TSTP Solution File: SYN094-1.005 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN094-1.005 : TPTP v3.4.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 16:43:07 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 34
% Syntax : Number of formulae : 111 ( 20 unt; 0 def)
% Number of atoms : 268 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 283 ( 126 ~; 157 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 34 ( 33 usr; 34 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(u_s3_type11_13,plain,
( u_14
| p_6
| ~ p_7
| ~ p_8 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(147902200,plain,
( u_14
| p_6
| ~ p_7
| ~ p_8 ),
inference(rewrite,[status(thm)],[u_s3_type11_13]),
[] ).
fof(u_38_t3_1,plain,
( p_8
| ~ u_38 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
fof(u_t3_1,plain,
( u_38
| p_8 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(148645168,plain,
( u_38
| p_8 ),
inference(rewrite,[status(thm)],[u_t3_1]),
[] ).
cnf(148657120,plain,
p_8,
inference(rewrite__forward_subsumption_resolution,[status(thm)],[u_38_t3_1,148645168]),
[] ).
cnf(157063976,plain,
( u_14
| p_6
| ~ p_7 ),
inference(resolution,[status(thm)],[147902200,148657120]),
[] ).
fof(u_16_s3_type11_15,plain,
( p_7
| ~ u_16 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(147984208,plain,
( p_7
| ~ u_16 ),
inference(rewrite,[status(thm)],[u_16_s3_type11_15]),
[] ).
fof(u_39_t3_2,plain,
( p_9
| ~ u_39 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
fof(u_t3_2,plain,
( u_39
| p_9 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(148665456,plain,
( u_39
| p_9 ),
inference(rewrite,[status(thm)],[u_t3_2]),
[] ).
cnf(148675632,plain,
p_9,
inference(rewrite__forward_subsumption_resolution,[status(thm)],[u_39_t3_2,148665456]),
[] ).
fof(u_s3_type11_15,plain,
( u_16
| p_7
| ~ p_8
| ~ p_9 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(147966184,plain,
( u_16
| p_7
| ~ p_8
| ~ p_9 ),
inference(rewrite,[status(thm)],[u_s3_type11_15]),
[] ).
cnf(157084256,plain,
( u_16
| p_7 ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[148675632,147966184,148657120]),
[] ).
cnf(157158456,plain,
p_7,
inference(resolution,[status(thm)],[147984208,157084256]),
[] ).
cnf(157278664,plain,
( u_14
| p_6 ),
inference(resolution,[status(thm)],[157063976,157158456]),
[] ).
fof(u_14_s3_type11_13,plain,
( p_6
| ~ u_14 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(147920256,plain,
( p_6
| ~ u_14 ),
inference(rewrite,[status(thm)],[u_14_s3_type11_13]),
[] ).
cnf(157288200,plain,
p_6,
inference(resolution,[status(thm)],[157278664,147920256]),
[] ).
fof(u_s3_type11_11,plain,
( u_12
| p_5
| ~ p_6
| ~ p_7 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(147838056,plain,
( u_12
| p_5
| ~ p_6
| ~ p_7 ),
inference(rewrite,[status(thm)],[u_s3_type11_11]),
[] ).
cnf(162527016,plain,
( u_12
| p_5 ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[157288200,147838056,157158456]),
[] ).
fof(u_12_s3_type11_11,plain,
( p_5
| ~ u_12 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(147856144,plain,
( p_5
| ~ u_12 ),
inference(rewrite,[status(thm)],[u_12_s3_type11_11]),
[] ).
cnf(162536512,plain,
p_5,
inference(resolution,[status(thm)],[162527016,147856144]),
[] ).
fof(u_s3_type12_9,plain,
( u_26
| q_4
| ~ p_5
| ~ q_6 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(148279920,plain,
( u_26
| q_4
| ~ p_5
| ~ q_6 ),
inference(rewrite,[status(thm)],[u_s3_type12_9]),
[] ).
