0.09/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.09/0.13	% Command    : do_CVC4 %s %d
0.12/0.35	% Computer   : n006.cluster.edu
0.12/0.35	% Model      : x86_64 x86_64
0.12/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.35	% Memory     : 8042.1875MB
0.12/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.35	% CPULimit   : 960
0.12/0.35	% WCLimit    : 120
0.12/0.35	% DateTime   : Thu Jul  2 08:44:45 EDT 2020
0.12/0.35	% CPUTime    : 
0.18/0.52	%----Proving TH0
0.18/0.53	------- cvc4-thf casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960...
0.18/0.53	--- Run --uf-ho --ho-elim --no-ho-elim-store-ax --full-saturate-quant at 20...
1.27/1.48	% SZS status Theorem for theBenchmark
1.27/1.48	% SZS output start Proof for theBenchmark
1.27/1.48	(skolem (forall ((X_1 x_a)) (let ((_let_0 (ho_151 k_150 X_1))) (or (not (ho_126 _let_0 (ho_206 (ho_205 k_375 (ho_171 k_439 pn)) k_440))) (ho_126 _let_0 (ho_386 (ho_385 k_384 k_439) k_438)))) )
1.27/1.48	  ( skv_491 )
1.27/1.48	)
1.27/1.48	(skolem (forall ((M_1 nat)) (not (= (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) (ho_307 k_344 M_1))) )
1.27/1.48	  ( skv_492 )
1.27/1.48	)
1.27/1.48	(skolem (forall ((M_1 nat)) (not (forall ((X_1 nat)) (or (not (ho_118 (ho_117 k_116 X_1) (ho_180 k_351 k_350))) (ho_115 (ho_182 k_260 X_1) M_1)) )) )
1.27/1.48	  ( skv_493 )
1.27/1.48	)
1.27/1.48	(skolem (forall ((BOUND_VARIABLE_32825 |u_(-> pname Bool)|)) (or (not (ho_130 k_380 BOUND_VARIABLE_32825)) (not (= k_440 (ho_386 (ho_385 k_384 k_439) BOUND_VARIABLE_32825))) (not (ho_130 (ho_129 k_128 BOUND_VARIABLE_32825) k_438))) )
1.27/1.48	  ( skv_494 )
1.27/1.48	)
1.27/1.48	(skolem (forall ((BOUND_VARIABLE_29584 |u_(-> pname Bool)|)) (or (not (= k_440 (ho_386 (ho_385 k_384 k_439) BOUND_VARIABLE_29584))) (not (ho_130 (ho_129 k_128 BOUND_VARIABLE_29584) k_438))) )
1.27/1.48	  ( skv_495 )
1.27/1.48	)
1.27/1.48	(skolem (forall ((K_1 nat)) (not (= (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) (ho_307 (ho_346 k_345 (ho_307 k_344 na)) K_1))) )
1.27/1.48	  ( skv_496 )
1.27/1.48	)
1.27/1.48	(skolem (forall ((X_1 x_a)) (ho_349 (ho_348 k_347 (ho_123 (ho_206 (ho_205 k_375 (ho_171 k_439 pn)) k_440) X_1)) (ho_123 (ho_386 (ho_385 k_384 k_439) k_438) X_1)) )
1.27/1.48	  ( skv_497 )
1.27/1.48	)
1.27/1.48	(skolem (forall ((M_1 nat)) (not (forall ((X_1 nat)) (or (not (ho_118 (ho_117 k_116 X_1) (ho_180 k_351 k_350))) (ho_115 (ho_182 k_217 X_1) M_1)) )) )
1.27/1.48	  ( skv_498 )
1.27/1.48	)
1.27/1.48	(skolem (forall ((A_2 x_a) (BOUND_VARIABLE_27156 |u_(-> x_a Bool)|)) (let ((_let_0 (ho_151 k_150 A_2))) (or (not (ho_126 k_395 BOUND_VARIABLE_27156)) (not (ho_126 _let_0 (ho_386 (ho_385 k_384 k_439) k_438))) (ho_126 _let_0 BOUND_VARIABLE_27156) (ho_126 k_395 (ho_206 (ho_205 k_375 A_2) BOUND_VARIABLE_27156)))) )
1.27/1.48	  ( skv_499 skv_500 )
1.27/1.48	)
1.27/1.48	(skolem (forall ((I_1 nat)) (let ((_let_0 (ho_307 k_344 na))) (let ((_let_1 (ho_182 k_217 _let_0))) (or (not (ho_115 (ho_182 k_260 I_1) (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)))) (not (ho_115 _let_1 (ho_307 k_344 I_1))) (ho_115 _let_1 I_1)))) )
1.27/1.48	  ( skv_501 )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_23477 |u_(-> x_a Bool)|) (BOUND_VARIABLE_23480 |u_(-> x_a Bool)|)) (= (ho_126 (ho_125 k_127 BOUND_VARIABLE_23477) BOUND_VARIABLE_23480) (ho_126 (ho_125 k_124 BOUND_VARIABLE_23480) BOUND_VARIABLE_23477)) )
1.27/1.48	  ( (ho_386 (ho_385 k_384 k_439) k_438), k_440 )
1.27/1.48	  ( (ho_386 (ho_385 k_384 k_439) k_438), (ho_206 (ho_205 k_375 (ho_171 k_439 pn)) k_440) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_22903 nat) (BOUND_VARIABLE_22904 nat)) (= (ho_115 (ho_182 k_218 BOUND_VARIABLE_22903) BOUND_VARIABLE_22904) (ho_115 (ho_182 k_217 BOUND_VARIABLE_22904) BOUND_VARIABLE_22903)) )
1.27/1.48	  ( (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)), (ho_307 k_344 na) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_22702 nat) (BOUND_VARIABLE_22703 nat)) (= (ho_115 (ho_182 k_257 BOUND_VARIABLE_22702) BOUND_VARIABLE_22703) (ho_115 (ho_182 k_217 BOUND_VARIABLE_22703) BOUND_VARIABLE_22702)) )
1.27/1.48	  ( (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)), (ho_307 k_344 na) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_25294 |u_(-> nat nat)|) (BOUND_VARIABLE_22415 nat) (BOUND_VARIABLE_22416 nat)) (= (ho_115 (ho_182 (ho_309 k_308 BOUND_VARIABLE_25294) BOUND_VARIABLE_22415) BOUND_VARIABLE_22416) (ho_115 (ho_182 k_217 (ho_307 BOUND_VARIABLE_25294 BOUND_VARIABLE_22416)) BOUND_VARIABLE_22415)) )
1.27/1.48	  ( k_344, (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)), na )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((Y_4 Bool) (X_5 Bool)) (or (not (ho_349 (ho_348 k_347 Y_4) X_5)) (= (ho_349 (ho_348 k_347 X_5) Y_4) (= Y_4 X_5))) )
1.27/1.48	  ( BOOLEAN_TERM_VARIABLE_20190, BOOLEAN_TERM_VARIABLE_20188 )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_26040 |u_(-> x_a Bool)|) (BOUND_VARIABLE_26039 |u_(-> x_a Bool)|)) (or (not (ho_126 (ho_125 k_124 BOUND_VARIABLE_26040) BOUND_VARIABLE_26039)) (not (ho_126 (ho_125 k_124 BOUND_VARIABLE_26039) BOUND_VARIABLE_26040)) (= BOUND_VARIABLE_26039 BOUND_VARIABLE_26040)) )
