%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET044^23 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:47:07 AM UTC 2026 % Result : Theorem 0.35s 0.59s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET044^23 : TPTP v9.2.1. Released v8.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n013.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 14:47:30 EDT 2026 % 0.15/0.34 % CPUTime : % 0.25/0.48 %----Proving TH0 % 0.35/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.59 % SZS status Theorem % 0.35/0.59 % SZS output start Proof % 0.35/0.59 ( % 0.35/0.59 (declare-sort $$unsorted 0) % 0.35/0.59 (declare-sort tptp.mworld 0) % 0.35/0.59 (declare-const tptp.mactual tptp.mworld) % 0.35/0.59 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.35/0.59 (declare-const tptp.eiw_di (-> $$unsorted tptp.mworld Bool)) % 0.35/0.59 (declare-const tptp.element (-> $$unsorted $$unsorted tptp.mworld Bool)) % 0.35/0.59 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.35/0.59 (define tptp.mnot () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.35/0.59 (define tptp.mand () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.35/0.59 (define tptp.mor () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.35/0.59 (define tptp.mimplies () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.35/0.59 (define tptp.mequiv () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.35/0.59 (define tptp.mbox () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.35/0.59 (define tptp.mdia () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (and (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.35/0.59 (define tptp.mforall_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.35/0.59 (define tptp.mexists_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.35/0.59 (define @t1 () (@var "W" tptp.mworld)) % 0.35/0.59 (define @t2 () (_ tptp.mrel @t1)) % 0.35/0.59 (define @t3 () (@list @t1)) % 0.35/0.59 (define @t4 () (@var "V" tptp.mworld)) % 0.35/0.59 (define @t5 () (@var "U" tptp.mworld)) % 0.35/0.59 (define @t6 () (_ @t2 @t4)) % 0.35/0.59 (define @t7 () (@var "X" $$unsorted)) % 0.35/0.59 (define @t8 () (_ tptp.eiw_di @t7)) % 0.35/0.59 (define @t9 () (_ @t8 @t1)) % 0.35/0.59 (define @t10 () (@list @t7)) % 0.35/0.59 (define @t11 () (@var "__flatten_var_0" tptp.mworld)) % 0.35/0.59 (define @t12 () (@var "X1" $$unsorted)) % 0.35/0.59 (define @t13 () (@var "Z" $$unsorted)) % 0.35/0.59 (define @t14 () (_ tptp.element @t13)) % 0.35/0.59 (define @t15 () (_ @t14 @t12)) % 0.35/0.59 (define @t16 () (@var "Y1" $$unsorted)) % 0.35/0.59 (define @t17 () (_ @t14 @t16)) % 0.35/0.59 (define @t18 () (@list @t13 @t11)) % 0.35/0.59 (define @t19 () (lambda @t18 (_ (_ (_ tptp.mequiv @t17) (_ tptp.mnot @t15)) @t11))) % 0.35/0.59 (define @t20 () (@list @t16 @t11)) % 0.35/0.59 (define @t21 () (lambda @t20 (_ (_ tptp.mforall_di @t19) @t11))) % 0.35/0.59 (define @t22 () (@list @t12 @t11)) % 0.35/0.59 (define @t23 () (lambda @t22 (_ (_ tptp.mexists_di @t21) @t11))) % 0.35/0.59 (define @t24 () (_ tptp.element @t7)) % 0.35/0.59 (define @t25 () (_ @t24 @t7)) % 0.35/0.59 (define @t26 () (@var "Y" $$unsorted)) % 0.35/0.59 (define @t27 () (_ @t24 @t26)) % 0.35/0.59 (define @t28 () (@list @t7 @t11)) % 0.35/0.59 (define @t29 () (lambda @t28 (_ (_ (_ tptp.mequiv @t27) @t25) @t11))) % 0.35/0.59 (define @t30 () (@list @t26 @t11)) % 0.35/0.59 (define @t31 () (lambda @t30 (_ (_ tptp.mforall_di @t29) @t11))) % 0.35/0.59 (define @t32 () (not (_ tptp.mlocal (_ (_ tptp.mimplies (_ tptp.mexists_di @t31)) (_ tptp.mnot (_ tptp.mforall_di @t23)))))) % 0.35/0.59 (define @t33 () (@var "Phi" (-> tptp.mworld Bool))) % 0.35/0.59 (define @t34 () (lambda (@list @t33) (_ @t33 tptp.mactual))) % 0.35/0.59 (define @t35 () (@var "A" (-> tptp.mworld Bool))) % 0.35/0.59 (define @t36 () (_ @t35 @t1)) % 0.35/0.59 (define @t37 () (lambda (@list @t35 @t1) (not @t36))) % 0.35/0.59 (define @t38 () (@var "B" (-> tptp.mworld Bool))) % 0.35/0.59 (define @t39 () (_ @t38 @t1)) % 0.35/0.59 (define @t40 () (@list @t35 @t38 @t1)) % 0.35/0.59 (define @t41 () (lambda @t40 (and @t36 @t39))) % 0.35/0.59 (define @t42 () (lambda @t40 (or @t36 @t39))) % 0.35/0.59 (define @t43 () (lambda @t40 (=> @t36 @t39))) % 0.35/0.59 (define @t44 () (lambda @t40 (= @t36 @t39))) % 0.35/0.59 (define @t45 () (_ @t33 @t4)) % 0.35/0.59 (define @t46 () (@list @t4)) % 0.35/0.59 (define @t47 () (@list @t33 @t1)) % 0.35/0.59 (define @t48 () (lambda @t47 (forall @t46 (=> @t6 @t45)))) % 0.35/0.59 (define @t49 () (lambda @t47 (exists @t46 (and @t6 @t45)))) % 0.35/0.59 (define @t50 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 0.35/0.59 (define @t51 () (_ (_ @t50 @t7) @t1)) % 0.35/0.59 (define @t52 () (forall @t10 (=> @t9 @t51))) % 0.35/0.59 (define @t53 () (@list @t50 @t1)) % 0.35/0.59 (define @t54 () (lambda @t53 @t52)) % 0.35/0.59 (define @t55 () (and @t9 @t51)) % 0.35/0.59 (define @t56 () (exists @t10 @t55)) % 0.35/0.59 (define @t57 () (lambda @t53 @t56)) % 0.35/0.59 (define @t58 () (@var "BOUND_VARIABLE_7893" $$unsorted)) % 