TSTP Solution File: SYN553-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN553-1 : 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 : 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 19:27:43 EDT 2022
% Result : Unsatisfiable 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 12 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 26 ~; 15 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f169,plain,
$false,
inference(avatar_sat_refutation,[],[f152,f156,f168]) ).
fof(f168,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f166,plain,
( $false
| spl0_10 ),
inference(resolution,[],[f151,f1]) ).
fof(f1,axiom,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f151,plain,
( ~ p2(f9(c4),f9(c4))
| spl0_10 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl0_10
<=> p2(f9(c4),f9(c4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f156,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f153]) ).
fof(f153,plain,
( $false
| spl0_9 ),
inference(resolution,[],[f147,f5]) ).
fof(f5,axiom,
! [X2,X1] : p2(f8(X1,X2),f8(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
fof(f147,plain,
( ~ p2(f8(c4,f9(c3)),f8(f9(c3),c4))
| spl0_9 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl0_9
<=> p2(f8(c4,f9(c3)),f8(f9(c3),c4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f152,plain,
( ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f142,f149,f145]) ).
fof(f142,plain,
( ~ p2(f9(c4),f9(c4))
| ~ p2(f8(c4,f9(c3)),f8(f9(c3),c4)) ),
inference(resolution,[],[f137,f8]) ).
fof(f8,axiom,
! [X10,X11,X9,X12] :
( p2(f8(X9,X10),f8(X11,X12))
| ~ p2(X10,X12)
| ~ p2(X9,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
fof(f137,plain,
~ p2(f8(f8(c4,f9(c3)),f9(c4)),f8(f8(f9(c3),c4),f9(c4))),
inference(resolution,[],[f116,f7]) ).
fof(f7,axiom,
! [X8,X6,X7] : p2(f8(X6,f8(X7,X8)),f8(f8(X6,X7),X8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
fof(f116,plain,
! [X0] :
( ~ p2(f8(c4,f8(f9(c3),f9(c4))),X0)
| ~ p2(X0,f8(f8(f9(c3),c4),f9(c4))) ),
inference(resolution,[],[f111,f6]) ).
fof(f6,axiom,
! [X3,X4,X5] :
( p2(X3,X4)
| ~ p2(X3,X5)
| ~ p2(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
fof(f111,plain,
~ p2(f8(c4,f8(f9(c3),f9(c4))),f8(f8(f9(c3),c4),f9(c4))),
inference(resolution,[],[f86,f5]) ).
fof(f86,plain,
! [X0] :
( ~ p2(f8(f8(f9(c3),f9(c4)),c4),X0)
| ~ p2(X0,f8(f8(f9(c3),c4),f9(c4))) ),
inference(resolution,[],[f80,f6]) ).
fof(f80,plain,
~ p2(f8(f8(f9(c3),f9(c4)),c4),f8(f8(f9(c3),c4),f9(c4))),
inference(resolution,[],[f77,f7]) ).
fof(f77,plain,
! [X0] :
( ~ p2(f8(f9(c3),f8(f9(c4),c4)),X0)
| ~ p2(X0,f8(f8(f9(c3),c4),f9(c4))) ),
inference(resolution,[],[f72,f6]) ).
fof(f72,plain,
~ p2(f8(f9(c3),f8(f9(c4),c4)),f8(f8(f9(c3),c4),f9(c4))),
inference(resolution,[],[f45,f5]) ).
fof(f45,plain,
! [X0] :
( ~ p2(X0,f8(f9(c4),f8(f9(c3),c4)))
| ~ p2(f8(f9(c3),f8(f9(c4),c4)),X0) ),
inference(resolution,[],[f36,f6]) ).
fof(f36,plain,
~ p2(f8(f9(c3),f8(f9(c4),c4)),f8(f9(c4),f8(f9(c3),c4))),
inference(resolution,[],[f25,f5]) ).
fof(f25,plain,
! [X0] :
( ~ p2(f8(f8(f9(c4),c4),f9(c3)),X0)
| ~ p2(X0,f8(f9(c4),f8(f9(c3),c4))) ),
inference(resolution,[],[f9,f6]) ).
fof(f9,axiom,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN553-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 22:22:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.46 % (7501)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.46 % (7521)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.18/0.47 % (7501)First to succeed.
% 0.18/0.47 % (7513)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.48 % (7505)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.48 % (7501)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (7501)------------------------------
% 0.18/0.48 % (7501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (7501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (7501)Termination reason: Refutation
% 0.18/0.48
% 0.18/0.48 % (7501)Memory used [KB]: 5884
% 0.18/0.48 % (7501)Time elapsed: 0.099 s
% 0.18/0.48 % (7501)Instructions burned: 7 (million)
% 0.18/0.48 % (7501)------------------------------
% 0.18/0.48 % (7501)------------------------------
% 0.18/0.48 % (7495)Success in time 0.139 s
%------------------------------------------------------------------------------