1.27/1.48	  ( (ho_386 (ho_385 k_384 k_439) k_438), k_440 )
1.27/1.48	  ( k_440, (ho_386 (ho_385 k_384 k_439) k_438) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_26164 |u_(-> _u_(-> x_a Bool)_ Bool)|)) (= BOUND_VARIABLE_26164 (ho_141 k_363 BOUND_VARIABLE_26164)) )
1.27/1.48	  ( k_419 )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((M nat) (N nat)) (= (ho_115 (ho_182 k_217 (ho_307 k_344 N)) M) (not (ho_115 (ho_182 k_217 M) N))) )
1.27/1.48	  ( (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.27/1.48	  ( (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)), na )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((A_18 x_a) (BOUND_VARIABLE_26334 |u_(-> x_a Bool)|)) (not (= (ho_206 k_373 k_374) (ho_206 (ho_205 k_375 A_18) BOUND_VARIABLE_26334))) )
1.27/1.48	  ( (ho_171 k_439 pn), k_440 )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_26432 |u_(-> pname x_a)|)) (= (ho_206 k_373 k_374) (ho_386 (ho_385 k_384 BOUND_VARIABLE_26432) (ho_109 k_110 k_111))) )
1.27/1.48	  ( k_439 )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_26484 |u_(-> nat Bool)|)) (= (not (forall ((M_1 nat)) (not (forall ((X_1 nat)) (or (not (ho_118 (ho_117 k_116 X_1) BOUND_VARIABLE_26484)) (ho_115 (ho_182 k_260 X_1) M_1)) )) )) (ho_118 k_362 BOUND_VARIABLE_26484)) )
1.27/1.48	  ( (ho_180 k_351 k_350) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((I nat) (J_1 nat)) (not (ho_115 (ho_182 k_260 (ho_307 (ho_346 k_345 I) J_1)) I)) )
1.27/1.48	  ( (ho_307 k_344 na), (ho_307 (ho_346 k_379 (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438))) (ho_307 k_344 na)) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((M nat) (N nat)) (= (ho_115 (ho_182 k_217 (ho_307 k_344 M)) N) (ho_115 (ho_182 k_260 M) N)) )
1.27/1.48	  ( na, (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_26627 |u_(-> nat Bool)|)) (= (forall ((X_1 nat)) (not (ho_115 BOUND_VARIABLE_26627 X_1)) ) (= (ho_180 k_351 k_350) (ho_180 k_351 BOUND_VARIABLE_26627))) )
1.27/1.48	  ( k_350 )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((M nat) (N nat)) (= (ho_115 (ho_182 k_217 M) N) (or (ho_115 (ho_182 k_260 M) N) (= M N))) )
1.27/1.48	  ( (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_26756 |u_(-> x_a Bool)|) (BOUND_VARIABLE_26754 |u_(-> x_a Bool)|)) (or (not (ho_126 k_395 BOUND_VARIABLE_26754)) (not (ho_126 (ho_125 k_124 BOUND_VARIABLE_26756) BOUND_VARIABLE_26754)) (ho_115 (ho_182 k_217 (ho_334 k_393 BOUND_VARIABLE_26756)) (ho_334 k_393 BOUND_VARIABLE_26754))) )
1.27/1.48	  ( k_440, (ho_386 (ho_385 k_384 k_439) k_438) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((A_31 x_a)) (not (ho_126 (ho_151 k_150 A_31) (ho_206 k_373 k_374))) )
1.27/1.48	  ( (ho_171 k_439 pn) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_26996 |u_(-> nat Bool)|)) (or (not (ho_118 k_362 BOUND_VARIABLE_26996)) (ho_245 k_359 (ho_157 k_401 (ho_273 k_323 BOUND_VARIABLE_26996)))) )
1.27/1.48	  ( (ho_180 k_351 k_350) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((A_27 nat)) (or (not (ho_115 (ho_182 k_217 A_27) bot_bot_nat)) (= bot_bot_nat A_27)) )
1.27/1.48	  ( (ho_307 k_344 na) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_27154 |u_(-> _u_(-> x_a Bool)_ Bool)|) (BOUND_VARIABLE_27164 |u_(-> x_a Bool)|) (BOUND_VARIABLE_27153 |u_(-> x_a Bool)|)) (or (not (ho_126 k_395 BOUND_VARIABLE_27153)) (not (ho_126 (ho_125 k_124 BOUND_VARIABLE_27153) BOUND_VARIABLE_27164)) (not (ho_126 BOUND_VARIABLE_27154 (ho_206 k_373 k_374))) (not (forall ((A_2 x_a) (BOUND_VARIABLE_27156 |u_(-> x_a Bool)|)) (let ((_let_0 (ho_151 k_150 A_2))) (or (not (ho_126 k_395 BOUND_VARIABLE_27156)) (not (ho_126 _let_0 BOUND_VARIABLE_27164)) (ho_126 _let_0 BOUND_VARIABLE_27156) (not (ho_126 BOUND_VARIABLE_27154 BOUND_VARIABLE_27156)) (ho_126 BOUND_VARIABLE_27154 (ho_206 (ho_205 k_375 A_2) BOUND_VARIABLE_27156)))) )) (ho_126 BOUND_VARIABLE_27154 BOUND_VARIABLE_27153)) )
1.27/1.48	  ( k_395, (ho_386 (ho_385 k_384 k_439) k_438), k_440 )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_27206 |u_(-> _u_(-> nat Bool)_ Bool)|)) (or (not (ho_245 k_359 BOUND_VARIABLE_27206)) (ho_423 k_422 (ho_421 k_420 (ho_320 k_321 BOUND_VARIABLE_27206)))) )
1.27/1.48	  ( (ho_157 k_401 k_437) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((A_26 Bool)) (= (ho_349 (ho_348 k_347 A_26) bot_bot_o) (= bot_bot_o A_26)) )
1.27/1.48	  ( BOOLEAN_TERM_VARIABLE_20188 )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((M nat) (N nat)) (or (not (ho_115 (ho_182 k_217 M) N)) (= (ho_115 (ho_182 k_260 N) (ho_307 k_344 M)) (= M N))) )
1.27/1.48	  ( (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_27577 |u_(-> _u_(-> pname Bool)_ Bool)|)) (= BOUND_VARIABLE_27577 (ho_174 k_428 BOUND_VARIABLE_27577)) )
