%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU824^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:53:23 AM UTC 2026 % Result : Theorem 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU824^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.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 17:54:58 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.45/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.63 % SZS status Theorem % 0.45/0.63 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort $$unsorted 0) % 0.45/0.63 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.nonempty (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.transitiveset (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.ordinalTransSet Bool) % 0.45/0.63 (define tptp.stricttotalorderedByIn () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (_ tptp.in _let_1))) (let ((_let_3 (@var "A" $$unsorted))) (let ((_let_4 (_ _let_2 _let_3))) (let ((_let_5 (@list _let_1))) (let ((_let_6 (@var "Y" $$unsorted))) (let ((_let_7 (_ tptp.in _let_6))) (let ((_let_8 (_ _let_2 _let_6))) (let ((_let_9 (_ _let_7 _let_3))) (let ((_let_10 (@list _let_6))) (let ((_let_11 (@var "Xx" $$unsorted))) (let ((_let_12 (_ tptp.in _let_11))) (lambda (@list _let_3) (and (forall (@list _let_11) (=> (_ _let_12 _let_3) (forall _let_5 (=> _let_4 (forall _let_10 (=> _let_9 (=> (and (_ _let_12 _let_1) _let_8) (_ _let_12 _let_6)))))))) (forall _let_5 (=> _let_4 (forall _let_10 (=> _let_9 (or (= _let_1 _let_6) _let_8 (_ _let_7 _let_1)))))) (forall _let_5 (=> _let_4 (not (_ _let_2 _let_1))))))))))))))))))) % 0.45/0.63 (define tptp.wellorderedByIn () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.in _let_2))) (let ((_let_4 (@var "X" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5) (and (_ tptp.stricttotalorderedByIn _let_5) (forall (@list _let_4) (=> (_ (_ tptp.in _let_4) (_ tptp.powerset _let_5)) (=> (_ tptp.nonempty _let_4) (exists (@list _let_2) (and (_ _let_3 _let_4) (forall (@list _let_1) (=> (_ (_ tptp.in _let_1) _let_4) (or (= _let_2 _let_1) (_ _let_3 _let_1))))))))))))))))) % 0.45/0.63 (define tptp.ordinal () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (and (_ tptp.transitiveset _let_1) (_ tptp.wellorderedByIn _let_1))))) % 0.45/0.63 (define @t1 () (@var "X" $$unsorted)) % 0.45/0.63 (define @t2 () (@var "Xx" $$unsorted)) % 0.45/0.63 (define @t3 () (_ tptp.in @t2)) % 0.45/0.63 (define @t4 () (_ @t3 @t1)) % 0.45/0.63 (define @t5 () (@var "A" $$unsorted)) % 0.45/0.63 (define @t6 () (_ @t3 @t5)) % 0.45/0.63 (define @t7 () (=> @t6 @t4)) % 0.45/0.63 (define @t8 () (_ tptp.in @t5)) % 0.45/0.63 (define @t9 () (_ @t8 @t1)) % 0.45/0.63 (define @t10 () (@list @t2 @t5)) % 0.45/0.63 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.45/0.63 (define @t12 () (_ tptp.ordinal @t1)) % 0.45/0.63 (define @t13 () (=> @t12 @t11)) % 0.45/0.63 (define @t14 () (@list @t1)) % 0.45/0.63 (define @t15 () (forall @t14 @t13)) % 0.45/0.63 (define @t16 () (= tptp.ordinalTransSet @t15)) % 0.45/0.63 (define @t17 () (@var "B" $$unsorted)) % 0.45/0.63 (define @t18 () (_ @t3 @t17)) % 0.45/0.63 (define @t19 () (_ (_ tptp.in @t17) @t1)) % 0.45/0.63 (define @t20 () (=> @t19 @t18)) % 0.45/0.63 (define @t21 () (_ @t8 @t17)) % 0.45/0.63 (define @t22 () (=> @t21 @t20)) % 0.45/0.63 (define @t23 () (@list @t2 @t5 @t17)) % 0.45/0.63 (define @t24 () (forall @t23 (=> @t6 @t22))) % 0.45/0.63 (define @t25 () (=> @t12 @t24)) % 0.45/0.63 (define @t26 () (forall @t14 @t25)) % 0.45/0.63 (define @t27 () (=> tptp.ordinalTransSet @t26)) % 0.45/0.63 (define @t28 () (not @t27)) % 0.45/0.63 (define @t29 () (_ tptp.in @t1)) % 0.45/0.63 (define @t30 () (_ @t29 @t1)) % 0.45/0.63 (define @t31 () (not @t30)) % 0.45/0.63 (define @t32 () (_ @t29 @t5)) % 0.45/0.63 (define @t33 () (forall @t14 (=> @t32 @t31))) % 0.45/0.63 (define @t34 () (@var "Y" $$unsorted)) % 0.45/0.63 (define @t35 () (_ tptp.in @t34)) % 0.45/0.63 (define @t36 () (_ @t35 @t1)) % 0.45/0.63 (define @t37 () (_ @t29 @t34)) % 0.45/0.63 (define @t38 () (= @t1 @t34)) % 0.45/0.63 (define @t39 () (or @t38 @t37 @t36)) % 0.45/0.63 (define @t40 () (_ @t35 @t5)) % 0.45/0.63 (define @t41 () (@list @t34)) % 0.45/0.63 (define @t42 () (forall @t41 (=> @t40 @t39))) % 0.45/0.63 (define @t43 () (=> @t32 @t42)) % 0.45/0.63 (define @t44 () (forall @t14 @t43)) % 0.45/0.63 (define @t45 () (_ @t3 @t34)) % 0.45/0.63 (define @t46 () (and @t4 @t37)) % 0.45/0.63 (define @t47 () (=> @t46 @t45)) % 0.45/0.63 (define @t48 () (forall @t41 (=> @t40 @t47))) % 0.45/0.63 (define @t49 () (=> @t32 @t48)) % 0.45/0.63 (define @t50 () (forall @t14 @t49)) % 0.45/0.63 (define @t51 () (=> @t6 @t50)) % 0.45/0.63 (define @t52 () (@list @t2)) % 0.45/0.63 (define @t53 () (forall @t52 @t51)) % 0.45/0.63 (define @t54 () (and @t53 @t44 @t33)) % 0.45/0.63 (define @t55 () (@list @t5)) % 