TSTP Solution File: KRS137+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS137+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 07:19:48 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 47 ( 16 unt; 0 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 216 ( 91 ~; 92 |; 25 &)
% ( 5 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 23 ( 17 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f50,plain,
$false,
inference(subsumption_resolution,[],[f49,f41]) ).
fof(f41,plain,
xsd_string(sK0),
inference(subsumption_resolution,[],[f40,f27]) ).
fof(f27,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,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(f40,plain,
( ~ xsd_integer(sK0)
| xsd_string(sK0) ),
inference(subsumption_resolution,[],[f39,f24]) ).
fof(f24,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(f39,plain,
( ~ xsd_integer(sK0)
| xsd_string(sK0)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f38,f25]) ).
fof(f25,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f38,plain,
( ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f37,f32]) ).
fof(f32,plain,
cCar(iauto),
inference(resolution,[],[f29,f21]) ).
fof(f21,plain,
cAutomobile(iauto),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
cAutomobile(iauto),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f29,plain,
! [X0] :
( ~ cAutomobile(X0)
| cCar(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ( cCar(X0)
| ~ cAutomobile(X0) )
& ( cAutomobile(X0)
| ~ cCar(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( cCar(X0)
<=> cAutomobile(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f37,plain,
( ~ cCar(iauto)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f36,f23]) ).
fof(f23,plain,
cowlThing(iauto),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
cowlThing(iauto),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f36,plain,
( ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f35,f22]) ).
fof(f22,plain,
cowlThing(icar),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
cowlThing(icar),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f35,plain,
( ~ cowlThing(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f18,f31]) ).
fof(f31,plain,
cAutomobile(icar),
inference(resolution,[],[f28,f20]) ).
fof(f20,plain,
cCar(icar),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
cCar(icar),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f28,plain,
! [X0] :
( ~ cCar(X0)
| cAutomobile(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f18,plain,
( ~ cAutomobile(icar)
| ~ cowlThing(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( ~ cAutomobile(icar)
| ~ cowlThing(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ( ( 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])],[f12,f14,f13]) ).
fof(f13,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(f14,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
=> ( cowlNothing(sK1)
| ~ cowlThing(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ~ cAutomobile(icar)
| ~ cowlThing(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ? [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,
( ~ cAutomobile(icar)
| ~ cowlThing(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
~ ( cAutomobile(icar)
& cowlThing(icar)
& cowlThing(iauto)
& cCar(iauto)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ( cAutomobile(icar)
& cowlThing(icar)
& cowlThing(iauto)
& cCar(iauto)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
( cAutomobile(icar)
& cowlThing(icar)
& cowlThing(iauto)
& cCar(iauto)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f49,plain,
~ xsd_string(sK0),
inference(resolution,[],[f48,f26]) ).
fof(f26,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f48,plain,
xsd_integer(sK0),
inference(subsumption_resolution,[],[f47,f24]) ).
fof(f47,plain,
( xsd_integer(sK0)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f46,f25]) ).
fof(f46,plain,
( xsd_integer(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f45,f41]) ).
fof(f45,plain,
( xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f44,f32]) ).
fof(f44,plain,
( ~ cCar(iauto)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f43,f23]) ).
fof(f43,plain,
( ~ cowlThing(iauto)
| ~ cCar(iauto)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f42,f22]) ).
fof(f42,plain,
( ~ cowlThing(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(subsumption_resolution,[],[f19,f31]) ).
fof(f19,plain,
( ~ cAutomobile(icar)
| ~ cowlThing(icar)
| ~ cowlThing(iauto)
| ~ cCar(iauto)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS137+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n022.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 : Fri May 3 19:53:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (22905)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (22909)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 Detected minimum model sizes of [1,1]
% 0.14/0.37 Detected maximum model sizes of [3,1]
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 TRYING [2,1]
% 0.14/0.37 TRYING [3,1]
% 0.14/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37 % (22909)Refutation not found, incomplete strategy% (22909)------------------------------
% 0.14/0.37 % (22909)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (22909)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37 % (22909)Memory used [KB]: 734
% 0.14/0.37 % (22909)Time elapsed: 0.003 s
% 0.14/0.37 % (22909)Instructions burned: 4 (million)
% 0.14/0.37 % (22909)------------------------------
% 0.14/0.37 % (22909)------------------------------
% 0.14/0.37 % (22908)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (22910)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)
% 0.14/0.37 % (22911)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (22912)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (22914)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 % (22913)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected maximum model sizes of [4]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 Detected minimum model sizes of [1,1]
% 0.14/0.38 Detected maximum model sizes of [3,1]
% 0.14/0.38 % (22912)First to succeed.
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected maximum model sizes of [4]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (22910)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [2,1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (22908)Also succeeded, but the first one will report.
% 0.14/0.38 % (22913)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [3,1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (22912)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22905"
% 0.14/0.38 % (22914)Also succeeded, but the first one will report.
% 0.14/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.38 % (22911)Refutation not found, incomplete strategy% (22911)------------------------------
% 0.14/0.38 % (22911)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (22911)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38 % (22911)Memory used [KB]: 734
% 0.14/0.38 % (22911)Time elapsed: 0.004 s
% 0.14/0.38 % (22911)Instructions burned: 4 (million)
% 0.14/0.38 % (22911)------------------------------
% 0.14/0.38 % (22911)------------------------------
% 0.14/0.38 % (22912)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (22912)------------------------------
% 0.14/0.38 % (22912)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (22912)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (22912)Memory used [KB]: 748
% 0.14/0.38 % (22912)Time elapsed: 0.004 s
% 0.14/0.38 % (22912)Instructions burned: 3 (million)
% 0.14/0.38 % (22905)Success in time 0.018 s
%------------------------------------------------------------------------------