1.27/1.48	  ( k_436 )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((X_22 pname) (BOUND_VARIABLE_27598 |u_(-> pname Bool)|)) (= (ho_106 BOUND_VARIABLE_27598 X_22) (ho_130 (ho_133 k_132 X_22) BOUND_VARIABLE_27598)) )
1.27/1.48	  ( pn, k_438 )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_27617 |u_(-> _u_(-> x_a Bool)_ Bool)|)) (or (not (ho_138 k_367 BOUND_VARIABLE_27617)) (ho_432 k_431 (ho_430 k_429 (ho_299 k_300 BOUND_VARIABLE_27617)))) )
1.27/1.48	  ( (ho_141 k_363 k_419) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((Nat_1 nat)) (not (= bot_bot_nat (ho_307 k_344 Nat_1))) )
1.27/1.48	  ( na )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_27757 |u_(-> x_a Bool)|) (BOUND_VARIABLE_27758 |u_(-> x_a Bool)|)) (or (not (forall ((X_1 x_a)) (let ((_let_0 (ho_151 k_150 X_1))) (or (not (ho_126 _let_0 BOUND_VARIABLE_27758)) (ho_126 _let_0 BOUND_VARIABLE_27757))) )) (ho_126 (ho_125 k_124 BOUND_VARIABLE_27758) BOUND_VARIABLE_27757)) )
1.27/1.48	  ( (ho_386 (ho_385 k_384 k_439) k_438), (ho_206 (ho_205 k_375 (ho_171 k_439 pn)) k_440) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((N nat)) (ho_115 (ho_182 k_260 bot_bot_nat) (ho_307 k_344 N)) )
1.27/1.48	  ( na )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_27778 |u_(-> x_a Bool)|)) (ho_126 (ho_125 k_124 BOUND_VARIABLE_27778) BOUND_VARIABLE_27778) )
1.27/1.48	  ( k_440 )
1.27/1.48	  ( (ho_206 (ho_205 k_375 (ho_171 k_439 pn)) k_440) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((X_22 x_a) (BOUND_VARIABLE_27796 |u_(-> x_a Bool)|)) (= (ho_123 BOUND_VARIABLE_27796 X_22) (ho_126 (ho_151 k_150 X_22) BOUND_VARIABLE_27796)) )
1.27/1.48	  ( (ho_171 k_439 pn), k_440 )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((N nat)) (ho_115 (ho_182 k_260 N) (ho_307 k_344 N)) )
1.27/1.48	  ( na )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((N nat) (M nat)) (or (not (ho_115 (ho_182 k_217 N) M)) (= M (ho_307 (ho_346 k_345 (ho_307 (ho_346 k_379 M) N)) N))) )
1.27/1.48	  ( (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_28051 |u_(-> nat Bool)|)) (= BOUND_VARIABLE_28051 (ho_180 k_351 BOUND_VARIABLE_28051)) )
1.27/1.48	  ( k_350 )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((M nat) (N nat)) (or (not (ho_115 (ho_182 k_217 (ho_307 k_344 M)) N)) (ho_115 (ho_182 k_260 M) N)) )
1.27/1.48	  ( na, (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_28147 |u_(-> pname x_a)|) (BOUND_VARIABLE_28146 |u_(-> pname Bool)|)) (= (= (ho_109 k_110 k_111) BOUND_VARIABLE_28146) (= (ho_206 k_373 k_374) (ho_386 (ho_385 k_384 BOUND_VARIABLE_28147) BOUND_VARIABLE_28146))) )
1.27/1.48	  ( k_439, k_438 )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((M nat)) (= bot_bot_nat (ho_307 (ho_346 k_379 M) M)) )
1.27/1.48	  ( (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((M nat) (N nat)) (or (not (ho_115 (ho_182 k_217 (ho_307 k_344 M)) N)) (ho_115 (ho_182 k_217 M) N)) )
1.27/1.48	  ( na, (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_28268 |u_(-> nat Bool)|) (BOUND_VARIABLE_15614 nat)) (or (not (ho_115 BOUND_VARIABLE_28268 BOUND_VARIABLE_15614)) (= (ho_180 k_351 (ho_180 (ho_179 k_284 BOUND_VARIABLE_15614) BOUND_VARIABLE_28268)) (ho_180 (ho_179 k_355 BOUND_VARIABLE_15614) (ho_180 k_351 k_350)))) )
1.27/1.48	  ( (ho_182 k_217 (ho_307 k_344 na)), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((M nat) (N nat)) (or (not (ho_115 (ho_182 k_217 M) N)) (not (ho_115 (ho_182 k_217 N) M)) (= M N)) )
1.27/1.48	  ( (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.27/1.48	  ( (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)), (ho_307 k_344 na) )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_15771 x_a) (BOUND_VARIABLE_28409 |u_(-> x_a Bool)|)) (ho_126 (ho_151 k_150 BOUND_VARIABLE_15771) (ho_206 (ho_205 k_375 BOUND_VARIABLE_15771) BOUND_VARIABLE_28409)) )
1.27/1.48	  ( (ho_171 k_439 pn), k_440 )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_28550 |u_(-> pname x_a)|) (BOUND_VARIABLE_28549 |u_(-> pname Bool)|)) (or (not (ho_130 k_380 BOUND_VARIABLE_28549)) (ho_126 k_395 (ho_386 (ho_385 k_384 BOUND_VARIABLE_28550) BOUND_VARIABLE_28549))) )
1.27/1.48	  ( k_439, k_438 )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((BOUND_VARIABLE_28828 |u_(-> _u_(-> pname Bool)_ Bool)|) (BOUND_VARIABLE_28829 |u_(-> pname Bool)|)) (or (not (ho_130 BOUND_VARIABLE_28828 BOUND_VARIABLE_28829)) (= (ho_174 k_428 (ho_174 (ho_173 k_275 BOUND_VARIABLE_28829) BOUND_VARIABLE_28828)) (ho_174 (ho_173 k_360 BOUND_VARIABLE_28829) (ho_174 k_428 k_436)))) )
1.27/1.48	  ( k_380, (ho_109 k_110 k_111) )
1.27/1.48	  ( k_380, k_438 )
1.27/1.48	  ( (ho_133 k_132 pn), k_438 )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((M nat) (N nat)) (let ((_let_0 (ho_346 k_379 M))) (= (ho_307 (ho_346 k_379 (ho_307 _let_0 (ho_307 k_344 bot_bot_nat))) N) (ho_307 _let_0 (ho_307 k_344 N)))) )
1.27/1.48	  ( (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)), na )
1.27/1.48	)
1.27/1.48	(instantiation (forall ((N nat) (M nat)) (or (not (ho_115 (ho_182 k_217 N) M)) (= M (ho_307 (ho_346 k_345 N) (ho_307 (ho_346 k_379 M) N)))) )
