%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN393^4.002 : 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 : n029.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 09:08:47 AM UTC 2026 % Result : Theorem 0.47s 0.67s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN393^4.002 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n029.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 23:25:47 EDT 2026 % 0.16/0.35 % CPUTime : % 0.34/0.51 %----Proving TH0 % 0.47/0.67 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.47/0.67 % SZS status Theorem % 0.47/0.67 % SZS output start Proof % 0.47/0.67 ( % 0.47/0.67 (declare-sort $$unsorted 0) % 0.47/0.67 (declare-const tptp.irel (-> $$unsorted $$unsorted Bool)) % 0.47/0.67 (declare-const tptp.a2 (-> $$unsorted Bool)) % 0.47/0.67 (declare-const tptp.a1 (-> $$unsorted Bool)) % 0.47/0.67 (declare-const tptp.ifalse (-> $$unsorted Bool)) % 0.47/0.67 (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)))))) % 0.47/0.67 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.47/0.67 (define tptp.mand () (let ((_let_1 (@var "U" $$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))))))) % 0.47/0.67 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.47/0.67 (define tptp.mbox_s4 () (let ((_let_1 (@var "Y" $$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)))))))) % 0.47/0.67 (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))))) % 0.47/0.67 (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))))) % 0.47/0.67 (define tptp.itrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.47/0.67 (define tptp.iand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.47/0.67 (define tptp.ior () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1)))))) % 0.47/0.67 (define tptp.iimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.47/0.67 (define tptp.iimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iimplies _let_3) _let_2) _let_1)))))) % 0.47/0.67 (define tptp.iequiv () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.47/0.67 (define tptp.ixor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.inot (_ (_ tptp.iequiv _let_3) _let_2)) _let_1)))))) % 0.47/0.67 (define tptp.ivalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.47/0.67 (define tptp.isatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.47/0.67 (define tptp.icountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.47/0.67 (define tptp.iinvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.47/0.67 (define @t1 () (@var "X" $$unsorted)) % 0.47/0.67 (define @t2 () (_ tptp.irel @t1)) % 0.47/0.67 (define @t3 () (@list @t1)) % 0.47/0.67 (define @t4 () (@var "Z" $$unsorted)) % 0.47/0.67 (define @t5 () (@var "Y" $$unsorted)) % 0.47/0.67 (define @t6 () (_ @t2 @t5)) % 0.47/0.67 (define @t7 () (_ tptp.iatom tptp.a1)) % 0.47/0.67 (define @t8 () (_ tptp.iatom tptp.a2)) % 0.47/0.67 (define @t9 () (not (_ tptp.ivalid (_ (_ tptp.iequiv (_ (_ tptp.iequiv @t7) @t8)) (_ (_ tptp.iequiv @t8) @t7))))) % 0.47/0.67 (define @t10 () (@var "U" $$unsorted)) % 0.47/0.67 (define @t11 () (@var "X" (-> $$unsorted Bool))) % 0.47/0.67 (define @t12 () (_ @t11 @t10)) % 0.47/0.67 (define @t13 () (lambda (@list @t11 @t10) (not @t12))) % 0.47/0.67 (define @t14 () (@var "Y" (-> $$unsorted Bool))) % 0.47/0.67 (define @t15 () (_ @t14 @t10)) % 0.47/0.67 (define @t16 () (@list @t11 @t14 @t10)) % 0.47/0.67 (define @t17 () (lambda @t16 (or @t12 @t15))) % 0.47/0.67 (define @t18 () (lambda @t16 (and @t12 @t15))) % 0.47/0.67 (define @t19 () (@var "__flatten_var_0" $$unsorted)) % 0.47/0.67 (define @t20 () (@var "V" (-> $$unsorted Bool))) % 0.47/0.67 (define @t21 () (@var "U" (-> $$unsorted Bool))) % 0.47/0.67 (define @t22 () (@list @t21 @t20 @t19)) % 0.47/0.67 (define @t23 () (lambda @t22 (_ (_ (_ tptp.mor (_ tptp.mnot @t21)) @t20) @t19))) % 0.47/0.67 (define @t24 () (@var "P" (-> $$unsorted Bool))) % 0.47/0.67 (define @t25 () (_ @t24 @t5)) % 0.47/0.67 (define @t26 () (@list @t5)) % 0.47/0.67 (define @t27 () (forall @t26 (=> @t6 @t25))) % 0.47/0.67 (define @t28 () (@list @t24 @t1)) % 0.47/0.67 (define @t29 () (lambda @t28 @t27)) % 0.47/0.67 (define @t30 () (_ @t24 @t19)) % 0.47/0.67 (define @t31 () (@list @t24 @t19)) % 0.47/0.67 (define @t32 () (lambda @t31 @t30)) % 0.47/0.67 (define @t33 () (_ tptp.mbox_s4 @t24)) % 0.47/0.67 (define @t34 () (lambda @t31 (_ (_ tptp.mnot @t33) @t19))) % 0.47/0.67 (define @t35 () (@var "W" $$unsorted)) % 