TSTP Solution File: LAT300+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LAT300+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n020.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 : Wed Aug 31 17:36:47 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 11 unt; 0 def)
% Number of atoms : 175 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 210 ( 86 ~; 75 |; 36 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 83 ( 71 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f358,plain,
$false,
inference(subsumption_resolution,[],[f357,f152]) ).
fof(f152,plain,
l3_lattices(sK3),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( l3_lattices(sK3)
& ~ v3_struct_0(sK3)
& v10_lattices(sK3)
& m2_filter_2(sK4,sK3)
& ! [X2] :
( ~ r2_hidden(X2,sK4)
| ~ m1_subset_1(X2,u1_struct_0(sK3)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f62,f107,f106]) ).
fof(f106,plain,
( ? [X0] :
( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& ? [X1] :
( m2_filter_2(X1,X0)
& ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) )
=> ( l3_lattices(sK3)
& ~ v3_struct_0(sK3)
& v10_lattices(sK3)
& ? [X1] :
( m2_filter_2(X1,sK3)
& ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(sK3)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
( ? [X1] :
( m2_filter_2(X1,sK3)
& ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(sK3)) ) )
=> ( m2_filter_2(sK4,sK3)
& ! [X2] :
( ~ r2_hidden(X2,sK4)
| ~ m1_subset_1(X2,u1_struct_0(sK3)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
? [X0] :
( l3_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& ? [X1] :
( m2_filter_2(X1,X0)
& ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
? [X0] :
( ? [X1] :
( m2_filter_2(X1,X0)
& ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v10_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ? [X2] :
( r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v10_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ? [X2] :
( r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_filter_2) ).
fof(f357,plain,
~ l3_lattices(sK3),
inference(subsumption_resolution,[],[f356,f151]) ).
fof(f151,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f108]) ).
fof(f356,plain,
( v3_struct_0(sK3)
| ~ l3_lattices(sK3) ),
inference(subsumption_resolution,[],[f354,f150]) ).
fof(f150,plain,
v10_lattices(sK3),
inference(cnf_transformation,[],[f108]) ).
fof(f354,plain,
( ~ v10_lattices(sK3)
| ~ l3_lattices(sK3)
| v3_struct_0(sK3) ),
inference(resolution,[],[f293,f149]) ).
fof(f149,plain,
m2_filter_2(sK4,sK3),
inference(cnf_transformation,[],[f108]) ).
fof(f293,plain,
! [X0] :
( ~ m2_filter_2(sK4,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f277,f177]) ).
fof(f177,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| v3_struct_0(X0)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( v10_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f277,plain,
v1_xboole_0(sK4),
inference(resolution,[],[f270,f164]) ).
fof(f164,plain,
! [X0] : m1_subset_1(sK8(X0),X0),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] : m1_subset_1(sK8(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f23,f119]) ).
fof(f119,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK8(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f23,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f270,plain,
! [X0] :
( ~ m1_subset_1(X0,sK4)
| v1_xboole_0(sK4) ),
inference(resolution,[],[f269,f143]) ).
fof(f143,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X1,X0] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X1,X0] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f269,plain,
! [X0] : ~ r2_hidden(X0,sK4),
inference(subsumption_resolution,[],[f267,f148]) ).
fof(f148,plain,
! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(sK3))
| ~ r2_hidden(X2,sK4) ),
inference(cnf_transformation,[],[f108]) ).
fof(f267,plain,
! [X0] :
( m1_subset_1(X0,u1_struct_0(sK3))
| ~ r2_hidden(X0,sK4) ),
inference(resolution,[],[f263,f149]) ).
fof(f263,plain,
! [X2,X3] :
( ~ m2_filter_2(X3,sK3)
| ~ r2_hidden(X2,X3)
| m1_subset_1(X2,u1_struct_0(sK3)) ),
inference(resolution,[],[f260,f255]) ).
fof(f255,plain,
! [X0] :
( m2_lattice4(X0,sK3)
| ~ m2_filter_2(X0,sK3) ),
inference(subsumption_resolution,[],[f254,f150]) ).
fof(f254,plain,
! [X0] :
( ~ m2_filter_2(X0,sK3)
| ~ v10_lattices(sK3)
| m2_lattice4(X0,sK3) ),
inference(subsumption_resolution,[],[f252,f151]) ).
fof(f252,plain,
! [X0] :
( v3_struct_0(sK3)
| m2_lattice4(X0,sK3)
| ~ v10_lattices(sK3)
| ~ m2_filter_2(X0,sK3) ),
inference(resolution,[],[f178,f152]) ).
fof(f178,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f260,plain,
! [X0,X1] :
( ~ m2_lattice4(X0,sK3)
| m1_subset_1(X1,u1_struct_0(sK3))
| ~ r2_hidden(X1,X0) ),
inference(resolution,[],[f259,f158]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X0,X2)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X0,X2,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X2,X0,X1] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f259,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ m2_lattice4(X0,sK3) ),
inference(subsumption_resolution,[],[f258,f151]) ).
fof(f258,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ m2_lattice4(X0,sK3)
| v3_struct_0(sK3) ),
inference(subsumption_resolution,[],[f256,f150]) ).
fof(f256,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v10_lattices(sK3)
| v3_struct_0(sK3)
| ~ m2_lattice4(X0,sK3) ),
inference(resolution,[],[f163,f152]) ).
fof(f163,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ v10_lattices(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT300+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 01:05:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (8362)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50 % (8363)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (8362)First to succeed.
% 0.20/0.51 % (8370)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (8364)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (8383)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51 % (8365)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51 % (8360)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51 % (8366)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (8362)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (8362)------------------------------
% 0.20/0.51 % (8362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (8362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (8362)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (8362)Memory used [KB]: 1151
% 0.20/0.51 % (8362)Time elapsed: 0.098 s
% 0.20/0.51 % (8362)Instructions burned: 9 (million)
% 0.20/0.51 % (8362)------------------------------
% 0.20/0.51 % (8362)------------------------------
% 0.20/0.51 % (8356)Success in time 0.157 s
%------------------------------------------------------------------------------