TSTP Solution File: COL003-5 by SATCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : COL003-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %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 : 600s
% DateTime : Fri Jul 15 00:41:09 EDT 2022
% Result : Unsatisfiable 141.20s 18.12s
% Output : Proof 141.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ fixed_point(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point)]) ).
cnf(g1,plain,
( ~ sPE(apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt),apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt)))
| fixed_point(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_fixed_point)]) ).
cnf(g2,plain,
( ~ sPE(apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt)),apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt))
| sPE(apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt),apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g3,plain,
sPE(apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt),apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition)]) ).
cnf(g4,plain,
sPE(fixed_pt,fixed_pt),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g5,plain,
sPE(apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt)),apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition)]) ).
cnf(g6,plain,
sPE(apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(w,apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_definition)]) ).
cnf(g7,plain,
sPE(apply(apply(apply(b,b),b),fixed_pt),apply(b,apply(b,fixed_pt))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition)]) ).
cnf(g8,plain,
( ~ sPE(apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt),apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt)))
| sPE(apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt)),apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
( ~ sPE(fixed_pt,fixed_pt)
| ~ sPE(apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt),apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt)))
| sPE(apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt)),apply(fixed_pt,apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g10,plain,
( ~ sPE(apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt)),apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt)))
| ~ sPE(apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt)),apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt))
| sPE(apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt)),apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g11,plain,
sPE(apply(apply(w,apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_definition)]) ).
cnf(g12,plain,
( ~ sPE(apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt)),apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| sPE(apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
( ~ sPE(apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt)),apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| ~ sPE(apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(w,apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| sPE(apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt)),apply(apply(w,apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
( ~ sPE(apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt)),apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| ~ sPE(apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt)))
| sPE(apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt)),apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g15,plain,
( ~ sPE(apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt)))
| ~ sPE(apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt)),apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt))
| sPE(apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ sPE(fixed_pt,fixed_pt)
| ~ sPE(apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt)),apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| sPE(apply(fixed_pt,apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt))),apply(fixed_pt,apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
sPE(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g18,plain,
sPE(w,w),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
( ~ sPE(apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt))
| sPE(apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt),apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
( ~ sPE(w,w)
| ~ sPE(apply(apply(apply(b,b),b),fixed_pt),apply(b,apply(b,fixed_pt)))
| sPE(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(b,apply(b,fixed_pt)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
( ~ sPE(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(b,apply(b,fixed_pt))))
| sPE(apply(w,apply(b,apply(b,fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
( ~ sPE(fixed_pt,fixed_pt)
| ~ sPE(apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(w,apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| sPE(apply(fixed_pt,apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(fixed_pt,apply(apply(w,apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
( ~ sPE(apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt)),apply(fixed_pt,apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt))))
| ~ sPE(apply(fixed_pt,apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt))),apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| sPE(apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt)),apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
( ~ sPE(apply(fixed_pt,apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt))),apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt))
| ~ sPE(apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt),apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| sPE(apply(fixed_pt,apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt))),apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,plain,
( ~ sPE(fixed_pt,fixed_pt)
| ~ sPE(apply(apply(w,apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| sPE(apply(fixed_pt,apply(apply(w,apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(fixed_pt,apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g26,plain,
sPE(apply(apply(apply(b,fixed_pt),apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(fixed_pt,apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition)]) ).
