%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP063-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 10:16:34 AM UTC 2026
% Result : Unsatisfiable 0.62s 0.56s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 7
% Syntax : Number of formulae : 84 ( 70 unt; 3 def)
% Number of atoms : 102 ( 75 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 143 ( 0 sgn 143 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f5,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(reorient_equations,[],[f4]) ).
fof(f7,definition,
( spl0_1
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f9,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(avatar_component_clause,[],[f7]) ).
fof(f11,definition,
( spl0_2
<=> a2 = multiply(multiply(inverse(b2),b2),a2) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f13,plain,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| spl0_2 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f15,definition,
( spl0_3
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f17,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_3 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f18,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f5,f15,f11,f7]) ).
fof(f19,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f3,f3]) ).
fof(f20,plain,
! [X0,X1] : inverse(X1) = divide(inverse(inverse(divide(X0,X0))),X1),
inference(superposition,[],[f19,f3]) ).
fof(f28,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f29,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(divide(X1,X1),X0),
inference(superposition,[],[f28,f3]) ).
fof(f30,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(inverse(divide(X1,X1)),X0),
inference(superposition,[],[f28,f19]) ).
fof(f40,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(inverse(inverse(inverse(divide(X0,X0)))),X1),
inference(superposition,[],[f29,f20]) ).
fof(f62,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f63,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f62,f3]) ).
fof(f153,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X2),inverse(X1)),multiply(inverse(X0),X1))) = X2,
inference(superposition,[],[f63,f28]) ).
fof(f155,plain,
! [X0,X1] : divide(X0,inverse(divide(inverse(X0),inverse(X1)))) = X1,
inference(superposition,[],[f63,f3]) ).
fof(f164,plain,
! [X2,X0,X1] : inverse(divide(divide(inverse(X0),X1),divide(inverse(divide(X2,X2)),X1))) = X0,
inference(superposition,[],[f3,f63]) ).
fof(f177,plain,
! [X0,X1] : inverse(divide(divide(inverse(X0),X1),inverse(X1))) = X0,
inference(forward_demodulation,[],[f164,f19]) ).
fof(f184,plain,
! [X0,X1] : multiply(X0,divide(inverse(X0),inverse(X1))) = X1,
inference(forward_demodulation,[],[f155,f28]) ).
fof(f185,plain,
! [X2,X0,X1] : divide(X0,divide(multiply(inverse(X2),X1),multiply(inverse(X0),X1))) = X2,
inference(forward_demodulation,[],[f153,f28]) ).
fof(f198,plain,
! [X0,X1] : inverse(multiply(divide(inverse(X0),X1),X1)) = X0,
inference(forward_demodulation,[],[f177,f28]) ).
fof(f205,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f184,f28]) ).
fof(f216,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),X0) = multiply(X1,X0),
inference(superposition,[],[f205,f205]) ).
fof(f223,plain,
! [X0,X1] : inverse(inverse(multiply(inverse(divide(X1,X1)),X0))) = X0,
inference(superposition,[],[f29,f205]) ).
fof(f232,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(forward_demodulation,[],[f223,f30]) ).
fof(f253,plain,
! [X0,X1] : divide(X1,X1) = inverse(multiply(inverse(X0),X0)),
inference(superposition,[],[f198,f19]) ).
fof(f285,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[],[f205,f216]) ).
fof(f342,plain,
! [X0,X1] : divide(X1,X1) = inverse(inverse(inverse(inverse(inverse(divide(X0,X0)))))),
inference(superposition,[],[f253,f40]) ).
fof(f345,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(superposition,[],[f253,f253]) ).
fof(f356,plain,
! [X0,X1] : divide(X1,inverse(multiply(inverse(X0),X0))) = X1,
inference(superposition,[],[f63,f253]) ).
fof(f400,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X0),X0)) = X1,
inference(forward_demodulation,[],[f356,f28]) ).
fof(f406,plain,
! [X0,X1] : divide(X1,X1) = inverse(divide(X0,X0)),
inference(forward_demodulation,[],[f342,f232]) ).
fof(f457,plain,
! [X0,X1] : divide(X1,divide(X0,X0)) = X1,
inference(superposition,[],[f63,f345]) ).
fof(f513,plain,
! [X0,X1] : divide(X1,inverse(divide(X0,X0))) = X1,
inference(superposition,[],[f457,f3]) ).
fof(f546,plain,
! [X0,X1] : divide(X1,divide(inverse(X0),inverse(X1))) = X0,
inference(superposition,[],[f63,f457]) ).
fof(f561,plain,
! [X0,X1] : divide(X1,multiply(inverse(X0),X1)) = X0,
inference(forward_demodulation,[],[f546,f28]) ).
fof(f570,plain,
! [X0,X1] : multiply(X1,divide(X0,X0)) = X1,
inference(forward_demodulation,[],[f513,f28]) ).
fof(f610,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(X0,divide(X1,X1)),
inference(superposition,[],[f216,f570]) ).
