%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO344+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 09:54:27 AM UTC 2026
% Result : Theorem 0.98s 0.59s
% Output : Refutation 0.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 19 unt; 0 def)
% Number of atoms : 216 ( 82 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 291 ( 119 ~; 118 |; 51 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 64 ( 55 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ron(vd1409,X0)
& ron(vd1401,X0)
& rline(X0) )
=> X0 = vd1419 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(theu(the(409), 1), imp(the(409)))') ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ron(vd1409,X0)
& ron(vd1401,X0)
& rline(X0) )
=> X0 = vd1419 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( ron(vd1409,vd1419)
& ron(vd1401,vd1419)
& rline(vd1419) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(s2(plural(the(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))') ).
fof(f7,axiom,
vd1409 != vd1401,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)') ).
fof(f8,axiom,
rpoint(vd1409),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(406, 0)') ).
fof(f9,axiom,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& ? [X0] :
( vd1401 = X0
& rpoint(X0) )
& ? [X1] :
( vd1400 = X1
& rpoint(X1) )
& ? [X2] :
( vd1399 = X2
& rpoint(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( ( ron(X1,X3)
& ron(X1,X2)
& ron(X0,X3)
& ron(X0,X2)
& ? [X4] :
( X3 = X4
& rline(X4) )
& ? [X5] :
( X2 = X5
& rline(X5) )
& X0 != X1
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(f134,plain,
? [X0] :
( vd1419 != X0
& ron(vd1409,X0)
& ron(vd1401,X0)
& rline(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f135,plain,
? [X0] :
( vd1419 != X0
& ron(vd1409,X0)
& ron(vd1401,X0)
& rline(X0) ),
inference(flattening,[],[f134]) ).
fof(f142,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| ! [X4] :
( X3 != X4
| ~ rline(X4) )
| ! [X5] :
( X2 != X5
| ~ rline(X5) )
| X0 = X1
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f143,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| ! [X4] :
( X3 != X4
| ~ rline(X4) )
| ! [X5] :
( X2 != X5
| ~ rline(X5) )
| X0 = X1
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f142]) ).
fof(f356,plain,
( vd1419 != sK1
& ron(vd1409,sK1)
& ron(vd1401,sK1)
& rline(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f135]) ).
fof(f357,plain,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& vd1401 = sK2
& rpoint(sK2)
& vd1400 = sK3
& rpoint(sK3)
& vd1399 = sK4
& rpoint(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f9]) ).
fof(f435,plain,
rline(sK1),
inference(cnf_transformation,[],[f356]) ).
fof(f436,plain,
ron(vd1401,sK1),
inference(cnf_transformation,[],[f356]) ).
fof(f437,plain,
ron(vd1409,sK1),
inference(cnf_transformation,[],[f356]) ).
fof(f438,plain,
vd1419 != sK1,
inference(cnf_transformation,[],[f356]) ).
fof(f439,plain,
rline(vd1419),
inference(cnf_transformation,[],[f3]) ).
fof(f440,plain,
ron(vd1401,vd1419),
inference(cnf_transformation,[],[f3]) ).
fof(f441,plain,
ron(vd1409,vd1419),
inference(cnf_transformation,[],[f3]) ).
fof(f447,plain,
vd1409 != vd1401,
inference(cnf_transformation,[],[f7]) ).
fof(f448,plain,
rpoint(vd1409),
inference(cnf_transformation,[],[f8]) ).
fof(f453,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f357]) ).
fof(f454,plain,
vd1401 = sK2,
inference(cnf_transformation,[],[f357]) ).
fof(f470,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| X3 != X4
| ~ rline(X4)
| X2 != X5
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f143]) ).
fof(f714,plain,
ron(sK2,sK1),
inference(definition_unfolding,[],[f436,f454]) ).
fof(f715,plain,
ron(sK2,vd1419),
inference(definition_unfolding,[],[f440,f454]) ).
fof(f719,plain,
vd1409 != sK2,
inference(definition_unfolding,[],[f447,f454]) ).
fof(f747,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( X2 = X4
| ~ ron(X1,X4)
| ~ ron(X1,X2)
| ~ ron(X0,X4)
| ~ ron(X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f470]) ).
fof(f748,plain,
! [X0,X1,X6,X7,X4,X5] :
( X4 = X5
| ~ ron(X1,X4)
| ~ ron(X1,X5)
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ rline(X4)
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f747]) ).
fof(f749,plain,
! [X0,X6,X7,X4,X5] :
( X4 = X5
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ rline(X4)
| ~ rline(X5)
| X0 = X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f748]) ).
fof(f750,plain,
! [X6,X7,X4,X5] :
( ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X7,X5)
| X4 = X5
| ~ rline(X4)
| ~ rline(X5)
| X6 = X7
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f749]) ).