0.47/0.67 (define @t36 () (@list @t35)) % 0.47/0.67 (define @t37 () (lambda @t36 true)) % 0.47/0.67 (define @t38 () (@var "Q" (-> $$unsorted Bool))) % 0.47/0.67 (define @t39 () (@list @t24 @t38 @t19)) % 0.47/0.67 (define @t40 () (lambda @t39 (_ (_ (_ tptp.mand @t24) @t38) @t19))) % 0.47/0.67 (define @t41 () (_ tptp.mbox_s4 @t38)) % 0.47/0.67 (define @t42 () (lambda @t39 (_ (_ (_ tptp.mor @t33) @t41) @t19))) % 0.47/0.67 (define @t43 () (lambda @t39 (_ (_ (_ tptp.mimplies @t33) @t41) @t19))) % 0.47/0.67 (define @t44 () (_ (_ tptp.iimplies @t38) @t24)) % 0.47/0.67 (define @t45 () (lambda @t39 (_ @t44 @t19))) % 0.47/0.67 (define @t46 () (lambda @t39 (_ (_ (_ tptp.iand (_ (_ tptp.iimplies @t24) @t38)) @t44) @t19))) % 0.47/0.67 (define @t47 () (lambda @t39 (_ (_ tptp.inot (_ (_ tptp.iequiv @t24) @t38)) @t19))) % 0.47/0.67 (define @t48 () (@var "Phi" (-> $$unsorted Bool))) % 0.47/0.67 (define @t49 () (_ @t48 @t35)) % 0.47/0.67 (define @t50 () (forall @t36 @t49)) % 0.47/0.67 (define @t51 () (@list @t48)) % 0.47/0.67 (define @t52 () (lambda @t51 @t50)) % 0.47/0.67 (define @t53 () (lambda @t51 (exists @t36 @t49))) % 0.47/0.67 (define @t54 () (not @t49)) % 0.47/0.67 (define @t55 () (lambda @t51 (exists @t36 @t54))) % 0.47/0.67 (define @t56 () (lambda @t51 (forall @t36 @t54))) % 0.47/0.67 (define @t57 () (@var "BOUND_VARIABLE_8122" $$unsorted)) % 0.47/0.67 (define @t58 () (tptp.a1 @t57)) % 0.47/0.67 (define @t59 () (not (tptp.irel @t5 @t57))) % 0.47/0.67 (define @t60 () (@var "BOUND_VARIABLE_8085" $$unsorted)) % 0.47/0.67 (define @t61 () (tptp.a2 @t60)) % 0.47/0.67 (define @t62 () (@list @t60)) % 0.47/0.67 (define @t63 () (forall @t62 (or (not (tptp.irel @t5 @t60)) @t61))) % 0.47/0.67 (define @t64 () (not @t63)) % 0.47/0.67 (define @t65 () (or @t64 @t59 @t58)) % 0.47/0.67 (define @t66 () (@var "BOUND_VARIABLE_8115" $$unsorted)) % 0.47/0.67 (define @t67 () (tptp.a2 @t66)) % 0.47/0.67 (define @t68 () (not (tptp.irel @t5 @t66))) % 0.47/0.67 (define @t69 () (@var "BOUND_VARIABLE_8077" $$unsorted)) % 0.47/0.67 (define @t70 () (tptp.a1 @t69)) % 0.47/0.67 (define @t71 () (@list @t69)) % 0.47/0.67 (define @t72 () (forall @t71 (or (not (tptp.irel @t5 @t69)) @t70))) % 0.47/0.67 (define @t73 () (not @t72)) % 0.47/0.67 (define @t74 () (or @t73 @t68 @t67)) % 0.47/0.67 (define @t75 () (and @t74 @t65)) % 0.47/0.67 (define @t76 () (@var "BOUND_VARIABLE_8280" $$unsorted)) % 0.47/0.67 (define @t77 () (@var "BOUND_VARIABLE_8276" $$unsorted)) % 0.47/0.67 (define @t78 () (@var "BOUND_VARIABLE_8178" $$unsorted)) % 0.47/0.67 (define @t79 () (tptp.a1 @t78)) % 0.47/0.67 (define @t80 () (@list @t78)) % 0.47/0.67 (define @t81 () (@var "BOUND_VARIABLE_8278" $$unsorted)) % 0.47/0.67 (define @t82 () (@var "BOUND_VARIABLE_8170" $$unsorted)) % 0.47/0.67 (define @t83 () (tptp.a2 @t82)) % 0.47/0.67 (define @t84 () (@list @t82)) % 0.47/0.67 (define @t85 () (and (or (not (forall @t84 (or (not (tptp.irel @t77 @t82)) @t83))) (not (tptp.irel @t77 @t81)) (tptp.a1 @t81)) (or (not (forall @t80 (or (not (tptp.irel @t77 @t78)) @t79))) (not (tptp.irel @t77 @t76)) (tptp.a2 @t76)))) % 0.47/0.67 (define @t86 () (@var "BOUND_VARIABLE_8251" $$unsorted)) % 0.47/0.67 (define @t87 () (not (tptp.irel @t86 @t77))) % 0.47/0.67 (define @t88 () (not (tptp.irel @t86 @t5))) % 0.47/0.67 (define @t89 () (@list @t5 @t66 @t57)) % 0.47/0.67 (define @t90 () (not (forall @t89 (or @t88 @t75)))) % 0.47/0.67 (define @t91 () (or @t90 @t87 @t85)) % 0.47/0.67 (define @t92 () (@list @t86 @t77 @t81 @t76)) % 0.47/0.67 (define @t93 () (forall @t92 @t91)) % 0.47/0.67 (define @t94 () (@quantifiers_skolemize @t93 0)) % 0.47/0.67 (define @t95 () (forall @t89 (or (not (tptp.irel @t94 @t5)) @t75))) % 0.47/0.67 (define @t96 () (@quantifiers_skolemize @t93 3)) % 0.47/0.67 (define @t97 () (tptp.a2 @t96)) % 0.47/0.67 (define @t98 () (@quantifiers_skolemize @t93 1)) % 0.47/0.67 (define @t99 () (tptp.irel @t98 @t96)) % 0.47/0.67 (define @t100 () (not @t99)) % 0.47/0.67 (define @t101 () (forall @t80 (or (not (tptp.irel @t98 @t78)) @t79))) % 0.47/0.67 (define @t102 () (not @t101)) % 0.47/0.67 (define @t103 () (or @t102 @t100 @t97)) % 0.47/0.67 (define @t104 () (@quantifiers_skolemize @t93 2)) % 0.47/0.67 (define @t105 () (tptp.a1 @t104)) % 0.47/0.67 (define @t106 () (tptp.irel @t98 @t104)) % 0.47/0.67 (define @t107 () (not @t106)) % 0.47/0.67 (define @t108 () (forall @t84 (or (not (tptp.irel @t98 @t82)) @t83))) % 0.47/0.67 (define @t109 () (not @t108)) % 0.47/0.67 (define @t110 () (or @t109 @t107 @t105)) % 0.47/0.67 (define @t111 () (and @t110 @t103)) % 0.47/0.67 (define @t112 () (tptp.irel @t94 @t98)) % 0.47/0.67 (define @t113 () (not @t112)) % 0.47/0.67 (define @t114 () (not @t95)) % 0.47/0.67 (define @t115 () (or @t114 @t113 @t111)) % 0.47/0.67 (define @t116 () (forall @t62 (or (not (tptp.irel @t98 @t60)) @t61))) % 0.47/0.67 (define @t117 () (not @t116)) % 0.47/0.67 (define @t118 () (or @t117 @t107 @t105)) % 0.47/0.67 (define @t119 () (forall @t71 (or (not (tptp.irel @t98 @t69)) @t70))) % 0.47/0.67 (define @t120 () (not @t119)) % 0.47/0.67 (define @t121 () (and (or @t120 @t107 (tptp.a2 @t104)) @t118)) % 0.47/0.67 (define @t122 () (or @t113 @t121)) % 0.47/0.67 (define @t123 () (@quantifiers_skolemize @t108 0)) % 0.47/0.67 (define @t124 () (tptp.a2 @t123)) % 0.47/0.67 (define @t125 () (tptp.irel @t98 @t123)) % 0.47/0.67 (define @t126 () (not @t125)) % 0.47/0.67 (define @t127 () (or @t120 @t126 @t124)) % 0.47/0.67 (define @t128 () (and @t127 @t118)) % 0.47/0.67 (define @t129 () (or @t113 @t128)) % 0.47/0.67 (define @t130 () (@list @t82)) % 0.47/0.67 (define @t131 () (@list @t60)) % 0.47/0.67 (define @t132 () (or @t100 @t97)) % 0.47/0.67 (define @t133 () (not @t132)) % 0.47/0.67 (define @t134 () (@list true false)) % 0.47/0.67 (define @t135 () (not @t118)) % 0.47/0.67 (define @t136 () (not @t109)) % 0.47/0.67 (define @t137 () (or @t126 @t124)) % 0.47/0.67 (define @t138 () (not @t137)) % 0.47/0.67 (define @t139 () (@list @t78)) % 0.47/0.67 (define @t140 () (@list @t69)) % 0.47/0.67 (define @t141 () (not @t115)) % 0.47/0.67 (define @t142 () (not @t93)) % 0.47/0.67 (define @t143 () (@list false)) % 0.47/0.67 (define @t144 () (@var "BOUND_VARIABLE_8313" $$unsorted)) % 0.47/0.67 (define @t145 () (@var "BOUND_VARIABLE_8309" $$unsorted)) % 0.47/0.67 (define @t146 () (@var "BOUND_VARIABLE_8311" $$unsorted)) % 0.47/0.67 (define @t147 () (and (or (not (forall @t71 (or (not (tptp.irel @t145 @t69)) @t70))) (not (tptp.irel @t145 @t146)) (tptp.a2 @t146)) (or (not (forall @t62 (or (not (tptp.irel @t145 @t60)) @t61))) (not (tptp.irel @t145 @t144)) (tptp.a1 @t144)))) % 0.47/0.67 (define @t148 () (@var "BOUND_VARIABLE_8263" $$unsorted)) % 0.47/0.67 (define @t149 () (not (tptp.irel @t148 @t145))) % 0.47/0.67 (define @t150 () (@var "BOUND_VARIABLE_8215" $$unsorted)) % 0.47/0.67 (define @t151 () (tptp.a2 @t150)) % 0.47/0.67 (define @t152 () (not (tptp.irel @t5 @t150))) % 0.47/0.67 (define @t153 () (forall @t80 (or (not (tptp.irel @t5 @t78)) @t79))) % 0.47/0.67 (define @t154 () (not @t153)) % 0.47/0.67 (define @t155 () (or @t154 @t152 @t151)) % 0.47/0.67 (define @t156 () (@var "BOUND_VARIABLE_8208" $$unsorted)) % 0.47/0.67 (define @t157 () (tptp.a1 @t156)) % 0.47/0.67 (define @t158 () (not (tptp.irel @t5 @t156))) % 0.47/0.67 (define @t159 () (forall @t84 (or (not (tptp.irel @t5 @t82)) @t83))) % 0.47/0.67 (define @t160 () (not @t159)) % 0.47/0.67 (define @t161 () (or @t160 @t158 @t157)) % 0.47/0.67 (define @t162 () (and @t161 @t155)) % 0.47/0.67 (define @t163 () (not (tptp.irel @t148 @t5))) % 0.47/0.67 (define @t164 () (@list @t5 @t156 @t150)) % 0.47/0.67 (define @t165 () (not (forall @t164 (or @t163 @t162)))) % 0.47/0.67 (define @t166 () (or @t165 @t149 @t147)) % 0.47/0.67 (define @t167 () (or @t149 @t147)) % 0.47/0.67 (define @t168 () (or @t165 @t167)) % 0.47/0.67 (define @t169 () (@list @t148 @t145 @t146 @t144)) % 0.47/0.67 (define @t170 () (forall @t169 @t168)) % 0.47/0.67 (define @t171 () (@list @t145 @t146 @t144)) % 0.47/0.67 (define @t172 () (forall @t171 @t168)) % 0.47/0.67 (define @t173 () (@list @t148)) % 0.47/0.67 (define @t174 () (forall @t171 @t167)) % 0.47/0.67 (define @t175 () (or @t165 @t174)) % 0.47/0.67 (define @t176 () (forall @t173 (or @t165 (forall @t89 (or @t163 @t75))))) % 0.47/0.67 (define @t177 () (or @t87 @t85)) % 0.47/0.67 (define @t178 () (or @t90 @t177)) % 0.47/0.67 (define @t179 () (forall @t92 @t178)) % 0.47/0.67 (define @t180 () (@list @t77 @t81 @t76)) % 0.47/0.67 (define @t181 () (forall @t180 @t178)) % 0.47/0.67 (define @t182 () (@list @t86)) % 0.47/0.67 (define @t183 () (forall @t180 @t177)) % 0.47/0.67 (define @t184 () (or @t90 @t183)) % 0.47/0.67 (define @t185 () (forall @t182 (or @t90 (forall @t164 (or @t88 @t162))))) % 0.47/0.67 (define @t186 () (not (tptp.irel @t35 @t5))) % 0.47/0.67 (define @t187 () (forall @t89 (or @t186 @t75))) % 