TSTP Solution File: KRS171+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS171+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 : n029.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 23:22:23 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 7 unt; 0 def)
% Number of atoms : 159 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 188 ( 75 ~; 76 |; 21 &)
% ( 7 <=>; 5 =>; 0 <=; 4 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 51 ( 31 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f49,plain,
$false,
inference(subsumption_resolution,[],[f47,f45]) ).
fof(f45,plain,
rhasHead(sK2,sK3),
inference(duplicate_literal_removal,[],[f44]) ).
fof(f44,plain,
( rhasHead(sK2,sK3)
| rhasHead(sK2,sK3) ),
inference(resolution,[],[f32,f39]) ).
fof(f39,plain,
( rhasLeader(sK2,sK3)
| rhasHead(sK2,sK3) ),
inference(subsumption_resolution,[],[f38,f27]) ).
fof(f27,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(f38,plain,
( rhasHead(sK2,sK3)
| rhasLeader(sK2,sK3)
| ~ cowlThing(sK4) ),
inference(subsumption_resolution,[],[f37,f28]) ).
fof(f28,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f37,plain,
( rhasHead(sK2,sK3)
| rhasLeader(sK2,sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(subsumption_resolution,[],[f25,f36]) ).
fof(f36,plain,
~ sP0,
inference(subsumption_resolution,[],[f35,f34]) ).
fof(f34,plain,
( ~ sP0
| xsd_string(sK1) ),
inference(subsumption_resolution,[],[f23,f30]) ).
fof(f30,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,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(f23,plain,
( ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ sP0 ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f14,f15]) ).
fof(f15,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
=> ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ~ sP0 ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
( ? [X2] :
( ( xsd_integer(X2)
| ~ xsd_string(X2) )
& ( ~ xsd_integer(X2)
| xsd_string(X2) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ? [X2] :
( xsd_string(X2)
<~> ~ xsd_integer(X2) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f35,plain,
( ~ xsd_string(sK1)
| ~ sP0 ),
inference(subsumption_resolution,[],[f24,f29]) ).
fof(f29,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f24,plain,
( xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ sP0 ),
inference(cnf_transformation,[],[f16]) ).
fof(f25,plain,
( rhasHead(sK2,sK3)
| rhasLeader(sK2,sK3)
| sP0
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( ( ~ rhasHead(sK2,sK3)
| ~ rhasLeader(sK2,sK3) )
& ( rhasHead(sK2,sK3)
| rhasLeader(sK2,sK3) ) )
| sP0
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f18,f20,f19]) ).
fof(f19,plain,
( ? [X0,X1] :
( ( ~ rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) )
& ( rhasHead(X0,X1)
| rhasLeader(X0,X1) ) )
=> ( ( ~ rhasHead(sK2,sK3)
| ~ rhasLeader(sK2,sK3) )
& ( rhasHead(sK2,sK3)
| rhasLeader(sK2,sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
( ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) )
=> ( cowlNothing(sK4)
| ~ cowlThing(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X0,X1] :
( ( ~ rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) )
& ( rhasHead(X0,X1)
| rhasLeader(X0,X1) ) )
| sP0
| ? [X2] :
( cowlNothing(X2)
| ~ cowlThing(X2) ) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
( ? [X0,X1] :
( ( ~ rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) )
& ( rhasHead(X0,X1)
| rhasLeader(X0,X1) ) )
| sP0
| ? [X3] :
( cowlNothing(X3)
| ~ cowlThing(X3) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ? [X0,X1] :
( rhasLeader(X0,X1)
<~> rhasHead(X0,X1) )
| sP0
| ? [X3] :
( cowlNothing(X3)
| ~ cowlThing(X3) ) ),
inference(definition_folding,[],[f8,f11]) ).
