%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL123-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 11:51:17 AM UTC 2026
% Result : Unsatisfiable 13.73s 3.49s
% Output : Refutation 13.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 18 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 63 ( 63 !; 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,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_2) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f))),equivalent(a,equivalent(e,equivalent(c,f))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lg_4) ).
fof(f4,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))),equivalent(equivalent(X4,X5),equivalent(equivalent(X4,X6),equivalent(X5,X6))))),
inference(unit_resulting_resolution,[],[f1,f2,f2]) ).
fof(f7,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(unit_resulting_resolution,[],[f1,f2,f4]) ).
fof(f10,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4)))),X1))),
inference(unit_resulting_resolution,[],[f1,f2,f7]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X0,X3),equivalent(X1,X3)),X2))),
inference(unit_resulting_resolution,[],[f1,f7,f7]) ).
fof(f18,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(equivalent(X0,X3),equivalent(X2,X3)))),
inference(unit_resulting_resolution,[],[f1,f7,f12]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),X4),equivalent(equivalent(X0,equivalent(X1,X3)),X4))),
inference(unit_resulting_resolution,[],[f1,f4,f18]) ).
fof(f46,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),equivalent(X0,equivalent(equivalent(X4,X5),equivalent(equivalent(X4,X6),equivalent(X5,X6)))))),
inference(unit_resulting_resolution,[],[f1,f2,f10]) ).
fof(f61,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(e,X0),equivalent(equivalent(b,f),X0))),equivalent(a,equivalent(e,equivalent(c,f))))),
inference(unit_resulting_resolution,[],[f1,f3,f24]) ).
fof(f137,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(unit_resulting_resolution,[],[f1,f18,f46]) ).
fof(f159,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),
inference(unit_resulting_resolution,[],[f1,f12,f137]) ).
fof(f161,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X1,X3),equivalent(X2,X3))))),
inference(unit_resulting_resolution,[],[f1,f24,f137]) ).
fof(f174,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),equivalent(X0,equivalent(X1,X3)))),
inference(unit_resulting_resolution,[],[f1,f24,f159]) ).
fof(f191,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3),equivalent(equivalent(X0,X2),X3))),
inference(unit_resulting_resolution,[],[f1,f7,f159]) ).
fof(f269,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3)))),
inference(unit_resulting_resolution,[],[f1,f174,f191]) ).
fof(f305,plain,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(a,equivalent(equivalent(b,f),equivalent(c,f))))),
inference(unit_resulting_resolution,[],[f1,f61,f269]) ).
fof(f324,plain,
$false,
inference(forward_subsumption_resolution,[],[f305,f161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL123-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.48 % Computer : n010.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.48 % CPULimit : 300
% 0.22/0.48 % WCLimit : 300
% 0.22/0.48 % DateTime : Sun Sep 27 15:23:01 UTC 2026
% 0.22/0.49 % CPUTime :
% 0.22/0.49 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.55 Running first-order theorem proving
% 0.26/0.55 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
% 11.44/3.10 % (1086674)Input is clausal, will run a generic CNF schedule.
% 11.44/3.10 % (1086685)dis-21_1_sil=8000:lcm=predicate:random_seed=133898091: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)
% 11.44/3.10 % (1086680)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2815263807:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.44/3.10 % (1086679)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=1400279495:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.44/3.10 % (1086685)Instruction limit reached!
% 11.44/3.10 % (1086685)------------------------------
% 11.44/3.10 % (1086685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/3.10 % (1086685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/3.10 % (1086685)CaDiCaL version: 2.1.3
% 11.44/3.10 % (1086685)Termination reason: Instruction limit
% 11.44/3.10 % (1086685)Termination phase: Saturation
% 11.44/3.10 % (1086685)Time elapsed: 0.057 s
% 11.44/3.10 % (1086685)Peak memory usage: 88 MB
% 11.44/3.10 % (1086685)Instructions burned: 118 (million)
% 11.44/3.10 % (1086681)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=164773836:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.44/3.10 % (1086683)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=225239270:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.44/3.10 % (1086684)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2169703132:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.44/3.10 % (1086682)lrs+10_1_sil=8000:sp=occurrence:random_seed=1923256263:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.44/3.10 % (1086683)Instruction limit reached!
