TSTP Solution File: KRS149+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS149+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 : Sun May 5 07:19:50 EDT 2024
% Result : Theorem 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of formulae : 89 ( 14 unt; 0 def)
% Number of atoms : 310 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 369 ( 148 ~; 143 |; 54 &)
% ( 20 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 13 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 38 ( 32 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f885,plain,
$false,
inference(avatar_sat_refutation,[],[f848,f849,f850,f852,f855,f860,f863,f864,f867,f868,f875,f879,f881,f884]) ).
fof(f884,plain,
( ~ spl56_3
| ~ spl56_4 ),
inference(avatar_contradiction_clause,[],[f883]) ).
fof(f883,plain,
( $false
| ~ spl56_3
| ~ spl56_4 ),
inference(subsumption_resolution,[],[f882,f810]) ).
fof(f810,plain,
( xsd_string(sK0)
| ~ spl56_3 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f809,plain,
( spl56_3
<=> xsd_string(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_3])]) ).
fof(f882,plain,
( ~ xsd_string(sK0)
| ~ spl56_4 ),
inference(resolution,[],[f815,f481]) ).
fof(f481,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,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(f815,plain,
( xsd_integer(sK0)
| ~ spl56_4 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f813,plain,
( spl56_4
<=> xsd_integer(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_4])]) ).
fof(f881,plain,
~ spl56_2,
inference(avatar_contradiction_clause,[],[f880]) ).
fof(f880,plain,
( $false
| ~ spl56_2 ),
inference(subsumption_resolution,[],[f807,f475]) ).
fof(f475,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(f807,plain,
( cowlNothing(sK1)
| ~ spl56_2 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f805,plain,
( spl56_2
<=> cowlNothing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_2])]) ).
fof(f879,plain,
( spl56_3
| spl56_4 ),
inference(avatar_split_clause,[],[f876,f813,f809]) ).
fof(f876,plain,
( xsd_string(sK0)
| spl56_4 ),
inference(resolution,[],[f814,f482]) ).
fof(f482,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f814,plain,
( ~ xsd_integer(sK0)
| spl56_4 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f875,plain,
( ~ spl56_5
| spl56_10 ),
inference(avatar_contradiction_clause,[],[f874]) ).
fof(f874,plain,
( $false
| ~ spl56_5
| spl56_10 ),
inference(subsumption_resolution,[],[f873,f818]) ).
fof(f818,plain,
( cC216(iV3102)
| ~ spl56_5 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f817,plain,
( spl56_5
<=> cC216(iV3102) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_5])]) ).
fof(f873,plain,
( ~ cC216(iV3102)
| spl56_10 ),
inference(resolution,[],[f839,f760]) ).
fof(f760,plain,
! [X0] :
( cC64(X0)
| ~ cC216(X0) ),
inference(cnf_transformation,[],[f425]) ).
fof(f425,plain,
! [X0] :
( ( cC216(X0)
| ~ cC64(X0)
| cC214(X0) )
& ( ( cC64(X0)
& ~ cC214(X0) )
| ~ cC216(X0) ) ),
inference(flattening,[],[f424]) ).
fof(f424,plain,
! [X0] :
( ( cC216(X0)
| ~ cC64(X0)
| cC214(X0) )
& ( ( cC64(X0)
& ~ cC214(X0) )
| ~ cC216(X0) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0] :
( cC216(X0)
<=> ( cC64(X0)
& ~ cC214(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
fof(f839,plain,
( ~ cC64(iV3102)
| spl56_10 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f837,plain,
( spl56_10
<=> cC64(iV3102) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_10])]) ).
fof(f868,plain,
( spl56_11
| ~ spl56_7 ),
inference(avatar_split_clause,[],[f866,f825,f841]) ).
fof(f841,plain,
( spl56_11
<=> cC14(iV3102) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_11])]) ).
fof(f825,plain,
( spl56_7
<=> cC30(iV3102) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_7])]) ).
fof(f866,plain,
( cC14(iV3102)
| ~ spl56_7 ),
inference(resolution,[],[f826,f777]) ).