fof(u_s3_type12_14,plain,
( u_31
| q_6
| ~ q_7
| ~ p_8 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(148432200,plain,
( u_31
| q_6
| ~ q_7
| ~ p_8 ),
inference(rewrite,[status(thm)],[u_s3_type12_14]),
[] ).
cnf(157089600,plain,
( u_31
| q_6
| ~ q_7 ),
inference(resolution,[status(thm)],[148432200,148657120]),
[] ).
fof(u_40_t3_3,plain,
( q_8
| ~ u_40 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
fof(u_t3_3,plain,
( u_40
| q_8 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(148688008,plain,
( u_40
| q_8 ),
inference(rewrite,[status(thm)],[u_t3_3]),
[] ).
cnf(148699928,plain,
q_8,
inference(rewrite__forward_subsumption_resolution,[status(thm)],[u_40_t3_3,148688008]),
[] ).
fof(u_s3_type12_16,plain,
( u_33
| q_7
| ~ q_8
| ~ p_9 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(148495096,plain,
( u_33
| q_7
| ~ q_8
| ~ p_9 ),
inference(rewrite,[status(thm)],[u_s3_type12_16]),
[] ).
cnf(157106216,plain,
( u_33
| q_7 ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[148699928,148495096,148675632]),
[] ).
fof(u_33_s3_type12_16,plain,
( q_7
| ~ u_33 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(148507480,plain,
( q_7
| ~ u_33 ),
inference(rewrite,[status(thm)],[u_33_s3_type12_16]),
[] ).
cnf(157170832,plain,
q_7,
inference(resolution,[status(thm)],[157106216,148507480]),
[] ).
cnf(157299824,plain,
( u_31
| q_6 ),
inference(resolution,[status(thm)],[157089600,157170832]),
[] ).
fof(u_31_s3_type12_14,plain,
( q_6
| ~ u_31 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(148444400,plain,
( q_6
| ~ u_31 ),
inference(rewrite,[status(thm)],[u_31_s3_type12_14]),
[] ).
cnf(157304672,plain,
q_6,
inference(resolution,[status(thm)],[157299824,148444400]),
[] ).
cnf(164279368,plain,
( u_26
| q_4 ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[162536512,148279920,157304672]),
[] ).
fof(u_s3_type12_5,plain,
( u_22
| q_2
| ~ p_3
| ~ q_4 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(148157544,plain,
( u_22
| q_2
| ~ p_3
| ~ q_4 ),
inference(rewrite,[status(thm)],[u_s3_type12_5]),
[] ).
fof(u_s3_type11_7,plain,
( u_8
| p_3
| ~ p_4
| ~ p_5 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(147714544,plain,
( u_8
| p_3
| ~ p_4
| ~ p_5 ),
inference(rewrite,[status(thm)],[u_s3_type11_7]),
[] ).
fof(u_8_s3_type11_7,plain,
( p_3
| ~ u_8 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(147728608,plain,
( p_3
| ~ u_8 ),
inference(rewrite,[status(thm)],[u_8_s3_type11_7]),
[] ).
cnf(160517400,plain,
( p_3
| ~ p_4
| ~ p_5 ),
inference(resolution,[status(thm)],[147714544,147728608]),
[] ).
fof(u_s3_type11_9,plain,
( u_10
| p_4
| ~ p_5
| ~ p_6 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(147777952,plain,
( u_10
| p_4
| ~ p_5
| ~ p_6 ),
inference(rewrite,[status(thm)],[u_s3_type11_9]),
[] ).
cnf(160543336,plain,
( u_10
| p_4
| ~ p_5 ),
inference(resolution,[status(thm)],[147777952,157288200]),
[] ).
fof(u_10_s3_type11_9,plain,
( p_4
| ~ u_10 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(147791872,plain,
( p_4
| ~ u_10 ),
inference(rewrite,[status(thm)],[u_10_s3_type11_9]),
[] ).
cnf(160556272,plain,
( p_4
| ~ p_5 ),
inference(resolution,[status(thm)],[160543336,147791872]),
[] ).
