%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL115-1 : 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 : n004.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 11:57:42 AM UTC 2026
% Result : Unsatisfiable 1.41s 0.75s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 14 unt; 2 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 30 ~; 25 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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; 2 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 48 !; 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(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_1) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_3) ).
fof(f5,axiom,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_5) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(not(implies(a,b)),not(b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_39) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f2]) ).
fof(f10,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f5,f1]) ).
fof(f36,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f3,f1]) ).
fof(f37,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X1))
| is_a_theorem(implies(implies(X1,X0),X0)) ),
inference(resolution,[],[f4,f1]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f36,f1]) ).
fof(f40,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f37,f7]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),not(X2))))
| is_a_theorem(implies(X0,implies(X2,X1))) ),
inference(resolution,[],[f38,f5]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f38,f40]) ).
fof(f153,definition,
( spl0_6
<=> ! [X1] : ~ is_a_theorem(X1) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f154,plain,
( ! [X1] : ~ is_a_theorem(X1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f159,plain,
( $false
| ~ spl0_6 ),
inference(resolution,[],[f154,f2]) ).
fof(f166,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f859,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f48,f2]) ).
fof(f886,plain,
! [X0,X1] : is_a_theorem(implies(not(not(X0)),implies(X1,X0))),
inference(resolution,[],[f859,f48]) ).
fof(f914,plain,
! [X0,X1] :
( is_a_theorem(implies(not(not(X0)),X0))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f886,f53]) ).
fof(f925,definition,
( spl0_34
<=> ! [X0] : is_a_theorem(implies(not(not(X0)),X0)) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f926,plain,
( ! [X0] : is_a_theorem(implies(not(not(X0)),X0))
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f927,plain,
( spl0_6
| spl0_34 ),
inference(avatar_split_clause,[],[f914,f925,f153]) ).
fof(f931,plain,
( ! [X0] : is_a_theorem(implies(X0,not(not(X0))))
| ~ spl0_34 ),
inference(resolution,[],[f926,f10]) ).
fof(f950,plain,
( ! [X0,X1] :
( is_a_theorem(implies(X0,not(not(X1))))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_34 ),
inference(resolution,[],[f931,f38]) ).
fof(f1544,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(implies(not(X1),X0)) )
| ~ spl0_34 ),
inference(resolution,[],[f950,f10]) ).
fof(f2913,plain,
( ! [X0,X1] : is_a_theorem(implies(not(implies(X0,X1)),not(X1)))
| ~ spl0_34 ),
inference(resolution,[],[f1544,f886]) ).
fof(f3016,plain,
( $false
| ~ spl0_34 ),
inference(resolution,[],[f2913,f6]) ).
fof(f3038,plain,
~ spl0_34,
inference(avatar_contradiction_clause,[],[f3016]) ).
cnf(s12,plain,
~ spl0_6,
inference(sat_conversion,[],[f166]) ).
cnf(s45,plain,
( spl0_6
| spl0_34 ),
inference(sat_conversion,[],[f927]) ).
cnf(s136,plain,
~ spl0_34,
inference(sat_conversion,[],[f3038]) ).
cnf(s137,plain,
spl0_6,
inference(rat,[],[s45,s136]) ).
cnf(s138,plain,
$false,
inference(rat,[],[s12,s137]) ).
fof(f3039,plain,
$false,
inference(avatar_sat_refutation,[],[s138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL115-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.43 % Computer : n004.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 15:22:07 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.48 Running first-order model finding
% 0.21/0.48 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
% 1.41/0.75 % (3657694)Will run a generic schedule for satisfiability detection.
% 1.41/0.75 % (3657702)dis+10_1_sil=32000:sp=arity:random_seed=1333957379:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 1.41/0.75 % (3657700)% WARNING: option uhcvi not known.
% 1.41/0.75 % (3657700)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2878652947:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 1.41/0.75 % (3657699)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2115576651_3000 on theBenchmark for (3000ds/0Mi)
% 1.41/0.75 % (3657703)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=83185674:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 1.41/0.75 % (3657701)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3770490864:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 1.41/0.75 % (3657705)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3166169523:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 1.41/0.75 % (3657704)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=605845978:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 1.41/0.75 % TRYING [1]
% 1.41/0.75 % TRYING [2]
% 1.41/0.75 % TRYING [3]
% 1.41/0.75 % TRYING [4]
% 1.41/0.75 % (3657702)Instruction limit reached!
