0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.13	% Command    : run_E %s %d THM
0.13/0.34	% Computer : n028.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   : 960
0.13/0.34	% WCLimit    : 120
0.13/0.34	% DateTime   : Tue Aug  9 06:33:05 EDT 2022
0.13/0.34	% CPUTime    : 
0.19/0.49	Running higher-order on 8 cores theorem proving
0.19/0.49	Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.19/0.49	# Version: 3.0pre003-ho
22.47/3.32	# Preprocessing class: HSMMSLSSLLLNHFA.
22.47/3.32	# Scheduled 4 strats onto 8 cores with 120 seconds (960 total)
22.47/3.32	# Starting new_ho_10_cnf2 with 600s (5) cores
22.47/3.32	# Starting post_as_ho1 with 120s (1) cores
22.47/3.32	# Starting post_as_ho5 with 120s (1) cores
22.47/3.32	# Starting post_as_ho10 with 120s (1) cores
22.47/3.32	# post_as_ho1 with pid 15881 completed with status 0
22.47/3.32	# Result found by post_as_ho1
22.47/3.32	# Preprocessing class: HSMMSLSSLLLNHFA.
22.47/3.32	# Scheduled 4 strats onto 8 cores with 120 seconds (960 total)
22.47/3.32	# Starting new_ho_10_cnf2 with 600s (5) cores
22.47/3.32	# Starting post_as_ho1 with 120s (1) cores
22.47/3.32	# No SInE strategy applied
22.47/3.32	# Search class: HGUSM-FFMF31-MHFMMMBN
22.47/3.32	# partial match(1): HGUSM-FFMS31-MHFMMMBN
22.47/3.32	# Scheduled 6 strats onto 1 cores with 120 seconds (120 total)
22.47/3.32	# Starting new_ho_10 with 65s (1) cores
22.47/3.32	# new_ho_10 with pid 15886 completed with status 0
22.47/3.32	# Result found by new_ho_10
22.47/3.32	# Preprocessing class: HSMMSLSSLLLNHFA.
22.47/3.32	# Scheduled 4 strats onto 8 cores with 120 seconds (960 total)
22.47/3.32	# Starting new_ho_10_cnf2 with 600s (5) cores
22.47/3.32	# Starting post_as_ho1 with 120s (1) cores
22.47/3.32	# No SInE strategy applied
22.47/3.32	# Search class: HGUSM-FFMF31-MHFMMMBN
22.47/3.32	# partial match(1): HGUSM-FFMS31-MHFMMMBN
22.47/3.32	# Scheduled 6 strats onto 1 cores with 120 seconds (120 total)
22.47/3.32	# Starting new_ho_10 with 65s (1) cores
22.47/3.32	# Preprocessing time       : 0.004 s
22.47/3.32	# Presaturation interreduction done
22.47/3.32	
22.47/3.32	# Proof found!
22.47/3.32	# SZS status Theorem
22.47/3.32	# SZS output start CNFRefutation
22.47/3.32	thf(decl_22, type, one: term).
22.47/3.32	thf(decl_23, type, ap: term > term > term).
22.47/3.32	thf(decl_24, type, lam: term > term).
22.47/3.32	thf(decl_25, type, sub: term > subst > term).
22.47/3.32	thf(decl_26, type, id: subst).
22.47/3.32	thf(decl_27, type, sh: subst).
22.47/3.32	thf(decl_28, type, push: term > subst > subst).
22.47/3.32	thf(decl_29, type, comp: subst > subst > subst).
22.47/3.32	thf(decl_30, type, var: term > $o).
22.47/3.32	thf(decl_31, type, pushprop_lem1v2: $o).
22.47/3.32	thf(decl_32, type, pushprop_lem1_gthm: $o).
22.47/3.32	thf(decl_33, type, axmap: $o).
22.47/3.32	thf(decl_34, type, pushprop_lem0_gthm: $o).
22.47/3.32	thf(decl_35, type, shinj: $o).
22.47/3.32	thf(decl_36, type, hoasinduction_lem1v2: $o).
22.47/3.32	thf(decl_37, type, hoasinduction_lem1v2_gthm: $o).
22.47/3.32	thf(decl_38, type, hoasap: subst > term > subst > term > term).
22.47/3.32	thf(decl_39, type, induction2lem: $o).
22.47/3.32	thf(decl_40, type, hoasinduction_lem3v2_f: $o).
22.47/3.32	thf(decl_41, type, axvarshift: $o).
22.47/3.32	thf(decl_42, type, hoasapinj2: $o).
22.47/3.32	thf(decl_43, type, hoasapnotvar_gthm: $o).
22.47/3.32	thf(decl_44, type, hoasapinj1: $o).
22.47/3.32	thf(decl_45, type, ulamvar1: $o).
22.47/3.32	thf(decl_46, type, induction2lem_lthm: $o).
22.47/3.32	thf(decl_47, type, hoasinduction_lem3v2_gthm: $o).
22.47/3.32	thf(decl_48, type, apnotvar: $o).
22.47/3.32	thf(decl_49, type, pushprop_lthm_orig: $o).
22.47/3.32	thf(decl_50, type, hoasinduction_lem3v2_f_lthm: $o).
22.47/3.32	thf(decl_51, type, hoasinduction_lthm: $o).
22.47/3.32	thf(decl_52, type, hoasinduction_no_psi_cond_lthm: $o).
22.47/3.32	thf(decl_53, type, hoaslaminj: $o).
22.47/3.32	thf(decl_54, type, hoasinduction_lem3aaa: $o).
22.47/3.32	thf(decl_55, type, induction2lem_gthm: $o).
22.47/3.32	thf(decl_56, type, hoasinduction_lem3aa_lthm: $o).
22.47/3.32	thf(decl_57, type, hoasinduction_lem3: $o).
22.47/3.32	thf(decl_58, type, hoasinduction_lem2: $o).
22.47/3.32	thf(decl_59, type, termmset_lthm: $o).
22.47/3.32	thf(decl_60, type, hoasinduction_lem1: $o).
22.47/3.32	thf(decl_61, type, hoaslamnotap_lthm: $o).
22.47/3.32	thf(decl_62, type, pushprop_lem1v2_lthm: $o).
22.47/3.32	thf(decl_63, type, hoasapnotvar: $o).
22.47/3.32	thf(decl_64, type, hoasinduction_lem0: $o).
22.47/3.32	thf(decl_65, type, hoasinduction: $o).
22.47/3.32	thf(decl_66, type, hoasinduction_gthm: $o).
22.47/3.32	thf(decl_67, type, axapp: $o).
22.47/3.32	thf(decl_68, type, hoaslamnotvar_lthm: $o).
22.47/3.32	thf(decl_69, type, pushprop_lem3v2_lthm: $o).
22.47/3.32	thf(decl_70, type, hoasinduction_lem3b_lthm: $o).
22.47/3.32	thf(decl_71, type, ulamvarind: $o).
22.47/3.32	thf(decl_72, type, induction: $o).
22.47/3.32	thf(decl_73, type, hoasinduction_lem3a_lthm: $o).
22.47/3.32	thf(decl_74, type, termmset_gthm: $o).
22.47/3.32	thf(decl_75, type, hoasinduction_lem3aa: $o).
22.47/3.32	thf(decl_76, type, pushprop_lem1v2_gthm: $o).
