0.03/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.10 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.09/0.31 % Computer : n001.cluster.edu 0.09/0.31 % Model : x86_64 x86_64 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.31 % Memory : 8042.1875MB 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.31 % CPULimit : 1920 0.09/0.31 % WCLimit : 240 0.09/0.31 % DateTime : Wed Jul 30 07:49:04 EDT 2025 0.09/0.31 % CPUTime : 0.16/0.43 Running higher-order theorem proving 0.16/0.46 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p 0.16/0.50 # Version: 3.0.0-ho 0.16/0.50 # Preprocessing class: HSMMSLSSLLLNHFA. 0.16/0.50 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.16/0.50 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.16/0.50 # Starting post_as_ho1 with 240s (1) cores 0.16/0.50 # Starting post_as_ho5 with 240s (1) cores 0.16/0.50 # Starting post_as_ho10 with 240s (1) cores 0.16/0.50 # post_as_ho5 with pid 27316 completed with status 0 0.16/0.50 # Result found by post_as_ho5 0.16/0.50 # Preprocessing class: HSMMSLSSLLLNHFA. 0.16/0.50 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.16/0.50 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.16/0.50 # Starting post_as_ho1 with 240s (1) cores 0.16/0.50 # Starting post_as_ho5 with 240s (1) cores 0.16/0.50 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 0.16/0.50 # Search class: HGHSM-FFLF31-MHFMMMBN 0.16/0.50 # Scheduled 5 strats onto 1 cores with 240 seconds (240 total) 0.16/0.50 # Starting post_as_ho12 with 80s (1) cores 0.16/0.50 # post_as_ho12 with pid 27318 completed with status 0 0.16/0.50 # Result found by post_as_ho12 0.16/0.50 # Preprocessing class: HSMMSLSSLLLNHFA. 0.16/0.50 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.16/0.50 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.16/0.50 # Starting post_as_ho1 with 240s (1) cores 0.16/0.50 # Starting post_as_ho5 with 240s (1) cores 0.16/0.50 # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true) 0.16/0.50 # Search class: HGHSM-FFLF31-MHFMMMBN 0.16/0.50 # Scheduled 5 strats onto 1 cores with 240 seconds (240 total) 0.16/0.50 # Starting post_as_ho12 with 80s (1) cores 0.16/0.50 # Preprocessing time : 0.006 s 0.16/0.50 # Presaturation interreduction done 0.16/0.50 0.16/0.50 # Proof found! 0.16/0.50 # SZS status Theorem 0.16/0.50 # SZS output start CNFRefutation 0.16/0.50 thf(decl_sort1, type, term: $tType). 0.16/0.50 thf(decl_sort2, type, subst: $tType). 0.16/0.50 thf(decl_23, type, one: term). 0.16/0.50 thf(decl_24, type, ap: term > term > term). 0.16/0.50 thf(decl_25, type, lam: term > term). 0.16/0.50 thf(decl_26, type, sub: term > subst > term). 0.16/0.50 thf(decl_27, type, id: subst). 0.16/0.50 thf(decl_28, type, sh: subst). 0.16/0.50 thf(decl_29, type, push: term > subst > subst). 0.16/0.50 thf(decl_30, type, comp: subst > subst > subst). 0.16/0.50 thf(decl_31, type, var: term > $o). 0.16/0.50 thf(decl_34, type, axmap: $o). 0.16/0.50 thf(decl_36, type, shinj: $o). 0.16/0.50 thf(decl_39, type, hoasap: subst > term > subst > term > term). 0.16/0.50 thf(decl_40, type, induction2lem: $o). 0.16/0.50 thf(decl_42, type, axvarshift: $o). 0.16/0.50 thf(decl_43, type, hoasapinj2: $o). 0.16/0.50 thf(decl_45, type, hoasapinj1: $o). 0.16/0.50 thf(decl_46, type, ulamvar1: $o). 0.16/0.50 thf(decl_49, type, apnotvar: $o). 0.16/0.50 thf(decl_54, type, hoaslaminj: $o). 0.16/0.50 thf(decl_59, type, hoasinduction_lem2: $o). 0.16/0.50 thf(decl_61, type, hoasinduction_lem1: $o). 0.16/0.50 thf(decl_64, type, hoasapnotvar: $o). 0.16/0.50 thf(decl_68, type, axapp: $o). 0.16/0.50 thf(decl_72, type, ulamvarind: $o). 0.16/0.50 thf(decl_73, type, induction: $o). 0.16/0.50 thf(decl_80, type, hoasinduction_lem3b_gthm: $o). 0.16/0.50 thf(decl_83, type, axclos: $o). 0.16/0.50 thf(decl_84, type, axassoc: $o). 0.16/0.50 thf(decl_87, type, apinj2: $o). 0.16/0.50 thf(decl_88, type, apinj1: $o). 0.16/0.50 thf(decl_93, type, axvarcons: $o). 0.16/0.50 thf(decl_94, type, hoaslam: subst > (subst > term > term) > term). 0.16/0.50 thf(decl_95, type, axscons: $o). 0.16/0.50 thf(decl_97, type, axidr: $o). 0.16/0.50 thf(decl_99, type, laminj: $o). 0.16/0.50 thf(decl_103, type, axabs: $o). 0.16/0.50 thf(decl_109, type, lamnotap: $o). 0.16/0.50 thf(decl_111, type, hoaslamnotvar: $o). 0.16/0.50 thf(decl_112, type, axidl: $o). 0.16/0.50 thf(decl_117, type, pushprop: $o). 0.16/0.50 thf(decl_120, type, hoasinduction_lem3b: $o). 0.16/0.50 thf(decl_121, type, substmonoid: $o). 0.16/0.50 thf(decl_122, type, lamnotvar: $o). 0.16/0.50 thf(decl_128, type, hoasvar: subst > term > subst > $o). 0.16/0.50 thf(decl_129, type, hoaslamnotap: $o). 0.16/0.50 thf(decl_131, type, ulamvarsh: $o). 0.16/0.50 thf(decl_132, type, induction2: $o). 0.16/0.50 thf(decl_137, type, axshiftcons: $o). 0.16/0.50 thf(decl_138, type, termmset: $o). 0.16/0.50 thf(decl_143, type, axvarid: $o). 0.16/0.50 thf(decl_145, type, esk1_1: (term > $o) > term). 0.16/0.50 thf(decl_146, type, esk2_1: (term > $o) > term). 0.16/0.50 thf(decl_147, type, esk3_1: (term > $o) > term). 0.16/0.50 thf(decl_148, type, esk4_1: (term > $o) > term). 0.16/0.50 thf(decl_149, type, esk5_1: (term > $o) > term). 0.16/0.50 thf(decl_150, type, esk6_3: (term > $o) > term > subst > term). 0.16/0.50 thf(decl_151, type, esk7_1: (term > $o) > term). 0.16/0.50 thf(decl_152, type, esk8_1: (term > $o) > term). 0.16/0.50 thf(decl_153, type, esk9_1: (term > $o) > term). 0.16/0.50 thf(decl_154, type, esk10_3: (term > $o) > term > subst > term). 0.16/0.50 thf(decl_155, type, esk11_1: (term > $o) > term). 0.16/0.50 thf(decl_156, type, esk12_1: (term > $o) > term). 0.16/0.50 thf(decl_157, type, esk13_1: (term > $o) > term). 0.16/0.50 thf(decl_158, type, esk14_1: (term > $o) > term). 0.16/0.50 thf(decl_159, type, esk15_1: (subst > term > term) > subst). 0.16/0.50 thf(decl_160, type, esk16_1: (subst > term > term) > term). 0.16/0.50 thf(decl_161, type, esk17_1: (subst > term > term) > subst). 0.16/0.50 thf(decl_162, type, esk18_2: (subst > term > term) > (subst > term > term) > subst). 0.16/0.50 thf(decl_163, type, esk19_2: (subst > term > term) > (subst > term > term) > term). 0.16/0.50 thf(decl_164, type, esk20_2: (subst > term > term) > (subst > term > term) > subst). 0.16/0.50 thf(decl_165, type, esk21_1: (subst > term > term) > subst). 