%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL012-1 : 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 : n019.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 11:50:55 AM UTC 2026
% Result : Unsatisfiable 11.35s 3.41s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 3
% Syntax : Number of formulae : 44 ( 43 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 119 ( 119 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(X2,X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',um) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(b,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_yqj) ).
fof(f4,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(a,b)),equivalent(c,a))),
inference(unit_resulting_resolution,[],[f1,f3,f2]) ).
fof(f5,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1)))),
inference(unit_resulting_resolution,[],[f1,f2,f2]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(X2,equivalent(X3,X1))),X4)),equivalent(X4,X0))),
inference(unit_resulting_resolution,[],[f1,f2,f5]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(X1,X3)),equivalent(X3,X2))),X4)),equivalent(X4,X0))),
inference(unit_resulting_resolution,[],[f1,f5,f5]) ).
fof(f78,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),X2)),
inference(unit_resulting_resolution,[],[f1,f5,f8]) ).
fof(f93,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X0)),
inference(unit_resulting_resolution,[],[f1,f5,f78]) ).
fof(f106,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(unit_resulting_resolution,[],[f1,f93,f93]) ).
fof(f117,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,X0)))),
inference(unit_resulting_resolution,[],[f1,f2,f93]) ).
fof(f141,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X1))),
inference(unit_resulting_resolution,[],[f1,f2,f106]) ).
fof(f234,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)),
inference(unit_resulting_resolution,[],[f1,f106,f141]) ).
fof(f276,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,X2)),X0))),
inference(unit_resulting_resolution,[],[f1,f78,f234]) ).
fof(f713,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),equivalent(equivalent(X0,X2),X2))),
inference(unit_resulting_resolution,[],[f1,f93,f276]) ).
fof(f896,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X0)),equivalent(X1,equivalent(X3,X3)))),
inference(unit_resulting_resolution,[],[f1,f9,f713]) ).
fof(f1221,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,equivalent(X3,X3)),equivalent(X1,equivalent(X2,X0))))),
inference(unit_resulting_resolution,[],[f1,f2,f896]) ).
fof(f1651,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),equivalent(equivalent(X2,equivalent(X2,X3)),equivalent(X0,X3)))),
inference(unit_resulting_resolution,[],[f1,f117,f1221]) ).
fof(f1748,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X0),equivalent(equivalent(equivalent(X1,equivalent(X1,X2)),equivalent(X3,X2)),X3))),
inference(unit_resulting_resolution,[],[f1,f2,f1651]) ).
fof(f2435,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X1)),
inference(unit_resulting_resolution,[],[f1,f78,f1748]) ).
fof(f2521,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
inference(unit_resulting_resolution,[],[f1,f2,f2435]) ).
fof(f2580,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X2,X0),X1))),
inference(unit_resulting_resolution,[],[f1,f2,f2521]) ).
fof(f2583,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X0)),X1)),
inference(unit_resulting_resolution,[],[f1,f5,f2521]) ).
fof(f2748,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X1,X2),X0),X2))),
inference(unit_resulting_resolution,[],[f1,f2,f2580]) ).
fof(f3104,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X1),equivalent(X2,X0))),
inference(unit_resulting_resolution,[],[f1,f2521,f2748]) ).
fof(f5605,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,equivalent(X2,X0))))),
inference(unit_resulting_resolution,[],[f1,f2,f2583]) ).
fof(f5678,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X1,X2)),equivalent(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f117,f5605]) ).
fof(f5870,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),equivalent(X2,equivalent(X2,X1)))),
inference(unit_resulting_resolution,[],[f1,f2580,f5678]) ).
fof(f7721,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),equivalent(equivalent(X2,X1),X2))),
inference(unit_resulting_resolution,[],[f1,f2521,f5870]) ).
fof(f7858,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X1),X2),X0))),
inference(unit_resulting_resolution,[],[f1,f2,f7721]) ).
fof(f7877,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),equivalent(equivalent(X1,X2),X2))),
inference(unit_resulting_resolution,[],[f1,f93,f7858]) ).
fof(f8111,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),equivalent(equivalent(X2,X0),X2))),
inference(unit_resulting_resolution,[],[f1,f2521,f7877]) ).
fof(f8119,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X1)),equivalent(X2,X0))),
inference(unit_resulting_resolution,[],[f1,f2580,f7877]) ).
fof(f8237,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X2)),equivalent(X0,X1))),
inference(unit_resulting_resolution,[],[f1,f2580,f8111]) ).
