%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS001-1 : TPTP v9.3.1. Released v2.0.0.
% 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 11:42:03 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 43 ( 24 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
e(exist),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,axiom,
! [X0] :
( ~ c(X0)
| r2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f4,axiom,
! [X0] :
( ~ equalish(u1r2(X0),u1r1(X0))
| ~ r2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,axiom,
! [X0] :
( r(X0,u1r1(X0))
| ~ r2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,axiom,
! [X0] :
( r(X0,u1r2(X0))
| ~ r2least(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f8,axiom,
! [X0] :
( ~ d(X0)
| r1most(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ r(X2,X1)
| ~ r1most(X2)
| ~ r(X2,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f14,axiom,
! [X0] :
( ~ e(X0)
| d(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
fof(f15,axiom,
! [X0] :
( ~ e(X0)
| c(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
fof(f48,plain,
d(exist),
inference(resolution,[],[f14,f1]) ).
fof(f51,plain,
r1most(exist),
inference(resolution,[],[f48,f8]) ).
fof(f136,plain,
c(exist),
inference(resolution,[],[f15,f1]) ).
fof(f137,plain,
r2least(exist),
inference(resolution,[],[f136,f2]) ).
fof(f144,plain,
! [X0,X1] :
( equalish(X1,u1r1(X0))
| ~ r1most(X0)
| ~ r(X0,X1)
| ~ r2least(X0) ),
inference(resolution,[],[f5,f10]) ).
fof(f176,plain,
! [X0] :
( ~ r1most(X0)
| ~ r(X0,u1r2(X0))
| ~ r2least(X0)
| ~ r2least(X0) ),
inference(resolution,[],[f144,f4]) ).
fof(f177,plain,
! [X0] :
( ~ r1most(X0)
| ~ r(X0,u1r2(X0))
| ~ r2least(X0) ),
inference(duplicate_literal_removal,[],[f176]) ).
fof(f182,plain,
! [X0] :
( ~ r1most(X0)
| ~ r2least(X0) ),
inference(forward_subsumption_resolution,[],[f177,f6]) ).
fof(f188,plain,
~ r2least(exist),
inference(resolution,[],[f182,f51]) ).
fof(f189,plain,
$false,
inference(forward_subsumption_resolution,[],[f188,f137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS001-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 13:14:45 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (2032184)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (2032195)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=160323920:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (2032194)% WARNING: option uhcvi not known.
% 0.11/0.45 % (2032195) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2032184-2032195"...
% 0.11/0.45 % (2032195)...printing done.
% 0.11/0.45 % (2032193)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2304370663_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (2032194)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2319743390:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % (2032196)dis+10_1_sil=32000:sp=arity:random_seed=294529687:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (2032197)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1867273838:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (2032198)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2215973650:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.46 % TRYING [1]
% 0.11/0.46 % TRYING [2]
% 0.11/0.46 % (2032199)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1918263513:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.46 % TRYING [3]
% 0.11/0.46 % TRYING [4]
% 0.11/0.46 % (2032196) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2032184-2032196"...
% 0.11/0.46 % (2032193) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2032184-2032193"...
% 0.11/0.46 % (2032194) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2032184-2032194"...
% 0.11/0.46 % (2032198) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2032184-2032198"...
% 0.11/0.46 % (2032197) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2032184-2032197"...
% 0.11/0.46 % (2032195)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (2032195)------------------------------
% 0.11/0.46 % (2032195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (2032195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (2032195)CaDiCaL version: 2.1.3
% 0.11/0.46 % (2032195)Termination reason: Refutation
% 0.11/0.46 % (2032195)Time elapsed: 0.004 s
% 0.11/0.46 % (2032195)Peak memory usage: 11 MB
% 0.11/0.46 % (2032195)Instructions burned: 4 (million)
% 0.11/0.46 % (2032184)Success in time 0.034 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------