0.16/0.50 thf(decl_166, type, esk22_1: (subst > term > term) > term). 0.16/0.50 thf(decl_167, type, esk23_1: (subst > term > term) > subst). 0.16/0.50 thf(decl_168, type, esk24_1: (subst > term > term) > subst). 0.16/0.50 thf(decl_169, type, esk25_1: (subst > term > term) > term). 0.16/0.50 thf(decl_170, type, esk26_1: (subst > term > term) > subst). 0.16/0.50 thf(decl_171, type, esk27_1: (subst > term > subst > $o) > subst). 0.16/0.50 thf(decl_172, type, esk28_1: (subst > term > subst > $o) > term). 0.16/0.50 thf(decl_173, type, esk29_1: (subst > term > subst > $o) > subst). 0.16/0.50 thf(decl_174, type, esk30_1: (subst > term > subst > $o) > subst). 0.16/0.50 thf(decl_175, type, esk31_1: (subst > term > subst > $o) > subst). 0.16/0.50 thf(decl_176, type, esk32_1: (subst > term > subst > $o) > term). 0.16/0.50 thf(decl_177, type, esk33_1: (subst > term > subst > $o) > subst). 0.16/0.50 thf(decl_178, type, esk34_1: (subst > term > subst > $o) > subst). 0.16/0.50 thf(decl_179, type, esk35_1: (subst > term > subst > $o) > term). 0.16/0.50 thf(decl_180, type, esk36_1: (subst > term > subst > $o) > subst). 0.16/0.50 thf(decl_181, type, esk37_1: (subst > term > subst > $o) > term). 0.16/0.50 thf(decl_182, type, esk38_1: (subst > term > subst > $o) > subst). 0.16/0.50 thf(decl_183, type, esk39_1: (subst > term > subst > $o) > subst). 0.16/0.50 thf(decl_184, type, esk40_1: (subst > term > subst > $o) > subst). 0.16/0.50 thf(decl_185, type, esk41_1: (subst > term > subst > $o) > term). 0.16/0.50 thf(decl_186, type, esk42_1: (subst > term > subst > $o) > subst). 0.16/0.50 thf(decl_187, type, esk43_1: (subst > term > subst > $o) > subst). 0.16/0.50 thf(decl_188, type, esk44_1: (subst > term > subst > $o) > term). 0.16/0.50 thf(decl_189, type, esk45_1: (subst > term > subst > $o) > term). 0.16/0.50 thf(decl_190, type, esk46_0: term). 0.16/0.50 thf(hoaslaminj, axiom, ((hoaslaminj)<=>![X12:subst > term > term]:((![X3:subst, X1:term, X4:subst]:(((sub @ (X12 @ X3 @ X1) @ X4)=(X12 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))))=>![X13:subst > term > term]:((![X3:subst, X1:term, X4:subst]:(((sub @ (X13 @ X3 @ X1) @ X4)=(X13 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))))=>(((hoaslam @ id @ (^[X3:subst, X1:term]:(X12 @ X3 @ X1)))=(hoaslam @ id @ (^[X3:subst, X1:term]:(X13 @ X3 @ X1))))=>![X3:subst, X1:term]:(((X12 @ X3 @ X1)=(X13 @ X3 @ X1))))))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', hoaslaminj)). 0.16/0.50 thf(hoaslamnotap, axiom, ((hoaslamnotap)<=>![X12:subst > term > term]:((![X3:subst, X1:term, X4:subst]:(((sub @ (X12 @ X3 @ X1) @ X4)=(X12 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))))=>![X1:term, X2:term]:(((hoaslam @ id @ (^[X3:subst, X7:term]:(X12 @ X3 @ X7)))!=(hoasap @ id @ X1 @ id @ X2)))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', hoaslamnotap)). 0.16/0.50 thf(hoaslamnotvar, axiom, ((hoaslamnotvar)<=>![X12:subst > term > term]:((![X3:subst, X1:term, X4:subst]:(((sub @ (X12 @ X3 @ X1) @ X4)=(X12 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))))=>~((hoasvar @ id @ (hoaslam @ id @ (^[X3:subst, X1:term]:(X12 @ X3 @ X1))) @ id))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', hoaslamnotvar)). 0.16/0.50 thf(hoasinduction_lem3b_gthm, axiom, ((hoasinduction_lem3b_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)=>((substmonoid)=>((termmset)=>((hoasapinj1)=>((hoasapinj2)=>((hoaslaminj)=>((hoaslamnotap)=>((hoaslamnotvar)=>((hoasapnotvar)=>((hoasinduction_lem1)=>((hoasinduction_lem2)=>(hoasinduction_lem3b)))))))))))))))))))))))))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', hoasinduction_lem3b_gthm)). 0.16/0.50 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/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', axapp)). 0.16/0.50 thf(axvarcons, axiom, ((axvarcons)<=>![X1:term, X3:subst]:(((sub @ one @ (push @ X1 @ X3))=(X1)))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', axvarcons)). 0.16/0.50 thf(axvarid, axiom, ((axvarid)<=>![X1:term]:(((sub @ X1 @ id)=(X1)))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', axvarid)). 0.16/0.50 thf(axabs, axiom, ((axabs)<=>![X1:term, X3:subst]:(((sub @ (lam @ X1) @ X3)=(lam @ (sub @ X1 @ (push @ one @ (comp @ X3 @ sh))))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', axabs)). 0.16/0.50 thf(axclos, axiom, ((axclos)<=>![X1:term, X3:subst, X4:subst]:(((sub @ (sub @ X1 @ X3) @ X4)=(sub @ X1 @ (comp @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', axclos)). 0.16/0.50 thf(axidl, axiom, ((axidl)<=>![X3:subst]:(((comp @ id @ X3)=(X3)))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', axidl)). 0.16/0.50 thf(axshiftcons, axiom, ((axshiftcons)<=>![X1:term, X3:subst]:(((comp @ sh @ (push @ X1 @ X3))=(X3)))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', axshiftcons)). 0.16/0.50 thf(axassoc, axiom, ((axassoc)<=>![X3:subst, X4:subst, X5:subst]:(((comp @ (comp @ X3 @ X4) @ X5)=(comp @ X3 @ (comp @ X4 @ X5))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', axassoc)). 0.16/0.50 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/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', axmap)). 0.16/0.50 thf(axidr, axiom, ((axidr)<=>![X3:subst]:(((comp @ X3 @ id)=(X3)))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', axidr)). 0.16/0.50 thf(axvarshift, axiom, ((axvarshift)<=>((push @ one @ sh)=(id))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', axvarshift)). 0.16/0.50 thf(axscons, axiom, ((axscons)<=>![X3:subst]:(((push @ (sub @ one @ X3) @ (comp @ sh @ X3))=(X3)))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', axscons)). 0.16/0.50 thf(ulamvar1, axiom, ((ulamvar1)<=>(var @ one)), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', ulamvar1)). 0.16/0.50 thf(ulamvarsh, axiom, ((ulamvarsh)<=>![X1:term]:(((var @ X1)=>(var @ (sub @ X1 @ sh))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', ulamvarsh)). 0.16/0.50 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/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', ulamvarind)). 0.16/0.50 thf(apinj1, axiom, ((apinj1)<=>![X1:term, X2:term, X7:term, X8:term]:((((ap @ X1 @ X7)=(ap @ X2 @ X8))=>((X1)=(X2))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', apinj1)). 