1.27/1.48	  ( (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.27/1.48	)
1.27/1.49	(instantiation (forall ((BOUND_VARIABLE_29064 |u_(-> pname Bool)|)) (= (= (ho_109 k_110 k_111) (ho_109 k_110 BOUND_VARIABLE_29064)) (forall ((X_1 pname)) (not (ho_106 BOUND_VARIABLE_29064 X_1)) )) )
1.27/1.49	  ( k_111 )
1.27/1.49	)
1.27/1.49	(instantiation (forall ((Pn pname) (BOUND_VARIABLE_29080 |u_(-> x_a Bool)|)) (let ((_let_0 (ho_206 k_373 k_374))) (let ((_let_1 (ho_171 k_439 Pn))) (let ((_let_2 (ho_205 k_375 _let_1))) (or (not (ho_126 (ho_125 k_459 (ho_206 _let_2 BOUND_VARIABLE_29080)) (ho_206 (ho_205 k_375 (ho_465 k_464 (ho_463 k_462 (ho_461 k_460 Pn)))) _let_0))) (ho_126 (ho_125 k_459 BOUND_VARIABLE_29080) (ho_206 _let_2 _let_0)))))) )
1.27/1.49	  ( pn, k_440 )
1.27/1.49	)
1.27/1.49	(instantiation (forall ((BOUND_VARIABLE_29247 |u_(-> x_a Bool)|) (BOUND_VARIABLE_29250 |u_(-> pname x_a)|) (BOUND_VARIABLE_29249 |u_(-> pname Bool)|)) (or (not (ho_130 k_380 BOUND_VARIABLE_29249)) (not (ho_126 (ho_125 k_124 BOUND_VARIABLE_29247) (ho_386 (ho_385 k_384 BOUND_VARIABLE_29250) BOUND_VARIABLE_29249))) (ho_126 k_395 BOUND_VARIABLE_29247)) )
1.27/1.49	  ( k_440, k_439, k_438 )
1.27/1.49	)
1.27/1.49	(instantiation (forall ((X_1 nat)) (= (ho_182 k_217 (ho_307 k_344 X_1)) (ho_182 k_260 X_1)) )
1.27/1.49	  ( na )
1.27/1.49	)
1.27/1.49	(instantiation (forall ((N nat)) (= (ho_307 (ho_346 k_345 (ho_307 k_344 bot_bot_nat)) N) (ho_307 k_344 N)) )
1.27/1.49	  ( na )
1.27/1.49	)
1.27/1.49	(instantiation (forall ((BOUND_VARIABLE_29403 |u_(-> _u_(-> nat Bool)_ Bool)|)) (= (= (ho_157 k_401 k_437) (ho_157 k_401 BOUND_VARIABLE_29403)) (forall ((BOUND_VARIABLE_29402 |u_(-> nat Bool)|)) (not (ho_118 BOUND_VARIABLE_29403 BOUND_VARIABLE_29402)) )) )
1.27/1.49	  ( k_437 )
1.27/1.49	)
1.27/1.49	(instantiation (forall ((M nat) (N nat)) (or (not (ho_115 (ho_182 k_217 M) N)) (= bot_bot_nat (ho_307 (ho_346 k_379 M) N))) )
1.27/1.49	  ( (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.29/1.49	  ( (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)), (ho_307 k_344 na) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((N nat)) (= (ho_269 k_378 (ho_180 k_351 (ho_182 k_257 N))) (ho_307 k_344 N)) )
1.29/1.49	  ( na )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_29522 |u_(-> pname x_a)|) (X_20 pname) (BOUND_VARIABLE_29521 |u_(-> pname Bool)|)) (or (not (ho_130 (ho_133 k_132 X_20) BOUND_VARIABLE_29521)) (ho_126 (ho_151 k_150 (ho_171 BOUND_VARIABLE_29522 X_20)) (ho_386 (ho_385 k_384 BOUND_VARIABLE_29522) BOUND_VARIABLE_29521))) )
1.29/1.49	  ( k_439, pn, k_438 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((N nat)) (not (= N (ho_307 k_344 N))) )
1.29/1.49	  ( na )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((N nat) (M_2 nat)) (or (not (ho_115 (ho_182 k_217 (ho_307 k_344 N)) M_2)) (not (forall ((M_1 nat)) (not (= M_2 (ho_307 k_344 M_1))) ))) )
1.29/1.49	  ( na, (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_29581 |u_(-> x_a Bool)|) (BOUND_VARIABLE_29578 |u_(-> pname x_a)|) (BOUND_VARIABLE_29577 |u_(-> pname Bool)|)) (= (not (forall ((BOUND_VARIABLE_29584 |u_(-> pname Bool)|)) (or (not (= BOUND_VARIABLE_29581 (ho_386 (ho_385 k_384 BOUND_VARIABLE_29578) BOUND_VARIABLE_29584))) (not (ho_130 (ho_129 k_128 BOUND_VARIABLE_29584) BOUND_VARIABLE_29577))) )) (ho_126 (ho_125 k_124 BOUND_VARIABLE_29581) (ho_386 (ho_385 k_384 BOUND_VARIABLE_29578) BOUND_VARIABLE_29577))) )
1.29/1.49	  ( k_440, k_439, k_438 )
1.29/1.49	  ( (ho_206 (ho_205 k_375 (ho_171 k_439 pn)) k_440), k_439, k_438 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((N nat)) (not (ho_115 (ho_182 k_217 (ho_307 k_344 N)) N)) )
1.29/1.49	  ( na )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((A_22 x_a) (B_6 x_a) (C_7 x_a) (D x_a)) (let ((_let_0 (ho_206 k_373 k_374))) (= (or (and (= B_6 C_7) (= A_22 D)) (and (= B_6 D) (= A_22 C_7))) (= (ho_206 (ho_205 k_375 A_22) (ho_206 (ho_205 k_375 B_6) _let_0)) (ho_206 (ho_205 k_375 C_7) (ho_206 (ho_205 k_375 D) _let_0))))) )
1.29/1.49	  ( (ho_171 k_439 pn), (ho_171 k_439 pn), (ho_171 k_439 pn), (ho_171 k_439 pn) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((A_69 x_a) (BOUND_VARIABLE_29916 |u_(-> x_a Bool)|)) (= (ho_206 k_373 (ho_206 (ho_205 k_255 A_69) BOUND_VARIABLE_29916)) (ho_206 (ho_205 k_375 A_69) BOUND_VARIABLE_29916)) )
1.29/1.49	  ( (ho_171 k_439 pn), k_440 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_29927 |u_(-> _u_(-> nat Bool)_ Bool)|) (BOUND_VARIABLE_29928 |u_(-> nat Bool)|)) (or (not (ho_118 BOUND_VARIABLE_29927 BOUND_VARIABLE_29928)) (= (ho_157 k_401 (ho_157 (ho_156 k_254 BOUND_VARIABLE_29928) BOUND_VARIABLE_29927)) (ho_157 (ho_156 k_356 BOUND_VARIABLE_29928) (ho_157 k_401 k_437)))) )
1.29/1.49	  ( k_362, (ho_180 k_351 k_350) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((X_31 x_a) (BOUND_VARIABLE_29957 |u_(-> x_a Bool)|)) (or (not (ho_126 k_395 BOUND_VARIABLE_29957)) (ho_126 (ho_151 k_150 X_31) BOUND_VARIABLE_29957) (= (ho_334 k_393 (ho_206 (ho_205 k_375 X_31) BOUND_VARIABLE_29957)) (ho_307 k_344 (ho_334 k_393 BOUND_VARIABLE_29957)))) )
