%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO343+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 : n006.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 0.95s 0.63s
% Output : Refutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of formulae : 45 ( 20 unt; 0 def)
% Number of atoms : 217 ( 82 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 290 ( 118 ~; 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 : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 64 ( 55 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ron(vd1399,X0)
& ron(vd1401,X0)
& rline(X0) )
=> X0 = vd1416 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(theu(the(408), 1), imp(the(408)))') ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ron(vd1399,X0)
& ron(vd1401,X0)
& rline(X0) )
=> X0 = vd1416 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( ron(vd1399,vd1416)
& ron(vd1401,vd1416)
& rline(vd1416) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))') ).
fof(f5,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(f50,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(f131,plain,
? [X0] :
( vd1416 != X0
& ron(vd1399,X0)
& ron(vd1401,X0)
& rline(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f132,plain,
? [X0] :
( vd1416 != X0
& ron(vd1399,X0)
& ron(vd1401,X0)
& rline(X0) ),
inference(flattening,[],[f131]) ).
fof(f211,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,[],[f50]) ).
fof(f212,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,[],[f211]) ).
fof(f351,plain,
( vd1416 != sK1
& ron(vd1399,sK1)
& ron(vd1401,sK1)
& rline(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f132]) ).
fof(f352,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)],[f5]) ).
fof(f430,plain,
rline(sK1),
inference(cnf_transformation,[],[f351]) ).
fof(f431,plain,
ron(vd1401,sK1),
inference(cnf_transformation,[],[f351]) ).
fof(f432,plain,
ron(vd1399,sK1),
inference(cnf_transformation,[],[f351]) ).
fof(f433,plain,
vd1416 != sK1,
inference(cnf_transformation,[],[f351]) ).
fof(f434,plain,
rline(vd1416),
inference(cnf_transformation,[],[f3]) ).
fof(f435,plain,
ron(vd1401,vd1416),
inference(cnf_transformation,[],[f3]) ).
fof(f436,plain,
ron(vd1399,vd1416),
inference(cnf_transformation,[],[f3]) ).
fof(f438,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f352]) ).
fof(f439,plain,
vd1399 = sK4,
inference(cnf_transformation,[],[f352]) ).
fof(f442,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f352]) ).
fof(f443,plain,
vd1401 = sK2,
inference(cnf_transformation,[],[f352]) ).
fof(f445,plain,
vd1399 != vd1401,
inference(cnf_transformation,[],[f352]) ).
fof(f539,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,[],[f212]) ).
fof(f704,plain,
ron(sK4,sK1),
inference(definition_unfolding,[],[f432,f439]) ).
fof(f705,plain,
ron(sK2,sK1),
inference(definition_unfolding,[],[f431,f443]) ).
fof(f706,plain,
ron(sK4,vd1416),
inference(definition_unfolding,[],[f436,f439]) ).
fof(f707,plain,
ron(sK2,vd1416),
inference(definition_unfolding,[],[f435,f443]) ).
fof(f712,plain,
sK2 != sK4,
inference(definition_unfolding,[],[f445,f439,f443]) ).
fof(f996,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,[],[f539]) ).
fof(f997,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,[],[f996]) ).
fof(f998,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,[],[f997]) ).
fof(f999,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,[],[f998]) ).
fof(f4061,plain,
! [X0,X1] :
( ~ ron(sK4,X0)
| ~ ron(X1,sK1)
| ~ ron(X1,X0)
| sK1 = X0
| ~ rline(sK1)
| ~ rline(X0)
| sK4 = X1
| ~ rpoint(sK4)
| ~ rpoint(X1) ),
inference(resolution,[],[f999,f704]) ).
fof(f4256,plain,
! [X0] :
( ~ ron(X0,sK1)
| ~ ron(X0,vd1416)
| vd1416 = sK1
| ~ rline(sK1)
| ~ rline(vd1416)
| sK4 = X0
| ~ rpoint(sK4)
| ~ rpoint(X0) ),
inference(resolution,[],[f4061,f706]) ).
fof(f4405,plain,
( ~ ron(sK2,vd1416)
| vd1416 = sK1
| ~ rline(sK1)
| ~ rline(vd1416)
| sK2 = sK4
| ~ rpoint(sK4)
| ~ rpoint(sK2) ),
inference(resolution,[],[f4256,f705]) ).