fof(f8387,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,equivalent(equivalent(X2,X0),X2)))),
inference(unit_resulting_resolution,[],[f1,f2521,f8119]) ).
fof(f8466,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,equivalent(X1,X0)),X2))),
inference(unit_resulting_resolution,[],[f1,f2521,f8387]) ).
fof(f8742,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,equivalent(equivalent(X1,X2),X2)))),
inference(unit_resulting_resolution,[],[f1,f2521,f8237]) ).
fof(f8805,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),equivalent(equivalent(X0,X2),X2))),
inference(unit_resulting_resolution,[],[f1,f93,f8742]) ).
fof(f9073,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X2)),equivalent(X1,X0))),
inference(unit_resulting_resolution,[],[f1,f2580,f8805]) ).
fof(f9138,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X0,X1)),X2))),
inference(unit_resulting_resolution,[],[f1,f3104,f9073]) ).
fof(f11157,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(X2,X1)))),
inference(unit_resulting_resolution,[],[f1,f2580,f8466]) ).
fof(f11240,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X1,equivalent(X2,X0)))),
inference(unit_resulting_resolution,[],[f1,f2580,f11157]) ).
fof(f11442,plain,
~ is_a_theorem(equivalent(a,equivalent(equivalent(equivalent(b,c),equivalent(a,b)),c))),
inference(unit_resulting_resolution,[],[f1,f4,f11240]) ).
fof(f11674,plain,
$false,
inference(forward_subsumption_resolution,[],[f11442,f9138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL012-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 15:17:19 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 11.97/2.52 % (3188857)Input is clausal, will run a generic CNF schedule.
% 11.97/2.52 % (3188866)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=956010227:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.97/2.52 % (3188866)Instruction limit reached!
% 11.97/2.52 % (3188866)------------------------------
% 11.97/2.52 % (3188866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.52 % (3188866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/2.52 % (3188866)CaDiCaL version: 2.1.3
% 11.97/2.52 % (3188866)Termination reason: Instruction limit
% 11.97/2.52 % (3188866)Termination phase: Saturation
% 11.97/2.52 % (3188866)Time elapsed: 0.039 s
% 11.97/2.52 % (3188866)Peak memory usage: 88 MB
% 11.97/2.52 % (3188866)Instructions burned: 114 (million)
% 11.97/2.52 % (3188863)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2921883096:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.97/2.52 % (3188868)dis-21_1_sil=8000:lcm=predicate:random_seed=2665405482: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)
% 11.97/2.52 % (3188862)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=1092203762:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.97/2.52 % (3188865)lrs+10_1_sil=8000:sp=occurrence:random_seed=3411903971:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.97/2.52 % (3188864)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1635313175:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.97/2.52 % (3188867)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2771375173:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.97/2.52 % (3188865)Instruction limit reached!
% 11.97/2.52 % (3188865)------------------------------
% 11.97/2.52 % (3188865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.52 % (3188865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/2.52 % (3188865)CaDiCaL version: 2.1.3
% 11.97/2.52 % (3188865)Termination reason: Instruction limit
% 11.97/2.52 % (3188865)Termination phase: Saturation
% 11.97/2.52 % (3188865)Time elapsed: 0.069 s
% 11.97/2.52 % (3188865)Peak memory usage: 88 MB
% 11.97/2.52 % (3188865)Instructions burned: 108 (million)
% 11.97/2.52 % (3188868)Instruction limit reached!
% 11.97/2.52 % (3188868)------------------------------
% 11.97/2.52 % (3188868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.52 % (3188868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/2.52 % (3188868)CaDiCaL version: 2.1.3
% 11.97/2.52 % (3188868)Termination reason: Instruction limit
% 11.97/2.52 % (3188868)Termination phase: Saturation
% 11.97/2.52 % (3188868)Time elapsed: 0.077 s
% 11.97/2.52 % (3188868)Peak memory usage: 88 MB
% 11.97/2.52 % (3188868)Instructions burned: 118 (million)
% 11.97/2.52 % (3188876)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=1147278825:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 11.97/2.52 % (3188876)Refutation not found, incomplete strategy
% 11.97/2.52 % (3188876)------------------------------
% 11.97/2.52 % (3188876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.52 % (3188876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/2.52 % (3188876)CaDiCaL version: 2.1.3
% 11.97/2.52 % (3188876)Termination reason: Refutation not found, incomplete strategy
% 11.97/2.52 % (3188876)Time elapsed: 0.0000 s
% 11.97/2.52 % (3188876)Peak memory usage: 87 MB
% 11.97/2.52 % (3188867)Instruction limit reached!