cnf(161177560,plain,
( p_3
| ~ p_5 ),
inference(resolution,[status(thm)],[160517400,160556272]),
[] ).
cnf(162648888,plain,
p_3,
inference(resolution,[status(thm)],[162536512,161177560]),
[] ).
cnf(163941280,plain,
( u_22
| q_2
| ~ q_4 ),
inference(resolution,[status(thm)],[148157544,162648888]),
[] ).
fof(u_s3_type12_1,plain,
( u_18
| q_0
| ~ p_1
| ~ q_2 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(148034352,plain,
( u_18
| q_0
| ~ p_1
| ~ q_2 ),
inference(rewrite,[status(thm)],[u_s3_type12_1]),
[] ).
fof(u_s3_type11_5,plain,
( u_6
| p_2
| ~ p_3
| ~ p_4 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(147655432,plain,
( u_6
| p_2
| ~ p_3
| ~ p_4 ),
inference(rewrite,[status(thm)],[u_s3_type11_5]),
[] ).
fof(u_6_s3_type11_5,plain,
( p_2
| ~ u_6 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(147669384,plain,
( p_2
| ~ u_6 ),
inference(rewrite,[status(thm)],[u_6_s3_type11_5]),
[] ).
cnf(159420160,plain,
( p_2
| ~ p_3
| ~ p_4 ),
inference(resolution,[status(thm)],[147655432,147669384]),
[] ).
fof(u_s3_type11_3,plain,
( u_4
| p_1
| ~ p_2
| ~ p_3 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(147487552,plain,
( u_4
| p_1
| ~ p_2
| ~ p_3 ),
inference(rewrite,[status(thm)],[u_s3_type11_3]),
[] ).
fof(u_4_s3_type11_3,plain,
( p_1
| ~ u_4 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(147605808,plain,
( p_1
| ~ u_4 ),
inference(rewrite,[status(thm)],[u_4_s3_type11_3]),
[] ).
cnf(158391392,plain,
( p_1
| ~ p_2
| ~ p_3 ),
inference(resolution,[status(thm)],[147487552,147605808]),
[] ).
cnf(159535000,plain,
( ~ p_3
| ~ p_4
| p_1 ),
inference(resolution,[status(thm)],[159420160,158391392]),
[] ).
cnf(161285344,plain,
( ~ p_5
| p_1 ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[160556272,160517400,159535000]),
[] ).
cnf(162669856,plain,
p_1,
inference(resolution,[status(thm)],[162536512,161285344]),
[] ).
cnf(163167312,plain,
( u_18
| q_0
| ~ q_2 ),
inference(resolution,[status(thm)],[148034352,162669856]),
[] ).
fof(u_s3_type11_1,plain,
( u_2
| p_0
| ~ p_1
| ~ p_2 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(147527384,plain,
( u_2
| p_0
| ~ p_1
| ~ p_2 ),
inference(rewrite,[status(thm)],[u_s3_type11_1]),
[] ).
fof(u_2_s3_type11_1,plain,
( p_0
| ~ u_2 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(147545696,plain,
( p_0
| ~ u_2 ),
inference(rewrite,[status(thm)],[u_2_s3_type11_1]),
[] ).
cnf(157455640,plain,
( p_0
| ~ p_1
| ~ p_2 ),
inference(resolution,[status(thm)],[147527384,147545696]),
[] ).
cnf(158454296,plain,
( ~ p_2
| ~ p_3
| p_0 ),
inference(resolution,[status(thm)],[158391392,157455640]),
[] ).
cnf(159553048,plain,
( ~ p_3
| ~ p_4
| p_0 ),
inference(resolution,[status(thm)],[159420160,158454296]),
[] ).
cnf(161292512,plain,
( ~ p_5
| p_0 ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[160556272,160517400,159553048]),
[] ).
fof(u_s3_goal_1,plain,
( u_1
| ~ p_0
| ~ q_0 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(147497152,plain,
( u_1
| ~ p_0
| ~ q_0 ),
inference(rewrite,[status(thm)],[u_s3_goal_1]),
[] ).
