TSTP Solution File: SWC343-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC343-1 : 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_sat --cores 0 -t %d %s
% Computer : n026.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 18:43:16 EDT 2022
% Result : Unsatisfiable 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 23
% Syntax : Number of formulae : 134 ( 22 unt; 0 def)
% Number of atoms : 523 ( 237 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 776 ( 387 ~; 389 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 119 ( 119 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f368,plain,
$false,
inference(subsumption_resolution,[],[f367,f192]) ).
fof(f192,axiom,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f367,plain,
~ ssList(sk5),
inference(subsumption_resolution,[],[f366,f331]) ).
fof(f331,plain,
nil = app(nil,sk5),
inference(forward_demodulation,[],[f309,f313]) ).
fof(f313,plain,
nil = sk2,
inference(backward_demodulation,[],[f190,f312]) ).
fof(f312,plain,
nil = sk4,
inference(trivial_inequality_removal,[],[f306]) ).
fof(f306,plain,
( nil != nil
| nil = sk4 ),
inference(backward_demodulation,[],[f246,f291]) ).
fof(f291,plain,
nil = sk1,
inference(subsumption_resolution,[],[f290,f192]) ).
fof(f290,plain,
( nil = sk1
| ~ ssList(sk5) ),
inference(subsumption_resolution,[],[f289,f252]) ).
fof(f252,plain,
sk2 = app(sk1,sk5),
inference(backward_demodulation,[],[f247,f251]) ).
fof(f251,plain,
sk2 = sF0,
inference(forward_demodulation,[],[f236,f190]) ).
fof(f236,plain,
sk4 = sF0,
inference(definition_folding,[],[f193,f235]) ).
fof(f235,plain,
app(sk3,sk5) = sF0,
introduced(function_definition,[]) ).
fof(f193,axiom,
sk4 = app(sk3,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f247,plain,
sF0 = app(sk1,sk5),
inference(backward_demodulation,[],[f235,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f289,plain,
( sk2 != app(sk1,sk5)
| nil = sk1
| ~ ssList(sk5) ),
inference(duplicate_literal_removal,[],[f288]) ).
fof(f288,plain,
( nil = sk1
| sk2 != app(sk1,sk5)
| ~ ssList(sk5)
| nil = sk1 ),
inference(resolution,[],[f287,f255]) ).
fof(f255,plain,
! [X6] :
( ssList(sk7(X6))
| sk2 != app(sk1,X6)
| ~ ssList(X6)
| nil = sk1 ),
inference(subsumption_resolution,[],[f199,f248]) ).
fof(f248,plain,
strictorderedP(sk1),
inference(backward_demodulation,[],[f194,f191]) ).
fof(f194,axiom,
strictorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f199,axiom,
! [X6] :
( sk2 != app(sk1,X6)
| ~ ssList(X6)
| nil = sk1
| ~ strictorderedP(sk1)
| ssList(sk7(X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f287,plain,
( ~ ssList(sk7(sk5))
| nil = sk1 ),
inference(trivial_inequality_removal,[],[f286]) ).
fof(f286,plain,
( ~ ssList(sk7(sk5))
| sk5 != sk5
| nil = sk1 ),
inference(duplicate_literal_removal,[],[f285]) ).
fof(f285,plain,
( nil = sk1
| ~ ssList(sk7(sk5))
| nil = sk1
| sk5 != sk5 ),
inference(superposition,[],[f284,f259]) ).
fof(f259,plain,
( sk5 = app(cons(sk6(sk5),nil),sk7(sk5))
| nil = sk1 ),
inference(subsumption_resolution,[],[f258,f192]) ).
fof(f258,plain,
( nil = sk1
| ~ ssList(sk5)
| sk5 = app(cons(sk6(sk5),nil),sk7(sk5)) ),
inference(trivial_inequality_removal,[],[f257]) ).
fof(f257,plain,
( sk5 = app(cons(sk6(sk5),nil),sk7(sk5))
| ~ ssList(sk5)
| nil = sk1
| sk2 != sk2 ),
inference(superposition,[],[f256,f252]) ).
