%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO495+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 09:52:48 AM UTC 2026
% Result : Theorem 12.17s 2.68s
% Output : Refutation 13.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 100 ( 26 unt; 5 def)
% Number of atoms : 218 ( 46 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 220 ( 102 ~; 104 |; 9 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-4 aty)
% Number of variables : 163 ( 0 sgn 159 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2,X3] :
( s_t(X0,X1,ext(X0,X1,X2,X3))
& s_e(X1,ext(X0,X1,X2,X3),X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA4) ).
fof(f6,axiom,
! [X0,X1] :
( ~ s_t(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA6) ).
fof(f10,axiom,
! [X0,X1,X2,X3] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_2) ).
fof(f11,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X2,X3,X4,X5)
| s_e(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_3) ).
fof(f14,axiom,
! [X0,X1] : s_e(X0,X0,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_8) ).
fof(f16,axiom,
! [X0,X1,X2,X3,X4] :
( X0 = X1
| ~ s_t(X0,X1,X2)
| ~ s_e(X1,X2,X3,X4)
| X2 = ext(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_12) ).
fof(f17,axiom,
! [X0,X1,X2] :
( ~ s_e(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_13) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ~ s_t(X0,X1,X2)
| s_t(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_2) ).
fof(f23,axiom,
! [X0,X1,X2] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X1,X0,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_4) ).
fof(f29,axiom,
! [X0,X1,X2,X3] :
( ~ s_t(X0,X1,X2)
| ~ s_t(X1,X2,X3)
| X1 = X2
| s_t(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_7b) ).
fof(f34,axiom,
! [X0,X1] : X0 != ext(X1,X0,alpha,gamma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_14b) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( ~ le(X0,X1,X2,X3)
| s_t(X0,X1,ins(X2,X3,X0,X1)) )
& ( ~ le(X0,X1,X2,X3)
| s_e(X0,ins(X2,X3,X0,X1),X2,X3) )
& ( ~ le(X0,X1,X2,X3)
| ins(X2,X3,X0,X1) = ext(X0,X1,insert(X0,X1,X2,X3),X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_5a) ).
fof(f61,conjecture,
! [X0,X1,X2,X3] :
( ~ le(X0,X1,X2,X3)
| ~ le(X2,X3,X0,X1)
| s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_9) ).
fof(f62,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ~ le(X0,X1,X2,X3)
| ~ le(X2,X3,X0,X1)
| s_e(X0,X1,X2,X3) ),
inference(negated_conjecture,[status(cth)],[f61]) ).
fof(f63,axiom,
! [X0,X1,X2,X3] : insert(X0,X1,X2,X3) = ext(ext(X3,X2,alpha,gamma),X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_insert) ).
fof(f69,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ le(X0,X1,X2,X3)
| s_t(X2,insert(X0,X1,X2,X3),X3) )
& ( ~ le(X0,X1,X2,X3)
| s_e(X0,X1,X2,insert(X0,X1,X2,X3)) )
& ( ~ s_t(X2,X4,X3)
| ~ s_e(X0,X1,X2,X4)
| le(X0,X1,X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn5_4) ).
fof(f70,plain,
? [X0,X1,X2,X3] :
( le(X0,X1,X2,X3)
& le(X2,X3,X0,X1)
& ~ s_e(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f62]) ).
fof(f71,plain,
( le(sK0,sK1,sK2,sK3)
& le(sK2,sK3,sK0,sK1)
& ~ s_e(sK0,sK1,sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f70]) ).
fof(f75,plain,
! [X2,X3,X0,X1] : s_e(X1,ext(X0,X1,X2,X3),X2,X3),
inference(cnf_transformation,[],[f4]) ).
fof(f76,plain,
! [X2,X3,X0,X1] : s_t(X0,X1,ext(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f4]) ).
fof(f78,plain,
! [X0,X1] :
( ~ s_t(X0,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f6]) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f86,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3)
| s_e(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f11]) ).
fof(f89,plain,
! [X0,X1] : s_e(X0,X0,X1,X1),
inference(cnf_transformation,[],[f14]) ).
