TSTP Solution File: COL042-3 by SATCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : COL042-3 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %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 : 600s
% DateTime : Fri Jul 15 00:41:14 EDT 2022
% Result : Unsatisfiable 137.32s 17.61s
% Output : Proof 137.32s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ fixed_point(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_strong_fixed_point)]) ).
cnf(g1,plain,
( ~ sPE(apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt),apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt)))
| fixed_point(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',strong_fixed_point)]) ).
cnf(g2,plain,
sPE(apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt),apply(apply(apply(b,apply(w1,w1)),apply(b,w1)),apply(apply(apply(b,b),b),fixed_pt))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition)]) ).
cnf(g3,plain,
sPE(fixed_pt,fixed_pt),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g4,plain,
sPE(apply(apply(apply(b,b),b),fixed_pt),apply(b,apply(b,fixed_pt))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition)]) ).
cnf(g5,plain,
sPE(apply(apply(apply(b,apply(w1,w1)),apply(b,w1)),apply(apply(apply(b,b),b),fixed_pt)),apply(apply(w1,w1),apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition)]) ).
cnf(g6,plain,
sPE(apply(apply(w1,w1),apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt))),apply(apply(apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)),w1),w1)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w1_definition)]) ).
cnf(g7,plain,
sPE(w1,w1),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
( ~ sPE(apply(apply(apply(b,apply(w1,w1)),apply(b,w1)),apply(apply(apply(b,b),b),fixed_pt)),apply(apply(w1,w1),apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt))))
| ~ sPE(apply(apply(w1,w1),apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt))),apply(apply(apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)),w1),w1))
| sPE(apply(apply(apply(b,apply(w1,w1)),apply(b,w1)),apply(apply(apply(b,b),b),fixed_pt)),apply(apply(apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)),w1),w1)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
sPE(apply(apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)),w1),apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition)]) ).
cnf(g10,plain,
( ~ sPE(apply(apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)),w1),apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)))
| ~ sPE(w1,w1)
| sPE(apply(apply(apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)),w1),w1),apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g11,plain,
( ~ sPE(apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt),apply(apply(apply(b,apply(w1,w1)),apply(b,w1)),apply(apply(apply(b,b),b),fixed_pt)))
| ~ sPE(apply(apply(apply(b,apply(w1,w1)),apply(b,w1)),apply(apply(apply(b,b),b),fixed_pt)),apply(apply(apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)),w1),w1))
| sPE(apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt),apply(apply(apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)),w1),w1)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1),apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w1_definition)]) ).
cnf(g13,plain,
( ~ sPE(apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt),apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1))
| ~ sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1),apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt)))
| sPE(apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt),apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
( ~ sPE(apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt),apply(apply(apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)),w1),w1))
| ~ sPE(apply(apply(apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)),w1),w1),apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1))
| sPE(apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt),apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g15,plain,
sPE(apply(apply(apply(apply(b,b),b),fixed_pt),w1),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ sPE(apply(apply(apply(b,b),b),fixed_pt),apply(b,apply(b,fixed_pt)))
| ~ sPE(w1,w1)
| sPE(apply(apply(apply(apply(b,b),b),fixed_pt),w1),apply(apply(b,apply(b,fixed_pt)),w1)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( ~ sPE(apply(apply(apply(apply(b,b),b),fixed_pt),w1),apply(apply(b,apply(b,fixed_pt)),w1))
| sPE(apply(apply(b,apply(b,fixed_pt)),w1),apply(apply(apply(apply(b,b),b),fixed_pt),w1)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g18,plain,
sPE(apply(apply(apply(b,apply(b,fixed_pt)),w1),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(b,fixed_pt),apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition)]) ).
cnf(g19,plain,
( ~ sPE(fixed_pt,fixed_pt)
| ~ sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1),apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1)))
| sPE(apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1)),apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
( ~ sPE(apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt)),apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1)))
| sPE(apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1)),apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
( ~ sPE(fixed_pt,fixed_pt)
| ~ sPE(apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt),apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1))
| sPE(apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt)),apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
( ~ sPE(apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1)),apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1))))
| ~ sPE(apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1))),apply(apply(apply(b,fixed_pt),apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1))),apply(apply(apply(apply(b,b),b),fixed_pt),w1)))
| sPE(apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1)),apply(apply(apply(b,fixed_pt),apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1))),apply(apply(apply(apply(b,b),b),fixed_pt),w1))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
( ~ sPE(apply(apply(apply(b,fixed_pt),apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1))),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1))))
| sPE(apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1))),apply(apply(apply(b,fixed_pt),apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1))),apply(apply(apply(apply(b,b),b),fixed_pt),w1))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
sPE(apply(apply(apply(b,fixed_pt),apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1))),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition)]) ).
