TSTP Solution File: LAT292+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT292+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 : Tue Apr 30 13:22:05 EDT 2024
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 6
% Syntax : Number of formulae : 57 ( 9 unt; 0 def)
% Number of atoms : 299 ( 9 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 418 ( 176 ~; 168 |; 67 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 30 ( 25 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1559,plain,
$false,
inference(resolution,[],[f1555,f338]) ).
fof(f338,plain,
l3_lattices(sK7),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
( ! [X1] :
( ~ r1_filter_1(sK7,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) )
& l3_lattices(sK7)
& ~ v3_realset2(sK7)
& v17_lattices(sK7)
& v10_lattices(sK7)
& ~ v3_struct_0(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f138,f261]) ).
fof(f261,plain,
( ? [X0] :
( ! [X1] :
( ~ r1_filter_1(X0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ! [X1] :
( ~ r1_filter_1(sK7,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) )
& l3_lattices(sK7)
& ~ v3_realset2(sK7)
& v17_lattices(sK7)
& v10_lattices(sK7)
& ~ v3_struct_0(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
? [X0] :
( ! [X1] :
( ~ r1_filter_1(X0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
? [X0] :
( ! [X1] :
( ~ r1_filter_1(X0,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( r1_filter_1(X0,k6_lopclset(X1))
& l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( r1_filter_1(X0,k6_lopclset(X1))
& l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_lopclset) ).
fof(f1555,plain,
~ l3_lattices(sK7),
inference(resolution,[],[f1552,f335]) ).
fof(f335,plain,
v10_lattices(sK7),
inference(cnf_transformation,[],[f262]) ).
fof(f1552,plain,
( ~ v10_lattices(sK7)
| ~ l3_lattices(sK7) ),
inference(resolution,[],[f1551,f336]) ).
fof(f336,plain,
v17_lattices(sK7),
inference(cnf_transformation,[],[f262]) ).
fof(f1551,plain,
( ~ v17_lattices(sK7)
| ~ l3_lattices(sK7)
| ~ v10_lattices(sK7) ),
inference(resolution,[],[f1550,f334]) ).
fof(f334,plain,
~ v3_struct_0(sK7),
inference(cnf_transformation,[],[f262]) ).
fof(f1550,plain,
( v3_struct_0(sK7)
| ~ l3_lattices(sK7)
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7) ),
inference(resolution,[],[f1549,f337]) ).
fof(f337,plain,
~ v3_realset2(sK7),
inference(cnf_transformation,[],[f262]) ).
fof(f1549,plain,
( v3_realset2(sK7)
| ~ v10_lattices(sK7)
| ~ l3_lattices(sK7)
| ~ v17_lattices(sK7)
| v3_struct_0(sK7) ),
inference(duplicate_literal_removal,[],[f1548]) ).
fof(f1548,plain,
( ~ l3_lattices(sK7)
| ~ v10_lattices(sK7)
| ~ l3_lattices(sK7)
| v3_realset2(sK7)
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7) ),
inference(resolution,[],[f1545,f463]) ).
fof(f463,plain,
! [X0] :
( l1_pre_topc(k11_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ( l1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ( l1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( l1_pre_topc(k11_lopclset(X0))
& v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_lopclset) ).
fof(f1545,plain,
( ~ l1_pre_topc(k11_lopclset(sK7))
| ~ l3_lattices(sK7)
| ~ v10_lattices(sK7) ),
inference(resolution,[],[f1544,f336]) ).
fof(f1544,plain,
( ~ v17_lattices(sK7)
| ~ l3_lattices(sK7)
| ~ l1_pre_topc(k11_lopclset(sK7))
| ~ v10_lattices(sK7) ),
inference(resolution,[],[f1543,f334]) ).
fof(f1543,plain,
( v3_struct_0(sK7)
| ~ l1_pre_topc(k11_lopclset(sK7))
| ~ l3_lattices(sK7)
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7) ),
inference(resolution,[],[f1542,f337]) ).
fof(f1542,plain,
( v3_realset2(sK7)
| ~ v10_lattices(sK7)
| ~ l1_pre_topc(k11_lopclset(sK7))
| ~ l3_lattices(sK7)
| ~ v17_lattices(sK7)
| v3_struct_0(sK7) ),
inference(duplicate_literal_removal,[],[f1541]) ).
fof(f1541,plain,
( ~ l3_lattices(sK7)
| ~ v10_lattices(sK7)
| ~ l1_pre_topc(k11_lopclset(sK7))
| ~ l3_lattices(sK7)
| v3_realset2(sK7)
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7) ),
inference(resolution,[],[f1538,f460]) ).
fof(f460,plain,
! [X0] :
( v2_pre_topc(k11_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ( v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0))
& ~ v3_struct_0(k11_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ( v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0))
& ~ v3_struct_0(k11_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v2_pre_topc(k11_lopclset(X0))
& v1_pre_topc(k11_lopclset(X0))
& ~ v3_struct_0(k11_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_lopclset) ).
fof(f1538,plain,
( ~ v2_pre_topc(k11_lopclset(sK7))
| ~ l3_lattices(sK7)
| ~ v10_lattices(sK7)
| ~ l1_pre_topc(k11_lopclset(sK7)) ),
inference(resolution,[],[f1533,f336]) ).
fof(f1533,plain,
( ~ v17_lattices(sK7)
| ~ v2_pre_topc(k11_lopclset(sK7))
| ~ l3_lattices(sK7)
| ~ v10_lattices(sK7)
| ~ l1_pre_topc(k11_lopclset(sK7)) ),
inference(resolution,[],[f1532,f334]) ).