fof(f256,plain,
! [X0] :
( sk2 != app(sk1,X0)
| nil = sk1
| ~ ssList(X0)
| app(cons(sk6(X0),nil),sk7(X0)) = X0 ),
inference(resolution,[],[f200,f248]) ).
fof(f200,axiom,
! [X6] :
( ~ strictorderedP(sk1)
| sk2 != app(sk1,X6)
| nil = sk1
| ~ ssList(X6)
| app(cons(sk6(X6),nil),sk7(X6)) = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f284,plain,
! [X0] :
( sk5 != app(cons(sk6(sk5),nil),X0)
| ~ ssList(X0)
| nil = sk1 ),
inference(subsumption_resolution,[],[f283,f252]) ).
fof(f283,plain,
! [X0] :
( sk2 != app(sk1,sk5)
| ~ ssList(X0)
| nil = sk1
| sk5 != app(cons(sk6(sk5),nil),X0) ),
inference(subsumption_resolution,[],[f282,f248]) ).
fof(f282,plain,
! [X0] :
( sk5 != app(cons(sk6(sk5),nil),X0)
| ~ ssList(X0)
| nil = sk1
| ~ strictorderedP(sk1)
| sk2 != app(sk1,sk5) ),
inference(subsumption_resolution,[],[f281,f192]) ).
fof(f281,plain,
! [X0] :
( ~ ssList(X0)
| sk5 != app(cons(sk6(sk5),nil),X0)
| ~ ssList(sk5)
| nil = sk1
| ~ strictorderedP(sk1)
| sk2 != app(sk1,sk5) ),
inference(duplicate_literal_removal,[],[f280]) ).
fof(f280,plain,
! [X0] :
( ~ strictorderedP(sk1)
| ~ ssList(sk5)
| sk5 != app(cons(sk6(sk5),nil),X0)
| ~ ssList(X0)
| nil = sk1
| sk2 != app(sk1,sk5)
| nil = sk1 ),
inference(resolution,[],[f279,f197]) ).
fof(f197,axiom,
! [X6] :
( ssItem(sk6(X6))
| sk2 != app(sk1,X6)
| nil = sk1
| ~ ssList(X6)
| ~ strictorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f279,plain,
! [X0] :
( ~ ssItem(sk6(sk5))
| nil = sk1
| sk5 != app(cons(sk6(sk5),nil),X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f278,f192]) ).
fof(f278,plain,
! [X0] :
( nil = sk1
| sk5 != app(cons(sk6(sk5),nil),X0)
| ~ ssList(sk5)
| ~ ssItem(sk6(sk5))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f277,f252]) ).
fof(f277,plain,
! [X0] :
( sk2 != app(sk1,sk5)
| ~ ssList(sk5)
| ~ ssItem(sk6(sk5))
| ~ ssList(X0)
| nil = sk1
| sk5 != app(cons(sk6(sk5),nil),X0) ),
inference(subsumption_resolution,[],[f276,f248]) ).
fof(f276,plain,
! [X0] :
( ~ strictorderedP(sk1)
| ~ ssList(X0)
| ~ ssItem(sk6(sk5))
| sk5 != app(cons(sk6(sk5),nil),X0)
| ~ ssList(sk5)
| nil = sk1
| sk2 != app(sk1,sk5) ),
inference(duplicate_literal_removal,[],[f275]) ).
fof(f275,plain,
! [X0] :
( sk5 != app(cons(sk6(sk5),nil),X0)
| ~ strictorderedP(sk1)
| ~ ssList(sk5)
| sk2 != app(sk1,sk5)
| nil = sk1
| ~ ssItem(sk6(sk5))
| ~ ssList(X0)
| nil = sk1 ),
inference(resolution,[],[f274,f204]) ).
fof(f204,axiom,
! [X6] :
( lt(sk8(X6),sk6(X6))
| ~ strictorderedP(sk1)
| nil = sk1
| ~ ssList(X6)
| sk2 != app(sk1,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f274,plain,
! [X0,X1] :
( ~ lt(sk8(sk5),X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| nil = sk1
| app(cons(X0,nil),X1) != sk5 ),
inference(subsumption_resolution,[],[f273,f252]) ).
