%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN045^4 : 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 : n026.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 09:07:52 AM UTC 2026 % Result : Theorem 0.39s 0.61s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN045^4 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 23:18:55 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.39/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.61 % SZS status Theorem % 0.39/0.61 % SZS output start Proof % 0.39/0.61 ( % 0.39/0.61 (declare-sort $$unsorted 0) % 0.39/0.61 (declare-const tptp.irel (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.q (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.p (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.r (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.ifalse (-> $$unsorted Bool)) % 0.39/0.61 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.39/0.61 (define tptp.mor () (let ((_let_1 (@var "U" $$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))))))) % 0.39/0.61 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.39/0.61 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.39/0.61 (define tptp.mbox_s4 () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.irel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.39/0.61 (define tptp.iatom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ _let_2 _let_1))))) % 0.39/0.61 (define tptp.inot () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 _let_2)) _let_1))))) % 0.39/0.61 (define tptp.itrue () (lambda (@list (@var "W" $$unsorted)) true)) % 0.39/0.61 (define tptp.iand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1)))))) % 0.39/0.61 (define tptp.ior () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.39/0.61 (define tptp.iimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mimplies (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1)))))) % 0.39/0.61 (define tptp.iimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.39/0.61 (define tptp.iequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iand (_ (_ tptp.iimplies _let_2) _let_3)) (_ (_ tptp.iimplies _let_3) _let_2)) _let_1)))))) % 0.39/0.61 (define tptp.ixor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 0.39/0.61 (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)))))) % 0.39/0.61 (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)))))) % 0.39/0.61 (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))))))) % 0.39/0.61 (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))))))) % 0.39/0.61 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.61 (define @t2 () (_ tptp.irel @t1)) % 0.39/0.61 (define @t3 () (@list @t1)) % 0.39/0.61 (define @t4 () (@var "Z" $$unsorted)) % 0.39/0.61 (define @t5 () (@var "Y" $$unsorted)) % 0.39/0.61 (define @t6 () (_ @t2 @t5)) % 0.39/0.61 (define @t7 () (_ tptp.iatom tptp.r)) % 0.39/0.61 (define @t8 () (_ tptp.ior (_ tptp.iatom tptp.p))) % 0.39/0.61 (define @t9 () (_ tptp.iatom tptp.q)) % 0.39/0.61 (define @t10 () (not (_ tptp.ivalid (_ (_ tptp.iequiv (_ @t8 (_ (_ tptp.iand @t9) @t7))) (_ (_ tptp.iand (_ @t8 @t9)) (_ @t8 @t7)))))) % 0.39/0.61 (define @t11 () (@var "U" $$unsorted)) % 0.39/0.61 (define @t12 () (@var "X" (-> $$unsorted Bool))) % 0.39/0.61 (define @t13 () (_ @t12 @t11)) % 0.39/0.61 (define @t14 () (lambda (@list @t12 @t11) (not @t13))) % 0.39/0.61 (define @t15 () (@var "Y" (-> $$unsorted Bool))) % 0.39/0.61 (define @t16 () (_ @t15 @t11)) % 0.39/0.61 (define @t17 () (@list @t12 @t15 @t11)) % 0.39/0.61 (define @t18 () (lambda @t17 (or @t13 @t16))) % 0.39/0.61 (define @t19 () (lambda @t17 (and @t13 @t16))) % 0.39/0.61 (define @t20 () (@var "__flatten_var_0" $$unsorted)) % 0.39/0.61 (define @t21 () (@var "V" (-> $$unsorted Bool))) % 0.39/0.61 (define @t22 () (@var "U" (-> $$unsorted Bool))) % 0.39/0.61 (define @t23 () (@list @t22 @t21 @t20)) % 0.39/0.61 (define @t24 () (lambda @t23 (_ (_ (_ tptp.mor (_ tptp.mnot @t22)) @t21) @t20))) % 0.39/0.61 (define @t25 () (@var "P" (-> $$unsorted Bool))) % 0.39/0.61 (define @t26 () (_ @t25 @t5)) % 0.39/0.61 (define @t27 () (@list @t5)) % 0.39/0.61 (define @t28 () (forall @t27 (=> @t6 @t26))) % 0.39/0.61 (define @t29 () (@list @t25 @t1)) % 0.39/0.61 (define @t30 () (lambda @t29 @t28)) % 0.39/0.61 (define @t31 () (_ @t25 @t20)) % 0.39/0.61 (define @t32 () (@list @t25 @t20)) % 