%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP093-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 10:16:38 AM UTC 2026
% Result : Unsatisfiable 0.36s 0.55s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 9
% Syntax : Number of formulae : 85 ( 60 unt; 4 def)
% Number of atoms : 120 ( 78 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 67 ( 32 ~; 31 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 110 ( 0 sgn 110 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,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))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f6,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))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
( divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1))
| a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2))
| divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| divide(a4,divide(identity,b4)) != divide(b4,divide(identity,a4)) ),
inference(definition_unfolding,[],[f6,f2,f3,f2,f3,f2,f2,f3,f2,f2,f2,f2,f2,f2]) ).
fof(f9,definition,
( spl0_1
<=> divide(a4,divide(identity,b4)) = divide(b4,divide(identity,a4)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f11,plain,
( divide(a4,divide(identity,b4)) != divide(b4,divide(identity,a4))
| spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f13,definition,
( spl0_2
<=> divide(divide(a3,divide(identity,b3)),divide(identity,c3)) = divide(a3,divide(identity,divide(b3,divide(identity,c3)))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f15,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3))))
| spl0_2 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f17,definition,
( spl0_3
<=> a2 = divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f19,plain,
( a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2))
| spl0_3 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f21,definition,
( spl0_4
<=> divide(divide(identity,a1),divide(identity,a1)) = divide(divide(identity,b1),divide(identity,b1)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f23,plain,
( divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1))
| spl0_4 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f24,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f7,f21,f17,f13,f9]) ).
fof(f25,plain,
! [X0,X1] : divide(divide(identity,divide(divide(identity,X1),X0)),X1) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f27,plain,
! [X2,X0,X1] : divide(divide(divide(X1,X0),X2),X1) = divide(divide(identity,divide(X0,identity)),X2),
inference(superposition,[],[f1,f1]) ).
fof(f28,plain,
! [X0,X1] : divide(divide(identity,divide(identity,X0)),divide(X0,X1)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f29,plain,
! [X2,X1] : divide(divide(identity,divide(divide(identity,divide(X1,identity)),X2)),X2) = X1,
inference(backward_demodulation,[],[f1,f27]) ).
fof(f31,plain,
! [X0] : identity = divide(divide(identity,divide(divide(identity,identity),X0)),X0),
inference(superposition,[],[f29,f4]) ).
fof(f32,plain,
! [X0,X1] : divide(identity,divide(divide(identity,divide(X0,identity)),identity)) = divide(divide(identity,divide(divide(identity,X0),X1)),X1),
inference(superposition,[],[f29,f29]) ).
fof(f33,plain,
! [X0] : divide(identity,divide(X0,identity)) = divide(divide(identity,X0),identity),
inference(superposition,[],[f29,f29]) ).
fof(f34,plain,
! [X0] : divide(divide(identity,identity),divide(identity,divide(X0,identity))) = X0,
inference(superposition,[],[f29,f4]) ).
fof(f35,plain,
! [X0] : divide(identity,divide(identity,divide(X0,identity))) = X0,
inference(forward_demodulation,[],[f34,f4]) ).
fof(f36,plain,
! [X0,X1] : divide(divide(identity,divide(divide(identity,X0),X1)),X1) = divide(identity,divide(identity,divide(divide(X0,identity),identity))),
inference(forward_demodulation,[],[f32,f33]) ).
fof(f37,plain,
! [X0] : identity = divide(divide(identity,divide(identity,X0)),X0),
inference(forward_demodulation,[],[f31,f4]) ).
fof(f38,plain,
! [X0,X1] : divide(X0,identity) = divide(divide(identity,divide(divide(identity,X0),X1)),X1),
inference(forward_demodulation,[],[f36,f35]) ).
fof(f39,plain,
! [X1] : divide(divide(X1,identity),identity) = X1,
inference(backward_demodulation,[],[f29,f38]) ).
fof(f42,plain,
! [X0] : divide(X0,identity) = divide(identity,divide(identity,X0)),
inference(superposition,[],[f35,f39]) ).
fof(f43,plain,
! [X0] : identity = divide(divide(X0,identity),X0),
inference(backward_demodulation,[],[f37,f42]) ).
