%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM618+1 : 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 : n004.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 12:25:02 PM UTC 2026
% Result : Theorem 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 33 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 13 ~; 7 |; 9 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 7 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,axiom,
! [X0] :
( aElementOf0(X0,xO)
=> ? [X1] :
( aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4982) ).
fof(f114,axiom,
( aElementOf0(xx,szNzAzT0)
& aElementOf0(xx,xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5365) ).
fof(f115,conjecture,
? [X0] :
( aElementOf0(X0,szNzAzT0)
& xx = sdtlpdtrp0(xe,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f116,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,szNzAzT0)
& xx = sdtlpdtrp0(xe,X0) ),
inference(negated_conjecture,[status(cth)],[f115]) ).
fof(f246,plain,
! [X0] :
( ? [X1] :
( aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = X0 )
| ~ aElementOf0(X0,xO) ),
inference(ennf_transformation,[],[f97]) ).
fof(f247,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xe,X0) != xx ),
inference(ennf_transformation,[],[f116]) ).
fof(f316,plain,
! [X0] :
( ( aElementOf0(sK28(X0),szNzAzT0)
& aElementOf0(sK28(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,sK28(X0)) = X0 )
| ~ aElementOf0(X0,xO) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(X1,sK28(X0))],[f246]) ).
fof(f512,plain,
! [X0] :
( ~ aElementOf0(X0,xO)
| sdtlpdtrp0(xe,sK28(X0)) = X0 ),
inference(cnf_transformation,[],[f316]) ).
fof(f514,plain,
! [X0] :
( aElementOf0(sK28(X0),szNzAzT0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f316]) ).
fof(f535,plain,
aElementOf0(xx,xO),
inference(cnf_transformation,[],[f114]) ).
fof(f537,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f798,plain,
xx = sdtlpdtrp0(xe,sK28(xx)),
inference(resolution,[],[f512,f535]) ).
fof(f821,plain,
( xx != xx
| ~ aElementOf0(sK28(xx),szNzAzT0) ),
inference(superposition,[],[f537,f798]) ).
fof(f822,plain,
~ aElementOf0(sK28(xx),szNzAzT0),
inference(trivial_inequality_removal,[],[f821]) ).
fof(f823,plain,
~ aElementOf0(xx,xO),
inference(resolution,[],[f822,f514]) ).
fof(f824,plain,
$false,
inference(forward_subsumption_resolution,[],[f823,f535]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM618+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n004.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 20:46:07 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
% 0.16/0.47 % (3861466)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (3861472)% WARNING: option uhcvi not known.
% 0.16/0.47 % (3861472)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1570840865:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (3861471)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3638708247_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (3861475)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4131429941:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (3861473)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2759349066:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (3861474)dis+10_1_sil=32000:sp=arity:random_seed=4224244270:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (3861476)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1111278818:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (3861477)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3960944546:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (3861473) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3861466-3861473"...
% 0.16/0.47 % (3861475) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3861466-3861475"...
% 0.16/0.47 % (3861473)...printing done.
% 0.16/0.47 % (3861475)...printing done.
% 0.16/0.47 % (3861473)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Theorem for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (3861473)------------------------------
% 0.16/0.47 % (3861473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (3861473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (3861473)CaDiCaL version: 2.1.3
% 0.16/0.47 % (3861473)Termination reason: Refutation
% 0.16/0.47 % (3861473)Time elapsed: 0.015 s
% 0.16/0.47 % (3861473)Peak memory usage: 12 MB
% 0.16/0.47 % (3861473)Instructions burned: 20 (million)
% 0.16/0.47 % (3861466)Success in time 0.058 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------