22.47/3.32	thf(decl_77, type, hoaslamnotap_gthm: $o).
22.47/3.32	thf(decl_78, type, hoaslamnotvar_gthm: $o).
22.47/3.32	thf(decl_79, type, hoasinduction_lem3b_gthm: $o).
22.47/3.32	thf(decl_80, type, pushprop_lem2v2: $o).
22.47/3.32	thf(decl_81, type, hoasinduction_lem3a_gthm: $o).
22.47/3.32	thf(decl_82, type, axclos: $o).
22.47/3.32	thf(decl_83, type, axassoc: $o).
22.47/3.32	thf(decl_84, type, hoasinduction_lem2v2: $o).
22.47/3.32	thf(decl_85, type, pushprop_lthm: $o).
22.47/3.32	thf(decl_86, type, apinj2: $o).
22.47/3.32	thf(decl_87, type, apinj1: $o).
22.47/3.32	thf(decl_88, type, hoasapinj2_lthm: $o).
22.47/3.32	thf(decl_89, type, hoasinduction_lem3v2a: $o).
22.47/3.32	thf(decl_90, type, hoasapinj1_lthm: $o).
22.47/3.32	thf(decl_91, type, hoaslaminj_lthm: $o).
22.47/3.32	thf(decl_92, type, axvarcons: $o).
22.47/3.32	thf(decl_93, type, hoaslam: subst > (subst > term > term) > term).
22.47/3.32	thf(decl_94, type, axscons: $o).
22.47/3.32	thf(decl_95, type, hoasinduction_lem2v2_gthm: $o).
22.47/3.32	thf(decl_96, type, axidr: $o).
22.47/3.32	thf(decl_97, type, pushprop_lem1: $o).
22.47/3.32	thf(decl_98, type, laminj: $o).
22.47/3.32	thf(decl_99, type, hoasinduction_lem3_lthm: $o).
22.47/3.32	thf(decl_100, type, pushprop_lem0: $o).
22.47/3.32	thf(decl_101, type, pushprop_gthm: $o).
22.47/3.32	thf(decl_102, type, axabs: $o).
22.47/3.32	thf(decl_103, type, hoasinduction_lem3v2a_lthm: $o).
22.47/3.32	thf(decl_104, type, hoasinduction_lem2_lthm: $o).
22.47/3.32	thf(decl_105, type, hoasapinj2_gthm: $o).
22.47/3.32	thf(decl_106, type, hoasinduction_p_and_p_prime: (subst > term > subst > $o) > (term > $o) > $o).
22.47/3.32	thf(decl_107, type, hoasinduction_lem1_lthm: $o).
22.47/3.32	thf(decl_108, type, lamnotap: $o).
22.47/3.32	thf(decl_109, type, hoasapinj1_gthm: $o).
22.47/3.32	thf(decl_110, type, hoaslamnotvar: $o).
22.47/3.32	thf(decl_111, type, axidl: $o).
22.47/3.32	thf(decl_112, type, hoaslaminj_gthm: $o).
22.47/3.32	thf(decl_113, type, induction2_lthm: $o).
22.47/3.32	thf(decl_114, type, hoasinduction_lem0_lthm: $o).
22.47/3.32	thf(decl_115, type, substmonoid_lthm: $o).
22.47/3.32	thf(decl_116, type, pushprop: $o).
22.47/3.32	thf(decl_117, type, hoasinduction_lem3_gthm: $o).
22.47/3.32	thf(decl_118, type, hoasinduction_lem2_gthm: $o).
22.47/3.32	thf(decl_119, type, hoasinduction_lem3b: $o).
22.47/3.32	thf(decl_120, type, substmonoid: $o).
22.47/3.32	thf(decl_121, type, lamnotvar: $o).
22.47/3.32	thf(decl_122, type, hoasinduction_lem3a: $o).
22.47/3.32	thf(decl_123, type, hoasinduction_lem1_gthm: $o).
22.47/3.32	thf(decl_124, type, hoasinduction_no_psi_cond: $o).
22.47/3.32	thf(decl_125, type, induction2_gthm: $o).
22.47/3.32	thf(decl_126, type, pushprop_lem2v2_lthm: $o).
22.47/3.32	thf(decl_127, type, hoasvar: subst > term > subst > $o).
22.47/3.32	thf(decl_128, type, hoaslamnotap: $o).
22.47/3.32	thf(decl_129, type, substmonoid_gthm: $o).
22.47/3.32	thf(decl_130, type, ulamvarsh: $o).
22.47/3.32	thf(decl_131, type, induction2: $o).
22.47/3.32	thf(decl_132, type, pushprop_lem3v2: $o).
22.47/3.32	thf(decl_133, type, pushprop_lem2v2_gthm: $o).
22.47/3.32	thf(decl_134, type, pushprop_lem1_lthm: $o).
22.47/3.32	thf(decl_135, type, hoasinduction_lem3v2: $o).
22.47/3.32	thf(decl_136, type, axshiftcons: $o).
22.47/3.32	thf(decl_137, type, termmset: $o).
22.47/3.32	thf(decl_138, type, pushprop_lem0_lthm: $o).
22.47/3.32	thf(decl_139, type, hoasapnotvar_lthm: $o).
22.47/3.32	thf(decl_140, type, hoasinduction_lem3v2_lthm: $o).
22.47/3.32	thf(decl_141, type, pushprop_p_and_p_prime: term > subst > (term > $o) > (term > $o) > $o).
22.47/3.32	thf(decl_142, type, axvarid: $o).
22.47/3.32	thf(decl_143, type, hoasinduction_lthm_3: $o).
22.47/3.32	thf(decl_144, type, esk1_1: (term > $o) > term).
22.47/3.32	thf(decl_145, type, esk2_1: (term > $o) > term).
22.47/3.32	thf(decl_146, type, esk3_1: (term > $o) > term).
22.47/3.32	thf(decl_147, type, esk4_1: (term > $o) > term).
22.47/3.32	thf(decl_148, type, esk5_1: (term > $o) > term).
22.47/3.32	thf(decl_149, type, esk6_3: (term > $o) > term > subst > term).
22.47/3.32	thf(decl_150, type, esk7_1: (term > $o) > term).
22.47/3.32	thf(decl_151, type, esk8_1: (term > $o) > term).
22.47/3.32	thf(decl_152, type, esk9_1: (term > $o) > term).
22.47/3.32	thf(decl_153, type, esk10_3: (term > $o) > term > subst > term).
22.47/3.32	thf(decl_154, type, epred1_0: term > $o).
22.47/3.32	thf(decl_155, type, esk11_1: term > term).
22.47/3.32	thf(decl_156, type, esk12_0: term).
22.47/3.32	thf(induction2_gthm, axiom, ((induction2_gthm)<=>((axapp)=>((axvarcons)=>((axvarid)=>((axabs)=>((axclos)=>((axidl)=>((axshiftcons)=>((axassoc)=>((axmap)=>((axidr)=>((axvarshift)=>((axscons)=>((ulamvar1)=>((ulamvarsh)=>((ulamvarind)=>((apinj1)=>((apinj2)=>((laminj)=>((shinj)=>((lamnotap)=>((apnotvar)=>((lamnotvar)=>((induction)=>((pushprop)=>((induction2lem)=>(induction2))))))))))))))))))))))))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', induction2_gthm)).
