%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO046-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 09:51:20 AM UTC 2026
% Result : Unsatisfiable 8.78s 2.23s
% Output : Refutation 8.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 55 ( 21 unt; 2 def)
% Number of atoms : 120 ( 20 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 126 ( 61 ~; 63 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-5 aty)
% Number of variables : 117 ( 0 sgn 117 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',outer_five_segment) ).
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',inner_pasch2) ).
fof(f19,axiom,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).
fof(f20,axiom,
between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_v_and_x) ).
fof(f21,negated_conjecture,
~ between(u,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_between_u_and_x) ).
fof(f22,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f3,f5]) ).
fof(f24,plain,
! [X0,X1] : between(X1,X0,X0),
inference(superposition,[],[f4,f22]) ).
fof(f27,plain,
! [X2,X3,X0,X1] :
( ~ between(X1,X0,X2)
| ~ between(X0,X3,X2)
| inner_pasch(X1,X0,X2,X3,X0) = X0 ),
inference(resolution,[],[f7,f8]) ).
fof(f45,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,extension(X2,X0,X3,X4))
| inner_pasch(X2,X0,extension(X2,X0,X3,X4),X1,X0) = X0 ),
inference(resolution,[],[f27,f4]) ).
fof(f48,plain,
! [X0] :
( ~ between(v,X0,x)
| v = inner_pasch(u,v,x,X0,v) ),
inference(resolution,[],[f27,f19]) ).
fof(f49,plain,
v = inner_pasch(u,v,x,w,v),
inference(resolution,[],[f48,f20]) ).
fof(f54,plain,
( between(w,v,u)
| ~ between(v,w,x)
| ~ between(u,v,x) ),
inference(superposition,[],[f9,f49]) ).
fof(f55,plain,
( between(w,v,u)
| ~ between(u,v,x) ),
inference(forward_subsumption_resolution,[],[f54,f20]) ).
fof(f56,plain,
between(w,v,u),
inference(forward_subsumption_resolution,[],[f55,f19]) ).
fof(f95,plain,
! [X2,X3,X0,X1] : inner_pasch(X0,X1,extension(X0,X1,X2,X3),extension(X0,X1,X2,X3),X1) = X1,
inference(resolution,[],[f45,f24]) ).
fof(f105,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))
| ~ between(X1,X0,extension(X1,X0,X2,X3)) ),
inference(superposition,[],[f9,f95]) ).
fof(f106,plain,
! [X2,X3,X0,X1] :
( between(extension(X1,X0,X2,X3),X0,X1)
| ~ between(X1,X0,extension(X1,X0,X2,X3)) ),
inference(forward_subsumption_resolution,[],[f105,f24]) ).
fof(f107,plain,
! [X2,X3,X0,X1] : between(extension(X1,X0,X2,X3),X0,X1),
inference(forward_subsumption_resolution,[],[f106,f4]) ).
fof(f108,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| inner_pasch(extension(X2,X0,X3,X4),X0,X2,X1,X0) = X0 ),
inference(resolution,[],[f107,f27]) ).
fof(f139,plain,
! [X0,X1] : w = inner_pasch(extension(u,w,X0,X1),w,u,v,w),
inference(resolution,[],[f108,f56]) ).
fof(f161,plain,
! [X0,X1] :
( between(v,w,extension(u,w,X0,X1))
| ~ between(w,v,u)
| ~ between(extension(u,w,X0,X1),w,u) ),
inference(superposition,[],[f9,f139]) ).
fof(f162,plain,
! [X0,X1] :
( between(v,w,extension(u,w,X0,X1))
| ~ between(extension(u,w,X0,X1),w,u) ),
inference(forward_subsumption_resolution,[],[f161,f56]) ).
fof(f163,plain,
! [X0,X1] : between(v,w,extension(u,w,X0,X1)),
inference(forward_subsumption_resolution,[],[f162,f107]) ).
fof(f335,plain,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X1,X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f338,plain,
! [X0,X1] : equidistant(X0,X1,X0,X1),
inference(resolution,[],[f335,f1]) ).
fof(f368,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,f338]) ).
fof(f376,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,[],[f368,f338]) ).
fof(f384,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,[],[f376,f338]) ).
fof(f385,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,extension(X2,X1,X1,X3))
| ~ between(X0,X1,X3)
| X0 = X1
| equidistant(extension(X2,X1,X1,X3),X4,X3,X4) ),
inference(resolution,[],[f384,f5]) ).
fof(f397,plain,
! [X0,X1] :
( ~ between(v,w,X0)
| v = w
| equidistant(extension(u,w,w,X0),X1,X0,X1) ),
inference(resolution,[],[f385,f163]) ).
fof(f414,definition,
( spl0_3
<=> v = w ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f416,plain,
( v = w
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f430,definition,
( spl0_7
<=> ! [X0,X1] :
( ~ between(v,w,X0)
| equidistant(extension(u,w,w,X0),X1,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f431,plain,
( ! [X0,X1] :
( equidistant(extension(u,w,w,X0),X1,X0,X1)
| ~ between(v,w,X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f432,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f397,f430,f414]) ).
