%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ030-2 : 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 : n002.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 12:31:58 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 39
% Syntax : Number of formulae : 40 ( 1 unt; 0 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 164 ( 71 ~; 93 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 11 ( 10 usr; 11 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
( ~ mustard_lang
| ~ mustard_cole
| ~ salt_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6) ).
fof(f7,axiom,
( ~ mustard_lang
| ~ salt_cole
| ~ mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c7) ).
fof(f9,axiom,
( ~ mustard_dix
| ~ mustard_lang
| ~ mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9) ).
fof(f10,axiom,
( ~ mustard_dix
| ~ mustard_lang
| ~ salt_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
fof(f11,axiom,
( ~ mustard_dix
| ~ salt_lang
| ~ mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
fof(f12,axiom,
( ~ mustard_dix
| ~ salt_lang
| ~ salt_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c12) ).
fof(f13,axiom,
( ~ salt_dix
| ~ mustard_barry
| mustard_cole ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c13) ).
fof(f14,axiom,
( ~ salt_dix
| ~ mustard_barry
| salt_cole ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c14) ).
fof(f15,axiom,
( ~ salt_dix
| ~ salt_barry
| mustard_cole ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c15) ).
fof(f17,axiom,
( ~ mustard_cole
| mustard_dix
| mustard_lang ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c17) ).
fof(f18,axiom,
( ~ mustard_cole
| mustard_dix
| salt_lang ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c18) ).
fof(f19,axiom,
( ~ mustard_cole
| salt_dix
| mustard_lang ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c19) ).
fof(f21,axiom,
( ~ mustard_barry
| ~ mustard_dix
| mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21) ).
fof(f22,axiom,
( ~ mustard_barry
| ~ mustard_dix
| salt_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c22) ).
fof(f25,axiom,
( salt_dix
| ~ mustard_dix
| mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c25) ).
fof(f26,axiom,
( ~ salt_dix
| mustard_dix
| mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c26) ).
fof(f27,axiom,
( salt_cole
| ~ mustard_cole
| mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c27) ).
fof(f28,axiom,
( ~ salt_cole
| mustard_cole
| mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c28) ).
fof(f29,axiom,
( ~ salt_lang
| ~ mustard_lang
| salt_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c29) ).
fof(f30,axiom,
( ~ salt_barry
| ~ mustard_barry
| salt_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c30) ).
fof(f34,axiom,
( ~ salt_barry
| mustard_barry
| salt_lang ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c34) ).
fof(f35,axiom,
( ~ salt_cole
| ~ mustard_cole
| salt_dix ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c35) ).
fof(f36,axiom,
( ~ salt_lang
| ~ mustard_lang
| mustard_cole ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c36) ).
fof(f37,axiom,
( ~ salt_dix
| ~ mustard_dix
| mustard_cole ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c37) ).
fof(f38,axiom,
( salt_barry
| ~ mustard_barry
| salt_cole ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c38) ).
fof(f40,axiom,
( ~ salt_mill
| ~ mustard_mill
| mustard_barry ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c40) ).
fof(f41,axiom,
( salt_lang
| ~ mustard_lang
| salt_barry ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c41) ).
fof(f43,axiom,
( salt_cole
| ~ mustard_cole
| salt_barry ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c43) ).
fof(f44,axiom,
( ~ salt_cole
| mustard_cole
| salt_barry ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c44) ).
fof(f45,axiom,
( ~ salt_cole
| ~ mustard_barry
| ~ salt_barry
| ~ mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c45) ).
fof(f48,axiom,
( ~ salt_cole
| salt_barry
| mustard_barry
| ~ salt_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c48) ).
fof(f49,axiom,
( ~ mustard_mill
| ~ mustard_cole
| ~ salt_cole
| ~ mustard_dix
| ~ salt_dix ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c49) ).
fof(f50,axiom,
( ~ mustard_mill
| salt_cole
| mustard_cole
| salt_dix
| mustard_dix ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c50) ).
fof(f55,axiom,
( ~ salt_barry
| ~ mustard_cole
| ~ salt_cole
| salt_lang
| mustard_lang ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c55) ).
fof(f56,axiom,
( salt_mill
| mustard_mill
| mustard_lang ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c56) ).
fof(f57,axiom,
( salt_cole
| mustard_cole
| mustard_lang ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c57) ).
fof(f58,axiom,
( salt_mill
| mustard_mill
| mustard_dix ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c58) ).
fof(f62,axiom,
( salt_dix
| mustard_dix
| mustard_barry ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c62) ).
fof(f63,negated_conjecture,
( salt_lang
| ~ mustard_barry
| ~ salt_barry
| ~ salt_mill
| ~ mustard_lang
| salt_cole
| mustard_cole
| salt_dix
| mustard_dix
| mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_who_takes_what) ).
fof(f73,plain,
$false,
inference(global_subsumption,[],[f6,f7,f9,f10,f11,f12,f13,f14,f15,f17,f18,f19,f21,f22,f25,f26,f27,f28,f29,f30,f34,f35,f36,f37,f38,f40,f41,f43,f44,f45,f48,f49,f50,f55,f56,f57,f58,f62,f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ030-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n002.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 22:33:36 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.45 % (3954326)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (3954336)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3981690073:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.45 % (3954331)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=255530418_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.45 % (3954335)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2642359724:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.45 % (3954333)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1665968410:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.45 % (3954334)dis+10_1_sil=32000:sp=arity:random_seed=924178639:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.45 % (3954337)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=26843080:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.45 % The problem is propositional so there are no sorts!
% 0.12/0.45 % TRYING []
% 0.12/0.45 % (3954331) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3954326-3954331"...
% 0.12/0.45 % (3954333) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3954326-3954333"...
% 0.12/0.45 % (3954336) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3954326-3954336"...
% 0.12/0.45 % (3954334) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3954326-3954334"...
% 0.12/0.45 % (3954335) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3954326-3954335"...
% 0.12/0.45 % (3954337) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3954326-3954337"...
% 0.12/0.45 % (3954333)...printing done.
% 0.12/0.45 % (3954331)...printing done.
% 0.12/0.45 % (3954336)...printing done.
% 0.12/0.45 % (3954334)...printing done.
% 0.12/0.45 % (3954335)...printing done.
% 0.12/0.45 % (3954337)...printing done.
% 0.12/0.45 % (3954333)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (3954333)------------------------------
% 0.12/0.45 % (3954333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (3954333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (3954333)CaDiCaL version: 2.1.3
% 0.12/0.45 % (3954333)Termination reason: Refutation
% 0.12/0.45 % (3954333)Time elapsed: 0.002 s
% 0.12/0.45 % (3954333)Peak memory usage: 11 MB
% 0.12/0.45 % (3954333)Instructions burned: 2 (million)
% 0.12/0.45 % (3954326)Success in time 0.038 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------