TSTP Solution File: KRS156+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS156+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 : n011.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 17:29:52 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 61 ( 9 unt; 0 def)
% Number of atoms : 228 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 289 ( 122 ~; 120 |; 33 &)
% ( 10 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 5 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 30 ( 22 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1089,plain,
$false,
inference(avatar_sat_refutation,[],[f1036,f1046,f1066,f1080,f1088]) ).
fof(f1088,plain,
( ~ spl92_3
| ~ spl92_4 ),
inference(avatar_contradiction_clause,[],[f1087]) ).
fof(f1087,plain,
( $false
| ~ spl92_3
| ~ spl92_4 ),
inference(subsumption_resolution,[],[f1085,f1045]) ).
fof(f1045,plain,
( xsd_integer(sK6)
| ~ spl92_4 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1043,plain,
( spl92_4
<=> xsd_integer(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_4])]) ).
fof(f1085,plain,
( ~ xsd_integer(sK6)
| ~ spl92_3 ),
inference(unit_resulting_resolution,[],[f1035,f887]) ).
fof(f887,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f519]) ).
fof(f519,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f1035,plain,
( xsd_string(sK6)
| ~ spl92_3 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1033,plain,
( spl92_3
<=> xsd_string(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_3])]) ).
fof(f1080,plain,
spl92_2,
inference(avatar_contradiction_clause,[],[f1079]) ).
fof(f1079,plain,
( $false
| spl92_2 ),
inference(subsumption_resolution,[],[f1071,f788]) ).
fof(f788,plain,
cTEST(iV5475),
inference(cnf_transformation,[],[f132]) ).
fof(f132,axiom,
cTEST(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_131) ).
fof(f1071,plain,
( ~ cTEST(iV5475)
| spl92_2 ),
inference(unit_resulting_resolution,[],[f1031,f763]) ).
fof(f763,plain,
! [X0] :
( ~ cTEST(X0)
| cC140(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
! [X0] :
( ( cC116(X0)
& cC140(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0] :
( cTEST(X0)
=> ( cC116(X0)
& cC140(X0) ) ),
inference(unused_predicate_definition_removal,[],[f128]) ).
fof(f128,axiom,
! [X0] :
( ( cC116(X0)
& cC140(X0) )
<=> cTEST(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).
fof(f1031,plain,
( ~ cC140(iV5475)
| spl92_2 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1029,plain,
( spl92_2
<=> cC140(iV5475) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_2])]) ).
fof(f1066,plain,
spl92_1,
inference(avatar_contradiction_clause,[],[f1065]) ).
fof(f1065,plain,
( $false
| spl92_1 ),
inference(subsumption_resolution,[],[f1053,f788]) ).
fof(f1053,plain,
( ~ cTEST(iV5475)
| spl92_1 ),
inference(resolution,[],[f1027,f764]) ).
fof(f764,plain,
! [X0] :
( ~ cTEST(X0)
| cC116(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f1027,plain,
( ~ cC116(iV5475)
| spl92_1 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1025,plain,
( spl92_1
<=> cC116(iV5475) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_1])]) ).
fof(f1046,plain,
( spl92_4
| ~ spl92_1
| ~ spl92_2 ),
inference(avatar_split_clause,[],[f1041,f1029,f1025,f1043]) ).
fof(f1041,plain,
( ~ cC140(iV5475)
| ~ cC116(iV5475)
| xsd_integer(sK6) ),
inference(subsumption_resolution,[],[f1040,f961]) ).
fof(f961,plain,
! [X0] :
( ~ cC140(X0)
| cC138(X0) ),
inference(cnf_transformation,[],[f621]) ).
fof(f621,plain,
! [X0] :
( ( cC140(X0)
| ~ cC138(X0)
| ~ cTOP(X0) )
& ( ( cC138(X0)
& cTOP(X0) )
| ~ cC140(X0) ) ),
inference(flattening,[],[f620]) ).
fof(f620,plain,
! [X0] :
( ( cC140(X0)
| ~ cC138(X0)
| ~ cTOP(X0) )
& ( ( cC138(X0)
& cTOP(X0) )
| ~ cC140(X0) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( cC140(X0)
<=> ( cC138(X0)
& cTOP(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
fof(f1040,plain,
( ~ cC138(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| xsd_integer(sK6) ),
inference(subsumption_resolution,[],[f1039,f888]) ).
fof(f888,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f519]) ).
fof(f1039,plain,
( ~ xsd_string(sK6)
| ~ cC116(iV5475)
| ~ cC138(iV5475)
| ~ cC140(iV5475)
| xsd_integer(sK6) ),
inference(subsumption_resolution,[],[f1038,f1014]) ).
fof(f1014,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f1038,plain,
( xsd_integer(sK6)
| cowlNothing(sK5)
| ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ xsd_string(sK6)
| ~ cC140(iV5475) ),
inference(subsumption_resolution,[],[f1037,f716]) ).
fof(f716,plain,
cowlThing(iV5475),
inference(cnf_transformation,[],[f130]) ).
fof(f130,axiom,
cowlThing(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_129) ).
fof(f1037,plain,
( xsd_integer(sK6)
| ~ cowlThing(iV5475)
| cowlNothing(sK5)
| ~ cC138(iV5475)
| ~ cC140(iV5475)
| ~ xsd_string(sK6)
| ~ cC116(iV5475) ),
inference(subsumption_resolution,[],[f696,f1013]) ).
