TSTP Solution File: SYN347-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN347-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n022.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 19:37:37 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 29 ( 1 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 83 ( 38 ~; 40 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,plain,
$false,
inference(avatar_sat_refutation,[],[f14,f18,f22,f26,f45,f61]) ).
fof(f61,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f60,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f56,f17]) ).
fof(f17,plain,
( ! [X0,X1] :
( ~ f(X1,y(X0,X1))
| ~ f(X0,y(X0,X1)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f16,plain,
( spl0_3
<=> ! [X0,X1] :
( ~ f(X1,y(X0,X1))
| ~ f(X0,y(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f56,plain,
( ! [X0] : f(X0,y(X0,X0))
| ~ spl0_2 ),
inference(factoring,[],[f13]) ).
fof(f13,plain,
( ! [X0,X1] :
( f(X1,y(X0,X1))
| f(X0,y(X0,X1)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f12,plain,
( spl0_2
<=> ! [X0,X1] :
( f(X0,y(X0,X1))
| f(X1,y(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f45,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f44]) ).
fof(f44,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f42,f34]) ).
fof(f34,plain,
( f(a,y(a,b))
| ~ spl0_4 ),
inference(factoring,[],[f28]) ).
fof(f28,plain,
( ! [X0] :
( f(a,y(X0,b))
| f(X0,y(X0,b)) )
| ~ spl0_4 ),
inference(resolution,[],[f21,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( f(b,y(X0,X1))
| f(a,y(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f21,plain,
( ! [X0,X1] :
( ~ f(X1,y(X0,X1))
| f(X0,y(X0,X1)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f20,plain,
( spl0_4
<=> ! [X0,X1] :
( f(X0,y(X0,X1))
| ~ f(X1,y(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f42,plain,
( ~ f(a,y(a,b))
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f40,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ f(b,y(X0,X1))
| ~ f(a,y(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f40,plain,
( f(b,y(a,b))
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f34,f25]) ).
fof(f25,plain,
( ! [X0,X1] :
( ~ f(X0,y(X0,X1))
| f(X1,y(X0,X1)) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f24,plain,
( spl0_5
<=> ! [X0,X1] :
( ~ f(X0,y(X0,X1))
| f(X1,y(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f26,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f2,f24,f8]) ).
fof(f8,plain,
( spl0_1
<=> f(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ f(X0,y(X0,X1))
| f(a,b)
| f(X1,y(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f22,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f1,f8,f20]) ).
fof(f1,axiom,
! [X0,X1] :
( f(a,b)
| f(X0,y(X0,X1))
| ~ f(X1,y(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f18,plain,
( spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f3,f8,f16]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ f(a,b)
| ~ f(X1,y(X0,X1))
| ~ f(X0,y(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f14,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f12,f8]) ).
fof(f4,axiom,
! [X0,X1] :
( f(X0,y(X0,X1))
| ~ f(a,b)
| f(X1,y(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN347-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12 % 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 : n022.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 21:47:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (6500)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.18/0.49 % (6516)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 (3000ds/467Mi)
% 0.18/0.49 % (6502)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 (3000ds/51Mi)
% 0.18/0.49 % (6508)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 (3000ds/75Mi)
% 0.18/0.50 % (6500)First to succeed.
% 0.18/0.50 % (6500)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (6500)------------------------------
% 0.18/0.50 % (6500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (6500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (6500)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (6500)Memory used [KB]: 5373
% 0.18/0.50 % (6500)Time elapsed: 0.106 s
% 0.18/0.50 % (6500)Instructions burned: 2 (million)
% 0.18/0.50 % (6500)------------------------------
% 0.18/0.50 % (6500)------------------------------
% 0.18/0.50 % (6492)Success in time 0.158 s
%------------------------------------------------------------------------------