%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS087+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 : n011.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 2.62s 1.33s
% Output : Refutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 12 unt; 1 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 152 ( 61 ~; 51 |; 34 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 62 ( 0 sgn 49 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cp1(X0)
& ? [X1] :
( rr(X0,X1)
& ? [X2] :
( rr(X1,X2)
& ! [X3] :
( rinvR(X2,X3)
=> ~ cp1(X3) )
& cp1(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f20,axiom,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( rr(X0,X1)
& rr(X1,X2) )
=> rr(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f22,axiom,
cUnsatisfiable(i2003_11_14_17_19_46763),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f51,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cp1(X0)
& ? [X1] :
( rr(X0,X1)
& ? [X2] :
( rr(X1,X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2) ) ) ) ),
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)
| ~ cp1(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ! [X2] :
( ~ rr(X1,X2)
| ? [X3] :
( cp1(X3)
& rinvR(X2,X3) )
| ~ cp1(X2) ) ) )
& ( ( cp1(X0)
& ? [X1] :
( rr(X0,X1)
& ? [X2] :
( rr(X1,X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2) ) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f58,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ! [X2] :
( ~ rr(X1,X2)
| ? [X3] :
( cp1(X3)
& rinvR(X2,X3) )
| ~ cp1(X2) ) ) )
& ( ( cp1(X0)
& ? [X1] :
( rr(X0,X1)
& ? [X2] :
( rr(X1,X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2) ) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ! [X2] :
( ~ rr(X1,X2)
| ? [X3] :
( cp1(X3)
& rinvR(X2,X3) )
| ~ cp1(X2) ) ) )
& ( ( cp1(X0)
& ? [X4] :
( rr(X0,X4)
& ? [X5] :
( rr(X4,X5)
& ! [X6] :
( ~ cp1(X6)
| ~ rinvR(X5,X6) )
& cp1(X5) ) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ! [X2] :
( ~ rr(X1,X2)
| ( cp1(sK0(X2))
& rinvR(X2,sK0(X2)) )
| ~ cp1(X2) ) ) )
& ( ( cp1(X0)
& rr(X0,sK1(X0))
& rr(sK1(X0),sK2(X0))
& ! [X6] :
( ~ cp1(X6)
| ~ rinvR(sK2(X0),X6) )
& cp1(sK2(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(f82,plain,
! [X0,X6] :
( ~ rinvR(sK2(X0),X6)
| ~ cp1(X6)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f83,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(sK1(X0),sK2(X0)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f84,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f85,plain,
! [X0] :
( cp1(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_46763),
inference(cnf_transformation,[],[f22]) ).
fof(f114,plain,
rr(i2003_11_14_17_19_46763,sK1(i2003_11_14_17_19_46763)),
inference(resolution,[],[f84,f94]) ).
fof(f117,plain,
rr(sK1(i2003_11_14_17_19_46763),sK2(i2003_11_14_17_19_46763)),
inference(resolution,[],[f83,f94]) ).
fof(f118,plain,
! [X0,X1] :
( ~ cp1(X0)
| ~ cUnsatisfiable(X1)
| ~ rr(X0,sK2(X1)) ),
inference(resolution,[],[f82,f92]) ).
fof(f119,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X1)
| ~ rr(X1,sK2(X0)) ),
inference(resolution,[],[f118,f85]) ).
fof(f121,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,sK2(i2003_11_14_17_19_46763)) ),
inference(resolution,[],[f119,f94]) ).
fof(f124,plain,
~ rr(i2003_11_14_17_19_46763,sK2(i2003_11_14_17_19_46763)),
inference(resolution,[],[f121,f94]) ).
fof(f126,plain,
! [X0] :
( ~ rr(X0,sK2(i2003_11_14_17_19_46763))
| ~ rr(i2003_11_14_17_19_46763,X0) ),
inference(resolution,[],[f124,f93]) ).
fof(f140,plain,
~ rr(i2003_11_14_17_19_46763,sK1(i2003_11_14_17_19_46763)),
inference(resolution,[],[f126,f117]) ).
fof(f225,definition,
( spl4_9
<=> rr(i2003_11_14_17_19_46763,sK1(i2003_11_14_17_19_46763)) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f226,plain,
( ~ rr(i2003_11_14_17_19_46763,sK1(i2003_11_14_17_19_46763))
| spl4_9 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f242,plain,
( $false
| spl4_9 ),
inference(resolution,[],[f226,f114]) ).
fof(f244,plain,
spl4_9,
inference(avatar_contradiction_clause,[],[f242]) ).
fof(f277,plain,
~ spl4_9,
inference(avatar_split_clause,[],[f140,f225]) ).
cnf(s8,plain,
spl4_9,
inference(sat_conversion,[],[f244]) ).
cnf(s13,plain,
~ spl4_9,
inference(sat_conversion,[],[f277]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s8,s13]) ).
fof(f278,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS087+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 13:22:00 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.62/1.33 % (2407832)Detected formulas, will run a generic FOF schedule.
% 2.62/1.33 % (2407843)dis-21_1_sil=8000:lcm=predicate:random_seed=48933939: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)
% 2.62/1.33 % (2407843)First to succeed.
% 2.62/1.33 % (2407843)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2407832"
% 2.62/1.33 % (2407842)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=193597284:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.62/1.33 % (2407838)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=2089616349:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.62/1.33 % (2407840)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2606181953:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.62/1.33 % (2407841)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=846135540:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.62/1.33 % (2407837)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=2942158499:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.62/1.33 % (2407839)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=2335538768:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.62/1.33 % (2407841)Refutation not found, incomplete strategy
% 2.62/1.33 % (2407841)------------------------------
% 2.62/1.33 % (2407841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.33 % (2407841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.33 % (2407841)CaDiCaL version: 2.1.3
% 2.62/1.33 % (2407841)Termination reason: Refutation not found, incomplete strategy
% 2.62/1.33 % (2407841)Time elapsed: 0.0000 s
% 2.62/1.33 % (2407841)Peak memory usage: 86 MB
% 2.62/1.33 % (2407840)Refutation not found, incomplete strategy
% 2.62/1.33 % (2407840)------------------------------
% 2.62/1.33 % (2407840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.33 % (2407840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.33 % (2407840)CaDiCaL version: 2.1.3
% 2.62/1.33 % (2407840)Termination reason: Refutation not found, incomplete strategy
% 2.62/1.33 % (2407840)Time elapsed: 0.0000 s
% 2.62/1.33 % (2407840)Peak memory usage: 86 MB
% 2.62/1.33 % (2407842)Also succeeded, but the first one will report.
% 2.62/1.33 % (2407843)Refutation found. Thanks to Tanya!
% 2.62/1.33 % SZS status Unsatisfiable for theBenchmark
% 2.62/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.62/1.33 % (2407843)------------------------------
% 2.62/1.33 % (2407843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.33 % (2407843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.33 % (2407843)CaDiCaL version: 2.1.3
% 2.62/1.33 % (2407843)Termination reason: Refutation
% 2.62/1.33 % (2407843)Time elapsed: 0.003 s
% 2.62/1.33 % (2407843)Peak memory usage: 89 MB
% 2.62/1.33 % (2407843)Instructions burned: 6 (million)
% 2.62/1.33 % (2407843)------------------------------
% 2.62/1.33 % (2407843)------------------------------
% 2.62/1.33 % (2407832)Success in time 0.28 s
% 2.62/1.33 % Vampire exiting
%------------------------------------------------------------------------------