%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL061-1 : 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 : n015.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 11:51:04 AM UTC 2026
% Result : Unsatisfiable 0.19s 2.21s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 37 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 101 ( 101 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),c),implies(implies(b,c),implies(implies(a,b),c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_59) ).
fof(f7,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(unit_resulting_resolution,[],[f1,f2,f2]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))),
inference(unit_resulting_resolution,[],[f1,f7,f7]) ).
fof(f23,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(unit_resulting_resolution,[],[f1,f2,f3]) ).
fof(f32,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f9,f23]) ).
fof(f33,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))),
inference(unit_resulting_resolution,[],[f1,f2,f23]) ).
fof(f49,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f9,f4]) ).
fof(f51,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(unit_resulting_resolution,[],[f1,f2,f4]) ).
fof(f78,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(unit_resulting_resolution,[],[f1,f3,f51]) ).
fof(f95,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(unit_resulting_resolution,[],[f1,f51,f49]) ).
fof(f112,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(unit_resulting_resolution,[],[f1,f2,f95]) ).
fof(f200,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(unit_resulting_resolution,[],[f1,f32,f112]) ).
fof(f243,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(unit_resulting_resolution,[],[f1,f78,f200]) ).
fof(f246,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3))),
inference(unit_resulting_resolution,[],[f1,f2,f200]) ).
fof(f264,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X0,X1),X2)))),
inference(unit_resulting_resolution,[],[f1,f32,f246]) ).
fof(f362,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(implies(X2,X0),X1)),X3),implies(X2,X3))),
inference(unit_resulting_resolution,[],[f1,f2,f264]) ).
fof(f440,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
inference(unit_resulting_resolution,[],[f1,f362,f243]) ).
fof(f933,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(unit_resulting_resolution,[],[f1,f32,f440]) ).
fof(f952,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(unit_resulting_resolution,[],[f1,f51,f933]) ).
fof(f964,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(unit_resulting_resolution,[],[f1,f7,f933]) ).
fof(f993,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f7,f933]) ).
fof(f1083,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X0,X2)),X3),implies(implies(X1,X2),X3))),
inference(unit_resulting_resolution,[],[f1,f2,f964]) ).
fof(f1248,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X3),implies(implies(X3,X1),X2)))),
inference(unit_resulting_resolution,[],[f1,f7,f1083]) ).
fof(f1250,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X3,X1),implies(implies(X0,X3),X2)))),
inference(unit_resulting_resolution,[],[f1,f1083,f1083]) ).
fof(f1353,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(unit_resulting_resolution,[],[f1,f3,f1248]) ).
fof(f1398,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(unit_resulting_resolution,[],[f1,f952,f1353]) ).
fof(f1594,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),X0))),
inference(unit_resulting_resolution,[],[f1,f1248,f1398]) ).
fof(f1916,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X1),X1))),
inference(unit_resulting_resolution,[],[f1,f7,f1594]) ).
fof(f2132,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X2),X2))),
inference(unit_resulting_resolution,[],[f1,f993,f1916]) ).
fof(f2229,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
inference(unit_resulting_resolution,[],[f1,f33,f2132]) ).
fof(f2317,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,X1),X1))),
inference(unit_resulting_resolution,[],[f1,f993,f2229]) ).
fof(f2442,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(implies(not(X0),X1),X2))),
inference(unit_resulting_resolution,[],[f1,f2,f2317]) ).
fof(f2461,plain,
~ is_a_theorem(implies(implies(implies(a,c),c),implies(implies(b,c),implies(implies(a,b),c)))),
inference(unit_resulting_resolution,[],[f1,f5,f2442]) ).
fof(f2551,plain,
$false,
inference(forward_subsumption_resolution,[],[f2461,f1250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL061-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n015.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 15:23:14 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 6.27/1.96 % (1773609)Input is clausal, will run a generic CNF schedule.
