TSTP Solution File: SWC416-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC416-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --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 18:41:04 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 46 ( 15 unt; 0 def)
% Number of atoms : 126 ( 38 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 178 ( 98 ~; 80 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f399,plain,
$false,
inference(unit_resulting_resolution,[],[f187,f8,f355,f382,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| X0 = X1
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f382,plain,
~ neq(nil,sk2),
inference(subsumption_resolution,[],[f381,f8]) ).
fof(f381,plain,
( ~ ssList(nil)
| ~ neq(nil,sk2) ),
inference(subsumption_resolution,[],[f380,f243]) ).
fof(f243,plain,
ssItem(sk5),
inference(subsumption_resolution,[],[f242,f232]) ).
fof(f232,plain,
neq(sk2,nil),
inference(duplicate_literal_removal,[],[f192]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f242,plain,
( ssItem(sk5)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f198,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f198,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f380,plain,
( ~ neq(nil,sk2)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(resolution,[],[f376,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f376,plain,
( ~ ssList(cons(sk5,nil))
| ~ neq(nil,sk2) ),
inference(subsumption_resolution,[],[f375,f247]) ).
fof(f247,plain,
sk2 = app(cons(sk5,nil),sk1),
inference(forward_demodulation,[],[f246,f190]) ).
fof(f246,plain,
sk4 = app(cons(sk5,nil),sk1),
inference(forward_demodulation,[],[f245,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f245,plain,
sk4 = app(cons(sk5,nil),sk3),
inference(subsumption_resolution,[],[f244,f232]) ).
fof(f244,plain,
( ~ neq(sk2,nil)
| sk4 = app(cons(sk5,nil),sk3) ),
inference(forward_demodulation,[],[f199,f190]) ).
fof(f199,axiom,
( ~ neq(sk4,nil)
| sk4 = app(cons(sk5,nil),sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f375,plain,
( ~ neq(nil,sk2)
| ~ ssList(cons(sk5,nil))
| sk2 != app(cons(sk5,nil),sk1) ),
inference(forward_demodulation,[],[f374,f359]) ).
fof(f359,plain,
hd(sk2) = sk5,
inference(subsumption_resolution,[],[f358,f243]) ).
fof(f358,plain,
( hd(sk2) = sk5
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f348,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f348,plain,
( ~ ssList(sk1)
| ~ ssItem(sk5)
| hd(sk2) = sk5 ),
inference(superposition,[],[f97,f336]) ).
fof(f336,plain,
sk2 = cons(sk5,sk1),
inference(subsumption_resolution,[],[f335,f186]) ).
fof(f335,plain,
( sk2 = cons(sk5,sk1)
| ~ ssList(sk1) ),
inference(subsumption_resolution,[],[f326,f243]) ).
fof(f326,plain,
( sk2 = cons(sk5,sk1)
| ~ ssItem(sk5)
| ~ ssList(sk1) ),
inference(superposition,[],[f247,f120]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f97,axiom,
! [X0,X1] :
( hd(cons(X0,X1)) = X0
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f374,plain,
( ~ neq(nil,sk2)
| sk2 != app(cons(hd(sk2),nil),sk1)
| ~ ssList(cons(sk5,nil)) ),
inference(forward_demodulation,[],[f373,f359]) ).
fof(f373,plain,
( ~ neq(nil,sk2)
| ~ ssList(cons(hd(sk2),nil))
| sk2 != app(cons(hd(sk2),nil),sk1) ),
inference(subsumption_resolution,[],[f369,f243]) ).
fof(f369,plain,
( ~ ssItem(sk5)
| sk2 != app(cons(hd(sk2),nil),sk1)
| ~ ssList(cons(hd(sk2),nil))
| ~ neq(nil,sk2) ),
inference(backward_demodulation,[],[f283,f359]) ).
fof(f283,plain,
( sk2 != app(cons(hd(sk2),nil),sk1)
| ~ ssList(cons(hd(sk2),nil))
| ~ ssItem(hd(sk2))
| ~ neq(nil,sk2) ),
inference(subsumption_resolution,[],[f282,f232]) ).
fof(f282,plain,
( ~ neq(sk2,nil)
| ~ ssList(cons(hd(sk2),nil))
| ~ neq(nil,sk2)
| ~ ssItem(hd(sk2))
| sk2 != app(cons(hd(sk2),nil),sk1) ),
inference(forward_demodulation,[],[f281,f190]) ).
fof(f281,plain,
( ~ neq(nil,sk2)
| sk2 != app(cons(hd(sk2),nil),sk1)
| ~ neq(sk4,nil)
| ~ ssItem(hd(sk2))
| ~ ssList(cons(hd(sk2),nil)) ),
inference(subsumption_resolution,[],[f239,f187]) ).
fof(f239,plain,
( ~ neq(sk4,nil)
| ~ ssList(cons(hd(sk2),nil))
| ~ ssItem(hd(sk2))
| sk2 != app(cons(hd(sk2),nil),sk1)
| ~ neq(nil,sk2)
| ~ ssList(sk2) ),
inference(inner_rewriting,[],[f229]) ).
fof(f229,plain,
( ~ ssList(app(cons(hd(sk2),nil),sk1))
| ~ neq(nil,sk2)
| ~ neq(sk4,nil)
| ~ ssList(cons(hd(sk2),nil))
| ~ ssItem(hd(sk2))
| sk2 != app(cons(hd(sk2),nil),sk1) ),
inference(equality_resolution,[],[f228]) ).
