TSTP Solution File: KRS188+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS188+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 07:19:58 EDT 2024
% Result : Theorem 11.97s 2.11s
% Output : Refutation 11.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 9 unt; 0 def)
% Number of atoms : 156 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 167 ( 55 ~; 48 |; 43 &)
% ( 10 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 112 ( 89 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f101500,plain,
$false,
inference(subsumption_resolution,[],[f101498,f234]) ).
fof(f234,plain,
~ isa(wec,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ isa(wec,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ isa(wec,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
isa(wec,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_wec_thm) ).
fof(f101498,plain,
isa(wec,thm),
inference(resolution,[],[f101387,f319]) ).
fof(f319,plain,
! [X0,X1] :
( ~ status(sK46(X0,X1),sK47(X0,X1),X1)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1] :
( isa(X0,X1)
| ( ~ status(sK46(X0,X1),sK47(X0,X1),X1)
& status(sK46(X0,X1),sK47(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47])],[f70,f203]) ).
fof(f203,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
=> ( ~ status(sK46(X0,X1),sK47(X0,X1),X1)
& status(sK46(X0,X1),sK47(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0,X1] :
( isa(X0,X1)
| ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
=> isa(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
<=> isa(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X6,X7] :
( ! [X0,X1] :
( status(X0,X1,X6)
=> status(X0,X1,X7) )
<=> isa(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa) ).
fof(f101387,plain,
status(sK46(wec,thm),sK47(wec,thm),thm),
inference(resolution,[],[f41423,f316]) ).
fof(f316,plain,
! [X0,X1] :
( ~ model(sK45(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK45(X0,X1),X1)
& model(sK45(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f200,f201]) ).
fof(f201,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK45(X0,X1),X1)
& model(sK45(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f200,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) ) ) ),
inference(rectify,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
fof(f41423,plain,
model(sK45(sK46(wec,thm),sK47(wec,thm)),sK47(wec,thm)),
inference(subsumption_resolution,[],[f41412,f234]) ).
fof(f41412,plain,
( isa(wec,thm)
| model(sK45(sK46(wec,thm),sK47(wec,thm)),sK47(wec,thm)) ),
inference(resolution,[],[f4081,f6239]) ).
fof(f6239,plain,
model(sK45(sK46(wec,thm),sK47(wec,thm)),sK46(wec,thm)),
inference(resolution,[],[f1665,f234]) ).
fof(f1665,plain,
! [X0] :
( isa(X0,thm)
| model(sK45(sK46(X0,thm),sK47(X0,thm)),sK46(X0,thm)) ),
inference(resolution,[],[f319,f315]) ).
fof(f315,plain,
! [X0,X1] :
( status(X0,X1,thm)
| model(sK45(X0,X1),X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f4081,plain,
! [X0,X1] :
( ~ model(X1,sK46(wec,X0))
| isa(wec,X0)
| model(X1,sK47(wec,X0)) ),
inference(resolution,[],[f1636,f254]) ).
fof(f254,plain,
! [X0,X1,X4] :
( ~ sP1(X0,X1)
| ~ model(X4,X1)
| model(X4,X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ~ sP0(X1,X0)
| ( ~ model(sK18(X0,X1),X0)
& model(sK18(X0,X1),X1) )
| ! [X3] : ~ model(X3,X1) )
& ( ( sP0(X1,X0)
& ! [X4] :
( model(X4,X0)
| ~ model(X4,X1) )
& model(sK19(X1),X1) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f118,f120,f119]) ).
fof(f119,plain,
! [X0,X1] :
( ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
=> ( ~ model(sK18(X0,X1),X0)
& model(sK18(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
! [X1] :
( ? [X5] : model(X5,X1)
=> model(sK19(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ~ sP0(X1,X0)
| ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
| ! [X3] : ~ model(X3,X1) )
& ( ( sP0(X1,X0)
& ! [X4] :
( model(X4,X0)
| ~ model(X4,X1) )
& ? [X5] : model(X5,X1) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ~ sP0(X0,X1)
| ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
| ! [X4] : ~ model(X4,X0) )
& ( ( sP0(X0,X1)
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& ? [X4] : model(X4,X0) )
| ~ sP1(X1,X0) ) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ~ sP0(X0,X1)
| ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
| ! [X4] : ~ model(X4,X0) )
& ( ( sP0(X0,X1)
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& ? [X4] : model(X4,X0) )
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( sP1(X1,X0)
<=> ( sP0(X0,X1)
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& ? [X4] : model(X4,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1636,plain,
! [X0] :
( sP1(sK47(wec,X0),sK46(wec,X0))
| isa(wec,X0) ),
inference(resolution,[],[f318,f262]) ).
fof(f262,plain,
! [X0,X1] :
( ~ status(X0,X1,wec)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ( sP1(X1,X0)
| ~ status(X0,X1,wec) )
& ( status(X0,X1,wec)
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( sP1(X1,X0)
<=> status(X0,X1,wec) ),
inference(definition_folding,[],[f64,f73,f72]) ).
fof(f72,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f64,plain,
! [X0,X1] :
( ( ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& ? [X4] : model(X4,X0) )
<=> status(X0,X1,wec) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X4] : model(X4,X0) )
<=> status(X0,X1,wec) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X2] : model(X2,X0) )
<=> status(X0,X1,wec) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wec) ).
