%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL202-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 11:51:32 AM UTC 2026
% Result : Unsatisfiable 8.46s 2.16s
% Output : Refutation 8.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 27 unt; 0 def)
% Number of atoms : 35 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f9,negated_conjecture,
~ theorem(implies(not(or(p,q)),or(p,not(q)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f10,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f11,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f12,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f13,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f14,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f15,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f16,plain,
~ theorem(or(not(not(or(p,q))),or(p,not(q)))),
inference(definition_unfolding,[],[f9,f6]) ).
fof(f18,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(unit_resulting_resolution,[],[f7,f14]) ).
fof(f19,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(unit_resulting_resolution,[],[f7,f12]) ).
fof(f20,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(unit_resulting_resolution,[],[f7,f11]) ).
fof(f25,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X0,or(X2,X1)))),
inference(unit_resulting_resolution,[],[f15,f19,f18]) ).
fof(f45,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(unit_resulting_resolution,[],[f7,f10]) ).
fof(f48,plain,
! [X0,X1] : theorem(or(not(or(X0,or(X1,X1))),or(X0,X1))),
inference(unit_resulting_resolution,[],[f15,f18,f45]) ).
fof(f52,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(unit_resulting_resolution,[],[f7,f13]) ).
fof(f59,plain,
~ theorem(or(p,or(not(not(or(p,q))),not(q)))),
inference(unit_resulting_resolution,[],[f15,f16,f52]) ).
fof(f88,plain,
~ theorem(or(p,or(not(q),not(not(or(p,q)))))),
inference(unit_resulting_resolution,[],[f15,f25,f59]) ).
fof(f118,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(unit_resulting_resolution,[],[f15,f20,f48]) ).
fof(f207,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(unit_resulting_resolution,[],[f15,f19,f118]) ).
fof(f232,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,not(not(X1))))),
inference(unit_resulting_resolution,[],[f15,f18,f207]) ).
fof(f247,plain,
! [X0,X1] : theorem(or(not(X0),not(not(or(X1,X0))))),
inference(unit_resulting_resolution,[],[f15,f20,f232]) ).
fof(f375,plain,
$false,
inference(unit_resulting_resolution,[],[f15,f88,f20,f247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL202-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:31:17 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 6.82/1.97 % (2785184)Input is clausal, will run a generic CNF schedule.
% 6.82/1.97 % (2785191)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2279584072:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.82/1.97 % (2785189)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=2751639915:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.82/1.97 % (2785193)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2544067443:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.82/1.97 % (2785195)dis-21_1_sil=8000:lcm=predicate:random_seed=2901494516: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)
% 6.82/1.97 % (2785190)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2921071796:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.82/1.97 % (2785192)lrs+10_1_sil=8000:sp=occurrence:random_seed=3032227723:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.82/1.97 % (2785194)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2516075054:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.82/1.97 % (2785195)Instruction limit reached!
% 6.82/1.97 % (2785195)------------------------------
% 6.82/1.97 % (2785195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.97 % (2785195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.97 % (2785195)CaDiCaL version: 2.1.3
% 6.82/1.97 % (2785195)Termination reason: Instruction limit
% 6.82/1.97 % (2785195)Termination phase: Saturation
% 6.82/1.97 % (2785195)Time elapsed: 0.058 s
% 6.82/1.97 % (2785195)Peak memory usage: 87 MB
% 6.82/1.97 % (2785195)Instructions burned: 117 (million)
% 6.82/1.97 % (2785193)Instruction limit reached!
% 6.82/1.97 % (2785193)------------------------------
% 6.82/1.97 % (2785193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.97 % (2785193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.97 % (2785193)CaDiCaL version: 2.1.3
% 6.82/1.97 % (2785193)Termination reason: Instruction limit
% 6.82/1.97 % (2785193)Termination phase: Saturation
% 6.82/1.97 % (2785193)Time elapsed: 0.062 s
% 6.82/1.97 % (2785193)Peak memory usage: 87 MB
% 6.82/1.97 % (2785193)Instructions burned: 114 (million)
% 6.82/1.97 % (2785192)Instruction limit reached!