22.47/3.32	thf(axapp, axiom, ((axapp)<=>![X1:term, X2:term, X3:subst]:(((sub @ (ap @ X1 @ X2) @ X3)=(ap @ (sub @ X1 @ X3) @ (sub @ X2 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', axapp)).
22.47/3.32	thf(axvarcons, axiom, ((axvarcons)<=>![X1:term, X3:subst]:(((sub @ one @ (push @ X1 @ X3))=(X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', axvarcons)).
22.47/3.32	thf(axvarid, axiom, ((axvarid)<=>![X1:term]:(((sub @ X1 @ id)=(X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', axvarid)).
22.47/3.32	thf(axabs, axiom, ((axabs)<=>![X1:term, X3:subst]:(((sub @ (lam @ X1) @ X3)=(lam @ (sub @ X1 @ (push @ one @ (comp @ X3 @ sh))))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', axabs)).
22.47/3.32	thf(axclos, axiom, ((axclos)<=>![X1:term, X3:subst, X4:subst]:(((sub @ (sub @ X1 @ X3) @ X4)=(sub @ X1 @ (comp @ X3 @ X4))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', axclos)).
22.47/3.32	thf(axidl, axiom, ((axidl)<=>![X3:subst]:(((comp @ id @ X3)=(X3)))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', axidl)).
22.47/3.32	thf(axshiftcons, axiom, ((axshiftcons)<=>![X1:term, X3:subst]:(((comp @ sh @ (push @ X1 @ X3))=(X3)))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', axshiftcons)).
22.47/3.32	thf(axassoc, axiom, ((axassoc)<=>![X3:subst, X4:subst, X5:subst]:(((comp @ (comp @ X3 @ X4) @ X5)=(comp @ X3 @ (comp @ X4 @ X5))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', axassoc)).
22.47/3.32	thf(axmap, axiom, ((axmap)<=>![X1:term, X3:subst, X4:subst]:(((comp @ (push @ X1 @ X3) @ X4)=(push @ (sub @ X1 @ X4) @ (comp @ X3 @ X4))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', axmap)).
22.47/3.32	thf(axidr, axiom, ((axidr)<=>![X3:subst]:(((comp @ X3 @ id)=(X3)))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', axidr)).
22.47/3.32	thf(axvarshift, axiom, ((axvarshift)<=>((push @ one @ sh)=(id))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', axvarshift)).
22.47/3.32	thf(axscons, axiom, ((axscons)<=>![X3:subst]:(((push @ (sub @ one @ X3) @ (comp @ sh @ X3))=(X3)))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', axscons)).
22.47/3.32	thf(ulamvar1, axiom, ((ulamvar1)<=>(var @ one)), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', ulamvar1)).
22.47/3.32	thf(ulamvarsh, axiom, ((ulamvarsh)<=>![X1:term]:(((var @ X1)=>(var @ (sub @ X1 @ sh))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', ulamvarsh)).
22.47/3.32	thf(ulamvarind, axiom, ((ulamvarind)<=>![X6:term > $o]:(((X6 @ one)=>(![X1:term]:(((var @ X1)=>((X6 @ X1)=>(X6 @ (sub @ X1 @ sh)))))=>![X1:term]:(((var @ X1)=>(X6 @ X1))))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', ulamvarind)).
22.47/3.32	thf(apinj1, axiom, ((apinj1)<=>![X1:term, X2:term, X7:term, X8:term]:((((ap @ X1 @ X7)=(ap @ X2 @ X8))=>((X1)=(X2))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', apinj1)).
22.47/3.32	thf(apinj2, axiom, ((apinj2)<=>![X1:term, X2:term, X7:term, X8:term]:((((ap @ X1 @ X7)=(ap @ X2 @ X8))=>((X7)=(X8))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', apinj2)).
22.47/3.32	thf(laminj, axiom, ((laminj)<=>![X1:term, X2:term]:((((lam @ X1)=(lam @ X2))=>((X1)=(X2))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', laminj)).
22.47/3.32	thf(shinj, axiom, ((shinj)<=>![X1:term, X2:term]:((((sub @ X1 @ sh)=(sub @ X2 @ sh))=>((X1)=(X2))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', shinj)).
22.47/3.32	thf(lamnotap, axiom, ((lamnotap)<=>![X1:term, X2:term, X7:term]:(((lam @ X1)!=(ap @ X2 @ X7)))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', lamnotap)).
22.47/3.32	thf(apnotvar, axiom, ((apnotvar)<=>![X1:term, X2:term]:(~((var @ (ap @ X1 @ X2))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', apnotvar)).
22.47/3.32	thf(lamnotvar, axiom, ((lamnotvar)<=>![X1:term]:(~((var @ (lam @ X1))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', lamnotvar)).
22.47/3.32	thf(induction, axiom, ((induction)<=>![X6:term > $o]:((![X1:term]:(((var @ X1)=>(X6 @ X1)))=>(![X1:term, X2:term]:(((X6 @ X1)=>((X6 @ X2)=>(X6 @ (ap @ X1 @ X2)))))=>(![X1:term]:(((X6 @ X1)=>(X6 @ (lam @ X1))))=>![X1:term]:((X6 @ X1))))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', induction)).
22.47/3.32	thf(pushprop, axiom, ((pushprop)<=>![X6:term > $o, X1:term, X3:subst]:((![X2:term]:(((var @ X2)=>(X6 @ (sub @ X2 @ X3))))=>((X6 @ X1)=>![X2:term]:(((var @ X2)=>(X6 @ (sub @ X2 @ (push @ X1 @ X3))))))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', pushprop)).
22.47/3.32	thf(induction2lem, axiom, ((induction2lem)<=>![X6:term > $o]:((![X1:term, X2:term]:(((X6 @ X1)=>((X6 @ X2)=>(X6 @ (ap @ X1 @ X2)))))=>(![X1:term]:((![X2:term]:(((X6 @ X2)=>(X6 @ (sub @ X1 @ (push @ X2 @ id)))))=>(X6 @ (lam @ X1))))=>![X1:term, X3:subst]:((![X2:term]:(((var @ X2)=>(X6 @ (sub @ X2 @ X3))))=>(X6 @ (sub @ X1 @ X3)))))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', induction2lem)).
22.47/3.32	thf(induction2, axiom, ((induction2)<=>![X6:term > $o]:((![X1:term]:(((var @ X1)=>(X6 @ X1)))=>(![X1:term, X2:term]:(((X6 @ X1)=>((X6 @ X2)=>(X6 @ (ap @ X1 @ X2)))))=>(![X1:term]:((![X2:term]:(((X6 @ X2)=>(X6 @ (sub @ X1 @ (push @ X2 @ id)))))=>(X6 @ (lam @ X1))))=>![X1:term]:((X6 @ X1))))))), file('/export/starexec/sandbox2/benchmark/Axioms/ALG003^0.ax', induction2)).
22.47/3.32	thf(thm, conjecture, (induction2_gthm), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm)).
