%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO497+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 : n004.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 6.58s 1.99s
% Output : Refutation 8.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 76 ( 24 unt; 7 def)
% Number of atoms : 173 ( 50 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 182 ( 85 ~; 79 |; 11 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 75 ( 0 sgn 71 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2] :
( ~ s_e(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA3) ).
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(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(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(f33,axiom,
! [X0,X1] : s_t(X0,X1,ext(X0,X1,alpha,gamma)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_14a) ).
fof(f34,axiom,
! [X0,X1] : X0 != ext(X1,X0,alpha,gamma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_14b) ).
fof(f71,axiom,
! [X0,X1,X2,X3] :
( sameside(X0,X1,X2)
| X0 = X1
| X2 = X1
| X3 = X1
| ~ s_t(X0,X1,X3)
| ~ s_t(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_3b) ).
fof(f77,conjecture,
! [X0,X1,X2,X3] :
( ( X0 = X1
| X2 = X3
| sameside(insert(X2,X3,X1,X0),X1,X0) )
& ( X0 = X1
| X2 = X3
| s_e(X1,insert(X2,X3,X1,X0),X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_11a) ).
fof(f78,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( X0 = X1
| X2 = X3
| sameside(insert(X2,X3,X1,X0),X1,X0) )
& ( X0 = X1
| X2 = X3
| s_e(X1,insert(X2,X3,X1,X0),X2,X3) ) ),
inference(negated_conjecture,[status(cth)],[f77]) ).
fof(f79,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(f87,plain,
? [X0,X1,X2,X3] :
( ( X0 != X1
& X2 != X3
& ~ sameside(insert(X2,X3,X1,X0),X1,X0) )
| ( X0 != X1
& X2 != X3
& ~ s_e(X1,insert(X2,X3,X1,X0),X2,X3) ) ),
inference(ennf_transformation,[],[f78]) ).
fof(f88,plain,
( ( sK0 != sK1
& sK2 != sK3
& ~ sameside(insert(sK2,sK3,sK1,sK0),sK1,sK0) )
| ( sK0 != sK1
& sK2 != sK3
& ~ s_e(sK1,insert(sK2,sK3,sK1,sK0),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)],[f87]) ).
fof(f90,plain,
! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_t(X2,X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f113,plain,
! [X0,X1] : s_t(X0,X1,ext(X0,X1,alpha,gamma)),
inference(cnf_transformation,[],[f33]) ).
fof(f114,plain,
! [X0,X1] : ext(X1,X0,alpha,gamma) != X0,
inference(cnf_transformation,[],[f34]) ).
fof(f159,plain,
! [X2,X3,X0,X1] :
( sameside(X0,X1,X2)
| X0 = X1
| X1 = X2
| X1 = X3
| ~ s_t(X0,X1,X3)
| ~ s_t(X2,X1,X3) ),
inference(cnf_transformation,[],[f71]) ).
fof(f166,plain,
( ~ sameside(insert(sK2,sK3,sK1,sK0),sK1,sK0)
| ~ s_e(sK1,insert(sK2,sK3,sK1,sK0),sK2,sK3) ),
inference(cnf_transformation,[],[f88]) ).
fof(f170,plain,
( sK2 != sK3
| sK2 != sK3 ),
inference(cnf_transformation,[],[f88]) ).
fof(f174,plain,
( sK0 != sK1
| sK0 != sK1 ),
inference(cnf_transformation,[],[f88]) ).
fof(f175,plain,
! [X2,X3,X0,X1] : insert(X0,X1,X2,X3) = ext(ext(X3,X2,alpha,gamma),X2,X0,X1),
inference(cnf_transformation,[],[f79]) ).
fof(f215,plain,
! [X2,X0,X1] :
( ~ s_e(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f216,plain,
! [X2,X3,X0,X1] : s_e(X1,ext(X0,X1,X2,X3),X2,X3),
inference(cnf_transformation,[],[f4]) ).
fof(f217,plain,
! [X2,X3,X0,X1] : s_t(X0,X1,ext(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f4]) ).
fof(f228,plain,
( ~ sameside(ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,sK3),sK1,sK0)
| ~ s_e(sK1,ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,sK3),sK2,sK3) ),
inference(definition_unfolding,[],[f166,f175,f175]) ).
fof(f241,plain,
sK2 != sK3,
inference(duplicate_literal_removal,[],[f170]) ).