fof(f273,plain,
! [X0,X1] :
( ~ ssItem(X0)
| app(cons(X0,nil),X1) != sk5
| ~ lt(sk8(sk5),X0)
| nil = sk1
| ~ ssList(X1)
| sk2 != app(sk1,sk5) ),
inference(subsumption_resolution,[],[f272,f192]) ).
fof(f272,plain,
! [X0,X1] :
( ~ ssList(sk5)
| ~ ssItem(X0)
| ~ ssList(X1)
| sk2 != app(sk1,sk5)
| nil = sk1
| ~ lt(sk8(sk5),X0)
| app(cons(X0,nil),X1) != sk5 ),
inference(duplicate_literal_removal,[],[f271]) ).
fof(f271,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ lt(sk8(sk5),X0)
| app(cons(X0,nil),X1) != sk5
| sk2 != app(sk1,sk5)
| nil = sk1
| ~ ssList(sk5)
| ~ ssItem(X0)
| nil = sk1 ),
inference(resolution,[],[f270,f253]) ).
fof(f253,plain,
! [X6] :
( ssList(sk9(X6))
| ~ ssList(X6)
| sk2 != app(sk1,X6)
| nil = sk1 ),
inference(subsumption_resolution,[],[f202,f248]) ).
fof(f202,axiom,
! [X6] :
( ~ strictorderedP(sk1)
| ssList(sk9(X6))
| sk2 != app(sk1,X6)
| ~ ssList(X6)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f270,plain,
! [X0,X1] :
( ~ ssList(sk9(sk5))
| nil = sk1
| ~ lt(sk8(sk5),X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk5
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f269,f248]) ).
fof(f269,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ lt(sk8(sk5),X0)
| ~ ssList(sk9(sk5))
| ~ strictorderedP(sk1)
| app(cons(X0,nil),X1) != sk5
| nil = sk1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f268,f252]) ).
fof(f268,plain,
! [X0,X1] :
( sk2 != app(sk1,sk5)
| app(cons(X0,nil),X1) != sk5
| nil = sk1
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ lt(sk8(sk5),X0)
| ~ strictorderedP(sk1)
| ~ ssList(sk9(sk5)) ),
inference(subsumption_resolution,[],[f267,f192]) ).
fof(f267,plain,
! [X0,X1] :
( ~ ssList(sk9(sk5))
| app(cons(X0,nil),X1) != sk5
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(sk5)
| ~ lt(sk8(sk5),X0)
| ~ strictorderedP(sk1)
| nil = sk1
| sk2 != app(sk1,sk5) ),
inference(duplicate_literal_removal,[],[f266]) ).
fof(f266,plain,
! [X0,X1] :
( ~ strictorderedP(sk1)
| ~ ssList(sk5)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk5
| nil = sk1
| ~ lt(sk8(sk5),X0)
| ~ ssList(sk9(sk5))
| nil = sk1
| sk2 != app(sk1,sk5)
| ~ ssItem(X0) ),
inference(resolution,[],[f265,f201]) ).
fof(f201,axiom,
! [X6] :
( ssItem(sk8(X6))
| ~ strictorderedP(sk1)
| ~ ssList(X6)
| sk2 != app(sk1,X6)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f265,plain,
! [X0,X1] :
( ~ ssItem(sk8(sk5))
| ~ lt(sk8(sk5),X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk5
| ~ ssList(sk9(sk5))
| nil = sk1 ),
inference(trivial_inequality_removal,[],[f264]) ).
fof(f264,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk5
| ~ ssItem(X0)
| ~ ssList(sk9(sk5))
| ~ ssList(X1)
| ~ lt(sk8(sk5),X0)
| ~ ssItem(sk8(sk5))
| nil = sk1
| sk1 != sk1 ),
inference(superposition,[],[f245,f263]) ).
fof(f263,plain,
( sk1 = app(sk9(sk5),cons(sk8(sk5),nil))
| nil = sk1 ),
inference(subsumption_resolution,[],[f262,f192]) ).