fof(f91,plain,
! [X2,X3,X0,X1,X4] :
( ~ s_e(X1,X2,X3,X4)
| ~ s_t(X0,X1,X2)
| X0 = X1
| ext(X0,X1,X3,X4) = X2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ s_e(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_t(X2,X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f104,plain,
! [X2,X3,X0,X1] :
( ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2)
| X1 = X2
| s_t(X0,X1,X3) ),
inference(cnf_transformation,[],[f29]) ).
fof(f109,plain,
! [X0,X1] : ext(X1,X0,alpha,gamma) != X0,
inference(cnf_transformation,[],[f34]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| ins(X2,X3,X0,X1) = ext(X0,X1,insert(X0,X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f56]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( s_e(X0,ins(X2,X3,X0,X1),X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f56]) ).
fof(f140,plain,
~ s_e(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f71]) ).
fof(f141,plain,
le(sK2,sK3,sK0,sK1),
inference(cnf_transformation,[],[f71]) ).
fof(f142,plain,
le(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f71]) ).
fof(f143,plain,
! [X2,X3,X0,X1] : insert(X0,X1,X2,X3) = ext(ext(X3,X2,alpha,gamma),X2,X0,X1),
inference(cnf_transformation,[],[f63]) ).
fof(f173,plain,
! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| s_t(X2,insert(X0,X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f69]) ).
fof(f176,plain,
! [X2,X3,X0,X1] :
( ~ le(X0,X1,X2,X3)
| ins(X2,X3,X0,X1) = ext(X0,X1,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3) ),
inference(definition_unfolding,[],[f133,f143]) ).
fof(f177,plain,
! [X2,X3,X0,X1] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ le(X0,X1,X2,X3) ),
inference(definition_unfolding,[],[f173,f143]) ).
fof(f193,plain,
! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X2)
| s_e(X0,X1,X3,X3) ),
inference(resolution,[],[f86,f89]) ).
fof(f207,plain,
ins(sK0,sK1,sK2,sK3) = ext(sK2,sK3,ext(ext(sK1,sK0,alpha,gamma),sK0,sK2,sK3),sK1),
inference(resolution,[],[f176,f141]) ).
fof(f216,plain,
! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,ins(X0,X1,X2,X3))
| ~ le(X2,X3,X0,X1) ),
inference(resolution,[],[f85,f134]) ).
fof(f327,plain,
! [X2,X3,X0,X1] : s_e(X0,ext(X1,X0,X2,X2),X3,X3),
inference(resolution,[],[f193,f75]) ).
fof(f464,plain,
! [X2,X0,X1] : ext(X1,X0,X2,X2) = X0,
inference(resolution,[],[f92,f327]) ).
fof(f501,plain,
! [X2,X3,X0,X1] : s_t(ext(X0,X1,X2,X3),X1,X0),
inference(resolution,[],[f76,f96]) ).
fof(f502,plain,
s_t(sK2,sK3,ins(sK0,sK1,sK2,sK3)),
inference(superposition,[],[f76,f207]) ).
fof(f510,plain,
s_t(ins(sK0,sK1,sK2,sK3),sK3,sK2),
inference(resolution,[],[f502,f96]) ).
fof(f784,plain,
! [X2,X0,X1] :
( ~ le(X1,X2,X0,X0)
| ext(ext(X0,X0,alpha,gamma),X0,X1,X2) = X0 ),
inference(resolution,[],[f78,f177]) ).
fof(f803,plain,
( ~ s_t(sK3,ins(sK0,sK1,sK2,sK3),sK2)
| sK3 = ins(sK0,sK1,sK2,sK3) ),
inference(resolution,[],[f98,f510]) ).
fof(f807,definition,
( spl4_1
<=> sK2 = sK3 ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f809,plain,
( sK2 = sK3
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f825,definition,
( spl4_5
<=> sK3 = ins(sK0,sK1,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f827,plain,
( sK3 = ins(sK0,sK1,sK2,sK3)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f829,definition,
( spl4_6
<=> s_t(sK3,ins(sK0,sK1,sK2,sK3),sK2) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f831,plain,
( ~ s_t(sK3,ins(sK0,sK1,sK2,sK3),sK2)
| spl4_6 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f832,plain,
( spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f803,f829,f825]) ).