0.47/0.67 (define @t188 () (forall @t164 (or @t186 @t162))) % 0.47/0.67 (define @t189 () (or (not @t188) @t187)) % 0.47/0.67 (define @t190 () (forall @t36 @t189)) % 0.47/0.67 (define @t191 () (@list @t35)) % 0.47/0.67 (define @t192 () (or (not @t187) @t188)) % 0.47/0.67 (define @t193 () (forall @t36 @t192)) % 0.47/0.67 (define @t194 () (and @t193 @t190)) % 0.47/0.67 (define @t195 () (and @t192 @t189)) % 0.47/0.67 (define @t196 () (not (tptp.irel @t19 @t5))) % 0.47/0.67 (define @t197 () (forall @t89 (or @t196 @t75))) % 0.47/0.67 (define @t198 () (forall @t164 (or @t196 @t162))) % 0.47/0.67 (define @t199 () (not @t197)) % 0.47/0.67 (define @t200 () (@list @t19)) % 0.47/0.67 (define @t201 () (lambda @t200 (and (or @t199 @t198) (or (not @t198) @t197)))) % 0.47/0.67 (define @t202 () (_ @t201 @t35)) % 0.47/0.67 (define @t203 () (forall @t36 @t202)) % 0.47/0.67 (define @t204 () (_ @t48 @t35)) % 0.47/0.67 (define @t205 () (lambda @t51 (forall @t36 @t204))) % 0.47/0.67 (define @t206 () (or @t152 @t151)) % 0.47/0.67 (define @t207 () (or @t154 @t206)) % 0.47/0.67 (define @t208 () (or @t158 @t157)) % 0.47/0.67 (define @t209 () (or @t160 @t208)) % 0.47/0.67 (define @t210 () (and @t209 @t207)) % 0.47/0.67 (define @t211 () (or @t196 @t210)) % 0.47/0.67 (define @t212 () (forall @t164 @t211)) % 0.47/0.67 (define @t213 () (@list @t156 @t150)) % 0.47/0.67 (define @t214 () (forall @t213 @t211)) % 0.47/0.67 (define @t215 () (@list @t150)) % 0.47/0.67 (define @t216 () (forall @t215 @t206)) % 0.47/0.67 (define @t217 () (or @t154 @t216)) % 0.47/0.67 (define @t218 () (forall @t215 @t207)) % 0.47/0.67 (define @t219 () (forall @t213 @t207)) % 0.47/0.67 (define @t220 () (@list @t156)) % 0.47/0.67 (define @t221 () (forall @t220 @t208)) % 0.47/0.67 (define @t222 () (or @t160 @t221)) % 0.47/0.67 (define @t223 () (forall @t220 @t209)) % 0.47/0.67 (define @t224 () (forall @t213 @t209)) % 0.47/0.67 (define @t225 () (and @t224 @t219)) % 0.47/0.67 (define @t226 () (forall @t213 @t210)) % 0.47/0.67 (define @t227 () (or @t196 @t226)) % 0.47/0.67 (define @t228 () (and (or @t160 @t153) (or @t154 @t159))) % 0.47/0.67 (define @t229 () (forall @t84 (or (not (tptp.irel @t19 @t82)) @t83))) % 0.47/0.67 (define @t230 () (forall @t80 (or (not (tptp.irel @t19 @t78)) @t79))) % 0.47/0.67 (define @t231 () (tptp.a2 @t5)) % 0.47/0.67 (define @t232 () (forall @t26 (or @t196 @t231))) % 0.47/0.67 (define @t233 () (@list @t5)) % 0.47/0.67 (define @t234 () (tptp.a1 @t5)) % 0.47/0.67 (define @t235 () (forall @t26 (or @t196 @t234))) % 0.47/0.67 (define @t236 () (not @t235)) % 0.47/0.67 (define @t237 () (or @t236 @t232)) % 0.47/0.67 (define @t238 () (not @t232)) % 0.47/0.67 (define @t239 () (or @t238 @t235)) % 0.47/0.67 (define @t240 () (and @t239 @t237)) % 0.47/0.67 (define @t241 () (lambda @t200 @t240)) % 0.47/0.67 (define @t242 () (or @t196 (_ @t241 @t5))) % 0.47/0.67 (define @t243 () (forall @t26 @t242)) % 0.47/0.67 (define @t244 () (not @t243)) % 0.47/0.67 (define @t245 () (or @t244 @t197)) % 0.47/0.67 (define @t246 () (or @t199 @t243)) % 0.47/0.67 (define @t247 () (and @t246 @t245)) % 0.47/0.67 (define @t248 () (lambda @t200 @t247)) % 0.47/0.67 (define @t249 () (_ @t38 @t5)) % 0.47/0.67 (define @t250 () (forall @t26 (or @t196 @t249))) % 0.47/0.67 (define @t251 () (not @t250)) % 0.47/0.67 (define @t252 () (@list @t38 @t19)) % 0.47/0.67 (define @t253 () (_ tptp.a1 @t5)) % 0.47/0.67 (define @t254 () (or @t196 @t253)) % 0.47/0.67 (define @t255 () (lambda @t200 (_ tptp.a1 @t19))) % 0.47/0.67 (define @t256 () (_ @t255 @t5)) % 0.47/0.67 (define @t257 () (or @t196 @t256)) % 0.47/0.67 (define @t258 () (forall @t26 @t257)) % 0.47/0.67 (define @t259 () (not @t258)) % 0.47/0.67 (define @t260 () (or @t259 @t232)) % 0.47/0.67 (define @t261 () (or @t238 @t258)) % 0.47/0.67 (define @t262 () (and @t261 @t260)) % 0.47/0.67 (define @t263 () (lambda @t200 @t262)) % 0.47/0.67 (define @t264 () (_ @t32 tptp.a1)) % 0.47/0.67 (define @t265 () (_ tptp.a2 @t5)) % 0.47/0.67 (define @t266 () (or @t196 @t265)) % 0.47/0.67 (define @t267 () (lambda @t200 (_ tptp.a2 @t19))) % 0.47/0.67 (define @t268 () (_ @t267 @t5)) % 0.47/0.67 (define @t269 () (or @t196 @t268)) % 0.47/0.67 (define @t270 () (forall @t26 @t269)) % 0.47/0.67 (define @t271 () (or @t251 @t270)) % 0.47/0.67 (define @t272 () (not @t270)) % 0.47/0.67 (define @t273 () (or @t272 @t250)) % 0.47/0.67 (define @t274 () (and @t273 @t271)) % 0.47/0.67 (define @t275 () (lambda @t252 @t274)) % 0.47/0.67 (define @t276 () (_ @t24 @t5)) % 0.47/0.67 (define @t277 () (forall @t26 (or @t196 @t276))) % 0.47/0.67 (define @t278 () (or @t251 @t277)) % 0.47/0.67 (define @t279 () (not @t277)) % 0.47/0.67 (define @t280 () (or @t279 @t250)) % 0.47/0.67 (define @t281 () (and @t280 @t278)) % 0.47/0.67 (define @t282 () (lambda @t39 @t281)) % 0.47/0.67 (define @t283 () (_ @t32 tptp.a2)) % 0.47/0.67 (define @t284 () (or @t59 @t58)) % 0.47/0.67 (define @t285 () (or @t64 @t284)) % 0.47/0.67 (define @t286 () (or @t68 @t67)) % 0.47/0.67 (define @t287 () (or @t73 @t286)) % 0.47/0.67 (define @t288 () (and @t287 @t285)) % 0.47/0.67 (define @t289 () (or @t196 @t288)) % 0.47/0.67 (define @t290 () (forall @t89 @t289)) % 0.47/0.67 (define @t291 () (@list @t66 @t57)) % 0.47/0.67 (define @t292 () (forall @t291 @t289)) % 0.47/0.67 (define @t293 () (@list @t57)) % 0.47/0.67 (define @t294 () (forall @t293 @t284)) % 0.47/0.67 (define @t295 () (or @t64 @t294)) % 0.47/0.67 (define @t296 () (forall @t293 @t285)) % 0.47/0.67 (define @t297 () (forall @t291 @t285)) % 0.47/0.67 (define @t298 () (@list @t66)) % 0.47/0.67 (define @t299 () (forall @t298 @t286)) % 0.47/0.67 (define @t300 () (or @t73 @t299)) % 0.47/0.67 (define @t301 () (forall @t298 @t287)) % 0.47/0.67 (define @t302 () (forall @t291 @t287)) % 0.47/0.67 (define @t303 () (and @t302 @t297)) % 0.47/0.67 (define @t304 () (forall @t291 @t288)) % 0.47/0.67 (define @t305 () (or @t196 @t304)) % 0.47/0.67 (define @t306 () (and (or @t73 @t63) (or @t64 @t72))) % 0.47/0.67 (define @t307 () (forall @t71 (or (not (tptp.irel @t19 @t69)) @t70))) % 0.47/0.67 (define @t308 () (forall @t62 (or (not (tptp.irel @t19 @t60)) @t61))) % 0.47/0.67 (define @t309 () (and @t237 @t239)) % 0.47/0.67 (define @t310 () (lambda @t200 @t309)) % 0.47/0.67 (define @t311 () (or @t196 (_ @t310 @t5))) % 0.47/0.67 (define @t312 () (forall @t26 @t311)) % 0.47/0.67 (define @t313 () (or @t251 @t312)) % 0.47/0.67 (define @t314 () (not @t312)) % 0.47/0.67 (define @t315 () (or @t314 @t250)) % 0.47/0.67 (define @t316 () (and @t315 @t313)) % 0.47/0.67 (define @t317 () (lambda @t252 @t316)) % 0.47/0.67 (define @t318 () (or @t272 @t235)) % 0.47/0.67 (define @t319 () (or @t236 @t270)) % 0.47/0.67 (define @t320 () (and @t319 @t318)) % 0.47/0.67 (define @t321 () (lambda @t200 @t320)) % 0.47/0.67 (define @t322 () (or @t251 @t258)) % 0.47/0.67 (define @t323 () (or @t259 @t250)) % 0.47/0.67 (define @t324 () (and @t323 @t322)) % 0.47/0.67 (define @t325 () (lambda @t252 @t324)) % 0.47/0.67 (define @t326 () (lambda @t200 @t278)) % 0.47/0.67 (define @t327 () (_ @t326 @t19)) % 0.47/0.67 (define @t328 () (and @t280 @t327)) % 0.47/0.67 (define @t329 () (lambda @t200 @t328)) % 0.47/0.67 (define @t330 () (@var "BOUND_VARIABLE_7728" (-> $$unsorted Bool))) % 0.47/0.67 (define @t331 () (_ @t330 @t19)) % 0.47/0.67 (define @t332 () (@list @t330 @t19)) % 0.47/0.67 (define @t333 () (@var "BOUND_VARIABLE_7685" (-> $$unsorted Bool))) % 0.47/0.67 (define @t334 () (forall @t26 (or @t196 (_ @t333 @t5)))) % 0.47/0.67 (define @t335 () (lambda (@list @t333 @t19) (or @t251 @t334))) % 0.47/0.67 (define @t336 () (lambda @t39 @t280)) % 0.47/0.67 (define @t337 () (@list @t38)) % 0.47/0.67 (define @t338 () (lambda @t200 @t280)) % 0.47/0.67 (define @t339 () (_ @t338 @t19)) % 0.47/0.67 (define @t340 () (and @t339 @t331)) % 0.47/0.67 (define @t341 () (lambda @t332 @t340)) % 0.47/0.67 (define @t342 () (and @t30 (_ @t38 @t19))) % 0.47/0.67 (define @t343 () (lambda @t39 @t342)) % 0.47/0.67 (define @t344 () (lambda @t252 @t280)) % 0.47/0.67 (define @t345 () (tptp.irel @t1 @t5)) % 0.47/0.67 (define @t346 () (not @t345)) % 0.47/0.67 (define @t347 () (lambda @t3 (forall @t26 (or @t346 @t249)))) % 0.47/0.67 (define @t348 () (_ @t347 @t19)) % 0.47/0.67 (define @t349 () (or @t279 @t348)) % 0.47/0.67 (define @t350 () (lambda @t200 @t349)) % 0.47/0.67 (define @t351 () (_ @t20 @t19)) % 0.47/0.67 (define @t352 () (@list @t20 @t19)) % 0.47/0.67 (define @t353 () (forall @t26 (or @t346 @t276))) % 0.47/0.67 (define @t354 () (lambda @t28 @t353)) % 0.47/0.67 (define @t355 () (lambda @t3 @t353)) % 0.47/0.67 (define @t356 () (_ @t355 @t19)) % 0.47/0.67 (define @t357 () (not @t356)) % 0.47/0.67 (define @t358 () (or @t357 @t351)) % 0.47/0.67 (define @t359 () (lambda @t352 @t358)) % 0.47/0.67 (define @t360 () (or (not (_ @t21 @t19)) @t351)) % 0.47/0.67 (define @t361 () (lambda @t22 @t360)) % 0.47/0.67 (define @t362 () (not @t6)) % 0.47/0.67 (define @t363 () (or @t362 @t25)) % 0.47/0.67 (define @t364 () (not (_ @t21 @t10))) % 0.47/0.67 (define @t365 () (@list @t10)) % 0.47/0.67 (define @t366 () (lambda @t365 (or @t364 (_ @t20 @t10)))) % 0.47/0.67 (define @t367 () (@list @t14 @t10)) % 0.47/0.67 (define @t368 () (lambda @t365 @t364)) % 0.47/0.67 (define @t369 () (_ @t368 @t10)) % 0.47/0.67 (define @t370 () (or @t369 @t15)) % 0.47/0.67 (define @t371 () (lambda @t367 @t370)) % 0.47/0.67 (define @t372 () (_ @t24 @t10)) % 0.47/0.67 (define @t373 () (lambda @t365 (and @t372 (_ @t38 @t10)))) % 0.47/0.67 (define @t374 () (lambda @t367 (and @t372 @t15))) % 0.47/0.67 (define @t375 () (forall @t169 @t166)) % 0.47/0.67 (define @t376 () (not @t375)) % 0.47/0.67 (define @t377 () (@quantifiers_skolemize @t375 3)) % 0.47/0.67 (define @t378 () (tptp.a1 @t377)) % 0.47/0.67 (define @t379 () (@quantifiers_skolemize @t375 1)) % 0.47/0.67 (define @t380 () (tptp.irel @t379 @t377)) % 0.47/0.67 (define @t381 () (not @t380)) % 0.47/0.67 (define @t382 () (forall @t62 (or (not (tptp.irel @t379 @t60)) @t61))) % 0.47/0.67 (define @t383 () (not @t382)) % 0.47/0.67 (define @t384 () (or @t383 @t381 @t378)) % 0.47/0.67 (define @t385 () (@quantifiers_skolemize @t375 2)) % 0.47/0.67 (define @t386 () (tptp.a2 @t385)) % 0.47/0.67 (define @t387 () (tptp.irel @t379 @t385)) % 0.47/0.67 (define @t388 () (not @t387)) % 0.47/0.67 (define @t389 () (forall @t71 (or (not (tptp.irel @t379 @t69)) @t70))) % 0.47/0.67 (define @t390 () (not @t389)) % 0.47/0.67 (define @t391 () (or @t390 @t388 @t386)) % 0.47/0.67 (define @t392 () (and @t391 @t384)) % 0.47/0.67 (define @t393 () (@quantifiers_skolemize @t375 0)) % 0.47/0.67 (define @t394 () (tptp.irel @t393 @t379)) % 0.47/0.67 (define @t395 () (not @t394)) % 0.47/0.67 (define @t396 () (forall @t164 (or (not (tptp.irel @t393 @t5)) @t162))) % 0.47/0.67 (define @t397 () (not @t396)) % 0.47/0.67 (define @t398 () (or @t397 @t395 @t392)) % 0.47/0.67 (define @t399 () (not @t398)) % 0.47/0.67 (define @t400 () (@list true)) % 0.47/0.67 (define @t401 () (@list @t398)) % 0.47/0.67 (define @t402 () (forall @t80 (or (not (tptp.irel @t379 @t78)) @t79))) % 0.47/0.67 (define @t403 () (not @t402)) % 0.47/0.67 (define @t404 () (or @t403 @t388 @t386)) % 0.47/0.67 (define @t405 () (forall @t84 (or (not (tptp.irel @t379 @t82)) @t83))) % 0.47/0.67 (define @t406 () (not @t405)) % 0.47/0.67 (define @t407 () (or @t406 @t381 @t378)) % 0.47/0.67 (define @t408 () (and @t407 @t404)) % 0.47/0.67 (define @t409 () (or @t395 @t408)) % 0.47/0.67 (define @t410 () (@list @t396)) % 0.47/0.67 (define @t411 () (or @t381 @t378)) % 0.47/0.67 (define @t412 () (not @t411)) % 0.47/0.67 (define @t413 () (and (or @t406 @t388 (tptp.a1 @t385)) @t404)) % 0.47/0.67 (define @t414 () (or @t395 @t413)) % 0.47/0.67 (define @t415 () (@list @t384)) % 0.47/0.67 (define @t416 () (not @t407)) % 0.47/0.67 (define @t417 () (not @t408)) % 0.47/0.67 (assume @p1 (forall @t3 (_ @t2 @t1))) % 0.47/0.67 (assume @p2 (forall (@list @t1 @t5 @t4) (=> (and @t6 (_ (_ tptp.irel @t5) @t4)) (_ @t2 @t4)))) % 0.47/0.67 (assume @p3 (= tptp.ifalse (_ tptp.inot tptp.itrue))) % 0.47/0.67 (assume @p4 @t9) % 0.47/0.67 (assume @p5 true) % 0.47/0.67 (step @p6 (= tptp.mnot @t13) :rule refl :args (@t13)) % 0.47/0.67 (step @p7 (= tptp.mor @t17) :rule refl :args (@t17)) % 0.47/0.67 (step @p8 (= tptp.mand @t18) :rule refl :args (@t18)) % 0.47/0.67 (step @p9 (= tptp.mimplies @t23) :rule refl :args (@t23)) % 0.47/0.67 (step @p10 (= tptp.mbox_s4 @t29) :rule refl :args (@t29)) % 0.47/0.67 (step @p11 (= tptp.iatom @t32) :rule refl :args (@t32)) % 0.47/0.67 (step @p12 (= tptp.inot @t34) :rule refl :args (@t34)) % 0.47/0.67 (step @p13 (= tptp.itrue @t37) :rule refl :args (@t37)) % 0.47/0.67 (step @p14 (= tptp.iand @t40) :rule refl :args (@t40)) % 0.47/0.67 (step @p15 (= tptp.ior @t42) :rule refl :args (@t42)) % 0.47/0.67 (step @p16 (= tptp.iimplies @t43) :rule refl :args (@t43)) % 0.47/0.67 (step @p17 (= tptp.iimplied @t45) :rule refl :args (@t45)) % 0.47/0.67 (step @p18 (= tptp.iequiv @t46) :rule refl :args (@t46)) % 0.47/0.67 (step @p19 (= tptp.ixor @t47) :rule refl :args (@t47)) % 0.47/0.67 (step @p20 (= tptp.ivalid @t52) :rule refl :args (@t52)) % 0.47/0.67 (step @p21 (= tptp.isatisfiable @t53) :rule refl :args (@t53)) % 0.47/0.67 (step @p22 (= tptp.icountersatisfiable @t55) :rule refl :args (@t55)) % 