fof(f262,plain,
( sk1 = app(sk9(sk5),cons(sk8(sk5),nil))
| ~ ssList(sk5)
| nil = sk1 ),
inference(trivial_inequality_removal,[],[f261]) ).
fof(f261,plain,
( sk1 = app(sk9(sk5),cons(sk8(sk5),nil))
| ~ ssList(sk5)
| sk2 != sk2
| nil = sk1 ),
inference(superposition,[],[f260,f252]) ).
fof(f260,plain,
! [X0] :
( sk2 != app(sk1,X0)
| ~ ssList(X0)
| sk1 = app(sk9(X0),cons(sk8(X0),nil))
| nil = sk1 ),
inference(resolution,[],[f203,f248]) ).
fof(f203,axiom,
! [X6] :
( ~ strictorderedP(sk1)
| sk2 != app(sk1,X6)
| sk1 = app(sk9(X6),cons(sk8(X6),nil))
| ~ ssList(X6)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f245,plain,
! [X8,X6,X9,X7] :
( sk1 != app(X9,cons(X8,nil))
| ~ ssItem(X8)
| sk5 != app(cons(X6,nil),X7)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssList(X9)
| ~ lt(X8,X6) ),
inference(backward_demodulation,[],[f195,f191]) ).
fof(f195,axiom,
! [X8,X6,X9,X7] :
( ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X8)
| sk5 != app(cons(X6,nil),X7)
| sk3 != app(X9,cons(X8,nil))
| ~ lt(X8,X6)
| ~ ssList(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f246,plain,
( nil != sk1
| nil = sk4 ),
inference(backward_demodulation,[],[f196,f191]) ).
fof(f196,axiom,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f309,plain,
sk2 = app(nil,sk5),
inference(backward_demodulation,[],[f252,f291]) ).
fof(f366,plain,
( nil != app(nil,sk5)
| ~ ssList(sk5) ),
inference(resolution,[],[f365,f322]) ).
fof(f322,plain,
! [X6] :
( ssList(sk9(X6))
| nil != app(nil,X6)
| ~ ssList(X6) ),
inference(forward_demodulation,[],[f321,f313]) ).
fof(f321,plain,
! [X6] :
( sk2 != app(nil,X6)
| ssList(sk9(X6))
| ~ ssList(X6) ),
inference(subsumption_resolution,[],[f308,f313]) ).
fof(f308,plain,
! [X6] :
( nil != sk2
| ssList(sk9(X6))
| sk2 != app(nil,X6)
| ~ ssList(X6) ),
inference(backward_demodulation,[],[f249,f291]) ).
fof(f249,plain,
! [X6] :
( nil != sk2
| sk2 != app(sk1,X6)
| ~ ssList(X6)
| ssList(sk9(X6)) ),
inference(subsumption_resolution,[],[f208,f248]) ).
fof(f208,axiom,
! [X6] :
( ~ ssList(X6)
| ssList(sk9(X6))
| nil != sk2
| ~ strictorderedP(sk1)
| sk2 != app(sk1,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_23) ).
fof(f365,plain,
~ ssList(sk9(sk5)),
inference(trivial_inequality_removal,[],[f364]) ).
fof(f364,plain,
( ~ ssList(sk9(sk5))
| nil != nil ),
inference(superposition,[],[f363,f346]) ).
fof(f346,plain,
nil = app(sk9(sk5),cons(sk8(sk5),nil)),
inference(subsumption_resolution,[],[f345,f192]) ).
fof(f345,plain,
( ~ ssList(sk5)
| nil = app(sk9(sk5),cons(sk8(sk5),nil)) ),
inference(trivial_inequality_removal,[],[f344]) ).
fof(f344,plain,
( nil != nil
| ~ ssList(sk5)
| nil = app(sk9(sk5),cons(sk8(sk5),nil)) ),
inference(superposition,[],[f320,f331]) ).
fof(f320,plain,
! [X6] :
( nil != app(nil,X6)
| nil = app(sk9(X6),cons(sk8(X6),nil))
| ~ ssList(X6) ),
inference(subsumption_resolution,[],[f319,f3]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f319,plain,
! [X6] :
( ~ ssList(X6)
| nil = app(sk9(X6),cons(sk8(X6),nil))
| ~ strictorderedP(nil)
| nil != app(nil,X6) ),
inference(forward_demodulation,[],[f318,f291]) ).