fof(u_1_s3_goal_1,plain,
~ u_1,
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(147509776,plain,
~ u_1,
inference(rewrite,[status(thm)],[u_1_s3_goal_1]),
[] ).
cnf(157146312,plain,
( ~ p_0
| ~ q_0 ),
inference(resolution,[status(thm)],[147497152,147509776]),
[] ).
cnf(161551600,plain,
( ~ p_5
| ~ q_0 ),
inference(resolution,[status(thm)],[161292512,157146312]),
[] ).
cnf(162686896,plain,
~ q_0,
inference(resolution,[status(thm)],[162536512,161551600]),
[] ).
cnf(163462760,plain,
( u_18
| ~ q_2 ),
inference(resolution,[status(thm)],[163167312,162686896]),
[] ).
fof(u_18_s3_type12_1,plain,
( q_0
| ~ u_18 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(148048080,plain,
( q_0
| ~ u_18 ),
inference(rewrite,[status(thm)],[u_18_s3_type12_1]),
[] ).
cnf(157352256,plain,
( ~ p_0
| ~ u_18 ),
inference(resolution,[status(thm)],[157146312,148048080]),
[] ).
cnf(161564496,plain,
( ~ p_5
| ~ u_18 ),
inference(resolution,[status(thm)],[161292512,157352256]),
[] ).
cnf(162698696,plain,
~ u_18,
inference(resolution,[status(thm)],[162536512,161564496]),
[] ).
cnf(162738184,plain,
~ q_2,
inference(resolution,[status(thm)],[163462760,162698696]),
[] ).
cnf(163962032,plain,
( u_22
| ~ q_4 ),
inference(resolution,[status(thm)],[163941280,162738184]),
[] ).
fof(u_22_s3_type12_5,plain,
( q_2
| ~ u_22 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(148171224,plain,
( q_2
| ~ u_22 ),
inference(rewrite,[status(thm)],[u_22_s3_type12_5]),
[] ).
cnf(163566648,plain,
~ u_22,
inference(resolution,[status(thm)],[162738184,148171224]),
[] ).
cnf(163969296,plain,
~ q_4,
inference(resolution,[status(thm)],[163962032,163566648]),
[] ).
cnf(164288424,plain,
u_26,
inference(resolution,[status(thm)],[164279368,163969296]),
[] ).
fof(u_26_s3_type12_9,plain,
( q_4
| ~ u_26 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),
[] ).
cnf(148293536,plain,
( q_4
| ~ u_26 ),
inference(rewrite,[status(thm)],[u_26_s3_type12_9]),
[] ).
cnf(164013184,plain,
~ u_26,
inference(resolution,[status(thm)],[163969296,148293536]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[164288424,164013184]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(u_s3_type11_13,plain,(u_14|p_6|~p_7|~p_8),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(147902200,plain,(u_14|p_6|~p_7|~p_8),inference(rewrite,[status(thm)],[u_s3_type11_13]),[]).
%
% fof(u_38_t3_1,plain,(p_8|~u_38),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% fof(u_t3_1,plain,(u_38|p_8),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(148645168,plain,(u_38|p_8),inference(rewrite,[status(thm)],[u_t3_1]),[]).
%
% cnf(148657120,plain,(p_8),inference(rewrite__forward_subsumption_resolution,[status(thm)],[u_38_t3_1,148645168]),[]).
%
% cnf(157063976,plain,(u_14|p_6|~p_7),inference(resolution,[status(thm)],[147902200,148657120]),[]).
%
% fof(u_16_s3_type11_15,plain,(p_7|~u_16),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(147984208,plain,(p_7|~u_16),inference(rewrite,[status(thm)],[u_16_s3_type11_15]),[]).
%
% fof(u_39_t3_2,plain,(p_9|~u_39),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% fof(u_t3_2,plain,(u_39|p_9),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(148665456,plain,(u_39|p_9),inference(rewrite,[status(thm)],[u_t3_2]),[]).
