%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS075+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 11:41:35 AM UTC 2026
% Result : Unsatisfiable 3.62s 1.48s
% Output : Refutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 8 unt; 0 def)
% Number of atoms : 144 ( 18 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 166 ( 64 ~; 60 |; 36 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 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 : 82 ( 67 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rf1(X0,X1)
& ~ cp(X1) )
& ? [X1] :
( rs(X0,X1)
& cowlThing(X1) )
& ? [X1] :
( rf(X0,X1)
& cp(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f23,axiom,
! [X0,X1,X2] :
( ( rf1(X0,X1)
& rf1(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f28,axiom,
cUnsatisfiable(i2003_11_14_17_19_02584),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f29,axiom,
! [X0,X1] :
( rs(X0,X1)
=> rf1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f30,axiom,
! [X0,X1] :
( rs(X0,X1)
=> rf(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f31,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rf1(X0,X1)
& ~ cp(X1) )
& ? [X2] :
( rs(X0,X2)
& cowlThing(X2) )
& ? [X3] :
( rf(X0,X3)
& cp(X3) ) ) ),
inference(rectify,[],[f21]) ).
fof(f68,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f69,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(flattening,[],[f68]) ).
fof(f70,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X1)
| ~ rf1(X0,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f71,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X1)
| ~ rf1(X0,X2) ),
inference(flattening,[],[f70]) ).
fof(f74,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f75,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f77,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf1(X0,X1)
| cp(X1) )
| ! [X2] :
( ~ rs(X0,X2)
| ~ cowlThing(X2) )
| ! [X3] :
( ~ rf(X0,X3)
| ~ cp(X3) ) )
& ( ( ? [X1] :
( rf1(X0,X1)
& ~ cp(X1) )
& ? [X2] :
( rs(X0,X2)
& cowlThing(X2) )
& ? [X3] :
( rf(X0,X3)
& cp(X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f78,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf1(X0,X1)
| cp(X1) )
| ! [X2] :
( ~ rs(X0,X2)
| ~ cowlThing(X2) )
| ! [X3] :
( ~ rf(X0,X3)
| ~ cp(X3) ) )
& ( ( ? [X1] :
( rf1(X0,X1)
& ~ cp(X1) )
& ? [X2] :
( rs(X0,X2)
& cowlThing(X2) )
& ? [X3] :
( rf(X0,X3)
& cp(X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf1(X0,X1)
| cp(X1) )
| ! [X2] :
( ~ rs(X0,X2)
| ~ cowlThing(X2) )
| ! [X3] :
( ~ rf(X0,X3)
| ~ cp(X3) ) )
& ( ( ? [X4] :
( rf1(X0,X4)
& ~ cp(X4) )
& ? [X5] :
( rs(X0,X5)
& cowlThing(X5) )
& ? [X6] :
( rf(X0,X6)
& cp(X6) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f78]) ).
fof(f80,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf1(X0,X1)
| cp(X1) )
| ! [X2] :
( ~ rs(X0,X2)
| ~ cowlThing(X2) )
| ! [X3] :
( ~ rf(X0,X3)
| ~ cp(X3) ) )
& ( ( rf1(X0,sK0(X0))
& ~ cp(sK0(X0))
& rs(X0,sK1(X0))
& cowlThing(sK1(X0))
& rf(X0,sK2(X0))
& cp(sK2(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X4,sK0(X0)),skolemize(X5,sK1(X0)),skolemize(X6,sK2(X0))],[f79]) ).
fof(f106,plain,
! [X0] :
( cp(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f107,plain,
! [X0] :
( rf(X0,sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f109,plain,
! [X0] :
( rs(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f110,plain,
! [X0] :
( ~ cp(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f111,plain,
! [X0] :
( rf1(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ rf(X0,X1)
| X1 = X2
| ~ rf(X0,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ rf1(X0,X1)
| X1 = X2
| ~ rf1(X0,X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f122,plain,
cUnsatisfiable(i2003_11_14_17_19_02584),
inference(cnf_transformation,[],[f28]) ).
fof(f123,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f124,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f145,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rf(X0,X1)
| sK2(X0) = X1 ),
inference(resolution,[],[f113,f107]) ).
fof(f148,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rf1(X0,X1)
| sK0(X0) = X1 ),
inference(resolution,[],[f114,f111]) ).
fof(f154,plain,
! [X0] :
( ~ rf(i2003_11_14_17_19_02584,X0)
| sK2(i2003_11_14_17_19_02584) = X0 ),
inference(resolution,[],[f145,f122]) ).
fof(f157,plain,
! [X0] :
( ~ rs(i2003_11_14_17_19_02584,X0)
| sK2(i2003_11_14_17_19_02584) = X0 ),
inference(resolution,[],[f154,f124]) ).
fof(f159,plain,
( sK2(i2003_11_14_17_19_02584) = sK1(i2003_11_14_17_19_02584)
| ~ cUnsatisfiable(i2003_11_14_17_19_02584) ),
inference(resolution,[],[f157,f109]) ).
fof(f161,plain,
sK2(i2003_11_14_17_19_02584) = sK1(i2003_11_14_17_19_02584),
inference(forward_subsumption_resolution,[],[f159,f122]) ).