1.29/1.49	  ( (ho_171 k_439 pn), k_440 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((M nat) (N nat)) (= (ho_115 (ho_182 k_260 M) N) (and (ho_115 (ho_182 k_217 M) N) (not (= M N)))) )
1.29/1.49	  ( (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_30108 |u_(-> x_a Bool)|) (BOUND_VARIABLE_30107 |u_(-> x_a Bool)|)) (= (and (ho_126 (ho_125 k_124 BOUND_VARIABLE_30107) BOUND_VARIABLE_30108) (ho_126 (ho_125 k_124 BOUND_VARIABLE_30108) BOUND_VARIABLE_30107)) (= BOUND_VARIABLE_30107 BOUND_VARIABLE_30108)) )
1.29/1.49	  ( (ho_386 (ho_385 k_384 k_439) k_438), k_440 )
1.29/1.49	  ( (ho_386 (ho_385 k_384 k_439) k_438), (ho_206 (ho_205 k_375 (ho_171 k_439 pn)) k_440) )
1.29/1.49	  ( k_440, (ho_386 (ho_385 k_384 k_439) k_438) )
1.29/1.49	  ( (ho_206 (ho_205 k_375 (ho_171 k_439 pn)) k_440), (ho_386 (ho_385 k_384 k_439) k_438) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_30121 |u_(-> x_a Bool)|)) (= (forall ((X_1 x_a)) (not (ho_123 BOUND_VARIABLE_30121 X_1)) ) (= (ho_206 k_373 k_374) (ho_206 k_373 BOUND_VARIABLE_30121))) )
1.29/1.49	  ( k_374 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((Y_4 nat) (X_5 nat)) (or (not (ho_115 (ho_182 k_217 Y_4) X_5)) (= (ho_115 (ho_182 k_217 X_5) Y_4) (= Y_4 X_5))) )
1.29/1.49	  ( (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.29/1.49	  ( (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)), (ho_307 k_344 na) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_30211 |u_(-> nat Bool)|) (I nat) (J_1 nat)) (or (not (ho_115 (ho_182 k_217 I) J_1)) (not (ho_115 BOUND_VARIABLE_30211 J_1)) (not (forall ((I_1 nat)) (or (not (ho_115 (ho_182 k_260 I_1) J_1)) (not (ho_115 BOUND_VARIABLE_30211 (ho_307 k_344 I_1))) (ho_115 BOUND_VARIABLE_30211 I_1)) )) (ho_115 BOUND_VARIABLE_30211 I)) )
1.29/1.49	  ( (ho_182 k_217 (ho_307 k_344 na)), (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((M nat) (N nat)) (or (not (ho_115 (ho_182 k_217 M) N)) (ho_115 (ho_182 k_260 M) (ho_307 k_344 N))) )
1.29/1.49	  ( (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((A_91 x_a) (BOUND_VARIABLE_30272 |u_(-> x_a Bool)|)) (or (not (ho_126 k_395 BOUND_VARIABLE_30272)) (ho_126 k_395 (ho_206 (ho_205 k_375 A_91) BOUND_VARIABLE_30272))) )
1.29/1.49	  ( (ho_171 k_439 pn), k_440 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_30353 |u_(-> x_a Bool)|) (A_45 x_a)) (ho_126 (ho_125 k_124 BOUND_VARIABLE_30353) (ho_206 (ho_205 k_375 A_45) BOUND_VARIABLE_30353)) )
1.29/1.49	  ( k_440, (ho_171 k_439 pn) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((I nat) (N nat)) (let ((_let_0 (ho_346 k_379 N))) (or (not (ho_115 (ho_182 k_217 I) N)) (= I (ho_307 _let_0 (ho_307 _let_0 I))))) )
1.29/1.49	  ( (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((A_33 pname)) (not (ho_130 (ho_133 k_132 A_33) (ho_109 k_110 k_111))) )
1.29/1.49	  ( pn )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((Pn pname)) (or (not (ho_130 (ho_133 k_132 Pn) k_438)) (ho_472 k_471 (ho_463 k_462 (ho_461 k_460 Pn)))) )
1.29/1.49	  ( pn )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((Y_3 Bool)) (ho_349 (ho_348 k_347 Y_3) Y_3) )
1.29/1.49	  ( BOOLEAN_TERM_VARIABLE_20188 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_30615 |u_(-> x_a Bool)|) (BOUND_VARIABLE_30614 |u_(-> x_a Bool)|)) (or (not (ho_126 k_395 BOUND_VARIABLE_30614)) (not (ho_126 (ho_125 k_124 BOUND_VARIABLE_30615) BOUND_VARIABLE_30614)) (not (ho_115 (ho_182 k_217 (ho_334 k_393 BOUND_VARIABLE_30614)) (ho_334 k_393 BOUND_VARIABLE_30615))) (= BOUND_VARIABLE_30614 BOUND_VARIABLE_30615)) )
1.29/1.49	  ( k_440, (ho_386 (ho_385 k_384 k_439) k_438) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_16876 nat)) (ho_115 (ho_182 k_217 BOUND_VARIABLE_16876) BOUND_VARIABLE_16876) )
1.29/1.49	  ( (ho_307 k_344 na) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_30676 |u_(-> _u_(-> x_a Bool)_ Bool)|) (BOUND_VARIABLE_30677 |u_(-> x_a Bool)|)) (or (ho_126 BOUND_VARIABLE_30676 BOUND_VARIABLE_30677) (= (ho_141 k_363 k_419) (ho_141 k_363 (ho_141 (ho_140 k_240 BOUND_VARIABLE_30677) BOUND_VARIABLE_30676)))) )
1.29/1.49	  ( (ho_125 k_124 (ho_206 (ho_205 k_375 (ho_171 k_439 pn)) k_440)), (ho_386 (ho_385 k_384 k_439) k_438) )
1.29/1.49	  ( (ho_151 k_150 (ho_171 k_439 pn)), k_440 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_30687 |u_(-> _u_(-> x_a Bool)_ Bool)|) (BOUND_VARIABLE_30688 |u_(-> x_a Bool)|)) (or (not (ho_126 BOUND_VARIABLE_30687 BOUND_VARIABLE_30688)) (= (ho_141 k_363 (ho_141 (ho_140 k_239 BOUND_VARIABLE_30688) BOUND_VARIABLE_30687)) (ho_141 (ho_140 k_368 BOUND_VARIABLE_30688) (ho_141 k_363 k_419)))) )
1.29/1.49	  ( k_395, (ho_206 k_373 k_374) )
1.29/1.49	  ( (ho_125 k_124 k_440), (ho_386 (ho_385 k_384 k_439) k_438) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_30714 |u_(-> x_a Bool)|)) (let ((_let_0 (ho_206 k_373 k_374))) (= (= _let_0 BOUND_VARIABLE_30714) (ho_126 (ho_125 k_124 BOUND_VARIABLE_30714) _let_0))) )
1.29/1.49	  ( k_440 )