22.47/3.32	thf(c_0_28, axiom, ((induction2_gthm)=(((![X3068:term, X3069:term, X3070:subst]:(((sub @ (ap @ X3068 @ X3069) @ X3070)=(ap @ (sub @ X3068 @ X3070) @ (sub @ X3069 @ X3070)))))=>((![X3071:term, X3072:subst]:(((sub @ one @ (push @ X3071 @ X3072))=(X3071))))=>((![X3073:term]:(((sub @ X3073 @ id)=(X3073))))=>((![X3074:term, X3075:subst]:(((sub @ (lam @ X3074) @ X3075)=(lam @ (sub @ X3074 @ (push @ one @ (comp @ X3075 @ sh)))))))=>((![X3076:term, X3077:subst, X3078:subst]:(((sub @ (sub @ X3076 @ X3077) @ X3078)=(sub @ X3076 @ (comp @ X3077 @ X3078)))))=>((![X3079:subst]:(((comp @ id @ X3079)=(X3079))))=>((![X3080:term, X3081:subst]:(((comp @ sh @ (push @ X3080 @ X3081))=(X3081))))=>((![X3082:subst, X3083:subst, X3084:subst]:(((comp @ (comp @ X3082 @ X3083) @ X3084)=(comp @ X3082 @ (comp @ X3083 @ X3084)))))=>((![X3085:term, X3086:subst, X3087:subst]:(((comp @ (push @ X3085 @ X3086) @ X3087)=(push @ (sub @ X3085 @ X3087) @ (comp @ X3086 @ X3087)))))=>((![X3088:subst]:(((comp @ X3088 @ id)=(X3088))))=>((((push @ one @ sh)=(id)))=>((![X3089:subst]:(((push @ (sub @ one @ X3089) @ (comp @ sh @ X3089))=(X3089))))=>(((var @ one))=>((![X3090:term]:(((var @ X3090)=>(var @ (sub @ X3090 @ sh)))))=>((![X3091:term > $o]:(((X3091 @ one)=>(![X3092:term]:(((var @ X3092)=>((X3091 @ X3092)=>(X3091 @ (sub @ X3092 @ sh)))))=>![X3093:term]:(((var @ X3093)=>(X3091 @ X3093)))))))=>((![X3094:term, X3095:term, X3096:term, X3097:term]:((((ap @ X3094 @ X3096)=(ap @ X3095 @ X3097))=>((X3094)=(X3095)))))=>((![X3098:term, X3099:term, X3100:term, X3101:term]:((((ap @ X3098 @ X3100)=(ap @ X3099 @ X3101))=>((X3100)=(X3101)))))=>((![X3102:term, X3103:term]:((((lam @ X3102)=(lam @ X3103))=>((X3102)=(X3103)))))=>((![X3104:term, X3105:term]:((((sub @ X3104 @ sh)=(sub @ X3105 @ sh))=>((X3104)=(X3105)))))=>((![X3106:term, X3107:term, X3108:term]:(((lam @ X3106)!=(ap @ X3107 @ X3108))))=>((![X3109:term, X3110:term]:(~((var @ (ap @ X3109 @ X3110)))))=>((![X3111:term]:(~((var @ (lam @ X3111)))))=>((![X3112:term > $o]:((![X3113:term]:(((var @ X3113)=>(X3112 @ X3113)))=>(![X3114:term, X3115:term]:(((X3112 @ X3114)=>((X3112 @ X3115)=>(X3112 @ (ap @ X3114 @ X3115)))))=>(![X3116:term]:(((X3112 @ X3116)=>(X3112 @ (lam @ X3116))))=>![X3117:term]:((X3112 @ X3117)))))))=>((![X3118:term > $o, X3119:term, X3120:subst]:((![X3121:term]:(((var @ X3121)=>(X3118 @ (sub @ X3121 @ X3120))))=>((X3118 @ X3119)=>![X3122:term]:(((var @ X3122)=>(X3118 @ (sub @ X3122 @ (push @ X3119 @ X3120)))))))))=>((![X3123:term > $o]:((![X3124:term, X3125:term]:(((X3123 @ X3124)=>((X3123 @ X3125)=>(X3123 @ (ap @ X3124 @ X3125)))))=>(![X3126:term]:((![X3127:term]:(((X3123 @ X3127)=>(X3123 @ (sub @ X3126 @ (push @ X3127 @ id)))))=>(X3123 @ (lam @ X3126))))=>![X3128:term, X3129:subst]:((![X3130:term]:(((var @ X3130)=>(X3123 @ (sub @ X3130 @ X3129))))=>(X3123 @ (sub @ X3128 @ X3129))))))))=>(![X3131:term > $o]:((![X3132:term]:(((var @ X3132)=>(X3131 @ X3132)))=>(![X3133:term, X3134:term]:(((X3131 @ X3133)=>((X3131 @ X3134)=>(X3131 @ (ap @ X3133 @ X3134)))))=>(![X3135:term]:((![X3136:term]:(((X3131 @ X3136)=>(X3131 @ (sub @ X3135 @ (push @ X3136 @ id)))))=>(X3131 @ (lam @ X3135))))=>![X3137:term]:((X3131 @ X3137)))))))))))))))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[induction2_gthm, axapp]), axvarcons]), axvarid]), axabs]), axclos]), axidl]), axshiftcons]), axassoc]), axmap]), axidr]), axvarshift]), axscons]), ulamvar1]), ulamvarsh]), ulamvarind]), apinj1]), apinj2]), laminj]), shinj]), lamnotap]), apnotvar]), lamnotvar]), induction]), pushprop]), induction2lem]), induction2])).
