0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command  : run_supr /export/starexec/sandbox2/benchmark/theBenchmark.p 180
0.12/0.36	% Computer : n002.cluster.edu
0.12/0.36	% Model    : x86_64 x86_64
0.12/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.36	% Memory   : 8046.5625MB
0.12/0.36	% OS       : Linux 6.8.0-71-generic
0.12/0.36	% CPULimit : 1440
0.12/0.36	% WCLimit  : 180
0.12/0.36	% DateTime : Mon Jul 27 09:47:43 UTC 2026
0.12/0.36	% CPUTime  : 
0.12/0.36	Running run_supr /export/starexec/sandbox2/benchmark/theBenchmark.p 180
51.96/18.22	% SZS status Theorem for problem
51.96/18.22	% SZS output start Proof for problem
51.96/18.22	fof(f1, conjecture,
51.96/18.22	  ((! [A] :
51.96/18.22	      (cCoq_2eInit_2eDatatypes_2enat___24t(A) => cUseAuto_2eP___24a1(A)))
51.96/18.22	  => p(cUseAuto_2emyFact)), file('problem')).
51.96/18.22	fof(f2, negated_conjecture,
51.96/18.22	  (~
51.96/18.22	    ((! [A] :
51.96/18.22	        (cCoq_2eInit_2eDatatypes_2enat___24t(A)
51.96/18.22	        => cUseAuto_2eP___24a1(A)))
51.96/18.22	    => p(cUseAuto_2emyFact))), inference(negate_conjecture, [status(cth)], [f1])).
51.96/18.22	fof(f3, plain,
51.96/18.22	  (! [V0] :
51.96/18.22	    ((~ cCoq_2eInit_2eDatatypes_2enat___24t(V0))
51.96/18.22	    | cUseAuto_2eP___24a1(V0))), inference(cnf_transformation, [status(esa)], [f2])).
51.96/18.22	fof(f4, plain, (~ p(cUseAuto_2emyFact)), inference(cnf_transformation, [status(esa)], [f2])).
51.96/18.22	fof(f5, axiom,
51.96/18.22	  ((! [V0__x] :
51.96/18.22	      (cCoq_2eInit_2eDatatypes_2enat___24t(V0__x)
51.96/18.22	      => (cCoq_2eInit_2ePeano_2ele___24a2(V0__x,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))))
51.96/18.22	        => cUseAuto_2eP___24a1(V0__x))))
51.96/18.22	  <=> p(cUseAuto_2emyFact)), file('problem')).
51.96/18.22	fof(f6, plain, cCoq_2eInit_2eDatatypes_2enat___24t(sk0), inference(resolve, [status(thm)], [f4,f5])).
51.96/18.22	fof(f7, plain, (~ cUseAuto_2eP___24a1(sk0)), inference(resolve, [status(thm)], [f4,f5])).
51.96/18.22	fof(f8, plain, $false, inference(resolve, [status(thm)], [f3,f6,f7])).
51.96/18.22	% SZS output end Proof for problem
52.06/18.31	
52.06/18.31	CASC summary: 1 / 1 solved
52.06/18.31	  Theorem               1 / 1
52.06/18.31	Total wall time: 17.93s
52.06/18.33	EOF