% 6.27/1.96 % (1773669)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2920365172:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.27/1.96 % (1773671)lrs+10_1_sil=8000:sp=occurrence:random_seed=4100164077:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.27/1.96 % (1773668)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=3561865179:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.27/1.96 % (1773670)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1108043214:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.27/1.96 % (1773673)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=238703742:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.27/1.96 % (1773671)Instruction limit reached!
% 6.27/1.96 % (1773671)------------------------------
% 6.27/1.96 % (1773671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.96 % (1773671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.96 % (1773671)CaDiCaL version: 2.1.3
% 6.27/1.96 % (1773671)Termination reason: Instruction limit
% 6.27/1.96 % (1773671)Termination phase: Saturation
% 6.27/1.96 % (1773671)Time elapsed: 0.070 s
% 6.27/1.96 % (1773671)Peak memory usage: 88 MB
% 6.27/1.96 % (1773671)Instructions burned: 107 (million)
% 6.27/1.96 % (1773674)dis-21_1_sil=8000:lcm=predicate:random_seed=395522965: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)
% 6.27/1.96 % (1773672)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=660961191:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.27/1.96 % (1773673)Instruction limit reached!
% 6.27/1.96 % (1773673)------------------------------
% 6.27/1.96 % (1773673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.96 % (1773673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.96 % (1773673)CaDiCaL version: 2.1.3
% 6.27/1.96 % (1773673)Termination reason: Instruction limit
% 6.27/1.96 % (1773673)Termination phase: Saturation
% 6.27/1.96 % (1773673)Time elapsed: 0.118 s
% 6.27/1.96 % (1773673)Peak memory usage: 89 MB
% 6.27/1.96 % (1773673)Instructions burned: 180 (million)
% 6.27/1.96 % (1773672)Instruction limit reached!
% 6.27/1.96 % (1773672)------------------------------
% 6.27/1.96 % (1773672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.96 % (1773672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.96 % (1773672)CaDiCaL version: 2.1.3
% 6.27/1.96 % (1773672)Termination reason: Instruction limit
% 6.27/1.96 % (1773672)Termination phase: Saturation
% 6.27/1.96 % (1773672)Time elapsed: 0.072 s
% 6.27/1.96 % (1773672)Peak memory usage: 88 MB
% 6.27/1.96 % (1773672)Instructions burned: 115 (million)
% 6.27/1.96 % (1773674)Instruction limit reached!
% 6.27/1.96 % (1773674)------------------------------
% 6.27/1.96 % (1773674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.96 % (1773674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.96 % (1773674)CaDiCaL version: 2.1.3
% 6.27/1.96 % (1773674)Termination reason: Instruction limit
% 6.27/1.96 % (1773674)Termination phase: Saturation
% 6.27/1.96 % (1773674)Time elapsed: 0.074 s
% 6.27/1.96 % (1773674)Peak memory usage: 88 MB
% 6.27/1.96 % (1773674)Instructions burned: 117 (million)
% 6.27/1.96 % (1773680)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=2060463112:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.27/1.96 % (1773680)Refutation not found, incomplete strategy
% 6.27/1.96 % (1773680)------------------------------
% 6.27/1.96 % (1773680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.27/1.96 % (1773680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.96 % (1773680)CaDiCaL version: 2.1.3
% 6.27/1.96 % (1773680)Termination reason: Refutation not found, incomplete strategy
% 6.27/1.96 % (1773680)Time elapsed: 0.001 s
% 6.27/1.96 % (1773680)Peak memory usage: 87 MB
% 6.27/1.96 % (1773683)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3456250103:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 0.19/2.21 % (1773684)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1440394122:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 0.19/2.21 % (1773685)lrs+10_64_to=lpo:sil=8000:random_seed=3103285431:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 0.19/2.21 % (1773684)Refutation not found, incomplete strategy
% 0.19/2.21 % (1773684)------------------------------
% 0.19/2.21 % (1773684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/2.21 % (1773684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/2.21 % (1773684)CaDiCaL version: 2.1.3
% 0.19/2.21 % (1773684)Termination reason: Refutation not found, incomplete strategy
% 0.19/2.21 % (1773684)Time elapsed: 0.001 s
% 0.19/2.21 % (1773684)Peak memory usage: 87 MB
% 0.19/2.21 % (1773683)Instruction limit reached!