fof(f228,plain,
! [X7] :
( ~ ssList(X7)
| ~ neq(sk4,nil)
| ~ ssItem(hd(sk2))
| ~ ssList(app(X7,sk1))
| ~ neq(nil,sk2)
| cons(hd(sk2),nil) != X7
| sk2 != app(X7,sk1) ),
inference(equality_resolution,[],[f227]) ).
fof(f227,plain,
! [X8,X7] :
( ~ ssList(X7)
| ~ neq(sk4,nil)
| ~ ssItem(X8)
| hd(sk2) != X8
| ~ ssList(app(X7,sk1))
| ~ neq(nil,sk2)
| cons(X8,nil) != X7
| sk2 != app(X7,sk1) ),
inference(equality_resolution,[],[f197]) ).
fof(f197,axiom,
! [X8,X6,X7] :
( ~ ssList(X7)
| ~ neq(sk4,nil)
| app(X7,sk1) != X6
| ~ ssItem(X8)
| hd(sk2) != X8
| ~ ssList(X6)
| ~ neq(nil,sk2)
| cons(X8,nil) != X7
| sk2 != X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f355,plain,
nil != sk2,
inference(subsumption_resolution,[],[f354,f243]) ).
fof(f354,plain,
( ~ ssItem(sk5)
| nil != sk2 ),
inference(subsumption_resolution,[],[f352,f186]) ).
fof(f352,plain,
( nil != sk2
| ~ ssList(sk1)
| ~ ssItem(sk5) ),
inference(superposition,[],[f98,f336]) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC416-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:56:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (1451)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.51 % (1449)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.51 % (1443)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52 % (1460)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 % (1452)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.52 % (1459)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.52 % (1440)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.52 % (1439)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.53 % (1444)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (1446)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (1437)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53 % (1452)Instruction limit reached!
% 0.20/0.53 % (1452)------------------------------
% 0.20/0.53 % (1452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (1452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (1452)Termination reason: Unknown
% 0.20/0.53 % (1452)Termination phase: Finite model building preprocessing
% 0.20/0.53
% 0.20/0.53 % (1452)Memory used [KB]: 1535
% 0.20/0.53 % (1452)Time elapsed: 0.007 s
% 0.20/0.53 % (1452)Instructions burned: 7 (million)
% 0.20/0.53 % (1452)------------------------------
% 0.20/0.53 % (1452)------------------------------
% 0.20/0.53 % (1441)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.53 % (1438)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.53 % (1439)Instruction limit reached!
% 0.20/0.53 % (1439)------------------------------
% 0.20/0.53 % (1439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (1455)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.53 % (1439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (1439)Termination reason: Unknown
% 0.20/0.53 % (1439)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (1439)Memory used [KB]: 1535
% 0.20/0.53 % (1439)Time elapsed: 0.006 s
% 0.20/0.53 % (1439)Instructions burned: 6 (million)
% 0.20/0.53 % (1439)------------------------------
% 0.20/0.53 % (1439)------------------------------
% 0.20/0.53 % (1456)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (1451)First to succeed.
% 0.20/0.53 % (1447)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53 % (1442)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53 % (1447)Instruction limit reached!
% 0.20/0.53 % (1447)------------------------------
% 0.20/0.53 % (1447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (1447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (1447)Termination reason: Unknown
% 0.20/0.53 % (1447)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (1447)Memory used [KB]: 6012
% 0.20/0.53 % (1447)Time elapsed: 0.005 s
% 0.20/0.53 % (1447)Instructions burned: 8 (million)
% 0.20/0.53 % (1447)------------------------------
% 0.20/0.53 % (1447)------------------------------
% 0.20/0.54 % (1441)Also succeeded, but the first one will report.
% 0.20/0.54 % (1462)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.54 % (1465)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.54 % (1449)Instruction limit reached!
% 0.20/0.54 % (1449)------------------------------
% 0.20/0.54 % (1449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (1449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (1449)Termination reason: Unknown
% 0.20/0.54 % (1449)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (1449)Memory used [KB]: 6012
% 0.20/0.54 % (1449)Time elapsed: 0.005 s
% 0.20/0.54 % (1449)Instructions burned: 6 (million)
% 0.20/0.54 % (1449)------------------------------
% 0.20/0.54 % (1449)------------------------------
% 0.20/0.54 % (1454)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54 % (1463)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.54 % (1466)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.54 % (1453)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (1467)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (1453)Instruction limit reached!
% 0.20/0.54 % (1453)------------------------------
% 0.20/0.54 % (1453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (1453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (1453)Termination reason: Unknown
% 0.20/0.54 % (1453)Termination phase: Equality resolution with deletion
% 0.20/0.54
% 0.20/0.54 % (1453)Memory used [KB]: 1535
% 0.20/0.54 % (1453)Time elapsed: 0.002 s
% 0.20/0.54 % (1453)Instructions burned: 2 (million)
% 0.20/0.54 % (1453)------------------------------
% 0.20/0.54 % (1453)------------------------------
% 0.20/0.54 % (1448)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.54 % (1451)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (1451)------------------------------
% 0.20/0.54 % (1451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (1451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (1451)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (1451)Memory used [KB]: 1791
% 0.20/0.54 % (1451)Time elapsed: 0.119 s
% 0.20/0.54 % (1451)Instructions burned: 19 (million)
% 0.20/0.54 % (1451)------------------------------
% 0.20/0.54 % (1451)------------------------------
% 0.20/0.54 % (1436)Success in time 0.187 s
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