fof(f834,definition,
( spl4_7
<=> sK1 = ins(sK2,sK3,sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f835,plain,
( sK1 != ins(sK2,sK3,sK0,sK1)
| spl4_7 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f836,plain,
( sK1 = ins(sK2,sK3,sK0,sK1)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f1034,plain,
! [X0] :
( ~ s_t(X0,sK2,sK3)
| sK2 = sK3
| s_t(X0,sK2,ins(sK0,sK1,sK2,sK3)) ),
inference(resolution,[],[f104,f502]) ).
fof(f1036,definition,
( spl4_9
<=> ! [X0] :
( ~ s_t(X0,sK2,sK3)
| s_t(X0,sK2,ins(sK0,sK1,sK2,sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f1037,plain,
( ! [X0] :
( s_t(X0,sK2,ins(sK0,sK1,sK2,sK3))
| ~ s_t(X0,sK2,sK3) )
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f1038,plain,
( spl4_1
| spl4_9 ),
inference(avatar_split_clause,[],[f1034,f1036,f807]) ).
fof(f1096,plain,
( s_e(sK0,sK1,sK2,sK3)
| ~ le(sK2,sK3,sK0,sK1)
| ~ spl4_5 ),
inference(superposition,[],[f216,f827]) ).
fof(f1130,plain,
( ~ le(sK2,sK3,sK0,sK1)
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f1096,f140]) ).
fof(f1146,plain,
( $false
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f1130,f141]) ).
fof(f1147,plain,
~ spl4_5,
inference(avatar_contradiction_clause,[],[f1146]) ).
fof(f1151,plain,
( s_e(sK0,sK1,sK2,sK3)
| ~ le(sK0,sK1,sK2,sK3)
| ~ spl4_7 ),
inference(superposition,[],[f134,f836]) ).
fof(f1198,plain,
( ~ le(sK0,sK1,sK2,sK3)
| ~ spl4_7 ),
inference(forward_subsumption_resolution,[],[f1151,f140]) ).
fof(f1208,plain,
( $false
| ~ spl4_7 ),
inference(forward_subsumption_resolution,[],[f1198,f142]) ).
fof(f1209,plain,
~ spl4_7,
inference(avatar_contradiction_clause,[],[f1208]) ).
fof(f2634,plain,
( le(sK0,sK1,sK2,sK2)
| ~ spl4_1 ),
inference(superposition,[],[f142,f809]) ).
fof(f2649,plain,
( sK1 != ins(sK2,sK2,sK0,sK1)
| ~ spl4_1
| spl4_7 ),
inference(superposition,[],[f835,f809]) ).
fof(f2686,plain,
( ins(sK2,sK2,sK0,sK1) = ext(sK0,sK1,ext(ext(sK2,sK2,alpha,gamma),sK2,sK0,sK1),sK2)
| ~ spl4_1 ),
inference(resolution,[],[f2634,f176]) ).
fof(f2690,plain,
( sK2 = ext(ext(sK2,sK2,alpha,gamma),sK2,sK0,sK1)
| ~ spl4_1 ),
inference(resolution,[],[f2634,f784]) ).
fof(f2704,plain,
( ins(sK2,sK2,sK0,sK1) = ext(sK0,sK1,sK2,sK2)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f2686,f2690]) ).
fof(f2707,plain,
( sK1 = ins(sK2,sK2,sK0,sK1)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f2704,f464]) ).
fof(f2711,plain,
( $false
| ~ spl4_1
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f2707,f2649]) ).
fof(f2712,plain,
( ~ spl4_1
| spl4_7 ),
inference(avatar_contradiction_clause,[],[f2711]) ).
fof(f4156,plain,
! [X2,X3,X0,X1,X4] :
( ~ s_t(X0,X1,ins(X2,X3,X1,X4))
| X0 = X1
| ext(X0,X1,X2,X3) = ins(X2,X3,X1,X4)
| ~ le(X1,X4,X2,X3) ),
inference(resolution,[],[f91,f134]) ).
fof(f4189,plain,
( ! [X0] :
( sK2 = X0
| ins(sK0,sK1,sK2,sK3) = ext(X0,sK2,sK0,sK1)
| ~ le(sK2,sK3,sK0,sK1)
| ~ s_t(X0,sK2,sK3) )
| ~ spl4_9 ),
inference(resolution,[],[f4156,f1037]) ).