0.16/0.50 thf(apinj2, axiom, ((apinj2)<=>![X1:term, X2:term, X7:term, X8:term]:((((ap @ X1 @ X7)=(ap @ X2 @ X8))=>((X7)=(X8))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', apinj2)). 0.16/0.50 thf(laminj, axiom, ((laminj)<=>![X1:term, X2:term]:((((lam @ X1)=(lam @ X2))=>((X1)=(X2))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', laminj)). 0.16/0.50 thf(shinj, axiom, ((shinj)<=>![X1:term, X2:term]:((((sub @ X1 @ sh)=(sub @ X2 @ sh))=>((X1)=(X2))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', shinj)). 0.16/0.50 thf(lamnotap, axiom, ((lamnotap)<=>![X1:term, X2:term, X7:term]:(((lam @ X1)!=(ap @ X2 @ X7)))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', lamnotap)). 0.16/0.50 thf(apnotvar, axiom, ((apnotvar)<=>![X1:term, X2:term]:(~((var @ (ap @ X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', apnotvar)). 0.16/0.50 thf(lamnotvar, axiom, ((lamnotvar)<=>![X1:term]:(~((var @ (lam @ X1))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', lamnotvar)). 0.16/0.50 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/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', induction)). 0.16/0.50 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/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', pushprop)). 0.16/0.50 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/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', induction2lem)). 0.16/0.50 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/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', induction2)). 0.16/0.50 thf(substmonoid, axiom, ((substmonoid)<=>((![X3:subst, X4:subst, X5:subst]:(((comp @ (comp @ X3 @ X4) @ X5)=(comp @ X3 @ (comp @ X4 @ X5))))&![X3:subst]:(((comp @ id @ X3)=(X3))))&![X3:subst]:(((comp @ X3 @ id)=(X3))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', substmonoid)). 0.16/0.50 thf(termmset, axiom, ((termmset)<=>(![X1:term, X3:subst, X4:subst]:(((sub @ (sub @ X1 @ X3) @ X4)=(sub @ X1 @ (comp @ X3 @ X4))))&![X1:term]:(((sub @ X1 @ id)=(X1))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', termmset)). 0.16/0.50 thf(hoasapinj1, axiom, ((hoasapinj1)<=>![X1:term, X2:term, X7:term, X8:term]:((((hoasap @ id @ X1 @ id @ X7)=(hoasap @ id @ X2 @ id @ X8))=>((X1)=(X2))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', hoasapinj1)). 0.16/0.50 thf(hoasapinj2, axiom, ((hoasapinj2)<=>![X1:term, X2:term, X7:term, X8:term]:((((hoasap @ id @ X1 @ id @ X7)=(hoasap @ id @ X2 @ id @ X8))=>((X7)=(X8))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', hoasapinj2)). 0.16/0.50 thf(hoasapnotvar, axiom, ((hoasapnotvar)<=>![X1:term, X2:term]:(~((hoasvar @ id @ (hoasap @ id @ X1 @ id @ X2) @ id)))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', hoasapnotvar)). 0.16/0.50 thf(hoasinduction_lem1, axiom, ((hoasinduction_lem1)<=>![X20:subst > term > subst > $o]:((![X3:subst, X1:term, X4:subst, X5:subst]:(((X20 @ X3 @ X1 @ (comp @ X5 @ X4))=>(X20 @ (comp @ X3 @ X5) @ (sub @ X1 @ X5) @ X4)))=>(![X3:subst, X1:term, X4:subst, X5:subst]:(((X20 @ (comp @ X3 @ X5) @ (sub @ X1 @ X5) @ X4)=>(X20 @ X3 @ X1 @ (comp @ X5 @ X4))))=>(![X1:term]:(((hoasvar @ id @ X1 @ id)=>(X20 @ id @ X1 @ id)))=>![X1:term]:(((var @ X1)=>(X20 @ id @ X1 @ id)))))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', hoasinduction_lem1)). 0.16/0.50 thf(hoasinduction_lem2, axiom, ((hoasinduction_lem2)<=>![X21:subst > term > subst > $o]:((![X3:subst, X1:term, X4:subst, X5:subst]:(((X21 @ X3 @ X1 @ (comp @ X5 @ X4))=>(X21 @ (comp @ X3 @ X5) @ (sub @ X1 @ X5) @ X4)))=>(![X3:subst, X1:term, X4:subst, X5:subst]:(((X21 @ (comp @ X3 @ X5) @ (sub @ X1 @ X5) @ X4)=>(X21 @ X3 @ X1 @ (comp @ X5 @ X4))))=>(![X1:term, X2:term]:(((X21 @ id @ X1 @ id)=>((X21 @ id @ X2 @ id)=>(X21 @ id @ (hoasap @ id @ X1 @ id @ X2) @ id))))=>![X1:term, X2:term]:(((X21 @ id @ X1 @ id)=>((X21 @ id @ X2 @ id)=>(X21 @ id @ (ap @ X1 @ X2) @ id))))))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', hoasinduction_lem2)). 0.16/0.50 thf(hoasinduction_lem3b, axiom, ((hoasinduction_lem3b)<=>![X2:term]:(?[X12:subst > term > term]:(((sub @ X2 @ (push @ one @ sh))=(X12 @ sh @ one))))), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', hoasinduction_lem3b)). 0.16/0.50 thf(thm, conjecture, (hoasinduction_lem3b_gthm), file('/export/starexec/sandbox/tmp/tmp.I2wJ9MDsln/E---3.1_27236.p', thm)). 0.16/0.50 thf(c_0_39, plain, ((hoaslaminj)<=>![X12:subst > term > term]:((![X3:subst, X1:term, X4:subst]:(((sub @ (X12 @ X3 @ X1) @ X4)=(X12 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))))=>![X13:subst > term > term]:((![X3:subst, X1:term, X4:subst]:(((sub @ (X13 @ X3 @ X1) @ X4)=(X13 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))))=>(((hoaslam @ id @ (^[Z0/* 19 */:subst, Z1:term]:(X12 @ Z0 @ Z1)))=(hoaslam @ id @ (^[Z0/* 19 */:subst, Z1:term]:(X13 @ Z0 @ Z1))))=>![X3:subst, X1:term]:(((X12 @ X3 @ X1)=(X13 @ X3 @ X1))))))))), inference(fof_simplification,[status(thm)],[hoaslaminj])). 0.16/0.50 thf(c_0_40, plain, ((hoaslamnotap)<=>![X12:subst > term > term]:((![X3:subst, X1:term, X4:subst]:(((sub @ (X12 @ X3 @ X1) @ X4)=(X12 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))))=>![X1:term, X2:term]:(((hoaslam @ id @ (^[Z0/* 19 */:subst, Z1:term]:(X12 @ Z0 @ Z1)))!=(hoasap @ id @ X1 @ id @ X2)))))), inference(fof_simplification,[status(thm)],[hoaslamnotap])). 0.16/0.50 thf(c_0_41, plain, ((hoaslamnotvar)<=>![X12:subst > term > term]:((![X3:subst, X1:term, X4:subst]:(((sub @ (X12 @ X3 @ X1) @ X4)=(X12 @ (comp @ X3 @ X4) @ (sub @ X1 @ X4))))=>~((hoasvar @ id @ (hoaslam @ id @ (^[Z0/* 19 */:subst, Z1:term]:(X12 @ Z0 @ Z1))) @ id))))), inference(fof_simplification,[status(thm)],[hoaslamnotvar])). 