% 11.44/3.10 % (1086683)------------------------------
% 11.44/3.10 % (1086683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/3.10 % (1086682)Instruction limit reached!
% 11.44/3.10 % (1086682)------------------------------
% 11.44/3.10 % (1086682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/3.10 % (1086683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/3.10 % (1086682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/3.10 % (1086683)CaDiCaL version: 2.1.3
% 11.44/3.10 % (1086683)Termination reason: Instruction limit
% 11.44/3.10 % (1086683)Termination phase: Saturation
% 11.44/3.10 % (1086682)CaDiCaL version: 2.1.3
% 11.44/3.10 % (1086683)Time elapsed: 0.103 s
% 11.44/3.10 % (1086682)Termination reason: Instruction limit
% 11.44/3.10 % (1086682)Termination phase: Saturation
% 11.44/3.10 % (1086683)Peak memory usage: 88 MB
% 11.44/3.10 % (1086682)Time elapsed: 0.103 s
% 11.44/3.10 % (1086683)Instructions burned: 114 (million)
% 11.44/3.10 % (1086682)Peak memory usage: 88 MB
% 11.44/3.10 % (1086682)Instructions burned: 107 (million)
% 11.44/3.10 % (1086684)Instruction limit reached!
% 11.44/3.10 % (1086684)------------------------------
% 11.44/3.10 % (1086684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/3.10 % (1086684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/3.10 % (1086684)CaDiCaL version: 2.1.3
% 11.44/3.10 % (1086684)Termination reason: Instruction limit
% 11.44/3.10 % (1086684)Termination phase: Saturation
% 11.44/3.10 % (1086684)Time elapsed: 0.177 s
% 11.44/3.10 % (1086684)Peak memory usage: 88 MB
% 11.44/3.10 % (1086684)Instructions burned: 180 (million)
% 11.44/3.10 % (1086693)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=2019453099:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.44/3.10 % (1086693)Refutation not found, incomplete strategy
% 11.44/3.10 % (1086693)------------------------------
% 11.44/3.10 % (1086693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/3.10 % (1086693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/3.10 % (1086693)CaDiCaL version: 2.1.3
% 11.44/3.10 % (1086693)Termination reason: Refutation not found, incomplete strategy
% 11.44/3.10 % (1086693)Time elapsed: 0.001 s
% 11.44/3.10 % (1086693)Peak memory usage: 87 MB
% 11.44/3.10 % (1086695)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3691681175:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 13.73/3.49 % (1086694)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4182928864: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)
% 13.73/3.49 % (1086695)Refutation not found, incomplete strategy
% 13.73/3.49 % (1086695)------------------------------
% 13.73/3.49 % (1086695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.73/3.49 % (1086695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/3.49 % (1086695)CaDiCaL version: 2.1.3
% 13.73/3.49 % (1086695)Termination reason: Refutation not found, incomplete strategy
% 13.73/3.49 % (1086695)Time elapsed: 0.001 s
% 13.73/3.49 % (1086695)Peak memory usage: 87 MB
% 13.73/3.49 % (1086696)lrs+10_64_to=lpo:sil=8000:random_seed=1906592235:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 13.73/3.49 % (1086693)------------------------------
% 13.73/3.49 % (1086693)------------------------------
% 13.73/3.49 % (1086694)Instruction limit reached!
% 13.73/3.49 % (1086694)------------------------------
% 13.73/3.49 % (1086694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.73/3.49 % (1086694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/3.49 % (1086694)CaDiCaL version: 2.1.3
% 13.73/3.49 % (1086694)Termination reason: Instruction limit
% 13.73/3.49 % (1086694)Termination phase: Saturation
% 13.73/3.49 % (1086694)Time elapsed: 0.162 s
% 13.73/3.49 % (1086694)Peak memory usage: 87 MB
% 13.73/3.49 % (1086694)Instructions burned: 189 (million)
% 13.73/3.49 % (1086696)Instruction limit reached!
% 13.73/3.49 % (1086696)------------------------------
% 13.73/3.49 % (1086696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.73/3.49 % (1086696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/3.49 % (1086696)CaDiCaL version: 2.1.3
% 13.73/3.49 % (1086696)Termination reason: Instruction limit
% 13.73/3.49 % (1086696)Termination phase: Saturation
% 13.73/3.49 % (1086696)Time elapsed: 0.134 s
% 13.73/3.49 % (1086696)Peak memory usage: 89 MB
% 13.73/3.49 % (1086696)Instructions burned: 126 (million)
% 13.73/3.49 % (1086709)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=542059096:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 13.73/3.49 % (1086695)------------------------------
% 13.73/3.49 % (1086695)------------------------------
% 13.73/3.49 % (1086709)Instruction limit reached!