fof(f44,plain,
! [X0,X1] : divide(divide(X0,identity),divide(X0,X1)) = X1,
inference(backward_demodulation,[],[f28,f42]) ).
fof(f52,plain,
! [X0,X1] : divide(X0,divide(divide(X0,identity),X1)) = X1,
inference(superposition,[],[f44,f39]) ).
fof(f56,plain,
! [X0] : divide(divide(divide(X0,identity),identity),identity) = X0,
inference(superposition,[],[f44,f43]) ).
fof(f58,plain,
! [X0] : divide(X0,identity) = X0,
inference(forward_demodulation,[],[f56,f39]) ).
fof(f61,plain,
! [X2,X0,X1] : divide(divide(divide(X1,X0),X2),X1) = divide(divide(identity,X0),X2),
inference(backward_demodulation,[],[f27,f58]) ).
fof(f64,plain,
! [X0,X1] : divide(divide(identity,divide(divide(identity,X0),X1)),X1) = X0,
inference(backward_demodulation,[],[f38,f58]) ).
fof(f69,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(backward_demodulation,[],[f52,f58]) ).
fof(f86,plain,
! [X0,X1] : divide(divide(identity,X1),X0) = divide(divide(identity,X0),X1),
inference(superposition,[],[f25,f69]) ).
fof(f133,plain,
! [X2,X0,X1] : divide(divide(identity,divide(X1,X0)),X2) = divide(divide(X0,X2),X1),
inference(superposition,[],[f61,f69]) ).
fof(f135,plain,
! [X2,X0,X1] : divide(divide(identity,X1),X2) = divide(divide(X0,X2),divide(identity,divide(divide(identity,X0),X1))),
inference(superposition,[],[f61,f64]) ).
fof(f141,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = divide(divide(identity,X1),identity),
inference(superposition,[],[f61,f58]) ).
fof(f144,plain,
! [X0,X1] : divide(identity,X1) = divide(divide(X0,X1),X0),
inference(forward_demodulation,[],[f141,f58]) ).
fof(f146,plain,
! [X0,X1] : divide(divide(X0,X1),divide(identity,X1)) = X0,
inference(backward_demodulation,[],[f25,f133]) ).
fof(f155,plain,
! [X2,X0,X1] : divide(divide(X2,X0),X1) = divide(divide(divide(identity,X0),X1),divide(identity,X2)),
inference(superposition,[],[f146,f61]) ).
fof(f163,plain,
! [X2,X0,X1] : divide(divide(identity,divide(identity,X1)),X2) = divide(divide(X0,X2),divide(X0,X1)),
inference(superposition,[],[f61,f146]) ).
fof(f165,plain,
! [X2,X0,X1] : divide(divide(X0,X2),divide(X0,X1)) = divide(divide(X1,X2),identity),
inference(forward_demodulation,[],[f163,f133]) ).
fof(f170,plain,
! [X2,X0,X1] : divide(X1,X2) = divide(divide(X0,X2),divide(X0,X1)),
inference(forward_demodulation,[],[f165,f58]) ).
fof(f171,plain,
! [X0,X1] : divide(X0,X1) = divide(identity,divide(X1,X0)),
inference(superposition,[],[f170,f4]) ).
fof(f173,plain,
! [X2,X0,X1] : divide(X1,divide(X2,X0)) = divide(X0,divide(X2,X1)),
inference(superposition,[],[f170,f69]) ).
fof(f175,plain,
! [X2,X0,X1] : divide(X1,divide(identity,X2)) = divide(X0,divide(divide(X0,X2),X1)),
inference(superposition,[],[f170,f146]) ).
fof(f186,plain,
! [X2,X0,X1] : divide(divide(X0,X1),X2) = divide(divide(identity,X1),divide(X2,X0)),
inference(superposition,[],[f61,f170]) ).
fof(f198,plain,
! [X2,X0,X1] : divide(divide(identity,X1),X2) = divide(divide(X0,X2),divide(X1,divide(identity,X0))),
inference(backward_demodulation,[],[f135,f175]) ).
fof(f216,plain,
! [X2,X0,X1] : divide(identity,divide(X2,X0)) = divide(divide(X0,X1),divide(X2,X1)),
inference(superposition,[],[f144,f170]) ).