0.35/0.59 (define @t59 () (@var "BOUND_VARIABLE_7845" $$unsorted)) % 0.35/0.59 (define @t60 () (tptp.element @t59 @t58 tptp.mactual)) % 0.35/0.59 (define @t61 () (not (tptp.eiw_di @t59 tptp.mactual))) % 0.35/0.59 (define @t62 () (@list @t59)) % 0.35/0.59 (define @t63 () (not (tptp.eiw_di @t58 tptp.mactual))) % 0.35/0.59 (define @t64 () (@list @t58)) % 0.35/0.59 (define @t65 () (not (tptp.eiw_di @t7 tptp.mactual))) % 0.35/0.59 (define @t66 () (forall @t10 (or @t65 (not (forall @t64 (or @t63 (not (forall @t62 (or @t61 (= (not (tptp.element @t59 @t7 tptp.mactual)) @t60)))))))))) % 0.35/0.59 (define @t67 () (@var "BOUND_VARIABLE_7754" $$unsorted)) % 0.35/0.59 (define @t68 () (tptp.element @t67 @t67 tptp.mactual)) % 0.35/0.59 (define @t69 () (not (tptp.eiw_di @t67 tptp.mactual))) % 0.35/0.59 (define @t70 () (@list @t67)) % 0.35/0.59 (define @t71 () (forall @t10 (or @t65 (not (forall @t70 (or @t69 (= (tptp.element @t67 @t7 tptp.mactual) @t68))))))) % 0.35/0.59 (define @t72 () (not @t71)) % 0.35/0.59 (define @t73 () (tptp.element @t59 @t7 @t1)) % 0.35/0.59 (define @t74 () (not (tptp.eiw_di @t59 @t1))) % 0.35/0.59 (define @t75 () (not (forall @t64 (or (not (tptp.eiw_di @t58 @t1)) (not (forall @t62 (or @t74 (= (not @t73) (tptp.element @t59 @t58 @t1))))))))) % 0.35/0.59 (define @t76 () (tptp.eiw_di @t7 @t1)) % 0.35/0.59 (define @t77 () (not @t76)) % 0.35/0.59 (define @t78 () (forall @t10 (or @t77 @t75))) % 0.35/0.59 (define @t79 () (not @t78)) % 0.35/0.59 (define @t80 () (forall @t70 (or (not (tptp.eiw_di @t67 @t1)) (= (tptp.element @t67 @t7 @t1) (tptp.element @t67 @t67 @t1))))) % 0.35/0.59 (define @t81 () (not (forall @t10 (or @t77 (not @t80))))) % 0.35/0.59 (define @t82 () (lambda @t3 (=> @t81 @t79))) % 0.35/0.59 (define @t83 () (_ @t82 tptp.mactual)) % 0.35/0.59 (define @t84 () (lambda @t3 @t79)) % 0.35/0.59 (define @t85 () (_ @t84 @t1)) % 0.35/0.59 (define @t86 () (=> @t81 @t85)) % 0.35/0.59 (define @t87 () (lambda @t3 @t86)) % 0.35/0.59 (define @t88 () (@list @t38 @t1)) % 0.35/0.59 (define @t89 () (lambda @t3 @t78)) % 0.35/0.59 (define @t90 () (_ @t89 @t1)) % 0.35/0.59 (define @t91 () (not @t90)) % 0.35/0.59 (define @t92 () (lambda @t3 @t91)) % 0.35/0.59 (define @t93 () (not (tptp.element @t59 @t12 @t11))) % 0.35/0.59 (define @t94 () (not (tptp.eiw_di @t59 @t11))) % 0.35/0.59 (define @t95 () (tptp.element @t59 @t7 @t11)) % 0.35/0.59 (define @t96 () (not (tptp.eiw_di @t7 @t11))) % 0.35/0.59 (define @t97 () (forall @t10 (or @t96 (not (forall @t62 (or @t94 (= @t93 @t95))))))) % 0.35/0.59 (define @t98 () (@list @t7)) % 0.35/0.59 (define @t99 () (not @t97)) % 0.35/0.59 (define @t100 () (lambda @t22 @t99)) % 0.35/0.59 (define @t101 () (or @t77 (_ @t100 @t7 @t1))) % 0.35/0.59 (define @t102 () (forall @t10 @t101)) % 0.35/0.59 (define @t103 () (lambda @t3 @t102)) % 0.35/0.59 (define @t104 () (_ @t50 @t7 @t1)) % 0.35/0.59 (define @t105 () (lambda @t53 (forall @t10 (or @t77 @t104)))) % 0.35/0.59 (define @t106 () (or @t94 (= @t95 @t93))) % 0.35/0.59 (define @t107 () (forall @t62 @t106)) % 0.35/0.59 (define @t108 () (not @t107)) % 0.35/0.59 (define @t109 () (or @t96 @t108)) % 0.35/0.59 (define @t110 () (forall @t10 @t109)) % 0.35/0.59 (define @t111 () (not @t110)) % 0.35/0.59 (define @t112 () (forall @t62 (or @t74 (= @t73 (not (tptp.element @t59 @t12 @t1)))))) % 0.35/0.59 (define @t113 () (forall @t10 (or @t96 (= (tptp.element @t7 @t16 @t11) (not (tptp.element @t7 @t12 @t11)))))) % 0.35/0.59 (define @t114 () (lambda @t20 @t113)) % 0.35/0.59 (define @t115 () (not (_ @t114 @t7 @t1))) % 0.35/0.59 (define @t116 () (or @t77 @t115)) % 0.35/0.59 (define @t117 () (forall @t10 @t116)) % 0.35/0.59 (define @t118 () (not @t117)) % 0.35/0.59 (define @t119 () (lambda @t3 @t118)) % 0.35/0.59 (define @t120 () (lambda @t53 (not (forall @t10 (or @t77 (not @t104)))))) % 0.35/0.59 (define @t121 () (tptp.element @t7 @t12 @t1)) % 0.35/0.59 (define @t122 () (tptp.element @t7 @t16 @t1)) % 0.35/0.59 (define @t123 () (_ (_ @t24 @t12) @t1)) % 0.35/0.59 (define @t124 () (not @t123)) % 0.35/0.59 (define @t125 () (_ (_ @t24 @t16) @t1)) % 0.35/0.59 (define @t126 () (= @t125 @t124)) % 0.35/0.59 (define @t127 () (or @t77 @t126)) % 0.35/0.59 (define @t128 () (= (_ @t17 @t11) (not (_ @t15 @t11)))) % 0.35/0.59 (define @t129 () (lambda @t18 @t128)) % 0.35/0.59 (define @t130 () (_ @t129 @t7 @t1)) % 0.35/0.59 (define @t131 () (or @t77 @t130)) % 0.35/0.59 (define @t132 () (forall @t10 @t131)) % 0.35/0.59 (define @t133 () (lambda @t3 @t132)) % 0.35/0.59 (define @t134 () (not (_ @t15 @t1))) % 0.35/0.59 (define @t135 () (_ @t17 @t1)) % 0.35/0.59 (define @t136 () (lambda @t3 @t134)) % 0.35/0.59 (define @t137 () (_ @t136 @t1)) % 0.35/0.59 (define @t138 () (lambda @t3 (= @t137 @t135))) % 0.35/0.59 (define @t139 () (_ @t37 @t15)) % 0.35/0.59 (define @t140 () (lambda @t88 (= @t135 @t39))) % 0.35/0.59 (define @t141 () (_ @t44 @t17)) % 0.35/0.59 (define @t142 () (lambda @t18 (_ (_ @t141 @t139) @t11))) % 0.35/0.59 (define @t143 () (lambda @t20 (_ (_ @t105 @t142) @t11))) % 0.35/0.59 (define @t144 () (lambda @t22 (_ (_ @t120 @t143) @t11))) % 0.35/0.59 (define @t145 () (lambda @t3 @t81)) % 0.35/0.59 (define @t146 () (_ @t145 @t1)) % 0.35/0.59 (define @t147 () (=> @t146 @t39)) % 0.35/0.59 (define @t148 () (lambda @t88 @t147)) % 0.35/0.59 (define @t149 () (forall @t10 (or @t96 (= (tptp.element @t7 @t26 @t11) (tptp.element @t7 @t7 @t11))))) % 0.35/0.59 (define @t150 () (lambda @t30 @t149)) % 0.35/0.59 (define @t151 () (not (_ @t150 @t7 @t1))) % 0.35/0.59 (define @t152 () (or @t77 @t151)) % 0.35/0.59 (define @t153 () (forall @t10 @t152)) % 0.35/0.59 (define @t154 () (not @t153)) % 0.35/0.59 (define @t155 () (lambda @t3 @t154)) % 0.35/0.59 (define @t156 () (tptp.element @t7 @t7 @t1)) % 0.35/0.59 (define @t157 () (tptp.element @t7 @t26 @t1)) % 0.35/0.59 (define @t158 () (_ @t25 @t1)) % 0.35/0.59 (define @t159 () (_ @t27 @t1)) % 0.35/0.59 (define @t160 () (= @t159 @t158)) % 0.35/0.59 (define @t161 () (or @t77 @t160)) % 0.35/0.59 (define @t162 () (= (_ @t27 @t11) (_ @t25 @t11))) % 0.35/0.59 (define @t163 () (lambda @t28 @t162)) % 0.35/0.59 (define @t164 () (_ @t163 @t7 @t1)) % 0.35/0.59 (define @t165 () (or @t77 @t164)) % 0.35/0.59 (define @t166 () (forall @t10 @t165)) % 0.35/0.59 (define @t167 () (lambda @t3 @t166)) % 0.35/0.59 (define @t168 () (lambda @t3 (= @t158 @t159))) % 0.35/0.59 (define @t169 () (lambda @t88 (= @t159 @t39))) % 0.35/0.59 (define @t170 () (_ @t44 @t27)) % 0.35/0.59 (define @t171 () (lambda @t28 (_ (_ @t170 @t25) @t11))) % 0.35/0.59 (define @t172 () (lambda @t30 (_ (_ @t105 @t171) @t11))) % 0.35/0.59 (define @t173 () (not @t9)) % 0.35/0.59 (define @t174 () (or @t173 @t51)) % 0.35/0.59 (define @t175 () (not @t51)) % 0.35/0.59 (define @t176 () (or @t173 @t175)) % 0.35/0.59 (define @t177 () (forall @t10 (not @t55))) % 0.35/0.59 (define @t178 () (not @t177)) % 0.35/0.59 (define @t179 () (@quantifiers_skolemize @t71 0)) % 0.35/0.59 (define @t180 () (not (tptp.element @t59 @t179 tptp.mactual))) % 0.35/0.59 (define @t181 () (or @t61 (= @t180 @t60))) % 0.35/0.59 (define @t182 () (forall @t62 @t181)) % 0.35/0.59 (define @t183 () (not @t182)) % 0.35/0.59 (define @t184 () (or @t63 @t183)) % 0.35/0.59 (define @t185 () (forall @t64 @t184)) % 0.35/0.59 (define @t186 () (not @t185)) % 0.35/0.59 (define @t187 () (tptp.eiw_di @t179 tptp.mactual)) % 0.35/0.59 (define @t188 () (not @t187)) % 0.35/0.59 (define @t189 () (or @t188 @t186)) % 0.35/0.59 (define @t190 () (forall @t64 (or @t63 (not (forall @t62 (or @t61 (= @t60 @t180))))))) % 0.35/0.59 (define @t191 () (not @t190)) % 0.35/0.59 (define @t192 () (or @t188 @t191)) % 0.35/0.59 (define @t193 () (@list false)) % 0.35/0.59 (define @t194 () (tptp.element @t67 @t179 tptp.mactual)) % 0.35/0.59 (define @t195 () (forall @t70 (or @t69 (= @t68 @t194)))) % 0.35/0.59 (define @t196 () (not @t195)) % 0.35/0.59 (define @t197 () (or @t188 @t196)) % 0.35/0.59 (define @t198 () (not @t197)) % 0.35/0.59 (define @t199 () (or @t69 (= @t194 @t68))) % 0.35/0.59 (define @t200 () (forall @t70 @t199)) % 0.35/0.59 (define @t201 () (not @t200)) % 0.35/0.59 (define @t202 () (or @t188 @t201)) % 0.35/0.59 (define @t203 () (not @t202)) % 0.35/0.59 (define @t204 () (@list true)) % 0.35/0.59 (define @t205 () (@list @t197)) % 0.35/0.59 (define @t206 () (@list false false)) % 0.35/0.59 (define @t207 () (@quantifiers_skolemize @t190 0)) % 0.35/0.59 (define @t208 () (tptp.element @t59 @t207 tptp.mactual)) % 0.35/0.59 (define @t209 () (forall @t62 (or @t61 (= @t180 @t208)))) % 0.35/0.59 (define @t210 () (not @t209)) % 0.35/0.59 (define @t211 () (tptp.eiw_di @t207 tptp.mactual)) % 0.35/0.59 (define @t212 () (not @t211)) % 0.35/0.59 (define @t213 () (or @t212 @t210)) % 0.35/0.59 (define @t214 () (not @t213)) % 0.35/0.59 (define @t215 () (or @t61 (= @t208 @t180))) % 0.35/0.59 (define @t216 () (forall @t62 @t215)) % 0.35/0.59 (define @t217 () (not @t216)) % 0.35/0.59 (define @t218 () (or @t212 @t217)) % 0.35/0.59 (define @t219 () (not @t218)) % 0.35/0.59 (define @t220 () (@list @t213)) % 0.35/0.59 (define @t221 () (tptp.element @t207 @t179 tptp.mactual)) % 0.35/0.59 (define @t222 () (not @t221)) % 0.35/0.59 (define @t223 () (tptp.element @t207 @t207 tptp.mactual)) % 0.35/0.59 (define @t224 () (or @t212 (= @t222 @t223))) % 0.35/0.59 (define @t225 () (@list @t207)) % 0.35/0.59 (define @t226 () (= @t223 @t222)) % 0.35/0.59 (define @t227 () (or @t212 @t226)) % 0.35/0.59 (define @t228 () (= @t223 @t221)) % 0.35/0.59 (define @t229 () (or @t212 @t228)) % 0.35/0.59 (define @t230 () (not @t228)) % 0.35/0.59 (define @t231 () (not @t223)) % 0.35/0.59 (define @t232 () (not @t226)) % 0.35/0.59 (assume @p1 (forall @t3 (_ @t2 @t1))) % 0.35/0.59 (assume @p2 (forall (@list @t1 @t4 @t5) (=> (and (_ @t2 @t5) @t6) (_ (_ tptp.mrel @t5) @t4)))) % 0.35/0.59 (assume @p3 (forall @t3 (exists @t10 @t9))) % 0.35/0.59 (assume @p4 (forall (@list @t1 @t4 @t7) (=> (and @t9 (_ (_ tptp.mrel @t4) @t1)) (_ @t8 @t4)))) % 0.35/0.59 (assume @p5 @t32) % 0.35/0.59 (assume @p6 true) % 0.35/0.59 (step @p7 (= tptp.mlocal @t34) :rule refl :args (@t34)) % 0.35/0.59 (step @p8 (= tptp.mnot @t37) :rule refl :args (@t37)) % 0.35/0.59 (step @p9 (= tptp.mand @t41) :rule refl :args (@t41)) % 0.35/0.59 (step @p10 (= tptp.mor @t42) :rule refl :args (@t42)) % 0.35/0.59 (step @p11 (= tptp.mimplies @t43) :rule refl :args (@t43)) % 0.35/0.59 (step @p12 (= tptp.mequiv @t44) :rule refl :args (@t44)) % 0.35/0.59 (step @p13 (= tptp.mbox @t48) :rule refl :args (@t48)) % 0.35/0.59 (step @p14 (= tptp.mdia @t49) :rule refl :args (@t49)) % 0.35/0.59 (step @p15 (= tptp.mforall_di @t54) :rule refl :args (@t54)) % 0.35/0.59 (step @p16 (= tptp.mexists_di @t57) :rule refl :args (@t57)) % 0.35/0.59 (step @p17 :rule beta-reduce :args ((= @t83 (=> @t72 (not @t66))))) % 0.35/0.59 (step @p18 :rule beta-reduce :args ((= (_ @t34 @t82) @t83))) % 0.35/0.59 (step @p19 :rule trans :premises (@p18 @p17)) % 0.35/0.59 (step @p20 :rule beta-reduce :args ((= @t85 @t79))) % 0.35/0.59 (step @p21 :rule refl :args (@t81)) % 0.35/0.59 (step @p22 :rule cong :premises (@p21 @p20) :args (@t86)) % 0.35/0.59 (step @p23 :rule cong :premises (@p22) :args (@t87)) % 0.35/0.59 (step @p24 :rule beta-reduce :args ((= (_ (lambda @t88 (=> @t81 @t39)) @t84) @t87))) % 0.35/0.59 (step @p25 :rule trans :premises (@p24 @p23)) % 0.35/0.59 (step @p26 :rule beta-reduce :args ((= @t90 @t78))) % 0.35/0.59 (step @p27 :rule cong :premises (@p26) :args (@t91)) % 0.35/0.59 (step @p28 :rule cong :premises (@p27) :args (@t92)) % 0.35/0.59 (step @p29 :rule beta-reduce :args ((= (_ @t37 @t89) @t92))) % 0.35/0.59 (step @p30 :rule trans :premises (@p29 @p28)) % 0.35/0.59 (step @p31 :rule beta-reduce :args ((= (_ (lambda @t22 (not (forall @t64 (or (not (tptp.eiw_di @t58 @t11)) (not (forall @t62 (or @t94 (= @t93 (tptp.element @t59 @t58 @t11))))))))) @t7 @t1) @t75))) % 0.35/0.59 (step @p32 :rule refl :args (@t1)) % 0.35/0.59 (step @p33 :rule refl :args (@t7)) % 0.35/0.59 (step @p34 :rule alpha_equiv :args (@t97 @t98 (@list @t58))) % 0.35/0.59 (step @p35 :rule cong :premises (@p34) :args (@t99)) % 0.35/0.59 (step @p36 :rule cong :premises (@p35) :args (@t100)) % 0.35/0.59 (step @p37 :rule ho_cong :premises (@p36 @p33 @p32)) % 0.35/0.59 (step @p38 :rule trans :premises (@p37 @p31)) % 0.35/0.59 (step @p39 :rule refl :args (@t77)) % 0.35/0.59 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t101)) % 0.35/0.59 (step @p41 :rule cong :premises (@p40) :args (@t102)) % 0.35/0.59 (step @p42 :rule cong :premises (@p41) :args (@t103)) % 0.35/0.59 (step @p43 :rule beta-reduce :args ((= (_ @t105 @t100) @t103))) % 0.35/0.59 (step @p44 :rule trans :premises (@p43 @p42)) % 0.35/0.59 (step @p45 :rule eq-symm :args (@t95 @t93)) % 0.35/0.59 (step @p46 :rule refl :args (@t94)) % 0.35/0.59 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t106)) % 0.35/0.59 (step @p48 :rule cong :premises (@p47) :args (@t107)) % 0.35/0.59 (step @p49 :rule cong :premises (@p48) :args (@t108)) % 0.35/0.59 (step @p50 :rule refl :args (@t96)) % 0.35/0.59 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t109)) % 0.35/0.59 (step @p52 :rule cong :premises (@p51) :args (@t110)) % 0.35/0.59 (step @p53 :rule cong :premises (@p52) :args (@t111)) % 0.35/0.59 (step @p54 :rule beta-reduce :args ((= (_ (lambda @t3 (not (forall @t10 (or @t77 (not @t112))))) @t11) @t111))) % 0.35/0.59 (step @p55 :rule trans :premises (@p54 @p53)) % 0.35/0.59 (step @p56 :rule refl :args (@t11)) % 0.35/0.59 (step @p57 :rule beta-reduce :args ((= (_ (lambda @t20 (forall @t62 (or @t94 (= (tptp.element @t59 @t16 @t11) @t93)))) @t7 @t1) @t112))) % 0.35/0.59 (step @p58 :rule alpha_equiv :args (@t113 @t98 (@list @t59))) % 0.35/0.59 (step @p59 :rule cong :premises (@p58) :args (@t114)) % 0.35/0.59 (step @p60 :rule ho_cong :premises (@p59 @p33 @p32)) % 0.35/0.59 (step @p61 :rule trans :premises (@p60 @p57)) % 0.35/0.59 (step @p62 :rule cong :premises (@p61) :args (@t115)) % 0.35/0.59 (step @p63 :rule nary_cong :premises (@p39 @p62) :args (@t116)) % 0.35/0.59 (step @p64 :rule cong :premises (@p63) :args (@t117)) % 0.35/0.59 (step @p65 :rule cong :premises (@p64) :args (@t118)) % 0.35/0.59 (step @p66 :rule cong :premises (@p65) :args (@t119)) % 0.35/0.59 (step @p67 :rule beta-reduce :args ((= (_ @t120 @t114) @t119))) % 0.35/0.59 (step @p68 :rule trans :premises (@p67 @p66)) % 0.35/0.59 (step @p69 :rule beta-reduce :args ((= (_ (lambda @t3 (forall @t10 (or @t77 (= @t122 (not @t121))))) @t11) @t113))) % 0.35/0.59 (step @p70 :rule refl :args (@t121)) % 0.35/0.59 (step @p71 :rule refl :args (@t123)) % 0.35/0.59 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t123 @t121))) % 0.35/0.59 (step @p73 :rule symm :premises (@p72)) % 0.35/0.59 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.35/0.59 (step @p75 :rule cong :premises (@p74) :args (@t124)) % 0.35/0.59 (step @p76 :rule refl :args (@t122)) % 0.35/0.59 (step @p77 :rule refl :args (@t125)) % 0.35/0.59 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t125 @t122))) % 0.35/0.59 (step @p79 :rule symm :premises (@p78)) % 0.35/0.59 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.35/0.59 (step @p81 :rule cong :premises (@p80 @p75) :args (@t126)) % 0.35/0.59 (step @p82 :rule refl :args (@t77)) % 0.35/0.59 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t127)) % 0.35/0.59 (step @p84 :rule cong :premises (@p83) :args ((forall @t10 @t127))) % 0.35/0.59 (step @p85 :rule beta-reduce :args ((= @t130 @t126))) % 0.35/0.59 (step @p86 :rule nary_cong :premises (@p39 @p85) :args (@t131)) % 0.35/0.59 (step @p87 :rule cong :premises (@p86) :args (@t132)) % 0.35/0.59 (step @p88 :rule trans :premises (@p87 @p84)) % 0.35/0.59 (step @p89 :rule cong :premises (@p88) :args (@t133)) % 0.35/0.59 (step @p90 :rule beta-reduce :args ((= (_ @t105 @t129) @t133))) % 0.35/0.59 (step @p91 :rule trans :premises (@p90 @p89)) % 0.35/0.59 (step @p92 :rule beta-reduce :args ((= (_ (lambda @t3 (= @t135 @t134)) @t11) @t128))) % 0.35/0.59 (step @p93 :rule beta-reduce :args ((= @t137 @t134))) % 0.35/0.59 (step @p94 :rule refl :args (@t135)) % 0.35/0.59 (step @p95 :rule cong :premises (@p94 @p93) :args 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0.35/0.59 (step @p111 :rule refl :args (@t105)) % 0.35/0.59 (step @p112 :rule ho_cong :premises (@p111 @p110)) % 0.35/0.59 (step @p113 :rule trans :premises (@p112 @p91)) % 0.35/0.59 (step @p114 :rule ho_cong :premises (@p113 @p56)) % 0.35/0.59 (step @p115 :rule trans :premises (@p114 @p69)) % 0.35/0.59 (step @p116 :rule cong :premises (@p115) :args (@t143)) % 0.35/0.59 (step @p117 :rule refl :args (@t120)) % 0.35/0.59 (step @p118 :rule ho_cong :premises (@p117 @p116)) % 0.35/0.59 (step @p119 :rule trans :premises (@p118 @p68)) % 0.35/0.59 (step @p120 :rule ho_cong :premises (@p119 @p56)) % 0.35/0.59 (step @p121 :rule trans :premises (@p120 @p55)) % 0.35/0.59 (step @p122 :rule cong :premises (@p121) :args (@t144)) % 0.35/0.59 (step @p123 :rule ho_cong :premises (@p111 @p122)) % 0.35/0.59 (step @p124 :rule trans :premises (@p123 @p44)) % 0.35/0.59 (step @p125 :rule refl :args (@t37)) % 0.35/0.59 (step @p126 :rule ho_cong :premises (@p125 @p124)) % 0.35/0.59 (step @p127 :rule trans :premises (@p126 @p30)) % 0.35/0.59 (step @p128 :rule refl :args (@t39)) % 0.35/0.59 (step @p129 :rule beta-reduce :args ((= @t146 @t81))) % 0.35/0.59 (step @p130 :rule cong :premises (@p129 @p128) :args (@t147)) % 0.35/0.59 (step @p131 :rule cong :premises (@p130) :args (@t148)) % 0.35/0.59 (step @p132 :rule beta-reduce :args ((= (_ @t43 @t145) @t148))) % 0.35/0.59 (step @p133 :rule trans :premises (@p132 @p131)) % 0.35/0.59 (step @p134 :rule beta-reduce :args ((= (_ (lambda @t30 (forall @t70 (or (not (tptp.eiw_di @t67 @t11)) (= (tptp.element @t67 @t26 @t11) (tptp.element @t67 @t67 @t11))))) @t7 @t1) @t80))) % 0.35/0.59 (step @p135 :rule alpha_equiv :args (@t149 @t98 (@list @t67))) % 0.35/0.59 (step @p136 :rule cong :premises (@p135) :args (@t150)) % 0.35/0.59 (step @p137 :rule ho_cong :premises (@p136 @p33 @p32)) % 0.35/0.59 (step @p138 :rule trans :premises (@p137 @p134)) % 0.35/0.59 (step @p139 :rule cong :premises (@p138) :args (@t151)) % 0.35/0.59 (step @p140 :rule nary_cong :premises (@p39 @p139) :args (@t152)) % 0.35/0.59 (step @p141 :rule cong :premises (@p140) :args (@t153)) % 0.35/0.59 (step @p142 :rule cong :premises (@p141) :args (@t154)) % 0.35/0.59 (step @p143 :rule cong :premises (@p142) :args (@t155)) % 0.35/0.59 (step @p144 :rule beta-reduce :args ((= (_ @t120 @t150) @t155))) % 0.35/0.59 (step @p145 :rule trans :premises (@p144 @p143)) % 0.35/0.59 (step @p146 :rule beta-reduce :args ((= (_ (lambda @t3 (forall @t10 (or @t77 (= @t157 @t156)))) @t11) @t149))) % 0.35/0.59 (step @p147 :rule refl :args (@t156)) % 0.35/0.59 (step @p148 :rule refl :args (@t158)) % 0.35/0.59 (step @p149 :rule cong :premises (@p148 @p147) :args ((= @t158 @t156))) % 0.35/0.59 (step @p150 :rule symm :premises (@p149)) % 0.35/0.59 (step @p151 :rule eq_resolve :premises (@p148 @p150)) % 0.35/0.59 (step @p152 :rule refl :args (@t157)) % 0.35/0.59 (step @p153 :rule refl :args (@t159)) % 0.35/0.59 (step @p154 :rule cong :premises (@p153 @p152) :args ((= @t159 @t157))) % 0.35/0.59 (step @p155 :rule symm :premises (@p154)) % 0.35/0.59 (step @p156 :rule eq_resolve :premises (@p153 @p155)) % 0.35/0.59 (step @p157 :rule cong :premises (@p156 @p151) :args (@t160)) % 0.35/0.59 (step @p158 :rule nary_cong :premises (@p82 @p157) :args (@t161)) % 0.35/0.59 (step @p159 :rule cong :premises (@p158) :args ((forall @t10 @t161))) % 0.35/0.59 (step @p160 :rule beta-reduce :args ((= @t164 @t160))) % 0.35/0.59 (step @p161 :rule nary_cong :premises (@p39 @p160) :args (@t165)) % 0.35/0.59 (step @p162 :rule cong :premises (@p161) :args (@t166)) % 0.35/0.59 (step @p163 :rule trans :premises (@p162 @p159)) % 0.35/0.59 (step @p164 :rule cong :premises (@p163) :args (@t167)) % 0.35/0.59 (step @p165 :rule beta-reduce :args ((= (_ @t105 @t163) @t167))) % 0.35/0.59 (step @p166 :rule trans :premises (@p165 @p164)) % 0.35/0.59 (step @p167 :rule beta-reduce :args ((= (_ (lambda @t3 @t160) @t11) @t162))) % 0.35/0.59 (step @p168 :rule eq-symm :args (@t158 @t159)) % 0.35/0.59 (step @p169 :rule cong :premises (@p168) :args (@t168)) % 0.35/0.59 (step @p170 :rule beta-reduce :args ((= (_ (lambda @t88 (= @t39 @t159)) @t25) @t168))) % 0.35/0.59 (step @p171 :rule trans :premises (@p170 @p169)) % 0.35/0.59 (step @p172 :rule refl :args (@t25)) % 0.35/0.59 (step @p173 :rule eq-symm :args (@t159 @t39)) % 0.35/0.59 (step @p174 :rule cong :premises (@p173) :args (@t169)) % 0.35/0.59 (step @p175 :rule beta-reduce :args ((= @t170 @t169))) % 0.35/0.59 (step @p176 :rule trans :premises (@p175 @p174)) % 0.35/0.59 (step @p177 :rule ho_cong :premises (@p176 @p172)) % 0.35/0.59 (step @p178 :rule trans :premises (@p177 @p171)) % 0.35/0.59 (step @p179 :rule ho_cong :premises (@p178 @p56)) % 0.35/0.59 (step @p180 :rule trans :premises (@p179 @p167)) % 0.35/0.59 (step @p181 :rule cong :premises (@p180) :args (@t171)) % 0.35/0.59 (step @p182 :rule ho_cong :premises (@p111 @p181)) % 0.35/0.59 (step @p183 :rule trans :premises (@p182 @p166)) % 0.35/0.59 (step @p184 :rule ho_cong :premises (@p183 @p56)) % 0.35/0.59 (step @p185 :rule trans :premises (@p184 @p146)) % 0.35/0.59 (step @p186 :rule cong :premises (@p185) :args (@t172)) % 0.35/0.59 (step @p187 :rule ho_cong :premises (@p117 @p186)) % 0.35/0.59 (step @p188 :rule trans :premises (@p187 @p145)) % 0.35/0.59 (step @p189 :rule refl :args (@t43)) % 0.35/0.59 (step @p190 :rule ho_cong :premises (@p189 @p188)) % 0.35/0.59 (step @p191 :rule trans :premises (@p190 @p133)) % 0.35/0.59 (step @p192 :rule ho_cong :premises (@p191 @p127)) % 0.35/0.59 (step @p193 :rule trans :premises (@p192 @p25)) % 0.35/0.59 (step @p194 :rule refl :args (@t34)) % 0.35/0.59 (step @p195 :rule ho_cong :premises (@p194 @p193)) % 0.35/0.59 (step @p196 :rule trans :premises (@p195 @p19)) % 0.35/0.59 (step @p197 :rule cong :premises (@p196) :args ((not (_ @t34 (_ (_ @t43 (_ @t120 @t172)) (_ @t37 (_ @t105 @t144))))))) % 0.35/0.59 (step @p198 :rule refl :args (@t15)) % 0.35/0.59 (step @p199 :rule ho_cong :premises (@p8 @p198)) % 0.35/0.59 (step @p200 :rule refl :args (@t17)) % 0.35/0.59 (step @p201 :rule ho_cong :premises (@p12 @p200)) % 0.35/0.59 (step @p202 :rule ho_cong :premises (@p201 @p199)) % 0.35/0.59 (step @p203 :rule ho_cong :premises (@p202 @p56)) % 0.35/0.59 (step @p204 :rule cong :premises (@p203) :args (@t19)) % 0.35/0.59 (step @p205 :rule refl :args (@t104)) % 0.35/0.59 (step @p206 :rule refl :args (@t51)) % 0.35/0.59 (step @p207 :rule cong :premises (@p206 @p205) :args ((= @t51 @t104))) % 0.35/0.59 (step @p208 :rule symm :premises (@p207)) % 0.35/0.59 (step @p209 :rule eq_resolve :premises (@p206 @p208)) % 0.35/0.59 (step @p210 :rule refl :args (@t76)) % 0.35/0.59 (step @p211 :rule refl :args (@t9)) % 0.35/0.59 (step @p212 :rule cong :premises (@p211 @p210) :args ((= @t9 @t76))) % 0.35/0.59 (step @p213 :rule symm :premises (@p212)) % 0.35/0.59 (step @p214 :rule eq_resolve :premises (@p211 @p213)) % 0.35/0.59 (step @p215 :rule cong :premises (@p214) :args (@t173)) % 0.35/0.59 (step @p216 :rule nary_cong :premises (@p215 @p209) :args (@t174)) % 0.35/0.59 (step @p217 :rule cong :premises (@p216) :args ((forall @t10 @t174))) % 0.35/0.59 (step @p218 :rule bool-impl-elim :args (@t9 @t51)) % 0.35/0.59 (step @p219 :rule cong :premises (@p218) :args (@t52)) % 0.35/0.59 (step @p220 :rule trans :premises (@p219 @p217)) % 0.35/0.59 (step @p221 :rule cong :premises (@p220) :args (@t54)) % 0.35/0.59 (step @p222 :rule trans :premises (@p15 @p221)) % 0.35/0.59 (step @p223 :rule ho_cong :premises (@p222 @p204)) % 0.35/0.59 (step @p224 :rule ho_cong :premises (@p223 @p56)) % 0.35/0.59 (step @p225 :rule cong :premises (@p224) :args (@t21)) % 0.35/0.59 (step @p226 :rule cong :premises (@p209) :args (@t175)) % 0.35/0.59 (step @p227 :rule nary_cong :premises (@p215 @p226) :args (@t176)) % 0.35/0.59 (step @p228 :rule cong :premises (@p227) :args ((forall @t10 @t176))) % 0.35/0.59 (step @p229 :rule bool-and-de-morgan :args (@t9 @t51 true)) % 0.35/0.59 (step @p230 :rule cong :premises (@p229) :args (@t177)) % 0.35/0.59 (step @p231 :rule trans :premises (@p230 @p228)) % 0.35/0.59 (step @p232 :rule cong :premises (@p231) :args (@t178)) % 0.35/0.59 (step @p233 :rule exists-elim :args ((= @t56 @t178))) % 0.35/0.59 (step @p234 :rule trans :premises (@p233 @p232)) % 0.35/0.59 (step @p235 :rule cong :premises (@p234) :args (@t57)) % 0.35/0.59 (step @p236 :rule trans :premises (@p16 @p235)) % 0.35/0.59 (step @p237 :rule ho_cong :premises (@p236 @p225)) % 0.35/0.59 (step @p238 :rule ho_cong :premises (@p237 @p56)) % 0.35/0.59 (step @p239 :rule cong :premises (@p238) :args (@t23)) % 0.35/0.59 (step @p240 :rule ho_cong :premises (@p222 @p239)) % 0.35/0.59 (step @p241 :rule ho_cong :premises (@p8 @p240)) % 0.35/0.59 (step @p242 :rule refl :args (@t27)) % 0.35/0.59 (step @p243 :rule ho_cong :premises (@p12 @p242)) % 0.35/0.59 (step @p244 :rule ho_cong :premises (@p243 @p172)) % 0.35/0.59 (step @p245 :rule ho_cong :premises (@p244 @p56)) % 0.35/0.59 (step @p246 :rule cong :premises (@p245) :args (@t29)) % 