fof(f4206,plain,
( ! [X0] :
( ~ s_t(X0,sK2,sK3)
| ins(sK0,sK1,sK2,sK3) = ext(X0,sK2,sK0,sK1)
| sK2 = X0 )
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f4189,f141]) ).
fof(f4215,plain,
( ! [X0,X1] :
( ins(sK0,sK1,sK2,sK3) = ext(ext(sK3,sK2,X0,X1),sK2,sK0,sK1)
| sK2 = ext(sK3,sK2,X0,X1) )
| ~ spl4_9 ),
inference(resolution,[],[f4206,f501]) ).
fof(f5358,plain,
( s_t(sK2,ins(sK0,sK1,sK2,sK3),sK3)
| ~ le(sK0,sK1,sK2,sK3)
| sK2 = ext(sK3,sK2,alpha,gamma)
| ~ spl4_9 ),
inference(superposition,[],[f177,f4215]) ).
fof(f5395,plain,
( s_t(sK2,ins(sK0,sK1,sK2,sK3),sK3)
| sK2 = ext(sK3,sK2,alpha,gamma)
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f5358,f142]) ).
fof(f5402,plain,
( s_t(sK2,ins(sK0,sK1,sK2,sK3),sK3)
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f5395,f109]) ).
fof(f5513,plain,
( s_t(sK3,ins(sK0,sK1,sK2,sK3),sK2)
| ~ spl4_9 ),
inference(resolution,[],[f5402,f96]) ).
fof(f5527,plain,
( $false
| spl4_6
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f5513,f831]) ).
fof(f5528,plain,
( spl4_6
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f5527]) ).
cnf(s3,plain,
( spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f832]) ).
cnf(s5,plain,
( spl4_1
| spl4_9 ),
inference(sat_conversion,[],[f1038]) ).
cnf(s11,plain,
~ spl4_5,
inference(sat_conversion,[],[f1147]) ).
cnf(s13,plain,
~ spl4_7,
inference(sat_conversion,[],[f1209]) ).
cnf(s61,plain,
( ~ spl4_1
| spl4_7 ),
inference(sat_conversion,[],[f2712]) ).
cnf(s136,plain,
( spl4_6
| ~ spl4_9 ),
inference(sat_conversion,[],[f5528]) ).
cnf(s142,plain,
~ spl4_1,
inference(rat,[],[s61,s13]) ).
cnf(s159,plain,
spl4_9,
inference(rat,[],[s5,s142]) ).
cnf(s160,plain,
spl4_6,
inference(rat,[],[s136,s159]) ).
cnf(s173,plain,
$false,
inference(rat,[],[s3,s160,s11]) ).
fof(f5529,plain,
$false,
inference(avatar_sat_refutation,[],[s173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO495+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n020.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 08:21:34 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 11.46/2.54 % (3090830)Detected formulas, will run a generic FOF schedule.
% 11.46/2.54 % (3090838)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1741875244:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.46/2.54 % (3090838)Refutation not found, incomplete strategy
% 11.46/2.54 % (3090838)------------------------------
% 11.46/2.54 % (3090838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.54 % (3090838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.54 % (3090838)CaDiCaL version: 2.1.3
% 11.46/2.54 % (3090838)Termination reason: Refutation not found, incomplete strategy
% 11.46/2.54 % (3090838)Time elapsed: 0.001 s
% 11.46/2.54 % (3090838)Peak memory usage: 88 MB
% 11.46/2.54 % (3090838)Instructions burned: 1 (million)
% 11.46/2.54 % (3090839)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2930615314:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.46/2.54 % (3090837)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=3920512212:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.46/2.54 % (3090836)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=4152204061:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.46/2.54 % (3090835)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=2895551907:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.46/2.54 % (3090841)dis-21_1_sil=8000:lcm=predicate:random_seed=1241461518: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)
% 11.46/2.54 % (3090840)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=696388876:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.46/2.54 % (3090839)Instruction limit reached!
