TSTP Solution File: KRS169+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS169+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 : n014.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 07:19:54 EDT 2024
% Result : Theorem 0.12s 0.34s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 59 ( 14 unt; 0 def)
% Number of atoms : 170 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 187 ( 76 ~; 74 |; 21 &)
% ( 12 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 8 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 27 ( 21 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f74,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f57,f58,f59,f61,f65,f68,f71,f73]) ).
fof(f73,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f72]) ).
fof(f72,plain,
( $false
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f35,f24]) ).
fof(f24,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(f35,plain,
( cowlNothing(sK1)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl2_2
<=> cowlNothing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f71,plain,
( ~ spl2_3
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f70,plain,
( $false
| ~ spl2_3
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f69,f38]) ).
fof(f38,plain,
( xsd_string(sK0)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl2_3
<=> xsd_string(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f69,plain,
( ~ xsd_string(sK0)
| ~ spl2_4 ),
inference(resolution,[],[f43,f25]) ).
fof(f25,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,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(f43,plain,
( xsd_integer(sK0)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl2_4
<=> xsd_integer(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f68,plain,
( spl2_3
| spl2_4 ),
inference(avatar_contradiction_clause,[],[f67]) ).
fof(f67,plain,
( $false
| spl2_3
| spl2_4 ),
inference(subsumption_resolution,[],[f66,f39]) ).
fof(f39,plain,
( ~ xsd_string(sK0)
| spl2_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f66,plain,
( xsd_string(sK0)
| spl2_4 ),
inference(resolution,[],[f42,f26]) ).
fof(f26,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f42,plain,
( ~ xsd_integer(sK0)
| spl2_4 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f65,plain,
spl2_6,
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f64,plain,
( $false
| spl2_6 ),
inference(subsumption_resolution,[],[f63,f22]) ).
fof(f22,plain,
rhasLeader(iX,iY),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
rhasLeader(iX,iY),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f63,plain,
( ~ rhasLeader(iX,iY)
| spl2_6 ),
inference(resolution,[],[f27,f51]) ).
fof(f51,plain,
( ~ rhasHead(iX,iY)
| spl2_6 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl2_6
<=> rhasHead(iX,iY) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f27,plain,
! [X0,X1] :
( rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( rhasLeader(X0,X1)
=> rhasHead(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( rhasLeader(X0,X1)
<=> rhasHead(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f61,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f60,plain,
( $false
| spl2_1 ),
inference(resolution,[],[f23,f31]) ).
fof(f31,plain,
( ~ cowlThing(sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl2_1
<=> cowlThing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f23,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f59,plain,
spl2_5,
inference(avatar_split_clause,[],[f21,f45]) ).
fof(f45,plain,
( spl2_5
<=> cowlThing(iX) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f21,plain,
cowlThing(iX),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
cowlThing(iX),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f58,plain,
spl2_7,
inference(avatar_split_clause,[],[f20,f53]) ).
fof(f53,plain,
( spl2_7
<=> cowlThing(iY) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f20,plain,
cowlThing(iY),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
cowlThing(iY),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f57,plain,
( ~ spl2_1
| spl2_2
| spl2_3
| ~ spl2_4
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f18,f53,f49,f45,f41,f37,f33,f29]) ).
fof(f18,plain,
( ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ( ( 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])],[f13,f15,f14]) ).
fof(f14,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(f15,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
=> ( cowlNothing(sK1)
| ~ cowlThing(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
( ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
~ ( cowlThing(iY)
& rhasHead(iX,iY)
& cowlThing(iX)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,negated_conjecture,
~ ( cowlThing(iY)
& rhasHead(iX,iY)
& cowlThing(iX)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
( cowlThing(iY)
& rhasHead(iX,iY)
& cowlThing(iX)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f56,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_3
| spl2_4
| ~ spl2_5
| ~ spl2_6
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f19,f53,f49,f45,f41,f37,f33,f29]) ).
fof(f19,plain,
( ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : KRS169+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32 % Computer : n014.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri May 3 19:52:07 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % (7670)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.34 % (7676)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.34 % (7671)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.34 % (7677)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)
% 0.12/0.34 % (7672)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.34 % (7674)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.34 % (7673)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)
% 0.12/0.34 % (7675)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.34 % (7676)First to succeed.
% 0.12/0.34 % (7675)Also succeeded, but the first one will report.
% 0.12/0.34 Detected minimum model sizes of [1]
% 0.12/0.34 Detected maximum model sizes of [4]
% 0.12/0.34 TRYING [1]
% 0.12/0.34 Detected minimum model sizes of [1]
% 0.12/0.34 Detected maximum model sizes of [4]
% 0.12/0.34 Detected minimum model sizes of [1,1]
% 0.12/0.34 Detected maximum model sizes of [3,1]
% 0.12/0.34 Detected minimum model sizes of [1,1]
% 0.12/0.34 Detected maximum model sizes of [3,1]
% 0.12/0.34 TRYING [1,1]
% 0.12/0.34 TRYING [1]
% 0.12/0.34 TRYING [1,1]
% 0.12/0.34 % (7676)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7670"
% 0.12/0.34 % (7673)Also succeeded, but the first one will report.
% 0.12/0.34 TRYING [2]
% 0.12/0.34 TRYING [2,1]
% 0.12/0.34 TRYING [2]
% 0.12/0.34 TRYING [2,1]
% 0.12/0.34 TRYING [3]
% 0.12/0.34 % (7676)Refutation found. Thanks to Tanya!
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.34 % (7676)------------------------------
% 0.12/0.34 % (7676)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.34 % (7676)Termination reason: Refutation
% 0.12/0.34
% 0.12/0.34 % (7676)Memory used [KB]: 751
% 0.12/0.34 % (7676)Time elapsed: 0.003 s
% 0.12/0.34 % (7676)Instructions burned: 3 (million)
% 0.12/0.34 % (7670)Success in time 0.016 s
%------------------------------------------------------------------------------