fof(f242,plain,
sK0 != sK1,
inference(duplicate_literal_removal,[],[f174]) ).
fof(f243,plain,
~ sameside(ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,sK3),sK1,sK0),
inference(forward_subsumption_resolution,[],[f228,f216]) ).
fof(f247,definition,
( spl7_1
<=> sameside(ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,sK3),sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f249,plain,
( ~ sameside(ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,sK3),sK1,sK0)
| spl7_1 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f250,plain,
~ spl7_1,
inference(avatar_split_clause,[],[f243,f247]) ).
fof(f252,plain,
( ! [X0] :
( sK1 = ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,sK3)
| sK0 = sK1
| sK1 = X0
| ~ s_t(ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,sK3),sK1,X0)
| ~ s_t(sK0,sK1,X0) )
| spl7_1 ),
inference(resolution,[],[f249,f159]) ).
fof(f263,plain,
( ! [X0] :
( sK1 = ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,sK3)
| sK1 = X0
| ~ s_t(ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,sK3),sK1,X0)
| ~ s_t(sK0,sK1,X0) )
| spl7_1 ),
inference(forward_subsumption_resolution,[],[f252,f242]) ).
fof(f266,definition,
( spl7_2
<=> sK2 = sK3 ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f268,plain,
( sK2 != sK3
| spl7_2 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f275,plain,
~ spl7_2,
inference(avatar_split_clause,[],[f241,f266]) ).
fof(f293,definition,
( spl7_5
<=> sK1 = ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f295,plain,
( sK1 = ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,sK3)
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f333,definition,
( spl7_7
<=> ! [X0] :
( sK1 = X0
| ~ s_t(sK0,sK1,X0)
| ~ s_t(ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,sK3),sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
fof(f334,plain,
( ! [X0] :
( ~ s_t(ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,sK3),sK1,X0)
| ~ s_t(sK0,sK1,X0)
| sK1 = X0 )
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f335,plain,
( spl7_7
| spl7_5
| spl7_1 ),
inference(avatar_split_clause,[],[f263,f247,f293,f333]) ).
fof(f346,plain,
( s_e(sK1,sK1,sK2,sK3)
| ~ spl7_5 ),
inference(superposition,[],[f216,f295]) ).
fof(f559,definition,
( spl7_10
<=> s_e(sK1,sK1,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl7_10])],[avatar_definition]) ).
fof(f561,plain,
( s_e(sK1,sK1,sK2,sK3)
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f562,plain,
( spl7_10
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f346,f293,f559]) ).
fof(f563,plain,
( s_e(sK2,sK3,sK1,sK1)
| ~ spl7_10 ),
inference(resolution,[],[f561,f90]) ).
fof(f619,definition,
( spl7_12
<=> s_e(sK2,sK3,sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl7_12])],[avatar_definition]) ).
fof(f621,plain,
( s_e(sK2,sK3,sK1,sK1)
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f622,plain,
( spl7_12
| ~ spl7_10 ),
inference(avatar_split_clause,[],[f563,f559,f619]) ).
fof(f712,plain,
( sK2 = sK3
| ~ spl7_12 ),
inference(resolution,[],[f621,f215]) ).
fof(f716,plain,
( $false
| spl7_2
| ~ spl7_12 ),
inference(forward_subsumption_resolution,[],[f712,f268]) ).
fof(f717,plain,
( spl7_2
| ~ spl7_12 ),
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f771,plain,
( ! [X0] :
( ~ s_t(sK0,sK1,X0)
| sK1 = X0
| ~ s_t(X0,sK1,ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,sK3)) )
| ~ spl7_7 ),
inference(resolution,[],[f334,f101]) ).
fof(f1206,definition,
( spl7_26
<=> ! [X0] :
( ~ s_t(sK0,sK1,X0)
| sK1 = X0
| ~ s_t(X0,sK1,ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl7_26])],[avatar_definition]) ).
fof(f1207,plain,
( ! [X0] :
( ~ s_t(X0,sK1,ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,sK3))
| sK1 = X0
| ~ s_t(sK0,sK1,X0) )
| ~ spl7_26 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f1208,plain,
( spl7_26
| ~ spl7_7 ),
inference(avatar_split_clause,[],[f771,f333,f1206]) ).
