TSTP Solution File: SEU344+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU344+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : 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 : Wed Aug 31 18:33:19 EDT 2022
% Result : Theorem 1.91s 0.62s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 54 ( 13 unt; 0 def)
% Number of atoms : 186 ( 30 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 205 ( 73 ~; 81 |; 30 &)
% ( 5 <=>; 15 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 71 ( 57 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f512,plain,
$false,
inference(subsumption_resolution,[],[f511,f299]) ).
fof(f299,plain,
! [X0] : ~ empty_carrier(boole_lattice(X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ~ empty_carrier(boole_lattice(X0))
& strict_latt_str(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice3) ).
fof(f511,plain,
empty_carrier(boole_lattice(sK10)),
inference(subsumption_resolution,[],[f510,f286]) ).
fof(f286,plain,
element(sK11,the_carrier(boole_lattice(sK10))),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
( element(sK12,the_carrier(boole_lattice(sK10)))
& ( ~ below(boole_lattice(sK10),sK11,sK12)
| ~ subset(sK11,sK12) )
& ( below(boole_lattice(sK10),sK11,sK12)
| subset(sK11,sK12) )
& element(sK11,the_carrier(boole_lattice(sK10))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f198,f200,f199]) ).
fof(f199,plain,
( ? [X0,X1] :
( ? [X2] :
( element(X2,the_carrier(boole_lattice(X0)))
& ( ~ below(boole_lattice(X0),X1,X2)
| ~ subset(X1,X2) )
& ( below(boole_lattice(X0),X1,X2)
| subset(X1,X2) ) )
& element(X1,the_carrier(boole_lattice(X0))) )
=> ( ? [X2] :
( element(X2,the_carrier(boole_lattice(sK10)))
& ( ~ below(boole_lattice(sK10),sK11,X2)
| ~ subset(sK11,X2) )
& ( below(boole_lattice(sK10),sK11,X2)
| subset(sK11,X2) ) )
& element(sK11,the_carrier(boole_lattice(sK10))) ) ),
introduced(choice_axiom,[]) ).
fof(f200,plain,
( ? [X2] :
( element(X2,the_carrier(boole_lattice(sK10)))
& ( ~ below(boole_lattice(sK10),sK11,X2)
| ~ subset(sK11,X2) )
& ( below(boole_lattice(sK10),sK11,X2)
| subset(sK11,X2) ) )
=> ( element(sK12,the_carrier(boole_lattice(sK10)))
& ( ~ below(boole_lattice(sK10),sK11,sK12)
| ~ subset(sK11,sK12) )
& ( below(boole_lattice(sK10),sK11,sK12)
| subset(sK11,sK12) ) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
? [X0,X1] :
( ? [X2] :
( element(X2,the_carrier(boole_lattice(X0)))
& ( ~ below(boole_lattice(X0),X1,X2)
| ~ subset(X1,X2) )
& ( below(boole_lattice(X0),X1,X2)
| subset(X1,X2) ) )
& element(X1,the_carrier(boole_lattice(X0))) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
? [X0,X1] :
( ? [X2] :
( element(X2,the_carrier(boole_lattice(X0)))
& ( ~ below(boole_lattice(X0),X1,X2)
| ~ subset(X1,X2) )
& ( below(boole_lattice(X0),X1,X2)
| subset(X1,X2) ) )
& element(X1,the_carrier(boole_lattice(X0))) ),
inference(nnf_transformation,[],[f157]) ).
fof(f157,plain,
? [X0,X1] :
( ? [X2] :
( element(X2,the_carrier(boole_lattice(X0)))
& ( subset(X1,X2)
<~> below(boole_lattice(X0),X1,X2) ) )
& element(X1,the_carrier(boole_lattice(X0))) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,negated_conjecture,
~ ! [X1,X0] :
( element(X1,the_carrier(boole_lattice(X0)))
=> ! [X2] :
( element(X2,the_carrier(boole_lattice(X0)))
=> ( subset(X1,X2)
<=> below(boole_lattice(X0),X1,X2) ) ) ),
inference(negated_conjecture,[],[f73]) ).
fof(f73,conjecture,
! [X1,X0] :
( element(X1,the_carrier(boole_lattice(X0)))
=> ! [X2] :
( element(X2,the_carrier(boole_lattice(X0)))
=> ( subset(X1,X2)
<=> below(boole_lattice(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_lattice3) ).
fof(f510,plain,
( ~ element(sK11,the_carrier(boole_lattice(sK10)))
| empty_carrier(boole_lattice(sK10)) ),
inference(subsumption_resolution,[],[f509,f289]) ).
