%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM283-1.005 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 12:18:12 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 7
% Syntax : Number of formulae : 59 ( 44 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 20 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 97 ( 18 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : sum(X0,n0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_0) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,s(X1),s(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add) ).
fof(f3,axiom,
! [X0] : product(s(n0),X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',times1) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X0)
| ~ sum(X0,X1,X2)
| product(s(X3),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',times) ).
fof(f5,axiom,
factorial(n0,s(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',factorial_0) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ factorial(X0,X1)
| ~ product(s(X0),X1,X2)
| factorial(s(X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',factorial) ).
fof(f7,negated_conjecture,
! [X0] : ~ factorial(s(s(s(s(s(n0))))),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_factorial) ).
fof(f8,plain,
! [X0] : sum(X0,s(n0),s(X0)),
inference(resolution,[],[f2,f1]) ).
fof(f9,plain,
! [X0] :
( ~ product(s(n0),s(n0),X0)
| factorial(s(n0),X0) ),
inference(resolution,[],[f6,f5]) ).
fof(f10,plain,
! [X0] : sum(X0,s(s(n0)),s(s(X0))),
inference(resolution,[],[f8,f2]) ).
fof(f11,plain,
! [X0,X1] :
( ~ sum(X0,X0,X1)
| product(s(s(n0)),X0,X1) ),
inference(resolution,[],[f4,f3]) ).
fof(f12,plain,
! [X0] : sum(X0,s(s(s(n0))),s(s(s(X0)))),
inference(resolution,[],[f10,f2]) ).
fof(f13,plain,
factorial(s(n0),s(n0)),
inference(resolution,[],[f9,f3]) ).
fof(f14,plain,
! [X0] :
( ~ product(s(s(n0)),s(n0),X0)
| factorial(s(s(n0)),X0) ),
inference(resolution,[],[f13,f6]) ).
fof(f16,plain,
product(s(s(n0)),s(n0),s(s(n0))),
inference(resolution,[],[f11,f8]) ).
fof(f17,plain,
product(s(s(n0)),s(s(n0)),s(s(s(s(n0))))),
inference(resolution,[],[f11,f10]) ).
fof(f20,plain,
! [X0] : sum(X0,s(s(s(s(n0)))),s(s(s(s(X0))))),
inference(resolution,[],[f12,f2]) ).
fof(f24,plain,
factorial(s(s(n0)),s(s(n0))),
inference(resolution,[],[f14,f16]) ).
fof(f25,plain,
! [X0] :
( ~ product(s(s(s(n0))),s(s(n0)),X0)
| factorial(s(s(s(n0))),X0) ),
inference(resolution,[],[f24,f6]) ).
fof(f26,plain,
! [X0] :
( ~ sum(s(s(s(s(n0)))),s(s(n0)),X0)
| product(s(s(s(n0))),s(s(n0)),X0) ),
inference(resolution,[],[f17,f4]) ).
fof(f27,plain,
! [X0] : sum(X0,s(s(s(s(s(n0))))),s(s(s(s(s(X0)))))),
inference(resolution,[],[f20,f2]) ).
fof(f33,plain,
product(s(s(s(n0))),s(s(n0)),s(s(s(s(s(s(n0))))))),
inference(resolution,[],[f26,f10]) ).
fof(f35,plain,
! [X0] : sum(X0,s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(X0))))))),
inference(resolution,[],[f27,f2]) ).
fof(f39,plain,
factorial(s(s(s(n0))),s(s(s(s(s(s(n0))))))),
inference(resolution,[],[f33,f25]) ).
fof(f41,plain,
! [X0] :
( ~ product(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))),X0)
| factorial(s(s(s(s(n0)))),X0) ),
inference(resolution,[],[f39,f6]) ).
fof(f48,plain,
! [X0] : sum(X0,s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(s(X0)))))))),
inference(resolution,[],[f35,f2]) ).
fof(f49,plain,
product(s(s(n0)),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),
inference(resolution,[],[f35,f11]) ).
fof(f59,plain,
! [X0] : sum(X0,s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(X0))))))))),
inference(resolution,[],[f48,f2]) ).
fof(f69,plain,
! [X0] :
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),s(s(s(s(s(s(n0)))))),X0)
| product(s(s(s(n0))),s(s(s(s(s(s(n0)))))),X0) ),
inference(resolution,[],[f49,f4]) ).
fof(f72,plain,
! [X0] : sum(X0,s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(s(X0)))))))))),
inference(resolution,[],[f59,f2]) ).
fof(f86,plain,
product(s(s(s(n0))),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))),
inference(resolution,[],[f69,f35]) ).
fof(f88,plain,
! [X0] : sum(X0,s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(s(s(X0))))))))))),
inference(resolution,[],[f72,f2]) ).
fof(f97,plain,
! [X0] :
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),s(s(s(s(s(s(n0)))))),X0)
| product(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))),X0) ),
inference(resolution,[],[f86,f4]) ).
fof(f102,plain,
! [X0] : sum(X0,s(s(s(s(s(s(s(s(s(s(s(n0))))))))))),s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))),
inference(resolution,[],[f88,f2]) ).
fof(f116,plain,
product(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))),
inference(resolution,[],[f97,f35]) ).
fof(f119,plain,
! [X0] : sum(X0,s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))),
inference(resolution,[],[f102,f2]) ).
