%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU816^2 : TPTP v9.2.1. Released v3.7.0. % 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 08:53:20 AM UTC 2026 % Result : Theorem 0.45s 0.65s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU816^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n013.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 17:54:15 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.45/0.65 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.65 % SZS status Theorem % 0.45/0.65 % SZS output start Proof % 0.45/0.65 ( % 0.45/0.65 (declare-sort $$unsorted 0) % 0.45/0.65 (declare-const tptp.emptyset $$unsorted) % 0.45/0.65 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.45/0.65 (declare-const tptp.binintTransitive Bool) % 0.45/0.65 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.45/0.65 (define tptp.transitiveset () (let ((_let_1 (@var "A" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (lambda (@list _let_1) (forall (@list _let_2) (=> (_ (_ tptp.in _let_2) _let_1) (_ (_ tptp.subset _let_2) _let_1))))))) % 0.45/0.65 (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))))))))))))))))))) % 0.45/0.65 (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))))))))))))))))) % 0.45/0.65 (define tptp.ordinal () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (and (_ tptp.transitiveset _let_1) (_ tptp.wellorderedByIn _let_1))))) % 0.45/0.65 (define @t1 () (@var "Y" $$unsorted)) % 0.45/0.65 (define @t2 () (@var "X" $$unsorted)) % 0.45/0.65 (define @t3 () (_ (_ tptp.binintersect @t2) @t1)) % 0.45/0.65 (define @t4 () (_ tptp.transitiveset @t3)) % 0.45/0.65 (define @t5 () (=> (_ tptp.transitiveset @t1) @t4)) % 0.45/0.65 (define @t6 () (@list @t1)) % 0.45/0.65 (define @t7 () (forall @t6 @t5)) % 0.45/0.65 (define @t8 () (=> (_ tptp.transitiveset @t2) @t7)) % 0.45/0.65 (define @t9 () (@list @t2)) % 0.45/0.65 (define @t10 () (forall @t9 @t8)) % 0.45/0.65 (define @t11 () (= tptp.binintTransitive @t10)) % 0.45/0.65 (define @t12 () (=> (_ tptp.ordinal @t1) @t4)) % 0.45/0.65 (define @t13 () (forall @t6 @t12)) % 0.45/0.65 (define @t14 () (=> (_ tptp.ordinal @t2) @t13)) % 0.45/0.65 (define @t15 () (forall @t9 @t14)) % 0.45/0.65 (define @t16 () (=> tptp.binintTransitive @t15)) % 0.45/0.65 (define @t17 () (not @t16)) % 0.45/0.65 (define @t18 () (@var "Xx" $$unsorted)) % 0.45/0.65 (define @t19 () (not (= @t18 tptp.emptyset))) % 0.45/0.65 (define @t20 () (@list @t18)) % 0.45/0.65 (define @t21 () (lambda @t20 @t19)) % 0.45/0.65 (define @t22 () (@var "A" $$unsorted)) % 0.45/0.65 (define @t23 () (_ (_ tptp.subset @t2) @t22)) % 0.45/0.65 (define @t24 () (_ tptp.in @t2)) % 0.45/0.65 (define @t25 () (_ @t24 @t22)) % 0.45/0.65 (define @t26 () (forall @t9 (=> @t25 @t23))) % 0.45/0.65 (define @t27 () (@list @t22)) % 0.45/0.65 (define @t28 () (lambda @t27 @t26)) % 0.45/0.65 (define @t29 () (_ @t24 @t2)) % 0.45/0.65 (define @t30 () (not @t29)) % 0.45/0.65 (define @t31 () (forall @t9 (=> @t25 @t30))) % 0.45/0.65 (define @t32 () (_ tptp.in @t1)) % 0.45/0.65 (define @t33 () (_ @t32 @t2)) % 0.45/0.65 (define @t34 () (_ @t24 @t1)) % 0.45/0.65 (define @t35 () (= @t2 @t1)) % 0.45/0.65 (define @t36 () (or @t35 @t34 @t33)) % 0.45/0.65 (define @t37 () (_ @t32 @t22)) % 0.45/0.65 (define @t38 () (forall @t6 (=> @t37 @t36))) % 0.45/0.65 (define @t39 () (=> @t25 @t38)) % 0.45/0.65 (define @t40 () (forall @t9 @t39)) % 0.45/0.65 (define @t41 () (_ tptp.in @t18)) % 0.45/0.65 (define @t42 () (_ @t41 @t1)) % 0.45/0.65 (define @t43 () (_ @t41 @t2)) % 0.45/0.65 (define @t44 () (and @t43 @t34)) % 0.45/0.65 (define @t45 () (=> @t44 @t42)) % 0.45/0.65 (define @t46 () (forall @t6 (=> @t37 @t45))) % 0.45/0.65 (define @t47 () (=> @t25 @t46)) % 0.45/0.65 (define @t48 () (forall @t9 @t47)) % 0.45/0.65 (define @t49 () (_ @t41 @t22)) % 0.45/0.65 (define @t50 () (=> @t49 @t48)) % 0.45/0.65 (define @t51 () (forall @t20 @t50)) % 0.45/0.65 (define @t52 () (and @t51 @t40 @t31)) % 0.45/0.65 (define @t53 () (lambda @t27 @t52)) % 0.45/0.65 (define @t54 () (= @t18 @t1)) % 0.45/0.65 (define @t55 () (or @t54 @t42)) % 0.45/0.65 (define @t56 () (forall @t6 (=> @t33 @t55))) % 0.45/0.65 (define @t57 () (and @t43 @t56)) % 0.45/0.65 (define @t58 () (exists @t20 @t57)) % 0.45/0.65 (define @t59 () (=> (_ tptp.nonempty @t2) @t58)) % 0.45/0.65 (define @t60 () (_ tptp.powerset @t22)) % 0.45/0.65 (define @t61 () (_ @t24 @t60)) % 0.45/0.65 (define @t62 () (=> @t61 @t59)) % 0.45/0.65 (define @t63 () (forall @t9 @t62)) % 0.45/0.65 (define @t64 () (and (_ tptp.stricttotalorderedByIn @t22) @t63)) % 0.45/0.65 (define @t65 () (lambda @t27 @t64)) % 0.45/0.65 (define @t66 () (and (_ tptp.transitiveset @t18) (_ tptp.wellorderedByIn @t18))) % 0.45/0.65 (define @t67 () (lambda @t20 @t66)) % 0.45/0.65 (define @t68 () (@var "BOUND_VARIABLE_8122" $$unsorted)) % 0.45/0.65 (define @t69 () (tptp.binintersect @t2 @t68)) % 0.45/0.65 (define @t70 () (@var "BOUND_VARIABLE_8124" $$unsorted)) % 0.45/0.65 (define @t71 () (tptp.subset @t70 @t69)) % 0.45/0.65 (define @t72 () (not (tptp.in @t70 @t69))) % 0.45/0.65 (define @t73 () (@var "BOUND_VARIABLE_8052" $$unsorted)) % 0.45/0.65 (define @t74 () (not (tptp.in @t73 @t73))) % 0.45/0.65 (define @t75 () (@list @t73)) % 0.45/0.65 (define @t76 () (not (forall @t75 (or (not (tptp.in @t73 @t68)) @t74)))) % 0.45/0.65 (define @t77 () (@var "BOUND_VARIABLE_8062" $$unsorted)) % 0.45/0.65 (define @t78 () (@var "BOUND_VARIABLE_7582" $$unsorted)) % 0.45/0.65 (define @t79 () (tptp.in @t78 @t77)) % 0.45/0.65 (define @t80 () (tptp.in @t77 @t78)) % 0.45/0.65 (define @t81 () (= @t78 @t77)) % 0.45/0.65 (define @t82 () (@list @t77 @t78)) % 0.45/0.65 (define @t83 () (not (forall @t82 (or (not (tptp.in @t77 @t68)) (not (tptp.in @t78 @t68)) @t81 @t80 @t79)))) % 0.45/0.65 (define @t84 () (@var "BOUND_VARIABLE_7554" $$unsorted)) % 0.45/0.65 (define @t85 () (@var "BOUND_VARIABLE_7690" $$unsorted)) % 0.45/0.65 (define @t86 () (tptp.in @t85 @t84)) % 0.45/0.65 (define @t87 () (@var "BOUND_VARIABLE_7552" $$unsorted)) % 0.45/0.65 (define @t88 () (not (tptp.in @t87 @t84))) % 0.45/0.65 (define @t89 () (not (tptp.in @t85 @t87))) % 0.45/0.65 (define @t90 () (@list @t85 @t87 @t84)) % 0.45/0.65 (define @t91 () (not (forall @t90 (or (not (tptp.in @t85 @t68)) (not (tptp.in @t87 @t68)) @t89 (not (tptp.in @t84 @t68)) @t88 @t86)))) % 0.45/0.65 (define @t92 () (@var "BOUND_VARIABLE_7978" $$unsorted)) % 0.45/0.65 (define @t93 () (@var "BOUND_VARIABLE_7700" $$unsorted)) % 0.45/0.65 (define @t94 () (tptp.in @t93 @t92)) % 0.45/0.65 (define @t95 () (= @t93 @t92)) % 0.45/0.65 (define @t96 () (@var "BOUND_VARIABLE_8073" $$unsorted)) % 0.45/0.65 (define @t97 () (@list @t92)) % 0.45/0.65 (define @t98 () (@list @t93)) % 0.45/0.65 (define @t99 () (not (forall @t98 (or (not (tptp.in @t93 @t96)) (not (forall @t97 (or (not (tptp.in @t92 @t96)) @t95 @t94))))))) % 0.45/0.65 (define @t100 () (= tptp.emptyset @t96)) % 0.45/0.65 (define @t101 () (@list @t96)) % 0.45/0.65 (define @t102 () (not (forall @t101 (or (not (tptp.in @t96 (tptp.powerset @t68))) @t100 @t99)))) % 0.45/0.65 (define @t103 () (@var "BOUND_VARIABLE_8092" $$unsorted)) % 0.45/0.65 (define @t104 () (@list @t103)) % 0.45/0.65 (define @t105 () (not (forall @t104 (or (not (tptp.in @t103 @t68)) (tptp.subset @t103 @t68))))) % 0.45/0.65 (define @t106 () (@var "BOUND_VARIABLE_7895" $$unsorted)) % 0.45/0.65 (define @t107 () (not (tptp.in @t106 @t106))) % 0.45/0.65 (define @t108 () (@list @t106)) % 0.45/0.65 (define @t109 () (forall @t108 (or (not (tptp.in @t106 @t2)) @t107))) % 0.45/0.65 (define @t110 () (not @t109)) % 0.45/0.65 (define @t111 () (@var "BOUND_VARIABLE_7904" $$unsorted)) % 0.45/0.65 (define @t112 () (tptp.in @t78 @t111)) % 0.45/0.65 (define @t113 () (tptp.in @t111 @t78)) % 0.45/0.65 (define @t114 () (= @t78 @t111)) % 0.45/0.65 (define @t115 () (tptp.in @t78 @t2)) % 0.45/0.65 (define @t116 () (@list @t111 @t78)) % 0.45/0.65 (define @t117 () (forall @t116 (or (not (tptp.in @t111 @t2)) (not @t115) @t114 @t113 @t112))) % 0.45/0.65 (define @t118 () (not @t117)) % 0.45/0.65 (define @t119 () (forall @t90 (or (not (tptp.in @t85 @t2)) (not (tptp.in @t87 @t2)) @t89 (not (tptp.in @t84 @t2)) @t88 @t86))) % 0.45/0.65 (define @t120 () (not @t119)) % 0.45/0.65 (define @t121 () (tptp.in @t93 @t1)) % 0.45/0.65 (define @t122 () (= @t1 @t93)) % 0.45/0.65 (define @t123 () (@var "BOUND_VARIABLE_7914" $$unsorted)) % 0.45/0.65 (define @t124 () (not (forall @t98 (or (not (tptp.in @t93 @t123)) (not (forall @t6 (or (not (tptp.in @t1 @t123)) @t122 @t121))))))) % 0.45/0.65 (define @t125 () (= tptp.emptyset @t123)) % 0.45/0.65 (define @t126 () (@list @t123)) % 0.45/0.65 (define @t127 () (forall @t126 (or (not (tptp.in @t123 (tptp.powerset @t2))) @t125 @t124))) % 0.45/0.65 (define @t128 () (not @t127)) % 0.45/0.65 (define @t129 () (@var "BOUND_VARIABLE_7932" $$unsorted)) % 0.45/0.65 (define @t130 () (@list @t129)) % 0.45/0.65 (define @t131 () (forall @t130 (or (not (tptp.in @t129 @t2)) (tptp.subset @t129 @t2)))) % 0.45/0.65 (define @t132 () (not @t131)) % 0.45/0.65 (define @t133 () (or @t132 @t128 @t120 @t118 @t110 @t105 @t102 @t91 @t83 @t76 @t72 @t71)) % 0.45/0.65 (define @t134 () (@list @t2 @t68 @t70)) % 0.45/0.65 (define @t135 () (forall @t134 @t133)) % 0.45/0.65 (define @t136 () (@var "BOUND_VARIABLE_7855" $$unsorted)) % 0.45/0.65 (define @t137 () (tptp.binintersect @t2 @t136)) % 0.45/0.65 (define @t138 () (@var "BOUND_VARIABLE_7857" $$unsorted)) % 0.45/0.65 (define @t139 () (tptp.subset @t138 @t137)) % 0.45/0.65 (define @t140 () (not (tptp.in @t138 @t137))) % 0.45/0.65 (define @t141 () (@var "BOUND_VARIABLE_7839" $$unsorted)) % 0.45/0.65 (define @t142 () (@list @t141)) % 0.45/0.65 (define @t143 () (not (forall @t142 (or (not (tptp.in @t141 @t136)) (tptp.subset @t141 @t136))))) % 0.45/0.65 (define @t144 () (@var "BOUND_VARIABLE_7782" $$unsorted)) % 0.45/0.65 (define @t145 () (@list @t144)) % 0.45/0.65 (define @t146 () (forall @t145 (or (not (tptp.in @t144 @t2)) (tptp.subset @t144 @t2)))) % 0.45/0.65 (define @t147 () (not @t146)) % 0.45/0.65 (define @t148 () (or @t143 @t140 @t139)) % 0.45/0.65 (define @t149 () (or @t147 @t148)) % 0.45/0.65 (define @t150 () (forall (@list @t2 @t136 @t138) @t149)) % 0.45/0.65 (define @t151 () (@list @t136 @t138)) % 0.45/0.65 (define @t152 () (forall @t151 @t149)) % 0.45/0.65 (define @t153 () (forall @t151 @t148)) % 0.45/0.65 (define @t154 () (@var "BOUND_VARIABLE_7826" $$unsorted)) % 0.45/0.65 (define @t155 () (or @t147 @t153)) % 0.45/0.65 (define @t156 () (tptp.binintersect @t2 @t1)) % 0.45/0.65 (define @t157 () (tptp.subset @t154 @t156)) % 0.45/0.65 (define @t158 () (not (tptp.in @t154 @t156))) % 0.45/0.65 (define @t159 () (@list @t1 @t154)) % 0.45/0.65 (define @t160 () (forall @t159 (or (not (forall @t142 (or (not (tptp.in @t141 @t1)) (tptp.subset @t141 @t1)))) @t158 @t157))) % 0.45/0.65 (define @t161 () (tptp.in @t2 @t1)) % 0.45/0.65 (define @t162 () (not @t161)) % 0.45/0.65 (define @t163 () (forall @t9 (or @t162 (tptp.subset @t2 @t1)))) % 0.45/0.65 (define @t164 () (@list @t2)) % 0.45/0.65 (define @t165 () (@list @t141)) % 0.45/0.65 (define @t166 () (not @t163)) % 0.45/0.65 (define @t167 () (or @t166 @t158 @t157)) % 0.45/0.65 (define @t168 () (forall @t159 @t167)) % 0.45/0.65 (define @t169 () (=> @t146 @t168)) % 0.45/0.65 (define @t170 () (or @t158 @t157)) % 0.45/0.65 (define @t171 () (or @t166 @t170)) % 0.45/0.65 (define @t172 () (forall @t159 @t171)) % 0.45/0.65 (define @t173 () (@list @t154)) % 0.45/0.65 (define @t174 () (forall @t173 @t171)) % 0.45/0.65 (define @t175 () (forall @t173 @t170)) % 0.45/0.65 (define @t176 () (@var "BOUND_VARIABLE_7800" $$unsorted)) % 0.45/0.65 (define @t177 () (@list @t176)) % 0.45/0.65 (define @t178 () (or @t166 @t175)) % 0.45/0.65 (define @t179 () (@list @t176)) % 0.45/0.65 (define @t180 () (forall @t179 (or (not (tptp.in @t176 @t156)) (tptp.subset @t176 @t156)))) % 0.45/0.65 (define @t181 () (tptp.subset @t176 @t3)) % 0.45/0.65 (define @t182 () (tptp.in @t176 @t3)) % 0.45/0.65 (define @t183 () (not @t182)) % 0.45/0.65 (define @t184 () (or @t183 @t181)) % 0.45/0.65 (define @t185 () (forall @t179 @t184)) % 0.45/0.65 (define @t186 () (tptp.subset @t2 @t22)) % 0.45/0.65 (define @t187 () (tptp.in @t2 @t22)) % 0.45/0.65 (define @t188 () (not @t187)) % 0.45/0.65 (define @t189 () (forall @t9 (or @t188 @t186))) % 0.45/0.65 (define @t190 () (lambda @t27 @t189)) % 0.45/0.65 (define @t191 () (_ @t190 @t1)) % 0.45/0.65 (define @t192 () (_ @t190 @t3)) % 0.45/0.65 (define @t193 () (=> @t191 @t192)) % 0.45/0.65 (define @t194 () (forall @t6 @t193)) % 0.45/0.65 (define @t195 () (@list @t144)) % 0.45/0.65 (define @t196 () (=> (_ @t190 @t2) @t194)) % 