%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS085+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 11:41:37 AM UTC 2026
% Result : Unsatisfiable 3.48s 1.43s
% Output : Refutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 145 ( 58 ~; 48 |; 34 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 60 ( 47 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& ? [X2] :
( rr(X1,X2)
& cp1(X2)
& ! [X3] :
( rinvR(X2,X3)
=> ~ cp1(X3) ) ) )
& cp1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f20,axiom,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( rr(X0,X1)
& rr(X1,X2) )
=> rr(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f22,axiom,
cUnsatisfiable(i2003_11_14_17_19_39537),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f51,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& ? [X2] :
( rr(X1,X2)
& cp1(X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) ) ) )
& cp1(X0) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f54,plain,
! [X0,X1,X2] :
( rr(X0,X2)
| ~ rr(X0,X1)
| ~ rr(X1,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f55,plain,
! [X0,X1,X2] :
( rr(X0,X2)
| ~ rr(X0,X1)
| ~ rr(X1,X2) ),
inference(flattening,[],[f54]) ).
fof(f57,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ! [X2] :
( ~ rr(X1,X2)
| ~ cp1(X2)
| ? [X3] :
( cp1(X3)
& rinvR(X2,X3) ) ) )
| ~ cp1(X0) )
& ( ( ? [X1] :
( rr(X0,X1)
& ? [X2] :
( rr(X1,X2)
& cp1(X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) ) ) )
& cp1(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f58,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ! [X2] :
( ~ rr(X1,X2)
| ~ cp1(X2)
| ? [X3] :
( cp1(X3)
& rinvR(X2,X3) ) ) )
| ~ cp1(X0) )
& ( ( ? [X1] :
( rr(X0,X1)
& ? [X2] :
( rr(X1,X2)
& cp1(X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) ) ) )
& cp1(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ! [X2] :
( ~ rr(X1,X2)
| ~ cp1(X2)
| ? [X3] :
( cp1(X3)
& rinvR(X2,X3) ) ) )
| ~ cp1(X0) )
& ( ( ? [X4] :
( rr(X0,X4)
& ? [X5] :
( rr(X4,X5)
& cp1(X5)
& ! [X6] :
( ~ cp1(X6)
| ~ rinvR(X5,X6) ) ) )
& cp1(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ! [X2] :
( ~ rr(X1,X2)
| ~ cp1(X2)
| ( cp1(sK0(X2))
& rinvR(X2,sK0(X2)) ) ) )
| ~ cp1(X0) )
& ( ( rr(X0,sK1(X0))
& rr(sK1(X0),sK2(X0))
& cp1(sK2(X0))
& ! [X6] :
( ~ cp1(X6)
| ~ rinvR(sK2(X0),X6) )
& cp1(X0) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK0(X2)),skolemize(X4,sK1(X0)),skolemize(X5,sK2(X0))],[f59]) ).
fof(f62,plain,
! [X0,X1] :
( ( rinvR(X0,X1)
| ~ rr(X1,X0) )
& ( rr(X1,X0)
| ~ rinvR(X0,X1) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f81,plain,
! [X0] :
( cp1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f82,plain,
! [X0,X6] :
( ~ cUnsatisfiable(X0)
| ~ rinvR(sK2(X0),X6)
| ~ cp1(X6) ),
inference(cnf_transformation,[],[f60]) ).
fof(f84,plain,
! [X0] :
( rr(sK1(X0),sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f85,plain,
! [X0] :
( rr(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f92,plain,
! [X0,X1] :
( rinvR(X0,X1)
| ~ rr(X1,X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f93,plain,
! [X2,X0,X1] :
( rr(X0,X2)
| ~ rr(X0,X1)
| ~ rr(X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f94,plain,
cUnsatisfiable(i2003_11_14_17_19_39537),
inference(cnf_transformation,[],[f22]) ).
fof(f109,plain,
! [X0] :
( ~ rinvR(sK2(i2003_11_14_17_19_39537),X0)
| ~ cp1(X0) ),
inference(resolution,[],[f82,f94]) ).