0.16/0.50 thf(c_0_42, axiom, ((hoasinduction_lem3b_gthm)=(((![X163:term, X164:term, X165:subst]:(((sub @ (ap @ X163 @ X164) @ X165)=(ap @ (sub @ X163 @ X165) @ (sub @ X164 @ X165)))))=>((![X166:term, X167:subst]:(((sub @ one @ (push @ X166 @ X167))=(X166))))=>((![X168:term]:(((sub @ X168 @ id)=(X168))))=>((![X169:term, X170:subst]:(((sub @ (lam @ X169) @ X170)=(lam @ (sub @ X169 @ (push @ one @ (comp @ X170 @ sh)))))))=>((![X171:term, X172:subst, X173:subst]:(((sub @ (sub @ X171 @ X172) @ X173)=(sub @ X171 @ (comp @ X172 @ X173)))))=>((![X174:subst]:(((comp @ id @ X174)=(X174))))=>((![X175:term, X176:subst]:(((comp @ sh @ (push @ X175 @ X176))=(X176))))=>((![X177:subst, X178:subst, X179:subst]:(((comp @ (comp @ X177 @ X178) @ X179)=(comp @ X177 @ (comp @ X178 @ X179)))))=>((![X180:term, X181:subst, X182:subst]:(((comp @ (push @ X180 @ X181) @ X182)=(push @ (sub @ X180 @ X182) @ (comp @ X181 @ X182)))))=>((![X183:subst]:(((comp @ X183 @ id)=(X183))))=>((((push @ one @ sh)=(id)))=>((![X184:subst]:(((push @ (sub @ one @ X184) @ (comp @ sh @ X184))=(X184))))=>(((var @ one))=>((![X185:term]:(((var @ X185)=>(var @ (sub @ X185 @ sh)))))=>((![X186:term > $o]:(((X186 @ one)=>(![X187:term]:(((var @ X187)=>((X186 @ X187)=>(X186 @ (sub @ X187 @ sh)))))=>![X188:term]:(((var @ X188)=>(X186 @ X188)))))))=>((![X189:term, X190:term, X191:term, X192:term]:((((ap @ X189 @ X191)=(ap @ X190 @ X192))=>((X189)=(X190)))))=>((![X193:term, X194:term, X195:term, X196:term]:((((ap @ X193 @ X195)=(ap @ X194 @ X196))=>((X195)=(X196)))))=>((![X197:term, X198:term]:((((lam @ X197)=(lam @ X198))=>((X197)=(X198)))))=>((![X199:term, X200:term]:((((sub @ X199 @ sh)=(sub @ X200 @ sh))=>((X199)=(X200)))))=>((![X201:term, X202:term, X203:term]:(((lam @ X201)!=(ap @ X202 @ X203))))=>((![X204:term, X205:term]:(~((var @ (ap @ X204 @ X205)))))=>((![X206:term]:(~((var @ (lam @ X206)))))=>((![X207:term > $o]:((![X208:term]:(((var @ X208)=>(X207 @ X208)))=>(![X209:term, X210:term]:(((X207 @ X209)=>((X207 @ X210)=>(X207 @ (ap @ X209 @ X210)))))=>(![X211:term]:(((X207 @ X211)=>(X207 @ (lam @ X211))))=>![X212:term]:((X207 @ X212)))))))=>((![X213:term > $o, X214:term, X215:subst]:((![X216:term]:(((var @ X216)=>(X213 @ (sub @ X216 @ X215))))=>((X213 @ X214)=>![X217:term]:(((var @ X217)=>(X213 @ (sub @ X217 @ (push @ X214 @ X215)))))))))=>((![X218:term > $o]:((![X219:term, X220:term]:(((X218 @ X219)=>((X218 @ X220)=>(X218 @ (ap @ X219 @ X220)))))=>(![X221:term]:((![X222:term]:(((X218 @ X222)=>(X218 @ (sub @ X221 @ (push @ X222 @ id)))))=>(X218 @ (lam @ X221))))=>![X223:term, X224:subst]:((![X225:term]:(((var @ X225)=>(X218 @ (sub @ X225 @ X224))))=>(X218 @ (sub @ X223 @ X224))))))))=>((![X226:term > $o]:((![X227:term]:(((var @ X227)=>(X226 @ X227)))=>(![X228:term, X229:term]:(((X226 @ X228)=>((X226 @ X229)=>(X226 @ (ap @ X228 @ X229)))))=>(![X230:term]:((![X231:term]:(((X226 @ X231)=>(X226 @ (sub @ X230 @ (push @ X231 @ id)))))=>(X226 @ (lam @ X230))))=>![X232:term]:((X226 @ X232)))))))=>((((![X233:subst, X234:subst, X235:subst]:(((comp @ (comp @ X233 @ X234) @ X235)=(comp @ X233 @ (comp @ X234 @ X235))))&![X236:subst]:(((comp @ id @ X236)=(X236))))&![X237:subst]:(((comp @ X237 @ id)=(X237)))))=>(((![X238:term, X239:subst, X240:subst]:(((sub @ (sub @ X238 @ X239) @ X240)=(sub @ X238 @ (comp @ X239 @ X240))))&![X241:term]:(((sub @ X241 @ id)=(X241)))))=>((![X242:term, X243:term, X244:term, X245:term]:((((hoasap @ id @ X242 @ id @ X244)=(hoasap @ id @ X243 @ id @ X245))=>((X242)=(X243)))))=>((![X246:term, X247:term, X248:term, X249:term]:((((hoasap @ id @ X246 @ id @ X248)=(hoasap @ id @ X247 @ id @ X249))=>((X248)=(X249)))))=>((![X250:subst > term > term]:((![X251:subst, X252:term, X253:subst]:(((sub @ (X250 @ X251 @ X252) @ X253)=(X250 @ (comp @ X251 @ X253) @ (sub @ X252 @ X253))))=>![X254:subst > term > term]:((![X255:subst, X256:term, X257:subst]:(((sub @ (X254 @ X255 @ X256) @ X257)=(X254 @ (comp @ X255 @ X257) @ (sub @ X256 @ X257))))=>(((hoaslam @ id @ (^[Z0/* 19 */:subst, Z1:term]:(X250 @ Z0 @ Z1)))=(hoaslam @ id @ (^[Z0/* 19 */:subst, Z1:term]:(X254 @ Z0 @ Z1))))=>![X258:subst, X259:term]:(((X250 @ X258 @ X259)=(X254 @ X258 @ X259)))))))))=>((![X260:subst > term > term]:((![X261:subst, X262:term, X263:subst]:(((sub @ (X260 @ X261 @ X262) @ X263)=(X260 @ (comp @ X261 @ X263) @ (sub @ X262 @ X263))))=>![X264:term, X265:term]:(((hoaslam @ id @ (^[Z0/* 19 */:subst, Z1:term]:(X260 @ Z0 @ Z1)))!=(hoasap @ id @ X264 @ id @ X265))))))=>((![X266:subst > term > term]:((![X267:subst, X268:term, X269:subst]:(((sub @ (X266 @ X267 @ X268) @ X269)=(X266 @ (comp @ X267 @ X269) @ (sub @ X268 @ X269))))=>~((hoasvar @ id @ (hoaslam @ id @ (^[Z0/* 19 */:subst, Z1:term]:(X266 @ Z0 @ Z1))) @ id)))))=>((![X270:term, X271:term]:(~((hoasvar @ id @ (hoasap @ id @ X270 @ id @ X271) @ id))))=>((![X272:subst > term > subst > $o]:((![X273:subst, X274:term, X275:subst, X276:subst]:(((X272 @ X273 @ X274 @ (comp @ X276 @ X275))=>(X272 @ (comp @ X273 @ X276) @ (sub @ X274 @ X276) @ X275)))=>(![X277:subst, X278:term, X279:subst, X280:subst]:(((X272 @ (comp @ X277 @ X280) @ (sub @ X278 @ X280) @ X279)=>(X272 @ X277 @ X278 @ (comp @ X280 @ X279))))=>(![X281:term]:(((hoasvar @ id @ X281 @ id)=>(X272 @ id @ X281 @ id)))=>![X282:term]:(((var @ X282)=>(X272 @ id @ X282 @ id))))))))=>((![X283:subst > term > subst > $o]:((![X284:subst, X285:term, X286:subst, X287:subst]:(((X283 @ X284 @ X285 @ (comp @ X287 @ X286))=>(X283 @ (comp @ X284 @ X287) @ (sub @ X285 @ X287) @ X286)))=>(![X288:subst, X289:term, X290:subst, X291:subst]:(((X283 @ (comp @ X288 @ X291) @ (sub @ X289 @ X291) @ X290)=>(X283 @ X288 @ X289 @ (comp @ X291 @ X290))))=>(![X292:term, X293:term]:(((X283 @ id @ X292 @ id)=>((X283 @ id @ X293 @ id)=>(X283 @ id @ (hoasap @ id @ X292 @ id @ X293) @ id))))=>![X294:term, X295:term]:(((X283 @ id @ X294 @ id)=>((X283 @ id @ X295 @ id)=>(X283 @ id @ (ap @ X294 @ X295) @ id)))))))))=>(![X296:term]:(?[X297:subst > term > term]:(((sub @ X296 @ (push @ one @ sh))=(X297 @ sh @ one))))))))))))))))))))))))))))))))))))))))))), 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)],[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)],[hoasinduction_lem3b_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]), substmonoid]), termmset]), hoasapinj1]), hoasapinj2]), c_0_39]), c_0_40]), c_0_41]), hoasapnotvar]), hoasinduction_lem1]), hoasinduction_lem2]), hoasinduction_lem3b])). 