TSTP Solution File: KRS156+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS156+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 May 20 23:22:20 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 65 ( 14 unt; 0 def)
% Number of atoms : 204 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 231 ( 92 ~; 89 |; 32 &)
% ( 14 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 9 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 28 ( 22 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1077,plain,
$false,
inference(avatar_sat_refutation,[],[f1050,f1051,f1052,f1054,f1061,f1064,f1068,f1071,f1074,f1076]) ).
fof(f1076,plain,
~ spl92_2,
inference(avatar_contradiction_clause,[],[f1075]) ).
fof(f1075,plain,
( $false
| ~ spl92_2 ),
inference(subsumption_resolution,[],[f1025,f697]) ).
fof(f697,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f1025,plain,
( cowlNothing(sK1)
| ~ spl92_2 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f1023,plain,
( spl92_2
<=> cowlNothing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_2])]) ).
fof(f1074,plain,
( ~ spl92_3
| ~ spl92_4 ),
inference(avatar_contradiction_clause,[],[f1073]) ).
fof(f1073,plain,
( $false
| ~ spl92_3
| ~ spl92_4 ),
inference(subsumption_resolution,[],[f1072,f1028]) ).
fof(f1028,plain,
( xsd_string(sK0)
| ~ spl92_3 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f1027,plain,
( spl92_3
<=> xsd_string(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_3])]) ).
fof(f1072,plain,
( ~ xsd_string(sK0)
| ~ spl92_4 ),
inference(resolution,[],[f1033,f702]) ).
fof(f702,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,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/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f1033,plain,
( xsd_integer(sK0)
| ~ spl92_4 ),
inference(avatar_component_clause,[],[f1031]) ).
fof(f1031,plain,
( spl92_4
<=> xsd_integer(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_4])]) ).
fof(f1071,plain,
( spl92_3
| spl92_4 ),
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1070,plain,
( $false
| spl92_3
| spl92_4 ),
inference(subsumption_resolution,[],[f1069,f1029]) ).
fof(f1029,plain,
( ~ xsd_string(sK0)
| spl92_3 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f1069,plain,
( xsd_string(sK0)
| spl92_4 ),
inference(resolution,[],[f1032,f703]) ).
fof(f703,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f1032,plain,
( ~ xsd_integer(sK0)
| spl92_4 ),
inference(avatar_component_clause,[],[f1031]) ).
fof(f1068,plain,
spl92_5,
inference(avatar_split_clause,[],[f1065,f1035]) ).
fof(f1035,plain,
( spl92_5
<=> cC116(iV5475) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_5])]) ).
fof(f1065,plain,
cC116(iV5475),
inference(resolution,[],[f1004,f686]) ).
fof(f686,plain,
cTEST(iV5475),
inference(cnf_transformation,[],[f132]) ).
fof(f132,axiom,
cTEST(iV5475),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_131) ).
fof(f1004,plain,
! [X0] :
( ~ cTEST(X0)
| cC116(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,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] :
( cTEST(X0)
<=> ( cC116(X0)
& cC140(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_127) ).
fof(f1064,plain,
( spl92_8
| ~ spl92_6 ),
inference(avatar_split_clause,[],[f1062,f1039,f1047]) ).
fof(f1047,plain,
( spl92_8
<=> cC138(iV5475) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_8])]) ).
fof(f1039,plain,
( spl92_6
<=> cC140(iV5475) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_6])]) ).
fof(f1062,plain,
( cC138(iV5475)
| ~ spl92_6 ),
inference(resolution,[],[f1040,f995]) ).
fof(f995,plain,
! [X0] :
( ~ cC140(X0)
| cC138(X0) ),
inference(cnf_transformation,[],[f656]) ).
fof(f656,plain,
! [X0] :
( ( cC140(X0)
| ~ cC138(X0)
| ~ cTOP(X0) )
& ( ( cC138(X0)
& cTOP(X0) )
| ~ cC140(X0) ) ),
inference(flattening,[],[f655]) ).
