0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : nanocop_casc.sh %s %d
0.13/0.34	% Computer   : n004.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   : 180
0.13/0.34	% DateTime   : Thu Aug 29 09:07:53 EDT 2019
0.13/0.34	% CPUTime    : 
15.45/15.95	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
15.45/15.95	% SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
15.45/15.95	
15.45/15.95	- the following list represents a non-clausal connection proof
15.45/15.95	  (a tree in which each node is labelled with a nested clause)
15.45/15.95	- I^V is a skolem term f_I(V) for variable list V
15.45/15.95	- (I^K)^V:C is the (nested) clause C with index (I^K)^V, in which
15.45/15.95	  I is the unique index of C, K distinguishes different copies
15.45/15.95	  of C, and V is the list of (instantiated) variables in C
15.45/15.96	
15.45/15.96	[(956 ^ 0) ^ [] : [axiom_m4], [(828 ^ 1) ^ [] : [-(axiom_m4), is_a_theorem(strict_implies(829 ^ [], and(829 ^ [], 829 ^ [])))], [(20 ^ 2) ^ [strict_implies(829 ^ [], and(829 ^ [], 829 ^ [])), necessarily(implies(829 ^ [], and(829 ^ [], 829 ^ [])))] : [-(is_a_theorem(strict_implies(829 ^ [], and(829 ^ [], 829 ^ [])))), necessarily(implies(829 ^ [], and(829 ^ [], 829 ^ []))) = strict_implies(829 ^ [], and(829 ^ [], 829 ^ [])), is_a_theorem(necessarily(implies(829 ^ [], and(829 ^ [], 829 ^ []))))], [(10 ^ 3) ^ [strict_implies(829 ^ [], and(829 ^ [], 829 ^ [])), strict_implies(829 ^ [], and(829 ^ [], 829 ^ [])), necessarily(implies(829 ^ [], and(829 ^ [], 829 ^ [])))] : [-(necessarily(implies(829 ^ [], and(829 ^ [], 829 ^ []))) = strict_implies(829 ^ [], and(829 ^ [], 829 ^ []))), necessarily(implies(829 ^ [], and(829 ^ [], 829 ^ []))) = strict_implies(829 ^ [], and(829 ^ [], 829 ^ [])), strict_implies(829 ^ [], and(829 ^ [], 829 ^ [])) = strict_implies(829 ^ [], and(829 ^ [], 829 ^ []))], [(10 ^ 4) ^ [strict_implies(829 ^ [], and(829 ^ [], 829 ^ [])), strict_implies(829 ^ [], and(829 ^ [], 829 ^ [])), necessarily(implies(829 ^ [], and(829 ^ [], 829 ^ [])))] : [-(necessarily(implies(829 ^ [], and(829 ^ [], 829 ^ []))) = strict_implies(829 ^ [], and(829 ^ [], 829 ^ []))), necessarily(implies(829 ^ [], and(829 ^ [], 829 ^ []))) = strict_implies(829 ^ [], and(829 ^ [], 829 ^ [])), strict_implies(829 ^ [], and(829 ^ [], 829 ^ [])) = strict_implies(829 ^ [], and(829 ^ [], 829 ^ []))], [(922 ^ 5) ^ [] : [-(necessarily(implies(829 ^ [], and(829 ^ [], 829 ^ []))) = strict_implies(829 ^ [], and(829 ^ [], 829 ^ []))), 925 ^ 5 : [(926 ^ 5) ^ [and(829 ^ [], 829 ^ []), 829 ^ []] : []], op_strict_implies], [(950 ^ 6) ^ [] : [-(op_strict_implies)]]], [(2 ^ 5) ^ [strict_implies(829 ^ [], and(829 ^ [], 829 ^ []))] : [-(strict_implies(829 ^ [], and(829 ^ [], 829 ^ [])) = strict_implies(829 ^ [], and(829 ^ [], 829 ^ [])))]]], [(2 ^ 4) ^ [strict_implies(829 ^ [], and(829 ^ [], 829 ^ []))] : [-(strict_implies(829 ^ [], and(829 ^ [], 829 ^ [])) = strict_implies(829 ^ [], and(829 ^ [], 829 ^ [])))]]], [(701 ^ 3) ^ [] : [-(is_a_theorem(necessarily(implies(829 ^ [], and(829 ^ [], 829 ^ []))))), 704 ^ 3 : [(705 ^ 3) ^ [implies(829 ^ [], and(829 ^ [], 829 ^ []))] : [is_a_theorem(implies(829 ^ [], and(829 ^ [], 829 ^ [])))]], necessitation], [(230 ^ 6) ^ [] : [-(is_a_theorem(implies(829 ^ [], and(829 ^ [], 829 ^ [])))), 233 ^ 6 : [(234 ^ 6) ^ [implies(829 ^ [], and(829 ^ [], 829 ^ [])), implies(829 ^ [], implies(829 ^ [], and(829 ^ [], 829 ^ [])))] : [is_a_theorem(implies(829 ^ [], implies(829 ^ [], and(829 ^ [], 829 ^ [])))), is_a_theorem(implies(implies(829 ^ [], implies(829 ^ [], and(829 ^ [], 829 ^ []))), implies(829 ^ [], and(829 ^ [], 829 ^ []))))]], modus_ponens], [(116 ^ 9) ^ [] : [-(is_a_theorem(implies(829 ^ [], implies(829 ^ [], and(829 ^ [], 829 ^ []))))), 119 ^ 9 : [(120 ^ 9) ^ [829 ^ [], 829 ^ []] : []], and_3], [(531 ^ 10) ^ [] : [-(and_3)]]], [(352 ^ 9) ^ [] : [-(is_a_theorem(implies(implies(829 ^ [], implies(829 ^ [], and(829 ^ [], 829 ^ []))), implies(829 ^ [], and(829 ^ [], 829 ^ []))))), 355 ^ 9 : [(356 ^ 9) ^ [and(829 ^ [], 829 ^ []), 829 ^ []] : []], implies_2], [(547 ^ 10) ^ [] : [-(implies_2)]]], [(539 ^ 7) ^ [] : [-(modus_ponens)]]], [(940 ^ 4) ^ [] : [-(necessitation)]]]]]]
15.45/15.96	
15.45/15.97	% SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
15.45/15.97	EOF