TSTP Solution File: SWC098-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC098-1 : 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 : 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 : Wed Aug 31 18:38:47 EDT 2022
% Result : Unsatisfiable 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 6 unt; 0 def)
% Number of atoms : 168 ( 101 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 211 ( 94 ~; 117 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f324,plain,
$false,
inference(subsumption_resolution,[],[f323,f296]) ).
fof(f296,plain,
nil = sk3,
inference(subsumption_resolution,[],[f295,f202]) ).
fof(f202,axiom,
( sk3 = cons(sk6,nil)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f295,plain,
( nil = sk3
| sk3 != cons(sk6,nil) ),
inference(subsumption_resolution,[],[f294,f264]) ).
fof(f264,plain,
( sk6 != sk5(sk6)
| nil = sk3 ),
inference(subsumption_resolution,[],[f263,f202]) ).
fof(f263,plain,
( sk6 != sk5(sk6)
| sk3 != cons(sk6,nil)
| nil = sk3 ),
inference(subsumption_resolution,[],[f260,f198]) ).
fof(f198,axiom,
( ssItem(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f260,plain,
( ~ ssItem(sk6)
| sk6 != sk5(sk6)
| sk3 != cons(sk6,nil)
| nil = sk3 ),
inference(resolution,[],[f208,f203]) ).
fof(f203,axiom,
( memberP(sk4,sk6)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f208,plain,
! [X6] :
( ~ memberP(sk4,X6)
| sk3 != cons(X6,nil)
| sk5(X6) != X6
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f195,f191,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f195,axiom,
! [X6] :
( sk5(X6) != X6
| ~ ssItem(X6)
| sk1 != cons(X6,nil)
| ~ memberP(sk2,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f294,plain,
( sk6 = sk5(sk6)
| sk3 != cons(sk6,nil)
| nil = sk3 ),
inference(subsumption_resolution,[],[f293,f275]) ).
fof(f275,plain,
( leq(sk6,sk5(sk6))
| nil = sk3 ),
inference(subsumption_resolution,[],[f274,f202]) ).
fof(f274,plain,
( nil = sk3
| leq(sk6,sk5(sk6))
| sk3 != cons(sk6,nil) ),
inference(subsumption_resolution,[],[f268,f198]) ).
fof(f268,plain,
( sk3 != cons(sk6,nil)
| ~ ssItem(sk6)
| nil = sk3
| leq(sk6,sk5(sk6)) ),
inference(resolution,[],[f211,f203]) ).
fof(f211,plain,
! [X6] :
( ~ memberP(sk4,X6)
| leq(X6,sk5(X6))
| sk3 != cons(X6,nil)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f194,f190,f191]) ).
fof(f194,axiom,
! [X6] :
( leq(X6,sk5(X6))
| ~ memberP(sk2,X6)
| ~ ssItem(X6)
| sk1 != cons(X6,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f293,plain,
( nil = sk3
| ~ leq(sk6,sk5(sk6))
| sk6 = sk5(sk6)
| sk3 != cons(sk6,nil) ),
inference(subsumption_resolution,[],[f287,f198]) ).
fof(f287,plain,
( sk6 = sk5(sk6)
| ~ ssItem(sk6)
| sk3 != cons(sk6,nil)
| nil = sk3
| ~ leq(sk6,sk5(sk6)) ),
inference(duplicate_literal_removal,[],[f284]) ).
fof(f284,plain,
( nil = sk3
| sk3 != cons(sk6,nil)
| sk6 = sk5(sk6)
| ~ ssItem(sk6)
| ~ leq(sk6,sk5(sk6))
| nil = sk3 ),
inference(resolution,[],[f258,f203]) ).
fof(f258,plain,
! [X0] :
( ~ memberP(sk4,X0)
| ~ leq(sk6,sk5(X0))
| cons(X0,nil) != sk3
| nil = sk3
| sk6 = sk5(X0)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f254,f207]) ).
fof(f207,plain,
! [X6] :
( ~ memberP(sk4,X6)
| ~ ssItem(X6)
| sk3 != cons(X6,nil)
| ssItem(sk5(X6)) ),
inference(definition_unfolding,[],[f192,f190,f191]) ).
fof(f192,axiom,
! [X6] :
( ~ memberP(sk2,X6)
| sk1 != cons(X6,nil)
| ssItem(sk5(X6))
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f254,plain,
! [X0] :
( nil = sk3
| ~ memberP(sk4,X0)
| ~ ssItem(X0)
| ~ leq(sk6,sk5(X0))
| sk6 = sk5(X0)
| cons(X0,nil) != sk3
| ~ ssItem(sk5(X0)) ),
inference(resolution,[],[f206,f204]) ).
fof(f204,axiom,
! [X6] :
( ~ memberP(sk4,X6)
| sk6 = X6
| ~ ssItem(X6)
| nil = sk3
| ~ leq(sk6,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f206,plain,
! [X6] :
( memberP(sk4,sk5(X6))
| ~ ssItem(X6)
| sk3 != cons(X6,nil)
| ~ memberP(sk4,X6) ),
inference(definition_unfolding,[],[f193,f190,f191,f190]) ).