fof(f289,plain,
element(sK12,the_carrier(boole_lattice(sK10))),
inference(cnf_transformation,[],[f201]) ).
fof(f509,plain,
( ~ element(sK12,the_carrier(boole_lattice(sK10)))
| empty_carrier(boole_lattice(sK10))
| ~ element(sK11,the_carrier(boole_lattice(sK10))) ),
inference(subsumption_resolution,[],[f508,f490]) ).
fof(f490,plain,
subset(sK11,sK12),
inference(superposition,[],[f262,f486]) ).
fof(f486,plain,
sK12 = set_union2(sK11,sK12),
inference(subsumption_resolution,[],[f485,f242]) ).
fof(f242,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| set_union2(X1,X0) = X0 ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| set_union2(X1,X0) = X0 ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X1,X0] :
( ~ subset(X0,X1)
| set_union2(X0,X1) = X1 ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f485,plain,
( sK12 = set_union2(sK11,sK12)
| subset(sK11,sK12) ),
inference(forward_demodulation,[],[f484,f466]) ).
fof(f466,plain,
join(boole_lattice(sK10),sK11,sK12) = set_union2(sK11,sK12),
inference(resolution,[],[f458,f286]) ).
fof(f458,plain,
! [X1] :
( ~ element(X1,the_carrier(boole_lattice(sK10)))
| join(boole_lattice(sK10),X1,sK12) = set_union2(X1,sK12) ),
inference(resolution,[],[f225,f289]) ).
fof(f225,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(boole_lattice(X1)))
| set_union2(X0,X2) = join(boole_lattice(X1),X0,X2)
| ~ element(X0,the_carrier(boole_lattice(X1))) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ! [X2] :
( ( set_union2(X0,X2) = join(boole_lattice(X1),X0,X2)
& set_intersection2(X0,X2) = meet(boole_lattice(X1),X0,X2) )
| ~ element(X2,the_carrier(boole_lattice(X1))) )
| ~ element(X0,the_carrier(boole_lattice(X1))) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,plain,
! [X1,X0] :
( element(X0,the_carrier(boole_lattice(X1)))
=> ! [X2] :
( element(X2,the_carrier(boole_lattice(X1)))
=> ( set_union2(X0,X2) = join(boole_lattice(X1),X0,X2)
& set_intersection2(X0,X2) = meet(boole_lattice(X1),X0,X2) ) ) ),
inference(rectify,[],[f70]) ).
fof(f70,axiom,
! [X1,X0] :
( element(X1,the_carrier(boole_lattice(X0)))
=> ! [X2] :
( element(X2,the_carrier(boole_lattice(X0)))
=> ( join(boole_lattice(X0),X1,X2) = set_union2(X1,X2)
& meet(boole_lattice(X0),X1,X2) = set_intersection2(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_lattice3) ).
fof(f484,plain,
( subset(sK11,sK12)
| sK12 = join(boole_lattice(sK10),sK11,sK12) ),
inference(subsumption_resolution,[],[f483,f314]) ).
fof(f314,plain,
! [X0] : join_semilatt_str(boole_lattice(X0)),
inference(resolution,[],[f246,f284]) ).
fof(f284,plain,
! [X0] : latt_str(boole_lattice(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( latt_str(boole_lattice(X0))
& strict_latt_str(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice3) ).
fof(f246,plain,
! [X0] :
( ~ latt_str(X0)
| join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ~ latt_str(X0)
| ( meet_semilatt_str(X0)
& join_semilatt_str(X0) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( latt_str(X0)
=> ( meet_semilatt_str(X0)
& join_semilatt_str(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f483,plain,
( ~ join_semilatt_str(boole_lattice(sK10))
| sK12 = join(boole_lattice(sK10),sK11,sK12)
| subset(sK11,sK12) ),
inference(subsumption_resolution,[],[f482,f289]) ).
fof(f482,plain,
( ~ element(sK12,the_carrier(boole_lattice(sK10)))
| sK12 = join(boole_lattice(sK10),sK11,sK12)
| ~ join_semilatt_str(boole_lattice(sK10))
| subset(sK11,sK12) ),
inference(subsumption_resolution,[],[f481,f286]) ).
fof(f481,plain,
( ~ element(sK11,the_carrier(boole_lattice(sK10)))
| sK12 = join(boole_lattice(sK10),sK11,sK12)
| ~ join_semilatt_str(boole_lattice(sK10))
| ~ element(sK12,the_carrier(boole_lattice(sK10)))
| subset(sK11,sK12) ),
inference(subsumption_resolution,[],[f480,f299]) ).