fof(f224,plain,
! [X2,X0,X1] : divide(identity,divide(X2,X0)) = divide(X1,divide(X2,divide(X0,X1))),
inference(forward_demodulation,[],[f216,f173]) ).
fof(f229,plain,
! [X2,X0,X1] : divide(X0,X2) = divide(X1,divide(X2,divide(X0,X1))),
inference(forward_demodulation,[],[f224,f171]) ).
fof(f235,plain,
! [X2,X0,X1] : divide(divide(X2,X1),divide(identity,X0)) = divide(divide(X0,X1),divide(identity,X2)),
inference(superposition,[],[f155,f170]) ).
fof(f317,plain,
! [X2,X0,X1] : divide(divide(identity,X1),divide(X2,X0)) = divide(X0,divide(X1,divide(identity,X2))),
inference(superposition,[],[f198,f69]) ).
fof(f381,plain,
! [X2,X0,X1] : divide(divide(X0,X1),X2) = divide(X0,divide(X1,divide(identity,X2))),
inference(forward_demodulation,[],[f317,f186]) ).
fof(f434,plain,
! [X2,X0,X1] : divide(X2,divide(X1,X0)) = divide(divide(X0,X1),divide(identity,X2)),
inference(superposition,[],[f170,f171]) ).
fof(f438,plain,
! [X2,X0,X1] : divide(X0,divide(X1,X2)) = divide(divide(X0,X1),divide(identity,X2)),
inference(backward_demodulation,[],[f235,f434]) ).
fof(f624,plain,
! [X2,X0,X1] : divide(X2,divide(divide(identity,X0),X1)) = divide(X0,divide(divide(identity,X1),X2)),
inference(superposition,[],[f173,f86]) ).
fof(f655,plain,
( divide(a4,divide(identity,b4)) != divide(a4,divide(identity,b4))
| spl0_1 ),
inference(superposition,[],[f11,f173]) ).
fof(f679,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f655]) ).
fof(f680,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f679]) ).
fof(f759,plain,
( divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(divide(identity,b3),c3))
| spl0_2 ),
inference(forward_demodulation,[],[f15,f381]) ).
fof(f760,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f759,f438]) ).
fof(f761,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f760]) ).
fof(f763,plain,
( a2 != divide(a2,divide(identity,divide(divide(identity,b2),divide(identity,b2))))
| spl0_3 ),
inference(forward_demodulation,[],[f19,f173]) ).
fof(f764,plain,
( a2 != divide(a2,divide(divide(identity,b2),divide(identity,b2)))
| spl0_3 ),
inference(forward_demodulation,[],[f763,f175]) ).
fof(f765,plain,
( a2 != divide(b2,divide(divide(identity,divide(identity,b2)),a2))
| spl0_3 ),
inference(forward_demodulation,[],[f764,f624]) ).
fof(f766,plain,
( a2 != divide(b2,divide(divide(identity,a2),divide(identity,b2)))
| spl0_3 ),
inference(forward_demodulation,[],[f765,f86]) ).
fof(f767,plain,
( a2 != divide(identity,divide(identity,a2))
| spl0_3 ),
inference(forward_demodulation,[],[f766,f229]) ).
fof(f768,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f767,f69]) ).
fof(f769,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f768]) ).
fof(f771,plain,
( identity != divide(divide(identity,a1),divide(identity,a1))
| spl0_4 ),
inference(forward_demodulation,[],[f23,f4]) ).
fof(f773,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f771,f4]) ).
fof(f774,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f773]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f24]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f680]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f761]) ).
cnf(s5,plain,
spl0_3,
inference(sat_conversion,[],[f769]) ).
cnf(s6,plain,
spl0_4,
inference(sat_conversion,[],[f774]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s5,s4,s3]) ).
fof(f778,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP093-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:14:34 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.36/0.55 % (2278517)Will run a generic schedule for satisfiability detection.
% 0.36/0.55 % (2278523)% WARNING: option uhcvi not known.