fof(f165,plain,
( cp(sK1(i2003_11_14_17_19_02584))
| ~ cUnsatisfiable(i2003_11_14_17_19_02584) ),
inference(superposition,[],[f106,f161]) ).
fof(f166,plain,
cp(sK1(i2003_11_14_17_19_02584)),
inference(forward_subsumption_resolution,[],[f165,f122]) ).
fof(f168,plain,
! [X0] :
( ~ rf1(i2003_11_14_17_19_02584,X0)
| sK0(i2003_11_14_17_19_02584) = X0 ),
inference(resolution,[],[f148,f122]) ).
fof(f175,plain,
! [X0] :
( ~ rs(i2003_11_14_17_19_02584,X0)
| sK0(i2003_11_14_17_19_02584) = X0 ),
inference(resolution,[],[f168,f123]) ).
fof(f180,plain,
( sK1(i2003_11_14_17_19_02584) = sK0(i2003_11_14_17_19_02584)
| ~ cUnsatisfiable(i2003_11_14_17_19_02584) ),
inference(resolution,[],[f175,f109]) ).
fof(f182,plain,
sK1(i2003_11_14_17_19_02584) = sK0(i2003_11_14_17_19_02584),
inference(forward_subsumption_resolution,[],[f180,f122]) ).
fof(f185,plain,
cp(sK0(i2003_11_14_17_19_02584)),
inference(superposition,[],[f166,f182]) ).
fof(f189,plain,
~ cUnsatisfiable(i2003_11_14_17_19_02584),
inference(resolution,[],[f185,f110]) ).
fof(f190,plain,
$false,
inference(forward_subsumption_resolution,[],[f189,f122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS075+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:17:20 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.62/1.48 % (2548368)Detected formulas, will run a generic FOF schedule.
% 3.62/1.48 % (2548373)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=328923077:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.62/1.48 % (2548377)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3211610794:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.62/1.48 % (2548375)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1767657793:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.62/1.48 % (2548379)dis-21_1_sil=8000:lcm=predicate:random_seed=1228302897:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.62/1.48 % (2548376)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1153664998:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.62/1.48 % (2548374)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3392202246:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.62/1.48 % (2548378)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2194045681:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.62/1.48 % (2548377)Refutation not found, incomplete strategy
% 3.62/1.48 % (2548377)------------------------------
% 3.62/1.48 % (2548377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.48 % (2548377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.48 % (2548377)CaDiCaL version: 2.1.3
% 3.62/1.48 % (2548377)Termination reason: Refutation not found, incomplete strategy
% 3.62/1.48 % (2548377)Time elapsed: 0.0000 s
% 3.62/1.48 % (2548376)Refutation not found, incomplete strategy
% 3.62/1.48 % (2548376)------------------------------
% 3.62/1.48 % (2548376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.48 % (2548377)Peak memory usage: 86 MB
% 3.62/1.48 % (2548376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.48 % (2548376)CaDiCaL version: 2.1.3
% 3.62/1.48 % (2548376)Termination reason: Refutation not found, incomplete strategy
% 3.62/1.48 % (2548376)Time elapsed: 0.0000 s
% 3.62/1.48 % (2548376)Peak memory usage: 86 MB
% 3.62/1.48 % (2548379)Refutation not found, incomplete strategy
% 3.62/1.48 % (2548379)------------------------------
% 3.62/1.48 % (2548379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.48 % (2548379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.48 % (2548379)CaDiCaL version: 2.1.3
% 3.62/1.48 % (2548379)Termination reason: Refutation not found, incomplete strategy
% 3.62/1.48 % (2548379)Time elapsed: 0.002 s
% 3.62/1.48 % (2548379)Peak memory usage: 88 MB
% 3.62/1.48 % (2548379)Instructions burned: 2 (million)
% 3.62/1.48 % (2548378)First to succeed.
% 3.62/1.48 % (2548378)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2548368"
% 3.62/1.48 % (2548379)------------------------------
% 3.62/1.48 % (2548379)------------------------------
% 3.62/1.48 % (2548377)------------------------------
% 3.62/1.48 % (2548377)------------------------------
% 3.62/1.48 % (2548376)------------------------------
% 3.62/1.48 % (2548376)------------------------------
% 3.62/1.48 % (2548378)Refutation found. Thanks to Tanya!
% 3.62/1.48 % SZS status Unsatisfiable for theBenchmark
% 3.62/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.62/1.48 % (2548378)------------------------------
% 3.62/1.48 % (2548378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.48 % (2548378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.48 % (2548378)CaDiCaL version: 2.1.3
% 3.62/1.48 % (2548378)Termination reason: Refutation
% 3.62/1.48 % (2548378)Time elapsed: 0.005 s
% 3.62/1.48 % (2548378)Peak memory usage: 89 MB
% 3.62/1.48 % (2548378)Instructions burned: 5 (million)
% 3.62/1.48 % (2548378)------------------------------
% 3.62/1.48 % (2548378)------------------------------
% 3.62/1.48 % (2548368)Success in time 0.433 s
% 3.62/1.48 % Vampire exiting
%------------------------------------------------------------------------------