0.16/0.50 thf(c_0_43, negated_conjecture, ~((![X298:term, X299:term, X300:subst]:(((sub @ (ap @ X298 @ X299) @ X300)=(ap @ (sub @ X298 @ X300) @ (sub @ X299 @ X300))))=>(![X301:term, X302:subst]:(((sub @ one @ (push @ X301 @ X302))=(X301)))=>(![X303:term]:(((sub @ X303 @ id)=(X303)))=>(![X304:term, X305:subst]:(((sub @ (lam @ X304) @ X305)=(lam @ (sub @ X304 @ (push @ one @ (comp @ X305 @ sh))))))=>(![X306:term, X307:subst, X308:subst]:(((sub @ (sub @ X306 @ X307) @ X308)=(sub @ X306 @ (comp @ X307 @ X308))))=>(![X309:subst]:(((comp @ id @ X309)=(X309)))=>(![X310:term, X311:subst]:(((comp @ sh @ (push @ X310 @ X311))=(X311)))=>(![X312:subst, X313:subst, X314:subst]:(((comp @ (comp @ X312 @ X313) @ X314)=(comp @ X312 @ (comp @ X313 @ X314))))=>(![X315:term, X316:subst, X317:subst]:(((comp @ (push @ X315 @ X316) @ X317)=(push @ (sub @ X315 @ X317) @ (comp @ X316 @ X317))))=>(![X318:subst]:(((comp @ X318 @ id)=(X318)))=>(((push @ one @ sh)=(id))=>(![X319:subst]:(((push @ (sub @ one @ X319) @ (comp @ sh @ X319))=(X319)))=>((var @ one)=>(![X320:term]:(((var @ X320)=>(var @ (sub @ X320 @ sh))))=>(![X321:term > $o]:(((X321 @ one)=>(![X322:term]:(((var @ X322)=>((X321 @ X322)=>(X321 @ (sub @ X322 @ sh)))))=>![X323:term]:(((var @ X323)=>(X321 @ X323))))))=>(![X324:term, X325:term, X326:term, X327:term]:((((ap @ X324 @ X326)=(ap @ X325 @ X327))=>((X324)=(X325))))=>(![X328:term, X329:term, X330:term, X331:term]:((((ap @ X328 @ X330)=(ap @ X329 @ X331))=>((X330)=(X331))))=>(![X332:term, X333:term]:((((lam @ X332)=(lam @ X333))=>((X332)=(X333))))=>(![X334:term, X335:term]:((((sub @ X334 @ sh)=(sub @ X335 @ sh))=>((X334)=(X335))))=>(![X336:term, X337:term, X338:term]:(((lam @ X336)!=(ap @ X337 @ X338)))=>(![X339:term, X340:term]:(~(var @ (ap @ X339 @ X340)))=>(![X341:term]:(~(var @ (lam @ X341)))=>(![X342:term > $o]:((![X343:term]:(((var @ X343)=>(X342 @ X343)))=>(![X344:term, X345:term]:(((X342 @ X344)=>((X342 @ X345)=>(X342 @ (ap @ X344 @ X345)))))=>(![X346:term]:(((X342 @ X346)=>(X342 @ (lam @ X346))))=>![X347:term]:((X342 @ X347))))))=>(![X348:term > $o, X349:term, X350:subst]:((![X351:term]:(((var @ X351)=>(X348 @ (sub @ X351 @ X350))))=>((X348 @ X349)=>![X352:term]:(((var @ X352)=>(X348 @ (sub @ X352 @ (push @ X349 @ X350))))))))=>(![X353:term > $o]:((![X354:term, X355:term]:(((X353 @ X354)=>((X353 @ X355)=>(X353 @ (ap @ X354 @ X355)))))=>(![X356:term]:((![X357:term]:(((X353 @ X357)=>(X353 @ (sub @ X356 @ (push @ X357 @ id)))))=>(X353 @ (lam @ X356))))=>![X358:term, X359:subst]:((![X360:term]:(((var @ X360)=>(X353 @ (sub @ X360 @ X359))))=>(X353 @ (sub @ X358 @ X359)))))))=>(![X361:term > $o]:((![X362:term]:(((var @ X362)=>(X361 @ X362)))=>(![X363:term, X364:term]:(((X361 @ X363)=>((X361 @ X364)=>(X361 @ (ap @ X363 @ X364)))))=>(![X365:term]:((![X366:term]:(((X361 @ X366)=>(X361 @ (sub @ X365 @ (push @ X366 @ id)))))=>(X361 @ (lam @ X365))))=>![X367:term]:((X361 @ X367))))))=>(((![X368:subst, X369:subst, X370:subst]:(((comp @ (comp @ X368 @ X369) @ X370)=(comp @ X368 @ (comp @ X369 @ X370))))&![X371:subst]:(((comp @ id @ X371)=(X371))))&![X372:subst]:(((comp @ X372 @ id)=(X372))))=>((![X373:term, X374:subst, X375:subst]:(((sub @ (sub @ X373 @ X374) @ X375)=(sub @ X373 @ (comp @ X374 @ X375))))&![X376:term]:(((sub @ X376 @ id)=(X376))))=>(![X377:term, X378:term, X379:term, X380:term]:((((hoasap @ id @ X377 @ id @ X379)=(hoasap @ id @ X378 @ id @ X380))=>((X377)=(X378))))=>(![X381:term, X382:term, X383:term, X384:term]:((((hoasap @ id @ X381 @ id @ X383)=(hoasap @ id @ X382 @ id @ X384))=>((X383)=(X384))))=>(![X385:subst > term > term]:((![X386:subst, X387:term, X388:subst]:(((sub @ (X385 @ X386 @ X387) @ X388)=(X385 @ (comp @ X386 @ X388) @ (sub @ X387 @ X388))))=>![X389:subst > term > term]:((![X390:subst, X391:term, X392:subst]:(((sub @ (X389 @ X390 @ X391) @ X392)=(X389 @ (comp @ X390 @ X392) @ (sub @ X391 @ X392))))=>(((hoaslam @ id @ X385)=(hoaslam @ id @ X389))=>![X393:subst, X394:term]:(((X385 @ X393 @ X394)=(X389 @ X393 @ X394))))))))=>(![X395:subst > term > term]:((![X396:subst, X397:term, X398:subst]:(((sub @ (X395 @ X396 @ X397) @ X398)=(X395 @ (comp @ X396 @ X398) @ (sub @ X397 @ X398))))=>![X399:term, X400:term]:(((hoaslam @ id @ X395)!=(hoasap @ id @ X399 @ id @ X400)))))=>(![X401:subst > term > term]:((![X402:subst, X403:term, X404:subst]:(((sub @ (X401 @ X402 @ X403) @ X404)=(X401 @ (comp @ X402 @ X404) @ (sub @ X403 @ X404))))=>~(hoasvar @ id @ (hoaslam @ id @ X401) @ id)))=>(![X405:term, X406:term]:(~(hoasvar @ id @ (hoasap @ id @ X405 @ id @ X406) @ id))=>(![X407:subst > term > subst > $o]:((![X408:subst, X409:term, X410:subst, X411:subst]:(((X407 @ X408 @ X409 @ (comp @ X411 @ X410))=>(X407 @ (comp @ X408 @ X411) @ (sub @ X409 @ X411) @ X410)))=>(![X412:subst, X413:term, X414:subst, X415:subst]:(((X407 @ (comp @ X412 @ X415) @ (sub @ X413 @ X415) @ X414)=>(X407 @ X412 @ X413 @ (comp @ X415 @ X414))))=>(![X416:term]:(((hoasvar @ id @ X416 @ id)=>(X407 @ id @ X416 @ id)))=>![X417:term]:(((var @ X417)=>(X407 @ id @ X417 @ id)))))))=>(![X418:subst > term > subst > $o]:((![X419:subst, X420:term, X421:subst, X422:subst]:(((X418 @ X419 @ X420 @ (comp @ X422 @ X421))=>(X418 @ (comp @ X419 @ X422) @ (sub @ X420 @ X422) @ X421)))=>(![X423:subst, X424:term, X425:subst, X426:subst]:(((X418 @ (comp @ X423 @ X426) @ (sub @ X424 @ X426) @ X425)=>(X418 @ X423 @ X424 @ (comp @ X426 @ X425))))=>(![X427:term, X428:term]:(((X418 @ id @ X427 @ id)=>((X418 @ id @ X428 @ id)=>(X418 @ id @ (hoasap @ id @ X427 @ id @ X428) @ id))))=>![X429:term, X430:term]:(((X418 @ id @ X429 @ id)=>((X418 @ id @ X430 @ id)=>(X418 @ id @ (ap @ X429 @ X430) @ id))))))))=>![X431:term]:(?[X432:subst > term > term]:(((sub @ X431 @ (push @ one @ sh))=(X432 @ sh @ one))))))))))))))))))))))))))))))))))))))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[thm]), c_0_42])])])). 