0.45/0.63 (define @t56 () (lambda @t55 @t54)) % 0.45/0.63 (define @t57 () (= @t2 @t34)) % 0.45/0.63 (define @t58 () (or @t57 @t45)) % 0.45/0.63 (define @t59 () (forall @t41 (=> @t36 @t58))) % 0.45/0.63 (define @t60 () (and @t4 @t59)) % 0.45/0.63 (define @t61 () (exists @t52 @t60)) % 0.45/0.63 (define @t62 () (_ tptp.nonempty @t1)) % 0.45/0.63 (define @t63 () (=> @t62 @t61)) % 0.45/0.63 (define @t64 () (_ tptp.powerset @t5)) % 0.45/0.63 (define @t65 () (_ @t29 @t64)) % 0.45/0.63 (define @t66 () (=> @t65 @t63)) % 0.45/0.63 (define @t67 () (forall @t14 @t66)) % 0.45/0.63 (define @t68 () (and (_ tptp.stricttotalorderedByIn @t5) @t67)) % 0.45/0.63 (define @t69 () (lambda @t55 @t68)) % 0.45/0.63 (define @t70 () (_ tptp.transitiveset @t2)) % 0.45/0.63 (define @t71 () (and @t70 (_ tptp.wellorderedByIn @t2))) % 0.45/0.63 (define @t72 () (lambda @t52 @t71)) % 0.45/0.63 (define @t73 () (@var "BOUND_VARIABLE_7885" $$unsorted)) % 0.45/0.63 (define @t74 () (@var "BOUND_VARIABLE_7881" $$unsorted)) % 0.45/0.63 (define @t75 () (tptp.in @t74 @t73)) % 0.45/0.63 (define @t76 () (not (tptp.in @t73 @t1))) % 0.45/0.63 (define @t77 () (@var "BOUND_VARIABLE_7883" $$unsorted)) % 0.45/0.63 (define @t78 () (not (tptp.in @t77 @t73))) % 0.45/0.63 (define @t79 () (not (tptp.in @t74 @t77))) % 0.45/0.63 (define @t80 () (@var "BOUND_VARIABLE_7746" $$unsorted)) % 0.45/0.63 (define @t81 () (not (tptp.in @t80 @t80))) % 0.45/0.63 (define @t82 () (@list @t80)) % 0.45/0.63 (define @t83 () (forall @t82 (or (not (tptp.in @t80 @t1)) @t81))) % 0.45/0.63 (define @t84 () (not @t83)) % 0.45/0.63 (define @t85 () (@var "BOUND_VARIABLE_7755" $$unsorted)) % 0.45/0.63 (define @t86 () (@var "BOUND_VARIABLE_7534" $$unsorted)) % 0.45/0.63 (define @t87 () (tptp.in @t86 @t85)) % 0.45/0.63 (define @t88 () (tptp.in @t85 @t86)) % 0.45/0.63 (define @t89 () (= @t86 @t85)) % 0.45/0.63 (define @t90 () (tptp.in @t86 @t1)) % 0.45/0.63 (define @t91 () (@list @t85 @t86)) % 0.45/0.63 (define @t92 () (forall @t91 (or (not (tptp.in @t85 @t1)) (not @t90) @t89 @t88 @t87))) % 0.45/0.63 (define @t93 () (not @t92)) % 0.45/0.63 (define @t94 () (@var "BOUND_VARIABLE_7506" $$unsorted)) % 0.45/0.63 (define @t95 () (@var "BOUND_VARIABLE_7633" $$unsorted)) % 0.45/0.63 (define @t96 () (tptp.in @t95 @t94)) % 0.45/0.63 (define @t97 () (@var "BOUND_VARIABLE_7504" $$unsorted)) % 0.45/0.63 (define @t98 () (not (tptp.in @t97 @t94))) % 0.45/0.63 (define @t99 () (not (tptp.in @t95 @t97))) % 0.45/0.63 (define @t100 () (@list @t95 @t97 @t94)) % 0.45/0.63 (define @t101 () (forall @t100 (or (not (tptp.in @t95 @t1)) (not (tptp.in @t97 @t1)) @t99 (not (tptp.in @t94 @t1)) @t98 @t96))) % 0.45/0.63 (define @t102 () (not @t101)) % 0.45/0.63 (define @t103 () (@var "BOUND_VARIABLE_7643" $$unsorted)) % 0.45/0.63 (define @t104 () (tptp.in @t103 @t34)) % 0.45/0.63 (define @t105 () (= @t34 @t103)) % 0.45/0.63 (define @t106 () (@var "BOUND_VARIABLE_7765" $$unsorted)) % 0.45/0.63 (define @t107 () (@list @t103)) % 0.45/0.63 (define @t108 () (not (forall @t107 (or (not (tptp.in @t103 @t106)) (not (forall @t41 (or (not (tptp.in @t34 @t106)) @t105 @t104))))))) % 0.45/0.63 (define @t109 () (not (tptp.nonempty @t106))) % 0.45/0.63 (define @t110 () (@list @t106)) % 0.45/0.63 (define @t111 () (forall @t110 (or (not (tptp.in @t106 (tptp.powerset @t1))) @t109 @t108))) % 0.45/0.63 (define @t112 () (not @t111)) % 0.45/0.63 (define @t113 () (tptp.transitiveset @t1)) % 0.45/0.63 (define @t114 () (not @t113)) % 0.45/0.63 (define @t115 () (or @t114 @t112 @t102 @t93 @t84 @t79 @t78 @t76 @t75)) % 0.45/0.63 (define @t116 () (@list @t1 @t74 @t77 @t73)) % 0.45/0.63 (define @t117 () (forall @t116 @t115)) % 0.45/0.63 (define @t118 () (@var "BOUND_VARIABLE_7841" $$unsorted)) % 0.45/0.63 (define @t119 () (tptp.in @t118 @t1)) % 0.45/0.63 (define @t120 () (@var "BOUND_VARIABLE_7843" $$unsorted)) % 0.45/0.63 (define @t121 () (not (tptp.in @t118 @t120))) % 0.45/0.63 (define @t122 () (not (tptp.in @t120 @t1))) % 0.45/0.63 (define @t123 () (or @t122 @t121 @t119)) % 0.45/0.63 (define @t124 () (or @t114 @t112 @t102 @t93 @t84 @t123)) % 0.45/0.63 (define @t125 () (forall (@list @t1 @t118 @t120) @t124)) % 0.45/0.63 (define @t126 () (@list @t118 @t120)) % 0.45/0.63 (define @t127 () (forall @t126 @t124)) % 0.45/0.63 (define @t128 () (forall @t126 @t123)) % 0.45/0.63 (define @t129 () (or @t114 @t112 @t102 @t93 @t84 @t128)) % 0.45/0.63 (define @t130 () (tptp.in @t2 @t1)) % 0.45/0.63 (define @t131 () (tptp.in @t2 @t5)) % 0.45/0.63 (define @t132 () (not @t131)) % 0.45/0.63 (define @t133 () (tptp.in @t5 @t1)) % 0.45/0.63 (define @t134 () (forall @t10 (or (not @t133) @t132 @t130))) % 0.45/0.63 (define @t135 () (_ tptp.transitiveset @t1)) % 0.45/0.63 (define @t136 () (not @t135)) % 0.45/0.63 (define @t137 () (or @t136 @t112 @t102 @t93 @t84 @t134)) % 0.45/0.63 (define @t138 () (or @t136 @t112 @t102 @t93 @t84)) % 0.45/0.63 (define @t139 () (and @t135 @t111 @t101 @t92 @t83)) % 0.45/0.63 (define @t140 () (not @t139)) % 0.45/0.63 (define @t141 () (not @t6)) % 0.45/0.63 (define @t142 () (not @t9)) % 0.45/0.63 (define @t143 () (or @t142 @t141 @t4)) % 0.45/0.63 (define @t144 () (forall @t82 (or (not (tptp.in @t80 @t2)) @t81))) % 0.45/0.63 (define @t145 () (not (tptp.in @t86 @t2))) % 0.45/0.63 (define @t146 () (not (tptp.in @t85 @t2))) % 0.45/0.63 (define @t147 () (forall @t100 (or (not (tptp.in @t95 @t2)) (not (tptp.in @t97 @t2)) @t99 (not (tptp.in @t94 @t2)) @t98 @t96))) % 0.45/0.63 (define @t148 () (tptp.powerset @t2)) % 0.45/0.63 (define @t149 () (forall @t110 (or (not (tptp.in @t106 @t148)) @t109 @t108))) % 0.45/0.63 (define @t150 () (or @t146 @t145 (= @t85 @t86) @t88 @t87)) % 0.45/0.63 (define @t151 () (forall @t91 @t150)) % 0.45/0.63 (define @t152 () (and @t70 @t149 @t147 @t151 @t144)) % 0.45/0.63 (define @t153 () (tptp.in @t1 @t1)) % 0.45/0.63 (define @t154 () (not @t153)) % 0.45/0.63 (define @t155 () (not (tptp.in @t1 @t2))) % 0.45/0.63 (define @t156 () (forall @t14 (or @t155 @t154))) % 0.45/0.63 (define @t157 () (@list @t1)) % 0.45/0.63 (define @t158 () (tptp.in @t1 @t86)) % 0.45/0.63 (define @t159 () (= @t1 @t86)) % 0.45/0.63 (define @t160 () (@list @t1 @t86)) % 0.45/0.63 (define @t161 () (forall @t160 (or @t155 @t145 @t159 @t158 @t90))) % 0.45/0.63 (define @t162 () (tptp.in @t34 @t1)) % 0.45/0.63 (define @t163 () (not @t162)) % 0.45/0.63 (define @t164 () (not (tptp.in @t103 @t1))) % 0.45/0.63 (define @t165 () (not (forall @t107 (or @t164 (not (forall @t41 (or @t163 @t105 @t104))))))) % 0.45/0.63 (define @t166 () (tptp.nonempty @t1)) % 0.45/0.63 (define @t167 () (not @t166)) % 0.45/0.63 (define @t168 () (forall @t14 (or (not (tptp.in @t1 @t148)) @t167 @t165))) % 0.45/0.63 (define @t169 () (and @t70 @t168 @t147 @t161 @t156)) % 0.45/0.63 (define @t170 () (lambda @t52 @t169)) % 0.45/0.63 (define @t171 () (_ @t170 @t1)) % 0.45/0.63 (define @t172 () (=> @t171 @t11)) % 0.45/0.63 (define @t173 () (forall @t14 @t172)) % 0.45/0.63 (define @t174 () (and @t168 @t147 @t161 @t156)) % 0.45/0.63 (define @t175 () (tptp.in @t1 @t5)) % 0.45/0.63 (define @t176 () (not @t175)) % 0.45/0.63 (define @t177 () (forall @t14 (or @t176 @t154))) % 0.45/0.63 (define @t178 () (not (tptp.in @t86 @t5))) % 0.45/0.63 (define @t179 () (or @t176 @t178 @t159 @t158 @t90)) % 0.45/0.63 (define @t180 () (forall @t160 @t179)) % 0.45/0.63 (define @t181 () (not (tptp.in @t94 @t5))) % 0.45/0.63 (define @t182 () (not (tptp.in @t97 @t5))) % 0.45/0.63 (define @t183 () (forall @t100 (or (not (tptp.in @t95 @t5)) @t182 @t99 @t181 @t98 @t96))) % 0.45/0.63 (define @t184 () (tptp.powerset @t5)) % 0.45/0.63 (define @t185 () (tptp.in @t1 @t184)) % 0.45/0.63 (define @t186 () (not @t185)) % 0.45/0.63 (define @t187 () (or @t163 (= @t103 @t34) @t104)) % 0.45/0.63 (define @t188 () (forall @t41 @t187)) % 0.45/0.63 (define @t189 () (not @t188)) % 0.45/0.63 (define @t190 () (or @t164 @t189)) % 0.45/0.63 (define @t191 () (forall @t107 @t190)) % 0.45/0.63 (define @t192 () (not @t191)) % 0.45/0.63 (define @t193 () (or @t186 @t167 @t192)) % 0.45/0.63 (define @t194 () (forall @t14 @t193)) % 0.45/0.63 (define @t195 () (and @t194 @t183 @t180 @t177)) % 0.45/0.63 (define @t196 () (tptp.in @t2 @t94)) % 0.45/0.63 (define @t197 () (not (tptp.in @t2 @t97))) % 0.45/0.63 (define @t198 () (or @t132 @t182 @t197 @t181 @t98 @t196)) % 0.45/0.63 (define @t199 () (@list @t2 @t97 @t94)) % 0.45/0.63 (define @t200 () (forall @t199 @t198)) % 0.45/0.63 (define @t201 () (@list @t2)) % 0.45/0.63 (define @t202 () (tptp.in @t2 @t34)) % 0.45/0.63 (define @t203 () (forall @t41 (or @t163 @t57 @t202))) % 0.45/0.63 (define @t204 () (not @t203)) % 0.45/0.63 (define @t205 () (not @t130)) % 0.45/0.63 (define @t206 () (forall @t52 (or @t205 @t204))) % 0.45/0.63 (define @t207 () (not @t206)) % 0.45/0.63 (define @t208 () (or @t186 @t167 @t207)) % 0.45/0.63 (define @t209 () (forall @t14 @t208)) % 0.45/0.63 (define @t210 () (and @t209 @t200 @t180 @t177)) % 0.45/0.63 (define @t211 () (lambda @t55 @t210)) % 0.45/0.63 (define @t212 () (and @t200 @t180 @t177)) % 0.45/0.63 (define @t213 () (not @t62)) % 0.45/0.63 (define @t214 () (not @t65)) % 0.45/0.63 (define @t215 () (or @t214 @t213 @t207)) % 0.45/0.63 (define @t216 () (=> @t62 @t207)) % 0.45/0.63 (define @t217 () (not @t4)) % 0.45/0.63 (define @t218 () (or @t217 @t204)) % 0.45/0.63 (define @t219 () (and @t4 @t203)) % 0.45/0.63 (define @t220 () (forall @t52 (not @t219))) % 0.45/0.63 (define @t221 () (not @t220)) % 0.45/0.63 (define @t222 () (not @t36)) % 0.45/0.63 (define @t223 () (or @t222 @t57 @t45)) % 0.45/0.63 (define @t224 () (_ (lambda @t55 @t212) @t5)) % 0.45/0.63 (define @t225 () (not @t32)) % 0.45/0.63 (define @t226 () (or @t225 @t31)) % 0.45/0.63 (define @t227 () (or @t178 @t159 @t158 @t90)) % 0.45/0.63 (define @t228 () (or @t176 @t227)) % 0.45/0.63 (define @t229 () (forall @t160 @t228)) % 0.45/0.63 (define @t230 () (@list @t86)) % 0.45/0.63 (define @t231 () (forall @t230 @t228)) % 0.45/0.63 (define @t232 () (forall @t230 @t227)) % 0.45/0.63 (define @t233 () (@list @t34)) % 0.45/0.63 (define @t234 () (or @t176 @t232)) % 0.45/0.63 (define @t235 () (tptp.in @t1 @t34)) % 0.45/0.63 (define @t236 () (tptp.in @t34 @t5)) % 0.45/0.63 (define @t237 () (not @t236)) % 0.45/0.63 (define @t238 () (forall @t41 (or @t237 @t38 @t235 @t162))) % 0.45/0.63 (define @t239 () (or @t225 @t238)) % 0.45/0.63 (define @t240 () (not @t40)) % 0.45/0.63 (define @t241 () (or @t240 @t38 @t37 @t36)) % 0.45/0.63 (define @t242 () (or @t182 @t197 @t181 @t98 @t196)) % 0.45/0.63 (define @t243 () (or @t132 @t242)) % 0.45/0.63 (define @t244 () (forall @t199 @t243)) % 0.45/0.63 (define @t245 () (@list @t97 @t94)) % 0.45/0.63 (define @t246 () (forall @t245 @t243)) % 0.45/0.63 (define @t247 () (forall @t245 @t242)) % 0.45/0.63 (define @t248 () (@var "BOUND_VARIABLE_7482" $$unsorted)) % 0.45/0.63 (define @t249 () (or @t132 @t247)) % 0.45/0.63 (define @t250 () (tptp.in @t2 @t248)) % 0.45/0.63 (define @t251 () (not (tptp.in @t1 @t248))) % 0.45/0.63 (define @t252 () (not (tptp.in @t248 @t5))) % 0.45/0.63 (define @t253 () (or @t176 @t205 @t252 @t251 @t250)) % 0.45/0.63 (define @t254 () (@list @t1 @t248)) % 0.45/0.63 (define @t255 () (forall @t254 @t253)) % 0.45/0.63 (define @t256 () (or @t141 @t255)) % 0.45/0.63 (define @t257 () (or @t252 @t251 @t250)) % 0.45/0.63 (define @t258 () (or @t176 @t205 @t257)) % 0.45/0.63 (define @t259 () (forall @t254 @t258)) % 0.45/0.63 (define @t260 () (@list @t248)) % 0.45/0.63 (define @t261 () (forall @t260 @t258)) % 0.45/0.63 (define @t262 () (forall @t260 @t257)) % 0.45/0.63 (define @t263 () (or @t176 @t205 @t262)) % 0.45/0.63 (define @t264 () (forall @t41 (or @t237 (not @t235) @t202))) % 0.45/0.63 (define @t265 () (or @t225 @t217 @t264)) % 0.45/0.63 (define @t266 () (or @t217 @t264)) % 0.45/0.63 (define @t267 () (not @t37)) % 0.45/0.63 (define @t268 () (or @t240 @t267 @t45)) % 0.45/0.63 (define @t269 () (forall @t41 @t268)) % 0.45/0.63 (define @t270 () (or @t217 @t269)) % 0.45/0.63 (define @t271 () (or @t217 @t268)) % 0.45/0.63 (define @t272 () (or @t240 @t217 @t267 @t45)) % 0.45/0.63 (define @t273 () (or @t217 @t267 @t45)) % 0.45/0.63 (define @t274 () (=> tptp.ordinalTransSet @t117)) % 0.45/0.63 (define @t275 () (or @t79 @t78 @t76 @t75)) % 0.45/0.63 (define @t276 () (or @t114 @t112 @t102 @t93 @t84 @t275)) % 0.45/0.63 (define @t277 () (forall @t116 @t276)) % 0.45/0.63 (define @t278 () (@list @t74 @t77 @t73)) % 0.45/0.63 (define @t279 () (forall @t278 @t276)) % 0.45/0.63 (define @t280 () (forall @t278 @t275)) % 0.45/0.63 (define @t281 () (or @t114 @t112 @t102 @t93 @t84 @t280)) % 0.45/0.63 (define @t282 () (tptp.in @t2 @t17)) % 0.45/0.63 (define @t283 () (tptp.in @t17 @t1)) % 0.45/0.63 (define @t284 () (tptp.in @t5 @t17)) % 0.45/0.63 (define @t285 () (forall @t23 (or @t132 (not @t284) (not @t283) @t282))) % 0.45/0.63 (define @t286 () (or @t136 @t112 @t102 @t93 @t84 @t285)) % 0.45/0.63 (define @t287 () (not @t19)) % 0.45/0.63 (define @t288 () (not @t21)) % 0.45/0.63 (define @t289 () (or @t141 @t288 @t287 @t18)) % 0.45/0.63 (define @t290 () (or @t288 @t287 @t18)) % 0.45/0.63 (define @t291 () (=> @t171 @t24)) % 0.45/0.63 (define @t292 () (forall @t14 @t291)) % 0.45/0.63 (define @t293 () (=> tptp.ordinalTransSet @t292)) % 0.45/0.63 (define @t294 () (@quantifiers_skolemize @t117 0)) % 0.45/0.63 (define @t295 () (forall @t100 (or (not (tptp.in @t95 @t294)) (not (tptp.in @t97 @t294)) @t99 (not (tptp.in @t94 @t294)) @t98 @t96))) % 0.45/0.63 (define @t296 () (@quantifiers_skolemize @t117 3)) % 0.45/0.63 (define @t297 () (@quantifiers_skolemize @t117 1)) % 0.45/0.63 (define @t298 () (tptp.in @t297 @t296)) % 0.45/0.63 (define @t299 () (tptp.in @t296 @t294)) % 0.45/0.63 (define @t300 () (not @t299)) % 0.45/0.63 (define @t301 () (@quantifiers_skolemize @t117 2)) % 0.45/0.63 (define @t302 () (tptp.in @t301 @t296)) % 0.45/0.63 (define @t303 () (not @t302)) % 0.45/0.63 (define @t304 () (tptp.in @t297 @t301)) % 0.45/0.63 (define @t305 () (not @t304)) % 0.45/0.63 (define @t306 () (forall @t82 (or (not (tptp.in @t80 @t294)) @t81))) % 0.45/0.63 (define @t307 () (not @t306)) % 0.45/0.63 (define @t308 () (forall @t91 (or (not (tptp.in @t85 @t294)) (not (tptp.in @t86 @t294)) @t89 @t88 @t87))) % 0.45/0.63 (define @t309 () (not @t308)) % 0.45/0.63 (define @t310 () (not @t295)) % 0.45/0.63 (define @t311 () (forall @t110 (or (not (tptp.in @t106 (tptp.powerset @t294))) @t109 @t108))) % 0.45/0.63 (define @t312 () (not @t311)) % 0.45/0.63 (define @t313 () (tptp.transitiveset @t294)) % 0.45/0.63 (define @t314 () (not @t313)) % 0.45/0.63 (define @t315 () (or @t314 @t312 @t310 @t309 @t307 @t305 @t303 @t300 @t298)) % 0.45/0.63 (define @t316 () (@list true)) % 0.45/0.63 (define @t317 () (@list @t315)) % 0.45/0.63 (define @t318 () (tptp.in @t301 @t294)) % 0.45/0.63 (define @t319 () (or @t314 @t312 @t310 @t309 @t307 @t300 @t303 @t318)) % 0.45/0.63 (define @t320 () (@list false false false false false false false false)) % 0.45/0.63 (define @t321 () (tptp.in @t297 @t294)) % 0.45/0.63 (define @t322 () (not @t318)) % 0.45/0.63 (define @t323 () (or @t314 @t312 @t310 @t309 @t307 @t322 @t305 @t321)) % 0.45/0.63 (define @t324 () (not @t321)) % 0.45/0.63 (define @t325 () (or @t324 @t322 @t305 @t300 @t303 @t298)) % 0.45/0.63 (define @t326 () (not @t325)) % 0.45/0.63 (assume @p1 @t16) % 0.45/0.63 (assume @p2 @t28) % 0.45/0.63 (assume @p3 true) % 0.45/0.63 (step @p4 (= tptp.stricttotalorderedByIn @t56) :rule refl :args (@t56)) % 0.45/0.63 (step @p5 (= tptp.wellorderedByIn @t69) :rule refl :args (@t69)) % 0.45/0.63 (step @p6 (= tptp.ordinal @t72) :rule refl :args (@t72)) % 0.45/0.63 (step @p7 :rule refl :args (@t117)) % 0.45/0.63 (step @p8 :rule aci_norm :args ((= @t124 (or @t114 @t112 @t102 @t93 @t84 @t122 @t121 @t119)))) % 0.45/0.63 (step @p9 :rule cong :premises (@p8) :args (@t125)) % 0.45/0.63 (step @p10 :rule quant-merge-prenex :args ((= (forall @t14 @t127) @t125))) % 0.45/0.63 (step @p11 :rule alpha_equiv :args (@t128 (@list @t118 @t120) (@list @t2 @t5))) % 0.45/0.63 (step @p12 :rule refl :args (@t84)) % 0.45/0.63 (step @p13 :rule refl :args (@t93)) % 0.45/0.63 (step @p14 :rule refl :args (@t102)) % 0.45/0.63 (step @p15 :rule refl :args (@t112)) % 0.45/0.63 (step @p16 :rule refl :args (@t114)) % 0.45/0.63 (step @p17 :rule nary_cong :premises (@p16 @p15 @p14 @p13 @p12 @p11) :args (@t129)) % 0.45/0.63 (step @p18 :rule quant-miniscope-or :args ((= @t127 @t129))) % 0.45/0.63 (step @p19 :rule trans :premises (@p18 @p17)) % 0.45/0.63 (step @p20 :rule symm :premises (@p19)) % 0.45/0.63 (step @p21 :rule cong :premises (@p20) :args ((forall @t14 (or @t114 @t112 @t102 @t93 @t84 @t134)))) % 0.45/0.63 (step @p22 :rule trans :premises (@p21 @p10)) % 0.45/0.63 (step @p23 :rule trans :premises (@p22 @p9)) % 0.45/0.63 (step @p24 :rule refl :args (@t134)) % 0.45/0.63 (step @p25 :rule refl :args (@t113)) % 0.45/0.63 (step @p26 :rule refl :args (@t135)) % 0.45/0.63 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t135 @t113))) % 0.45/0.63 (step @p28 :rule symm :premises (@p27)) % 0.45/0.63 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.45/0.63 (step @p30 :rule cong :premises (@p29) :args (@t136)) % 0.45/0.63 (step @p31 :rule nary_cong :premises (@p30 @p15 @p14 @p13 @p12 @p24) :args (@t137)) % 0.45/0.63 (step @p32 :rule cong :premises (@p31) :args ((forall @t14 @t137))) % 0.45/0.63 (step @p33 :rule trans :premises (@p32 @p23)) % 0.45/0.63 (step @p34 :rule aci_norm :args ((= (or @t138 @t134) @t137))) % 0.45/0.63 (step @p35 :rule aci_norm :args ((= (or @t136 (or @t112 (or @t102 (or @t93 @t84)))) @t138))) % 0.45/0.63 (step @p36 :rule bool-and-de-morgan :args (@t92 @t83 true)) % 0.45/0.63 (step @p37 :rule nary_cong :premises (@p14 @p36) :args ((or @t102 (not (and @t92 @t83))))) % 0.45/0.63 (step @p38 :rule bool-and-de-morgan :args (@t101 @t92 (and @t83))) % 0.45/0.63 (step @p39 :rule trans :premises (@p38 @p37)) % 0.45/0.63 (step @p40 :rule nary_cong :premises (@p15 @p39) :args ((or @t112 (not (and @t101 @t92 @t83))))) % 0.45/0.63 (step @p41 :rule bool-and-de-morgan :args (@t111 @t101 (and @t92 @t83))) % 0.45/0.63 (step @p42 :rule trans :premises (@p41 @p40)) % 0.45/0.63 (step @p43 :rule refl :args (@t136)) % 0.45/0.63 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t136 (not (and @t111 @t101 @t92 @t83))))) % 0.45/0.63 (step @p45 :rule bool-and-de-morgan :args (@t135 @t111 (and @t101 @t92 @t83))) % 0.45/0.63 (step @p46 :rule trans :premises (@p45 @p44)) % 0.45/0.63 (step @p47 :rule trans :premises (@p46 @p35)) % 0.45/0.63 (step @p48 :rule nary_cong :premises (@p47 @p24) :args ((or @t140 @t134))) % 0.45/0.63 (step @p49 :rule trans :premises (@p48 @p34)) % 0.45/0.63 (step @p50 :rule bool-impl-elim :args (@t139 @t134)) % 0.45/0.63 (step @p51 :rule trans :premises (@p50 @p49)) % 0.45/0.63 (step @p52 :rule cong :premises (@p51) :args ((forall @t14 (=> @t139 @t134)))) % 0.45/0.63 (step @p53 :rule trans :premises (@p52 @p33)) % 0.45/0.63 (step @p54 :rule refl :args (@t130)) % 0.45/0.63 (step @p55 :rule refl :args (@t4)) % 0.45/0.63 (step @p56 :rule cong :premises (@p55 @p54) :args ((= @t4 @t130))) % 0.45/0.63 (step @p57 :rule symm :premises (@p56)) % 0.45/0.63 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.45/0.63 (step @p59 :rule refl :args (@t131)) % 0.45/0.63 (step @p60 :rule refl :args (@t6)) % 0.45/0.63 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t6 @t131))) % 0.45/0.63 (step @p62 :rule symm :premises (@p61)) % 0.45/0.63 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 0.45/0.63 (step @p64 :rule cong :premises (@p63) :args (@t141)) % 0.45/0.63 (step @p65 :rule refl :args (@t133)) % 0.45/0.63 (step @p66 :rule refl :args (@t9)) % 0.45/0.63 (step @p67 :rule cong :premises (@p66 @p65) :args ((= @t9 @t133))) % 0.45/0.63 (step @p68 :rule symm :premises (@p67)) % 0.45/0.63 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 0.45/0.63 (step @p70 :rule cong :premises (@p69) :args (@t142)) % 0.45/0.63 (step @p71 :rule nary_cong :premises (@p70 @p64 @p58) :args (@t143)) % 0.45/0.63 (step @p72 :rule cong :premises (@p71) :args ((forall @t10 @t143))) % 0.45/0.63 (step @p73 :rule aci_norm :args ((= (or @t142 (or @t141 @t4)) @t143))) % 0.45/0.63 (step @p74 :rule bool-impl-elim :args (@t6 @t4)) % 0.45/0.63 (step @p75 :rule refl :args (@t142)) % 0.45/0.63 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or @t142 @t7))) % 0.45/0.63 (step @p77 :rule trans :premises (@p76 @p73)) % 0.45/0.63 (step @p78 :rule bool-impl-elim :args (@t9 @t7)) % 0.45/0.63 (step @p79 :rule trans :premises (@p78 @p77)) % 0.45/0.63 (step @p80 :rule cong :premises (@p79) :args (@t11)) % 0.45/0.63 (step @p81 :rule trans :premises (@p80 @p72)) % 0.45/0.63 (step @p82 :rule beta-reduce :args ((= (_ (lambda @t52 (and @t70 @t149 @t147 (forall @t91 (or @t146 @t145 @t89 @t88 @t87)) @t144)) @t1) @t139))) % 0.45/0.63 (step @p83 :rule refl :args (@t1)) % 0.45/0.63 (step @p84 :rule refl :args (@t144)) % 0.45/0.63 (step @p85 :rule refl :args (@t87)) % 0.45/0.63 (step @p86 :rule refl :args (@t88)) % 0.45/0.63 (step @p87 :rule eq-symm :args (@t85 @t86)) % 0.45/0.63 (step @p88 :rule refl :args (@t145)) % 0.45/0.63 (step @p89 :rule refl :args (@t146)) % 0.45/0.63 (step @p90 :rule nary_cong :premises (@p89 @p88 @p87 @p86 @p85) :args (@t150)) % 0.45/0.63 (step @p91 :rule cong :premises (@p90) :args (@t151)) % 0.45/0.63 (step @p92 :rule refl :args (@t147)) % 0.45/0.63 (step @p93 :rule refl :args (@t149)) % 0.45/0.63 (step @p94 :rule refl :args (@t70)) % 0.45/0.63 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92 @p91 @p84) :args (@t152)) % 0.45/0.63 (step @p96 :rule cong :premises (@p95) :args ((lambda @t52 @t152))) % 0.45/0.63 (step @p97 :rule ho_cong :premises (@p96 @p83)) % 0.45/0.63 (step @p98 :rule trans :premises (@p97 @p82)) % 0.45/0.63 (step @p99 :rule refl :args (@t1)) % 0.45/0.63 (step @p100 :rule alpha_equiv :args (@t156 @t157 (@list @t80))) % 0.45/0.63 (step @p101 :rule alpha_equiv :args (@t161 @t157 (@list @t85))) % 0.45/0.63 (step @p102 :rule refl :args (@t147)) % 0.45/0.63 (step @p103 :rule alpha_equiv :args (@t168 @t157 (@list @t106))) % 0.45/0.63 (step @p104 :rule refl :args (@t70)) % 0.45/0.63 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102 @p101 @p100) :args (@t169)) % 0.45/0.63 (step @p106 :rule cong :premises (@p105) :args (@t170)) % 0.45/0.63 (step @p107 :rule ho_cong :premises (@p106 @p99)) % 0.45/0.63 (step @p108 :rule trans :premises (@p107 @p98)) % 0.45/0.63 (step @p109 :rule cong :premises (@p108 @p81) :args (@t172)) % 0.45/0.63 (step @p110 :rule cong :premises (@p109) :args (@t173)) % 0.45/0.63 (step @p111 :rule trans :premises (@p110 @p53)) % 0.45/0.63 (step @p112 :rule refl :args (tptp.ordinalTransSet)) % 0.45/0.63 (step @p113 :rule cong :premises (@p112 @p111) :args ((= tptp.ordinalTransSet @t173))) % 0.45/0.63 (step @p114 :rule refl :args (@t11)) % 0.45/0.63 (step @p115 :rule aci_norm :args ((= (and @t70 @t174) @t169))) % 0.45/0.63 (step @p116 :rule beta-reduce :args ((= (_ (lambda @t55 (and (forall @t14 (or @t186 @t167 @t165)) @t183 @t180 @t177)) @t2) @t174))) % 0.45/0.63 (step @p117 :rule refl :args (@t2)) % 0.45/0.63 (step @p118 :rule refl :args (@t177)) % 0.45/0.63 (step @p119 :rule refl :args (@t180)) % 0.45/0.63 (step @p120 :rule refl :args (@t183)) % 0.45/0.63 (step @p121 :rule refl :args (@t104)) % 0.45/0.63 (step @p122 :rule eq-symm :args (@t103 @t34)) % 0.45/0.63 (step @p123 :rule refl :args (@t163)) % 0.45/0.63 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121) :args (@t187)) % 0.45/0.63 (step @p125 :rule cong :premises (@p124) :args (@t188)) % 0.45/0.63 (step @p126 :rule cong :premises (@p125) :args (@t189)) % 0.45/0.63 (step @p127 :rule refl :args (@t164)) % 0.45/0.63 (step @p128 :rule nary_cong :premises (@p127 @p126) :args 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@p388)) % 0.45/0.63 (step @p396 :rule trans :premises (@p395 @p387)) % 0.45/0.63 (step @p397 :rule refl :args (@t285)) % 0.45/0.63 (step @p398 :rule nary_cong :premises (@p30 @p15 @p14 @p13 @p12 @p397) :args (@t286)) % 0.45/0.63 (step @p399 :rule cong :premises (@p398) :args ((forall @t14 @t286))) % 0.45/0.63 (step @p400 :rule trans :premises (@p399 @p396)) % 0.45/0.63 (step @p401 :rule aci_norm :args ((= (or @t138 @t285) @t286))) % 0.45/0.63 (step @p402 :rule nary_cong :premises (@p47 @p397) :args ((or @t140 @t285))) % 0.45/0.63 (step @p403 :rule trans :premises (@p402 @p401)) % 0.45/0.63 (step @p404 :rule bool-impl-elim :args (@t139 @t285)) % 0.45/0.63 (step @p405 :rule trans :premises (@p404 @p403)) % 0.45/0.63 (step @p406 :rule cong :premises (@p405) :args ((forall @t14 (=> @t139 @t285)))) % 0.45/0.63 (step @p407 :rule trans :premises (@p406 @p400)) % 0.45/0.63 (step @p408 :rule refl :args (@t282)) % 0.45/0.63 (step @p409 :rule refl :args (@t18)) % 0.45/0.63 (step @p410 :rule cong :premises (@p409 @p408) :args ((= @t18 @t282))) % 0.45/0.63 (step @p411 :rule symm :premises (@p410)) % 0.45/0.63 (step @p412 :rule eq_resolve :premises (@p409 @p411)) % 0.45/0.63 (step @p413 :rule refl :args (@t283)) % 0.45/0.63 (step @p414 :rule refl :args (@t19)) % 0.45/0.63 (step @p415 :rule cong :premises (@p414 @p413) :args ((= @t19 @t283))) % 0.45/0.63 (step @p416 :rule symm :premises (@p415)) % 0.45/0.63 (step @p417 :rule eq_resolve :premises (@p414 @p416)) % 0.45/0.63 (step @p418 :rule cong :premises (@p417) :args (@t287)) % 0.45/0.63 (step @p419 :rule refl :args (@t284)) % 0.45/0.63 (step @p420 :rule refl :args (@t21)) % 0.45/0.63 (step @p421 :rule cong :premises (@p420 @p419) :args ((= @t21 @t284))) % 0.45/0.63 (step @p422 :rule symm :premises (@p421)) % 0.45/0.63 (step @p423 :rule eq_resolve :premises (@p420 @p422)) % 0.45/0.63 (step @p424 :rule cong :premises (@p423) :args (@t288)) % 0.45/0.63 (step @p425 :rule nary_cong :premises (@p64 @p424 @p418 @p412) :args (@t289)) % 0.45/0.63 (step @p426 :rule cong :premises (@p425) :args ((forall @t23 @t289))) % 0.45/0.63 (step @p427 :rule aci_norm :args ((= (or @t141 @t290) @t289))) % 0.45/0.63 (step @p428 :rule aci_norm :args ((= (or @t288 (or @t287 @t18)) @t290))) % 0.45/0.63 (step @p429 :rule bool-impl-elim :args (@t19 @t18)) % 0.45/0.63 (step @p430 :rule refl :args (@t288)) % 0.45/0.63 (step @p431 :rule nary_cong :premises (@p430 @p429) :args ((or @t288 @t20))) % 0.45/0.63 (step @p432 :rule trans :premises (@p431 @p428)) % 0.45/0.63 (step @p433 :rule bool-impl-elim :args (@t21 @t20)) % 0.45/0.63 (step @p434 :rule trans :premises (@p433 @p432)) % 0.45/0.63 (step @p435 :rule refl :args (@t141)) % 0.45/0.63 (step @p436 :rule nary_cong :premises (@p435 @p434) :args ((or @t141 @t22))) % 0.45/0.63 (step @p437 :rule trans :premises (@p436 @p427)) % 0.45/0.63 (step @p438 :rule bool-impl-elim :args (@t6 @t22)) % 0.45/0.63 (step @p439 :rule trans :premises (@p438 @p437)) % 0.45/0.63 (step @p440 :rule cong :premises (@p439) :args (@t24)) % 0.45/0.63 (step @p441 :rule trans :premises (@p440 @p426)) % 0.45/0.63 (step @p442 :rule cong :premises (@p108 @p441) :args (@t291)) % 0.45/0.63 (step @p443 :rule cong :premises (@p442) :args (@t292)) % 0.45/0.63 (step @p444 :rule trans :premises (@p443 @p407)) % 0.45/0.63 (step @p445 :rule cong :premises (@p112 @p444) :args (@t293)) % 0.45/0.63 (step @p446 :rule cong :premises (@p445) :args ((not @t293))) % 0.45/0.63 (step @p447 :rule refl :args (@t24)) % 0.45/0.63 (step @p448 :rule cong :premises (@p378 @p447) :args (@t25)) % 0.45/0.63 (step @p449 :rule cong :premises (@p448) :args (@t26)) % 0.45/0.63 (step @p450 :rule cong :premises (@p112 @p449) :args (@t27)) % 0.45/0.63 (step @p451 :rule cong :premises (@p450) :args (@t28)) % 0.45/0.63 (step @p452 :rule trans :premises (@p451 @p446)) % 0.45/0.63 (step @p453 :rule trans :premises (@p452 @p385)) % 0.45/0.63 (step @p454 :rule eq_resolve :premises (@p2 @p453)) % 0.45/0.63 (step @p455 :rule not_implies_elim2 :premises (@p454)) % 0.45/0.63 (step @p456 :rule skolemize :premises (@p455)) % 0.45/0.63 (step @p457 :rule bool-double-not-elim :args (@t295)) % 0.45/0.63 (step @p458 :rule refl :args (@t315)) % 0.45/0.63 (step @p459 :rule nary_cong :premises (@p458 @p457) :args ((or @t315 (not @t310)))) % 0.45/0.63 (step @p460 :rule cnf_or_neg :args (@t315 2)) % 0.45/0.63 (step @p461 :rule eq_resolve :premises (@p460 @p459)) % 0.45/0.63 (step @p462 :rule reordering :premises (@p461) :args ((or @t295 @t315))) % 0.45/0.63 (step @p463 :rule chain_m_resolution :premises (@p462 @p456) :args (@t295 @t316 @t317)) % 0.45/0.63 (step @p464 :rule not_implies_elim1 :premises (@p454)) % 0.45/0.63 (step @p465 :rule instantiate :premises (@p464) :args ((@list @t294 @t301 @t296))) % 0.45/0.63 (step @p466 :rule bool-double-not-elim :args (@t299)) % 0.45/0.63 (step @p467 :rule nary_cong :premises (@p458 @p466) :args ((or @t315 (not @t300)))) % 0.45/0.63 (step @p468 :rule cnf_or_neg :args (@t315 7)) % 0.45/0.63 (step @p469 :rule eq_resolve :premises (@p468 @p467)) % 0.45/0.63 (step @p470 :rule reordering :premises (@p469) :args ((or @t299 @t315))) % 0.45/0.63 (step @p471 :rule chain_m_resolution :premises (@p470 @p456) :args (@t299 @t316 @t317)) % 0.45/0.63 (step @p472 :rule bool-double-not-elim :args (@t302)) % 0.45/0.63 (step @p473 :rule nary_cong :premises (@p458 @p472) :args ((or @t315 (not @t303)))) % 0.45/0.63 (step @p474 :rule cnf_or_neg :args (@t315 6)) % 0.45/0.63 (step @p475 :rule eq_resolve :premises (@p474 @p473)) % 0.45/0.63 (step @p476 :rule reordering :premises (@p475) :args ((or @t302 @t315))) % 0.45/0.63 (step @p477 :rule chain_m_resolution :premises (@p476 @p456) :args (@t302 @t316 @t317)) % 0.45/0.63 (step @p478 :rule bool-double-not-elim :args (@t306)) % 0.45/0.63 (step @p479 :rule nary_cong :premises (@p458 @p478) :args ((or @t315 (not @t307)))) % 0.45/0.63 (step @p480 :rule cnf_or_neg :args (@t315 4)) % 0.45/0.63 (step @p481 :rule eq_resolve :premises (@p480 @p479)) % 0.45/0.63 (step @p482 :rule reordering :premises (@p481) :args ((or @t306 @t315))) % 0.45/0.63 (step @p483 :rule chain_m_resolution :premises (@p482 @p456) :args (@t306 @t316 @t317)) % 0.45/0.63 (step @p484 :rule bool-double-not-elim :args (@t308)) % 0.45/0.63 (step @p485 :rule nary_cong :premises (@p458 @p484) :args ((or @t315 (not @t309)))) % 0.45/0.63 (step @p486 :rule cnf_or_neg :args (@t315 3)) % 0.45/0.63 (step @p487 :rule eq_resolve :premises (@p486 @p485)) % 0.45/0.63 (step @p488 :rule reordering :premises (@p487) :args ((or @t308 @t315))) % 0.45/0.63 (step @p489 :rule chain_m_resolution :premises (@p488 @p456) :args (@t308 @t316 @t317)) % 0.45/0.64 (step @p490 :rule bool-double-not-elim :args (@t311)) % 0.45/0.64 (step @p491 :rule nary_cong :premises (@p458 @p490) :args ((or @t315 (not @t312)))) % 0.45/0.64 (step @p492 :rule cnf_or_neg :args (@t315 1)) % 0.45/0.64 (step @p493 :rule eq_resolve :premises (@p492 @p491)) % 0.45/0.64 (step @p494 :rule reordering :premises (@p493) :args ((or @t311 @t315))) % 0.45/0.64 (step @p495 :rule chain_m_resolution :premises (@p494 @p456) :args (@t311 @t316 @t317)) % 0.45/0.64 (step @p496 :rule bool-double-not-elim :args (@t313)) % 0.45/0.64 (step @p497 :rule nary_cong :premises (@p458 @p496) :args ((or @t315 (not @t314)))) % 0.45/0.64 (step @p498 :rule cnf_or_neg :args (@t315 0)) % 0.45/0.64 (step @p499 :rule eq_resolve :premises (@p498 @p497)) % 0.45/0.64 (step @p500 :rule reordering :premises (@p499) :args ((or @t313 @t315))) % 0.45/0.64 (step @p501 :rule chain_m_resolution :premises (@p500 @p456) :args (@t313 @t316 @t317)) % 0.45/0.64 (step @p502 :rule cnf_or_pos :args (@t319)) % 0.45/0.64 (step @p503 :rule reordering :premises (@p502) :args ((or @t314 @t312 @t310 @t309 @t307 @t303 @t300 @t318 (not @t319)))) % 0.45/0.64 (step @p504 :rule chain_m_resolution :premises (@p503 @p501 @p495 @p463 @p489 @p483 @p477 @p471 @p465) :args (@t318 @t320 (@list @t313 @t311 @t295 @t308 @t306 @t302 @t299 @t319))) % 0.45/0.64 (step @p505 :rule instantiate :premises (@p464) :args ((@list @t294 @t297 @t301))) % 0.45/0.64 (step @p506 :rule bool-double-not-elim :args (@t304)) % 0.45/0.64 (step @p507 :rule nary_cong :premises (@p458 @p506) :args ((or @t315 (not @t305)))) % 0.45/0.64 (step @p508 :rule cnf_or_neg :args (@t315 5)) % 0.45/0.64 (step @p509 :rule eq_resolve :premises (@p508 @p507)) % 0.45/0.64 (step @p510 :rule reordering :premises (@p509) :args ((or @t304 @t315))) % 0.45/0.64 (step @p511 :rule chain_m_resolution :premises (@p510 @p456) :args (@t304 @t316 @t317)) % 0.45/0.64 (step @p512 :rule cnf_or_pos :args (@t323)) % 0.45/0.64 (step @p513 :rule reordering :premises (@p512) :args ((or @t314 @t312 @t310 @t309 @t307 @t305 @t321 @t322 (not @t323)))) % 0.45/0.64 (step @p514 :rule chain_m_resolution :premises (@p513 @p501 @p495 @p463 @p489 @p483 @p511 @p504 @p505) :args (@t321 @t320 (@list @t313 @t311 @t295 @t308 @t306 @t304 @t318 @t323))) % 0.45/0.64 (step @p515 :rule cnf_or_neg :args (@t315 8)) % 0.45/0.64 (step @p516 :rule chain_m_resolution :premises (@p515 @p456) :args ((not @t298) @t316 @t317)) % 0.45/0.64 (step @p517 :rule cnf_or_pos :args (@t325)) % 0.45/0.64 (step @p518 :rule reordering :premises (@p517) :args ((or @t305 @t303 @t300 @t298 @t324 @t322 @t326))) % 0.45/0.64 (step @p519 :rule chain_m_resolution :premises (@p518 @p511 @p477 @p471 @p516 @p514 @p504) :args (@t326 (@list false false false true false false) (@list @t304 @t302 @t299 @t298 @t321 @t318))) % 0.45/0.64 (assume-push @p526 @t295) % 0.45/0.64 (step @p521 :rule instantiate :premises (@p463) :args ((@list @t297 @t301 @t296))) % 0.45/0.64 (step-pop @p527 :rule scope :premises (@p521)) % 0.45/0.64 (step @p522 :rule process_scope :premises (@p527) :args (@t325)) % 0.45/0.64 (step @p524 :rule implies_elim :premises (@p522)) % 0.45/0.64 (step @p525 false :rule chain_m_resolution :premises (@p524 @p519 @p463) :args (false (@list true false) (@list @t325 @t295))) % 0.45/0.64 ) % 0.45/0.64 % SZS output end Proof % 0.45/0.64 % cvc5 exiting %------------------------------------------------------------------------------