TSTP Solution File: SWC096-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC096-1 : 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 : n027.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 18:38:46 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 36 ( 5 unt; 0 def)
% Number of atoms : 105 ( 21 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 140 ( 71 ~; 63 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f276,plain,
$false,
inference(avatar_sat_refutation,[],[f249,f261,f262,f263,f264,f265,f275]) ).
fof(f275,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f274]) ).
fof(f274,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f273,f234]) ).
fof(f234,plain,
( ssItem(sk5)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl0_3
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f273,plain,
( ~ ssItem(sk5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f272,f247]) ).
fof(f247,plain,
( ssList(sk6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl0_6
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f272,plain,
( ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f271]) ).
fof(f271,plain,
( ~ ssItem(sk5)
| ~ ssList(sk6)
| cons(sk5,nil) != cons(sk5,nil)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(equality_resolution,[],[f270]) ).
fof(f270,plain,
( ! [X0,X1] :
( app(sk6,cons(sk5,nil)) != app(X0,cons(X1,nil))
| ~ ssList(X0)
| ~ ssItem(X1)
| cons(sk5,nil) != cons(X1,nil) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f266,f258]) ).
fof(f258,plain,
( sk4 = app(sk6,cons(sk5,nil))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,plain,
( spl0_8
<=> sk4 = app(sk6,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f266,plain,
( ! [X6,X7] :
( sk4 != app(X7,cons(X6,nil))
| ~ ssItem(X6)
| cons(X6,nil) != cons(sk5,nil)
| ~ ssList(X7) )
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f242,f253]) ).
fof(f253,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl0_7
<=> sk3 = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f242,plain,
( ! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| sk4 != app(X7,cons(X6,nil))
| sk3 != cons(X6,nil) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl0_5
<=> ! [X6,X7] :
( sk4 != app(X7,cons(X6,nil))
| ~ ssList(X7)
| ~ ssItem(X6)
| sk3 != cons(X6,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f265,plain,
( ~ spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f203,f256,f236]) ).
fof(f236,plain,
( spl0_4
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f203,axiom,
( sk4 = app(sk6,cons(sk5,nil))
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f264,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f200,f236,f232]) ).
fof(f200,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f263,plain,
( spl0_5
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f208,f236,f241]) ).
fof(f208,plain,
! [X6,X7] :
( ~ neq(sk4,nil)
| ~ ssItem(X6)
| ~ ssList(X7)
| sk4 != app(X7,cons(X6,nil))
| sk3 != cons(X6,nil) ),
inference(definition_unfolding,[],[f199,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(f199,axiom,
! [X6,X7] :
( ~ neq(sk4,nil)
| ~ ssItem(X6)
| ~ ssList(X7)
| sk1 != cons(X6,nil)
| sk2 != app(X7,cons(X6,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f262,plain,
( spl0_7
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f202,f236,f251]) ).
fof(f202,axiom,
( ~ neq(sk4,nil)
| sk3 = cons(sk5,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f261,plain,
( ~ spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f201,f245,f236]) ).
fof(f201,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f249,plain,
spl0_4,
inference(avatar_split_clause,[],[f219,f236]) ).
fof(f219,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWC096-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % 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 : n027.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 18:29:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52 % (7690)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)
% 0.19/0.52 % (7699)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)
% 0.19/0.52 % (7684)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)
% 0.19/0.52 % (7698)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)
% 0.19/0.53 % (7698)Instruction limit reached!
% 0.19/0.53 % (7698)------------------------------
% 0.19/0.53 % (7698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (7705)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)
% 0.19/0.53 % (7687)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)
% 0.19/0.53 % (7686)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)
% 0.19/0.53 % (7698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (7698)Termination reason: Unknown
% 0.19/0.53 % (7698)Termination phase: Finite model building preprocessing
% 0.19/0.53
% 0.19/0.53 % (7698)Memory used [KB]: 1535
% 0.19/0.53 % (7698)Time elapsed: 0.005 s
% 0.19/0.53 % (7698)Instructions burned: 7 (million)
% 0.19/0.53 % (7698)------------------------------
% 0.19/0.53 % (7698)------------------------------
% 0.19/0.53 % (7686)First to succeed.
% 0.19/0.53 % (7699)Instruction limit reached!
% 0.19/0.53 % (7699)------------------------------
% 0.19/0.53 % (7699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (7699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (7699)Termination reason: Unknown
% 0.19/0.53 % (7699)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (7699)Memory used [KB]: 1535
% 0.19/0.53 % (7699)Time elapsed: 0.004 s
% 0.19/0.53 % (7699)Instructions burned: 3 (million)
% 0.19/0.53 % (7699)------------------------------
% 0.19/0.53 % (7699)------------------------------
% 0.19/0.53 % (7689)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)
% 0.19/0.53 % (7683)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.53 % (7686)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (7686)------------------------------
% 0.19/0.53 % (7686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (7686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (7686)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (7686)Memory used [KB]: 6012
% 0.19/0.53 % (7686)Time elapsed: 0.133 s
% 0.19/0.53 % (7686)Instructions burned: 3 (million)
% 0.19/0.53 % (7686)------------------------------
% 0.19/0.53 % (7686)------------------------------
% 0.19/0.53 % (7682)Success in time 0.178 s
%------------------------------------------------------------------------------