fof(f611,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f610,f570]) ).
fof(f633,plain,
! [X0,X1] : divide(X1,X0) = multiply(X1,inverse(X0)),
inference(superposition,[],[f28,f611]) ).
fof(f668,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f285,f400]) ).
fof(f790,plain,
! [X2,X0,X1] : multiply(divide(X0,X0),multiply(divide(X1,X1),X2)) = X2,
inference(superposition,[],[f285,f406]) ).
fof(f794,plain,
! [X2,X1] : inverse(inverse(multiply(divide(X1,X1),X2))) = X2,
inference(forward_demodulation,[],[f790,f29]) ).
fof(f838,plain,
! [X2,X1] : multiply(divide(X1,X1),X2) = X2,
inference(forward_demodulation,[],[f794,f611]) ).
fof(f862,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f838,f28]) ).
fof(f1250,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X0,X1)),
inference(superposition,[],[f561,f216]) ).
fof(f1253,plain,
! [X0,X1] : divide(multiply(X1,X0),X0) = X1,
inference(superposition,[],[f561,f285]) ).
fof(f1840,plain,
! [X0,X1] : inverse(X0) = divide(inverse(X1),divide(X0,X1)),
inference(superposition,[],[f1250,f633]) ).
fof(f1841,plain,
! [X0,X1] : divide(divide(X0,X1),inverse(X1)) = X0,
inference(superposition,[],[f1253,f633]) ).
fof(f1886,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f1841,f28]) ).
fof(f1931,plain,
! [X0,X1] : divide(X1,X0) = inverse(divide(X0,X1)),
inference(superposition,[],[f1250,f1886]) ).
fof(f1982,plain,
! [X2,X0,X1] : multiply(X2,divide(X1,X0)) = divide(X2,divide(X0,X1)),
inference(superposition,[],[f28,f1931]) ).
fof(f2479,plain,
! [X0,X1] : divide(inverse(X1),X0) = inverse(multiply(X0,X1)),
inference(superposition,[],[f1840,f1253]) ).
fof(f3024,plain,
! [X2,X0,X1] : divide(X1,divide(X0,multiply(inverse(X1),multiply(inverse(inverse(X2)),X0)))) = X2,
inference(superposition,[],[f185,f205]) ).
fof(f3143,plain,
! [X2,X0,X1] : divide(X1,divide(X0,multiply(inverse(X1),multiply(X2,X0)))) = X2,
inference(forward_demodulation,[],[f3024,f216]) ).
fof(f4199,plain,
! [X2,X0,X1] : inverse(multiply(X0,divide(X2,multiply(inverse(inverse(X1)),multiply(X0,X2))))) = X1,
inference(superposition,[],[f198,f3143]) ).
fof(f4216,plain,
! [X2,X0,X1] : divide(inverse(divide(X2,multiply(inverse(inverse(X1)),multiply(X0,X2)))),X0) = X1,
inference(forward_demodulation,[],[f4199,f2479]) ).
fof(f4285,plain,
! [X2,X0,X1] : divide(divide(multiply(inverse(inverse(X1)),multiply(X0,X2)),X2),X0) = X1,
inference(forward_demodulation,[],[f4216,f1931]) ).
fof(f4333,plain,
! [X2,X0,X1] : divide(divide(multiply(X1,multiply(X0,X2)),X2),X0) = X1,
inference(forward_demodulation,[],[f4285,f216]) ).
fof(f4433,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,multiply(X1,inverse(X2))),X2),X1) = X0,
inference(superposition,[],[f4333,f28]) ).
fof(f4464,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,divide(X1,X2)),X2),X1) = X0,
inference(forward_demodulation,[],[f4433,f633]) ).
fof(f4516,plain,
! [X2,X0,X1] : divide(multiply(divide(X0,divide(X2,X1)),X2),X1) = X0,
inference(forward_demodulation,[],[f4464,f1982]) ).
fof(f4852,plain,
! [X2,X0,X1] : multiply(multiply(divide(X0,divide(X1,inverse(X2))),X1),X2) = X0,
inference(superposition,[],[f28,f4516]) ).
fof(f4853,plain,
! [X2,X0,X1] : multiply(multiply(divide(X0,multiply(X1,X2)),X1),X2) = X0,
inference(forward_demodulation,[],[f4852,f28]) ).
fof(f4998,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(superposition,[],[f4853,f1253]) ).
fof(f6034,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(superposition,[],[f9,f4998]) ).
fof(f6067,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f6034]) ).
fof(f6068,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f6067]) ).
fof(f6166,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f13,f862]) ).
fof(f6167,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f6166]) ).
fof(f6168,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f17,f668]) ).
fof(f6169,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f6168]) ).
cnf(s6,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f18]) ).
cnf(s1176,plain,
spl0_1,
inference(sat_conversion,[],[f6068]) ).
cnf(s1199,plain,
spl0_2,
inference(sat_conversion,[],[f6167]) ).
cnf(s1200,plain,
spl0_3,
inference(sat_conversion,[],[f6169]) ).
cnf(s1201,plain,
$false,
inference(rat,[],[s6,s1200,s1199,s1176]) ).
fof(f6170,plain,
$false,
inference(avatar_sat_refutation,[],[s1201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP063-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.40 % Computer : n002.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sun Sep 27 09:20:22 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.43 Running first-order model finding
% 0.15/0.43 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
% 0.62/0.56 % (3271394)Will run a generic schedule for satisfiability detection.
