%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL044-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 11:57:29 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f3,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_18) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_21) ).
fof(f6,axiom,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_54) ).
fof(f7,negated_conjecture,
~ is_a_theorem(implies(a,not(not(a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_40) ).
fof(f12,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),X1),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f6,f1]) ).
fof(f13,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(resolution,[],[f4,f1]) ).
fof(f23,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(resolution,[],[f12,f1]) ).
fof(f25,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,not(X0))))
| is_a_theorem(implies(X1,not(X0))) ),
inference(resolution,[],[f23,f3]) ).
fof(f29,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f13,f2]) ).
fof(f309,plain,
! [X0] : is_a_theorem(implies(X0,not(not(X0)))),
inference(resolution,[],[f25,f29]) ).
fof(f319,plain,
$false,
inference(resolution,[],[f309,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL044-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.34 % Computer : n019.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 27 15:19:04 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.40 Running first-order model finding
% 0.16/0.40 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
% 0.16/0.46 % (3191744)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (3191749)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2951594350_3000 on theBenchmark for (3000ds/0Mi)
% 0.16/0.46 % TRYING [1]
% 0.16/0.46 % TRYING [2]
% 0.16/0.46 % TRYING [3]
% 0.16/0.46 % (3191751)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=45533445:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.16/0.46 % TRYING [4]
% 0.16/0.46 % (3191750)% WARNING: option uhcvi not known.
% 0.16/0.46 % (3191752)dis+10_1_sil=32000:sp=arity:random_seed=1354572760:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.16/0.46 % (3191750)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=797782851:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.16/0.46 % (3191753)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3403230536:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.16/0.46 % (3191754)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4231842996:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.16/0.46 % (3191755)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1584646361:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.16/0.46 % TRYING [5]
% 0.16/0.46 % (3191752) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3191744-3191752"...
% 0.16/0.46 % (3191755) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3191744-3191755"...
% 0.16/0.46 % (3191750) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3191744-3191750"...
% 0.16/0.46 % (3191752)...printing done.
% 0.16/0.46 % (3191755)...printing done.
% 0.16/0.46 % (3191750)...printing done.
% 0.16/0.46 % (3191752)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (3191752)------------------------------
% 0.16/0.46 % (3191752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (3191752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (3191752)CaDiCaL version: 2.1.3
% 0.16/0.46 % (3191752)Termination reason: Refutation
% 0.16/0.46 % (3191752)Time elapsed: 0.010 s
% 0.16/0.46 % (3191752)Peak memory usage: 11 MB
% 0.16/0.46 % (3191752)Instructions burned: 8 (million)
% 0.16/0.46 % (3191744)Success in time 0.048 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------