%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL022-1 : 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 : n005.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 11:57:26 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 13 unt; 2 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 23 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ec_1) ).
fof(f4,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X2,X1),equivalent(X0,X2)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f5,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X0,X2)) ),
inference(resolution,[],[f4,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X1))))
| is_a_theorem(equivalent(X0,equivalent(X3,X2))) ),
inference(resolution,[],[f5,f2]) ).
fof(f7,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(X0,equivalent(X2,X3)))
| ~ is_a_theorem(equivalent(X1,X3)) ),
inference(resolution,[],[f5,f4]) ).
fof(f8,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(resolution,[],[f6,f2]) ).
fof(f10,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X1),X3))
| is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),X3))) ),
inference(resolution,[],[f7,f2]) ).
fof(f12,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X0)),equivalent(X2,X1))),
inference(resolution,[],[f8,f6]) ).
fof(f21,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X0)),equivalent(X1,X3)))
| ~ is_a_theorem(equivalent(X2,X3)) ),
inference(resolution,[],[f12,f7]) ).
fof(f26,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X2,X1)))),
inference(resolution,[],[f10,f8]) ).
fof(f46,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1))),
inference(resolution,[],[f26,f6]) ).
fof(f67,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X0))
| is_a_theorem(equivalent(X1,X1)) ),
inference(resolution,[],[f46,f1]) ).
fof(f69,definition,
( spl0_1
<=> ! [X1] : is_a_theorem(equivalent(X1,X1)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f70,plain,
( ! [X1] : is_a_theorem(equivalent(X1,X1))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,definition,
( spl0_2
<=> ! [X0] : ~ is_a_theorem(equivalent(X0,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f73,plain,
( ! [X0] : ~ is_a_theorem(equivalent(X0,X0))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f74,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f67,f72,f69]) ).
fof(f75,plain,
( $false
| ~ spl0_2 ),
inference(backward_subsumption_resolution,[],[f8,f73]) ).
fof(f79,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f75]) ).
fof(f254,plain,
~ is_a_theorem(equivalent(c,c)),
inference(resolution,[],[f21,f3]) ).
fof(f267,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f254,f70]) ).
fof(f268,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f267]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f74]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f79]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f268]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
fof(f269,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL022-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n005.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:17:32 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.17/0.49 % (4121537)Will run a generic schedule for satisfiability detection.
% 0.17/0.49 % (4121542)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2803644777_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.49 % TRYING [1]
% 0.17/0.49 % TRYING [2]
% 0.17/0.49 % TRYING [3]
% 0.17/0.49 % (4121543)% WARNING: option uhcvi not known.
% 0.17/0.49 % TRYING [4]
% 0.17/0.49 % (4121543)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2034535381:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.49 % (4121544)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=926554640:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.49 % (4121545)dis+10_1_sil=32000:sp=arity:random_seed=3345596888:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.49 % (4121546)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2462392161:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.49 % (4121547)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2279290917:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.49 % (4121548)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=317125429:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.49 % (4121543) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4121537-4121543"...
% 0.17/0.49 % (4121543)...printing done.
% 0.17/0.49 % (4121543)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (4121543)------------------------------
% 0.17/0.49 % (4121543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49 % (4121543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49 % (4121543)CaDiCaL version: 2.1.3
% 0.17/0.49 % (4121543)Termination reason: Refutation
% 0.17/0.49 % (4121543)Time elapsed: 0.008 s
% 0.17/0.49 % (4121543)Peak memory usage: 12 MB
% 0.17/0.49 % (4121543)Instructions burned: 10 (million)
% 0.17/0.49 % (4121537)Success in time 0.055 s
% 0.17/0.49 % Vampire exiting
%------------------------------------------------------------------------------