% 11.46/2.54 % (3090839)------------------------------
% 11.46/2.54 % (3090839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.54 % (3090839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.54 % (3090839)CaDiCaL version: 2.1.3
% 11.46/2.54 % (3090839)Termination reason: Instruction limit
% 11.46/2.54 % (3090839)Termination phase: Saturation
% 11.46/2.54 % (3090839)Time elapsed: 0.060 s
% 11.46/2.54 % (3090839)Peak memory usage: 88 MB
% 11.46/2.54 % (3090839)Instructions burned: 120 (million)
% 11.46/2.54 % (3090841)Instruction limit reached!
% 11.46/2.54 % (3090841)------------------------------
% 11.46/2.54 % (3090841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.54 % (3090841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.54 % (3090841)CaDiCaL version: 2.1.3
% 11.46/2.54 % (3090841)Termination reason: Instruction limit
% 11.46/2.54 % (3090841)Termination phase: Saturation
% 11.46/2.54 % (3090841)Time elapsed: 0.078 s
% 11.46/2.54 % (3090841)Peak memory usage: 89 MB
% 11.46/2.54 % (3090841)Instructions burned: 129 (million)
% 11.46/2.54 % (3090840)Instruction limit reached!
% 11.46/2.54 % (3090840)------------------------------
% 11.46/2.54 % (3090840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/2.54 % (3090840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/2.54 % (3090840)CaDiCaL version: 2.1.3
% 11.46/2.54 % (3090840)Termination reason: Instruction limit
% 11.46/2.54 % (3090840)Termination phase: Saturation
% 11.46/2.54 % (3090840)Time elapsed: 0.089 s
% 11.46/2.54 % (3090840)Peak memory usage: 89 MB
% 11.46/2.54 % (3090840)Instructions burned: 139 (million)
% 11.46/2.54 % (3090838)------------------------------
% 11.46/2.54 % (3090838)------------------------------
% 11.46/2.54 % (3090849)lrs+10_1_sil=8000:sp=occurrence:random_seed=2588725579:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.46/2.54 % (3090851)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3784870398:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.46/2.54 % (3090850)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2525280751:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.46/2.54 % (3090852)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=1786117249:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 12.17/2.68 % (3090850)Instruction limit reached!
% 12.17/2.68 % (3090850)------------------------------
% 12.17/2.68 % (3090850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.17/2.68 % (3090850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.68 % (3090850)CaDiCaL version: 2.1.3
% 12.17/2.68 % (3090850)Termination reason: Instruction limit
% 12.17/2.68 % (3090850)Termination phase: Saturation
% 12.17/2.68 % (3090850)Time elapsed: 0.081 s
% 12.17/2.68 % (3090850)Peak memory usage: 89 MB
% 12.17/2.68 % (3090850)Instructions burned: 159 (million)
% 12.17/2.68 % (3090851)Instruction limit reached!
% 12.17/2.68 % (3090851)------------------------------
% 12.17/2.68 % (3090851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.17/2.68 % (3090851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.68 % (3090851)CaDiCaL version: 2.1.3
% 12.17/2.68 % (3090851)Termination reason: Instruction limit
% 12.17/2.68 % (3090851)Termination phase: Saturation
% 12.17/2.68 % (3090851)Time elapsed: 0.107 s
% 12.17/2.68 % (3090851)Peak memory usage: 90 MB
% 12.17/2.68 % (3090851)Instructions burned: 326 (million)
% 12.17/2.68 % (3090852)Instruction limit reached!
% 12.17/2.68 % (3090852)------------------------------
% 12.17/2.68 % (3090852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.17/2.68 % (3090852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.68 % (3090852)CaDiCaL version: 2.1.3
% 12.17/2.68 % (3090852)Termination reason: Instruction limit
% 12.17/2.68 % (3090852)Termination phase: Saturation
% 12.17/2.68 % (3090852)Time elapsed: 0.131 s
% 12.17/2.68 % (3090852)Peak memory usage: 89 MB
% 12.17/2.68 % (3090852)Instructions burned: 249 (million)
% 12.17/2.68 % (3090849)Instruction limit reached!