0.16/0.50 thf(c_0_44, negated_conjecture, ![X433:term, X434:term, X435:subst, X436:term, X437:subst, X438:term, X439:term, X440:subst, X441:term, X442:subst, X443:subst, X444:subst, X445:term, X446:subst, X447:subst, X448:subst, X449:subst, X450:term, X451:subst, X452:subst, X453:subst, X454:subst, X455:term, X456:term > $o, X458:term, X459:term, X460:term, X461:term, X462:term, X463:term, X464:term, X465:term, X466:term, X467:term, X468:term, X469:term, X470:term, X471:term, X472:term, X473:term, X474:term, X475:term, X476:term, X477:term > $o, X482:term, X483:term > $o, X484:term, X485:subst, X487:term, X488:term > $o, X492:term, X493:term, X494:subst, X496:term > $o, X501:term, X502:term, X503:subst, X504:subst, X505:subst, X506:subst, X507:subst, X508:term, X509:subst, X510:subst, X511:term, X512:term, X513:term, X514:term, X515:term, X516:term, X517:term, X518:term, X519:term, X520:subst > term > term, X524:subst > term > term, X528:subst, X529:term, X530:subst > term > term, X534:term, X535:term, X536:subst > term > term, X540:term, X541:term, X542:subst > term > subst > $o, X552:term, X553:subst > term > subst > $o, X564:term, X565:term, X567:subst > term > term]:((((sub @ (ap @ X433 @ X434) @ X435)=(ap @ (sub @ X433 @ X435) @ (sub @ X434 @ X435)))&(((sub @ one @ (push @ X436 @ X437))=(X436))&(((sub @ X438 @ id)=(X438))&(((sub @ (lam @ X439) @ X440)=(lam @ (sub @ X439 @ (push @ one @ (comp @ X440 @ sh)))))&(((sub @ (sub @ X441 @ X442) @ X443)=(sub @ X441 @ (comp @ X442 @ X443)))&(((comp @ id @ X444)=(X444))&(((comp @ sh @ (push @ X445 @ X446))=(X446))&(((comp @ (comp @ X447 @ X448) @ X449)=(comp @ X447 @ (comp @ X448 @ X449)))&(((comp @ (push @ X450 @ X451) @ X452)=(push @ (sub @ X450 @ X452) @ (comp @ X451 @ X452)))&(((comp @ X453 @ id)=(X453))&(((push @ one @ sh)=(id))&(((push @ (sub @ one @ X454) @ (comp @ sh @ X454))=(X454))&((var @ one)&((~(var @ X455)|(var @ (sub @ X455 @ sh)))&((((var @ (esk1_1 @ X456))|(~(var @ X458)|(X456 @ X458))|~(X456 @ one))&(((X456 @ (esk1_1 @ X456))|(~(var @ X458)|(X456 @ X458))|~(X456 @ one))&(~(X456 @ (sub @ (esk1_1 @ X456) @ sh))|(~(var @ X458)|(X456 @ X458))|~(X456 @ one))))&((((ap @ X459 @ X461)!=(ap @ X460 @ X462))|((X459)=(X460)))&((((ap @ X463 @ X465)!=(ap @ X464 @ X466))|((X465)=(X466)))&((((lam @ X467)!=(lam @ X468))|((X467)=(X468)))&((((sub @ X469 @ sh)!=(sub @ X470 @ sh))|((X469)=(X470)))&(((lam @ X471)!=(ap @ X472 @ X473))&(~(var @ (ap @ X474 @ X475))&(~(var @ (lam @ X476))&((((((X477 @ (esk5_1 @ X477))|(X477 @ X482)|(X477 @ (esk3_1 @ X477))|(var @ (esk2_1 @ X477)))&(~(X477 @ (lam @ (esk5_1 @ X477)))|(X477 @ X482)|(X477 @ (esk3_1 @ X477))|(var @ (esk2_1 @ X477))))&((((X477 @ (esk5_1 @ X477))|(X477 @ X482)|(X477 @ (esk4_1 @ X477))|(var @ (esk2_1 @ X477)))&(~(X477 @ (lam @ (esk5_1 @ X477)))|(X477 @ X482)|(X477 @ (esk4_1 @ X477))|(var @ (esk2_1 @ X477))))&(((X477 @ (esk5_1 @ X477))|(X477 @ X482)|~(X477 @ (ap @ (esk3_1 @ X477) @ (esk4_1 @ X477)))|(var @ (esk2_1 @ X477)))&(~(X477 @ (lam @ (esk5_1 @ X477)))|(X477 @ X482)|~(X477 @ (ap @ (esk3_1 @ X477) @ (esk4_1 @ X477)))|(var @ (esk2_1 @ X477))))))&((((X477 @ (esk5_1 @ X477))|(X477 @ X482)|(X477 @ (esk3_1 @ X477))|~(X477 @ (esk2_1 @ X477)))&(~(X477 @ (lam @ (esk5_1 @ X477)))|(X477 @ X482)|(X477 @ (esk3_1 @ X477))|~(X477 @ (esk2_1 @ X477))))&((((X477 @ (esk5_1 @ X477))|(X477 @ X482)|(X477 @ (esk4_1 @ X477))|~(X477 @ (esk2_1 @ X477)))&(~(X477 @ (lam @ (esk5_1 @ X477)))|(X477 @ X482)|(X477 @ (esk4_1 @ X477))|~(X477 @ (esk2_1 @ X477))))&(((X477 @ (esk5_1 @ X477))|(X477 @ X482)|~(X477 @ (ap @ (esk3_1 @ X477) @ (esk4_1 @ X477)))|~(X477 @ (esk2_1 @ X477)))&(~(X477 @ (lam @ (esk5_1 @ X477)))|(X477 @ X482)|~(X477 @ (ap @ (esk3_1 @ X477) @ (esk4_1 @ X477)))|~(X477 @ (esk2_1 @ X477)))))))&((((var @ (esk6_3 @ X483 @ X484 @ X485))|(~(X483 @ X484)|(~(var @ X487)|(X483 @ (sub @ X487 @ (push @ X484 @ X485))))))&(~(X483 @ (sub @ (esk6_3 @ X483 @ X484 @ X485) @ X485))|(~(X483 @ X484)|(~(var @ X487)|(X483 @ (sub @ X487 @ (push @ X484 @ X485)))))))&((((((var @ (esk10_3 @ X488 @ X493 @ X494))|(X488 @ (sub @ X493 @ X494))|(~(X488 @ X492)|(X488 @ (sub @ (esk9_1 @ X488) @ (push @ X492 @ id))))|(X488 @ (esk7_1 @ X488)))&(~(X488 @ (sub @ (esk10_3 @ X488 @ X493 @ X494) @ X494))|(X488 @ (sub @ X493 @ X494))|(~(X488 @ X492)|(X488 @ (sub @ (esk9_1 @ X488) @ (push @ X492 @ id))))|(X488 @ (esk7_1 @ X488))))&(((var @ (esk10_3 @ X488 @ X493 @ X494))|(X488 @ (sub @ X493 @ X494))|~(X488 @ (lam @ (esk9_1 @ X488)))|(X488 @ (esk7_1 @ X488)))&(~(X488 @ (sub @ (esk10_3 @ X488 @ X493 @ X494) @ X494))|(X488 @ (sub @ X493 @ X494))|~(X488 @ (lam @ (esk9_1 @ X488)))|(X488 @ (esk7_1 @ X488)))))&(((((var @ (esk10_3 @ X488 @ X493 @ X494))|(X488 @ (sub @ X493 @ X494))|(~(X488 @ X492)|(X488 @ (sub @ (esk9_1 @ X488) @ (push @ X492 @ id))))|(X488 @ (esk8_1 @ X488)))&(~(X488 @ (sub @ (esk10_3 @ X488 @ X493 @ X494) @ X494))|(X488 @ (sub @ X493 @ X494))|(~(X488 @ X492)|(X488 @ (sub @ (esk9_1 @ X488) @ (push @ X492 @ id))))|(X488 @ (esk8_1 @ X488))))&(((var @ (esk10_3 @ X488 @ X493 @ X494))|(X488 @ (sub @ X493 @ X494))|~(X488 @ (lam @ (esk9_1 @ X488)))|(X488 @ (esk8_1 @ X488)))&(~(X488 @ (sub @ (esk10_3 @ X488 @ X493 @ X494) @ X494))|(X488 @ (sub @ X493 @ X494))|~(X488 @ (lam @ (esk9_1 @ X488)))|(X488 @ (esk8_1 @ X488)))))&((((var @ (esk10_3 @ X488 @ X493 @ X494))|(X488 @ (sub @ X493 @ X494))|(~(X488 @ X492)|(X488 @ (sub @ (esk9_1 @ X488) @ (push @ X492 @ id))))|~(X488 @ (ap @ (esk7_1 @ X488) @ (esk8_1 @ X488))))&(~(X488 @ (sub @ (esk10_3 @ X488 @ X493 @ X494) @ X494))|(X488 @ (sub @ X493 @ X494))|(~(X488 @ X492)|(X488 @ (sub @ (esk9_1 @ X488) @ (push @ X492 @ id))))|~(X488 @ (ap @ (esk7_1 @ X488) @ (esk8_1 @ X488)))))&(((var @ (esk10_3 @ X488 @ X493 @ X494))|(X488 @ (sub @ X493 @ X494))|~(X488 @ (lam @ (esk9_1 @ X488)))|~(X488 @ (ap @ (esk7_1 @ X488) @ (esk8_1 @ X488))))&(~(X488 @ (sub @ (esk10_3 @ X488 @ X493 @ X494) @ X494))|(X488 @ (sub @ X493 @ X494))|~(X488 @ (lam @ (esk9_1 @ X488)))|~(X488 @ (ap @ (esk7_1 @ X488) @ (esk8_1 @ X488))))))))&(((((~(X496 @ X501)|(X496 @ (sub @ (esk14_1 @ X496) @ (push @ X501 @ id)))|(X496 @ X502)|(X496 @ (esk12_1 @ X496))|(var @ (esk11_1 @ X496)))&(~(X496 @ (lam @ (esk14_1 @ X496)))|(X496 @ X502)|(X496 @ (esk12_1 @ X496))|(var @ (esk11_1 @ X496))))&(((~(X496 @ X501)|(X496 @ (sub @ (esk14_1 @ X496) @ (push @ X501 @ id)))|(X496 @ X502)|(X496 @ (esk13_1 @ X496))|(var @ (esk11_1 @ X496)))&(~(X496 @ (lam @ (esk14_1 @ X496)))|(X496 @ X502)|(X496 @ (esk13_1 @ X496))|(var @ (esk11_1 @ X496))))&((~(X496 @ X501)|(X496 @ (sub @ (esk14_1 @ X496) @ (push @ X501 @ id)))|(X496 @ X502)|~(X496 @ (ap @ (esk12_1 @ X496) @ (esk13_1 @ X496)))|(var @ (esk11_1 @ X496)))&(~(X496 @ (lam @ (esk14_1 @ X496)))|(X496 @ X502)|~(X496 @ (ap @ (esk12_1 @ X496) @ (esk13_1 @ X496)))|(var @ (esk11_1 @ X496))))))&(((~(X496 @ X501)|(X496 @ (sub @ (esk14_1 @ X496) @ (push @ X501 @ id)))|(X496 @ X502)|(X496 @ (esk12_1 @ X496))|~(X496 @ (esk11_1 @ X496)))&(~(X496 @ (lam @ (esk14_1 @ X496)))|(X496 @ X502)|(X496 @ (esk12_1 @ X496))|~(X496 @ (esk11_1 @ X496))))&(((~(X496 @ X501)|(X496 @ (sub @ (esk14_1 @ X496) @ (push @ X501 @ id)))|(X496 @ X502)|(X496 @ (esk13_1 @ X496))|~(X496 @ (esk11_1 @ X496)))&(~(X496 @ (lam @ (esk14_1 @ X496)))|(X496 @ X502)|(X496 @ (esk13_1 @ X496))|~(X496 @ (esk11_1 @ X496))))&((~(X496 @ X501)|(X496 @ (sub @ (esk14_1 @ X496) @ (push @ X501 @ id)))|(X496 @ X502)|~(X496 @ (ap @ (esk12_1 @ X496) @ (esk13_1 @ X496)))|~(X496 @ (esk11_1 @ X496)))&(~(X496 @ (lam @ (esk14_1 @ X496)))|(X496 @ X502)|~(X496 @ (ap @ (esk12_1 @ X496) @ (esk13_1 @ X496)))|~(X496 @ (esk11_1 @ X496)))))))&(((((comp @ (comp @ X503 @ X504) @ X505)=(comp @ X503 @ (comp @ X504 @ X505)))&((comp @ id @ X506)=(X506)))&((comp @ X507 @ id)=(X507)))&((((sub @ (sub @ X508 @ X509) @ X510)=(sub @ X508 @ (comp @ X509 @ X510)))&((sub @ X511 @ id)=(X511)))&((((hoasap @ id @ X512 @ id @ X514)!