0.35/0.59 (step @p247 :rule ho_cong :premises (@p222 @p246)) % 0.35/0.59 (step @p248 :rule ho_cong :premises (@p247 @p56)) % 0.35/0.59 (step @p249 :rule cong :premises (@p248) :args (@t31)) % 0.35/0.59 (step @p250 :rule ho_cong :premises (@p236 @p249)) % 0.35/0.59 (step @p251 :rule ho_cong :premises (@p11 @p250)) % 0.35/0.59 (step @p252 :rule ho_cong :premises (@p251 @p241)) % 0.35/0.59 (step @p253 :rule ho_cong :premises (@p7 @p252)) % 0.35/0.59 (step @p254 :rule cong :premises (@p253) :args (@t32)) % 0.35/0.59 (step @p255 :rule trans :premises (@p254 @p197)) % 0.35/0.59 (step @p256 :rule eq_resolve :premises (@p5 @p255)) % 0.35/0.59 (step @p257 :rule not_implies_elim2 :premises (@p256)) % 0.35/0.59 (step @p258 :rule not_not_elim :premises (@p257)) % 0.35/0.59 (step @p259 :rule eq-symm :args (@t180 @t60)) % 0.35/0.59 (step @p260 :rule refl :args (@t61)) % 0.35/0.59 (step @p261 :rule nary_cong :premises (@p260 @p259) :args (@t181)) % 0.35/0.59 (step @p262 :rule cong :premises (@p261) :args (@t182)) % 0.35/0.59 (step @p263 :rule cong :premises (@p262) :args (@t183)) % 0.35/0.59 (step @p264 :rule refl :args (@t63)) % 0.35/0.59 (step @p265 :rule nary_cong :premises (@p264 @p263) :args (@t184)) % 0.35/0.59 (step @p266 :rule cong :premises (@p265) :args (@t185)) % 0.35/0.59 (step @p267 :rule cong :premises (@p266) :args (@t186)) % 0.35/0.59 (step @p268 :rule refl :args (@t188)) % 0.35/0.59 (step @p269 :rule nary_cong :premises (@p268 @p267) :args (@t189)) % 0.35/0.59 (step @p270 :rule refl :args (@t66)) % 0.35/0.59 (step @p271 :rule cong :premises (@p270 @p269) :args ((=> @t66 @t189))) % 0.35/0.59 (assume-push @p383 @t66) % 0.35/0.59 (step @p273 :rule instantiate :premises (@p258) :args ((@list @t179))) % 0.35/0.59 (step-pop @p384 :rule scope :premises (@p273)) % 0.35/0.59 (step @p274 :rule process_scope :premises (@p384) :args (@t189)) % 0.35/0.59 (step @p276 :rule eq_resolve :premises (@p274 @p271)) % 0.35/0.59 (step @p277 :rule implies_elim :premises (@p276)) % 0.35/0.59 (step @p278 :rule chain_m_resolution :premises (@p277 @p258) :args (@t192 @t193 (@list @t66))) % 0.35/0.59 (step @p279 :rule not_implies_elim1 :premises (@p256)) % 0.35/0.59 (step @p280 :rule refl :args (@t198)) % 0.35/0.59 (step @p281 :rule bool-double-not-elim :args (@t71)) % 0.35/0.59 (step @p282 :rule nary_cong :premises (@p281 @p280) :args ((or (not @t72) @t198))) % 0.35/0.59 (step @p283 :rule eq-symm :args (@t194 @t68)) % 0.35/0.59 (step @p284 :rule refl :args (@t69)) % 0.35/0.59 (step @p285 :rule nary_cong :premises (@p284 @p283) :args (@t199)) % 0.35/0.59 (step @p286 :rule cong :premises (@p285) :args (@t200)) % 0.35/0.59 (step @p287 :rule cong :premises (@p286) :args (@t201)) % 0.35/0.59 (step @p288 :rule nary_cong :premises (@p268 @p287) :args (@t202)) % 0.35/0.59 (step @p289 :rule cong :premises (@p288) :args (@t203)) % 0.35/0.59 (step @p290 :rule refl :args (@t72)) % 0.35/0.59 (step @p291 :rule cong :premises (@p290 @p289) :args ((=> @t72 @t203))) % 0.35/0.59 (assume-push @p385 @t72) % 0.35/0.59 (step @p293 :rule skolemize :premises (@p279)) % 0.35/0.59 (step-pop @p386 :rule scope :premises (@p293)) % 0.35/0.59 (step @p294 :rule process_scope :premises (@p386) :args (@t203)) % 0.35/0.59 (step @p296 :rule eq_resolve :premises (@p294 @p291)) % 0.35/0.59 (step @p297 :rule implies_elim :premises (@p296)) % 0.35/0.59 (step @p298 :rule eq_resolve :premises (@p297 @p282)) % 0.35/0.59 (step @p299 :rule chain_m_resolution :premises (@p298 @p279) :args (@t198 @t204 (@list @t71))) % 0.35/0.59 (step @p300 :rule bool-double-not-elim :args (@t187)) % 0.35/0.59 (step @p301 :rule refl :args (@t197)) % 0.35/0.59 (step @p302 :rule nary_cong :premises (@p301 @p300) :args ((or @t197 (not @t188)))) % 0.35/0.59 (step @p303 :rule cnf_or_neg :args (@t197 0)) % 0.35/0.59 (step @p304 :rule eq_resolve :premises (@p303 @p302)) % 0.35/0.59 (step @p305 :rule reordering :premises (@p304) :args ((or @t187 @t197))) % 0.35/0.59 (step @p306 :rule chain_m_resolution :premises (@p305 @p299) :args (@t187 @t204 @t205)) % 0.35/0.59 (step @p307 :rule cnf_or_pos :args (@t192)) % 0.35/0.59 (step @p308 :rule reordering :premises (@p307) :args ((or @t188 @t191 (not @t192)))) % 0.35/0.59 (step @p309 :rule chain_m_resolution :premises (@p308 @p306 @p278) :args (@t191 @t206 (@list @t187 @t192))) % 0.35/0.59 (step @p310 :rule refl :args (@t214)) % 0.35/0.59 (step @p311 :rule bool-double-not-elim :args (@t190)) % 0.35/0.59 (step @p312 :rule nary_cong :premises (@p311 @p310) :args ((or (not @t191) @t214))) % 0.35/0.59 (step @p313 :rule eq-symm :args (@t208 @t180)) % 0.35/0.59 (step @p314 :rule nary_cong :premises (@p260 @p313) :args (@t215)) % 0.35/0.59 (step @p315 :rule cong :premises (@p314) :args (@t216)) % 0.35/0.59 (step @p316 :rule cong :premises (@p315) :args (@t217)) % 0.35/0.59 (step @p317 :rule refl :args (@t212)) % 0.35/0.59 (step @p318 :rule nary_cong :premises (@p317 @p316) :args (@t218)) % 0.35/0.59 (step @p319 :rule cong :premises (@p318) :args (@t219)) % 0.35/0.59 (step @p320 :rule