%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL355-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 11:58:25 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.52s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 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,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(implies(implies(x,y),implies(z,y)),u),implies(implies(z,x),u))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_04) ).
fof(f17,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f18,plain,
~ is_a_theorem(implies(implies(z,x),implies(implies(x,y),implies(z,y)))),
inference(resolution,[],[f17,f5]) ).
fof(f20,plain,
$false,
inference(resolution,[],[f18,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL355-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.45 % Computer : n009.cluster.edu
% 0.13/0.45 % Model : x86_64 x86_64
% 0.13/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.45 % Memory : 8046.5625MB
% 0.13/0.45 % OS : Linux 6.8.0-71-generic
% 0.13/0.45 % CPULimit : 300
% 0.13/0.45 % WCLimit : 300
% 0.13/0.45 % DateTime : Sun Sep 27 15:36:00 UTC 2026
% 0.13/0.45 % CPUTime :
% 0.13/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.49 Running first-order model finding
% 0.13/0.49 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
% 0.16/0.52 % (2185242)Will run a generic schedule for satisfiability detection.
% 0.16/0.52 % (2185252)% WARNING: option uhcvi not known.
% 0.16/0.52 % (2185258)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2107139359:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.52 % (2185258) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2185242-2185258"...
% 0.16/0.52 % (2185251)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=571325960_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.52 % (2185257)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3633005784:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.52 % (2185252)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=703888525:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.52 % (2185258)...printing done.
% 0.16/0.52 % (2185256)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3530822678:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.52 % (2185258)Refutation found. Thanks to Tanya!
% 0.16/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.52 % (2185258)------------------------------
% 0.16/0.52 % (2185258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.52 % (2185258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.52 % (2185258)CaDiCaL version: 2.1.3
% 0.16/0.52 % (2185258)Termination reason: Refutation
% 0.16/0.52 % (2185258)Time elapsed: 0.001 s
% 0.16/0.52 % (2185258)Peak memory usage: 11 MB
% 0.16/0.52 % (2185242)Success in time 0.03 s
% 0.16/0.52 % Vampire exiting
%------------------------------------------------------------------------------