TSTP Solution File: KRS128+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS128+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 : n004.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 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 4 unt; 0 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 147 ( 54 ~; 47 |; 28 &)
% ( 7 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 74 ( 59 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f77,plain,
$false,
inference(resolution,[],[f76,f52]) ).
fof(f52,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
cUnsatisfiable(i2003_11_14_17_22_31584),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
fof(f76,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(duplicate_literal_removal,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f72,f66]) ).
fof(f66,plain,
! [X0] :
( ca_Cx4(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(duplicate_literal_removal,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0)
| ca_Cx4(sK1(X0)) ),
inference(resolution,[],[f50,f49]) ).
fof(f49,plain,
! [X0] :
( rr(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ( ! [X1] :
( cd(X1)
| ~ rr(X0,X1) )
& ! [X2] :
( ca_Cx4(X2)
| ~ rr(X0,X2) )
& rr(X0,sK1(X0))
& cexcomp(sK1(X0)) )
| ~ cUnsatisfiable(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f31,f32]) ).
fof(f32,plain,
! [X0] :
( ? [X3] :
( rr(X0,X3)
& cexcomp(X3) )
=> ( rr(X0,sK1(X0))
& cexcomp(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
( ( ! [X1] :
( cd(X1)
| ~ rr(X0,X1) )
& ! [X2] :
( ca_Cx4(X2)
| ~ rr(X0,X2) )
& ? [X3] :
( rr(X0,X3)
& cexcomp(X3) ) )
| ~ cUnsatisfiable(X0) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ( ! [X1] :
( cd(X1)
| ~ rr(X0,X1) )
& ! [X3] :
( ca_Cx4(X3)
| ~ rr(X0,X3) )
& ? [X2] :
( rr(X0,X2)
& cexcomp(X2) ) )
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( ! [X3] :
( rr(X0,X3)
=> ca_Cx4(X3) )
& ? [X2] :
( rr(X0,X2)
& cexcomp(X2) )
& ! [X1] :
( rr(X0,X1)
=> cd(X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f14]) ).
fof(f14,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X3] :
( rr(X0,X3)
=> ca_Cx4(X3) )
& ? [X2] :
( rr(X0,X2)
& cexcomp(X2) )
& ! [X1] :
( rr(X0,X1)
=> cd(X1) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ( ! [X1] :
( rr(X0,X1)
=> cd(X1) )
& ? [X1] :
( cexcomp(X1)
& rr(X0,X1) )
& ! [X1] :
( rr(X0,X1)
=> ca_Cx4(X1) ) )
<=> cUnsatisfiable(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f50,plain,
! [X2,X0] :
( ~ rr(X0,X2)
| ca_Cx4(X2)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f72,plain,
! [X0] :
( ~ ca_Cx4(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f71,f62]) ).
fof(f62,plain,
! [X0] :
( ~ ca_Cx4xcomp(X0)
| ~ ca_Cx4(X0) ),
inference(resolution,[],[f53,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ ra_Px4(X0,X1)
| ~ ca_Cx4xcomp(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px4(X0,X1)
| ~ ca_Cx4xcomp(X0) )
& ( ca_Cx4xcomp(X0)
| ra_Px4(X0,sK4(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f41,f42]) ).
fof(f42,plain,
! [X0] :
( ? [X2] : ra_Px4(X0,X2)
=> ra_Px4(X0,sK4(X0)) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px4(X0,X1)
| ~ ca_Cx4xcomp(X0) )
& ( ca_Cx4xcomp(X0)
| ? [X2] : ra_Px4(X0,X2) ) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ( ! [X1] : ~ ra_Px4(X0,X1)
| ~ ca_Cx4xcomp(X0) )
& ( ca_Cx4xcomp(X0)
| ? [X1] : ra_Px4(X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ! [X1] : ~ ra_Px4(X0,X1)
<=> ca_Cx4xcomp(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ca_Cx4xcomp(X0)
<=> ~ ? [X1] : ra_Px4(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f53,plain,
! [X0] :
( ra_Px4(X0,sK2(X0))
| ~ ca_Cx4(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ~ ca_Cx4(X0)
| ra_Px4(X0,sK2(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f24,f34]) ).
