TSTP Solution File: LAT300+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT300+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 23:39:06 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 10 unt; 0 def)
% Number of atoms : 197 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 254 ( 108 ~; 97 |; 36 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 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 : 81 ( 69 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f357,plain,
$false,
inference(resolution,[],[f354,f161]) ).
fof(f161,plain,
! [X0] : m1_subset_1(sK8(X0),X0),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] : m1_subset_1(sK8(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f23,f106]) ).
fof(f106,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/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f354,plain,
! [X0] : ~ m1_subset_1(X0,sK2),
inference(resolution,[],[f351,f129]) ).
fof(f129,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ! [X2] :
( ~ r2_hidden(X2,sK2)
| ~ m1_subset_1(X2,u1_struct_0(sK1)) )
& m2_filter_2(sK2,sK1)
& l3_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f50,f93,f92]) ).
fof(f92,plain,
( ? [X0] :
( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(sK1)) )
& m2_filter_2(X1,sK1) )
& l3_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(sK1)) )
& m2_filter_2(X1,sK1) )
=> ( ! [X2] :
( ~ r2_hidden(X2,sK2)
| ~ m1_subset_1(X2,u1_struct_0(sK1)) )
& m2_filter_2(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(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] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ? [X2] :
( r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_filter_2) ).
fof(f351,plain,
! [X0] :
( ~ l3_lattices(sK1)
| ~ m1_subset_1(X0,sK2) ),
inference(resolution,[],[f350,f128]) ).
fof(f128,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f94]) ).
fof(f350,plain,
! [X0] :
( ~ v10_lattices(sK1)
| ~ m1_subset_1(X0,sK2)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f346,f127]) ).
fof(f127,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f94]) ).
fof(f346,plain,
! [X0] :
( v3_struct_0(sK1)
| ~ m1_subset_1(X0,sK2)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f343,f252]) ).
fof(f252,plain,
~ v1_xboole_0(sK2),
inference(resolution,[],[f251,f129]) ).
fof(f251,plain,
( ~ l3_lattices(sK1)
| ~ v1_xboole_0(sK2) ),
inference(resolution,[],[f250,f128]) ).
fof(f250,plain,
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ v1_xboole_0(sK2) ),
inference(resolution,[],[f247,f127]) ).
fof(f247,plain,
( v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ v1_xboole_0(sK2) ),
inference(resolution,[],[f151,f130]) ).
fof(f130,plain,
m2_filter_2(sK2,sK1),
inference(cnf_transformation,[],[f94]) ).
fof(f151,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f343,plain,
! [X0] :
( v1_xboole_0(sK2)
| v3_struct_0(sK1)
| ~ m1_subset_1(X0,sK2)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f340,f130]) ).
fof(f340,plain,
! [X0] :
( ~ m2_filter_2(sK2,sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| ~ m1_subset_1(X0,sK2)
| v1_xboole_0(sK2)
| ~ l3_lattices(sK1) ),
inference(duplicate_literal_removal,[],[f339]) ).
fof(f339,plain,
! [X0] :
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| ~ m1_subset_1(X0,sK2)
| v1_xboole_0(sK2)
| ~ m2_filter_2(sK2,sK1)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f299,f152]) ).
fof(f152,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f299,plain,
! [X0] :
( ~ m2_lattice4(sK2,sK1)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1)
| ~ m1_subset_1(X0,sK2)
| v1_xboole_0(sK2) ),
inference(resolution,[],[f153,f274]) ).
fof(f274,plain,
! [X0] :
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(X0,sK2)
| v1_xboole_0(sK2) ),
inference(duplicate_literal_removal,[],[f273]) ).
fof(f273,plain,
! [X0] :
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(X0,sK2)
| v1_xboole_0(sK2)
| v1_xboole_0(sK2) ),
inference(factoring,[],[f239]) ).
fof(f239,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(X1,sK2)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK2) ),
inference(resolution,[],[f236,f167]) ).
fof(f167,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f236,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(X1,sK2)
| v1_xboole_0(sK2) ),
inference(resolution,[],[f175,f216]) ).
fof(f216,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(X0,sK2)
| v1_xboole_0(sK2) ),
inference(resolution,[],[f167,f131]) ).
fof(f131,plain,
! [X2] :
( ~ r2_hidden(X2,sK2)
| ~ m1_subset_1(X2,u1_struct_0(sK1)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f175,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f153,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_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/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LAT300+1 : TPTP v8.2.0. Released v3.4.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 20:13:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (20415)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (20420)WARNING: value z3 for option sas not known
% 0.15/0.38 % (20418)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (20419)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (20420)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (20422)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (20423)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (20424)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (20421)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (20423)First to succeed.
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (20423)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20415"
% 0.15/0.39 TRYING [3]
% 0.15/0.40 % (20423)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Theorem for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (20423)------------------------------
% 0.15/0.40 % (20423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (20423)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (20423)Memory used [KB]: 963
% 0.15/0.40 % (20423)Time elapsed: 0.013 s
% 0.15/0.40 % (20423)Instructions burned: 18 (million)
% 0.15/0.40 % (20415)Success in time 0.03 s
%------------------------------------------------------------------------------