fof(f318,plain,
! [X6] :
( nil != app(nil,X6)
| ~ strictorderedP(sk1)
| ~ ssList(X6)
| nil = app(sk9(X6),cons(sk8(X6),nil)) ),
inference(forward_demodulation,[],[f317,f291]) ).
fof(f317,plain,
! [X6] :
( ~ ssList(X6)
| sk1 = app(sk9(X6),cons(sk8(X6),nil))
| nil != app(nil,X6)
| ~ strictorderedP(sk1) ),
inference(forward_demodulation,[],[f316,f313]) ).
fof(f316,plain,
! [X6] :
( sk2 != app(nil,X6)
| ~ ssList(X6)
| sk1 = app(sk9(X6),cons(sk8(X6),nil))
| ~ strictorderedP(sk1) ),
inference(subsumption_resolution,[],[f303,f313]) ).
fof(f303,plain,
! [X6] :
( sk1 = app(sk9(X6),cons(sk8(X6),nil))
| ~ strictorderedP(sk1)
| nil != sk2
| ~ ssList(X6)
| sk2 != app(nil,X6) ),
inference(backward_demodulation,[],[f209,f291]) ).
fof(f209,axiom,
! [X6] :
( nil != sk2
| sk2 != app(sk1,X6)
| ~ strictorderedP(sk1)
| sk1 = app(sk9(X6),cons(sk8(X6),nil))
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_24) ).
fof(f363,plain,
! [X0] :
( nil != app(X0,cons(sk8(sk5),nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f362,f192]) ).
fof(f362,plain,
! [X0] :
( ~ ssList(sk5)
| ~ ssList(X0)
| nil != app(X0,cons(sk8(sk5),nil)) ),
inference(subsumption_resolution,[],[f361,f331]) ).
fof(f361,plain,
! [X0] :
( nil != app(nil,sk5)
| ~ ssList(X0)
| ~ ssList(sk5)
| nil != app(X0,cons(sk8(sk5),nil)) ),
inference(resolution,[],[f360,f330]) ).
fof(f330,plain,
! [X6] :
( ssItem(sk8(X6))
| nil != app(nil,X6)
| ~ ssList(X6) ),
inference(subsumption_resolution,[],[f329,f3]) ).
fof(f329,plain,
! [X6] :
( ssItem(sk8(X6))
| ~ strictorderedP(nil)
| ~ ssList(X6)
| nil != app(nil,X6) ),
inference(forward_demodulation,[],[f328,f291]) ).
fof(f328,plain,
! [X6] :
( ~ strictorderedP(sk1)
| nil != app(nil,X6)
| ~ ssList(X6)
| ssItem(sk8(X6)) ),
inference(forward_demodulation,[],[f327,f313]) ).
fof(f327,plain,
! [X6] :
( ssItem(sk8(X6))
| sk2 != app(nil,X6)
| ~ ssList(X6)
| ~ strictorderedP(sk1) ),
inference(subsumption_resolution,[],[f302,f313]) ).
fof(f302,plain,
! [X6] :
( nil != sk2
| ~ ssList(X6)
| ~ strictorderedP(sk1)
| ssItem(sk8(X6))
| sk2 != app(nil,X6) ),
inference(backward_demodulation,[],[f207,f291]) ).
fof(f207,axiom,
! [X6] :
( nil != sk2
| ~ strictorderedP(sk1)
| sk2 != app(sk1,X6)
| ssItem(sk8(X6))
| ~ ssList(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).
fof(f360,plain,
! [X0] :
( ~ ssItem(sk8(sk5))
| nil != app(X0,cons(sk8(sk5),nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f359,f192]) ).
fof(f359,plain,
! [X0] :
( nil != app(X0,cons(sk8(sk5),nil))
| ~ ssItem(sk8(sk5))
| ~ ssList(X0)
| ~ ssList(sk5) ),
inference(subsumption_resolution,[],[f358,f331]) ).