fof(f446,plain,
( ~ between(u,v,x)
| ~ spl0_3 ),
inference(superposition,[],[f21,f416]) ).
fof(f498,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f446,f19]) ).
fof(f499,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f498]) ).
fof(f596,plain,
( ! [X0] :
( ~ between(v,w,X0)
| extension(u,w,w,X0) = X0 )
| ~ spl0_7 ),
inference(resolution,[],[f431,f3]) ).
fof(f912,plain,
( x = extension(u,w,w,x)
| ~ spl0_7 ),
inference(resolution,[],[f596,f20]) ).
fof(f917,plain,
( between(u,w,x)
| ~ spl0_7 ),
inference(superposition,[],[f4,f912]) ).
fof(f939,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f917,f21]) ).
fof(f940,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f939]) ).
cnf(s4,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f432]) ).
cnf(s7,plain,
~ spl0_3,
inference(sat_conversion,[],[f499]) ).
cnf(s13,plain,
~ spl0_7,
inference(sat_conversion,[],[f940]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s4,s13,s7]) ).
fof(f941,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO046-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n006.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 06:41:41 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 5.09/2.04 % (2638792)Input is clausal, will run a generic CNF schedule.
% 5.09/2.04 % (2638799)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3316266634:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.09/2.04 % (2638797)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=4078126760:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.09/2.04 % (2638798)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4019402448:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.09/2.04 % (2638803)dis-21_1_sil=8000:lcm=predicate:random_seed=2261025524: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)
% 5.09/2.04 % (2638800)lrs+10_1_sil=8000:sp=occurrence:random_seed=900669312:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.09/2.04 % (2638801)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=571156844:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.09/2.04 % (2638802)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=241649384:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.09/2.04 % (2638800)Refutation not found, incomplete strategy
% 5.09/2.04 % (2638800)------------------------------
% 5.09/2.04 % (2638800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2638801)Refutation not found, incomplete strategy
% 5.09/2.04 % (2638801)------------------------------
% 5.09/2.04 % (2638801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2638801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2638800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2638800)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2638801)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2638801)Termination reason: Refutation not found, incomplete strategy
% 5.09/2.04 % (2638801)Time elapsed: 0.001 s
% 5.09/2.04 % (2638801)Peak memory usage: 87 MB
% 5.09/2.04 % (2638800)Termination reason: Refutation not found, incomplete strategy
% 5.09/2.04 % (2638800)Time elapsed: 0.001 s
% 5.09/2.04 % (2638800)Peak memory usage: 87 MB
% 5.09/2.04 % (2638803)Refutation not found, incomplete strategy
% 5.09/2.04 % (2638803)------------------------------
% 5.09/2.04 % (2638803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2638803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2638803)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2638803)Termination reason: Refutation not found, incomplete strategy
% 5.09/2.04 % (2638803)Time elapsed: 0.001 s
% 5.09/2.04 % (2638803)Peak memory usage: 88 MB
% 5.09/2.04 % (2638803)Instructions burned: 1 (million)
% 5.09/2.04 % (2638802)Instruction limit reached!
% 5.09/2.04 % (2638802)------------------------------
% 5.09/2.04 % (2638802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2638802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2638802)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2638802)Termination reason: Instruction limit
% 5.09/2.04 % (2638802)Termination phase: Saturation
% 5.09/2.04 % (2638802)Time elapsed: 0.122 s
% 5.09/2.04 % (2638802)Peak memory usage: 89 MB
% 5.09/2.04 % (2638802)Instructions burned: 180 (million)
% 5.09/2.04 % (2638803)------------------------------
% 5.09/2.04 % (2638803)------------------------------
% 5.09/2.04 % (2638800)------------------------------
% 5.09/2.04 % (2638800)------------------------------
% 5.09/2.04 % (2638801)------------------------------
% 5.09/2.04 % (2638801)------------------------------
% 5.09/2.04 % (2638811)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=57440163:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.09/2.04 % (2638811)Refutation not found, incomplete strategy
% 5.09/2.04 % (2638811)------------------------------
% 5.09/2.04 % (2638811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2638811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2638811)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2638811)Termination reason: Refutation not found, incomplete strategy
% 5.09/2.04 % (2638811)Time elapsed: 0.001 s
% 5.09/2.04 % (2638811)Peak memory usage: 87 MB
% 5.09/2.04 % (2638813)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4077885437:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 5.09/2.04 % (2638812)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1194078212:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 5.09/2.04 % (2638814)lrs+10_64_to=lpo:sil=8000:random_seed=1247222921:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.09/2.04 % (2638813)Refutation not found, incomplete strategy
% 5.09/2.04 % (2638813)------------------------------
% 5.09/2.04 % (2638813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2638813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2638813)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2638813)Termination reason: Refutation not found, incomplete strategy
% 5.09/2.04 % (2638813)Time elapsed: 0.001 s
% 5.09/2.04 % (2638813)Peak memory usage: 87 MB
% 5.09/2.04 % (2638814)Instruction limit reached!