fof(f1210,plain,
( sK1 = ext(sK0,sK1,alpha,gamma)
| ~ s_t(sK0,sK1,ext(sK0,sK1,alpha,gamma))
| ~ spl7_26 ),
inference(resolution,[],[f1207,f217]) ).
fof(f1243,plain,
( ~ s_t(sK0,sK1,ext(sK0,sK1,alpha,gamma))
| ~ spl7_26 ),
inference(forward_subsumption_resolution,[],[f1210,f114]) ).
fof(f1244,plain,
( $false
| ~ spl7_26 ),
inference(forward_subsumption_resolution,[],[f1243,f113]) ).
fof(f1245,plain,
~ spl7_26,
inference(avatar_contradiction_clause,[],[f1244]) ).
cnf(s1,plain,
~ spl7_1,
inference(sat_conversion,[],[f250]) ).
cnf(s4,plain,
~ spl7_2,
inference(sat_conversion,[],[f275]) ).
cnf(s8,plain,
( spl7_1
| spl7_5
| spl7_7 ),
inference(sat_conversion,[],[f335]) ).
cnf(s18,plain,
( ~ spl7_5
| spl7_10 ),
inference(sat_conversion,[],[f562]) ).
cnf(s20,plain,
( ~ spl7_10
| spl7_12 ),
inference(sat_conversion,[],[f622]) ).
cnf(s22,plain,
( spl7_2
| ~ spl7_12 ),
inference(sat_conversion,[],[f717]) ).
cnf(s37,plain,
( ~ spl7_7
| spl7_26 ),
inference(sat_conversion,[],[f1208]) ).
cnf(s38,plain,
~ spl7_26,
inference(sat_conversion,[],[f1245]) ).
cnf(s39,plain,
~ spl7_7,
inference(rat,[],[s37,s38]) ).
cnf(s40,plain,
( spl7_1
| spl7_5 ),
inference(rat,[],[s8,s39]) ).
cnf(s44,plain,
~ spl7_12,
inference(rat,[],[s22,s4]) ).
cnf(s45,plain,
~ spl7_10,
inference(rat,[],[s20,s44]) ).
cnf(s51,plain,
~ spl7_5,
inference(rat,[],[s18,s45]) ).
cnf(s53,plain,
spl7_1,
inference(rat,[],[s40,s51]) ).
cnf(s54,plain,
$false,
inference(rat,[],[s1,s53]) ).
fof(f1246,plain,
$false,
inference(avatar_sat_refutation,[],[s54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO497+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 08:20:37 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 6.58/1.99 % (3196241)Detected formulas, will run a generic FOF schedule.
% 6.58/1.99 % (3196251)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3711875965:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.58/1.99 % (3196247)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=2546222559:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.58/1.99 % (3196250)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1994527866:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.58/1.99 % (3196249)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3405450658:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.58/1.99 % (3196246)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=1683536536:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.58/1.99 % (3196252)dis-21_1_sil=8000:lcm=predicate:random_seed=4061588941: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)
% 6.58/1.99 % (3196248)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=882939913:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.58/1.99 % (3196251)Instruction limit reached!
% 6.58/1.99 % (3196251)------------------------------
% 6.58/1.99 % (3196251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.99 % (3196251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.99 % (3196251)CaDiCaL version: 2.1.3
% 6.58/1.99 % (3196251)Termination reason: Instruction limit
% 6.58/1.99 % (3196251)Termination phase: Saturation
% 6.58/1.99 % (3196251)Time elapsed: 0.050 s
% 6.58/1.99 % (3196251)Peak memory usage: 89 MB
% 6.58/1.99 % (3196251)Instructions burned: 144 (million)
% 6.58/1.99 % (3196249)Refutation not found, incomplete strategy
% 6.58/1.99 % (3196249)------------------------------
% 6.58/1.99 % (3196249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.99 % (3196249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.99 % (3196249)CaDiCaL version: 2.1.3
% 6.58/1.99 % (3196249)Termination reason: Refutation not found, incomplete strategy
% 6.58/1.99 % (3196249)Time elapsed: 0.004 s
% 6.58/1.99 % (3196249)Peak memory usage: 88 MB
% 6.58/1.99 % (3196249)Instructions burned: 4 (million)
% 6.58/1.99 % (3196250)Instruction limit reached!