refl :args (@t191)) % 0.35/0.59 (step @p321 :rule cong :premises (@p320 @p319) :args ((=> @t191 @t219))) % 0.35/0.59 (assume-push @p387 @t191) % 0.35/0.59 (step @p323 :rule skolemize :premises (@p309)) % 0.35/0.59 (step-pop @p388 :rule scope :premises (@p323)) % 0.35/0.59 (step @p324 :rule process_scope :premises (@p388) :args (@t219)) % 0.35/0.59 (step @p326 :rule eq_resolve :premises (@p324 @p321)) % 0.35/0.59 (step @p327 :rule implies_elim :premises (@p326)) % 0.35/0.59 (step @p328 :rule eq_resolve :premises (@p327 @p312)) % 0.35/0.59 (step @p329 :rule chain_m_resolution :premises (@p328 @p309) :args (@t214 @t204 (@list @t190))) % 0.35/0.59 (step @p330 :rule bool-double-not-elim :args (@t209)) % 0.35/0.59 (step @p331 :rule refl :args (@t213)) % 0.35/0.59 (step @p332 :rule nary_cong :premises (@p331 @p330) :args ((or @t213 (not @t210)))) % 0.35/0.59 (step @p333 :rule cnf_or_neg :args (@t213 1)) % 0.35/0.59 (step @p334 :rule eq_resolve :premises (@p333 @p332)) % 0.35/0.59 (step @p335 :rule reordering :premises (@p334) :args ((or @t209 @t213))) % 0.35/0.59 (step @p336 :rule chain_m_resolution :premises (@p335 @p329) :args (@t209 @t204 @t220)) % 0.35/0.59 (step @p337 :rule eq-symm :args (@t222 @t223)) % 0.35/0.59 (step @p338 :rule nary_cong :premises (@p317 @p337) :args (@t224)) % 0.35/0.59 (step @p339 :rule refl :args (@t209)) % 0.35/0.59 (step @p340 :rule cong :premises (@p339 @p338) :args ((=> @t209 @t224))) % 0.35/0.59 (assume-push @p389 @t209) % 0.35/0.59 (step @p342 :rule instantiate :premises (@p336) :args (@t225)) % 0.35/0.59 (step-pop @p390 :rule scope :premises (@p342)) % 0.35/0.59 (step @p343 :rule process_scope :premises (@p390) :args (@t224)) % 0.35/0.59 (step @p345 :rule eq_resolve :premises (@p343 @p340)) % 0.35/0.59 (step @p346 :rule implies_elim :premises (@p345)) % 0.35/0.59 (step @p347 :rule chain_m_resolution :premises (@p346 @p336) :args (@t227 @t193 (@list @t209))) % 0.35/0.59 (step @p348 :rule bool-double-not-elim :args (@t211)) % 0.35/0.59 (step @p349 :rule nary_cong :premises (@p331 @p348) :args ((or @t213 (not @t212)))) % 0.35/0.59 (step @p350 :rule cnf_or_neg :args (@t213 0)) % 0.35/0.59 (step @p351 :rule eq_resolve :premises (@p350 @p349)) % 0.35/0.59 (step @p352 :rule reordering :premises (@p351) :args ((or @t211 @t213))) % 0.35/0.59 (step @p353 :rule chain_m_resolution :premises (@p352 @p329) :args (@t211 @t204 @t220)) % 0.35/0.59 (step @p354 :rule cnf_or_pos :args (@t227)) % 0.35/0.59 (step @p355 :rule reordering :premises (@p354) :args ((or @t212 @t226 (not @t227)))) % 0.35/0.59 (step @p356 :rule chain_m_resolution :premises (@p355 @p353 @p347) :args (@t226 @t206 (@list @t211 @t227))) % 0.35/0.59 (step @p357 :rule bool-double-not-elim :args (@t195)) % 0.35/0.59 (step @p358 :rule nary_cong :premises (@p301 @p357) :args ((or @t197 (not @t196)))) % 0.35/0.59 (step @p359 :rule cnf_or_neg :args (@t197 1)) % 0.35/0.59 (step @p360 :rule eq_resolve :premises (@p359 @p358)) % 0.35/0.59 (step @p361 :rule reordering :premises (@p360) :args ((or @t195 @t197))) % 0.35/0.59 (step @p362 :rule chain_m_resolution :premises (@p361 @p299) :args (@t195 @t204 @t205)) % 0.35/0.59 (step @p363 :rule instantiate :premises (@p362) :args (@t225)) % 0.35/0.59 (step @p364 :rule cnf_or_pos :args (@t229)) % 0.35/0.59 (step @p365 :rule reordering :premises (@p364) :args ((or @t212 @t228 (not @t229)))) % 0.35/0.59 (step @p366 :rule chain_m_resolution :premises (@p365 @p353 @p363) :args (@t228 @t206 (@list @t211 @t229))) % 0.35/0.59 (step @p367 :rule cnf_equiv_pos1 :args (@t228)) % 0.35/0.59 (step @p368 :rule reordering :premises (@p367) :args ((or @t221 @t231 @t230))) % 0.35/0.59 (step @p369 :rule cnf_equiv_pos1 :args (@t226)) % 0.35/0.59 (step @p370 :rule reordering :premises (@p369) :args ((or @t222 @t231 @t232))) % 0.35/0.59 (step @p371 :rule chain_m_resolution :premises (@p370 @p356 @p368 @p366) :args (@t231 (@list false false false) (@list @t226 @t221 @t228))) % 0.35/0.59 (step @p372 :rule cnf_equiv_pos2 :args (@t228)) % 0.35/0.59 (step @p373 :rule reordering :premises (@p372) :args ((or @t223 @t222 @t230))) % 0.35/0.59 (step @p374 :rule chain_m_resolution :premises (@p373 @p371 @p366) :args (@t222 (@list true false) (@list @t223 @t228))) % 0.35/0.59 (step @p375 :rule bool-double-not-elim :args (@t221)) % 0.35/0.59 (step @p376 :rule refl :args (@t223)) % 0.35/0.59 (step @p377 :rule refl :args (@t232)) % 0.35/0.59 (step @p378 :rule nary_cong :premises (@p377 @p376 @p375) :args ((or @t232 @t223 (not @t222)))) % 0.35/0.59 (step @p379 :rule cnf_equiv_pos2 :args (@t226)) % 0.35/0.59 (step @p380 :rule eq_resolve :premises (@p379 @p378)) % 0.35/0.59 (step @p381 :rule reordering :premises (@p380) :args ((or @t223 @t221 @t232))) % 0.35/0.59 (step @p382 false :rule chain_m_resolution :premises (@p381 @p374 @p371 @p356) :args (false (@list true true false) (@list @t221 @t223 @t226))) % 0.35/0.59 ) % 0.35/0.59 % SZS output end Proof % 0.35/0.59 % cvc5 exiting %------------------------------------------------------------------------------