%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL027-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 11:57:27 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 11 unt; 1 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 11 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_2) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(implies(X0,falsehood),falsehood),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_5) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_6) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(falsehood,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_4) ).
fof(f15,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f2]) ).
fof(f46,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f4,f1]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f46,f1]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f53,f15]) ).
fof(f91,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,falsehood),falsehood)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f72,f3]) ).
fof(f260,definition,
( spl0_16
<=> ! [X0] : is_a_theorem(implies(falsehood,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f261,plain,
( ! [X0] : is_a_theorem(implies(falsehood,X0))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f280,plain,
( $false
| ~ spl0_16 ),
inference(resolution,[],[f261,f5]) ).
fof(f287,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f336,plain,
! [X0] : is_a_theorem(implies(falsehood,X0)),
inference(resolution,[],[f91,f2]) ).
fof(f363,plain,
spl0_16,
inference(avatar_split_clause,[],[f336,f260]) ).
cnf(s191,plain,
~ spl0_16,
inference(sat_conversion,[],[f287]) ).
cnf(s237,plain,
spl0_16,
inference(sat_conversion,[],[f363]) ).
cnf(s238,plain,
$false,
inference(rat,[],[s191,s237]) ).
fof(f364,plain,
$false,
inference(avatar_sat_refutation,[],[s238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL027-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 15:22:47 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.46 % (2771868)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (2771875)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=294153892:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.46 % (2771874)% WARNING: option uhcvi not known.
% 0.12/0.46 % (2771875) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2771868-2771875"...
% 0.12/0.46 % (2771875)...printing done.
% 0.12/0.46 % (2771873)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1052373970_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.46 % (2771874)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=695808401:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.46 % (2771876)dis+10_1_sil=32000:sp=arity:random_seed=3593558403:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.46 % (2771877)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2393031173:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.46 % TRYING [1]
% 0.12/0.46 % TRYING [2]
% 0.12/0.46 % (2771875)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (2771875)------------------------------
% 0.12/0.46 % (2771875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (2771875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (2771875)CaDiCaL version: 2.1.3
% 0.12/0.46 % (2771875)Termination reason: Refutation
% 0.12/0.46 % (2771875)Time elapsed: 0.004 s
% 0.12/0.46 % (2771875)Peak memory usage: 12 MB
% 0.12/0.46 % (2771875)Instructions burned: 7 (million)
% 0.12/0.46 % (2771868)Success in time 0.034 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------