TSTP Solution File: KRS187+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : KRS187+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 10:15:48 EDT 2024
% Result : Theorem 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 10 ~; 6 |; 3 &)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 36 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f90,plain,
$false,
inference(subsumption_resolution,[],[f88,f86]) ).
fof(f86,plain,
! [X0] : model(X0,sK1(tac,thm)),
inference(resolution,[],[f84,f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,tac)
| model(X2,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( ! [X2] : model(X2,X1)
& ? [X3] : model(X3,X0) )
<=> status(X0,X1,tac) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ( ! [X3] : model(X3,X1)
& ? [X2] : model(X2,X0) )
<=> status(X0,X1,tac) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f84,plain,
status(sK0(tac,thm),sK1(tac,thm),tac),
inference(resolution,[],[f49,f48]) ).
fof(f48,plain,
~ isa(tac,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ isa(tac,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ isa(tac,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
isa(tac,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f49,plain,
! [X0,X1] :
( isa(X0,X1)
| status(sK0(X0,X1),sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( isa(X0,X1)
| ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
=> isa(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
<=> isa(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X6,X7] :
( ! [X0,X1] :
( status(X0,X1,X6)
=> status(X0,X1,X7) )
<=> isa(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f88,plain,
~ model(sK2(sK0(tac,thm),sK1(tac,thm)),sK1(tac,thm)),
inference(resolution,[],[f87,f52]) ).
fof(f52,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ model(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f87,plain,
~ status(sK0(tac,thm),sK1(tac,thm),thm),
inference(resolution,[],[f50,f48]) ).
fof(f50,plain,
! [X0,X1] :
( isa(X0,X1)
| ~ status(sK0(X0,X1),sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS187+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.04/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 13:47:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42 % (25374)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (25381)lrs+1011_1:13_sil=2000:tgt=full:sims=off:sp=occurrence:abs=on:newcnf=on:i=104:nm=4:ss=axioms:rawr=on:amm=off_0 on theBenchmark for (2999ds/104Mi)
% 0.20/0.42 % (25381)First to succeed.
% 0.20/0.42 % (25381)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25374"
% 0.20/0.42 % (25374)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (25378)lrs+21_8:1_to=lpo:sil=2000:sp=frequency:spb=units:s2a=on:s2pl=no:i=103:sd=2:ss=included:fsr=off:fs=off_0 on theBenchmark for (2999ds/103Mi)
% 0.20/0.42 % (25374)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (25380)lrs+10_8:1_to=lpo:drc=encompass:sil=4000:sos=on:urr=on:newcnf=on:i=116:sd=2:nm=2:ss=axioms:sgt=32:sup=off:bd=off_0 on theBenchmark for (2999ds/116Mi)
% 0.20/0.42 % (25374)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (25379)lrs+1011_4:1_to=lpo:drc=off:sil=8000:sp=frequency:abs=on:urr=on:lsd=10:nwc=5.0:s2agt=4:newcnf=on:st=5.0:s2a=on:i=107:ss=axioms:aac=none:br=off:bd=preordered_0 on theBenchmark for (2999ds/107Mi)
% 0.20/0.42 % (25374)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (25376)lrs+1011_4:1_sil=256000:rp=on:newcnf=on:i=257909:aac=none:gsp=on_0 on theBenchmark for (2999ds/257909Mi)
% 0.20/0.42 % (25374)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (25375)lrs+21_1:32_anc=all:to=lpo:sil=256000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:plsql=on:sac=on:newcnf=on:i=222662:add=off:fsr=off:rawr=on_0 on theBenchmark for (2999ds/222662Mi)
% 0.20/0.42 % (25374)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (25377)dis+1002_1:1_tgt=full:sos=on:rp=on:sac=on:i=258102:ss=axioms:sd=3:cond=fast:add=off:abs=on:fde=none:sil=256000_0 on theBenchmark for (2999ds/258102Mi)
% 0.20/0.42 % (25374)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (25381)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Theorem for theBenchmark
% 0.20/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.42 % (25381)------------------------------
% 0.20/0.42 % (25381)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.42 % (25381)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.42 % (25381)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (25381)Memory used [KB]: 1178
% 0.20/0.42 % (25381)Time elapsed: 0.005 s
% 0.20/0.42 % (25381)Instructions burned: 3 (million)
% 0.20/0.42 % (25381)------------------------------
% 0.20/0.42 % (25381)------------------------------
% 0.20/0.42 % (25374)Success in time 0.06 s
%------------------------------------------------------------------------------