%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM568+1 : 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 : n020.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 12:24:50 PM UTC 2026
% Result : Theorem 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 42 ( 22 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 35 ( 13 ~; 15 |; 6 &)
% ( 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 : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 13 ( 8 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(f79,axiom,
xK != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3520) ).
fof(f80,conjecture,
? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xK ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f81,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xK ),
inference(negated_conjecture,[status(cth)],[f80]) ).
fof(f121,plain,
! [X0] :
( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f122,plain,
! [X0] :
( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f121]) ).
fof(f190,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xK ),
inference(ennf_transformation,[],[f81]) ).
fof(f217,plain,
! [X0] :
( X0 = sz00
| ( aElementOf0(sK8(X0),szNzAzT0)
& szszuzczcdt0(sK8(X0)) = X0 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X1,sK8(X0))],[f122]) ).
fof(f308,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK8(X0)) = X0
| sz00 = X0 ),
inference(cnf_transformation,[],[f217]) ).
fof(f309,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK8(X0),szNzAzT0)
| sz00 = X0 ),
inference(cnf_transformation,[],[f217]) ).
fof(f402,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f413,plain,
sz00 != xK,
inference(cnf_transformation,[],[f79]) ).
fof(f414,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xK ),
inference(cnf_transformation,[],[f190]) ).
fof(f755,plain,
( aElementOf0(sK8(xK),szNzAzT0)
| sz00 = xK ),
inference(resolution,[],[f309,f402]) ).
fof(f756,plain,
aElementOf0(sK8(xK),szNzAzT0),
inference(forward_subsumption_resolution,[],[f755,f413]) ).
fof(f777,plain,
xK != szszuzczcdt0(sK8(xK)),
inference(resolution,[],[f756,f414]) ).
fof(f824,plain,
( xK = szszuzczcdt0(sK8(xK))
| sz00 = xK ),
inference(resolution,[],[f308,f402]) ).
fof(f827,plain,
sz00 = xK,
inference(forward_subsumption_resolution,[],[f824,f777]) ).
fof(f836,plain,
$false,
inference(forward_subsumption_resolution,[],[f827,f413]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM568+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n020.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 20:33:35 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.17/0.49 % (3724465)Will run a generic schedule for satisfiability detection.
% 0.17/0.49 % (3724470)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=394930780_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.49 % (3724471)% WARNING: option uhcvi not known.
% 0.17/0.49 % (3724474)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2637499094:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.49 % (3724475)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2205614488:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.49 % (3724471)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1682779161:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.49 % (3724472)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1977196309:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.49 % (3724473)dis+10_1_sil=32000:sp=arity:random_seed=2168563825:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.49 % (3724476)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3165635573:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.49 % TRYING [1]
% 0.17/0.49 % TRYING [2]
% 0.17/0.49 % TRYING [3]
% 0.17/0.49 % (3724475) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3724465-3724475"...
% 0.17/0.49 % (3724473) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3724465-3724473"...
% 0.17/0.49 % (3724475)...printing done.
% 0.17/0.49 % (3724473)...printing done.
% 0.17/0.49 % (3724475)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Theorem for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (3724475)------------------------------
% 0.17/0.49 % (3724475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49 % (3724475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49 % (3724475)CaDiCaL version: 2.1.3
% 0.17/0.49 % (3724475)Termination reason: Refutation
% 0.17/0.49 % (3724475)Time elapsed: 0.013 s
% 0.17/0.49 % (3724475)Peak memory usage: 12 MB
% 0.17/0.49 % (3724475)Instructions burned: 19 (million)
% 0.17/0.49 % (3724465)Success in time 0.049 s
% 0.17/0.49 % Vampire exiting
%------------------------------------------------------------------------------