1.29/1.49	  ( (ho_206 (ho_205 k_375 (ho_171 k_439 pn)) k_440) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((X_32 pname) (BOUND_VARIABLE_30743 |u_(-> pname Bool)|)) (let ((_let_0 (ho_108 k_112 X_32))) (let ((_let_1 (ho_109 _let_0 BOUND_VARIABLE_30743))) (let ((_let_2 (ho_265 k_394 _let_1))) (let ((_let_3 (ho_265 k_394 BOUND_VARIABLE_30743))) (let ((_let_4 (ho_133 k_132 X_32))) (let ((_let_5 (ho_130 _let_4 BOUND_VARIABLE_30743))) (or (not (ho_130 k_380 BOUND_VARIABLE_30743)) (and (or (not _let_5) (= _let_2 _let_3)) (or _let_5 (= _let_2 (ho_307 k_344 _let_3))))))))))) )
1.29/1.49	  ( pn, k_438 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((M nat) (N nat)) (or (ho_115 (ho_182 k_260 M) N) (= M (ho_307 (ho_346 k_345 N) (ho_307 (ho_346 k_379 M) N)))) )
1.29/1.49	  ( (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)), (ho_307 k_344 na) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_30886 |u_(-> _u_(-> x_a Bool)_ Bool)|) (BOUND_VARIABLE_30887 |u_(-> x_a Bool)|)) (or (ho_126 BOUND_VARIABLE_30886 BOUND_VARIABLE_30887) (= (ho_141 k_363 k_419) (ho_141 k_363 (ho_141 (ho_140 k_236 BOUND_VARIABLE_30887) BOUND_VARIABLE_30886)))) )
1.29/1.49	  ( (ho_125 k_124 (ho_206 (ho_205 k_375 (ho_171 k_439 pn)) k_440)), (ho_386 (ho_385 k_384 k_439) k_438) )
1.29/1.49	  ( (ho_151 k_150 (ho_171 k_439 pn)), k_440 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_30897 |u_(-> _u_(-> x_a Bool)_ Bool)|) (BOUND_VARIABLE_30898 |u_(-> x_a Bool)|)) (or (not (ho_126 BOUND_VARIABLE_30897 BOUND_VARIABLE_30898)) (= (ho_141 k_363 (ho_141 (ho_140 k_235 BOUND_VARIABLE_30898) BOUND_VARIABLE_30897)) (ho_141 (ho_140 k_368 BOUND_VARIABLE_30898) (ho_141 k_363 k_419)))) )
1.29/1.49	  ( k_395, (ho_206 k_373 k_374) )
1.29/1.49	  ( (ho_125 k_124 k_440), (ho_386 (ho_385 k_384 k_439) k_438) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_30942 |u_(-> x_a Bool)|) (BOUND_VARIABLE_30943 |u_(-> x_a Bool)|)) (or (not (ho_126 (ho_125 k_124 BOUND_VARIABLE_30942) BOUND_VARIABLE_30943)) (ho_126 (ho_125 k_459 BOUND_VARIABLE_30943) BOUND_VARIABLE_30942)) )
1.29/1.49	  ( k_440, (ho_386 (ho_385 k_384 k_439) k_438) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((N nat)) (= (= bot_bot_nat N) (ho_115 (ho_182 k_217 N) bot_bot_nat)) )
1.29/1.49	  ( (ho_307 k_344 na) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((X_22 nat) (BOUND_VARIABLE_31135 |u_(-> nat Bool)|)) (= (ho_115 BOUND_VARIABLE_31135 X_22) (ho_118 (ho_117 k_116 X_22) BOUND_VARIABLE_31135)) )
1.29/1.49	  ( (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)), (ho_182 k_217 (ho_307 k_344 na)) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_31142 |u_(-> x_a Bool)|) (BOUND_VARIABLE_31143 |u_(-> x_a Bool)|)) (or (not (ho_126 (ho_125 k_124 BOUND_VARIABLE_31142) BOUND_VARIABLE_31143)) (= (= BOUND_VARIABLE_31142 BOUND_VARIABLE_31143) (ho_126 (ho_125 k_124 BOUND_VARIABLE_31143) BOUND_VARIABLE_31142))) )
1.29/1.49	  ( (ho_386 (ho_385 k_384 k_439) k_438), k_440 )
1.29/1.49	  ( (ho_386 (ho_385 k_384 k_439) k_438), (ho_206 (ho_205 k_375 (ho_171 k_439 pn)) k_440) )
1.29/1.49	  ( k_440, (ho_386 (ho_385 k_384 k_439) k_438) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((A_10 x_a)) (= (ho_206 (ho_205 k_375 A_10) (ho_206 k_373 k_374)) (ho_206 k_373 (ho_148 k_473 A_10))) )
1.29/1.49	  ( (ho_171 k_439 pn) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((N nat)) (= N (ho_307 (ho_346 k_379 (ho_307 k_344 N)) (ho_307 k_344 bot_bot_nat))) )
1.29/1.49	  ( na )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_31400 |u_(-> _u_(-> pname Bool)_ Bool)|)) (= (forall ((BOUND_VARIABLE_31403 |u_(-> pname Bool)|)) (not (ho_130 BOUND_VARIABLE_31400 BOUND_VARIABLE_31403)) ) (= (ho_174 k_428 k_436) (ho_174 k_428 BOUND_VARIABLE_31400))) )
1.29/1.49	  ( k_436 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((M nat)) (= M (ho_307 (ho_346 k_379 M) bot_bot_nat)) )
1.29/1.49	  ( (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((X_33 x_a) (BOUND_VARIABLE_31600 |u_(-> x_a Bool)|)) (or (not (ho_126 k_395 BOUND_VARIABLE_31600)) (ho_115 (ho_182 k_217 (ho_334 k_393 BOUND_VARIABLE_31600)) (ho_334 k_393 (ho_206 (ho_205 k_375 X_33) BOUND_VARIABLE_31600)))) )
1.29/1.49	  ( (ho_171 k_439 pn), k_440 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((A_60 pname) (BOUND_VARIABLE_31627 |u_(-> pname Bool)|)) (or (not (ho_130 (ho_133 k_132 A_60) BOUND_VARIABLE_31627)) (= BOUND_VARIABLE_31627 (ho_109 (ho_108 k_112 A_60) BOUND_VARIABLE_31627))) )
1.29/1.49	  ( pn, k_438 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((M nat) (N nat)) (= (ho_115 (ho_182 k_217 M) N) (not (forall ((K_1 nat)) (not (= N (ho_307 (ho_346 k_345 M) K_1))) ))) )
1.29/1.49	  ( (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_31850 |u_(-> _u_(-> nat Bool)_ Bool)|) (BOUND_VARIABLE_31851 |u_(-> nat Bool)|)) (or (not (ho_118 BOUND_VARIABLE_31850 BOUND_VARIABLE_31851)) (= (ho_157 k_401 (ho_157 (ho_156 k_210 BOUND_VARIABLE_31851) BOUND_VARIABLE_31850)) (ho_157 (ho_156 k_356 BOUND_VARIABLE_31851) (ho_157 k_401 k_437)))) )