fof(f777,plain,
! [X0] :
( ~ cC30(X0)
| cC14(X0) ),
inference(cnf_transformation,[],[f437]) ).
fof(f437,plain,
! [X0] :
( ( cC30(X0)
| ~ cC28(X0)
| ~ cC14(X0) )
& ( ( cC28(X0)
& cC14(X0) )
| ~ cC30(X0) ) ),
inference(flattening,[],[f436]) ).
fof(f436,plain,
! [X0] :
( ( cC30(X0)
| ~ cC28(X0)
| ~ cC14(X0) )
& ( ( cC28(X0)
& cC14(X0) )
| ~ cC30(X0) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( cC30(X0)
<=> ( cC28(X0)
& cC14(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_70) ).
fof(f826,plain,
( cC30(iV3102)
| ~ spl56_7 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f867,plain,
( spl56_9
| ~ spl56_7 ),
inference(avatar_split_clause,[],[f865,f825,f833]) ).
fof(f833,plain,
( spl56_9
<=> cC28(iV3102) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_9])]) ).
fof(f865,plain,
( cC28(iV3102)
| ~ spl56_7 ),
inference(resolution,[],[f826,f778]) ).
fof(f778,plain,
! [X0] :
( ~ cC30(X0)
| cC28(X0) ),
inference(cnf_transformation,[],[f437]) ).
fof(f864,plain,
( spl56_7
| ~ spl56_6 ),
inference(avatar_split_clause,[],[f862,f821,f825]) ).
fof(f821,plain,
( spl56_6
<=> cC46(iV3102) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_6])]) ).
fof(f862,plain,
( cC30(iV3102)
| ~ spl56_6 ),
inference(resolution,[],[f822,f774]) ).
fof(f774,plain,
! [X0] :
( ~ cC46(X0)
| cC30(X0) ),
inference(cnf_transformation,[],[f435]) ).
fof(f435,plain,
! [X0] :
( ( cC46(X0)
| ~ cC44(X0)
| ~ cC30(X0) )
& ( ( cC44(X0)
& cC30(X0) )
| ~ cC46(X0) ) ),
inference(flattening,[],[f434]) ).
fof(f434,plain,
! [X0] :
( ( cC46(X0)
| ~ cC44(X0)
| ~ cC30(X0) )
& ( ( cC44(X0)
& cC30(X0) )
| ~ cC46(X0) ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( cC46(X0)
<=> ( cC44(X0)
& cC30(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_78) ).
fof(f822,plain,
( cC46(iV3102)
| ~ spl56_6 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f863,plain,
( spl56_8
| ~ spl56_6 ),
inference(avatar_split_clause,[],[f861,f821,f829]) ).
fof(f829,plain,
( spl56_8
<=> cC44(iV3102) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_8])]) ).
fof(f861,plain,
( cC44(iV3102)
| ~ spl56_6 ),
inference(resolution,[],[f822,f775]) ).
fof(f775,plain,
! [X0] :
( ~ cC46(X0)
| cC44(X0) ),
inference(cnf_transformation,[],[f435]) ).
fof(f860,plain,
spl56_6,
inference(avatar_split_clause,[],[f857,f821]) ).
fof(f857,plain,
cC46(iV3102),
inference(resolution,[],[f796,f471]) ).
fof(f471,plain,
cTEST(iV3102),
inference(cnf_transformation,[],[f109]) ).
fof(f109,axiom,
cTEST(iV3102),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_108) ).
fof(f796,plain,
! [X0] :
( ~ cTEST(X0)
| cC46(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ( cC46(X0)
& cC216(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( cTEST(X0)
=> ( cC46(X0)
& cC216(X0) ) ),
inference(unused_predicate_definition_removal,[],[f108]) ).
fof(f108,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC46(X0)
& cC216(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_107) ).
fof(f855,plain,
spl56_5,
inference(avatar_split_clause,[],[f854,f817]) ).
fof(f854,plain,
cC216(iV3102),
inference(resolution,[],[f795,f471]) ).
