
% 18.94/3.59 % (3188842)Termination reason: Instruction limit
% 18.94/3.59 % (3188842)Termination phase: Saturation
% 18.94/3.59 % (3188842)Time elapsed: 0.059 s
% 18.94/3.59 % (3188842)Peak memory usage: 89 MB
% 18.94/3.59 % (3188842)Instructions burned: 106 (million)
% 18.94/3.59 % (3188844)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=327272784:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 18.94/3.59 % (3188843)Instruction limit reached!
% 18.94/3.59 % (3188843)------------------------------
% 18.94/3.59 % (3188843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.59 % (3188843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.59 % (3188843)CaDiCaL version: 2.1.3
% 18.94/3.59 % (3188843)Termination reason: Instruction limit
% 18.94/3.59 % (3188843)Termination phase: Saturation
% 18.94/3.59 % (3188843)Time elapsed: 0.072 s
% 18.94/3.59 % (3188843)Peak memory usage: 89 MB
% 18.94/3.59 % (3188843)Instructions burned: 107 (million)
% 18.94/3.59 % (3188848)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3065718147:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 18.94/3.59 % (3188850)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3866578908:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 18.94/3.59 % (3188844)Instruction limit reached!
% 18.94/3.59 % (3188844)------------------------------
% 18.94/3.59 % (3188844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.59 % (3188844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.59 % (3188844)CaDiCaL version: 2.1.3
% 18.94/3.59 % (3188844)Termination reason: Instruction limit
% 18.94/3.59 % (3188844)Termination phase: Saturation
% 18.94/3.59 % (3188844)Time elapsed: 0.170 s
% 18.94/3.59 % (3188844)Peak memory usage: 89 MB
% 18.94/3.59 % (3188844)Instructions burned: 242 (million)
% 18.94/3.59 % (3188850)Instruction limit reached!
% 18.94/3.59 % (3188850)------------------------------
% 18.94/3.59 % (3188850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.59 % (3188850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.59 % (3188850)CaDiCaL version: 2.1.3
% 18.94/3.59 % (3188850)Termination reason: Instruction limit
% 18.94/3.59 % (3188850)Termination phase: Saturation
% 18.94/3.59 % (3188850)Time elapsed: 0.089 s
% 18.94/3.59 % (3188850)Peak memory usage: 89 MB
% 18.94/3.59 % (3188850)Instructions burned: 134 (million)
% 18.94/3.59 % (3188853)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3408629302:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 18.94/3.59 % (3188854)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2431864270:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 18.94/3.59 % (3188854)Instruction limit reached!
% 18.94/3.59 % (3188854)------------------------------
% 18.94/3.59 % (3188854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.59 % (3188854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.59 % (3188854)CaDiCaL version: 2.1.3
% 18.94/3.59 % (3188854)Termination reason: Instruction limit
% 18.94/3.59 % (3188854)Termination phase: Saturation
% 18.94/3.59 % (3188854)Time elapsed: 0.129 s
% 18.94/3.59 % (3188854)Peak memory usage: 92 MB
% 18.94/3.59 % (3188854)Instructions burned: 193 (million)
% 18.94/3.59 % (3188853)Instruction limit reached!
% 18.94/3.59 % (3188853)------------------------------
% 18.94/3.59 % (3188853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.59 % (3188853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.59 % (3188853)CaDiCaL version: 2.1.3
% 18.94/3.59 % (3188853)Termination reason: Instruction limit
% 18.94/3.59 % (3188853)Termination phase: Saturation
% 18.94/3.59 % (3188853)Time elapsed: 0.271 s
% 18.94/3.59 % (3188853)Peak memory usage: 91 MB
% 18.94/3.59 % (3188853)Instructions burned: 499 (million)
% 18.94/3.59 % (3188857)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4207691795:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 18.94/3.59 % (3188858)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=908230781:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 18.94/3.59 % (3188857)Instruction limit reached!