fof(f3910,plain,
! [X0,X1] :
( ~ ron(vd1409,X0)
| ~ ron(X1,sK1)
| ~ ron(X1,X0)
| sK1 = X0
| ~ rline(sK1)
| ~ rline(X0)
| vd1409 = X1
| ~ rpoint(vd1409)
| ~ rpoint(X1) ),
inference(resolution,[],[f750,f437]) ).
fof(f4095,plain,
! [X0] :
( ~ ron(X0,sK1)
| ~ ron(X0,vd1419)
| vd1419 = sK1
| ~ rline(sK1)
| ~ rline(vd1419)
| vd1409 = X0
| ~ rpoint(vd1409)
| ~ rpoint(X0) ),
inference(resolution,[],[f3910,f441]) ).
fof(f4308,plain,
( ~ ron(sK2,vd1419)
| vd1419 = sK1
| ~ rline(sK1)
| ~ rline(vd1419)
| vd1409 = sK2
| ~ rpoint(vd1409)
| ~ rpoint(sK2) ),
inference(resolution,[],[f4095,f714]) ).
fof(f4376,plain,
( ~ rline(sK1)
| vd1419 = sK1
| ~ rline(vd1419)
| vd1409 = sK2
| ~ rpoint(vd1409)
| ~ rpoint(sK2) ),
inference(resolution,[],[f4308,f715]) ).
fof(f4417,plain,
( ~ rline(vd1419)
| vd1419 = sK1
| vd1409 = sK2
| ~ rpoint(vd1409)
| ~ rpoint(sK2) ),
inference(resolution,[],[f4376,f435]) ).
fof(f4434,plain,
( ~ rpoint(vd1409)
| vd1409 = sK2
| vd1419 = sK1
| ~ rpoint(sK2) ),
inference(resolution,[],[f4417,f439]) ).
fof(f4603,plain,
( ~ rpoint(sK2)
| vd1419 = sK1
| vd1409 = sK2 ),
inference(resolution,[],[f4434,f448]) ).
fof(f4604,plain,
( vd1419 = sK1
| vd1409 = sK2 ),
inference(resolution,[],[f4603,f453]) ).
fof(f4646,plain,
( vd1419 != vd1419
| vd1409 = sK2 ),
inference(superposition,[],[f438,f4604]) ).
fof(f4656,plain,
vd1409 = sK2,
inference(trivial_inequality_removal,[],[f4646]) ).
fof(f4661,plain,
sK2 != sK2,
inference(superposition,[],[f719,f4656]) ).
fof(f4688,plain,
$false,
inference(trivial_inequality_removal,[],[f4661]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO344+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n009.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 08:09:15 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.98/0.59 % (1712567)Will run a generic schedule for satisfiability detection.
% 0.98/0.59 % (1712576)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1084425387:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.98/0.59 % (1712573)% WARNING: option uhcvi not known.
% 0.98/0.59 % (1712572)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=293664130_2999 on theBenchmark for (2999ds/0Mi)
% 0.98/0.59 % (1712573)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2480497821:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.98/0.59 % (1712574)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1652889813:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.98/0.59 % (1712575)dis+10_1_sil=32000:sp=arity:random_seed=482050194:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.98/0.59 % (1712578)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1816773382:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.98/0.59 % (1712577)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3437220914:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.98/0.59 % (1712576)Instruction limit reached!
% 0.98/0.59 % (1712576)------------------------------
% 0.98/0.59 % (1712576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.59 % (1712576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.59 % (1712576)CaDiCaL version: 2.1.3
% 0.98/0.59 % (1712576)Termination reason: Instruction limit
% 0.98/0.59 % (1712576)Termination phase: Saturation
% 0.98/0.59 % (1712576)Time elapsed: 0.033 s
% 0.98/0.59 % (1712576)Peak memory usage: 13 MB
% 0.98/0.59 % (1712576)Instructions burned: 119 (million)
% 0.98/0.59 % (1712586)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4045937643:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.98/0.59 % Detected minimum model sizes of [3]
% 0.98/0.59 % Detected maximum model sizes of [max]
% 0.98/0.59 % (1712572)Cannot represent all propositional literals internally
% 0.98/0.59 % (1712572)Refutation not found, incomplete strategy
% 0.98/0.59 % (1712572)------------------------------
% 0.98/0.59 % (1712572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.59 % (1712572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.59 % (1712572)CaDiCaL version: 2.1.3
% 0.98/0.59 % (1712572)Termination reason: Refutation not found, incomplete strategy
% 0.98/0.59 % (1712572)Time elapsed: 0.041 s
% 0.98/0.59 % (1712572)Peak memory usage: 12 MB
% 0.98/0.59 % (1712572)Instructions burned: 84 (million)
% 0.98/0.59 % (1712572)------------------------------
% 0.98/0.59 % (1712572)------------------------------
% 0.98/0.59 % Detected minimum model sizes of [3]
% 0.98/0.59 % Detected maximum model sizes of [max]
% 0.98/0.59 % (1712586)Cannot represent all propositional literals internally
% 0.98/0.59 % (1712586)Refutation not found, incomplete strategy
% 0.98/0.59 % (1712586)------------------------------
% 0.98/0.59 % (1712586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.59 % (1712586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.59 % (1712586)CaDiCaL version: 2.1.3
% 0.98/0.59 % (1712586)Termination reason: Refutation not found, incomplete strategy
% 0.98/0.59 % (1712586)Time elapsed: 0.016 s
% 0.98/0.59 % (1712586)Peak memory usage: 12 MB
% 0.98/0.59 % (1712586)Instructions burned: 61 (million)
% 0.98/0.59 % (1712586)------------------------------
% 0.98/0.59 % (1712586)------------------------------
% 0.98/0.59 % (1712575)Instruction limit reached!
