%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM602+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:24:58 PM UTC 2026
% Result : Theorem 0.13s 0.45s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 67 ( 26 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 64 ( 20 ~; 16 |; 26 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 24 ( 15 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,axiom,
! [X0] :
( ( ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 )
| aElementOf0(X0,xO) )
=> ? [X1] :
( aElementOf0(X1,szNzAzT0)
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4982) ).
fof(f98,axiom,
( ? [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X0) = xx )
& aElementOf0(xx,xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5009) ).
fof(f99,conjecture,
? [X0] :
( aElementOf0(X0,szNzAzT0)
& sdtlpdtrp0(xe,X0) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f100,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,szNzAzT0)
& sdtlpdtrp0(xe,X0) = xx ),
inference(negated_conjecture,[status(cth)],[f99]) ).
fof(f119,plain,
! [X0] :
( ( ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 )
| aElementOf0(X0,xO) )
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X2) = X0 ) ),
inference(rectify,[],[f97]) ).
fof(f246,plain,
! [X0] :
( ? [X2] :
( aElementOf0(X2,szNzAzT0)
& szDzizrdt0(xd) = sdtlpdtrp0(xd,X2)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X2) = X0 )
| ( ! [X1] :
( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X1) != X0 )
& ~ aElementOf0(X0,xO) ) ),
inference(ennf_transformation,[],[f119]) ).
fof(f247,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xe,X0) != xx ),
inference(ennf_transformation,[],[f100]) ).
fof(f426,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,szNzAzT0)
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd)
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 )
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X2) != X0 )
& ~ aElementOf0(X0,xO) ) ),
inference(rectify,[],[f246]) ).
fof(f427,plain,
! [X0] :
( ( aElementOf0(sK70(X0),szNzAzT0)
& szDzizrdt0(xd) = sdtlpdtrp0(xd,sK70(X0))
& aElementOf0(sK70(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,sK70(X0)) = X0 )
| ( ! [X2] :
( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xe,X2) != X0 )
& ~ aElementOf0(X0,xO) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70]),skolemize(X1,sK70(X0))],[f426]) ).
fof(f428,plain,
( aElementOf0(sK71,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& xx = sdtlpdtrp0(xe,sK71)
& aElementOf0(xx,xO) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK71]),skolemize(X0,sK71)],[f98]) ).
fof(f811,plain,
! [X0] :
( sdtlpdtrp0(xe,sK70(X0)) = X0
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f427]) ).
fof(f817,plain,
! [X0] :
( aElementOf0(sK70(X0),szNzAzT0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f427]) ).
fof(f819,plain,
aElementOf0(xx,xO),
inference(cnf_transformation,[],[f428]) ).
fof(f822,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xe,X0) != xx ),
inference(cnf_transformation,[],[f247]) ).
fof(f1205,plain,
! [X0] :
( ~ aElementOf0(sK70(X0),szNzAzT0)
| aElementOf0(X0,xO) ),
inference(consistent_polarity_flipping,[],[f817]) ).
fof(f1211,plain,
! [X0] :
( aElementOf0(X0,xO)
| sdtlpdtrp0(xe,sK70(X0)) = X0 ),
inference(consistent_polarity_flipping,[],[f811]) ).
fof(f1213,plain,
~ aElementOf0(xx,xO),
inference(consistent_polarity_flipping,[],[f819]) ).
fof(f1214,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xx
| aElementOf0(X0,szNzAzT0) ),
inference(consistent_polarity_flipping,[],[f822]) ).
fof(f1739,plain,
xx = sdtlpdtrp0(xe,sK70(xx)),
inference(resolution,[],[f1211,f1213]) ).
fof(f1743,plain,
( xx != xx
| aElementOf0(sK70(xx),szNzAzT0) ),
inference(superposition,[],[f1214,f1739]) ).
fof(f1744,plain,
aElementOf0(sK70(xx),szNzAzT0),
inference(trivial_inequality_removal,[],[f1743]) ).
fof(f1745,plain,
aElementOf0(xx,xO),
inference(resolution,[],[f1744,f1205]) ).
fof(f1746,plain,
$false,
inference(resolution,[],[f1745,f1213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM602+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 20:47:48 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 Running first-order model finding
% 0.13/0.40 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
% 0.13/0.45 % (2974459)Will run a generic schedule for satisfiability detection.
% 0.13/0.45 % (2974470)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=598103460:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.45 % (2974465)% WARNING: option uhcvi not known.
% 0.13/0.45 % (2974464)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3041233430_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.45 % (2974466)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1901664978:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.45 % (2974467)dis+10_1_sil=32000:sp=arity:random_seed=25021537:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.45 % (2974468)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=913248886:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.45 % (2974469)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3798038402:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.45 % (2974465)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1038121699:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.45 % (2974470) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2974459-2974470"...
% 0.13/0.45 % (2974470)...printing done.
% 0.13/0.45 % (2974470)Refutation found. Thanks to Tanya!
% 0.13/0.45 % SZS status Theorem for theBenchmark
% 0.13/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.45 % (2974470)------------------------------
% 0.13/0.45 % (2974470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.45 % (2974470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.45 % (2974470)CaDiCaL version: 2.1.3
% 0.13/0.45 % (2974470)Termination reason: Refutation
% 0.13/0.45 % (2974470)Time elapsed: 0.016 s
% 0.13/0.45 % (2974470)Peak memory usage: 13 MB
% 0.13/0.45 % (2974470)Instructions burned: 44 (million)
% 0.13/0.45 % (2974459)Success in time 0.046 s
% 0.13/0.45 % Vampire exiting
%------------------------------------------------------------------------------