0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : do_cvc5 %s %d THM 0.12/0.33 % Computer : n017.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 08:41:24 EDT 2024 0.12/0.34 % CPUTime : 0.46/0.69 %----Proving TH0 0.53/1.05 --- Run --ho-elim --enum-inst at 10... 0.53/1.05 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.3M8DEx0g7y/cvc5---1.0.5_31305.smt2 0.53/1.05 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.3M8DEx0g7y/cvc5---1.0.5_31305.smt2 0.53/1.05 (declare-sort tptp.name 0) 0.53/1.05 (declare-sort tptp.produc1357834675reeRes 0) 0.53/1.05 (declare-sort tptp.late_freeRes 0) 0.53/1.05 (declare-sort tptp.product_prod_name_pi 0) 0.53/1.05 (declare-sort tptp.pi 0) 0.53/1.05 (declare-sort tptp.produc1141751126_pi_pi 0) 0.53/1.05 (declare-sort tptp.late_residual 0) 0.53/1.05 (declare-sort tptp.product_prod_pi_name 0) 0.53/1.05 (declare-sort tptp.produc992857746Res_pi 0) 0.53/1.05 (declare-sort tptp.product_prod_pi_pi 0) 0.53/1.05 (declare-sort tptp.produc629157763_pi_pi 0) 0.53/1.05 (declare-sort tptp.produc367475239e_name 0) 0.53/1.05 (declare-sort tptp.produc53907987_pi_pi 0) 0.53/1.05 (declare-sort tptp.noptio1575811931_pi_pi 0) 0.53/1.05 (declare-sort tptp.late_subject 0) 0.53/1.05 (declare-sort tptp.produc2052722628s_name 0) 0.53/1.05 (declare-sort tptp.produc1834551554reeRes 0) 0.53/1.05 (declare-sort tptp.produc649380958reeRes 0) 0.53/1.05 (declare-sort tptp.produc2008547984reeRes 0) 0.53/1.05 (declare-sort tptp.produc405342261i_name 0) 0.53/1.05 (declare-sort tptp.noption_pi 0) 0.53/1.05 (declare-sort tptp.set_Pr1834926343_pi_pi 0) 0.53/1.05 (declare-sort tptp.noption_Late_freeRes 0) 0.53/1.05 (declare-sort tptp.produc1462499409ion_pi 0) 0.53/1.05 (declare-sort tptp.noption_name 0) 0.53/1.05 (declare-fun tptp.fresh_493808761reeRes (tptp.name tptp.produc1357834675reeRes) Bool) 0.53/1.05 (declare-fun tptp.produc1244821099reeRes (tptp.late_freeRes tptp.late_freeRes) tptp.produc1357834675reeRes) 0.53/1.05 (declare-fun tptp.if_name (Bool tptp.name tptp.name) tptp.name) 0.53/1.05 (declare-fun tptp.fresh_93646139ame_pi (tptp.name tptp.product_prod_name_pi) Bool) 0.53/1.05 (declare-fun tptp.product_Pair_name_pi (tptp.name tptp.pi) tptp.product_prod_name_pi) 0.53/1.05 (declare-fun tptp.fresh_261416607i_name (tptp.name tptp.product_prod_pi_name) Bool) 0.53/1.05 (declare-fun tptp.product_Pair_pi_name (tptp.pi tptp.name) tptp.product_prod_pi_name) 0.53/1.05 (declare-fun tptp.fresh_81631222sidual (tptp.name tptp.late_residual) Bool) 0.53/1.05 (declare-fun tptp.fresh_1847501388Res_pi (tptp.name tptp.produc992857746Res_pi) Bool) 0.53/1.05 (declare-fun tptp.produc1177552196Res_pi (tptp.late_freeRes tptp.pi) tptp.produc992857746Res_pi) 0.53/1.05 (declare-fun tptp.fresh_2007541374s_name (tptp.name tptp.produc2052722628s_name) Bool) 0.53/1.05 (declare-fun tptp.produc1701355766s_name (tptp.late_freeRes tptp.name) tptp.produc2052722628s_name) 0.53/1.05 (declare-fun tptp.fresh_453496559i_name (tptp.name tptp.produc405342261i_name) Bool) 0.53/1.05 (declare-fun tptp.fresh_785364841reeRes (tptp.name (-> tptp.name tptp.noption_Late_freeRes)) Bool) 0.53/1.05 (declare-fun tptp.fresh_225680151ion_pi (tptp.name tptp.produc1462499409ion_pi) Bool) 0.53/1.05 (declare-fun tptp.produc1342893193ion_pi ((-> tptp.name tptp.noption_pi) (-> tptp.name tptp.noption_pi)) tptp.produc1462499409ion_pi) 0.53/1.05 (declare-fun tptp.fresh_1093033124n_name (tptp.name (-> tptp.name tptp.noption_name)) Bool) 0.53/1.05 (declare-fun tptp.produc1820286517_pi_pi ((-> tptp.name tptp.noption_pi) tptp.pi) tptp.produc629157763_pi_pi) 0.53/1.05 (declare-fun tptp.produc1570949143e_name (tptp.name tptp.name) tptp.produc367475239e_name) 0.53/1.05 (declare-fun tptp.late_InputS (tptp.name) tptp.late_subject) 0.53/1.05 (declare-fun tptp.late_OutputR (tptp.name tptp.name) tptp.late_freeRes) 0.53/1.05 (declare-fun tptp.late_TauR () tptp.late_freeRes) 0.53/1.05 (declare-fun tptp.fresh_441084397e_name (tptp.name tptp.produc367475239e_name) Bool) 0.53/1.05 (declare-fun tptp.subs (tptp.pi tptp.name tptp.name) tptp.pi) 0.53/1.05 (declare-fun tptp.fresh_1963366730reeRes (tptp.name tptp.produc2008547984reeRes) Bool) 0.53/1.05 (declare-fun tptp.produc1531804426reeRes (tptp.name tptp.late_freeRes) tptp.produc2008547984reeRes) 0.53/1.05 (declare-fun tptp.fresh_1504024600reeRes (tptp.name tptp.produc649380958reeRes) Bool) 0.53/1.05 (declare-fun tptp.late_FreeR (tptp.late_freeRes tptp.pi) tptp.late_residual) 0.53/1.05 (declare-fun tptp.match (tptp.name tptp.name tptp.pi) tptp.pi) 0.53/1.05 (declare-fun tptp.q () tptp.pi) 0.53/1.05 (declare-fun tptp.piNil () tptp.pi) 0.53/1.05 (declare-fun tptp.pxQ () tptp.pi) 0.53/1.05 (declare-fun tptp.par (tptp.pi tptp.pi) tptp.pi) 0.53/1.05 (declare-fun tptp.fresh_253309757_pi_pi (tptp.name tptp.produc629157763_pi_pi) Bool) 0.53/1.05 (declare-fun tptp.collec1051790738_pi_pi ((-> tptp.product_prod_pi_pi Bool)) tptp.set_Pr1834926343_pi_pi) 0.53/1.05 (declare-fun tptp.u () tptp.name) 0.53/1.05 (declare-fun tptp.sum (tptp.pi tptp.pi) tptp.pi) 0.53/1.05 (declare-fun tptp.input (tptp.name tptp.name tptp.pi) tptp.pi) 0.53/1.05 (declare-fun tptp.strong743114133lation (tptp.pi tptp.set_Pr1834926343_pi_pi tptp.pi) Bool) 0.53/1.05 (declare-fun tptp.fresh_975559885_pi_pi (tptp.name tptp.produc53907987_pi_pi) Bool) 0.53/1.05 (declare-fun tptp.produc1505598906reeRes ((-> tptp.name tptp.noption_pi) tptp.late_freeRes) tptp.produc1834551554reeRes) 0.53/1.05 (declare-fun tptp.member558706512_pi_pi (tptp.product_prod_pi_pi tptp.set_Pr1834926343_pi_pi) Bool) 0.53/1.05 (declare-fun tptp.mismatch (tptp.name tptp.name tptp.pi) tptp.pi) 0.53/1.05 (declare-fun tptp.eqvt_pi (tptp.set_Pr1834926343_pi_pi) Bool) 0.53/1.05 (declare-fun tptp.late_transitions (tptp.pi tptp.late_residual) Bool) 0.53/1.05 (declare-fun tptp.produc1638681944reeRes (tptp.pi tptp.late_freeRes) tptp.produc649380958reeRes) 0.53/1.05 (declare-fun tptp.fresh_1641682979reeRes (tptp.name tptp.late_freeRes) Bool) 0.53/1.05 (declare-fun tptp.fresh_name_name (tptp.name tptp.name) Bool) 0.53/1.05 (declare-fun tptp.late_BoundR (tptp.late_subject tptp.name tptp.pi) tptp.late_residual) 0.53/1.05 (declare-fun tptp.fresh_1627595501_pi_pi (tptp.name tptp.product_prod_pi_pi) Bool) 0.53/1.05 (declare-fun tptp.product_Pair_pi_pi (tptp.pi tptp.pi) tptp.product_prod_pi_pi) 0.53/1.05 (declare-fun tptp.fresh_name_pi (tptp.name tptp.pi) Bool) 0.53/1.05 (declare-fun tptp.abs_fun_name_pi (tptp.name tptp.pi tptp.name) tptp.noption_pi) 0.53/1.05 (declare-fun tptp.p () tptp.pi) 0.53/1.05 (declare-fun tptp.output (tptp.name tptp.name tptp.pi) tptp.pi) 0.53/1.05 (declare-fun tptp.produc235456326_pi_pi (tptp.name tptp.product_prod_pi_pi) tptp.produc1141751126_pi_pi) 0.53/1.05 (declare-fun tptp.x () tptp.name) 0.53/1.05 (declare-fun tptp.tau (tptp.pi) tptp.pi) 0.53/1.05 (declare-fun tptp.y () tptp.name) 0.53/1.05 (declare-fun tptp.fresh_717452603ubject (tptp.name tptp.late_subject) Bool) 0.53/1.05 (declare-fun tptp.fresh_1376661020_pi_pi (tptp.name tptp.produc1141751126_pi_pi) Bool) 0.53/1.05 (declare-fun tptp.res (tptp.name tptp.pi) tptp.pi) 0.53/1.05 (declare-fun tptp.aa () tptp.late_subject) 0.53/1.05 (declare-fun tptp.subst_name (tptp.name tptp.name tptp.name) tptp.name) 0.53/1.05 (declare-fun tptp.fresh_543891186ion_pi (tptp.name (-> tptp.name tptp.noption_pi)) Bool) 0.53/1.05 (declare-fun tptp.p2 () tptp.pi) 0.53/1.05 (declare-fun tptp.produc1275980869_pi_pi ((-> tptp.name tptp.noption_pi) tptp.produc1141751126_pi_pi) tptp.produc53907987_pi_pi) 0.53/1.05 (declare-fun tptp.bang (tptp.pi) tptp.pi) 0.53/1.05 (declare-fun tptp.strong2129052853vative (tptp.pi tptp.pi tptp.late_subject tptp.name tptp.set_Pr1834926343_pi_pi) Bool) 0.53/1.05 (declare-fun tptp.fresh_1711070152reeRes (tptp.name tptp.produc1834551554reeRes) Bool) 0.53/1.05 (declare-fun tptp.rel () tptp.set_Pr1834926343_pi_pi) 0.53/1.05 (declare-fun tptp.late_BoundOutputS (tptp.name) tptp.late_subject) 0.53/1.05 (declare-fun tptp.produc540578151i_name ((-> tptp.name tptp.noption_pi) tptp.name) tptp.produc405342261i_name) 0.53/1.05 (declare-fun tptp.abs_fu681348580reeRes (tptp.name tptp.late_freeRes tptp.name) tptp.noption_Late_freeRes) 0.53/1.05 (declare-fun tptp.abs_fu385186459_pi_pi (tptp.name tptp.produc1141751126_pi_pi tptp.name) tptp.noptio1575811931_pi_pi) 0.53/1.05 (declare-fun tptp.fresh_2065563522_pi_pi (tptp.name (-> tptp.name tptp.noptio1575811931_pi_pi)) Bool) 0.53/1.05 (declare-fun tptp.abs_fun_name_name (tptp.name tptp.name tptp.name) tptp.noption_name) 0.53/1.05 (define @v.10.P () (alf.var "P" (-> tptp.name tptp.pi Bool))) 0.53/1.05 (define @v.1.F () (alf.var "F" (-> tptp.name tptp.name Bool))) 0.53/1.05 (define @v.1.C3 () (alf.var "C3" tptp.pi)) 0.53/1.05 (define @v.3.Y () (alf.var "Y" tptp.produc1141751126_pi_pi)) 0.53/1.05 (define @v.0.XP () (alf.var "XP" tptp.pi)) 0.53/1.05 (define @v.0.X112 () (alf.var "X112" tptp.name)) 0.53/1.05 (define @v.9.P () (alf.var "P" (-> tptp.produc1141751126_pi_pi Bool))) 0.53/1.05 (define @v.2.Y () (alf.var "Y" tptp.pi)) 0.53/1.05 (define @v.8.P () (alf.var "P" (-> tptp.pi tptp.late_residual Bool))) 0.53/1.05 (define @v.2.Z () (alf.var "Z" tptp.pi)) 0.53/1.05 (define @v.1.B2 () (alf.var "B2" tptp.pi)) 0.53/1.05 (define @v.1.A2 () (alf.var "A2" tptp.pi)) 0.53/1.05 (define @v.0.U () (alf.var "U" tptp.pi)) 0.53/1.05 (define @v.3.Y2 () (alf.var "Y2" tptp.produc1141751126_pi_pi)) 0.53/1.05 (define @v.7.P () (alf.var "P" (-> tptp.late_freeRes Bool))) 0.53/1.05 (define @v.1.Y2 () (alf.var "Y2" tptp.pi)) 0.53/1.05 (define @v.6.P () (alf.var "P" (-> tptp.produc405342261i_name Bool))) 0.53/1.05 (define @v.0.X11 () (alf.var "X11" tptp.name)) 0.53/1.05 (define @v.2.A () (alf.var "A" (-> tptp.name tptp.noption_pi))) 0.53/1.05 (define @v.0.X32 () (alf.var "X32" tptp.name)) 0.53/1.05 (define @v.3.P2 () (alf.var "P2" tptp.produc53907987_pi_pi)) 0.53/1.05 (define @v.0.FreeRes2 () (alf.var "FreeRes2" tptp.late_freeRes)) 0.53/1.05 (define @v.0.Residual () (alf.var "Residual" tptp.late_residual)) 0.53/1.05 (define @v.3.C3 () (alf.var "C3" tptp.produc1141751126_pi_pi)) 0.53/1.05 (define @v.14.P () (alf.var "P" (-> tptp.produc1462499409ion_pi Bool))) 0.53/1.05 (define @v.19.P () (alf.var "P" (-> tptp.late_subject Bool))) 0.53/1.05 (define @v.13.P () (alf.var "P" (-> tptp.late_residual Bool))) 0.53/1.05 (define @v.4.X () (alf.var "X" tptp.produc1141751126_pi_pi)) 0.53/1.05 (define @v.0.X122 () (alf.var "X122" tptp.name)) 0.53/1.05 (define @v.0.B4 () (alf.var "B4" tptp.name)) 0.53/1.05 (define @v.0.S () (alf.var "S" tptp.pi)) 0.53/1.05 (define @v.1.P2 () (alf.var "P2" tptp.produc1834551554reeRes)) 0.53/1.05 (define @v.1.Z2 () (alf.var "Z2" tptp.pi)) 0.53/1.05 (define @v.2.B2 () (alf.var "B2" tptp.product_prod_pi_pi)) 0.53/1.05 (define @v.0.D2 () (alf.var "D2" tptp.pi)) 0.53/1.05 (define @v.0.Name2 () (alf.var "Name2" tptp.name)) 0.53/1.05 (define @v.1.X3 () (alf.var "X3" tptp.name)) 0.53/1.05 (define @v.1.Y () (alf.var "Y" tptp.name)) 0.53/1.05 (define @v.6.B () (alf.var "B" (-> tptp.name tptp.noption_pi))) 0.53/1.05 (define @v.4.P () (alf.var "P" (-> tptp.produc53907987_pi_pi Bool))) 0.53/1.05 (define @v.4.Y () (alf.var "Y" tptp.product_prod_pi_pi)) 0.53/1.05 (define @v.6.Prod () (alf.var "Prod" tptp.produc629157763_pi_pi)) 0.53/1.05 (define @v.1.P () (alf.var "P" (-> tptp.product_prod_pi_pi Bool))) 0.53/1.05 (define @v.0.Prod () (alf.var "Prod" tptp.product_prod_pi_pi)) 0.53/1.05 (define @v.3.X3 () (alf.var "X3" tptp.pi)) 0.53/1.05 (define @v.0.Name12 () (alf.var "Name12" tptp.name)) 0.53/1.05 (define @v.0.Y4 () (alf.var "Y4" tptp.name)) 0.53/1.05 (define @v.0.Alpha () (alf.var "Alpha" tptp.late_freeRes)) 0.53/1.05 (define @v.4.Y3 () (alf.var "Y3" tptp.product_prod_pi_pi)) 0.53/1.05 (define @v.1.X2 () (alf.var "X2" tptp.name)) 0.53/1.05 (define @v.0.T () (alf.var "T" tptp.pi)) 0.53/1.05 (define @v.0.P2 () (alf.var "P2" tptp.produc629157763_pi_pi)) 0.53/1.05 (define @v.0.Pi2 () (alf.var "Pi2" tptp.pi)) 0.53/1.05 (define @v.1.X1 () (alf.var "X1" tptp.name)) 0.53/1.05 (define @v.1.X32 () (alf.var "X32" tptp.late_subject)) 0.53/1.05 (define @v.3.Z () (alf.var "Z" tptp.produc1141751126_pi_pi)) 0.53/1.05 (define @v.0.C3 () (alf.var "C3" tptp.name)) 0.53/1.05 (define @v.0.B3 () (alf.var "B3" tptp.pi)) 0.53/1.05 (define @v.0.Y () (alf.var "Y" tptp.late_freeRes)) 0.53/1.05 (define @v.0.Subject2 () (alf.var "Subject2" tptp.late_subject)) 0.53/1.05 (define @v.5.Y3 () (alf.var "Y3" tptp.produc1141751126_pi_pi)) 0.53/1.05 (define @v.0.Name () (alf.var "Name" tptp.name)) 0.53/1.05 (define @v.0.FreeRes3 () (alf.var "FreeRes3" tptp.late_freeRes)) 0.53/1.05 (define @v.0.Pi13 () (alf.var "Pi13" tptp.pi)) 0.53/1.05 (define @v.0.P3 () (alf.var "P3" tptp.pi)) 0.53/1.05 (define @v.0.X12 () (alf.var "X12" tptp.name)) 0.53/1.05 (define @v.6.P2 () (alf.var "P2" tptp.produc1141751126_pi_pi)) 0.53/1.05 (define @v.0.X4 () (alf.var "X4" tptp.product_prod_pi_pi)) 0.53/1.05 (define @v.0.X3 () (alf.var "X3" (-> tptp.name tptp.noption_pi))) 0.53/1.05 (define @v.1.A () (alf.var "A" tptp.late_subject)) 0.53/1.05 (define @v.5.P () (alf.var "P" (-> tptp.late_freeRes tptp.late_residual Bool))) 0.53/1.05 (define @v.0.Q3 () (alf.var "Q3" tptp.pi)) 0.53/1.05 (define @v.3.X () (alf.var "X" tptp.late_freeRes)) 0.53/1.05 (define @v.0.S2 () (alf.var "S2" tptp.pi)) 0.53/1.05 (define @v.0.Y1 () (alf.var "Y1" tptp.pi)) 0.53/1.05 (define @v.0.Name22 () (alf.var "Name22" tptp.name)) 0.53/1.05 (define @v.3.Prod () (alf.var "Prod" tptp.produc1141751126_pi_pi)) 0.53/1.05 (define @v.0.Y3 () (alf.var "Y3" tptp.pi)) 0.53/1.05 (define @v.2.C2 () (alf.var "C2" tptp.product_prod_pi_pi)) 0.53/1.05 (define @v.3.P () (alf.var "P" (-> tptp.produc1834551554reeRes Bool))) 0.53/1.05 (define @v.0.X () (alf.var "X" tptp.name)) 0.53/1.05 (define @v.16.P () (alf.var "P" (-> tptp.name tptp.late_residual Bool))) 0.53/1.05 (define @v.0.P5 () (alf.var "P5" tptp.pi)) 0.53/1.05 (define @v.0.A3 () (alf.var "A3" tptp.pi)) 0.53/1.05 (define @v.2.X1 () (alf.var "X1" (-> tptp.name tptp.noption_pi))) 0.53/1.05 (define @v.0.Q () (alf.var "Q" tptp.pi)) 0.53/1.05 (define @v.0.X1 () (alf.var "X1" tptp.pi)) 0.53/1.05 (define @v.0.Pi12 () (alf.var "Pi12" tptp.pi)) 0.53/1.05 (define @v.1.Y1 () (alf.var "Y1" tptp.name)) 0.53/1.05 (define @v.2.Y2 () (alf.var "Y2" tptp.late_freeRes)) 0.53/1.05 (define @v.3.A () (alf.var "A" tptp.pi)) 0.53/1.05 (define @v.0.F () (alf.var "F" (-> tptp.pi Bool))) 0.53/1.05 (define @v.4.P2 () (alf.var "P2" tptp.product_prod_pi_pi)) 0.53/1.05 (define @v.0.A () (alf.var "A" tptp.name)) 0.53/1.05 (define @v.0.Name1 () (alf.var "Name1" tptp.name)) 0.53/1.05 (define @v.0.Name3 () (alf.var "Name3" tptp.name)) 0.53/1.05 (define @v.1.Q () (alf.var "Q" (-> tptp.product_prod_pi_pi Bool))) 0.53/1.05 (define @v.0.Name13 () (alf.var "Name13" tptp.name)) 0.53/1.05 (define @v.0.A2 () (alf.var "A2" (-> tptp.name tptp.noption_pi))) 0.53/1.05 (define @v.11.Y () (alf.var "Y" tptp.produc629157763_pi_pi)) 0.53/1.05 (define @v.0.B () (alf.var "B" tptp.late_freeRes)) 0.53/1.05 (define @v.2.B () (alf.var "B" tptp.pi)) 0.53/1.05 (define @v.4.B2 () (alf.var "B2" tptp.produc1141751126_pi_pi)) 0.53/1.05 (define @v.0.Pi22 () (alf.var "Pi22" tptp.pi)) 0.53/1.05 (define @v.0.Alpha2 () (alf.var "Alpha2" tptp.late_freeRes)) 0.53/1.05 (define @v.0.D () (alf.var "D" tptp.name)) 0.53/1.05 (define @v.8.Y () (alf.var "Y" tptp.produc1462499409ion_pi)) 0.53/1.05 (define @v.0.C () (alf.var "C" tptp.name)) 0.53/1.05 (define @v.5.B () (alf.var "B" tptp.produc1141751126_pi_pi)) 0.53/1.05 (define @v.0.Pi3 () (alf.var "Pi3" tptp.pi)) 0.53/1.05 (define @v.2.P2 () (alf.var "P2" tptp.produc405342261i_name)) 0.53/1.05 (define @v.1.X () (alf.var "X" tptp.pi)) 0.53/1.05 (define @v.1.Y3 () (alf.var "Y3" tptp.late_freeRes)) 0.53/1.05 (define @v.2.X () (alf.var "X" (-> tptp.name tptp.noption_pi))) 0.53/1.05 (define @v.0.A5 () (alf.var "A5" tptp.name)) 0.53/1.05 (define @v.4.B () (alf.var "B" tptp.late_subject)) 0.53/1.05 (define @v.0.Alpha3 () (alf.var "Alpha3" tptp.late_freeRes)) 0.53/1.05 (define @v.0.R () (alf.var "R" tptp.pi)) 0.53/1.05 (define @v.1.Prod () (alf.var "Prod" tptp.produc1834551554reeRes)) 0.53/1.05 (define @v.1.Z () (alf.var "Z" tptp.name)) 0.53/1.05 (define @v.2.A3 () (alf.var "A3" (-> tptp.name tptp.noption_pi))) 0.53/1.05 (define @v.2.X2 () (alf.var "X2" tptp.late_freeRes)) 0.53/1.05 (define @v.4.A () (alf.var "A" tptp.product_prod_pi_pi)) 0.53/1.05 (define @v.12.P () (alf.var "P" (-> tptp.produc629157763_pi_pi Bool))) 0.53/1.05 (define @v.0.Z () (alf.var "Z" tptp.late_freeRes)) 0.53/1.05 (define @v.2.P () (alf.var "P" (-> tptp.late_freeRes tptp.pi Bool))) 0.53/1.05 (define @v.0.Pi4 () (alf.var "Pi4" tptp.pi)) 0.53/1.05 (define @v.0.Z2 () (alf.var "Z2" tptp.late_freeRes)) 0.53/1.05 (define @v.0.P4 () (alf.var "P4" tptp.pi)) 0.53/1.05 (define @v.0.Za () (alf.var "Za" tptp.late_freeRes)) 0.53/1.05 (define @v.0.Name4 () (alf.var "Name4" tptp.name)) 0.53/1.05 (define @v.0.Rs () (alf.var "Rs" tptp.late_residual)) 0.53/1.05 (define @v.0.Pi23 () (alf.var "Pi23" tptp.pi)) 0.53/1.05 (define @v.3.A3 () (alf.var "A3" tptp.late_subject)) 0.53/1.05 (define @v.0.Name23 () (alf.var "Name23" tptp.name)) 0.53/1.05 (define @v.0.X2 () (alf.var "X2" tptp.pi)) 0.53/1.05 (define @v.1.A3 () (alf.var "A3" tptp.name)) 0.53/1.05 (define @v.1.X4 () (alf.var "X4" tptp.name)) 0.53/1.05 (define @v.1.Prop () (alf.var "Prop" (-> tptp.late_freeRes tptp.pi Bool))) 0.53/1.05 (define @v.0.Q4 () (alf.var "Q4" tptp.pi)) 0.53/1.05 (define @v.0.P8 () (alf.var "P8" tptp.pi)) 0.53/1.05 (define @v.0.C4 () (alf.var "C4" tptp.name)) 0.53/1.05 (define @v.5.Y () (alf.var "Y" (-> tptp.name tptp.noption_pi))) 0.53/1.05 (define @v.3.B2 () (alf.var "B2" tptp.name)) 0.53/1.05 (define @v.2.X3 () (alf.var "X3" tptp.product_prod_pi_pi)) 0.53/1.05 (define @v.2.Z2 () (alf.var "Z2" tptp.name)) 0.53/1.05 (define @v.1.Za () (alf.var "Za" tptp.name)) 0.53/1.05 (define @v.17.P () (alf.var "P" (-> tptp.produc1141751126_pi_pi tptp.late_residual Bool))) 0.53/1.05 (define @v.1.A5 () (alf.var "A5" tptp.late_subject)) 0.53/1.05 (define @v.2.B3 () (alf.var "B3" tptp.name)) 0.53/1.05 (define @v.0.P7 () (alf.var "P7" tptp.pi)) 0.53/1.05 (define @v.2.C3 () (alf.var "C3" tptp.late_freeRes)) 0.53/1.05 (define @v.5.P2 () (alf.var "P2" tptp.produc1462499409ion_pi)) 0.53/1.05 (define @v.6.Y () (alf.var "Y" tptp.produc53907987_pi_pi)) 0.53/1.05 (define @v.5.B2 () (alf.var "B2" (-> tptp.name tptp.noption_pi))) 0.53/1.05 (define @v.5.X () (alf.var "X" tptp.produc53907987_pi_pi)) 0.53/1.05 (define @v.0.C2 () (alf.var "C2" tptp.pi)) 0.53/1.05 (define @v.1.C2 () (alf.var "C2" tptp.name)) 0.53/1.05 (define @v.0.Prop () (alf.var "Prop" (-> tptp.pi Bool))) 0.53/1.05 (define @v.4.X2 () (alf.var "X2" tptp.product_prod_pi_pi)) 0.53/1.05 (define @v.0.Q2 () (alf.var "Q2" tptp.pi)) 0.53/1.05 (define @v.11.P () (alf.var "P" (-> tptp.pi tptp.pi Bool))) 0.53/1.05 (define @v.2.Za () (alf.var "Za" tptp.pi)) 0.53/1.05 (define @v.1.Y32 () (alf.var "Y32" tptp.late_subject)) 0.53/1.05 (define @v.2.Prod () (alf.var "Prod" tptp.produc53907987_pi_pi)) 0.53/1.05 (define @v.3.Y3 () (alf.var "Y3" (-> tptp.name tptp.noption_pi))) 0.53/1.05 (define @v.4.Prod () (alf.var "Prod" tptp.produc1462499409ion_pi)) 0.53/1.05 (define @v.5.B3 () (alf.var "B3" (-> tptp.name tptp.noption_pi))) 0.53/1.05 (define @v.0.X5 () (alf.var "X5" tptp.name)) 0.53/1.05 (define @v.2.Y1 () (alf.var "Y1" (-> tptp.name tptp.noption_pi))) 0.53/1.05 (define @v.7.Y () (alf.var "Y" tptp.produc1834551554reeRes)) 0.53/1.05 (define @v.5.Prod () (alf.var "Prod" tptp.produc405342261i_name)) 0.53/1.05 (define @v.0.A4 () (alf.var "A4" tptp.set_Pr1834926343_pi_pi)) 0.53/1.05 (define @v.15.P () (alf.var "P" (-> tptp.produc1141751126_pi_pi tptp.pi Bool))) 0.53/1.05 (define @v.3.Z2 () (alf.var "Z2" tptp.produc1141751126_pi_pi)) 0.53/1.05 (define @v.3.Za () (alf.var "Za" tptp.produc1141751126_pi_pi)) 0.53/1.05 (define @v.0.Y11 () (alf.var "Y11" tptp.name)) 0.53/1.05 (define @v.0.Y12 () (alf.var "Y12" tptp.name)) 0.53/1.05 (define @v.0.Pi () (alf.var "Pi" tptp.pi)) 0.53/1.05 (define @v.0.Pi1 () (alf.var "Pi1" tptp.pi)) 0.53/1.05 (define @v.0.FreeRes () (alf.var "FreeRes" tptp.late_freeRes)) 0.53/1.05 (define @v.0.Subject () (alf.var "Subject" tptp.late_subject)) 0.53/1.05 (define @v.0.Y2 () (alf.var "Y2" tptp.name)) 0.53/1.05 (define @v.0.Y32 () (alf.var "Y32" tptp.name)) 0.53/1.05 (define @v.3.X2 () (alf.var "X2" tptp.produc1141751126_pi_pi)) 0.53/1.05 (define @v.0.P () (alf.var "P" tptp.pi)) 0.53/1.05 (define @v.0.B2 () (alf.var "B2" tptp.late_freeRes)) 0.53/1.05 (define @v.0.R2 () (alf.var "R2" tptp.pi)) 0.53/1.05 (define @v.1.B () (alf.var "B" tptp.name)) 0.53/1.05 (define @v.9.Y () (alf.var "Y" tptp.produc405342261i_name)) 0.53/1.05 (define @v.1.B3 () (alf.var "B3" tptp.product_prod_pi_pi)) 0.53/1.05 (define @v.0.Rel2 () (alf.var "Rel2" tptp.set_Pr1834926343_pi_pi)) 0.53/1.05 (define @v.0.Q6 () (alf.var "Q6" tptp.pi)) 0.53/1.05 (define @v.0.Q5 () (alf.var "Q5" tptp.pi)) 0.53/1.05 (define @v.18.P () (alf.var "P" Bool)) 0.53/1.05 (define @v.1.C () (alf.var "C" tptp.late_subject)) 0.53/1.05 (define @v.3.B3 () (alf.var "B3" tptp.late_freeRes)) 0.53/1.05 (define @v.0.PQ () (alf.var "PQ" tptp.pi)) 0.53/1.05 (define @v.4.Y2 () (alf.var "Y2" tptp.product_prod_pi_pi)) 0.53/1.05 (define @v.4.B3 () (alf.var "B3" tptp.produc1141751126_pi_pi)) 0.53/1.05 (define @v.0.X22 () (alf.var "X22" tptp.name)) 0.53/1.05 (define @v.0.Rel () (alf.var "Rel" tptp.set_Pr1834926343_pi_pi)) 0.53/1.05 (define @v.10.Y () (alf.var "Y" tptp.late_subject)) 0.53/1.05 (define @v.0.P6 () (alf.var "P6" tptp.pi)) 0.53/1.05 (define @v.0.X13 () (alf.var "X13" tptp.name)) 0.53/1.05 (define @v.5.Y2 () (alf.var "Y2" (-> tptp.name tptp.noption_pi))) 0.53/1.05 (define @v.5.X2 () (alf.var "X2" (-> tptp.name tptp.noption_pi))) 0.53/1.05 (define @v.3.B () (alf.var "B" tptp.product_prod_pi_pi)) 0.53/1.05 (define @v.2.A2 () (alf.var "A2" tptp.name)) 0.53/1.05 (define @v.2.Y3 () (alf.var "Y3" tptp.name)) 0.53/1.05 (define @t1 () (_ tptp.fresh_name_pi @v.0.A)) 0.53/1.05 (define @t2 () (@list @v.0.A)) 0.53/1.05 (define @t3 () (_ tptp.bang @v.0.Pi)) 0.53/1.05 (define @t4 () (_ (_ tptp.sum @v.0.Pi1) @v.0.Pi2)) 0.53/1.05 (define @t5 () (@list @v.0.Pi1 @v.0.Pi2 @v.0.Pi)) 0.53/1.05 (define @t6 () (_ @t1 @v.0.X1)) 0.53/1.05 (define @t7 () (and @t6 (_ @t1 @v.0.X2))) 0.53/1.05 (define @t8 () (_ (_ tptp.par @v.0.X2) @v.0.X1)) 0.53/1.05 (define @t9 () (@list @v.0.A @v.0.X2 @v.0.X1)) 0.53/1.05 (define @t10 () (= @v.0.X1 @v.0.Y1)) 0.53/1.05 (define @t11 () (= @v.1.X2 @v.0.Y2)) 0.53/1.05 (define @t12 () (= @v.0.X32 @v.0.Y32)) 0.53/1.05 (define @t13 () (_ (_ (_ tptp.mismatch @v.0.X32) @v.1.X2) @v.0.X1)) 0.53/1.05 (define @t14 () (@list @v.0.X32 @v.1.X2 @v.0.X1 @v.0.Y32 @v.0.Y2 @v.0.Y1)) 0.53/1.05 (define @t15 () (_ tptp.par @v.0.P)) 0.53/1.05 (define @t16 () (_ @t15 @v.0.Q3)) 0.53/1.05 (define @t17 () (_ tptp.late_BoundR @v.1.A)) 0.53/1.05 (define @t18 () (_ @t17 @v.0.X)) 0.53/1.05 (define @t19 () (_ @t15 @v.0.Q)) 0.53/1.05 (define @t20 () (_ tptp.late_transitions @t19)) 0.53/1.05 (define @t21 () (_ @t20 (_ @t18 @t16))) 0.53/1.05 (define @t22 () (_ tptp.fresh_name_pi @v.0.X)) 0.53/1.05 (define @t23 () (_ @t22 @v.0.P)) 0.53/1.05 (define @t24 () (_ tptp.late_transitions @v.0.Q)) 0.53/1.05 (define @t25 () (_ @t24 (_ @t18 @v.0.Q3))) 0.53/1.05 (define @t26 () (@list @v.0.Q @v.1.A @v.0.X @v.0.Q3 @v.0.P)) 0.53/1.05 (define @t27 () (_ tptp.fresh_name_name @v.0.A)) 0.53/1.05 (define @t28 () (_ @t27 @v.0.X32)) 0.53/1.05 (define @t29 () (_ @t27 @v.1.X2)) 0.53/1.05 (define @t30 () (and @t29 @t6 @t28)) 0.53/1.05 (define @t31 () (@list @v.0.A @v.0.X32 @v.1.X2 @v.0.X1)) 0.53/1.05 (define @t32 () (= @v.2.A @v.0.A2)) 0.53/1.05 (define @t33 () (= @v.0.B @v.0.B2)) 0.53/1.05 (define @t34 () (= (_ (_ tptp.produc1505598906reeRes @v.2.A) @v.0.B) (_ (_ tptp.produc1505598906reeRes @v.0.A2) @v.0.B2))) 0.53/1.05 (define @t35 () (@list @v.2.A @v.0.B @v.0.A2 @v.0.B2)) 0.53/1.05 (define @t36 () (_ tptp.fresh_1641682979reeRes @v.1.B)) 0.53/1.05 (define @t37 () (_ tptp.fresh_1641682979reeRes @v.0.A)) 0.53/1.05 (define @t38 () (_ tptp.late_FreeR @v.0.Alpha2)) 0.53/1.05 (define @t39 () (_ @t38 @v.0.P3)) 0.53/1.05 (define @t40 () (_ tptp.output @v.0.A)) 0.53/1.05 (define @t41 () (_ (_ @t40 @v.1.B) @v.0.P)) 0.53/1.05 (define @t42 () (_ tptp.late_transitions @t41)) 0.53/1.05 (define @t43 () (_ @t42 @t39)) 0.53/1.05 (define @t44 () (_ (_ tptp.sum @v.0.Pi12) @v.0.Pi22)) 0.53/1.05 (define @t45 () (_ (_ (_ tptp.match @v.0.Name12) @v.0.Name22) @v.0.Pi3)) 0.53/1.05 (define @t46 () (@list @v.0.Name12 @v.0.Name22 @v.0.Pi3 @v.0.Pi12 @v.0.Pi22)) 0.53/1.05 (define @t47 () (_ @t1 @v.1.X)) 0.53/1.05 (define @t48 () (_ @t37 @v.0.Y)) 0.53/1.05 (define @t49 () (_ (_ tptp.abs_fun_name_pi @v.1.X1) @v.0.X2)) 0.53/1.05 (define @t50 () (= @t49 (_ (_ tptp.abs_fun_name_pi @v.1.Y1) @v.1.Y2))) 0.53/1.05 (define @t51 () (_ (_ (_ tptp.input @v.0.X32) @v.1.X1) @v.0.X2)) 0.53/1.05 (define @t52 () (_ @t27 @v.0.X)) 0.53/1.05 (define @t53 () (_ (_ tptp.subs @v.0.P3) @v.0.X)) 0.53/1.05 (define @t54 () (_ tptp.late_FreeR tptp.late_TauR)) 0.53/1.05 (define @t55 () (_ @t20 (_ @t54 (_ (_ tptp.par (_ @t53 @v.1.B)) @v.0.Q3)))) 0.53/1.05 (define @t56 () (_ @t22 @v.0.Q3)) 0.53/1.05 (define @t57 () (not (= @v.0.X @v.1.B))) 0.53/1.05 (define @t58 () (not (= @v.0.X @v.0.A))) 0.53/1.05 (define @t59 () (_ @t22 @v.0.Q)) 0.53/1.05 (define @t60 () (_ (_ tptp.late_OutputR @v.0.A) @v.1.B)) 0.53/1.05 (define @t61 () (_ tptp.late_FreeR @t60)) 0.53/1.05 (define @t62 () (_ @t24 (_ @t61 @v.0.Q3))) 0.53/1.05 (define @t63 () (_ (_ tptp.late_BoundR (_ tptp.late_InputS @v.0.A)) @v.0.X)) 0.53/1.05 (define @t64 () (_ tptp.late_transitions @v.0.P)) 0.53/1.05 (define @t65 () (_ @t64 (_ @t63 @v.0.P3))) 0.53/1.05 (define @t66 () (@list @v.0.P @v.0.A @v.0.X @v.0.P3 @v.0.Q @v.1.B @v.0.Q3)) 0.53/1.05 (define @t67 () (_ @t27 @v.1.Y)) 0.53/1.05 (define @t68 () (@list @v.0.A @v.0.X @v.1.Y)) 0.53/1.05 (define @t69 () (= @v.0.X2 @v.1.Y2)) 0.53/1.05 (define @t70 () (and @t69 @t10)) 0.53/1.05 (define @t71 () (_ (_ (_ tptp.mismatch @v.0.Name1) @v.0.Name2) @v.0.Pi)) 0.53/1.05 (define @t72 () (@list @v.0.Name1 @v.0.Name2 @v.0.Pi)) 0.53/1.05 (define @t73 () (= @v.3.A @v.1.A2)) 0.53/1.05 (define @t74 () (= @v.2.B @v.1.B2)) 0.53/1.05 (define @t75 () (= (_ (_ tptp.product_Pair_pi_pi @v.3.A) @v.2.B) (_ (_ tptp.product_Pair_pi_pi @v.1.A2) @v.1.B2))) 0.53/1.05 (define @t76 () (@list @v.3.A @v.2.B @v.1.A2 @v.1.B2)) 0.53/1.05 (define @t77 () (_ tptp.subs @v.0.P)) 0.53/1.05 (define @t78 () (_ @t77 @v.0.A)) 0.53/1.05 (define @t79 () (_ @t78 @v.1.B)) 0.53/1.05 (define @t80 () (_ tptp.res @v.1.B)) 0.53/1.05 (define @t81 () (_ @t80 @t79)) 0.53/1.05 (define @t82 () (_ (_ tptp.res @v.0.A) @v.0.P)) 0.53/1.05 (define @t83 () (_ tptp.fresh_name_pi @v.1.B)) 0.53/1.05 (define @t84 () (_ @t83 @v.0.P)) 0.53/1.05 (define @t85 () (@list @v.1.B @v.0.P @v.0.A)) 0.53/1.05 (define @t86 () (_ tptp.res @v.0.X)) 0.53/1.05 (define @t87 () (_ (_ tptp.product_Pair_pi_pi @v.0.A3) @v.0.B3)) 0.53/1.05 (define @t88 () (@list @v.0.A3 @v.0.B3)) 0.53/1.05 (define @t89 () (forall @t88 (_ @v.1.P @t87))) 0.53/1.05 (define @t90 () (_ @t1 @v.2.Y)) 0.53/1.05 (define @t91 () (_ (_ tptp.fresh_253309757_pi_pi @v.0.A) (_ (_ tptp.produc1820286517_pi_pi @v.2.X) @v.2.Y))) 0.53/1.05 (define @t92 () (@list @v.0.A @v.2.X @v.2.Y)) 0.53/1.05 (define @t93 () (_ (_ (_ tptp.input @v.0.Name1) @v.0.Name2) @v.0.Pi)) 0.53/1.05 (define @t94 () (_ (_ (_ tptp.output @v.0.Name12) @v.0.Name22) @v.0.Pi3)) 0.53/1.05 (define @t95 () (@list @v.0.Name12 @v.0.Name22 @v.0.Pi3 @v.0.Name1 @v.0.Name2 @v.0.Pi)) 0.53/1.05 (define @t96 () (= @v.0.A5 @v.0.B4)) 0.53/1.05 (define @t97 () (_ tptp.produc235456326_pi_pi @v.1.A3)) 0.53/1.05 (define @t98 () (_ @t97 @v.1.B3)) 0.53/1.05 (define @t99 () (@list @v.1.A3 @v.1.B3)) 0.53/1.05 (define @t100 () (@list @v.3.Y)) 0.53/1.05 (define @t101 () (_ tptp.late_OutputR @v.1.A3)) 0.53/1.05 (define @t102 () (_ tptp.late_FreeR (_ @t101 @v.2.B3))) 0.53/1.05 (define @t103 () (= @v.0.P @v.0.P5)) 0.53/1.05 (define @t104 () (= @v.1.B @v.2.B3)) 0.53/1.05 (define @t105 () (= @v.0.A @v.1.A3)) 0.53/1.05 (define @t106 () (@list @v.0.A @v.1.B @v.0.P @v.0.Rs)) 0.53/1.05 (define @t107 () (_ (_ tptp.subs @v.0.Q3) @v.0.X)) 0.53/1.05 (define @t108 () (_ tptp.par @v.0.P3)) 0.53/1.05 (define @t109 () (_ @t20 (_ @t54 (_ @t108 (_ @t107 @v.1.B))))) 0.53/1.05 (define @t110 () (_ @t22 @v.0.P3)) 0.53/1.05 (define @t111 () (_ @t24 (_ @t63 @v.0.Q3))) 0.53/1.05 (define @t112 () (_ @t61 @v.0.P3)) 0.53/1.05 (define @t113 () (_ @t64 @t112)) 0.53/1.05 (define @t114 () (@list @v.0.P @v.0.A @v.1.B @v.0.P3 @v.0.Q @v.0.X @v.0.Q3)) 0.53/1.05 (define @t115 () (= @v.2.X2 @v.2.Y2)) 0.53/1.05 (define @t116 () (_ (_ tptp.late_FreeR @v.2.X2) @v.0.X1)) 0.53/1.05 (define @t117 () (_ tptp.collec1051790738_pi_pi @v.1.P)) 0.53/1.05 (define @t118 () (_ tptp.bang @v.0.Pi4)) 0.53/1.05 (define @t119 () (_ @v.2.P @v.0.Z2)) 0.53/1.05 (define @t120 () (_ @v.2.P @v.0.Za)) 0.53/1.05 (define @t121 () (@list @v.0.Za)) 0.53/1.05 (define @t122 () (forall @t121 (_ @t120 @v.0.Pi4))) 0.53/1.05 (define @t123 () (@list @v.0.Pi4 @v.0.Z2)) 0.53/1.05 (define @t124 () (_ (_ tptp.res @v.0.Name4) @v.0.Pi4)) 0.53/1.05 (define @t125 () (_ (_ tptp.fresh_1641682979reeRes @v.0.Name4) @v.0.Z2)) 0.53/1.05 (define @t126 () (_ (_ tptp.par @v.0.Pi13) @v.0.Pi23)) 0.53/1.05 (define @t127 () (forall @t121 (_ @t120 @v.0.Pi23))) 0.53/1.05 (define @t128 () (forall @t121 (_ @t120 @v.0.Pi13))) 0.53/1.05 (define @t129 () (@list @v.0.Pi13 @v.0.Pi23 @v.0.Z2)) 0.53/1.05 (define @t130 () (_ (_ tptp.sum @v.0.Pi13) @v.0.Pi23)) 0.53/1.05 (define @t131 () (_ (_ (_ tptp.mismatch @v.0.Name13) @v.0.Name23) @v.0.Pi4)) 0.53/1.05 (define @t132 () (@list @v.0.Name13 @v.0.Name23 @v.0.Pi4 @v.0.Z2)) 0.53/1.05 (define @t133 () (_ (_ (_ tptp.match @v.0.Name13) @v.0.Name23) @v.0.Pi4)) 0.53/1.05 (define @t134 () (_ (_ (_ tptp.input @v.0.Name13) @v.0.Name23) @v.0.Pi4)) 0.53/1.05 (define @t135 () (_ tptp.fresh_name_name @v.0.Name23)) 0.53/1.05 (define @t136 () (_ @t135 @v.0.Name13)) 0.53/1.05 (define @t137 () (_ tptp.tau @v.0.Pi4)) 0.53/1.05 (define @t138 () (_ (_ (_ tptp.output @v.0.Name13) @v.0.Name23) @v.0.Pi4)) 0.53/1.05 (define @t139 () (_ tptp.res tptp.x)) 0.53/1.05 (define @t140 () (_ @t139 tptp.q)) 0.53/1.05 (define @t141 () (_ tptp.par tptp.p)) 0.53/1.05 (define @t142 () (_ @t141 @t140)) 0.53/1.05 (define @t143 () (_ tptp.fresh_name_pi tptp.y)) 0.53/1.05 (define @t144 () (_ tptp.res @v.1.Y)) 0.53/1.05 (define @t145 () (_ @t144 @v.0.P3)) 0.53/1.05 (define @t146 () (_ tptp.late_transitions (_ @t144 @v.0.P))) 0.53/1.05 (define @t147 () (_ @t146 (_ @t18 @t145))) 0.53/1.05 (define @t148 () (_ tptp.fresh_717452603ubject @v.0.X)) 0.53/1.05 (define @t149 () (_ @t148 @v.1.A)) 0.53/1.05 (define @t150 () (not (= @v.1.Y @v.0.X))) 0.53/1.05 (define @t151 () (_ (_ tptp.fresh_717452603ubject @v.1.Y) @v.1.A)) 0.53/1.05 (define @t152 () (_ @t18 @v.0.P3)) 0.53/1.05 (define @t153 () (_ @t64 @t152)) 0.53/1.05 (define @t154 () (@list @v.0.P @v.1.A @v.0.X @v.0.P3 @v.1.Y)) 0.53/1.05 (define @t155 () (_ (_ tptp.res @v.0.Name) @v.0.Pi)) 0.53/1.05 (define @t156 () (_ tptp.tau @v.0.Pi3)) 0.53/1.05 (define @t157 () (_ @t108 @v.0.Q)) 0.53/1.05 (define @t158 () (_ @t20 (_ @t18 @t157))) 0.53/1.05 (define @t159 () (@list @v.0.P @v.1.A @v.0.X @v.0.P3 @v.0.Q)) 0.53/1.05 (define @t160 () (_ (_ @t77 @v.0.C) @v.0.D)) 0.53/1.05 (define @t161 () (_ (_ (_ tptp.subst_name @v.1.B) @v.0.C) @v.0.D)) 0.53/1.05 (define @t162 () (_ tptp.subst_name @v.0.A)) 0.53/1.05 (define @t163 () (_ (_ @t162 @v.0.C) @v.0.D)) 0.53/1.05 (define @t164 () (@list @v.0.A @v.1.B @v.0.P @v.0.C @v.0.D)) 0.53/1.05 (define @t165 () (_ tptp.fresh_543891186ion_pi @v.0.A)) 0.53/1.05 (define @t166 () (_ @t165 @v.2.X)) 0.53/1.05 (define @t167 () (_ (_ (_ tptp.subs tptp.q) tptp.y) tptp.u)) 0.53/1.05 (define @t168 () (_ (_ (_ tptp.subs tptp.p2) tptp.y) tptp.u)) 0.53/1.05 (define @t169 () (_ tptp.par @t168)) 0.53/1.05 (define @t170 () (_ (_ tptp.par tptp.p2) tptp.q)) 0.53/1.05 (define @t171 () (_ @t139 @t170)) 0.53/1.05 (define @t172 () (_ (_ (_ tptp.subs @t171) tptp.y) tptp.u)) 0.53/1.05 (define @t173 () (= @t172 (_ @t139 (_ @t169 @t167)))) 0.53/1.05 (define @t174 () (@list @v.0.Name12 @v.0.Name22 @v.0.Pi3 @v.0.Pi)) 0.53/1.05 (define @t175 () (_ (_ tptp.produc1505598906reeRes @v.2.A3) @v.3.B3)) 0.53/1.05 (define @t176 () (@list @v.2.A3 @v.3.B3)) 0.53/1.05 (define @t177 () (forall @t176 (_ @v.3.P @t175))) 0.53/1.05 (define @t178 () (_ (_ tptp.par @v.0.Pi12) @v.0.Pi22)) 0.53/1.05 (define @t179 () (_ tptp.par @v.0.P4)) 0.53/1.05 (define @t180 () (_ @t64 (_ @t18 @v.0.P4))) 0.53/1.05 (define @t181 () (@list @v.0.P4)) 0.53/1.05 (define @t182 () (_ (_ tptp.par @v.0.Pi1) @v.0.Pi2)) 0.53/1.05 (define @t183 () (_ (_ (_ tptp.late_BoundR @v.1.X32) @v.1.X1) @v.0.X2)) 0.53/1.05 (define @t184 () (_ @t27 @v.1.X1)) 0.53/1.05 (define @t185 () (_ tptp.late_InputS @v.1.X1)) 0.53/1.05 (define @t186 () (_ tptp.fresh_717452603ubject @v.0.A)) 0.53/1.05 (define @t187 () (@list @v.0.A @v.1.X1)) 0.53/1.05 (define @t188 () (_ tptp.mismatch @v.0.A)) 0.53/1.05 (define @t189 () (_ (_ @t188 @v.1.B) @v.0.P)) 0.53/1.05 (define @t190 () (_ tptp.fresh_1376661020_pi_pi @v.0.A)) 0.53/1.05 (define @t191 () (_ @t190 (_ (_ tptp.produc235456326_pi_pi @v.0.X) @v.4.Y))) 0.53/1.05 (define @t192 () (@list @v.0.A @v.0.X @v.4.Y)) 0.53/1.05 (define @t193 () (_ tptp.produc1275980869_pi_pi @v.2.A3)) 0.53/1.05 (define @t194 () (_ @t193 @v.4.B3)) 0.53/1.05 (define @t195 () (@list @v.2.A3 @v.4.B3)) 0.53/1.05 (define @t196 () (forall @t195 (_ @v.4.P @t194))) 0.53/1.05 (define @t197 () (_ (_ tptp.strong743114133lation @v.0.P) @v.0.Rel)) 0.53/1.05 (define @t198 () (_ @t197 @v.0.Q)) 0.53/1.05 (define @t199 () (_ tptp.product_Pair_pi_pi @v.0.P6)) 0.53/1.05 (define @t200 () (_ (_ tptp.member558706512_pi_pi (_ @t199 @v.0.Q2)) @v.0.Rel)) 0.53/1.05 (define @t201 () (_ tptp.late_FreeR @v.0.Alpha)) 0.53/1.05 (define @t202 () (_ @t64 (_ @t201 @v.0.P6))) 0.53/1.05 (define @t203 () (@list @v.0.P6)) 0.53/1.05 (define @t204 () (_ @t24 (_ @t201 @v.0.Q2))) 0.53/1.05 (define @t205 () (@list @v.0.Alpha @v.0.Q2)) 0.53/1.05 (define @t206 () (=> (forall @t205 (=> @t204 (exists @t203 (and @t202 @t200)))) @t198)) 0.53/1.05 (define @t207 () (_ tptp.late_BoundR @v.3.A3)) 0.53/1.05 (define @t208 () (_ @t207 @v.1.X3)) 0.53/1.05 (define @t209 () (_ @t64 (_ @t208 @v.0.P6))) 0.53/1.05 (define @t210 () (_ tptp.strong2129052853vative @v.0.P6)) 0.53/1.05 (define @t211 () (_ (_ @t210 @v.0.Q2) @v.3.A3)) 0.53/1.05 (define @t212 () (_ (_ @t211 @v.1.X3) @v.0.Rel)) 0.53/1.05 (define @t213 () (exists @t203 (and @t212 @t209))) 0.53/1.05 (define @t214 () (_ (_ tptp.fresh_717452603ubject @v.1.X3) @v.3.A3)) 0.53/1.05 (define @t215 () (_ tptp.fresh_name_pi @v.1.X3)) 0.53/1.05 (define @t216 () (_ @t215 @v.0.Q)) 0.53/1.05 (define @t217 () (_ @t215 @v.0.P)) 0.53/1.05 (define @t218 () (_ @t208 @v.0.Q2)) 0.53/1.05 (define @t219 () (_ @t24 @t218)) 0.53/1.05 (define @t220 () (@list @v.3.A3 @v.1.X3 @v.0.Q2)) 0.53/1.05 (define @t221 () (_ tptp.eqvt_pi @v.0.Rel)) 0.53/1.05 (define @t222 () (= @v.3.B @v.2.B2)) 0.53/1.05 (define @t223 () (= @v.0.A @v.2.A2)) 0.53/1.05 (define @t224 () (= (_ (_ tptp.produc235456326_pi_pi @v.0.A) @v.3.B) (_ (_ tptp.produc235456326_pi_pi @v.2.A2) @v.2.B2))) 0.53/1.05 (define @t225 () (@list @v.0.A @v.3.B @v.2.A2 @v.2.B2)) 0.53/1.05 (define @t226 () (_ @t15 tptp.piNil)) 0.53/1.05 (define @t227 () (_ (_ tptp.par @v.0.Q4) tptp.piNil)) 0.53/1.05 (define @t228 () (@list @v.0.Q4)) 0.53/1.05 (define @t229 () (@list @v.0.Rel @v.0.P)) 0.53/1.05 (define @t230 () (_ (_ (_ tptp.input @v.0.Name12) @v.0.Name22) @v.0.Pi3)) 0.53/1.05 (define @t231 () (@list @v.0.Name12 @v.0.Name22 @v.0.Pi3 @v.0.Name @v.0.Pi)) 0.53/1.05 (define @t232 () (_ @t165 @t49)) 0.53/1.05 (define @t233 () (_ tptp.fresh_1627595501_pi_pi @v.0.A)) 0.53/1.05 (define @t234 () (_ @t233 @v.4.Y)) 0.53/1.05 (define @t235 () (_ tptp.par @v.0.R)) 0.53/1.05 (define @t236 () (_ @t235 (_ @t144 @v.0.S))) 0.53/1.05 (define @t237 () (_ tptp.res @v.1.Z)) 0.53/1.05 (define @t238 () (_ @t235 @v.0.S)) 0.53/1.05 (define @t239 () (_ tptp.fresh_name_pi @v.1.Y)) 0.53/1.05 (define @t240 () (_ @t239 @v.0.R)) 0.53/1.05 (define @t241 () (_ @t64 (_ @t38 @v.0.P4))) 0.53/1.05 (define @t242 () (_ @t24 (_ @t38 @v.0.Q3))) 0.53/1.05 (define @t243 () (_ tptp.fresh_1641682979reeRes @v.2.Y3)) 0.53/1.05 (define @t244 () (_ tptp.late_transitions @v.0.P5)) 0.53/1.05 (define @t245 () (=> (_ @t244 (_ @t201 @v.0.P4)) (not (_ @t243 @v.0.Alpha)))) 0.53/1.05 (define @t246 () (_ tptp.res @v.2.Y3)) 0.53/1.05 (define @t247 () (_ @t246 @v.0.P4)) 0.53/1.05 (define @t248 () (_ @t201 @t247)) 0.53/1.05 (define @t249 () (_ @t246 @v.0.P5)) 0.53/1.05 (define @t250 () (_ @t86 @v.0.P)) 0.53/1.05 (define @t251 () (= @t250 @t249)) 0.53/1.05 (define @t252 () (@list @v.0.P5 @v.0.Alpha @v.0.P4 @v.2.Y3)) 0.53/1.05 (define @t253 () (not @t214)) 0.53/1.05 (define @t254 () (_ @t215 @v.0.P5)) 0.53/1.05 (define @t255 () (_ @t244 (_ @t208 @v.0.P4))) 0.53/1.05 (define @t256 () (=> @t255 (=> (_ (_ tptp.fresh_717452603ubject @v.2.Y3) @v.3.A3) (=> (not (= @v.2.Y3 @v.1.X3)) (=> @t254 @t253))))) 0.53/1.05 (define @t257 () (_ @t208 @t247)) 0.53/1.05 (define @t258 () (@list @v.0.P5 @v.3.A3 @v.1.X3 @v.0.P4 @v.2.Y3)) 0.53/1.05 (define @t259 () (= @v.1.A3 @v.2.B3)) 0.53/1.05 (define @t260 () (=> (_ @t244 (_ @t102 @v.0.P4)) @t259)) 0.53/1.05 (define @t261 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @v.1.A3))) 0.53/1.05 (define @t262 () (_ (_ @t261 @v.2.B3) @v.0.P4)) 0.53/1.05 (define @t263 () (_ (_ tptp.res @v.2.B3) @v.0.P5)) 0.53/1.05 (define @t264 () (@list @v.0.P5 @v.1.A3 @v.2.B3)) 0.53/1.05 (define @t265 () (_ tptp.late_transitions @t250)) 0.53/1.05 (define @t266 () (_ @t64 @t39)) 0.53/1.05 (define @t267 () (_ (_ @v.1.Prop @v.0.Alpha2) @v.0.P3)) 0.53/1.05 (define @t268 () (= @v.0.P @v.0.P3)) 0.53/1.05 (define @t269 () (_ tptp.tau @v.0.P)) 0.53/1.05 (define @t270 () (_ tptp.late_transitions @t269)) 0.53/1.05 (define @t271 () (_ (_ tptp.late_FreeR @v.0.FreeRes2) @v.0.Pi4)) 0.53/1.05 (define @t272 () (_ @v.5.P @v.0.Z2)) 0.53/1.05 (define @t273 () (_ (_ (_ tptp.late_BoundR @v.0.Subject2) @v.0.Name4) @v.0.Pi4)) 0.53/1.05 (define @t274 () (_ (_ tptp.fresh_717452603ubject @v.0.Name4) @v.0.Subject2)) 0.53/1.05 (define @t275 () (_ tptp.fresh_name_pi tptp.x)) 0.53/1.05 (define @t276 () (_ tptp.late_BoundOutputS @v.1.X2)) 0.53/1.05 (define @t277 () (_ (_ tptp.fresh_975559885_pi_pi @v.0.A) (_ (_ tptp.produc1275980869_pi_pi @v.2.X) @v.3.Y))) 0.53/1.05 (define @t278 () (@list @v.0.A @v.2.X @v.3.Y)) 0.53/1.05 (define @t279 () (_ @t233 (_ (_ tptp.product_Pair_pi_pi @v.1.X) @v.2.Y))) 0.53/1.05 (define @t280 () (@list @v.0.A @v.1.X @v.2.Y)) 0.53/1.05 (define @t281 () (= @v.1.B @v.3.B2)) 0.53/1.05 (define @t282 () (= (_ (_ tptp.produc540578151i_name @v.2.A) @v.1.B) (_ (_ tptp.produc540578151i_name @v.0.A2) @v.3.B2))) 0.53/1.05 (define @t283 () (@list @v.2.A @v.1.B @v.0.A2 @v.3.B2)) 0.53/1.05 (define @t284 () (= @v.0.A @v.1.B)) 0.53/1.05 (define @t285 () (_ (_ (_ tptp.match @v.0.A) @v.1.B) @v.0.P)) 0.53/1.05 (define @t286 () (_ (_ tptp.late_transitions @t285) @v.0.Rs)) 0.53/1.05 (define @t287 () (_ (_ tptp.late_OutputR @v.0.X11) @v.0.X12)) 0.53/1.05 (define @t288 () (_ (_ tptp.fresh_1711070152reeRes @v.0.A) (_ (_ tptp.produc1505598906reeRes @v.2.X) @v.0.Y))) 0.53/1.05 (define @t289 () (@list @v.0.A @v.2.X @v.0.Y)) 0.53/1.05 (define @t290 () (_ tptp.abs_fu681348580reeRes @v.0.A)) 0.53/1.05 (define @t291 () (_ @t290 @v.3.X)) 0.53/1.05 (define @t292 () (@list @v.0.A @v.3.X @v.0.Y)) 0.53/1.05 (define @t293 () (_ (_ tptp.produc540578151i_name @v.2.A3) @v.2.B3)) 0.53/1.05 (define @t294 () (@list @v.2.A3 @v.2.B3)) 0.53/1.05 (define @t295 () (forall @t294 (_ @v.6.P @t293))) 0.53/1.05 (define @t296 () (_ (_ (_ tptp.match @v.0.Name1) @v.0.Name2) @v.0.Pi)) 0.53/1.05 (define @t297 () (_ (_ (_ tptp.output @v.0.X32) @v.1.X2) @v.0.X1)) 0.53/1.05 (define @t298 () (@list @v.0.Pi3 @v.0.Name1 @v.0.Name2 @v.0.Pi)) 0.53/1.05 (define @t299 () (_ (_ (_ tptp.late_BoundR @v.4.B) @v.1.Y) @v.0.P3)) 0.53/1.05 (define @t300 () (_ tptp.input @v.0.A)) 0.53/1.05 (define @t301 () (_ (_ @t300 @v.0.X) @v.0.P)) 0.53/1.05 (define @t302 () (_ tptp.late_transitions @t301)) 0.53/1.05 (define @t303 () (_ tptp.par @v.0.Q)) 0.53/1.05 (define @t304 () (_ (_ tptp.par @v.0.T) @v.0.U)) 0.53/1.05 (define @t305 () (_ tptp.par @v.0.S2)) 0.53/1.05 (define @t306 () (_ @t305 @t304)) 0.53/1.05 (define @t307 () (_ tptp.res @v.1.X3)) 0.53/1.05 (define @t308 () (_ @t305 @v.0.T)) 0.53/1.05 (define @t309 () (@list @v.0.S2 @v.0.T @v.0.U @v.1.X3)) 0.53/1.05 (define @t310 () (_ (_ tptp.par @t308) @v.0.U)) 0.53/1.05 (define @t311 () (_ @t307 @v.0.S2)) 0.53/1.05 (define @t312 () (_ tptp.late_transitions (_ @t86 @t269))) 0.53/1.05 (define @t313 () (_ (_ tptp.late_BoundR tptp.aa) tptp.y)) 0.53/1.05 (define @t314 () (_ @t141 tptp.q)) 0.53/1.05 (define @t315 () (_ @t139 @t314)) 0.53/1.05 (define @t316 () (_ @v.8.P @v.1.Z2)) 0.53/1.05 (define @t317 () (_ (_ tptp.fresh_name_pi @v.0.Name4) @v.1.Z2)) 0.53/1.05 (define @t318 () (_ tptp.tau @v.0.Pi)) 0.53/1.05 (define @t319 () (@list @v.0.Pi)) 0.53/1.05 (define @t320 () (forall @t99 (_ @v.9.P @t98))) 0.53/1.05 (define @t321 () (_ tptp.fresh_1641682979reeRes @v.0.X)) 0.53/1.05 (define @t322 () (_ @t275 @t168)) 0.53/1.05 (define @t323 () (= @v.1.B @v.0.A)) 0.53/1.05 (define @t324 () (_ tptp.abs_fu385186459_pi_pi @v.0.A)) 0.53/1.05 (define @t325 () (_ @t324 @v.4.X)) 0.53/1.05 (define @t326 () (_ tptp.late_transitions (_ @t86 @t41))) 0.53/1.05 (define @t327 () (_ (_ tptp.late_transitions @t189) @v.0.Rs)) 0.53/1.05 (define @t328 () (not @t284)) 0.53/1.05 (define @t329 () (_ @t64 @v.0.Rs)) 0.53/1.05 (define @t330 () (_ (_ tptp.fresh_name_name @v.1.B) @v.0.X)) 0.53/1.05 (define @t331 () (_ tptp.abs_fun_name_name @v.0.A)) 0.53/1.05 (define @t332 () (_ @t331 @v.0.X)) 0.53/1.05 (define @t333 () (_ (_ tptp.fresh_1093033124n_name @v.1.B) @t332)) 0.53/1.05 (define @t334 () (@list @v.1.B @v.0.A @v.0.X)) 0.53/1.05 (define @t335 () (_ @v.10.P @v.2.Z2)) 0.53/1.05 (define @t336 () (_ @v.10.P @v.1.Za)) 0.53/1.05 (define @t337 () (@list @v.1.Za)) 0.53/1.05 (define @t338 () (forall @t337 (_ @t336 @v.0.Pi4))) 0.53/1.05 (define @t339 () (@list @v.0.Pi4 @v.2.Z2)) 0.53/1.05 (define @t340 () (_ (_ tptp.fresh_name_name @v.0.Name4) @v.2.Z2)) 0.53/1.05 (define @t341 () (forall @t337 (_ @t336 @v.0.Pi23))) 0.53/1.05 (define @t342 () (forall @t337 (_ @t336 @v.0.Pi13))) 0.53/1.05 (define @t343 () (@list @v.0.Pi13 @v.0.Pi23 @v.2.Z2)) 0.53/1.05 (define @t344 () (@list @v.0.Name13 @v.0.Name23 @v.0.Pi4 @v.2.Z2)) 0.53/1.05 (define @t345 () (_ @t239 @v.0.P)) 0.53/1.05 (define @t346 () (_ @t239 @v.0.P3)) 0.53/1.05 (define @t347 () (_ @t197 (_ @t86 @v.0.Q))) 0.53/1.05 (define @t348 () (_ @t86 @v.0.Q2)) 0.53/1.05 (define @t349 () (_ (_ tptp.member558706512_pi_pi (_ @t199 @t348)) @v.0.Rel)) 0.53/1.05 (define @t350 () (_ @t321 @v.0.Alpha)) 0.53/1.05 (define @t351 () (@list @v.0.Q2 @v.0.Alpha)) 0.53/1.05 (define @t352 () (=> (forall @t351 (=> @t204 (=> @t350 (exists @t203 (and @t349 @t202))))) @t347)) 0.53/1.05 (define @t353 () (_ @t207 @v.2.Y3)) 0.53/1.05 (define @t354 () (_ @t64 (_ @t353 @v.0.P6))) 0.53/1.05 (define @t355 () (exists @t203 (and (_ (_ (_ (_ @t210 @t348) @v.3.A3) @v.2.Y3) @v.0.Rel) @t354))) 0.53/1.05 (define @t356 () (_ tptp.fresh_name_pi @v.2.Y3)) 0.53/1.05 (define @t357 () (not (= @v.0.X @v.2.Y3))) 0.53/1.05 (define @t358 () (_ @t148 @v.3.A3)) 0.53/1.05 (define @t359 () (_ @t24 (_ @t353 @v.0.Q2))) 0.53/1.05 (define @t360 () (@list @v.0.Q2 @v.3.A3 @v.2.Y3)) 0.53/1.05 (define @t361 () (_ @t64 (_ (_ @t261 @v.0.X) @v.0.P6))) 0.53/1.05 (define @t362 () (not (= @v.1.A3 @v.0.X))) 0.53/1.05 (define @t363 () (_ @t24 (_ (_ tptp.late_FreeR (_ @t101 @v.0.X)) @v.0.Q2))) 0.53/1.05 (define @t364 () (@list @v.0.Q2 @v.1.A3)) 0.53/1.05 (define @t365 () (forall @t364 (=> @t363 (=> @t362 (exists @t203 (and @t361 @t200)))))) 0.53/1.05 (define @t366 () (_ @t244 @v.0.Rs)) 0.53/1.05 (define @t367 () (_ (_ (_ tptp.match @v.0.X32) @v.1.X2) @v.0.X1)) 0.53/1.05 (define @t368 () (= @v.5.B @v.4.B2)) 0.53/1.05 (define @t369 () (= (_ (_ tptp.produc1275980869_pi_pi @v.2.A) @v.5.B) (_ (_ tptp.produc1275980869_pi_pi @v.0.A2) @v.4.B2))) 0.53/1.05 (define @t370 () (@list @v.2.A @v.5.B @v.0.A2 @v.4.B2)) 0.53/1.05 (define @t371 () (@list @v.0.A @v.1.B @v.0.P)) 0.53/1.05 (define @t372 () (_ (_ tptp.fresh_225680151ion_pi @v.0.A) (_ (_ tptp.produc1342893193ion_pi @v.2.X) @v.5.Y))) 0.53/1.05 (define @t373 () (@list @v.0.A @v.2.X @v.5.Y)) 0.53/1.05 (define @t374 () (_ @t36 @v.3.X)) 0.53/1.05 (define @t375 () (_ (_ tptp.fresh_785364841reeRes @v.1.B) @t291)) 0.53/1.05 (define @t376 () (@list @v.1.B @v.0.A @v.3.X)) 0.53/1.05 (define @t377 () (_ @t20 (_ @t54 (_ @t144 (_ @t108 (_ @t107 @v.1.Y)))))) 0.53/1.05 (define @t378 () (_ @t239 @v.0.Q)) 0.53/1.05 (define @t379 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @v.0.A))) 0.53/1.05 (define @t380 () (_ @t379 @v.1.Y)) 0.53/1.05 (define @t381 () (_ @t64 (_ @t380 @v.0.P3))) 0.53/1.05 (define @t382 () (@list @v.0.P @v.0.A @v.1.Y @v.0.P3 @v.0.Q @v.0.X @v.0.Q3)) 0.53/1.05 (define @t383 () (=> (forall @t205 (=> @t204 (exists @t203 (and @t200 @t202)))) @t198)) 0.53/1.05 (define @t384 () (_ (_ tptp.sum @v.0.P) @v.0.Q)) 0.53/1.05 (define @t385 () (_ (_ tptp.late_transitions @t384) @v.0.Rs)) 0.53/1.05 (define @t386 () (_ @t24 @v.0.Rs)) 0.53/1.05 (define @t387 () (@list @v.0.P @v.0.Alpha2 @v.0.P3 @v.1.Y)) 0.53/1.05 (define @t388 () (@list @v.0.P @v.0.C @v.0.D)) 0.53/1.05 (define @t389 () (_ (_ tptp.fresh_453496559i_name @v.0.A) (_ (_ tptp.produc540578151i_name @v.2.X) @v.1.Y))) 0.53/1.05 (define @t390 () (@list @v.0.A @v.2.X @v.1.Y)) 0.53/1.05 (define @t391 () (@list @v.6.Y)) 0.53/1.05 (define @t392 () (_ (_ (_ tptp.mismatch @v.0.Name12) @v.0.Name22) @v.0.Pi3)) 0.53/1.05 (define @t393 () (_ tptp.subs @t301)) 0.53/1.05 (define @t394 () (not (= @v.0.X @v.0.D))) 0.53/1.05 (define @t395 () (not (= @v.0.X @v.0.C))) 0.53/1.05 (define @t396 () (_ @v.4.P @v.5.X)) 0.53/1.05 (define @t397 () (_ tptp.produc235456326_pi_pi @v.2.B3)) 0.53/1.05 (define @t398 () (_ @t193 (_ @t397 (_ (_ tptp.product_Pair_pi_pi @v.0.C2) @v.0.D2)))) 0.53/1.05 (define @t399 () (@list @v.2.A3 @v.2.B3 @v.0.C2 @v.0.D2)) 0.53/1.05 (define @t400 () (@list @v.4.P @v.5.X)) 0.53/1.05 (define @t401 () (@list @v.1.C2)) 0.53/1.05 (define @t402 () (@list @v.0.Pi1 @v.0.Pi2 @v.0.Name @v.0.Pi)) 0.53/1.05 (define @t403 () (_ @v.11.P @v.1.Z2)) 0.53/1.05 (define @t404 () (_ @v.11.P @v.2.Za)) 0.53/1.05 (define @t405 () (@list @v.2.Za)) 0.53/1.05 (define @t406 () (forall @t405 (_ @t404 @v.0.Pi4))) 0.53/1.05 (define @t407 () (@list @v.0.Pi4 @v.1.Z2)) 0.53/1.05 (define @t408 () (forall @t405 (_ @t404 @v.0.Pi23))) 0.53/1.05 (define @t409 () (forall @t405 (_ @t404 @v.0.Pi13))) 0.53/1.05 (define @t410 () (@list @v.0.Pi13 @v.0.Pi23 @v.1.Z2)) 0.53/1.05 (define @t411 () (@list @v.0.Name13 @v.0.Name23 @v.0.Pi4 @v.1.Z2)) 0.53/1.05 (define @t412 () (_ (_ tptp.produc1820286517_pi_pi @v.2.A3) @v.0.B3)) 0.53/1.05 (define @t413 () (@list @v.2.A3 @v.0.B3)) 0.53/1.05 (define @t414 () (forall @t413 (_ @v.12.P @t412))) 0.53/1.05 (define @t415 () (= @v.1.X1 @v.1.Y1)) 0.53/1.05 (define @t416 () (_ (_ tptp.late_OutputR @v.1.X2) @v.1.X1)) 0.53/1.05 (define @t417 () (=> @t254 (=> (_ @t215 @v.0.Q4) @t253))) 0.53/1.05 (define @t418 () (_ tptp.par @v.0.P5)) 0.53/1.05 (define @t419 () (= @t19 (_ @t418 @v.0.Q4))) 0.53/1.05 (define @t420 () (_ (_ tptp.produc1342893193ion_pi @v.2.A3) @v.5.B3)) 0.53/1.05 (define @t421 () (@list @v.2.A3 @v.5.B3)) 0.53/1.05 (define @t422 () (forall @t421 (_ @v.14.P @t420))) 0.53/1.05 (define @t423 () (_ (_ tptp.sum @v.0.X2) @v.0.X1)) 0.53/1.05 (define @t424 () (@list @v.0.X2 @v.0.X1 @v.1.Y2 @v.0.Y1)) 0.53/1.05 (define @t425 () (_ (_ @t17 @v.0.Y4) @v.0.P3)) 0.53/1.05 (define @t426 () (_ (_ tptp.res @v.0.X5) @v.0.P)) 0.53/1.05 (define @t427 () (= @v.2.X1 @v.2.Y1)) 0.53/1.05 (define @t428 () (_ (_ @t188 @v.0.A) @v.0.P)) 0.53/1.05 (define @t429 () (_ (_ tptp.strong743114133lation tptp.piNil) @v.0.Rel)) 0.53/1.05 (define @t430 () (_ (_ tptp.res @v.1.X1) @v.0.X2)) 0.53/1.05 (define @t431 () (= @v.0.X @v.1.Y)) 0.53/1.05 (define @t432 () (not (= @v.0.A @v.0.C))) 0.53/1.05 (define @t433 () (_ @v.15.P @v.3.Z2)) 0.53/1.05 (define @t434 () (_ @v.15.P @v.3.Za)) 0.53/1.05 (define @t435 () (@list @v.3.Za)) 0.53/1.05 (define @t436 () (forall @t435 (_ @t434 @v.0.Pi4))) 0.53/1.05 (define @t437 () (@list @v.0.Pi4 @v.3.Z2)) 0.53/1.05 (define @t438 () (_ (_ tptp.fresh_1376661020_pi_pi @v.0.Name4) @v.3.Z2)) 0.53/1.05 (define @t439 () (forall @t435 (_ @t434 @v.0.Pi23))) 0.53/1.05 (define @t440 () (forall @t435 (_ @t434 @v.0.Pi13))) 0.53/1.05 (define @t441 () (@list @v.0.Pi13 @v.0.Pi23 @v.3.Z2)) 0.53/1.05 (define @t442 () (@list @v.0.Name13 @v.0.Name23 @v.0.Pi4 @v.3.Z2)) 0.53/1.05 (define @t443 () (_ @t302 (_ @t63 @v.0.P))) 0.53/1.05 (define @t444 () (@list @v.0.Pi3 @v.0.Pi12 @v.0.Pi22)) 0.53/1.05 (define @t445 () (_ @t54 @v.0.P3)) 0.53/1.05 (define @t446 () (@list @v.1.X1 @v.1.Y1)) 0.53/1.05 (define @t447 () (_ @t20 (_ @t54 (_ @t144 (_ (_ tptp.par (_ @t53 @v.1.Y)) @v.0.Q3))))) 0.53/1.05 (define @t448 () (not @t431)) 0.53/1.05 (define @t449 () (not (= @v.1.Y @v.0.A))) 0.53/1.05 (define @t450 () (_ @t24 (_ @t380 @v.0.Q3))) 0.53/1.05 (define @t451 () (@list @v.0.P @v.0.A @v.0.X @v.0.P3 @v.0.Q @v.1.Y @v.0.Q3)) 0.53/1.05 (define @t452 () (_ @t37 @v.3.X)) 0.53/1.05 (define @t453 () (@list @v.0.P5)) 0.53/1.05 (define @t454 () (_ @t97 (_ (_ tptp.product_Pair_pi_pi @v.0.B3) @v.0.C2))) 0.53/1.05 (define @t455 () (@list @v.1.A3 @v.0.B3 @v.0.C2)) 0.53/1.05 (define @t456 () (_ tptp.late_BoundOutputS @v.1.X1)) 0.53/1.05 (define @t457 () (_ tptp.late_transitions (_ @t86 (_ (_ @t300 @v.1.Y) @v.0.P)))) 0.53/1.05 (define @t458 () (_ @v.1.F @v.0.A)) 0.53/1.05 (define @t459 () (_ @t458 @v.1.B)) 0.53/1.05 (define @t460 () (@list @v.0.A @v.1.B @v.0.P @v.0.Rs @v.1.F)) 0.53/1.05 (define @t461 () (_ (_ tptp.fresh_1641682979reeRes @v.1.Y) @v.0.Alpha2)) 0.53/1.05 (define @t462 () (_ tptp.fresh_81631222sidual @v.0.A)) 0.53/1.05 (define @t463 () (_ @v.16.P @v.2.Z2)) 0.53/1.05 (define @t464 () (_ @v.17.P @v.3.Z2)) 0.53/1.05 (define @t465 () (_ tptp.abs_fun_name_pi @v.0.A)) 0.53/1.05 (define @t466 () (_ @t465 @v.1.X)) 0.53/1.05 (define @t467 () (_ (_ tptp.late_BoundR @v.1.A5) @v.1.X4)) 0.53/1.05 (define @t468 () (_ tptp.late_transitions @v.0.P7)) 0.53/1.05 (define @t469 () (@list @v.0.P8)) 0.53/1.05 (define @t470 () (_ tptp.late_transitions @v.0.Q5)) 0.53/1.05 (define @t471 () (_ tptp.late_FreeR @v.0.Alpha3)) 0.53/1.05 (define @t472 () (_ (_ @t77 @v.1.B) @v.0.C)) 0.53/1.05 (define @t473 () (_ @t83 @v.1.X)) 0.53/1.05 (define @t474 () (_ (_ tptp.fresh_543891186ion_pi @v.1.B) @t466)) 0.53/1.05 (define @t475 () (@list @v.1.B @v.0.A @v.1.X)) 0.53/1.05 (define @t476 () (@list @v.0.X @v.1.Y)) 0.53/1.05 (define @t477 () (_ @t1 @v.0.P)) 0.53/1.05 (define @t478 () (not @t74)) 0.53/1.05 (define @t479 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @v.1.B))) 0.53/1.05 (define @t480 () (= @v.6.B @v.5.B2)) 0.53/1.05 (define @t481 () (= (_ (_ tptp.produc1342893193ion_pi @v.2.A) @v.6.B) (_ (_ tptp.produc1342893193ion_pi @v.0.A2) @v.5.B2))) 0.53/1.05 (define @t482 () (@list @v.2.A @v.6.B @v.0.A2 @v.5.B2)) 0.53/1.05 (define @t483 () (@list @v.1.Y @v.0.R @v.0.S)) 0.53/1.05 (define @t484 () (forall @t483 (=> @t240 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t144 @t238)) @t236)) tptp.rel)))) 0.53/1.05 (define @t485 () (_ @t193 (_ @t397 @v.2.C2))) 0.53/1.05 (define @t486 () (@list @v.2.A3 @v.2.B3 @v.2.C2)) 0.53/1.05 (define @t487 () (_ (_ (_ tptp.subs @t140) tptp.y) tptp.u)) 0.53/1.05 (define @t488 () (not (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t172) (_ @t169 @t487))) tptp.rel))) 0.53/1.05 (define @t489 () (= (_ (_ tptp.produc1820286517_pi_pi @v.2.A) @v.2.B) (_ (_ tptp.produc1820286517_pi_pi @v.0.A2) @v.1.B2))) 0.53/1.05 (define @t490 () (@list @v.2.A @v.2.B @v.0.A2 @v.1.B2)) 0.53/1.05 (define @t491 () (_ tptp.tau @v.0.X1)) 0.53/1.05 (define @t492 () (@list @v.0.A @v.0.X1)) 0.53/1.05 (define @t493 () (_ (_ (_ tptp.subs @v.0.Q) @v.0.C) @v.0.D)) 0.53/1.05 (define @t494 () (@list @v.0.P @v.0.Q @v.0.C @v.0.D)) 0.53/1.05 (define @t495 () (@list @v.0.P @v.0.A @v.1.B @v.0.P3)) 0.53/1.05 (define @t496 () (_ tptp.bang @v.0.X1)) 0.53/1.05 (define @t497 () (@list @v.0.X1 @v.0.Y1)) 0.53/1.05 (define @t498 () (@list @v.0.Name4)) 0.53/1.05 (define @t499 () (= @t487 (_ @t139 @t167))) 0.53/1.05 (define @t500 () (const 0 (@ho-elim-sort (-> tptp.name tptp.pi tptp.pi)))) 0.53/1.05 (define @t501 () (const 1 (-> (@ho-elim-sort (-> tptp.name tptp.pi tptp.pi)) tptp.name (@ho-elim-sort (-> tptp.pi tptp.pi))))) 0.53/1.05 (define @t502 () (_ @t501 @t500 @v.1.Y)) 0.53/1.05 (define @t503 () (const 2 (-> (@ho-elim-sort (-> tptp.pi tptp.pi)) tptp.pi tptp.pi))) 0.53/1.05 (define @t504 () (const 3 (@ho-elim-sort (-> tptp.pi tptp.pi tptp.pi)))) 0.53/1.05 (define @t505 () (const 4 (-> (@ho-elim-sort (-> tptp.pi tptp.pi tptp.pi)) tptp.pi (@ho-elim-sort (-> tptp.pi tptp.pi))))) 0.53/1.05 (define @t506 () (_ @t505 @t504 @v.0.R)) 0.53/1.05 (define @t507 () (const 5 (@ho-elim-sort (-> tptp.pi tptp.pi tptp.product_prod_pi_pi)))) 0.53/1.05 (define @t508 () (const 6 (-> (@ho-elim-sort (-> tptp.pi tptp.pi tptp.product_prod_pi_pi)) tptp.pi (@ho-elim-sort (-> tptp.pi tptp.product_prod_pi_pi))))) 0.53/1.05 (define @t509 () (const 7 (-> (@ho-elim-sort (-> tptp.pi tptp.product_prod_pi_pi)) tptp.pi tptp.product_prod_pi_pi))) 0.53/1.05 (define @t510 () (const 8 (@ho-elim-sort (-> tptp.product_prod_pi_pi tptp.set_Pr1834926343_pi_pi Bool)))) 0.53/1.05 (define @t511 () (const 9 (-> (@ho-elim-sort (-> tptp.product_prod_pi_pi tptp.set_Pr1834926343_pi_pi Bool)) tptp.product_prod_pi_pi (@ho-elim-sort (-> tptp.set_Pr1834926343_pi_pi Bool))))) 0.53/1.05 (define @t512 () (const 10 (-> (@ho-elim-sort (-> tptp.set_Pr1834926343_pi_pi Bool)) tptp.set_Pr1834926343_pi_pi Bool))) 0.53/1.05 (define @t513 () (const 11 (@ho-elim-sort (-> tptp.name tptp.pi Bool)))) 0.53/1.05 (define @t514 () (const 12 (-> (@ho-elim-sort (-> tptp.name tptp.pi Bool)) tptp.name (@ho-elim-sort (-> tptp.pi Bool))))) 0.53/1.05 (define @t515 () (const 13 (-> (@ho-elim-sort (-> tptp.pi Bool)) tptp.pi Bool))) 0.53/1.05 (define @t516 () (forall @t483 (or (not (_ @t515 (_ @t514 @t513 @v.1.Y) @v.0.R)) (_ @t512 (_ @t511 @t510 (_ @t509 (_ @t508 @t507 (_ @t503 @t502 (_ @t503 @t506 @v.0.S))) (_ @t503 @t506 (_ @t503 @t502 @v.0.S)))) tptp.rel)))) 0.53/1.05 (define @t517 () (forall @t483 (or (not (tptp.fresh_name_pi @v.1.Y @v.0.R)) (tptp.member558706512_pi_pi (tptp.product_Pair_pi_pi (tptp.res @v.1.Y (tptp.par @v.0.R @v.0.S)) (tptp.par @v.0.R (tptp.res @v.1.Y @v.0.S))) tptp.rel)))) 0.53/1.05 (define @t518 () (_ @t501 @t500 tptp.x)) 0.53/1.05 (define @t519 () (const 14 (@ho-elim-sort (-> tptp.pi tptp.name tptp.name tptp.pi)))) 0.53/1.05 (define @t520 () (const 15 (-> (@ho-elim-sort (-> tptp.pi tptp.name tptp.name tptp.pi)) tptp.pi (@ho-elim-sort (-> tptp.name tptp.name tptp.pi))))) 0.53/1.05 (define @t521 () (const 16 (-> (@ho-elim-sort (-> tptp.name tptp.name tptp.pi)) tptp.name (@ho-elim-sort (-> tptp.name tptp.pi))))) 0.53/1.05 (define @t522 () (const 17 (-> (@ho-elim-sort (-> tptp.name tptp.pi)) tptp.name tptp.pi))) 0.53/1.05 (define @t523 () (_ @t522 (_ @t521 (_ @t520 @t519 (_ @t503 @t518 tptp.q)) tptp.y) tptp.u)) 0.53/1.05 (define @t524 () (_ @t522 (_ @t521 (_ @t520 @t519 tptp.p2) tptp.y) tptp.u)) 0.53/1.05 (define @t525 () (_ @t505 @t504 @t524)) 0.53/1.05 (define @t526 () (_ @t522 (_ @t521 (_ @t520 @t519 (_ @t503 @t518 (_ @t503 (_ @t505 @t504 tptp.p2) tptp.q))) tptp.y) tptp.u)) 0.53/1.05 (define @t527 () (_ @t522 (_ @t521 (_ @t520 @t519 tptp.q) tptp.y) tptp.u)) 0.53/1.05 (define @t528 () (_ @t503 @t518 @t527)) 0.53/1.05 (define @t529 () (_ @t503 @t518 (_ @t503 @t525 @t527))) 0.53/1.05 (define @t530 () (_ @t515 (_ @t514 @t513 tptp.x) @t524)) 0.53/1.05 (define @t531 () (_ @t512 (_ @t511 @t510 (_ @t509 (_ @t508 @t507 @t529) (_ @t503 @t525 @t528))) tptp.rel)) 0.53/1.05 (define @t532 () (not @t530)) 0.53/1.05 (define @t533 () (or @t532 @t531)) 0.53/1.05 (define @t534 () (not @t533)) 0.53/1.05 (assume @p1 (forall @t2 (_ @t1 tptp.piNil))) 0.53/1.05 (assume @p2 (forall @t5 (not (= @t4 @t3)))) 0.53/1.05 (assume @p3 (forall @t9 (= (_ @t1 @t8) @t7))) 0.53/1.05 (assume @p4 (forall @t14 (= (= @t13 (_ (_ (_ tptp.mismatch @v.0.Y32) @v.0.Y2) @v.0.Y1)) (and @t12 @t11 @t10)))) 0.53/1.05 (assume @p5 (forall @t26 (=> @t25 (=> @t23 @t21)))) 0.53/1.05 (assume @p6 (forall @t31 (= (_ @t1 @t13) @t30))) 0.53/1.05 (assume @p7 (forall @t35 (= @t34 (and @t33 @t32)))) 0.53/1.05 (assume @p8 (forall (@list @v.0.A @v.1.B @v.0.P @v.0.Alpha2 @v.0.P3) (=> @t43 (not (or (_ @t37 @v.0.Alpha2) (_ @t36 @v.0.Alpha2)))))) 0.53/1.05 (assume @p9 (forall @t46 (not (= @t45 @t44)))) 0.53/1.05 (assume @p10 (forall (@list @v.0.A @v.1.X @v.0.Y) (= (_ (_ tptp.fresh_1504024600reeRes @v.0.A) (_ (_ tptp.produc1638681944reeRes @v.1.X) @v.0.Y)) (and @t48 @t47)))) 0.53/1.05 (assume @p11 (forall (@list @v.0.X32 @v.1.X1 @v.0.X2 @v.0.Y32 @v.1.Y1 @v.1.Y2) (= (= @t51 (_ (_ (_ tptp.input @v.0.Y32) @v.1.Y1) @v.1.Y2)) (and @t50 @t12)))) 0.53/1.05 (assume @p12 (forall (@list @v.0.A @v.0.X @v.0.Y) (= (_ (_ tptp.fresh_1963366730reeRes @v.0.A) (_ (_ tptp.produc1531804426reeRes @v.0.X) @v.0.Y)) (and @t48 @t52)))) 0.53/1.05 (assume @p13 (forall @t66 (=> @t65 (=> @t62 (=> @t23 (=> @t59 (=> @t58 (=> @t57 (=> @t56 @t55))))))))) 0.53/1.05 (assume @p14 (forall @t68 (= (_ (_ tptp.fresh_441084397e_name @v.0.A) (_ (_ tptp.produc1570949143e_name @v.0.X) @v.1.Y)) (and @t52 @t67)))) 0.53/1.05 (assume @p15 (forall (@list @v.0.X1 @v.0.X2 @v.0.Y1 @v.1.Y2) (= (= (_ (_ tptp.product_Pair_pi_pi @v.0.X1) @v.0.X2) (_ (_ tptp.product_Pair_pi_pi @v.0.Y1) @v.1.Y2)) @t70))) 0.53/1.05 (assume @p16 (forall @t72 (not (= tptp.piNil @t71)))) 0.53/1.05 (assume @p17 (forall @t76 (= @t75 (and @t74 @t73)))) 0.53/1.05 (assume @p18 (forall (@list @v.0.P2) (exists (@list @v.0.X3 @v.0.Y3) (= @v.0.P2 (_ (_ tptp.produc1820286517_pi_pi @v.0.X3) @v.0.Y3))))) 0.53/1.05 (assume @p19 (forall @t85 (=> @t84 (= (_ (_ (_ tptp.subs @t82) @v.0.A) @v.1.B) @t81)))) 0.53/1.05 (assume @p20 (forall (@list @v.0.X @v.1.B @v.0.P @v.0.Rs) (not (_ (_ tptp.late_transitions (_ @t86 (_ (_ (_ tptp.output @v.0.X) @v.1.B) @v.0.P))) @v.0.Rs)))) 0.53/1.05 (assume @p21 (forall (@list @v.1.P @v.0.Prod) (=> @t89 (_ @v.1.P @v.0.Prod)))) 0.53/1.05 (assume @p22 (forall @t92 (=> @t91 @t90))) 0.53/1.05 (assume @p23 (forall @t95 (not (= @t94 @t93)))) 0.53/1.05 (assume @p24 (= tptp.fresh_name_name (lambda (@list @v.0.A5 @v.0.B4) (not @t96)))) 0.53/1.05 (assume @p25 (forall (@list @v.0.Rs) (not (_ (_ tptp.late_transitions tptp.piNil) @v.0.Rs)))) 0.53/1.05 (assume @p26 (forall @t72 (not (= tptp.piNil @t93)))) 0.53/1.05 (assume @p27 (forall @t100 (not (forall @t99 (not (= @v.3.Y @t98)))))) 0.53/1.05 (assume @p28 (forall @t106 (=> (_ @t42 @v.0.Rs) (not (forall (@list @v.1.A3 @v.2.B3 @v.0.P5) (=> (and @t105 @t104 @t103) (not (= @v.0.Rs (_ @t102 @v.0.P5))))))))) 0.53/1.05 (assume @p29 (forall @t114 (=> @t113 (=> @t111 (=> @t23 (=> @t59 (=> @t58 (=> @t57 (=> @t110 @t109))))))))) 0.53/1.05 (assume @p30 (forall (@list @v.2.X2 @v.0.X1 @v.2.Y2 @v.0.Y1) (= (= @t116 (_ (_ tptp.late_FreeR @v.2.Y2) @v.0.Y1)) (and @t10 @t115)))) 0.53/1.05 (assume @p31 (forall (@list @v.4.A @v.1.P) (= (_ (_ tptp.member558706512_pi_pi @v.4.A) @t117) (_ @v.1.P @v.4.A)))) 0.53/1.05 (assume @p32 (forall @t95 (not (= @t45 @t71)))) 0.53/1.05 (assume @p33 (forall (@list @v.2.P @v.0.Z @v.0.Pi3) (=> (forall (@list @v.0.Z2) (_ @t119 tptp.piNil)) (=> (forall @t132 (=> @t122 (_ @t119 @t138))) (=> (forall @t123 (=> @t122 (_ @t119 @t137))) (=> (forall @t132 (=> (_ (_ tptp.fresh_1641682979reeRes @v.0.Name23) @v.0.Z2) (=> @t136 (=> @t122 (_ @t119 @t134))))) (=> (forall @t132 (=> @t122 (_ @t119 @t133))) (=> (forall @t132 (=> @t122 (_ @t119 @t131))) (=> (forall @t129 (=> @t128 (=> @t127 (_ @t119 @t130)))) (=> (forall @t129 (=> @t128 (=> @t127 (_ @t119 @t126)))) (=> (forall (@list @v.0.Name4 @v.0.Pi4 @v.0.Z2) (=> @t125 (=> @t122 (_ @t119 @t124)))) (=> (forall @t123 (=> @t122 (_ @t119 @t118))) (_ (_ @v.2.P @v.0.Z) @v.0.Pi3))))))))))))) 0.53/1.05 (assume @p34 (_ @t143 @t142)) 0.53/1.05 (assume @p35 (forall @t154 (=> @t153 (=> @t151 (=> @t150 (=> @t23 (=> @t149 @t147))))))) 0.53/1.05 (assume @p36 (_ (_ tptp.fresh_1376661020_pi_pi tptp.y) (_ (_ tptp.produc235456326_pi_pi tptp.x) (_ (_ tptp.product_Pair_pi_pi tptp.p) tptp.q)))) 0.53/1.05 (assume @p37 (forall (@list @v.0.Pi3 @v.0.Name @v.0.Pi) (not (= @t156 @t155)))) 0.53/1.05 (assume @p38 (forall @t159 (=> @t153 (=> @t23 (=> @t59 (=> @t149 @t158)))))) 0.53/1.05 (assume @p39 (forall @t164 (= (_ (_ (_ tptp.subs @t41) @v.0.C) @v.0.D) (_ (_ (_ tptp.output @t163) @t161) @t160)))) 0.53/1.05 (assume @p40 (forall @t92 (=> @t91 @t166))) 0.53/1.05 (assume @p41 @t173) 0.53/1.05 (assume @p42 (forall @t174 (not (= @t45 @t3)))) 0.53/1.05 (assume @p43 (forall @t174 (not (= @t94 @t3)))) 0.53/1.05 (assume @p44 (forall (@list @v.3.P @v.1.Prod) (=> @t177 (_ @v.3.P @v.1.Prod)))) 0.53/1.05 (assume @p45 (_ @t143 @t140)) 0.53/1.05 (assume @p46 (forall (@list @v.0.Pi1 @v.0.Pi2 @v.0.Pi12 @v.0.Pi22) (not (= @t4 @t178)))) 0.53/1.05 (assume @p47 (forall (@list @v.0.P @v.0.Q @v.1.A @v.0.X @v.0.PQ @v.0.Prop) (=> (_ @t20 (_ @t18 @v.0.PQ)) (=> @t23 (=> @t59 (=> (forall @t181 (=> @t180 (_ @v.0.Prop (_ @t179 @v.0.Q)))) (=> (forall (@list @v.0.Q2) (=> (_ @t24 (_ @t18 @v.0.Q2)) (_ @v.0.Prop (_ @t15 @v.0.Q2)))) (_ @v.0.Prop @v.0.PQ)))))))) 0.53/1.05 (assume @p48 (forall @t5 (not (= @t182 @t3)))) 0.53/1.05 (assume @p49 (forall (@list @v.1.X32 @v.1.X1 @v.0.X2 @v.1.Y32 @v.1.Y1 @v.1.Y2) (= (= @t183 (_ (_ (_ tptp.late_BoundR @v.1.Y32) @v.1.Y1) @v.1.Y2)) (and (= @v.1.X32 @v.1.Y32) @t50)))) 0.53/1.05 (assume @p50 (forall @t187 (= (_ @t186 @t185) @t184))) 0.53/1.05 (assume @p51 (forall @t164 (= (_ (_ (_ tptp.subs @t189) @v.0.C) @v.0.D) (_ (_ (_ tptp.mismatch @t163) @t161) @t160)))) 0.53/1.05 (assume @p52 (forall @t192 (=> @t191 @t52))) 