% 12.17/2.68 % (3090849)------------------------------
% 12.17/2.68 % (3090849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.17/2.68 % (3090849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.68 % (3090849)CaDiCaL version: 2.1.3
% 12.17/2.68 % (3090849)Termination reason: Instruction limit
% 12.17/2.68 % (3090849)Termination phase: Saturation
% 12.17/2.68 % (3090849)Time elapsed: 0.186 s
% 12.17/2.68 % (3090849)Peak memory usage: 91 MB
% 12.17/2.68 % (3090849)Instructions burned: 285 (million)
% 12.17/2.68 % (3090858)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1735427608:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 12.17/2.68 % (3090857)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1119208218:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 12.17/2.68 % (3090859)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=164809266:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 12.17/2.68 % (3090860)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2471849875:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 12.17/2.68 % (3090859)Instruction limit reached!
% 12.17/2.68 % (3090859)------------------------------
% 12.17/2.68 % (3090859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.17/2.68 % (3090859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.68 % (3090859)CaDiCaL version: 2.1.3
% 12.17/2.68 % (3090859)Termination reason: Instruction limit
% 12.17/2.68 % (3090859)Termination phase: Saturation
% 12.17/2.68 % (3090859)Time elapsed: 0.064 s
% 12.17/2.68 % (3090859)Peak memory usage: 89 MB
% 12.17/2.68 % (3090859)Instructions burned: 113 (million)
% 12.17/2.68 % (3090857)Instruction limit reached!
% 12.17/2.68 % (3090857)------------------------------
% 12.17/2.68 % (3090857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.17/2.68 % (3090857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.68 % (3090857)CaDiCaL version: 2.1.3
% 12.17/2.68 % (3090857)Termination reason: Instruction limit
% 12.17/2.68 % (3090857)Termination phase: Saturation
% 12.17/2.68 % (3090857)Time elapsed: 0.164 s
% 12.17/2.68 % (3090857)Peak memory usage: 88 MB
% 12.17/2.68 % (3090857)Instructions burned: 295 (million)
% 12.17/2.68 % (3090860)Instruction limit reached!
% 12.17/2.68 % (3090860)------------------------------
% 12.17/2.68 % (3090860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.17/2.68 % (3090860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.68 % (3090860)CaDiCaL version: 2.1.3
% 12.17/2.68 % (3090860)Termination reason: Instruction limit
% 12.17/2.68 % (3090860)Termination phase: Saturation
% 12.17/2.68 % (3090860)Time elapsed: 0.067 s
% 12.17/2.68 % (3090860)Peak memory usage: 89 MB
% 12.17/2.68 % (3090860)Instructions burned: 128 (million)
% 12.17/2.68 % (3090865)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3886205603:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 12.17/2.68 % (3090866)lrs+10_1_sil=8000:sp=occurrence:random_seed=1505871969:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 12.17/2.68 % (3090867)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=164123025:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 12.17/2.68 % (3090865)Instruction limit reached!
% 12.17/2.68 % (3090865)------------------------------
% 12.17/2.68 % (3090865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.17/2.68 % (3090865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.68 % (3090865)CaDiCaL version: 2.1.3
% 12.17/2.68 % (3090865)Termination reason: Instruction limit
% 12.17/2.68 % (3090865)Termination phase: Saturation
% 12.17/2.68 % (3090865)Time elapsed: 0.060 s
% 12.17/2.68 % (3090865)Peak memory usage: 88 MB
% 12.17/2.68 % (3090865)Instructions burned: 114 (million)
% 12.17/2.68 % (3090871)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1670225150:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 12.17/2.68 % (3090867)Instruction limit reached!
% 12.17/2.68 % (3090867)------------------------------
% 12.17/2.68 % (3090867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.17/2.68 % (3090867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.68 % (3090867)CaDiCaL version: 2.1.3
% 12.17/2.68 % (3090867)Termination reason: Instruction limit
% 12.17/2.68 % (3090867)Termination phase: Saturation
% 12.17/2.68 % (3090867)Time elapsed: 0.253 s
% 12.17/2.68 % (3090867)Peak memory usage: 91 MB
% 12.17/2.68 % (3090867)Instructions burned: 438 (million)
% 12.17/2.68 % (3090873)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2793815241:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 12.17/2.68 % (3090858)Instruction limit reached!
