TSTP Solution File: KRS124+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS124+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n021.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 : Wed Aug 31 17:29:46 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 5 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 90 ( 35 ~; 24 |; 13 &)
% ( 6 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 61 ( 47 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,plain,
$false,
inference(resolution,[],[f57,f50]) ).
fof(f50,plain,
cUnsatisfiable(i2003_11_14_17_22_10903),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
cUnsatisfiable(i2003_11_14_17_22_10903),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f57,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(duplicate_literal_removal,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f55,f48]) ).
fof(f48,plain,
! [X0] :
( rr(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ( ! [X1] :
( ca_Ax3(X1)
| ~ rr(X0,X1) )
& rr(X0,sK1(X0)) )
| ~ cUnsatisfiable(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f40,f41]) ).
fof(f41,plain,
! [X0] :
( ? [X2] : rr(X0,X2)
=> rr(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0] :
( ( ! [X1] :
( ca_Ax3(X1)
| ~ rr(X0,X1) )
& ? [X2] : rr(X0,X2) )
| ~ cUnsatisfiable(X0) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ( ! [X2] :
( ca_Ax3(X2)
| ~ rr(X0,X2) )
& ? [X1] : rr(X0,X1) )
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( ! [X2] :
( rr(X0,X2)
=> ca_Ax3(X2) )
& ? [X1] : rr(X0,X1) ) ),
inference(pure_predicate_removal,[],[f21]) ).
fof(f21,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( ! [X2] :
( rr(X0,X2)
=> ca_Ax3(X2) )
& ? [X1] :
( rr(X0,X1)
& cowlThing(X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ( ! [X2] :
( rr(X0,X2)
=> ca_Ax3(X2) )
& ? [X1] :
( rr(X0,X1)
& cowlThing(X1) ) )
<=> cUnsatisfiable(X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ( ? [X1] :
( rr(X0,X1)
& cowlThing(X1) )
& ! [X1] :
( rr(X0,X1)
=> ca_Ax3(X1) ) )
<=> cUnsatisfiable(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f55,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(subsumption_resolution,[],[f49,f54]) ).
fof(f54,plain,
! [X0] : ~ ca_Ax3(X0),
inference(subsumption_resolution,[],[f53,f44]) ).
fof(f44,plain,
! [X0] :
( cc(X0)
| ~ ca_Ax3(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ( cc(X0)
& cd(X0) )
| ~ ca_Ax3(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ca_Ax3(X0)
=> ( cc(X0)
& cd(X0) ) ),
inference(unused_predicate_definition_removal,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ca_Ax3(X0)
<=> ( cc(X0)
& cd(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f53,plain,
! [X0] :
( ~ cc(X0)
| ~ ca_Ax3(X0) ),
inference(resolution,[],[f52,f45]) ).
fof(f45,plain,
! [X0] :
( cdxcomp(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( cdxcomp(X0)
| ~ cc(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( cc(X0)
=> cdxcomp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f52,plain,
! [X0] :
( ~ cdxcomp(X0)
| ~ ca_Ax3(X0) ),
inference(resolution,[],[f51,f43]) ).
fof(f43,plain,
! [X0] :
( cd(X0)
| ~ ca_Ax3(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f51,plain,
! [X0] :
( ~ cd(X0)
| ~ cdxcomp(X0) ),
inference(resolution,[],[f46,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ~ cd(X0)
| ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( cd(X0)
=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( cd(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f46,plain,
! [X0] :
( ra_Px1(X0,sK0(X0))
| ~ cdxcomp(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ~ cdxcomp(X0)
| ra_Px1(X0,sK0(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f37,f38]) ).
fof(f38,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
=> ra_Px1(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0] :
( ~ cdxcomp(X0)
| ? [X1] : ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( cdxcomp(X0)
=> ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f17]) ).
fof(f17,plain,
! [X0] :
( cdxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( cdxcomp(X0)
<=> ? [X2] : ra_Px1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f49,plain,
! [X0,X1] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X1)
| ca_Ax3(X1) ),
inference(cnf_transformation,[],[f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS124+1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:30:40 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.51 % (31209)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51 % (31230)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (31218)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.51 % (31218)Refutation not found, incomplete strategy% (31218)------------------------------
% 0.20/0.51 % (31218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (31218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (31218)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (31218)Memory used [KB]: 1407
% 0.20/0.51 % (31218)Time elapsed: 0.002 s
% 0.20/0.51 % (31218)Instructions burned: 1 (million)
% 0.20/0.51 % (31218)------------------------------
% 0.20/0.51 % (31218)------------------------------
% 0.20/0.52 % (31222)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (31205)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (31205)First to succeed.
% 0.20/0.52 % (31222)Refutation not found, incomplete strategy% (31222)------------------------------
% 0.20/0.52 % (31222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (31222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (31222)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (31222)Memory used [KB]: 5884
% 0.20/0.52 % (31222)Time elapsed: 0.002 s
% 0.20/0.52 % (31222)Instructions burned: 1 (million)
% 0.20/0.52 % (31222)------------------------------
% 0.20/0.52 % (31222)------------------------------
% 0.20/0.52 % (31225)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.52 % (31229)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.52 % (31230)Also succeeded, but the first one will report.
% 0.20/0.52 % (31229)Refutation not found, incomplete strategy% (31229)------------------------------
% 0.20/0.52 % (31229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (31229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (31229)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (31229)Memory used [KB]: 1407
% 0.20/0.52 % (31229)Time elapsed: 0.002 s
% 0.20/0.52 % (31229)Instructions burned: 2 (million)
% 0.20/0.52 % (31229)------------------------------
% 0.20/0.52 % (31229)------------------------------
% 0.20/0.52 % (31205)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (31205)------------------------------
% 0.20/0.52 % (31205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (31205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (31205)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (31205)Memory used [KB]: 5884
% 0.20/0.52 % (31205)Time elapsed: 0.113 s
% 0.20/0.52 % (31205)Instructions burned: 2 (million)
% 0.20/0.52 % (31205)------------------------------
% 0.20/0.52 % (31205)------------------------------
% 0.20/0.52 % (31202)Success in time 0.168 s
%------------------------------------------------------------------------------