fof(f358,plain,
! [X0] :
( nil != app(nil,sk5)
| ~ ssList(sk5)
| nil != app(X0,cons(sk8(sk5),nil))
| ~ ssItem(sk8(sk5))
| ~ ssList(X0) ),
inference(resolution,[],[f357,f326]) ).
fof(f326,plain,
! [X6] :
( lt(sk8(X6),sk6(X6))
| nil != app(nil,X6)
| ~ ssList(X6) ),
inference(forward_demodulation,[],[f325,f313]) ).
fof(f325,plain,
! [X6] :
( ~ ssList(X6)
| sk2 != app(nil,X6)
| lt(sk8(X6),sk6(X6)) ),
inference(subsumption_resolution,[],[f324,f3]) ).
fof(f324,plain,
! [X6] :
( ~ ssList(X6)
| ~ strictorderedP(nil)
| sk2 != app(nil,X6)
| lt(sk8(X6),sk6(X6)) ),
inference(forward_demodulation,[],[f323,f291]) ).
fof(f323,plain,
! [X6] :
( ~ strictorderedP(sk1)
| ~ ssList(X6)
| sk2 != app(nil,X6)
| lt(sk8(X6),sk6(X6)) ),
inference(subsumption_resolution,[],[f304,f313]) ).
fof(f304,plain,
! [X6] :
( ~ strictorderedP(sk1)
| nil != sk2
| sk2 != app(nil,X6)
| ~ ssList(X6)
| lt(sk8(X6),sk6(X6)) ),
inference(backward_demodulation,[],[f210,f291]) ).
fof(f210,axiom,
! [X6] :
( nil != sk2
| lt(sk8(X6),sk6(X6))
| ~ strictorderedP(sk1)
| ~ ssList(X6)
| sk2 != app(sk1,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_25) ).
fof(f357,plain,
! [X0,X1] :
( ~ lt(X1,sk6(sk5))
| ~ ssItem(X1)
| ~ ssList(X0)
| nil != app(X0,cons(X1,nil)) ),
inference(subsumption_resolution,[],[f356,f331]) ).
fof(f356,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ lt(X1,sk6(sk5))
| nil != app(X0,cons(X1,nil))
| nil != app(nil,sk5) ),
inference(subsumption_resolution,[],[f355,f192]) ).
fof(f355,plain,
! [X0,X1] :
( nil != app(X0,cons(X1,nil))
| ~ ssList(sk5)
| nil != app(nil,sk5)
| ~ ssList(X0)
| ~ lt(X1,sk6(sk5))
| ~ ssItem(X1) ),
inference(resolution,[],[f354,f335]) ).
fof(f335,plain,
! [X6] :
( ssList(sk7(X6))
| nil != app(nil,X6)
| ~ ssList(X6) ),
inference(forward_demodulation,[],[f334,f313]) ).
fof(f334,plain,
! [X6] :
( ~ ssList(X6)
| sk2 != app(nil,X6)
| ssList(sk7(X6)) ),
inference(subsumption_resolution,[],[f333,f3]) ).
fof(f333,plain,
! [X6] :
( ssList(sk7(X6))
| sk2 != app(nil,X6)
| ~ ssList(X6)
| ~ strictorderedP(nil) ),
inference(forward_demodulation,[],[f332,f291]) ).
fof(f332,plain,
! [X6] :
( ~ strictorderedP(sk1)
| ssList(sk7(X6))
| sk2 != app(nil,X6)
| ~ ssList(X6) ),
inference(subsumption_resolution,[],[f300,f313]) ).
fof(f300,plain,
! [X6] :
( ~ ssList(X6)
| sk2 != app(nil,X6)
| ssList(sk7(X6))
| ~ strictorderedP(sk1)
| nil != sk2 ),
inference(backward_demodulation,[],[f205,f291]) ).
fof(f205,axiom,
! [X6] :
( nil != sk2
| ssList(sk7(X6))
| ~ strictorderedP(sk1)
| ~ ssList(X6)
| sk2 != app(sk1,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
fof(f354,plain,
! [X0,X1] :
( ~ ssList(sk7(sk5))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ lt(X1,sk6(sk5))
| nil != app(X0,cons(X1,nil)) ),
inference(subsumption_resolution,[],[f353,f192]) ).