22.47/3.32	thf(c_0_29, negated_conjecture, ~((![X3373:term, X3374:term, X3375:subst]:(((sub @ (ap @ X3373 @ X3374) @ X3375)=(ap @ (sub @ X3373 @ X3375) @ (sub @ X3374 @ X3375))))=>(![X3376:term, X3377:subst]:(((sub @ one @ (push @ X3376 @ X3377))=(X3376)))=>(![X3378:term]:(((sub @ X3378 @ id)=(X3378)))=>(![X3379:term, X3380:subst]:(((sub @ (lam @ X3379) @ X3380)=(lam @ (sub @ X3379 @ (push @ one @ (comp @ X3380 @ sh))))))=>(![X3381:term, X3382:subst, X3383:subst]:(((sub @ (sub @ X3381 @ X3382) @ X3383)=(sub @ X3381 @ (comp @ X3382 @ X3383))))=>(![X3384:subst]:(((comp @ id @ X3384)=(X3384)))=>(![X3385:term, X3386:subst]:(((comp @ sh @ (push @ X3385 @ X3386))=(X3386)))=>(![X3387:subst, X3388:subst, X3389:subst]:(((comp @ (comp @ X3387 @ X3388) @ X3389)=(comp @ X3387 @ (comp @ X3388 @ X3389))))=>(![X3390:term, X3391:subst, X3392:subst]:(((comp @ (push @ X3390 @ X3391) @ X3392)=(push @ (sub @ X3390 @ X3392) @ (comp @ X3391 @ X3392))))=>(![X3393:subst]:(((comp @ X3393 @ id)=(X3393)))=>(((push @ one @ sh)=(id))=>(![X3394:subst]:(((push @ (sub @ one @ X3394) @ (comp @ sh @ X3394))=(X3394)))=>((var @ one)=>(![X3395:term]:(((var @ X3395)=>(var @ (sub @ X3395 @ sh))))=>(![X3396:term > $o]:(((X3396 @ one)=>(![X3397:term]:(((var @ X3397)=>((X3396 @ X3397)=>(X3396 @ (sub @ X3397 @ sh)))))=>![X3398:term]:(((var @ X3398)=>(X3396 @ X3398))))))=>(![X3399:term, X3400:term, X3401:term, X3402:term]:((((ap @ X3399 @ X3401)=(ap @ X3400 @ X3402))=>((X3399)=(X3400))))=>(![X3403:term, X3404:term, X3405:term, X3406:term]:((((ap @ X3403 @ X3405)=(ap @ X3404 @ X3406))=>((X3405)=(X3406))))=>(![X3407:term, X3408:term]:((((lam @ X3407)=(lam @ X3408))=>((X3407)=(X3408))))=>(![X3409:term, X3410:term]:((((sub @ X3409 @ sh)=(sub @ X3410 @ sh))=>((X3409)=(X3410))))=>(![X3411:term, X3412:term, X3413:term]:(((lam @ X3411)!=(ap @ X3412 @ X3413)))=>(![X3414:term, X3415:term]:(~(var @ (ap @ X3414 @ X3415)))=>(![X3416:term]:(~(var @ (lam @ X3416)))=>(![X3417:term > $o]:((![X3418:term]:(((var @ X3418)=>(X3417 @ X3418)))=>(![X3419:term, X3420:term]:(((X3417 @ X3419)=>((X3417 @ X3420)=>(X3417 @ (ap @ X3419 @ X3420)))))=>(![X3421:term]:(((X3417 @ X3421)=>(X3417 @ (lam @ X3421))))=>![X3422:term]:((X3417 @ X3422))))))=>(![X3423:term > $o, X3424:term, X3425:subst]:((![X3426:term]:(((var @ X3426)=>(X3423 @ (sub @ X3426 @ X3425))))=>((X3423 @ X3424)=>![X3427:term]:(((var @ X3427)=>(X3423 @ (sub @ X3427 @ (push @ X3424 @ X3425))))))))=>(![X3428:term > $o]:((![X3429:term, X3430:term]:(((X3428 @ X3429)=>((X3428 @ X3430)=>(X3428 @ (ap @ X3429 @ X3430)))))=>(![X3431:term]:((![X3432:term]:(((X3428 @ X3432)=>(X3428 @ (sub @ X3431 @ (push @ X3432 @ id)))))=>(X3428 @ (lam @ X3431))))=>![X3433:term, X3434:subst]:((![X3435:term]:(((var @ X3435)=>(X3428 @ (sub @ X3435 @ X3434))))=>(X3428 @ (sub @ X3433 @ X3434)))))))=>![X3436:term > $o]:((![X3437:term]:(((var @ X3437)=>(X3436 @ X3437)))=>(![X3438:term, X3439:term]:(((X3436 @ X3438)=>((X3436 @ X3439)=>(X3436 @ (ap @ X3438 @ X3439)))))=>(![X3440:term]:((![X3441:term]:(((X3436 @ X3441)=>(X3436 @ (sub @ X3440 @ (push @ X3441 @ id)))))=>(X3436 @ (lam @ X3440))))=>![X3442:term]:((X3436 @ X3442)))))))))))))))))))))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thm]), c_0_28])])).
22.47/3.32	thf(c_0_30, negated_conjecture, ![X3455:term, X3456:term, X3457:subst, X3458:term, X3459:subst, X3460:term, X3461:term, X3462:subst, X3463:term, X3464:subst, X3465:subst, X3466:subst, X3467:term, X3468:subst, X3469:subst, X3470:subst, X3471:subst, X3472:term, X3473:subst, X3474:subst, X3475:subst, X3476:subst, X3477:term, X3478:term > $o, X3480:term, X3481:term, X3482:term, X3483:term, X3484:term, X3485:term, X3486:term, X3487:term, X3488:term, X3489:term, X3490:term, X3491:term, X3492:term, X3493:term, X3494:term, X3495:term, X3496:term, X3497:term, X3498:term, X3499:term > $o, X3504:term, X3505:term > $o, X3506:term, X3507:subst, X3509:term, X3510:term > $o, X3514:term, X3515:term, X3516:subst, X3519:term, X3520:term, X3521:term, X3522:term]:((((sub @ (ap @ X3455 @ X3456) @ X3457)=(ap @ (sub @ X3455 @ X3457) @ (sub @ X3456 @ X3457)))&(((sub @ one @ (push @ X3458 @ X3459))=(X3458))&(((sub @ X3460 @ id)=(X3460))&(((sub @ (lam @ X3461) @ X3462)=(lam @ (sub @ X3461 @ (push @ one @ (comp @ X3462 @ sh)))))&(((sub @ (sub @ X3463 @ X3464) @ X3465)=(sub @ X3463 @ (comp @ X3464 @ X3465)))&(((comp @ id @ X3466)=(X3466))&(((comp @ sh @ (push @ X3467 @ X3468))=(X3468))&(((comp @ (comp @ X3469 @ X3470) @ X3471)=(comp @ X3469 @ (comp @ X3470 @ X3471)))&(((comp @ (push @ X3472 @ X3473) @ X3474)=(push @ (sub @ X3472 @ X3474) @ (comp @ X3473 @ X3474)))&(((comp @ X3475 @ id)=(X3475))&(((push @ one @ sh)=(id))&(((push @ (sub @ one @ X3476) @ (comp @ sh @ X3476))=(X3476))&((var @ one)&((~(var @ X3477)|(var @ (sub @ X3477 @ sh)))&((((var @ (esk1_1 @ X3478))|(~(var @ X3480)|(X3478 @ X3480))|~(X3478 @ one))&(((X3478 @ (esk1_1 @ X3478))|(~(var @ X3480)|(X3478 @ X3480))|~(X3478 @ one))&(~(X3478 @ (sub @ (esk1_1 @ X3478) @ sh))|(~(var @ X3480)|(X3478 @ X3480))|~(X3478 @ one))))&((((ap @ X3481 @ X3483)!