% 6.58/1.99 % (3196250)------------------------------
% 6.58/1.99 % (3196250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.99 % (3196250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.99 % (3196250)CaDiCaL version: 2.1.3
% 6.58/1.99 % (3196250)Termination reason: Instruction limit
% 6.58/1.99 % (3196250)Termination phase: Saturation
% 6.58/1.99 % (3196250)Time elapsed: 0.068 s
% 6.58/1.99 % (3196250)Peak memory usage: 88 MB
% 6.58/1.99 % (3196250)Instructions burned: 121 (million)
% 6.58/1.99 % (3196252)Instruction limit reached!
% 6.58/1.99 % (3196252)------------------------------
% 6.58/1.99 % (3196252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.99 % (3196252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.99 % (3196252)CaDiCaL version: 2.1.3
% 6.58/1.99 % (3196252)Termination reason: Instruction limit
% 6.58/1.99 % (3196252)Termination phase: Saturation
% 6.58/1.99 % (3196252)Time elapsed: 0.078 s
% 6.58/1.99 % (3196252)Peak memory usage: 89 MB
% 6.58/1.99 % (3196252)Instructions burned: 131 (million)
% 6.58/1.99 % (3196260)lrs+10_1_sil=8000:sp=occurrence:random_seed=3104213984:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.58/1.99 % (3196261)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2568895621:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.58/1.99 % (3196260)Instruction limit reached!
% 6.58/1.99 % (3196260)------------------------------
% 6.58/1.99 % (3196260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.99 % (3196260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.99 % (3196260)CaDiCaL version: 2.1.3
% 6.58/1.99 % (3196260)Termination reason: Instruction limit
% 6.58/1.99 % (3196260)Termination phase: Saturation
% 6.58/1.99 % (3196260)Time elapsed: 0.096 s
% 6.58/1.99 % (3196260)Peak memory usage: 91 MB
% 6.58/1.99 % (3196260)Instructions burned: 286 (million)
% 6.58/1.99 % (3196261)Refutation not found, incomplete strategy
% 6.58/1.99 % (3196261)------------------------------
% 6.58/1.99 % (3196261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.99 % (3196261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.99 % (3196261)CaDiCaL version: 2.1.3
% 6.58/1.99 % (3196261)Termination reason: Refutation not found, incomplete strategy
% 6.58/1.99 % (3196261)Time elapsed: 0.009 s
% 6.58/1.99 % (3196261)Peak memory usage: 89 MB
% 6.58/1.99 % (3196261)Instructions burned: 14 (million)
% 6.58/1.99 % (3196262)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1299062010:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.58/1.99 % (3196249)------------------------------
% 6.58/1.99 % (3196249)------------------------------
% 6.58/1.99 % (3196265)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=1471807726:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.58/1.99 % (3196265)Instruction limit reached!
% 6.58/1.99 % (3196265)------------------------------
% 6.58/1.99 % (3196265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.99 % (3196265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.99 % (3196265)CaDiCaL version: 2.1.3
% 6.58/1.99 % (3196265)Termination reason: Instruction limit
% 6.58/1.99 % (3196265)Termination phase: Saturation
% 6.58/1.99 % (3196265)Time elapsed: 0.069 s
% 6.58/1.99 % (3196265)Peak memory usage: 90 MB
% 6.58/1.99 % (3196265)Instructions burned: 248 (million)
% 6.58/1.99 % (3196267)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1683084658:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.58/1.99 % (3196262)Instruction limit reached!
% 6.58/1.99 % (3196262)------------------------------
% 6.58/1.99 % (3196262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.99 % (3196262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.99 % (3196262)CaDiCaL version: 2.1.3
% 6.58/1.99 % (3196262)Termination reason: Instruction limit
% 6.58/1.99 % (3196262)Termination phase: Saturation
% 6.58/1.99 % (3196262)Time elapsed: 0.191 s
% 6.58/1.99 % (3196262)Peak memory usage: 90 MB
% 6.58/1.99 % (3196262)Instructions burned: 326 (million)
% 6.58/1.99 % (3196269)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2698414775:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.58/1.99 % (3196261)------------------------------
% 6.58/1.99 % (3196261)------------------------------
% 6.58/1.99 % (3196271)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=688685181:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.58/1.99 % (3196267)Instruction limit reached!
