%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS100+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 11:41:39 AM UTC 2026
% Result : Unsatisfiable 3.69s 1.49s
% Output : Refutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 4 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 113 ( 49 ~; 37 |; 18 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 41 ( 36 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( rr(X0,X1)
=> ( ce(X1)
| ~ cd(X1) ) )
& ! [X1] :
( rr(X0,X1)
=> cd(X1) )
& ? [X1] :
( rr(X0,X1)
& ~ ce(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f5,axiom,
cUnsatisfiable(i2003_11_14_17_20_32704),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( rr(X0,X1)
=> ( ce(X1)
| ~ cd(X1) ) )
& ! [X2] :
( rr(X0,X2)
=> cd(X2) )
& ? [X3] :
( rr(X0,X3)
& ~ ce(X3) ) ) ),
inference(rectify,[],[f3]) ).
fof(f7,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( ! [X1] :
( rr(X0,X1)
=> ( ce(X1)
| ~ cd(X1) ) )
& ! [X2] :
( rr(X0,X2)
=> cd(X2) )
& ? [X3] :
( rr(X0,X3)
& ~ ce(X3) ) ) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f11,plain,
! [X0] :
( ( ! [X1] :
( ce(X1)
| ~ cd(X1)
| ~ rr(X0,X1) )
& ! [X2] :
( cd(X2)
| ~ rr(X0,X2) )
& ? [X3] :
( rr(X0,X3)
& ~ ce(X3) ) )
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f12,plain,
! [X0] :
( ( ! [X1] :
( ce(X1)
| ~ cd(X1)
| ~ rr(X0,X1) )
& ! [X2] :
( cd(X2)
| ~ rr(X0,X2) )
& ? [X3] :
( rr(X0,X3)
& ~ ce(X3) ) )
| ~ cUnsatisfiable(X0) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0] :
( ( ! [X1] :
( ce(X1)
| ~ cd(X1)
| ~ rr(X0,X1) )
& ! [X2] :
( cd(X2)
| ~ rr(X0,X2) )
& rr(X0,sK0(X0))
& ~ ce(sK0(X0)) )
| ~ cUnsatisfiable(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0))],[f12]) ).
fof(f14,plain,
! [X0] :
( ~ ce(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f15,plain,
! [X0] :
( rr(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f16,plain,
! [X2,X0] :
( cd(X2)
| ~ rr(X0,X2)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f17,plain,
! [X0,X1] :
( ~ cd(X1)
| ce(X1)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f18,plain,
cUnsatisfiable(i2003_11_14_17_20_32704),
inference(cnf_transformation,[],[f5]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ce(X0)
| ~ rr(X1,X0)
| ~ cUnsatisfiable(X1)
| ~ rr(X2,X0)
| ~ cUnsatisfiable(X2) ),
inference(resolution,[],[f17,f16]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ~ rr(X0,sK0(X1))
| ~ rr(X2,sK0(X1))
| ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X2)
| ~ cUnsatisfiable(X1) ),
inference(resolution,[],[f19,f14]) ).
fof(f23,plain,
! [X0,X1] :
( ~ rr(X0,sK0(X1))
| ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X1) ),
inference(factoring,[],[f20]) ).
fof(f24,plain,
! [X0,X1] :
( ~ rr(X0,sK0(X1))
| ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X1) ),
inference(duplicate_literal_removal,[],[f23]) ).
fof(f27,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f24,f15]) ).
fof(f28,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(duplicate_literal_removal,[],[f27]) ).
fof(f29,plain,
$false,
inference(resolution,[],[f28,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS100+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n017.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 13:18:05 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 3.69/1.49 % (2549620)Detected formulas, will run a generic FOF schedule.
% 3.69/1.49 % (2549629)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3386463280:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.69/1.49 % (2549629)Refutation not found, incomplete strategy
% 3.69/1.49 % (2549629)------------------------------
% 3.69/1.49 % (2549629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.49 % (2549629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.49 % (2549629)CaDiCaL version: 2.1.3
% 3.69/1.49 % (2549629)Termination reason: Refutation not found, incomplete strategy
% 3.69/1.49 % (2549629)Time elapsed: 0.0000 s
% 3.69/1.49 % (2549629)Peak memory usage: 86 MB
% 3.69/1.49 % (2549627)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=2998840107:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.69/1.49 % (2549625)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=2594751574:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.69/1.49 % (2549626)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=447625772:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.69/1.49 % (2549628)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3271714229:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.69/1.49 % (2549631)dis-21_1_sil=8000:lcm=predicate:random_seed=2728233222: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)
% 3.69/1.49 % (2549630)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2801643667:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.69/1.49 % (2549628)Refutation not found, incomplete strategy
% 3.69/1.49 % (2549628)------------------------------
% 3.69/1.49 % (2549628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.49 % (2549628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.49 % (2549628)CaDiCaL version: 2.1.3
% 3.69/1.49 % (2549628)Termination reason: Refutation not found, incomplete strategy
% 3.69/1.49 % (2549628)Time elapsed: 0.0000 s
% 3.69/1.49 % (2549628)Peak memory usage: 86 MB
% 3.69/1.49 % (2549631)First to succeed.
% 3.69/1.49 % (2549630)Also succeeded, but the first one will report.
% 3.69/1.49 % (2549631)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2549620"
% 3.69/1.49 % (2549629)------------------------------
% 3.69/1.49 % (2549629)------------------------------
% 3.69/1.49 % (2549639)lrs+10_1_sil=8000:sp=occurrence:random_seed=4016799363:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.69/1.49 % (2549639)Refutation not found, incomplete strategy
% 3.69/1.49 % (2549639)------------------------------
% 3.69/1.49 % (2549639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.49 % (2549639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.49 % (2549639)CaDiCaL version: 2.1.3
% 3.69/1.49 % (2549639)Termination reason: Refutation not found, incomplete strategy
% 3.69/1.49 % (2549639)Time elapsed: 0.0000 s
% 3.69/1.49 % (2549639)Peak memory usage: 86 MB
% 3.69/1.49 % (2549628)------------------------------
% 3.69/1.49 % (2549628)------------------------------
% 3.69/1.49 % (2549631)Refutation found. Thanks to Tanya!
% 3.69/1.49 % SZS status Unsatisfiable for theBenchmark
% 3.69/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.49 % (2549631)------------------------------
% 3.69/1.49 % (2549631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.49 % (2549631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.49 % (2549631)CaDiCaL version: 2.1.3
% 3.69/1.49 % (2549631)Termination reason: Refutation
% 3.69/1.49 % (2549631)Time elapsed: 0.002 s
% 3.69/1.49 % (2549631)Peak memory usage: 88 MB
% 3.69/1.49 % (2549631)Instructions burned: 1 (million)
% 3.69/1.49 % (2549631)------------------------------
% 3.69/1.49 % (2549631)------------------------------
% 3.69/1.49 % (2549620)Success in time 0.442 s
% 3.69/1.49 % Vampire exiting
%------------------------------------------------------------------------------