% 11.97/2.52 % (3188867)------------------------------
% 11.97/2.52 % (3188867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.97/2.52 % (3188867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.97/2.52 % (3188867)CaDiCaL version: 2.1.3
% 11.97/2.52 % (3188867)Termination reason: Instruction limit
% 11.97/2.52 % (3188867)Termination phase: Saturation
% 11.97/2.52 % (3188867)Time elapsed: 0.123 s
% 11.97/2.52 % (3188867)Peak memory usage: 89 MB
% 11.97/2.52 % (3188867)Instructions burned: 180 (million)
% 11.97/2.52 % (3188877)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=340133436:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 11.35/3.41 % (3188878)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2462609066:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.35/3.41 % (3188878)Refutation not found, incomplete strategy
% 11.35/3.41 % (3188878)------------------------------
% 11.35/3.41 % (3188878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/3.41 % (3188878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/3.41 % (3188878)CaDiCaL version: 2.1.3
% 11.35/3.41 % (3188878)Termination reason: Refutation not found, incomplete strategy
% 11.35/3.41 % (3188878)Time elapsed: 0.001 s
% 11.35/3.41 % (3188878)Peak memory usage: 87 MB
% 11.35/3.41 % (3188876)------------------------------
% 11.35/3.41 % (3188876)------------------------------
% 11.35/3.41 % (3188880)lrs+10_64_to=lpo:sil=8000:random_seed=2948223096:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 11.35/3.41 % (3188877)Instruction limit reached!
% 11.35/3.41 % (3188877)------------------------------
% 11.35/3.41 % (3188877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/3.41 % (3188877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/3.41 % (3188877)CaDiCaL version: 2.1.3
% 11.35/3.41 % (3188877)Termination reason: Instruction limit
% 11.35/3.41 % (3188877)Termination phase: Saturation
% 11.35/3.41 % (3188877)Time elapsed: 0.112 s
% 11.35/3.41 % (3188877)Peak memory usage: 90 MB
% 11.35/3.41 % (3188877)Instructions burned: 189 (million)
% 11.35/3.41 % (3188880)Instruction limit reached!
% 11.35/3.41 % (3188880)------------------------------
% 11.35/3.41 % (3188880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/3.41 % (3188880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/3.41 % (3188880)CaDiCaL version: 2.1.3
% 11.35/3.41 % (3188880)Termination reason: Instruction limit
% 11.35/3.41 % (3188880)Termination phase: Saturation
% 11.35/3.41 % (3188880)Time elapsed: 0.078 s
% 11.35/3.41 % (3188880)Peak memory usage: 88 MB
% 11.35/3.41 % (3188880)Instructions burned: 126 (million)
% 11.35/3.41 % (3188883)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2777114595:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.35/3.41 % (3188883)Instruction limit reached!
% 11.35/3.41 % (3188883)------------------------------
% 11.35/3.41 % (3188883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/3.41 % (3188883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/3.41 % (3188883)CaDiCaL version: 2.1.3
% 11.35/3.41 % (3188883)Termination reason: Instruction limit
% 11.35/3.41 % (3188883)Termination phase: Saturation
% 11.35/3.41 % (3188883)Time elapsed: 0.071 s
% 11.35/3.41 % (3188883)Peak memory usage: 90 MB
% 11.35/3.41 % (3188883)Instructions burned: 194 (million)
% 11.35/3.41 % (3188878)------------------------------
% 11.35/3.41 % (3188878)------------------------------
% 11.35/3.41 % (3188885)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2815479750:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 11.35/3.41 % (3188886)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2351900028:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 11.35/3.41 % (3188888)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=2125709927:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 11.35/3.41 % (3188885)Instruction limit reached!
% 11.35/3.41 % (3188885)------------------------------
% 11.35/3.41 % (3188885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/3.41 % (3188885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/3.41 % (3188885)CaDiCaL version: 2.1.3
% 11.35/3.41 % (3188885)Termination reason: Instruction limit
% 11.35/3.41 % (3188885)Termination phase: Saturation
% 11.35/3.41 % (3188885)Time elapsed: 0.105 s
% 11.35/3.41 % (3188885)Peak memory usage: 90 MB
% 11.35/3.41 % (3188885)Instructions burned: 159 (million)
% 11.35/3.41 % (3188888)Instruction limit reached!