fof(f1013,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f696,plain,
( ~ cC116(iV5475)
| ~ cowlThing(sK5)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ xsd_string(sK6)
| ~ cC138(iV5475)
| xsd_integer(sK6)
| cowlNothing(sK5) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
( ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(sK5)
| cowlNothing(sK5)
| ( ( xsd_integer(sK6)
| ~ xsd_string(sK6) )
& ( ~ xsd_integer(sK6)
| xsd_string(sK6) ) )
| ~ cC138(iV5475) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f279,f281,f280]) ).
fof(f280,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
=> ( ~ cowlThing(sK5)
| cowlNothing(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f281,plain,
( ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
=> ( ( xsd_integer(sK6)
| ~ xsd_string(sK6) )
& ( ~ xsd_integer(sK6)
| xsd_string(sK6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f279,plain,
( ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cC138(iV5475) ),
inference(rectify,[],[f278]) ).
fof(f278,plain,
( ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ~ cC138(iV5475) ),
inference(nnf_transformation,[],[f243]) ).
fof(f243,plain,
( ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) )
| ~ cC138(iV5475) ),
inference(ennf_transformation,[],[f161]) ).
fof(f161,plain,
~ ( cC138(iV5475)
& cC140(iV5475)
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) )
& cC116(iV5475)
& ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) )
& cowlThing(iV5475) ),
inference(rectify,[],[f147]) ).
fof(f147,negated_conjecture,
~ ( cC140(iV5475)
& cC116(iV5475)
& cC138(iV5475)
& cowlThing(iV5475)
& ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f146]) ).
fof(f146,conjecture,
( cC140(iV5475)
& cC116(iV5475)
& cC138(iV5475)
& cowlThing(iV5475)
& ! [X0] :
( ~ xsd_integer(X0)
<=> xsd_string(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f1036,plain,
( ~ spl92_1
| ~ spl92_2
| spl92_3 ),
inference(avatar_split_clause,[],[f1023,f1033,f1029,f1025]) ).
fof(f1023,plain,
( xsd_string(sK6)
| ~ cC140(iV5475)
| ~ cC116(iV5475) ),
inference(subsumption_resolution,[],[f1022,f888]) ).
fof(f1022,plain,
( ~ xsd_integer(sK6)
| xsd_string(sK6)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(subsumption_resolution,[],[f1021,f961]) ).
fof(f1021,plain,
( ~ cC138(iV5475)
| ~ xsd_integer(sK6)
| ~ cC140(iV5475)
| xsd_string(sK6)
| ~ cC116(iV5475) ),
inference(subsumption_resolution,[],[f1020,f1014]) ).
fof(f1020,plain,
( ~ cC116(iV5475)
| xsd_string(sK6)
| cowlNothing(sK5)
| ~ cC138(iV5475)
| ~ cC140(iV5475)
| ~ xsd_integer(sK6) ),
inference(subsumption_resolution,[],[f1019,f716]) ).
fof(f1019,plain,
( ~ cC140(iV5475)
| xsd_string(sK6)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC138(iV5475)
| cowlNothing(sK5)
| ~ xsd_integer(sK6) ),
inference(subsumption_resolution,[],[f695,f1013]) ).
fof(f695,plain,
( ~ xsd_integer(sK6)
| ~ cC116(iV5475)
| ~ cowlThing(sK5)
| xsd_string(sK6)
| ~ cC138(iV5475)
| cowlNothing(sK5)
| ~ cC140(iV5475)
| ~ cowlThing(iV5475) ),
inference(cnf_transformation,[],[f282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS156+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % 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 : n011.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 00:33:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.51 % (18308)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.51 % (18319)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51 % (18320)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)
% 0.21/0.52 % (18327)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)
% 0.21/0.52 % (18329)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52 % (18335)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)
% 0.21/0.52 % (18315)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)
% 0.21/0.52 % (18309)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.52 % (18309)Refutation not found, incomplete strategy% (18309)------------------------------
% 0.21/0.52 % (18309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (18309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (18309)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (18309)Memory used [KB]: 6140
% 0.21/0.52 % (18309)Time elapsed: 0.120 s
% 0.21/0.52 % (18309)Instructions burned: 3 (million)
% 0.21/0.52 % (18309)------------------------------
% 0.21/0.52 % (18309)------------------------------
% 0.21/0.53 % (18312)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)
% 0.21/0.53 % (18314)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)
% 0.21/0.53 % (18318)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.53 % (18315)First to succeed.
% 0.21/0.53 % (18313)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.53 % (18330)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)
% 0.21/0.53 % (18331)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)
% 0.21/0.53 % (18315)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (18315)------------------------------
% 0.21/0.53 % (18315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (18315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (18315)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (18315)Memory used [KB]: 6780
% 0.21/0.53 % (18315)Time elapsed: 0.128 s
% 0.21/0.53 % (18315)Instructions burned: 10 (million)
% 0.21/0.53 % (18315)------------------------------
% 0.21/0.53 % (18315)------------------------------
% 0.21/0.53 % (18307)Success in time 0.18 s
%------------------------------------------------------------------------------