%
% cnf(148675632,plain,(p_9),inference(rewrite__forward_subsumption_resolution,[status(thm)],[u_39_t3_2,148665456]),[]).
%
% fof(u_s3_type11_15,plain,(u_16|p_7|~p_8|~p_9),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(147966184,plain,(u_16|p_7|~p_8|~p_9),inference(rewrite,[status(thm)],[u_s3_type11_15]),[]).
%
% cnf(157084256,plain,(u_16|p_7),inference(forward_subsumption_resolution__resolution,[status(thm)],[148675632,147966184,148657120]),[]).
%
% cnf(157158456,plain,(p_7),inference(resolution,[status(thm)],[147984208,157084256]),[]).
%
% cnf(157278664,plain,(u_14|p_6),inference(resolution,[status(thm)],[157063976,157158456]),[]).
%
% fof(u_14_s3_type11_13,plain,(p_6|~u_14),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(147920256,plain,(p_6|~u_14),inference(rewrite,[status(thm)],[u_14_s3_type11_13]),[]).
%
% cnf(157288200,plain,(p_6),inference(resolution,[status(thm)],[157278664,147920256]),[]).
%
% fof(u_s3_type11_11,plain,(u_12|p_5|~p_6|~p_7),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(147838056,plain,(u_12|p_5|~p_6|~p_7),inference(rewrite,[status(thm)],[u_s3_type11_11]),[]).
%
% cnf(162527016,plain,(u_12|p_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[157288200,147838056,157158456]),[]).
%
% fof(u_12_s3_type11_11,plain,(p_5|~u_12),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(147856144,plain,(p_5|~u_12),inference(rewrite,[status(thm)],[u_12_s3_type11_11]),[]).
%
% cnf(162536512,plain,(p_5),inference(resolution,[status(thm)],[162527016,147856144]),[]).
%
% fof(u_s3_type12_9,plain,(u_26|q_4|~p_5|~q_6),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(148279920,plain,(u_26|q_4|~p_5|~q_6),inference(rewrite,[status(thm)],[u_s3_type12_9]),[]).
%
% fof(u_s3_type12_14,plain,(u_31|q_6|~q_7|~p_8),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(148432200,plain,(u_31|q_6|~q_7|~p_8),inference(rewrite,[status(thm)],[u_s3_type12_14]),[]).
%
% cnf(157089600,plain,(u_31|q_6|~q_7),inference(resolution,[status(thm)],[148432200,148657120]),[]).
%
% fof(u_40_t3_3,plain,(q_8|~u_40),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% fof(u_t3_3,plain,(u_40|q_8),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(148688008,plain,(u_40|q_8),inference(rewrite,[status(thm)],[u_t3_3]),[]).
%
% cnf(148699928,plain,(q_8),inference(rewrite__forward_subsumption_resolution,[status(thm)],[u_40_t3_3,148688008]),[]).
%
% fof(u_s3_type12_16,plain,(u_33|q_7|~q_8|~p_9),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(148495096,plain,(u_33|q_7|~q_8|~p_9),inference(rewrite,[status(thm)],[u_s3_type12_16]),[]).
%
% cnf(157106216,plain,(u_33|q_7),inference(forward_subsumption_resolution__resolution,[status(thm)],[148699928,148495096,148675632]),[]).
%
% fof(u_33_s3_type12_16,plain,(q_7|~u_33),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(148507480,plain,(q_7|~u_33),inference(rewrite,[status(thm)],[u_33_s3_type12_16]),[]).
%
% cnf(157170832,plain,(q_7),inference(resolution,[status(thm)],[157106216,148507480]),[]).
%
% cnf(157299824,plain,(u_31|q_6),inference(resolution,[status(thm)],[157089600,157170832]),[]).
%
% fof(u_31_s3_type12_14,plain,(q_6|~u_31),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(148444400,plain,(q_6|~u_31),inference(rewrite,[status(thm)],[u_31_s3_type12_14]),[]).