=(ap @ X3482 @ X3484))|((X3481)=(X3482)))&((((ap @ X3485 @ X3487)!=(ap @ X3486 @ X3488))|((X3487)=(X3488)))&((((lam @ X3489)!=(lam @ X3490))|((X3489)=(X3490)))&((((sub @ X3491 @ sh)!=(sub @ X3492 @ sh))|((X3491)=(X3492)))&(((lam @ X3493)!=(ap @ X3494 @ X3495))&(~(var @ (ap @ X3496 @ X3497))&(~(var @ (lam @ X3498))&((((((X3499 @ (esk5_1 @ X3499))|(X3499 @ X3504)|(X3499 @ (esk3_1 @ X3499))|(var @ (esk2_1 @ X3499)))&(~(X3499 @ (lam @ (esk5_1 @ X3499)))|(X3499 @ X3504)|(X3499 @ (esk3_1 @ X3499))|(var @ (esk2_1 @ X3499))))&((((X3499 @ (esk5_1 @ X3499))|(X3499 @ X3504)|(X3499 @ (esk4_1 @ X3499))|(var @ (esk2_1 @ X3499)))&(~(X3499 @ (lam @ (esk5_1 @ X3499)))|(X3499 @ X3504)|(X3499 @ (esk4_1 @ X3499))|(var @ (esk2_1 @ X3499))))&(((X3499 @ (esk5_1 @ X3499))|(X3499 @ X3504)|~(X3499 @ (ap @ (esk3_1 @ X3499) @ (esk4_1 @ X3499)))|(var @ (esk2_1 @ X3499)))&(~(X3499 @ (lam @ (esk5_1 @ X3499)))|(X3499 @ X3504)|~(X3499 @ (ap @ (esk3_1 @ X3499) @ (esk4_1 @ X3499)))|(var @ (esk2_1 @ X3499))))))&((((X3499 @ (esk5_1 @ X3499))|(X3499 @ X3504)|(X3499 @ (esk3_1 @ X3499))|~(X3499 @ (esk2_1 @ X3499)))&(~(X3499 @ (lam @ (esk5_1 @ X3499)))|(X3499 @ X3504)|(X3499 @ (esk3_1 @ X3499))|~(X3499 @ (esk2_1 @ X3499))))&((((X3499 @ (esk5_1 @ X3499))|(X3499 @ X3504)|(X3499 @ (esk4_1 @ X3499))|~(X3499 @ (esk2_1 @ X3499)))&(~(X3499 @ (lam @ (esk5_1 @ X3499)))|(X3499 @ X3504)|(X3499 @ (esk4_1 @ X3499))|~(X3499 @ (esk2_1 @ X3499))))&(((X3499 @ (esk5_1 @ X3499))|(X3499 @ X3504)|~(X3499 @ (ap @ (esk3_1 @ X3499) @ (esk4_1 @ X3499)))|~(X3499 @ (esk2_1 @ X3499)))&(~(X3499 @ (lam @ (esk5_1 @ X3499)))|(X3499 @ X3504)|~(X3499 @ (ap @ (esk3_1 @ X3499) @ (esk4_1 @ X3499)))|~(X3499 @ (esk2_1 @ X3499)))))))&((((var @ (esk6_3 @ X3505 @ X3506 @ X3507))|(~(X3505 @ X3506)|(~(var @ X3509)|(X3505 @ (sub @ X3509 @ (push @ X3506 @ X3507))))))&(~(X3505 @ (sub @ (esk6_3 @ X3505 @ X3506 @ X3507) @ X3507))|(~(X3505 @ X3506)|(~(var @ X3509)|(X3505 @ (sub @ X3509 @ (push @ X3506 @ X3507)))))))&((((((var @ (esk10_3 @ X3510 @ X3515 @ X3516))|(X3510 @ (sub @ X3515 @ X3516))|(~(X3510 @ X3514)|(X3510 @ (sub @ (esk9_1 @ X3510) @ (push @ X3514 @ id))))|(X3510 @ (esk7_1 @ X3510)))&(~(X3510 @ (sub @ (esk10_3 @ X3510 @ X3515 @ X3516) @ X3516))|(X3510 @ (sub @ X3515 @ X3516))|(~(X3510 @ X3514)|(X3510 @ (sub @ (esk9_1 @ X3510) @ (push @ X3514 @ id))))|(X3510 @ (esk7_1 @ X3510))))&(((var @ (esk10_3 @ X3510 @ X3515 @ X3516))|(X3510 @ (sub @ X3515 @ X3516))|~(X3510 @ (lam @ (esk9_1 @ X3510)))|(X3510 @ (esk7_1 @ X3510)))&(~(X3510 @ (sub @ (esk10_3 @ X3510 @ X3515 @ X3516) @ X3516))|(X3510 @ (sub @ X3515 @ X3516))|~(X3510 @ (lam @ (esk9_1 @ X3510)))|(X3510 @ (esk7_1 @ X3510)))))&(((((var @ (esk10_3 @ X3510 @ X3515 @ X3516))|(X3510 @ (sub @ X3515 @ X3516))|(~(X3510 @ X3514)|(X3510 @ (sub @ (esk9_1 @ X3510) @ (push @ X3514 @ id))))|(X3510 @ (esk8_1 @ X3510)))&(~(X3510 @ (sub @ (esk10_3 @ X3510 @ X3515 @ X3516) @ X3516))|(X3510 @ (sub @ X3515 @ X3516))|(~(X3510 @ X3514)|(X3510 @ (sub @ (esk9_1 @ X3510) @ (push @ X3514 @ id))))|(X3510 @ (esk8_1 @ X3510))))&(((var @ (esk10_3 @ X3510 @ X3515 @ X3516))|(X3510 @ (sub @ X3515 @ X3516))|~(X3510 @ (lam @ (esk9_1 @ X3510)))|(X3510 @ (esk8_1 @ X3510)))&(~(X3510 @ (sub @ (esk10_3 @ X3510 @ X3515 @ X3516) @ X3516))|(X3510 @ (sub @ X3515 @ X3516))|~(X3510 @ (lam @ (esk9_1 @ X3510)))|(X3510 @ (esk8_1 @ X3510)))))&((((var @ (esk10_3 @ X3510 @ X3515 @ X3516))|(X3510 @ (sub @ X3515 @ X3516))|(~(X3510 @ X3514)|(X3510 @ (sub @ (esk9_1 @ X3510) @ (push @ X3514 @ id))))|~(X3510 @ (ap @ (esk7_1 @ X3510) @ (esk8_1 @ X3510))))&(~(X3510 @ (sub @ (esk10_3 @ X3510 @ X3515 @ X3516) @ X3516))|(X3510 @ (sub @ X3515 @ X3516))|(~(X3510 @ X3514)|(X3510 @ (sub @ (esk9_1 @ X3510) @ (push @ X3514 @ id))))|~(X3510 @ (ap @ (esk7_1 @ X3510) @ (esk8_1 @ X3510)))))&(((var @ (esk10_3 @ X3510 @ X3515 @ X3516))|(X3510 @ (sub @ X3515 @ X3516))|~(X3510 @ (lam @ (esk9_1 @ X3510)))|~(X3510 @ (ap @ (esk7_1 @ X3510) @ (esk8_1 @ X3510))))&(~(X3510 @ (sub @ (esk10_3 @ X3510 @ X3515 @ X3516) @ X3516))|(X3510 @ (sub @ X3515 @ X3516))|~(X3510 @ (lam @ (esk9_1 @ X3510)))|~(X3510 @ (ap @ (esk7_1 @ X3510) @ (esk8_1 @ X3510))))))))&((~(var @ X3519)|(epred1_0 @ X3519))&((~(epred1_0 @ X3520)|(~(epred1_0 @ X3521)|(epred1_0 @ (ap @ X3520 @ X3521))))&((((epred1_0 @ (esk11_1 @ X3522))|(epred1_0 @ (lam @ X3522)))&(~(epred1_0 @ (sub @ X3522 @ (push @ (esk11_1 @ X3522) @ id)))|(epred1_0 @ (lam @ X3522))))&~(epred1_0 @ esk12_0)))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])])])).
22.47/3.32	thf(c_0_31, negated_conjecture, ![X3:subst, X1:term, X6:term > $o]:(((X6 @ (sub @ X1 @ X3))|~((X6 @ (sub @ (esk10_3 @ X6 @ X1 @ X3) @ X3)))|~((X6 @ (lam @ (esk9_1 @ X6))))|~((X6 @ (ap @ (esk7_1 @ X6) @ (esk8_1 @ X6)))))), inference(split_conjunct,[status(thm)],[c_0_30])).
22.47/3.32	thf(c_0_32, negated_conjecture, ![X1:term, X2:term]:(((epred1_0 @ (ap @ X1 @ X2))|~((epred1_0 @ X1))|~((epred1_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_30])).