% 0.98/0.59 % (1712575)------------------------------
% 0.98/0.59 % (1712575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.59 % (1712575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.59 % (1712575)CaDiCaL version: 2.1.3
% 0.98/0.59 % (1712575)Termination reason: Instruction limit
% 0.98/0.59 % (1712575)Termination phase: Saturation
% 0.98/0.59 % (1712575)Time elapsed: 0.057 s
% 0.98/0.59 % (1712575)Peak memory usage: 13 MB
% 0.98/0.59 % (1712575)Instructions burned: 104 (million)
% 0.98/0.59 % (1712588)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1231925552:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.98/0.59 % (1712577)Instruction limit reached!
% 0.98/0.59 % (1712577)------------------------------
% 0.98/0.59 % (1712577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.59 % (1712577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.59 % (1712577)CaDiCaL version: 2.1.3
% 0.98/0.59 % (1712577)Termination reason: Instruction limit
% 0.98/0.59 % (1712577)Termination phase: Saturation
% 0.98/0.59 % (1712577)Time elapsed: 0.064 s
% 0.98/0.59 % (1712577)Peak memory usage: 13 MB
% 0.98/0.59 % (1712577)Instructions burned: 133 (million)
% 0.98/0.59 % (1712589)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=106592269:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.98/0.59 % (1712590)ott-21_1_sil=16000:fs=off:random_seed=2993860854:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.98/0.59 % (1712592)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4239743126:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.98/0.59 % (1712578)Instruction limit reached!
% 0.98/0.59 % (1712578)------------------------------
% 0.98/0.59 % (1712578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.59 % (1712578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.59 % (1712578)CaDiCaL version: 2.1.3
% 0.98/0.59 % (1712578)Termination reason: Instruction limit
% 0.98/0.59 % (1712578)Termination phase: Saturation
% 0.98/0.59 % (1712578)Time elapsed: 0.095 s
% 0.98/0.59 % (1712578)Peak memory usage: 16 MB
% 0.98/0.59 % (1712578)Instructions burned: 160 (million)
% 0.98/0.59 % (1712596)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2208782243:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.98/0.59 % (1712588)Instruction limit reached!
% 0.98/0.59 % (1712588)------------------------------
% 0.98/0.59 % (1712588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.59 % (1712588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.59 % (1712588)CaDiCaL version: 2.1.3
% 0.98/0.59 % (1712588)Termination reason: Instruction limit
% 0.98/0.59 % (1712588)Termination phase: Saturation
% 0.98/0.59 % (1712588)Time elapsed: 0.056 s
% 0.98/0.59 % (1712588)Peak memory usage: 13 MB
% 0.98/0.59 % (1712588)Instructions burned: 133 (million)
% 0.98/0.59 % (1712590) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1712567-1712590"...
% 0.98/0.59 % (1712590)...printing done.
% 0.98/0.59 % (1712590)Refutation found. Thanks to Tanya!
% 0.98/0.59 % SZS status Theorem for theBenchmark
% 0.98/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.98/0.59 % (1712590)------------------------------
% 0.98/0.59 % (1712590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.98/0.59 % (1712590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.98/0.59 % (1712590)CaDiCaL version: 2.1.3
% 0.98/0.59 % (1712590)Termination reason: Refutation
% 0.98/0.59 % (1712590)Time elapsed: 0.054 s
% 0.98/0.59 % (1712590)Peak memory usage: 13 MB
% 0.98/0.59 % (1712590)Instructions burned: 100 (million)
% 0.98/0.59 % (1712567)Success in time 0.178 s
% 0.98/0.59 % Vampire exiting
%------------------------------------------------------------------------------