% 6.82/1.97 % (2785192)------------------------------
% 6.82/1.97 % (2785192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.97 % (2785192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.97 % (2785192)CaDiCaL version: 2.1.3
% 6.82/1.97 % (2785192)Termination reason: Instruction limit
% 6.82/1.97 % (2785192)Termination phase: Saturation
% 6.82/1.97 % (2785192)Time elapsed: 0.069 s
% 6.82/1.97 % (2785192)Peak memory usage: 89 MB
% 6.82/1.97 % (2785192)Instructions burned: 107 (million)
% 6.82/1.97 % (2785194)Instruction limit reached!
% 6.82/1.97 % (2785194)------------------------------
% 6.82/1.97 % (2785194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.97 % (2785194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.97 % (2785194)CaDiCaL version: 2.1.3
% 6.82/1.97 % (2785194)Termination reason: Instruction limit
% 6.82/1.97 % (2785194)Termination phase: Saturation
% 6.82/1.97 % (2785194)Time elapsed: 0.121 s
% 6.82/1.97 % (2785194)Peak memory usage: 89 MB
% 6.82/1.97 % (2785194)Instructions burned: 180 (million)
% 6.82/1.97 % (2785203)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=2059835587:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.82/1.97 % (2785204)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3783406638: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)
% 6.82/1.97 % (2785204)Refutation not found, incomplete strategy
% 6.82/1.97 % (2785204)------------------------------
% 6.82/1.97 % (2785204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.97 % (2785203)Refutation not found, incomplete strategy
% 6.82/1.97 % (2785203)------------------------------
% 6.82/1.97 % (2785203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.16 % (2785204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.16 % (2785203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.16 % (2785203)CaDiCaL version: 2.1.3
% 8.46/2.16 % (2785204)CaDiCaL version: 2.1.3
% 8.46/2.16 % (2785204)Termination reason: Refutation not found, incomplete strategy
% 8.46/2.16 % (2785204)Time elapsed: 0.001 s
% 8.46/2.16 % (2785203)Termination reason: Refutation not found, incomplete strategy
% 8.46/2.16 % (2785203)Time elapsed: 0.001 s
% 8.46/2.16 % (2785204)Peak memory usage: 87 MB
% 8.46/2.16 % (2785203)Peak memory usage: 87 MB
% 8.46/2.16 % (2785205)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4143726435:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.46/2.16 % (2785205)Refutation not found, incomplete strategy
% 8.46/2.16 % (2785205)------------------------------
% 8.46/2.16 % (2785205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.16 % (2785205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.16 % (2785205)CaDiCaL version: 2.1.3
% 8.46/2.16 % (2785205)Termination reason: Refutation not found, incomplete strategy
% 8.46/2.16 % (2785205)Time elapsed: 0.001 s
% 8.46/2.16 % (2785205)Peak memory usage: 88 MB
% 8.46/2.16 % (2785206)lrs+10_64_to=lpo:sil=8000:random_seed=4271745529:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.46/2.16 % (2785206)Instruction limit reached!
% 8.46/2.16 % (2785206)------------------------------
% 8.46/2.16 % (2785206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.16 % (2785206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.16 % (2785206)CaDiCaL version: 2.1.3
% 8.46/2.16 % (2785206)Termination reason: Instruction limit
% 8.46/2.16 % (2785206)Termination phase: Saturation
% 8.46/2.16 % (2785206)Time elapsed: 0.072 s
% 8.46/2.16 % (2785206)Peak memory usage: 89 MB
% 8.46/2.16 % (2785206)Instructions burned: 127 (million)
% 8.46/2.16 % (2785203)------------------------------
% 8.46/2.16 % (2785203)------------------------------
% 8.46/2.16 % (2785204)------------------------------
% 8.46/2.16 % (2785204)------------------------------
% 8.46/2.16 % (2785205)------------------------------
% 8.46/2.16 % (2785205)------------------------------
% 8.46/2.16 % (2785211)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3258598360:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 8.46/2.16 % (2785213)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2865999294:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.46/2.16 % (2785212)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1086329979:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 8.46/2.16 % (2785214)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=3624958744:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.46/2.16 % (2785211)Instruction limit reached!