1.29/1.49	  ( k_362, (ho_180 k_351 k_350) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((M nat) (N nat)) (or (not (= bot_bot_nat (ho_307 (ho_346 k_379 M) N))) (not (= bot_bot_nat (ho_307 (ho_346 k_379 N) M))) (= M N)) )
1.29/1.49	  ( (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.29/1.49	  ( (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)), (ho_307 k_344 na) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_31899 |u_(-> pname x_a)|) (BOUND_VARIABLE_31897 |u_(-> pname Bool)|)) (or (not (ho_130 k_380 BOUND_VARIABLE_31897)) (ho_115 (ho_182 k_217 (ho_334 k_393 (ho_386 (ho_385 k_384 BOUND_VARIABLE_31899) BOUND_VARIABLE_31897))) (ho_265 k_394 BOUND_VARIABLE_31897))) )
1.29/1.49	  ( k_439, k_438 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((M nat) (N nat)) (ho_115 (ho_182 k_217 (ho_307 (ho_346 k_379 M) N)) M) )
1.29/1.49	  ( (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)), (ho_307 k_344 na) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((X_1 x_a) (BOUND_VARIABLE_32038 |u_(-> x_a Bool)|)) (= (ho_206 k_373 (ho_206 (ho_205 k_204 X_1) BOUND_VARIABLE_32038)) (ho_206 (ho_205 k_375 X_1) BOUND_VARIABLE_32038)) )
1.29/1.49	  ( (ho_171 k_439 pn), k_440 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_32049 |u_(-> x_a Bool)|)) (= BOUND_VARIABLE_32049 (ho_206 k_373 BOUND_VARIABLE_32049)) )
1.29/1.49	  ( k_374 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_32460 |u_(-> _u_(-> pname Bool)_ Bool)|)) (or (not (ho_202 k_361 BOUND_VARIABLE_32460)) (ho_482 k_481 (ho_480 k_479 (ho_201 k_203 BOUND_VARIABLE_32460)))) )
1.29/1.49	  ( (ho_174 k_428 k_436) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((M nat) (N nat)) (= (ho_115 (ho_180 (ho_484 k_483 false) (ho_182 k_217 M)) N) (ho_115 (ho_182 k_217 (ho_307 k_344 M)) N)) )
1.29/1.49	  ( na, (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((M nat) (N nat)) (= (ho_115 (ho_182 k_260 M) (ho_307 k_344 N)) (ho_115 (ho_182 k_217 M) N)) )
1.29/1.49	  ( (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_32829 |u_(-> pname x_a)|) (BOUND_VARIABLE_32824 |u_(-> pname Bool)|) (BOUND_VARIABLE_32832 |u_(-> x_a Bool)|)) (or (not (ho_126 k_395 BOUND_VARIABLE_32832)) (not (ho_126 (ho_125 k_124 BOUND_VARIABLE_32832) (ho_386 (ho_385 k_384 BOUND_VARIABLE_32829) BOUND_VARIABLE_32824))) (not (forall ((BOUND_VARIABLE_32825 |u_(-> pname Bool)|)) (or (not (ho_130 k_380 BOUND_VARIABLE_32825)) (not (= (ho_386 (ho_385 k_384 BOUND_VARIABLE_32829) BOUND_VARIABLE_32825) BOUND_VARIABLE_32832)) (not (ho_130 (ho_129 k_128 BOUND_VARIABLE_32825) BOUND_VARIABLE_32824))) ))) )
1.29/1.49	  ( k_439, k_438, k_440 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((Y_2 Bool) (X_3 Bool)) (= (= Y_2 X_3) (and (ho_349 (ho_348 k_347 Y_2) X_3) (ho_349 (ho_348 k_347 X_3) Y_2))) )
1.29/1.49	  ( BOOLEAN_TERM_VARIABLE_20188, BOOLEAN_TERM_VARIABLE_20190 )
1.29/1.49	  ( BOOLEAN_TERM_VARIABLE_20190, BOOLEAN_TERM_VARIABLE_20188 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((M nat) (N nat)) (or (not (ho_115 (ho_182 k_217 M) N)) (= M N) (ho_115 (ho_182 k_260 M) N)) )
1.29/1.49	  ( (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_33041 |u_(-> x_a Bool)|)) (let ((_let_0 (ho_206 k_373 k_374))) (or (not (ho_126 (ho_125 k_124 BOUND_VARIABLE_33041) _let_0)) (= _let_0 BOUND_VARIABLE_33041))) )
1.29/1.49	  ( k_440 )
1.29/1.49	  ( (ho_206 (ho_205 k_375 (ho_171 k_439 pn)) k_440) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((A_83 x_a) (BOUND_VARIABLE_33080 |u_(-> x_a Bool)|)) (= (ho_126 k_395 BOUND_VARIABLE_33080) (ho_126 k_395 (ho_206 (ho_205 k_375 A_83) BOUND_VARIABLE_33080))) )
1.29/1.49	  ( (ho_171 k_439 pn), k_440 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((Y_7 Bool)) (or (not (ho_349 (ho_348 k_347 Y_7) (not Y_7))) (not (ho_349 (ho_348 k_347 (not Y_7)) Y_7))) )
1.29/1.49	  ( BOOLEAN_TERM_VARIABLE_20188 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((X_19 x_a) (BOUND_VARIABLE_33353 |u_(-> x_a Bool)|) (BOUND_VARIABLE_33352 |u_(-> x_a Bool)|)) (= (ho_126 (ho_125 k_124 (ho_206 (ho_205 k_375 X_19) BOUND_VARIABLE_33353)) BOUND_VARIABLE_33352) (and (ho_126 (ho_151 k_150 X_19) BOUND_VARIABLE_33352) (ho_126 (ho_125 k_124 BOUND_VARIABLE_33353) BOUND_VARIABLE_33352))) )
1.29/1.49	  ( (ho_171 k_439 pn), k_440, (ho_386 (ho_385 k_384 k_439) k_438) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((X_3 nat) (Y_2 nat)) (= (and (ho_115 (ho_182 k_217 X_3) Y_2) (ho_115 (ho_182 k_217 Y_2) X_3)) (= X_3 Y_2)) )
1.29/1.49	  ( (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.29/1.49	  ( (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)), (ho_307 k_344 na) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_33672 |u_(-> _u_(-> x_a Bool)_ Bool)|)) (= (= (ho_141 k_363 k_419) (ho_141 k_363 BOUND_VARIABLE_33672)) (forall ((BOUND_VARIABLE_33671 |u_(-> x_a Bool)|)) (not (ho_126 BOUND_VARIABLE_33672 BOUND_VARIABLE_33671)) )) )
