%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL121-1 : 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 : n026.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 11:51:16 AM UTC 2026
% Result : Unsatisfiable 7.67s 2.05s
% Output : Refutation 7.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 21 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 77 ( 77 !; 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(a,equivalent(a,equivalent(equivalent(b,equivalent(c,c)),b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lg_1) ).
fof(f5,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(f6,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(unit_resulting_resolution,[],[f1,f2,f5]) ).
fof(f9,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,f6]) ).
fof(f11,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,f6,f6]) ).
fof(f17,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,f6,f11]) ).
fof(f23,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,f5,f17]) ).
fof(f62,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,f9]) ).
fof(f96,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(unit_resulting_resolution,[],[f1,f17,f62]) ).
fof(f112,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),
inference(unit_resulting_resolution,[],[f1,f11,f96]) ).
fof(f119,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(a,X0),equivalent(equivalent(a,equivalent(equivalent(b,equivalent(c,c)),b)),X0))),
inference(unit_resulting_resolution,[],[f1,f3,f112]) ).
fof(f135,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,X1)),equivalent(X0,equivalent(X3,X2)))),
inference(unit_resulting_resolution,[],[f1,f23,f112]) ).
fof(f541,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)),
inference(unit_resulting_resolution,[],[f1,f112,f135]) ).
fof(f543,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,X1)),X4),equivalent(equivalent(X0,equivalent(X3,X2)),X4))),
inference(unit_resulting_resolution,[],[f1,f6,f135]) ).
fof(f581,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1)),X0)),
inference(unit_resulting_resolution,[],[f1,f11,f541]) ).
fof(f631,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X0)),
inference(unit_resulting_resolution,[],[f1,f23,f581]) ).
fof(f1407,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X3),equivalent(X0,X3))),
inference(unit_resulting_resolution,[],[f1,f6,f631]) ).
fof(f1476,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X3),X4),equivalent(equivalent(X0,X3),X4))),
inference(unit_resulting_resolution,[],[f1,f6,f1407]) ).
fof(f1530,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),equivalent(X2,X3))),equivalent(X0,equivalent(X3,X2)))),
inference(unit_resulting_resolution,[],[f1,f581,f1476]) ).
fof(f3697,plain,
$false,
inference(unit_resulting_resolution,[],[f1,f119,f1530,f543]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL121-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 15:25:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.43 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
% 6.37/1.88 % (2989232)Input is clausal, will run a generic CNF schedule.
% 6.37/1.88 % (2989238)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4024316040:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.37/1.88 % (2989237)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=961512330:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.37/1.88 % (2989240)lrs+10_1_sil=8000:sp=occurrence:random_seed=479278887:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.37/1.88 % (2989239)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1886058489:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.37/1.88 % (2989243)dis-21_1_sil=8000:lcm=predicate:random_seed=228985629: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)
% 6.37/1.88 % (2989242)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2284762463:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.37/1.88 % (2989241)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2028705104:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.37/1.88 % (2989240)Instruction limit reached!
% 6.37/1.88 % (2989240)------------------------------
% 6.37/1.88 % (2989240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.88 % (2989240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.88 % (2989240)CaDiCaL version: 2.1.3
% 6.37/1.88 % (2989240)Termination reason: Instruction limit
% 6.37/1.88 % (2989240)Termination phase: Saturation
% 6.37/1.88 % (2989240)Time elapsed: 0.067 s
% 6.37/1.88 % (2989240)Peak memory usage: 88 MB
% 6.37/1.88 % (2989240)Instructions burned: 108 (million)
% 6.37/1.88 % (2989243)Instruction limit reached!
% 6.37/1.88 % (2989243)------------------------------
% 6.37/1.88 % (2989243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.88 % (2989243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.88 % (2989243)CaDiCaL version: 2.1.3
% 6.37/1.88 % (2989243)Termination reason: Instruction limit
% 6.37/1.88 % (2989243)Termination phase: Saturation
% 6.37/1.88 % (2989243)Time elapsed: 0.070 s
% 6.37/1.88 % (2989243)Peak memory usage: 88 MB
% 6.37/1.88 % (2989243)Instructions burned: 117 (million)
% 6.37/1.88 % (2989242)Instruction limit reached!