% 0.19/2.21 % (1773683)------------------------------
% 0.19/2.21 % (1773683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/2.21 % (1773683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/2.21 % (1773683)CaDiCaL version: 2.1.3
% 0.19/2.21 % (1773683)Termination reason: Instruction limit
% 0.19/2.21 % (1773683)Termination phase: Saturation
% 0.19/2.21 % (1773683)Time elapsed: 0.150 s
% 0.19/2.21 % (1773683)Peak memory usage: 89 MB
% 0.19/2.21 % (1773683)Instructions burned: 189 (million)
% 0.19/2.21 % (1773685)Instruction limit reached!
% 0.19/2.21 % (1773685)------------------------------
% 0.19/2.21 % (1773685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/2.21 % (1773685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/2.21 % (1773685)CaDiCaL version: 2.1.3
% 0.19/2.21 % (1773685)Termination reason: Instruction limit
% 0.19/2.21 % (1773685)Termination phase: Saturation
% 0.19/2.21 % (1773685)Time elapsed: 0.127 s
% 0.19/2.21 % (1773685)Peak memory usage: 88 MB
% 0.19/2.21 % (1773685)Instructions burned: 126 (million)
% 0.19/2.21 % (1773680)------------------------------
% 0.19/2.21 % (1773680)------------------------------
% 0.19/2.21 % (1773669)First to succeed.
% 0.19/2.21 % (1773699)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=265835732:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 0.19/2.21 % (1773669)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1773609"
% 0.19/2.21 % (1773701)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1491332212:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 0.19/2.21 % (1773684)------------------------------
% 0.19/2.21 % (1773684)------------------------------
% 0.19/2.21 % (1773707)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1110581795:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 0.19/2.21 % (1773701)Instruction limit reached!
% 0.19/2.21 % (1773701)------------------------------
% 0.19/2.21 % (1773701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/2.21 % (1773701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/2.21 % (1773701)CaDiCaL version: 2.1.3
% 0.19/2.21 % (1773701)Termination reason: Instruction limit
% 0.19/2.21 % (1773701)Termination phase: Saturation
% 0.19/2.21 % (1773701)Time elapsed: 0.172 s
% 0.19/2.21 % (1773701)Peak memory usage: 90 MB
% 0.19/2.21 % (1773701)Instructions burned: 158 (million)
% 0.19/2.21 % (1773699)Instruction limit reached!
% 0.19/2.21 % (1773699)------------------------------
% 0.19/2.21 % (1773699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/2.21 % (1773699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/2.21 % (1773699)CaDiCaL version: 2.1.3
% 0.19/2.21 % (1773699)Termination reason: Instruction limit
% 0.19/2.21 % (1773699)Termination phase: Saturation
% 0.19/2.21 % (1773699)Time elapsed: 0.194 s
% 0.19/2.21 % (1773699)Peak memory usage: 90 MB
% 0.19/2.21 % (1773699)Instructions burned: 194 (million)
% 0.19/2.21 % (1773669)Refutation found. Thanks to Tanya!
% 0.19/2.21 % SZS status Unsatisfiable for theBenchmark
% 0.19/2.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/2.21 % (1773669)------------------------------
% 0.19/2.21 % (1773669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/2.21 % (1773669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/2.21 % (1773669)CaDiCaL version: 2.1.3
% 0.19/2.21 % (1773669)Termination reason: Refutation
% 0.19/2.21 % (1773669)Time elapsed: 0.704 s
% 0.19/2.21 % (1773669)Peak memory usage: 134 MB
% 0.19/2.21 % (1773669)Instructions burned: 1616 (million)
% 0.19/2.21 % (1773669)------------------------------
% 0.19/2.21 % (1773669)------------------------------
% 0.19/2.21 % (1773609)Success in time 1.085 s
% 0.19/2.21 % Vampire exiting
%------------------------------------------------------------------------------