%
% cnf(157304672,plain,(q_6),inference(resolution,[status(thm)],[157299824,148444400]),[]).
%
% cnf(164279368,plain,(u_26|q_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[162536512,148279920,157304672]),[]).
%
% fof(u_s3_type12_5,plain,(u_22|q_2|~p_3|~q_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(148157544,plain,(u_22|q_2|~p_3|~q_4),inference(rewrite,[status(thm)],[u_s3_type12_5]),[]).
%
% fof(u_s3_type11_7,plain,(u_8|p_3|~p_4|~p_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(147714544,plain,(u_8|p_3|~p_4|~p_5),inference(rewrite,[status(thm)],[u_s3_type11_7]),[]).
%
% fof(u_8_s3_type11_7,plain,(p_3|~u_8),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(147728608,plain,(p_3|~u_8),inference(rewrite,[status(thm)],[u_8_s3_type11_7]),[]).
%
% cnf(160517400,plain,(p_3|~p_4|~p_5),inference(resolution,[status(thm)],[147714544,147728608]),[]).
%
% fof(u_s3_type11_9,plain,(u_10|p_4|~p_5|~p_6),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(147777952,plain,(u_10|p_4|~p_5|~p_6),inference(rewrite,[status(thm)],[u_s3_type11_9]),[]).
%
% cnf(160543336,plain,(u_10|p_4|~p_5),inference(resolution,[status(thm)],[147777952,157288200]),[]).
%
% fof(u_10_s3_type11_9,plain,(p_4|~u_10),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(147791872,plain,(p_4|~u_10),inference(rewrite,[status(thm)],[u_10_s3_type11_9]),[]).
%
% cnf(160556272,plain,(p_4|~p_5),inference(resolution,[status(thm)],[160543336,147791872]),[]).
%
% cnf(161177560,plain,(p_3|~p_5),inference(resolution,[status(thm)],[160517400,160556272]),[]).
%
% cnf(162648888,plain,(p_3),inference(resolution,[status(thm)],[162536512,161177560]),[]).
%
% cnf(163941280,plain,(u_22|q_2|~q_4),inference(resolution,[status(thm)],[148157544,162648888]),[]).
%
% fof(u_s3_type12_1,plain,(u_18|q_0|~p_1|~q_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(148034352,plain,(u_18|q_0|~p_1|~q_2),inference(rewrite,[status(thm)],[u_s3_type12_1]),[]).
%
% fof(u_s3_type11_5,plain,(u_6|p_2|~p_3|~p_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(147655432,plain,(u_6|p_2|~p_3|~p_4),inference(rewrite,[status(thm)],[u_s3_type11_5]),[]).
%
% fof(u_6_s3_type11_5,plain,(p_2|~u_6),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(147669384,plain,(p_2|~u_6),inference(rewrite,[status(thm)],[u_6_s3_type11_5]),[]).
%
% cnf(159420160,plain,(p_2|~p_3|~p_4),inference(resolution,[status(thm)],[147655432,147669384]),[]).
%
% fof(u_s3_type11_3,plain,(u_4|p_1|~p_2|~p_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(147487552,plain,(u_4|p_1|~p_2|~p_3),inference(rewrite,[status(thm)],[u_s3_type11_3]),[]).
%
% fof(u_4_s3_type11_3,plain,(p_1|~u_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(147605808,plain,(p_1|~u_4),inference(rewrite,[status(thm)],[u_4_s3_type11_3]),[]).
%
% cnf(158391392,plain,(p_1|~p_2|~p_3),inference(resolution,[status(thm)],[147487552,147605808]),[]).
%
% cnf(159535000,plain,(~p_3|~p_4|p_1),inference(resolution,[status(thm)],[159420160,158391392]),[]).
%
% cnf(161285344,plain,(~p_5|p_1),inference(forward_subsumption_resolution__resolution,[status(thm)],[160556272,160517400,159535000]),[]).
%
% cnf(162669856,plain,(p_1),inference(resolution,[status(thm)],[162536512,161285344]),[]).