fof(f480,plain,
( empty_carrier(boole_lattice(sK10))
| subset(sK11,sK12)
| ~ element(sK12,the_carrier(boole_lattice(sK10)))
| sK12 = join(boole_lattice(sK10),sK11,sK12)
| ~ join_semilatt_str(boole_lattice(sK10))
| ~ element(sK11,the_carrier(boole_lattice(sK10))) ),
inference(resolution,[],[f267,f287]) ).
fof(f287,plain,
( below(boole_lattice(sK10),sK11,sK12)
| subset(sK11,sK12) ),
inference(cnf_transformation,[],[f201]) ).
fof(f267,plain,
! [X2,X0,X1] :
( ~ below(X0,X1,X2)
| join(X0,X1,X2) = X2
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ( ( below(X0,X1,X2)
| join(X0,X1,X2) != X2 )
& ( join(X0,X1,X2) = X2
| ~ below(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) ) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) ) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) ) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ( join_semilatt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattices) ).
fof(f262,plain,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f508,plain,
( ~ subset(sK11,sK12)
| ~ element(sK11,the_carrier(boole_lattice(sK10)))
| ~ element(sK12,the_carrier(boole_lattice(sK10)))
| empty_carrier(boole_lattice(sK10)) ),
inference(subsumption_resolution,[],[f507,f487]) ).
fof(f487,plain,
sK12 = join(boole_lattice(sK10),sK11,sK12),
inference(backward_demodulation,[],[f466,f486]) ).
fof(f507,plain,
( sK12 != join(boole_lattice(sK10),sK11,sK12)
| ~ element(sK11,the_carrier(boole_lattice(sK10)))
| ~ subset(sK11,sK12)
| ~ element(sK12,the_carrier(boole_lattice(sK10)))
| empty_carrier(boole_lattice(sK10)) ),
inference(subsumption_resolution,[],[f504,f314]) ).
fof(f504,plain,
( ~ join_semilatt_str(boole_lattice(sK10))
| ~ element(sK11,the_carrier(boole_lattice(sK10)))
| ~ element(sK12,the_carrier(boole_lattice(sK10)))
| sK12 != join(boole_lattice(sK10),sK11,sK12)
| ~ subset(sK11,sK12)
| empty_carrier(boole_lattice(sK10)) ),
inference(resolution,[],[f268,f288]) ).
fof(f288,plain,
( ~ below(boole_lattice(sK10),sK11,sK12)
| ~ subset(sK11,sK12) ),
inference(cnf_transformation,[],[f201]) ).
fof(f268,plain,
! [X2,X0,X1] :
( below(X0,X1,X2)
| join(X0,X1,X2) != X2
| empty_carrier(X0)
| ~ element(X2,the_carrier(X0))
| ~ join_semilatt_str(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(cnf_transformation,[],[f190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU344+1 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 15:12:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.56 % (1441)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.56 % (1448)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.57 % (1440)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)
% 0.19/0.57 % (1441)Instruction limit reached!
% 0.19/0.57 % (1441)------------------------------
% 0.19/0.57 % (1441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (1449)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.57 % (1457)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.58 % (1456)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)
% 0.19/0.59 % (1441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (1441)Termination reason: Unknown
% 0.19/0.59 % (1441)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (1441)Memory used [KB]: 5628
% 0.19/0.59 % (1441)Time elapsed: 0.150 s
% 0.19/0.59 % (1441)Instructions burned: 7 (million)
% 0.19/0.59 % (1441)------------------------------
% 0.19/0.59 % (1441)------------------------------
% 0.19/0.59 TRYING [1]
% 0.19/0.60 TRYING [2]
% 0.19/0.62 % (1456)First to succeed.
% 0.19/0.62 % (1455)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.91/0.62 % (1456)Refutation found. Thanks to Tanya!
% 1.91/0.62 % SZS status Theorem for theBenchmark
% 1.91/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.91/0.62 % (1456)------------------------------
% 1.91/0.62 % (1456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62 % (1456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62 % (1456)Termination reason: Refutation
% 1.91/0.62
% 1.91/0.62 % (1456)Memory used [KB]: 1279
% 1.91/0.62 % (1456)Time elapsed: 0.200 s
% 1.91/0.62 % (1456)Instructions burned: 15 (million)
% 1.91/0.62 % (1456)------------------------------
% 1.91/0.62 % (1456)------------------------------
% 1.91/0.62 % (1433)Success in time 0.271 s
%------------------------------------------------------------------------------