0.00/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.12	% Command    : nanocop_casc.sh %s %d
0.12/0.33	% Computer   : n021.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 180
0.12/0.33	% DateTime   : Thu Aug 29 09:26:49 EDT 2019
0.12/0.33	% CPUTime    : 
77.88/75.90	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
77.88/75.91	% SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
77.88/75.91	
77.88/75.91	- the following list represents a non-clausal connection proof
77.88/75.91	  (a tree in which each node is labelled with a nested clause)
77.88/75.91	- I^V is a skolem term f_I(V) for variable list V
77.88/75.91	- (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which
77.88/75.91	  I is the unique index of C, K distinguishes different copies
77.88/75.91	  of C, and V is the list of (instantiated) variables in C
77.88/75.92	
77.88/75.92	[(958 ^ 0) ^ [] : [modus_ponens_strict_implies], [(803 ^ 1) ^ [] : [-(modus_ponens_strict_implies), 806 ^ 1 : [(807 ^ 1) ^ [] : [-(is_a_theorem(804 ^ []))], (809 ^ 1) ^ [] : [-(is_a_theorem(strict_implies(804 ^ [], 805 ^ [])))], (811 ^ 1) ^ [] : [is_a_theorem(805 ^ [])]]], [(20 ^ 4) ^ [necessarily(implies(804 ^ [], 805 ^ [])), strict_implies(804 ^ [], 805 ^ [])] : [is_a_theorem(strict_implies(804 ^ [], 805 ^ [])), -(is_a_theorem(necessarily(implies(804 ^ [], 805 ^ [])))), strict_implies(804 ^ [], 805 ^ []) = necessarily(implies(804 ^ [], 805 ^ []))], [(230 ^ 5) ^ [] : [is_a_theorem(necessarily(implies(804 ^ [], 805 ^ []))), 233 ^ 5 : [(234 ^ 5) ^ [implies(804 ^ [], 805 ^ []), necessarily(implies(804 ^ [], 805 ^ []))] : [-(is_a_theorem(implies(804 ^ [], 805 ^ []))), is_a_theorem(implies(necessarily(implies(804 ^ [], 805 ^ [])), implies(804 ^ [], 805 ^ [])))]], modus_ponens], [(234 ^ 8) ^ [805 ^ [], 804 ^ []] : [is_a_theorem(implies(804 ^ [], 805 ^ [])), -(is_a_theorem(805 ^ [])), is_a_theorem(804 ^ [])], [(811 ^ 9) ^ [] : [is_a_theorem(805 ^ [])]], [(807 ^ 9) ^ [] : [-(is_a_theorem(804 ^ []))]]], [(854 ^ 8) ^ [] : [-(is_a_theorem(implies(necessarily(implies(804 ^ [], 805 ^ [])), implies(804 ^ [], 805 ^ [])))), 857 ^ 8 : [(858 ^ 8) ^ [implies(804 ^ [], 805 ^ [])] : []], axiom_M], [(936 ^ 9) ^ [] : [-(axiom_M)]]], [(539 ^ 6) ^ [] : [-(modus_ponens)]]], [(4 ^ 5) ^ [strict_implies(804 ^ [], 805 ^ []), necessarily(implies(804 ^ [], 805 ^ []))] : [-(strict_implies(804 ^ [], 805 ^ []) = necessarily(implies(804 ^ [], 805 ^ []))), necessarily(implies(804 ^ [], 805 ^ [])) = strict_implies(804 ^ [], 805 ^ [])], [(922 ^ 6) ^ [] : [-(necessarily(implies(804 ^ [], 805 ^ [])) = strict_implies(804 ^ [], 805 ^ [])), 925 ^ 6 : [(926 ^ 6) ^ [805 ^ [], 804 ^ []] : []], op_strict_implies], [(954 ^ 7) ^ [] : [-(op_strict_implies)]]]]]]]
77.88/75.92	
77.88/75.92	% SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
77.98/75.92	EOF