%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN363+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 02:07:29 PM UTC 2026
% Result : Theorem 0.09s 0.14s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 20 ( 7 ~; 3 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 25 ( 19 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X0] : big_r(X0,b)
& ! [X1] :
( ? [X2] : big_r(X1,X2)
=> big_r(a,X1) ) )
=> ? [X3] :
! [X4] : big_r(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2114) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] : big_r(X0,b)
& ! [X1] :
( ? [X2] : big_r(X1,X2)
=> big_r(a,X1) ) )
=> ? [X3] :
! [X4] : big_r(X3,X4) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X3] :
? [X4] : ~ big_r(X3,X4)
& ! [X0] : big_r(X0,b)
& ! [X1] :
( big_r(a,X1)
| ! [X2] : ~ big_r(X1,X2) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X3] :
? [X4] : ~ big_r(X3,X4)
& ! [X0] : big_r(X0,b)
& ! [X1] :
( big_r(a,X1)
| ! [X2] : ~ big_r(X1,X2) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
! [X2,X1] :
( ~ big_r(X1,X2)
| big_r(a,X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
! [X0] : big_r(X0,b),
inference(cnf_transformation,[],[f4]) ).
fof(f7,plain,
! [X3] : ~ big_r(X3,sK0(X3)),
inference(cnf_transformation,[],[f4]) ).
fof(f8,plain,
! [X0] : big_r(a,X0),
inference(resolution,[],[f5,f6]) ).
fof(f20,plain,
$false,
inference(resolution,[],[f8,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN363+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 15:48:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.12 Running first-order model finding
% 0.09/0.12 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
% 0.09/0.14 % (3474197)Will run a generic schedule for satisfiability detection.
% 0.09/0.14 % (3474203)% WARNING: option uhcvi not known.
% 0.09/0.14 % (3474203)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2353593337:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.09/0.14 % (3474207)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3592367182:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.09/0.14 % (3474205)dis+10_1_sil=32000:sp=arity:random_seed=1175211823:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.09/0.14 % (3474204)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2126687146:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.09/0.14 % (3474206)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=770788745:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.09/0.14 % (3474208)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3970399461:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.09/0.14 % (3474207) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3474197-3474207"...
% 0.09/0.14 % (3474205) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3474197-3474205"...
% 0.09/0.14 % (3474203) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3474197-3474203"...
% 0.09/0.14 % (3474206) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3474197-3474206"...
% 0.09/0.14 % (3474208) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3474197-3474208"...
% 0.09/0.14 % (3474204) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3474197-3474204"...
% 0.09/0.14 % (3474207)...printing done.
% 0.09/0.14 % (3474206)...printing done.
% 0.09/0.14 % (3474205)...printing done.
% 0.09/0.14 % (3474203)...printing done.
% 0.09/0.14 % (3474208)...printing done.
% 0.09/0.14 % (3474204)...printing done.
% 0.09/0.14 % (3474206)Refutation found. Thanks to Tanya!
% 0.09/0.14 % SZS status Theorem for theBenchmark
% 0.09/0.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.14 % (3474206)------------------------------
% 0.09/0.14 % (3474206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.14 % (3474206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.14 % (3474206)CaDiCaL version: 2.1.3
% 0.09/0.14 % (3474206)Termination reason: Refutation
% 0.09/0.14 % (3474206)Time elapsed: 0.001 s
% 0.09/0.14 % (3474206)Peak memory usage: 11 MB
% 0.09/0.14 % (3474197)Success in time 0.014 s
% 0.09/0.14 % Vampire exiting
%------------------------------------------------------------------------------