% 0.36/0.55 % (2278523)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1465959061:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.36/0.55 % (2278525)dis+10_1_sil=32000:sp=arity:random_seed=3641188388:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.36/0.55 % (2278527)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2829470982:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.36/0.55 % (2278522)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3095334043_2999 on theBenchmark for (2999ds/0Mi)
% 0.36/0.55 % (2278524)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4009778265:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.36/0.55 % (2278526)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=103059412:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.36/0.55 % (2278528)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=539709161:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.36/0.55 % TRYING [1]
% 0.36/0.55 % TRYING [2]
% 0.36/0.55 % TRYING [3]
% 0.36/0.55 % TRYING [4]
% 0.36/0.55 % TRYING [5]
% 0.36/0.55 % (2278525)Instruction limit reached!
% 0.36/0.55 % (2278525)------------------------------
% 0.36/0.55 % (2278525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.55 % (2278525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.55 % (2278525)CaDiCaL version: 2.1.3
% 0.36/0.55 % (2278525)Termination reason: Instruction limit
% 0.36/0.55 % (2278525)Termination phase: Saturation
% 0.36/0.55 % (2278525)Time elapsed: 0.056 s
% 0.36/0.55 % (2278525)Peak memory usage: 12 MB
% 0.36/0.55 % (2278525)Instructions burned: 104 (million)
% 0.36/0.55 % (2278526)Instruction limit reached!
% 0.36/0.55 % (2278526)------------------------------
% 0.36/0.55 % (2278526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.55 % (2278526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.55 % (2278526)CaDiCaL version: 2.1.3
% 0.36/0.55 % (2278526)Termination reason: Instruction limit
% 0.36/0.55 % (2278526)Termination phase: Saturation
% 0.36/0.55 % (2278526)Time elapsed: 0.067 s
% 0.36/0.55 % (2278526)Peak memory usage: 12 MB
% 0.36/0.55 % (2278526)Instructions burned: 116 (million)
% 0.36/0.55 % (2278536)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2521809100:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.36/0.55 % TRYING [1]
% 0.36/0.55 % (2278527)Instruction limit reached!
% 0.36/0.55 % (2278527)------------------------------
% 0.36/0.55 % (2278527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.55 % TRYING [2]
% 0.36/0.55 % (2278527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.55 % (2278527)CaDiCaL version: 2.1.3
% 0.36/0.55 % (2278527)Termination reason: Instruction limit
% 0.36/0.55 % (2278527)Termination phase: Saturation
% 0.36/0.55 % (2278527)Time elapsed: 0.078 s
% 0.36/0.55 % (2278527)Peak memory usage: 12 MB
% 0.36/0.55 % (2278527)Instructions burned: 132 (million)
% 0.36/0.55 % TRYING [3]
% 0.36/0.55 % TRYING [4]
% 0.36/0.55 % (2278537)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2287153368:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.36/0.55 % (2278539)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=3801976345:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.36/0.55 % (2278528)Instruction limit reached!
% 0.36/0.55 % (2278528)------------------------------
% 0.36/0.55 % (2278528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.55 % (2278528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.55 % (2278528)CaDiCaL version: 2.1.3
% 0.36/0.55 % (2278528)Termination reason: Instruction limit
% 0.36/0.55 % (2278528)Termination phase: Saturation
% 0.36/0.55 % (2278528)Time elapsed: 0.100 s
% 0.36/0.55 % (2278528)Peak memory usage: 12 MB
% 0.36/0.55 % (2278528)Instructions burned: 160 (million)
% 0.36/0.55 % TRYING [6]
% 0.36/0.55 % (2278537) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2278517-2278537"...
% 0.36/0.55 % (2278537)...printing done.
% 0.36/0.55 % (2278537)Refutation found. Thanks to Tanya!
% 0.36/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.36/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.36/0.55 % (2278537)------------------------------
% 0.36/0.55 % (2278537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.55 % (2278537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.55 % (2278537)CaDiCaL version: 2.1.3
% 0.36/0.55 % (2278537)Termination reason: Refutation
% 0.36/0.55 % (2278537)Time elapsed: 0.022 s
% 0.36/0.55 % (2278537)Peak memory usage: 12 MB
% 0.36/0.55 % (2278537)Instructions burned: 34 (million)
% 0.36/0.55 % (2278517)Success in time 0.147 s
% 0.36/0.55 % Vampire exiting
%------------------------------------------------------------------------------