cnf(g25,plain,
sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(apply(apply(b,apply(b,fixed_pt)),w1),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w1_definition)]) ).
cnf(g26,plain,
sPE(apply(apply(b,apply(b,fixed_pt)),w1),apply(apply(b,apply(b,fixed_pt)),w1)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
( ~ sPE(apply(apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)),w1),apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)))
| ~ sPE(apply(apply(b,apply(b,fixed_pt)),w1),apply(apply(apply(apply(b,b),b),fixed_pt),w1))
| sPE(apply(apply(apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)),w1),apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
( ~ sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1),apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(b,apply(b,fixed_pt)),w1)))
| ~ sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(b,apply(b,fixed_pt)),w1)),apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt)))
| sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1),apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g29,plain,
( ~ sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1),apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1)))
| ~ sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(b,apply(b,fixed_pt)),w1)))
| sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1),apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(b,apply(b,fixed_pt)),w1))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g30,plain,
( ~ sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1)))
| sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(b,apply(b,fixed_pt)),w1))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( ~ sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)),w1),apply(apply(b,apply(b,fixed_pt)),w1)))
| ~ sPE(apply(apply(apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)),w1),apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1)))
| sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
( ~ sPE(apply(apply(apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)),w1),apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(b,apply(b,fixed_pt)),w1)))
| sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)),w1),apply(apply(b,apply(b,fixed_pt)),w1))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
( ~ sPE(apply(apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)),w1),apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)))
| ~ sPE(apply(apply(b,apply(b,fixed_pt)),w1),apply(apply(b,apply(b,fixed_pt)),w1))
| sPE(apply(apply(apply(apply(b,w1),apply(apply(apply(b,b),b),fixed_pt)),w1),apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(b,apply(b,fixed_pt)),w1))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ sPE(apply(apply(apply(b,apply(b,fixed_pt)),w1),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(b,fixed_pt),apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1))))
| ~ sPE(apply(apply(apply(apply(b,b),b),fixed_pt),w1),apply(apply(apply(apply(b,b),b),fixed_pt),w1))
| sPE(apply(apply(apply(apply(b,apply(b,fixed_pt)),w1),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(b,fixed_pt),apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1))),apply(apply(apply(apply(b,b),b),fixed_pt),w1))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g35,plain,
( ~ sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(b,apply(b,fixed_pt)),w1)),apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1)))
| ~ sPE(apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1)),apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt)))
| sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(b,apply(b,fixed_pt)),w1)),apply(fixed_pt,apply(apply(apply(b,apply(apply(b,apply(w1,w1)),apply(b,w1))),apply(apply(b,b),b)),fixed_pt))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g36,plain,
( ~ sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(b,apply(b,fixed_pt)),w1)),apply(apply(apply(apply(b,apply(b,fixed_pt)),w1),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1)))
| ~ sPE(apply(apply(apply(apply(b,apply(b,fixed_pt)),w1),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1)))
| sPE(apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(b,apply(b,fixed_pt)),w1)),apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g37,plain,
( ~ sPE(apply(apply(apply(apply(b,apply(b,fixed_pt)),w1),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(b,fixed_pt),apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1))),apply(apply(apply(apply(b,b),b),fixed_pt),w1)))
| ~ sPE(apply(apply(apply(b,fixed_pt),apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1))),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1)))
| sPE(apply(apply(apply(apply(b,apply(b,fixed_pt)),w1),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g38,plain,
( ~ sPE(apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1)),apply(apply(apply(b,fixed_pt),apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1))),apply(apply(apply(apply(b,b),b),fixed_pt),w1)))
| sPE(apply(apply(apply(b,fixed_pt),apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1))),apply(apply(apply(apply(b,b),b),fixed_pt),w1)),apply(fixed_pt,apply(apply(w1,apply(apply(apply(apply(b,b),b),fixed_pt),w1)),w1))) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL042-3 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.13 % Command : satcop --statistics %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 : 600
% 0.13/0.34 % DateTime : Tue May 31 06:21:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 137.32/17.61 % symbols: 7
% 137.32/17.61 % clauses: 9
% 137.32/17.61 % start clauses: 1
% 137.32/17.61 % iterative deepening steps: 3914
% 137.32/17.61 % maximum path limit: 11
% 137.32/17.61 % literal attempts: 4850874
% 137.32/17.61 % depth failures: 2208100
% 137.32/17.61 % regularity failures: 500495
% 137.32/17.61 % tautology failures: 852061
% 137.32/17.61 % reductions: 0
% 137.32/17.61 % extensions: 4848812
% 137.32/17.61 % SAT variables: 1367010
% 137.32/17.61 % SAT clauses: 2106786
% 137.32/17.61 % WalkSAT solutions: 2106785
% 137.32/17.61 % CDCL solutions: 0
% 137.32/17.61 % SZS status Unsatisfiable for theBenchmark
% 137.32/17.61 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------