% 11.35/3.41 % (3188888)------------------------------
% 11.35/3.41 % (3188888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/3.41 % (3188888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/3.41 % (3188888)CaDiCaL version: 2.1.3
% 11.35/3.41 % (3188888)Termination reason: Instruction limit
% 11.35/3.41 % (3188888)Termination phase: Saturation
% 11.35/3.41 % (3188888)Time elapsed: 0.032 s
% 11.35/3.41 % (3188888)Peak memory usage: 88 MB
% 11.35/3.41 % (3188888)Instructions burned: 108 (million)
% 11.35/3.41 % (3188889)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=233471136:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 11.35/3.41 % (3188889)Refutation not found, incomplete strategy
% 11.35/3.41 % (3188889)------------------------------
% 11.35/3.41 % (3188889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/3.41 % (3188889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/3.41 % (3188889)CaDiCaL version: 2.1.3
% 11.35/3.41 % (3188889)Termination reason: Refutation not found, incomplete strategy
% 11.35/3.41 % (3188889)Time elapsed: 0.001 s
% 11.35/3.41 % (3188889)Peak memory usage: 87 MB
% 11.35/3.41 % (3188894)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1148418186:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 11.35/3.41 % (3188893)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3907683952:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 11.35/3.41 % (3188889)------------------------------
% 11.35/3.41 % (3188889)------------------------------
% 11.35/3.41 % (3188893)Instruction limit reached!
% 11.35/3.41 % (3188893)------------------------------
% 11.35/3.41 % (3188893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/3.41 % (3188893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/3.41 % (3188893)CaDiCaL version: 2.1.3
% 11.35/3.41 % (3188893)Termination reason: Instruction limit
% 11.35/3.41 % (3188893)Termination phase: Saturation
% 11.35/3.41 % (3188893)Time elapsed: 0.143 s
% 11.35/3.41 % (3188893)Peak memory usage: 90 MB
% 11.35/3.41 % (3188893)Instructions burned: 243 (million)
% 11.35/3.41 % (3188898)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3398045822:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 11.35/3.41 % (3188899)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1680629708:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 11.35/3.41 % (3188898)Instruction limit reached!
% 11.35/3.41 % (3188898)------------------------------
% 11.35/3.41 % (3188898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/3.41 % (3188898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/3.41 % (3188898)CaDiCaL version: 2.1.3
% 11.35/3.41 % (3188898)Termination reason: Instruction limit
% 11.35/3.41 % (3188898)Termination phase: Saturation
% 11.35/3.41 % (3188898)Time elapsed: 0.090 s
% 11.35/3.41 % (3188898)Peak memory usage: 89 MB
% 11.35/3.41 % (3188898)Instructions burned: 134 (million)
% 11.35/3.41 % (3188902)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1290488009:i=191:fgj=on:bd=all_2986 on theBenchmark for (2986ds/191Mi)
% 11.35/3.41 % (3188899)Instruction limit reached!
% 11.35/3.41 % (3188899)------------------------------
% 11.35/3.41 % (3188899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/3.41 % (3188899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/3.41 % (3188899)CaDiCaL version: 2.1.3
% 11.35/3.41 % (3188899)Termination reason: Instruction limit
% 11.35/3.41 % (3188899)Termination phase: Saturation
% 11.35/3.41 % (3188899)Time elapsed: 0.274 s
% 11.35/3.41 % (3188899)Peak memory usage: 91 MB
% 11.35/3.41 % (3188899)Instructions burned: 500 (million)
% 11.35/3.41 % (3188902)Instruction limit reached!
% 11.35/3.41 % (3188902)------------------------------
% 11.35/3.41 % (3188902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/3.41 % (3188902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/3.41 % (3188902)CaDiCaL version: 2.1.3
% 11.35/3.41 % (3188902)Termination reason: Instruction limit
% 11.35/3.41 % (3188902)Termination phase: Saturation
% 11.35/3.41 % (3188902)Time elapsed: 0.116 s
% 11.35/3.41 % (3188902)Peak memory usage: 89 MB
% 11.35/3.41 % (3188902)Instructions burned: 192 (million)
% 11.35/3.41 % (3188904)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1733133684:i=264:kws=precedence:fsr=off_2984 on theBenchmark for (2984ds/264Mi)
% 11.35/3.41 % (3188905)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1217808341:cond=on:i=156:bs=on:gtg=exists_all:er=known_2983 on theBenchmark for (2983ds/156Mi)
% 11.35/3.41 % (3188904)Instruction limit reached!
