0.07/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.13/0.33 % Computer : n031.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1920 0.13/0.33 % WCLimit : 240 0.13/0.33 % DateTime : Fri Sep 5 19:14:22 EDT 2025 0.13/0.33 % CPUTime : 0.43/0.69 %----Proving TH0 0.54/1.03 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s... 0.54/1.03 % SZS status Theorem 0.54/1.03 % SZS output start Proof 0.54/1.03 ( 0.54/1.03 (declare-type tptp.name ()) 0.54/1.03 (declare-type tptp.produc140253050ect_pi ()) 0.54/1.03 (declare-type tptp.late_subject ()) 0.54/1.03 (declare-type tptp.pi ()) 0.54/1.03 (declare-type tptp.produc865358760ubject ()) 0.54/1.03 (declare-type tptp.produc214645451ubject ()) 0.54/1.03 (declare-type tptp.late_freeRes ()) 0.54/1.03 (declare-type tptp.late_residual ()) 0.54/1.03 (declare-type tptp.produc1357834675reeRes ()) 0.54/1.03 (declare-type tptp.produc629157763_pi_pi ()) 0.54/1.03 (declare-type tptp.produc355105483reeRes ()) 0.54/1.03 (declare-type tptp.produc1834551554reeRes ()) 0.54/1.03 (declare-type tptp.produc2052722628s_name ()) 0.54/1.03 (declare-type tptp.produc1998742700t_name ()) 0.54/1.03 (declare-type tptp.noption_pi ()) 0.54/1.03 (declare-type tptp.produc691362330ubject ()) 0.54/1.03 (declare-type tptp.produc2008547984reeRes ()) 0.54/1.03 (declare-type tptp.set_Pr1834926343_pi_pi ()) 0.54/1.03 (declare-type tptp.product_prod_pi_pi ()) 0.54/1.03 (declare-type tptp.produc1359399907ubject ()) 0.54/1.03 (declare-type tptp.produc1462499409ion_pi ()) 0.54/1.03 (declare-type tptp.noption_Late_freeRes ()) 0.54/1.03 (declare-type tptp.noption_Late_subject ()) 0.54/1.03 (declare-type tptp.produc405342261i_name ()) 0.54/1.03 (declare-type tptp.produc992857746Res_pi ()) 0.54/1.03 (declare-type tptp.noption_name ()) 0.54/1.03 (declare-const tptp.if_name (-> Bool tptp.name tptp.name tptp.name)) 0.54/1.03 (declare-const tptp.strong2129052853vative (-> tptp.pi tptp.pi tptp.late_subject tptp.name tptp.set_Pr1834926343_pi_pi Bool)) 0.54/1.03 (declare-const tptp.late_BoundR (-> tptp.late_subject tptp.name tptp.pi tptp.late_residual)) 0.54/1.03 (declare-const tptp.late_transitions (-> tptp.pi tptp.late_residual Bool)) 0.54/1.03 (declare-const tptp.product_Pair_pi_pi (-> tptp.pi tptp.pi tptp.product_prod_pi_pi)) 0.54/1.03 (declare-const tptp.fresh_name_pi (-> tptp.name tptp.pi Bool)) 0.54/1.03 (declare-const tptp.member558706512_pi_pi (-> tptp.product_prod_pi_pi tptp.set_Pr1834926343_pi_pi Bool)) 0.54/1.03 (declare-const tptp.late_FreeR (-> tptp.late_freeRes tptp.pi tptp.late_residual)) 0.54/1.03 (declare-const tptp.fresh_994896692ect_pi (-> tptp.name tptp.produc140253050ect_pi Bool)) 0.54/1.03 (declare-const tptp.produc324947500ect_pi (-> tptp.late_subject tptp.pi tptp.produc140253050ect_pi)) 0.54/1.03 (declare-const tptp.fresh_820177506ubject (-> tptp.name tptp.produc865358760ubject Bool)) 0.54/1.03 (declare-const tptp.produc607574050ubject (-> tptp.name tptp.late_subject tptp.produc865358760ubject)) 0.54/1.03 (declare-const tptp.fresh_1498103185ubject (-> tptp.name tptp.produc214645451ubject Bool)) 0.54/1.03 (declare-const tptp.produc320590723ubject (-> tptp.late_freeRes tptp.late_subject tptp.produc214645451ubject)) 0.54/1.03 (declare-const tptp.fresh_493808761reeRes (-> tptp.name tptp.produc1357834675reeRes Bool)) 0.54/1.03 (declare-const tptp.produc1244821099reeRes (-> tptp.late_freeRes tptp.late_freeRes tptp.produc1357834675reeRes)) 0.54/1.03 (declare-const tptp.fresh_253309757_pi_pi (-> tptp.name tptp.produc629157763_pi_pi Bool)) 0.54/1.03 (declare-const tptp.fresh_1638563217reeRes (-> tptp.name tptp.produc355105483reeRes Bool)) 0.54/1.03 (declare-const tptp.produc242091907reeRes (-> tptp.late_subject tptp.late_freeRes tptp.produc355105483reeRes)) 0.54/1.03 (declare-const tptp.fresh_225680151ion_pi (-> tptp.name tptp.produc1462499409ion_pi Bool)) 0.54/1.03 (declare-const tptp.q2 tptp.pi) 0.54/1.03 (declare-const tptp.fresh_81631222sidual (-> tptp.name tptp.late_residual Bool)) 0.54/1.03 (declare-const tptp.piNil tptp.pi) 0.54/1.03 (declare-const tptp.eqvt_pi (-> tptp.set_Pr1834926343_pi_pi Bool)) 0.54/1.03 (declare-const tptp.produc540578151i_name (-> (-> tptp.name tptp.noption_pi) tptp.name tptp.produc405342261i_name)) 0.54/1.03 (declare-const tptp.abs_fun_name_pi (-> tptp.name tptp.pi tptp.name tptp.noption_pi)) 0.54/1.03 (declare-const tptp.output (-> tptp.name tptp.name tptp.pi tptp.pi)) 0.54/1.03 (declare-const tptp.fresh_453496559i_name (-> tptp.name tptp.produc405342261i_name Bool)) 0.54/1.03 (declare-const tptp.produc1820286517_pi_pi (-> (-> tptp.name tptp.noption_pi) tptp.pi tptp.produc629157763_pi_pi)) 0.54/1.03 (declare-const tptp.fresh_567880928ubject (-> tptp.name tptp.produc691362330ubject Bool)) 0.54/1.03 (declare-const tptp.late_TauR tptp.late_freeRes) 0.54/1.03 (declare-const tptp.tau (-> tptp.pi tptp.pi)) 0.54/1.03 (declare-const tptp.q tptp.pi) 0.54/1.03 (declare-const tptp.fresh_1847501388Res_pi (-> tptp.name tptp.produc992857746Res_pi Bool)) 0.54/1.03 (declare-const tptp.match (-> tptp.name tptp.name tptp.pi tptp.pi)) 0.54/1.03 (declare-const tptp.par (-> tptp.pi tptp.pi tptp.pi)) 0.54/1.03 (declare-const tptp.produc1342893193ion_pi (-> (-> tptp.name tptp.noption_pi) (-> tptp.name tptp.noption_pi) tptp.produc1462499409ion_pi)) 0.54/1.03 (declare-const tptp.late_InputS (-> tptp.name tptp.late_subject)) 0.54/1.03 (declare-const tptp.y tptp.name) 0.54/1.03 (declare-const tptp.collec1051790738_pi_pi (-> (-> tptp.product_prod_pi_pi Bool) tptp.set_Pr1834926343_pi_pi)) 0.54/1.03 (declare-const tptp.input (-> tptp.name tptp.name tptp.pi tptp.pi)) 0.54/1.03 (declare-const tptp.fresh_717452603ubject (-> tptp.name tptp.late_subject Bool)) 0.54/1.03 (declare-const tptp.produc1505598906reeRes (-> (-> tptp.name tptp.noption_pi) tptp.late_freeRes tptp.produc1834551554reeRes)) 0.54/1.03 (declare-const tptp.fresh_1093033124n_name (-> tptp.name (-> tptp.name tptp.noption_name) Bool)) 0.54/1.03 (declare-const tptp.sum (-> tptp.pi tptp.pi tptp.pi)) 0.54/1.03 (declare-const tptp.p2 tptp.pi) 0.54/1.03 (declare-const tptp.fresh_2007541374s_name (-> tptp.name tptp.produc2052722628s_name Bool)) 0.54/1.03 (declare-const tptp.res (-> tptp.name tptp.pi tptp.pi)) 0.54/1.03 (declare-const tptp.pq tptp.pi) 0.54/1.03 (declare-const tptp.mismatch (-> tptp.name tptp.name tptp.pi tptp.pi)) 0.54/1.03 (declare-const tptp.late_BoundOutputS (-> tptp.name tptp.late_subject)) 0.54/1.03 (declare-const tptp.xPQ tptp.pi) 0.54/1.03 (declare-const tptp.fresh_1953561446t_name (-> tptp.name tptp.produc1998742700t_name Bool)) 0.54/1.03 (declare-const tptp.fresh_1641682979reeRes (-> tptp.name tptp.late_freeRes Bool)) 0.54/1.03 (declare-const tptp.fresh_543891186ion_pi (-> tptp.name (-> tptp.name tptp.noption_pi) Bool)) 0.54/1.03 (declare-const tptp.produc581368530ubject (-> (-> tptp.name tptp.noption_pi) tptp.late_subject tptp.produc691362330ubject)) 0.54/1.03 (declare-const tptp.produc1701355766s_name (-> tptp.late_freeRes tptp.name tptp.produc2052722628s_name)) 0.54/1.03 (declare-const tptp.bang (-> tptp.pi tptp.pi)) 0.54/1.03 (declare-const tptp.produc1647375838t_name (-> tptp.late_subject tptp.name tptp.produc1998742700t_name)) 0.54/1.03 (declare-const tptp.abs_fun_name_name (-> tptp.name tptp.name tptp.name tptp.noption_name)) 0.54/1.03 (declare-const tptp.x tptp.name) 0.54/1.03 (declare-const tptp.alpha tptp.late_freeRes) 0.54/1.03 (declare-const tptp.p tptp.pi) 0.54/1.03 (declare-const tptp.abs_fu1904601852ubject (-> tptp.name tptp.late_subject tptp.name tptp.noption_Late_subject)) 0.54/1.03 (declare-const tptp.fresh_728038529ubject (-> tptp.name (-> tptp.name tptp.noption_Late_subject) Bool)) 0.54/1.03 (declare-const tptp.late_OutputR (-> tptp.name tptp.name tptp.late_freeRes)) 0.54/1.03 (declare-const tptp.z tptp.name) 0.54/1.03 (declare-const tptp.abs_fu681348580reeRes (-> tptp.name tptp.late_freeRes tptp.name tptp.noption_Late_freeRes)) 0.54/1.03 (declare-const tptp.fresh_785364841reeRes (-> tptp.name (-> tptp.name tptp.noption_Late_freeRes) Bool)) 0.54/1.03 (declare-const tptp.subs (-> tptp.pi tptp.name tptp.name tptp.pi)) 0.54/1.03 (declare-const tptp.rel tptp.set_Pr1834926343_pi_pi) 0.54/1.03 (declare-const tptp.aa tptp.name) 0.54/1.03 (declare-const tptp.produc1465345179ubject (-> tptp.late_subject tptp.late_subject tptp.produc1359399907ubject)) 0.54/1.03 (declare-const tptp.fresh_495373993ubject (-> tptp.name tptp.produc1359399907ubject Bool)) 0.54/1.03 (declare-const tptp.fresh_1711070152reeRes (-> tptp.name tptp.produc1834551554reeRes Bool)) 0.54/1.03 (declare-const tptp.produc1531804426reeRes (-> tptp.name tptp.late_freeRes tptp.produc2008547984reeRes)) 0.54/1.03 (declare-const tptp.fresh_1963366730reeRes (-> tptp.name tptp.produc2008547984reeRes Bool)) 0.54/1.03 (declare-const tptp.produc1177552196Res_pi (-> tptp.late_freeRes tptp.pi tptp.produc992857746Res_pi)) 0.54/1.03 (declare-const tptp.fresh_1627595501_pi_pi (-> tptp.name tptp.product_prod_pi_pi Bool)) 0.54/1.03 (define tptp.subst_name () (let ((_let_1 (@var "A2" tptp.name))) (let ((_let_2 (@var "C4" tptp.name))) (let ((_let_3 (@var "B" tptp.name))) (lambda (@list _let_1 _let_3 _let_2) (_ (_ (_ tptp.if_name (= _let_1 _let_3)) _let_2) _let_1)))))) 0.54/1.03 (define tptp.fresh_name_name () (let ((_let_1 (@var "B" tptp.name))) (let ((_let_2 (@var "A2" tptp.name))) (lambda (@list _let_2 _let_1) (not (= _let_2 _let_1)))))) 0.54/1.03 (define tptp.strong743114133lation () (let ((_let_1 (@var "Rel2" tptp.set_Pr1834926343_pi_pi))) (let ((_let_2 (@var "X3" tptp.name))) (let ((_let_3 (@var "A2" tptp.late_subject))) (let ((_let_4 (@var "Q6" tptp.pi))) (let ((_let_5 (@var "P8" tptp.pi))) (let ((_let_6 (_ (_ tptp.late_BoundR _let_3) _let_2))) (let ((_let_7 (@var "P7" tptp.pi))) (let ((_let_8 (_ tptp.late_transitions _let_7))) (let ((_let_9 (@list _let_5))) (let ((_let_10 (@var "Q5" tptp.pi))) (let ((_let_11 (_ tptp.late_transitions _let_10))) (let ((_let_12 (@var "Alpha3" tptp.late_freeRes))) (let ((_let_13 (_ tptp.late_FreeR _let_12))) (lambda (@list _let_7 _let_1 _let_10) (and (forall (@list _let_12 _let_4) (=> (_ _let_11 (_ _let_13 _let_4)) (exists _let_9 (and (_ _let_8 (_ _let_13 _let_5)) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi _let_5) _let_4)) _let_1))))) (forall (@list _let_3 _let_2 _let_4) (=> (and (_ (_ tptp.fresh_name_pi _let_2) _let_7) (_ _let_11 (_ _let_6 _let_4))) (exists _let_9 (and (_ _let_8 (_ _let_6 _let_5)) (_ (_ (_ (_ (_ tptp.strong2129052853vative _let_5) _let_4) _let_3) _let_2) _let_1))))))))))))))))))))) 0.54/1.03 (define @t1 () (@var "Pi" tptp.pi)) 0.54/1.03 (define @t2 () (@var "Name24" tptp.name)) 0.54/1.03 (define @t3 () (@var "Name13" tptp.name)) 0.54/1.03 (define @t4 () (_ (_ (_ tptp.match @t3) @t2) @t1)) 0.54/1.03 (define @t5 () (@var "Pi4" tptp.pi)) 0.54/1.03 (define @t6 () (@var "Name23" tptp.name)) 0.54/1.03 (define @t7 () (@var "Name12" tptp.name)) 0.54/1.03 (define @t8 () (_ (_ (_ tptp.input @t7) @t6) @t5)) 0.54/1.03 (define @t9 () (@list @t7 @t6 @t5 @t3 @t2 @t1)) 0.54/1.03 (define @t10 () (@var "Y22" (-> tptp.name tptp.noption_pi))) 0.54/1.03 (define @t11 () (@var "X2" (-> tptp.name tptp.noption_pi))) 0.54/1.03 (define @t12 () (@var "Y1" (-> tptp.name tptp.noption_pi))) 0.54/1.03 (define @t13 () (@var "X1" (-> tptp.name tptp.noption_pi))) 0.54/1.03 (define @t14 () (= @t13 @t12)) 0.54/1.03 (define @t15 () (@var "A" tptp.late_subject)) 0.54/1.03 (define @t16 () (@var "Y" tptp.name)) 0.54/1.03 (define @t17 () (_ (_ tptp.fresh_717452603ubject @t16) @t15)) 0.54/1.03 (define @t18 () (@var "P" tptp.pi)) 0.54/1.03 (define @t19 () (_ tptp.fresh_name_pi @t16)) 0.54/1.03 (define @t20 () (_ @t19 @t18)) 0.54/1.03 (define @t21 () (=> @t20 @t17)) 0.54/1.03 (define @t22 () (@var "P2" tptp.pi)) 0.54/1.03 (define @t23 () (@var "X" tptp.name)) 0.54/1.03 (define @t24 () (_ tptp.late_BoundR @t15)) 0.54/1.03 (define @t25 () (_ @t24 @t23)) 0.54/1.03 (define @t26 () (_ @t25 @t22)) 0.54/1.03 (define @t27 () (_ tptp.late_transitions @t18)) 0.54/1.03 (define @t28 () (_ @t27 @t26)) 0.54/1.03 (define @t29 () (@list @t18 @t15 @t23 @t22 @t16)) 0.54/1.03 (define @t30 () (forall @t29 (=> @t28 @t21))) 0.54/1.03 (define @t31 () (@var "Y2" tptp.late_freeRes)) 0.54/1.03 (define @t32 () (@var "X4" (-> tptp.name tptp.noption_pi))) 0.54/1.03 (define @t33 () (@var "P5" tptp.produc1834551554reeRes)) 0.54/1.03 (define @t34 () (@var "X1" tptp.pi)) 0.54/1.03 (define @t35 () (@var "A" tptp.name)) 0.54/1.03 (define @t36 () (_ tptp.fresh_name_pi @t35)) 0.54/1.03 (define @t37 () (_ @t36 @t34)) 0.54/1.03 (define @t38 () (@var "X2" tptp.name)) 0.54/1.03 (define @t39 () (_ tptp.fresh_name_name @t35)) 0.54/1.03 (define @t40 () (_ @t39 @t38)) 0.54/1.03 (define @t41 () (@var "X32" tptp.name)) 0.54/1.03 (define @t42 () (_ @t39 @t41)) 0.54/1.03 (define @t43 () (and @t42 @t40 @t37)) 0.54/1.03 (define @t44 () (_ (_ (_ tptp.mismatch @t41) @t38) @t34)) 0.54/1.03 (define @t45 () (@list @t35 @t41 @t38 @t34)) 0.54/1.03 (define @t46 () (@var "X" tptp.late_freeRes)) 0.54/1.03 (define @t47 () (@var "C" tptp.name)) 0.54/1.03 (define @t48 () (@list @t47)) 0.54/1.03 (define @t49 () (_ (_ tptp.late_BoundR (_ tptp.late_InputS @t35)) @t23)) 0.54/1.03 (define @t50 () (_ tptp.input @t35)) 0.54/1.03 (define @t51 () (_ (_ @t50 @t23) @t18)) 0.54/1.03 (define @t52 () (_ tptp.late_transitions @t51)) 0.54/1.03 (define @t53 () (_ @t52 (_ @t49 @t18))) 0.54/1.03 (define @t54 () (@var "Y22" tptp.late_subject)) 0.54/1.03 (define @t55 () (@var "X2" tptp.late_subject)) 0.54/1.03 (define @t56 () (_ @t39 @t16)) 0.54/1.03 (define @t57 () (_ tptp.fresh_1641682979reeRes @t35)) 0.54/1.03 (define @t58 () (_ @t57 @t46)) 0.54/1.03 (define @t59 () (@var "Q2" tptp.pi)) 0.54/1.03 (define @t60 () (@var "B2" tptp.name)) 0.54/1.03 (define @t61 () (_ (_ tptp.subs @t22) @t23)) 0.54/1.03 (define @t62 () (_ tptp.late_FreeR tptp.late_TauR)) 0.54/1.03 (define @t63 () (@var "Q" tptp.pi)) 0.54/1.03 (define @t64 () (_ tptp.par @t18)) 0.54/1.03 (define @t65 () (_ @t64 @t63)) 0.54/1.03 (define @t66 () (_ tptp.late_transitions @t65)) 0.54/1.03 (define @t67 () (_ @t66 (_ @t62 (_ (_ tptp.par (_ @t61 @t60)) @t59)))) 0.54/1.03 (define @t68 () (_ tptp.fresh_name_pi @t23)) 0.54/1.03 (define @t69 () (_ @t68 @t59)) 0.54/1.03 (define @t70 () (not (= @t23 @t60))) 0.54/1.03 (define @t71 () (not (= @t23 @t35))) 0.54/1.03 (define @t72 () (_ @t68 @t63)) 0.54/1.03 (define @t73 () (_ @t68 @t18)) 0.54/1.03 (define @t74 () (_ (_ tptp.late_OutputR @t35) @t60)) 0.54/1.03 (define @t75 () (_ tptp.late_FreeR @t74)) 0.54/1.03 (define @t76 () (_ tptp.late_transitions @t63)) 0.54/1.03 (define @t77 () (_ @t76 (_ @t75 @t59))) 0.54/1.03 (define @t78 () (_ @t27 (_ @t49 @t22))) 0.54/1.03 (define @t79 () (@list @t18 @t35 @t23 @t22 @t63 @t60 @t59)) 0.54/1.03 (define @t80 () (@var "Name" tptp.name)) 0.54/1.03 (define @t81 () (_ (_ tptp.res @t80) @t1)) 0.54/1.03 (define @t82 () (_ tptp.tau @t5)) 0.54/1.03 (define @t83 () (@var "Y22" tptp.pi)) 0.54/1.03 (define @t84 () (@var "X2" tptp.pi)) 0.54/1.03 (define @t85 () (= @t84 @t83)) 0.54/1.03 (define @t86 () (@var "Y1" tptp.pi)) 0.54/1.03 (define @t87 () (= @t34 @t86)) 0.54/1.03 (define @t88 () (_ (_ tptp.sum @t84) @t34)) 0.54/1.03 (define @t89 () (@list @t84 @t34 @t83 @t86)) 0.54/1.03 (define @t90 () (@var "D" tptp.name)) 0.54/1.03 (define @t91 () (@var "C2" tptp.name)) 0.54/1.03 (define @t92 () (not (= @t35 @t91))) 0.54/1.03 (define @t93 () (_ tptp.output @t35)) 0.54/1.03 (define @t94 () (_ (_ @t93 @t60) @t18)) 0.54/1.03 (define @t95 () (_ tptp.late_transitions @t94)) 0.54/1.03 (define @t96 () (@var "P5" tptp.produc405342261i_name)) 0.54/1.03 (define @t97 () (@var "P" (-> tptp.produc405342261i_name Bool))) 0.54/1.03 (define @t98 () (@var "B4" tptp.name)) 0.54/1.03 (define @t99 () (@var "A5" (-> tptp.name tptp.noption_pi))) 0.54/1.03 (define @t100 () (_ (_ tptp.produc540578151i_name @t99) @t98)) 0.54/1.03 (define @t101 () (@list @t99 @t98)) 0.54/1.03 (define @t102 () (forall @t101 (_ @t97 @t100))) 0.54/1.03 (define @t103 () (@var "X1" tptp.name)) 0.54/1.03 (define @t104 () (_ (_ tptp.abs_fun_name_pi @t103) @t84)) 0.54/1.03 (define @t105 () (_ tptp.fresh_543891186ion_pi @t35)) 0.54/1.03 (define @t106 () (_ @t105 @t104)) 0.54/1.03 (define @t107 () (_ (_ tptp.res @t103) @t84)) 0.54/1.03 (define @t108 () (_ (_ tptp.subs @t59) @t23)) 0.54/1.03 (define @t109 () (_ tptp.par @t22)) 0.54/1.03 (define @t110 () (_ tptp.res @t16)) 0.54/1.03 (define @t111 () (_ @t66 (_ @t62 (_ @t110 (_ @t109 (_ @t108 @t16)))))) 0.54/1.03 (define @t112 () (_ @t19 @t63)) 0.54/1.03 (define @t113 () (_ @t76 (_ @t49 @t59))) 0.54/1.03 (define @t114 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t35))) 0.54/1.03 (define @t115 () (_ @t114 @t16)) 0.54/1.03 (define @t116 () (_ @t27 (_ @t115 @t22))) 0.54/1.03 (define @t117 () (@list @t18 @t35 @t16 @t22 @t63 @t23 @t59)) 0.54/1.03 (define @t118 () (_ tptp.mismatch @t35)) 0.54/1.03 (define @t119 () (_ (_ @t118 @t35) @t18)) 0.54/1.03 (define @t120 () (@var "Rel" tptp.set_Pr1834926343_pi_pi)) 0.54/1.03 (define @t121 () (_ (_ tptp.strong743114133lation tptp.piNil) @t120)) 0.54/1.03 (define @t122 () (_ @t19 @t22)) 0.54/1.03 (define @t123 () (not (= @t16 @t23))) 0.54/1.03 (define @t124 () (_ (_ tptp.strong743114133lation @t18) @t120)) 0.54/1.03 (define @t125 () (_ @t124 @t63)) 0.54/1.03 (define @t126 () (@var "P6" tptp.pi)) 0.54/1.03 (define @t127 () (@var "Alpha2" tptp.late_freeRes)) 0.54/1.03 (define @t128 () (_ tptp.late_FreeR @t127)) 0.54/1.03 (define @t129 () (_ @t27 (_ @t128 @t126))) 0.54/1.03 (define @t130 () (@var "Q3" tptp.pi)) 0.54/1.03 (define @t131 () (_ tptp.product_Pair_pi_pi @t126)) 0.54/1.03 (define @t132 () (_ (_ tptp.member558706512_pi_pi (_ @t131 @t130)) @t120)) 0.54/1.03 (define @t133 () (@list @t126)) 0.54/1.03 (define @t134 () (_ @t76 (_ @t128 @t130))) 0.54/1.03 (define @t135 () (@list @t127 @t130)) 0.54/1.03 (define @t136 () (=> (forall @t135 (=> @t134 (exists @t133 (and @t132 @t129)))) @t125)) 0.54/1.03 (define @t137 () (@var "X4" tptp.name)) 0.54/1.03 (define @t138 () (@var "A5" tptp.late_subject)) 0.54/1.03 (define @t139 () (_ tptp.late_BoundR @t138)) 0.54/1.03 (define @t140 () (_ @t139 @t137)) 0.54/1.03 (define @t141 () (_ @t27 (_ @t140 @t126))) 0.54/1.03 (define @t142 () (_ tptp.strong2129052853vative @t126)) 0.54/1.03 (define @t143 () (_ (_ @t142 @t130) @t138)) 0.54/1.03 (define @t144 () (_ (_ @t143 @t137) @t120)) 0.54/1.03 (define @t145 () (exists @t133 (and @t144 @t141))) 0.54/1.03 (define @t146 () (@var "C3" tptp.pi)) 0.54/1.03 (define @t147 () (_ tptp.fresh_name_pi @t137)) 0.54/1.03 (define @t148 () (_ tptp.fresh_717452603ubject @t137)) 0.54/1.03 (define @t149 () (_ @t148 @t138)) 0.54/1.03 (define @t150 () (_ @t147 @t63)) 0.54/1.03 (define @t151 () (_ @t147 @t18)) 0.54/1.03 (define @t152 () (_ @t140 @t130)) 0.54/1.03 (define @t153 () (_ @t76 @t152)) 0.54/1.03 (define @t154 () (@list @t138 @t137 @t130)) 0.54/1.03 (define @t155 () (_ tptp.eqvt_pi @t120)) 0.54/1.03 (define @t156 () (@var "Q" (-> tptp.product_prod_pi_pi Bool))) 0.54/1.03 (define @t157 () (@var "P" (-> tptp.product_prod_pi_pi Bool))) 0.54/1.03 (define @t158 () (_ tptp.collec1051790738_pi_pi @t157)) 0.54/1.03 (define @t159 () (@var "X4" tptp.product_prod_pi_pi)) 0.54/1.03 (define @t160 () (@var "Name3" tptp.name)) 0.54/1.03 (define @t161 () (@var "Y11" tptp.name)) 0.54/1.03 (define @t162 () (@var "X11" tptp.name)) 0.54/1.03 (define @t163 () (@var "Y12" tptp.name)) 0.54/1.03 (define @t164 () (@var "X122" tptp.name)) 0.54/1.03 (define @t165 () (_ (_ tptp.late_OutputR @t162) @t164)) 0.54/1.03 (define @t166 () (@var "Residual" tptp.late_residual)) 0.54/1.03 (define @t167 () (@var "Z" tptp.pi)) 0.54/1.03 (define @t168 () (@var "P" (-> tptp.pi tptp.late_residual Bool))) 0.54/1.03 (define @t169 () (@var "Pi3" tptp.pi)) 0.54/1.03 (define @t170 () (@var "FreeRes" tptp.late_freeRes)) 0.54/1.03 (define @t171 () (_ (_ tptp.late_FreeR @t170) @t169)) 0.54/1.03 (define @t172 () (@var "Z2" tptp.pi)) 0.54/1.03 (define @t173 () (_ @t168 @t172)) 0.54/1.03 (define @t174 () (@var "Name2" tptp.name)) 0.54/1.03 (define @t175 () (@var "Subject" tptp.late_subject)) 0.54/1.03 (define @t176 () (_ (_ (_ tptp.late_BoundR @t175) @t174) @t169)) 0.54/1.03 (define @t177 () (_ tptp.fresh_717452603ubject @t174)) 0.54/1.03 (define @t178 () (_ @t177 @t175)) 0.54/1.03 (define @t179 () (_ (_ tptp.fresh_name_pi @t174) @t172)) 0.54/1.03 (define @t180 () (@var "Prod" tptp.produc405342261i_name)) 0.54/1.03 (define @t181 () (@var "Rs" tptp.late_residual)) 0.54/1.03 (define @t182 () (_ tptp.bang @t18)) 0.54/1.03 (define @t183 () (_ (_ tptp.late_transitions @t182) @t181)) 0.54/1.03 (define @t184 () (@list @t18 @t181)) 0.54/1.03 (define @t185 () (_ @t66 (_ @t62 (_ @t110 (_ (_ tptp.par (_ @t61 @t16)) @t59))))) 0.54/1.03 (define @t186 () (_ @t76 (_ @t115 @t59))) 0.54/1.03 (define @t187 () (@list @t18 @t35 @t23 @t22 @t63 @t16 @t59)) 0.54/1.03 (define @t188 () (@var "F" (-> tptp.name tptp.name Bool))) 0.54/1.03 (define @t189 () (_ @t188 @t35)) 0.54/1.03 (define @t190 () (_ @t189 @t60)) 0.54/1.03 (define @t191 () (= @t35 @t60)) 0.54/1.03 (define @t192 () (_ @t27 @t181)) 0.54/1.03 (define @t193 () (_ (_ (_ tptp.match @t35) @t60) @t18)) 0.54/1.03 (define @t194 () (_ (_ tptp.late_transitions @t193) @t181)) 0.54/1.03 (define @t195 () (@list @t35 @t60 @t18 @t181 @t188)) 0.54/1.03 (define @t196 () (_ (_ (_ tptp.output @t41) @t38) @t34)) 0.54/1.03 (define @t197 () (_ @t62 @t22)) 0.54/1.03 (define @t198 () (_ tptp.res @t23)) 0.54/1.03 (define @t199 () (_ tptp.late_transitions (_ @t198 @t94))) 0.54/1.03 (define @t200 () (= @t60 @t35)) 0.54/1.03 (define @t201 () (_ (_ tptp.fresh_name_name @t60) @t23)) 0.54/1.03 (define @t202 () (_ tptp.abs_fun_name_name @t35)) 0.54/1.03 (define @t203 () (_ @t202 @t23)) 0.54/1.03 (define @t204 () (_ (_ tptp.fresh_1093033124n_name @t60) @t203)) 0.54/1.03 (define @t205 () (@list @t60 @t35 @t23)) 0.54/1.03 (define @t206 () (@var "C2" tptp.late_subject)) 0.54/1.03 (define @t207 () (@list @t35)) 0.54/1.03 (define @t208 () (_ @t64 tptp.piNil)) 0.54/1.03 (define @t209 () (@var "Q4" tptp.pi)) 0.54/1.03 (define @t210 () (_ (_ tptp.par @t209) tptp.piNil)) 0.54/1.03 (define @t211 () (@list @t209)) 0.54/1.03 (define @t212 () (@list @t120 @t18)) 0.54/1.03 (define @t213 () (@var "A" tptp.product_prod_pi_pi)) 0.54/1.03 (define @t214 () (@var "Y" tptp.pi)) 0.54/1.03 (define @t215 () (@var "X" tptp.pi)) 0.54/1.03 (define @t216 () (_ tptp.abs_fun_name_pi @t35)) 0.54/1.03 (define @t217 () (_ @t216 @t215)) 0.54/1.03 (define @t218 () (@list @t35 @t215 @t214)) 0.54/1.03 (define @t219 () (_ @t124 (_ @t198 @t63))) 0.54/1.03 (define @t220 () (_ @t198 @t130)) 0.54/1.03 (define @t221 () (_ (_ tptp.member558706512_pi_pi (_ @t131 @t220)) @t120)) 0.54/1.03 (define @t222 () (_ tptp.fresh_1641682979reeRes @t23)) 0.54/1.03 (define @t223 () (_ @t222 @t127)) 0.54/1.03 (define @t224 () (@list @t130 @t127)) 0.54/1.03 (define @t225 () (@var "Y2" tptp.name)) 0.54/1.03 (define @t226 () (_ @t139 @t225)) 0.54/1.03 (define @t227 () (_ @t27 (_ @t226 @t126))) 0.54/1.03 (define @t228 () (_ (_ (_ (_ @t142 @t220) @t138) @t225) @t120)) 0.54/1.03 (define @t229 () (exists @t133 (and @t228 @t227))) 0.54/1.03 (define @t230 () (@var "C3" tptp.late_subject)) 0.54/1.03 (define @t231 () (_ tptp.fresh_717452603ubject @t225)) 0.54/1.03 (define @t232 () (not (= @t23 @t225))) 0.54/1.03 (define @t233 () (_ tptp.fresh_717452603ubject @t23)) 0.54/1.03 (define @t234 () (_ @t233 @t138)) 0.54/1.03 (define @t235 () (_ @t76 (_ @t226 @t130))) 0.54/1.03 (define @t236 () (@list @t130 @t138 @t225)) 0.54/1.03 (define @t237 () (@var "A5" tptp.name)) 0.54/1.03 (define @t238 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t237))) 0.54/1.03 (define @t239 () (_ @t27 (_ (_ @t238 @t23) @t126))) 0.54/1.03 (define @t240 () (not (= @t237 @t23))) 0.54/1.03 (define @t241 () (_ tptp.late_OutputR @t237)) 0.54/1.03 (define @t242 () (_ @t76 (_ (_ tptp.late_FreeR (_ @t241 @t23)) @t130))) 0.54/1.03 (define @t243 () (@list @t130 @t237)) 0.54/1.03 (define @t244 () (forall @t243 (=> @t242 (=> @t240 (exists @t133 (and @t239 @t132)))))) 0.54/1.03 (define @t245 () (_ (_ (_ tptp.match @t7) @t6) @t5)) 0.54/1.03 (define @t246 () (@list @t7 @t6 @t5 @t80 @t1)) 0.54/1.03 (define @t247 () (@var "Pi22" tptp.pi)) 0.54/1.03 (define @t248 () (@var "Pi12" tptp.pi)) 0.54/1.03 (define @t249 () (_ (_ tptp.par @t248) @t247)) 0.54/1.03 (define @t250 () (@list @t7 @t6 @t5 @t248 @t247)) 0.54/1.03 (define @t251 () (_ tptp.bang @t1)) 0.54/1.03 (define @t252 () (_ (_ (_ tptp.output @t7) @t6) @t5)) 0.54/1.03 (define @t253 () (@list @t7 @t6 @t5 @t1)) 0.54/1.03 (define @t254 () (_ @t64 @t59)) 0.54/1.03 (define @t255 () (@var "Alpha" tptp.late_freeRes)) 0.54/1.03 (define @t256 () (_ tptp.late_FreeR @t255)) 0.54/1.03 (define @t257 () (_ @t76 (_ @t256 @t59))) 0.54/1.03 (define @t258 () (_ tptp.fresh_name_pi @t60)) 0.54/1.03 (define @t259 () (_ @t39 @t103)) 0.54/1.03 (define @t260 () (_ tptp.late_InputS @t103)) 0.54/1.03 (define @t261 () (_ tptp.fresh_717452603ubject @t35)) 0.54/1.03 (define @t262 () (_ @t261 @t260)) 0.54/1.03 (define @t263 () (= @t262 @t259)) 0.54/1.03 (define @t264 () (@list @t35 @t103)) 0.54/1.03 (define @t265 () (forall @t264 @t263)) 0.54/1.03 (define @t266 () (_ (_ (_ tptp.mismatch @t3) @t2) @t1)) 0.54/1.03 (define @t267 () (_ @t256 @t22)) 0.54/1.03 (define @t268 () (_ @t76 @t181)) 0.54/1.03 (define @t269 () (_ (_ tptp.sum @t18) @t63)) 0.54/1.03 (define @t270 () (_ (_ tptp.late_transitions @t269) @t181)) 0.54/1.03 (define @t271 () (@var "Prod" tptp.produc1462499409ion_pi)) 0.54/1.03 (define @t272 () (@var "P" (-> tptp.produc1462499409ion_pi Bool))) 0.54/1.03 (define @t273 () (@var "B4" (-> tptp.name tptp.noption_pi))) 0.54/1.03 (define @t274 () (_ (_ tptp.produc1342893193ion_pi @t99) @t273)) 0.54/1.03 (define @t275 () (@list @t99 @t273)) 0.54/1.03 (define @t276 () (forall @t275 (_ @t272 @t274))) 0.54/1.03 (define @t277 () (_ tptp.fresh_1641682979reeRes @t225)) 0.54/1.03 (define @t278 () (@var "P3" tptp.pi)) 0.54/1.03 (define @t279 () (@var "P4" tptp.pi)) 0.54/1.03 (define @t280 () (_ tptp.late_transitions @t279)) 0.54/1.03 (define @t281 () (=> (_ @t280 (_ @t128 @t278)) (not (_ @t277 @t127)))) 0.54/1.03 (define @t282 () (_ tptp.res @t225)) 0.54/1.03 (define @t283 () (_ @t282 @t278)) 0.54/1.03 (define @t284 () (_ @t128 @t283)) 0.54/1.03 (define @t285 () (_ @t282 @t279)) 0.54/1.03 (define @t286 () (_ @t198 @t18)) 0.54/1.03 (define @t287 () (= @t286 @t285)) 0.54/1.03 (define @t288 () (@list @t279 @t127 @t278 @t225)) 0.54/1.03 (define @t289 () (_ tptp.late_transitions @t286)) 0.54/1.03 (define @t290 () (@list @t23 @t16)) 0.54/1.03 (define @t291 () (@var "Y22" tptp.late_freeRes)) 0.54/1.03 (define @t292 () (@var "X2" tptp.late_freeRes)) 0.54/1.03 (define @t293 () (= @t292 @t291)) 0.54/1.03 (define @t294 () (@var "Z" tptp.late_subject)) 0.54/1.03 (define @t295 () (@var "P" (-> tptp.late_subject tptp.late_residual Bool))) 0.54/1.03 (define @t296 () (@var "Z2" tptp.late_subject)) 0.54/1.03 (define @t297 () (_ @t295 @t296)) 0.54/1.03 (define @t298 () (_ @t177 @t296)) 0.54/1.03 (define @t299 () (@var "B3" tptp.name)) 0.54/1.03 (define @t300 () (= @t60 @t299)) 0.54/1.03 (define @t301 () (@var "A4" (-> tptp.name tptp.noption_pi))) 0.54/1.03 (define @t302 () (@var "A" (-> tptp.name tptp.noption_pi))) 0.54/1.03 (define @t303 () (= @t302 @t301)) 0.54/1.03 (define @t304 () (= (_ (_ tptp.produc540578151i_name @t302) @t60) (_ (_ tptp.produc540578151i_name @t301) @t299))) 0.54/1.03 (define @t305 () (@list @t302 @t60 @t301 @t299)) 0.54/1.03 (define @t306 () (_ (_ (_ tptp.input @t3) @t2) @t1)) 0.54/1.03 (define @t307 () (@list @t5 @t3 @t2 @t1)) 0.54/1.03 (define @t308 () (_ tptp.subs @t18)) 0.54/1.03 (define @t309 () (_ (_ @t308 @t60) @t91)) 0.54/1.03 (define @t310 () (_ @t36 @t18)) 0.54/1.03 (define @t311 () (@var "FreeRes2" tptp.late_freeRes)) 0.54/1.03 (define @t312 () (@var "Subject2" tptp.late_subject)) 0.54/1.03 (define @t313 () (_ (_ tptp.fresh_name_pi tptp.x) tptp.p)) 0.54/1.03 (define @t314 () (= @t23 @t16)) 0.54/1.03 (define @t315 () (not @t314)) 0.54/1.03 (define @t316 () (not (= @t16 @t35))) 0.54/1.03 (define @t317 () (@var "P5" tptp.produc1462499409ion_pi)) 0.54/1.03 (define @t318 () (@var "B3" tptp.pi)) 0.54/1.03 (define @t319 () (@var "B2" tptp.pi)) 0.54/1.03 (define @t320 () (= @t319 @t318)) 0.54/1.03 (define @t321 () (not @t320)) 0.54/1.03 (define @t322 () (= (_ (_ tptp.produc1820286517_pi_pi @t302) @t319) (_ (_ tptp.produc1820286517_pi_pi @t301) @t318))) 0.54/1.03 (define @t323 () (@list @t302 @t319 @t301 @t318)) 0.54/1.03 (define @t324 () (@var "Z" tptp.late_freeRes)) 0.54/1.03 (define @t325 () (@var "P" (-> tptp.late_freeRes tptp.pi Bool))) 0.54/1.03 (define @t326 () (_ tptp.bang @t169)) 0.54/1.03 (define @t327 () (@var "Z2" tptp.late_freeRes)) 0.54/1.03 (define @t328 () (_ @t325 @t327)) 0.54/1.03 (define @t329 () (@var "Za" tptp.late_freeRes)) 0.54/1.03 (define @t330 () (_ @t325 @t329)) 0.54/1.03 (define @t331 () (@list @t329)) 0.54/1.03 (define @t332 () (forall @t331 (_ @t330 @t169))) 0.54/1.03 (define @t333 () (@list @t169 @t327)) 0.54/1.03 (define @t334 () (_ (_ tptp.res @t174) @t169)) 0.54/1.03 (define @t335 () (_ (_ tptp.fresh_1641682979reeRes @t174) @t327)) 0.54/1.03 (define @t336 () (@var "Pi23" tptp.pi)) 0.54/1.03 (define @t337 () (@var "Pi13" tptp.pi)) 0.54/1.03 (define @t338 () (_ (_ tptp.par @t337) @t336)) 0.54/1.03 (define @t339 () (forall @t331 (_ @t330 @t336))) 0.54/1.03 (define @t340 () (forall @t331 (_ @t330 @t337))) 0.54/1.03 (define @t341 () (@list @t337 @t336 @t327)) 0.54/1.03 (define @t342 () (_ (_ tptp.sum @t337) @t336)) 0.54/1.03 (define @t343 () (@var "Name22" tptp.name)) 0.54/1.03 (define @t344 () (@var "Name1" tptp.name)) 0.54/1.03 (define @t345 () (_ (_ (_ tptp.mismatch @t344) @t343) @t169)) 0.54/1.03 (define @t346 () (@list @t344 @t343 @t169 @t327)) 0.54/1.03 (define @t347 () (_ (_ (_ tptp.match @t344) @t343) @t169)) 0.54/1.03 (define @t348 () (_ (_ (_ tptp.input @t344) @t343) @t169)) 0.54/1.03 (define @t349 () (_ tptp.fresh_name_name @t343)) 0.54/1.03 (define @t350 () (_ @t349 @t344)) 0.54/1.03 (define @t351 () (_ tptp.tau @t169)) 0.54/1.03 (define @t352 () (_ (_ (_ tptp.output @t344) @t343) @t169)) 0.54/1.03 (define @t353 () (@var "Y" tptp.late_subject)) 0.54/1.03 (define @t354 () (@var "X" tptp.late_subject)) 0.54/1.03 (define @t355 () (_ tptp.abs_fu1904601852ubject @t35)) 0.54/1.03 (define @t356 () (_ @t355 @t354)) 0.54/1.03 (define @t357 () (@list @t35 @t354 @t353)) 0.54/1.03 (define @t358 () (@var "B4" tptp.late_subject)) 0.54/1.03 (define @t359 () (_ (_ tptp.produc581368530ubject @t99) @t358)) 0.54/1.03 (define @t360 () (@var "Y" tptp.produc691362330ubject)) 0.54/1.03 (define @t361 () (@list @t99 @t358)) 0.54/1.03 (define @t362 () (= @t35 @t237)) 0.54/1.03 (define @t363 () (@list @t35 @t60 @t18 @t181)) 0.54/1.03 (define @t364 () (_ (_ tptp.fresh_717452603ubject @t60) @t354)) 0.54/1.03 (define @t365 () (_ (_ tptp.fresh_728038529ubject @t60) @t356)) 0.54/1.03 (define @t366 () (@list @t60 @t35 @t354)) 0.54/1.03 (define @t367 () (_ tptp.tau @t18)) 0.54/1.03 (define @t368 () (_ tptp.late_transitions @t367)) 0.54/1.03 (define @t369 () (@var "P5" tptp.produc691362330ubject)) 0.54/1.03 (define @t370 () (@var "P" (-> tptp.produc691362330ubject Bool))) 0.54/1.03 (define @t371 () (forall @t361 (_ @t370 @t359))) 0.54/1.03 (define @t372 () (@var "Y" tptp.produc1462499409ion_pi)) 0.54/1.03 (define @t373 () (@var "Y" tptp.late_freeRes)) 0.54/1.03 (define @t374 () (_ tptp.abs_fu681348580reeRes @t35)) 0.54/1.03 (define @t375 () (_ @t374 @t46)) 0.54/1.03 (define @t376 () (@list @t35 @t46 @t373)) 0.54/1.03 (define @t377 () (@var "Y22" tptp.name)) 0.54/1.03 (define @t378 () (= @t38 @t377)) 0.54/1.03 (define @t379 () (@var "Y32" tptp.name)) 0.54/1.03 (define @t380 () (= @t41 @t379)) 0.54/1.03 (define @t381 () (and @t380 @t87 @t378)) 0.54/1.03 (define @t382 () (@list @t41 @t38 @t34 @t379 @t377 @t86)) 0.54/1.03 (define @t383 () (@var "P5" tptp.produc629157763_pi_pi)) 0.54/1.03 (define @t384 () (@var "P" (-> tptp.produc629157763_pi_pi Bool))) 0.54/1.03 (define @t385 () (@var "B4" tptp.pi)) 0.54/1.03 (define @t386 () (_ (_ tptp.produc1820286517_pi_pi @t99) @t385)) 0.54/1.03 (define @t387 () (@list @t99 @t385)) 0.54/1.03 (define @t388 () (forall @t387 (_ @t384 @t386))) 0.54/1.03 (define @t389 () (and @t85 @t87)) 0.54/1.03 (define @t390 () (_ (_ tptp.par @t84) @t34)) 0.54/1.03 (define @t391 () (@list @t3 @t2 @t1)) 0.54/1.03 (define @t392 () (_ tptp.fresh_1641682979reeRes @t60)) 0.54/1.03 (define @t393 () (@var "P" Bool)) 0.54/1.03 (define @t394 () (_ @t308 @t35)) 0.54/1.03 (define @t395 () (_ @t394 @t60)) 0.54/1.03 (define @t396 () (not @t191)) 0.54/1.03 (define @t397 () (@list @t35 @t60 @t18)) 0.54/1.03 (define @t398 () (_ @t36 @t84)) 0.54/1.03 (define @t399 () (@list @t35 @t84 @t34)) 0.54/1.03 (define @t400 () (@list @t279)) 0.54/1.03 (define @t401 () (not @t149)) 0.54/1.03 (define @t402 () (_ @t147 @t279)) 0.54/1.03 (define @t403 () (=> @t402 (=> (_ @t147 @t209) @t401))) 0.54/1.03 (define @t404 () (_ tptp.par @t279)) 0.54/1.03 (define @t405 () (@var "B2" tptp.late_subject)) 0.54/1.03 (define @t406 () (_ (_ (_ tptp.late_BoundR @t405) @t16) @t22)) 0.54/1.03 (define @t407 () (= @t65 (_ @t404 @t209))) 0.54/1.03 (define @t408 () (_ @t280 (_ @t140 @t278))) 0.54/1.03 (define @t409 () (_ tptp.par @t278)) 0.54/1.03 (define @t410 () (_ tptp.tau @t1)) 0.54/1.03 (define @t411 () (_ @t75 @t22)) 0.54/1.03 (define @t412 () (_ tptp.late_transitions (_ @t198 @t367))) 0.54/1.03 (define @t413 () (@var "B3" (-> tptp.name tptp.noption_pi))) 0.54/1.03 (define @t414 () (@var "B2" (-> tptp.name tptp.noption_pi))) 0.54/1.03 (define @t415 () (= @t414 @t413)) 0.54/1.03 (define @t416 () (= (_ (_ tptp.produc1342893193ion_pi @t302) @t414) (_ (_ tptp.produc1342893193ion_pi @t301) @t413))) 0.54/1.03 (define @t417 () (@list @t302 @t414 @t301 @t413)) 0.54/1.03 (define @t418 () (@var "S" tptp.pi)) 0.54/1.03 (define @t419 () (@var "R" tptp.pi)) 0.54/1.03 (define @t420 () (_ tptp.par @t419)) 0.54/1.03 (define @t421 () (_ @t420 @t418)) 0.54/1.03 (define @t422 () (_ @t420 (_ @t110 @t418))) 0.54/1.03 (define @t423 () (_ @t19 @t419)) 0.54/1.03 (define @t424 () (_ (_ tptp.sum @t248) @t247)) 0.54/1.03 (define @t425 () (_ tptp.late_FreeR tptp.alpha)) 0.54/1.03 (define @t426 () (_ (_ tptp.par tptp.p) tptp.q)) 0.54/1.03 (define @t427 () (@var "Prod" tptp.product_prod_pi_pi)) 0.54/1.03 (define @t428 () (@var "A5" tptp.pi)) 0.54/1.03 (define @t429 () (_ (_ tptp.product_Pair_pi_pi @t428) @t385)) 0.54/1.03 (define @t430 () (@list @t428 @t385)) 0.54/1.03 (define @t431 () (forall @t430 (_ @t157 @t429))) 0.54/1.03 (define @t432 () (_ tptp.late_FreeR (_ @t241 @t98))) 0.54/1.03 (define @t433 () (= @t18 @t279)) 0.54/1.03 (define @t434 () (and @t362 @t433 (= @t60 @t98))) 0.54/1.03 (define @t435 () (@var "XP" tptp.pi)) 0.54/1.03 (define @t436 () (@var "F" (-> tptp.pi Bool))) 0.54/1.03 (define @t437 () (_ @t27 (_ @t256 @t278))) 0.54/1.03 (define @t438 () (@list @t278)) 0.54/1.03 (define @t439 () (_ @t66 (_ @t62 (_ @t109 (_ @t108 @t60))))) 0.54/1.03 (define @t440 () (_ @t68 @t22)) 0.54/1.03 (define @t441 () (_ @t27 @t411)) 0.54/1.03 (define @t442 () (@list @t18 @t35 @t60 @t22 @t63 @t23 @t59)) 0.54/1.03 (define @t443 () (@var "X123" tptp.name)) 0.54/1.03 (define @t444 () (@var "X112" tptp.name)) 0.54/1.03 (define @t445 () (_ tptp.fresh_name_pi tptp.z)) 0.54/1.03 (define @t446 () (@var "Pi2" tptp.pi)) 0.54/1.03 (define @t447 () (@var "Pi1" tptp.pi)) 0.54/1.03 (define @t448 () (_ (_ tptp.sum @t447) @t446)) 0.54/1.03 (define @t449 () (@list @t447 @t446 @t1)) 0.54/1.03 (define @t450 () (@var "Prop" (-> tptp.late_freeRes tptp.pi Bool))) 0.54/1.03 (define @t451 () (_ (_ @t450 @t255) @t22)) 0.54/1.03 (define @t452 () (= @t18 @t22)) 0.54/1.03 (define @t453 () (_ @t95 @t267)) 0.54/1.03 (define @t454 () (@var "X" (-> tptp.name tptp.noption_pi))) 0.54/1.03 (define @t455 () (_ (_ tptp.fresh_453496559i_name @t35) (_ (_ tptp.produc540578151i_name @t454) @t16))) 0.54/1.03 (define @t456 () (@list @t35 @t454 @t16)) 0.54/1.03 (define @t457 () (_ (_ tptp.par @t447) @t446)) 0.54/1.03 (define @t458 () (@list @t447 @t446 @t80 @t1)) 0.54/1.03 (define @t459 () (@var "Y2" (-> tptp.name tptp.noption_pi))) 0.54/1.03 (define @t460 () (_ tptp.late_BoundOutputS @t38)) 0.54/1.03 (define @t461 () (_ @t105 @t454)) 0.54/1.03 (define @t462 () (_ (_ tptp.fresh_567880928ubject @t35) (_ (_ tptp.produc581368530ubject @t454) @t353))) 0.54/1.03 (define @t463 () (@list @t35 @t454 @t353)) 0.54/1.03 (define @t464 () (@var "Y1" tptp.name)) 0.54/1.03 (define @t465 () (= @t103 @t464)) 0.54/1.03 (define @t466 () (_ tptp.late_BoundOutputS @t103)) 0.54/1.03 (define @t467 () (@list @t103 @t464)) 0.54/1.03 (define @t468 () (_ (_ tptp.late_OutputR @t38) @t103)) 0.54/1.03 (define @t469 () (@var "Z" tptp.name)) 0.54/1.03 (define @t470 () (_ tptp.res @t469)) 0.54/1.03 (define @t471 () (@var "Y2" tptp.pi)) 0.54/1.03 (define @t472 () (@var "X4" tptp.pi)) 0.54/1.03 (define @t473 () (@var "P5" tptp.product_prod_pi_pi)) 0.54/1.03 (define @t474 () (_ (_ @t118 @t60) @t18)) 0.54/1.03 (define @t475 () (_ (_ tptp.late_transitions @t474) @t181)) 0.54/1.03 (define @t476 () (_ tptp.res @t60)) 0.54/1.03 (define @t477 () (@list @t18 @t35 @t60 @t22)) 0.54/1.03 (define @t478 () (_ tptp.par @t63)) 0.54/1.03 (define @t479 () (@var "U" tptp.pi)) 0.54/1.03 (define @t480 () (@var "T" tptp.pi)) 0.54/1.03 (define @t481 () (_ (_ tptp.par @t480) @t479)) 0.54/1.03 (define @t482 () (@var "S2" tptp.pi)) 0.54/1.03 (define @t483 () (_ tptp.par @t482)) 0.54/1.03 (define @t484 () (_ @t483 @t481)) 0.54/1.03 (define @t485 () (_ tptp.res @t137)) 0.54/1.03 (define @t486 () (_ @t483 @t480)) 0.54/1.03 (define @t487 () (@list @t482 @t480 @t479 @t137)) 0.54/1.03 (define @t488 () (_ (_ tptp.par @t486) @t479)) 0.54/1.03 (define @t489 () (_ @t485 @t482)) 0.54/1.03 (define @t490 () (_ @t261 @t353)) 0.54/1.03 (define @t491 () (_ @t261 @t354)) 0.54/1.03 (define @t492 () (@var "Y" tptp.product_prod_pi_pi)) 0.54/1.03 (define @t493 () (= @t104 (_ (_ tptp.abs_fun_name_pi @t464) @t83))) 0.54/1.03 (define @t494 () (_ (_ (_ tptp.input @t41) @t103) @t84)) 0.54/1.03 (define @t495 () (=> (forall @t224 (=> @t134 (=> @t223 (exists @t133 (and @t129 @t221))))) @t219)) 0.54/1.03 (define @t496 () (exists @t133 (and @t227 @t228))) 0.54/1.03 (define @t497 () (@var "C3" tptp.name)) 0.54/1.03 (define @t498 () (forall @t243 (=> @t242 (=> @t240 (exists @t133 (and @t132 @t239)))))) 0.54/1.03 (define @t499 () (= tptp.x tptp.aa)) 0.54/1.03 (define @t500 () (@var "A4" tptp.pi)) 0.54/1.03 (define @t501 () (@var "A" tptp.pi)) 0.54/1.03 (define @t502 () (= @t501 @t500)) 0.54/1.03 (define @t503 () (= (_ (_ tptp.product_Pair_pi_pi @t501) @t319) (_ (_ tptp.product_Pair_pi_pi @t500) @t318))) 0.54/1.03 (define @t504 () (@list @t501 @t319 @t500 @t318)) 0.54/1.03 (define @t505 () (@var "R2" tptp.pi)) 0.54/1.03 (define @t506 () (_ tptp.bang @t34)) 0.54/1.03 (define @t507 () (@list @t34 @t86)) 0.54/1.03 (define @t508 () (@var "P" (-> tptp.late_subject tptp.pi Bool))) 0.54/1.03 (define @t509 () (_ @t508 @t296)) 0.54/1.03 (define @t510 () (@var "Za" tptp.late_subject)) 0.54/1.03 (define @t511 () (_ @t508 @t510)) 0.54/1.03 (define @t512 () (@list @t510)) 0.54/1.03 (define @t513 () (forall @t512 (_ @t511 @t169))) 0.54/1.03 (define @t514 () (@list @t169 @t296)) 0.54/1.03 (define @t515 () (forall @t512 (_ @t511 @t336))) 0.54/1.03 (define @t516 () (forall @t512 (_ @t511 @t337))) 0.54/1.03 (define @t517 () (@list @t337 @t336 @t296)) 0.54/1.03 (define @t518 () (@list @t344 @t343 @t169 @t296)) 0.54/1.03 (define @t519 () (_ (_ tptp.fresh_1711070152reeRes @t35) (_ (_ tptp.produc1505598906reeRes @t454) @t373))) 0.54/1.03 (define @t520 () (@list @t35 @t454 @t373)) 0.54/1.03 (define @t521 () (_ tptp.fresh_name_pi @t225)) 0.54/1.03 (define @t522 () (_ @t110 @t22)) 0.54/1.03 (define @t523 () (_ tptp.late_transitions (_ @t110 @t18))) 0.54/1.03 (define @t524 () (_ @t523 (_ @t25 @t522))) 0.54/1.03 (define @t525 () (@var "Y32" tptp.late_subject)) 0.54/1.03 (define @t526 () (@var "X32" tptp.late_subject)) 0.54/1.03 (define @t527 () (_ (_ (_ tptp.late_BoundR @t526) @t103) @t84)) 0.54/1.03 (define @t528 () (_ @t39 @t23)) 0.54/1.03 (define @t529 () (_ @t57 @t373)) 0.54/1.03 (define @t530 () (_ @t36 @t214)) 0.54/1.03 (define @t531 () (exists @t133 (and @t141 @t144))) 0.54/1.03 (define @t532 () (_ (_ (_ tptp.mismatch @t7) @t6) @t5)) 0.54/1.03 (define @t533 () (@var "Prod" tptp.produc1834551554reeRes)) 0.54/1.03 (define @t534 () (@var "P" (-> tptp.produc1834551554reeRes Bool))) 0.54/1.03 (define @t535 () (@var "B4" tptp.late_freeRes)) 0.54/1.03 (define @t536 () (_ (_ tptp.produc1505598906reeRes @t99) @t535)) 0.54/1.03 (define @t537 () (@list @t99 @t535)) 0.54/1.03 (define @t538 () (forall @t537 (_ @t534 @t536))) 0.54/1.03 (define @t539 () (_ (_ tptp.fresh_1627595501_pi_pi @t35) (_ (_ tptp.product_Pair_pi_pi @t215) @t214))) 0.54/1.03 (define @t540 () (_ tptp.late_transitions tptp.p)) 0.54/1.03 (define @t541 () (_ @t109 @t63)) 0.54/1.03 (define @t542 () (_ @t66 (_ @t25 @t541))) 0.54/1.03 (define @t543 () (_ @t233 @t15)) 0.54/1.03 (define @t544 () (@list @t18 @t15 @t23 @t22 @t63)) 0.54/1.03 (define @t545 () (_ tptp.fresh_name_pi tptp.y)) 0.54/1.03 (define @t546 () (@var "C3" tptp.late_freeRes)) 0.54/1.03 (define @t547 () (_ (_ tptp.late_FreeR @t292) @t34)) 0.54/1.03 (define @t548 () (_ tptp.fresh_81631222sidual @t35)) 0.54/1.03 (define @t549 () (@var "Prod" tptp.produc629157763_pi_pi)) 0.54/1.03 (define @t550 () (_ @t27 @t267)) 0.54/1.03 (define @t551 () (@list @t18 @t255 @t22 @t16)) 0.54/1.03 (define @t552 () (_ tptp.tau @t34)) 0.54/1.03 (define @t553 () (@list @t35 @t34)) 0.54/1.03 (define @t554 () (@var "Y" (-> tptp.name tptp.noption_pi))) 0.54/1.03 (define @t555 () (_ (_ tptp.fresh_225680151ion_pi @t35) (_ (_ tptp.produc1342893193ion_pi @t454) @t554))) 0.54/1.03 (define @t556 () (@list @t35 @t454 @t554)) 0.54/1.03 (define @t557 () (_ (_ tptp.fresh_1641682979reeRes @t16) @t255)) 0.54/1.03 (define @t558 () (_ @t476 @t395)) 0.54/1.03 (define @t559 () (_ (_ tptp.res @t35) @t18)) 0.54/1.03 (define @t560 () (_ @t258 @t18)) 0.54/1.03 (define @t561 () (@list @t60 @t18 @t35)) 0.54/1.03 (define @t562 () (@var "Y" tptp.produc405342261i_name)) 0.54/1.03 (define @t563 () (@list @t5 @t248 @t247)) 0.54/1.03 (define @t564 () (_ (_ @t308 @t91) @t90)) 0.54/1.03 (define @t565 () (not (= @t23 @t90))) 0.54/1.03 (define @t566 () (not (= @t23 @t91))) 0.54/1.03 (define @t567 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t60))) 0.54/1.03 (define @t568 () (=> (forall @t135 (=> @t134 (exists @t133 (and @t129 @t132)))) @t125)) 0.54/1.03 (define @t569 () (=> @t408 (=> (_ @t231 @t138) (=> (not (= @t225 @t137)) (=> @t402 @t401))))) 0.54/1.03 (define @t570 () (_ @t140 @t283)) 0.54/1.03 (define @t571 () (@list @t279 @t138 @t137 @t278 @t225)) 0.54/1.03 (define @t572 () (= @t237 @t98)) 0.54/1.03 (define @t573 () (=> (_ @t280 (_ @t432 @t278)) @t572)) 0.54/1.03 (define @t574 () (_ (_ @t238 @t98) @t278)) 0.54/1.03 (define @t575 () (_ (_ tptp.res @t98) @t279)) 0.54/1.03 (define @t576 () (@list @t279 @t237 @t98)) 0.54/1.03 (define @t577 () (@var "Y" tptp.produc1834551554reeRes)) 0.54/1.03 (define @t578 () (_ tptp.bang @t279)) 0.54/1.03 (define @t579 () (@var "PQ" tptp.pi)) 0.54/1.03 (define @t580 () (@var "Prop" (-> tptp.pi Bool))) 0.54/1.03 (define @t581 () (_ @t27 (_ @t25 @t278))) 0.54/1.03 (define @t582 () (_ @t280 @t181)) 0.54/1.03 (define @t583 () (@var "P" (-> tptp.name tptp.pi Bool))) 0.54/1.03 (define @t584 () (@var "Z2" tptp.name)) 0.54/1.03 (define @t585 () (_ @t583 @t584)) 0.54/1.03 (define @t586 () (@var "Za" tptp.name)) 0.54/1.03 (define @t587 () (_ @t583 @t586)) 0.54/1.03 (define @t588 () (@list @t586)) 0.54/1.03 (define @t589 () (forall @t588 (_ @t587 @t169))) 0.54/1.03 (define @t590 () (@list @t169 @t584)) 0.54/1.03 (define @t591 () (_ (_ tptp.fresh_name_name @t174) @t584)) 0.54/1.03 (define @t592 () (forall @t588 (_ @t587 @t336))) 0.54/1.03 (define @t593 () (forall @t588 (_ @t587 @t337))) 0.54/1.03 (define @t594 () (@list @t337 @t336 @t584)) 0.54/1.03 (define @t595 () (@list @t344 @t343 @t169 @t584)) 0.54/1.03 (define @t596 () (@var "Y" tptp.produc629157763_pi_pi)) 0.54/1.03 (define @t597 () (@var "P" (-> tptp.name tptp.late_residual Bool))) 0.54/1.03 (define @t598 () (_ @t597 @t584)) 0.54/1.03 (define @t599 () (@var "B3" tptp.late_freeRes)) 0.54/1.03 (define @t600 () (@var "B2" tptp.late_freeRes)) 0.54/1.03 (define @t601 () (= @t600 @t599)) 0.54/1.03 (define @t602 () (= (_ (_ tptp.produc1505598906reeRes @t302) @t600) (_ (_ tptp.produc1505598906reeRes @t301) @t599))) 0.54/1.03 (define @t603 () (@list @t302 @t600 @t301 @t599)) 0.54/1.03 (define @t604 () (@var "Y2" tptp.late_subject)) 0.54/1.03 (define @t605 () (@var "P" (-> tptp.pi tptp.pi Bool))) 0.54/1.03 (define @t606 () (_ @t605 @t172)) 0.54/1.03 (define @t607 () (@var "Za" tptp.pi)) 0.54/1.03 (define @t608 () (_ @t605 @t607)) 0.54/1.03 (define @t609 () (@list @t607)) 0.54/1.03 (define @t610 () (forall @t609 (_ @t608 @t169))) 0.54/1.03 (define @t611 () (@list @t169 @t172)) 0.54/1.03 (define @t612 () (forall @t609 (_ @t608 @t336))) 0.54/1.03 (define @t613 () (forall @t609 (_ @t608 @t337))) 0.54/1.03 (define @t614 () (@list @t337 @t336 @t172)) 0.54/1.03 (define @t615 () (@list @t344 @t343 @t169 @t172)) 0.54/1.03 (define @t616 () (_ (_ (_ tptp.match @t41) @t38) @t34)) 0.54/1.03 (define @t617 () (_ @t76 (_ @t25 @t59))) 0.54/1.03 (define @t618 () (@var "A3" tptp.set_Pr1834926343_pi_pi)) 0.54/1.03 (define @t619 () (@var "X3" tptp.product_prod_pi_pi)) 0.54/1.03 (define @t620 () (@var "B3" tptp.late_subject)) 0.54/1.03 (define @t621 () (= @t405 @t620)) 0.54/1.03 (define @t622 () (= (_ (_ tptp.produc581368530ubject @t302) @t405) (_ (_ tptp.produc581368530ubject @t301) @t620))) 0.54/1.03 (define @t623 () (@list @t302 @t405 @t301 @t620)) 0.54/1.03 (define @t624 () (_ (_ tptp.fresh_253309757_pi_pi @t35) (_ (_ tptp.produc1820286517_pi_pi @t454) @t214))) 0.54/1.03 (define @t625 () (@list @t35 @t454 @t214)) 0.54/1.03 (define @t626 () (@var "X22" tptp.name)) 0.54/1.03 (define @t627 () (@var "X12" tptp.name)) 0.54/1.03 (define @t628 () (@var "P" (-> tptp.late_residual Bool))) 0.54/1.03 (define @t629 () (_ tptp.subst_name @t35)) 0.54/1.03 (define @t630 () (_ (_ @t629 @t91) @t90)) 0.54/1.03 (define @t631 () (_ tptp.subs @t51)) 0.54/1.03 (define @t632 () (@var "Prod" tptp.produc691362330ubject)) 0.54/1.03 (define @t633 () (@var "Y3" tptp.name)) 0.54/1.03 (define @t634 () (_ (_ @t24 @t633) @t22)) 0.54/1.03 (define @t635 () (@var "X5" tptp.name)) 0.54/1.03 (define @t636 () (_ (_ tptp.res @t635) @t18)) 0.54/1.03 (define @t637 () (@var "P" (-> tptp.late_freeRes tptp.late_residual Bool))) 0.54/1.03 (define @t638 () (_ @t637 @t327)) 0.54/1.03 (define @t639 () (@list @t18 @t91 @t90)) 0.54/1.03 (define @t640 () (_ @t66 (_ @t25 @t254))) 0.54/1.03 (define @t641 () (@list @t63 @t15 @t23 @t59 @t18)) 0.54/1.03 (define @t642 () (_ (_ (_ tptp.subst_name @t60) @t91) @t90)) 0.54/1.03 (define @t643 () (@list @t35 @t60 @t18 @t91 @t90)) 0.54/1.03 (define @t644 () (_ (_ (_ tptp.subs @t63) @t91) @t90)) 0.54/1.03 (define @t645 () (@list @t18 @t63 @t91 @t90)) 0.54/1.03 (define @t646 () (_ tptp.late_transitions (_ @t198 (_ (_ @t50 @t16) @t18)))) 0.54/1.03 (define @t647 () (@var "FreeRes3" tptp.late_freeRes)) 0.54/1.03 (define @t648 () (@var "P" (-> tptp.late_freeRes Bool))) 0.54/1.03 (define @t649 () (@var "P" (-> tptp.late_subject Bool))) 0.54/1.03 (define @t650 () (@list @t174)) 0.54/1.03 (define @t651 () (@var "A2" tptp.name)) 0.54/1.03 (define @t652 () (@var "C4" tptp.name)) 0.54/1.03 (define @t653 () (@var "B" tptp.name)) 0.54/1.03 (define @t654 () (= @t651 @t653)) 0.54/1.03 (define @t655 () (lambda (@list @t651 @t653 @t652) (_ (_ (_ tptp.if_name @t654) @t652) @t651))) 0.54/1.03 (define @t656 () (lambda (@list @t651 @t653) (not @t654))) 0.54/1.03 (define @t657 () (@var "Rel2" tptp.set_Pr1834926343_pi_pi)) 0.54/1.03 (define @t658 () (@var "X3" tptp.name)) 0.54/1.03 (define @t659 () (@var "A2" tptp.late_subject)) 0.54/1.03 (define @t660 () (@var "Q6" tptp.pi)) 0.54/1.03 (define @t661 () (@var "P8" tptp.pi)) 0.54/1.03 (define @t662 () (_ (_ tptp.late_BoundR @t659) @t658)) 0.54/1.03 (define @t663 () (@var "P7" tptp.pi)) 0.54/1.03 (define @t664 () (_ tptp.late_transitions @t663)) 0.54/1.03 (define @t665 () (@list @t661)) 0.54/1.03 (define @t666 () (@var "Q5" tptp.pi)) 0.54/1.03 (define @t667 () (_ tptp.late_transitions @t666)) 0.54/1.03 (define @t668 () (@var "Alpha3" tptp.late_freeRes)) 0.54/1.03 (define @t669 () (_ tptp.late_FreeR @t668)) 0.54/1.03 (define @t670 () (lambda (@list @t663 @t657 @t666) (and (forall (@list @t668 @t660) (=> (_ @t667 (_ @t669 @t660)) (exists @t665 (and (_ @t664 (_ @t669 @t661)) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t661) @t660)) @t657))))) (forall (@list @t659 @t658 @t660) (=> (and (_ (_ tptp.fresh_name_pi @t658) @t663) (_ @t667 (_ @t662 @t660))) (exists @t665 (and (_ @t664 (_ @t662 @t661)) (_ (_ (_ (_ (_ tptp.strong2129052853vative @t661) @t660) @t659) @t658) @t657)))))))) 0.54/1.03 (define @t671 () (tptp.late_InputS @t103)) 0.54/1.03 (define @t672 () (tptp.fresh_717452603ubject @t35 @t671)) 0.54/1.03 (define @t673 () (not (= @t35 @t103))) 0.54/1.03 (define @t674 () (= @t262 @t673)) 0.54/1.03 (define @t675 () (not (= @t103 @t35))) 0.54/1.03 (define @t676 () (@list @t653)) 0.54/1.03 (define @t677 () (not (= @t35 @t653))) 0.54/1.03 (define @t678 () (lambda @t676 @t677)) 0.54/1.03 (define @t679 () (_ @t656 @t35)) 0.54/1.03 (define @t680 () (= @t262 (_ @t679 @t103))) 0.54/1.03 (define @t681 () (tptp.fresh_717452603ubject @t16 @t15)) 0.54/1.03 (define @t682 () (tptp.fresh_name_pi @t16 @t18)) 0.54/1.03 (define @t683 () (not @t20)) 0.54/1.03 (define @t684 () (tptp.late_BoundR @t15 @t23 @t22)) 0.54/1.03 (define @t685 () (tptp.late_transitions @t18 @t684)) 0.54/1.03 (define @t686 () (not @t28)) 0.54/1.03 (define @t687 () (or @t686 @t683 @t17)) 0.54/1.03 (define @t688 () (tptp.late_InputS tptp.x)) 0.54/1.03 (define @t689 () (_ tptp.late_InputS tptp.x)) 0.54/1.03 (define @t690 () (_ (_ (_ tptp.late_BoundR @t689) tptp.y) tptp.p2)) 0.54/1.03 (define @t691 () (tptp.late_BoundR @t688 tptp.y tptp.p2)) 0.54/1.03 (define @t692 () (tptp.late_transitions tptp.p @t691)) 0.54/1.03 (define @t693 () (tptp.fresh_name_pi tptp.x tptp.p)) 0.54/1.03 (define @t694 () (tptp.fresh_717452603ubject tptp.x @t688)) 0.54/1.03 (define @t695 () (not @t693)) 0.54/1.03 (define @t696 () (not @t692)) 0.54/1.03 (define @t697 () (or @t696 @t695 @t694)) 0.54/1.03 (define @t698 () (not (= tptp.x tptp.x))) 0.54/1.03 (define @t699 () (forall @t264 (= @t673 @t672))) 0.54/1.03 (define @t700 () (= @t698 @t694)) 0.54/1.03 (assume @p1 (forall @t9 (not (= @t8 @t4)))) 0.54/1.03 (assume @p2 (forall (@list @t13 @t11 @t12 @t10) (= (= (_ (_ tptp.produc1342893193ion_pi @t13) @t11) (_ (_ tptp.produc1342893193ion_pi @t12) @t10)) (and @t14 (= @t11 @t10))))) 0.54/1.03 (assume @p3 @t30) 0.54/1.03 (assume @p4 (forall (@list @t33) (exists (@list @t32 @t31) (= @t33 (_ (_ tptp.produc1505598906reeRes @t32) @t31))))) 0.54/1.03 (assume @p5 (forall @t45 (= (_ @t36 @t44) @t43))) 0.54/1.03 (assume @p6 (forall (@list @t46) (not (forall @t48 (not (_ (_ tptp.fresh_1641682979reeRes @t47) @t46)))))) 0.54/1.03 (assume @p7 (forall (@list @t35 @t23 @t18) @t53)) 0.54/1.03 (assume @p8 (forall (@list @t13 @t55 @t12 @t54) (= (= (_ (_ tptp.produc581368530ubject @t13) @t55) (_ (_ tptp.produc581368530ubject @t12) @t54)) (and @t14 (= @t55 @t54))))) 0.54/1.03 (assume @p9 (forall (@list @t35 @t46 @t16) (= (_ (_ tptp.fresh_2007541374s_name @t35) (_ (_ tptp.produc1701355766s_name @t46) @t16)) (and @t58 @t56)))) 0.54/1.03 (assume @p10 (forall @t79 (=> @t78 (=> @t77 (=> @t73 (=> @t72 (=> @t71 (=> @t70 (=> @t69 @t67))))))))) 0.54/1.03 (assume @p11 (forall (@list @t5 @t80 @t1) (not (= @t82 @t81)))) 0.54/1.03 (assume @p12 (forall @t89 (= (= @t88 (_ (_ tptp.sum @t83) @t86)) (and @t87 @t85)))) 0.54/1.03 (assume @p13 (forall (@list @t35 @t60 @t18 @t91 @t90 @t22) (=> (_ @t95 (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @t91) @t90)) @t22)) (not (or @t92 (not (= @t60 @t90))))))) 0.54/1.03 (assume @p14 (forall (@list @t97 @t96) (=> @t102 (_ @t97 @t96)))) 0.54/1.03 (assume @p15 (forall (@list @t35 @t103 @t84) (= (_ @t36 @t107) @t106))) 0.54/1.03 (assume @p16 (forall @t117 (=> @t116 (=> @t113 (=> @t112 @t111))))) 0.54/1.03 (assume @p17 (forall (@list @t120 @t35 @t18) (_ @t121 @t119))) 0.54/1.03 (assume @p18 (forall @t29 (=> @t28 (=> @t20 (=> @t123 @t122))))) 0.54/1.03 (assume @p19 (forall (@list @t120 @t63 @t18 @t146) (=> @t155 (=> (forall @t154 (=> @t153 (=> @t151 (=> @t150 (=> @t149 (=> (_ @t147 @t146) @t145)))))) @t136)))) 0.54/1.03 (assume @p20 (forall (@list @t157 @t156) (=> (forall (@list @t159) (= (_ @t157 @t159) (_ @t156 @t159))) (= @t158 (_ tptp.collec1051790738_pi_pi @t156))))) 0.54/1.03 (assume @p21 (forall (@list @t160 @t80) (not (= (_ tptp.late_InputS @t160) (_ tptp.late_BoundOutputS @t80))))) 0.54/1.03 (assume @p22 (forall (@list @t162 @t164 @t161 @t163) (= (= @t165 (_ (_ tptp.late_OutputR @t161) @t163)) (and (= @t164 @t163) (= @t162 @t161))))) 0.54/1.03 (assume @p23 (forall (@list @t168 @t167 @t166) (=> (forall (@list @t175 @t174 @t169 @t172) (=> @t179 (=> @t178 (_ @t173 @t176)))) (=> (forall (@list @t170 @t169 @t172) (_ @t173 @t171)) (_ (_ @t168 @t167) @t166))))) 0.54/1.03 (assume @p24 (forall (@list @t13 @t84 @t12 @t83) (= (= (_ (_ tptp.produc1820286517_pi_pi @t13) @t84) (_ (_ tptp.produc1820286517_pi_pi @t12) @t83)) (and @t14 @t85)))) 0.54/1.03 (assume @p25 (forall (@list @t97 @t180) (=> @t102 (_ @t97 @t180)))) 0.54/1.03 (assume @p26 (forall @t184 (=> (_ (_ tptp.late_transitions (_ @t64 @t182)) @t181) @t183))) 0.54/1.03 (assume @p27 (forall @t187 (=> @t78 (=> @t186 (=> @t20 @t185))))) 0.54/1.03 (assume @p28 (forall @t195 (=> @t194 (=> (=> @t192 (=> @t191 (_ @t189 @t35))) @t190)))) 0.54/1.03 (assume @p29 (forall @t45 (= (_ @t36 @t196) (and @t40 @t37 @t42)))) 0.54/1.03 (assume @p30 (forall (@list @t23 @t35 @t60 @t18 @t22) (not (_ @t199 @t197)))) 0.54/1.03 (assume @p31 (forall (@list @t80 @t1) (not (= tptp.piNil @t81)))) 0.54/1.03 (assume @p32 (forall @t205 (= @t204 (or @t201 @t200)))) 0.54/1.03 (assume @p33 (forall (@list @t35 @t60 @t18 @t206 @t23 @t22) (not (_ @t95 (_ (_ (_ tptp.late_BoundR @t206) @t23) @t22))))) 0.54/1.03 (assume @p34 (forall @t207 (_ @t36 tptp.piNil))) 0.54/1.03 (assume @p35 (forall @t212 (=> (forall @t211 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t210) @t209)) @t120)) (_ (_ (_ tptp.strong743114133lation @t208) @t120) @t18)))) 0.54/1.03 (assume @p36 (forall (@list @t213 @t157) (= (_ (_ tptp.member558706512_pi_pi @t213) @t158) (_ @t157 @t213)))) 0.54/1.03 (assume @p37 (forall @t218 (= (= @t217 (_ @t216 @t214)) (= @t215 @t214)))) 0.54/1.03 (assume @p38 (forall (@list @t120 @t63 @t23 @t18 @t230) (=> @t155 (=> @t244 (=> (forall @t236 (=> @t235 (=> @t234 (=> @t232 (=> (_ @t231 @t230) @t229))))) (=> (forall @t224 (=> @t134 (=> @t223 (exists @t133 (and @t221 @t129))))) @t219)))))) 0.54/1.03 (assume @p39 (forall @t246 (not (= @t245 @t81)))) 0.54/1.03 (assume @p40 (forall @t250 (not (= @t245 @t249)))) 0.54/1.03 (assume @p41 (forall @t253 (not (= @t252 @t251)))) 0.54/1.03 (assume @p42 (forall (@list @t63 @t255 @t59 @t18) (=> @t257 (_ @t66 (_ @t256 @t254))))) 0.54/1.03 (assume @p43 (_ (_ tptp.fresh_name_name tptp.y) tptp.x)) 0.54/1.03 (assume @p44 (forall (@list @t60 @t35 @t215) (= (_ (_ tptp.fresh_543891186ion_pi @t60) @t217) (or @t200 (_ @t258 @t215))))) 0.54/1.03 (assume @p45 @t265) 0.54/1.03 (assume @p46 (forall @t9 (not (= @t252 @t4)))) 0.54/1.03 (assume @p47 (forall @t9 (not (= @t8 @t266)))) 0.54/1.03 (assume @p48 (forall (@list @t35 @t23 @t18 @t255 @t22) (not (_ @t52 @t267)))) 0.54/1.03 (assume @p49 (forall (@list @t18 @t63 @t181) (=> @t270 (=> (not @t192) @t268)))) 0.54/1.03 (assume @p50 (forall (@list @t272 @t271) (=> @t276 (_ @t272 @t271)))) 0.54/1.03 (assume @p51 (forall (@list @t23 @t18 @t255 @t22) (=> (_ @t289 @t267) (not (forall @t288 (=> @t287 (=> (= @t267 @t284) @t281))))))) 0.54/1.03 (assume @p52 (forall @t290 (= (_ (_ (_ tptp.if_name true) @t23) @t16) @t23))) 0.54/1.03 (assume @p53 (forall (@list @t13 @t292 @t12 @t291) (= (= (_ (_ tptp.produc1505598906reeRes @t13) @t292) (_ (_ tptp.produc1505598906reeRes @t12) @t291)) (and @t14 @t293)))) 0.54/1.03 (assume @p54 (forall (@list @t295 @t294 @t166) (=> (forall (@list @t175 @t174 @t169 @t296) (=> @t298 (=> @t178 (_ @t297 @t176)))) (=> (forall (@list @t170 @t169 @t296) (_ @t297 @t171)) (_ (_ @t295 @t294) @t166))))) 0.54/1.03 (assume @p55 (forall @t305 (=> @t304 (not (=> @t303 (not @t300)))))) 0.54/1.03 (assume @p56 (forall @t307 (not (= @t82 @t306)))) 0.54/1.03 (assume @p57 (forall (@list @t35 @t18 @t91 @t60) (=> @t310 (=> @t92 (_ @t36 @t309))))) 0.54/1.03 (assume @p58 (_ (_ tptp.fresh_1641682979reeRes tptp.x) tptp.alpha)) 0.54/1.03 (assume @p59 (forall (@list @t23 @t16 @t18 @t181) (not (_ (_ tptp.late_transitions (_ @t198 (_ (_ (_ tptp.input @t23) @t16) @t18))) @t181)))) 0.54/1.03 (assume @p60 (forall (@list @t312 @t160 @t5 @t311 @t1) (not (= (_ (_ (_ tptp.late_BoundR @t312) @t160) @t5) (_ (_ tptp.late_FreeR @t311) @t1))))) 0.54/1.03 (assume @p61 @t313) 0.54/1.03 (assume @p62 (forall @t187 (=> @t78 (=> @t186 (=> @t73 (=> @t72 (=> @t20 (=> @t112 (=> @t71 (=> @t69 (=> @t316 (=> @t122 (=> @t315 @t185))))))))))))) 0.54/1.03 (assume @p63 (forall (@list @t18 @t181 @t63) (=> @t192 @t270))) 0.54/1.03 (assume @p64 (forall (@list @t272 @t317) (=> @t276 (_ @t272 @t317)))) 0.54/1.03 (assume @p65 (forall @t323 (=> @t322 (not (=> @t303 @t321))))) 0.54/1.03 (assume @p66 (forall (@list @t35 @t18 @t181) (not (_ (_ tptp.late_transitions @t119) @t181)))) 0.54/1.03 (assume @p67 (forall (@list @t325 @t324 @t5) (=> (forall (@list @t327) (_ @t328 tptp.piNil)) (=> (forall @t346 (=> @t332 (_ @t328 @t352))) (=> (forall @t333 (=> @t332 (_ @t328 @t351))) (=> (forall @t346 (=> (_ (_ tptp.fresh_1641682979reeRes @t343) @t327) (=> @t350 (=> @t332 (_ @t328 @t348))))) (=> (forall @t346 (=> @t332 (_ @t328 @t347))) (=> (forall @t346 (=> @t332 (_ @t328 @t345))) (=> (forall @t341 (=> @t340 (=> @t339 (_ @t328 @t342)))) (=> (forall @t341 (=> @t340 (=> @t339 (_ @t328 @t338)))) (=> (forall (@list @t174 @t169 @t327) (=> @t335 (=> @t332 (_ @t328 @t334)))) (=> (forall @t333 (=> @t332 (_ @t328 @t326))) (_ (_ @t325 @t324) @t5))))))))))))) 0.54/1.03 (assume @p68 (forall @t357 (= (= @t356 (_ @t355 @t353)) (= @t354 @t353)))) 0.54/1.03 (assume @p69 (forall (@list @t360) (not (forall @t361 (not (= @t360 @t359)))))) 0.54/1.03 (assume @p70 (forall @t363 (=> (_ (_ tptp.late_transitions (_ (_ @t50 @t60) @t18)) @t181) (not (forall (@list @t137 @t237 @t279) (=> (and (= (_ (_ tptp.abs_fun_name_pi @t60) @t18) (_ (_ tptp.abs_fun_name_pi @t137) @t279)) @t362) (=> (= @t181 (_ (_ (_ tptp.late_BoundR (_ tptp.late_InputS @t237)) @t137) @t279)) (= @t137 @t237)))))))) 0.54/1.03 (assume @p71 (forall (@list @t63 @t181 @t18) (=> @t268 @t270))) 0.54/1.03 (assume @p72 (forall @t366 (= @t365 (or @t200 @t364)))) 0.54/1.03 (assume @p73 (forall (@list @t23 @t35 @t60 @t18 @t91 @t16 @t22) (not (_ @t199 (_ (_ (_ tptp.late_BoundR (_ tptp.late_InputS @t91)) @t16) @t22))))) 0.54/1.03 (assume @p74 (forall (@list @t18 @t15 @t23 @t22) (not (_ @t368 @t26)))) 0.54/1.03 (assume @p75 (forall (@list @t370 @t369) (=> @t371 (_ @t370 @t369)))) 0.54/1.03 (assume @p76 (not (= tptp.y tptp.z))) 0.54/1.03 (assume @p77 (forall (@list @t372) (not (forall @t275 (not (= @t372 @t274)))))) 0.54/1.03 (assume @p78 (forall @t376 (= (= @t375 (_ @t374 @t373)) (= @t46 @t373)))) 0.54/1.03 (assume @p79 (forall @t382 (= (= @t196 (_ (_ (_ tptp.output @t379) @t377) @t86)) @t381))) 0.54/1.03 (assume @p80 (forall (@list @t384 @t383) (=> @t388 (_ @t384 @t383)))) 0.54/1.03 (assume @p81 (forall @t307 (not (= @t82 @t4)))) 0.54/1.03 (assume @p82 (forall @t89 (= (= @t390 (_ (_ tptp.par @t83) @t86)) @t389))) 0.54/1.03 (assume @p83 (forall (@list @t18 @t120) (_ @t124 tptp.piNil))) 0.54/1.03 (assume @p84 (forall @t391 (not (= tptp.piNil @t4)))) 0.54/1.03 (assume @p85 (forall (@list @t60 @t35 @t46) (= (_ (_ tptp.fresh_785364841reeRes @t60) @t375) (or (_ @t392 @t46) @t200)))) 0.54/1.03 (assume @p86 (forall (@list @t393) (or (= @t393 false) (= @t393 true)))) 0.54/1.03 (assume @p87 (forall @t397 (=> @t396 (_ @t36 @t395)))) 0.54/1.03 (assume @p88 (forall @t399 (= (_ @t36 @t390) (and @t37 @t398)))) 0.54/1.03 (assume @p89 (forall (@list @t18 @t181 @t60) (=> @t192 (_ (_ tptp.late_transitions (_ (_ (_ tptp.match @t60) @t60) @t18)) @t181)))) 0.54/1.03 (assume @p90 (forall @t391 (not (= tptp.piNil (_ (_ (_ tptp.output @t3) @t2) @t1))))) 0.54/1.03 (assume @p91 (forall @t184 (=> (_ @t368 @t181) (not (forall @t400 (=> (= @t367 (_ tptp.tau @t279)) (not (= @t181 (_ @t62 @t279))))))))) 0.54/1.03 (assume @p92 (forall (@list @t18 @t63 @t405 @t16 @t22) (=> (_ @t66 @t406) (=> (forall (@list @t279 @t138 @t137 @t278 @t209) (=> @t407 (=> (= @t406 (_ @t140 (_ @t409 @t209))) (=> @t408 @t403)))) (not (forall (@list @t209 @t138 @t137 @t130 @t279) (=> @t407 (=> (= @t406 (_ @t140 (_ @t404 @t130))) (=> (_ (_ tptp.late_transitions @t209) @t152) @t403))))))))) 0.54/1.03 (assume @p93 (forall (@list @t1) (not (= tptp.piNil @t410)))) 0.54/1.03 (assume @p94 (forall (@list @t23 @t18 @t35 @t60 @t22) (not (_ @t412 @t411)))) 0.54/1.03 (assume @p95 (forall @t417 (=> @t416 (not (=> @t303 (not @t415)))))) 0.54/1.03 (assume @p96 (forall @t250 (not (= @t252 @t249)))) 0.54/1.03 (assume @p97 (forall (@list @t23) (not (forall @t48 (not (_ (_ tptp.fresh_name_name @t47) @t23)))))) 0.54/1.03 (assume @p98 (forall @t253 (not (= @t252 @t410)))) 0.54/1.03 (assume @p99 (forall (@list @t16 @t419 @t418) (=> @t423 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t422) (_ @t110 @t421))) tptp.rel)))) 0.54/1.03 (assume @p100 (forall @t250 (not (= @t252 @t424)))) 0.54/1.03 (assume @p101 (_ (_ tptp.late_transitions (_ (_ tptp.res tptp.x) @t426)) (_ @t425 tptp.xPQ))) 0.54/1.03 (assume @p102 (forall (@list @t157 @t427) (=> @t431 (_ @t157 @t427)))) 0.54/1.03 (assume @p103 (forall @t363 (=> (_ @t95 @t181) (not (forall (@list @t237 @t98 @t279) (=> @t434 (not (= @t181 (_ @t432 @t279))))))))) 0.54/1.03 (assume @p104 (forall (@list @t23 @t18 @t255 @t435 @t436) (=> (_ @t289 (_ @t256 @t435)) (=> (forall @t438 (=> @t437 (=> (_ @t222 @t255) (_ @t436 (_ @t198 @t278))))) (_ @t436 @t435))))) 0.54/1.03 (assume @p105 (not (= tptp.z tptp.aa))) 0.54/1.03 (assume @p106 (forall (@list @t23 @t60 @t18 @t181) (not (_ (_ tptp.late_transitions (_ @t198 (_ (_ (_ tptp.output @t23) @t60) @t18))) @t181)))) 0.54/1.03 (assume @p107 (forall @t442 (=> @t441 (=> @t113 (=> @t73 (=> @t72 (=> @t71 (=> @t70 (=> @t440 @t439))))))))) 0.54/1.03 (assume @p108 (forall (@list @t373) (=> (forall (@list @t444 @t443) (not (= @t373 (_ (_ tptp.late_OutputR @t444) @t443)))) (= @t373 tptp.late_TauR)))) 0.54/1.03 (assume @p109 (_ @t445 tptp.q)) 0.54/1.03 (assume @p110 (forall @t449 (not (= @t448 @t251)))) 0.54/1.03 (assume @p111 (forall (@list @t13 @t38 @t12 @t377) (= (= (_ (_ tptp.produc540578151i_name @t13) @t38) (_ (_ tptp.produc540578151i_name @t12) @t377)) (and @t378 @t14)))) 0.54/1.03 (assume @p112 (forall (@list @t35 @t60 @t18 @t255 @t22 @t450) (=> @t453 (=> (=> (= @t255 @t74) (=> @t452 (_ (_ @t450 @t74) @t18))) @t451)))) 0.54/1.03 (assume @p113 (forall @t456 (=> @t455 @t56))) 0.54/1.03 (assume @p114 (forall @t458 (not (= @t457 @t81)))) 0.54/1.03 (assume @p115 (forall (@list @t317) (exists (@list @t32 @t459) (= @t317 (_ (_ tptp.produc1342893193ion_pi @t32) @t459))))) 0.54/1.03 (assume @p116 (forall @t391 (not (= tptp.piNil @t306)))) 0.54/1.03 (assume @p117 (forall (@list @t35 @t23 @t16) (= (= @t203 (_ @t202 @t16)) @t314))) 0.54/1.03 (assume @p118 (forall (@list @t103 @t38) (not (= @t260 @t460)))) 0.54/1.03 (assume @p119 (forall @t463 (=> @t462 @t461))) 0.54/1.03 (assume @p120 (forall @t467 (= (= @t466 (_ tptp.late_BoundOutputS @t464)) @t465))) 0.54/1.03 (assume @p121 (forall (@list @t35 @t38 @t103) (= (_ @t57 @t468) (and @t40 @t259)))) 0.54/1.03 (assume @p122 (forall (@list @t16 @t419 @t469 @t418) (=> @t423 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t470 @t422)) (_ @t110 (_ @t470 @t421)))) tptp.rel)))) 0.54/1.03 (assume @p123 (forall (@list @t473) (exists (@list @t472 @t471) (= @t473 (_ (_ tptp.product_Pair_pi_pi @t472) @t471))))) 0.54/1.03 (assume @p124 (forall (@list @t18 @t181 @t35 @t60) (=> @t192 (=> @t396 @t475)))) 0.54/1.03 (assume @p125 (forall @t477 (=> @t441 (=> @t396 (_ (_ tptp.late_transitions (_ @t476 @t18)) (_ (_ @t114 @t60) @t22)))))) 0.54/1.03 (assume @p126 (forall (@list @t120 @t18 @t63 @t419) (=> (forall (@list @t482 @t480 @t479) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t488) @t484)) @t120)) (=> (forall (@list @t482 @t480 @t137) (=> (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t482) @t480)) @t120) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t489) (_ @t485 @t480))) @t120))) (=> (forall @t487 (=> (_ @t147 @t482) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t485 @t488)) (_ @t483 (_ @t485 @t481)))) @t120))) (=> (forall @t487 (=> (_ @t147 @t479) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ (_ tptp.par (_ @t485 @t486)) @t479)) (_ @t485 @t484))) @t120))) (_ (_ (_ tptp.strong743114133lation (_ (_ tptp.par @t65) @t419)) @t120) (_ @t64 (_ @t478 @t419))))))))) 0.54/1.03 (assume @p127 (forall @t357 (= (_ (_ tptp.fresh_495373993ubject @t35) (_ (_ tptp.produc1465345179ubject @t354) @t353)) (and @t491 @t490)))) 0.54/1.03 (assume @p128 (forall (@list @t492) (not (forall @t430 (not (= @t492 @t429)))))) 0.54/1.03 (assume @p129 (forall (@list @t41 @t103 @t84 @t379 @t464 @t83) (= (= @t494 (_ (_ (_ tptp.input @t379) @t464) @t83)) (and @t380 @t493)))) 0.54/1.03 (assume @p130 (forall (@list @t18 @t255 @t22 @t450) (=> (_ @t368 @t267) (=> (=> (= @t255 tptp.late_TauR) (=> @t452 (_ (_ @t450 tptp.late_TauR) @t18))) @t451)))) 0.54/1.03 (assume @p131 (forall @t246 (not (= @t252 @t81)))) 0.54/1.03 (assume @p132 (forall (@list @t120 @t63 @t23 @t18 @t497) (=> @t155 (=> @t498 (=> (forall @t236 (=> @t235 (=> @t234 (=> @t232 (=> (_ (_ tptp.fresh_name_name @t225) @t497) @t496))))) @t495))))) 0.54/1.03 (assume @p133 (not (not @t499))) 0.54/1.03 (assume @p134 (forall @t504 (= @t503 (and @t320 @t502)))) 0.54/1.03 (assume @p135 (forall (@list @t160 @t5 @t1) (not (= (_ (_ tptp.res @t160) @t5) @t251)))) 0.54/1.03 (assume @p136 (forall (@list @t120 @t18 @t63) (=> (forall (@list @t505 @t482) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ (_ tptp.par @t505) @t482)) (_ @t483 @t505))) @t120)) (=> (forall (@list @t505 @t482 @t137) (=> (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t505) @t482)) @t120) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t485 @t505)) @t489)) @t120))) (_ (_ (_ tptp.strong743114133lation @t65) @t120) (_ @t478 @t18)))))) 0.54/1.03 (assume @p137 (_ (_ tptp.late_transitions @t426) (_ @t425 tptp.pq))) 0.54/1.03 (assume @p138 (forall @t117 (=> @t116 (=> @t113 (=> @t73 (=> @t72 (=> @t20 (=> @t112 (=> @t71 (=> @t440 (=> @t316 (=> (_ @t19 @t59) (=> @t315 @t111))))))))))))) 0.54/1.03 (assume @p139 (forall @t507 (= (= @t506 (_ tptp.bang @t86)) @t87))) 0.54/1.03 (assume @p140 (forall (@list @t508 @t294 @t5) (=> (forall (@list @t296) (_ @t509 tptp.piNil)) (=> (forall @t518 (=> @t513 (_ @t509 @t352))) (=> (forall @t514 (=> @t513 (_ @t509 @t351))) (=> (forall @t518 (=> (_ (_ tptp.fresh_717452603ubject @t343) @t296) (=> @t350 (=> @t513 (_ @t509 @t348))))) (=> (forall @t518 (=> @t513 (_ @t509 @t347))) (=> (forall @t518 (=> @t513 (_ @t509 @t345))) (=> (forall @t517 (=> @t516 (=> @t515 (_ @t509 @t342)))) (=> (forall @t517 (=> @t516 (=> @t515 (_ @t509 @t338)))) (=> (forall (@list @t174 @t169 @t296) (=> @t298 (=> @t513 (_ @t509 @t334)))) (=> (forall @t514 (=> @t513 (_ @t509 @t326))) (_ (_ @t508 @t294) @t5))))))))))))) 0.54/1.03 (assume @p141 (forall @t520 (=> @t519 @t461))) 0.54/1.03 (assume @p142 (forall (@list @t63 @t18 @t120) (=> (forall (@list @t138 @t225 @t130) (=> @t235 (=> (_ @t521 @t18) (exists @t133 (and (_ (_ @t143 @t225) @t120) @t227))))) @t136))) 0.54/1.03 (assume @p143 (forall @t29 (=> @t28 (=> @t17 (=> @t123 @t524))))) 0.54/1.03 (assume @p144 (forall (@list @t526 @t103 @t84 @t525 @t464 @t83) (= (= @t527 (_ (_ (_ tptp.late_BoundR @t525) @t464) @t83)) (and (= @t526 @t525) @t493)))) 0.54/1.03 (assume @p145 (forall @t79 (=> @t78 (=> @t77 @t67)))) 0.54/1.03 (assume @p146 (forall @t307 (not (= @t82 @t266)))) 0.54/1.03 (assume @p147 (forall (@list @t35 @t23 @t373) (= (_ (_ tptp.fresh_1963366730reeRes @t35) (_ (_ tptp.produc1531804426reeRes @t23) @t373)) (and @t529 @t528)))) 0.54/1.03 (assume @p148 (forall (@list @t35 @t46 @t214) (= (_ (_ tptp.fresh_1847501388Res_pi @t35) (_ (_ tptp.produc1177552196Res_pi @t46) @t214)) (and @t58 @t530)))) 0.54/1.03 (assume @p149 (forall @t250 (not (= @t8 @t424)))) 0.54/1.03 (assume @p150 (forall (@list @t215) (not (forall @t48 (not (_ (_ tptp.fresh_name_pi @t47) @t215)))))) 0.54/1.03 (assume @p151 (forall (@list @t120 @t63 @t18 @t497) (=> @t155 (=> (forall @t154 (=> @t153 (=> @t151 (=> @t150 (=> @t149 (=> (_ (_ tptp.fresh_name_name @t137) @t497) @t531)))))) @t136)))) 0.54/1.03 (assume @p152 (forall @t366 (= @t365 (or @t364 @t200)))) 0.54/1.03 (assume @p153 (forall (@list @t35 @t60 @t18 @t22) (not (_ @t95 @t197)))) 0.54/1.03 (assume @p154 (forall (@list @t35 @t60 @t120 @t18) (=> @t396 (_ @t121 @t193)))) 0.54/1.03 (assume @p155 (forall @t264 (= (_ @t261 @t466) @t259))) 0.54/1.03 (assume @p156 (forall (@list @t7 @t6) (not (= (_ (_ tptp.late_OutputR @t7) @t6) tptp.late_TauR)))) 0.54/1.03 (assume @p157 (forall @t246 (not (= @t532 @t81)))) 0.54/1.03 (assume @p158 (forall (@list @t120 @t35 @t60 @t18) (not (_ @t121 @t94)))) 0.54/1.03 (assume @p159 (forall (@list @t534 @t533) (=> @t538 (_ @t534 @t533)))) 0.54/1.03 (assume @p160 (forall @t218 (=> @t539 (_ @t36 @t215)))) 0.54/1.03 (assume @p161 (_ @t540 (_ (_ (_ tptp.late_BoundR (_ tptp.late_InputS tptp.aa)) tptp.y) tptp.p2))) 0.54/1.03 (assume @p162 (forall @t544 (=> @t28 (=> @t73 (=> @t72 (=> @t543 @t542)))))) 0.54/1.03 (assume @p163 (_ @t545 tptp.q)) 0.54/1.03 (assume @p164 (forall (@list @t35 @t354 @t16) (= (_ (_ tptp.fresh_1953561446t_name @t35) (_ (_ tptp.produc1647375838t_name @t354) @t16)) (and @t491 @t56)))) 0.54/1.03 (assume @p165 (forall (@list @t120 @t63 @t23 @t18 @t546) (=> @t155 (=> @t498 (=> (forall @t236 (=> @t235 (=> @t234 (=> @t232 (=> (_ @t277 @t546) @t496))))) @t495))))) 0.54/1.03 (assume @p166 (forall (@list @t35 @t292 @t34) (= (_ @t548 @t547) (and @t37 (_ @t57 @t292))))) 0.54/1.03 (assume @p167 (forall (@list @t384 @t549) (=> @t388 (_ @t384 @t549)))) 0.54/1.03 (assume @p168 (forall (@list @t18) (_ @t368 (_ @t62 @t18)))) 0.54/1.03 (assume @p169 (forall @t417 (= @t416 (and @t415 @t303)))) 0.54/1.03 (assume @p170 (forall (@list @t162 @t164) (not (= @t165 tptp.late_TauR)))) 0.54/1.03 (assume @p171 (forall (@list @t534 @t33) (=> @t538 (_ @t534 @t33)))) 0.54/1.03 (assume @p172 (forall @t397 (_ @t95 (_ @t75 @t18)))) 0.54/1.03 (assume @p173 (forall @t551 (=> @t550 (=> @t20 @t122)))) 0.54/1.03 (assume @p174 (_ (_ tptp.late_transitions tptp.q) (_ (_ (_ tptp.late_BoundR (_ tptp.late_BoundOutputS tptp.aa)) tptp.z) tptp.q2))) 0.54/1.03 (assume @p175 (forall @t504 (=> @t503 (not (=> @t502 @t321))))) 0.54/1.03 (assume @p176 (forall @t553 (= (_ @t36 @t552) @t37))) 0.54/1.03 (assume @p177 (forall (@list @t120 @t35 @t23 @t18) (not (_ @t121 @t51)))) 0.54/1.03 (assume @p178 (forall (@list @t120 @t63 @t23 @t18 @t146) (=> @t155 (=> @t244 (=> (forall @t236 (=> @t235 (=> @t234 (=> @t232 (=> (_ @t521 @t146) @t229))))) @t495))))) 0.54/1.03 (assume @p179 (forall @t556 (=> @t555 (_ @t105 @t554)))) 0.54/1.03 (assume @p180 (forall @t551 (=> @t550 (=> @t20 @t557)))) 0.54/1.03 (assume @p181 (forall (@list @t35 @t41 @t103 @t84) (= (_ @t36 @t494) (and @t42 @t106)))) 0.54/1.03 (assume @p182 (forall @t205 (= @t204 (or @t200 @t201)))) 0.54/1.03 (assume @p183 (forall @t9 (not (= @t245 @t266)))) 0.54/1.03 (assume @p184 (_ @t545 tptp.p)) 0.54/1.03 (assume @p185 (forall @t556 (=> @t555 @t461))) 0.54/1.03 (assume @p186 (_ @t445 tptp.p)) 0.54/1.03 (assume @p187 (forall (@list @t447 @t446 @t248 @t247) (not (= @t448 @t249)))) 0.54/1.03 (assume @p188 (forall @t561 (=> @t560 (= @t559 @t558)))) 0.54/1.03 (assume @p189 (forall @t544 (=> @t28 (=> @t72 @t542)))) 0.54/1.03 (assume @p190 (forall (@list @t562) (not (forall @t101 (not (= @t562 @t100)))))) 0.54/1.03 (assume @p191 (forall @t563 (not (= @t82 @t249)))) 0.54/1.03 (assume @p192 (forall @t218 (=> @t539 @t530))) 0.54/1.03 (assume @p193 (not (= tptp.y tptp.aa))) 0.54/1.03 (assume @p194 (forall (@list @t23 @t91 @t90 @t18) (=> @t566 (=> @t565 (= (_ (_ (_ tptp.subs @t286) @t91) @t90) (_ @t198 @t564)))))) 0.54/1.03 (assume @p195 (forall (@list @t35 @t23 @t18 @t60 @t16 @t22) (not (_ @t52 (_ (_ @t567 @t16) @t22))))) 0.54/1.03 (assume @p196 (forall (@list @t120 @t63 @t18 @t230) (=> @t155 (=> (forall @t154 (=> @t153 (=> @t151 (=> @t150 (=> @t149 (=> (_ @t148 @t230) @t145)))))) @t568)))) 0.54/1.03 (assume @p197 (forall @t9 (not (= @t252 @t306)))) 0.54/1.03 (assume @p198 (forall @t463 (=> @t462 @t490))) 0.54/1.03 (assume @p199 (forall (@list @t23 @t18 @t181) (=> (_ @t289 @t181) (=> (forall @t576 (=> (= @t286 @t575) (forall @t438 (=> (= @t181 @t574) @t573)))) (=> (forall @t571 (=> @t287 (=> (= @t181 @t570) @t569))) (not (forall @t288 (=> @t287 (=> (= @t181 @t284) @t281))))))))) 0.54/1.03 (assume @p200 (forall @t29 (=> @t28 (=> @t17 (=> @t123 (=> @t73 (=> @t543 @t524))))))) 0.54/1.03 (assume @p201 (forall (@list @t577) (not (forall @t537 (not (= @t577 @t536)))))) 0.54/1.03 (assume @p202 (forall @t553 (= (_ @t36 @t506) @t37))) 0.54/1.03 (assume @p203 (forall @t184 (=> @t183 (not (forall @t400 (=> (= @t182 @t578) (not (_ (_ tptp.late_transitions (_ @t404 @t578)) @t181)))))))) 0.54/1.03 (assume @p204 (forall (@list @t18 @t63 @t15 @t23 @t579 @t580) (=> (_ @t66 (_ @t25 @t579)) (=> @t73 (=> @t72 (=> (forall @t438 (=> @t581 (_ @t580 (_ @t409 @t63)))) (=> (forall (@list @t130) (=> (_ @t76 (_ @t25 @t130)) (_ @t580 (_ @t64 @t130)))) (_ @t580 @t579)))))))) 0.54/1.03 (assume @p205 (forall @t363 (=> @t194 (not (forall @t400 (=> (and @t433 @t200) (not @t582))))))) 0.54/1.03 (assume @p206 (forall (@list @t23 @t35 @t18) (=> @t71 @t53))) 0.54/1.03 (assume @p207 (forall @t442 (=> @t441 (=> @t113 @t439)))) 0.54/1.03 (assume @p208 (forall @t246 (not (= @t8 @t81)))) 0.54/1.03 (assume @p209 (forall (@list @t583 @t469 @t5) (=> (forall (@list @t584) (_ @t585 tptp.piNil)) (=> (forall @t595 (=> @t589 (_ @t585 @t352))) (=> (forall @t590 (=> @t589 (_ @t585 @t351))) (=> (forall @t595 (=> (_ @t349 @t584) (=> @t350 (=> @t589 (_ @t585 @t348))))) (=> (forall @t595 (=> @t589 (_ @t585 @t347))) (=> (forall @t595 (=> @t589 (_ @t585 @t345))) (=> (forall @t594 (=> @t593 (=> @t592 (_ @t585 @t342)))) (=> (forall @t594 (=> @t593 (=> @t592 (_ @t585 @t338)))) (=> (forall (@list @t174 @t169 @t584) (=> @t591 (=> @t589 (_ @t585 @t334)))) (=> (forall @t590 (=> @t589 (_ @t585 @t326))) (_ (_ @t583 @t469) @t5))))))))))))) 0.54/1.03 (assume @p210 (forall (@list @t248 @t247) (not (= tptp.piNil @t249)))) 0.54/1.03 (assume @p211 (forall (@list @t60 @t18 @t35 @t91) (=> @t560 (= (_ (_ (_ tptp.subs @t395) @t60) @t91) (_ @t394 @t91))))) 0.54/1.03 (assume @p212 (forall (@list @t383) (exists (@list @t32 @t471) (= @t383 (_ (_ tptp.produc1820286517_pi_pi @t32) @t471))))) 0.54/1.03 (assume @p213 (forall @t195 (=> @t475 (=> (=> @t192 (=> @t396 @t190)) @t190)))) 0.54/1.03 (assume @p214 (forall (@list @t35 @t18 @t60) (=> @t310 (= @t395 @t18)))) 0.54/1.03 (assume @p215 (forall (@list @t596) (not (forall @t387 (not (= @t596 @t386)))))) 0.54/1.03 (assume @p216 (forall @t551 (=> @t550 (=> @t557 (_ @t523 (_ @t256 @t522)))))) 0.54/1.03 (assume @p217 (forall @t250 (not (= @t8 @t249)))) 0.54/1.03 (assume @p218 (forall @t456 (=> @t455 @t461))) 0.54/1.03 (assume @p219 (forall (@list @t597 @t469 @t166) (=> (forall (@list @t175 @t174 @t169 @t584) (=> @t591 (=> @t178 (_ @t598 @t176)))) (=> (forall (@list @t170 @t169 @t584) (_ @t598 @t171)) (_ (_ @t597 @t469) @t166))))) 0.54/1.03 (assume @p220 (forall @t603 (=> @t602 (not (=> @t303 (not @t601)))))) 0.54/1.03 (assume @p221 (forall (@list @t120 @t63 @t18 @t546) (=> @t155 (=> (forall @t154 (=> @t153 (=> @t151 (=> @t150 (=> @t149 (=> (_ (_ tptp.fresh_1641682979reeRes @t137) @t546) @t531)))))) @t568)))) 0.54/1.03 (assume @p222 (forall (@list @t354) (not (forall @t48 (not (_ (_ tptp.fresh_717452603ubject @t47) @t354)))))) 0.54/1.03 (assume @p223 (forall (@list @t369) (exists (@list @t32 @t604) (= @t369 (_ (_ tptp.produc581368530ubject @t32) @t604))))) 0.54/1.03 (assume @p224 (forall (@list @t605 @t167 @t5) (=> (forall (@list @t172) (_ @t606 tptp.piNil)) (=> (forall @t615 (=> @t610 (_ @t606 @t352))) (=> (forall @t611 (=> @t610 (_ @t606 @t351))) (=> (forall @t615 (=> (_ (_ tptp.fresh_name_pi @t343) @t172) (=> @t350 (=> @t610 (_ @t606 @t348))))) (=> (forall @t615 (=> @t610 (_ @t606 @t347))) (=> (forall @t615 (=> @t610 (_ @t606 @t345))) (=> (forall @t614 (=> @t613 (=> @t612 (_ @t606 @t342)))) (=> (forall @t614 (=> @t613 (=> @t612 (_ @t606 @t338)))) (=> (forall (@list @t174 @t169 @t172) (=> @t179 (=> @t610 (_ @t606 @t334)))) (=> (forall @t611 (=> @t610 (_ @t606 @t326))) (_ (_ @t605 @t167) @t5))))))))))))) 0.54/1.03 (assume @p225 (forall @t382 (= (= @t616 (_ (_ (_ tptp.match @t379) @t377) @t86)) (and @t378 @t87 @t380)))) 0.54/1.03 (assume @p226 (forall @t290 (= (_ (_ (_ tptp.if_name false) @t23) @t16) @t16))) 0.54/1.03 (assume @p227 (forall (@list @t18 @t120 @t63 @t15 @t23 @t59) (=> @t125 (=> @t617 (=> @t73 (exists @t438 (and @t581 (_ (_ (_ (_ (_ tptp.strong2129052853vative @t278) @t59) @t15) @t23) @t120)))))))) 0.54/1.03 (assume @p228 (forall @t563 (not (= @t82 @t424)))) 0.54/1.03 (assume @p229 (forall (@list @t618) (= (_ tptp.collec1051790738_pi_pi (lambda (@list @t619) (_ (_ tptp.member558706512_pi_pi @t619) @t618))) @t618))) 0.54/1.03 (assume @p230 (forall (@list @t35 @t354 @t373) (= (_ (_ tptp.fresh_1638563217reeRes @t35) (_ (_ tptp.produc242091907reeRes @t354) @t373)) (and @t529 @t491)))) 0.54/1.03 (assume @p231 (forall (@list @t35 @t526 @t103 @t84) (= (_ @t548 @t527) (and (_ @t261 @t526) @t106)))) 0.54/1.03 (assume @p232 (forall @t253 (not (= @t245 @t251)))) 0.54/1.03 (assume @p233 (forall @t623 (= @t622 (and @t621 @t303)))) 0.54/1.03 (assume @p234 (forall (@list @t23 @t35 @t18 @t60 @t16 @t22) (not (_ (_ tptp.late_transitions (_ @t198 (_ (_ @t93 @t23) @t18))) (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @t60) @t16)) @t22))))) 0.54/1.03 (assume @p235 (forall (@list @t18 @t35) (= (_ @t394 @t35) @t18))) 0.54/1.03 (assume @p236 (forall @t623 (=> @t622 (not (=> @t303 (not @t621)))))) 0.54/1.03 (assume @p237 (forall @t625 (=> @t624 @t530))) 0.54/1.03 (assume @p238 (forall (@list @t35 @t23 @t18 @t405 @t16 @t22) (=> (_ @t52 @t406) (not (_ @t261 @t405))))) 0.54/1.03 (assume @p239 (forall (@list @t353) (=> (forall (@list @t627) (not (= @t353 (_ tptp.late_InputS @t627)))) (not (forall (@list @t626) (not (= @t353 (_ tptp.late_BoundOutputS @t626)))))))) 0.54/1.03 (assume @p240 (forall (@list @t628 @t166) (=> (forall (@list @t175 @t174 @t169) (_ @t628 @t176)) (=> (forall (@list @t170 @t169) (_ @t628 @t171)) (_ @t628 @t166))))) 0.54/1.03 (assume @p241 (forall (@list @t23 @t35 @t91 @t90 @t18) (=> @t71 (=> @t566 (=> @t565 (= (_ (_ @t631 @t91) @t90) (_ (_ (_ tptp.input @t630) @t23) @t564))))))) 0.54/1.03 (assume @p242 (forall (@list @t157 @t473) (=> @t431 (_ @t157 @t473)))) 0.54/1.03 (assume @p243 (forall @t363 (=> @t475 (not (forall @t576 (=> @t434 (=> @t582 @t572))))))) 0.54/1.03 (assume @p244 (forall (@list @t96) (exists (@list @t32 @t225) (= @t96 (_ (_ tptp.produc540578151i_name @t32) @t225))))) 0.54/1.03 (assume @p245 (forall (@list @t23 @t18 @t15 @t16 @t22) (not (_ @t412 (_ (_ @t24 @t16) @t22))))) 0.54/1.03 (assume @p246 (forall (@list @t370 @t632) (=> @t371 (_ @t370 @t632)))) 0.54/1.03 (assume @p247 (forall (@list @t635 @t18 @t15 @t633 @t22) (=> (_ (_ tptp.late_transitions @t636) @t634) (=> (forall @t576 (=> (= @t636 @t575) (forall @t438 (=> (= @t634 @t574) @t573)))) (not (forall @t571 (=> (= @t636 @t285) (=> (= @t634 @t570) @t569)))))))) 0.54/1.03 (assume @p248 (forall @t207 (_ @t57 tptp.late_TauR))) 0.54/1.03 (assume @p249 (forall @t376 (= (_ (_ tptp.fresh_493808761reeRes @t35) (_ (_ tptp.produc1244821099reeRes @t46) @t373)) (and @t58 @t529)))) 0.54/1.03 (assume @p250 (forall (@list @t637 @t324 @t166) (=> (forall (@list @t175 @t174 @t169 @t327) (=> @t335 (=> @t178 (_ @t638 @t176)))) (=> (forall (@list @t170 @t169 @t327) (_ @t638 @t171)) (_ (_ @t637 @t324) @t166))))) 0.54/1.03 (assume @p251 (forall @t250 (not (= @t245 @t424)))) 0.54/1.03 (assume @p252 (_ (_ tptp.fresh_name_name tptp.z) tptp.x)) 0.54/1.03 (assume @p253 (forall (@list @t103 @t84 @t464 @t83) (= (= @t107 (_ (_ tptp.res @t464) @t83)) @t493))) 0.54/1.03 (assume @p254 (forall @t639 (= (_ (_ (_ tptp.subs @t367) @t91) @t90) (_ tptp.tau @t564)))) 0.54/1.03 (assume @p255 (forall @t641 (=> @t617 (=> @t73 @t640)))) 0.54/1.03 (assume @p256 (forall (@list @t18 @t255 @t22 @t63) (=> @t550 (_ @t66 (_ @t256 @t541))))) 0.54/1.03 (assume @p257 (forall @t643 (= (_ (_ (_ tptp.subs @t474) @t91) @t90) (_ (_ (_ tptp.mismatch @t630) @t642) @t564)))) 0.54/1.03 (assume @p258 (forall (@list @t292 @t34 @t291 @t86) (= (= @t547 (_ (_ tptp.late_FreeR @t291) @t86)) (and @t87 @t293)))) 0.54/1.03 (assume @p259 (forall @t449 (not (= @t457 @t251)))) 0.54/1.03 (assume @p260 (forall @t561 (=> @t560 (= (_ (_ (_ tptp.subs @t559) @t35) @t60) @t558)))) 0.54/1.03 (assume @p261 (_ @t545 tptp.q2)) 0.54/1.03 (assume @p262 (forall @t645 (= (_ (_ (_ tptp.subs @t65) @t91) @t90) (_ (_ tptp.par @t564) @t644)))) 0.54/1.03 (assume @p263 (forall (@list @t23 @t35 @t16 @t18 @t60 @t469 @t22) (not (_ @t646 (_ (_ @t567 @t469) @t22))))) 0.54/1.03 (assume @p264 (forall (@list @t23 @t35 @t16 @t18 @t255 @t22) (not (_ @t646 @t267)))) 0.54/1.03 (assume @p265 (forall @t643 (= (_ (_ (_ tptp.subs @t94) @t91) @t90) (_ (_ (_ tptp.output @t630) @t642) @t564)))) 0.54/1.03 (assume @p266 (forall @t399 (= (_ @t36 @t88) (and @t398 @t37)))) 0.54/1.03 (assume @p267 (_ @t445 tptp.p2)) 0.54/1.03 (assume @p268 (forall (@list @t648 @t647) (=> (forall (@list @t344 @t343) (_ @t648 (_ (_ tptp.late_OutputR @t344) @t343))) (=> (_ @t648 tptp.late_TauR) (_ @t648 @t647))))) 0.54/1.03 (assume @p269 (forall @t643 (= (_ (_ (_ tptp.subs @t193) @t91) @t90) (_ (_ (_ tptp.match @t630) @t642) @t564)))) 0.54/1.03 (assume @p270 (forall @t253 (not (= @t8 @t251)))) 0.54/1.03 (assume @p271 (forall (@list @t38 @t103 @t377 @t464) (= (= @t468 (_ (_ tptp.late_OutputR @t377) @t464)) (and @t378 @t465)))) 0.54/1.03 (assume @p272 (forall (@list @t38 @t377) (= (= @t460 (_ tptp.late_BoundOutputS @t377)) @t378))) 0.54/1.03 (assume @p273 (forall @t9 (not (= @t252 @t266)))) 0.54/1.03 (assume @p274 (forall @t212 (=> (forall @t211 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t209) @t210)) @t120)) (_ @t124 @t208)))) 0.54/1.03 (assume @p275 (forall @t458 (not (= @t448 @t81)))) 0.54/1.03 (assume @p276 (forall @t603 (= @t602 (and @t601 @t303)))) 0.54/1.03 (assume @p277 (forall (@list @t35 @t46 @t353) (= (_ (_ tptp.fresh_1498103185ubject @t35) (_ (_ tptp.produc320590723ubject @t46) @t353)) (and @t490 @t58)))) 0.54/1.03 (assume @p278 (forall @t305 (= @t304 (and @t300 @t303)))) 0.54/1.03 (assume @p279 (forall @t520 (=> @t519 @t529))) 0.54/1.03 (assume @p280 (forall @t391 (not (= tptp.piNil @t266)))) 0.54/1.03 (assume @p281 (_ tptp.eqvt_pi tptp.rel)) 0.54/1.03 (assume @p282 (forall (@list @t35 @t18) (_ @t36 @t559))) 0.54/1.03 (assume @p283 (forall @t645 (= (_ (_ (_ tptp.subs @t269) @t91) @t90) (_ (_ tptp.sum @t564) @t644)))) 0.54/1.03 (assume @p284 (forall @t45 (= (_ @t36 @t616) @t43))) 0.54/1.03 (assume @p285 (forall @t507 (= (= @t552 (_ tptp.tau @t86)) @t87))) 0.54/1.03 (assume @p286 (= tptp.alpha tptp.late_TauR)) 0.54/1.03 (assume @p287 (forall @t641 (=> @t617 (=> @t73 (=> @t72 (=> @t543 @t640)))))) 0.54/1.03 (assume @p288 (forall @t382 (= (= @t44 (_ (_ (_ tptp.mismatch @t379) @t377) @t86)) @t381))) 0.54/1.03 (assume @p289 (forall @t467 (= (= @t260 (_ tptp.late_InputS @t464)) @t465))) 0.54/1.03 (assume @p290 (forall (@list @t18 @t181 @t23) (=> @t192 (=> @t73 (_ (_ tptp.fresh_81631222sidual @t23) @t181))))) 0.54/1.03 (assume @p291 (forall (@list @t23 @t181) (not (_ (_ tptp.late_transitions (_ @t198 tptp.piNil)) @t181)))) 0.54/1.03 (assume @p292 (forall @t625 (=> @t624 @t461))) 0.54/1.03 (assume @p293 (forall (@list @t181) (not (_ (_ tptp.late_transitions tptp.piNil) @t181)))) 0.54/1.03 (assume @p294 (forall @t212 (not (_ @t121 @t367)))) 0.54/1.03 (assume @p295 (forall (@list @t23 @t60 @t91 @t35 @t18) (=> @t70 (=> @t566 (= (_ (_ @t631 @t60) @t91) (_ (_ (_ tptp.input (_ (_ @t629 @t60) @t91)) @t23) @t309)))))) 0.54/1.03 (assume @p296 (forall (@list @t35 @t23 @t353) (= (_ (_ tptp.fresh_820177506ubject @t35) (_ (_ tptp.produc607574050ubject @t23) @t353)) (and @t490 @t528)))) 0.54/1.03 (assume @p297 (forall (@list @t35 @t354 @t214) (= (_ (_ tptp.fresh_994896692ect_pi @t35) (_ (_ tptp.produc324947500ect_pi @t354) @t214)) (and @t491 @t530)))) 0.54/1.03 (assume @p298 (forall @t363 (=> @t194 @t191))) 0.54/1.03 (assume @p299 (forall @t250 (not (= @t532 @t249)))) 0.54/1.03 (assume @p300 (forall @t323 (= @t322 (and @t303 @t320)))) 0.54/1.03 (assume @p301 (forall (@list @t35 @t60 @t18 @t255 @t22) (=> @t453 (not (or (_ @t57 @t255) (_ @t392 @t255)))))) 0.54/1.03 (assume @p302 (forall (@list @t34 @t84 @t86 @t83) (= (= (_ (_ tptp.product_Pair_pi_pi @t34) @t84) (_ (_ tptp.product_Pair_pi_pi @t86) @t83)) @t389))) 0.54/1.03 (assume @p303 (forall (@list @t91 @t90) (= (_ (_ (_ tptp.subs tptp.piNil) @t91) @t90) tptp.piNil))) 0.54/1.03 (assume @p304 (forall @t639 (= (_ (_ (_ tptp.subs @t182) @t91) @t90) (_ tptp.bang @t564)))) 0.54/1.03 (assume @p305 (forall @t477 (not (_ @t368 @t411)))) 0.54/1.03 (assume @p306 (forall (@list @t649 @t312) (=> (forall @t650 (_ @t649 (_ tptp.late_InputS @t174))) (=> (forall @t650 (_ @t649 (_ tptp.late_BoundOutputS @t174))) (_ @t649 @t312))))) 0.54/1.03 (assume @p307 (forall (@list @t18 @t120 @t63 @t255 @t59) (=> @t125 (=> @t257 (exists @t438 (and (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t278) @t59)) @t120) @t437)))))) 0.54/1.03 (assume @p308 true) 0.54/1.03 (step @p309 (= tptp.subst_name @t655) :rule refl :args (@t655)) 0.54/1.03 (step @p310 (= tptp.fresh_name_name @t656) :rule refl :args (@t656)) 0.54/1.03 (step @p311 (= tptp.strong743114133lation @t670) :rule refl :args (@t670)) 0.54/1.03 (step @p312 :rule eq-symm :args (@t672 @t673)) 0.54/1.03 (step @p313 :rule cong :premises (@p312) :args ((forall @t264 (= @t672 @t673)))) 0.54/1.03 (step @p314 :rule refl :args (@t673)) 0.54/1.03 (step @p315 :rule refl :args ((tptp.fresh_717452603ubject @t35 @t260))) 0.54/1.03 (step @p316 :rule refl :args (@t671)) 0.54/1.03 (step @p317 :rule refl :args (@t35)) 0.54/1.03 (step @p318 :rule cong :premises (@p317 @p316) :args (@t672)) 0.54/1.03 (step @p319 :rule trans :premises (@p318 @p315)) 0.54/1.03 (step @p320 :rule refl :args (@t261)) 0.54/1.03 (step @p321 :rule ho_cong :premises (@p320 @p316)) 0.54/1.03 (step @p322 :rule cong :premises (@p321 @p319) :args ((= (_ @t261 @t671) @t672))) 0.54/1.03 (step @p323 :rule symm :premises (@p322)) 0.54/1.03 (step @p324 :rule refl :args (@t262)) 0.54/1.03 (step @p325 :rule eq_resolve :premises (@p324 @p323)) 0.54/1.03 (step @p326 :rule refl :args (@t260)) 0.54/1.03 (step @p327 :rule cong :premises (@p326 @p316) :args ((= @t260 @t671))) 0.54/1.03 (step @p328 :rule symm :premises (@p327)) 0.54/1.03 (step @p329 :rule eq_resolve :premises (@p326 @p328)) 0.54/1.03 (step @p330 :rule ho_cong :premises (@p320 @p329)) 0.54/1.03 (step @p331 :rule trans :premises (@p330 @p325)) 0.54/1.03 (step @p332 :rule cong :premises (@p331 @p314) :args (@t674)) 0.54/1.03 (step @p333 :rule cong :premises (@p332) :args ((forall @t264 @t674))) 0.54/1.03 (step @p334 :rule trans :premises (@p333 @p313)) 0.54/1.03 (step @p335 :rule eq-symm :args (@t103 @t35)) 0.54/1.03 (step @p336 :rule cong :premises (@p335) :args (@t675)) 0.54/1.03 (step @p337 :rule beta-reduce :args ((= (_ (lambda @t676 (not (= @t653 @t35))) @t103) @t675))) 0.54/1.03 (step @p338 :rule trans :premises (@p337 @p336)) 0.54/1.03 (step @p339 :rule refl :args (@t103)) 0.54/1.03 (step @p340 :rule eq-symm :args (@t35 @t653)) 0.54/1.03 (step @p341 :rule cong :premises (@p340) :args (@t677)) 0.54/1.03 (step @p342 :rule cong :premises (@p341) :args (@t678)) 0.54/1.03 (step @p343 :rule beta-reduce :args ((= @t679 @t678))) 0.54/1.03 (step @p344 :rule trans :premises (@p343 @p342)) 0.54/1.03 (step @p345 :rule ho_cong :premises (@p344 @p339)) 0.54/1.03 (step @p346 :rule trans :premises (@p345 @p338)) 0.54/1.03 (step @p347 :rule refl :args (@t262)) 0.54/1.03 (step @p348 :rule cong :premises (@p347 @p346) :args (@t680)) 0.54/1.03 (step @p349 :rule cong :premises (@p348) :args ((forall @t264 @t680))) 0.54/1.03 (step @p350 :rule trans :premises (@p349 @p334)) 0.54/1.03 (step @p351 :rule refl :args (@t35)) 0.54/1.03 (step @p352 :rule ho_cong :premises (@p310 @p351)) 0.54/1.03 (step @p353 :rule ho_cong :premises (@p352 @p339)) 0.54/1.03 (step @p354 :rule cong :premises (@p347 @p353) :args (@t263)) 0.54/1.03 (step @p355 :rule cong :premises (@p354) :args (@t265)) 0.54/1.03 (step @p356 :rule trans :premises (@p355 @p350)) 0.54/1.03 (step @p357 :rule eq_resolve :premises (@p45 @p356)) 0.54/1.03 (step @p358 :rule refl :args (@t681)) 0.54/1.03 (step @p359 :rule refl :args (@t17)) 0.54/1.03 (step @p360 :rule cong :premises (@p359 @p358) :args ((= @t17 @t681))) 0.54/1.03 (step @p361 :rule symm :premises (@p360)) 0.54/1.03 (step @p362 :rule eq_resolve :premises (@p359 @p361)) 0.54/1.03 (step @p363 :rule refl :args (@t682)) 0.54/1.03 (step @p364 :rule refl :args (@t20)) 0.54/1.03 (step @p365 :rule cong :premises (@p364 @p363) :args ((= @t20 @t682))) 0.54/1.03 (step @p366 :rule symm :premises (@p365)) 0.54/1.03 (step @p367 :rule eq_resolve :premises (@p364 @p366)) 0.54/1.03 (step @p368 :rule cong :premises (@p367) :args (@t683)) 0.54/1.03 (step @p369 :rule refl :args ((tptp.late_transitions @t18 @t26))) 0.54/1.03 (step @p370 :rule refl :args (@t684)) 0.54/1.03 (step @p371 :rule refl :args (@t18)) 0.54/1.03 (step @p372 :rule cong :premises (@p371 @p370) :args (@t685)) 0.54/1.03 (step @p373 :rule trans :premises (@p372 @p369)) 0.54/1.03 (step @p374 :rule refl :args (@t27)) 0.54/1.03 (step @p375 :rule ho_cong :premises (@p374 @p370)) 0.54/1.03 (step @p376 :rule cong :premises (@p375 @p373) :args ((= (_ @t27 @t684) @t685))) 0.54/1.03 (step @p377 :rule symm :premises (@p376)) 0.54/1.03 (step @p378 :rule refl :args (@t28)) 0.54/1.03 (step @p379 :rule eq_resolve :premises (@p378 @p377)) 0.54/1.03 (step @p380 :rule refl :args (@t26)) 0.54/1.03 (step @p381 :rule cong :premises (@p380 @p370) :args ((= @t26 @t684))) 0.54/1.03 (step @p382 :rule symm :premises (@p381)) 0.54/1.03 (step @p383 :rule eq_resolve :premises (@p380 @p382)) 0.54/1.03 (step @p384 :rule ho_cong :premises (@p374 @p383)) 0.54/1.03 (step @p385 :rule trans :premises (@p384 @p379)) 0.54/1.03 (step @p386 :rule cong :premises (@p385) :args (@t686)) 0.54/1.03 (step @p387 :rule nary_cong :premises (@p386 @p368 @p362) :args (@t687)) 0.54/1.03 (step @p388 :rule cong :premises (@p387) :args ((forall @t29 @t687))) 0.54/1.03 (step @p389 :rule aci_norm :args ((= (or @t686 (or @t683 @t17)) @t687))) 0.54/1.03 (step @p390 :rule bool-impl-elim :args (@t20 @t17)) 0.54/1.03 (step @p391 :rule refl :args (@t686)) 0.54/1.03 (step @p392 :rule nary_cong :premises (@p391 @p390) :args ((or @t686 @t21))) 0.54/1.03 (step @p393 :rule trans :premises (@p392 @p389)) 0.54/1.03 (step @p394 :rule bool-impl-elim :args (@t28 @t21)) 0.54/1.03 (step @p395 :rule trans :premises (@p394 @p393)) 0.54/1.03 (step @p396 :rule cong :premises (@p395) :args (@t30)) 0.54/1.03 (step @p397 :rule trans :premises (@p396 @p388)) 0.54/1.03 (step @p398 :rule eq_resolve :premises (@p3 @p397)) 0.54/1.03 (step @p399 :rule instantiate :premises (@p398) :args ((@list tptp.p @t688 tptp.y tptp.p2 tptp.x))) 0.54/1.03 (step @p400 :rule refl :args ((tptp.late_transitions tptp.p @t690))) 0.54/1.03 (step @p401 :rule refl :args ((tptp.late_BoundR @t689 tptp.y tptp.p2))) 0.54/1.03 (step @p402 :rule refl :args (tptp.p2)) 0.54/1.03 (step @p403 :rule refl :args (tptp.y)) 0.54/1.03 (step @p404 :rule refl :args (@t688)) 0.54/1.03 (step @p405 :rule cong :premises (@p404 @p403 @p402) :args (@t691)) 0.54/1.03 (step @p406 :rule trans :premises (@p405 @p401)) 0.54/1.03 (step @p407 :rule refl :args (tptp.p)) 0.54/1.03 (step @p408 :rule cong :premises (@p407 @p406) :args (@t692)) 0.54/1.03 (step @p409 :rule trans :premises (@p408 @p400)) 0.54/1.03 (step @p410 :rule refl :args (@t540)) 0.54/1.03 (step @p411 :rule ho_cong :premises (@p410 @p406)) 0.54/1.03 (step @p412 :rule cong :premises (@p411 @p409) :args ((= (_ @t540 @t691) @t692))) 0.54/1.03 (step @p413 :rule symm :premises (@p412)) 0.54/1.03 (step @p414 :rule refl :args ((_ @t540 @t690))) 0.54/1.03 (step @p415 :rule eq_resolve :premises (@p414 @p413)) 0.54/1.03 (step @p416 :rule refl :args (tptp.late_BoundR)) 0.54/1.03 (step @p417 :rule ho_cong :premises (@p416 @p404)) 0.54/1.03 (step @p418 :rule ho_cong :premises (@p417 @p403)) 0.54/1.03 (step @p419 :rule ho_cong :premises (@p418 @p402)) 0.54/1.03 (step @p420 :rule cong :premises (@p419 @p406) :args ((= (_ (_ (_ tptp.late_BoundR @t688) tptp.y) tptp.p2) @t691))) 0.54/1.03 (step @p421 :rule symm :premises (@p420)) 0.54/1.03 (step @p422 :rule refl :args (@t690)) 0.54/1.03 (step @p423 :rule eq_resolve :premises (@p422 @p421)) 0.54/1.03 (step @p424 :rule refl :args (tptp.p2)) 0.54/1.03 (step @p425 :rule refl :args (tptp.y)) 0.54/1.03 (step @p426 :rule refl :args (@t689)) 0.54/1.03 (step @p427 :rule cong :premises (@p426 @p404) :args ((= @t689 @t688))) 0.54/1.03 (step @p428 :rule symm :premises (@p427)) 0.54/1.03 (step @p429 :rule eq_resolve :premises (@p426 @p428)) 0.54/1.03 (step @p430 :rule refl :args (tptp.late_BoundR)) 0.54/1.03 (step @p431 :rule ho_cong :premises (@p430 @p429)) 0.54/1.03 (step @p432 :rule ho_cong :premises (@p431 @p425)) 0.54/1.03 (step @p433 :rule ho_cong :premises (@p432 @p424)) 0.54/1.03 (step @p434 :rule trans :premises (@p433 @p423)) 0.54/1.03 (step @p435 :rule refl :args (@t540)) 0.54/1.03 (step @p436 :rule ho_cong :premises (@p435 @p434)) 0.54/1.03 (step @p437 :rule trans :premises (@p436 @p415)) 0.54/1.03 (step @p438 :rule eq-symm :args (tptp.x tptp.aa)) 0.54/1.03 (step @p439 :rule bool-double-not-elim :args (@t499)) 0.54/1.03 (step @p440 :rule trans :premises (@p439 @p438)) 0.54/1.03 (step @p441 :rule eq_resolve :premises (@p133 @p440)) 0.54/1.03 (step @p442 :rule refl :args (tptp.late_InputS)) 0.54/1.03 (step @p443 :rule ho_cong :premises (@p442 @p441)) 0.54/1.03 (step @p444 :rule ho_cong :premises (@p430 @p443)) 0.54/1.03 (step @p445 :rule ho_cong :premises (@p444 @p425)) 0.54/1.03 (step @p446 :rule ho_cong :premises (@p445 @p424)) 0.54/1.03 (step @p447 :rule ho_cong :premises (@p435 @p446)) 0.54/1.03 (step @p448 :rule trans :premises (@p447 @p437)) 0.54/1.03 (step @p449 :rule eq_resolve :premises (@p161 @p448)) 0.54/1.03 (step @p450 :rule refl :args (@t693)) 0.54/1.03 (step @p451 :rule refl :args (@t313)) 0.54/1.03 (step @p452 :rule cong :premises (@p451 @p450) :args ((= @t313 @t693))) 0.54/1.03 (step @p453 :rule symm :premises (@p452)) 0.54/1.03 (step @p454 :rule eq_resolve :premises (@p451 @p453)) 0.54/1.03 (step @p455 :rule eq_resolve :premises (@p61 @p454)) 0.54/1.03 (step @p456 :rule cnf_or_pos :args (@t697)) 0.54/1.03 (step @p457 :rule reordering :premises (@p456) :args ((or @t695 @t696 @t694 (not @t697)))) 0.54/1.03 (step @p458 :rule chain_resolution :premises (@p457 @p455 @p449 @p399) :args ((@list false false false) (@list @t693 @t692 @t697))) 0.54/1.03 (step @p459 :rule bool-eq-false :args (@t694)) 0.54/1.03 (step @p460 :rule evaluate :args ((not true))) 0.54/1.03 (step @p461 :rule eq-refl :args (tptp.x)) 0.54/1.03 (step @p462 :rule cong :premises (@p461) :args (@t698)) 0.54/1.03 (step @p463 :rule trans :premises (@p462 @p460)) 0.54/1.03 (step @p464 :rule refl :args (@t694)) 0.54/1.03 (step @p465 :rule cong :premises (@p464 @p463) :args ((= @t694 @t698))) 0.54/1.03 (step @p466 :rule trans :premises (@p465 @p459)) 0.54/1.03 (step @p467 :rule eq-symm :args (@t698 @t694)) 0.54/1.03 (step @p468 :rule trans :premises (@p467 @p466)) 0.54/1.03 (step @p469 :rule refl :args (@t699)) 0.54/1.03 (step @p470 :rule cong :premises (@p469 @p468) :args ((=> @t699 @t700))) 0.54/1.03 (assume-push @p478 @t699) 0.54/1.03 (step @p472 :rule instantiate :premises (@p357) :args ((@list tptp.x tptp.x))) 0.54/1.03 (step-pop @p478 :rule scope :premises (@p472)) 0.54/1.03 (step @p473 :rule process_scope :premises (@p478) :args (@t700)) 0.54/1.03 (step @p475 :rule eq_resolve :premises (@p473 @p470)) 0.54/1.03 (step @p476 :rule implies_elim :premises (@p475)) 0.54/1.03 (step @p477 false :rule chain_resolution :premises (@p476 @p458 @p357) :args ((@list false false) (@list @t694 @t699))) 0.54/1.03 ) 0.54/1.03 % SZS output end Proof 0.54/1.03 % cvc5 exiting 0.54/1.03 EOF