=(hoasap @ id @ X513 @ id @ X515))|((X512)=(X513)))&((((hoasap @ id @ X516 @ id @ X518)!=(hoasap @ id @ X517 @ id @ X519))|((X518)=(X519)))&((((sub @ (X520 @ (esk15_1 @ X520) @ (esk16_1 @ X520)) @ (esk17_1 @ X520))!=(X520 @ (comp @ (esk15_1 @ X520) @ (esk17_1 @ X520)) @ (sub @ (esk16_1 @ X520) @ (esk17_1 @ X520))))|(((sub @ (X524 @ (esk18_2 @ X520 @ X524) @ (esk19_2 @ X520 @ X524)) @ (esk20_2 @ X520 @ X524))!=(X524 @ (comp @ (esk18_2 @ X520 @ X524) @ (esk20_2 @ X520 @ X524)) @ (sub @ (esk19_2 @ X520 @ X524) @ (esk20_2 @ X520 @ X524))))|(((hoaslam @ id @ X520)!=(hoaslam @ id @ X524))|((X520 @ X528 @ X529)=(X524 @ X528 @ X529)))))&((((sub @ (X530 @ (esk21_1 @ X530) @ (esk22_1 @ X530)) @ (esk23_1 @ X530))!=(X530 @ (comp @ (esk21_1 @ X530) @ (esk23_1 @ X530)) @ (sub @ (esk22_1 @ X530) @ (esk23_1 @ X530))))|((hoaslam @ id @ X530)!=(hoasap @ id @ X534 @ id @ X535)))&((((sub @ (X536 @ (esk24_1 @ X536) @ (esk25_1 @ X536)) @ (esk26_1 @ X536))!=(X536 @ (comp @ (esk24_1 @ X536) @ (esk26_1 @ X536)) @ (sub @ (esk25_1 @ X536) @ (esk26_1 @ X536))))|~(hoasvar @ id @ (hoaslam @ id @ X536) @ id))&(~(hoasvar @ id @ (hoasap @ id @ X540 @ id @ X541) @ id)&((((((hoasvar @ id @ (esk35_1 @ X542) @ id)|(~(var @ X552)|(X542 @ id @ X552 @ id))|(X542 @ (comp @ (esk31_1 @ X542) @ (esk34_1 @ X542)) @ (sub @ (esk32_1 @ X542) @ (esk34_1 @ X542)) @ (esk33_1 @ X542))|(X542 @ (esk27_1 @ X542) @ (esk28_1 @ X542) @ (comp @ (esk30_1 @ X542) @ (esk29_1 @ X542))))&(~(X542 @ id @ (esk35_1 @ X542) @ id)|(~(var @ X552)|(X542 @ id @ X552 @ id))|(X542 @ (comp @ (esk31_1 @ X542) @ (esk34_1 @ X542)) @ (sub @ (esk32_1 @ X542) @ (esk34_1 @ X542)) @ (esk33_1 @ X542))|(X542 @ (esk27_1 @ X542) @ (esk28_1 @ X542) @ (comp @ (esk30_1 @ X542) @ (esk29_1 @ X542)))))&(((hoasvar @ id @ (esk35_1 @ X542) @ id)|(~(var @ X552)|(X542 @ id @ X552 @ id))|~(X542 @ (esk31_1 @ X542) @ (esk32_1 @ X542) @ (comp @ (esk34_1 @ X542) @ (esk33_1 @ X542)))|(X542 @ (esk27_1 @ X542) @ (esk28_1 @ X542) @ (comp @ (esk30_1 @ X542) @ (esk29_1 @ X542))))&(~(X542 @ id @ (esk35_1 @ X542) @ id)|(~(var @ X552)|(X542 @ id @ X552 @ id))|~(X542 @ (esk31_1 @ X542) @ (esk32_1 @ X542) @ (comp @ (esk34_1 @ X542) @ (esk33_1 @ X542)))|(X542 @ (esk27_1 @ X542) @ (esk28_1 @ X542) @ (comp @ (esk30_1 @ X542) @ (esk29_1 @ X542))))))&((((hoasvar @ id @ (esk35_1 @ X542) @ id)|(~(var @ X552)|(X542 @ id @ X552 @ id))|(X542 @ (comp @ (esk31_1 @ X542) @ (esk34_1 @ X542)) @ (sub @ (esk32_1 @ X542) @ (esk34_1 @ X542)) @ (esk33_1 @ X542))|~(X542 @ (comp @ (esk27_1 @ X542) @ (esk30_1 @ X542)) @ (sub @ (esk28_1 @ X542) @ (esk30_1 @ X542)) @ (esk29_1 @ X542)))&(~(X542 @ id @ (esk35_1 @ X542) @ id)|(~(var @ X552)|(X542 @ id @ X552 @ id))|(X542 @ (comp @ (esk31_1 @ X542) @ (esk34_1 @ X542)) @ (sub @ (esk32_1 @ X542) @ (esk34_1 @ X542)) @ (esk33_1 @ X542))|~(X542 @ (comp @ (esk27_1 @ X542) @ (esk30_1 @ X542)) @ (sub @ (esk28_1 @ X542) @ (esk30_1 @ X542)) @ (esk29_1 @ X542))))&(((hoasvar @ id @ (esk35_1 @ X542) @ id)|(~(var @ X552)|(X542 @ id @ X552 @ id))|~(X542 @ (esk31_1 @ X542) @ (esk32_1 @ X542) @ (comp @ (esk34_1 @ X542) @ (esk33_1 @ X542)))|~(X542 @ (comp @ (esk27_1 @ X542) @ (esk30_1 @ X542)) @ (sub @ (esk28_1 @ X542) @ (esk30_1 @ X542)) @ (esk29_1 @ X542)))&(~(X542 @ id @ (esk35_1 @ X542) @ id)|(~(var @ X552)|(X542 @ id @ X552 @ id))|~(X542 @ (esk31_1 @ X542) @ (esk32_1 @ X542) @ (comp @ (esk34_1 @ X542) @ (esk33_1 @ X542)))|~(X542 @ (comp @ (esk27_1 @ X542) @ (esk30_1 @ X542)) @ (sub @ (esk28_1 @ X542) @ (esk30_1 @ X542)) @ (esk29_1 @ X542))))))&((((((X553 @ id @ (esk44_1 @ X553) @ id)|(~(X553 @ id @ X564 @ id)|(~(X553 @ id @ X565 @ id)|(X553 @ id @ (ap @ X564 @ X565) @ id)))|(X553 @ (comp @ (esk40_1 @ X553) @ (esk43_1 @ X553)) @ (sub @ (esk41_1 @ X553) @ (esk43_1 @ X553)) @ (esk42_1 @ X553))|(X553 @ (esk36_1 @ X553) @ (esk37_1 @ X553) @ (comp @ (esk39_1 @ X553) @ (esk38_1 @ X553))))&(((X553 @ id @ (esk45_1 @ X553) @ id)|(~(X553 @ id @ X564 @ id)|(~(X553 @ id @ X565 @ id)|(X553 @ id @ (ap @ X564 @ X565) @ id)))|(X553 @ (comp @ (esk40_1 @ X553) @ (esk43_1 @ X553)) @ (sub @ (esk41_1 @ X553) @ (esk43_1 @ X553)) @ (esk42_1 @ X553))|(X553 @ (esk36_1 @ X553) @ (esk37_1 @ X553) @ (comp @ (esk39_1 @ X553) @ (esk38_1 @ X553))))&(~(X553 @ id @ (hoasap @ id @ (esk44_1 @ X553) @ id @ (esk45_1 @ X553)) @ id)|(~(X553 @ id @ X564 @ id)|(~(X553 @ id @ X565 @ id)|(X553 @ id @ (ap @ X564 @ X565) @ id)))|(X553 @ (comp @ (esk40_1 @ X553) @ (esk43_1 @ X553)) @ (sub @ (esk41_1 @ X553) @ (esk43_1 @ X553)) @ (esk42_1 @ X553))|(X553 @ (esk36_1 @ X553) @ (esk37_1 @ X553) @ (comp @ (esk39_1 @ X553) @ (esk38_1 @ X553))))))&(((X553 @ id @ (esk44_1 @ X553) @ id)|(~(X553 @ id @ X564 @ id)|(~(X553 @ id @ X565 @ id)|(X553 @ id @ (ap @ X564 @ X565) @ id)))|~(X553 @ (esk40_1 @ X553) @ (esk41_1 @ X553) @ (comp @ (esk43_1 @ X553) @ (esk42_1 @ X553)))|(X553 @ (esk36_1 @ X553) @ (esk37_1 @ X553) @ (comp @ (esk39_1 @ X553) @ (esk38_1 @ X553))))&(((X553 @ id @ (esk45_1 @ X553) @ id)|(~(X553 @ id @ X564 @ id)|(~(X553 @ id @ X565 @ id)|(X553 @ id @ (ap @ X564 @ X565) @ id)))|~(X553 @ (esk40_1 @ X553) @ (esk41_1 @ X553) @ (comp @ (esk43_1 @ X553) @ (esk42_1 @ X553)))|(X553 @ (esk36_1 @ X553) @ (esk37_1 @ X553) @ (comp @ (esk39_1 @ X553) @ (esk38_1 @ X553))))&(~(X553 @ id @ (hoasap @ id @ (esk44_1 @ X553) @ id @ (esk45_1 @ X553)) @ id)|(~(X553 @ id @ X564 @ id)|(~(X553 @ id @ X565 @ id)|(X553 @ id @ (ap @ X564 @ X565) @ id)))|~(X553 @ (esk40_1 @ X553) @ (esk41_1 @ X553) @ (comp @ (esk43_1 @ X553) @ (esk42_1 @ X553)))|(X553 @ (esk36_1 @ X553) @ (esk37_1 @ X553) @ (comp @ (esk39_1 @ X553) @ (esk38_1 @ X553)))))))&((((X553 @ id @ (esk44_1 @ X553) @ id)|(~(X553 @ id @ X564 @ id)|(~(X553 @ id @ X565 @ id)|(X553 @ id @ (ap @ X564 @ X565) @ id)))|(X553 @ (comp @ (esk40_1 @ X553) @ (esk43_1 @ X553)) @ (sub @ (esk41_1 @ X553) @ (esk43_1 @ X553)) @ (esk42_1 @ X553))|~(X553 @ (comp @ (esk36_1 @ X553) @ (esk39_1 @ X553)) @ (sub @ (esk37_1 @ X553) @ (esk39_1 @ X553)) @ (esk38_1 @ X553)))&(((X553 @ id @ (esk45_1 @ X553) @ id)|(~(X553 @ id @ X564 @ id)|(~(X553 @ id @ X565 @ id)|(X553 @ id @ (ap @ X564 @ X565) @ id)))|(X553 @ (comp @ (esk40_1 @ X553) @ (esk43_1 @ X553)) @ (sub @ (esk41_1 @ X553) @ (esk43_1 @ X553)) @ (esk42_1 @ X553))|~(X553 @ (comp @ (esk36_1 @ X553) @ (esk39_1 @ X553)) @ (sub @ (esk37_1 @ X553) @ (esk39_1 @ X553)) @ (esk38_1 @ X553)))&(~(X553 @ id @ (hoasap @ id @ (esk44_1 @ X553) @ id @ (esk45_1 @ X553)) @ id)|(~(X553 @ id @ X564 @ id)|(~(X553 @ id @ X565 @ id)|(X553 @ id @ (ap @ X564 @ X565) @ id)))|(X553 @ (comp @ (esk40_1 @ X553) @ (esk43_1 @ X553)) @ (sub @ (esk41_1 @ X553) @ (esk43_1 @ X553)) @ (esk42_1 @ X553))|~(X553 @ (comp @ (esk36_1 @ X553) @ (esk39_1 @ X553)) @ (sub @ (esk37_1 @ X553) @ (esk39_1 @ X553)) @ (esk38_1 @ X553)))))&(((X553 @ id @ (esk44_1 @ X553) @ id)|(~(X553 @ id @ X564 @ id)|(~(X553 @ id @ X565 @ id)|(X553 @ id @ (ap @ X564 @ X565) @ id)))|~(X553 @ (esk40_1 @ X553) @ (esk41_1 @ X553) @ (comp @ (esk43_1 @ X553) @ (esk42_1 @ X553)))|~(X553 @ (comp @ (esk36_1 @ X553) @ (esk39_1 @ X553)) @ (sub @ (esk37_1 @ X553) @ (esk39_1 @ X553)) @ (esk38_1 @ X553)))&(((X553 @ id @ (esk45_1 @ X553) @ id)|(~(X553 @ id @ X564 @ id)|(~(X553 @ id @ X565 @ id)|(X553 @ id @ (ap @ X564 @ X565) @ id)))|~(X553 @ (esk40_1 @ X553) @ (esk41_1 @ X553) @ (comp @ (esk43_1 @ X553) @ (esk42_1 @ X553)))|~(X553 @ (comp @ (esk36_1 @ X553) @ (esk39_1 @ X553)) @ (sub @ (esk37_1 @ X553) @ (esk39_1 @ X553)) @ (esk38_1 @ X553)))&(~(X553 @ id @ (hoasap @ id @ (esk44_1 @ X553) @ id @ (esk45_1 @ X553)) @ id)|(~(X553 @ id @ X564 @ id)|(~(X553 @ id @ X565 @ id)|(X553 @ id @ (ap @ X564 @ X565) @ id)))|~(X553 @ (esk40_1 @ X553) @ (esk41_1 @ X553) @ (comp @ (esk43_1 @ X553) @ (esk42_1 @ X553)))|~(X553 @ (comp @ (esk36_1 @ X553) @ (esk39_1 @ X553)) @ (sub @ (esk37_1 @ X553) @ (esk39_1 @ X553)) @ (esk38_1 @ X553)))))))&((sub @ esk46_0 @ (push @ one @ sh))!=(X567 @ sh @ one))))))))))))))))))))))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[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_43])])])])])])])). 0.16/0.50 thf(c_0_45, negated_conjecture, ![X12:subst > term > term]:(((sub @ esk46_0 @ (push @ one @ sh))!=(X12 @ sh @ one))), inference(split_conjunct,[status(thm)],[c_0_44])). 0.16/0.50 thf(c_0_46, negated_conjecture, ((push @ one @ sh)=(id)), inference(split_conjunct,[status(thm)],[c_0_44])). 0.16/0.50 thf(c_0_47, negated_conjecture, ![X12:subst > term > term]:(((sub @ esk46_0 @ id)!=(X12 @ sh @ one))), inference(rw,[status(thm)],[c_0_45, c_0_46])). 0.16/0.50 thf(c_0_48, negated_conjecture, ![X1:term]:(((sub @ X1 @ id)=(X1))), inference(split_conjunct,[status(thm)],[c_0_44])). 0.16/0.50 thf(c_0_49, negated_conjecture, ![X12:subst > term > term]:(((esk46_0)!=(X12 @ sh @ one))), inference(rw,[status(thm)],[c_0_47, c_0_48])). 0.16/0.50 thf(c_0_50, negated_conjecture, ($false), inference(er,[status(thm)],[c_0_49]), ['proof']). 0.16/0.50 # SZS output end CNFRefutation 0.16/0.50 # Parsed axioms : 238 0.16/0.50 # Removed by relevancy pruning/SinE : 199 0.16/0.50 # Initial clauses : 94 0.16/0.50 # Removed in clause preprocessing : 0 0.16/0.50 # Initial clauses in saturation : 94 0.16/0.50 # Processed clauses : 99 0.16/0.50 # ...of these trivial : 5 0.16/0.50 # ...subsumed : 0 0.16/0.50 # ...remaining for further processing : 94 0.16/0.50 # Other redundant clauses eliminated : 0 0.16/0.50 # Clauses deleted for lack of memory : 0 0.16/0.50 # Backward-subsumed : 0 0.16/0.50 # Backward-rewritten : 2 0.16/0.50 # Generated clauses : 1 0.16/0.50 # ...of the previous two non-redundant : 1 0.16/0.50 # ...aggressively subsumed : 0 0.16/0.50 # Contextual simplify-reflections : 0 0.16/0.50 # Paramodulations : 0 0.16/0.50 # Factorizations : 0 0.16/0.50 # NegExts : 0 0.16/0.50 # Equation resolutions : 1 0.16/0.50 # Disequality decompositions : 0 0.16/0.50 # Total rewrite steps : 10 0.16/0.50 # ...of those cached : 2 0.16/0.50 # Propositional unsat checks : 0 0.16/0.50 # Propositional check models : 0 0.16/0.50 # Propositional check unsatisfiable : 0 0.16/0.50 # Propositional clauses : 0 0.16/0.50 # Propositional clauses after purity: 0 0.16/0.50 # Propositional unsat core size : 0 0.16/0.50 # Propositional preprocessing time : 0.000 0.16/0.50 # Propositional encoding time : 0.000 0.16/0.50 # Propositional solver time : 0.000 0.16/0.50 # Success case prop preproc time : 0.000 0.16/0.50 # Success case prop encoding time : 0.000 0.16/0.50 # Success case prop solver time : 0.000 0.16/0.50 # Current number of processed clauses : 4 0.16/0.50 # Positive orientable unit clauses : 1 0.16/0.50 # Positive unorientable unit clauses: 0 0.16/0.50 # Negative unit clauses : 3 0.16/0.50 # Non-unit-clauses : 0 0.16/0.50 # Current number of unprocessed clauses: 84 0.16/0.50 # ...number of literals in the above : 323 0.16/0.50 # Current number of archived formulas : 0 0.16/0.50 # Current number of archived clauses : 90 0.16/0.50 # Clause-clause subsumption calls (NU) : 655 0.16/0.50 # Rec. Clause-clause subsumption calls : 85 0.16/0.50 # Non-unit clause-clause subsumptions : 0 0.16/0.50 # Unit Clause-clause subsumption calls : 0 0.16/0.50 # Rewrite failures with RHS unbound : 0 0.16/0.50 # BW rewrite match attempts : 2 0.16/0.50 # BW rewrite match successes : 2 0.16/0.50 # Condensation attempts : 0 0.16/0.50 # Condensation successes : 0 0.16/0.50 # Termbank termtop insertions : 29533 0.16/0.50 # Search garbage collected termcells : 5234 0.16/0.50 0.16/0.50 # ------------------------------------------------- 0.16/0.50 # User time : 0.025 s 0.16/0.50 # System time : 0.005 s 0.16/0.50 # Total time : 0.030 s 0.16/0.50 # Maximum resident set size: 3572 pages 0.16/0.50 0.16/0.50 # ------------------------------------------------- 0.16/0.50 # User time : 0.032 s 0.16/0.50 # System time : 0.008 s 0.16/0.50 # Total time : 0.040 s 0.16/0.50 # Maximum resident set size: 2088 pages 0.16/0.50 % E exiting 0.16/0.51 % E exiting 0.16/0.51 EOF