fof(f353,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ lt(X1,sk6(sk5))
| ~ ssList(sk7(sk5))
| ~ ssItem(X1)
| ~ ssList(sk5)
| nil != app(X0,cons(X1,nil)) ),
inference(subsumption_resolution,[],[f352,f331]) ).
fof(f352,plain,
! [X0,X1] :
( ~ ssList(sk7(sk5))
| nil != app(nil,sk5)
| ~ ssItem(X1)
| ~ ssList(sk5)
| ~ ssList(X0)
| nil != app(X0,cons(X1,nil))
| ~ lt(X1,sk6(sk5)) ),
inference(resolution,[],[f351,f339]) ).
fof(f339,plain,
! [X6] :
( ssItem(sk6(X6))
| ~ ssList(X6)
| nil != app(nil,X6) ),
inference(forward_demodulation,[],[f338,f313]) ).
fof(f338,plain,
! [X6] :
( sk2 != app(nil,X6)
| ~ ssList(X6)
| ssItem(sk6(X6)) ),
inference(subsumption_resolution,[],[f337,f3]) ).
fof(f337,plain,
! [X6] :
( ~ ssList(X6)
| sk2 != app(nil,X6)
| ~ strictorderedP(nil)
| ssItem(sk6(X6)) ),
inference(forward_demodulation,[],[f336,f291]) ).
fof(f336,plain,
! [X6] :
( ~ ssList(X6)
| ~ strictorderedP(sk1)
| ssItem(sk6(X6))
| sk2 != app(nil,X6) ),
inference(subsumption_resolution,[],[f295,f313]) ).
fof(f295,plain,
! [X6] :
( sk2 != app(nil,X6)
| nil != sk2
| ~ ssList(X6)
| ssItem(sk6(X6))
| ~ strictorderedP(sk1) ),
inference(backward_demodulation,[],[f198,f291]) ).
fof(f198,axiom,
! [X6] :
( nil != sk2
| ~ ssList(X6)
| ssItem(sk6(X6))
| sk2 != app(sk1,X6)
| ~ strictorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f351,plain,
! [X0,X1] :
( ~ ssItem(sk6(sk5))
| ~ ssList(sk7(sk5))
| nil != app(X0,cons(X1,nil))
| ~ lt(X1,sk6(sk5))
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(trivial_inequality_removal,[],[f350]) ).
fof(f350,plain,
! [X0,X1] :
( ~ ssItem(sk6(sk5))
| nil != app(X0,cons(X1,nil))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(sk7(sk5))
| ~ lt(X1,sk6(sk5))
| sk5 != sk5 ),
inference(superposition,[],[f305,f349]) ).
fof(f349,plain,
sk5 = app(cons(sk6(sk5),nil),sk7(sk5)),
inference(subsumption_resolution,[],[f348,f192]) ).
fof(f348,plain,
( sk5 = app(cons(sk6(sk5),nil),sk7(sk5))
| ~ ssList(sk5) ),
inference(trivial_inequality_removal,[],[f347]) ).
fof(f347,plain,
( ~ ssList(sk5)
| sk5 = app(cons(sk6(sk5),nil),sk7(sk5))
| nil != nil ),
inference(superposition,[],[f343,f331]) ).
fof(f343,plain,
! [X6] :
( nil != app(nil,X6)
| ~ ssList(X6)
| app(cons(sk6(X6),nil),sk7(X6)) = X6 ),
inference(subsumption_resolution,[],[f342,f3]) ).
fof(f342,plain,
! [X6] :
( ~ ssList(X6)
| app(cons(sk6(X6),nil),sk7(X6)) = X6
| nil != app(nil,X6)
| ~ strictorderedP(nil) ),
inference(forward_demodulation,[],[f341,f291]) ).
fof(f341,plain,
! [X6] :
( app(cons(sk6(X6),nil),sk7(X6)) = X6
| ~ ssList(X6)
| nil != app(nil,X6)
| ~ strictorderedP(sk1) ),
inference(forward_demodulation,[],[f340,f313]) ).