fof(f795,plain,
! [X0] :
( ~ cTEST(X0)
| cC216(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f852,plain,
spl56_1,
inference(avatar_contradiction_clause,[],[f851]) ).
fof(f851,plain,
( $false
| spl56_1 ),
inference(resolution,[],[f474,f803]) ).
fof(f803,plain,
( ~ cowlThing(sK1)
| spl56_1 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f801,plain,
( spl56_1
<=> cowlThing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_1])]) ).
fof(f474,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f850,plain,
spl56_12,
inference(avatar_split_clause,[],[f473,f845]) ).
fof(f845,plain,
( spl56_12
<=> cowlThing(iV3102) ),
introduced(avatar_definition,[new_symbols(naming,[spl56_12])]) ).
fof(f473,plain,
cowlThing(iV3102),
inference(cnf_transformation,[],[f110]) ).
fof(f110,axiom,
cowlThing(iV3102),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_109) ).
fof(f849,plain,
( ~ spl56_1
| spl56_2
| spl56_3
| ~ spl56_4
| ~ spl56_5
| ~ spl56_6
| ~ spl56_7
| ~ spl56_8
| ~ spl56_9
| ~ spl56_10
| ~ spl56_11
| ~ spl56_12 ),
inference(avatar_split_clause,[],[f460,f845,f841,f837,f833,f829,f825,f821,f817,f813,f809,f805,f801]) ).
fof(f460,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ( ( 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])],[f137,f139,f138]) ).
fof(f138,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(f139,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
=> ( cowlNothing(sK1)
| ~ cowlThing(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(nnf_transformation,[],[f130]) ).
fof(f130,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(ennf_transformation,[],[f128]) ).
fof(f128,plain,
~ ( cowlThing(iV3102)
& cC14(iV3102)
& cC64(iV3102)
& cC28(iV3102)
& cC44(iV3102)
& cC30(iV3102)
& cC46(iV3102)
& cC216(iV3102)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(rectify,[],[f127]) ).
fof(f127,negated_conjecture,
~ ( cowlThing(iV3102)
& cC14(iV3102)
& cC64(iV3102)
& cC28(iV3102)
& cC44(iV3102)
& cC30(iV3102)
& cC46(iV3102)
& cC216(iV3102)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f126]) ).
fof(f126,conjecture,
( cowlThing(iV3102)
& cC14(iV3102)
& cC64(iV3102)
& cC28(iV3102)
& cC44(iV3102)
& cC30(iV3102)
& cC46(iV3102)
& cC216(iV3102)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f848,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_3
| spl56_4
| ~ spl56_5
| ~ spl56_6
| ~ spl56_7
| ~ spl56_8
| ~ spl56_9
| ~ spl56_10
| ~ spl56_11
| ~ spl56_12 ),
inference(avatar_split_clause,[],[f461,f845,f841,f837,f833,f829,f825,f821,f817,f813,f809,f805,f801]) ).
fof(f461,plain,
( ~ cowlThing(iV3102)
| ~ cC14(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC46(iV3102)
| ~ cC216(iV3102)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KRS149+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n022.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 19:51:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (15049)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (15050)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.39 % (15052)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)
% 0.16/0.39 % (15053)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.39 % (15055)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.39 % (15054)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.39 % (15051)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.39 % (15056)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)
% 0.16/0.39 % (15055)First to succeed.
% 0.16/0.39 TRYING [1]
% 0.16/0.39 % (15055)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15049"
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 % (15055)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Theorem for theBenchmark
% 0.16/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.40 % (15055)------------------------------
% 0.16/0.40 % (15055)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.40 % (15055)Termination reason: Refutation
% 0.16/0.40
% 0.16/0.40 % (15055)Memory used [KB]: 1158
% 0.16/0.40 % (15055)Time elapsed: 0.009 s
% 0.16/0.40 % (15055)Instructions burned: 13 (million)
% 0.16/0.40 % (15049)Success in time 0.027 s
%------------------------------------------------------------------------------