% 1.41/0.75 % (3657702)------------------------------
% 1.41/0.75 % (3657702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.75 % (3657702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.75 % (3657702)CaDiCaL version: 2.1.3
% 1.41/0.75 % (3657702)Termination reason: Instruction limit
% 1.41/0.75 % (3657702)Termination phase: Saturation
% 1.41/0.75 % (3657702)Time elapsed: 0.066 s
% 1.41/0.75 % (3657702)Peak memory usage: 12 MB
% 1.41/0.75 % (3657702)Instructions burned: 104 (million)
% 1.41/0.75 % (3657713)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2054031056:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.41/0.75 % TRYING [1]
% 1.41/0.75 % TRYING [2]
% 1.41/0.75 % TRYING [3]
% 1.41/0.75 % TRYING [4]
% 1.41/0.75 % (3657703)Instruction limit reached!
% 1.41/0.75 % (3657703)------------------------------
% 1.41/0.75 % (3657703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.75 % (3657703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.75 % (3657703)CaDiCaL version: 2.1.3
% 1.41/0.75 % (3657703)Termination reason: Instruction limit
% 1.41/0.75 % (3657703)Termination phase: Saturation
% 1.41/0.75 % (3657703)Time elapsed: 0.114 s
% 1.41/0.75 % (3657703)Peak memory usage: 11 MB
% 1.41/0.75 % (3657703)Instructions burned: 116 (million)
% 1.41/0.75 % (3657704)Instruction limit reached!
% 1.41/0.75 % (3657704)------------------------------
% 1.41/0.75 % (3657704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.75 % (3657704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.75 % (3657704)CaDiCaL version: 2.1.3
% 1.41/0.75 % (3657704)Termination reason: Instruction limit
% 1.41/0.75 % (3657704)Termination phase: Saturation
% 1.41/0.75 % (3657704)Time elapsed: 0.128 s
% 1.41/0.75 % (3657704)Peak memory usage: 13 MB
% 1.41/0.75 % (3657704)Instructions burned: 132 (million)
% 1.41/0.75 % (3657715)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=825392978:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.41/0.75 % (3657716)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=399142141:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.41/0.75 % TRYING [5]
% 1.41/0.75 % (3657705)Instruction limit reached!
% 1.41/0.75 % (3657705)------------------------------
% 1.41/0.75 % (3657705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.75 % (3657705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.75 % (3657705)CaDiCaL version: 2.1.3
% 1.41/0.75 % (3657705)Termination reason: Instruction limit
% 1.41/0.75 % (3657705)Termination phase: Saturation
% 1.41/0.75 % (3657705)Time elapsed: 0.159 s
% 1.41/0.75 % (3657705)Peak memory usage: 12 MB
% 1.41/0.75 % (3657705)Instructions burned: 159 (million)
% 1.41/0.75 % TRYING [5]
% 1.41/0.75 % (3657719)ott-21_1_sil=16000:fs=off:random_seed=534538857:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.41/0.75 % (3657716) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3657694-3657716"...
% 1.41/0.75 % (3657716)...printing done.
% 1.41/0.75 % (3657716)Refutation found. Thanks to Tanya!
% 1.41/0.75 % SZS status Unsatisfiable for theBenchmark
% 1.41/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.75 % (3657716)------------------------------
% 1.41/0.75 % (3657716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.75 % (3657716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.75 % (3657716)CaDiCaL version: 2.1.3
% 1.41/0.75 % (3657716)Termination reason: Refutation
% 1.41/0.75 % (3657716)Time elapsed: 0.073 s
% 1.41/0.75 % (3657716)Peak memory usage: 13 MB
% 1.41/0.75 % (3657716)Instructions burned: 82 (million)
% 1.41/0.75 % (3657694)Success in time 0.263 s
% 1.41/0.75 % Vampire exiting
%------------------------------------------------------------------------------