%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS125+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 : n015.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 11:41:42 AM UTC 2026
% Result : Unsatisfiable 0.17s 1.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 4 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 31 ~; 20 |; 3 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 37 ( 32 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ce3(X0)
& cf(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cc(X0)
=> cdxcomp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f7,axiom,
! [X0] :
( cd(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( cdxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f11,axiom,
! [X0] :
( ce3(X0)
=> cc(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f12,axiom,
! [X0] :
( cf(X0)
=> cd(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f13,axiom,
cUnsatisfiable(i2003_11_14_17_22_17947),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f14,plain,
! [X0] :
( cd(X0)
=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f17,plain,
! [X0] :
( cdxcomp(X0)
=> ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f18,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( ce3(X0)
& cf(X0) ) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f25,plain,
! [X0] :
( ( ce3(X0)
& cf(X0) )
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f26,plain,
! [X0] :
( cdxcomp(X0)
| ~ cc(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f27,plain,
! [X0] :
( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f28,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
| ~ cdxcomp(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f29,plain,
! [X0] :
( cc(X0)
| ~ ce3(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0] :
( cd(X0)
| ~ cf(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f31,plain,
! [X0] :
( ra_Px1(X0,sK0(X0))
| ~ cdxcomp(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f28]) ).
fof(f32,plain,
! [X0] :
( cf(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f33,plain,
! [X0] :
( ce3(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f34,plain,
! [X0] :
( cdxcomp(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f35,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f36,plain,
! [X0] :
( ra_Px1(X0,sK0(X0))
| ~ cdxcomp(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f37,plain,
! [X0] :
( cc(X0)
| ~ ce3(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f38,plain,
! [X0] :
( cd(X0)
| ~ cf(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f39,plain,
cUnsatisfiable(i2003_11_14_17_22_17947),
inference(cnf_transformation,[],[f13]) ).
fof(f40,plain,
! [X0] :
( ~ cd(X0)
| ~ cdxcomp(X0) ),
inference(resolution,[],[f36,f35]) ).
fof(f41,plain,
! [X0] :
( ~ cdxcomp(X0)
| ~ cf(X0) ),
inference(resolution,[],[f40,f38]) ).
fof(f42,plain,
! [X0] :
( ~ cc(X0)
| ~ cf(X0) ),
inference(resolution,[],[f41,f34]) ).
fof(f43,plain,
! [X0] :
( ~ cf(X0)
| ~ ce3(X0) ),
inference(resolution,[],[f42,f37]) ).
fof(f44,plain,
! [X0] :
( ~ ce3(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f43,f32]) ).
fof(f45,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f44,f33]) ).
fof(f46,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(duplicate_literal_removal,[],[f45]) ).
fof(f47,plain,
$false,
inference(resolution,[],[f46,f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS125+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 13:30:46 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.17/1.50 % (1676828)Detected formulas, will run a generic FOF schedule.
% 0.17/1.50 % (1676836)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1970376139:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.17/1.50 % (1676836)Refutation not found, incomplete strategy
% 0.17/1.50 % (1676836)------------------------------
% 0.17/1.50 % (1676836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (1676836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (1676836)CaDiCaL version: 2.1.3
% 0.17/1.50 % (1676836)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.50 % (1676836)Time elapsed: 0.0000 s
% 0.17/1.50 % (1676836)Peak memory usage: 86 MB
% 0.17/1.50 % (1676835)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=817708750:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.17/1.50 % (1676833)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=1041617003:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.17/1.50 % (1676834)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=169834751:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.17/1.50 % (1676837)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=665432774:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.17/1.50 % (1676839)dis-21_1_sil=8000:lcm=predicate:random_seed=2011106032: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)
% 0.17/1.50 % (1676837)Refutation not found, incomplete strategy
% 0.17/1.50 % (1676837)------------------------------
% 0.17/1.50 % (1676837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (1676837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (1676837)CaDiCaL version: 2.1.3
% 0.17/1.50 % (1676837)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.50 % (1676837)Time elapsed: 0.0000 s
% 0.17/1.50 % (1676837)Peak memory usage: 86 MB
% 0.17/1.50 % (1676839)First to succeed.
% 0.17/1.50 % (1676839)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1676828"
% 0.17/1.50 % (1676838)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=460775138:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.17/1.50 % (1676838)Also succeeded, but the first one will report.
% 0.17/1.50 % (1676836)------------------------------
% 0.17/1.50 % (1676836)------------------------------
% 0.17/1.50 % (1676837)------------------------------
% 0.17/1.50 % (1676837)------------------------------
% 0.17/1.50 % (1676847)lrs+10_1_sil=8000:sp=occurrence:random_seed=1940304424:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 0.17/1.50 % (1676847)Refutation not found, incomplete strategy
% 0.17/1.50 % (1676847)------------------------------
% 0.17/1.50 % (1676847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (1676847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (1676847)CaDiCaL version: 2.1.3
% 0.17/1.50 % (1676847)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.50 % (1676847)Time elapsed: 0.0000 s
% 0.17/1.50 % (1676847)Peak memory usage: 86 MB
% 0.17/1.50 % (1676839)Refutation found. Thanks to Tanya!
% 0.17/1.50 % SZS status Unsatisfiable for theBenchmark
% 0.17/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.50 % (1676839)------------------------------
% 0.17/1.50 % (1676839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (1676839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (1676839)CaDiCaL version: 2.1.3
% 0.17/1.50 % (1676839)Termination reason: Refutation
% 0.17/1.50 % (1676839)Time elapsed: 0.002 s
% 0.17/1.50 % (1676839)Peak memory usage: 88 MB
% 0.17/1.50 % (1676839)Instructions burned: 1 (million)
% 0.17/1.50 % (1676839)------------------------------
% 0.17/1.50 % (1676839)------------------------------
% 0.17/1.50 % (1676828)Success in time 0.437 s
% 0.17/1.50 % Vampire exiting
%------------------------------------------------------------------------------