% 6.37/1.88 % (2989242)------------------------------
% 6.37/1.88 % (2989242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.88 % (2989242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.88 % (2989242)CaDiCaL version: 2.1.3
% 6.37/1.88 % (2989242)Termination reason: Instruction limit
% 6.37/1.88 % (2989242)Termination phase: Saturation
% 6.37/1.88 % (2989242)Time elapsed: 0.113 s
% 6.37/1.88 % (2989242)Peak memory usage: 88 MB
% 6.37/1.88 % (2989242)Instructions burned: 182 (million)
% 6.37/1.88 % (2989241)Instruction limit reached!
% 6.37/1.88 % (2989241)------------------------------
% 6.37/1.88 % (2989241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.88 % (2989241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.88 % (2989241)CaDiCaL version: 2.1.3
% 6.37/1.88 % (2989241)Termination reason: Instruction limit
% 6.37/1.88 % (2989241)Termination phase: Saturation
% 6.37/1.88 % (2989241)Time elapsed: 0.104 s
% 6.37/1.88 % (2989241)Peak memory usage: 88 MB
% 6.37/1.88 % (2989241)Instructions burned: 115 (million)
% 6.37/1.88 % (2989251)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=916736883:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.37/1.88 % (2989251)Refutation not found, incomplete strategy
% 6.37/1.88 % (2989251)------------------------------
% 6.37/1.88 % (2989251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.88 % (2989251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.88 % (2989251)CaDiCaL version: 2.1.3
% 6.37/1.88 % (2989251)Termination reason: Refutation not found, incomplete strategy
% 6.37/1.88 % (2989251)Time elapsed: 0.001 s
% 6.37/1.88 % (2989251)Peak memory usage: 87 MB
% 6.37/1.88 % (2989252)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1438164185: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)
% 7.67/2.05 % (2989253)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1787941341:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.67/2.05 % (2989253)Refutation not found, incomplete strategy
% 7.67/2.05 % (2989253)------------------------------
% 7.67/2.05 % (2989253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/2.05 % (2989253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/2.05 % (2989253)CaDiCaL version: 2.1.3
% 7.67/2.05 % (2989253)Termination reason: Refutation not found, incomplete strategy
% 7.67/2.05 % (2989253)Time elapsed: 0.001 s
% 7.67/2.05 % (2989253)Peak memory usage: 87 MB
% 7.67/2.05 % (2989254)lrs+10_64_to=lpo:sil=8000:random_seed=2406636238:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.67/2.05 % (2989252)Instruction limit reached!
% 7.67/2.05 % (2989252)------------------------------
% 7.67/2.05 % (2989252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/2.05 % (2989252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/2.05 % (2989252)CaDiCaL version: 2.1.3
% 7.67/2.05 % (2989252)Termination reason: Instruction limit
% 7.67/2.05 % (2989252)Termination phase: Saturation
% 7.67/2.05 % (2989252)Time elapsed: 0.107 s
% 7.67/2.05 % (2989252)Peak memory usage: 88 MB
% 7.67/2.05 % (2989252)Instructions burned: 190 (million)
% 7.67/2.05 % (2989254)Instruction limit reached!
% 7.67/2.05 % (2989254)------------------------------
% 7.67/2.05 % (2989254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/2.05 % (2989254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/2.05 % (2989254)CaDiCaL version: 2.1.3
% 7.67/2.05 % (2989254)Termination reason: Instruction limit
% 7.67/2.05 % (2989254)Termination phase: Saturation
% 7.67/2.05 % (2989254)Time elapsed: 0.117 s
% 7.67/2.05 % (2989254)Peak memory usage: 88 MB
% 7.67/2.05 % (2989254)Instructions burned: 126 (million)
% 7.67/2.05 % (2989251)------------------------------
% 7.67/2.05 % (2989251)------------------------------
% 7.67/2.05 % (2989259)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3252775310:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.67/2.05 % (2989253)------------------------------
% 7.67/2.05 % (2989253)------------------------------
% 7.67/2.05 % (2989259)Instruction limit reached!