cnf(g27,plain,
( ~ sPE(apply(apply(apply(b,fixed_pt),apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(fixed_pt,apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))))
| sPE(apply(fixed_pt,apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(apply(apply(b,fixed_pt),apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
( ~ sPE(apply(fixed_pt,apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(fixed_pt,apply(apply(w,apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))))
| ~ sPE(apply(fixed_pt,apply(apply(w,apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(fixed_pt,apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))))
| sPE(apply(fixed_pt,apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(fixed_pt,apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g29,plain,
( ~ sPE(apply(fixed_pt,apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(apply(apply(b,fixed_pt),apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| ~ sPE(apply(apply(apply(b,fixed_pt),apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| sPE(apply(fixed_pt,apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g30,plain,
( ~ sPE(apply(apply(b,fixed_pt),apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| ~ sPE(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt)))
| sPE(apply(apply(apply(b,fixed_pt),apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( ~ sPE(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(b,fixed_pt),apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt)))))
| sPE(apply(apply(b,fixed_pt),apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
( ~ sPE(apply(fixed_pt,apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| sPE(apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(fixed_pt,apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
( ~ sPE(apply(fixed_pt,apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt))),apply(fixed_pt,apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt)))))
| ~ sPE(apply(fixed_pt,apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt))
| sPE(apply(fixed_pt,apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt))),apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ sPE(apply(fixed_pt,apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(fixed_pt,apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))))
| ~ sPE(apply(fixed_pt,apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt))
| sPE(apply(fixed_pt,apply(apply(w,w),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g35,plain,
( ~ sPE(apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt),apply(fixed_pt,apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))))
| sPE(apply(fixed_pt,apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g36,plain,
( ~ sPE(apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt)),apply(apply(w,apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| ~ sPE(apply(apply(w,apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| sPE(apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt)),apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g37,plain,
sPE(apply(apply(apply(b,apply(b,fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(b,fixed_pt),apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition)]) ).
cnf(g38,plain,
( ~ sPE(apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt),apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt)))
| ~ sPE(apply(apply(apply(b,apply(w,w)),w),apply(apply(apply(b,b),b),fixed_pt)),apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| sPE(apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt),apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g39,plain,
( ~ sPE(apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt),apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| ~ sPE(apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(fixed_pt,apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))))
| sPE(apply(apply(apply(b,apply(apply(b,apply(w,w)),w)),apply(apply(b,b),b)),fixed_pt),apply(fixed_pt,apply(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g40,plain,
sPE(apply(apply(w,apply(b,apply(b,fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(apply(b,apply(b,fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_definition)]) ).
cnf(g41,plain,
( ~ sPE(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(w,apply(b,apply(b,fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| ~ sPE(apply(apply(w,apply(b,apply(b,fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(b,fixed_pt),apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt)))))
| sPE(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(b,fixed_pt),apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g42,plain,
( ~ sPE(apply(apply(w,apply(b,apply(b,fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(apply(b,apply(b,fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| ~ sPE(apply(apply(apply(b,apply(b,fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(b,fixed_pt),apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt)))))
| sPE(apply(apply(w,apply(b,apply(b,fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(b,fixed_pt),apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g43,plain,
( ~ sPE(apply(apply(w,apply(b,apply(b,fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))))
| sPE(apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(w,apply(b,apply(b,fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g44,plain,
( ~ sPE(apply(w,apply(b,apply(b,fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt)))
| ~ sPE(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt)))
| sPE(apply(apply(w,apply(b,apply(b,fixed_pt))),apply(w,apply(apply(apply(b,b),b),fixed_pt))),apply(apply(w,apply(apply(apply(b,b),b),fixed_pt)),apply(w,apply(apply(apply(b,b),b),fixed_pt)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL003-5 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : satcop --statistics %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue May 31 07:52:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 141.20/18.12 % symbols: 7
% 141.20/18.12 % clauses: 9
% 141.20/18.12 % start clauses: 1
% 141.20/18.12 % iterative deepening steps: 3664
% 141.20/18.12 % maximum path limit: 11
% 141.20/18.12 % literal attempts: 5076384
% 141.20/18.12 % depth failures: 2315935
% 141.20/18.12 % regularity failures: 524061
% 141.20/18.12 % tautology failures: 881452
% 141.20/18.12 % reductions: 0
% 141.20/18.12 % extensions: 5074180
% 141.20/18.12 % SAT variables: 1360845
% 141.20/18.12 % SAT clauses: 2148987
% 141.20/18.12 % WalkSAT solutions: 2148986
% 141.20/18.12 % CDCL solutions: 0
% 141.20/18.12 % SZS status Unsatisfiable for theBenchmark
% 141.20/18.12 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------