% 12.17/2.68 % (3090858)------------------------------
% 12.17/2.68 % (3090858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.17/2.68 % (3090858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.68 % (3090858)CaDiCaL version: 2.1.3
% 12.17/2.68 % (3090858)Termination reason: Instruction limit
% 12.17/2.68 % (3090858)Termination phase: Saturation
% 12.17/2.68 % (3090858)Time elapsed: 0.810 s
% 12.17/2.68 % (3090858)Peak memory usage: 140 MB
% 12.17/2.68 % (3090858)Instructions burned: 2351 (million)
% 12.17/2.68 % (3090873)Instruction limit reached!
% 12.17/2.68 % (3090873)------------------------------
% 12.17/2.68 % (3090873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.17/2.68 % (3090873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.68 % (3090873)CaDiCaL version: 2.1.3
% 12.17/2.68 % (3090873)Termination reason: Instruction limit
% 12.17/2.68 % (3090873)Termination phase: Saturation
% 12.17/2.68 % (3090873)Time elapsed: 0.068 s
% 12.17/2.68 % (3090873)Peak memory usage: 90 MB
% 12.17/2.68 % (3090873)Instructions burned: 134 (million)
% 12.17/2.68 % (3090866)Instruction limit reached!
% 12.17/2.68 % (3090866)------------------------------
% 12.17/2.68 % (3090866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.17/2.68 % (3090866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.68 % (3090866)CaDiCaL version: 2.1.3
% 12.17/2.68 % (3090866)Termination reason: Instruction limit
% 12.17/2.68 % (3090866)Termination phase: Saturation
% 12.17/2.68 % (3090866)Time elapsed: 0.591 s
% 12.17/2.68 % (3090866)Peak memory usage: 96 MB
% 12.17/2.68 % (3090866)Instructions burned: 907 (million)
% 12.17/2.68 % (3090875)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1707758943:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 12.17/2.68 % (3090835)First to succeed.
% 12.17/2.68 % (3090835)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3090830"
% 12.17/2.68 % (3090876)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3998511534:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 12.17/2.68 % (3090877)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1499933998:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 12.17/2.68 % (3090875)Instruction limit reached!
% 12.17/2.68 % (3090875)------------------------------
% 12.17/2.68 % (3090875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.17/2.68 % (3090875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.68 % (3090875)CaDiCaL version: 2.1.3
% 12.17/2.68 % (3090875)Termination reason: Instruction limit
% 12.17/2.68 % (3090875)Termination phase: Saturation
% 12.17/2.68 % (3090875)Time elapsed: 0.189 s
% 12.17/2.68 % (3090875)Peak memory usage: 93 MB
% 12.17/2.68 % (3090875)Instructions burned: 592 (million)
% 12.17/2.68 % (3090877)Instruction limit reached!
% 12.17/2.68 % (3090877)------------------------------
% 12.17/2.68 % (3090877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.17/2.68 % (3090877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.68 % (3090877)CaDiCaL version: 2.1.3
% 12.17/2.68 % (3090877)Termination reason: Instruction limit
% 12.17/2.68 % (3090877)Termination phase: Saturation
% 12.17/2.68 % (3090877)Time elapsed: 0.078 s
% 12.17/2.68 % (3090877)Peak memory usage: 90 MB
% 12.17/2.68 % (3090877)Instructions burned: 126 (million)
% 12.17/2.68 % (3090835)Refutation found. Thanks to Tanya!
% 12.17/2.68 % SZS status Theorem for theBenchmark
% 12.17/2.68 % SZS output start Proof for theBenchmark
% See solution above
% 13.39/2.88 % (3090835)------------------------------
% 13.39/2.88 % (3090835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.39/2.88 % (3090835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.88 % (3090835)CaDiCaL version: 2.1.3
% 13.39/2.88 % (3090835)Termination reason: Refutation
% 13.39/2.88 % (3090835)Time elapsed: 1.382 s
% 13.39/2.88 % (3090835)Peak memory usage: 139 MB
% 13.39/2.88 % (3090835)Instructions burned: 2159 (million)
% 13.39/2.88 % (3090835)------------------------------
% 13.39/2.88 % (3090835)------------------------------
% 13.39/2.88 % (3090830)Success in time 1.814 s
% 13.39/2.88 % Vampire exiting
%------------------------------------------------------------------------------