1.29/1.49	  ( k_419 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_33756 |u_(-> nat Bool)|) (BOUND_VARIABLE_18408 nat)) (or (not (ho_115 BOUND_VARIABLE_33756 BOUND_VARIABLE_18408)) (= (ho_180 k_351 (ho_180 (ho_179 k_181 BOUND_VARIABLE_18408) BOUND_VARIABLE_33756)) (ho_180 (ho_179 k_355 BOUND_VARIABLE_18408) (ho_180 k_351 k_350)))) )
1.29/1.49	  ( (ho_182 k_217 (ho_307 k_344 na)), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((X_32 x_a) (BOUND_VARIABLE_33839 |u_(-> x_a Bool)|)) (let ((_let_0 (ho_205 k_375 X_32))) (let ((_let_1 (ho_206 _let_0 BOUND_VARIABLE_33839))) (let ((_let_2 (ho_334 k_393 _let_1))) (let ((_let_3 (ho_334 k_393 BOUND_VARIABLE_33839))) (let ((_let_4 (ho_151 k_150 X_32))) (let ((_let_5 (ho_126 _let_4 BOUND_VARIABLE_33839))) (or (not (ho_126 k_395 BOUND_VARIABLE_33839)) (and (or (not _let_5) (= _let_2 _let_3)) (or _let_5 (= _let_2 (ho_307 k_344 _let_3))))))))))) )
1.29/1.49	  ( (ho_171 k_439 pn), k_440 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_34002 |u_(-> x_a Bool)|) (BOUND_VARIABLE_34000 |u_(-> x_a Bool)|)) (= (ho_126 (ho_125 k_124 BOUND_VARIABLE_34002) BOUND_VARIABLE_34000) (forall ((X_1 x_a)) (ho_349 (ho_348 k_347 (ho_123 BOUND_VARIABLE_34002 X_1)) (ho_123 BOUND_VARIABLE_34000 X_1)) )) )
1.29/1.49	  ( k_440, (ho_386 (ho_385 k_384 k_439) k_438) )
1.29/1.49	  ( (ho_206 (ho_205 k_375 (ho_171 k_439 pn)) k_440), (ho_386 (ho_385 k_384 k_439) k_438) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_34114 |u_(-> nat Bool)|)) (= (ho_118 k_362 BOUND_VARIABLE_34114) (not (forall ((M_1 nat)) (not (forall ((X_1 nat)) (or (not (ho_118 (ho_117 k_116 X_1) BOUND_VARIABLE_34114)) (ho_115 (ho_182 k_217 X_1) M_1)) )) ))) )
1.29/1.49	  ( (ho_180 k_351 k_350) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_34282 |u_(-> _u_(-> pname Bool)_ Bool)|) (BOUND_VARIABLE_34283 |u_(-> pname Bool)|)) (or (not (ho_130 BOUND_VARIABLE_34282 BOUND_VARIABLE_34283)) (= (ho_174 k_428 (ho_174 (ho_173 k_175 BOUND_VARIABLE_34283) BOUND_VARIABLE_34282)) (ho_174 (ho_173 k_360 BOUND_VARIABLE_34283) (ho_174 k_428 k_436)))) )
1.29/1.49	  ( k_380, (ho_109 k_110 k_111) )
1.29/1.49	  ( k_380, k_438 )
1.29/1.49	  ( (ho_133 k_132 pn), k_438 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_34380 |u_(-> pname Bool)|)) (= BOUND_VARIABLE_34380 (ho_109 k_110 BOUND_VARIABLE_34380)) )
1.29/1.49	  ( k_111 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_34468 |u_(-> x_a Bool)|) (BOUND_VARIABLE_34470 |u_(-> x_a Bool)|)) (or (not (ho_126 (ho_125 k_124 BOUND_VARIABLE_34468) BOUND_VARIABLE_34470)) (not (ho_126 k_395 BOUND_VARIABLE_34470)) (ho_126 k_395 BOUND_VARIABLE_34468)) )
1.29/1.49	  ( k_440, (ho_386 (ho_385 k_384 k_439) k_438) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((M nat) (N nat)) (= (ho_115 (ho_182 k_217 M) N) (= bot_bot_nat (ho_307 (ho_346 k_379 M) N))) )
1.29/1.49	  ( (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.29/1.49	  ( (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)), (ho_307 k_344 na) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((M nat) (N nat)) (ho_115 (ho_182 k_260 (ho_307 (ho_346 k_379 M) N)) (ho_307 k_344 M)) )
1.29/1.49	  ( (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)), (ho_307 k_344 na) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((N nat) (M nat)) (or (not (ho_115 (ho_182 k_217 N) M)) (= (ho_307 (ho_346 k_379 (ho_307 k_344 M)) N) (ho_307 k_344 (ho_307 (ho_346 k_379 M) N)))) )
1.29/1.49	  ( (ho_307 k_344 na), (ho_334 k_393 (ho_386 (ho_385 k_384 k_439) k_438)) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((A_11 x_a)) (= (ho_206 k_373 (ho_148 k_147 A_11)) (ho_206 (ho_205 k_375 A_11) (ho_206 k_373 k_374))) )
1.29/1.49	  ( (ho_171 k_439 pn) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((N nat)) (= (ho_307 (ho_346 k_345 N) (ho_307 k_344 bot_bot_nat)) (ho_307 k_344 N)) )
1.29/1.49	  ( na )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_35069 |u_(-> x_a Bool)|) (BOUND_VARIABLE_35072 |u_(-> x_a Bool)|) (BOUND_VARIABLE_35068 |u_(-> x_a Bool)|)) (let ((_let_0 (ho_125 k_124 BOUND_VARIABLE_35069))) (or (not (ho_126 (ho_125 k_124 BOUND_VARIABLE_35072) BOUND_VARIABLE_35068)) (not (ho_126 _let_0 BOUND_VARIABLE_35072)) (ho_126 _let_0 BOUND_VARIABLE_35068))) )
1.29/1.49	  ( (ho_206 (ho_205 k_375 (ho_171 k_439 pn)) k_440), k_440, (ho_386 (ho_385 k_384 k_439) k_438) )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_35303 |u_(-> pname Bool)|)) (or (not (ho_130 k_380 BOUND_VARIABLE_35303)) (ho_202 k_361 (ho_174 k_428 (ho_129 k_131 BOUND_VARIABLE_35303)))) )
1.29/1.49	  ( (ho_109 k_110 k_111) )
1.29/1.49	  ( k_438 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_35312 |u_(-> _u_(-> nat Bool)_ Bool)|)) (= BOUND_VARIABLE_35312 (ho_157 k_401 BOUND_VARIABLE_35312)) )
1.29/1.49	  ( k_437 )
1.29/1.49	)
1.29/1.49	(instantiation (forall ((BOUND_VARIABLE_35386 |u_(-> x_a Bool)|)) (or (not (ho_126 k_395 BOUND_VARIABLE_35386)) (ho_138 k_367 (ho_141 k_363 (ho_125 k_127 BOUND_VARIABLE_35386)))) )
1.29/1.49	  ( (ho_206 k_373 k_374) )
1.29/1.49	)
1.29/1.49	% SZS output end Proof for theBenchmark
1.29/1.50	EOF