% 7.67/2.05 % (2989259)------------------------------
% 7.67/2.05 % (2989259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/2.05 % (2989259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/2.05 % (2989259)CaDiCaL version: 2.1.3
% 7.67/2.05 % (2989259)Termination reason: Instruction limit
% 7.67/2.05 % (2989259)Termination phase: Saturation
% 7.67/2.05 % (2989259)Time elapsed: 0.072 s
% 7.67/2.05 % (2989259)Peak memory usage: 87 MB
% 7.67/2.05 % (2989259)Instructions burned: 195 (million)
% 7.67/2.05 % (2989238)First to succeed.
% 7.67/2.05 % (2989238)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2989232"
% 7.67/2.05 % (2989260)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4062897207:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.67/2.05 % (2989261)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4124484605:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 7.67/2.05 % (2989263)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=4199613035:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.67/2.05 % (2989264)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2088586538:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 7.67/2.05 % (2989264)Refutation not found, incomplete strategy
% 7.67/2.05 % (2989264)------------------------------
% 7.67/2.05 % (2989264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/2.05 % (2989264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/2.05 % (2989264)CaDiCaL version: 2.1.3
% 7.67/2.05 % (2989264)Termination reason: Refutation not found, incomplete strategy
% 7.67/2.05 % (2989264)Time elapsed: 0.001 s
% 7.67/2.05 % (2989264)Peak memory usage: 87 MB
% 7.67/2.05 % (2989260)Instruction limit reached!
% 7.67/2.05 % (2989260)------------------------------
% 7.67/2.05 % (2989260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/2.05 % (2989260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/2.05 % (2989260)CaDiCaL version: 2.1.3
% 7.67/2.05 % (2989260)Termination reason: Instruction limit
% 7.67/2.05 % (2989260)Termination phase: Saturation
% 7.67/2.05 % (2989260)Time elapsed: 0.120 s
% 7.67/2.05 % (2989260)Peak memory usage: 91 MB
% 7.67/2.05 % (2989260)Instructions burned: 159 (million)
% 7.67/2.05 % (2989263)Instruction limit reached!
% 7.67/2.05 % (2989263)------------------------------
% 7.67/2.05 % (2989263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/2.05 % (2989263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/2.05 % (2989263)CaDiCaL version: 2.1.3
% 7.67/2.05 % (2989263)Termination reason: Instruction limit
% 7.67/2.05 % (2989263)Termination phase: Saturation
% 7.67/2.05 % (2989263)Time elapsed: 0.047 s
% 7.67/2.05 % (2989263)Peak memory usage: 88 MB
% 7.67/2.05 % (2989263)Instructions burned: 106 (million)
% 7.67/2.05 % (2989238)Refutation found. Thanks to Tanya!
% 7.67/2.05 % SZS status Unsatisfiable for theBenchmark
% 7.67/2.05 % SZS output start Proof for theBenchmark
% See solution above
% 7.67/2.05 % (2989238)------------------------------
% 7.67/2.05 % (2989238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/2.05 % (2989238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/2.05 % (2989238)CaDiCaL version: 2.1.3
% 7.67/2.05 % (2989238)Termination reason: Refutation
% 7.67/2.05 % (2989238)Time elapsed: 0.618 s
% 7.67/2.05 % (2989238)Peak memory usage: 135 MB
% 7.67/2.05 % (2989238)Instructions burned: 1701 (million)
% 7.67/2.05 % (2989238)------------------------------
% 7.67/2.05 % (2989238)------------------------------
% 7.67/2.05 % (2989232)Success in time 0.999 s
% 7.67/2.05 % Vampire exiting
%------------------------------------------------------------------------------