% 8.46/2.16 % (2785211)------------------------------
% 8.46/2.16 % (2785211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.16 % (2785211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.16 % (2785211)CaDiCaL version: 2.1.3
% 8.46/2.16 % (2785211)Termination reason: Instruction limit
% 8.46/2.16 % (2785211)Termination phase: Saturation
% 8.46/2.16 % (2785211)Time elapsed: 0.124 s
% 8.46/2.16 % (2785211)Peak memory usage: 90 MB
% 8.46/2.16 % (2785211)Instructions burned: 195 (million)
% 8.46/2.16 % (2785214)Instruction limit reached!
% 8.46/2.16 % (2785214)------------------------------
% 8.46/2.16 % (2785214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.16 % (2785214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.16 % (2785214)CaDiCaL version: 2.1.3
% 8.46/2.16 % (2785214)Termination reason: Instruction limit
% 8.46/2.16 % (2785214)Termination phase: Saturation
% 8.46/2.16 % (2785214)Time elapsed: 0.057 s
% 8.46/2.16 % (2785214)Peak memory usage: 89 MB
% 8.46/2.16 % (2785214)Instructions burned: 107 (million)
% 8.46/2.16 % (2785190)First to succeed.
% 8.46/2.16 % (2785190)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2785184"
% 8.46/2.16 % (2785212)Instruction limit reached!
% 8.46/2.16 % (2785212)------------------------------
% 8.46/2.16 % (2785212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.16 % (2785212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.16 % (2785212)CaDiCaL version: 2.1.3
% 8.46/2.16 % (2785212)Termination reason: Instruction limit
% 8.46/2.16 % (2785212)Termination phase: Saturation
% 8.46/2.16 % (2785212)Time elapsed: 0.108 s
% 8.46/2.16 % (2785212)Peak memory usage: 90 MB
% 8.46/2.16 % (2785212)Instructions burned: 157 (million)
% 8.46/2.16 % (2785189)Also succeeded, but the first one will report.
% 8.46/2.16 % (2785219)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3977811740:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 8.46/2.16 % (2785219)Refutation not found, incomplete strategy
% 8.46/2.16 % (2785219)------------------------------
% 8.46/2.16 % (2785219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.16 % (2785219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.16 % (2785219)CaDiCaL version: 2.1.3
% 8.46/2.16 % (2785219)Termination reason: Refutation not found, incomplete strategy
% 8.46/2.16 % (2785219)Time elapsed: 0.001 s
% 8.46/2.16 % (2785219)Peak memory usage: 87 MB
% 8.46/2.16 % (2785220)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3754921386:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.46/2.16 % (2785221)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2039610478:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.46/2.16 % (2785190)Refutation found. Thanks to Tanya!
% 8.46/2.16 % SZS status Unsatisfiable for theBenchmark
% 8.46/2.16 % SZS output start Proof for theBenchmark
% See solution above
% 8.46/2.16 % (2785190)------------------------------
% 8.46/2.16 % (2785190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.16 % (2785190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.16 % (2785190)CaDiCaL version: 2.1.3
% 8.46/2.16 % (2785190)Termination reason: Refutation
% 8.46/2.16 % (2785190)Time elapsed: 0.679 s
% 8.46/2.16 % (2785190)Peak memory usage: 128 MB
% 8.46/2.16 % (2785190)Instructions burned: 1028 (million)
% 8.46/2.16 % (2785190)------------------------------
% 8.46/2.16 % (2785190)------------------------------
% 8.46/2.16 % (2785184)Success in time 1.115 s
% 8.46/2.16 % Vampire exiting
%------------------------------------------------------------------------------