fof(f655,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/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
fof(f1040,plain,
( cC140(iV5475)
| ~ spl92_6 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1061,plain,
spl92_6,
inference(avatar_split_clause,[],[f1058,f1039]) ).
fof(f1058,plain,
cC140(iV5475),
inference(resolution,[],[f1003,f686]) ).
fof(f1003,plain,
! [X0] :
( ~ cTEST(X0)
| cC140(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f1054,plain,
spl92_1,
inference(avatar_contradiction_clause,[],[f1053]) ).
fof(f1053,plain,
( $false
| spl92_1 ),
inference(resolution,[],[f696,f1021]) ).
fof(f1021,plain,
( ~ cowlThing(sK1)
| spl92_1 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f1019,plain,
( spl92_1
<=> cowlThing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_1])]) ).
fof(f696,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1052,plain,
spl92_7,
inference(avatar_split_clause,[],[f693,f1043]) ).
fof(f1043,plain,
( spl92_7
<=> cowlThing(iV5475) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_7])]) ).
fof(f693,plain,
cowlThing(iV5475),
inference(cnf_transformation,[],[f130]) ).
fof(f130,axiom,
cowlThing(iV5475),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_129) ).
fof(f1051,plain,
( ~ spl92_1
| spl92_2
| spl92_3
| ~ spl92_4
| ~ spl92_5
| ~ spl92_6
| ~ spl92_7
| ~ spl92_8 ),
inference(avatar_split_clause,[],[f681,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019]) ).
fof(f681,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ( ( xsd_integer(sK0)
| ~ xsd_string(sK0) )
& ( ~ xsd_integer(sK0)
| xsd_string(sK0) ) )
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f260,f262,f261]) ).
fof(f261,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
=> ( ( xsd_integer(sK0)
| ~ xsd_string(sK0) )
& ( ~ xsd_integer(sK0)
| xsd_string(sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f262,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
=> ( cowlNothing(sK1)
| ~ cowlThing(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f260,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f223,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(ennf_transformation,[],[f148]) ).
fof(f148,plain,
~ ( cC138(iV5475)
& cowlThing(iV5475)
& cC140(iV5475)
& cC116(iV5475)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(rectify,[],[f147]) ).
fof(f147,negated_conjecture,
~ ( cC138(iV5475)
& cowlThing(iV5475)
& cC140(iV5475)
& cC116(iV5475)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f146]) ).
fof(f146,conjecture,
( cC138(iV5475)
& cowlThing(iV5475)
& cC140(iV5475)
& cC116(iV5475)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f1050,plain,
( ~ spl92_1
| spl92_2
| ~ spl92_3
| spl92_4
| ~ spl92_5
| ~ spl92_6
| ~ spl92_7
| ~ spl92_8 ),
inference(avatar_split_clause,[],[f682,f1047,f1043,f1039,f1035,f1031,f1027,f1023,f1019]) ).
fof(f682,plain,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f263]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KRS156+1 : TPTP v8.2.0. Released v3.1.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 22:10:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (21916)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (21918)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (21923)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (21919)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.38 Detected maximum model sizes of [max,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.14/0.38 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.38 % (21922)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39 TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 % (21920)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39 TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39 % (21921)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.40 % (21922)First to succeed.
% 0.14/0.40 TRYING [4]
% 0.14/0.40 % (21922)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21916"
% 0.14/0.40 % (21917)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.40 % (21922)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (21922)------------------------------
% 0.14/0.40 % (21922)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40 % (21922)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (21922)Memory used [KB]: 1260
% 0.14/0.40 % (21922)Time elapsed: 0.016 s
% 0.14/0.40 % (21922)Instructions burned: 13 (million)
% 0.14/0.40 % (21916)Success in time 0.045 s
%------------------------------------------------------------------------------