% 13.73/3.49 % (1086709)------------------------------
% 13.73/3.49 % (1086709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.73/3.49 % (1086709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/3.49 % (1086709)CaDiCaL version: 2.1.3
% 13.73/3.49 % (1086709)Termination reason: Instruction limit
% 13.73/3.49 % (1086709)Termination phase: Saturation
% 13.73/3.49 % (1086709)Time elapsed: 0.064 s
% 13.73/3.49 % (1086709)Peak memory usage: 88 MB
% 13.73/3.49 % (1086709)Instructions burned: 195 (million)
% 13.73/3.49 % (1086710)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3078733576:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 13.73/3.49 % (1086711)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3022721310:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 13.73/3.49 % (1086710)Instruction limit reached!
% 13.73/3.49 % (1086710)------------------------------
% 13.73/3.49 % (1086710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.73/3.49 % (1086710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/3.49 % (1086710)CaDiCaL version: 2.1.3
% 13.73/3.49 % (1086710)Termination reason: Instruction limit
% 13.73/3.49 % (1086710)Termination phase: Saturation
% 13.73/3.49 % (1086710)Time elapsed: 0.151 s
% 13.73/3.49 % (1086710)Peak memory usage: 92 MB
% 13.73/3.49 % (1086710)Instructions burned: 157 (million)
% 13.73/3.49 % (1086714)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=273516268:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 13.73/3.49 % (1086714)Refutation not found, incomplete strategy
% 13.73/3.49 % (1086714)------------------------------
% 13.73/3.49 % (1086714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.73/3.49 % (1086714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/3.49 % (1086714)CaDiCaL version: 2.1.3
% 13.73/3.49 % (1086714)Termination reason: Refutation not found, incomplete strategy
% 13.73/3.49 % (1086714)Time elapsed: 0.001 s
% 13.73/3.49 % (1086714)Peak memory usage: 87 MB
% 13.73/3.49 % (1086713)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=2788490554:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 13.73/3.49 % (1086680)First to succeed.
% 13.73/3.49 % (1086680)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1086674"
% 13.73/3.49 % (1086713)Instruction limit reached!
% 13.73/3.49 % (1086713)------------------------------
% 13.73/3.49 % (1086713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.73/3.49 % (1086713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/3.49 % (1086713)CaDiCaL version: 2.1.3
% 13.73/3.49 % (1086713)Termination reason: Instruction limit
% 13.73/3.49 % (1086713)Termination phase: Saturation
% 13.73/3.49 % (1086713)Time elapsed: 0.078 s
% 13.73/3.49 % (1086713)Peak memory usage: 88 MB
% 13.73/3.49 % (1086713)Instructions burned: 106 (million)
% 13.73/3.49 % (1086714)------------------------------
% 13.73/3.49 % (1086714)------------------------------
% 13.73/3.49 % (1086717)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3685406807:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 13.73/3.49 % (1086720)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3143733064:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 13.73/3.49 % (1086680)Refutation found. Thanks to Tanya!
% 13.73/3.49 % SZS status Unsatisfiable for theBenchmark
% 13.73/3.49 % SZS output start Proof for theBenchmark
% See solution above
% 13.73/3.49 % (1086680)------------------------------
% 13.73/3.49 % (1086680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.73/3.49 % (1086680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/3.49 % (1086680)CaDiCaL version: 2.1.3
% 13.73/3.49 % (1086680)Termination reason: Refutation
% 13.73/3.49 % (1086680)Time elapsed: 1.084 s
% 13.73/3.49 % (1086680)Peak memory usage: 128 MB
% 13.73/3.49 % (1086680)Instructions burned: 1004 (million)
% 13.73/3.49 % (1086680)------------------------------
% 13.73/3.49 % (1086680)------------------------------
% 13.73/3.49 % (1086674)Success in time 1.803 s
% 13.73/3.49 % Vampire exiting
%------------------------------------------------------------------------------