0.39/0.61 (define @t33 () (lambda @t32 @t31)) % 0.39/0.61 (define @t34 () (_ tptp.mbox_s4 @t25)) % 0.39/0.61 (define @t35 () (lambda @t32 (_ (_ tptp.mnot @t34) @t20))) % 0.39/0.61 (define @t36 () (@var "W" $$unsorted)) % 0.39/0.61 (define @t37 () (@list @t36)) % 0.39/0.61 (define @t38 () (lambda @t37 true)) % 0.39/0.62 (define @t39 () (@var "Q" (-> $$unsorted Bool))) % 0.39/0.62 (define @t40 () (@list @t25 @t39 @t20)) % 0.39/0.62 (define @t41 () (lambda @t40 (_ (_ (_ tptp.mand @t25) @t39) @t20))) % 0.39/0.62 (define @t42 () (_ tptp.mbox_s4 @t39)) % 0.39/0.62 (define @t43 () (lambda @t40 (_ (_ (_ tptp.mor @t34) @t42) @t20))) % 0.39/0.62 (define @t44 () (lambda @t40 (_ (_ (_ tptp.mimplies @t34) @t42) @t20))) % 0.39/0.62 (define @t45 () (_ (_ tptp.iimplies @t39) @t25)) % 0.39/0.62 (define @t46 () (lambda @t40 (_ @t45 @t20))) % 0.39/0.62 (define @t47 () (lambda @t40 (_ (_ (_ tptp.iand (_ (_ tptp.iimplies @t25) @t39)) @t45) @t20))) % 0.39/0.62 (define @t48 () (lambda @t40 (_ (_ tptp.inot (_ (_ tptp.iequiv @t25) @t39)) @t20))) % 0.39/0.62 (define @t49 () (@var "Phi" (-> $$unsorted Bool))) % 0.39/0.62 (define @t50 () (_ @t49 @t36)) % 0.39/0.62 (define @t51 () (forall @t37 @t50)) % 0.39/0.62 (define @t52 () (@list @t49)) % 0.39/0.62 (define @t53 () (lambda @t52 @t51)) % 0.39/0.62 (define @t54 () (lambda @t52 (exists @t37 @t50))) % 0.39/0.62 (define @t55 () (not @t50)) % 0.39/0.62 (define @t56 () (lambda @t52 (exists @t37 @t55))) % 0.39/0.62 (define @t57 () (lambda @t52 (forall @t37 @t55))) % 0.39/0.62 (define @t58 () (@var "BOUND_VARIABLE_8135" $$unsorted)) % 0.39/0.62 (define @t59 () (and (tptp.q @t58) (tptp.r @t58))) % 0.39/0.62 (define @t60 () (not (tptp.irel @t5 @t58))) % 0.39/0.62 (define @t61 () (@var "BOUND_VARIABLE_8129" $$unsorted)) % 0.39/0.62 (define @t62 () (tptp.p @t61)) % 0.39/0.62 (define @t63 () (not (tptp.irel @t5 @t61))) % 0.39/0.62 (define @t64 () (@var "BOUND_VARIABLE_8334" $$unsorted)) % 0.39/0.62 (define @t65 () (@var "BOUND_VARIABLE_8326" $$unsorted)) % 0.39/0.62 (define @t66 () (@var "BOUND_VARIABLE_8332" $$unsorted)) % 0.39/0.62 (define @t67 () (@var "BOUND_VARIABLE_8330" $$unsorted)) % 0.39/0.62 (define @t68 () (@var "BOUND_VARIABLE_8328" $$unsorted)) % 0.39/0.62 (define @t69 () (and (or (not (tptp.irel @t65 @t68)) (tptp.p @t68) (not (tptp.irel @t65 @t67)) (tptp.q @t67)) (or (not (tptp.irel @t65 @t66)) (tptp.p @t66) (not (tptp.irel @t65 @t64)) (tptp.r @t64)))) % 0.39/0.62 (define @t70 () (@var "BOUND_VARIABLE_8301" $$unsorted)) % 0.39/0.62 (define @t71 () (not (tptp.irel @t70 @t65))) % 0.39/0.62 (define @t72 () (not (tptp.irel @t70 @t5))) % 0.39/0.62 (define @t73 () (@list @t5 @t61 @t58)) % 0.39/0.62 (define @t74 () (not (forall @t73 (or @t72 @t63 @t62 @t60 @t59)))) % 0.39/0.62 (define @t75 () (or @t74 @t71 @t69)) % 0.39/0.62 (define @t76 () (@list @t70 @t65 @t68 @t67 @t66 @t64)) % 0.39/0.62 (define @t77 () (forall @t76 @t75)) % 0.39/0.62 (define @t78 () (@quantifiers_skolemize @t77 0)) % 0.39/0.62 (define @t79 () (forall @t73 (or (not (tptp.irel @t78 @t5)) @t63 @t62 @t60 @t59))) % 0.39/0.62 (define @t80 () (@quantifiers_skolemize @t77 5)) % 0.39/0.62 (define @t81 () (tptp.r @t80)) % 0.39/0.62 (define @t82 () (@quantifiers_skolemize @t77 1)) % 0.39/0.62 (define @t83 () (tptp.irel @t82 @t80)) % 0.39/0.62 (define @t84 () (not @t83)) % 0.39/0.62 (define @t85 () (@quantifiers_skolemize @t77 4)) % 0.39/0.62 (define @t86 () (tptp.p @t85)) % 0.39/0.62 (define @t87 () (tptp.irel @t82 @t85)) % 0.39/0.62 (define @t88 () (not @t87)) % 0.39/0.62 (define @t89 () (or @t88 @t86 @t84 @t81)) % 0.39/0.62 (define @t90 () (@quantifiers_skolemize @t77 3)) % 0.39/0.62 (define @t91 () (tptp.q @t90)) % 0.39/0.62 (define @t92 () (tptp.irel @t82 @t90)) % 0.39/0.62 (define @t93 () (not @t92)) % 0.39/0.62 (define @t94 () (@quantifiers_skolemize @t77 2)) % 0.39/0.62 (define @t95 () (tptp.p @t94)) % 0.39/0.62 (define @t96 () (tptp.irel @t82 @t94)) % 0.39/0.62 (define @t97 () (not @t96)) % 0.39/0.62 (define @t98 () (or @t97 @t95 @t93 @t91)) % 0.39/0.62 (define @t99 () (and @t98 @t89)) % 0.39/0.62 (define @t100 () (tptp.irel @t78 @t82)) % 0.39/0.62 (define @t101 () (not @t100)) % 0.39/0.62 (define @t102 () (not @t79)) % 0.39/0.62 (define @t103 () (or @t102 @t101 @t99)) % 0.39/0.62 (define @t104 () (and @t91 (tptp.r @t90))) % 0.39/0.62 (define @t105 () (or @t101 @t97 @t95 @t93 @t104)) % 0.39/0.62 (define @t106 () (and (tptp.q @t80) @t81)) % 0.39/0.62 (define @t107 () (or @t101 @t97 @t95 @t84 @t106)) % 0.39/0.62 (define @t108 () (or @t101 @t88 @t86 @t84 @t106)) % 0.39/0.62 (define @t109 () (not @t108)) % 0.39/0.62 (define @t110 () (@list false true false true false)) % 0.39/0.62 (define @t111 () (not @t107)) % 0.39/0.62 (define @t112 () (not @t105)) % 0.39/0.62 (define @t113 () (not @t103)) % 0.39/0.62 (define @t114 () (not @t77)) % 0.39/0.62 (define @t115 () (@list false)) % 0.39/0.62 (define @t116 () (@var "BOUND_VARIABLE_8363" $$unsorted)) % 0.39/0.62 (define @t117 () (and (tptp.q @t116) (tptp.r @t116))) % 0.39/0.62 (define @t118 () (@var "BOUND_VARIABLE_8359" $$unsorted)) % 0.39/0.62 (define @t119 () (not (tptp.irel @t118 @t116))) % 0.39/0.62 (define @t120 () (@var "BOUND_VARIABLE_8361" $$unsorted)) % 0.39/0.62 (define @t121 () (tptp.p @t120)) % 0.39/0.62 (define @t122 () (not (tptp.irel @t118 @t120))) % 0.39/0.62 (define @t123 () (@var "BOUND_VARIABLE_8313" $$unsorted)) % 0.39/0.62 (define @t124 () (not (tptp.irel @t123 @t118))) % 0.39/0.62 (define @t125 () (@var "BOUND_VARIABLE_8265" $$unsorted)) % 0.39/0.62 (define @t126 () (tptp.r @t125)) % 0.39/0.62 (define @t127 () (not (tptp.irel @t5 @t125))) % 0.39/0.62 (define @t128 () (@var "BOUND_VARIABLE_8259" $$unsorted)) % 0.39/0.62 (define @t129 () (tptp.p @t128)) % 0.39/0.62 (define @t130 () (not (tptp.irel @t5 @t128))) % 0.39/0.62 (define @t131 () (or @t130 @t129 @t127 @t126)) % 0.39/0.62 (define @t132 () (@var "BOUND_VARIABLE_8252" $$unsorted)) % 0.39/0.62 (define @t133 () (tptp.q @t132)) % 0.39/0.62 (define @t134 () (not (tptp.irel @t5 @t132))) % 0.39/0.62 (define @t135 () (@var "BOUND_VARIABLE_8246" $$unsorted)) % 0.39/0.62 (define @t136 () (tptp.p @t135)) % 0.39/0.62 (define @t137 () (not (tptp.irel @t5 @t135))) % 0.39/0.62 (define @t138 () (or @t137 @t136 @t134 @t133)) % 0.39/0.62 (define @t139 () (and @t138 @t131)) % 0.39/0.62 (define @t140 () (not (tptp.irel @t123 @t5))) % 0.39/0.62 (define @t141 () (@list @t5 @t135 @t132 @t128 @t125)) % 0.39/0.62 (define @t142 () (not (forall @t141 (or @t140 @t139)))) % 0.39/0.62 (define @t143 () (or @t142 @t124 @t122 @t121 @t119 @t117)) % 0.39/0.62 (define @t144 () (or @t124 @t122 @t121 @t119 @t117)) % 0.39/0.62 (define @t145 () (or @t142 @t144)) % 0.39/0.62 (define @t146 () (@list @t123 @t118 @t120 @t116)) % 0.39/0.62 (define @t147 () (forall @t146 @t145)) % 0.39/0.62 (define @t148 () (@list @t118 @t120 @t116)) % 0.39/0.62 (define @t149 () (forall @t148 @t145)) % 0.39/0.62 (define @t150 () (@list @t123)) % 0.39/0.62 (define @t151 () (forall @t148 @t144)) % 0.39/0.62 (define @t152 () (or @t142 @t151)) % 0.39/0.62 (define @t153 () (forall @t150 (or @t142 (forall @t73 (or @t140 @t63 @t62 @t60 @t59))))) % 0.39/0.62 (define @t154 () (or @t71 @t69)) % 0.39/0.62 (define @t155 () (or @t74 @t154)) % 0.39/0.62 (define @t156 () (forall @t76 @t155)) % 0.39/0.62 (define @t157 () (@list @t65 @t68 @t67 @t66 @t64)) % 0.39/0.62 (define @t158 () (forall @t157 @t155)) % 0.39/0.62 (define @t159 () (@list @t70)) % 0.39/0.62 (define @t160 () (forall @t157 @t154)) % 0.39/0.62 (define @t161 () (or @t74 @t160)) % 0.39/0.62 (define @t162 () (forall @t159 (or @t74 (forall @t141 (or @t72 @t139))))) % 0.39/0.62 (define @t163 () (not (tptp.irel @t36 @t5))) % 0.39/0.62 (define @t164 () (forall @t73 (or @t163 @t63 @t62 @t60 @t59))) % 0.39/0.62 (define @t165 () (forall @t141 (or @t163 @t139))) % 0.39/0.62 (define @t166 () (or (not @t165) @t164)) % 0.39/0.62 (define @t167 () (forall @t37 @t166)) % 0.39/0.62 (define @t168 () (@list @t36)) % 0.39/0.62 (define @t169 () (or (not @t164) @t165)) % 0.39/0.62 (define @t170 () (forall @t37 @t169)) % 0.39/0.62 (define @t171 () (and @t170 @t167)) % 0.39/0.62 (define @t172 () (and @t169 @t166)) % 0.39/0.62 (define @t173 () (not (tptp.irel @t20 @t5))) % 0.39/0.62 (define @t174 () (or @t173 @t63 @t62 @t60 @t59)) % 0.39/0.62 (define @t175 () (forall @t73 @t174)) % 0.39/0.62 (define @t176 () (forall @t141 (or @t173 @t139))) % 0.39/0.62 (define @t177 () (not @t175)) % 0.39/0.62 (define @t178 () (@list @t20)) % 0.39/0.62 (define @t179 () (lambda @t178 (and (or @t177 @t176) (or (not @t176) @t175)))) % 0.39/0.62 (define @t180 () (_ @t179 @t36)) % 0.39/0.62 (define @t181 () (forall @t37 @t180)) % 0.39/0.62 (define @t182 () (_ @t49 @t36)) % 0.39/0.62 (define @t183 () (lambda @t52 (forall @t37 @t182))) % 0.39/0.62 (define @t184 () (or @t127 @t126)) % 0.39/0.62 (define @t185 () (or @t130 @t129)) % 0.39/0.62 (define @t186 () (or @t185 @t184)) % 0.39/0.62 (define @t187 () (or @t134 @t133)) % 0.39/0.62 (define @t188 () (or @t137 @t136)) % 0.39/0.62 (define @t189 () (or @t188 @t187)) % 0.39/0.62 (define @t190 () (and @t189 @t186)) % 0.39/0.62 (define @t191 () (or @t173 @t190)) % 0.39/0.62 (define @t192 () (forall @t141 @t191)) % 0.39/0.62 (define @t193 () (@list @t135 @t132 @t128 @t125)) % 0.39/0.62 (define @t194 () (forall @t193 @t191)) % 0.39/0.62 (define @t195 () (forall (@list @t125) @t184)) % 0.39/0.62 (define @t196 () (@var "BOUND_VARIABLE_8200" $$unsorted)) % 0.39/0.62 (define @t197 () (@list @t196)) % 0.39/0.62 (define @t198 () (forall (@list @t128) @t185)) % 0.39/0.62 (define @t199 () (@var "BOUND_VARIABLE_8208" $$unsorted)) % 0.39/0.62 (define @t200 () (@list @t199)) % 0.39/0.62 (define @t201 () (or @t198 @t195)) % 0.39/0.62 (define @t202 () (forall (@list @t128 @t125) @t186)) % 0.39/0.62 (define @t203 () (forall @t193 @t186)) % 0.39/0.62 (define @t204 () (forall (@list @t132) @t187)) % 0.39/0.62 (define @t205 () (@var "BOUND_VARIABLE_8217" $$unsorted)) % 0.39/0.62 (define @t206 () (@list @t205)) % 0.39/0.62 (define @t207 () (forall (@list @t135) @t188)) % 0.39/0.62 (define @t208 () (or @t207 @t204)) % 0.39/0.62 (define @t209 () (forall (@list @t135 @t132) @t189)) % 0.39/0.62 (define @t210 () (forall @t193 @t189)) % 0.39/0.62 (define @t211 () (and @t210 @t203)) % 0.39/0.62 (define @t212 () (forall @t193 @t190)) % 0.39/0.62 (define @t213 () (or @t173 @t212)) % 0.39/0.62 (define @t214 () (tptp.r @t196)) % 0.39/0.62 (define @t215 () (@list @t196)) % 0.39/0.62 (define @t216 () (tptp.p @t199)) % 0.39/0.62 (define @t217 () (@list @t199)) % 0.39/0.62 (define @t218 () (forall @t217 (or (not (tptp.irel @t5 @t199)) @t216))) % 0.39/0.62 (define @t219 () (tptp.q @t205)) % 0.39/0.62 (define @t220 () (@list @t205)) % 0.39/0.62 (define @t221 () (and (or @t218 (forall @t220 (or (not (tptp.irel @t5 @t205)) @t219))) (or @t218 (forall @t215 (or (not (tptp.irel @t5 @t196)) @t214))))) % 0.39/0.62 (define @t222 () (forall @t217 (or (not (tptp.irel @t20 @t199)) @t216))) % 0.39/0.62 (define @t223 () (tptp.r @t5)) % 0.39/0.62 (define @t224 () (forall @t27 (or @t173 @t223))) % 0.39/0.62 (define @t225 () (@list @t5)) % 0.39/0.62 (define @t226 () (tptp.p @t5)) % 0.39/0.62 (define @t227 () (forall @t27 (or @t173 @t226))) % 0.39/0.62 (define @t228 () (or @t227 @t224)) % 0.39/0.62 (define @t229 () (tptp.q @t5)) % 0.39/0.62 (define @t230 () (forall @t27 (or @t173 @t229))) % 0.39/0.62 (define @t231 () (or @t227 @t230)) % 0.39/0.62 (define @t232 () (and @t231 @t228)) % 0.39/0.62 (define @t233 () (lambda @t178 @t232)) % 0.39/0.62 (define @t234 () (or @t173 (_ @t233 @t5))) % 0.39/0.62 (define @t235 () (forall @t27 @t234)) % 0.39/0.62 (define @t236 () (not @t235)) % 0.39/0.62 (define @t237 () (or @t236 @t175)) % 0.39/0.62 (define @t238 () (or @t177 @t235)) % 0.39/0.62 (define @t239 () (and @t238 @t237)) % 0.39/0.62 (define @t240 () (lambda @t178 @t239)) % 0.39/0.62 (define @t241 () (_ @t39 @t5)) % 0.39/0.62 (define @t242 () (forall @t27 (or @t173 @t241))) % 0.39/0.62 (define @t243 () (not @t242)) % 0.39/0.62 (define @t244 () (@list @t39 @t20)) % 0.39/0.62 (define @t245 () (lambda @t178 @t228)) % 0.39/0.62 (define @t246 () (_ @t245 @t20)) % 0.39/0.62 (define @t247 () (and @t231 @t246)) % 0.39/0.62 (define @t248 () (lambda @t178 @t247)) % 0.39/0.62 (define @t249 () (_ @t39 @t20)) % 0.39/0.62 (define @t250 () (_ tptp.r @t5)) % 0.39/0.62 (define @t251 () (or @t173 @t250)) % 0.39/0.62 (define @t252 () (_ tptp.r @t20)) % 0.39/0.62 (define @t253 () (lambda @t178 @t252)) % 0.39/0.62 (define @t254 () (_ @t253 @t5)) % 0.39/0.62 (define @t255 () (or @t173 @t254)) % 0.39/0.62 (define @t256 () (forall @t27 @t255)) % 0.39/0.62 (define @t257 () (or @t227 @t256)) % 0.39/0.62 (define @t258 () (lambda @t178 @t257)) % 0.39/0.62 (define @t259 () (lambda @t244 (or @t227 @t242))) % 0.39/0.62 (define @t260 () (_ @t33 tptp.r)) % 0.39/0.62 (define @t261 () (_ tptp.p @t5)) % 0.39/0.62 (define @t262 () (or @t173 @t261)) % 0.39/0.62 (define @t263 () (lambda @t178 (_ tptp.p @t20))) % 0.39/0.62 (define @t264 () (_ @t263 @t5)) % 0.39/0.62 (define @t265 () (or @t173 @t264)) % 0.39/0.62 (define @t266 () (forall @t27 @t265)) % 0.39/0.62 (define @t267 () (or @t266 @t242)) % 0.39/0.62 (define @t268 () (lambda @t244 @t267)) % 0.39/0.62 (define @t269 () (_ @t25 @t5)) % 0.39/0.62 (define @t270 () (forall @t27 (or @t173 @t269))) % 0.39/0.62 (define @t271 () (or @t270 @t242)) % 0.39/0.62 (define @t272 () (lambda @t40 @t271)) % 0.39/0.62 (define @t273 () (_ @t33 tptp.p)) % 0.39/0.62 (define @t274 () (lambda @t178 @t231)) % 0.39/0.62 (define @t275 () (_ @t274 @t20)) % 0.39/0.62 (define @t276 () (and @t275 @t249)) % 0.39/0.62 (define @t277 () (lambda @t244 @t276)) % 0.39/0.62 (define @t278 () (and @t31 @t249)) % 0.39/0.62 (define @t279 () (lambda @t40 @t278)) % 0.39/0.62 (define @t280 () (_ tptp.q @t5)) % 0.39/0.62 (define @t281 () (or @t173 @t280)) % 0.39/0.62 (define @t282 () (_ tptp.q @t20)) % 0.39/0.62 (define @t283 () (lambda @t178 @t282)) % 0.39/0.62 (define @t284 () (_ @t283 @t5)) % 0.39/0.62 (define @t285 () (or @t173 @t284)) % 0.39/0.62 (define @t286 () (forall @t27 @t285)) % 0.39/0.62 (define @t287 () (or @t227 @t286)) % 0.39/0.62 (define @t288 () (lambda @t178 @t287)) % 0.39/0.62 (define @t289 () (_ @t33 tptp.q)) % 0.39/0.62 (define @t290 () (or @t60 @t59)) % 0.39/0.62 (define @t291 () (or @t63 @t62)) % 0.39/0.62 (define @t292 () (or @t173 @t291 @t290)) % 0.39/0.62 (define @t293 () (forall @t73 @t292)) % 0.39/0.62 (define @t294 () (forall (@list @t61 @t58) @t292)) % 0.39/0.62 (define @t295 () (forall (@list @t58) @t290)) % 0.39/0.62 (define @t296 () (@var "BOUND_VARIABLE_8096" $$unsorted)) % 0.39/0.62 (define @t297 () (@list @t296)) % 0.39/0.62 (define @t298 () (forall (@list @t61) @t291)) % 0.39/0.62 (define @t299 () (@var "BOUND_VARIABLE_8106" $$unsorted)) % 0.39/0.62 (define @t300 () (@list @t299)) % 0.39/0.62 (define @t301 () (or @t173 @t298 @t295)) % 0.39/0.62 (define @t302 () (and (tptp.q @t296) (tptp.r @t296))) % 0.39/0.62 (define @t303 () (@list @t296)) % 0.39/0.62 (define @t304 () (forall @t303 (or (not (tptp.irel @t5 @t296)) @t302))) % 0.39/0.62 (define @t305 () (tptp.p @t299)) % 0.39/0.62 (define @t306 () (@list @t299)) % 0.39/0.62 (define @t307 () (forall @t306 (or (not (tptp.irel @t5 @t299)) @t305))) % 0.39/0.62 (define @t308 () (or @t173 @t307 @t304)) % 0.39/0.62 (define @t309 () (or @t307 @t304)) % 0.39/0.62 (define @t310 () (forall @t27 (or @t173 (and @t229 @t223)))) % 0.39/0.62 (define @t311 () (or @t227 @t310)) % 0.39/0.62 (define @t312 () (lambda @t178 @t311)) % 0.39/0.62 (define @t313 () (or @t173 (_ @t312 @t5))) % 0.39/0.62 (define @t314 () (forall @t27 @t313)) % 0.39/0.62 (define @t315 () (or @t243 @t314)) % 0.39/0.62 (define @t316 () (not @t314)) % 0.39/0.62 (define @t317 () (or @t316 @t242)) % 0.39/0.62 (define @t318 () (and @t317 @t315)) % 0.39/0.62 (define @t319 () (lambda @t244 @t318)) % 0.39/0.62 (define @t320 () (or @t243 @t270)) % 0.39/0.62 (define @t321 () (not @t270)) % 0.39/0.62 (define @t322 () (or @t321 @t242)) % 0.39/0.62 (define @t323 () (and @t322 @t320)) % 0.39/0.62 (define @t324 () (lambda @t40 @t323)) % 0.39/0.62 (define @t325 () (and @t280 @t250)) % 0.39/0.62 (define @t326 () (or @t173 @t325)) % 0.39/0.62 (define @t327 () (lambda @t178 (and @t282 @t252))) % 0.39/0.62 (define @t328 () (_ @t327 @t5)) % 0.39/0.62 (define @t329 () (or @t173 @t328)) % 0.39/0.62 (define @t330 () (forall @t27 @t329)) % 0.39/0.62 (define @t331 () (or @t227 @t330)) % 0.39/0.62 (define @t332 () (lambda @t178 @t331)) % 0.39/0.62 (define @t333 () (_ @t253 @t20)) % 0.39/0.62 (define @t334 () (and @t282 @t333)) % 0.39/0.62 (define @t335 () (lambda @t178 @t334)) % 0.39/0.62 (define @t336 () (_ @t283 @t20)) % 0.39/0.62 (define @t337 () (and @t336 @t249)) % 0.39/0.62 (define @t338 () (lambda @t244 @t337)) % 0.39/0.62 (define @t339 () (_ @t272 @t273)) % 0.39/0.62 (define @t340 () (not (tptp.irel @t11 @t5))) % 0.39/0.62 (define @t341 () (forall @t27 (or @t340 @t241))) % 0.39/0.62 (define @t342 () (forall @t27 (or @t340 @t269))) % 0.39/0.62 (define @t343 () (@list @t11)) % 0.39/0.62 (define @t344 () (tptp.irel @t1 @t5)) % 0.39/0.62 (define @t345 () (not @t344)) % 0.39/0.62 (define @t346 () (lambda @t3 (forall @t27 (or @t345 @t241)))) % 0.39/0.62 (define @t347 () (_ @t346 @t11)) % 0.39/0.62 (define @t348 () (or @t342 @t347)) % 0.39/0.62 (define @t349 () (lambda @t343 @t348)) % 0.39/0.62 (define @t350 () (@list @t15 @t11)) % 0.39/0.62 (define @t351 () (forall @t27 (or @t345 @t269))) % 0.39/0.62 (define @t352 () (lambda @t29 @t351)) % 0.39/0.62 (define @t353 () (lambda @t3 @t351)) % 0.39/0.62 (define @t354 () (_ @t353 @t11)) % 0.39/0.62 (define @t355 () (or @t354 @t16)) % 0.39/0.62 (define @t356 () (lambda @t350 @t355)) % 0.39/0.62 (define @t357 () (not @t6)) % 0.39/0.62 (define @t358 () (or @t357 @t26)) % 0.39/0.62 (define @t359 () (_ @t25 @t11)) % 0.39/0.62 (define @t360 () (lambda @t343 (and @t359 (_ @t39 @t11)))) % 0.39/0.62 (define @t361 () (lambda @t350 (and @t359 @t16))) % 0.39/0.62 (define @t362 () (lambda @t178 @t320)) % 0.39/0.62 (define @t363 () (_ @t362 @t20)) % 0.39/0.62 (define @t364 () (and @t322 @t363)) % 0.39/0.62 (define @t365 () (lambda @t178 @t364)) % 0.39/0.62 (define @t366 () (@var "BOUND_VARIABLE_7728" (-> $$unsorted Bool))) % 0.39/0.62 (define @t367 () (_ @t366 @t20)) % 0.39/0.62 (define @t368 () (@list @t366 @t20)) % 0.39/0.62 (define @t369 () (@var "BOUND_VARIABLE_7685" (-> $$unsorted Bool))) % 0.39/0.62 (define @t370 () (forall @t27 (or @t173 (_ @t369 @t5)))) % 0.39/0.62 (define @t371 () (lambda (@list @t369 @t20) (or @t243 @t370))) % 0.39/0.62 (define @t372 () (lambda @t40 @t322)) % 0.39/0.62 (define @t373 () (@list @t39)) % 0.39/0.62 (define @t374 () (lambda @t178 @t322)) % 0.39/0.62 (define @t375 () (_ @t374 @t20)) % 0.39/0.62 (define @t376 () (and @t375 @t367)) % 0.39/0.62 (define @t377 () (lambda @t368 @t376)) % 0.39/0.62 (define @t378 () (lambda @t244 @t322)) % 0.39/0.62 (define @t379 () (_ @t346 @t20)) % 0.39/0.62 (define @t380 () (or @t321 @t379)) % 0.39/0.62 (define @t381 () (lambda @t178 @t380)) % 0.39/0.62 (define @t382 () (_ @t21 @t20)) % 0.39/0.62 (define @t383 () (@list @t21 @t20)) % 0.39/0.62 (define @t384 () (_ @t353 @t20)) % 0.39/0.62 (define @t385 () (not @t384)) % 0.39/0.62 (define @t386 () (or @t385 @t382)) % 0.39/0.62 (define @t387 () (lambda @t383 @t386)) % 0.39/0.62 (define @t388 () (or (not (_ @t22 @t20)) @t382)) % 0.39/0.62 (define @t389 () (lambda @t23 @t388)) % 0.39/0.62 (define @t390 () (not (_ @t22 @t11))) % 0.39/0.62 (define @t391 () (lambda @t343 (or @t390 (_ @t21 @t11)))) % 0.39/0.62 (define @t392 () (lambda @t343 @t390)) % 0.39/0.62 (define @t393 () (_ @t392 @t11)) % 0.39/0.62 (define @t394 () (or @t393 @t16)) % 0.39/0.62 (define @t395 () (lambda @t350 @t394)) % 0.39/0.62 (define @t396 () (forall @t146 @t143)) % 0.39/0.62 (define @t397 () (not @t396)) % 0.39/0.62 (define @t398 () (@quantifiers_skolemize @t396 3)) % 0.39/0.62 (define @t399 () (tptp.r @t398)) % 0.39/0.62 (define @t400 () (tptp.q @t398)) % 0.39/0.62 (define @t401 () (and @t400 @t399)) % 0.39/0.62 (define @t402 () (@quantifiers_skolemize @t396 1)) % 0.39/0.62 (define @t403 () (tptp.irel @t402 @t398)) % 0.39/0.62 (define @t404 () (not @t403)) % 0.39/0.62 (define @t405 () (@quantifiers_skolemize @t396 2)) % 0.39/0.62 (define @t406 () (tptp.p @t405)) % 0.39/0.62 (define @t407 () (tptp.irel @t402 @t405)) % 0.39/0.62 (define @t408 () (not @t407)) % 0.39/0.62 (define @t409 () (@quantifiers_skolemize @t396 0)) % 0.39/0.62 (define @t410 () (tptp.irel @t409 @t402)) % 0.39/0.62 (define @t411 () (not @t410)) % 0.39/0.62 (define @t412 () (forall @t141 (or (not (tptp.irel @t409 @t5)) @t139))) % 0.39/0.62 (define @t413 () (not @t412)) % 0.39/0.62 (define @t414 () (or @t413 @t411 @t408 @t406 @t404 @t401)) % 0.39/0.62 (define @t415 () (not @t414)) % 0.39/0.62 (define @t416 () (@list true)) % 0.39/0.62 (define @t417 () (@list @t414)) % 0.39/0.62 (define @t418 () (or @t408 @t406 @t404 @t399)) % 0.39/0.62 (define @t419 () (not (tptp.irel @t402 @t78))) % 0.39/0.62 (define @t420 () (tptp.p @t78)) % 0.39/0.62 (define @t421 () (and (or @t419 @t420 @t419 (tptp.q @t78)) @t418)) % 0.39/0.62 (define @t422 () (or @t411 @t421)) % 0.39/0.62 (define @t423 () (@list @t412)) % 0.39/0.62 (define @t424 () (or @t408 @t406 @t404 @t400)) % 0.39/0.62 (define @t425 () (and @t424 (or @t419 @t420 @t419 (tptp.r @t78)))) % 0.39/0.62 (define @t426 () (or @t411 @t425)) % 0.39/0.62 (define @t427 () (not @t418)) % 0.39/0.62 (define @t428 () (not @t421)) % 0.39/0.62 (assume @p1 (forall @t3 (_ @t2 @t1))) % 0.39/0.62 (assume @p2 (forall (@list @t1 @t5 @t4) (=> (and @t6 (_ (_ tptp.irel @t5) @t4)) (_ @t2 @t4)))) % 0.39/0.62 (assume @p3 (= tptp.ifalse (_ tptp.inot tptp.itrue))) % 0.39/0.62 (assume @p4 @t10) % 0.39/0.62 (assume @p5 true) 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refl :args (@t53)) % 0.39/0.62 (step @p21 (= tptp.isatisfiable @t54) :rule refl :args (@t54)) % 0.39/0.62 (step @p22 (= tptp.icountersatisfiable @t56) :rule refl :args (@t56)) % 0.39/0.62 (step @p23 (= tptp.iinvalid @t57) :rule refl :args (@t57)) % 0.39/0.62 (step @p24 :rule bool-double-not-elim :args (@t79)) % 0.39/0.62 (step @p25 :rule refl :args (@t103)) % 0.39/0.62 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or @t103 (not @t102)))) % 0.39/0.62 (step @p27 :rule cnf_or_neg :args (@t103 0)) % 0.39/0.62 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 0.39/0.62 (step @p29 :rule reordering :premises (@p28) :args ((or @t79 @t103))) % 0.39/0.62 (step @p30 :rule bool-double-not-elim :args (@t100)) % 0.39/0.62 (step @p31 :rule nary_cong :premises (@p25 @p30) :args ((or @t103 (not @t101)))) % 0.39/0.62 (step @p32 :rule cnf_or_neg :args (@t103 1)) % 0.39/0.62 (step @p33 :rule eq_resolve :premises (@p32 @p31)) % 0.39/0.62 (step @p34 :rule reordering :premises (@p33) :args ((or 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0.39/0.62 (step @p495 :rule trans :premises (@p494 @p468)) % 0.39/0.62 (step @p496 :rule cong :premises (@p495) :args (@t44)) % 0.39/0.62 (step @p497 :rule trans :premises (@p16 @p496)) % 0.39/0.62 (step @p498 :rule ho_cong :premises (@p497 @p363)) % 0.39/0.62 (step @p499 :rule ho_cong :premises (@p498 @p383)) % 0.39/0.62 (step @p500 :rule ho_cong :premises (@p497 @p383)) % 0.39/0.62 (step @p501 :rule ho_cong :premises (@p500 @p363)) % 0.39/0.62 (step @p502 :rule ho_cong :premises (@p408 @p501)) % 0.39/0.62 (step @p503 :rule ho_cong :premises (@p502 @p499)) % 0.39/0.62 (step @p504 :rule ho_cong :premises (@p503 @p341)) % 0.39/0.62 (step @p505 :rule trans :premises (@p504 @p448)) % 0.39/0.62 (step @p506 :rule cong :premises (@p505) :args (@t47)) % 0.39/0.62 (step @p507 :rule trans :premises (@p18 @p506)) % 0.39/0.62 (step @p508 :rule ho_cong :premises (@p507 @p413)) % 0.39/0.62 (step @p509 :rule ho_cong :premises (@p508 @p410)) % 0.39/0.62 (step @p510 :rule refl :args (@t182)) % 0.39/0.62 (step @p511 :rule refl :args (@t50)) % 0.39/0.62 (step @p512 :rule cong :premises (@p511 @p510) :args ((= @t50 @t182))) % 0.39/0.62 (step @p513 :rule symm :premises (@p512)) % 0.39/0.62 (step @p514 :rule eq_resolve :premises (@p511 @p513)) % 0.39/0.62 (step @p515 :rule cong :premises (@p514) :args (@t51)) % 0.39/0.62 (step @p516 :rule cong :premises (@p515) :args (@t53)) % 0.39/0.62 (step @p517 :rule trans :premises (@p20 @p516)) % 0.39/0.62 (step @p518 :rule ho_cong :premises (@p517 @p509)) % 0.39/0.62 (step @p519 :rule cong :premises (@p518) :args (@t10)) % 0.39/0.62 (step @p520 :rule trans :premises (@p519 @p335)) % 0.39/0.62 (step @p521 :rule eq_resolve :premises (@p4 @p520)) % 0.39/0.62 (step @p522 :rule not_and :premises (@p521)) % 0.39/0.62 (step @p523 :rule chain_m_resolution :premises (@p522 @p101) :args (@t397 @t115 (@list @t77))) % 0.39/0.62 (step @p524 :rule refl :args (@t415)) % 0.39/0.62 (step @p525 :rule bool-double-not-elim :args (@t396)) % 0.39/0.62 (step @p526 :rule nary_cong :premises (@p525 @p524) :args ((or (not @t397) @t415))) % 0.39/0.62 (assume-push @p603 @t397) % 0.39/0.62 (step @p528 :rule skolemize :premises (@p603)) % 0.39/0.62 (step-pop @p604 :rule scope :premises (@p528)) % 0.39/0.62 (step @p529 :rule process_scope :premises (@p604) :args (@t415)) % 0.39/0.62 (step @p531 :rule implies_elim :premises (@p529)) % 0.39/0.62 (step @p532 :rule eq_resolve :premises (@p531 @p526)) % 0.39/0.62 (step @p533 :rule chain_m_resolution :premises (@p532 @p523) :args (@t415 @t416 (@list @t396))) % 0.39/0.62 (step @p534 :rule bool-double-not-elim :args (@t410)) % 0.39/0.62 (step @p535 :rule refl :args (@t414)) % 0.39/0.62 (step @p536 :rule nary_cong :premises (@p535 @p534) :args ((or @t414 (not @t411)))) % 0.39/0.62 (step @p537 :rule cnf_or_neg :args (@t414 1)) % 0.39/0.62 (step @p538 :rule eq_resolve :premises (@p537 @p536)) % 0.39/0.62 (step @p539 :rule reordering :premises (@p538) :args ((or @t410 @t414))) % 0.39/0.62 (step @p540 :rule chain_m_resolution :premises (@p539 @p533) :args (@t410 @t416 @t417)) % 0.39/0.62 (step @p541 :rule bool-double-not-elim :args (@t412)) % 0.39/0.62 (step @p542 :rule nary_cong :premises (@p535 @p541) :args ((or @t414 (not @t413)))) % 0.39/0.62 (step @p543 :rule cnf_or_neg :args (@t414 0)) % 0.39/0.62 (step @p544 :rule eq_resolve :premises (@p543 @p542)) % 0.39/0.62 (step @p545 :rule reordering :premises (@p544) :args ((or @t412 @t414))) % 0.39/0.62 (step @p546 :rule chain_m_resolution :premises (@p545 @p533) :args (@t412 @t416 @t417)) % 0.39/0.62 (assume-push @p605 @t412) % 0.39/0.62 (step @p548 :rule instantiate :premises (@p605) :args ((@list @t402 @t78 @t78 @t405 @t398))) % 0.39/0.62 (step-pop @p606 :rule scope :premises (@p548)) % 0.39/0.62 (step @p549 :rule process_scope :premises (@p606) :args (@t422)) % 0.39/0.62 (step @p551 :rule implies_elim :premises (@p549)) % 0.39/0.62 (step @p552 :rule chain_m_resolution :premises (@p551 @p546) :args (@t422 @t115 @t423)) % 0.39/0.62 (assume-push @p607 @t412) % 0.39/0.62 (step @p554 :rule instantiate :premises (@p607) :args ((@list @t402 @t405 @t398 @t78 @t78))) % 0.39/0.62 (step-pop @p608 :rule scope :premises (@p554)) % 0.39/0.62 (step @p555 :rule process_scope :premises (@p608) :args (@t426)) % 0.39/0.62 (step @p557 :rule implies_elim :premises (@p555)) % 0.39/0.62 (step @p558 :rule chain_m_resolution :premises (@p557 @p546) :args (@t426 @t115 @t423)) % 0.39/0.62 (step @p559 :rule cnf_or_pos :args (@t426)) % 0.39/0.62 (step @p560 :rule reordering :premises (@p559) :args ((or @t411 @t425 (not @t426)))) % 0.39/0.62 (step @p561 :rule chain_m_resolution :premises (@p560 @p540 @p558) :args (@t425 (@list false false) (@list @t410 @t426))) % 0.39/0.62 (step @p562 :rule cnf_and_pos :args (@t425 0)) % 0.39/0.62 (step @p563 :rule reordering :premises (@p562) :args ((or @t424 (not @t425)))) % 0.39/0.62 (step @p564 :rule chain_m_resolution :premises (@p563 @p561) :args (@t424 @t115 (@list @t425))) % 0.39/0.62 (step @p565 :rule bool-double-not-elim :args (@t403)) % 0.39/0.62 (step @p566 :rule nary_cong :premises (@p535 @p565) :args ((or @t414 (not @t404)))) % 0.39/0.62 (step @p567 :rule cnf_or_neg :args (@t414 4)) % 0.39/0.62 (step @p568 :rule eq_resolve :premises (@p567 @p566)) % 0.39/0.62 (step @p569 :rule reordering :premises (@p568) :args ((or @t403 @t414))) % 0.39/0.62 (step @p570 :rule chain_m_resolution :premises (@p569 @p533) :args (@t403 @t416 @t417)) % 0.39/0.62 (step @p571 :rule cnf_or_neg :args (@t414 3)) % 0.39/0.62 (step @p572 :rule chain_m_resolution :premises (@p571 @p533) :args ((not @t406) @t416 @t417)) % 0.39/0.62 (step @p573 :rule bool-double-not-elim :args (@t407)) % 0.39/0.62 (step @p574 :rule nary_cong :premises (@p535 @p573) :args ((or @t414 (not @t408)))) % 0.39/0.62 (step @p575 :rule cnf_or_neg :args (@t414 2)) % 0.39/0.62 (step @p576 :rule eq_resolve :premises (@p575 @p574)) % 0.39/0.62 (step @p577 :rule reordering :premises (@p576) :args ((or @t407 @t414))) % 0.39/0.62 (step @p578 :rule chain_m_resolution :premises (@p577 @p533) :args (@t407 @t416 @t417)) % 0.39/0.62 (step @p579 :rule cnf_or_pos :args (@t424)) % 0.39/0.62 (step @p580 :rule reordering :premises (@p579) :args ((or @t408 @t406 @t404 @t400 (not @t424)))) % 0.39/0.62 (step @p581 :rule chain_m_resolution :premises (@p580 @p578 @p572 @p570 @p564) :args (@t400 (@list false true false false) (@list @t407 @t406 @t403 @t424))) % 0.39/0.62 (step @p582 :rule cnf_or_neg :args (@t414 5)) % 0.39/0.62 (step @p583 :rule chain_m_resolution :premises (@p582 @p533) :args ((not @t401) @t416 @t417)) % 0.39/0.62 (step @p584 :rule cnf_and_neg :args (@t401)) % 0.39/0.62 (step @p585 :rule chain_m_resolution :premises (@p584 @p583 @p581) :args ((not @t399) (@list true false) (@list @t401 @t400))) % 0.39/0.62 (step @p586 :rule cnf_or_pos :args (@t418)) % 0.39/0.62 (step @p587 :rule reordering :premises (@p586) :args ((or @t408 @t406 @t404 @t399 @t427))) % 0.39/0.62 (step @p588 :rule chain_m_resolution :premises (@p587 @p578 @p572 @p570 @p585) :args (@t427 (@list false true false true) (@list @t407 @t406 @t403 @t399))) % 0.39/0.62 (step @p589 :rule cnf_and_pos :args (@t421 1)) % 0.39/0.62 (step @p590 :rule reordering :premises (@p589) :args ((or @t418 @t428))) % 0.39/0.62 (step @p591 :rule chain_m_resolution :premises (@p590 @p588) :args (@t428 @t416 (@list @t418))) % 0.39/0.62 (step @p592 :rule cnf_or_pos :args (@t422)) % 0.39/0.62 (step @p593 :rule reordering :premises (@p592) :args ((or @t411 @t421 (not @t422)))) % 0.39/0.62 (step @p594 false :rule chain_m_resolution :premises (@p593 @p591 @p552 @p540) :args (false (@list true false false) (@list @t421 @t422 @t410))) % 0.39/0.62 ) % 0.39/0.62 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------