%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS126+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 : n003.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 11:41:43 AM UTC 2026
% Result : Unsatisfiable 2.75s 1.37s
% Output : Refutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 4 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 35 ( 18 ~; 11 |; 0 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 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 : 25 ( 20 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> cd1xcomp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> cd1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f8,axiom,
! [X0] :
( cd1(X0)
<=> ? [X1] : ra_Px2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
! [X0] :
( cd1xcomp(X0)
<=> ~ ? [X1] : ra_Px2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f12,axiom,
cUnsatisfiable(i2003_11_14_17_22_23554),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f15,plain,
! [X0] :
( cd1(X0)
=> ? [X1] : ra_Px2(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f16,plain,
! [X0] :
( cd1xcomp(X0)
=> ~ ? [X1] : ra_Px2(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f9]) ).
fof(f24,plain,
! [X0] :
( cd1xcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f25,plain,
! [X0] :
( cd1(X0)
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f26,plain,
! [X0] :
( ? [X1] : ra_Px2(X0,X1)
| ~ cd1(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f27,plain,
! [X0] :
( ! [X1] : ~ ra_Px2(X0,X1)
| ~ cd1xcomp(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f28,plain,
! [X0] :
( ra_Px2(X0,sK0(X0))
| ~ cd1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f26]) ).
fof(f29,plain,
! [X0] :
( cd1xcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f30,plain,
! [X0] :
( cd1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f31,plain,
! [X0] :
( ra_Px2(X0,sK0(X0))
| ~ cd1(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f32,plain,
! [X0,X1] :
( ~ ra_Px2(X0,X1)
| ~ cd1xcomp(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f33,plain,
cUnsatisfiable(i2003_11_14_17_22_23554),
inference(cnf_transformation,[],[f12]) ).
fof(f34,plain,
! [X0] :
( ~ cd1(X0)
| ~ cd1xcomp(X0) ),
inference(resolution,[],[f31,f32]) ).
fof(f35,plain,
! [X0] :
( ~ cd1xcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f34,f30]) ).
fof(f36,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(forward_subsumption_resolution,[],[f35,f29]) ).
fof(f37,plain,
$false,
inference(resolution,[],[f36,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS126+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n003.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 13:29:26 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 2.75/1.37 % (532850)Detected formulas, will run a generic FOF schedule.
% 2.75/1.37 % (532860)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3824477916:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.75/1.37 % (532858)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1343328637:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.75/1.37 % (532856)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=2757185124:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.75/1.37 % (532857)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=1850681627:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.75/1.37 % (532855)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=1519121185:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.75/1.37 % (532860)First to succeed.
% 2.75/1.37 % (532858)Refutation not found, incomplete strategy
% 2.75/1.37 % (532858)------------------------------
% 2.75/1.37 % (532858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.37 % (532858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.37 % (532858)CaDiCaL version: 2.1.3
% 2.75/1.37 % (532858)Termination reason: Refutation not found, incomplete strategy
% 2.75/1.37 % (532858)Time elapsed: 0.0000 s
% 2.75/1.37 % (532860)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-532850"
% 2.75/1.37 % (532858)Peak memory usage: 86 MB
% 2.75/1.37 % (532859)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=836811966:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.75/1.37 % (532859)Refutation not found, incomplete strategy
% 2.75/1.37 % (532859)------------------------------
% 2.75/1.37 % (532859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.37 % (532859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.37 % (532859)CaDiCaL version: 2.1.3
% 2.75/1.37 % (532859)Termination reason: Refutation not found, incomplete strategy
% 2.75/1.37 % (532859)Time elapsed: 0.0000 s
% 2.75/1.37 % (532859)Peak memory usage: 86 MB
% 2.75/1.37 % (532861)dis-21_1_sil=8000:lcm=predicate:random_seed=3374933726: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)
% 2.75/1.37 % (532861)Also succeeded, but the first one will report.
% 2.75/1.37 % (532860)Refutation found. Thanks to Tanya!
% 2.75/1.37 % SZS status Unsatisfiable for theBenchmark
% 2.75/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 2.75/1.37 % (532860)------------------------------
% 2.75/1.37 % (532860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.37 % (532860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.37 % (532860)CaDiCaL version: 2.1.3
% 2.75/1.37 % (532860)Termination reason: Refutation
% 2.75/1.37 % (532860)Time elapsed: 0.001 s
% 2.75/1.37 % (532860)Peak memory usage: 88 MB
% 2.75/1.37 % (532860)Instructions burned: 1 (million)
% 2.75/1.37 % (532860)------------------------------
% 2.75/1.37 % (532860)------------------------------
% 2.75/1.37 % (532850)Success in time 0.309 s
% 2.75/1.37 % Vampire exiting
%------------------------------------------------------------------------------