%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM594+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 : n012.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 12:24:57 PM UTC 2026
% Result : Theorem 0.07s 0.38s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 62 ( 21 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 71 ( 26 ~; 17 |; 25 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 16 ( 11 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f92,axiom,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aSet0(X1)
& ( ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& sbrdtbr0(X1) = xk )
| aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
=> sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(f94,axiom,
( ? [X0] :
( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = xx )
& aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4781) ).
fof(f95,conjecture,
? [X0] :
( aElementOf0(X0,szNzAzT0)
& sdtlpdtrp0(xd,X0) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f96,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,szNzAzT0)
& sdtlpdtrp0(xd,X0) = xx ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f236,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ( ( ( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) )
& ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f92]) ).
fof(f237,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ( ( ( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) )
& ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f236]) ).
fof(f238,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlpdtrp0(xd,X0) != xx ),
inference(ennf_transformation,[],[f96]) ).
fof(f407,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ( ( ( ~ aElementOf0(sK67(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK67(X0,X1),X1)
& ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67]),skolemize(X2,sK67(X0,X1))],[f237]) ).
fof(f411,plain,
( aElementOf0(sK69,szDzozmdt0(xd))
& xx = sdtlpdtrp0(xd,sK69)
& aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69]),skolemize(X0,sK69)],[f94]) ).
fof(f770,plain,
szNzAzT0 = szDzozmdt0(xd),
inference(cnf_transformation,[],[f407]) ).
fof(f777,plain,
xx = sdtlpdtrp0(xd,sK69),
inference(cnf_transformation,[],[f411]) ).
fof(f778,plain,
aElementOf0(sK69,szDzozmdt0(xd)),
inference(cnf_transformation,[],[f411]) ).
fof(f779,plain,
! [X0] :
( sdtlpdtrp0(xd,X0) != xx
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f849,plain,
aElementOf0(sK69,szNzAzT0),
inference(forward_demodulation,[],[f778,f770]) ).
fof(f863,plain,
( xx != xx
| ~ aElementOf0(sK69,szNzAzT0) ),
inference(superposition,[],[f779,f777]) ).
fof(f864,plain,
~ aElementOf0(sK69,szNzAzT0),
inference(trivial_inequality_removal,[],[f863]) ).
fof(f865,plain,
$false,
inference(forward_subsumption_resolution,[],[f864,f849]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM594+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32 % Computer : n012.cluster.edu
% 0.04/0.32 % Model : x86_64 x86_64
% 0.04/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.32 % Memory : 8046.5625MB
% 0.04/0.32 % OS : Linux 6.8.0-71-generic
% 0.04/0.32 % CPULimit : 300
% 0.04/0.32 % WCLimit : 300
% 0.04/0.32 % DateTime : Sun Sep 27 20:39:50 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.34 Running first-order model finding
% 0.07/0.34 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
% 0.07/0.38 % (2718433)Will run a generic schedule for satisfiability detection.
% 0.07/0.38 % (2718439)% WARNING: option uhcvi not known.
% 0.07/0.38 % (2718438)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1511889427_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.38 % (2718440)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=506167060:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.38 % (2718443)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2398995826:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.38 % (2718439)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=980835900:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.38 % (2718441)dis+10_1_sil=32000:sp=arity:random_seed=2968299919:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.38 % (2718442)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=435402247:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.38 % (2718444)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2126759978:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.38 % (2718441) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2718433-2718441"...
% 0.07/0.38 % (2718441)...printing done.
% 0.07/0.38 % (2718441)Refutation found. Thanks to Tanya!
% 0.07/0.38 % SZS status Theorem for theBenchmark
% 0.07/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.38 % (2718441)------------------------------
% 0.07/0.38 % (2718441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.38 % (2718441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.38 % (2718441)CaDiCaL version: 2.1.3
% 0.07/0.38 % (2718441)Termination reason: Refutation
% 0.07/0.38 % (2718441)Time elapsed: 0.006 s
% 0.07/0.38 % (2718441)Peak memory usage: 12 MB
% 0.07/0.38 % (2718441)Instructions burned: 20 (million)
% 0.07/0.38 % (2718433)Success in time 0.036 s
% 0.07/0.38 % Vampire exiting
%------------------------------------------------------------------------------