%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRA119+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 10:08:40 AM UTC 2026
% Result : Unsatisfiable 0.41s 0.50s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 37 ( 20 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 38 ( 16 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ r(X0,X1)
| r(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rsym) ).
fof(f2,axiom,
! [X0,X1,X2] :
( X0 = X1
| X0 = X2
| X1 = X2
| ~ r(X0,X1)
| ~ r(X0,X2)
| ~ r(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rn3cl) ).
fof(f3,axiom,
! [X0,X1,X2] :
( X0 = X1
| X0 = X2
| X1 = X2
| r(X0,X1)
| r(X0,X2)
| r(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rn3acl) ).
fof(f4,axiom,
f(f(f(f(f(f(c)))))) != f(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f6ck) ).
fof(f5,axiom,
f(f(f(f(f(f(c)))))) != f(f(c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f62ck) ).
fof(f6,axiom,
f(f(f(f(f(f(c)))))) != f(f(f(c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f63ck) ).
fof(f7,axiom,
f(f(f(f(f(f(c)))))) != f(f(f(f(c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f64ck) ).
fof(f8,plain,
! [X0,X1] :
( ~ r(X0,X1)
| r(X1,X0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f9,plain,
! [X2,X0,X1] :
( X0 = X1
| X0 = X2
| X1 = X2
| ~ r(X0,X1)
| ~ r(X0,X2)
| ~ r(X1,X2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f10,plain,
! [X2,X0,X1] :
( X0 = X1
| X0 = X2
| X1 = X2
| r(X0,X1)
| r(X0,X2)
| r(X1,X2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f11,plain,
f(c) != f(f(f(f(f(f(c)))))),
inference(cnf_transformation,[],[f4]) ).
fof(f12,plain,
f(f(c)) != f(f(f(f(f(f(c)))))),
inference(cnf_transformation,[],[f5]) ).
fof(f13,plain,
f(f(f(c))) != f(f(f(f(f(f(c)))))),
inference(cnf_transformation,[],[f6]) ).
fof(f14,plain,
f(f(f(f(c)))) != f(f(f(f(f(f(c)))))),
inference(cnf_transformation,[],[f7]) ).
fof(f47,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f8,f9,f10,f11,f12,f13,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA119+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n003.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 09:01:10 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.44 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
% 0.41/0.50 % (223354)Will run a generic schedule for satisfiability detection.
% 0.41/0.50 % (223364)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1659666304:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.41/0.50 % (223361)% WARNING: option uhcvi not known.
% 0.41/0.50 % (223360)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=472894135_3000 on theBenchmark for (3000ds/0Mi)
% 0.41/0.50 % (223361)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3397618605:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.41/0.50 % (223362)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3726586049:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.41/0.50 % (223366)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1177631238:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.41/0.50 % (223363)dis+10_1_sil=32000:sp=arity:random_seed=1629833972:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.41/0.50 % TRYING [1]
% 0.41/0.50 % TRYING [2]
% 0.41/0.50 % (223365)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1176334419:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.41/0.50 % TRYING [3]
% 0.41/0.50 % TRYING [4]
% 0.41/0.50 % TRYING [5]
% 0.41/0.50 % TRYING [6]
% 0.41/0.50 % (223360) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-223354-223360"...
% 0.41/0.50 % (223360)...printing done.
% 0.41/0.50 % (223360)Refutation found. Thanks to Tanya!
% 0.41/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.41/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.41/0.50 % (223360)------------------------------
% 0.41/0.50 % (223360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.50 % (223360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.50 % (223360)CaDiCaL version: 2.1.3
% 0.41/0.50 % (223360)Termination reason: Refutation
% 0.41/0.50 % (223360)Time elapsed: 0.010 s
% 0.41/0.50 % (223360)Peak memory usage: 11 MB
% 0.41/0.50 % (223360)Instructions burned: 10 (million)
% 0.41/0.50 % (223354)Success in time 0.047 s
% 0.41/0.50 % Vampire exiting
%------------------------------------------------------------------------------