%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL111-1 : 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 : n013.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 11:57:41 AM UTC 2026
% Result : Unsatisfiable 0.54s 0.56s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| 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(f6,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(c,a),implies(c,b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_25) ).
fof(f7,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) ),
inference(resolution,[],[f1,f2]) ).
fof(f10,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f3,f7]) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),X3))
| is_a_theorem(X3) ),
inference(resolution,[],[f3,f1]) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0)),X2))
| is_a_theorem(X2) ),
inference(resolution,[],[f4,f1]) ).
fof(f25,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(resolution,[],[f11,f3]) ).
fof(f33,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f14,f10]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(implies(X0,X1),X1)),X2))
| is_a_theorem(X2) ),
inference(resolution,[],[f33,f1]) ).
fof(f85,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)),X4))
| is_a_theorem(X4) ),
inference(resolution,[],[f25,f1]) ).
fof(f570,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f39,f3]) ).
fof(f893,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f570,f85]) ).
fof(f1555,plain,
$false,
inference(resolution,[],[f893,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL111-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 15:22:06 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 Running first-order model finding
% 0.14/0.41 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
% 0.54/0.56 % (344447)Will run a generic schedule for satisfiability detection.
% 0.54/0.56 % (344455)dis+10_1_sil=32000:sp=arity:random_seed=1984678133:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.54/0.56 % (344453)% WARNING: option uhcvi not known.
% 0.54/0.56 % (344452)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1191277095_3000 on theBenchmark for (3000ds/0Mi)
% 0.54/0.56 % (344453)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2705508718:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.54/0.56 % (344454)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3762547159:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.54/0.56 % (344456)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1186504583:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.54/0.56 % (344457)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1460649853:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.54/0.56 % (344458)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1498587863:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.54/0.56 % TRYING [1]
% 0.54/0.56 % TRYING [2]
% 0.54/0.56 % TRYING [3]
% 0.54/0.56 % TRYING [4]
% 0.54/0.56 % (344455)Instruction limit reached!
% 0.54/0.56 % (344455)------------------------------
% 0.54/0.56 % (344455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.56 % (344455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.56 % (344455)CaDiCaL version: 2.1.3
% 0.54/0.56 % (344455)Termination reason: Instruction limit
% 0.54/0.56 % (344455)Termination phase: Saturation
% 0.54/0.56 % (344455)Time elapsed: 0.035 s
% 0.54/0.56 % (344455)Peak memory usage: 12 MB
% 0.54/0.56 % (344455)Instructions burned: 104 (million)
% 0.54/0.56 % (344469)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=142526501:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.54/0.56 % TRYING [1]
% 0.54/0.56 % TRYING [2]
% 0.54/0.56 % TRYING [3]
% 0.54/0.56 % TRYING [4]
% 0.54/0.56 % (344456)Instruction limit reached!
% 0.54/0.56 % (344456)------------------------------
% 0.54/0.56 % (344456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.56 % (344456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.56 % (344456)CaDiCaL version: 2.1.3
% 0.54/0.56 % (344456)Termination reason: Instruction limit
% 0.54/0.56 % (344456)Termination phase: Saturation
% 0.54/0.56 % (344456)Time elapsed: 0.072 s
% 0.54/0.56 % (344456)Peak memory usage: 11 MB
% 0.54/0.56 % (344456)Instructions burned: 117 (million)
% 0.54/0.56 % (344457)Instruction limit reached!
% 0.54/0.56 % (344457)------------------------------
% 0.54/0.56 % (344457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.56 % (344457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.56 % (344457)CaDiCaL version: 2.1.3
% 0.54/0.56 % (344457)Termination reason: Instruction limit
% 0.54/0.56 % (344457)Termination phase: Saturation
% 0.54/0.56 % (344457)Time elapsed: 0.082 s
% 0.54/0.56 % (344457)Peak memory usage: 13 MB
% 0.54/0.56 % (344457)Instructions burned: 131 (million)
% 0.54/0.56 % (344490)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2735100777:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.54/0.56 % TRYING [5]
% 0.54/0.56 % (344494)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=2705074574:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.54/0.56 % (344458)Instruction limit reached!
% 0.54/0.56 % (344458)------------------------------
% 0.54/0.56 % (344458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.56 % (344458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.56 % (344458)CaDiCaL version: 2.1.3
% 0.54/0.56 % (344458)Termination reason: Instruction limit
% 0.54/0.56 % (344458)Termination phase: Saturation
% 0.54/0.56 % (344458)Time elapsed: 0.102 s
% 0.54/0.56 % (344458)Peak memory usage: 13 MB
% 0.54/0.56 % (344458)Instructions burned: 159 (million)
% 0.54/0.56 % TRYING [5]
% 0.54/0.56 % (344490) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-344447-344490"...
% 0.54/0.56 % (344490)...printing done.
% 0.54/0.56 % (344490)Refutation found. Thanks to Tanya!
% 0.54/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.54/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.54/0.56 % (344490)------------------------------
% 0.54/0.56 % (344490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.56 % (344490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.56 % (344490)CaDiCaL version: 2.1.3
% 0.54/0.56 % (344490)Termination reason: Refutation
% 0.54/0.56 % (344490)Time elapsed: 0.025 s
% 0.54/0.56 % (344490)Peak memory usage: 11 MB
% 0.54/0.56 % (344490)Instructions burned: 41 (million)
% 0.54/0.56 % (344447)Success in time 0.14 s
% 0.54/0.56 % Vampire exiting
%------------------------------------------------------------------------------