%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS127+1 : TPTP v9.3.1. Released v3.1.0.
% 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 11:42:20 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 7 unt; 0 def)
% Number of atoms : 80 ( 8 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 78 ( 28 ~; 22 |; 18 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 45 ( 35 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cc(X1) )
& ? [X1] :
( rr(X0,X1)
& cd(X1) )
& ! [X2,X3] :
( ( rr(X0,X2)
& rr(X0,X3) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f16,axiom,
! [X0] :
( cc(X0)
=> cdxcomp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f17,axiom,
! [X0] :
( cd(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f18,axiom,
! [X0] :
( cdxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f19,axiom,
cUnsatisfiable(i2003_11_14_17_22_27794),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f20,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cc(X1) )
& ? [X2] :
( rr(X0,X2)
& cd(X2) )
& ! [X3,X4] :
( ( rr(X0,X3)
& rr(X0,X4) )
=> X3 = X4 ) ) ),
inference(rectify,[],[f15]) ).
fof(f45,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cc(X1) )
& ? [X2] :
( rr(X0,X2)
& cd(X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X3)
| ~ rr(X0,X4) ) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f46,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cc(X1) )
& ? [X2] :
( rr(X0,X2)
& cd(X2) )
& ! [X3,X4] :
( X3 = X4
| ~ rr(X0,X3)
| ~ rr(X0,X4) ) ) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0] :
( cdxcomp(X0)
| ~ cc(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f48,plain,
! [X0] :
( cd(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f65,plain,
! [X0] :
( cc(sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f66,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f70,plain,
! [X0] :
( cd(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f71,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f72,plain,
! [X3,X0,X4] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X3)
| X3 = X4
| ~ rr(X0,X4) ),
inference(cnf_transformation,[],[f46]) ).
fof(f73,plain,
! [X0] :
( cdxcomp(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f75,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f77,plain,
! [X0] :
( ~ cdxcomp(X0)
| ra_Px1(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f78,plain,
cUnsatisfiable(i2003_11_14_17_22_27794),
inference(cnf_transformation,[],[f19]) ).
fof(f92,plain,
rr(i2003_11_14_17_22_27794,sK3(i2003_11_14_17_22_27794)),
inference(resolution,[],[f66,f78]) ).
fof(f93,plain,
rr(i2003_11_14_17_22_27794,sK2(i2003_11_14_17_22_27794)),
inference(resolution,[],[f71,f78]) ).
fof(f96,plain,
! [X0] :
( ~ cc(X0)
| ra_Px1(X0,sK5(X0)) ),
inference(resolution,[],[f77,f73]) ).
fof(f97,plain,
! [X0] :
( ra_Px1(sK3(X0),sK5(sK3(X0)))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f96,f65]) ).
fof(f98,plain,
! [X0,X1] :
( ~ rr(i2003_11_14_17_22_27794,X0)
| ~ rr(i2003_11_14_17_22_27794,X1)
| X0 = X1 ),
inference(resolution,[],[f72,f78]) ).
fof(f101,plain,
! [X0] :
( ~ cd(sK3(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f97,f75]) ).
fof(f106,plain,
! [X0] :
( ~ rr(i2003_11_14_17_22_27794,X0)
| sK3(i2003_11_14_17_22_27794) = X0 ),
inference(resolution,[],[f98,f92]) ).
fof(f110,plain,
sK3(i2003_11_14_17_22_27794) = sK2(i2003_11_14_17_22_27794),
inference(resolution,[],[f106,f93]) ).
fof(f113,plain,
( ~ cd(sK2(i2003_11_14_17_22_27794))
| ~ cUnsatisfiable(i2003_11_14_17_22_27794) ),
inference(superposition,[],[f101,f110]) ).
fof(f118,plain,
~ cUnsatisfiable(i2003_11_14_17_22_27794),
inference(forward_subsumption_resolution,[],[f113,f70]) ).
fof(f119,plain,
$false,
inference(forward_subsumption_resolution,[],[f118,f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS127+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 13:23:05 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.16/0.46 % (2552035)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (2552040)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1066596782_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.46 % TRYING [1]
% 0.16/0.46 % TRYING [2]
% 0.16/0.46 % TRYING [3]
% 0.16/0.46 % TRYING [4]
% 0.16/0.46 % TRYING [5]
% 0.16/0.46 % TRYING [6]
% 0.16/0.46 % (2552041)% WARNING: option uhcvi not known.
% 0.16/0.46 % TRYING [7]
% 0.16/0.46 % TRYING [8]
% 0.16/0.46 % TRYING [9]
% 0.16/0.46 % TRYING [10]
% 0.16/0.46 % TRYING [11]
% 0.16/0.46 % (2552044)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1874931721:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.46 % (2552041)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1088803527:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.46 % (2552042)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3661463451:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.46 % (2552043)dis+10_1_sil=32000:sp=arity:random_seed=1683529937:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.46 % (2552046)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3632080244:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.46 % (2552045)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3348198583:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.46 % TRYING [12]
% 0.16/0.46 % (2552043) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2552035-2552043"...
% 0.16/0.46 % (2552044) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2552035-2552044"...
% 0.16/0.46 % (2552041) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2552035-2552041"...
% 0.16/0.46 % TRYING [13]
% 0.16/0.46 % (2552046) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2552035-2552046"...
% 0.16/0.46 % (2552044)...printing done.
% 0.16/0.46 % (2552045) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2552035-2552045"...
% 0.16/0.46 % (2552043)...printing done.
% 0.16/0.46 % (2552041)...printing done.
% 0.16/0.46 % TRYING [14]
% 0.16/0.46 % (2552044)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (2552044)------------------------------
% 0.16/0.46 % (2552044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (2552044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (2552044)CaDiCaL version: 2.1.3
% 0.16/0.46 % (2552044)Termination reason: Refutation
% 0.16/0.46 % (2552044)Time elapsed: 0.003 s
% 0.16/0.46 % (2552044)Peak memory usage: 12 MB
% 0.16/0.46 % (2552044)Instructions burned: 3 (million)
% 0.16/0.46 % (2552035)Success in time 0.04 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------