0.47/0.67 (step @p23 (= tptp.iinvalid @t56) :rule refl :args (@t56)) % 0.47/0.67 (step @p24 :rule bool-double-not-elim :args (@t95)) % 0.47/0.67 (step @p25 :rule refl :args (@t115)) % 0.47/0.67 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or @t115 (not @t114)))) % 0.47/0.67 (step @p27 :rule cnf_or_neg :args (@t115 0)) % 0.47/0.67 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 0.47/0.67 (step @p29 :rule reordering :premises (@p28) :args ((or @t95 @t115))) % 0.47/0.67 (step @p30 :rule bool-double-not-elim :args (@t112)) % 0.47/0.67 (step @p31 :rule nary_cong :premises (@p25 @p30) :args ((or @t115 (not @t113)))) % 0.47/0.67 (step @p32 :rule cnf_or_neg :args (@t115 1)) % 0.47/0.67 (step @p33 :rule eq_resolve :premises (@p32 @p31)) % 0.47/0.67 (step @p34 :rule reordering :premises (@p33) :args ((or @t112 @t115))) % 0.47/0.67 (step @p35 :rule cnf_or_neg :args (@t115 2)) % 0.47/0.67 (assume-push @p595 @t95) % 0.47/0.67 (step @p37 :rule instantiate :premises (@p595) :args ((@list @t98 @t104 @t104))) % 0.47/0.67 (step-pop @p596 :rule scope :premises (@p37)) % 0.47/0.67 (step @p38 :rule process_scope :premises (@p596) :args (@t122)) % 0.47/0.67 (step @p40 :rule implies_elim :premises (@p38)) % 0.47/0.67 (assume-push @p597 @t95) % 0.47/0.67 (step @p42 :rule instantiate :premises (@p597) :args ((@list @t98 @t123 @t104))) % 0.47/0.67 (step-pop @p598 :rule scope :premises (@p42)) % 0.47/0.67 (step @p43 :rule process_scope :premises (@p598) :args (@t129)) % 0.47/0.67 (step @p45 :rule implies_elim :premises (@p43)) % 0.47/0.67 (step @p46 :rule cnf_or_pos :args (@t122)) % 0.47/0.67 (step @p47 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:rule refl :args (@t398)) % 0.47/0.67 (step @p509 :rule nary_cong :premises (@p508 @p507) :args ((or @t398 (not @t395)))) % 0.47/0.67 (step @p510 :rule cnf_or_neg :args (@t398 1)) % 0.47/0.67 (step @p511 :rule eq_resolve :premises (@p510 @p509)) % 0.47/0.67 (step @p512 :rule reordering :premises (@p511) :args ((or @t394 @t398))) % 0.47/0.67 (step @p513 :rule chain_m_resolution :premises (@p512 @p506) :args (@t394 @t400 @t401)) % 0.47/0.67 (step @p514 :rule bool-double-not-elim :args (@t396)) % 0.47/0.67 (step @p515 :rule nary_cong :premises (@p508 @p514) :args ((or @t398 (not @t397)))) % 0.47/0.67 (step @p516 :rule cnf_or_neg :args (@t398 0)) % 0.47/0.67 (step @p517 :rule eq_resolve :premises (@p516 @p515)) % 0.47/0.67 (step @p518 :rule reordering :premises (@p517) :args ((or @t396 @t398))) % 0.47/0.67 (step @p519 :rule chain_m_resolution :premises (@p518 @p506) :args (@t396 @t400 @t401)) % 0.47/0.67 (assume-push @p607 @t396) % 0.47/0.67 (step @p521 :rule instantiate :premises (@p607) :args ((@list @t379 @t377 @t385))) % 0.47/0.67 (step-pop @p608 :rule scope :premises (@p521)) % 0.47/0.67 (step @p522 :rule process_scope :premises (@p608) :args (@t409)) % 0.47/0.67 (step @p524 :rule implies_elim :premises (@p522)) % 0.47/0.67 (step @p525 :rule chain_m_resolution :premises (@p524 @p519) :args (@t409 @t143 @t410)) % 0.47/0.67 (step @p526 :rule alpha_equiv :args (@t389 @t140 @t139)) % 0.47/0.67 (step @p527 :rule equiv_elim1 :premises (@p526)) % 0.47/0.67 (assume-push @p609 @t389) % 0.47/0.67 (step @p529 :rule instantiate :premises (@p609) :args ((@list @t377))) % 0.47/0.67 (step-pop @p610 :rule scope :premises (@p529)) % 0.47/0.67 (step @p530 :rule process_scope :premises (@p610) :args (@t411)) % 0.47/0.67 (step @p532 :rule implies_elim :premises (@p530)) % 0.47/0.67 (step @p533 :rule bool-double-not-elim :args (@t380)) % 0.47/0.67 (step @p534 :rule refl :args (@t384)) % 0.47/0.67 (step @p535 :rule nary_cong :premises (@p534 @p533) :args ((or @t384 (not @t381)))) % 0.47/0.67 (step @p536 :rule cnf_or_neg :args (@t384 1)) % 0.47/0.67 (step @p537 :rule eq_resolve :premises (@p536 @p535)) % 0.47/0.67 (step @p538 :rule reordering :premises (@p537) :args ((or @t380 @t384))) % 0.47/0.67 (step @p539 :rule cnf_or_neg :args (@t384 2)) % 0.47/0.67 (step @p540 :rule cnf_or_pos :args (@t411)) % 0.47/0.67 (step @p541 :rule reordering :premises (@p540) :args ((or @t381 @t378 @t412))) % 0.47/0.67 (step @p542 :rule chain_m_resolution :premises (@p541 @p539 @p538) :args ((or @t384 @t412) @t134 (@list @t378 @t380))) % 0.47/0.67 (step @p543 :rule cnf_or_neg :args (@t398 2)) % 0.47/0.67 (step @p544 :rule chain_m_resolution :premises (@p543 @p506) :args ((not @t392) @t400 @t401)) % 0.47/0.67 (step @p545 :rule cnf_and_neg :args (@t392)) % 0.47/0.67 (step @p546 :rule bool-double-not-elim :args (@t387)) % 0.47/0.67 (step @p547 :rule refl :args (@t391)) % 0.47/0.67 (step @p548 :rule nary_cong :premises (@p547 @p546) :args ((or @t391 (not @t388)))) % 0.47/0.67 (step @p549 :rule cnf_or_neg :args (@t391 1)) % 0.47/0.67 (step @p550 :rule eq_resolve :premises (@p549 @p548)) % 0.47/0.67 (step @p551 :rule reordering :premises (@p550) :args ((or @t387 @t391))) % 0.47/0.67 (step @p552 :rule cnf_or_neg :args (@t391 2)) % 0.47/0.67 (assume-push @p611 @t396) % 0.47/0.67 (step @p554 :rule instantiate :premises (@p611) :args ((@list @t379 @t385 @t385))) % 0.47/0.67 (step-pop @p612 :rule scope :premises (@p554)) % 0.47/0.67 (step @p555 :rule process_scope :premises (@p612) :args (@t414)) % 0.47/0.67 (step @p557 :rule implies_elim :premises (@p555)) % 0.47/0.67 (step @p558 :rule chain_m_resolution :premises (@p557 @p519) :args (@t414 @t143 @t410)) % 0.47/0.67 (step @p559 :rule cnf_or_pos :args (@t414)) % 0.47/0.67 (step @p560 :rule reordering :premises (@p559) :args ((or @t395 @t413 (not @t414)))) % 0.47/0.67 (step @p561 :rule chain_m_resolution :premises (@p560 @p513 @p558) :args (@t413 (@list false false) (@list @t394 @t414))) % 0.47/0.67 (step @p562 :rule cnf_and_pos :args (@t413 1)) % 0.47/0.67 (step @p563 :rule reordering :premises (@p562) :args ((or @t404 (not @t413)))) % 0.47/0.67 (step @p564 :rule chain_m_resolution :premises (@p563 @p561) :args (@t404 @t143 (@list @t413))) % 0.47/0.67 (step @p565 :rule cnf_or_pos :args (@t404)) % 0.47/0.67 (step @p566 :rule reordering :premises (@p565) :args ((or @t388 @t386 @t403 (not @t404)))) % 0.47/0.67 (step @p567 :rule chain_m_resolution :premises (@p566 @p564 @p552 @p551 @p545 @p544 @p542 @p532 @p527) :args (@t390 (@list false true false true true false false false) (@list @t404 @t386 @t387 @t391 @t392 @t384 @t411 @t402))) % 0.47/0.67 (step @p568 :rule bool-double-not-elim :args (@t389)) % 0.47/0.67 (step @p569 :rule nary_cong :premises (@p547 @p568) :args ((or @t391 (not @t390)))) % 0.47/0.67 (step @p570 :rule cnf_or_neg :args (@t391 0)) % 0.47/0.67 (step @p571 :rule eq_resolve :premises (@p570 @p569)) % 0.47/0.67 (step @p572 :rule reordering :premises (@p571) :args ((or @t389 @t391))) % 0.47/0.67 (step @p573 :rule chain_m_resolution :premises (@p572 @p567) :args (@t391 @t400 (@list @t389))) % 0.47/0.67 (step @p574 :rule chain_m_resolution :premises (@p545 @p544 @p573) :args ((not @t384) @t134 (@list @t392 @t391))) % 0.47/0.67 (step @p575 :rule bool-double-not-elim :args (@t382)) % 0.47/0.67 (step @p576 :rule nary_cong :premises (@p534 @p575) :args ((or @t384 (not @t383)))) % 0.47/0.67 (step @p577 :rule cnf_or_neg :args (@t384 0)) % 0.47/0.67 (step @p578 :rule eq_resolve :premises (@p577 @p576)) % 0.47/0.67 (step @p579 :rule reordering :premises (@p578) :args ((or @t382 @t384))) % 0.47/0.67 (step @p580 :rule chain_m_resolution :premises (@p579 @p574) :args (@t382 @t400 @t415)) % 0.47/0.67 (step @p581 :rule alpha_equiv :args (@t382 @t131 @t130)) % 0.47/0.67 (step @p582 :rule equiv_elim1 :premises (@p581)) % 0.47/0.67 (step @p583 :rule chain_m_resolution :premises (@p582 @p580) :args (@t405 @t143 (@list @t382))) % 0.47/0.67 (step @p584 :rule chain_m_resolution :premises (@p539 @p574) :args ((not @t378) @t400 @t415)) % 0.47/0.67 (step @p585 :rule chain_m_resolution :premises (@p538 @p574) :args (@t380 @t400 @t415)) % 0.47/0.67 (step @p586 :rule cnf_or_pos :args (@t407)) % 0.47/0.67 (step @p587 :rule reordering :premises (@p586) :args ((or @t381 @t378 @t406 @t416))) % 0.47/0.67 (step @p588 :rule chain_m_resolution :premises (@p587 @p585 @p584 @p583) :args (@t416 (@list false true false) (@list @t380 @t378 @t405))) % 0.47/0.67 (step @p589 :rule cnf_and_pos :args (@t408 0)) % 0.47/0.67 (step @p590 :rule reordering :premises (@p589) :args ((or @t407 @t417))) % 0.47/0.67 (step @p591 :rule chain_m_resolution :premises (@p590 @p588) :args (@t417 @t400 (@list @t407))) % 0.47/0.67 (step @p592 :rule cnf_or_pos :args (@t409)) % 0.47/0.67 (step @p593 :rule reordering :premises (@p592) :args ((or @t395 @t408 (not @t409)))) % 0.47/0.67 (step @p594 false :rule chain_m_resolution :premises (@p593 @p591 @p525 @p513) :args (false (@list true false false) (@list @t408 @t409 @t394))) % 0.47/0.67 ) % 0.47/0.67 % SZS output end Proof % 0.47/0.67 % cvc5 exiting %------------------------------------------------------------------------------