% 11.35/3.41 % (3188904)------------------------------
% 11.35/3.41 % (3188904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/3.41 % (3188904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/3.41 % (3188904)CaDiCaL version: 2.1.3
% 11.35/3.41 % (3188904)Termination reason: Instruction limit
% 11.35/3.41 % (3188904)Termination phase: Saturation
% 11.35/3.41 % (3188904)Time elapsed: 0.167 s
% 11.35/3.41 % (3188904)Peak memory usage: 91 MB
% 11.35/3.41 % (3188904)Instructions burned: 264 (million)
% 11.35/3.41 % (3188905)Instruction limit reached!
% 11.35/3.41 % (3188905)------------------------------
% 11.35/3.41 % (3188905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/3.41 % (3188905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/3.41 % (3188905)CaDiCaL version: 2.1.3
% 11.35/3.41 % (3188905)Termination reason: Instruction limit
% 11.35/3.41 % (3188905)Termination phase: Saturation
% 11.35/3.41 % (3188905)Time elapsed: 0.106 s
% 11.35/3.41 % (3188905)Peak memory usage: 89 MB
% 11.35/3.41 % (3188905)Instructions burned: 156 (million)
% 11.35/3.41 % (3188908)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=1810587718:i=3256:kws=precedence:bd=preordered:av=off_2981 on theBenchmark for (2981ds/3256Mi)
% 11.35/3.41 % (3188909)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2203976618:i=537:av=off:ss=included_2981 on theBenchmark for (2981ds/537Mi)
% 11.35/3.41 % (3188886)Instruction limit reached!
% 11.35/3.41 % (3188886)------------------------------
% 11.35/3.41 % (3188886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/3.41 % (3188886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/3.41 % (3188886)CaDiCaL version: 2.1.3
% 11.35/3.41 % (3188886)Termination reason: Instruction limit
% 11.35/3.41 % (3188886)Termination phase: Saturation
% 11.35/3.41 % (3188886)Time elapsed: 1.369 s
% 11.35/3.41 % (3188886)Peak memory usage: 146 MB
% 11.35/3.41 % (3188886)Instructions burned: 3395 (million)
% 11.35/3.41 % (3188912)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=1057650657:i=180:bd=preordered:av=off_2979 on theBenchmark for (2979ds/180Mi)
% 11.35/3.41 % (3188912)Instruction limit reached!
% 11.35/3.41 % (3188912)------------------------------
% 11.35/3.41 % (3188912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/3.41 % (3188912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/3.41 % (3188912)CaDiCaL version: 2.1.3
% 11.35/3.41 % (3188912)Termination reason: Instruction limit
% 11.35/3.41 % (3188912)Termination phase: Saturation
% 11.35/3.41 % (3188912)Time elapsed: 0.055 s
% 11.35/3.41 % (3188912)Peak memory usage: 88 MB
% 11.35/3.41 % (3188912)Instructions burned: 181 (million)
% 11.35/3.41 % (3188863)First to succeed.
% 11.35/3.41 % (3188863)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3188857"
% 11.35/3.41 % (3188909)Instruction limit reached!
% 11.35/3.41 % (3188909)------------------------------
% 11.35/3.41 % (3188909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/3.41 % (3188909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/3.41 % (3188909)CaDiCaL version: 2.1.3
% 11.35/3.41 % (3188909)Termination reason: Instruction limit
% 11.35/3.41 % (3188909)Termination phase: Saturation
% 11.35/3.41 % (3188909)Time elapsed: 0.328 s
% 11.35/3.41 % (3188909)Peak memory usage: 92 MB
% 11.35/3.41 % (3188909)Instructions burned: 537 (million)
% 11.35/3.41 % (3188914)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=3449273259:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2977 on theBenchmark for (2977ds/10307Mi)
% 11.35/3.41 % (3188915)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=3675385604:i=412:gtgl=4:gtg=exists_all_2976 on theBenchmark for (2976ds/412Mi)
% 11.35/3.41 % (3188863)Refutation found. Thanks to Tanya!
% 11.35/3.41 % SZS status Unsatisfiable for theBenchmark
% 11.35/3.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/3.50 % (3188863)------------------------------
% 0.16/3.50 % (3188863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/3.50 % (3188863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/3.50 % (3188863)CaDiCaL version: 2.1.3
% 0.16/3.50 % (3188863)Termination reason: Refutation
% 0.16/3.50 % (3188863)Time elapsed: 2.116 s
% 0.16/3.50 % (3188863)Peak memory usage: 149 MB
% 0.16/3.50 % (3188863)Instructions burned: 3626 (million)
% 0.16/3.50 % (3188863)------------------------------
% 0.16/3.50 % (3188863)------------------------------
% 0.16/3.50 % (3188857)Success in time 2.568 s
% 0.16/3.50 % Vampire exiting
%------------------------------------------------------------------------------