% 0.62/0.56 % (3271407)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=133945977:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.62/0.56 % (3271403)% WARNING: option uhcvi not known.
% 0.62/0.56 % (3271402)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1078347801_3000 on theBenchmark for (3000ds/0Mi)
% 0.62/0.56 % (3271404)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2598988808:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.62/0.56 % (3271405)dis+10_1_sil=32000:sp=arity:random_seed=3337048368:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.62/0.56 % (3271403)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2328417886:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.62/0.56 % (3271406)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3061299953:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.62/0.56 % (3271408)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4166482419:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.62/0.56 % TRYING [1]
% 0.62/0.56 % TRYING [2]
% 0.62/0.56 % TRYING [3]
% 0.62/0.56 % TRYING [4]
% 0.62/0.56 % (3271407)Instruction limit reached!
% 0.62/0.56 % (3271407)------------------------------
% 0.62/0.56 % (3271407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.56 % (3271407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.56 % (3271407)CaDiCaL version: 2.1.3
% 0.62/0.56 % (3271407)Termination reason: Instruction limit
% 0.62/0.56 % (3271407)Termination phase: Saturation
% 0.62/0.56 % (3271407)Time elapsed: 0.041 s
% 0.62/0.56 % (3271407)Peak memory usage: 13 MB
% 0.62/0.56 % (3271407)Instructions burned: 132 (million)
% 0.62/0.56 % (3271434)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1107126834:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.62/0.56 % TRYING [1]
% 0.62/0.56 % TRYING [2]
% 0.62/0.56 % TRYING [3]
% 0.62/0.56 % TRYING [4]
% 0.62/0.56 % (3271405)Instruction limit reached!
% 0.62/0.56 % (3271405)------------------------------
% 0.62/0.56 % (3271405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.56 % (3271405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.56 % (3271405)CaDiCaL version: 2.1.3
% 0.62/0.56 % (3271405)Termination reason: Instruction limit
% 0.62/0.56 % (3271405)Termination phase: Saturation
% 0.62/0.56 % (3271405)Time elapsed: 0.058 s
% 0.62/0.56 % (3271405)Peak memory usage: 12 MB
% 0.62/0.56 % (3271405)Instructions burned: 104 (million)
% 0.62/0.56 % (3271406)Instruction limit reached!
% 0.62/0.56 % (3271406)------------------------------
% 0.62/0.56 % (3271406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.56 % (3271406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.56 % (3271406)CaDiCaL version: 2.1.3
% 0.62/0.56 % (3271406)Termination reason: Instruction limit
% 0.62/0.56 % (3271406)Termination phase: Saturation
% 0.62/0.56 % (3271406)Time elapsed: 0.064 s
% 0.62/0.56 % (3271406)Peak memory usage: 12 MB
% 0.62/0.56 % (3271406)Instructions burned: 116 (million)
% 0.62/0.56 % (3271444)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1229920918:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.62/0.56 % (3271445)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=2332753665:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.62/0.56 % (3271404) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3271394-3271404"...
% 0.62/0.56 % (3271404)...printing done.
% 0.62/0.56 % (3271408)Instruction limit reached!
% 0.62/0.56 % (3271408)------------------------------
% 0.62/0.56 % (3271408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.56 % (3271408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.56 % (3271408)CaDiCaL version: 2.1.3
% 0.62/0.56 % (3271408)Termination reason: Instruction limit
% 0.62/0.56 % (3271408)Termination phase: Saturation
% 0.62/0.56 % (3271408)Time elapsed: 0.095 s
% 0.62/0.56 % (3271408)Peak memory usage: 13 MB
% 0.62/0.56 % (3271408)Instructions burned: 160 (million)
% 0.62/0.56 % (3271404)Refutation found. Thanks to Tanya!
% 0.62/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.62/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.56 % (3271404)------------------------------
% 0.62/0.56 % (3271404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.56 % (3271404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.56 % (3271404)CaDiCaL version: 2.1.3
% 0.62/0.56 % (3271404)Termination reason: Refutation
% 0.62/0.56 % (3271404)Time elapsed: 0.095 s
% 0.62/0.56 % (3271404)Peak memory usage: 13 MB
% 0.62/0.56 % (3271404)Instructions burned: 176 (million)
% 0.62/0.56 % (3271394)Success in time 0.118 s
% 0.62/0.56 % Vampire exiting
%------------------------------------------------------------------------------