%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM576+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:24:52 PM UTC 2026
% Result : Theorem 0.34s 0.48s
% Output : Refutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 78 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 91 ( 42 ~; 36 |; 8 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
fof(f84,axiom,
( aElementOf0(xi,szNzAzT0)
& aElementOf0(xj,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3856) ).
fof(f85,conjecture,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f86,negated_conjecture,
~ ( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
inference(negated_conjecture,[status(cth)],[f85]) ).
fof(f139,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f140,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f139]) ).
fof(f143,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f144,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f143]) ).
fof(f210,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
& ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& xi != xj ),
inference(ennf_transformation,[],[f86]) ).
fof(f211,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
& ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
& xi != xj ),
inference(flattening,[],[f210]) ).
fof(f266,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f268,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f469,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f470,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f471,plain,
xi != xj,
inference(cnf_transformation,[],[f211]) ).
fof(f472,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(cnf_transformation,[],[f211]) ).
fof(f473,plain,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(cnf_transformation,[],[f211]) ).
fof(f1270,plain,
( ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0)
| sdtlseqdt0(xj,xi) ),
inference(resolution,[],[f268,f472]) ).
fof(f1272,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0)
| sdtlseqdt0(xi,xj) ),
inference(resolution,[],[f268,f473]) ).
fof(f1278,plain,
( ~ aElementOf0(xj,szNzAzT0)
| sdtlseqdt0(xi,xj) ),
inference(forward_subsumption_resolution,[],[f1272,f470]) ).
fof(f1280,plain,
( ~ aElementOf0(xi,szNzAzT0)
| sdtlseqdt0(xj,xi) ),
inference(forward_subsumption_resolution,[],[f1270,f469]) ).
fof(f1281,plain,
sdtlseqdt0(xi,xj),
inference(forward_subsumption_resolution,[],[f1278,f469]) ).
fof(f1283,plain,
sdtlseqdt0(xj,xi),
inference(forward_subsumption_resolution,[],[f1280,f470]) ).
fof(f1712,plain,
( ~ aElementOf0(xj,szNzAzT0)
| ~ sdtlseqdt0(xi,xj)
| ~ aElementOf0(xi,szNzAzT0)
| xi = xj ),
inference(resolution,[],[f1283,f266]) ).
fof(f1713,plain,
( ~ sdtlseqdt0(xi,xj)
| ~ aElementOf0(xi,szNzAzT0)
| xi = xj ),
inference(forward_subsumption_resolution,[],[f1712,f469]) ).
fof(f1714,plain,
( ~ aElementOf0(xi,szNzAzT0)
| xi = xj ),
inference(forward_subsumption_resolution,[],[f1713,f1281]) ).
fof(f1715,plain,
xi = xj,
inference(forward_subsumption_resolution,[],[f1714,f470]) ).
fof(f1716,plain,
$false,
inference(forward_subsumption_resolution,[],[f1715,f471]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM576+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n016.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 20:39:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.39 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
% 0.34/0.48 % (2968846)Will run a generic schedule for satisfiability detection.
% 0.34/0.48 % (2968853)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3735406305:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.34/0.48 % (2968852)% WARNING: option uhcvi not known.
% 0.34/0.48 % (2968851)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1911489638_2999 on theBenchmark for (2999ds/0Mi)
% 0.34/0.48 % (2968854)dis+10_1_sil=32000:sp=arity:random_seed=3949242385:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.34/0.48 % (2968855)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3592248423:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.34/0.48 % (2968856)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=349526202:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.34/0.48 % (2968857)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=563833098:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.34/0.48 % (2968852)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2284565574:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.34/0.48 % TRYING [1]
% 0.34/0.48 % TRYING [2]
% 0.34/0.48 % (2968852) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2968846-2968852"...
% 0.34/0.48 % TRYING [3]
% 0.34/0.48 % (2968852)...printing done.
% 0.34/0.48 % (2968854) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2968846-2968854"...
% 0.34/0.48 % (2968852)Refutation found. Thanks to Tanya!
% 0.34/0.48 % SZS status Theorem for theBenchmark
% 0.34/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.34/0.48 % (2968852)------------------------------
% 0.34/0.48 % (2968852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.48 % (2968852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.48 % (2968852)CaDiCaL version: 2.1.3
% 0.34/0.48 % (2968852)Termination reason: Refutation
% 0.34/0.48 % (2968852)Time elapsed: 0.032 s
% 0.34/0.48 % (2968852)Peak memory usage: 12 MB
% 0.34/0.48 % (2968852)Instructions burned: 43 (million)
% 0.34/0.48 % (2968846)Success in time 0.075 s
% 0.34/0.48 % Vampire exiting
%------------------------------------------------------------------------------