% 18.94/3.59 % (3188857)------------------------------
% 18.94/3.59 % (3188857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.59 % (3188857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.59 % (3188857)CaDiCaL version: 2.1.3
% 18.94/3.59 % (3188857)Termination reason: Instruction limit
% 18.94/3.59 % (3188857)Termination phase: Saturation
% 18.94/3.59 % (3188857)Time elapsed: 0.173 s
% 18.94/3.59 % (3188857)Peak memory usage: 90 MB
% 18.94/3.59 % (3188857)Instructions burned: 265 (million)
% 18.94/3.59 % (3188858)Instruction limit reached!
% 18.94/3.59 % (3188858)------------------------------
% 18.94/3.59 % (3188858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.59 % (3188858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.59 % (3188858)CaDiCaL version: 2.1.3
% 18.94/3.59 % (3188858)Termination reason: Instruction limit
% 18.94/3.59 % (3188858)Termination phase: Saturation
% 18.94/3.59 % (3188858)Time elapsed: 0.103 s
% 18.94/3.59 % (3188858)Peak memory usage: 89 MB
% 18.94/3.59 % (3188858)Instructions burned: 156 (million)
% 18.94/3.59 % (3188861)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=223989783:i=3256:kws=precedence:bd=preordered:av=off_2982 on theBenchmark for (2982ds/3256Mi)
% 18.94/3.59 % (3188862)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=129976728:i=537:av=off:ss=included_2982 on theBenchmark for (2982ds/537Mi)
% 18.94/3.59 % (3188862)Refutation not found, incomplete strategy
% 18.94/3.59 % (3188862)------------------------------
% 18.94/3.59 % (3188862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.59 % (3188862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.59 % (3188862)CaDiCaL version: 2.1.3
% 18.94/3.59 % (3188862)Termination reason: Refutation not found, incomplete strategy
% 18.94/3.59 % (3188862)Time elapsed: 0.001 s
% 18.94/3.59 % (3188862)Peak memory usage: 87 MB
% 18.94/3.59 % (3188862)------------------------------
% 18.94/3.59 % (3188862)------------------------------
% 18.94/3.59 % (3188865)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2197729409:i=180:bd=preordered:av=off_2978 on theBenchmark for (2978ds/180Mi)
% 18.94/3.59 % (3188865)Instruction limit reached!
% 18.94/3.59 % (3188865)------------------------------
% 18.94/3.59 % (3188865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.94/3.59 % (3188865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.59 % (3188865)CaDiCaL version: 2.1.3
% 18.94/3.59 % (3188865)Termination reason: Instruction limit
% 18.94/3.59 % (3188865)Termination phase: Saturation
% 18.94/3.59 % (3188865)Time elapsed: 0.098 s
% 18.94/3.59 % (3188865)Peak memory usage: 89 MB
% 18.94/3.59 % (3188865)Instructions burned: 182 (million)
% 18.94/3.59 % (3188867)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=555686236:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2976 on theBenchmark for (2976ds/10307Mi)
% 18.94/3.59 % (3188841)First to succeed.
% 18.94/3.59 % (3188841)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3188810"
% 18.94/3.59 % (3188841)Refutation found. Thanks to Tanya!
% 18.94/3.59 % SZS status Unsatisfiable for theBenchmark
% 18.94/3.59 % SZS output start Proof for theBenchmark
% See solution above
% 20.02/3.78 % (3188841)------------------------------
% 20.02/3.78 % (3188841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.02/3.78 % (3188841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.02/3.78 % (3188841)CaDiCaL version: 2.1.3
% 20.02/3.78 % (3188841)Termination reason: Refutation
% 20.02/3.78 % (3188841)Time elapsed: 1.603 s
% 20.02/3.78 % (3188841)Peak memory usage: 142 MB
% 20.02/3.78 % (3188841)Instructions burned: 2432 (million)
% 20.02/3.78 % (3188841)------------------------------
% 20.02/3.78 % (3188841)------------------------------
% 20.02/3.78 % (3188810)Success in time 2.753 s
% 20.02/3.78 % Vampire exiting
%------------------------------------------------------------------------------