fof(f340,plain,
! [X6] :
( app(cons(sk6(X6),nil),sk7(X6)) = X6
| sk2 != app(nil,X6)
| ~ ssList(X6)
| ~ strictorderedP(sk1) ),
inference(subsumption_resolution,[],[f301,f313]) ).
fof(f301,plain,
! [X6] :
( ~ ssList(X6)
| sk2 != app(nil,X6)
| ~ strictorderedP(sk1)
| app(cons(sk6(X6),nil),sk7(X6)) = X6
| nil != sk2 ),
inference(backward_demodulation,[],[f206,f291]) ).
fof(f206,axiom,
! [X6] :
( nil != sk2
| app(cons(sk6(X6),nil),sk7(X6)) = X6
| ~ strictorderedP(sk1)
| ~ ssList(X6)
| sk2 != app(sk1,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
fof(f305,plain,
! [X8,X6,X9,X7] :
( sk5 != app(cons(X6,nil),X7)
| nil != app(X9,cons(X8,nil))
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X8)
| ~ lt(X8,X6)
| ~ ssList(X9) ),
inference(backward_demodulation,[],[f245,f291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWC343-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n026.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 19:02:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.47 % (12453)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.47 % (12445)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.48 % (12441)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 % (12456)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.50 % (12448)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (12444)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (12442)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (12436)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (12438)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)
% 0.19/0.52 % (12433)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (12435)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (12434)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (12432)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 % (12440)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (12443)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (12440)Instruction limit reached!
% 0.19/0.53 % (12440)------------------------------
% 0.19/0.53 % (12440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (12440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (12440)Termination reason: Unknown
% 0.19/0.53 % (12440)Termination phase: Function definition elimination
% 0.19/0.53
% 0.19/0.53 % (12440)Memory used [KB]: 1151
% 0.19/0.53 % (12440)Time elapsed: 0.003 s
% 0.19/0.53 % (12440)Instructions burned: 2 (million)
% 0.19/0.53 % (12440)------------------------------
% 0.19/0.53 % (12440)------------------------------
% 0.19/0.53 % (12455)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)
% 0.19/0.53 % (12439)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (12459)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53 % (12439)Instruction limit reached!
% 0.19/0.53 % (12439)------------------------------
% 0.19/0.53 % (12439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (12439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (12439)Termination reason: Unknown
% 0.19/0.53 % (12439)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (12439)Memory used [KB]: 5628
% 0.19/0.53 % (12439)Time elapsed: 0.005 s
% 0.19/0.53 % (12439)Instructions burned: 7 (million)
% 0.19/0.53 % (12439)------------------------------
% 0.19/0.53 % (12439)------------------------------
% 0.19/0.53 % (12458)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)
% 0.19/0.53 % (12450)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (12457)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (12447)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)
% 0.19/0.54 % (12449)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (12451)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (12446)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)
% 0.19/0.54 % (12452)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54 TRYING [1]
% 0.19/0.55 % (12454)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)
% 0.19/0.56 % (12437)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.56 TRYING [1]
% 0.19/0.56 TRYING [2]
% 0.19/0.56 % (12459)First to succeed.
% 0.19/0.56 TRYING [2]
% 0.19/0.57 % (12438)Instruction limit reached!
% 0.19/0.57 % (12438)------------------------------
% 0.19/0.57 % (12438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (12460)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.58 % (12459)Refutation found. Thanks to Tanya!
% 0.19/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58 % (12459)------------------------------
% 0.19/0.58 % (12459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (12459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (12459)Termination reason: Refutation
% 0.19/0.58
% 0.19/0.58 % (12459)Memory used [KB]: 1279
% 0.19/0.58 % (12459)Time elapsed: 0.166 s
% 0.19/0.58 % (12459)Instructions burned: 18 (million)
% 0.19/0.58 % (12459)------------------------------
% 0.19/0.58 % (12459)------------------------------
% 0.19/0.58 % (12431)Success in time 0.234 s
%------------------------------------------------------------------------------