fof(f127,plain,
factorial(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))),
inference(resolution,[],[f116,f41]) ).
fof(f135,plain,
! [X0] : sum(X0,s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))),
inference(resolution,[],[f119,f2]) ).
fof(f143,plain,
! [X0] :
( ~ product(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),X0)
| factorial(s(s(s(s(s(n0))))),X0) ),
inference(resolution,[],[f127,f6]) ).
fof(f144,plain,
! [X0] : ~ product(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),X0),
inference(forward_subsumption_resolution,[],[f143,f7]) ).
fof(f154,plain,
! [X0] : sum(X0,s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))),
inference(resolution,[],[f135,f2]) ).
fof(f169,plain,
! [X0] : sum(X0,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))),
inference(resolution,[],[f154,f2]) ).
fof(f186,plain,
! [X0] : sum(X0,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))),
inference(resolution,[],[f169,f2]) ).
fof(f201,plain,
! [X0] : sum(X0,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))))),
inference(resolution,[],[f186,f2]) ).
fof(f220,plain,
! [X0] : sum(X0,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))))),
inference(resolution,[],[f201,f2]) ).
fof(f241,plain,
! [X0] : sum(X0,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))))))),
inference(resolution,[],[f220,f2]) ).
fof(f256,plain,
! [X0] : sum(X0,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))))))),
inference(resolution,[],[f241,f2]) ).
fof(f277,plain,
! [X0] : sum(X0,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))))))))),
inference(resolution,[],[f256,f2]) ).
fof(f292,plain,
! [X0] : sum(X0,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))))))))),
inference(resolution,[],[f277,f2]) ).
fof(f311,plain,
! [X0] : sum(X0,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))))))))))))),
inference(resolution,[],[f292,f2]) ).
fof(f332,plain,
! [X0] : sum(X0,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))))))))))))))),
inference(resolution,[],[f311,f2]) ).
fof(f348,plain,
product(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))))))))))))))))))))))))))),
inference(resolution,[],[f332,f11]) ).
fof(f540,plain,
! [X0] :
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),X0)
| product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),X0) ),
inference(resolution,[],[f348,f4]) ).
fof(f595,plain,
product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
inference(resolution,[],[f540,f332]) ).
fof(f635,plain,
! [X0] :
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),X0)
| product(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),X0) ),
inference(resolution,[],[f595,f4]) ).
fof(f694,plain,
product(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
inference(resolution,[],[f635,f332]) ).
fof(f738,plain,
! [X0] :
( ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),X0)
| product(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),X0) ),
inference(resolution,[],[f694,f4]) ).
fof(f739,plain,
! [X0] : ~ sum(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),X0),
inference(forward_subsumption_resolution,[],[f738,f144]) ).
fof(f740,plain,
$false,
inference(resolution,[],[f739,f332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM283-1.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n005.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 19:27:02 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.50 % (114522)Will run a generic schedule for satisfiability detection.
% 0.16/0.50 % (114531)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2136152091:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.50 % (114528)% WARNING: option uhcvi not known.
% 0.16/0.50 % (114527)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3530744696_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.50 % (114528)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1564218007:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.50 % (114529)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3284639056:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.50 % (114530)dis+10_1_sil=32000:sp=arity:random_seed=4284068622:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.50 % (114532)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4229362196:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.50 % (114533)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2242749257:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.50 % TRYING [1]
% 0.16/0.50 % TRYING [2]
% 0.16/0.50 % TRYING [3]
% 0.16/0.50 % TRYING [4]
% 0.16/0.50 % TRYING [5]
% 0.16/0.50 % TRYING [6]
% 0.16/0.50 % TRYING [7]
% 0.16/0.50 % (114531)Instruction limit reached!
% 0.16/0.50 % (114531)------------------------------
% 0.16/0.50 % (114531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.50 % (114531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.50 % (114531)CaDiCaL version: 2.1.3
% 0.16/0.50 % (114531)Termination reason: Instruction limit
% 0.16/0.50 % (114531)Termination phase: Saturation
% 0.16/0.50 % (114531)Time elapsed: 0.028 s
% 0.16/0.50 % (114531)Peak memory usage: 11 MB
% 0.16/0.50 % (114531)Instructions burned: 121 (million)
% 0.16/0.50 % (114541)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3892955974:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/0.50 % TRYING [1]
% 0.16/0.50 % TRYING [2]
% 0.16/0.50 % TRYING [3]
% 0.16/0.50 % TRYING [4]
% 0.16/0.50 % TRYING [5]
% 0.16/0.50 % TRYING [8]
% 0.16/0.50 % TRYING [6]
% 0.16/0.50 % TRYING [7]
% 0.16/0.50 % (114532) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-114522-114532"...
% 0.16/0.50 % (114532)...printing done.
% 0.16/0.50 % (114532)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (114532)------------------------------
% 0.16/0.50 % (114532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.50 % (114532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.50 % (114532)CaDiCaL version: 2.1.3
% 0.16/0.50 % (114532)Termination reason: Refutation
% 0.16/0.50 % (114532)Time elapsed: 0.047 s
% 0.16/0.50 % (114532)Peak memory usage: 12 MB
% 0.16/0.50 % (114532)Instructions burned: 86 (million)
% 0.16/0.50 % (114522)Success in time 0.088 s
% 0.16/0.50 % Vampire exiting
%------------------------------------------------------------------------------