22.47/3.32	thf(c_0_33, negated_conjecture, ![X3:subst, X1:term, X6:term > $o]:(((X6 @ (sub @ X1 @ X3))|(X6 @ (esk7_1 @ X6))|~((X6 @ (sub @ (esk10_3 @ X6 @ X1 @ X3) @ X3)))|~((X6 @ (lam @ (esk9_1 @ X6)))))), inference(split_conjunct,[status(thm)],[c_0_30])).
22.47/3.32	thf(c_0_34, negated_conjecture, ![X3:subst, X1:term, X6:term > $o]:(((X6 @ (sub @ X1 @ X3))|(X6 @ (esk8_1 @ X6))|~((X6 @ (sub @ (esk10_3 @ X6 @ X1 @ X3) @ X3)))|~((X6 @ (lam @ (esk9_1 @ X6)))))), inference(split_conjunct,[status(thm)],[c_0_30])).
22.47/3.32	thf(c_0_35, negated_conjecture, ![X1:term, X3:subst]:(((epred1_0 @ (sub @ X1 @ X3))|~((epred1_0 @ (sub @ (esk10_3 @ epred1_0 @ X1 @ X3) @ X3)))|~((epred1_0 @ (lam @ (esk9_1 @ epred1_0)))))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33]), c_0_34])).
22.47/3.32	thf(c_0_36, negated_conjecture, ![X1:term]:(((sub @ X1 @ id)=(X1))), inference(split_conjunct,[status(thm)],[c_0_30])).
22.47/3.32	thf(c_0_37, negated_conjecture, ![X1:term, X3:subst, X2:term, X6:term > $o]:(((X6 @ (sub @ X1 @ X3))|(X6 @ (sub @ (esk9_1 @ X6) @ (push @ X2 @ id)))|~((X6 @ (sub @ (esk10_3 @ X6 @ X1 @ X3) @ X3)))|~((X6 @ X2))|~((X6 @ (ap @ (esk7_1 @ X6) @ (esk8_1 @ X6)))))), inference(split_conjunct,[status(thm)],[c_0_30])).
22.47/3.32	thf(c_0_38, negated_conjecture, ![X1:term, X6:term > $o, X3:subst, X2:term]:(((X6 @ (sub @ X1 @ X3))|(X6 @ (sub @ (esk9_1 @ X6) @ (push @ X2 @ id)))|(X6 @ (esk7_1 @ X6))|~((X6 @ (sub @ (esk10_3 @ X6 @ X1 @ X3) @ X3)))|~((X6 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_30])).
22.47/3.32	thf(c_0_39, negated_conjecture, ![X1:term, X6:term > $o, X3:subst, X2:term]:(((X6 @ (sub @ X1 @ X3))|(X6 @ (sub @ (esk9_1 @ X6) @ (push @ X2 @ id)))|(X6 @ (esk8_1 @ X6))|~((X6 @ (sub @ (esk10_3 @ X6 @ X1 @ X3) @ X3)))|~((X6 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_30])).
22.47/3.32	thf(c_0_40, negated_conjecture, ![X3:subst, X2:term, X1:term, X6:term > $o]:(((var @ (esk10_3 @ X6 @ X1 @ X3))|(X6 @ (sub @ X1 @ X3))|(X6 @ (sub @ (esk9_1 @ X6) @ (push @ X2 @ id)))|~((X6 @ X2))|~((X6 @ (ap @ (esk7_1 @ X6) @ (esk8_1 @ X6)))))), inference(split_conjunct,[status(thm)],[c_0_30])).
22.47/3.32	thf(c_0_41, negated_conjecture, ![X6:term > $o, X1:term, X3:subst, X2:term]:(((var @ (esk10_3 @ X6 @ X1 @ X3))|(X6 @ (sub @ X1 @ X3))|(X6 @ (sub @ (esk9_1 @ X6) @ (push @ X2 @ id)))|(X6 @ (esk7_1 @ X6))|~((X6 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_30])).
22.47/3.32	thf(c_0_42, negated_conjecture, ![X6:term > $o, X1:term, X3:subst, X2:term]:(((var @ (esk10_3 @ X6 @ X1 @ X3))|(X6 @ (sub @ X1 @ X3))|(X6 @ (sub @ (esk9_1 @ X6) @ (push @ X2 @ id)))|(X6 @ (esk8_1 @ X6))|~((X6 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_30])).
22.47/3.32	thf(c_0_43, negated_conjecture, ![X1:term]:(((epred1_0 @ X1)|~((epred1_0 @ (esk10_3 @ epred1_0 @ X1 @ id)))|~((epred1_0 @ (lam @ (esk9_1 @ epred1_0)))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_36])).
22.47/3.32	thf(c_0_44, negated_conjecture, ![X1:term]:(((epred1_0 @ X1)|~((var @ X1)))), inference(split_conjunct,[status(thm)],[c_0_30])).
22.47/3.32	thf(c_0_45, negated_conjecture, ![X3:subst, X1:term, X6:term > $o]:(((var @ (esk10_3 @ X6 @ X1 @ X3))|(X6 @ (sub @ X1 @ X3))|~((X6 @ (lam @ (esk9_1 @ X6))))|~((X6 @ (ap @ (esk7_1 @ X6) @ (esk8_1 @ X6)))))), inference(split_conjunct,[status(thm)],[c_0_30])).
22.47/3.32	thf(c_0_46, negated_conjecture, ![X3:subst, X1:term, X6:term > $o]:(((var @ (esk10_3 @ X6 @ X1 @ X3))|(X6 @ (sub @ X1 @ X3))|(X6 @ (esk7_1 @ X6))|~((X6 @ (lam @ (esk9_1 @ X6)))))), inference(split_conjunct,[status(thm)],[c_0_30])).
22.47/3.32	thf(c_0_47, negated_conjecture, ![X3:subst, X1:term, X6:term > $o]:(((var @ (esk10_3 @ X6 @ X1 @ X3))|(X6 @ (sub @ X1 @ X3))|(X6 @ (esk8_1 @ X6))|~((X6 @ (lam @ (esk9_1 @ X6)))))), inference(split_conjunct,[status(thm)],[c_0_30])).
22.47/3.32	thf(c_0_48, negated_conjecture, ![X3:subst, X2:term, X1:term]:(((epred1_0 @ (sub @ (esk9_1 @ epred1_0) @ (push @ X1 @ id)))|(epred1_0 @ (sub @ X2 @ X3))|~((epred1_0 @ (sub @ (esk10_3 @ epred1_0 @ X2 @ X3) @ X3)))|~((epred1_0 @ X1)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_32]), c_0_38]), c_0_39])).
22.47/3.32	thf(c_0_49, negated_conjecture, ![X3:subst, X2:term, X1:term]:(((epred1_0 @ (sub @ (esk9_1 @ epred1_0) @ (push @ X1 @ id)))|(var @ (esk10_3 @ epred1_0 @ X2 @ X3))|(epred1_0 @ (sub @ X2 @ X3))|~((epred1_0 @ X1)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_32]), c_0_41]), c_0_42])).
22.47/3.32	thf(c_0_50, negated_conjecture, ![X1:term]:(((epred1_0 @ (esk11_1 @ X1))|(epred1_0 @ (lam @ X1)))), inference(split_conjunct,[status(thm)],[c_0_30])).
