TSTP Solution File: SWC190-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC190-1 : 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 18:39:27 EDT 2022
% Result : Unsatisfiable 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 22
% Syntax : Number of formulae : 85 ( 12 unt; 0 def)
% Number of atoms : 272 ( 16 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 363 ( 176 ~; 179 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f641,plain,
$false,
inference(avatar_sat_refutation,[],[f246,f302,f306,f310,f314,f322,f413,f419,f640]) ).
fof(f640,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f639,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f638,f197]) ).
fof(f197,axiom,
sk5 != sk6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f638,plain,
( sk5 = sk6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f637,f192]) ).
fof(f192,axiom,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f637,plain,
( ~ ssItem(sk5)
| sk5 = sk6
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_23 ),
inference(resolution,[],[f634,f509]) ).
fof(f509,plain,
( ! [X6] :
( ~ memberP(sk3,X6)
| sk6 = X6
| ~ ssItem(X6) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_demodulation,[],[f199,f508]) ).
fof(f508,plain,
( sk6 = sk9
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f507,f193]) ).
fof(f193,axiom,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f507,plain,
( ~ ssItem(sk6)
| sk6 = sk9
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(resolution,[],[f506,f199]) ).
fof(f506,plain,
( memberP(sk3,sk6)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f505,f254]) ).
fof(f254,plain,
( ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl0_7
<=> ssList(app(sk7,cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f505,plain,
( memberP(sk3,sk6)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f504,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f504,plain,
( ~ ssList(nil)
| ~ ssList(app(sk7,cons(sk5,nil)))
| memberP(sk3,sk6)
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f503,f193]) ).
fof(f503,plain,
( memberP(sk3,sk6)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f499,f226]) ).
fof(f226,plain,
( ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl0_1
<=> ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f499,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssList(nil)
| ~ ssItem(sk6)
| memberP(sk3,sk6)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f496]) ).
fof(f496,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| ~ ssList(app(sk7,cons(sk5,nil)))
| memberP(sk3,sk6)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssItem(sk6)
| ~ spl0_5 ),
inference(resolution,[],[f245,f206]) ).
fof(f206,plain,
! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(X2)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| memberP(X3,X1)
| ~ ssList(X3)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f245,plain,
( ! [X0] :
( ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)
| memberP(sk3,X0)
| ~ ssItem(X0) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl0_5
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)
| memberP(sk3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f199,axiom,
! [X6] :
( ~ memberP(sk3,X6)
| sk9 = X6
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f634,plain,
( memberP(sk3,sk5)
| ~ spl0_7
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f633,f192]) ).
fof(f633,plain,
( memberP(sk3,sk5)
| ~ ssItem(sk5)
| ~ spl0_7
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f632,f194]) ).
fof(f194,axiom,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f632,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5)
| memberP(sk3,sk5)
| ~ spl0_7
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f631,f254]) ).
fof(f631,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| memberP(sk3,sk5)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f627,f8]) ).
fof(f627,plain,
( memberP(sk3,sk5)
| ~ ssList(nil)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ spl0_23 ),
inference(duplicate_literal_removal,[],[f623]) ).
fof(f623,plain,
( memberP(sk3,sk5)
| ~ ssItem(sk5)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssList(sk7)
| ~ spl0_23 ),
inference(resolution,[],[f412,f206]) ).
fof(f412,plain,
( ! [X0] :
( ~ memberP(app(sk7,cons(sk5,nil)),X0)
| memberP(sk3,X0)
| ~ ssItem(X0) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f411,plain,
( spl0_23
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(app(sk7,cons(sk5,nil)),X0)
| memberP(sk3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f419,plain,
( ~ spl0_8
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f418,plain,
( $false
| ~ spl0_8
| spl0_16 ),
inference(subsumption_resolution,[],[f417,f195]) ).
fof(f195,axiom,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f417,plain,
( ~ ssList(sk8)
| ~ spl0_8
| spl0_16 ),
inference(subsumption_resolution,[],[f414,f258]) ).
fof(f258,plain,
( ssList(cons(sk6,nil))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f257,plain,
( spl0_8
<=> ssList(cons(sk6,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f414,plain,
( ~ ssList(cons(sk6,nil))
| ~ ssList(sk8)
| spl0_16 ),
inference(resolution,[],[f365,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f365,plain,
( ~ ssList(app(cons(sk6,nil),sk8))
| spl0_16 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f363,plain,
( spl0_16
<=> ssList(app(cons(sk6,nil),sk8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f413,plain,
( ~ spl0_16
| spl0_23
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f409,f253,f249,f411,f363]) ).
fof(f249,plain,
( spl0_6
<=> sk3 = app(app(sk7,cons(sk5,nil)),app(cons(sk6,nil),sk8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f409,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sk3,X0)
| ~ memberP(app(sk7,cons(sk5,nil)),X0)
| ~ ssList(app(cons(sk6,nil),sk8)) )
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f353,f254]) ).