%
% cnf(163167312,plain,(u_18|q_0|~q_2),inference(resolution,[status(thm)],[148034352,162669856]),[]).
%
% fof(u_s3_type11_1,plain,(u_2|p_0|~p_1|~p_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(147527384,plain,(u_2|p_0|~p_1|~p_2),inference(rewrite,[status(thm)],[u_s3_type11_1]),[]).
%
% fof(u_2_s3_type11_1,plain,(p_0|~u_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(147545696,plain,(p_0|~u_2),inference(rewrite,[status(thm)],[u_2_s3_type11_1]),[]).
%
% cnf(157455640,plain,(p_0|~p_1|~p_2),inference(resolution,[status(thm)],[147527384,147545696]),[]).
%
% cnf(158454296,plain,(~p_2|~p_3|p_0),inference(resolution,[status(thm)],[158391392,157455640]),[]).
%
% cnf(159553048,plain,(~p_3|~p_4|p_0),inference(resolution,[status(thm)],[159420160,158454296]),[]).
%
% cnf(161292512,plain,(~p_5|p_0),inference(forward_subsumption_resolution__resolution,[status(thm)],[160556272,160517400,159553048]),[]).
%
% fof(u_s3_goal_1,plain,(u_1|~p_0|~q_0),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(147497152,plain,(u_1|~p_0|~q_0),inference(rewrite,[status(thm)],[u_s3_goal_1]),[]).
%
% fof(u_1_s3_goal_1,plain,(~u_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(147509776,plain,(~u_1),inference(rewrite,[status(thm)],[u_1_s3_goal_1]),[]).
%
% cnf(157146312,plain,(~p_0|~q_0),inference(resolution,[status(thm)],[147497152,147509776]),[]).
%
% cnf(161551600,plain,(~p_5|~q_0),inference(resolution,[status(thm)],[161292512,157146312]),[]).
%
% cnf(162686896,plain,(~q_0),inference(resolution,[status(thm)],[162536512,161551600]),[]).
%
% cnf(163462760,plain,(u_18|~q_2),inference(resolution,[status(thm)],[163167312,162686896]),[]).
%
% fof(u_18_s3_type12_1,plain,(q_0|~u_18),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(148048080,plain,(q_0|~u_18),inference(rewrite,[status(thm)],[u_18_s3_type12_1]),[]).
%
% cnf(157352256,plain,(~p_0|~u_18),inference(resolution,[status(thm)],[157146312,148048080]),[]).
%
% cnf(161564496,plain,(~p_5|~u_18),inference(resolution,[status(thm)],[161292512,157352256]),[]).
%
% cnf(162698696,plain,(~u_18),inference(resolution,[status(thm)],[162536512,161564496]),[]).
%
% cnf(162738184,plain,(~q_2),inference(resolution,[status(thm)],[163462760,162698696]),[]).
%
% cnf(163962032,plain,(u_22|~q_4),inference(resolution,[status(thm)],[163941280,162738184]),[]).
%
% fof(u_22_s3_type12_5,plain,(q_2|~u_22),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(148171224,plain,(q_2|~u_22),inference(rewrite,[status(thm)],[u_22_s3_type12_5]),[]).
%
% cnf(163566648,plain,(~u_22),inference(resolution,[status(thm)],[162738184,148171224]),[]).
%
% cnf(163969296,plain,(~q_4),inference(resolution,[status(thm)],[163962032,163566648]),[]).
%
% cnf(164288424,plain,(u_26),inference(resolution,[status(thm)],[164279368,163969296]),[]).
%
% fof(u_26_s3_type12_9,plain,(q_4|~u_26),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN094-1.005.tptp',unknown),[]).
%
% cnf(148293536,plain,(q_4|~u_26),inference(rewrite,[status(thm)],[u_26_s3_type12_9]),[]).
%
% cnf(164013184,plain,(~u_26),inference(resolution,[status(thm)],[163969296,148293536]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[164288424,164013184]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------