22.47/3.32	thf(c_0_51, negated_conjecture, ![X1:term]:(((epred1_0 @ X1)|~((var @ (esk10_3 @ epred1_0 @ X1 @ id)))|~((epred1_0 @ (lam @ (esk9_1 @ epred1_0)))))), inference(spm,[status(thm)],[c_0_43, c_0_44])).
22.47/3.32	thf(c_0_52, negated_conjecture, ![X1:term, X3:subst]:(((var @ (esk10_3 @ epred1_0 @ X1 @ X3))|(epred1_0 @ (sub @ X1 @ X3))|~((epred1_0 @ (lam @ (esk9_1 @ epred1_0)))))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_32]), c_0_46]), c_0_47])).
22.47/3.32	thf(c_0_53, negated_conjecture, ![X2:term, X1:term]:(((epred1_0 @ (sub @ (esk9_1 @ epred1_0) @ (push @ X1 @ id)))|(epred1_0 @ X2)|~((epred1_0 @ (esk10_3 @ epred1_0 @ X2 @ id)))|~((epred1_0 @ X1)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_36]), c_0_36])).
22.47/3.32	thf(c_0_54, negated_conjecture, ![X1:term]:(((epred1_0 @ (lam @ X1))|~((epred1_0 @ (sub @ X1 @ (push @ (esk11_1 @ X1) @ id)))))), inference(split_conjunct,[status(thm)],[c_0_30])).
22.47/3.32	thf(c_0_55, negated_conjecture, ![X3:subst, X2:term, X1:term]:(((epred1_0 @ (sub @ (esk9_1 @ epred1_0) @ (push @ (esk11_1 @ X1) @ id)))|(var @ (esk10_3 @ epred1_0 @ X2 @ X3))|(epred1_0 @ (sub @ X2 @ X3))|(epred1_0 @ (lam @ X1)))), inference(spm,[status(thm)],[c_0_49, c_0_50])).
22.47/3.32	thf(c_0_56, negated_conjecture, ![X1:term]:(((epred1_0 @ X1)|~((epred1_0 @ (lam @ (esk9_1 @ epred1_0)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_36])])).
22.47/3.32	thf(c_0_57, negated_conjecture, ![X2:term, X1:term]:(((epred1_0 @ (sub @ (esk9_1 @ epred1_0) @ (push @ X1 @ id)))|(epred1_0 @ X2)|~((var @ (esk10_3 @ epred1_0 @ X2 @ id)))|~((epred1_0 @ X1)))), inference(spm,[status(thm)],[c_0_53, c_0_44])).
22.47/3.32	thf(c_0_58, negated_conjecture, ![X1:term, X3:subst]:(((var @ (esk10_3 @ epred1_0 @ X1 @ X3))|(epred1_0 @ (sub @ X1 @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_56])).
22.47/3.32	thf(c_0_59, negated_conjecture, ![X1:term]:(((epred1_0 @ (sub @ (esk9_1 @ epred1_0) @ (push @ X1 @ id)))|~((epred1_0 @ X1)))), inference(condense,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_36])])])).
22.47/3.32	thf(c_0_60, negated_conjecture, (epred1_0 @ (lam @ (esk9_1 @ epred1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_59]), c_0_50])).
22.47/3.32	thf(c_0_61, negated_conjecture, ~((epred1_0 @ esk12_0)), inference(split_conjunct,[status(thm)],[c_0_30])).
22.47/3.32	thf(c_0_62, negated_conjecture, ![X1:term]:((epred1_0 @ X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_60])])).
22.47/3.32	thf(c_0_63, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61, c_0_62])]), ['proof']).
22.47/3.32	# SZS output end CNFRefutation
22.47/3.32	# Parsed axioms                        : 238
22.47/3.32	# Removed by relevancy pruning/SinE    : 0
22.47/3.32	# Initial clauses                      : 181
22.47/3.32	# Removed in clause preprocessing      : 124
22.47/3.32	# Initial clauses in saturation        : 57
22.47/3.32	# Processed clauses                    : 2889
22.47/3.32	# ...of these trivial                  : 201
22.47/3.32	# ...subsumed                          : 1508
22.47/3.32	# ...remaining for further processing  : 1180
22.47/3.32	# Other redundant clauses eliminated   : 0
22.47/3.32	# Clauses deleted for lack of memory   : 0
22.47/3.32	# Backward-subsumed                    : 98
22.47/3.32	# Backward-rewritten                   : 374
22.47/3.32	# Generated clauses                    : 103225
22.47/3.32	# ...of the previous two non-redundant : 96346
22.47/3.32	# ...aggressively subsumed             : 0
22.47/3.32	# Contextual simplify-reflections      : 61
22.47/3.32	# Paramodulations                      : 102854
22.47/3.32	# Factorizations                       : 348
22.47/3.32	# NegExts                              : 0
22.47/3.32	# Equation resolutions                 : 19
22.47/3.32	# Propositional unsat checks           : 0
22.47/3.32	#    Propositional check models        : 0
22.47/3.32	#    Propositional check unsatisfiable : 0
22.47/3.32	#    Propositional clauses             : 0
22.47/3.32	#    Propositional clauses after purity: 0
22.47/3.32	#    Propositional unsat core size     : 0
22.47/3.32	#    Propositional preprocessing time  : 0.000
22.47/3.32	#    Propositional encoding time       : 0.000
22.47/3.32	#    Propositional solver time         : 0.000
22.47/3.32	#    Success case prop preproc time    : 0.000
22.47/3.32	#    Success case prop encoding time   : 0.000
22.47/3.32	#    Success case prop solver time     : 0.000
22.47/3.32	# Current number of processed clauses  : 652
22.47/3.32	#    Positive orientable unit clauses  : 122
22.47/3.32	#    Positive unorientable unit clauses: 16
22.47/3.32	#    Negative unit clauses             : 9
22.47/3.32	#    Non-unit-clauses                  : 505
22.47/3.32	# Current number of unprocessed clauses: 93113
22.47/3.32	# ...number of literals in the above   : 833478
22.47/3.32	# Current number of archived formulas  : 0
22.47/3.32	# Current number of archived clauses   : 528
22.47/3.32	# Clause-clause subsumption calls (NU) : 167266
22.47/3.32	# Rec. Clause-clause subsumption calls : 9675
22.47/3.32	# Non-unit clause-clause subsumptions  : 1351
22.47/3.32	# Unit Clause-clause subsumption calls : 1582
22.47/3.32	# Rewrite failures with RHS unbound    : 0
22.47/3.32	# BW rewrite match attempts            : 6706
22.47/3.32	# BW rewrite match successes           : 320
22.47/3.32	# Condensation attempts                : 2889
22.47/3.32	# Condensation successes               : 303
22.47/3.32	# Termbank termtop insertions          : 4385472
22.47/3.32	
22.47/3.32	# -------------------------------------------------
22.47/3.32	# User time                : 2.718 s
22.47/3.32	# System time              : 0.078 s
22.47/3.32	# Total time               : 2.795 s
22.47/3.32	# Maximum resident set size: 6000 pages
22.47/3.32	
22.47/3.32	# -------------------------------------------------
22.47/3.32	# User time                : 2.725 s
22.47/3.32	# System time              : 0.081 s
22.47/3.32	# Total time               : 2.806 s
22.47/3.32	# Maximum resident set size: 2076 pages
22.47/3.34	EOF