fof(f34,plain,
! [X0] :
( ? [X1] : ra_Px4(X0,X1)
=> ra_Px4(X0,sK2(X0)) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
( ~ ca_Cx4(X0)
| ? [X1] : ra_Px4(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ca_Cx4(X0)
=> ? [X1] : ra_Px4(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ca_Cx4(X0)
<=> ? [X1] : ra_Px4(X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ? [X2] : ra_Px4(X0,X2)
<=> ca_Cx4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f71,plain,
! [X0] :
( ca_Cx4xcomp(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(duplicate_literal_removal,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0)
| ca_Cx4xcomp(sK1(X0)) ),
inference(resolution,[],[f69,f48]) ).
fof(f48,plain,
! [X0] :
( cexcomp(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f69,plain,
! [X0] :
( ~ cexcomp(sK1(X0))
| ~ cUnsatisfiable(X0)
| ca_Cx4xcomp(sK1(X0)) ),
inference(resolution,[],[f68,f60]) ).
fof(f60,plain,
! [X0] :
( ~ cd(X0)
| ca_Cx4xcomp(X0)
| ~ cexcomp(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ( ca_Cx4xcomp(X0)
| ~ cexcomp(X0)
| ~ cd(X0) )
& ( ( cexcomp(X0)
& cd(X0) )
| ~ ca_Cx4xcomp(X0) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ( ca_Cx4xcomp(X0)
| ~ cexcomp(X0)
| ~ cd(X0) )
& ( ( cexcomp(X0)
& cd(X0) )
| ~ ca_Cx4xcomp(X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ca_Cx4xcomp(X0)
<=> ( cexcomp(X0)
& cd(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(f68,plain,
! [X0] :
( cd(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(duplicate_literal_removal,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cd(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f51,f49]) ).
fof(f51,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| ~ cUnsatisfiable(X0)
| cd(X1) ),
inference(cnf_transformation,[],[f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS128+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 00:30:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (11248)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (11272)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (11248)Refutation not found, incomplete strategy% (11248)------------------------------
% 0.20/0.52 % (11248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (11248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (11253)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (11253)Refutation not found, incomplete strategy% (11253)------------------------------
% 0.20/0.53 % (11253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (11253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (11253)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (11253)Memory used [KB]: 5884
% 0.20/0.53 % (11253)Time elapsed: 0.002 s
% 0.20/0.53 % (11253)------------------------------
% 0.20/0.53 % (11253)------------------------------
% 0.20/0.53 % (11252)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (11252)Refutation not found, incomplete strategy% (11252)------------------------------
% 0.20/0.53 % (11252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (11252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (11252)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (11252)Memory used [KB]: 5884
% 0.20/0.53 % (11252)Time elapsed: 0.002 s
% 0.20/0.53 % (11252)------------------------------
% 0.20/0.53 % (11252)------------------------------
% 0.20/0.53 % (11248)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (11248)Memory used [KB]: 5884
% 0.20/0.53 % (11248)Time elapsed: 0.005 s
% 0.20/0.53 % (11248)Instructions burned: 1 (million)
% 0.20/0.53 % (11248)------------------------------
% 0.20/0.53 % (11248)------------------------------
% 0.20/0.53 % (11249)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (11275)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.53 % (11275)Refutation not found, incomplete strategy% (11275)------------------------------
% 0.20/0.53 % (11275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (11275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (11275)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (11275)Memory used [KB]: 5884
% 0.20/0.53 % (11275)Time elapsed: 0.001 s
% 0.20/0.53 % (11275)------------------------------
% 0.20/0.53 % (11275)------------------------------
% 0.20/0.53 % (11268)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.53 % (11273)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53 % (11268)First to succeed.
% 0.20/0.53 % (11249)Refutation not found, incomplete strategy% (11249)------------------------------
% 0.20/0.53 % (11249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (11249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (11249)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (11249)Memory used [KB]: 5884
% 0.20/0.53 % (11249)Time elapsed: 0.002 s
% 0.20/0.53 % (11249)Instructions burned: 1 (million)
% 0.20/0.53 % (11249)------------------------------
% 0.20/0.53 % (11249)------------------------------
% 0.20/0.53 % (11266)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.53 % (11273)Also succeeded, but the first one will report.
% 0.20/0.54 % (11268)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (11268)------------------------------
% 0.20/0.54 % (11268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (11268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (11268)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (11268)Memory used [KB]: 5884
% 0.20/0.54 % (11268)Time elapsed: 0.116 s
% 0.20/0.54 % (11268)------------------------------
% 0.20/0.54 % (11268)------------------------------
% 0.20/0.54 % (11245)Success in time 0.176 s
%------------------------------------------------------------------------------