fof(f4447,plain,
( ~ rline(sK1)
| vd1416 = sK1
| ~ rline(vd1416)
| sK2 = sK4
| ~ rpoint(sK4)
| ~ rpoint(sK2) ),
inference(resolution,[],[f4405,f707]) ).
fof(f4458,plain,
( ~ rline(vd1416)
| vd1416 = sK1
| sK2 = sK4
| ~ rpoint(sK4)
| ~ rpoint(sK2) ),
inference(resolution,[],[f4447,f430]) ).
fof(f4459,plain,
( ~ rpoint(sK4)
| sK2 = sK4
| vd1416 = sK1
| ~ rpoint(sK2) ),
inference(resolution,[],[f4458,f434]) ).
fof(f4622,plain,
( ~ rpoint(sK2)
| vd1416 = sK1
| sK2 = sK4 ),
inference(resolution,[],[f4459,f438]) ).
fof(f4623,plain,
( vd1416 = sK1
| sK2 = sK4 ),
inference(resolution,[],[f4622,f442]) ).
fof(f4641,plain,
( vd1416 != vd1416
| sK2 = sK4 ),
inference(superposition,[],[f433,f4623]) ).
fof(f4652,plain,
sK2 = sK4,
inference(trivial_inequality_removal,[],[f4641]) ).
fof(f4693,plain,
sK2 != sK2,
inference(superposition,[],[f712,f4652]) ).
fof(f4720,plain,
$false,
inference(trivial_inequality_removal,[],[f4693]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO343+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 % Computer : n006.cluster.edu
% 0.11/0.41 % Model : x86_64 x86_64
% 0.11/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41 % Memory : 8046.5625MB
% 0.11/0.41 % OS : Linux 6.8.0-71-generic
% 0.11/0.41 % CPULimit : 300
% 0.11/0.41 % WCLimit : 300
% 0.11/0.41 % DateTime : Sun Sep 27 08:08:11 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.45 Running first-order model finding
% 0.11/0.45 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
% 0.95/0.63 % (2672483)Will run a generic schedule for satisfiability detection.
% 0.95/0.63 % (2672493)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3117175809:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.95/0.63 % (2672489)% WARNING: option uhcvi not known.
% 0.95/0.63 % (2672488)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1508151040_2999 on theBenchmark for (2999ds/0Mi)
% 0.95/0.63 % (2672489)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1124496510:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.95/0.63 % (2672492)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1760914354:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.95/0.63 % (2672490)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2000528773:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.95/0.63 % (2672491)dis+10_1_sil=32000:sp=arity:random_seed=2390373012:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.95/0.63 % (2672494)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1496242709:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.95/0.63 % (2672493)Instruction limit reached!
% 0.95/0.63 % (2672493)------------------------------
% 0.95/0.63 % (2672493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.63 % (2672493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.63 % (2672493)CaDiCaL version: 2.1.3
% 0.95/0.63 % (2672493)Termination reason: Instruction limit
% 0.95/0.63 % (2672493)Termination phase: Saturation
% 0.95/0.63 % (2672493)Time elapsed: 0.035 s
% 0.95/0.63 % (2672493)Peak memory usage: 13 MB
% 0.95/0.63 % (2672493)Instructions burned: 133 (million)
% 0.95/0.63 % (2672502)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2872302018:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.95/0.63 % Detected minimum model sizes of [3]
% 0.95/0.63 % Detected maximum model sizes of [max]
% 0.95/0.63 % (2672488)Cannot represent all propositional literals internally
% 0.95/0.63 % (2672488)Refutation not found, incomplete strategy
% 0.95/0.63 % (2672488)------------------------------
% 0.95/0.63 % (2672488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.63 % (2672488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.63 % (2672488)CaDiCaL version: 2.1.3
% 0.95/0.63 % (2672488)Termination reason: Refutation not found, incomplete strategy
% 0.95/0.63 % (2672488)Time elapsed: 0.041 s
% 0.95/0.63 % (2672488)Peak memory usage: 12 MB
% 0.95/0.63 % (2672488)Instructions burned: 84 (million)
% 0.95/0.63 % (2672488)------------------------------
% 0.95/0.63 % (2672488)------------------------------
% 0.95/0.63 % Detected minimum model sizes of [3]
% 0.95/0.63 % Detected maximum model sizes of [max]
% 0.95/0.63 % (2672491)Instruction limit reached!