fof(f353,plain,
( ! [X0] :
( ~ ssList(app(cons(sk6,nil),sk8))
| ~ memberP(app(sk7,cons(sk5,nil)),X0)
| ~ ssItem(X0)
| memberP(sk3,X0)
| ~ ssList(app(sk7,cons(sk5,nil))) )
| ~ spl0_6 ),
inference(superposition,[],[f140,f251]) ).
fof(f251,plain,
( sk3 = app(app(sk7,cons(sk5,nil)),app(cons(sk6,nil),sk8))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f140,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f322,plain,
( spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f321,plain,
( $false
| spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f320,f254]) ).
fof(f320,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| spl0_1
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f315,f258]) ).
fof(f315,plain,
( ~ ssList(cons(sk6,nil))
| ~ ssList(app(sk7,cons(sk5,nil)))
| spl0_1 ),
inference(resolution,[],[f227,f85]) ).
fof(f227,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| spl0_1 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f314,plain,
( spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f313]) ).
fof(f313,plain,
( $false
| spl0_7
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f312,f194]) ).
fof(f312,plain,
( ~ ssList(sk7)
| spl0_7
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f311,f268]) ).
fof(f268,plain,
( ssList(cons(sk5,nil))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f267,plain,
( spl0_10
<=> ssList(cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f311,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk7)
| spl0_7 ),
inference(resolution,[],[f255,f85]) ).
fof(f255,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| spl0_7 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f310,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f309]) ).
fof(f309,plain,
( $false
| spl0_10 ),
inference(subsumption_resolution,[],[f308,f8]) ).
fof(f308,plain,
( ~ ssList(nil)
| spl0_10 ),
inference(subsumption_resolution,[],[f307,f192]) ).
fof(f307,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| spl0_10 ),
inference(resolution,[],[f269,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f269,plain,
( ~ ssList(cons(sk5,nil))
| spl0_10 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f306,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f305,plain,
( $false
| spl0_8 ),
inference(subsumption_resolution,[],[f304,f193]) ).
fof(f304,plain,
( ~ ssItem(sk6)
| spl0_8 ),
inference(subsumption_resolution,[],[f303,f8]) ).
fof(f303,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| spl0_8 ),
inference(resolution,[],[f259,f86]) ).
fof(f259,plain,
( ~ ssList(cons(sk6,nil))
| spl0_8 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f302,plain,
( ~ spl0_8
| ~ spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f301,f249,f253,f257]) ).
fof(f301,plain,
( sk3 = app(app(sk7,cons(sk5,nil)),app(cons(sk6,nil),sk8))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil)) ),
inference(subsumption_resolution,[],[f210,f195]) ).
fof(f210,plain,
( sk3 = app(app(sk7,cons(sk5,nil)),app(cons(sk6,nil),sk8))
| ~ ssList(sk8)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil)) ),
inference(superposition,[],[f201,f149]) ).
fof(f149,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f201,plain,
sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(definition_unfolding,[],[f196,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f196,axiom,
sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f246,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f242,f244,f225]) ).
fof(f242,plain,
! [X0] :
( ~ ssItem(X0)
| memberP(sk3,X0)
| ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil))) ),
inference(subsumption_resolution,[],[f215,f195]) ).
fof(f215,plain,
! [X0] :
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssItem(X0)
| ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)
| memberP(sk3,X0)
| ~ ssList(sk8) ),
inference(superposition,[],[f140,f201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC190-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 18:44:06 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.46 % (2215)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)
% 0.21/0.46 % (2206)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)
% 0.21/0.47 % (2206)Instruction limit reached!
% 0.21/0.47 % (2206)------------------------------
% 0.21/0.47 % (2206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.47 % (2206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.47 % (2206)Termination reason: Unknown
% 0.21/0.47 % (2206)Termination phase: Finite model building preprocessing
% 0.21/0.47
% 0.21/0.47 % (2206)Memory used [KB]: 1535
% 0.21/0.47 % (2206)Time elapsed: 0.007 s
% 0.21/0.47 % (2206)Instructions burned: 6 (million)
% 0.21/0.47 % (2206)------------------------------
% 0.21/0.47 % (2206)------------------------------
% 0.21/0.47 % (2198)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)
% 0.21/0.49 % (2198)First to succeed.
% 0.21/0.50 % (2198)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (2198)------------------------------
% 0.21/0.50 % (2198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (2198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (2198)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (2198)Memory used [KB]: 6268
% 0.21/0.50 % (2198)Time elapsed: 0.072 s
% 0.21/0.50 % (2198)Instructions burned: 16 (million)
% 0.21/0.50 % (2198)------------------------------
% 0.21/0.50 % (2198)------------------------------
% 0.21/0.50 % (2187)Success in time 0.134 s
%------------------------------------------------------------------------------