fof(f1532,plain,
( v3_struct_0(sK7)
| ~ l3_lattices(sK7)
| ~ v2_pre_topc(k11_lopclset(sK7))
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| ~ l1_pre_topc(k11_lopclset(sK7)) ),
inference(resolution,[],[f1531,f337]) ).
fof(f1531,plain,
( v3_realset2(sK7)
| ~ l1_pre_topc(k11_lopclset(sK7))
| ~ l3_lattices(sK7)
| ~ v2_pre_topc(k11_lopclset(sK7))
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7) ),
inference(resolution,[],[f1525,f1200]) ).
fof(f1200,plain,
~ v3_struct_0(k11_lopclset(sK7)),
inference(resolution,[],[f1198,f338]) ).
fof(f1198,plain,
( ~ l3_lattices(sK7)
| ~ v3_struct_0(k11_lopclset(sK7)) ),
inference(resolution,[],[f1195,f335]) ).
fof(f1195,plain,
( ~ v10_lattices(sK7)
| ~ v3_struct_0(k11_lopclset(sK7))
| ~ l3_lattices(sK7) ),
inference(resolution,[],[f1194,f336]) ).
fof(f1194,plain,
( ~ v17_lattices(sK7)
| ~ v3_struct_0(k11_lopclset(sK7))
| ~ v10_lattices(sK7)
| ~ l3_lattices(sK7) ),
inference(resolution,[],[f1192,f334]) ).
fof(f1192,plain,
( v3_struct_0(sK7)
| ~ v3_struct_0(k11_lopclset(sK7))
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| ~ l3_lattices(sK7) ),
inference(resolution,[],[f458,f337]) ).
fof(f458,plain,
! [X0] :
( v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v3_struct_0(k11_lopclset(X0))
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f1525,plain,
( v3_struct_0(k11_lopclset(sK7))
| ~ v2_pre_topc(k11_lopclset(sK7))
| ~ l1_pre_topc(k11_lopclset(sK7))
| ~ l3_lattices(sK7)
| v3_realset2(sK7)
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| v3_struct_0(sK7) ),
inference(resolution,[],[f1524,f453]) ).
fof(f453,plain,
! [X0] :
( r1_filter_1(X0,k12_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( r1_filter_1(X0,k12_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f200]) ).
fof(f200,plain,
! [X0] :
( r1_filter_1(X0,k12_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> r1_filter_1(X0,k12_lopclset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_lopclset) ).
fof(f1524,plain,
( ~ r1_filter_1(sK7,k12_lopclset(sK7))
| ~ l1_pre_topc(k11_lopclset(sK7))
| ~ v2_pre_topc(k11_lopclset(sK7))
| v3_struct_0(k11_lopclset(sK7)) ),
inference(superposition,[],[f339,f1485]) ).
fof(f1485,plain,
k12_lopclset(sK7) = k6_lopclset(k11_lopclset(sK7)),
inference(resolution,[],[f1483,f338]) ).
fof(f1483,plain,
( ~ l3_lattices(sK7)
| k12_lopclset(sK7) = k6_lopclset(k11_lopclset(sK7)) ),
inference(resolution,[],[f1480,f335]) ).
fof(f1480,plain,
( ~ v10_lattices(sK7)
| k12_lopclset(sK7) = k6_lopclset(k11_lopclset(sK7))
| ~ l3_lattices(sK7) ),
inference(resolution,[],[f1479,f336]) ).
fof(f1479,plain,
( ~ v17_lattices(sK7)
| k12_lopclset(sK7) = k6_lopclset(k11_lopclset(sK7))
| ~ v10_lattices(sK7)
| ~ l3_lattices(sK7) ),
inference(resolution,[],[f1477,f334]) ).
fof(f1477,plain,
( v3_struct_0(sK7)
| k12_lopclset(sK7) = k6_lopclset(k11_lopclset(sK7))
| ~ v17_lattices(sK7)
| ~ v10_lattices(sK7)
| ~ l3_lattices(sK7) ),
inference(resolution,[],[f454,f337]) ).
fof(f454,plain,
! [X0] :
( v3_realset2(X0)
| ~ l3_lattices(X0)
| k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0))
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f202]) ).
fof(f202,plain,
! [X0] :
( k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_lopclset) ).
fof(f339,plain,
! [X1] :
( ~ r1_filter_1(sK7,k6_lopclset(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT292+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % 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 : Mon Apr 29 21:36:59 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (19499)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (19507)WARNING: value z3 for option sas not known
% 0.15/0.38 % (19508)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (19505)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (19506)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 % (19509)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 % (19510)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 % (19507)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 % (19511)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.22/0.42 TRYING [1]
% 0.22/0.43 % (19510)First to succeed.
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [4]
% 0.22/0.43 % (19510)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for theBenchmark
% 0.22/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.43 % (19510)------------------------------
% 0.22/0.43 % (19510)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.43 % (19510)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (19510)Memory used [KB]: 1777
% 0.22/0.43 % (19510)Time elapsed: 0.050 s
% 0.22/0.43 % (19510)Instructions burned: 78 (million)
% 0.22/0.43 % (19510)------------------------------
% 0.22/0.43 % (19510)------------------------------
% 0.22/0.43 % (19499)Success in time 0.07 s
%------------------------------------------------------------------------------