TSTP Solution File: KRS134+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS134+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 : n016.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 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 7 unt; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 161 ( 63 ~; 53 |; 28 &)
% ( 4 <=>; 11 =>; 0 <=; 2 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 48 ( 31 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,plain,
$false,
inference(subsumption_resolution,[],[f45,f42]) ).
fof(f42,plain,
~ cA(sK3(sK4)),
inference(subsumption_resolution,[],[f41,f40]) ).
fof(f40,plain,
~ sP1,
inference(subsumption_resolution,[],[f39,f38]) ).
fof(f38,plain,
( ~ sP1
| xsd_string(sK2) ),
inference(subsumption_resolution,[],[f24,f33]) ).
fof(f33,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,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(f24,plain,
( ~ xsd_integer(sK2)
| xsd_string(sK2)
| ~ sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( ( xsd_integer(sK2)
| ~ xsd_string(sK2) )
& ( ~ xsd_integer(sK2)
| xsd_string(sK2) ) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f13,f14]) ).
fof(f14,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
=> ( ( xsd_integer(sK2)
| ~ xsd_string(sK2) )
& ( ~ xsd_integer(sK2)
| xsd_string(sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ~ sP1 ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
( ? [X2] :
( ( xsd_integer(X2)
| ~ xsd_string(X2) )
& ( ~ xsd_integer(X2)
| xsd_string(X2) ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( ? [X2] :
( xsd_string(X2)
<~> ~ xsd_integer(X2) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f39,plain,
( ~ xsd_string(sK2)
| ~ sP1 ),
inference(subsumption_resolution,[],[f25,f32]) ).
fof(f32,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f25,plain,
( xsd_integer(sK2)
| ~ xsd_string(sK2)
| ~ sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f41,plain,
( ~ cA(sK3(sK4))
| sP1 ),
inference(resolution,[],[f27,f36]) ).
fof(f36,plain,
( sP0(sK4)
| sP1 ),
inference(subsumption_resolution,[],[f35,f30]) ).
fof(f30,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f35,plain,
( sP0(sK4)
| sP1
| ~ cowlThing(sK5) ),
inference(subsumption_resolution,[],[f29,f31]) ).
fof(f31,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f29,plain,
( sP0(sK4)
| sP1
| cowlNothing(sK5)
| ~ cowlThing(sK5) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( sP0(sK4)
& cowlThing(sK4) )
| sP1
| cowlNothing(sK5)
| ~ cowlThing(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f19,f21,f20]) ).
fof(f20,plain,
( ? [X0] :
( sP0(X0)
& cowlThing(X0) )
=> ( sP0(sK4)
& cowlThing(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
=> ( cowlNothing(sK5)
| ~ cowlThing(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ? [X0] :
( sP0(X0)
& cowlThing(X0) )
| sP1
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
( ? [X0] :
( sP0(X0)
& cowlThing(X0) )
| sP1
| ? [X3] :
( cowlNothing(X3)
| ~ cowlThing(X3) ) ),
inference(definition_folding,[],[f7,f10,f9]) ).
fof(f9,plain,
! [X0] :
( ? [X1] :
( ~ cA(X1)
& rprop(X0,X1) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f7,plain,
( ? [X0] :
( ? [X1] :
( ~ cA(X1)
& rprop(X0,X1) )
& cowlThing(X0) )
| ? [X2] :
( xsd_string(X2)
<~> ~ xsd_integer(X2) )
| ? [X3] :
( cowlNothing(X3)
| ~ cowlThing(X3) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
~ ( ! [X0] :
( cowlThing(X0)
=> ! [X1] :
( rprop(X0,X1)
=> cA(X1) ) )
& ! [X2] :
( xsd_string(X2)
<=> ~ xsd_integer(X2) )
& ! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ) ),
inference(rectify,[],[f5]) ).
fof(f5,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
=> ! [X1] :
( rprop(X0,X1)
=> cA(X1) ) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
( ! [X0] :
( cowlThing(X0)
=> ! [X1] :
( rprop(X0,X1)
=> cA(X1) ) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f27,plain,
! [X0] :
( ~ sP0(X0)
| ~ cA(sK3(X0)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( ( ~ cA(sK3(X0))
& rprop(X0,sK3(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f16,f17]) ).
fof(f17,plain,
! [X0] :
( ? [X1] :
( ~ cA(X1)
& rprop(X0,X1) )
=> ( ~ cA(sK3(X0))
& rprop(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0] :
( ? [X1] :
( ~ cA(X1)
& rprop(X0,X1) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f9]) ).
fof(f45,plain,
cA(sK3(sK4)),
inference(resolution,[],[f44,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ rprop(X0,X1)
| cA(X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1] :
( cA(X1)
| ~ rprop(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( rprop(X0,X1)
=> cA(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f44,plain,
rprop(sK4,sK3(sK4)),
inference(subsumption_resolution,[],[f43,f40]) ).
fof(f43,plain,
( rprop(sK4,sK3(sK4))
| sP1 ),
inference(resolution,[],[f26,f36]) ).
fof(f26,plain,
! [X0] :
( ~ sP0(X0)
| rprop(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS134+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n016.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 19:51:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (12564)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (12565)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (12566)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (12568)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 % (12567)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 % (12570)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (12569)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (12571)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 TRYING [1]
% 0.14/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.37 Detected maximum model sizes of [1,1,1,1]
% 0.14/0.37 TRYING [1,1,1,1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.37 Detected maximum model sizes of [1,1,1,1]
% 0.14/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37 % (12568)Refutation not found, incomplete strategy% (12568)------------------------------
% 0.14/0.37 % (12568)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (12568)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37 % (12568)Memory used [KB]: 730
% 0.14/0.37 % (12569)First to succeed.
% 0.14/0.37 % (12568)Time elapsed: 0.003 s
% 0.14/0.37 % (12568)Instructions burned: 3 (million)
% 0.14/0.37 % (12565)Also succeeded, but the first one will report.
% 0.14/0.37 TRYING [1,1,1,1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37 % (12566)Refutation not found, incomplete strategy% (12566)------------------------------
% 0.14/0.37 % (12566)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (12566)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37 % (12566)Memory used [KB]: 734
% 0.14/0.37 % (12566)Time elapsed: 0.003 s
% 0.14/0.37 % (12570)Also succeeded, but the first one will report.
% 0.14/0.37 % (12566)Instructions burned: 3 (million)
% 0.14/0.37 % (12567)Also succeeded, but the first one will report.
% 0.14/0.37 % (12571)Also succeeded, but the first one will report.
% 0.14/0.37 % (12568)------------------------------
% 0.14/0.37 % (12568)------------------------------
% 0.14/0.37 % (12566)------------------------------
% 0.14/0.37 % (12566)------------------------------
% 0.14/0.37 % (12569)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12564"
% 0.14/0.37 % (12569)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (12569)------------------------------
% 0.14/0.37 % (12569)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (12569)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (12569)Memory used [KB]: 748
% 0.14/0.37 % (12569)Time elapsed: 0.004 s
% 0.14/0.37 % (12569)Instructions burned: 3 (million)
% 0.14/0.37 % (12564)Success in time 0.018 s
%------------------------------------------------------------------------------