fof(f318,plain,
! [X0,X1] :
( status(sK46(X0,X1),sK47(X0,X1),X0)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS188+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n009.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 19:51:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (22491)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (22493)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38 % (22494)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)
% 0.16/0.38 % (22495)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.38 % (22497)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.38 % (22496)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.38 % (22492)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.38 % (22498)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)
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [2]
% 0.22/0.39 TRYING [1,1,1]
% 0.22/0.39 TRYING [1,1,1]
% 0.22/0.39 TRYING [2,1,2]
% 0.22/0.39 TRYING [2,1,2]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [2,2,2]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [2,2,2]
% 0.22/0.40 TRYING [3,3,2]
% 0.22/0.40 TRYING [3,3,2]
% 0.22/0.40 TRYING [4]
% 0.22/0.41 TRYING [4]
% 0.22/0.41 TRYING [4,4,2]
% 0.22/0.41 TRYING [4,4,2]
% 0.22/0.43 TRYING [5]
% 0.22/0.44 TRYING [4,4,3]
% 0.22/0.45 TRYING [5]
% 0.22/0.45 TRYING [4,4,3]
% 0.22/0.48 TRYING [5,5,2]
% 0.22/0.49 TRYING [5,5,2]
% 0.22/0.49 TRYING [6]
% 0.22/0.52 TRYING [5,4,3]
% 1.22/0.53 TRYING [6]
% 1.22/0.54 TRYING [4,4,4]
% 1.41/0.56 TRYING [4,4,4]
% 1.41/0.58 TRYING [5,4,4]
% 1.41/0.60 TRYING [6,4,3]
% 1.41/0.61 TRYING [7]
% 1.41/0.63 TRYING [6,4,4]
% 2.06/0.64 TRYING [5,4,4]
% 2.06/0.67 TRYING [7]
% 2.06/0.68 TRYING [5,4,5]
% 2.06/0.69 TRYING [6,5,3]
% 2.41/0.73 TRYING [5,5,3]
% 2.80/0.75 TRYING [6,4,4]
% 2.84/0.80 TRYING [7,4,4]
% 2.84/0.80 TRYING [5,4,5]
% 3.16/0.81 TRYING [8]
% 3.16/0.84 TRYING [7,4,4]
% 3.50/0.85 TRYING [6,4,5]
% 3.50/0.89 TRYING [6,4,5]
% 3.50/0.91 TRYING [8,4,4]
% 3.50/0.91 TRYING [8]
% 3.50/0.93 TRYING [8,4,4]
% 4.16/0.96 TRYING [7,4,5]
% 4.16/0.98 TRYING [7,4,5]
% 4.51/1.02 TRYING [6,5,3]
% 4.51/1.03 TRYING [6,4,6]
% 5.05/1.08 TRYING [9,4,4]
% 5.05/1.09 TRYING [6,4,6]
% 5.42/1.13 TRYING [8,4,5]
% 5.42/1.14 TRYING [9]
% 5.42/1.15 TRYING [9,4,4]
% 5.72/1.19 TRYING [7,4,6]
% 5.72/1.21 TRYING [8,4,5]
% 6.24/1.25 TRYING [7,5,3]
% 6.49/1.28 TRYING [7,4,6]
% 6.49/1.31 TRYING [10,4,4]
% 6.49/1.32 TRYING [9]
% 6.86/1.34 TRYING [7,5,3]
% 7.01/1.37 TRYING [9,4,5]
% 7.01/1.42 TRYING [10,4,4]
% 7.49/1.43 TRYING [8,4,6]
% 7.79/1.49 TRYING [9,4,5]
% 7.79/1.50 TRYING [7,4,7]
% 8.33/1.56 TRYING [8,4,6]
% 8.33/1.56 TRYING [8,5,3]
% 8.56/1.62 TRYING [10]
% 8.56/1.63 TRYING [7,4,7]
% 8.56/1.64 TRYING [11,4,4]
% 9.31/1.70 TRYING [8,5,3]
% 9.31/1.70 TRYING [10,4,5]
% 9.90/1.77 TRYING [9,4,6]
% 9.90/1.78 TRYING [11,4,4]
% 10.23/1.84 TRYING [8,4,7]
% 10.46/1.86 TRYING [10,4,5]
% 10.46/1.91 TRYING [12,4,4]
% 10.46/1.92 TRYING [10]
% 11.04/1.93 TRYING [9,4,6]
% 11.04/1.98 TRYING [11,5,4]
% 11.41/2.01 TRYING [8,4,7]
% 11.97/2.08 TRYING [11,4,5]
% 11.97/2.08 TRYING [12,4,4]
% 11.97/2.10 % (22496)First to succeed.
% 11.97/2.10 % (22496)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22491"
% 11.97/2.11 % (22496)Refutation found. Thanks to Tanya!
% 11.97/2.11 % SZS status Theorem for theBenchmark
% 11.97/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 11.97/2.11 % (22496)------------------------------
% 11.97/2.11 % (22496)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 11.97/2.11 % (22496)Termination reason: Refutation
% 11.97/2.11
% 11.97/2.11 % (22496)Memory used [KB]: 15884
% 11.97/2.11 % (22496)Time elapsed: 1.706 s
% 11.97/2.11 % (22496)Instructions burned: 3804 (million)
% 11.97/2.11 % (22491)Success in time 1.74 s
%------------------------------------------------------------------------------