fof(f110,plain,
! [X0] :
( ~ cp1(X0)
| ~ rr(X0,sK2(i2003_11_14_17_19_39537)) ),
inference(resolution,[],[f109,f92]) ).
fof(f111,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,sK2(i2003_11_14_17_19_39537)) ),
inference(resolution,[],[f110,f81]) ).
fof(f114,plain,
~ rr(i2003_11_14_17_19_39537,sK2(i2003_11_14_17_19_39537)),
inference(resolution,[],[f111,f94]) ).
fof(f116,plain,
! [X0] :
( ~ rr(i2003_11_14_17_19_39537,X0)
| ~ rr(X0,sK2(i2003_11_14_17_19_39537)) ),
inference(resolution,[],[f114,f93]) ).
fof(f146,plain,
( ~ rr(sK1(i2003_11_14_17_19_39537),sK2(i2003_11_14_17_19_39537))
| ~ cUnsatisfiable(i2003_11_14_17_19_39537) ),
inference(resolution,[],[f116,f85]) ).
fof(f149,plain,
~ cUnsatisfiable(i2003_11_14_17_19_39537),
inference(forward_subsumption_resolution,[],[f146,f84]) ).
fof(f150,plain,
$false,
inference(forward_subsumption_resolution,[],[f149,f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS085+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 13:22:15 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.48/1.43 % (2036698)Detected formulas, will run a generic FOF schedule.
% 3.48/1.43 % (2036703)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=4056961640:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.48/1.43 % (2036707)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1430426751:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.48/1.43 % (2036707)Refutation not found, incomplete strategy
% 3.48/1.43 % (2036707)------------------------------
% 3.48/1.43 % (2036707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.43 % (2036707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.43 % (2036707)CaDiCaL version: 2.1.3
% 3.48/1.43 % (2036707)Termination reason: Refutation not found, incomplete strategy
% 3.48/1.43 % (2036707)Time elapsed: 0.0000 s
% 3.48/1.43 % (2036707)Peak memory usage: 86 MB
% 3.48/1.43 % (2036708)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3285164111:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.48/1.43 % (2036706)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3791458791:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.48/1.43 % (2036704)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=2440734964:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.48/1.43 % (2036705)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=2029639820:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.48/1.43 % (2036706)Refutation not found, incomplete strategy
% 3.48/1.43 % (2036706)------------------------------
% 3.48/1.43 % (2036706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.43 % (2036706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.43 % (2036706)CaDiCaL version: 2.1.3
% 3.48/1.43 % (2036706)Termination reason: Refutation not found, incomplete strategy
% 3.48/1.43 % (2036706)Time elapsed: 0.0000 s
% 3.48/1.43 % (2036706)Peak memory usage: 86 MB
% 3.48/1.43 % (2036708)First to succeed.
% 3.48/1.43 % (2036708)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2036698"
% 3.48/1.43 % (2036709)dis-21_1_sil=8000:lcm=predicate:random_seed=2848754832: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)
% 3.48/1.43 % (2036709)Also succeeded, but the first one will report.
% 3.48/1.43 % (2036707)------------------------------
% 3.48/1.43 % (2036707)------------------------------
% 3.48/1.43 % (2036706)------------------------------
% 3.48/1.43 % (2036706)------------------------------
% 3.48/1.43 % (2036708)Refutation found. Thanks to Tanya!
% 3.48/1.43 % SZS status Unsatisfiable for theBenchmark
% 3.48/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 3.48/1.43 % (2036708)------------------------------
% 3.48/1.43 % (2036708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.43 % (2036708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.43 % (2036708)CaDiCaL version: 2.1.3
% 3.48/1.43 % (2036708)Termination reason: Refutation
% 3.48/1.43 % (2036708)Time elapsed: 0.004 s
% 3.48/1.43 % (2036708)Peak memory usage: 89 MB
% 3.48/1.43 % (2036708)Instructions burned: 3 (million)
% 3.48/1.43 % (2036708)------------------------------
% 3.48/1.43 % (2036708)------------------------------
% 3.48/1.43 % (2036698)Success in time 0.408 s
% 3.48/1.43 % Vampire exiting
%------------------------------------------------------------------------------