TSTP Solution File: KRS152+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS152+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 23:22:19 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 54 ( 18 unt; 0 def)
% Number of atoms : 195 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 242 ( 101 ~; 99 |; 32 &)
% ( 6 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 27 ( 21 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f100,plain,
$false,
inference(subsumption_resolution,[],[f99,f91]) ).
fof(f91,plain,
xsd_string(sK0),
inference(subsumption_resolution,[],[f90,f54]) ).
fof(f54,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,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(f90,plain,
( ~ xsd_integer(sK0)
| xsd_string(sK0) ),
inference(subsumption_resolution,[],[f89,f50]) ).
fof(f50,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f89,plain,
( ~ xsd_integer(sK0)
| xsd_string(sK0)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f88,f51]) ).
fof(f51,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f88,plain,
( ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f87,f48]) ).
fof(f48,plain,
cowlThing(iV21080),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
cowlThing(iV21080),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f87,plain,
( ~ cowlThing(iV21080)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f86,f66]) ).
fof(f66,plain,
cC12(iV21080),
inference(resolution,[],[f63,f44]) ).
fof(f44,plain,
cTEST(iV21080),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
cTEST(iV21080),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f63,plain,
! [X0] :
( ~ cTEST(X0)
| cC12(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ( ~ cC8(X0)
& cC12(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( cTEST(X0)
=> ( ~ cC8(X0)
& cC12(X0) ) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( cTEST(X0)
<=> ( ~ cC8(X0)
& cC12(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f86,plain,
( ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f85,f74]) ).
fof(f74,plain,
cC10(iV21081),
inference(subsumption_resolution,[],[f72,f46]) ).
fof(f46,plain,
cC2(iV21081),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
cC2(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f72,plain,
( cC10(iV21081)
| ~ cC2(iV21081) ),
inference(resolution,[],[f57,f45]) ).
fof(f45,plain,
cC4(iV21081),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
cC4(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f57,plain,
! [X0] :
( ~ cC4(X0)
| cC10(X0)
| ~ cC2(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ( cC10(X0)
| ~ cC4(X0)
| ~ cC2(X0) )
& ( ( cC4(X0)
& cC2(X0) )
| ~ cC10(X0) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ( cC10(X0)
| ~ cC4(X0)
| ~ cC2(X0) )
& ( ( cC4(X0)
& cC2(X0) )
| ~ cC10(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( cC10(X0)
<=> ( cC4(X0)
& cC2(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f85,plain,
( ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f40,f47]) ).
fof(f47,plain,
cowlThing(iV21081),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
cowlThing(iV21081),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f40,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ( ( 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])],[f29,f31,f30]) ).
fof(f30,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(f31,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
=> ( cowlNothing(sK1)
| ~ cowlThing(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f99,plain,
~ xsd_string(sK0),
inference(resolution,[],[f98,f53]) ).
fof(f53,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f98,plain,
xsd_integer(sK0),
inference(subsumption_resolution,[],[f97,f50]) ).
fof(f97,plain,
( xsd_integer(sK0)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f96,f51]) ).
fof(f96,plain,
( xsd_integer(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f95,f91]) ).
fof(f95,plain,
( xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f94,f48]) ).
fof(f94,plain,
( ~ cowlThing(iV21080)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f93,f66]) ).
fof(f93,plain,
( ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f92,f74]) ).
fof(f92,plain,
( ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f41,f47]) ).
fof(f41,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS152+1 : TPTP v8.2.0. Released v3.1.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37 % Computer : n019.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat May 18 22:06:53 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (12842)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (12844)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 % (12845)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)
% 0.15/0.39 % (12843)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39 % (12846)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.39 % (12847)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39 % (12848)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39 % (12849)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 % (12847)First to succeed.
% 0.15/0.39 Detected minimum model sizes of [1,1]
% 0.15/0.39 Detected maximum model sizes of [max,1]
% 0.15/0.39 Detected minimum model sizes of [1,1]
% 0.15/0.39 Detected maximum model sizes of [max,1]
% 0.15/0.39 TRYING [1,1]
% 0.15/0.39 % (12848)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1,1]
% 0.15/0.39 % (12845)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (12847)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12842"
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2,1]
% 0.15/0.39 TRYING [2,1]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3,1]
% 0.15/0.39 TRYING [3,1]
% 0.15/0.39 % (12843)Also succeeded, but the first one will report.
% 0.15/0.39 % (12847)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (12847)------------------------------
% 0.15/0.39 % (12847)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (12847)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (12847)Memory used [KB]: 756
% 0.15/0.39 % (12847)Time elapsed: 0.004 s
% 0.15/0.39 % (12847)Instructions burned: 4 (million)
% 0.15/0.39 % (12842)Success in time 0.007 s
%------------------------------------------------------------------------------