%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS115+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 : n008.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 11:42:18 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 62 ( 9 unt; 0 def)
% Number of atoms : 150 ( 20 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 138 ( 50 ~; 63 |; 13 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 94 ( 86 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f19,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rf2(X0,X1)
& cp2(X1) )
& ? [X1] :
( rf1(X0,X1)
& cp1(X1) )
& ? [X1] :
( rr(X0,X1)
& cowlThing(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f20,axiom,
! [X0] :
( cp1(X0)
=> cp2xcomp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f21,axiom,
! [X0] :
( cp2(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f22,axiom,
! [X0] :
( cp2xcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f23,axiom,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf1(X0,X1)
& rf1(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f24,axiom,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf2(X0,X1)
& rf2(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f25,axiom,
cUnsatisfiable(i2003_11_14_17_21_30578),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f26,axiom,
! [X0,X1] :
( rr(X0,X1)
=> rf2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f27,axiom,
! [X0,X1] :
( rr(X0,X1)
=> rf1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f28,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rf2(X0,X1)
& cp2(X1) )
& ? [X2] :
( rf1(X0,X2)
& cp1(X2) )
& ? [X3] :
( rr(X0,X3)
& cowlThing(X3) ) ) ),
inference(rectify,[],[f19]) ).
fof(f61,plain,
! [X0] :
( cp2xcomp(X0)
| ~ cp1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f62,plain,
! [X0] :
( cp2(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f63,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf1(X0,X1)
| ~ rf1(X0,X2) )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f64,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf1(X0,X1)
| ~ rf1(X0,X2) )
| ~ cowlThing(X0) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf2(X0,X1)
| ~ rf2(X0,X2) )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f66,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf2(X0,X1)
| ~ rf2(X0,X2) )
| ~ cowlThing(X0) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( rf2(X0,X1)
| ~ rr(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f68,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rr(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f86,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f17]) ).
fof(f89,plain,
! [X0] :
( cp2(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f90,plain,
! [X0] :
( rf2(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f92,plain,
! [X0] :
( cp1(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f93,plain,
! [X0] :
( rf1(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f95,plain,
! [X0] :
( rr(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f96,plain,
! [X0] :
( ~ cp1(X0)
| cp2xcomp(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f98,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cp2(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f100,plain,
! [X0] :
( ra_Px1(X0,sK4(X0))
| ~ cp2xcomp(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ cowlThing(X0)
| ~ rf1(X0,X2)
| ~ rf1(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f64]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ cowlThing(X0)
| ~ rf2(X0,X2)
| ~ rf2(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f66]) ).
fof(f103,plain,
cUnsatisfiable(i2003_11_14_17_21_30578),
inference(cnf_transformation,[],[f25]) ).
fof(f104,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rf2(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f105,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| rf1(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f131,plain,
! [X0] :
( rr(X0,sK0(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f95]) ).
fof(f133,plain,
! [X0] :
( rf1(X0,sK1(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f93]) ).
fof(f134,plain,
! [X0] :
( ~ cp1(sK1(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f136,plain,
! [X0] :
( ~ rf2(X0,sK2(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f90]) ).
fof(f137,plain,
! [X0] :
( cp2(sK2(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f89]) ).
fof(f138,plain,
! [X0] :
( cp2xcomp(X0)
| cp1(X0) ),
inference(consistent_polarity_flipping,[],[f96]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ cowlThing(X0)
| rf2(X0,X2)
| rf2(X0,X1)
| X1 = X2 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f140,plain,
~ cUnsatisfiable(i2003_11_14_17_21_30578),
inference(consistent_polarity_flipping,[],[f103]) ).
fof(f141,plain,
! [X0,X1] :
( ~ rf2(X0,X1)
| ~ rr(X0,X1) ),
inference(consistent_polarity_flipping,[],[f104]) ).
fof(f145,plain,
! [X0] :
( ~ cp2(X0)
| ~ cp2xcomp(X0) ),
inference(resolution,[],[f100,f98]) ).
fof(f146,plain,
! [X0] :
( ~ cp2xcomp(sK2(X0))
| cUnsatisfiable(X0) ),
inference(resolution,[],[f145,f137]) ).
fof(f147,plain,
! [X0] :
( rf1(X0,sK0(X0))
| cUnsatisfiable(X0) ),
inference(resolution,[],[f131,f105]) ).
fof(f149,plain,
! [X0] :
( cp1(sK2(X0))
| cUnsatisfiable(X0) ),
inference(resolution,[],[f146,f138]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ rf1(X0,X1)
| ~ rf1(X0,X2)
| X1 = X2 ),
inference(forward_subsumption_resolution,[],[f101,f86]) ).