% 5.09/2.04 % (2638814)------------------------------
% 5.09/2.04 % (2638814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2638814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2638814)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2638814)Termination reason: Instruction limit
% 5.09/2.04 % (2638814)Termination phase: Saturation
% 5.09/2.04 % (2638814)Time elapsed: 0.077 s
% 5.09/2.04 % (2638814)Peak memory usage: 88 MB
% 5.09/2.04 % (2638814)Instructions burned: 126 (million)
% 5.09/2.04 % (2638812)Instruction limit reached!
% 5.09/2.04 % (2638812)------------------------------
% 5.09/2.04 % (2638812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2638812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2638812)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2638812)Termination reason: Instruction limit
% 5.09/2.04 % (2638812)Termination phase: Saturation
% 5.09/2.04 % (2638812)Time elapsed: 0.098 s
% 5.09/2.04 % (2638812)Peak memory usage: 89 MB
% 5.09/2.04 % (2638812)Instructions burned: 191 (million)
% 5.09/2.04 % (2638811)------------------------------
% 5.09/2.04 % (2638811)------------------------------
% 5.09/2.04 % (2638819)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3143003610:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 5.09/2.04 % (2638820)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2875685440:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 5.09/2.04 % (2638813)------------------------------
% 5.09/2.04 % (2638813)------------------------------
% 5.09/2.04 % (2638821)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1970720695:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 5.09/2.04 % (2638797)First to succeed.
% 5.09/2.04 % (2638797)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2638792"
% 5.09/2.04 % (2638819)Instruction limit reached!
% 5.09/2.04 % (2638819)------------------------------
% 5.09/2.04 % (2638819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2638819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2638819)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2638819)Termination reason: Instruction limit
% 5.09/2.04 % (2638819)Termination phase: Saturation
% 5.09/2.04 % (2638819)Time elapsed: 0.102 s
% 5.09/2.04 % (2638819)Peak memory usage: 89 MB
% 5.09/2.04 % (2638819)Instructions burned: 195 (million)
% 5.09/2.04 % (2638820)Instruction limit reached!
% 5.09/2.04 % (2638820)------------------------------
% 5.09/2.04 % (2638820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.09/2.04 % (2638820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/2.04 % (2638820)CaDiCaL version: 2.1.3
% 5.09/2.04 % (2638820)Termination reason: Instruction limit
% 5.09/2.04 % (2638820)Termination phase: Saturation
% 5.09/2.04 % (2638820)Time elapsed: 0.102 s
% 5.09/2.04 % (2638820)Peak memory usage: 90 MB
% 5.09/2.04 % (2638820)Instructions burned: 157 (million)
% 5.09/2.04 % (2638824)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=450717615:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 8.78/2.23 % (2638824)Refutation not found, incomplete strategy
% 8.78/2.23 % (2638824)------------------------------
% 8.78/2.23 % (2638824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.78/2.23 % (2638824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/2.23 % (2638824)CaDiCaL version: 2.1.3
% 8.78/2.23 % (2638824)Termination reason: Refutation not found, incomplete strategy
% 8.78/2.23 % (2638824)Time elapsed: 0.001 s
% 8.78/2.23 % (2638824)Peak memory usage: 87 MB
% 8.78/2.23 % (2638826)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1840828197:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 8.78/2.23 % (2638826)Refutation not found, incomplete strategy
% 8.78/2.23 % (2638826)------------------------------
% 8.78/2.23 % (2638826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.78/2.23 % (2638826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/2.23 % (2638826)CaDiCaL version: 2.1.3
% 8.78/2.23 % (2638826)Termination reason: Refutation not found, incomplete strategy
% 8.78/2.23 % (2638826)Time elapsed: 0.001 s
% 8.78/2.23 % (2638826)Peak memory usage: 87 MB
% 8.78/2.23 % (2638827)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=629591039:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 8.78/2.23 % (2638797)Refutation found. Thanks to Tanya!
% 8.78/2.23 % SZS status Unsatisfiable for theBenchmark
% 8.78/2.23 % SZS output start Proof for theBenchmark
% See solution above
% 8.78/2.23 % (2638797)------------------------------
% 8.78/2.23 % (2638797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.78/2.23 % (2638797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/2.23 % (2638797)CaDiCaL version: 2.1.3
% 8.78/2.23 % (2638797)Termination reason: Refutation
% 8.78/2.23 % (2638797)Time elapsed: 0.740 s
% 8.78/2.23 % (2638797)Peak memory usage: 130 MB
% 8.78/2.23 % (2638797)Instructions burned: 1098 (million)
% 8.78/2.23 % (2638797)------------------------------
% 8.78/2.23 % (2638797)------------------------------
% 8.78/2.23 % (2638792)Success in time 1.156 s
% 8.78/2.23 % Vampire exiting
%------------------------------------------------------------------------------