%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO064^4.004 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:11:55 AM UTC 2026 % Result : Theorem 0.70s 0.96s % Output : Proof 0.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO064^4.004 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:53:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.70/0.96 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.70/0.96 % SZS status Theorem % 0.70/0.96 % SZS output start Proof % 0.70/0.96 ( % 0.70/0.96 (declare-sort $$unsorted 0) % 0.70/0.96 (declare-const tptp.irel (-> $$unsorted $$unsorted Bool)) % 0.70/0.96 (declare-const tptp.a (-> $$unsorted Bool)) % 0.70/0.96 (declare-const tptp.a4 (-> $$unsorted Bool)) % 0.70/0.96 (declare-const tptp.a3 (-> $$unsorted Bool)) % 0.70/0.96 (declare-const tptp.b3 (-> $$unsorted Bool)) % 0.70/0.96 (declare-const tptp.b2 (-> $$unsorted Bool)) % 0.70/0.96 (declare-const tptp.a2 (-> $$unsorted Bool)) % 0.70/0.96 (declare-const tptp.b1 (-> $$unsorted Bool)) % 0.70/0.96 (declare-const tptp.ifalse (-> $$unsorted Bool)) % 0.70/0.96 (declare-const tptp.a1 (-> $$unsorted Bool)) % 0.70/0.96 (declare-const tptp.b (-> $$unsorted Bool)) % 0.70/0.96 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.70/0.96 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.70/0.96 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.70/0.96 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.70/0.96 (define tptp.mbox_s4 () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.irel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.70/0.96 (define tptp.iatom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ _let_2 _let_1))))) % 0.70/0.96 (define tptp.inot () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 _let_2)) _let_1))))) % 0.70/0.96 (define tptp.itrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.70/0.96 (define tptp.iand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1)))))) % 0.70/0.96 (define tptp.ior () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1)))))) % 0.70/0.96 (define tptp.iimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mimplies (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1)))))) % 0.70/0.96 (define tptp.iimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iimplies _let_3) _let_2) _let_1)))))) % 0.70/0.96 (define tptp.iequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iand (_ (_ tptp.iimplies _let_2) _let_3)) (_ (_ tptp.iimplies _let_3) _let_2)) _let_1)))))) % 0.70/0.96 (define tptp.ixor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.inot (_ (_ tptp.iequiv _let_3) _let_2)) _let_1)))))) % 0.70/0.96 (define tptp.ivalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.70/0.96 (define tptp.isatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.70/0.96 (define tptp.icountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.70/0.96 (define tptp.iinvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.70/0.96 (define @t1 () (@var "X" $$unsorted)) % 0.70/0.96 (define @t2 () (_ tptp.irel @t1)) % 0.70/0.96 (define @t3 () (_ @t2 @t1)) % 0.70/0.96 (define @t4 () (@list @t1)) % 0.70/0.96 (define @t5 () (forall @t4 @t3)) % 0.70/0.96 (define @t6 () (@var "Z" $$unsorted)) % 0.70/0.96 (define @t7 () (_ @t2 @t6)) % 0.70/0.96 (define @t8 () (@var "Y" $$unsorted)) % 0.70/0.96 (define @t9 () (_ (_ tptp.irel @t8) @t6)) % 0.70/0.96 (define @t10 () (_ @t2 @t8)) % 0.70/0.96 (define @t11 () (and @t10 @t9)) % 0.70/0.96 (define @t12 () (@list @t1 @t8 @t6)) % 0.70/0.96 (define @t13 () (forall @t12 (=> @t11 @t7))) % 0.70/0.96 (define @t14 () (_ tptp.iatom tptp.a4)) % 0.70/0.96 (define @t15 () (_ tptp.iatom tptp.b3)) % 0.70/0.96 (define @t16 () (_ tptp.iatom tptp.a3)) % 0.70/0.96 (define @t17 () (_ tptp.iatom tptp.b2)) % 0.70/0.96 (define @t18 () (_ tptp.iatom tptp.a2)) % 0.70/0.96 (define @t19 () (_ tptp.iatom tptp.b1)) % 0.70/0.96 (define @t20 () (_ tptp.iatom tptp.a1)) % 0.70/0.96 (define @t21 () (_ tptp.iatom tptp.b)) % 0.70/0.96 (define @t22 () (_ tptp.iatom tptp.a)) % 0.70/0.96 (define @t23 () (not (_ tptp.ivalid (_ (_ tptp.ior @t22) (_ (_ tptp.ior (_ (_ tptp.iand @t21) @t20)) (_ (_ tptp.ior (_ (_ tptp.iand @t19) @t18)) (_ (_ tptp.ior (_ (_ tptp.iand @t17) @t16)) (_ (_ tptp.iand @t15) @t14)))))))) % 0.70/0.96 (define @t24 () (@var "U" $$unsorted)) % 0.70/0.96 (define @t25 () (@var "X" (-> $$unsorted Bool))) % 0.70/0.96 (define @t26 () (_ @t25 @t24)) % 0.70/0.96 (define @t27 () (lambda (@list @t25 @t24) (not @t26))) % 0.70/0.96 (define @t28 () (@var "Y" (-> $$unsorted Bool))) % 0.70/0.96 (define @t29 () (_ @t28 @t24)) % 0.70/0.96 (define @t30 () (@list @t25 @t28 @t24)) % 0.70/0.96 (define @t31 () (lambda @t30 (or @t26 @t29))) % 0.70/0.96 (define @t32 () (lambda @t30 (and @t26 @t29))) % 0.70/0.96 (define @t33 () (@var "__flatten_var_0" $$unsorted)) % 0.70/0.96 (define @t34 () (@var "V" (-> $$unsorted Bool))) % 0.70/0.96 (define @t35 () (@var "U" (-> $$unsorted Bool))) % 0.70/0.96 (define @t36 () (@list @t35 @t34 @t33)) % 0.70/0.96 (define @t37 () (lambda @t36 (_ (_ (_ tptp.mor (_ tptp.mnot @t35)) @t34) @t33))) % 0.70/0.96 (define @t38 () (@var "P" (-> $$unsorted Bool))) % 0.70/0.96 (define @t39 () (_ @t38 @t8)) % 0.70/0.96 (define @t40 () (@list @t8)) % 0.70/0.96 (define @t41 () (forall @t40 (=> @t10 @t39))) % 0.70/0.96 (define @t42 () (@list @t38 @t1)) % 0.70/0.96 (define @t43 () (lambda @t42 @t41)) % 0.70/0.96 (define @t44 () (_ @t38 @t33)) % 0.70/0.96 (define @t45 () (@list @t38 @t33)) % 0.70/0.96 (define @t46 () (lambda @t45 @t44)) % 0.70/0.96 (define @t47 () (_ tptp.mbox_s4 @t38)) % 0.70/0.96 (define @t48 () (lambda @t45 (_ (_ tptp.mnot @t47) @t33))) % 0.70/0.96 (define @t49 () (@var "W" $$unsorted)) % 0.70/0.96 (define @t50 () (@list @t49)) % 0.70/0.96 (define @t51 () (lambda @t50 true)) % 0.70/0.96 (define @t52 () (@var "Q" (-> $$unsorted Bool))) % 0.70/0.96 (define @t53 () (@list @t38 @t52 @t33)) % 0.70/0.96 (define @t54 () (lambda @t53 (_ (_ (_ tptp.mand @t38) @t52) @t33))) % 0.70/0.96 (define @t55 () (_ tptp.mbox_s4 @t52)) % 0.70/0.96 (define @t56 () (lambda @t53 (_ (_ (_ tptp.mor @t47) @t55) @t33))) % 0.70/0.96 (define @t57 () (lambda @t53 (_ (_ (_ tptp.mimplies @t47) @t55) @t33))) % 0.70/0.96 (define @t58 () (_ (_ tptp.iimplies @t52) @t38)) % 0.70/0.96 (define @t59 () (lambda @t53 (_ @t58 @t33))) % 0.70/0.96 (define @t60 () (lambda @t53 (_ (_ (_ tptp.iand (_ (_ tptp.iimplies @t38) @t52)) @t58) @t33))) % 0.70/0.96 (define @t61 () (lambda @t53 (_ (_ tptp.inot (_ (_ tptp.iequiv @t38) @t52)) @t33))) % 0.70/0.96 (define @t62 () (@var "Phi" (-> $$unsorted Bool))) % 0.70/0.96 (define @t63 () (_ @t62 @t49)) % 0.70/0.96 (define @t64 () (forall @t50 @t63)) % 0.70/0.96 (define @t65 () (@list @t62)) % 0.70/0.96 (define @t66 () (lambda @t65 @t64)) % 0.70/0.96 (define @t67 () (lambda @t65 (exists @t50 @t63))) % 0.70/0.96 (define @t68 () (not @t63)) % 0.70/0.96 (define @t69 () (lambda @t65 (exists @t50 @t68))) % 0.70/0.96 (define @t70 () (lambda @t65 (forall @t50 @t68))) % 0.70/0.96 (define @t71 () (tptp.a4 @t49)) % 0.70/0.96 (define @t72 () (_ tptp.a4 @t49)) % 0.70/0.96 (define @t73 () (_ tptp.a4 @t33)) % 0.70/0.96 (define @t74 () (@list @t33)) % 0.70/0.96 (define @t75 () (lambda @t74 @t73)) % 0.70/0.96 (define @t76 () (_ @t75 @t49)) % 0.70/0.96 (define @t77 () (forall @t50 @t76)) % 0.70/0.96 (define @t78 () (_ @t62 @t49)) % 0.70/0.96 (define @t79 () (lambda @t65 (forall @t50 @t78))) % 0.70/0.96 (define @t80 () (_ @t46 tptp.a4)) % 0.70/0.96 (define @t81 () (@var "BOUND_VARIABLE_8289" $$unsorted)) % 0.70/0.96 (define @t82 () (tptp.b3 @t81)) % 0.70/0.96 (define @t83 () (@var "BOUND_VARIABLE_8281" $$unsorted)) % 0.70/0.96 (define @t84 () (not (tptp.irel @t83 @t81))) % 0.70/0.96 (define @t85 () (@var "BOUND_VARIABLE_8287" $$unsorted)) % 0.70/0.96 (define @t86 () (tptp.a3 @t85)) % 0.70/0.96 (define @t87 () (@var "BOUND_VARIABLE_8283" $$unsorted)) % 0.70/0.96 (define @t88 () (not (tptp.irel @t87 @t85))) % 0.70/0.96 (define @t89 () (@var "BOUND_VARIABLE_8285" $$unsorted)) % 0.70/0.96 (define @t90 () (tptp.b3 @t89)) % 0.70/0.96 (define @t91 () (not (tptp.irel @t87 @t89))) % 0.70/0.96 (define @t92 () (not (tptp.irel @t83 @t87))) % 0.70/0.96 (define @t93 () (not (tptp.irel @t49 @t83))) % 0.70/0.96 (define @t94 () (tptp.b2 @t8)) % 0.70/0.96 (define @t95 () (not (tptp.irel @t49 @t8))) % 0.70/0.96 (define @t96 () (not (forall @t40 (or @t95 @t94)))) % 0.70/0.96 (define @t97 () (or @t93 @t92 @t91 @t90 @t88 @t86 @t84 @t82)) % 0.70/0.96 (define @t98 () (or @t96 @t97)) % 0.70/0.96 (define @t99 () (forall (@list @t49 @t83 @t87 @t89 @t85 @t81) @t98)) % 0.70/0.96 (define @t100 () (@list @t83 @t87 @t89 @t85 @t81)) % 0.70/0.96 (define @t101 () (forall @t100 @t98)) % 0.70/0.96 (define @t102 () (forall @t100 @t97)) % 0.70/0.96 (define @t103 () (@var "BOUND_VARIABLE_8256" $$unsorted)) % 0.70/0.96 (define @t104 () (@var "BOUND_VARIABLE_8245" $$unsorted)) % 0.70/0.96 (define @t105 () (@var "BOUND_VARIABLE_8243" $$unsorted)) % 0.70/0.96 (define @t106 () (@var "BOUND_VARIABLE_8241" $$unsorted)) % 0.70/0.96 (define @t107 () (or @t96 @t102)) % 0.70/0.96 (define @t108 () (tptp.b3 @t103)) % 0.70/0.96 (define @t109 () (not (tptp.irel @t8 @t103))) % 0.70/0.96 (define @t110 () (tptp.a3 @t104)) % 0.70/0.96 (define @t111 () (not (tptp.irel @t106 @t104))) % 0.70/0.96 (define @t112 () (tptp.b3 @t105)) % 0.70/0.96 (define @t113 () (not (tptp.irel @t106 @t105))) % 0.70/0.96 (define @t114 () (not (tptp.irel @t8 @t106))) % 0.70/0.96 (define @t115 () (@list @t8 @t106 @t105 @t104 @t103)) % 0.70/0.96 (define @t116 () (or @t96 (forall @t115 (or @t95 @t114 @t113 @t112 @t111 @t110 @t109 @t108)))) % 0.70/0.96 (define @t117 () (not (tptp.irel @t33 @t8))) % 0.70/0.96 (define @t118 () (or @t117 @t114 @t113 @t112 @t111 @t110 @t109 @t108)) % 0.70/0.96 (define @t119 () (forall @t40 (or @t117 @t94))) % 0.70/0.96 (define @t120 () (not @t119)) % 0.70/0.96 (define @t121 () (lambda @t74 (or @t120 (forall @t115 @t118)))) % 0.70/0.96 (define @t122 () (_ @t121 @t49)) % 0.70/0.96 (define @t123 () (forall @t50 @t122)) % 0.70/0.96 (define @t124 () (or @t109 @t108)) % 0.70/0.96 (define @t125 () (or @t114 @t113 @t112 @t111 @t110)) % 0.70/0.96 (define @t126 () (or @t117 @t125 @t124)) % 0.70/0.96 (define @t127 () (forall @t115 @t126)) % 0.70/0.96 (define @t128 () (forall (@list @t106 @t105 @t104 @t103) @t126)) % 0.70/0.96 (define @t129 () (forall (@list @t103) @t124)) % 0.70/0.96 (define @t130 () (@var "BOUND_VARIABLE_8207" $$unsorted)) % 0.70/0.96 (define @t131 () (@list @t130)) % 0.70/0.96 (define @t132 () (forall (@list @t106 @t105 @t104) @t125)) % 0.70/0.96 (define @t133 () (@var "BOUND_VARIABLE_8181" $$unsorted)) % 0.70/0.96 (define @t134 () (@var "BOUND_VARIABLE_8175" $$unsorted)) % 0.70/0.96 (define @t135 () (@var "BOUND_VARIABLE_8215" $$unsorted)) % 0.70/0.96 (define @t136 () (or @t117 @t132 @t129)) % 0.70/0.96 (define @t137 () (tptp.b3 @t130)) % 0.70/0.96 (define @t138 () (@list @t130)) % 0.70/0.96 (define @t139 () (forall @t138 (or (not (tptp.irel @t8 @t130)) @t137))) % 0.70/0.96 (define @t140 () (tptp.a3 @t133)) % 0.70/0.96 (define @t141 () (not (tptp.irel @t135 @t133))) % 0.70/0.96 (define @t142 () (tptp.b3 @t134)) % 0.70/0.96 (define @t143 () (not (tptp.irel @t135 @t134))) % 0.70/0.96 (define @t144 () (@list @t135 @t134 @t133)) % 0.70/0.96 (define @t145 () (forall @t144 (or (not (tptp.irel @t8 @t135)) @t143 @t142 @t141 @t140))) % 0.70/0.96 (define @t146 () (or @t117 @t145 @t139)) % 0.70/0.96 (define @t147 () (or @t145 @t139)) % 0.70/0.96 (define @t148 () (tptp.b3 @t8)) % 0.70/0.96 (define @t149 () (forall @t40 (or @t117 @t148))) % 0.70/0.96 (define @t150 () (@list @t8)) % 0.70/0.96 (define @t151 () (not (tptp.irel @t8 @t133))) % 0.70/0.96 (define @t152 () (not (tptp.irel @t8 @t134))) % 0.70/0.96 (define @t153 () (or @t117 @t152 @t142 @t151 @t140)) % 0.70/0.96 (define @t154 () (@list @t8 @t134 @t133)) % 0.70/0.96 (define @t155 () (forall @t154 @t153)) % 0.70/0.96 (define @t156 () (or @t155 @t149)) % 0.70/0.96 (define @t157 () (lambda @t74 @t156)) % 0.70/0.96 (define @t158 () (or @t117 (_ @t157 @t8))) % 0.70/0.96 (define @t159 () (forall @t40 @t158)) % 0.70/0.96 (define @t160 () (or @t120 @t159)) % 0.70/0.96 (define @t161 () (lambda @t74 @t160)) % 0.70/0.96 (define @t162 () (_ @t52 @t8)) % 0.70/0.96 (define @t163 () (forall @t40 (or @t117 @t162))) % 0.70/0.96 (define @t164 () (@list @t52 @t33)) % 0.70/0.96 (define @t165 () (_ tptp.b3 @t8)) % 0.70/0.96 (define @t166 () (or @t117 @t165)) % 0.70/0.96 (define @t167 () (_ tptp.b3 @t33)) % 0.70/0.96 (define @t168 () (lambda @t74 @t167)) % 0.70/0.96 (define @t169 () (_ @t168 @t8)) % 0.70/0.96 (define @t170 () (or @t117 @t169)) % 0.70/0.96 (define @t171 () (forall @t40 @t170)) % 0.70/0.96 (define @t172 () (or @t155 @t171)) % 0.70/0.96 (define @t173 () (lambda @t74 @t172)) % 0.70/0.96 (define @t174 () (_ @t46 tptp.b3)) % 0.70/0.96 (define @t175 () (or @t151 @t140)) % 0.70/0.96 (define @t176 () (or @t152 @t142)) % 0.70/0.96 (define @t177 () (or @t117 @t176 @t175)) % 0.70/0.96 (define @t178 () (forall @t154 @t177)) % 0.70/0.96 (define @t179 () (forall (@list @t134 @t133) @t177)) % 0.70/0.96 (define @t180 () (forall (@list @t133) @t175)) % 0.70/0.96 (define @t181 () (@var "BOUND_VARIABLE_8144" $$unsorted)) % 0.70/0.96 (define @t182 () (@list @t181)) % 0.70/0.96 (define @t183 () (forall (@list @t134) @t176)) % 0.70/0.96 (define @t184 () (@var "BOUND_VARIABLE_8152" $$unsorted)) % 0.70/0.96 (define @t185 () (@list @t184)) % 0.70/0.96 (define @t186 () (or @t117 @t183 @t180)) % 0.70/0.96 (define @t187 () (tptp.a3 @t181)) % 0.70/0.96 (define @t188 () (@list @t181)) % 0.70/0.96 (define @t189 () (forall @t188 (or (not (tptp.irel @t8 @t181)) @t187))) % 0.70/0.96 (define @t190 () (tptp.b3 @t184)) % 0.70/0.96 (define @t191 () (@list @t184)) % 0.70/0.96 (define @t192 () (forall @t191 (or (not (tptp.irel @t8 @t184)) @t190))) % 0.70/0.96 (define @t193 () (or @t117 @t192 @t189)) % 0.70/0.96 (define @t194 () (or @t192 @t189)) % 0.70/0.96 (define @t195 () (tptp.a3 @t8)) % 0.70/0.96 (define @t196 () (forall @t40 (or @t117 @t195))) % 0.70/0.96 (define @t197 () (or @t149 @t196)) % 0.70/0.96 (define @t198 () (lambda @t74 @t197)) % 0.70/0.96 (define @t199 () (or @t117 (_ @t198 @t8))) % 0.70/0.96 (define @t200 () (forall @t40 @t199)) % 0.70/0.96 (define @t201 () (or @t200 @t163)) % 0.70/0.96 (define @t202 () (lambda @t164 @t201)) % 0.70/0.96 (define @t203 () (_ @t38 @t8)) % 0.70/0.96 (define @t204 () (forall @t40 (or @t117 @t203))) % 0.70/0.96 (define @t205 () (or @t204 @t163)) % 0.70/0.96 (define @t206 () (lambda @t53 @t205)) % 0.70/0.96 (define @t207 () (_ tptp.a3 @t8)) % 0.70/0.96 (define @t208 () (or @t117 @t207)) % 0.70/0.96 (define @t209 () (_ tptp.a3 @t33)) % 0.70/0.96 (define @t210 () (lambda @t74 @t209)) % 0.70/0.96 (define @t211 () (_ @t210 @t8)) % 0.70/0.96 (define @t212 () (or @t117 @t211)) % 0.70/0.96 (define @t213 () (forall @t40 @t212)) % 0.70/0.96 (define @t214 () (or @t149 @t213)) % 0.70/0.96 (define @t215 () (lambda @t74 @t214)) % 0.70/0.96 (define @t216 () (_ @t46 tptp.a3)) % 0.70/0.96 (define @t217 () (or @t171 @t163)) % 0.70/0.96 (define @t218 () (lambda @t164 @t217)) % 0.70/0.96 (define @t219 () (_ tptp.b2 @t8)) % 0.70/0.96 (define @t220 () (or @t117 @t219)) % 0.70/0.96 (define @t221 () (_ tptp.b2 @t33)) % 0.70/0.96 (define @t222 () (lambda @t74 @t221)) % 0.70/0.96 (define @t223 () (_ @t222 @t8)) % 0.70/0.96 (define @t224 () (or @t117 @t223)) % 0.70/0.96 (define @t225 () (forall @t40 @t224)) % 0.70/0.96 (define @t226 () (not @t225)) % 0.70/0.96 (define @t227 () (or @t226 @t163)) % 0.70/0.96 (define @t228 () (lambda @t164 @t227)) % 0.70/0.96 (define @t229 () (not @t204)) % 0.70/0.96 (define @t230 () (or @t229 @t163)) % 0.70/0.96 (define @t231 () (lambda @t53 @t230)) % 0.70/0.96 (define @t232 () (_ @t46 tptp.b2)) % 0.70/0.96 (define @t233 () (not (tptp.irel @t24 @t8))) % 0.70/0.96 (define @t234 () (forall @t40 (or @t233 @t162))) % 0.70/0.96 (define @t235 () (forall @t40 (or @t233 @t203))) % 0.70/0.96 (define @t236 () (@list @t24)) % 0.70/0.96 (define @t237 () (tptp.irel @t1 @t8)) % 0.70/0.96 (define @t238 () (not @t237)) % 0.70/0.96 (define @t239 () (lambda @t4 (forall @t40 (or @t238 @t162)))) % 0.70/0.96 (define @t240 () (_ @t239 @t24)) % 0.70/0.96 (define @t241 () (or @t235 @t240)) % 0.70/0.96 (define @t242 () (lambda @t236 @t241)) % 0.70/0.96 (define @t243 () (@list @t28 @t24)) % 0.70/0.96 (define @t244 () (forall @t40 (or @t238 @t203))) % 0.70/0.96 (define @t245 () (lambda @t42 @t244)) % 0.70/0.96 (define @t246 () (lambda @t4 @t244)) % 0.70/0.96 (define @t247 () (_ @t246 @t24)) % 0.70/0.96 (define @t248 () (or @t247 @t29)) % 0.70/0.96 (define @t249 () (lambda @t243 @t248)) % 0.70/0.96 (define @t250 () (not @t10)) % 0.70/0.96 (define @t251 () (or @t250 @t39)) % 0.70/0.96 (define @t252 () (_ @t239 @t33)) % 0.70/0.96 (define @t253 () (or @t229 @t252)) % 0.70/0.96 (define @t254 () (lambda @t74 @t253)) % 0.70/0.96 (define @t255 () (_ @t34 @t33)) % 0.70/0.96 (define @t256 () (@list @t34 @t33)) % 0.70/0.96 (define @t257 () (_ @t246 @t33)) % 0.70/0.96 (define @t258 () (not @t257)) % 0.70/0.96 (define @t259 () (or @t258 @t255)) % 0.70/0.96 (define @t260 () (lambda @t256 @t259)) % 0.70/0.96 (define @t261 () (or (not (_ @t35 @t33)) @t255)) % 0.70/0.96 (define @t262 () (lambda @t36 @t261)) % 0.70/0.96 (define @t263 () (not (_ @t35 @t24))) % 0.70/0.96 (define @t264 () (lambda @t236 (or @t263 (_ @t34 @t24)))) % 0.70/0.96 (define @t265 () (lambda @t236 @t263)) % 0.70/0.96 (define @t266 () (_ @t265 @t24)) % 0.70/0.96 (define @t267 () (or @t266 @t29)) % 0.70/0.96 (define @t268 () (lambda @t243 @t267)) % 0.70/0.96 (define @t269 () (@var "BOUND_VARIABLE_9266" $$unsorted)) % 0.70/0.96 (define @t270 () (and (tptp.b3 @t269) (tptp.a4 @t269))) % 0.70/0.96 (define @t271 () (@var "BOUND_VARIABLE_9262" $$unsorted)) % 0.70/0.96 (define @t272 () (not (tptp.irel @t271 @t269))) % 0.70/0.96 (define @t273 () (@var "BOUND_VARIABLE_9264" $$unsorted)) % 0.70/0.96 (define @t274 () (and (tptp.b2 @t273) (tptp.a3 @t273))) % 0.70/0.96 (define @t275 () (not (tptp.irel @t271 @t273))) % 0.70/0.96 (define @t276 () (@var "BOUND_VARIABLE_9258" $$unsorted)) % 0.70/0.96 (define @t277 () (not (tptp.irel @t276 @t271))) % 0.70/0.96 (define @t278 () (@var "BOUND_VARIABLE_9260" $$unsorted)) % 0.70/0.96 (define @t279 () (and (tptp.b1 @t278) (tptp.a2 @t278))) % 0.70/0.96 (define @t280 () (not (tptp.irel @t276 @t278))) % 0.70/0.96 (define @t281 () (@var "BOUND_VARIABLE_9254" $$unsorted)) % 0.70/0.96 (define @t282 () (not (tptp.irel @t281 @t276))) % 0.70/0.96 (define @t283 () (@var "BOUND_VARIABLE_9256" $$unsorted)) % 0.70/0.96 (define @t284 () (and (tptp.b @t283) (tptp.a1 @t283))) % 0.70/0.96 (define @t285 () (not (tptp.irel @t281 @t283))) % 0.70/0.96 (define @t286 () (not (tptp.irel @t49 @t281))) % 0.70/0.96 (define @t287 () (@var "BOUND_VARIABLE_9248" $$unsorted)) % 0.70/0.96 (define @t288 () (tptp.a @t287)) % 0.70/0.96 (define @t289 () (not (tptp.irel @t49 @t287))) % 0.70/0.96 (define @t290 () (or @t289 @t288 @t286 @t285 @t284 @t282 @t280 @t279 @t277 @t275 @t274 @t272 @t270)) % 0.70/0.96 (define @t291 () (@list @t49 @t287 @t281 @t283 @t276 @t278 @t271 @t273 @t269)) % 0.70/0.96 (define @t292 () (forall @t291 @t290)) % 0.70/0.96 (define @t293 () (@quantifiers_skolemize @t292 8)) % 0.70/0.96 (define @t294 () (@quantifiers_skolemize @t292 7)) % 0.70/0.96 (define @t295 () (@quantifiers_skolemize @t292 6)) % 0.70/0.96 (define @t296 () (forall @t40 (or (not (tptp.irel @t295 @t8)) @t94))) % 0.70/0.96 (define @t297 () (@quantifiers_skolemize @t296 0)) % 0.70/0.96 (define @t298 () (tptp.irel @t295 @t297)) % 0.70/0.96 (define @t299 () (tptp.b2 @t297)) % 0.70/0.96 (define @t300 () (not @t298)) % 0.70/0.96 (define @t301 () (or @t300 @t299)) % 0.70/0.96 (define @t302 () (or @t286 @t285 @t284 @t282 @t280 @t279 @t277 @t275 @t274 @t272 @t270)) % 0.70/0.96 (define @t303 () (or @t289 @t288)) % 0.70/0.96 (define @t304 () (or @t303 @t302)) % 0.70/0.96 (define @t305 () (forall @t291 @t304)) % 0.70/0.96 (define @t306 () (forall (@list @t287 @t281 @t283 @t276 @t278 @t271 @t273 @t269) @t304)) % 0.70/0.96 (define @t307 () (forall (@list @t281 @t283 @t276 @t278 @t271 @t273 @t269) @t302)) % 0.70/0.96 (define @t308 () (@var "BOUND_VARIABLE_9210" $$unsorted)) % 0.70/0.96 (define @t309 () (@var "BOUND_VARIABLE_9208" $$unsorted)) % 0.70/0.96 (define @t310 () (@var "BOUND_VARIABLE_9206" $$unsorted)) % 0.70/0.96 (define @t311 () (@var "BOUND_VARIABLE_9204" $$unsorted)) % 0.70/0.96 (define @t312 () (@var "BOUND_VARIABLE_9202" $$unsorted)) % 0.70/0.96 (define @t313 () (@var "BOUND_VARIABLE_9194" $$unsorted)) % 0.70/0.96 (define @t314 () (forall (@list @t287) @t303)) % 0.70/0.96 (define @t315 () (or @t314 @t307)) % 0.70/0.96 (define @t316 () (and (tptp.b3 @t308) (tptp.a4 @t308))) % 0.70/0.96 (define @t317 () (not (tptp.irel @t310 @t308))) % 0.70/0.96 (define @t318 () (and (tptp.b2 @t309) (tptp.a3 @t309))) % 0.70/0.96 (define @t319 () (not (tptp.irel @t310 @t309))) % 0.70/0.96 (define @t320 () (not (tptp.irel @t312 @t310))) % 0.70/0.96 (define @t321 () (and (tptp.b1 @t311) (tptp.a2 @t311))) % 0.70/0.96 (define @t322 () (not (tptp.irel @t312 @t311))) % 0.70/0.96 (define @t323 () (not (tptp.irel @t8 @t312))) % 0.70/0.96 (define @t324 () (and (tptp.b @t313) (tptp.a1 @t313))) % 0.70/0.96 (define @t325 () (not (tptp.irel @t8 @t313))) % 0.70/0.96 (define @t326 () (@list @t8 @t313 @t312 @t311 @t310 @t309 @t308)) % 0.70/0.96 (define @t327 () (tptp.a @t8)) % 0.70/0.96 (define @t328 () (or (forall @t40 (or @t95 @t327)) (forall @t326 (or @t95 @t325 @t324 @t323 @t322 @t321 @t320 @t319 @t318 @t317 @t316)))) % 0.70/0.96 (define @t329 () (or @t117 @t325 @t324 @t323 @t322 @t321 @t320 @t319 @t318 @t317 @t316)) % 0.70/0.96 (define @t330 () (forall @t40 (or @t117 @t327))) % 0.70/0.96 (define @t331 () (lambda @t74 (or @t330 (forall @t326 @t329)))) % 0.70/0.96 (define @t332 () (_ @t331 @t49)) % 0.70/0.96 (define @t333 () (forall @t50 @t332)) % 0.70/0.96 (define @t334 () (or @t323 @t322 @t321 @t320 @t319 @t318 @t317 @t316)) % 0.70/0.96 (define @t335 () (or @t325 @t324)) % 0.70/0.96 (define @t336 () (or @t117 @t335 @t334)) % 0.70/0.96 (define @t337 () (forall @t326 @t336)) % 0.70/0.96 (define @t338 () (forall (@list @t313 @t312 @t311 @t310 @t309 @t308) @t336)) % 0.70/0.96 (define @t339 () (forall (@list @t312 @t311 @t310 @t309 @t308) @t334)) % 0.70/0.96 (define @t340 () (@var "BOUND_VARIABLE_9129" $$unsorted)) % 0.70/0.96 (define @t341 () (@var "BOUND_VARIABLE_9127" $$unsorted)) % 0.70/0.96 (define @t342 () (@var "BOUND_VARIABLE_9125" $$unsorted)) % 0.70/0.96 (define @t343 () (@var "BOUND_VARIABLE_9117" $$unsorted)) % 0.70/0.96 (define @t344 () (@var "BOUND_VARIABLE_9158" $$unsorted)) % 0.70/0.96 (define @t345 () (forall (@list @t313) @t335)) % 0.70/0.96 (define @t346 () (@var "BOUND_VARIABLE_9169" $$unsorted)) % 0.70/0.96 (define @t347 () (@list @t346)) % 0.70/0.96 (define @t348 () (or @t117 @t345 @t339)) % 0.70/0.96 (define @t349 () (and (tptp.b3 @t340) (tptp.a4 @t340))) % 0.70/0.96 (define @t350 () (not (tptp.irel @t342 @t340))) % 0.70/0.96 (define @t351 () (and (tptp.b2 @t341) (tptp.a3 @t341))) % 0.70/0.96 (define @t352 () (not (tptp.irel @t342 @t341))) % 0.70/0.96 (define @t353 () (not (tptp.irel @t344 @t342))) % 0.70/0.96 (define @t354 () (and (tptp.b1 @t343) (tptp.a2 @t343))) % 0.70/0.96 (define @t355 () (not (tptp.irel @t344 @t343))) % 0.70/0.96 (define @t356 () (@list @t344 @t343 @t342 @t341 @t340)) % 0.70/0.96 (define @t357 () (forall @t356 (or (not (tptp.irel @t8 @t344)) @t355 @t354 @t353 @t352 @t351 @t350 @t349))) % 0.70/0.96 (define @t358 () (and (tptp.b @t346) (tptp.a1 @t346))) % 0.70/0.96 (define @t359 () (@list @t346)) % 0.70/0.96 (define @t360 () (forall @t359 (or (not (tptp.irel @t8 @t346)) @t358))) % 0.70/0.96 (define @t361 () (or @t117 @t360 @t357)) % 0.70/0.96 (define @t362 () (or @t360 @t357)) % 0.70/0.96 (define @t363 () (not (tptp.irel @t8 @t342))) % 0.70/0.96 (define @t364 () (not (tptp.irel @t8 @t343))) % 0.70/0.96 (define @t365 () (or @t117 @t364 @t354 @t363 @t352 @t351 @t350 @t349)) % 0.70/0.96 (define @t366 () (@list @t8 @t343 @t342 @t341 @t340)) % 0.70/0.96 (define @t367 () (forall @t366 @t365)) % 0.70/0.96 (define @t368 () (tptp.a1 @t8)) % 0.70/0.96 (define @t369 () (tptp.b @t8)) % 0.70/0.96 (define @t370 () (forall @t40 (or @t117 (and @t369 @t368)))) % 0.70/0.96 (define @t371 () (or @t370 @t367)) % 0.70/0.96 (define @t372 () (lambda @t74 @t371)) % 0.70/0.96 (define @t373 () (or @t117 (_ @t372 @t8))) % 0.70/0.96 (define @t374 () (forall @t40 @t373)) % 0.70/0.96 (define @t375 () (or @t330 @t374)) % 0.70/0.96 (define @t376 () (lambda @t74 @t375)) % 0.70/0.96 (define @t377 () (or @t363 @t352 @t351 @t350 @t349)) % 0.70/0.96 (define @t378 () (or @t364 @t354)) % 0.70/0.96 (define @t379 () (or @t117 @t378 @t377)) % 0.70/0.96 (define @t380 () (forall @t366 @t379)) % 0.70/0.96 (define @t381 () (forall (@list @t343 @t342 @t341 @t340) @t379)) % 0.70/0.96 (define @t382 () (forall (@list @t342 @t341 @t340) @t377)) % 0.70/0.96 (define @t383 () (@var "BOUND_VARIABLE_9059" $$unsorted)) % 0.70/0.96 (define @t384 () (@var "BOUND_VARIABLE_9051" $$unsorted)) % 0.70/0.96 (define @t385 () (@var "BOUND_VARIABLE_9081" $$unsorted)) % 0.70/0.96 (define @t386 () (forall (@list @t343) @t378)) % 0.70/0.96 (define @t387 () (@var "BOUND_VARIABLE_9092" $$unsorted)) % 0.70/0.96 (define @t388 () (@list @t387)) % 0.70/0.96 (define @t389 () (or @t117 @t386 @t382)) % 0.70/0.96 (define @t390 () (and (tptp.b3 @t383) (tptp.a4 @t383))) % 0.70/0.96 (define @t391 () (not (tptp.irel @t385 @t383))) % 0.70/0.96 (define @t392 () (and (tptp.b2 @t384) (tptp.a3 @t384))) % 0.70/0.96 (define @t393 () (not (tptp.irel @t385 @t384))) % 0.70/0.96 (define @t394 () (@list @t385 @t384 @t383)) % 0.70/0.96 (define @t395 () (forall @t394 (or (not (tptp.irel @t8 @t385)) @t393 @t392 @t391 @t390))) % 0.70/0.96 (define @t396 () (and (tptp.b1 @t387) (tptp.a2 @t387))) % 0.70/0.96 (define @t397 () (@list @t387)) % 0.70/0.96 (define @t398 () (forall @t397 (or (not (tptp.irel @t8 @t387)) @t396))) % 0.70/0.96 (define @t399 () (or @t117 @t398 @t395)) % 0.70/0.96 (define @t400 () (or @t398 @t395)) % 0.70/0.96 (define @t401 () (not (tptp.irel @t8 @t383))) % 0.70/0.96 (define @t402 () (not (tptp.irel @t8 @t384))) % 0.70/0.96 (define @t403 () (or @t117 @t402 @t392 @t401 @t390)) % 0.70/0.96 (define @t404 () (@list @t8 @t384 @t383)) % 0.70/0.96 (define @t405 () (forall @t404 @t403)) % 0.70/0.96 (define @t406 () (tptp.a2 @t8)) % 0.70/0.96 (define @t407 () (tptp.b1 @t8)) % 0.70/0.96 (define @t408 () (forall @t40 (or @t117 (and @t407 @t406)))) % 0.70/0.96 (define @t409 () (or @t408 @t405)) % 0.70/0.96 (define @t410 () (lambda @t74 @t409)) % 0.70/0.96 (define @t411 () (or @t117 (_ @t410 @t8))) % 0.70/0.96 (define @t412 () (forall @t40 @t411)) % 0.70/0.96 (define @t413 () (or @t370 @t412)) % 0.70/0.96 (define @t414 () (lambda @t74 @t413)) % 0.70/0.96 (define @t415 () (or @t401 @t390)) % 0.70/0.96 (define @t416 () (or @t402 @t392)) % 0.70/0.96 (define @t417 () (or @t117 @t416 @t415)) % 0.70/0.96 (define @t418 () (forall @t404 @t417)) % 0.70/0.96 (define @t419 () (forall (@list @t384 @t383) @t417)) % 0.70/0.96 (define @t420 () (forall (@list @t383) @t415)) % 0.70/0.96 (define @t421 () (@var "BOUND_VARIABLE_9016" $$unsorted)) % 0.70/0.96 (define @t422 () (@list @t421)) % 0.70/0.96 (define @t423 () (forall (@list @t384) @t416)) % 0.70/0.96 (define @t424 () (@var "BOUND_VARIABLE_9026" $$unsorted)) % 0.70/0.96 (define @t425 () (@list @t424)) % 0.70/0.96 (define @t426 () (or @t117 @t423 @t420)) % 0.70/0.96 (define @t427 () (and (tptp.b3 @t421) (tptp.a4 @t421))) % 0.70/0.96 (define @t428 () (@list @t421)) % 0.70/0.96 (define @t429 () (forall @t428 (or (not (tptp.irel @t8 @t421)) @t427))) % 0.70/0.96 (define @t430 () (and (tptp.b2 @t424) (tptp.a3 @t424))) % 0.70/0.96 (define @t431 () (@list @t424)) % 0.70/0.96 (define @t432 () (forall @t431 (or (not (tptp.irel @t8 @t424)) @t430))) % 0.70/0.96 (define @t433 () (or @t117 @t432 @t429)) % 0.70/0.96 (define @t434 () (or @t432 @t429)) % 0.70/0.96 (define @t435 () (tptp.a4 @t8)) % 0.70/0.96 (define @t436 () (forall @t40 (or @t117 (and @t148 @t435)))) % 0.70/0.96 (define @t437 () (forall @t40 (or @t117 (and @t94 @t195)))) % 0.70/0.96 (define @t438 () (or @t437 @t436)) % 0.70/0.96 (define @t439 () (lambda @t74 @t438)) % 0.70/0.96 (define @t440 () (or @t117 (_ @t439 @t8))) % 0.70/0.96 (define @t441 () (forall @t40 @t440)) % 0.70/0.96 (define @t442 () (or @t408 @t441)) % 0.70/0.96 (define @t443 () (lambda @t74 @t442)) % 0.70/0.96 (define @t444 () (_ tptp.a4 @t8)) % 0.70/0.96 (define @t445 () (and @t165 @t444)) % 0.70/0.96 (define @t446 () (or @t117 @t445)) % 0.70/0.96 (define @t447 () (lambda @t74 (and @t167 @t73))) % 0.70/0.96 (define @t448 () (_ @t447 @t8)) % 0.70/0.96 (define @t449 () (or @t117 @t448)) % 0.70/0.96 (define @t450 () (forall @t40 @t449)) % 0.70/0.96 (define @t451 () (or @t437 @t450)) % 0.70/0.96 (define @t452 () (lambda @t74 @t451)) % 0.70/0.96 (define @t453 () (_ @t75 @t33)) % 0.70/0.96 (define @t454 () (and @t167 @t453)) % 0.70/0.96 (define @t455 () (lambda @t74 @t454)) % 0.70/0.96 (define @t456 () (_ @t52 @t33)) % 0.70/0.96 (define @t457 () (_ @t168 @t33)) % 0.70/0.96 (define @t458 () (and @t457 @t456)) % 0.70/0.96 (define @t459 () (lambda @t164 @t458)) % 0.70/0.96 (define @t460 () (and @t44 @t456)) % 0.70/0.96 (define @t461 () (lambda @t53 @t460)) % 0.70/0.96 (define @t462 () (and @t219 @t207)) % 0.70/0.96 (define @t463 () (or @t117 @t462)) % 0.70/0.96 (define @t464 () (lambda @t74 (and @t221 @t209))) % 0.70/0.96 (define @t465 () (_ @t464 @t8)) % 0.70/0.96 (define @t466 () (or @t117 @t465)) % 0.70/0.96 (define @t467 () (forall @t40 @t466)) % 0.70/0.96 (define @t468 () (or @t467 @t163)) % 0.70/0.96 (define @t469 () (lambda @t164 @t468)) % 0.70/0.96 (define @t470 () (_ @t210 @t33)) % 0.70/0.96 (define @t471 () (and @t221 @t470)) % 0.70/0.96 (define @t472 () (lambda @t74 @t471)) % 0.70/0.96 (define @t473 () (_ @t222 @t33)) % 0.70/0.96 (define @t474 () (and @t473 @t456)) % 0.70/0.96 (define @t475 () (lambda @t164 @t474)) % 0.70/0.96 (define @t476 () (_ tptp.a2 @t8)) % 0.70/0.96 (define @t477 () (_ tptp.b1 @t8)) % 0.70/0.96 (define @t478 () (and @t477 @t476)) % 0.70/0.96 (define @t479 () (or @t117 @t478)) % 0.70/0.96 (define @t480 () (_ tptp.a2 @t33)) % 0.70/0.96 (define @t481 () (_ tptp.b1 @t33)) % 0.70/0.96 (define @t482 () (lambda @t74 (and @t481 @t480))) % 0.70/0.96 (define @t483 () (_ @t482 @t8)) % 0.70/0.96 (define @t484 () (or @t117 @t483)) % 0.70/0.96 (define @t485 () (forall @t40 @t484)) % 0.70/0.96 (define @t486 () (or @t485 @t163)) % 0.70/0.96 (define @t487 () (lambda @t164 @t486)) % 0.70/0.96 (define @t488 () (lambda @t74 @t480)) % 0.70/0.96 (define @t489 () (_ @t488 @t33)) % 0.70/0.96 (define @t490 () (and @t481 @t489)) % 0.70/0.96 (define @t491 () (lambda @t74 @t490)) % 0.70/0.96 (define @t492 () (_ @t46 tptp.a2)) % 0.70/0.96 (define @t493 () (lambda @t74 @t481)) % 0.70/0.96 (define @t494 () (_ @t493 @t33)) % 0.70/0.96 (define @t495 () (and @t494 @t456)) % 0.70/0.96 (define @t496 () (lambda @t164 @t495)) % 0.70/0.96 (define @t497 () (_ @t46 tptp.b1)) % 0.70/0.96 (define @t498 () (_ tptp.a1 @t8)) % 0.70/0.96 (define @t499 () (_ tptp.b @t8)) % 0.70/0.96 (define @t500 () (and @t499 @t498)) % 0.70/0.96 (define @t501 () (or @t117 @t500)) % 0.70/0.96 (define @t502 () (_ tptp.a1 @t33)) % 0.70/0.96 (define @t503 () (_ tptp.b @t33)) % 0.70/0.96 (define @t504 () (lambda @t74 (and @t503 @t502))) % 0.70/0.96 (define @t505 () (_ @t504 @t8)) % 0.70/0.96 (define @t506 () (or @t117 @t505)) % 0.70/0.96 (define @t507 () (forall @t40 @t506)) % 0.70/0.96 (define @t508 () (or @t507 @t163)) % 0.70/0.96 (define @t509 () (lambda @t164 @t508)) % 0.70/0.96 (define @t510 () (lambda @t74 @t502)) % 0.70/0.96 (define @t511 () (_ @t510 @t33)) % 0.70/0.96 (define @t512 () (and @t503 @t511)) % 0.70/0.96 (define @t513 () (lambda @t74 @t512)) % 0.70/0.96 (define @t514 () (_ @t46 tptp.a1)) % 0.70/0.96 (define @t515 () (lambda @t74 @t503)) % 0.70/0.96 (define @t516 () (_ @t515 @t33)) % 0.70/0.96 (define @t517 () (and @t516 @t456)) % 0.70/0.96 (define @t518 () (lambda @t164 @t517)) % 0.70/0.96 (define @t519 () (_ @t46 tptp.b)) % 0.70/0.96 (define @t520 () (_ tptp.a @t8)) % 0.70/0.96 (define @t521 () (or @t117 @t520)) % 0.70/0.96 (define @t522 () (lambda @t74 (_ tptp.a @t33))) % 0.70/0.96 (define @t523 () (_ @t522 @t8)) % 0.70/0.96 (define @t524 () (or @t117 @t523)) % 0.70/0.96 (define @t525 () (forall @t40 @t524)) % 0.70/0.96 (define @t526 () (or @t525 @t163)) % 0.70/0.96 (define @t527 () (lambda @t164 @t526)) % 0.70/0.96 (define @t528 () (_ @t46 tptp.a)) % 0.70/0.96 (define @t529 () (_ @t38 @t24)) % 0.70/0.96 (define @t530 () (lambda @t236 (and @t529 (_ @t52 @t24)))) % 0.70/0.96 (define @t531 () (lambda @t243 (and @t529 @t29))) % 0.70/0.96 (define @t532 () (@quantifiers_skolemize @t292 4)) % 0.70/0.96 (define @t533 () (tptp.irel @t532 @t295)) % 0.70/0.96 (define @t534 () (tptp.a4 @t293)) % 0.70/0.96 (define @t535 () (tptp.b3 @t293)) % 0.70/0.96 (define @t536 () (and @t535 @t534)) % 0.70/0.96 (define @t537 () (tptp.irel @t295 @t293)) % 0.70/0.96 (define @t538 () (not @t537)) % 0.70/0.96 (define @t539 () (tptp.a3 @t294)) % 0.70/0.96 (define @t540 () (tptp.b2 @t294)) % 0.70/0.96 (define @t541 () (and @t540 @t539)) % 0.70/0.96 (define @t542 () (tptp.irel @t295 @t294)) % 0.70/0.96 (define @t543 () (not @t542)) % 0.70/0.96 (define @t544 () (not @t533)) % 0.70/0.96 (define @t545 () (@quantifiers_skolemize @t292 5)) % 0.70/0.96 (define @t546 () (tptp.a2 @t545)) % 0.70/0.96 (define @t547 () (tptp.b1 @t545)) % 0.70/0.96 (define @t548 () (and @t547 @t546)) % 0.70/0.96 (define @t549 () (tptp.irel @t532 @t545)) % 0.70/0.96 (define @t550 () (not @t549)) % 0.70/0.96 (define @t551 () (@quantifiers_skolemize @t292 2)) % 0.70/0.96 (define @t552 () (tptp.irel @t551 @t532)) % 0.70/0.96 (define @t553 () (not @t552)) % 0.70/0.96 (define @t554 () (@quantifiers_skolemize @t292 3)) % 0.70/0.96 (define @t555 () (tptp.a1 @t554)) % 0.70/0.96 (define @t556 () (tptp.b @t554)) % 0.70/0.96 (define @t557 () (and @t556 @t555)) % 0.70/0.96 (define @t558 () (tptp.irel @t551 @t554)) % 0.70/0.96 (define @t559 () (not @t558)) % 0.70/0.96 (define @t560 () (@quantifiers_skolemize @t292 0)) % 0.70/0.96 (define @t561 () (tptp.irel @t560 @t551)) % 0.70/0.96 (define @t562 () (not @t561)) % 0.70/0.96 (define @t563 () (@quantifiers_skolemize @t292 1)) % 0.70/0.96 (define @t564 () (tptp.a @t563)) % 0.70/0.96 (define @t565 () (tptp.irel @t560 @t563)) % 0.70/0.96 (define @t566 () (not @t565)) % 0.70/0.96 (define @t567 () (or @t566 @t564 @t562 @t559 @t557 @t553 @t550 @t548 @t544 @t543 @t541 @t538 @t536)) % 0.70/0.96 (define @t568 () (@list true)) % 0.70/0.96 (define @t569 () (@list @t567)) % 0.70/0.96 (define @t570 () (tptp.irel @t1 @t6)) % 0.70/0.96 (define @t571 () (tptp.irel @t8 @t6)) % 0.70/0.96 (define @t572 () (not @t9)) % 0.70/0.96 (define @t573 () (or @t250 @t572 @t7)) % 0.70/0.96 (define @t574 () (tptp.irel @t532 @t297)) % 0.70/0.96 (define @t575 () (or @t544 @t300 @t574)) % 0.70/0.96 (define @t576 () (not (tptp.irel @t532 @t8))) % 0.70/0.96 (define @t577 () (forall @t40 (or @t576 @t94))) % 0.70/0.96 (define @t578 () (@quantifiers_skolemize @t577 0)) % 0.70/0.96 (define @t579 () (tptp.irel @t532 @t578)) % 0.70/0.96 (define @t580 () (tptp.b2 @t578)) % 0.70/0.96 (define @t581 () (not @t579)) % 0.70/0.96 (define @t582 () (or @t581 @t580)) % 0.70/0.96 (define @t583 () (tptp.irel @t1 @t1)) % 0.70/0.96 (define @t584 () (not (tptp.irel @t551 @t8))) % 0.70/0.96 (define @t585 () (forall @t40 (or @t584 @t407))) % 0.70/0.96 (define @t586 () (@quantifiers_skolemize @t585 0)) % 0.70/0.96 (define @t587 () (tptp.irel @t551 @t586)) % 0.70/0.96 (define @t588 () (tptp.b1 @t586)) % 0.70/0.96 (define @t589 () (not @t587)) % 0.70/0.96 (define @t590 () (or @t589 @t588)) % 0.70/0.96 (define @t591 () (tptp.irel @t551 @t545)) % 0.70/0.96 (define @t592 () (or @t553 @t550 @t591)) % 0.70/0.96 (define @t593 () (@list false false false)) % 0.70/0.96 (define @t594 () (@var "BOUND_VARIABLE_8863" $$unsorted)) % 0.70/0.96 (define @t595 () (tptp.b @t594)) % 0.70/0.96 (define @t596 () (not (tptp.irel @t49 @t594))) % 0.70/0.96 (define @t597 () (@var "BOUND_VARIABLE_8852" $$unsorted)) % 0.70/0.96 (define @t598 () (tptp.a @t597)) % 0.70/0.96 (define @t599 () (@var "BOUND_VARIABLE_8848" $$unsorted)) % 0.70/0.96 (define @t600 () (not (tptp.irel @t599 @t597))) % 0.70/0.96 (define @t601 () (@var "BOUND_VARIABLE_8850" $$unsorted)) % 0.70/0.96 (define @t602 () (tptp.b @t601)) % 0.70/0.96 (define @t603 () (not (tptp.irel @t599 @t601))) % 0.70/0.96 (define @t604 () (not (tptp.irel @t49 @t599))) % 0.70/0.96 (define @t605 () (or @t596 @t595)) % 0.70/0.96 (define @t606 () (or @t604 @t603 @t602 @t600 @t598)) % 0.70/0.96 (define @t607 () (or @t606 @t605)) % 0.70/0.96 (define @t608 () (forall (@list @t49 @t599 @t601 @t597 @t594) @t607)) % 0.70/0.96 (define @t609 () (forall (@list @t599 @t601 @t597 @t594) @t607)) % 0.70/0.96 (define @t610 () (forall (@list @t594) @t605)) % 0.70/0.96 (define @t611 () (forall (@list @t599 @t601 @t597) @t606)) % 0.70/0.96 (define @t612 () (@var "BOUND_VARIABLE_8822" $$unsorted)) % 0.70/0.96 (define @t613 () (@var "BOUND_VARIABLE_8816" $$unsorted)) % 0.70/0.96 (define @t614 () (or @t611 @t610)) % 0.70/0.96 (define @t615 () (forall @t40 (or @t95 @t369))) % 0.70/0.96 (define @t616 () (tptp.a @t612)) % 0.70/0.96 (define @t617 () (not (tptp.irel @t8 @t612))) % 0.70/0.96 (define @t618 () (tptp.b @t613)) % 0.70/0.96 (define @t619 () (not (tptp.irel @t8 @t613))) % 0.70/0.96 (define @t620 () (@list @t8 @t613 @t612)) % 0.70/0.96 (define @t621 () (or (forall @t620 (or @t95 @t619 @t618 @t617 @t616)) @t615)) % 0.70/0.96 (define @t622 () (forall @t40 (or @t117 @t369))) % 0.70/0.96 (define @t623 () (or @t117 @t619 @t618 @t617 @t616)) % 0.70/0.96 (define @t624 () (forall @t620 @t623)) % 0.70/0.96 (define @t625 () (lambda @t74 (or @t624 @t622))) % 0.70/0.96 (define @t626 () (_ @t625 @t49)) % 0.70/0.96 (define @t627 () (forall @t50 @t626)) % 0.70/0.96 (define @t628 () (or @t117 @t499)) % 0.70/0.96 (define @t629 () (_ @t515 @t8)) % 0.70/0.96 (define @t630 () (or @t117 @t629)) % 0.70/0.96 (define @t631 () (forall @t40 @t630)) % 0.70/0.96 (define @t632 () (or @t624 @t631)) % 0.70/0.96 (define @t633 () (lambda @t74 @t632)) % 0.70/0.96 (define @t634 () (or @t617 @t616)) % 0.70/0.96 (define @t635 () (or @t619 @t618)) % 0.70/0.96 (define @t636 () (or @t117 @t635 @t634)) % 0.70/0.96 (define @t637 () (forall @t620 @t636)) % 0.70/0.96 (define @t638 () (forall (@list @t613 @t612) @t636)) % 0.70/0.96 (define @t639 () (forall (@list @t612) @t634)) % 0.70/0.96 (define @t640 () (@var "BOUND_VARIABLE_8785" $$unsorted)) % 0.70/0.96 (define @t641 () (@list @t640)) % 0.70/0.96 (define @t642 () (forall (@list @t613) @t635)) % 0.70/0.96 (define @t643 () (@var "BOUND_VARIABLE_8793" $$unsorted)) % 0.70/0.96 (define @t644 () (@list @t643)) % 0.70/0.96 (define @t645 () (or @t117 @t642 @t639)) % 0.70/0.96 (define @t646 () (tptp.a @t640)) % 0.70/0.96 (define @t647 () (@list @t640)) % 0.70/0.96 (define @t648 () (forall @t647 (or (not (tptp.irel @t8 @t640)) @t646))) % 0.70/0.96 (define @t649 () (tptp.b @t643)) % 0.70/0.96 (define @t650 () (@list @t643)) % 0.70/0.96 (define @t651 () (forall @t650 (or (not (tptp.irel @t8 @t643)) @t649))) % 0.70/0.96 (define @t652 () (or @t117 @t651 @t648)) % 0.70/0.96 (define @t653 () (or @t651 @t648)) % 0.70/0.96 (define @t654 () (or @t622 @t330)) % 0.70/0.96 (define @t655 () (lambda @t74 @t654)) % 0.70/0.96 (define @t656 () (or @t117 (_ @t655 @t8))) % 0.70/0.96 (define @t657 () (forall @t40 @t656)) % 0.70/0.96 (define @t658 () (or @t657 @t163)) % 0.70/0.96 (define @t659 () (lambda @t164 @t658)) % 0.70/0.96 (define @t660 () (or @t622 @t525)) % 0.70/0.96 (define @t661 () (lambda @t74 @t660)) % 0.70/0.96 (define @t662 () (or @t631 @t163)) % 0.70/0.96 (define @t663 () (lambda @t164 @t662)) % 0.70/0.96 (define @t664 () (tptp.irel @t560 @t554)) % 0.70/0.96 (define @t665 () (or @t562 @t559 @t664)) % 0.70/0.96 (define @t666 () (not @t664)) % 0.70/0.96 (define @t667 () (tptp.irel @t560 @t560)) % 0.70/0.96 (define @t668 () (not @t667)) % 0.70/0.96 (define @t669 () (or @t668 @t666 @t556 @t566 @t564 @t666 @t556)) % 0.70/0.96 (define @t670 () (@list true false)) % 0.70/0.96 (define @t671 () (forall @t40 (or @t584 @t369))) % 0.70/0.96 (define @t672 () (@quantifiers_skolemize @t671 0)) % 0.70/0.96 (define @t673 () (tptp.irel @t551 @t672)) % 0.70/0.96 (define @t674 () (tptp.b @t672)) % 0.70/0.96 (define @t675 () (not @t673)) % 0.70/0.96 (define @t676 () (or @t675 @t674)) % 0.70/0.96 (define @t677 () (tptp.irel @t560 @t672)) % 0.70/0.96 (define @t678 () (or @t562 @t675 @t677)) % 0.70/0.96 (define @t679 () (forall @t40 (or (not (tptp.irel @t560 @t8)) @t369))) % 0.70/0.96 (define @t680 () (@quantifiers_skolemize @t679 0)) % 0.70/0.96 (define @t681 () (tptp.irel @t560 @t680)) % 0.70/0.96 (define @t682 () (tptp.b @t680)) % 0.70/0.96 (define @t683 () (not @t681)) % 0.70/0.96 (define @t684 () (or @t683 @t682)) % 0.70/0.96 (define @t685 () (or @t668 @t683 @t682 @t566 @t564 @t683 @t682)) % 0.70/0.96 (define @t686 () (not @t684)) % 0.70/0.96 (define @t687 () (not @t679)) % 0.70/0.96 (define @t688 () (@list false)) % 0.70/0.96 (define @t689 () (not @t677)) % 0.70/0.96 (define @t690 () (or @t689 @t674)) % 0.70/0.96 (define @t691 () (@list false false false false true false)) % 0.70/0.96 (define @t692 () (not @t676)) % 0.70/0.96 (define @t693 () (not @t671)) % 0.70/0.96 (define @t694 () (@var "BOUND_VARIABLE_8729" $$unsorted)) % 0.70/0.96 (define @t695 () (tptp.b1 @t694)) % 0.70/0.96 (define @t696 () (@var "BOUND_VARIABLE_8721" $$unsorted)) % 0.70/0.96 (define @t697 () (not (tptp.irel @t696 @t694))) % 0.70/0.96 (define @t698 () (@var "BOUND_VARIABLE_8727" $$unsorted)) % 0.70/0.96 (define @t699 () (tptp.a1 @t698)) % 0.70/0.96 (define @t700 () (@var "BOUND_VARIABLE_8723" $$unsorted)) % 0.70/0.96 (define @t701 () (not (tptp.irel @t700 @t698))) % 0.70/0.96 (define @t702 () (@var "BOUND_VARIABLE_8725" $$unsorted)) % 0.70/0.96 (define @t703 () (tptp.b1 @t702)) % 0.70/0.96 (define @t704 () (not (tptp.irel @t700 @t702))) % 0.70/0.96 (define @t705 () (not (tptp.irel @t696 @t700))) % 0.70/0.96 (define @t706 () (not (tptp.irel @t49 @t696))) % 0.70/0.96 (define @t707 () (not @t615)) % 0.70/0.96 (define @t708 () (or @t706 @t705 @t704 @t703 @t701 @t699 @t697 @t695)) % 0.70/0.96 (define @t709 () (or @t707 @t708)) % 0.70/0.96 (define @t710 () (forall (@list @t49 @t696 @t700 @t702 @t698 @t694) @t709)) % 0.70/0.96 (define @t711 () (@list @t696 @t700 @t702 @t698 @t694)) % 0.70/0.96 (define @t712 () (forall @t711 @t709)) % 0.70/0.96 (define @t713 () (forall @t711 @t708)) % 0.70/0.96 (define @t714 () (@var "BOUND_VARIABLE_8698" $$unsorted)) % 0.70/0.96 (define @t715 () (@var "BOUND_VARIABLE_8687" $$unsorted)) % 0.70/0.96 (define @t716 () (@var "BOUND_VARIABLE_8685" $$unsorted)) % 0.70/0.96 (define @t717 () (@var "BOUND_VARIABLE_8683" $$unsorted)) % 0.70/0.96 (define @t718 () (or @t707 @t713)) % 0.70/0.96 (define @t719 () (tptp.b1 @t714)) % 0.70/0.96 (define @t720 () (not (tptp.irel @t8 @t714))) % 0.70/0.96 (define @t721 () (tptp.a1 @t715)) % 0.70/0.96 (define @t722 () (not (tptp.irel @t717 @t715))) % 0.70/0.96 (define @t723 () (tptp.b1 @t716)) % 0.70/0.96 (define @t724 () (not (tptp.irel @t717 @t716))) % 0.70/0.96 (define @t725 () (not (tptp.irel @t8 @t717))) % 0.70/0.96 (define @t726 () (@list @t8 @t717 @t716 @t715 @t714)) % 0.70/0.96 (define @t727 () (or @t707 (forall @t726 (or @t95 @t725 @t724 @t723 @t722 @t721 @t720 @t719)))) % 0.70/0.96 (define @t728 () (or @t117 @t725 @t724 @t723 @t722 @t721 @t720 @t719)) % 0.70/0.96 (define @t729 () (not @t622)) % 0.70/0.96 (define @t730 () (lambda @t74 (or @t729 (forall @t726 @t728)))) % 0.70/0.96 (define @t731 () (_ @t730 @t49)) % 0.70/0.96 (define @t732 () (forall @t50 @t731)) % 0.70/0.96 (define @t733 () (or @t720 @t719)) % 0.70/0.96 (define @t734 () (or @t725 @t724 @t723 @t722 @t721)) % 0.70/0.96 (define @t735 () (or @t117 @t734 @t733)) % 0.70/0.96 (define @t736 () (forall @t726 @t735)) % 0.70/0.96 (define @t737 () (forall (@list @t717 @t716 @t715 @t714) @t735)) % 0.70/0.96 (define @t738 () (forall (@list @t714) @t733)) % 0.70/0.96 (define @t739 () (@var "BOUND_VARIABLE_8649" $$unsorted)) % 0.70/0.96 (define @t740 () (@list @t739)) % 0.70/0.96 (define @t741 () (forall (@list @t717 @t716 @t715) @t734)) % 0.70/0.96 (define @t742 () (@var "BOUND_VARIABLE_8623" $$unsorted)) % 0.70/0.96 (define @t743 () (@var "BOUND_VARIABLE_8617" $$unsorted)) % 0.70/0.96 (define @t744 () (@var "BOUND_VARIABLE_8657" $$unsorted)) % 0.70/0.96 (define @t745 () (or @t117 @t741 @t738)) % 0.70/0.96 (define @t746 () (tptp.b1 @t739)) % 0.70/0.96 (define @t747 () (@list @t739)) % 0.70/0.96 (define @t748 () (forall @t747 (or (not (tptp.irel @t8 @t739)) @t746))) % 0.70/0.96 (define @t749 () (tptp.a1 @t742)) % 0.70/0.96 (define @t750 () (not (tptp.irel @t744 @t742))) % 0.70/0.96 (define @t751 () (tptp.b1 @t743)) % 0.70/0.96 (define @t752 () (not (tptp.irel @t744 @t743))) % 0.70/0.96 (define @t753 () (@list @t744 @t743 @t742)) % 0.70/0.96 (define @t754 () (forall @t753 (or (not (tptp.irel @t8 @t744)) @t752 @t751 @t750 @t749))) % 0.70/0.96 (define @t755 () (or @t117 @t754 @t748)) % 0.70/0.96 (define @t756 () (or @t754 @t748)) % 0.70/0.96 (define @t757 () (forall @t40 (or @t117 @t407))) % 0.70/0.96 (define @t758 () (not (tptp.irel @t8 @t742))) % 0.70/0.96 (define @t759 () (not (tptp.irel @t8 @t743))) % 0.70/0.96 (define @t760 () (or @t117 @t759 @t751 @t758 @t749)) % 0.70/0.96 (define @t761 () (@list @t8 @t743 @t742)) % 0.70/0.96 (define @t762 () (forall @t761 @t760)) % 0.70/0.96 (define @t763 () (or @t762 @t757)) % 0.70/0.96 (define @t764 () (lambda @t74 @t763)) % 0.70/0.96 (define @t765 () (or @t117 (_ @t764 @t8))) % 0.70/0.96 (define @t766 () (forall @t40 @t765)) % 0.70/0.96 (define @t767 () (or @t729 @t766)) % 0.70/0.96 (define @t768 () (lambda @t74 @t767)) % 0.70/0.96 (define @t769 () (or @t117 @t477)) % 0.70/0.96 (define @t770 () (_ @t493 @t8)) % 0.70/0.96 (define @t771 () (or @t117 @t770)) % 0.70/0.96 (define @t772 () (forall @t40 @t771)) % 0.70/0.96 (define @t773 () (or @t762 @t772)) % 0.70/0.96 (define @t774 () (lambda @t74 @t773)) % 0.70/0.96 (define @t775 () (or @t758 @t749)) % 0.70/0.96 (define @t776 () (or @t759 @t751)) % 0.70/0.96 (define @t777 () (or @t117 @t776 @t775)) % 0.70/0.96 (define @t778 () (forall @t761 @t777)) % 0.70/0.96 (define @t779 () (forall (@list @t743 @t742) @t777)) % 0.70/0.96 (define @t780 () (forall (@list @t742) @t775)) % 0.70/0.96 (define @t781 () (@var "BOUND_VARIABLE_8586" $$unsorted)) % 0.70/0.96 (define @t782 () (@list @t781)) % 0.70/0.96 (define @t783 () (forall (@list @t743) @t776)) % 0.70/0.96 (define @t784 () (@var "BOUND_VARIABLE_8594" $$unsorted)) % 0.70/0.96 (define @t785 () (@list @t784)) % 0.70/0.96 (define @t786 () (or @t117 @t783 @t780)) % 0.70/0.96 (define @t787 () (tptp.a1 @t781)) % 0.70/0.96 (define @t788 () (@list @t781)) % 0.70/0.96 (define @t789 () (forall @t788 (or (not (tptp.irel @t8 @t781)) @t787))) % 0.70/0.96 (define @t790 () (tptp.b1 @t784)) % 0.70/0.96 (define @t791 () (@list @t784)) % 0.70/0.96 (define @t792 () (forall @t791 (or (not (tptp.irel @t8 @t784)) @t790))) % 0.70/0.96 (define @t793 () (or @t117 @t792 @t789)) % 0.70/0.96 (define @t794 () (or @t792 @t789)) % 0.70/0.96 (define @t795 () (forall @t40 (or @t117 @t368))) % 0.70/0.96 (define @t796 () (or @t757 @t795)) % 0.70/0.96 (define @t797 () (lambda @t74 @t796)) % 0.70/0.96 (define @t798 () (or @t117 (_ @t797 @t8))) % 0.70/0.96 (define @t799 () (forall @t40 @t798)) % 0.70/0.96 (define @t800 () (or @t799 @t163)) % 0.70/0.96 (define @t801 () (lambda @t164 @t800)) % 0.70/0.96 (define @t802 () (or @t117 @t498)) % 0.70/0.96 (define @t803 () (_ @t510 @t8)) % 0.70/0.96 (define @t804 () (or @t117 @t803)) % 0.70/0.96 (define @t805 () (forall @t40 @t804)) % 0.70/0.96 (define @t806 () (or @t757 @t805)) % 0.70/0.96 (define @t807 () (lambda @t74 @t806)) % 0.70/0.96 (define @t808 () (or @t772 @t163)) % 0.70/0.96 (define @t809 () (lambda @t164 @t808)) % 0.70/0.96 (define @t810 () (not @t631)) % 0.70/0.96 (define @t811 () (or @t810 @t163)) % 0.70/0.96 (define @t812 () (lambda @t164 @t811)) % 0.70/0.96 (define @t813 () (not @t591)) % 0.70/0.96 (define @t814 () (tptp.irel @t551 @t551)) % 0.70/0.96 (define @t815 () (not @t814)) % 0.70/0.96 (define @t816 () (or @t693 @t815 @t815 @t813 @t547 @t559 @t555 @t589 @t588)) % 0.70/0.96 (define @t817 () (@list false false true false false false true false)) % 0.70/0.96 (define @t818 () (not @t590)) % 0.70/0.96 (define @t819 () (not @t585)) % 0.70/0.96 (define @t820 () (or @t813 @t547)) % 0.70/0.96 (define @t821 () (forall @t40 (or @t576 @t407))) % 0.70/0.96 (define @t822 () (@quantifiers_skolemize @t821 0)) % 0.70/0.96 (define @t823 () (tptp.irel @t532 @t822)) % 0.70/0.96 (define @t824 () (tptp.b1 @t822)) % 0.70/0.96 (define @t825 () (not @t823)) % 0.70/0.96 (define @t826 () (or @t825 @t824)) % 0.70/0.96 (define @t827 () (tptp.irel @t551 @t822)) % 0.70/0.96 (define @t828 () (or @t553 @t825 @t827)) % 0.70/0.96 (define @t829 () (or @t687 @t562 @t815 @t589 @t588 @t559 @t555 @t589 @t588)) % 0.70/0.96 (define @t830 () (not @t827)) % 0.70/0.96 (define @t831 () (or @t830 @t824)) % 0.70/0.96 (define @t832 () (not @t826)) % 0.70/0.96 (define @t833 () (not @t821)) % 0.70/0.96 (define @t834 () (@var "BOUND_VARIABLE_8509" $$unsorted)) % 0.70/0.96 (define @t835 () (tptp.b2 @t834)) % 0.70/0.96 (define @t836 () (@var "BOUND_VARIABLE_8501" $$unsorted)) % 0.70/0.96 (define @t837 () (not (tptp.irel @t836 @t834))) % 0.70/0.96 (define @t838 () (@var "BOUND_VARIABLE_8507" $$unsorted)) % 0.70/0.96 (define @t839 () (tptp.a2 @t838)) % 0.70/0.96 (define @t840 () (@var "BOUND_VARIABLE_8503" $$unsorted)) % 0.70/0.96 (define @t841 () (not (tptp.irel @t840 @t838))) % 0.70/0.96 (define @t842 () (@var "BOUND_VARIABLE_8505" $$unsorted)) % 0.70/0.96 (define @t843 () (tptp.b2 @t842)) % 0.70/0.96 (define @t844 () (not (tptp.irel @t840 @t842))) % 0.70/0.96 (define @t845 () (not (tptp.irel @t836 @t840))) % 0.70/0.96 (define @t846 () (not (tptp.irel @t49 @t836))) % 0.70/0.96 (define @t847 () (not (forall @t40 (or @t95 @t407)))) % 0.70/0.96 (define @t848 () (or @t846 @t845 @t844 @t843 @t841 @t839 @t837 @t835)) % 0.70/0.96 (define @t849 () (or @t847 @t848)) % 0.70/0.96 (define @t850 () (forall (@list @t49 @t836 @t840 @t842 @t838 @t834) @t849)) % 0.70/0.96 (define @t851 () (@list @t836 @t840 @t842 @t838 @t834)) % 0.70/0.96 (define @t852 () (forall @t851 @t849)) % 0.70/0.96 (define @t853 () (forall @t851 @t848)) % 0.70/0.96 (define @t854 () (@var "BOUND_VARIABLE_8478" $$unsorted)) % 0.70/0.96 (define @t855 () (@var "BOUND_VARIABLE_8467" $$unsorted)) % 0.70/0.96 (define @t856 () (@var "BOUND_VARIABLE_8465" $$unsorted)) % 0.70/0.96 (define @t857 () (@var "BOUND_VARIABLE_8463" $$unsorted)) % 0.70/0.96 (define @t858 () (or @t847 @t853)) % 0.70/0.96 (define @t859 () (tptp.b2 @t854)) % 0.70/0.96 (define @t860 () (not (tptp.irel @t8 @t854))) % 0.70/0.96 (define @t861 () (tptp.a2 @t855)) % 0.70/0.96 (define @t862 () (not (tptp.irel @t857 @t855))) % 0.70/0.96 (define @t863 () (tptp.b2 @t856)) % 0.70/0.96 (define @t864 () (not (tptp.irel @t857 @t856))) % 0.70/0.96 (define @t865 () (not (tptp.irel @t8 @t857))) % 0.70/0.96 (define @t866 () (@list @t8 @t857 @t856 @t855 @t854)) % 0.70/0.96 (define @t867 () (or @t847 (forall @t866 (or @t95 @t865 @t864 @t863 @t862 @t861 @t860 @t859)))) % 0.70/0.96 (define @t868 () (or @t117 @t865 @t864 @t863 @t862 @t861 @t860 @t859)) % 0.70/0.96 (define @t869 () (not @t757)) % 0.70/0.96 (define @t870 () (lambda @t74 (or @t869 (forall @t866 @t868)))) % 0.70/0.96 (define @t871 () (_ @t870 @t49)) % 0.70/0.96 (define @t872 () (forall @t50 @t871)) % 0.70/0.96 (define @t873 () (or @t860 @t859)) % 0.70/0.96 (define @t874 () (or @t865 @t864 @t863 @t862 @t861)) % 0.70/0.96 (define @t875 () (or @t117 @t874 @t873)) % 0.70/0.96 (define @t876 () (forall @t866 @t875)) % 0.70/0.96 (define @t877 () (forall (@list @t857 @t856 @t855 @t854) @t875)) % 0.70/0.96 (define @t878 () (forall (@list @t854) @t873)) % 0.70/0.96 (define @t879 () (@var "BOUND_VARIABLE_8429" $$unsorted)) % 0.70/0.96 (define @t880 () (@list @t879)) % 0.70/0.96 (define @t881 () (forall (@list @t857 @t856 @t855) @t874)) % 0.70/0.96 (define @t882 () (@var "BOUND_VARIABLE_8403" $$unsorted)) % 0.70/0.96 (define @t883 () (@var "BOUND_VARIABLE_8397" $$unsorted)) % 0.70/0.96 (define @t884 () (@var "BOUND_VARIABLE_8437" $$unsorted)) % 0.70/0.96 (define @t885 () (or @t117 @t881 @t878)) % 0.70/0.96 (define @t886 () (tptp.b2 @t879)) % 0.70/0.96 (define @t887 () (@list @t879)) % 0.70/0.96 (define @t888 () (forall @t887 (or (not (tptp.irel @t8 @t879)) @t886))) % 0.70/0.96 (define @t889 () (tptp.a2 @t882)) % 0.70/0.96 (define @t890 () (not (tptp.irel @t884 @t882))) % 0.70/0.96 (define @t891 () (tptp.b2 @t883)) % 0.70/0.96 (define @t892 () (not (tptp.irel @t884 @t883))) % 0.70/0.96 (define @t893 () (@list @t884 @t883 @t882)) % 0.70/0.96 (define @t894 () (forall @t893 (or (not (tptp.irel @t8 @t884)) @t892 @t891 @t890 @t889))) % 0.70/0.96 (define @t895 () (or @t117 @t894 @t888)) % 0.70/0.96 (define @t896 () (or @t894 @t888)) % 0.70/0.96 (define @t897 () (not (tptp.irel @t8 @t882))) % 0.70/0.96 (define @t898 () (not (tptp.irel @t8 @t883))) % 0.70/0.96 (define @t899 () (or @t117 @t898 @t891 @t897 @t889)) % 0.70/0.96 (define @t900 () (@list @t8 @t883 @t882)) % 0.70/0.96 (define @t901 () (forall @t900 @t899)) % 0.70/0.96 (define @t902 () (or @t901 @t119)) % 0.70/0.96 (define @t903 () (lambda @t74 @t902)) % 0.70/0.96 (define @t904 () (or @t117 (_ @t903 @t8))) % 0.70/0.96 (define @t905 () (forall @t40 @t904)) % 0.70/0.96 (define @t906 () (or @t869 @t905)) % 0.70/0.96 (define @t907 () (lambda @t74 @t906)) % 0.70/0.96 (define @t908 () (or @t901 @t225)) % 0.70/0.96 (define @t909 () (lambda @t74 @t908)) % 0.70/0.96 (define @t910 () (or @t897 @t889)) % 0.70/0.96 (define @t911 () (or @t898 @t891)) % 0.70/0.96 (define @t912 () (or @t117 @t911 @t910)) % 0.70/0.96 (define @t913 () (forall @t900 @t912)) % 0.70/0.96 (define @t914 () (forall (@list @t883 @t882) @t912)) % 0.70/0.96 (define @t915 () (forall (@list @t882) @t910)) % 0.70/0.96 (define @t916 () (@var "BOUND_VARIABLE_8366" $$unsorted)) % 0.70/0.96 (define @t917 () (@list @t916)) % 0.70/0.96 (define @t918 () (forall (@list @t883) @t911)) % 0.70/0.96 (define @t919 () (@var "BOUND_VARIABLE_8374" $$unsorted)) % 0.70/0.96 (define @t920 () (@list @t919)) % 0.70/0.96 (define @t921 () (or @t117 @t918 @t915)) % 0.70/0.96 (define @t922 () (tptp.a2 @t916)) % 0.70/0.96 (define @t923 () (@list @t916)) % 0.70/0.96 (define @t924 () (forall @t923 (or (not (tptp.irel @t8 @t916)) @t922))) % 0.70/0.96 (define @t925 () (tptp.b2 @t919)) % 0.70/0.96 (define @t926 () (@list @t919)) % 0.70/0.96 (define @t927 () (forall @t926 (or (not (tptp.irel @t8 @t919)) @t925))) % 0.70/0.96 (define @t928 () (or @t117 @t927 @t924)) % 0.70/0.96 (define @t929 () (or @t927 @t924)) % 0.70/0.96 (define @t930 () (forall @t40 (or @t117 @t406))) % 0.70/0.96 (define @t931 () (or @t119 @t930)) % 0.70/0.96 (define @t932 () (lambda @t74 @t931)) % 0.70/0.96 (define @t933 () (or @t117 (_ @t932 @t8))) % 0.70/0.96 (define @t934 () (forall @t40 @t933)) % 0.70/0.96 (define @t935 () (or @t934 @t163)) % 0.70/0.96 (define @t936 () (lambda @t164 @t935)) % 0.70/0.96 (define @t937 () (or @t117 @t476)) % 0.70/0.96 (define @t938 () (_ @t488 @t8)) % 0.70/0.96 (define @t939 () (or @t117 @t938)) % 0.70/0.96 (define @t940 () (forall @t40 @t939)) % 0.70/0.96 (define @t941 () (or @t119 @t940)) % 0.70/0.96 (define @t942 () (lambda @t74 @t941)) % 0.70/0.96 (define @t943 () (or @t225 @t163)) % 0.70/0.96 (define @t944 () (lambda @t164 @t943)) % 0.70/0.96 (define @t945 () (not @t772)) % 0.70/0.96 (define @t946 () (or @t945 @t163)) % 0.70/0.96 (define @t947 () (lambda @t164 @t946)) % 0.70/0.96 (define @t948 () (not @t574)) % 0.70/0.96 (define @t949 () (tptp.irel @t532 @t532)) % 0.70/0.96 (define @t950 () (not @t949)) % 0.70/0.96 (define @t951 () (or @t833 @t950 @t950 @t948 @t299 @t550 @t546 @t581 @t580)) % 0.70/0.96 (define @t952 () (not @t582)) % 0.70/0.96 (define @t953 () (not @t577)) % 0.70/0.96 (define @t954 () (or @t948 @t299)) % 0.70/0.96 (define @t955 () (not @t301)) % 0.70/0.96 (define @t956 () (not @t296)) % 0.70/0.96 (define @t957 () (or @t543 @t540)) % 0.70/0.96 (define @t958 () (@list @t294)) % 0.70/0.96 (define @t959 () (tptp.irel @t532 @t294)) % 0.70/0.96 (define @t960 () (or @t544 @t543 @t959)) % 0.70/0.96 (define @t961 () (not @t959)) % 0.70/0.96 (define @t962 () (or @t961 @t540)) % 0.70/0.96 (define @t963 () (tptp.irel @t295 @t295)) % 0.70/0.96 (define @t964 () (not @t963)) % 0.70/0.96 (define @t965 () (or @t956 @t964 @t964 @t538 @t535 @t543 @t539 @t538 @t535)) % 0.70/0.96 (define @t966 () (forall @t50 @t71)) % 0.70/0.96 (assume @p1 @t5) % 0.70/0.96 (assume @p2 @t13) % 0.70/0.96 (assume @p3 (= tptp.ifalse (_ tptp.inot tptp.itrue))) % 0.70/0.96 (assume @p4 (_ tptp.ivalid @t14)) % 0.70/0.96 (assume @p5 (_ tptp.ivalid (_ (_ tptp.iimplies @t17) (_ (_ tptp.ior (_ (_ tptp.ior @t15) @t16)) @t15)))) % 0.70/0.96 (assume @p6 (_ tptp.ivalid (_ (_ tptp.iimplies @t19) (_ (_ tptp.ior (_ (_ tptp.ior @t17) @t18)) @t17)))) % 0.70/0.96 (assume @p7 (_ tptp.ivalid (_ (_ tptp.iimplies @t21) (_ (_ tptp.ior (_ (_ tptp.ior @t19) @t20)) @t19)))) % 0.70/0.96 (assume @p8 (_ tptp.ivalid (_ (_ tptp.ior (_ (_ tptp.ior @t21) @t22)) @t21))) % 0.70/0.96 (assume @p9 @t23) % 0.70/0.96 (assume @p10 true) % 0.70/0.96 (step @p11 (= tptp.mnot @t27) :rule refl :args (@t27)) % 0.70/0.96 (step @p12 (= tptp.mor @t31) :rule refl :args (@t31)) % 0.70/0.96 (step @p13 (= tptp.mand @t32) :rule refl :args (@t32)) % 0.70/0.96 (step @p14 (= tptp.mimplies @t37) :rule refl :args (@t37)) % 0.70/0.96 (step @p15 (= tptp.mbox_s4 @t43) :rule refl :args (@t43)) % 0.70/0.96 (step @p16 (= tptp.iatom @t46) :rule refl :args (@t46)) % 0.70/0.96 (step @p17 (= tptp.inot @t48) :rule refl :args (@t48)) % 0.70/0.96 (step @p18 (= tptp.itrue @t51) :rule refl :args (@t51)) % 0.70/0.96 (step @p19 (= tptp.iand @t54) :rule refl :args (@t54)) % 0.70/0.96 (step @p20 (= tptp.ior @t56) :rule refl :args (@t56)) % 0.70/0.96 (step @p21 (= tptp.iimplies @t57) :rule refl :args (@t57)) % 0.70/0.96 (step @p22 (= tptp.iimplied @t59) :rule refl :args (@t59)) % 0.70/0.96 (step @p23 (= tptp.iequiv @t60) :rule refl :args (@t60)) % 0.70/0.96 (step @p24 (= tptp.ixor @t61) :rule refl :args (@t61)) % 0.70/0.96 (step @p25 (= tptp.ivalid @t66) :rule refl :args (@t66)) % 0.70/0.96 (step @p26 (= tptp.isatisfiable @t67) :rule refl :args (@t67)) % 0.70/0.96 (step @p27 (= tptp.icountersatisfiable @t69) :rule refl :args (@t69)) % 0.70/0.96 (step @p28 (= tptp.iinvalid @t70) :rule refl :args (@t70)) % 0.70/0.96 (step @p29 :rule refl :args (@t71)) % 0.70/0.96 (step @p30 :rule refl :args (@t72)) % 0.70/0.96 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t72 @t71))) % 0.70/0.96 (step @p32 :rule symm :premises (@p31)) % 0.70/0.96 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.70/0.96 (step @p34 :rule cong :premises (@p33) :args ((forall @t50 @t72))) % 0.70/0.96 (step @p35 :rule beta-reduce :args ((= @t76 @t72))) % 0.70/0.96 (step @p36 :rule cong :premises (@p35) :args (@t77)) % 0.70/0.96 (step @p37 :rule trans :premises (@p36 @p34)) % 0.70/0.96 (step @p38 :rule beta-reduce :args ((= (_ @t79 @t75) @t77))) % 0.70/0.96 (step @p39 :rule trans :premises (@p38 @p37)) % 0.70/0.96 (step @p40 :rule beta-reduce :args ((= @t80 @t75))) % 0.70/0.96 (step @p41 :rule refl :args (@t79)) % 0.70/0.96 (step @p42 :rule ho_cong :premises (@p41 @p40)) % 0.70/0.96 (step @p43 :rule trans :premises (@p42 @p39)) % 0.70/0.96 (step @p44 :rule refl :args (tptp.a4)) % 0.70/0.96 (step @p45 :rule ho_cong :premises (@p16 @p44)) % 0.70/0.96 (step @p46 :rule refl :args (@t78)) % 0.70/0.96 (step @p47 :rule refl :args (@t63)) % 0.70/0.96 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t63 @t78))) % 0.70/0.96 (step @p49 :rule symm :premises (@p48)) % 0.70/0.96 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.70/0.96 (step @p51 :rule cong :premises (@p50) :args (@t64)) % 0.70/0.96 (step @p52 :rule cong :premises (@p51) :args (@t66)) % 0.70/0.96 (step @p53 :rule trans :premises (@p25 @p52)) % 0.70/0.96 (step @p54 :rule ho_cong :premises (@p53 @p45)) % 0.70/0.96 (step @p55 :rule trans :premises (@p54 @p43)) % 0.70/0.96 (step @p56 :rule eq_resolve :premises (@p4 @p55)) % 0.70/0.96 (step @p57 :rule aci_norm :args ((= @t98 (or @t96 @t93 @t92 @t91 @t90 @t88 @t86 @t84 @t82)))) % 0.70/0.96 (step @p58 :rule cong :premises (@p57) :args (@t99)) % 0.70/0.96 (step @p59 :rule quant-merge-prenex :args ((= (forall @t50 @t101) @t99))) % 0.70/0.96 (step @p60 :rule alpha_equiv :args (@t102 (@list @t83 @t87 @t89 @t85 @t81) (@list @t8 @t106 @t105 @t104 @t103))) % 0.70/0.96 (step @p61 :rule refl :args (@t96)) % 0.70/0.96 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t107)) % 0.70/0.96 (step @p63 :rule quant-miniscope-or :args ((= @t101 @t107))) % 0.70/0.96 (step @p64 :rule trans :premises (@p63 @p62)) % 0.70/0.96 (step @p65 :rule symm :premises (@p64)) % 0.70/0.96 (step @p66 :rule cong :premises (@p65) :args ((forall @t50 @t116))) % 0.70/0.96 (step @p67 :rule trans :premises (@p66 @p59)) % 0.70/0.96 (step @p68 :rule trans :premises (@p67 @p58)) % 0.70/0.96 (step @p69 :rule beta-reduce :args ((= @t122 @t116))) % 0.70/0.96 (step @p70 :rule cong :premises (@p69) :args (@t123)) % 0.70/0.96 (step @p71 :rule trans :premises (@p70 @p68)) % 0.70/0.96 (step @p72 :rule beta-reduce :args ((= (_ @t79 @t121) @t123))) % 0.70/0.96 (step @p73 :rule trans :premises (@p72 @p71)) % 0.70/0.96 (step @p74 :rule aci_norm :args ((= @t126 @t118))) % 0.70/0.96 (step @p75 :rule cong :premises (@p74) :args (@t127)) % 0.70/0.96 (step @p76 :rule quant-merge-prenex :args ((= (forall @t40 @t128) @t127))) % 0.70/0.96 (step @p77 :rule alpha_equiv :args (@t129 (@list @t103) @t131)) % 0.70/0.96 (step @p78 :rule alpha_equiv :args (@t132 (@list @t106 @t105 @t104) (@list @t135 @t134 @t133))) % 0.70/0.96 (step @p79 :rule refl :args (@t117)) % 0.70/0.96 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args (@t136)) % 0.70/0.96 (step @p81 :rule quant-miniscope-or :args ((= @t128 @t136))) % 0.70/0.96 (step @p82 :rule trans :premises (@p81 @p80)) % 0.70/0.96 (step @p83 :rule symm :premises (@p82)) % 0.70/0.96 (step @p84 :rule cong :premises (@p83) :args ((forall @t40 @t146))) % 0.70/0.96 (step @p85 :rule trans :premises (@p84 @p76)) % 0.70/0.96 (step @p86 :rule trans :premises (@p85 @p75)) % 0.70/0.96 (step @p87 :rule aci_norm :args ((= (or @t117 @t147) @t146))) % 0.70/0.96 (step @p88 :rule beta-reduce :args ((= (_ (lambda @t74 (or (forall @t144 (or (not (tptp.irel @t33 @t135)) @t143 @t142 @t141 @t140)) (forall @t138 (or (not (tptp.irel @t33 @t130)) @t137)))) @t8) @t147))) % 0.70/0.96 (step @p89 :rule refl :args (@t8)) % 0.70/0.96 (step @p90 :rule alpha_equiv :args (@t149 @t150 @t131)) % 0.70/0.96 (step @p91 :rule alpha_equiv :args (@t155 @t150 (@list @t135))) % 0.70/0.96 (step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t156)) % 0.70/0.96 (step @p93 :rule cong :premises (@p92) :args (@t157)) % 0.70/0.96 (step @p94 :rule ho_cong :premises (@p93 @p89)) % 0.70/0.96 (step @p95 :rule trans :premises (@p94 @p88)) % 0.70/0.96 (step @p96 :rule refl :args (@t117)) % 0.70/0.96 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t158)) % 0.70/0.96 (step @p98 :rule trans :premises (@p97 @p87)) % 0.70/0.96 (step @p99 :rule cong :premises (@p98) :args (@t159)) % 0.70/0.96 (step @p100 :rule trans :premises (@p99 @p86)) % 0.70/0.96 (step @p101 :rule refl :args (@t120)) % 0.70/0.96 (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t160)) % 0.70/0.96 (step @p103 :rule cong :premises (@p102) :args (@t161)) % 0.70/0.96 (step @p104 :rule beta-reduce :args ((= (_ (lambda @t164 (or @t120 @t163)) @t157) @t161))) % 0.70/0.96 (step @p105 :rule trans :premises (@p104 @p103)) % 0.70/0.96 (step @p106 :rule refl :args (@t148)) % 0.70/0.96 (step @p107 :rule refl :args (@t165)) % 0.70/0.96 (step @p108 :rule cong :premises (@p107 @p106) :args ((= @t165 @t148))) % 0.70/0.96 (step @p109 :rule symm :premises (@p108)) % 0.70/0.96 (step @p110 :rule eq_resolve :premises (@p107 @p109)) % 0.70/0.96 (step @p111 :rule nary_cong :premises (@p79 @p110) :args (@t166)) % 0.70/0.96 (step @p112 :rule cong :premises (@p111) :args ((forall @t40 @t166))) % 0.70/0.96 (step @p113 :rule beta-reduce :args ((= @t169 @t165))) % 0.70/0.96 (step @p114 :rule nary_cong :premises (@p96 @p113) :args (@t170)) % 0.70/0.96 (step @p115 :rule cong :premises (@p114) :args (@t171)) % 0.70/0.96 (step @p116 :rule trans :premises (@p115 @p112)) % 0.70/0.96 (step @p117 :rule refl :args (@t155)) % 0.70/0.96 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t172)) % 0.70/0.96 (step @p119 :rule cong :premises (@p118) :args (@t173)) % 0.70/0.96 (step @p120 :rule beta-reduce :args ((= (_ (lambda @t164 (or @t155 @t163)) @t168) @t173))) % 0.70/0.96 (step @p121 :rule trans :premises (@p120 @p119)) % 0.70/0.96 (step @p122 :rule beta-reduce :args ((= @t174 @t168))) % 0.70/0.96 (step @p123 :rule refl :args (@t163)) % 0.70/0.96 (step @p124 :rule aci_norm :args ((= @t177 @t153))) % 0.70/0.96 (step @p125 :rule cong :premises (@p124) :args (@t178)) % 0.70/0.96 (step @p126 :rule quant-merge-prenex :args ((= (forall @t40 @t179) @t178))) % 0.70/0.96 (step @p127 :rule alpha_equiv :args (@t180 (@list @t133) @t182)) % 0.70/0.96 (step @p128 :rule alpha_equiv :args (@t183 (@list @t134) @t185)) % 0.70/0.96 (step @p129 :rule nary_cong :premises (@p79 @p128 @p127) :args (@t186)) % 0.70/0.96 (step @p130 :rule quant-miniscope-or :args ((= @t179 @t186))) % 0.70/0.96 (step @p131 :rule trans :premises (@p130 @p129)) % 0.70/0.96 (step @p132 :rule symm :premises (@p131)) % 0.70/0.96 (step @p133 :rule cong :premises (@p132) :args ((forall @t40 @t193))) % 0.70/0.96 (step @p134 :rule trans :premises (@p133 @p126)) % 0.70/0.96 (step @p135 :rule trans :premises (@p134 @p125)) % 0.70/0.96 (step @p136 :rule aci_norm :args ((= (or @t117 @t194) @t193))) % 0.70/0.96 (step @p137 :rule beta-reduce :args ((= (_ (lambda @t74 (or (forall @t191 (or (not (tptp.irel @t33 @t184)) @t190)) (forall @t188 (or (not (tptp.irel @t33 @t181)) @t187)))) @t8) @t194))) % 0.70/0.96 (step @p138 :rule alpha_equiv :args (@t196 @t150 @t182)) % 0.70/0.96 (step @p139 :rule alpha_equiv :args (@t149 @t150 @t185)) % 0.70/0.96 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t197)) % 0.70/0.96 (step @p141 :rule cong :premises (@p140) :args (@t198)) % 0.70/0.96 (step @p142 :rule ho_cong :premises (@p141 @p89)) % 0.70/0.96 (step @p143 :rule trans :premises (@p142 @p137)) % 0.70/0.96 (step @p144 :rule nary_cong :premises (@p96 @p143) :args (@t199)) % 0.70/0.96 (step @p145 :rule trans :premises (@p144 @p136)) % 0.70/0.96 (step @p146 :rule cong :premises (@p145) :args (@t200)) % 0.70/0.96 (step @p147 :rule trans :premises (@p146 @p135)) % 0.70/0.96 (step @p148 :rule nary_cong :premises (@p147 @p123) :args (@t201)) % 0.70/0.96 (step @p149 :rule cong :premises (@p148) :args (@t202)) % 0.70/0.96 (step @p150 :rule beta-reduce :args ((= (_ @t206 @t198) @t202))) % 0.70/0.96 (step @p151 :rule trans :premises (@p150 @p149)) % 0.70/0.96 (step @p152 :rule refl :args (@t195)) % 0.70/0.96 (step @p153 :rule refl :args (@t207)) % 0.70/0.96 (step @p154 :rule cong :premises (@p153 @p152) :args ((= @t207 @t195))) % 0.70/0.96 (step @p155 :rule symm :premises (@p154)) % 0.70/0.96 (step @p156 :rule eq_resolve :premises (@p153 @p155)) % 0.70/0.96 (step @p157 :rule nary_cong :premises (@p79 @p156) :args (@t208)) % 0.70/0.96 (step @p158 :rule cong :premises (@p157) :args ((forall @t40 @t208))) % 0.70/0.96 (step @p159 :rule beta-reduce :args ((= @t211 @t207))) % 0.70/0.96 (step @p160 :rule nary_cong :premises (@p96 @p159) :args (@t212)) % 0.70/0.96 (step @p161 :rule cong :premises (@p160) :args (@t213)) % 0.70/0.96 (step @p162 :rule trans :premises (@p161 @p158)) % 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@t903) @t907))) % 0.70/0.97 (step @p1121 :rule trans :premises (@p1120 @p1119)) % 0.70/0.97 (step @p1122 :rule refl :args (@t901)) % 0.70/0.97 (step @p1123 :rule nary_cong :premises (@p1122 @p192) :args (@t908)) % 0.70/0.97 (step @p1124 :rule cong :premises (@p1123) :args (@t909)) % 0.70/0.97 (step @p1125 :rule beta-reduce :args ((= (_ (lambda @t164 (or @t901 @t163)) @t222) @t909))) % 0.70/0.97 (step @p1126 :rule trans :premises (@p1125 @p1124)) % 0.70/0.97 (step @p1127 :rule aci_norm :args ((= @t912 @t899))) % 0.70/0.97 (step @p1128 :rule cong :premises (@p1127) :args (@t913)) % 0.70/0.97 (step @p1129 :rule quant-merge-prenex :args ((= (forall @t40 @t914) @t913))) % 0.70/0.97 (step @p1130 :rule alpha_equiv :args (@t915 (@list @t882) @t917)) % 0.70/0.97 (step @p1131 :rule alpha_equiv :args (@t918 (@list @t883) @t920)) % 0.70/0.97 (step @p1132 :rule nary_cong :premises (@p79 @p1131 @p1130) :args (@t921)) % 0.70/0.97 (step @p1133 :rule quant-miniscope-or :args ((= @t914 @t921))) % 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@p1075 @p1040 @p701 @p693 @p687 @p686) :args ((or @t582 @t299 @t948) (@list false false true false false true false) (@list @t951 @t821 @t546 @t949 @t549 @t580 @t579))) % 0.70/0.97 (step @p1203 :rule refl :args (@t952)) % 0.70/0.97 (step @p1204 :rule bool-double-not-elim :args (@t577)) % 0.70/0.97 (step @p1205 :rule nary_cong :premises (@p1204 @p1203) :args ((or (not @t953) @t952))) % 0.70/0.97 (assume-push @p1294 @t953) % 0.70/0.97 (step @p1207 :rule skolemize :premises (@p1294)) % 0.70/0.97 (step-pop @p1295 :rule scope :premises (@p1207)) % 0.70/0.97 (step @p1208 :rule process_scope :premises (@p1295) :args (@t952)) % 0.70/0.97 (step @p1210 :rule implies_elim :premises (@p1208)) % 0.70/0.97 (step @p1211 :rule eq_resolve :premises (@p1210 @p1205)) % 0.70/0.97 (step @p1212 :rule cnf_or_pos :args (@t954)) % 0.70/0.97 (step @p1213 :rule reordering :premises (@p1212) :args ((or @t299 @t948 (not @t954)))) % 0.70/0.97 (assume-push @p1296 @t577) % 0.70/0.97 (step @p1215 :rule instantiate :premises (@p1296) :args ((@list @t297))) % 0.70/0.97 (step-pop @p1297 :rule scope :premises (@p1215)) % 0.70/0.97 (step @p1216 :rule process_scope :premises (@p1297) :args (@t954)) % 0.70/0.97 (step @p1218 :rule implies_elim :premises (@p1216)) % 0.70/0.97 (step @p1219 :rule chain_m_resolution :premises (@p1218 @p1213 @p1211 @p1202 @p680 @p678 @p655 @p329 @p328) :args (@t301 (@list true false false false false false true false) (@list @t954 @t577 @t582 @t574 @t575 @t533 @t299 @t298))) % 0.70/0.97 (step @p1220 :rule refl :args (@t955)) % 0.70/0.97 (step @p1221 :rule bool-double-not-elim :args (@t296)) % 0.70/0.97 (step @p1222 :rule nary_cong :premises (@p1221 @p1220) :args ((or (not @t956) @t955))) % 0.70/0.97 (assume-push @p1298 @t956) % 0.70/0.97 (step @p1224 :rule skolemize :premises (@p1298)) % 0.70/0.97 (step-pop @p1299 :rule scope :premises (@p1224)) % 0.70/0.97 (step @p1225 :rule process_scope :premises (@p1299) :args (@t955)) % 0.70/0.97 (step @p1227 :rule implies_elim 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0.70/0.97 (step @p1240 :rule eq_resolve :premises (@p1239 @p1238)) % 0.70/0.97 (step @p1241 :rule reordering :premises (@p1240) :args ((or @t542 @t567))) % 0.70/0.97 (step @p1242 :rule chain_m_resolution :premises (@p1241 @p648) :args (@t542 @t568 @t569)) % 0.70/0.97 (step @p1243 :rule cnf_or_pos :args (@t957)) % 0.70/0.97 (step @p1244 :rule reordering :premises (@p1243) :args ((or @t543 @t540 (not @t957)))) % 0.70/0.97 (assume-push @p1300 @t296) % 0.70/0.97 (step @p1246 :rule instantiate :premises (@p1300) :args (@t958)) % 0.70/0.97 (step-pop @p1301 :rule scope :premises (@p1246)) % 0.70/0.97 (step @p1247 :rule process_scope :premises (@p1301) :args (@t957)) % 0.70/0.97 (step @p1249 :rule implies_elim :premises (@p1247)) % 0.70/0.97 (step @p1250 :rule instantiate :premises (@p677) :args ((@list @t532 @t295 @t294))) % 0.70/0.97 (step @p1251 :rule cnf_or_pos :args (@t960)) % 0.70/0.97 (step @p1252 :rule reordering :premises (@p1251) :args ((or @t544 @t543 @t959 (not @t960)))) % 0.70/0.97 (step @p1253 :rule chain_m_resolution :premises (@p1252 @p655 @p1242 @p1250) :args (@t959 @t593 (@list @t533 @t542 @t960))) % 0.70/0.97 (step @p1254 :rule cnf_or_pos :args (@t962)) % 0.70/0.97 (step @p1255 :rule reordering :premises (@p1254) :args ((or @t540 @t961 (not @t962)))) % 0.70/0.97 (assume-push @p1302 @t577) % 0.70/0.97 (step @p1257 :rule instantiate :premises (@p1302) :args (@t958)) % 0.70/0.97 (step-pop @p1303 :rule scope :premises (@p1257)) % 0.70/0.97 (step @p1258 :rule process_scope :premises (@p1303) :args (@t962)) % 0.70/0.97 (step @p1260 :rule implies_elim :premises (@p1258)) % 0.70/0.97 (step @p1261 :rule chain_m_resolution :premises (@p1260 @p1255 @p1253 @p1211 @p1202 @p680 @p678 @p655 @p329 @p328 @p1228 @p1249 @p1244 @p1242) :args (@t540 (@list true false false false false false false true false true true true false) (@list @t962 @t959 @t577 @t582 @t574 @t575 @t533 @t299 @t298 @t301 @t296 @t957 @t542))) % 0.70/0.97 (step @p1262 :rule cnf_or_neg :args (@t567 10)) % 0.70/0.97 (step @p1263 :rule chain_m_resolution :premises (@p1262 @p648) :args ((not @t541) @t568 @t569)) % 0.70/0.97 (step @p1264 :rule cnf_and_neg :args (@t541)) % 0.70/0.97 (step @p1265 :rule chain_m_resolution :premises (@p1264 @p1263 @p1261) :args ((not @t539) @t670 (@list @t541 @t540))) % 0.70/0.97 (step @p1266 :rule cnf_or_pos :args (@t965)) % 0.70/0.97 (step @p1267 :rule factoring :premises (@p1266)) % 0.70/0.97 (step @p1268 :rule reordering :premises (@p1267) :args ((or @t543 @t539 @t538 @t535 @t964 @t956 (not @t965)))) % 0.70/0.97 (step @p1269 :rule chain_m_resolution :premises (@p1268 @p1242 @p1265 @p1236 @p1230 @p1229 @p322) :args (@t535 (@list false true false false false false) (@list @t542 @t539 @t537 @t963 @t296 @t965))) % 0.70/0.97 (step @p1270 :rule cnf_or_neg :args (@t567 12)) % 0.70/0.97 (step @p1271 :rule chain_m_resolution :premises (@p1270 @p648) :args ((not @t536) @t568 @t569)) % 0.70/0.97 (step @p1272 :rule cnf_and_neg :args (@t536)) % 0.70/0.97 (step @p1273 :rule chain_m_resolution :premises (@p1272 @p1271 @p1269) :args ((not @t534) @t670 (@list @t536 @t535))) % 0.70/0.97 (assume-push @p1304 @t966) % 0.70/0.97 (step @p1275 :rule instantiate :premises (@p56) :args ((@list @t293))) % 0.70/0.97 (step-pop @p1305 :rule scope :premises (@p1275)) % 0.70/0.97 (step @p1276 :rule process_scope :premises (@p1305) :args (@t534)) % 0.70/0.97 (step @p1278 :rule implies_elim :premises (@p1276)) % 0.70/0.97 (step @p1279 false :rule chain_m_resolution :premises (@p1278 @p1273 @p56) :args (false @t670 (@list @t534 @t966))) % 0.70/0.97 ) % 0.70/0.97 % SZS output end Proof % 0.70/0.97 % cvc5 exiting %------------------------------------------------------------------------------