0.53/1.05 (assume @p53 (forall (@list @v.4.P @v.2.Prod) (=> @t196 (_ @v.4.P @v.2.Prod)))) 0.53/1.05 (assume @p54 (forall (@list @v.0.Name @v.0.Pi) (not (= tptp.piNil @t155)))) 0.53/1.05 (assume @p55 (forall (@list @v.0.Rel @v.0.Q @v.0.P @v.0.C3) (=> @t221 (=> (forall @t220 (=> @t219 (=> @t217 (=> @t216 (=> @t214 (=> (_ (_ tptp.fresh_name_name @v.1.X3) @v.0.C3) @t213)))))) @t206)))) 0.53/1.05 (assume @p56 (forall @t225 (=> @t224 (not (=> @t223 (not @t222)))))) 0.53/1.05 (assume @p57 (forall (@list @v.0.Pi3 @v.0.Pi) (not (= @t156 @t3)))) 0.53/1.05 (assume @p58 (forall @t229 (=> (forall @t228 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t227) @v.0.Q4)) @v.0.Rel)) (_ (_ (_ tptp.strong743114133lation @t226) @v.0.Rel) @v.0.P)))) 0.53/1.05 (assume @p59 (forall (@list @v.1.P2) (exists (@list @v.0.X3 @v.1.Y3) (= @v.1.P2 (_ (_ tptp.produc1505598906reeRes @v.0.X3) @v.1.Y3))))) 0.53/1.05 (assume @p60 (forall @t231 (not (= @t230 @t155)))) 0.53/1.05 (assume @p61 (forall (@list @v.0.A @v.0.X32 @v.1.X1 @v.0.X2) (= (_ @t1 @t51) (and @t232 @t28)))) 0.53/1.05 (assume @p62 (forall @t192 (=> @t191 @t234))) 0.53/1.05 (assume @p63 (forall (@list @v.1.Y @v.0.R @v.1.Z @v.0.S) (=> @t240 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t144 (_ @t237 @t238))) (_ @t237 @t236))) tptp.rel)))) 0.53/1.05 (assume @p64 (forall (@list @v.0.P @v.0.Rel @v.0.Q @v.0.Alpha2 @v.0.Q3) (=> @t198 (=> @t242 (exists @t181 (and (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @v.0.P4) @v.0.Q3)) @v.0.Rel) @t241)))))) 0.53/1.05 (assume @p65 (forall (@list @v.0.A @v.0.P) (_ @t1 @t82))) 0.53/1.05 (assume @p66 (forall (@list @v.0.X @v.0.P @v.0.Rs) (=> (_ @t265 @v.0.Rs) (=> (forall @t264 (=> (= @t250 @t263) (forall @t181 (=> (= @v.0.Rs @t262) @t260)))) (=> (forall @t258 (=> @t251 (=> (= @v.0.Rs @t257) @t256))) (not (forall @t252 (=> @t251 (=> (= @v.0.Rs @t248) @t245))))))))) 0.53/1.05 (assume @p67 (forall (@list @v.2.P2) (exists (@list @v.0.X3 @v.2.Y3) (= @v.2.P2 (_ (_ tptp.produc540578151i_name @v.0.X3) @v.2.Y3))))) 0.53/1.05 (assume @p68 (forall (@list @v.0.P @v.0.Alpha2 @v.0.P3 @v.0.Q) (=> @t266 (_ @t20 (_ @t38 @t157))))) 0.53/1.05 (assume @p69 (forall (@list @v.0.P @v.0.Alpha2 @v.0.P3 @v.1.Prop) (=> (_ @t270 @t39) (=> (=> (= @v.0.Alpha2 tptp.late_TauR) (=> @t268 (_ (_ @v.1.Prop tptp.late_TauR) @v.0.P))) @t267)))) 0.53/1.05 (assume @p70 (forall (@list @v.5.P @v.0.Z @v.0.Residual) (=> (forall (@list @v.0.Subject2 @v.0.Name4 @v.0.Pi4 @v.0.Z2) (=> @t125 (=> @t274 (_ @t272 @t273)))) (=> (forall (@list @v.0.FreeRes2 @v.0.Pi4 @v.0.Z2) (_ @t272 @t271)) (_ (_ @v.5.P @v.0.Z) @v.0.Residual))))) 0.53/1.05 (assume @p71 (_ @t275 tptp.p2)) 0.53/1.05 (assume @p72 (forall (@list @v.1.X2 @v.0.Y2) (= (= @t276 (_ tptp.late_BoundOutputS @v.0.Y2)) @t11))) 0.53/1.05 (assume @p73 (forall (@list @v.0.X @v.0.P @v.0.Alpha2 @v.0.P3) (=> (_ @t265 @t39) (not (forall @t252 (=> @t251 (=> (= @t39 @t248) @t245))))))) 0.53/1.05 (assume @p74 (forall (@list @v.4.P @v.3.P2) (=> @t196 (_ @v.4.P @v.3.P2)))) 0.53/1.05 (assume @p75 (forall @t278 (=> @t277 (_ @t190 @v.3.Y)))) 0.53/1.05 (assume @p76 (forall @t280 (=> @t279 @t90))) 0.53/1.05 (assume @p77 (forall @t72 (not (= tptp.piNil (_ (_ (_ tptp.output @v.0.Name1) @v.0.Name2) @v.0.Pi))))) 0.53/1.05 (assume @p78 (forall (@list @v.0.Q @v.0.Alpha2 @v.0.Q3 @v.0.P) (=> @t242 (_ @t20 (_ @t38 @t16))))) 0.53/1.05 (assume @p79 (forall @t283 (= @t282 (and @t32 @t281)))) 0.53/1.05 (assume @p80 (forall @t106 (=> @t286 @t284))) 0.53/1.05 (assume @p81 (forall (@list @v.0.X11 @v.0.X12) (not (= @t287 tptp.late_TauR)))) 0.53/1.05 (assume @p82 (forall @t289 (=> @t288 @t166))) 0.53/1.05 (assume @p83 (forall @t292 (= (= @t291 (_ @t290 @v.0.Y)) (= @v.3.X @v.0.Y)))) 0.53/1.05 (assume @p84 (forall (@list @v.1.P @v.1.Q) (=> (forall (@list @v.2.X3) (= (_ @v.1.P @v.2.X3) (_ @v.1.Q @v.2.X3))) (= @t117 (_ tptp.collec1051790738_pi_pi @v.1.Q))))) 0.53/1.05 (assume @p85 (forall (@list @v.6.P @v.2.P2) (=> @t295 (_ @v.6.P @v.2.P2)))) 0.53/1.05 (assume @p86 (forall @t72 (not (= tptp.piNil @t296)))) 0.53/1.05 (assume @p87 (forall @t26 (=> @t25 (=> @t23 (=> @t59 (=> @t149 @t21)))))) 0.53/1.05 (assume @p88 (forall @t14 (= (= @t297 (_ (_ (_ tptp.output @v.0.Y32) @v.0.Y2) @v.0.Y1)) (and @t10 @t11 @t12)))) 0.53/1.05 (assume @p89 (forall @t298 (not (= @t156 @t71)))) 0.53/1.05 (assume @p90 (forall (@list @v.7.P @v.0.FreeRes3) (=> (forall (@list @v.0.Name13 @v.0.Name23) (_ @v.7.P (_ (_ tptp.late_OutputR @v.0.Name13) @v.0.Name23))) (=> (_ @v.7.P tptp.late_TauR) (_ @v.7.P @v.0.FreeRes3))))) 0.53/1.05 (assume @p91 (forall @t2 (_ @t37 tptp.late_TauR))) 0.53/1.05 (assume @p92 (forall (@list @v.0.A @v.0.X @v.0.P @v.4.B @v.1.Y @v.0.P3) (=> (_ @t302 @t299) (not (_ @t186 @v.4.B))))) 0.53/1.05 (assume @p93 (forall (@list @v.0.Rel @v.0.P @v.0.Q @v.0.R) (=> (forall (@list @v.0.S2 @v.0.T @v.0.U) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t310) @t306)) @v.0.Rel)) (=> (forall (@list @v.0.S2 @v.0.T @v.1.X3) (=> (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @v.0.S2) @v.0.T)) @v.0.Rel) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t311) (_ @t307 @v.0.T))) @v.0.Rel))) (=> (forall @t309 (=> (_ @t215 @v.0.S2) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t307 @t310)) (_ @t305 (_ @t307 @t304)))) @v.0.Rel))) (=> (forall @t309 (=> (_ @t215 @v.0.U) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ (_ tptp.par (_ @t307 @t308)) @v.0.U)) (_ @t307 @t306))) @v.0.Rel))) (_ (_ (_ tptp.strong743114133lation (_ (_ tptp.par @t19) @v.0.R)) @v.0.Rel) (_ @t15 (_ @t303 @v.0.R))))))))) 0.53/1.05 (assume @p94 (forall (@list @v.0.X @v.0.P @v.0.A @v.1.B @v.0.P3) (not (_ @t312 @t112)))) 0.53/1.05 (assume @p95 (_ (_ tptp.fresh_717452603ubject tptp.y) tptp.aa)) 0.53/1.05 (assume @p96 (_ (_ tptp.late_transitions @t315) (_ @t313 @t171))) 0.53/1.05 (assume @p97 (forall (@list @v.0.X @v.0.P @v.1.A @v.1.Y @v.0.P3) (not (_ @t312 (_ (_ @t17 @v.1.Y) @v.0.P3))))) 0.53/1.05 (assume @p98 (forall @t283 (=> @t282 (not (=> @t32 (not @t281)))))) 0.53/1.05 (assume @p99 (forall (@list @v.8.P @v.2.Z @v.0.Residual) (=> (forall (@list @v.0.Subject2 @v.0.Name4 @v.0.Pi4 @v.1.Z2) (=> @t317 (=> @t274 (_ @t316 @t273)))) (=> (forall (@list @v.0.FreeRes2 @v.0.Pi4 @v.1.Z2) (_ @t316 @t271)) (_ (_ @v.8.P @v.2.Z) @v.0.Residual))))) 0.53/1.05 (assume @p100 (forall @t319 (not (= tptp.piNil @t318)))) 0.53/1.05 (assume @p101 (forall (@list @v.9.P @v.3.Prod) (=> @t320 (_ @v.9.P @v.3.Prod)))) 0.53/1.05 (assume @p102 (forall (@list @v.0.P) (_ @t270 (_ @t54 @v.0.P)))) 0.53/1.05 (assume @p103 (forall (@list @v.0.Y) (=> (forall (@list @v.0.X112 @v.0.X122) (not (= @v.0.Y (_ (_ tptp.late_OutputR @v.0.X112) @v.0.X122)))) (= @v.0.Y tptp.late_TauR)))) 0.53/1.05 (assume @p104 (forall (@list @v.0.X @v.0.P @v.0.Alpha2 @v.0.XP @v.0.F) (=> (_ @t265 (_ @t38 @v.0.XP)) (=> (forall @t181 (=> @t241 (=> (_ @t321 @v.0.Alpha2) (_ @v.0.F (_ @t86 @v.0.P4))))) (_ @v.0.F @v.0.XP))))) 0.53/1.05 (assume @p105 @t322) 0.53/1.05 (assume @p106 (forall @t298 (not (= @t156 @t296)))) 0.53/1.05 (assume @p107 (forall (@list @v.0.Rel @v.0.Q @v.0.P @v.1.C3) (=> @t221 (=> (forall @t220 (=> @t219 (=> @t217 (=> @t216 (=> @t214 (=> (_ @t215 @v.1.C3) @t213)))))) @t206)))) 0.53/1.05 (assume @p108 (forall (@list @v.1.B @v.0.A @v.4.X) (= (_ (_ tptp.fresh_2065563522_pi_pi @v.1.B) @t325) (or @t323 (_ (_ tptp.fresh_1376661020_pi_pi @v.1.B) @v.4.X))))) 0.53/1.05 (assume @p109 (forall (@list @v.0.X @v.0.A @v.1.B @v.0.P @v.0.C @v.1.Y @v.0.P3) (not (_ @t326 (_ (_ (_ tptp.late_BoundR (_ tptp.late_InputS @v.0.C)) @v.1.Y) @v.0.P3))))) 0.53/1.05 (assume @p110 (forall (@list @v.0.P @v.0.Rs @v.0.A @v.1.B) (=> @t329 (=> @t328 @t327)))) 0.53/1.05 (assume @p111 (forall (@list @v.0.X @v.1.Y @v.0.P @v.0.Rs) (not (_ (_ tptp.late_transitions (_ @t86 (_ (_ (_ tptp.input @v.0.X) @v.1.Y) @v.0.P))) @v.0.Rs)))) 0.53/1.05 (assume @p112 (forall @t334 (= @t333 (or @t323 @t330)))) 0.53/1.05 (assume @p113 (forall @t31 (= (_ @t1 @t297) (and @t6 @t29 @t28)))) 0.53/1.05 (assume @p114 (forall (@list @v.10.P @v.1.Z @v.0.Pi3) (=> (forall (@list @v.2.Z2) (_ @t335 tptp.piNil)) (=> (forall @t344 (=> @t338 (_ @t335 @t138))) (=> (forall @t339 (=> @t338 (_ @t335 @t137))) (=> (forall @t344 (=> (_ @t135 @v.2.Z2) (=> @t136 (=> @t338 (_ @t335 @t134))))) (=> (forall @t344 (=> @t338 (_ @t335 @t133))) (=> (forall @t344 (=> @t338 (_ @t335 @t131))) (=> (forall @t343 (=> @t342 (=> @t341 (_ @t335 @t130)))) (=> (forall @t343 (=> @t342 (=> @t341 (_ @t335 @t126)))) (=> (forall (@list @v.0.Name4 @v.0.Pi4 @v.2.Z2) (=> @t340 (=> @t338 (_ @t335 @t124)))) (=> (forall @t339 (=> @t338 (_ @t335 @t118))) (_ (_ @v.10.P @v.1.Z) @v.0.Pi3))))))))))))) 0.53/1.05 (assume @p115 (forall @t154 (=> @t153 (=> @t345 @t151)))) 0.53/1.05 (assume @p116 (forall @t154 (=> @t153 (=> @t345 (=> @t150 @t346))))) 0.53/1.05 (assume @p117 (forall (@list @v.0.Rel @v.0.Q @v.0.X @v.0.P @v.1.C3) (=> @t221 (=> @t365 (=> (forall @t360 (=> @t359 (=> @t358 (=> @t357 (=> (_ @t356 @v.1.C3) @t355))))) @t352))))) 0.53/1.05 (assume @p118 (forall @t106 (=> @t327 (not (forall @t264 (=> (and @t104 @t103 @t105) (=> @t366 @t259))))))) 0.53/1.05 (assume @p119 (forall @t278 (=> @t277 @t166))) 0.53/1.05 (assume @p120 (forall @t31 (= (_ @t1 @t367) @t30))) 0.53/1.05 (assume @p121 (forall @t370 (=> @t369 (not (=> @t32 (not @t368)))))) 0.53/1.05 (assume @p122 (forall @t85 (=> @t84 (= @t82 @t81)))) 0.53/1.05 (assume @p123 (forall @t371 (_ @t42 (_ @t61 @v.0.P)))) 0.53/1.05 (assume @p124 (forall @t373 (=> @t372 @t166))) 0.53/1.05 (assume @p125 (forall @t376 (= @t375 (or @t374 @t323)))) 0.53/1.05 (assume @p126 (forall @t66 (=> @t65 (=> @t62 @t55)))) 0.53/1.05 (assume @p127 (forall @t382 (=> @t381 (=> @t111 (=> @t378 @t377))))) 0.53/1.05 (assume @p128 (forall (@list @v.0.Rel @v.0.Q @v.0.P @v.2.C3) (=> @t221 (=> (forall @t220 (=> @t219 (=> @t217 (=> @t216 (=> @t214 (=> (_ (_ tptp.fresh_1641682979reeRes @v.1.X3) @v.2.C3) (exists @t203 (and @t209 @t212)))))))) @t383)))) 0.53/1.05 (assume @p129 (forall (@list @v.0.Q @v.0.Rs @v.0.P) (=> @t386 @t385))) 0.53/1.05 (assume @p130 (forall @t106 (=> (_ (_ tptp.late_transitions (_ (_ @t300 @v.1.B) @v.0.P)) @v.0.Rs) (not (forall (@list @v.1.X3 @v.1.A3 @v.0.P5) (=> (and (= (_ (_ tptp.abs_fun_name_pi @v.1.B) @v.0.P) (_ (_ tptp.abs_fun_name_pi @v.1.X3) @v.0.P5)) @t105) (=> (= @v.0.Rs (_ (_ (_ tptp.late_BoundR (_ tptp.late_InputS @v.1.A3)) @v.1.X3) @v.0.P5)) (= @v.1.X3 @v.1.A3)))))))) 0.53/1.05 (assume @p131 (forall (@list @v.0.P @v.0.Rel) (_ @t197 tptp.piNil))) 0.53/1.05 (assume @p132 (forall @t387 (=> @t266 (=> @t345 @t346)))) 0.53/1.05 (assume @p133 (forall @t388 (= (_ (_ (_ tptp.subs @t269) @v.0.C) @v.0.D) (_ tptp.tau @t160)))) 0.53/1.05 (assume @p134 (forall @t95 (not (= @t94 @t296)))) 0.53/1.05 (assume @p135 (forall (@list @v.0.X @v.0.A @v.0.P @v.1.B @v.1.Y @v.0.P3) (not (_ (_ tptp.late_transitions (_ @t86 (_ (_ @t40 @v.0.X) @v.0.P))) (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @v.1.B) @v.1.Y)) @v.0.P3))))) 0.53/1.05 (assume @p136 (forall @t390 (=> @t389 @t67))) 0.53/1.05 (assume @p137 (forall @t14 (= (= @t367 (_ (_ (_ tptp.match @v.0.Y32) @v.0.Y2) @v.0.Y1)) (and @t12 @t10 @t11)))) 0.53/1.05 (assume @p138 (forall @t46 (not (= @t94 @t178)))) 0.53/1.05 (assume @p139 (forall (@list @v.0.C @v.0.D) (= (_ (_ (_ tptp.subs tptp.piNil) @v.0.C) @v.0.D) tptp.piNil))) 0.53/1.05 (assume @p140 (forall @t391 (not (forall @t195 (not (= @v.6.Y @t194)))))) 0.53/1.05 (assume @p141 (forall @t46 (not (= @t392 @t178)))) 0.53/1.05 (assume @p142 (forall (@list @v.0.Rel @v.0.Q @v.0.X @v.0.P @v.0.C3) (=> @t221 (=> (forall @t364 (=> @t363 (=> @t362 (exists @t203 (and @t200 @t361))))) (=> (forall @t360 (=> @t359 (=> @t358 (=> @t357 (=> (_ (_ tptp.fresh_name_name @v.2.Y3) @v.0.C3) @t355))))) @t352))))) 0.53/1.05 (assume @p143 (forall (@list @v.0.X @v.0.A @v.0.C @v.0.D @v.0.P) (=> @t58 (=> @t395 (=> @t394 (= (_ (_ @t393 @v.0.C) @v.0.D) (_ (_ (_ tptp.input @t163) @v.0.X) @t160))))))) 0.53/1.05 (assume @p144 (forall @t35 (=> @t34 (not (=> @t32 (not @t33)))))) 0.53/1.05 (assume @p145 (forall @t400 (=> (forall @t399 (_ @v.4.P @t398)) @t396))) 0.53/1.05 (assume @p146 (forall (@list @v.4.X) (not (forall @t401 (not (_ (_ tptp.fresh_1376661020_pi_pi @v.1.C2) @v.4.X)))))) 0.53/1.05 (assume @p147 (forall (@list @v.0.P @v.0.A) (= (_ @t78 @v.0.A) @v.0.P))) 0.53/1.05 (assume @p148 (forall @t95 (not (= @t230 @t296)))) 0.53/1.05 (assume @p149 (forall @t402 (not (= @t182 @t155)))) 0.53/1.05 (assume @p150 (forall (@list @v.11.P @v.2.Z @v.0.Pi3) (=> (forall (@list @v.1.Z2) (_ @t403 tptp.piNil)) (=> (forall @t411 (=> @t406 (_ @t403 @t138))) (=> (forall @t407 (=> @t406 (_ @t403 @t137))) (=> (forall @t411 (=> (_ (_ tptp.fresh_name_pi @v.0.Name23) @v.1.Z2) (=> @t136 (=> @t406 (_ @t403 @t134))))) (=> (forall @t411 (=> @t406 (_ @t403 @t133))) (=> (forall @t411 (=> @t406 (_ @t403 @t131))) (=> (forall @t410 (=> @t409 (=> @t408 (_ @t403 @t130)))) (=> (forall @t410 (=> @t409 (=> @t408 (_ @t403 @t126)))) (=> (forall (@list @v.0.Name4 @v.0.Pi4 @v.1.Z2) (=> @t317 (=> @t406 (_ @t403 @t124)))) (=> (forall @t407 (=> @t406 (_ @t403 @t118))) (_ (_ @v.11.P @v.2.Z) @v.0.Pi3))))))))))))) 0.53/1.05 (assume @p151 (forall (@list @v.12.P @v.0.P2) (=> @t414 (_ @v.12.P @v.0.P2)))) 0.53/1.05 (assume @p152 (forall (@list @v.1.X2 @v.1.X1 @v.0.Y2 @v.1.Y1) (= (= @t416 (_ (_ tptp.late_OutputR @v.0.Y2) @v.1.Y1)) (and @t11 @t415)))) 0.53/1.05 (assume @p153 (forall @t280 (= @t279 (and @t47 @t90)))) 0.53/1.05 (assume @p154 (forall @t371 (=> @t328 (_ @t1 @t79)))) 0.53/1.05 (assume @p155 (forall (@list @v.0.P @v.0.Q @v.4.B @v.1.Y @v.0.P3) (=> (_ @t20 @t299) (=> (forall (@list @v.0.P5 @v.3.A3 @v.1.X3 @v.0.P4 @v.0.Q4) (=> @t419 (=> (= @t299 (_ @t208 (_ @t179 @v.0.Q4))) (=> @t255 @t417)))) (not (forall (@list @v.0.Q4 @v.3.A3 @v.1.X3 @v.0.Q2 @v.0.P5) (=> @t419 (=> (= @t299 (_ @t208 (_ @t418 @v.0.Q2))) (=> (_ (_ tptp.late_transitions @v.0.Q4) @t218) @t417))))))))) 0.53/1.05 (assume @p156 (forall @t298 (not (= @t156 @t93)))) 0.53/1.05 (assume @p157 (_ @t143 @t315)) 0.53/1.05 (assume @p158 (forall (@list @v.13.P @v.0.Residual) (=> (forall (@list @v.0.Subject2 @v.0.Name4 @v.0.Pi4) (_ @v.13.P @t273)) (=> (forall (@list @v.0.FreeRes2 @v.0.Pi4) (_ @v.13.P @t271)) (_ @v.13.P @v.0.Residual))))) 0.53/1.05 (assume @p159 (forall (@list @v.14.P @v.4.Prod) (=> @t422 (_ @v.14.P @v.4.Prod)))) 0.53/1.05 (assume @p160 (forall @t174 (not (= @t392 @t3)))) 0.53/1.05 (assume @p161 (forall @t424 (= (= @t423 (_ (_ tptp.sum @v.1.Y2) @v.0.Y1)) @t70))) 0.53/1.05 (assume @p162 (forall (@list @v.0.Rel @v.0.Q @v.0.X @v.0.P @v.3.C3) (=> @t221 (=> @t365 (=> (forall @t360 (=> @t359 (=> @t358 (=> @t357 (=> (_ (_ tptp.fresh_1376661020_pi_pi @v.2.Y3) @v.3.C3) @t355))))) @t352))))) 0.53/1.05 (assume @p163 (forall (@list @v.0.X5 @v.0.P @v.1.A @v.0.Y4 @v.0.P3) (=> (_ (_ tptp.late_transitions @t426) @t425) (=> (forall @t264 (=> (= @t426 @t263) (forall @t181 (=> (= @t425 @t262) @t260)))) (not (forall @t258 (=> (= @t426 @t249) (=> (= @t425 @t257) @t256)))))))) 0.53/1.05 (assume @p164 (forall (@list @v.2.X1 @v.0.X2 @v.2.Y1 @v.1.Y2) (= (= (_ (_ tptp.produc1820286517_pi_pi @v.2.X1) @v.0.X2) (_ (_ tptp.produc1820286517_pi_pi @v.2.Y1) @v.1.Y2)) (and @t69 @t427)))) 0.53/1.05 (assume @p165 (forall @t159 (=> @t153 (=> @t59 @t158)))) 0.53/1.05 (assume @p166 (forall (@list @v.0.Rel @v.0.A @v.0.P) (_ @t429 @t428))) 0.53/1.05 (assume @p167 (forall (@list @v.7.Y) (not (forall @t176 (not (= @v.7.Y @t175)))))) 0.53/1.05 (assume @p168 (forall (@list @v.0.A @v.1.X1 @v.0.X2) (= (_ @t1 @t430) @t232))) 0.53/1.05 (assume @p169 (forall @t229 (not (_ @t429 @t269)))) 0.53/1.05 (assume @p170 (forall (@list @v.0.A @v.4.X @v.3.Y) (= (= @t325 (_ @t324 @v.3.Y)) (= @v.4.X @v.3.Y)))) 0.53/1.05 (assume @p171 (forall (@list @v.6.P @v.5.Prod) (=> @t295 (_ @v.6.P @v.5.Prod)))) 0.53/1.05 (assume @p172 (forall @t68 (= (= @t332 (_ @t331 @v.1.Y)) @t431))) 0.53/1.05 (assume @p173 (forall (@list @v.1.B @v.0.P @v.0.A @v.0.C) (=> @t84 (= (_ (_ (_ tptp.subs @t79) @v.1.B) @v.0.C) (_ @t78 @v.0.C))))) 0.53/1.05 (assume @p174 (forall (@list @v.0.A @v.1.B @v.0.P @v.0.C @v.0.D @v.0.P3) (=> (_ @t42 (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @v.0.C) @v.0.D)) @v.0.P3)) (not (or @t432 (not (= @v.1.B @v.0.D))))))) 0.53/1.05 (assume @p175 (forall (@list @v.1.X1 @v.0.X2 @v.1.Y1 @v.1.Y2) (= (= @t430 (_ (_ tptp.res @v.1.Y1) @v.1.Y2)) @t50))) 0.53/1.05 (assume @p176 (forall (@list @v.0.A4) (= (_ tptp.collec1051790738_pi_pi (lambda (@list @v.0.X4) (_ (_ tptp.member558706512_pi_pi @v.0.X4) @v.0.A4))) @v.0.A4))) 0.53/1.05 (assume @p177 (_ @t143 tptp.q)) 0.53/1.05 (assume @p178 (forall (@list @v.0.A @v.1.B @v.0.P @v.0.Alpha2 @v.0.P3 @v.1.Prop) (=> @t43 (=> (=> (= @v.0.Alpha2 @t60) (=> @t268 (_ (_ @v.1.Prop @t60) @v.0.P))) @t267)))) 0.53/1.05 (assume @p179 (forall (@list @v.15.P @v.3.Z @v.0.Pi3) (=> (forall (@list @v.3.Z2) (_ @t433 tptp.piNil)) (=> (forall @t442 (=> @t436 (_ @t433 @t138))) (=> (forall @t437 (=> @t436 (_ @t433 @t137))) (=> (forall @t442 (=> (_ (_ tptp.fresh_1376661020_pi_pi @v.0.Name23) @v.3.Z2) (=> @t136 (=> @t436 (_ @t433 @t134))))) (=> (forall @t442 (=> @t436 (_ @t433 @t133))) (=> (forall @t442 (=> @t436 (_ @t433 @t131))) (=> (forall @t441 (=> @t440 (=> @t439 (_ @t433 @t130)))) (=> (forall @t441 (=> @t440 (=> @t439 (_ @t433 @t126)))) (=> (forall (@list @v.0.Name4 @v.0.Pi4 @v.3.Z2) (=> @t438 (=> @t436 (_ @t433 @t124)))) (=> (forall @t437 (=> @t436 (_ @t433 @t118))) (_ (_ @v.15.P @v.3.Z) @v.0.Pi3))))))))))))) 0.53/1.05 (assume @p180 (forall (@list @v.0.X11 @v.0.X12 @v.0.Y11 @v.0.Y12) (= (= @t287 (_ (_ tptp.late_OutputR @v.0.Y11) @v.0.Y12)) (and (= @v.0.X12 @v.0.Y12) (= @v.0.X11 @v.0.Y11))))) 0.53/1.05 (assume @p181 (forall (@list @v.0.X @v.0.A @v.0.P) (=> @t58 @t443))) 0.53/1.05 (assume @p182 (forall @t444 (not (= @t156 @t44)))) 0.53/1.05 (assume @p183 (forall (@list @v.0.Subject @v.0.Name3 @v.0.Pi3 @v.0.FreeRes @v.0.Pi) (not (= (_ (_ (_ tptp.late_BoundR @v.0.Subject) @v.0.Name3) @v.0.Pi3) (_ (_ tptp.late_FreeR @v.0.FreeRes) @v.0.Pi))))) 0.53/1.05 (assume @p184 (forall (@list @v.2.X1 @v.3.X2 @v.2.Y1 @v.3.Y2) (= (= (_ (_ tptp.produc1275980869_pi_pi @v.2.X1) @v.3.X2) (_ (_ tptp.produc1275980869_pi_pi @v.2.Y1) @v.3.Y2)) (and @t427 (= @v.3.X2 @v.3.Y2))))) 0.53/1.05 (assume @p185 (forall (@list @v.0.A @v.1.B @v.0.P @v.0.P3) (not (_ @t42 @t445)))) 0.53/1.05 (assume @p186 (forall (@list @v.8.Y) (not (forall @t421 (not (= @v.8.Y @t420)))))) 0.53/1.05 (assume @p187 (forall @t446 (= (= @t185 (_ tptp.late_InputS @v.1.Y1)) @t415))) 0.53/1.05 (assume @p188 (forall (@list @v.1.X) (not (forall @t401 (not (_ (_ tptp.fresh_name_pi @v.1.C2) @v.1.X)))))) 0.53/1.05 (assume @p189 (forall @t451 (=> @t65 (=> @t450 (=> @t23 (=> @t59 (=> @t345 (=> @t378 (=> @t58 (=> @t56 (=> @t449 (=> @t346 (=> @t448 @t447))))))))))))) 0.53/1.05 (assume @p190 (forall (@list @v.0.Rel @v.0.P @v.0.Q) (=> (forall (@list @v.0.R2 @v.0.S2) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ (_ tptp.par @v.0.R2) @v.0.S2)) (_ @t305 @v.0.R2))) @v.0.Rel)) (=> (forall (@list @v.0.R2 @v.0.S2 @v.1.X3) (=> (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @v.0.R2) @v.0.S2)) @v.0.Rel) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t307 @v.0.R2)) @t311)) @v.0.Rel))) (_ (_ (_ tptp.strong743114133lation @t19) @v.0.Rel) (_ @t303 @v.0.P)))))) 0.53/1.05 (assume @p191 (forall (@list @v.0.A @v.0.P @v.0.Rs) (not (_ (_ tptp.late_transitions @t428) @v.0.Rs)))) 0.53/1.05 (assume @p192 (forall (@list @v.1.P @v.4.P2) (=> @t89 (_ @v.1.P @v.4.P2)))) 0.53/1.05 (assume @p193 (forall @t280 (=> @t279 @t47))) 0.53/1.05 (assume @p194 (forall (@list @v.0.Name3 @v.0.Name) (not (= (_ tptp.late_InputS @v.0.Name3) (_ tptp.late_BoundOutputS @v.0.Name))))) 0.53/1.05 (assume @p195 (forall @t95 (not (= @t230 @t71)))) 0.53/1.05 (assume @p196 (forall @t424 (= (= @t8 (_ (_ tptp.par @v.1.Y2) @v.0.Y1)) (and @t10 @t69)))) 0.53/1.05 (assume @p197 (_ tptp.eqvt_pi tptp.rel)) 0.53/1.05 (assume @p198 (forall @t46 (not (= @t230 @t178)))) 0.53/1.05 (assume @p199 (forall @t9 (= (_ @t1 @t423) @t7))) 0.53/1.05 (assume @p200 (forall (@list @v.0.A @v.3.X @v.1.Y) (= (_ (_ tptp.fresh_2007541374s_name @v.0.A) (_ (_ tptp.produc1701355766s_name @v.3.X) @v.1.Y)) (and @t67 @t452)))) 0.53/1.05 (assume @p201 (_ @t275 tptp.p)) 0.53/1.05 (assume @p202 (forall @t391 (not (forall @t399 (not (= @v.6.Y @t398)))))) 0.53/1.05 (assume @p203 (forall @t106 (=> @t286 (not (forall @t453 (=> (and @t103 @t323) (not @t366))))))) 0.53/1.05 (assume @p204 (not (= tptp.x tptp.u))) 0.53/1.05 (assume @p205 (forall (@list @v.9.P @v.4.X) (=> (forall @t455 (_ @v.9.P @t454)) (_ @v.9.P @v.4.X)))) 0.53/1.05 (assume @p206 (forall (@list @v.2.X1 @v.2.X2 @v.2.Y1 @v.2.Y2) (= (= (_ (_ tptp.produc1505598906reeRes @v.2.X1) @v.2.X2) (_ (_ tptp.produc1505598906reeRes @v.2.Y1) @v.2.Y2)) (and @t115 @t427)))) 0.53/1.05 (assume @p207 (forall @t289 (=> @t288 @t48))) 0.53/1.05 (assume @p208 (forall @t187 (= (_ @t186 @t456) @t184))) 0.53/1.05 (assume @p209 (forall (@list @v.0.X @v.0.A @v.1.Y @v.0.P @v.0.Alpha2 @v.0.P3) (not (_ @t457 @t39)))) 0.53/1.05 (assume @p210 (forall @t444 (not (= @t156 @t178)))) 0.53/1.05 (assume @p211 (forall @t373 (=> @t372 (_ @t165 @v.5.Y)))) 0.53/1.05 (assume @p212 (forall (@list @v.0.P @v.0.Rs @v.1.B) (=> @t329 (_ (_ tptp.late_transitions (_ (_ (_ tptp.match @v.1.B) @v.1.B) @v.0.P)) @v.0.Rs)))) 0.53/1.05 (assume @p213 (forall (@list @v.0.A @v.3.X @v.2.Y) (= (_ (_ tptp.fresh_1847501388Res_pi @v.0.A) (_ (_ tptp.produc1177552196Res_pi @v.3.X) @v.2.Y)) (and @t90 @t452)))) 0.53/1.05 (assume @p214 (forall (@list @v.0.Rel @v.0.Q @v.0.P @v.3.C3) (=> @t221 (=> (forall @t220 (=> @t219 (=> @t217 (=> @t216 (=> @t214 (=> (_ (_ tptp.fresh_1376661020_pi_pi @v.1.X3) @v.3.C3) @t213)))))) @t206)))) 0.53/1.05 (assume @p215 (forall @t460 (=> @t327 (=> (=> @t329 (=> @t328 @t459)) @t459)))) 0.53/1.05 (assume @p216 (forall @t231 (not (= @t94 @t155)))) 0.53/1.05 (assume @p217 (forall @t376 (= @t375 (or @t323 @t374)))) 0.53/1.05 (assume @p218 (forall @t387 (=> @t266 (=> @t461 (_ @t146 (_ @t38 @t145)))))) 0.53/1.05 (assume @p219 (forall (@list @v.0.A @v.2.X2 @v.0.X1) (= (_ @t462 @t116) (and @t6 (_ @t37 @v.2.X2))))) 0.53/1.05 (assume @p220 (forall (@list @v.0.A @v.1.X @v.1.Y) (= (_ (_ tptp.fresh_261416607i_name @v.0.A) (_ (_ tptp.product_Pair_pi_name @v.1.X) @v.1.Y)) (and @t47 @t67)))) 0.53/1.05 (assume @p221 (forall @t231 (not (= @t392 @t155)))) 0.53/1.05 (assume @p222 (forall (@list @v.16.P @v.1.Z @v.0.Residual) (=> (forall (@list @v.0.Subject2 @v.0.Name4 @v.0.Pi4 @v.2.Z2) (=> @t340 (=> @t274 (_ @t463 @t273)))) (=> (forall (@list @v.0.FreeRes2 @v.0.Pi4 @v.2.Z2) (_ @t463 @t271)) (_ (_ @v.16.P @v.1.Z) @v.0.Residual))))) 0.53/1.05 (assume @p223 (forall (@list @v.9.Y) (not (forall @t294 (not (= @v.9.Y @t293)))))) 0.53/1.05 (assume @p224 (forall @t390 (=> @t389 @t166))) 0.53/1.05 (assume @p225 (forall (@list @v.17.P @v.3.Z @v.0.Residual) (=> (forall (@list @v.0.Subject2 @v.0.Name4 @v.0.Pi4 @v.3.Z2) (=> @t438 (=> @t274 (_ @t464 @t273)))) (=> (forall (@list @v.0.FreeRes2 @v.0.Pi4 @v.3.Z2) (_ @t464 @t271)) (_ (_ @v.17.P @v.3.Z) @v.0.Residual))))) 0.53/1.05 (assume @p226 (forall (@list @v.0.A @v.0.X @v.2.Y) (= (_ (_ tptp.fresh_93646139ame_pi @v.0.A) (_ (_ tptp.product_Pair_name_pi @v.0.X) @v.2.Y)) (and @t90 @t52)))) 0.53/1.05 (assume @p227 (forall @t280 (= (= @t466 (_ @t465 @v.2.Y)) (= @v.1.X @v.2.Y)))) 0.53/1.05 (assume @p228 (= tptp.strong743114133lation (lambda (@list @v.0.P7 @v.0.Rel2 @v.0.Q5) (and (forall (@list @v.0.Alpha3 @v.0.Q6) (=> (_ @t470 (_ @t471 @v.0.Q6)) (exists @t469 (and (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @v.0.P8) @v.0.Q6)) @v.0.Rel2) (_ @t468 (_ @t471 @v.0.P8)))))) (forall (@list @v.1.A5 @v.1.X4 @v.0.Q6) (=> (and (_ (_ tptp.fresh_name_pi @v.1.X4) @v.0.P7) (_ @t470 (_ @t467 @v.0.Q6))) (exists @t469 (and (_ @t468 (_ @t467 @v.0.P8)) (_ (_ (_ (_ (_ tptp.strong2129052853vative @v.0.P8) @v.0.Q6) @v.1.A5) @v.1.X4) @v.0.Rel2))))))))) 0.53/1.05 (assume @p229 (forall (@list @v.0.P @v.0.Q @v.0.Rs) (=> @t385 (=> (not @t329) @t386)))) 0.53/1.05 (assume @p230 (forall (@list @v.0.A @v.1.X32 @v.1.X1 @v.0.X2) (= (_ @t462 @t183) (and @t232 (_ @t186 @v.1.X32))))) 0.53/1.05 (assume @p231 (forall (@list @v.0.X @v.1.B @v.0.C @v.0.A @v.0.P) (=> @t57 (=> @t395 (= (_ (_ @t393 @v.1.B) @v.0.C) (_ (_ (_ tptp.input (_ (_ @t162 @v.1.B) @v.0.C)) @v.0.X) @t472)))))) 0.53/1.05 (assume @p232 (= tptp.subst_name (lambda (@list @v.0.A5 @v.0.B4 @v.0.C4) (_ (_ (_ tptp.if_name @t96) @v.0.C4) @v.0.A5)))) 0.53/1.05 (assume @p233 (forall @t382 (=> @t381 (=> @t111 (=> @t23 (=> @t59 (=> @t345 (=> @t378 (=> @t58 (=> @t110 (=> @t449 (=> (_ @t239 @v.0.Q3) (=> @t448 @t377))))))))))))) 0.53/1.05 (assume @p234 (forall @t174 (not (= @t94 @t318)))) 0.53/1.05 (assume @p235 (forall @t475 (= @t474 (or @t323 @t473)))) 0.53/1.05 (assume @p236 (forall (@list @v.18.P) (or (= @v.18.P true) (= @v.18.P false)))) 0.53/1.05 (assume @p237 (forall (@list @v.0.P @v.0.Rs @v.0.X) (=> @t329 (=> @t23 (_ (_ tptp.fresh_81631222sidual @v.0.X) @v.0.Rs))))) 0.53/1.05 (assume @p238 (forall (@list @v.0.X) (not (forall @t401 (not (_ (_ tptp.fresh_name_name @v.1.C2) @v.0.X)))))) 0.53/1.05 (assume @p239 (forall @t476 (= (_ (_ (_ tptp.if_name false) @v.0.X) @v.1.Y) @v.1.Y))) 0.53/1.05 (assume @p240 (forall (@list @v.0.Name3 @v.0.Pi3 @v.0.Pi) (not (= (_ (_ tptp.res @v.0.Name3) @v.0.Pi3) @t3)))) 0.53/1.05 (assume @p241 (_ (_ tptp.late_transitions @t314) (_ @t313 @t170))) 0.53/1.05 (assume @p242 (forall @t319 (not (= tptp.piNil @t3)))) 0.53/1.05 (assume @p243 (forall (@list @v.0.A @v.0.P @v.1.B) (=> @t477 (= @t79 @v.0.P)))) 0.53/1.05 (assume @p244 (_ (_ tptp.late_transitions @t142) (_ @t313 tptp.pxQ))) 0.53/1.05 (assume @p245 (forall (@list @v.0.X @v.0.Rs) (not (_ (_ tptp.late_transitions (_ @t86 tptp.piNil)) @v.0.Rs)))) 0.53/1.05 (assume @p246 (forall (@list @v.14.P @v.5.P2) (=> @t422 (_ @v.14.P @v.5.P2)))) 0.53/1.05 (assume @p247 (forall @t388 (= (_ (_ (_ tptp.subs (_ tptp.bang @v.0.P)) @v.0.C) @v.0.D) (_ tptp.bang @t160)))) 0.53/1.05 (assume @p248 (forall (@list @v.1.X1 @v.1.X2) (not (= @t185 @t276)))) 0.53/1.05 (assume @p249 (not (= tptp.y tptp.x))) 0.53/1.05 (assume @p250 (forall (@list @v.0.P @v.1.A @v.0.X @v.0.P3) (not (_ @t270 @t152)))) 0.53/1.05 (assume @p251 (forall (@list @v.4.P2) (exists (@list @v.3.X3 @v.0.Y3) (= @v.4.P2 (_ (_ tptp.product_Pair_pi_pi @v.3.X3) @v.0.Y3))))) 0.53/1.05 (assume @p252 (forall @t76 (=> @t75 (not (=> @t73 @t478))))) 0.53/1.05 (assume @p253 (forall @t387 (=> @t266 (=> @t345 @t461)))) 0.53/1.05 (assume @p254 (forall (@list @v.0.A @v.0.X @v.0.P @v.0.Alpha2 @v.0.P3) (not (_ @t302 @t39)))) 0.53/1.05 (assume @p255 (forall @t46 (not (= @t392 @t44)))) 0.53/1.05 (assume @p256 (forall (@list @v.3.X) (not (forall @t401 (not (_ (_ tptp.fresh_1641682979reeRes @v.1.C2) @v.3.X)))))) 0.53/1.05 (assume @p257 (forall (@list @v.0.A @v.0.P @v.0.C @v.1.B) (=> @t477 (=> @t432 (_ @t1 @t472))))) 0.53/1.05 (assume @p258 (forall (@list @v.0.Pi12 @v.0.Pi22) (not (= tptp.piNil @t178)))) 0.53/1.05 (assume @p259 (forall (@list @v.0.X @v.0.A @v.1.Y @v.0.P @v.1.B @v.1.Z @v.0.P3) (not (_ @t457 (_ (_ @t479 @v.1.Z) @v.0.P3))))) 0.53/1.05 (assume @p260 (forall (@list @v.0.P @v.0.Rs) (=> (_ @t270 @v.0.Rs) (not (forall @t453 (=> (= @t269 (_ tptp.tau @v.0.P5)) (not (= @v.0.Rs (_ @t54 @v.0.P5))))))))) 0.53/1.05 (assume @p261 (forall (@list @v.0.A @v.1.B @v.0.P @v.1.C @v.0.X @v.0.P3) (not (_ @t42 (_ (_ (_ tptp.late_BoundR @v.1.C) @v.0.X) @v.0.P3))))) 0.53/1.05 (assume @p262 (forall @t482 (=> @t481 (not (=> @t32 (not @t480)))))) 0.53/1.05 (assume @p263 @t484) 0.53/1.05 (assume @p264 (forall @t231 (not (= @t45 @t155)))) 0.53/1.05 (assume @p265 (forall (@list @v.0.A @v.1.X2 @v.1.X1) (= (_ @t37 @t416) (and @t29 @t184)))) 0.53/1.05 (assume @p266 (forall @t370 (= @t369 (and @t368 @t32)))) 0.53/1.05 (assume @p267 (forall (@list @v.0.X @v.0.A @v.1.B @v.0.P @v.0.P3) (not (_ @t326 @t445)))) 0.53/1.05 (assume @p268 (forall (@list @v.9.P @v.6.P2) (=> @t320 (_ @v.9.P @v.6.P2)))) 0.53/1.05 (assume @p269 (forall @t400 (=> (forall @t486 (_ @v.4.P @t485)) @t396))) 0.53/1.05 (assume @p270 (forall @t229 (=> (forall @t228 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @v.0.Q4) @t227)) @v.0.Rel)) (_ @t197 @t226)))) 0.53/1.05 (assume @p271 (forall @t192 (= @t191 (and @t52 @t234)))) 0.53/1.05 (assume @p272 (forall (@list @v.1.X1 @v.4.X2 @v.1.Y1 @v.4.Y2) (= (= (_ (_ tptp.produc235456326_pi_pi @v.1.X1) @v.4.X2) (_ (_ tptp.produc235456326_pi_pi @v.1.Y1) @v.4.Y2)) (and @t415 (= @v.4.X2 @v.4.Y2))))) 0.53/1.05 (assume @p273 @t488) 0.53/1.05 (assume @p274 (forall @t225 (= @t224 (and @t223 @t222)))) 0.53/1.05 (assume @p275 (forall (@list @v.0.P @v.0.Rs @v.0.Q) (=> @t329 @t385))) 0.53/1.05 (assume @p276 (forall @t402 (not (= @t4 @t155)))) 0.53/1.05 (assume @p277 (forall (@list @v.0.Name12 @v.0.Name22) (not (= (_ (_ tptp.late_OutputR @v.0.Name12) @v.0.Name22) tptp.late_TauR)))) 0.53/1.05 (assume @p278 (forall @t446 (= (= @t456 (_ tptp.late_BoundOutputS @v.1.Y1)) @t415))) 0.53/1.05 (assume @p279 (forall @t490 (=> @t489 (not (=> @t32 @t478))))) 0.53/1.05 (assume @p280 (forall (@list @v.0.A @v.0.X @v.0.P) @t443)) 0.53/1.05 (assume @p281 (forall @t492 (= (_ @t1 @t491) @t6))) 0.53/1.05 (assume @p282 (forall (@list @v.12.P @v.6.Prod) (=> @t414 (_ @v.12.P @v.6.Prod)))) 0.53/1.05 (assume @p283 (forall (@list @v.0.Rel @v.0.Q @v.0.X @v.0.P @v.2.C3) (=> @t221 (=> @t365 (=> (forall @t360 (=> @t359 (=> @t358 (=> @t357 (=> (_ @t243 @v.2.C3) @t355))))) (=> (forall @t351 (=> @t204 (=> @t350 (exists @t203 (and @t202 @t349))))) @t347)))))) 0.53/1.05 (assume @p284 (forall @t451 (=> @t65 (=> @t450 (=> @t345 @t447))))) 0.53/1.05 (assume @p285 (forall @t494 (= (_ (_ (_ tptp.subs @t19) @v.0.C) @v.0.D) (_ (_ tptp.par @t160) @t493)))) 0.53/1.05 (assume @p286 (forall (@list @v.4.Y) (not (forall @t88 (not (= @v.4.Y @t87)))))) 0.53/1.05 (assume @p287 (forall (@list @v.10.Y) (=> (forall (@list @v.0.X13) (not (= @v.10.Y (_ tptp.late_InputS @v.0.X13)))) (not (forall (@list @v.0.X22) (not (= @v.10.Y (_ tptp.late_BoundOutputS @v.0.X22)))))))) 0.53/1.05 (assume @p288 (forall @t495 (not (_ @t270 @t112)))) 0.53/1.05 (assume @p289 (forall (@list @v.2.X1 @v.1.X2 @v.2.Y1 @v.0.Y2) (= (= (_ (_ tptp.produc540578151i_name @v.2.X1) @v.1.X2) (_ (_ tptp.produc540578151i_name @v.2.Y1) @v.0.Y2)) (and @t427 @t11)))) 0.53/1.05 (assume @p290 (forall @t95 (not (= @t94 @t71)))) 0.53/1.05 (assume @p291 (forall @t154 (=> @t153 (=> @t151 (=> @t150 @t147))))) 0.53/1.05 (assume @p292 (forall @t497 (= (= @t496 (_ tptp.bang @v.0.Y1)) @t10))) 0.53/1.05 (assume @p293 (forall (@list @v.5.P2) (exists (@list @v.0.X3 @v.3.Y3) (= @v.5.P2 (_ (_ tptp.produc1342893193ion_pi @v.0.X3) @v.3.Y3))))) 0.53/1.05 (assume @p294 (forall (@list @v.19.P @v.0.Subject) (=> (forall @t498 (_ @v.19.P (_ tptp.late_InputS @v.0.Name4))) (=> (forall @t498 (_ @v.19.P (_ tptp.late_BoundOutputS @v.0.Name4))) (_ @v.19.P @v.0.Subject))))) 0.53/1.05 (assume @p295 (forall (@list @v.2.X1 @v.5.X2 @v.2.Y1 @v.5.Y2) (= (= (_ (_ tptp.produc1342893193ion_pi @v.2.X1) @v.5.X2) (_ (_ tptp.produc1342893193ion_pi @v.2.Y1) @v.5.Y2)) (and (= @v.5.X2 @v.5.Y2) @t427)))) 0.53/1.05 (assume @p296 (forall (@list @v.0.Rel @v.0.A @v.0.X @v.0.P) (not (_ @t429 @t301)))) 0.53/1.05 (assume @p297 (forall (@list @v.0.A @v.1.B @v.0.Rel @v.0.P) (=> @t328 (_ @t429 @t285)))) 0.53/1.05 (assume @p298 (forall @t46 (not (= @t45 @t178)))) 0.53/1.05 (assume @p299 (forall (@list @v.6.P2) (exists (@list @v.1.X3 @v.4.Y3) (= @v.6.P2 (_ (_ tptp.produc235456326_pi_pi @v.1.X3) @v.4.Y3))))) 0.53/1.05 (assume @p300 (forall @t482 (= @t481 (and @t480 @t32)))) 0.53/1.05 (assume @p301 (forall @t475 (= @t474 (or @t473 @t323)))) 0.53/1.05 (assume @p302 (forall @t497 (= (= @t491 (_ tptp.tau @v.0.Y1)) @t10))) 0.53/1.05 (assume @p303 (forall @t476 (= (_ (_ (_ tptp.if_name true) @v.0.X) @v.1.Y) @v.0.X))) 0.53/1.05 (assume @p304 (_ @t143 tptp.p)) 0.53/1.05 (assume @p305 @t499) 0.53/1.05 (assume @p306 (forall @t174 (not (= @t230 @t3)))) 0.53/1.05 (assume @p307 (forall @t46 (not (= @t94 @t44)))) 0.53/1.05 (assume @p308 (forall (@list @v.3.P2) (exists (@list @v.0.X3 @v.5.Y3) (= @v.3.P2 (_ (_ tptp.produc1275980869_pi_pi @v.0.X3) @v.5.Y3))))) 0.53/1.05 (assume @p309 (forall @t292 (= (_ (_ tptp.fresh_493808761reeRes @v.0.A) (_ (_ tptp.produc1244821099reeRes @v.3.X) @v.0.Y)) (and @t452 @t48)))) 0.53/1.05 (assume @p310 (forall @t164 (= (_ (_ (_ tptp.subs @t285) @v.0.C) @v.0.D) (_ (_ (_ tptp.match @t163) @t161) @t160)))) 0.53/1.05 (assume @p311 (forall (@list @v.3.P @v.1.P2) (=> @t177 (_ @v.3.P @v.1.P2)))) 0.53/1.05 (assume @p312 (forall @t494 (= (_ (_ (_ tptp.subs @t384) @v.0.C) @v.0.D) (_ (_ tptp.sum @t160) @t493)))) 0.53/1.05 (assume @p313 (forall (@list @v.0.Rel @v.0.A @v.1.B @v.0.P) (not (_ @t429 @t41)))) 0.53/1.05 (assume @p314 (forall (@list @v.0.A @v.0.X @v.0.P @v.1.B @v.1.Y @v.0.P3) (not (_ @t302 (_ (_ @t479 @v.1.Y) @v.0.P3))))) 0.53/1.05 (assume @p315 (forall @t460 (=> @t286 (=> (=> @t329 (=> @t284 (_ @t458 @v.0.A))) @t459)))) 0.53/1.05 (assume @p316 (forall @t495 (=> @t113 (=> @t328 (_ (_ tptp.late_transitions (_ @t80 @v.0.P)) (_ (_ @t379 @v.1.B) @v.0.P3)))))) 0.53/1.05 (assume @p317 (_ (_ tptp.fresh_717452603ubject tptp.x) tptp.aa)) 0.53/1.05 (assume @p318 (forall (@list @v.0.X @v.0.C @v.0.D @v.0.P) (=> @t395 (=> @t394 (= (_ (_ (_ tptp.subs @t250) @v.0.C) @v.0.D) (_ @t86 @t160)))))) 0.53/1.05 (assume @p319 (forall @t100 (not (forall @t455 (not (= @v.3.Y @t454)))))) 0.53/1.05 (assume @p320 (forall @t490 (= @t489 (and @t32 @t74)))) 0.53/1.05 (assume @p321 (forall (@list @v.11.Y) (not (forall @t413 (not (= @v.11.Y @t412)))))) 0.53/1.05 (assume @p322 (forall @t334 (= @t333 (or @t330 @t323)))) 0.53/1.05 (assume @p323 (forall @t492 (= (_ @t1 @t496) @t6))) 0.53/1.05 (assume @p324 (forall @t114 (=> @t113 (=> @t111 @t109)))) 0.53/1.05 (assume @p325 (forall @t391 (not (forall @t486 (not (= @v.6.Y @t485)))))) 0.53/1.05 (assume @p326 (forall (@list @v.0.P @v.0.Rel @v.0.Q @v.1.A @v.0.X @v.0.Q3) (=> @t198 (=> @t25 (=> @t23 (exists @t181 (and @t180 (_ (_ (_ (_ (_ tptp.strong2129052853vative @v.0.P4) @v.0.Q3) @v.1.A) @v.0.X) @v.0.Rel)))))))) 0.53/1.05 (assume @p327 (forall (@list @v.0.Q @v.0.P @v.0.Rel) (=> (forall (@list @v.3.A3 @v.2.Y3 @v.0.Q2) (=> @t359 (=> (_ @t356 @v.0.P) (exists @t203 (and @t354 (_ (_ @t211 @v.2.Y3) @v.0.Rel)))))) @t383))) 0.53/1.05 (assume @p328 (_ (_ tptp.late_transitions tptp.p) (_ @t313 tptp.p2))) 0.53/1.05 (assume @p329 true) 0.53/1.05 ; WARNING: add trust step for TRUST 0.53/1.05 ; trust TRUST 0.53/1.05 (step @p330 :rule trust :premises () :args ((= @t517 @t516))) 0.53/1.05 ; WARNING: add trust step for MACRO_SR_EQ_INTRO 0.53/1.05 ; trust MACRO_SR_EQ_INTRO 0.53/1.05 (step @p331 :rule trust :premises () :args ((= @t484 @t517))) 0.53/1.05 (step @p332 :rule trans :premises (@p331 @p330)) 0.53/1.05 (step @p333 :rule eq_resolve :premises (@p263 @p332)) 0.53/1.05 ; trust TRUST 0.53/1.05 (step @p334 :rule trust :premises () :args ((= @t488 (not (_ @t512 (_ @t511 @t510 (_ @t509 (_ @t508 @t507 @t526) (_ @t503 @t525 @t523))) tptp.rel))))) 0.53/1.05 (step @p335 :rule eq_resolve :premises (@p273 @p334)) 0.53/1.05 (step @p336 :rule false_intro :premises (@p335)) 0.53/1.05 (step @p337 :rule refl :args (tptp.rel)) 0.53/1.05 ; trust TRUST 0.53/1.05 (step @p338 :rule trust :premises () :args ((= @t499 (= @t523 @t528)))) 0.53/1.05 (step @p339 :rule eq_resolve :premises (@p305 @p338)) 0.53/1.05 (step @p340 :rule symm :premises (@p339)) 0.53/1.05 (step @p341 :rule refl :args (@t525)) 0.53/1.05 (step @p342 :rule cong :premises (@p341 @p340) :args (@t503)) 0.53/1.05 ; trust TRUST 0.53/1.05 (step @p343 :rule trust :premises () :args ((= @t173 (= @t529 @t526)))) 0.53/1.05 (step @p344 :rule eq_resolve :premises (@p41 @p343)) 0.53/1.05 (step @p345 :rule refl :args (@t507)) 0.53/1.05 (step @p346 :rule cong :premises (@p345 @p344) :args (@t508)) 0.53/1.05 (step @p347 :rule cong :premises (@p346 @p342) :args (@t509)) 0.53/1.05 (step @p348 :rule refl :args (@t510)) 0.53/1.05 (step @p349 :rule cong :premises (@p348 @p347) :args (@t511)) 0.53/1.05 (step @p350 :rule cong :premises (@p349 @p337) :args (@t512)) 0.53/1.05 (step @p351 :rule trans :premises (@p350 @p336)) 0.53/1.05 (step @p352 :rule false_elim :premises (@p351)) 0.53/1.05 ; trust TRUST 0.53/1.05 (step @p353 :rule trust :premises () :args ((= @t322 @t530))) 0.53/1.05 (step @p354 :rule eq_resolve :premises (@p105 @p353)) 0.53/1.05 (step @p355 :rule cnf_or_pos :args (@t533)) 0.53/1.05 (step @p356 :rule reordering :premises (@p355) :args ((or @t532 @t531 @t534))) 0.53/1.05 ; WARNING: add trust step for MACRO_RESOLUTION_TRUST 0.53/1.05 ; trust MACRO_RESOLUTION_TRUST 0.53/1.05 (step @p357 :rule trust :premises (@p356 @p354 @p352) :args (@t534)) 0.53/1.05 (assume-push @p358 @t516) 0.53/1.05 (step @p359 :rule instantiate :premises (@p333) :args ((@list tptp.x @t524 @t527))) 0.53/1.05 (step-pop @p363 :rule scope :premises (@p359)) 0.53/1.05 (step @p360 :rule process_scope :premises (@p363) :args (@t533)) 0.53/1.05 (step @p362 :rule implies_elim :premises (@p360)) 0.53/1.05 ; trust MACRO_RESOLUTION_TRUST 0.53/1.05 (step @p363 false :rule trust :premises (@p362 @p357 @p333) :args (false)) 0.53/1.05 0.53/1.05 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.3M8DEx0g7y/cvc5---1.0.5_31305.smt2 0.53/1.05 % cvc5---1.0.5 exiting 0.53/1.05 % cvc5---1.0.5 exiting 0.53/1.06 EOF