%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : LCL894+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:04:51 PM UTC 2026
% Result : Theorem 7.61s 1.40s
% Output : Proof 7.61s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
( '>='(c,'+'(a,'==>'(a,b)))
| '>='(c,a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_13)]) ).
cnf(g1,plain,
( '>='(c,'+'(a,'==>'(a,b)))
| '>='(c,b) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_13)]) ).
cnf(g2,plain,
( ~ '>='(c,'+'(a,'==>'(a,b)))
| ~ '>='(c,a)
| ~ '>='(c,b) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_13)]) ).
cnf(g3,plain,
( ~ '>='(c,'+'(a,'==>'(a,b)))
| ~ '>='('+'(a,'==>'(a,b)),a)
| '>='(c,a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05)]) ).
cnf(g4,plain,
( ~ '>='(c,b)
| '>='('==>'(a,c),'==>'(a,b)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11)]) ).
cnf(g5,plain,
( ~ '>='('==>'(a,c),'==>'(a,b))
| '>='('+'('==>'(a,c),a),'+'('==>'(a,b),a)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09)]) ).
cnf(g6,plain,
sPE('+'(b,'==>'(b,a)),'+'(a,'==>'(a,b))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12)]) ).
cnf(g7,plain,
sPE('+'(c,'0'),c),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03)]) ).
cnf(g8,plain,
sPE(a,a),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
( ~ '>='(c,'+'(a,'==>'(a,b)))
| ~ '>='('+'(a,'==>'(a,b)),b)
| '>='(c,b) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05)]) ).
cnf(g10,plain,
( ~ '>='('==>'(a,b),'==>'(a,b))
| '>='('+'(a,'==>'(a,b)),b) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07)]) ).
cnf(g11,plain,
'>='(a,a),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04)]) ).
cnf(g12,plain,
'>='('+'(c,'0'),'+'(c,'0')),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04)]) ).
cnf(g13,plain,
sPE('+'(a,'==>'(a,b)),'+'(a,'==>'(a,b))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
'>='('==>'(a,b),'==>'(a,b)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04)]) ).
cnf(g15,plain,
( ~ '>='(a,a)
| '>='('==>'(b,a),'==>'(b,a)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11)]) ).
cnf(g16,plain,
'>='('==>'(c,a),'0'),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08)]) ).
cnf(g17,plain,
sPE('+'(c,'0'),'+'(c,'0')),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g18,plain,
sPE('+'('==>'(a,b),a),'+'(a,'==>'(a,b))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02)]) ).
cnf(g19,plain,
( ~ '>='('==>'(b,a),'==>'(b,a))
| '>='('+'(b,'==>'(b,a)),a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07)]) ).
cnf(g20,plain,
( ~ sPE('+'(c,'0'),'+'(c,'0'))
| ~ sPE('+'(c,'0'),c)
| ~ '>='('+'(c,'0'),'+'(c,'0'))
| '>='('+'(c,'0'),c) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
( ~ '>='('0','==>'(c,'+'(a,'==>'(a,b))))
| '>='('+'(c,'0'),'+'(a,'==>'(a,b))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07)]) ).
cnf(g22,plain,
( ~ '>='('+'(c,'0'),a)
| '>='('0','==>'(c,a)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07)]) ).
cnf(g23,plain,
( ~ '>='('+'(c,'0'),c)
| ~ '>='(c,a)
| '>='('+'(c,'0'),a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05)]) ).
cnf(g24,plain,
( ~ '>='('==>'(c,a),'0')
| ~ '>='('0','==>'(c,a))
| sPE('==>'(c,a),'0') ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06)]) ).
cnf(g25,plain,
sPE('+'(a,'==>'(a,c)),'+'(c,'==>'(c,a))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12)]) ).
cnf(g26,plain,
( ~ sPE('+'(a,'==>'(a,c)),'+'(c,'==>'(c,a)))
| ~ sPE('+'(a,'==>'(a,b)),'+'(a,'==>'(a,b)))
| ~ '>='('+'(a,'==>'(a,c)),'+'(a,'==>'(a,b)))
| '>='('+'(c,'==>'(c,a)),'+'(a,'==>'(a,b))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
( ~ '>='('+'(c,'==>'(c,a)),'+'(a,'==>'(a,b)))
| '>='('==>'(c,a),'==>'(c,'+'(a,'==>'(a,b)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07)]) ).
cnf(g28,plain,
( ~ '>='(c,'+'(c,'0'))
| ~ '>='('+'(c,'0'),'+'(a,'==>'(a,b)))
| '>='(c,'+'(a,'==>'(a,b))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05)]) ).
cnf(g29,plain,
( ~ sPE('+'(b,'==>'(b,a)),'+'(a,'==>'(a,b)))
| ~ sPE(a,a)
| ~ '>='('+'(b,'==>'(b,a)),a)
| '>='('+'(a,'==>'(a,b)),a) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g30,plain,
sPE('+'('==>'(a,c),a),'+'(a,'==>'(a,c))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02)]) ).
cnf(g31,plain,
( ~ sPE('+'(c,'0'),c)
| ~ sPE('+'(c,'0'),'+'(c,'0'))
| ~ '>='('+'(c,'0'),'+'(c,'0'))
| '>='(c,'+'(c,'0')) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
sPE('==>'(c,'+'(a,'==>'(a,b))),'==>'(c,'+'(a,'==>'(a,b)))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
( ~ sPE('==>'(c,a),'0')
| ~ sPE('==>'(c,'+'(a,'==>'(a,b))),'==>'(c,'+'(a,'==>'(a,b))))
| ~ '>='('==>'(c,a),'==>'(c,'+'(a,'==>'(a,b))))
| '>='('0','==>'(c,'+'(a,'==>'(a,b)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ sPE('+'('==>'(a,c),a),'+'(a,'==>'(a,c)))
| ~ sPE('+'('==>'(a,b),a),'+'(a,'==>'(a,b)))
| ~ '>='('+'('==>'(a,c),a),'+'('==>'(a,b),a))
| '>='('+'(a,'==>'(a,c)),'+'(a,'==>'(a,b))) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL894+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04 % Command : satcop --statistics %s
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 21:09:00 UTC 2026
% 0.10/0.37 % CPUTime :
% 7.61/1.40 % symbols: 9
% 7.61/1.40 % clauses: 22
% 7.61/1.40 % start clauses: 3
% 7.61/1.40 % iterative deepening steps: 1474
% 7.61/1.40 % maximum path limit: 4
% 7.61/1.40 % literal attempts: 1322099
% 7.61/1.40 % depth failures: 964958
% 7.61/1.40 % regularity failures: 30513
% 7.61/1.40 % tautology failures: 76353
% 7.61/1.40 % reductions: 24945
% 7.61/1.40 % extensions: 1295214
% 7.61/1.40 % SAT variables: 95841
% 7.61/1.40 % SAT clauses: 153094
% 7.61/1.40 % WalkSAT solutions: 153087
% 7.61/1.40 % CDCL solutions: 2
% 7.61/1.40 % SZS status Theorem for theBenchmark
% 7.61/1.40 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------