% 6.58/1.99 % (3196267)------------------------------
% 6.58/1.99 % (3196267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.99 % (3196267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.99 % (3196267)CaDiCaL version: 2.1.3
% 6.58/1.99 % (3196267)Termination reason: Instruction limit
% 6.58/1.99 % (3196267)Termination phase: Saturation
% 6.58/1.99 % (3196267)Time elapsed: 0.164 s
% 6.58/1.99 % (3196267)Peak memory usage: 88 MB
% 6.58/1.99 % (3196267)Instructions burned: 295 (million)
% 6.58/1.99 % (3196273)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1586454012:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.58/1.99 % (3196271)Instruction limit reached!
% 6.58/1.99 % (3196271)------------------------------
% 6.58/1.99 % (3196271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.99 % (3196271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.99 % (3196271)CaDiCaL version: 2.1.3
% 6.58/1.99 % (3196271)Termination reason: Instruction limit
% 6.58/1.99 % (3196271)Termination phase: Saturation
% 6.58/1.99 % (3196271)Time elapsed: 0.065 s
% 6.58/1.99 % (3196271)Peak memory usage: 89 MB
% 6.58/1.99 % (3196271)Instructions burned: 114 (million)
% 6.58/1.99 % (3196273)Instruction limit reached!
% 6.58/1.99 % (3196273)------------------------------
% 6.58/1.99 % (3196273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.99 % (3196273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.99 % (3196273)CaDiCaL version: 2.1.3
% 6.58/1.99 % (3196273)Termination reason: Instruction limit
% 6.58/1.99 % (3196273)Termination phase: Saturation
% 6.58/1.99 % (3196273)Time elapsed: 0.061 s
% 6.58/1.99 % (3196273)Peak memory usage: 88 MB
% 6.58/1.99 % (3196273)Instructions burned: 128 (million)
% 6.58/1.99 % (3196275)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3306906297:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.58/1.99 % (3196277)lrs+10_1_sil=8000:sp=occurrence:random_seed=2956962364:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.58/1.99 % (3196248)First to succeed.
% 6.58/1.99 % (3196248)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3196241"
% 6.58/1.99 % (3196275)Instruction limit reached!
% 6.58/1.99 % (3196275)------------------------------
% 6.58/1.99 % (3196275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.99 % (3196275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.99 % (3196275)CaDiCaL version: 2.1.3
% 6.58/1.99 % (3196275)Termination reason: Instruction limit
% 6.58/1.99 % (3196275)Termination phase: Saturation
% 6.58/1.99 % (3196275)Time elapsed: 0.062 s
% 6.58/1.99 % (3196275)Peak memory usage: 88 MB
% 6.58/1.99 % (3196275)Instructions burned: 115 (million)
% 6.58/1.99 % (3196246)Also succeeded, but the first one will report.
% 6.58/1.99 % (3196278)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1715619297:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.58/1.99 % (3196278)Refutation not found, incomplete strategy
% 6.58/1.99 % (3196278)------------------------------
% 6.58/1.99 % (3196278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/1.99 % (3196278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/1.99 % (3196278)CaDiCaL version: 2.1.3
% 6.58/1.99 % (3196278)Termination reason: Refutation not found, incomplete strategy
% 6.58/1.99 % (3196278)Time elapsed: 0.005 s
% 6.58/1.99 % (3196278)Peak memory usage: 88 MB
% 6.58/1.99 % (3196278)Instructions burned: 7 (million)
% 6.58/1.99 % (3196281)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1228862942:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.58/1.99 % (3196269)Also succeeded, but the first one will report.
% 6.58/1.99 % (3196248)Refutation found. Thanks to Tanya!
% 6.58/1.99 % SZS status Theorem for theBenchmark
% 6.58/1.99 % SZS output start Proof for theBenchmark
% See solution above
% 8.65/2.18 % (3196248)------------------------------
% 8.65/2.18 % (3196248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.18 % (3196248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.18 % (3196248)CaDiCaL version: 2.1.3
% 8.65/2.18 % (3196248)Termination reason: Refutation
% 8.65/2.18 % (3196248)Time elapsed: 0.731 s
% 8.65/2.18 % (3196248)Peak memory usage: 131 MB
% 8.65/2.18 % (3196248)Instructions burned: 1114 (million)
% 8.65/2.18 % (3196248)------------------------------
% 8.65/2.18 % (3196248)------------------------------
% 8.65/2.18 % (3196241)Success in time 1.145 s
% 8.65/2.18 % Vampire exiting
%------------------------------------------------------------------------------