% 0.95/0.63 % (2672491)------------------------------
% 0.95/0.63 % (2672491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.63 % (2672502)Cannot represent all propositional literals internally
% 0.95/0.63 % (2672502)Refutation not found, incomplete strategy
% 0.95/0.63 % (2672502)------------------------------
% 0.95/0.63 % (2672502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.63 % (2672491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.63 % (2672502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.63 % (2672491)CaDiCaL version: 2.1.3
% 0.95/0.63 % (2672491)Termination reason: Instruction limit
% 0.95/0.63 % (2672491)Termination phase: Saturation
% 0.95/0.63 % (2672491)Time elapsed: 0.057 s
% 0.95/0.63 % (2672491)Peak memory usage: 13 MB
% 0.95/0.63 % (2672491)Instructions burned: 105 (million)
% 0.95/0.63 % (2672502)CaDiCaL version: 2.1.3
% 0.95/0.63 % (2672502)Termination reason: Refutation not found, incomplete strategy
% 0.95/0.63 % (2672502)Time elapsed: 0.016 s
% 0.95/0.63 % (2672502)Peak memory usage: 12 MB
% 0.95/0.63 % (2672502)Instructions burned: 61 (million)
% 0.95/0.63 % (2672502)------------------------------
% 0.95/0.63 % (2672502)------------------------------
% 0.95/0.63 % (2672492)Instruction limit reached!
% 0.95/0.63 % (2672492)------------------------------
% 0.95/0.63 % (2672492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.63 % (2672492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.63 % (2672492)CaDiCaL version: 2.1.3
% 0.95/0.63 % (2672492)Termination reason: Instruction limit
% 0.95/0.63 % (2672492)Termination phase: Saturation
% 0.95/0.63 % (2672492)Time elapsed: 0.059 s
% 0.95/0.63 % (2672492)Peak memory usage: 13 MB
% 0.95/0.63 % (2672492)Instructions burned: 118 (million)
% 0.95/0.63 % (2672504)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3750003138:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.95/0.63 % (2672505)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=707302089:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.95/0.63 % (2672506)ott-21_1_sil=16000:fs=off:random_seed=1473802522:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.95/0.63 % (2672507)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3672180717:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.95/0.63 % (2672494)Instruction limit reached!
% 0.95/0.63 % (2672494)------------------------------
% 0.95/0.63 % (2672494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.63 % (2672494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.63 % (2672494)CaDiCaL version: 2.1.3
% 0.95/0.63 % (2672494)Termination reason: Instruction limit
% 0.95/0.63 % (2672494)Termination phase: Saturation
% 0.95/0.63 % (2672494)Time elapsed: 0.094 s
% 0.95/0.63 % (2672494)Peak memory usage: 15 MB
% 0.95/0.63 % (2672494)Instructions burned: 160 (million)
% 0.95/0.63 % (2672512)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2334884075:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.95/0.63 % (2672504)Instruction limit reached!
% 0.95/0.63 % (2672504)------------------------------
% 0.95/0.63 % (2672504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.63 % (2672504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.63 % (2672504)CaDiCaL version: 2.1.3
% 0.95/0.63 % (2672504)Termination reason: Instruction limit
% 0.95/0.63 % (2672504)Termination phase: Saturation
% 0.95/0.63 % (2672504)Time elapsed: 0.057 s
% 0.95/0.63 % (2672504)Peak memory usage: 13 MB
% 0.95/0.63 % (2672504)Instructions burned: 133 (million)
% 0.95/0.63 % (2672506) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2672483-2672506"...
% 0.95/0.63 % (2672506)...printing done.
% 0.95/0.63 % (2672506)Refutation found. Thanks to Tanya!
% 0.95/0.63 % SZS status Theorem for theBenchmark
% 0.95/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 0.95/0.64 % (2672506)------------------------------
% 0.95/0.64 % (2672506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.64 % (2672506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.64 % (2672506)CaDiCaL version: 2.1.3
% 0.95/0.64 % (2672506)Termination reason: Refutation
% 0.95/0.64 % (2672506)Time elapsed: 0.052 s
% 0.95/0.64 % (2672506)Peak memory usage: 13 MB
% 0.95/0.64 % (2672506)Instructions burned: 100 (million)
% 0.95/0.64 % (2672483)Success in time 0.177 s
% 0.95/0.64 % Vampire exiting
%------------------------------------------------------------------------------