TSTP Solution File: SYN679-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN679-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n029.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 19:28:05 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 28 ~; 23 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f214,plain,
$false,
inference(avatar_sat_refutation,[],[f180,f207,f210,f213]) ).
fof(f213,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f211]) ).
fof(f211,plain,
( $false
| spl0_8 ),
inference(resolution,[],[f206,f13]) ).
fof(f13,axiom,
p25(c32,c36),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_13) ).
fof(f206,plain,
( ~ p25(c32,c36)
| spl0_8 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl0_8
<=> p25(c32,c36) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f210,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f208]) ).
fof(f208,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f202,f12]) ).
fof(f12,axiom,
p25(c36,c33),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_12) ).
fof(f202,plain,
( ~ p25(c36,c33)
| spl0_7 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl0_7
<=> p25(c36,c33) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f207,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f195,f164,f204,f200]) ).
fof(f164,plain,
( spl0_4
<=> p2(f11(f4(c32),c34),f11(f4(c32),c34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f195,plain,
( ~ p2(f11(f4(c32),c34),f11(f4(c32),c34))
| ~ p25(c32,c36)
| ~ p25(c36,c33) ),
inference(resolution,[],[f154,f50]) ).
fof(f50,axiom,
! [X81] :
( p2(f11(f4(X81),c34),f11(f4(c32),c34))
| ~ p25(c32,X81)
| ~ p25(X81,c33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_50) ).
fof(f154,plain,
! [X11] :
( ~ p2(f11(f4(c36),c34),X11)
| ~ p2(f11(f4(c32),c34),X11) ),
inference(resolution,[],[f117,f40]) ).
fof(f40,axiom,
p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_40) ).
fof(f117,plain,
! [X6,X4,X5] :
( ~ p2(X6,f16(X4,f9(f17(c31))))
| ~ p2(X4,X5)
| ~ p2(X6,X5) ),
inference(resolution,[],[f112,f31]) ).
fof(f31,axiom,
! [X34,X5,X33] :
( p2(X33,X34)
| ~ p2(X5,X33)
| ~ p2(X5,X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_31) ).
fof(f112,plain,
! [X0,X1] :
( ~ p2(f16(X0,f9(f17(c31))),X1)
| ~ p2(X0,X1) ),
inference(resolution,[],[f76,f7]) ).
fof(f7,axiom,
! [X5] : p2(X5,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
fof(f76,plain,
! [X2,X3,X4] :
( ~ p2(X4,f9(f17(c31)))
| ~ p2(f16(X2,X4),X3)
| ~ p2(X2,X3) ),
inference(resolution,[],[f48,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ p2(X0,f16(X1,f9(f17(c31))))
| ~ p2(X0,X1) ),
inference(resolution,[],[f31,f19]) ).
fof(f19,axiom,
! [X10] : ~ p2(X10,f16(X10,f9(f17(c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_19) ).
fof(f48,axiom,
! [X73,X76,X74,X75] :
( p2(f16(X73,X74),f16(X75,X76))
| ~ p2(X73,X75)
| ~ p2(X74,X76) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_48) ).
fof(f180,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f177]) ).
fof(f177,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f166,f7]) ).
fof(f166,plain,
( ~ p2(f11(f4(c32),c34),f11(f4(c32),c34))
| spl0_4 ),
inference(avatar_component_clause,[],[f164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN679-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % 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 : n029.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 22:25:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 % (9689)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.48 % (9689)First to succeed.
% 0.19/0.50 % (9697)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)
% 0.19/0.51 % (9689)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (9689)------------------------------
% 0.19/0.51 % (9689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (9689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (9689)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (9689)Memory used [KB]: 5884
% 0.19/0.51 % (9689)Time elapsed: 0.097 s
% 0.19/0.51 % (9689)Instructions burned: 8 (million)
% 0.19/0.51 % (9689)------------------------------
% 0.19/0.51 % (9689)------------------------------
% 0.19/0.51 % (9683)Success in time 0.156 s
%------------------------------------------------------------------------------