%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO062^4.003 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 09:11:54 AM UTC 2026 % Result : Theorem 36.85s 37.07s % Output : Proof 36.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYO062^4.003 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n006.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:53:04 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 36.85/37.07 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 36.85/37.07 % SZS status Theorem % 36.85/37.07 % SZS output start Proof % 36.85/37.07 ( % 36.85/37.07 (declare-sort $$unsorted 0) % 36.85/37.07 (declare-const tptp.irel (-> $$unsorted $$unsorted Bool)) % 36.85/37.07 (declare-const tptp.a (-> $$unsorted Bool)) % 36.85/37.07 (declare-const tptp.b (-> $$unsorted Bool)) % 36.85/37.07 (declare-const tptp.ifalse (-> $$unsorted Bool)) % 36.85/37.07 (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)))))) % 36.85/37.07 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 36.85/37.07 (define tptp.mand () (let ((_let_1 (@var "U" $$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))))))) % 36.85/37.07 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 36.85/37.07 (define tptp.mbox_s4 () (let ((_let_1 (@var "Y" $$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)))))))) % 36.85/37.07 (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))))) % 36.85/37.07 (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))))) % 36.85/37.07 (define tptp.itrue () (lambda (@list (@var "W" $$unsorted)) true)) % 36.85/37.07 (define tptp.iand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 36.85/37.07 (define tptp.ior () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1)))))) % 36.85/37.07 (define tptp.iimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 36.85/37.07 (define tptp.iimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iimplies _let_3) _let_2) _let_1)))))) % 36.85/37.07 (define tptp.iequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 36.85/37.07 (define tptp.ixor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.inot (_ (_ tptp.iequiv _let_3) _let_2)) _let_1)))))) % 36.85/37.07 (define tptp.ivalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 36.85/37.07 (define tptp.isatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 36.85/37.07 (define tptp.icountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 36.85/37.07 (define tptp.iinvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 36.85/37.07 (define @t1 () (@var "X" $$unsorted)) % 36.85/37.07 (define @t2 () (_ tptp.irel @t1)) % 36.85/37.07 (define @t3 () (_ @t2 @t1)) % 36.85/37.07 (define @t4 () (@list @t1)) % 36.85/37.07 (define @t5 () (forall @t4 @t3)) % 36.85/37.07 (define @t6 () (@var "Z" $$unsorted)) % 36.85/37.07 (define @t7 () (_ @t2 @t6)) % 36.85/37.07 (define @t8 () (@var "Y" $$unsorted)) % 36.85/37.07 (define @t9 () (_ (_ tptp.irel @t8) @t6)) % 36.85/37.07 (define @t10 () (_ @t2 @t8)) % 36.85/37.07 (define @t11 () (and @t10 @t9)) % 36.85/37.07 (define @t12 () (@list @t1 @t8 @t6)) % 36.85/37.07 (define @t13 () (forall @t12 (=> @t11 @t7))) % 36.85/37.07 (define @t14 () (_ tptp.iatom tptp.b)) % 36.85/37.07 (define @t15 () (_ tptp.iatom tptp.a)) % 36.85/37.07 (define @t16 () (not (_ tptp.ivalid (_ tptp.inot (_ tptp.inot (_ (_ tptp.ior (_ (_ tptp.iand @t15) @t14)) (_ (_ tptp.ior (_ tptp.inot @t15)) (_ tptp.inot @t14)))))))) % 36.85/37.07 (define @t17 () (@var "U" $$unsorted)) % 36.85/37.07 (define @t18 () (@var "X" (-> $$unsorted Bool))) % 36.85/37.07 (define @t19 () (_ @t18 @t17)) % 36.85/37.07 (define @t20 () (lambda (@list @t18 @t17) (not @t19))) % 36.85/37.07 (define @t21 () (@var "Y" (-> $$unsorted Bool))) % 36.85/37.07 (define @t22 () (_ @t21 @t17)) % 36.85/37.07 (define @t23 () (@list @t18 @t21 @t17)) % 36.85/37.07 (define @t24 () (lambda @t23 (or @t19 @t22))) % 36.85/37.07 (define @t25 () (lambda @t23 (and @t19 @t22))) % 36.85/37.07 (define @t26 () (@var "__flatten_var_0" $$unsorted)) % 36.85/37.07 (define @t27 () (@var "V" (-> $$unsorted Bool))) % 36.85/37.07 (define @t28 () (@var "U" (-> $$unsorted Bool))) % 36.85/37.07 (define @t29 () (lambda (@list @t28 @t27 @t26) (_ (_ (_ tptp.mor (_ tptp.mnot @t28)) @t27) @t26))) % 36.85/37.07 (define @t30 () (@var "P" (-> $$unsorted Bool))) % 36.85/37.07 (define @t31 () (_ @t30 @t8)) % 36.85/37.07 (define @t32 () (@list @t8)) % 36.85/37.07 (define @t33 () (forall @t32 (=> @t10 @t31))) % 36.85/37.07 (define @t34 () (@list @t30 @t1)) % 36.85/37.07 (define @t35 () (lambda @t34 @t33)) % 36.85/37.07 (define @t36 () (_ @t30 @t26)) % 36.85/37.07 (define @t37 () (@list @t30 @t26)) % 36.85/37.07 (define @t38 () (lambda @t37 @t36)) % 36.85/37.07 (define @t39 () (_ tptp.mbox_s4 @t30)) % 36.85/37.07 (define @t40 () (lambda @t37 (_ (_ tptp.mnot @t39) @t26))) % 36.85/37.07 (define @t41 () (@var "W" $$unsorted)) % 36.85/37.07 (define @t42 () (@list @t41)) % 36.85/37.07 (define @t43 () (lambda @t42 true)) % 36.85/37.07 (define @t44 () (@var "Q" (-> $$unsorted Bool))) % 36.85/37.07 (define @t45 () (@list @t30 @t44 @t26)) % 36.85/37.07 (define @t46 () (lambda @t45 (_ (_ (_ tptp.mand @t30) @t44) @t26))) % 36.85/37.07 (define @t47 () (_ tptp.mbox_s4 @t44)) % 36.85/37.07 (define @t48 () (lambda @t45 (_ (_ (_ tptp.mor @t39) @t47) @t26))) % 36.85/37.07 (define @t49 () (lambda @t45 (_ (_ (_ tptp.mimplies @t39) @t47) @t26))) % 36.85/37.07 (define @t50 () (_ (_ tptp.iimplies @t44) @t30)) % 36.85/37.07 (define @t51 () (lambda @t45 (_ @t50 @t26))) % 36.85/37.07 (define @t52 () (lambda @t45 (_ (_ (_ tptp.iand (_ (_ tptp.iimplies @t30) @t44)) @t50) @t26))) % 36.85/37.07 (define @t53 () (lambda @t45 (_ (_ tptp.inot (_ (_ tptp.iequiv @t30) @t44)) @t26))) % 36.85/37.07 (define @t54 () (@var "Phi" (-> $$unsorted Bool))) % 36.85/37.07 (define @t55 () (_ @t54 @t41)) % 36.85/37.07 (define @t56 () (forall @t42 @t55)) % 36.85/37.07 (define @t57 () (@list @t54)) % 36.85/37.07 (define @t58 () (lambda @t57 @t56)) % 36.85/37.07 (define @t59 () (lambda @t57 (exists @t42 @t55))) % 36.85/37.07 (define @t60 () (not @t55)) % 36.85/37.07 (define @t61 () (lambda @t57 (exists @t42 @t60))) % 36.85/37.07 (define @t62 () (lambda @t57 (forall @t42 @t60))) % 36.85/37.07 (define @t63 () (@var "BOUND_VARIABLE_8124" $$unsorted)) % 36.85/37.07 (define @t64 () (tptp.b @t63)) % 36.85/37.07 (define @t65 () (@var "BOUND_VARIABLE_8271" $$unsorted)) % 36.85/37.07 (define @t66 () (@list @t63)) % 36.85/37.07 (define @t67 () (not (forall @t66 (or (not (tptp.irel @t65 @t63)) @t64)))) % 36.85/37.07 (define @t68 () (@var "BOUND_VARIABLE_8267" $$unsorted)) % 36.85/37.07 (define @t69 () (not (tptp.irel @t68 @t65))) % 36.85/37.07 (define @t70 () (@var "BOUND_VARIABLE_8085" $$unsorted)) % 36.85/37.07 (define @t71 () (tptp.a @t70)) % 36.85/37.07 (define @t72 () (@var "BOUND_VARIABLE_8269" $$unsorted)) % 36.85/37.07 (define @t73 () (@list @t70)) % 36.85/37.07 (define @t74 () (not (forall @t73 (or (not (tptp.irel @t72 @t70)) @t71)))) % 36.85/37.07 (define @t75 () (not (tptp.irel @t68 @t72))) % 36.85/37.07 (define @t76 () (@var "BOUND_VARIABLE_8303" $$unsorted)) % 36.85/37.07 (define @t77 () (not (tptp.irel @t76 @t68))) % 36.85/37.07 (define @t78 () (@var "BOUND_VARIABLE_8259" $$unsorted)) % 36.85/37.07 (define @t79 () (and (tptp.a @t78) (tptp.b @t78))) % 36.85/37.07 (define @t80 () (not (tptp.irel @t76 @t78))) % 36.85/37.07 (define @t81 () (@list @t76 @t78 @t68 @t72 @t65)) % 36.85/37.07 (define @t82 () (not (forall @t81 (or (not (tptp.irel @t8 @t76)) @t80 @t79 @t77 @t75 @t74 @t69 @t67)))) % 36.85/37.07 (define @t83 () (not (forall @t32 (or (not (tptp.irel @t41 @t8)) @t82)))) % 36.85/37.07 (define @t84 () (not (tptp.irel @t26 @t8))) % 36.85/37.07 (define @t85 () (@list @t26)) % 36.85/37.07 (define @t86 () (lambda @t85 (not (forall @t32 (or @t84 @t82))))) % 36.85/37.07 (define @t87 () (_ @t86 @t41)) % 36.85/37.07 (define @t88 () (forall @t42 @t87)) % 36.85/37.07 (define @t89 () (_ @t54 @t41)) % 36.85/37.07 (define @t90 () (lambda @t57 (forall @t42 @t89))) % 36.85/37.07 (define @t91 () (not (tptp.irel @t8 @t68))) % 36.85/37.07 (define @t92 () (not (tptp.irel @t8 @t78))) % 36.85/37.07 (define @t93 () (or @t84 @t92 @t79 @t91 @t75 @t74 @t69 @t67)) % 36.85/37.07 (define @t94 () (@list @t8 @t78 @t68 @t72 @t65)) % 36.85/37.07 (define @t95 () (forall @t94 @t93)) % 36.85/37.07 (define @t96 () (@list @t8)) % 36.85/37.07 (define @t97 () (not @t95)) % 36.85/37.07 (define @t98 () (lambda @t85 @t97)) % 36.85/37.07 (define @t99 () (or @t84 (_ @t98 @t8))) % 36.85/37.07 (define @t100 () (forall @t32 @t99)) % 36.85/37.07 (define @t101 () (not @t100)) % 36.85/37.07 (define @t102 () (lambda @t85 @t101)) % 36.85/37.07 (define @t103 () (_ @t30 @t8)) % 36.85/37.07 (define @t104 () (forall @t32 (or @t84 @t103))) % 36.85/37.07 (define @t105 () (not @t104)) % 36.85/37.07 (define @t106 () (lambda @t37 @t105)) % 36.85/37.07 (define @t107 () (or @t91 @t75 @t74 @t69 @t67)) % 36.85/37.07 (define @t108 () (or @t92 @t79)) % 36.85/37.07 (define @t109 () (or @t84 @t108 @t107)) % 36.85/37.07 (define @t110 () (forall @t94 @t109)) % 36.85/37.07 (define @t111 () (forall (@list @t78 @t68 @t72 @t65) @t109)) % 36.85/37.07 (define @t112 () (forall (@list @t68 @t72 @t65) @t107)) % 36.85/37.07 (define @t113 () (@var "BOUND_VARIABLE_8200" $$unsorted)) % 36.85/37.07 (define @t114 () (@var "BOUND_VARIABLE_8190" $$unsorted)) % 36.85/37.07 (define @t115 () (@var "BOUND_VARIABLE_8223" $$unsorted)) % 36.85/37.07 (define @t116 () (forall (@list @t78) @t108)) % 36.85/37.07 (define @t117 () (@var "BOUND_VARIABLE_8234" $$unsorted)) % 36.85/37.07 (define @t118 () (@list @t117)) % 36.85/37.07 (define @t119 () (or @t84 @t116 @t112)) % 36.85/37.07 (define @t120 () (not (forall @t66 (or (not (tptp.irel @t113 @t63)) @t64)))) % 36.85/37.07 (define @t121 () (not (tptp.irel @t115 @t113))) % 36.85/37.07 (define @t122 () (not (forall @t73 (or (not (tptp.irel @t114 @t70)) @t71)))) % 36.85/37.07 (define @t123 () (not (tptp.irel @t115 @t114))) % 36.85/37.07 (define @t124 () (@list @t115 @t114 @t113)) % 36.85/37.07 (define @t125 () (forall @t124 (or (not (tptp.irel @t8 @t115)) @t123 @t122 @t121 @t120))) % 36.85/37.07 (define @t126 () (and (tptp.a @t117) (tptp.b @t117))) % 36.85/37.07 (define @t127 () (@list @t117)) % 36.85/37.07 (define @t128 () (forall @t127 (or (not (tptp.irel @t8 @t117)) @t126))) % 36.85/37.07 (define @t129 () (or @t84 @t128 @t125)) % 36.85/37.07 (define @t130 () (or @t128 @t125)) % 36.85/37.07 (define @t131 () (not (tptp.irel @t8 @t113))) % 36.85/37.07 (define @t132 () (not (tptp.irel @t8 @t114))) % 36.85/37.07 (define @t133 () (or @t84 @t132 @t122 @t131 @t120)) % 36.85/37.07 (define @t134 () (@list @t8 @t114 @t113)) % 36.85/37.07 (define @t135 () (forall @t134 @t133)) % 36.85/37.07 (define @t136 () (tptp.b @t8)) % 36.85/37.07 (define @t137 () (tptp.a @t8)) % 36.85/37.07 (define @t138 () (forall @t32 (or @t84 (and @t137 @t136)))) % 36.85/37.07 (define @t139 () (or @t138 @t135)) % 36.85/37.07 (define @t140 () (lambda @t85 @t139)) % 36.85/37.07 (define @t141 () (or @t84 (_ @t140 @t8))) % 36.85/37.07 (define @t142 () (forall @t32 @t141)) % 36.85/37.07 (define @t143 () (not @t142)) % 36.85/37.07 (define @t144 () (lambda @t85 @t143)) % 36.85/37.07 (define @t145 () (or @t131 @t120)) % 36.85/37.07 (define @t146 () (or @t132 @t122)) % 36.85/37.07 (define @t147 () (or @t84 @t146 @t145)) % 36.85/37.07 (define @t148 () (forall @t134 @t147)) % 36.85/37.07 (define @t149 () (forall (@list @t114 @t113) @t147)) % 36.85/37.07 (define @t150 () (forall (@list @t113) @t145)) % 36.85/37.07 (define @t151 () (@var "BOUND_VARIABLE_8151" $$unsorted)) % 36.85/37.07 (define @t152 () (@list @t151)) % 36.85/37.07 (define @t153 () (forall (@list @t114) @t146)) % 36.85/37.07 (define @t154 () (@var "BOUND_VARIABLE_8163" $$unsorted)) % 36.85/37.07 (define @t155 () (@list @t154)) % 36.85/37.07 (define @t156 () (or @t84 @t153 @t150)) % 36.85/37.07 (define @t157 () (not (forall @t66 (or (not (tptp.irel @t151 @t63)) @t64)))) % 36.85/37.07 (define @t158 () (@list @t151)) % 36.85/37.07 (define @t159 () (forall @t158 (or (not (tptp.irel @t8 @t151)) @t157))) % 36.85/37.07 (define @t160 () (not (forall @t73 (or (not (tptp.irel @t154 @t70)) @t71)))) % 36.85/37.07 (define @t161 () (@list @t154)) % 36.85/37.07 (define @t162 () (forall @t161 (or (not (tptp.irel @t8 @t154)) @t160))) % 36.85/37.07 (define @t163 () (or @t84 @t162 @t159)) % 36.85/37.07 (define @t164 () (or @t162 @t159)) % 36.85/37.07 (define @t165 () (not (forall @t66 (or (not (tptp.irel @t8 @t63)) @t64)))) % 36.85/37.07 (define @t166 () (forall @t32 (or @t84 @t165))) % 36.85/37.07 (define @t167 () (not (forall @t73 (or (not (tptp.irel @t8 @t70)) @t71)))) % 36.85/37.07 (define @t168 () (forall @t32 (or @t84 @t167))) % 36.85/37.07 (define @t169 () (or @t168 @t166)) % 36.85/37.07 (define @t170 () (lambda @t85 @t169)) % 36.85/37.07 (define @t171 () (or @t84 (_ @t170 @t8))) % 36.85/37.07 (define @t172 () (forall @t32 @t171)) % 36.85/37.07 (define @t173 () (or @t138 @t172)) % 36.85/37.07 (define @t174 () (lambda @t85 @t173)) % 36.85/37.07 (define @t175 () (_ @t44 @t8)) % 36.85/37.07 (define @t176 () (forall @t32 (or @t84 @t175))) % 36.85/37.07 (define @t177 () (@list @t44 @t26)) % 36.85/37.07 (define @t178 () (forall @t32 (or @t84 @t136))) % 36.85/37.07 (define @t179 () (not @t178)) % 36.85/37.07 (define @t180 () (lambda @t85 @t179)) % 36.85/37.07 (define @t181 () (or @t84 (_ @t180 @t8))) % 36.85/37.07 (define @t182 () (forall @t32 @t181)) % 36.85/37.07 (define @t183 () (or @t168 @t182)) % 36.85/37.07 (define @t184 () (lambda @t85 @t183)) % 36.85/37.07 (define @t185 () (_ tptp.b @t8)) % 36.85/37.07 (define @t186 () (or @t84 @t185)) % 36.85/37.07 (define @t187 () (_ tptp.b @t26)) % 36.85/37.07 (define @t188 () (lambda @t85 @t187)) % 36.85/37.07 (define @t189 () (_ @t188 @t8)) % 36.85/37.07 (define @t190 () (or @t84 @t189)) % 36.85/37.07 (define @t191 () (forall @t32 @t190)) % 36.85/37.07 (define @t192 () (not @t191)) % 36.85/37.07 (define @t193 () (lambda @t85 @t192)) % 36.85/37.07 (define @t194 () (_ @t38 tptp.b)) % 36.85/37.07 (define @t195 () (forall @t32 (or @t84 @t137))) % 36.85/37.07 (define @t196 () (not @t195)) % 36.85/37.07 (define @t197 () (lambda @t85 @t196)) % 36.85/37.07 (define @t198 () (or @t84 (_ @t197 @t8))) % 36.85/37.07 (define @t199 () (forall @t32 @t198)) % 36.85/37.07 (define @t200 () (or @t199 @t176)) % 36.85/37.07 (define @t201 () (lambda @t177 @t200)) % 36.85/37.07 (define @t202 () (or @t104 @t176)) % 36.85/37.07 (define @t203 () (lambda @t45 @t202)) % 36.85/37.07 (define @t204 () (_ tptp.a @t8)) % 36.85/37.07 (define @t205 () (or @t84 @t204)) % 36.85/37.07 (define @t206 () (_ tptp.a @t26)) % 36.85/37.07 (define @t207 () (lambda @t85 @t206)) % 36.85/37.07 (define @t208 () (_ @t207 @t8)) % 36.85/37.07 (define @t209 () (or @t84 @t208)) % 36.85/37.07 (define @t210 () (forall @t32 @t209)) % 36.85/37.07 (define @t211 () (not @t210)) % 36.85/37.07 (define @t212 () (lambda @t85 @t211)) % 36.85/37.07 (define @t213 () (_ @t38 tptp.a)) % 36.85/37.07 (define @t214 () (and @t204 @t185)) % 36.85/37.07 (define @t215 () (or @t84 @t214)) % 36.85/37.07 (define @t216 () (lambda @t85 (and @t206 @t187))) % 36.85/37.07 (define @t217 () (_ @t216 @t8)) % 36.85/37.07 (define @t218 () (or @t84 @t217)) % 36.85/37.07 (define @t219 () (forall @t32 @t218)) % 36.85/37.07 (define @t220 () (or @t219 @t176)) % 36.85/37.07 (define @t221 () (lambda @t177 @t220)) % 36.85/37.07 (define @t222 () (_ @t188 @t26)) % 36.85/37.07 (define @t223 () (and @t206 @t222)) % 36.85/37.07 (define @t224 () (lambda @t85 @t223)) % 36.85/37.07 (define @t225 () (_ @t44 @t26)) % 36.85/37.07 (define @t226 () (_ @t207 @t26)) % 36.85/37.07 (define @t227 () (and @t226 @t225)) % 36.85/37.07 (define @t228 () (lambda @t177 @t227)) % 36.85/37.07 (define @t229 () (and @t36 @t225)) % 36.85/37.07 (define @t230 () (lambda @t45 @t229)) % 36.85/37.07 (define @t231 () (not (tptp.irel @t17 @t8))) % 36.85/37.07 (define @t232 () (forall @t32 (or @t231 @t103))) % 36.85/37.07 (define @t233 () (@list @t17)) % 36.85/37.07 (define @t234 () (tptp.irel @t1 @t8)) % 36.85/37.07 (define @t235 () (not @t234)) % 36.85/37.07 (define @t236 () (forall @t32 (or @t235 @t103))) % 36.85/37.07 (define @t237 () (lambda @t4 @t236)) % 36.85/37.07 (define @t238 () (_ @t237 @t17)) % 36.85/37.07 (define @t239 () (not @t238)) % 36.85/37.07 (define @t240 () (lambda @t233 @t239)) % 36.85/37.07 (define @t241 () (lambda @t34 @t236)) % 36.85/37.07 (define @t242 () (not @t10)) % 36.85/37.07 (define @t243 () (or @t242 @t31)) % 36.85/37.07 (define @t244 () (forall @t32 (or @t231 @t175))) % 36.85/37.07 (define @t245 () (lambda @t4 (forall @t32 (or @t235 @t175)))) % 36.85/37.07 (define @t246 () (_ @t245 @t17)) % 36.85/37.07 (define @t247 () (or @t232 @t246)) % 36.85/37.07 (define @t248 () (lambda @t233 @t247)) % 36.85/37.07 (define @t249 () (@list @t21 @t17)) % 36.85/37.07 (define @t250 () (or @t238 @t22)) % 36.85/37.07 (define @t251 () (lambda @t249 @t250)) % 36.85/37.07 (define @t252 () (_ @t30 @t17)) % 36.85/37.07 (define @t253 () (lambda @t233 (and @t252 (_ @t44 @t17)))) % 36.85/37.07 (define @t254 () (lambda @t249 (and @t252 @t22))) % 36.85/37.07 (define @t255 () (forall @t42 @t83)) % 36.85/37.07 (define @t256 () (@quantifiers_skolemize @t255 0)) % 36.85/37.07 (define @t257 () (forall @t32 (or (not (tptp.irel @t256 @t8)) @t82))) % 36.85/37.07 (define @t258 () (not @t255)) % 36.85/37.07 (define @t259 () (not (not @t257))) % 36.85/37.07 (define @t260 () (@list true)) % 36.85/37.07 (define @t261 () (forall @t81 (or (not (tptp.irel @t256 @t76)) @t80 @t79 @t77 @t75 @t74 @t69 @t67))) % 36.85/37.07 (define @t262 () (@quantifiers_skolemize @t261 3)) % 36.85/37.07 (define @t263 () (tptp.irel @t1 @t6)) % 36.85/37.07 (define @t264 () (tptp.irel @t8 @t6)) % 36.85/37.07 (define @t265 () (not @t9)) % 36.85/37.07 (define @t266 () (or @t242 @t265 @t7)) % 36.85/37.07 (define @t267 () (@quantifiers_skolemize @t261 2)) % 36.85/37.07 (define @t268 () (@quantifiers_skolemize @t261 0)) % 36.85/37.07 (define @t269 () (@list @t256)) % 36.85/37.07 (define @t270 () (tptp.irel @t1 @t1)) % 36.85/37.07 (define @t271 () (not @t261)) % 36.85/37.07 (define @t272 () (tptp.irel @t256 @t256)) % 36.85/37.07 (define @t273 () (not @t272)) % 36.85/37.07 (define @t274 () (or @t273 @t271)) % 36.85/37.07 (define @t275 () (@list false false)) % 36.85/37.07 (define @t276 () (tptp.irel @t268 @t267)) % 36.85/37.07 (define @t277 () (@quantifiers_skolemize @t261 4)) % 36.85/37.07 (define @t278 () (forall @t73 (or (not (tptp.irel @t262 @t70)) @t71))) % 36.85/37.07 (define @t279 () (not @t278)) % 36.85/37.07 (define @t280 () (tptp.irel @t267 @t262)) % 36.85/37.07 (define @t281 () (not @t280)) % 36.85/37.07 (define @t282 () (not @t276)) % 36.85/37.07 (define @t283 () (@quantifiers_skolemize @t261 1)) % 36.85/37.07 (define @t284 () (tptp.irel @t256 @t268)) % 36.85/37.07 (define @t285 () (not @t284)) % 36.85/37.07 (define @t286 () (or @t285 (not (tptp.irel @t268 @t283)) (and (tptp.a @t283) (tptp.b @t283)) @t282 @t281 @t279 (not (tptp.irel @t267 @t277)) (not (forall @t66 (or (not (tptp.irel @t277 @t63)) @t64))))) % 36.85/37.07 (define @t287 () (@list @t286)) % 36.85/37.07 (define @t288 () (tptp.irel @t256 @t267)) % 36.85/37.07 (define @t289 () (or @t285 @t282 @t288)) % 36.85/37.07 (define @t290 () (@list false false false)) % 36.85/37.07 (define @t291 () (tptp.irel @t256 @t262)) % 36.85/37.07 (define @t292 () (not @t288)) % 36.85/37.07 (define @t293 () (or @t292 @t281 @t291)) % 36.85/37.07 (define @t294 () (forall @t81 (or (not (tptp.irel @t262 @t76)) @t80 @t79 @t77 @t75 @t74 @t69 @t67))) % 36.85/37.07 (define @t295 () (not @t294)) % 36.85/37.07 (define @t296 () (not @t291)) % 36.85/37.07 (define @t297 () (or @t296 @t295)) % 36.85/37.07 (define @t298 () (@quantifiers_skolemize @t294 4)) % 36.85/37.07 (define @t299 () (forall @t66 (or (not (tptp.irel @t298 @t63)) @t64))) % 36.85/37.07 (define @t300 () (not @t299)) % 36.85/37.07 (define @t301 () (@quantifiers_skolemize @t294 2)) % 36.85/37.07 (define @t302 () (tptp.irel @t301 @t298)) % 36.85/37.07 (define @t303 () (not @t302)) % 36.85/37.07 (define @t304 () (@quantifiers_skolemize @t294 3)) % 36.85/37.07 (define @t305 () (@quantifiers_skolemize @t294 0)) % 36.85/37.07 (define @t306 () (tptp.irel @t305 @t301)) % 36.85/37.07 (define @t307 () (not @t306)) % 36.85/37.07 (define @t308 () (@quantifiers_skolemize @t294 1)) % 36.85/37.07 (define @t309 () (tptp.irel @t262 @t305)) % 36.85/37.07 (define @t310 () (not @t309)) % 36.85/37.07 (define @t311 () (or @t310 (not (tptp.irel @t305 @t308)) (and (tptp.a @t308) (tptp.b @t308)) @t307 (not (tptp.irel @t301 @t304)) (not (forall @t73 (or (not (tptp.irel @t304 @t70)) @t71))) @t303 @t300)) % 36.85/37.07 (define @t312 () (@list @t311)) % 36.85/37.07 (define @t313 () (forall @t81 (or (not (tptp.irel @t298 @t76)) @t80 @t79 @t77 @t75 @t74 @t69 @t67))) % 36.85/37.07 (define @t314 () (@quantifiers_skolemize @t313 1)) % 36.85/37.07 (define @t315 () (@quantifiers_skolemize @t313 0)) % 36.85/37.07 (define @t316 () (tptp.irel @t262 @t301)) % 36.85/37.07 (define @t317 () (or @t310 @t307 @t316)) % 36.85/37.07 (define @t318 () (tptp.irel @t256 @t301)) % 36.85/37.07 (define @t319 () (not @t316)) % 36.85/37.07 (define @t320 () (or @t296 @t319 @t318)) % 36.85/37.07 (define @t321 () (tptp.irel @t256 @t298)) % 36.85/37.07 (define @t322 () (not @t318)) % 36.85/37.07 (define @t323 () (or @t322 @t303 @t321)) % 36.85/37.07 (define @t324 () (not @t313)) % 36.85/37.07 (define @t325 () (not @t321)) % 36.85/37.07 (define @t326 () (or @t325 @t324)) % 36.85/37.07 (define @t327 () (tptp.irel @t315 @t314)) % 36.85/37.07 (define @t328 () (@quantifiers_skolemize @t313 4)) % 36.85/37.07 (define @t329 () (@quantifiers_skolemize @t313 2)) % 36.85/37.07 (define @t330 () (@quantifiers_skolemize @t313 3)) % 36.85/37.07 (define @t331 () (tptp.b @t314)) % 36.85/37.07 (define @t332 () (tptp.a @t314)) % 36.85/37.07 (define @t333 () (and @t332 @t331)) % 36.85/37.07 (define @t334 () (not @t327)) % 36.85/37.07 (define @t335 () (tptp.irel @t298 @t315)) % 36.85/37.07 (define @t336 () (not @t335)) % 36.85/37.07 (define @t337 () (or @t336 @t334 @t333 (not (tptp.irel @t315 @t329)) (not (tptp.irel @t329 @t330)) (not (forall @t73 (or (not (tptp.irel @t330 @t70)) @t71))) (not (tptp.irel @t329 @t328)) (not (forall @t66 (or (not (tptp.irel @t328 @t63)) @t64))))) % 36.85/37.07 (define @t338 () (@list @t337)) % 36.85/37.07 (define @t339 () (tptp.irel @t298 @t314)) % 36.85/37.07 (define @t340 () (or @t336 @t334 @t339)) % 36.85/37.07 (define @t341 () (@list @t314)) % 36.85/37.07 (define @t342 () (tptp.irel @t262 @t298)) % 36.85/37.07 (define @t343 () (or @t319 @t303 @t342)) % 36.85/37.07 (define @t344 () (tptp.irel @t262 @t314)) % 36.85/37.07 (define @t345 () (not @t339)) % 36.85/37.07 (define @t346 () (not @t342)) % 36.85/37.07 (define @t347 () (or @t346 @t345 @t344)) % 36.85/37.07 (define @t348 () (not @t344)) % 36.85/37.07 (define @t349 () (or @t348 @t332)) % 36.85/37.07 (define @t350 () (@list true false)) % 36.85/37.07 (define @t351 () (or @t345 @t331)) % 36.85/37.07 (define @t352 () (not @t351)) % 36.85/37.07 (assume @p1 @t5) % 36.85/37.07 (assume @p2 @t13) % 36.85/37.07 (assume @p3 (= tptp.ifalse (_ tptp.inot tptp.itrue))) % 36.85/37.07 (assume @p4 @t16) % 36.85/37.07 (assume @p5 true) % 36.85/37.07 (step @p6 (= tptp.mnot @t20) :rule refl :args (@t20)) % 36.85/37.07 (step @p7 (= tptp.mor @t24) :rule refl :args (@t24)) % 36.85/37.07 (step @p8 (= tptp.mand @t25) :rule refl :args (@t25)) % 36.85/37.07 (step @p9 (= tptp.mimplies @t29) :rule refl :args (@t29)) % 36.85/37.07 (step @p10 (= tptp.mbox_s4 @t35) :rule refl :args (@t35)) % 36.85/37.07 (step @p11 (= tptp.iatom @t38) :rule refl :args (@t38)) % 36.85/37.07 (step @p12 (= tptp.inot @t40) :rule refl :args (@t40)) % 36.85/37.07 (step @p13 (= tptp.itrue @t43) :rule refl :args (@t43)) % 36.85/37.07 (step @p14 (= tptp.iand @t46) :rule refl :args (@t46)) % 36.85/37.07 (step @p15 (= tptp.ior @t48) :rule refl :args (@t48)) % 36.85/37.07 (step @p16 (= tptp.iimplies @t49) :rule refl :args (@t49)) % 36.85/37.07 (step @p17 (= tptp.iimplied @t51) :rule refl :args (@t51)) % 36.85/37.07 (step @p18 (= tptp.iequiv @t52) :rule refl :args (@t52)) % 36.85/37.07 (step @p19 (= tptp.ixor @t53) :rule refl :args (@t53)) % 36.85/37.07 (step @p20 (= tptp.ivalid @t58) :rule refl :args (@t58)) % 36.85/37.07 (step @p21 (= tptp.isatisfiable @t59) :rule refl :args (@t59)) % 36.85/37.07 (step @p22 (= tptp.icountersatisfiable @t61) :rule refl :args (@t61)) % 36.85/37.07 (step @p23 (= tptp.iinvalid @t62) :rule refl :args (@t62)) % 36.85/37.07 (step @p24 :rule beta-reduce :args ((= @t87 @t83))) % 36.85/37.07 (step @p25 :rule cong :premises (@p24) :args (@t88)) % 36.85/37.07 (step @p26 :rule beta-reduce :args ((= (_ @t90 @t86) @t88))) % 36.85/37.07 (step @p27 :rule trans :premises (@p26 @p25)) % 36.85/37.07 (step @p28 :rule beta-reduce :args ((= (_ (lambda @t85 (not (forall @t81 (or (not (tptp.irel @t26 @t76)) @t80 @t79 @t77 @t75 @t74 @t69 @t67)))) @t8) @t82))) % 36.85/37.07 (step @p29 :rule refl :args (@t8)) % 36.85/37.07 (step @p30 :rule alpha_equiv :args (@t95 @t96 (@list @t76))) % 36.85/37.07 (step @p31 :rule cong :premises (@p30) :args (@t97)) % 36.85/37.07 (step @p32 :rule cong :premises (@p31) :args (@t98)) % 36.85/37.07 (step @p33 :rule ho_cong :premises (@p32 @p29)) % 36.85/37.07 (step @p34 :rule trans :premises (@p33 @p28)) % 36.85/37.07 (step @p35 :rule refl :args (@t84)) % 36.85/37.07 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t99)) % 36.85/37.07 (step @p37 :rule cong :premises (@p36) :args (@t100)) % 36.85/37.07 (step @p38 :rule cong :premises (@p37) :args (@t101)) % 36.85/37.07 (step @p39 :rule cong :premises (@p38) :args (@t102)) % 36.85/37.07 (step @p40 :rule beta-reduce :args ((= (_ @t106 @t98) @t102))) % 36.85/37.07 (step @p41 :rule trans :premises (@p40 @p39)) % 36.85/37.07 (step @p42 :rule aci_norm :args ((= @t109 @t93))) % 36.85/37.07 (step @p43 :rule cong :premises (@p42) :args (@t110)) % 36.85/37.07 (step @p44 :rule quant-merge-prenex :args ((= (forall @t32 @t111) @t110))) % 36.85/37.07 (step @p45 :rule alpha_equiv :args (@t112 (@list @t68 @t72 @t65) (@list @t115 @t114 @t113))) % 36.85/37.07 (step @p46 :rule alpha_equiv :args (@t116 (@list @t78) @t118)) % 36.85/37.07 (step @p47 :rule refl :args (@t84)) % 36.85/37.07 (step @p48 :rule nary_cong :premises (@p47 @p46 @p45) :args (@t119)) % 36.85/37.07 (step @p49 :rule quant-miniscope-or :args ((= @t111 @t119))) % 36.85/37.07 (step @p50 :rule trans :premises (@p49 @p48)) % 36.85/37.07 (step @p51 :rule symm :premises (@p50)) % 36.85/37.07 (step @p52 :rule cong :premises (@p51) :args ((forall @t32 @t129))) % 36.85/37.07 (step @p53 :rule trans :premises (@p52 @p44)) % 36.85/37.07 (step @p54 :rule trans :premises (@p53 @p43)) % 36.85/37.07 (step @p55 :rule aci_norm :args ((= (or @t84 @t130) @t129))) % 36.85/37.07 (step @p56 :rule beta-reduce :args ((= (_ (lambda @t85 (or (forall @t127 (or (not (tptp.irel @t26 @t117)) @t126)) (forall @t124 (or (not (tptp.irel @t26 @t115)) @t123 @t122 @t121 @t120)))) @t8) @t130))) % 36.85/37.07 (step @p57 :rule alpha_equiv :args (@t135 @t96 (@list @t115))) % 36.85/37.07 (step @p58 :rule alpha_equiv :args (@t138 @t96 @t118)) % 36.85/37.07 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t139)) % 36.85/37.07 (step @p60 :rule cong :premises (@p59) :args (@t140)) % 36.85/37.07 (step @p61 :rule ho_cong :premises (@p60 @p29)) % 36.85/37.07 (step @p62 :rule trans :premises (@p61 @p56)) % 36.85/37.07 (step @p63 :rule nary_cong :premises (@p35 @p62) :args (@t141)) % 36.85/37.07 (step @p64 :rule trans :premises (@p63 @p55)) % 36.85/37.07 (step @p65 :rule cong :premises (@p64) :args (@t142)) % 36.85/37.07 (step @p66 :rule trans :premises (@p65 @p54)) % 36.85/37.07 (step @p67 :rule cong :premises (@p66) :args (@t143)) % 36.85/37.07 (step @p68 :rule cong :premises (@p67) :args (@t144)) % 36.85/37.07 (step @p69 :rule beta-reduce :args ((= (_ @t106 @t140) @t144))) % 36.85/37.07 (step @p70 :rule trans :premises (@p69 @p68)) % 36.85/37.07 (step @p71 :rule aci_norm :args ((= @t147 @t133))) % 36.85/37.07 (step @p72 :rule cong :premises (@p71) :args (@t148)) % 36.85/37.07 (step @p73 :rule quant-merge-prenex :args ((= (forall @t32 @t149) @t148))) % 36.85/37.07 (step @p74 :rule alpha_equiv :args (@t150 (@list @t113) @t152)) % 36.85/37.07 (step @p75 :rule alpha_equiv :args (@t153 (@list @t114) @t155)) % 36.85/37.07 (step @p76 :rule nary_cong :premises (@p47 @p75 @p74) :args (@t156)) % 36.85/37.07 (step @p77 :rule quant-miniscope-or :args ((= @t149 @t156))) % 36.85/37.07 (step @p78 :rule trans :premises (@p77 @p76)) % 36.85/37.07 (step @p79 :rule symm :premises (@p78)) % 36.85/37.07 (step @p80 :rule cong :premises (@p79) :args ((forall @t32 @t163))) % 36.85/37.07 (step @p81 :rule trans :premises (@p80 @p73)) % 36.85/37.07 (step @p82 :rule trans :premises (@p81 @p72)) % 36.85/37.07 (step @p83 :rule aci_norm :args ((= (or @t84 @t164) @t163))) % 36.85/37.07 (step @p84 :rule beta-reduce :args 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(step @p315 :rule nary_cong :premises (@p314 @p313) :args ((or (not @t258) @t257))) % 36.85/37.07 (step @p316 :rule bool-double-not-elim :args (@t257)) % 36.85/37.07 (step @p317 :rule refl :args (@t258)) % 36.85/37.07 (step @p318 :rule cong :premises (@p317 @p316) :args ((=> @t258 @t259))) % 36.85/37.07 (assume-push @p484 @t258) % 36.85/37.07 (step @p320 :rule skolemize :premises (@p312)) % 36.85/37.07 (step-pop @p485 :rule scope :premises (@p320)) % 36.85/37.07 (step @p321 :rule process_scope :premises (@p485) :args (@t259)) % 36.85/37.07 (step @p323 :rule eq_resolve :premises (@p321 @p318)) % 36.85/37.07 (step @p324 :rule implies_elim :premises (@p323)) % 36.85/37.07 (step @p325 :rule eq_resolve :premises (@p324 @p315)) % 36.85/37.07 (step @p326 :rule chain_m_resolution :premises (@p325 @p312) :args (@t257 @t260 (@list @t255))) % 36.85/37.07 (step @p327 :rule instantiate :premises (@p326) :args ((@list @t262))) % 36.85/37.07 (step @p328 :rule refl :args (@t263)) % 36.85/37.07 (step @p329 :rule refl :args (@t7)) % 36.85/37.07 (step @p330 :rule cong :premises (@p329 @p328) :args ((= @t7 @t263))) % 36.85/37.07 (step @p331 :rule symm :premises (@p330)) % 36.85/37.07 (step @p332 :rule eq_resolve :premises (@p329 @p331)) % 36.85/37.07 (step @p333 :rule refl :args (@t264)) % 36.85/37.07 (step @p334 :rule refl :args (@t9)) % 36.85/37.07 (step @p335 :rule cong :premises (@p334 @p333) :args ((= @t9 @t264))) % 36.85/37.07 (step @p336 :rule symm :premises (@p335)) % 36.85/37.07 (step @p337 :rule eq_resolve :premises (@p334 @p336)) % 36.85/37.07 (step @p338 :rule cong :premises (@p337) :args (@t265)) % 36.85/37.07 (step @p339 :rule nary_cong :premises (@p234 @p338 @p332) :args (@t266)) % 36.85/37.07 (step @p340 :rule cong :premises (@p339) :args ((forall @t12 @t266))) % 36.85/37.07 (step @p341 :rule aci_norm :args ((= (or (or @t242 @t265) @t7) @t266))) % 36.85/37.07 (step @p342 :rule bool-and-de-morgan :args (@t10 @t9 true)) % 36.85/37.07 (step @p343 :rule nary_cong :premises (@p342 @p329) :args ((or (not @t11) @t7))) % 36.85/37.07 (step @p344 :rule trans :premises (@p343 @p341)) % 36.85/37.07 (step @p345 :rule bool-impl-elim :args (@t11 @t7)) % 36.85/37.07 (step @p346 :rule trans :premises (@p345 @p344)) % 36.85/37.07 (step @p347 :rule cong :premises (@p346) :args (@t13)) % 36.85/37.07 (step @p348 :rule trans :premises (@p347 @p340)) % 36.85/37.07 (step @p349 :rule eq_resolve :premises (@p2 @p348)) % 36.85/37.07 (step @p350 :rule instantiate :premises (@p349) :args ((@list @t256 @t267 @t262))) % 36.85/37.07 (step @p351 :rule instantiate :premises (@p349) :args ((@list @t256 @t268 @t267))) % 36.85/37.07 (step @p352 :rule instantiate :premises (@p326) :args (@t269)) % 36.85/37.07 (step @p353 :rule refl :args (@t270)) % 36.85/37.07 (step @p354 :rule refl :args (@t3)) % 36.85/37.07 (step @p355 :rule cong :premises (@p354 @p353) :args ((= @t3 @t270))) % 36.85/37.07 (step @p356 :rule symm :premises (@p355)) % 36.85/37.07 (step @p357 :rule eq_resolve :premises (@p354 @p356)) % 36.85/37.07 (step @p358 :rule cong :premises (@p357) :args (@t5)) % 36.85/37.07 (step @p359 :rule eq_resolve :premises (@p1 @p358)) % 36.85/37.07 (step @p360 :rule instantiate :premises (@p359) :args (@t269)) % 36.85/37.07 (step @p361 :rule cnf_or_pos :args (@t274)) % 36.85/37.07 (step @p362 :rule reordering :premises (@p361) :args ((or @t273 @t271 (not @t274)))) % 36.85/37.07 (step @p363 :rule chain_m_resolution :premises (@p362 @p360 @p352) :args (@t271 @t275 (@list @t272 @t274))) % 36.85/37.07 (step @p364 :rule skolemize :premises (@p363)) % 36.85/37.07 (step @p365 :rule bool-double-not-elim :args (@t276)) % 36.85/37.07 (step @p366 :rule refl :args (@t286)) % 36.85/37.07 (step @p367 :rule nary_cong :premises (@p366 @p365) :args ((or @t286 (not @t282)))) % 36.85/37.07 (step @p368 :rule cnf_or_neg :args (@t286 3)) % 36.85/37.07 (step @p369 :rule eq_resolve :premises (@p368 @p367)) % 36.85/37.07 (step @p370 :rule reordering :premises (@p369) :args ((or @t276 @t286))) % 36.85/37.07 (step @p371 :rule chain_m_resolution :premises (@p370 @p364) :args (@t276 @t260 @t287)) % 36.85/37.07 (step @p372 :rule bool-double-not-elim :args (@t284)) % 36.85/37.07 (step @p373 :rule nary_cong :premises (@p366 @p372) :args ((or @t286 (not @t285)))) % 36.85/37.07 (step @p374 :rule cnf_or_neg :args (@t286 0)) % 36.85/37.07 (step @p375 :rule eq_resolve :premises (@p374 @p373)) % 36.85/37.07 (step @p376 :rule reordering :premises (@p375) :args ((or @t284 @t286))) % 36.85/37.07 (step @p377 :rule chain_m_resolution :premises (@p376 @p364) :args (@t284 @t260 @t287)) % 36.85/37.07 (step @p378 :rule cnf_or_pos :args (@t289)) % 36.85/37.07 (step @p379 :rule reordering :premises (@p378) :args ((or @t285 @t282 @t288 (not @t289)))) % 36.85/37.07 (step @p380 :rule chain_m_resolution :premises (@p379 @p377 @p371 @p351) :args (@t288 @t290 (@list @t284 @t276 @t289))) % 36.85/37.07 (step @p381 :rule bool-double-not-elim :args (@t280)) % 36.85/37.07 (step @p382 :rule nary_cong :premises (@p366 @p381) :args ((or @t286 (not @t281)))) % 36.85/37.07 (step @p383 :rule cnf_or_neg :args (@t286 4)) % 36.85/37.07 (step @p384 :rule eq_resolve :premises (@p383 @p382)) % 36.85/37.07 (step @p385 :rule reordering :premises (@p384) :args ((or @t280 @t286))) % 36.85/37.07 (step @p386 :rule chain_m_resolution :premises (@p385 @p364) :args (@t280 @t260 @t287)) % 36.85/37.07 (step @p387 :rule cnf_or_pos :args (@t293)) % 36.85/37.07 (step @p388 :rule reordering :premises (@p387) :args ((or @t281 @t292 @t291 (not @t293)))) % 36.85/37.07 (step @p389 :rule chain_m_resolution :premises (@p388 @p386 @p380 @p350) :args (@t291 @t290 (@list @t280 @t288 @t293))) % 36.85/37.07 (step @p390 :rule cnf_or_pos :args (@t297)) % 36.85/37.07 (step @p391 :rule reordering :premises (@p390) :args ((or @t296 @t295 (not @t297)))) % 36.85/37.07 (step @p392 :rule chain_m_resolution :premises (@p391 @p389 @p327) :args (@t295 @t275 (@list @t291 @t297))) % 36.85/37.07 (step @p393 :rule skolemize :premises (@p392)) % 36.85/37.07 (step @p394 :rule bool-double-not-elim :args (@t299)) % 36.85/37.07 (step @p395 :rule refl :args (@t311)) % 36.85/37.07 (step @p396 :rule nary_cong :premises (@p395 @p394) :args ((or @t311 (not @t300)))) % 36.85/37.07 (step @p397 :rule cnf_or_neg :args (@t311 7)) % 36.85/37.07 (step @p398 :rule eq_resolve :premises (@p397 @p396)) % 36.85/37.07 (step @p399 :rule reordering :premises (@p398) :args ((or @t299 @t311))) % 36.85/37.07 (step @p400 :rule chain_m_resolution :premises (@p399 @p393) :args (@t299 @t260 @t312)) % 36.85/37.07 (step @p401 :rule instantiate :premises (@p349) :args ((@list @t298 @t315 @t314))) % 36.85/37.07 (step @p402 :rule instantiate :premises (@p326) :args ((@list @t298))) % 36.85/37.07 (step @p403 :rule instantiate :premises (@p349) :args ((@list @t256 @t301 @t298))) % 36.85/37.07 (step @p404 :rule instantiate :premises (@p349) :args ((@list @t256 @t262 @t301))) % 36.85/37.07 (step @p405 :rule instantiate :premises (@p349) :args ((@list @t262 @t305 @t301))) % 36.85/37.07 (step @p406 :rule bool-double-not-elim :args (@t306)) % 36.85/37.07 (step @p407 :rule nary_cong :premises (@p395 @p406) :args ((or @t311 (not @t307)))) % 36.85/37.07 (step @p408 :rule cnf_or_neg :args (@t311 3)) % 36.85/37.07 (step @p409 :rule eq_resolve :premises (@p408 @p407)) % 36.85/37.07 (step @p410 :rule reordering :premises (@p409) :args ((or @t306 @t311))) % 36.85/37.07 (step @p411 :rule chain_m_resolution :premises (@p410 @p393) :args (@t306 @t260 @t312)) % 36.85/37.07 (step @p412 :rule bool-double-not-elim :args (@t309)) % 36.85/37.07 (step @p413 :rule nary_cong :premises (@p395 @p412) :args ((or @t311 (not @t310)))) % 36.85/37.07 (step @p414 :rule cnf_or_neg :args (@t311 0)) % 36.85/37.07 (step @p415 :rule eq_resolve :premises (@p414 @p413)) % 36.85/37.07 (step @p416 :rule reordering :premises (@p415) :args ((or @t309 @t311))) % 36.85/37.08 (step @p417 :rule chain_m_resolution :premises (@p416 @p393) :args (@t309 @t260 @t312)) % 36.85/37.08 (step @p418 :rule cnf_or_pos :args (@t317)) % 36.85/37.08 (step @p419 :rule reordering :premises (@p418) :args ((or @t310 @t307 @t316 (not @t317)))) % 36.85/37.08 (step @p420 :rule chain_m_resolution :premises (@p419 @p417 @p411 @p405) :args (@t316 @t290 (@list @t309 @t306 @t317))) % 36.85/37.08 (step @p421 :rule cnf_or_pos :args (@t320)) % 36.85/37.08 (step @p422 :rule reordering :premises (@p421) :args ((or @t296 @t319 @t318 (not @t320)))) % 36.85/37.08 (step @p423 :rule chain_m_resolution :premises (@p422 @p389 @p420 @p404) :args (@t318 @t290 (@list @t291 @t316 @t320))) % 36.85/37.08 (step @p424 :rule bool-double-not-elim :args (@t302)) % 36.85/37.08 (step @p425 :rule nary_cong :premises (@p395 @p424) :args ((or @t311 (not @t303)))) % 36.85/37.08 (step @p426 :rule cnf_or_neg :args (@t311 6)) % 36.85/37.08 (step @p427 :rule eq_resolve :premises (@p426 @p425)) % 36.85/37.08 (step @p428 :rule reordering :premises (@p427) :args ((or @t302 @t311))) % 36.85/37.08 (step @p429 :rule chain_m_resolution :premises (@p428 @p393) :args (@t302 @t260 @t312)) % 36.85/37.08 (step @p430 :rule cnf_or_pos :args (@t323)) % 36.85/37.08 (step @p431 :rule reordering :premises (@p430) :args ((or @t303 @t322 @t321 (not @t323)))) % 36.85/37.08 (step @p432 :rule chain_m_resolution :premises (@p431 @p429 @p423 @p403) :args (@t321 @t290 (@list @t302 @t318 @t323))) % 36.85/37.08 (step @p433 :rule cnf_or_pos :args (@t326)) % 36.85/37.08 (step @p434 :rule reordering :premises (@p433) :args ((or @t325 @t324 (not @t326)))) % 36.85/37.08 (step @p435 :rule chain_m_resolution :premises (@p434 @p432 @p402) :args (@t324 @t275 (@list @t321 @t326))) % 36.85/37.08 (step @p436 :rule skolemize :premises (@p435)) % 36.85/37.08 (step @p437 :rule bool-double-not-elim :args (@t327)) % 36.85/37.08 (step @p438 :rule refl :args (@t337)) % 36.85/37.08 (step @p439 :rule nary_cong :premises (@p438 @p437) :args ((or @t337 (not @t334)))) % 36.85/37.08 (step @p440 :rule cnf_or_neg :args (@t337 1)) % 36.85/37.08 (step @p441 :rule eq_resolve :premises (@p440 @p439)) % 36.85/37.08 (step @p442 :rule reordering :premises (@p441) :args ((or @t327 @t337))) % 36.85/37.08 (step @p443 :rule chain_m_resolution :premises (@p442 @p436) :args (@t327 @t260 @t338)) % 36.85/37.08 (step @p444 :rule bool-double-not-elim :args (@t335)) % 36.85/37.08 (step @p445 :rule nary_cong :premises (@p438 @p444) :args ((or @t337 (not @t336)))) % 36.85/37.08 (step @p446 :rule cnf_or_neg :args (@t337 0)) % 36.85/37.08 (step @p447 :rule eq_resolve :premises (@p446 @p445)) % 36.85/37.08 (step @p448 :rule reordering :premises (@p447) :args ((or @t335 @t337))) % 36.85/37.08 (step @p449 :rule chain_m_resolution :premises (@p448 @p436) :args (@t335 @t260 @t338)) % 36.85/37.08 (step @p450 :rule cnf_or_pos :args (@t340)) % 36.85/37.08 (step @p451 :rule reordering :premises (@p450) :args ((or @t336 @t334 @t339 (not @t340)))) % 36.85/37.08 (step @p452 :rule chain_m_resolution :premises (@p451 @p449 @p443 @p401) :args (@t339 @t290 (@list @t335 @t327 @t340))) % 36.85/37.08 (step @p453 :rule bool-double-not-elim :args (@t278)) % 36.85/37.08 (step @p454 :rule nary_cong :premises (@p366 @p453) :args ((or @t286 (not @t279)))) % 36.85/37.08 (step @p455 :rule cnf_or_neg :args (@t286 5)) % 36.85/37.08 (step @p456 :rule eq_resolve :premises (@p455 @p454)) % 36.85/37.08 (step @p457 :rule reordering :premises (@p456) :args ((or @t278 @t286))) % 36.85/37.08 (step @p458 :rule chain_m_resolution :premises (@p457 @p364) :args (@t278 @t260 @t287)) % 36.85/37.08 (step @p459 :rule instantiate :premises (@p458) :args (@t341)) % 36.85/37.08 (step @p460 :rule instantiate :premises (@p349) :args ((@list @t262 @t298 @t314))) % 36.85/37.08 (step @p461 :rule instantiate :premises (@p349) :args ((@list @t262 @t301 @t298))) % 36.85/37.08 (step @p462 :rule cnf_or_pos :args (@t343)) % 36.85/37.08 (step @p463 :rule reordering :premises (@p462) :args ((or @t303 @t319 @t342 (not @t343)))) % 36.85/37.08 (step @p464 :rule chain_m_resolution :premises (@p463 @p429 @p420 @p461) :args (@t342 @t290 (@list @t302 @t316 @t343))) % 36.85/37.08 (step @p465 :rule cnf_or_pos :args (@t347)) % 36.85/37.08 (step @p466 :rule reordering :premises (@p465) :args ((or @t346 @t344 @t345 (not @t347)))) % 36.85/37.08 (step @p467 :rule chain_m_resolution :premises (@p466 @p464 @p452 @p460) :args (@t344 @t290 (@list @t342 @t339 @t347))) % 36.85/37.08 (step @p468 :rule cnf_or_pos :args (@t349)) % 36.85/37.08 (step @p469 :rule reordering :premises (@p468) :args ((or @t332 @t348 (not @t349)))) % 36.85/37.08 (step @p470 :rule chain_m_resolution :premises (@p469 @p467 @p459) :args (@t332 @t275 (@list @t344 @t349))) % 36.85/37.08 (step @p471 :rule cnf_or_neg :args (@t337 2)) % 36.85/37.08 (step @p472 :rule chain_m_resolution :premises (@p471 @p436) :args ((not @t333) @t260 @t338)) % 36.85/37.08 (step @p473 :rule cnf_and_neg :args (@t333)) % 36.85/37.08 (step @p474 :rule chain_m_resolution :premises (@p473 @p472 @p470) :args ((not @t331) @t350 (@list @t333 @t332))) % 36.85/37.08 (step @p475 :rule cnf_or_pos :args (@t351)) % 36.85/37.08 (step @p476 :rule reordering :premises (@p475) :args ((or @t331 @t345 @t352))) % 36.85/37.08 (step @p477 :rule chain_m_resolution :premises (@p476 @p474 @p452) :args (@t352 @t350 (@list @t331 @t339))) % 36.85/37.08 (assume-push @p486 @t299) % 36.85/37.08 (step @p479 :rule instantiate :premises (@p400) :args (@t341)) % 36.85/37.08 (step-pop @p487 :rule scope :premises (@p479)) % 36.85/37.08 (step @p480 :rule process_scope :premises (@p487) :args (@t351)) % 36.85/37.08 (step @p482 :rule implies_elim :premises (@p480)) % 36.85/37.08 (step @p483 false :rule chain_m_resolution :premises (@p482 @p477 @p400) :args (false @t350 (@list @t351 @t299))) % 36.85/37.08 ) % 36.85/37.08 % SZS output end Proof % 36.85/37.08 % cvc5 exiting %------------------------------------------------------------------------------