%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN380+1 : TPTP v9.3.1. Released v2.0.0.
% 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 02:07:32 PM UTC 2026
% Result : Theorem 0.08s 0.15s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 2 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 13 ~; 5 |; 8 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 24 ( 18 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] : ~ big_r(X0,X0)
=> ? [X1,X2] :
( ~ big_r(X1,X2)
& ( big_q(X2,X1)
=> ! [X3] : big_q(X3,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2132) ).
fof(f2,negated_conjecture,
~ ( ! [X0] : ~ big_r(X0,X0)
=> ? [X1,X2] :
( ~ big_r(X1,X2)
& ( big_q(X2,X1)
=> ! [X3] : big_q(X3,X3) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X1,X2] :
( big_r(X1,X2)
| ( ? [X3] : ~ big_q(X3,X3)
& big_q(X2,X1) ) )
& ! [X0] : ~ big_r(X0,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X0,X1] :
( big_r(X0,X1)
| ( ? [X2] : ~ big_q(X2,X2)
& big_q(X1,X0) ) )
& ! [X3] : ~ big_r(X3,X3) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
( ! [X0,X1] :
( big_r(X0,X1)
| ( ~ big_q(sK0,sK0)
& big_q(X1,X0) ) )
& ! [X3] : ~ big_r(X3,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0)],[f4]) ).
fof(f6,plain,
! [X0] : ~ big_r(X0,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X0,X1] :
( big_r(X0,X1)
| big_q(X1,X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
! [X0,X1] :
( big_r(X0,X1)
| ~ big_q(sK0,sK0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f14,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f8,f7,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN380+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 15:50:49 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12 Running first-order model finding
% 0.08/0.12 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
% 0.08/0.15 % (3478479)Will run a generic schedule for satisfiability detection.
% 0.08/0.15 % (3478485)% WARNING: option uhcvi not known.
% 0.08/0.15 % (3478486)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2440099699:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.15 % (3478484)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=744060169_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.15 % (3478485)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2971603738:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.15 % (3478489)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=707961572:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.15 % (3478487)dis+10_1_sil=32000:sp=arity:random_seed=328643464:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.15 % (3478488)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2526955374:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.15 % (3478490)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3935573099:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.15 % Detected minimum model sizes of [1]
% 0.08/0.15 % Detected maximum model sizes of [1]
% 0.08/0.15 % TRYING [1]
% 0.08/0.15 % (3478484) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3478479-3478484"...
% 0.08/0.15 % (3478489) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3478479-3478489"...
% 0.08/0.15 % (3478487) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3478479-3478487"...
% 0.08/0.15 % (3478485) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3478479-3478485"...
% 0.08/0.15 % (3478486) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3478479-3478486"...
% 0.08/0.15 % (3478488) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3478479-3478488"...
% 0.08/0.15 % (3478490) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3478479-3478490"...
% 0.08/0.15 % (3478484)...printing done.
% 0.08/0.15 % (3478489)...printing done.
% 0.08/0.15 % (3478487)...printing done.
% 0.08/0.15 % (3478485)...printing done.
% 0.08/0.15 % (3478486)...printing done.
% 0.08/0.15 % (3478488)...printing done.
% 0.08/0.15 % (3478490)...printing done.
% 0.08/0.15 % (3478484)Refutation found. Thanks to Tanya!
% 0.08/0.15 % SZS status Theorem for theBenchmark
% 0.08/0.15 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.15 % (3478484)------------------------------
% 0.08/0.15 % (3478484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.15 % (3478484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.15 % (3478484)CaDiCaL version: 2.1.3
% 0.08/0.15 % (3478484)Termination reason: Refutation
% 0.08/0.15 % (3478484)Time elapsed: 0.0000 s
% 0.08/0.15 % (3478484)Peak memory usage: 11 MB
% 0.08/0.15 % (3478479)Success in time 0.021 s
% 0.08/0.15 % Vampire exiting
%------------------------------------------------------------------------------