fof(f8,plain,
( ? [X0,X1] :
( rhasLeader(X0,X1)
<~> rhasHead(X0,X1) )
| ? [X2] :
( xsd_string(X2)
<~> ~ xsd_integer(X2) )
| ? [X3] :
( cowlNothing(X3)
| ~ cowlThing(X3) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ( ! [X0,X1] :
( rhasLeader(X0,X1)
<=> rhasHead(X0,X1) )
& ! [X2] :
( xsd_string(X2)
<=> ~ xsd_integer(X2) )
& ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( ! [X0,X1] :
( rhasLeader(X0,X1)
<=> rhasHead(X0,X1) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( ! [X0,X1] :
( rhasLeader(X0,X1)
<=> rhasHead(X0,X1) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f32,plain,
! [X0,X1] :
( ~ rhasLeader(X0,X1)
| rhasHead(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( rhasLeader(X0,X1)
=> rhasHead(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f47,plain,
~ rhasHead(sK2,sK3),
inference(resolution,[],[f46,f42]) ).
fof(f42,plain,
( ~ rhasLeader(sK2,sK3)
| ~ rhasHead(sK2,sK3) ),
inference(subsumption_resolution,[],[f41,f27]) ).
fof(f41,plain,
( ~ rhasHead(sK2,sK3)
| ~ rhasLeader(sK2,sK3)
| ~ cowlThing(sK4) ),
inference(subsumption_resolution,[],[f40,f28]) ).
fof(f40,plain,
( ~ rhasHead(sK2,sK3)
| ~ rhasLeader(sK2,sK3)
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(subsumption_resolution,[],[f26,f36]) ).
fof(f26,plain,
( ~ rhasHead(sK2,sK3)
| ~ rhasLeader(sK2,sK3)
| sP0
| cowlNothing(sK4)
| ~ cowlThing(sK4) ),
inference(cnf_transformation,[],[f21]) ).
fof(f46,plain,
rhasLeader(sK2,sK3),
inference(resolution,[],[f45,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ rhasHead(X0,X1)
| rhasLeader(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( rhasLeader(X0,X1)
| ~ rhasHead(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( rhasHead(X0,X1)
=> rhasLeader(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS171+1 : TPTP v8.2.0. Released v3.1.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 22:24:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (7188)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (7192)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 % (7193)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 % (7194)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36 % (7189)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36 % (7191)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)
% 0.13/0.36 % (7195)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)
% 0.13/0.36 % (7190)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 Detected minimum model sizes of [1]
% 0.13/0.37 Detected maximum model sizes of [4]
% 0.13/0.37 % (7193)First to succeed.
% 0.13/0.37 Detected minimum model sizes of [1]
% 0.13/0.37 Detected maximum model sizes of [4]
% 0.13/0.37 % (7194)Also succeeded, but the first one will report.
% 0.13/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.13/0.37 Detected maximum model sizes of [1,1,1,1]
% 0.13/0.37 % (7191)Also succeeded, but the first one will report.
% 0.13/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.13/0.37 Detected maximum model sizes of [1,1,1,1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 % (7189)Also succeeded, but the first one will report.
% 0.13/0.37 % (7195)Also succeeded, but the first one will report.
% 0.13/0.37 % (7193)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7188"
% 0.13/0.37 TRYING [1,1,1,1]
% 0.13/0.37 TRYING [1,1,1,1]
% 0.13/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.13/0.37 % (7192)Refutation not found, incomplete strategy% (7192)------------------------------
% 0.13/0.37 % (7192)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (7192)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37 % (7192)Memory used [KB]: 742
% 0.13/0.37 % (7192)Time elapsed: 0.004 s
% 0.13/0.37 % (7192)Instructions burned: 4 (million)
% 0.13/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.13/0.37 % (7190)Refutation not found, incomplete strategy% (7190)------------------------------
% 0.13/0.37 % (7190)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (7190)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37 % (7190)Memory used [KB]: 742
% 0.13/0.37 % (7190)Time elapsed: 0.004 s
% 0.13/0.37 % (7190)Instructions burned: 4 (million)
% 0.13/0.37 % (7192)------------------------------
% 0.13/0.37 % (7192)------------------------------
% 0.13/0.37 % (7193)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.37 % (7193)------------------------------
% 0.20/0.37 % (7193)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.37 % (7193)Termination reason: Refutation
% 0.20/0.37
% 0.20/0.37 % (7193)Memory used [KB]: 748
% 0.20/0.37 % (7193)Time elapsed: 0.003 s
% 0.20/0.37 % (7193)Instructions burned: 3 (million)
% 0.20/0.37 % (7188)Success in time 0.008 s
%------------------------------------------------------------------------------