fof(f151,plain,
! [X0,X1] :
( ~ rf1(X0,X1)
| sK1(X0) = X1
| cUnsatisfiable(X0) ),
inference(resolution,[],[f150,f133]) ).
fof(f153,plain,
! [X2,X0,X1] :
( rf2(X0,X2)
| rf2(X0,X1)
| X1 = X2 ),
inference(forward_subsumption_resolution,[],[f139,f86]) ).
fof(f154,plain,
! [X0,X1] :
( rf2(X0,X1)
| sK2(X0) = X1
| cUnsatisfiable(X0) ),
inference(resolution,[],[f153,f136]) ).
fof(f161,plain,
! [X0] :
( sK0(X0) = sK1(X0)
| cUnsatisfiable(X0)
| cUnsatisfiable(X0) ),
inference(resolution,[],[f151,f147]) ).
fof(f162,plain,
! [X0] :
( cUnsatisfiable(X0)
| sK0(X0) = sK1(X0) ),
inference(duplicate_literal_removal,[],[f161]) ).
fof(f164,plain,
sK0(i2003_11_14_17_21_30578) = sK1(i2003_11_14_17_21_30578),
inference(resolution,[],[f162,f140]) ).
fof(f167,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| cUnsatisfiable(X0)
| sK2(X0) = X1 ),
inference(resolution,[],[f154,f141]) ).
fof(f171,plain,
( ~ cp1(sK0(i2003_11_14_17_21_30578))
| cUnsatisfiable(i2003_11_14_17_21_30578) ),
inference(superposition,[],[f134,f164]) ).
fof(f172,plain,
~ cp1(sK0(i2003_11_14_17_21_30578)),
inference(forward_subsumption_resolution,[],[f171,f140]) ).
fof(f177,plain,
! [X0] :
( cUnsatisfiable(X0)
| sK0(X0) = sK2(X0)
| cUnsatisfiable(X0) ),
inference(resolution,[],[f167,f131]) ).
fof(f178,plain,
! [X0] :
( cUnsatisfiable(X0)
| sK0(X0) = sK2(X0) ),
inference(duplicate_literal_removal,[],[f177]) ).
fof(f179,plain,
sK0(i2003_11_14_17_21_30578) = sK2(i2003_11_14_17_21_30578),
inference(resolution,[],[f178,f140]) ).
fof(f185,plain,
( cp1(sK0(i2003_11_14_17_21_30578))
| cUnsatisfiable(i2003_11_14_17_21_30578) ),
inference(superposition,[],[f149,f179]) ).
fof(f190,plain,
cUnsatisfiable(i2003_11_14_17_21_30578),
inference(forward_subsumption_resolution,[],[f185,f172]) ).
fof(f192,plain,
$false,
inference(forward_subsumption_resolution,[],[f190,f140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS115+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n008.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 13:26:39 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
% 0.13/0.44 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
% 0.19/0.49 % (1225304)Will run a generic schedule for satisfiability detection.
% 0.19/0.49 % (1225310)% WARNING: option uhcvi not known.
% 0.19/0.49 % (1225312)dis+10_1_sil=32000:sp=arity:random_seed=1005554802:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.49 % (1225309)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=113285114_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.49 % (1225310)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1342727559:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.49 % (1225311)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1057078633:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.49 % (1225315)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=995687304:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.49 % (1225313)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2247262553:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.49 % (1225314)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1744380626:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.49 % TRYING [1]
% 0.19/0.49 % TRYING [2]
% 0.19/0.49 % TRYING [3]
% 0.19/0.49 % TRYING [4]
% 0.19/0.49 % (1225312) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1225304-1225312"...
% 0.19/0.49 % (1225310) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1225304-1225310"...
% 0.19/0.49 % (1225315) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1225304-1225315"...
% 0.19/0.49 % TRYING [5]
% 0.19/0.49 % (1225313) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1225304-1225313"...
% 0.19/0.49 % (1225314) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1225304-1225314"...
% 0.19/0.49 % TRYING [6]
% 0.19/0.49 % (1225310)...printing done.
% 0.19/0.49 % (1225312)...printing done.
% 0.19/0.49 % (1225313)...printing done.
% 0.19/0.49 % (1225315)...printing done.
% 0.19/0.49 % (1225310)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (1225310)------------------------------
% 0.19/0.49 % (1225310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.49 % (1225310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.49 % (1225310)CaDiCaL version: 2.1.3
% 0.19/0.49 % (1225310)Termination reason: Refutation
% 0.19/0.49 % (1225310)Time elapsed: 0.004 s
% 0.19/0.49 % (1225310)Peak memory usage: 12 MB
% 0.19/0.49 % (1225310)Instructions burned: 4 (million)
% 0.19/0.49 % (1225304)Success in time 0.041 s
% 0.19/0.49 % Vampire exiting
%------------------------------------------------------------------------------