fof(f193,axiom,
! [X6] :
( ~ memberP(sk2,X6)
| sk1 != cons(X6,nil)
| memberP(sk2,sk5(X6))
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f323,plain,
nil != sk3,
inference(trivial_inequality_removal,[],[f322]) ).
fof(f322,plain,
( nil != sk3
| nil != nil ),
inference(backward_demodulation,[],[f210,f305]) ).
fof(f305,plain,
nil = sk4,
inference(subsumption_resolution,[],[f304,f266]) ).
fof(f266,plain,
( sk6 != sk5(sk6)
| nil = sk4 ),
inference(subsumption_resolution,[],[f265,f199]) ).
fof(f199,axiom,
( sk3 = cons(sk6,nil)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f265,plain,
( nil = sk4
| sk3 != cons(sk6,nil)
| sk6 != sk5(sk6) ),
inference(subsumption_resolution,[],[f261,f197]) ).
fof(f197,axiom,
( ssItem(sk6)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f261,plain,
( ~ ssItem(sk6)
| nil = sk4
| sk3 != cons(sk6,nil)
| sk6 != sk5(sk6) ),
inference(resolution,[],[f208,f200]) ).
fof(f200,axiom,
( memberP(sk4,sk6)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f304,plain,
( nil = sk4
| sk6 = sk5(sk6) ),
inference(subsumption_resolution,[],[f303,f199]) ).
fof(f303,plain,
( sk3 != cons(sk6,nil)
| nil = sk4
| sk6 = sk5(sk6) ),
inference(subsumption_resolution,[],[f302,f273]) ).
fof(f273,plain,
( leq(sk6,sk5(sk6))
| nil = sk4 ),
inference(subsumption_resolution,[],[f272,f199]) ).
fof(f272,plain,
( leq(sk6,sk5(sk6))
| nil = sk4
| sk3 != cons(sk6,nil) ),
inference(subsumption_resolution,[],[f269,f197]) ).
fof(f269,plain,
( leq(sk6,sk5(sk6))
| ~ ssItem(sk6)
| sk3 != cons(sk6,nil)
| nil = sk4 ),
inference(resolution,[],[f211,f200]) ).
fof(f302,plain,
( ~ leq(sk6,sk5(sk6))
| sk6 = sk5(sk6)
| nil = sk4
| sk3 != cons(sk6,nil) ),
inference(subsumption_resolution,[],[f300,f197]) ).
fof(f300,plain,
( sk6 = sk5(sk6)
| ~ leq(sk6,sk5(sk6))
| sk3 != cons(sk6,nil)
| nil = sk4
| ~ ssItem(sk6) ),
inference(duplicate_literal_removal,[],[f298]) ).
fof(f298,plain,
( ~ ssItem(sk6)
| nil = sk4
| sk3 != cons(sk6,nil)
| ~ leq(sk6,sk5(sk6))
| sk6 = sk5(sk6)
| nil = sk4 ),
inference(resolution,[],[f259,f200]) ).
fof(f259,plain,
! [X1] :
( ~ memberP(sk4,X1)
| sk3 != cons(X1,nil)
| ~ ssItem(X1)
| sk6 = sk5(X1)
| nil = sk4
| ~ leq(sk6,sk5(X1)) ),
inference(subsumption_resolution,[],[f255,f207]) ).
fof(f255,plain,
! [X1] :
( ~ ssItem(X1)
| ~ memberP(sk4,X1)
| sk3 != cons(X1,nil)
| nil = sk4
| ~ ssItem(sk5(X1))
| ~ leq(sk6,sk5(X1))
| sk6 = sk5(X1) ),
inference(resolution,[],[f206,f201]) ).
fof(f201,axiom,
! [X6] :
( ~ memberP(sk4,X6)
| ~ leq(sk6,X6)
| sk6 = X6
| nil = sk4
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f210,plain,
( nil != sk3
| nil != sk4 ),
inference(definition_unfolding,[],[f196,f191,f190]) ).
fof(f196,axiom,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC098-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 18:17:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 % (29169)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)
% 0.18/0.45 % (29177)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)
% 0.18/0.47 % (29168)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.47 % (29176)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.47 % (29176)Instruction limit reached!
% 0.18/0.47 % (29176)------------------------------
% 0.18/0.47 % (29176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47 % (29176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47 % (29176)Termination reason: Unknown
% 0.18/0.47 % (29176)Termination phase: Property scanning
% 0.18/0.47
% 0.18/0.47 % (29176)Memory used [KB]: 1535
% 0.18/0.47 % (29176)Time elapsed: 0.005 s
% 0.18/0.47 % (29176)Instructions burned: 5 (million)
% 0.18/0.47 % (29176)------------------------------
% 0.18/0.47 % (29176)------------------------------
% 0.18/0.47 % (29169)First to succeed.
% 0.18/0.48 % (29169)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (29169)------------------------------
% 0.18/0.48 % (29169)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (29169)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (29169)Termination reason: Refutation
% 0.18/0.48
% 0.18/0.48 % (29169)Memory used [KB]: 1535
% 0.18/0.48 % (29169)Time elapsed: 0.090 s
% 0.18/0.48 % (29169)Instructions burned: 10 (million)
% 0.18/0.48 % (29169)------------------------------
% 0.18/0.48 % (29169)------------------------------
% 0.18/0.48 % (29162)Success in time 0.134 s
%------------------------------------------------------------------------------