%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ037-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 12:32:01 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 6 unt; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-54 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',make_like_this) ).
fof(f2,axiom,
state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,g,g,g,o,o,o,y,y,y,r,r,r,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_with_this) ).
fof(f4,axiom,
! [X2,X21,X28,X39,X46,X49,X6,X9,X16,X27,X34,X53,X13,X20,X31,X38,X41,X48,X1,X8,X19,X26,X45,X52,X5,X12,X23,X30,X33,X40,X51,X0,X11,X18,X37,X44,X4,X15,X22,X25,X32,X43,X50,X3,X10,X29,X36,X47,X7,X14,X17,X24,X35,X42] :
( ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53)
| state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X24,X25,X26,X27,X28,X29,X30,X31,X32,X21,X22,X23,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mxy) ).
fof(f36,plain,
state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,o,o,o,y,y,y,r,r,r,g,g,g,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
inference(resolution,[],[f4,f2]) ).
fof(f40,plain,
state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,y,y,y,r,r,r,g,g,g,o,o,o,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
inference(resolution,[],[f36,f4]) ).
fof(f44,plain,
state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
inference(resolution,[],[f40,f4]) ).
fof(f46,plain,
$false,
inference(forward_subsumption_resolution,[],[f44,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ037-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n017.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 22:30:05 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.19/0.48 % (3002230)Will run a generic schedule for satisfiability detection.
% 0.19/0.48 % (3002248)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=737037900:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.48 % (3002245)% WARNING: option uhcvi not known.
% 0.19/0.48 % (3002244)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1234297934_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.48 % (3002250)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3024906611:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.48 % (3002245)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1942187436:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.48 % (3002246)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4214094692:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.48 % (3002247)dis+10_1_sil=32000:sp=arity:random_seed=3849831699:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.48 % (3002251)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4160614233:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.48 % (3002246) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3002230-3002246"...
% 0.19/0.48 % (3002251) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3002230-3002251"...
% 0.19/0.48 % (3002246)...printing done.
% 0.19/0.48 % (3002246)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (3002246)------------------------------
% 0.19/0.48 % (3002246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.48 % (3002246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.48 % (3002246)CaDiCaL version: 2.1.3
% 0.19/0.48 % (3002246)Termination reason: Refutation
% 0.19/0.48 % (3002246)Time elapsed: 0.004 s
% 0.19/0.48 % (3002246)Peak memory usage: 11 MB
% 0.19/0.48 % (3002246)Instructions burned: 6 (million)
% 0.19/0.48 % (3002230)Success in time 0.041 s
% 0.19/0.48 % Vampire exiting
%------------------------------------------------------------------------------