%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRA117+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 : n018.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 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 18
% Syntax : Number of formulae : 40 ( 31 unt; 0 def)
% Number of atoms : 73 ( 48 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 75 ( 42 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 24 ( 24 !; 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',rno3cl) ).
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',rno3acl) ).
fof(f4,axiom,
v0 != v1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v0nv1) ).
fof(f5,axiom,
v0 != v2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v0nv2) ).
fof(f6,axiom,
v1 != v2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1nv2) ).
fof(f7,axiom,
v0 != v3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v0nv3) ).
fof(f8,axiom,
v1 != v3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1nv3) ).
fof(f9,axiom,
v2 != v3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v2nv3) ).
fof(f10,axiom,
v0 != v4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v0nv4) ).
fof(f11,axiom,
v1 != v4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1nv4) ).
fof(f12,axiom,
v2 != v4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v2nv4) ).
fof(f13,axiom,
v3 != v4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v3nv4) ).
fof(f14,axiom,
v0 != v5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v0nv5) ).
fof(f15,axiom,
v1 != v5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1nv5) ).
fof(f16,axiom,
v2 != v5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v2nv5) ).
fof(f17,axiom,
v3 != v5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v3nv5) ).
fof(f18,axiom,
v4 != v5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v4nv5) ).
fof(f19,plain,
! [X0,X1] :
( ~ r(X0,X1)
| r(X1,X0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
! [X2,X0,X1] :
( X0 = X1
| X0 = X2
| X1 = X2
| ~ r(X0,X1)
| ~ r(X0,X2)
| ~ r(X1,X2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
! [X2,X0,X1] :
( X0 = X1
| X0 = X2
| X1 = X2
| r(X0,X1)
| r(X0,X2)
| r(X1,X2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
v0 != v1,
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
v0 != v2,
inference(cnf_transformation,[],[f5]) ).
fof(f24,plain,
v1 != v2,
inference(cnf_transformation,[],[f6]) ).
fof(f25,plain,
v0 != v3,
inference(cnf_transformation,[],[f7]) ).
fof(f26,plain,
v1 != v3,
inference(cnf_transformation,[],[f8]) ).
fof(f27,plain,
v2 != v3,
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
v0 != v4,
inference(cnf_transformation,[],[f10]) ).
fof(f29,plain,
v1 != v4,
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
v2 != v4,
inference(cnf_transformation,[],[f12]) ).
fof(f31,plain,
v3 != v4,
inference(cnf_transformation,[],[f13]) ).
fof(f32,plain,
v0 != v5,
inference(cnf_transformation,[],[f14]) ).
fof(f33,plain,
v1 != v5,
inference(cnf_transformation,[],[f15]) ).
fof(f34,plain,
v2 != v5,
inference(cnf_transformation,[],[f16]) ).
fof(f35,plain,
v3 != v5,
inference(cnf_transformation,[],[f17]) ).
fof(f36,plain,
v4 != v5,
inference(cnf_transformation,[],[f18]) ).
fof(f37,plain,
! [X0,X1] :
( r(X0,X1)
| ~ r(X1,X0) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f38,plain,
! [X2,X0,X1] :
( X0 = X1
| X0 = X2
| X1 = X2
| r(X0,X1)
| r(X0,X2)
| r(X1,X2) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f39,plain,
! [X2,X0,X1] :
( X0 = X1
| X0 = X2
| X1 = X2
| ~ r(X0,X1)
| ~ r(X0,X2)
| ~ r(X1,X2) ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f55,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f37,f38,f39,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRA117+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 % Computer : n018.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 09:01:23 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.45 Running first-order model finding
% 0.14/0.45 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
% 0.21/0.51 % (2051435)Will run a generic schedule for satisfiability detection.
% 0.21/0.51 % (2051445)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1471978142:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.51 % (2051446)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=97912608:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.51 % (2051441)% WARNING: option uhcvi not known.
% 0.21/0.51 % (2051440)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=829932923_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.51 % (2051441)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2566515745:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.51 % (2051443)dis+10_1_sil=32000:sp=arity:random_seed=3706354094:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.51 % (2051444)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3017413740:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.51 % (2051442)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3005379539:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.51 % Detected minimum model sizes of [6]
% 0.21/0.51 % Detected maximum model sizes of [6]
% 0.21/0.51 % TRYING [6]
% 0.21/0.51 % (2051440) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2051435-2051440"...
% 0.21/0.51 % (2051440)...printing done.
% 0.21/0.51 % (2051440)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (2051440)------------------------------
% 0.21/0.51 % (2051440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.51 % (2051440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.51 % (2051440)CaDiCaL version: 2.1.3
% 0.21/0.51 % (2051440)Termination reason: Refutation
% 0.21/0.51 % (2051440)Time elapsed: 0.004 s
% 0.21/0.51 % (2051440)Peak memory usage: 11 MB
% 0.21/0.51 % (2051440)Instructions burned: 3 (million)
% 0.21/0.51 % (2051435)Success in time 0.04 s
% 0.21/0.51 % Vampire exiting
%------------------------------------------------------------------------------