TSTP Solution File: SWC003-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC003-1 : 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 : n015.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 18:38:09 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 11 unt; 0 def)
% Number of atoms : 116 ( 42 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 152 ( 77 ~; 75 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f458,plain,
$false,
inference(unit_resulting_resolution,[],[f244,f8,f444,f98]) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f444,plain,
nil = cons(sk5,nil),
inference(subsumption_resolution,[],[f443,f244]) ).
fof(f443,plain,
( ~ ssItem(sk5)
| nil = cons(sk5,nil) ),
inference(subsumption_resolution,[],[f442,f8]) ).
fof(f442,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| nil = cons(sk5,nil) ),
inference(resolution,[],[f436,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f436,plain,
( ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil) ),
inference(trivial_inequality_removal,[],[f435]) ).
fof(f435,plain,
( sk2 != sk2
| nil = cons(sk5,nil)
| ~ ssList(cons(sk5,nil)) ),
inference(superposition,[],[f425,f254]) ).
fof(f254,plain,
sk2 = app(app(sk6,cons(sk5,nil)),sk7),
inference(subsumption_resolution,[],[f253,f239]) ).
fof(f239,plain,
neq(sk2,nil),
inference(duplicate_literal_removal,[],[f192]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f253,plain,
( sk2 = app(app(sk6,cons(sk5,nil)),sk7)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f252,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f252,plain,
( sk2 = app(app(sk6,cons(sk5,nil)),sk7)
| ~ neq(sk4,nil) ),
inference(forward_demodulation,[],[f205,f190]) ).
fof(f205,axiom,
( sk4 = app(app(sk6,cons(sk5,nil)),sk7)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).
fof(f425,plain,
! [X7] :
( sk2 != app(app(sk6,X7),sk7)
| nil = X7
| ~ ssList(X7) ),
inference(subsumption_resolution,[],[f424,f246]) ).
fof(f246,plain,
ssList(sk6),
inference(subsumption_resolution,[],[f245,f239]) ).
fof(f245,plain,
( ssList(sk6)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f203,f190]) ).
fof(f203,axiom,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f424,plain,
! [X7] :
( sk2 != app(app(sk6,X7),sk7)
| ~ ssList(sk6)
| nil = X7
| ~ ssList(X7) ),
inference(subsumption_resolution,[],[f421,f248]) ).
fof(f248,plain,
ssList(sk7),
inference(subsumption_resolution,[],[f247,f239]) ).
fof(f247,plain,
( ~ neq(sk2,nil)
| ssList(sk7) ),
inference(forward_demodulation,[],[f204,f190]) ).
fof(f204,axiom,
( ~ neq(sk4,nil)
| ssList(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).
fof(f421,plain,
! [X7] :
( ~ ssList(sk7)
| ~ ssList(X7)
| ~ ssList(sk6)
| sk2 != app(app(sk6,X7),sk7)
| nil = X7 ),
inference(trivial_inequality_removal,[],[f417]) ).
fof(f417,plain,
! [X7] :
( ~ ssList(sk7)
| sk1 != sk1
| ~ ssList(sk6)
| ~ ssList(X7)
| nil = X7
| sk2 != app(app(sk6,X7),sk7) ),
inference(superposition,[],[f298,f251]) ).
fof(f251,plain,
sk1 = app(sk6,sk7),
inference(subsumption_resolution,[],[f250,f239]) ).
fof(f250,plain,
( sk1 = app(sk6,sk7)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f249,f190]) ).
fof(f249,plain,
( sk1 = app(sk6,sk7)
| ~ neq(sk4,nil) ),
inference(forward_demodulation,[],[f206,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,axiom,
( sk3 = app(sk6,sk7)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_21) ).
fof(f298,plain,
! [X6,X7,X5] :
( sk1 != app(X5,X7)
| ~ ssList(X5)
| ~ ssList(X6)
| sk2 != app(app(X5,X6),X7)
| nil = X6
| ~ ssList(X7) ),
inference(subsumption_resolution,[],[f297,f8]) ).
fof(f297,plain,
! [X6,X7,X5] :
( sk2 != app(app(X5,X6),X7)
| sk1 != app(X5,X7)
| ~ ssList(nil)
| nil = X6
| ~ ssList(X5)
| ~ ssList(X6)
| ~ ssList(X7) ),
inference(duplicate_literal_removal,[],[f296]) ).
fof(f296,plain,
! [X6,X7,X5] :
( ~ ssList(X6)
| ~ ssList(nil)
| ~ ssList(X7)
| sk1 != app(X5,X7)
| sk2 != app(app(X5,X6),X7)
| nil = X6
| ~ ssList(X6)
| ~ ssList(X5) ),
inference(resolution,[],[f293,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f293,plain,
! [X8,X6,X7] :
( ~ neq(X7,nil)
| sk2 != app(app(X6,X7),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| sk1 != app(X6,X8)
| ~ ssList(X6) ),
inference(subsumption_resolution,[],[f292,f239]) ).
fof(f292,plain,
! [X8,X6,X7] :
( ~ ssList(X7)
| ~ ssList(X6)
| ~ neq(sk2,nil)
| sk2 != app(app(X6,X7),X8)
| sk1 != app(X6,X8)
| ~ ssList(X8)
| ~ neq(X7,nil) ),
inference(forward_demodulation,[],[f201,f190]) ).
fof(f201,axiom,
! [X8,X6,X7] :
( ~ neq(sk4,nil)
| sk2 != app(app(X6,X7),X8)
| ~ ssList(X6)
| ~ neq(X7,nil)
| sk1 != app(X6,X8)
| ~ ssList(X8)
| ~ ssList(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f244,plain,
ssItem(sk5),
inference(subsumption_resolution,[],[f243,f239]) ).
fof(f243,plain,
( ssItem(sk5)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f202,f190]) ).
fof(f202,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC003-1 : 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
% 0.12/0.34 % Computer : n015.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 18:03:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (20716)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)
% 0.20/0.50 % (20708)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)
% 0.20/0.51 % (20707)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52 % (20713)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)
% 0.20/0.52 % (20712)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)
% 0.20/0.52 % (20716)First to succeed.
% 0.20/0.52 % (20724)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 % (20717)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 % (20705)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 % (20730)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)
% 0.20/0.53 % (20717)Instruction limit reached!
% 0.20/0.53 % (20717)------------------------------
% 0.20/0.53 % (20717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (20716)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (20716)------------------------------
% 0.20/0.53 % (20716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (20716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (20716)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (20716)Memory used [KB]: 1791
% 0.20/0.53 % (20716)Time elapsed: 0.076 s
% 0.20/0.53 % (20716)Instructions burned: 23 (million)
% 0.20/0.53 % (20716)------------------------------
% 0.20/0.53 % (20716)------------------------------
% 0.20/0.53 % (20701)Success in time 0.18 s
%------------------------------------------------------------------------------