0.45/0.65 (define @t197 () (forall @t9 @t196)) % 0.45/0.65 (define @t198 () (not @t25)) % 0.45/0.65 (define @t199 () (or @t198 @t23)) % 0.45/0.65 (define @t200 () (=> tptp.binintTransitive @t135)) % 0.45/0.65 (define @t201 () (or @t105 @t102 @t91 @t83 @t76 @t72 @t71)) % 0.45/0.65 (define @t202 () (or @t132 @t128 @t120 @t118 @t110 @t201)) % 0.45/0.65 (define @t203 () (forall @t134 @t202)) % 0.45/0.65 (define @t204 () (@list @t68 @t70)) % 0.45/0.65 (define @t205 () (forall @t204 @t202)) % 0.45/0.65 (define @t206 () (forall @t204 @t201)) % 0.45/0.65 (define @t207 () (@var "BOUND_VARIABLE_8039" $$unsorted)) % 0.45/0.65 (define @t208 () (or @t132 @t128 @t120 @t118 @t110 @t206)) % 0.45/0.65 (define @t209 () (tptp.subset @t207 @t156)) % 0.45/0.65 (define @t210 () (not (tptp.in @t207 @t156))) % 0.45/0.65 (define @t211 () (not (forall @t75 (or (not (tptp.in @t73 @t1)) @t74)))) % 0.45/0.65 (define @t212 () (not (tptp.in @t78 @t1))) % 0.45/0.65 (define @t213 () (not (tptp.in @t77 @t1))) % 0.45/0.65 (define @t214 () (forall @t90 (or (not (tptp.in @t85 @t1)) (not (tptp.in @t87 @t1)) @t89 (not (tptp.in @t84 @t1)) @t88 @t86))) % 0.45/0.65 (define @t215 () (not @t214)) % 0.45/0.65 (define @t216 () (tptp.powerset @t1)) % 0.45/0.65 (define @t217 () (not (forall @t101 (or (not (tptp.in @t96 @t216)) @t100 @t99)))) % 0.45/0.65 (define @t218 () (not (forall @t104 (or (not (tptp.in @t103 @t1)) (tptp.subset @t103 @t1))))) % 0.45/0.65 (define @t219 () (@list @t1 @t207)) % 0.45/0.65 (define @t220 () (forall @t219 (or @t218 @t217 @t215 (not (forall @t82 (or @t213 @t212 @t81 @t80 @t79))) @t211 @t210 @t209))) % 0.45/0.65 (define @t221 () (or @t132 @t128 @t120 @t118 @t110 @t220)) % 0.45/0.65 (define @t222 () (or @t132 @t128 @t120 @t118 @t110)) % 0.45/0.65 (define @t223 () (and @t131 @t127 @t119 @t117 @t109)) % 0.45/0.65 (define @t224 () (or @t213 @t212 (= @t77 @t78) @t80 @t79)) % 0.45/0.65 (define @t225 () (forall @t82 @t224)) % 0.45/0.65 (define @t226 () (not @t225)) % 0.45/0.65 (define @t227 () (or @t218 @t217 @t215 @t226 @t211 @t210 @t209)) % 0.45/0.65 (define @t228 () (forall @t219 @t227)) % 0.45/0.65 (define @t229 () (=> @t223 @t228)) % 0.45/0.65 (define @t230 () (tptp.in @t2 @t2)) % 0.45/0.65 (define @t231 () (not @t230)) % 0.45/0.65 (define @t232 () (forall @t9 (or @t162 @t231))) % 0.45/0.65 (define @t233 () (not @t232)) % 0.45/0.65 (define @t234 () (tptp.in @t2 @t78)) % 0.45/0.65 (define @t235 () (= @t2 @t78)) % 0.45/0.65 (define @t236 () (@list @t2 @t78)) % 0.45/0.65 (define @t237 () (forall @t236 (or @t162 @t212 @t235 @t234 @t115))) % 0.45/0.65 (define @t238 () (not @t237)) % 0.45/0.65 (define @t239 () (not (tptp.in @t92 @t2))) % 0.45/0.65 (define @t240 () (not (tptp.in @t93 @t2))) % 0.45/0.65 (define @t241 () (not (forall @t98 (or @t240 (not (forall @t97 (or @t239 @t95 @t94))))))) % 0.45/0.65 (define @t242 () (= tptp.emptyset @t2)) % 0.45/0.65 (define @t243 () (forall @t9 (or (not (tptp.in @t2 @t216)) @t242 @t241))) % 0.45/0.65 (define @t244 () (not @t243)) % 0.45/0.65 (define @t245 () (@list @t103)) % 0.45/0.65 (define @t246 () (or @t166 @t244 @t215 @t238 @t233 @t210 @t209)) % 0.45/0.65 (define @t247 () (forall @t219 @t246)) % 0.45/0.65 (define @t248 () (=> @t223 @t247)) % 0.45/0.65 (define @t249 () (or @t210 @t209)) % 0.45/0.65 (define @t250 () (or @t166 @t244 @t215 @t238 @t233 @t249)) % 0.45/0.65 (define @t251 () (forall @t219 @t250)) % 0.45/0.65 (define @t252 () (@list @t207)) % 0.45/0.65 (define @t253 () (forall @t252 @t250)) % 0.45/0.65 (define @t254 () (forall @t252 @t249)) % 0.45/0.65 (define @t255 () (or @t166 @t244 @t215 @t238 @t233 @t254)) % 0.45/0.65 (define @t256 () (or @t166 @t244 @t215 @t238 @t233 @t180)) % 0.45/0.65 (define @t257 () (or @t166 @t244 @t215 @t238 @t233)) % 0.45/0.65 (define @t258 () (and @t163 @t243 @t214 @t237 @t232)) % 0.45/0.65 (define @t259 () (not (tptp.in @t2 @t18))) % 0.45/0.65 (define @t260 () (forall @t9 (or @t259 @t231))) % 0.45/0.65 (define @t261 () (not (tptp.in @t78 @t18))) % 0.45/0.65 (define @t262 () (forall @t236 (or @t259 @t261 @t235 @t234 @t115))) % 0.45/0.65 (define @t263 () (forall @t90 (or (not (tptp.in @t85 @t18)) (not (tptp.in @t87 @t18)) @t89 (not (tptp.in @t84 @t18)) @t88 @t86))) % 0.45/0.65 (define @t264 () (tptp.powerset @t18)) % 0.45/0.65 (define @t265 () (not (tptp.in @t2 @t264))) % 0.45/0.65 (define @t266 () (forall @t9 (or @t259 (tptp.subset @t2 @t18)))) % 0.45/0.65 (define @t267 () (or @t239 (= @t92 @t93) @t94)) % 0.45/0.65 (define @t268 () (forall @t97 @t267)) % 0.45/0.65 (define @t269 () (not @t268)) % 0.45/0.65 (define @t270 () (or @t240 @t269)) % 0.45/0.65 (define @t271 () (forall @t98 @t270)) % 0.45/0.65 (define @t272 () (not @t271)) % 0.45/0.65 (define @t273 () (or @t265 @t242 @t272)) % 0.45/0.65 (define @t274 () (forall @t9 @t273)) % 0.45/0.65 (define @t275 () (and @t266 @t274 @t263 @t262 @t260)) % 0.45/0.65 (define @t276 () (tptp.in @t1 @t2)) % 0.45/0.65 (define @t277 () (not @t276)) % 0.45/0.65 (define @t278 () (forall @t6 (or @t277 @t122 @t121))) % 0.45/0.65 (define @t279 () (@list @t1)) % 0.45/0.65 (define @t280 () (not @t278)) % 0.45/0.65 (define @t281 () (or @t240 @t280)) % 0.45/0.65 (define @t282 () (forall @t98 @t281)) % 0.45/0.65 (define @t283 () (not @t282)) % 0.45/0.65 (define @t284 () (or @t265 @t242 @t283)) % 0.45/0.65 (define @t285 () (forall @t9 @t284)) % 0.45/0.65 (define @t286 () (and @t266 @t285 @t263 @t262 @t260)) % 0.45/0.65 (define @t287 () (lambda @t20 @t286)) % 0.45/0.65 (define @t288 () (=> (_ @t287 @t1) @t192)) % 0.45/0.65 (define @t289 () (forall @t6 @t288)) % 0.45/0.65 (define @t290 () (forall @t108 (or (not (tptp.in @t106 @t18)) @t107))) % 0.45/0.65 (define @t291 () (not (tptp.in @t111 @t18))) % 0.45/0.65 (define @t292 () (forall @t126 (or (not (tptp.in @t123 @t264)) @t125 @t124))) % 0.45/0.65 (define @t293 () (forall @t130 (or (not (tptp.in @t129 @t18)) (tptp.subset @t129 @t18)))) % 0.45/0.65 (define @t294 () (or @t291 @t261 (= @t111 @t78) @t113 @t112)) % 0.45/0.65 (define @t295 () (forall @t116 @t294)) % 0.45/0.65 (define @t296 () (and @t293 @t292 @t263 @t295 @t290)) % 0.45/0.65 (define @t297 () (@list @t129)) % 0.45/0.65 (define @t298 () (=> (_ @t287 @t2) @t289)) % 0.45/0.65 (define @t299 () (forall @t9 @t298)) % 0.45/0.65 (define @t300 () (=> tptp.binintTransitive @t299)) % 0.45/0.65 (define @t301 () (and @t285 @t263 @t262 @t260)) % 0.45/0.65 (define @t302 () (forall @t9 (or @t188 @t231))) % 0.45/0.65 (define @t303 () (not (tptp.in @t78 @t22))) % 0.45/0.65 (define @t304 () (or @t188 @t303 @t235 @t234 @t115)) % 0.45/0.65 (define @t305 () (forall @t236 @t304)) % 0.45/0.65 (define @t306 () (not (tptp.in @t84 @t22))) % 0.45/0.65 (define @t307 () (not (tptp.in @t87 @t22))) % 0.45/0.65 (define @t308 () (forall @t90 (or (not (tptp.in @t85 @t22)) @t307 @t89 @t306 @t88 @t86))) % 0.45/0.65 (define @t309 () (tptp.powerset @t22)) % 0.45/0.65 (define @t310 () (tptp.in @t2 @t309)) % 0.45/0.65 (define @t311 () (not @t310)) % 0.45/0.65 (define @t312 () (or @t277 (= @t93 @t1) @t121)) % 0.45/0.65 (define @t313 () (forall @t6 @t312)) % 0.45/0.65 (define @t314 () (not @t313)) % 0.45/0.65 (define @t315 () (or @t240 @t314)) % 0.45/0.65 (define @t316 () (forall @t98 @t315)) % 0.45/0.65 (define @t317 () (not @t316)) % 0.45/0.65 (define @t318 () (or @t311 @t242 @t317)) % 0.45/0.65 (define @t319 () (forall @t9 @t318)) % 0.45/0.65 (define @t320 () (and @t319 @t308 @t305 @t302)) % 0.45/0.65 (define @t321 () (tptp.in @t18 @t84)) % 0.45/0.65 (define @t322 () (not (tptp.in @t18 @t87))) % 0.45/0.65 (define @t323 () (tptp.in @t18 @t22)) % 0.45/0.65 (define @t324 () (not @t323)) % 0.45/0.65 (define @t325 () (or @t324 @t307 @t322 @t306 @t88 @t321)) % 0.45/0.65 (define @t326 () (@list @t18 @t87 @t84)) % 0.45/0.65 (define @t327 () (forall @t326 @t325)) % 0.45/0.65 (define @t328 () (@list @t18)) % 0.45/0.65 (define @t329 () (tptp.in @t18 @t1)) % 0.45/0.65 (define @t330 () (forall @t6 (or @t277 @t54 @t329))) % 0.45/0.65 (define @t331 () (not @t330)) % 0.45/0.65 (define @t332 () (tptp.in @t18 @t2)) % 0.45/0.65 (define @t333 () (not @t332)) % 0.45/0.65 (define @t334 () (forall @t20 (or @t333 @t331))) % 0.45/0.65 (define @t335 () (not @t334)) % 0.45/0.65 (define @t336 () (or @t311 @t242 @t335)) % 0.45/0.65 (define @t337 () (forall @t9 @t336)) % 0.45/0.65 (define @t338 () (and @t337 @t327 @t305 @t302)) % 0.45/0.65 (define @t339 () (lambda @t27 @t338)) % 0.45/0.65 (define @t340 () (_ @t190 @t18)) % 0.45/0.65 (define @t341 () (and @t327 @t305 @t302)) % 0.45/0.65 (define @t342 () (not @t61)) % 0.45/0.65 (define @t343 () (or @t342 @t242 @t335)) % 0.45/0.65 (define @t344 () (not @t242)) % 0.45/0.65 (define @t345 () (=> @t344 @t335)) % 0.45/0.65 (define @t346 () (not @t43)) % 0.45/0.65 (define @t347 () (or @t346 @t331)) % 0.45/0.65 (define @t348 () (and @t43 @t330)) % 0.45/0.65 (define @t349 () (forall @t20 (not @t348))) % 0.45/0.65 (define @t350 () (not @t349)) % 0.45/0.65 (define @t351 () (not @t33)) % 0.45/0.65 (define @t352 () (or @t351 @t54 @t42)) % 0.45/0.65 (define @t353 () (_ (lambda @t20 (not (= tptp.emptyset @t18))) @t2)) % 0.45/0.65 (define @t354 () (=> @t353 @t58)) % 0.45/0.65 (define @t355 () (=> @t61 @t354)) % 0.45/0.65 (define @t356 () (forall @t9 @t355)) % 0.45/0.65 (define @t357 () (_ (lambda @t27 @t341) @t22)) % 0.45/0.65 (define @t358 () (or @t198 @t30)) % 0.45/0.65 (define @t359 () (or @t303 @t235 @t234 @t115)) % 0.45/0.65 (define @t360 () (or @t188 @t359)) % 0.45/0.65 (define @t361 () (forall @t236 @t360)) % 0.45/0.65 (define @t362 () (@list @t78)) % 0.45/0.65 (define @t363 () (forall @t362 @t360)) % 0.45/0.65 (define @t364 () (forall @t362 @t359)) % 0.45/0.65 (define @t365 () (or @t188 @t364)) % 0.45/0.65 (define @t366 () (tptp.in @t1 @t22)) % 0.45/0.65 (define @t367 () (not @t366)) % 0.45/0.65 (define @t368 () (forall @t6 (or @t367 @t35 @t161 @t276))) % 0.45/0.65 (define @t369 () (or @t198 @t368)) % 0.45/0.65 (define @t370 () (not @t37)) % 0.45/0.65 (define @t371 () (or @t370 @t35 @t34 @t33)) % 0.45/0.65 (define @t372 () (or @t307 @t322 @t306 @t88 @t321)) % 0.45/0.65 (define @t373 () (or @t324 @t372)) % 0.45/0.65 (define @t374 () (forall @t326 @t373)) % 0.45/0.65 (define @t375 () (@list @t87 @t84)) % 0.45/0.65 (define @t376 () (forall @t375 @t373)) % 0.45/0.65 (define @t377 () (forall @t375 @t372)) % 0.45/0.65 (define @t378 () (@var "BOUND_VARIABLE_7530" $$unsorted)) % 0.45/0.65 (define @t379 () (or @t324 @t377)) % 0.45/0.65 (define @t380 () (tptp.in @t18 @t378)) % 0.45/0.65 (define @t381 () (not (tptp.in @t2 @t378))) % 0.45/0.65 (define @t382 () (not (tptp.in @t378 @t22))) % 0.45/0.65 (define @t383 () (or @t188 @t333 @t382 @t381 @t380)) % 0.45/0.65 (define @t384 () (@list @t2 @t378)) % 0.45/0.65 (define @t385 () (forall @t384 @t383)) % 0.45/0.65 (define @t386 () (not @t49)) % 0.45/0.65 (define @t387 () (or @t386 @t385)) % 0.45/0.65 (define @t388 () (or @t382 @t381 @t380)) % 0.45/0.65 (define @t389 () (or @t188 @t333 @t388)) % 0.45/0.65 (define @t390 () (forall @t384 @t389)) % 0.45/0.65 (define @t391 () (@list @t378)) % 0.45/0.65 (define @t392 () (forall @t391 @t389)) % 0.45/0.65 (define @t393 () (forall @t391 @t388)) % 0.45/0.65 (define @t394 () (or @t188 @t333 @t393)) % 0.45/0.65 (define @t395 () (forall @t6 (or @t367 @t162 @t329))) % 0.45/0.65 (define @t396 () (or @t198 @t346 @t395)) % 0.45/0.65 (define @t397 () (or @t346 @t395)) % 0.45/0.65 (define @t398 () (not @t34)) % 0.45/0.65 (define @t399 () (or @t370 @t398 @t42)) % 0.45/0.65 (define @t400 () (forall @t6 @t399)) % 0.45/0.65 (define @t401 () (or @t346 @t400)) % 0.45/0.65 (define @t402 () (or @t346 @t399)) % 0.45/0.65 (define @t403 () (or @t370 @t346 @t398 @t42)) % 0.45/0.65 (define @t404 () (or @t346 @t398 @t42)) % 0.45/0.65 (define @t405 () (@quantifiers_skolemize @t135 1)) % 0.45/0.65 (define @t406 () (@quantifiers_skolemize @t135 0)) % 0.45/0.65 (define @t407 () (tptp.binintersect @t406 @t405)) % 0.45/0.65 (define @t408 () (@quantifiers_skolemize @t135 2)) % 0.45/0.65 (define @t409 () (tptp.in @t408 @t407)) % 0.45/0.65 (define @t410 () (tptp.subset @t408 @t407)) % 0.45/0.65 (define @t411 () (not @t409)) % 0.45/0.65 (define @t412 () (forall @t104 (or (not (tptp.in @t103 @t405)) (tptp.subset @t103 @t405)))) % 0.45/0.65 (define @t413 () (not @t412)) % 0.45/0.65 (define @t414 () (forall @t130 (or (not (tptp.in @t129 @t406)) (tptp.subset @t129 @t406)))) % 0.45/0.65 (define @t415 () (not @t414)) % 0.45/0.65 (define @t416 () (or @t415 (not (forall @t126 (or (not (tptp.in @t123 (tptp.powerset @t406))) @t125 @t124))) (not (forall @t90 (or (not (tptp.in @t85 @t406)) (not (tptp.in @t87 @t406)) @t89 (not (tptp.in @t84 @t406)) @t88 @t86))) (not (forall @t116 (or (not (tptp.in @t111 @t406)) (not (tptp.in @t78 @t406)) @t114 @t113 @t112))) (not (forall @t108 (or (not (tptp.in @t106 @t406)) @t107))) @t413 (not (forall @t101 (or (not (tptp.in @t96 (tptp.powerset @t405))) @t100 @t99))) (not (forall @t90 (or (not (tptp.in @t85 @t405)) (not (tptp.in @t87 @t405)) @t89 (not (tptp.in @t84 @t405)) @t88 @t86))) (not (forall @t82 (or (not (tptp.in @t77 @t405)) (not (tptp.in @t78 @t405)) @t81 @t80 @t79))) (not (forall @t75 (or (not (tptp.in @t73 @t405)) @t74))) @t411 @t410)) % 0.45/0.65 (define @t417 () (@list true)) % 0.45/0.65 (define @t418 () (@list @t416)) % 0.45/0.65 (define @t419 () (forall @t145 (or (not (tptp.in @t144 @t406)) (tptp.subset @t144 @t406)))) % 0.45/0.65 (define @t420 () (@list false)) % 0.45/0.65 (define @t421 () (forall @t142 (or (not (tptp.in @t141 @t405)) (tptp.subset @t141 @t405)))) % 0.45/0.65 (define @t422 () (not @t421)) % 0.45/0.65 (define @t423 () (not @t419)) % 0.45/0.65 (define @t424 () (or @t423 @t422 @t411 @t410)) % 0.45/0.65 (assume @p1 @t11) % 0.45/0.65 (assume @p2 @t17) % 0.45/0.65 (assume @p3 true) % 0.45/0.65 (step @p4 (= tptp.nonempty @t21) :rule refl :args (@t21)) % 0.45/0.65 (step @p5 (= tptp.transitiveset @t28) :rule refl :args (@t28)) % 0.45/0.65 (step @p6 (= tptp.stricttotalorderedByIn @t53) :rule refl :args (@t53)) % 0.45/0.65 (step @p7 (= tptp.wellorderedByIn @t65) :rule refl :args (@t65)) % 0.45/0.65 (step @p8 (= tptp.ordinal @t67) :rule refl :args (@t67)) % 0.45/0.65 (step @p9 :rule refl :args (@t135)) % 0.45/0.65 (step @p10 :rule aci_norm :args ((= @t149 (or @t147 @t143 @t140 @t139)))) % 0.45/0.65 (step @p11 :rule cong :premises (@p10) :args (@t150)) % 0.45/0.65 (step @p12 :rule quant-merge-prenex :args ((= (forall @t9 @t152) @t150))) % 0.45/0.65 (step @p13 :rule alpha_equiv :args (@t153 (@list @t136 @t138) (@list @t1 @t154))) % 0.45/0.65 (step @p14 :rule refl :args (@t147)) % 0.45/0.65 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t155)) % 0.45/0.65 (step @p16 :rule quant-miniscope-or :args ((= @t152 @t155))) % 0.45/0.65 (step @p17 :rule trans :premises (@p16 @p15)) % 0.45/0.65 (step @p18 :rule symm :premises (@p17)) % 0.45/0.65 (step @p19 :rule cong :premises (@p18) :args ((forall @t9 (or @t147 @t160)))) % 0.45/0.65 (step @p20 :rule trans :premises (@p19 @p12)) % 0.45/0.65 (step @p21 :rule trans :premises (@p20 @p11)) % 0.45/0.65 (step @p22 :rule bool-impl-elim :args (@t146 @t160)) % 0.45/0.65 (step @p23 :rule cong :premises (@p22) :args ((forall @t9 (=> @t146 @t160)))) % 0.45/0.65 (step @p24 :rule trans :premises (@p23 @p21)) % 0.45/0.65 (step @p25 :rule refl :args (@t157)) % 0.45/0.65 (step @p26 :rule refl :args (@t158)) % 0.45/0.65 (step @p27 :rule alpha_equiv :args (@t163 @t164 @t165)) % 0.45/0.65 (step @p28 :rule cong :premises (@p27) :args (@t166)) % 0.45/0.65 (step @p29 :rule nary_cong :premises (@p28 @p26 @p25) :args (@t167)) % 0.45/0.65 (step @p30 :rule cong :premises (@p29) :args (@t168)) % 0.45/0.65 (step @p31 :rule 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quant-merge-prenex :args ((= (forall @t9 @t392) @t390))) % 0.45/0.66 (step @p504 :rule alpha_equiv :args (@t393 (@list @t378) @t279)) % 0.45/0.66 (step @p505 :rule refl :args (@t333)) % 0.45/0.66 (step @p506 :rule nary_cong :premises (@p438 @p505 @p504) :args (@t394)) % 0.45/0.66 (step @p507 :rule quant-miniscope-or :args ((= @t392 @t394))) % 0.45/0.66 (step @p508 :rule trans :premises (@p507 @p506)) % 0.45/0.66 (step @p509 :rule symm :premises (@p508)) % 0.45/0.66 (step @p510 :rule cong :premises (@p509) :args ((forall @t9 (or @t188 @t333 @t395)))) % 0.45/0.66 (step @p511 :rule trans :premises (@p510 @p503)) % 0.45/0.66 (step @p512 :rule trans :premises (@p511 @p502)) % 0.45/0.66 (step @p513 :rule refl :args (@t395)) % 0.45/0.66 (step @p514 :rule nary_cong :premises (@p93 @p372 @p513) :args (@t396)) % 0.45/0.66 (step @p515 :rule cong :premises (@p514) :args ((forall @t9 @t396))) % 0.45/0.66 (step @p516 :rule trans :premises (@p515 @p512)) % 0.45/0.66 (step @p517 :rule aci_norm :args ((= (or @t198 @t397) @t396))) % 0.45/0.66 (step @p518 :rule bool-impl-elim :args (@t25 @t397)) % 0.45/0.66 (step @p519 :rule trans :premises (@p518 @p517)) % 0.45/0.66 (step @p520 :rule cong :premises (@p519) :args ((forall @t9 (=> @t25 @t397)))) % 0.45/0.66 (step @p521 :rule trans :premises (@p520 @p516)) % 0.45/0.66 (step @p522 :rule cong :premises (@p457) :args (@t398)) % 0.45/0.66 (step @p523 :rule nary_cong :premises (@p464 @p522 @p385) :args (@t399)) % 0.45/0.66 (step @p524 :rule cong :premises (@p523) :args (@t400)) % 0.45/0.66 (step @p525 :rule refl :args (@t346)) % 0.45/0.66 (step @p526 :rule nary_cong :premises (@p525 @p524) :args (@t401)) % 0.45/0.66 (step @p527 :rule quant-miniscope-or :args ((= (forall @t6 @t402) @t401))) % 0.45/0.66 (step @p528 :rule aci_norm :args ((= @t403 @t402))) % 0.45/0.66 (step @p529 :rule cong :premises (@p528) :args ((forall @t6 @t403))) % 0.45/0.66 (step @p530 :rule trans :premises (@p529 @p527)) % 0.45/0.66 (step @p531 :rule trans :premises (@p530 @p526)) % 0.45/0.66 (step @p532 :rule aci_norm :args ((= (or @t370 @t404) @t403))) % 0.45/0.66 (step @p533 :rule aci_norm :args ((= (or (or @t346 @t398) @t42) @t404))) % 0.45/0.66 (step @p534 :rule bool-and-de-morgan :args (@t43 @t34 true)) % 0.45/0.66 (step @p535 :rule nary_cong :premises (@p534 @p382) :args ((or (not @t44) @t42))) % 0.45/0.66 (step @p536 :rule trans :premises (@p535 @p533)) % 0.45/0.66 (step @p537 :rule bool-impl-elim :args (@t44 @t42)) % 0.45/0.66 (step @p538 :rule trans :premises (@p537 @p536)) % 0.45/0.66 (step @p539 :rule refl :args (@t370)) % 0.45/0.66 (step @p540 :rule nary_cong :premises (@p539 @p538) :args ((or @t370 @t45))) % 0.45/0.66 (step @p541 :rule trans :premises (@p540 @p532)) % 0.45/0.66 (step @p542 :rule bool-impl-elim :args (@t37 @t45)) % 0.45/0.66 (step @p543 :rule trans :premises (@p542 @p541)) % 0.45/0.66 (step @p544 :rule cong :premises (@p543) :args (@t46)) % 0.45/0.66 (step @p545 :rule trans :premises (@p544 @p531)) % 0.45/0.66 (step @p546 :rule cong :premises (@p472 @p545) :args (@t47)) % 0.45/0.66 (step @p547 :rule cong :premises (@p546) :args (@t48)) % 0.45/0.66 (step @p548 :rule trans :premises (@p547 @p521)) % 0.45/0.66 (step @p549 :rule refl :args (@t49)) % 0.45/0.66 (step @p550 :rule cong :premises (@p549 @p548) :args (@t50)) % 0.45/0.66 (step @p551 :rule cong :premises (@p550) :args (@t51)) % 0.45/0.66 (step @p552 :rule trans :premises (@p551 @p500)) % 0.45/0.66 (step @p553 :rule nary_cong :premises (@p552 @p475 @p433) :args (@t52)) % 0.45/0.66 (step @p554 :rule cong :premises (@p553) :args (@t53)) % 0.45/0.66 (step @p555 :rule trans :premises (@p6 @p554)) % 0.45/0.66 (step @p556 :rule ho_cong :premises (@p555 @p422)) % 0.45/0.66 (step @p557 :rule nary_cong :premises (@p556 @p421) :args (@t64)) % 0.45/0.66 (step @p558 :rule trans :premises (@p557 @p412)) % 0.45/0.66 (step @p559 :rule cong :premises (@p558) :args (@t65)) % 0.45/0.66 (step @p560 :rule trans :premises (@p7 @p559)) % 0.45/0.66 (step @p561 :rule ho_cong :premises (@p560 @p297)) % 0.45/0.66 (step @p562 :rule ho_cong :premises (@p100 @p297)) % 0.45/0.66 (step @p563 :rule nary_cong :premises (@p562 @p561) :args (@t66)) % 0.45/0.66 (step @p564 :rule trans :premises (@p563 @p332)) % 0.45/0.66 (step @p565 :rule cong :premises (@p564) :args (@t67)) % 0.45/0.66 (step @p566 :rule trans :premises (@p8 @p565)) % 0.45/0.66 (step @p567 :rule ho_cong :premises (@p566 @p102)) % 0.45/0.66 (step @p568 :rule cong :premises (@p567 @p101) :args (@t12)) % 0.45/0.66 (step @p569 :rule cong :premises (@p568) :args (@t13)) % 0.45/0.66 (step @p570 :rule ho_cong :premises (@p566 @p106)) % 0.45/0.66 (step @p571 :rule cong :premises (@p570 @p569) :args (@t14)) % 0.45/0.66 (step @p572 :rule cong :premises (@p571) :args (@t15)) % 0.45/0.66 (step @p573 :rule cong :premises (@p80 @p572) :args (@t16)) % 0.45/0.66 (step @p574 :rule cong :premises (@p573) :args (@t17)) % 0.45/0.66 (step @p575 :rule trans :premises (@p574 @p294)) % 0.45/0.66 (step @p576 :rule trans :premises (@p575 @p114)) % 0.45/0.66 (step @p577 :rule eq_resolve :premises (@p2 @p576)) % 0.45/0.66 (step @p578 :rule not_implies_elim2 :premises (@p577)) % 0.45/0.66 (step @p579 :rule skolemize :premises (@p578)) % 0.45/0.66 (step @p580 :rule bool-double-not-elim :args (@t409)) % 0.45/0.66 (step @p581 :rule refl :args (@t416)) % 0.45/0.66 (step @p582 :rule nary_cong :premises (@p581 @p580) :args ((or @t416 (not @t411)))) % 0.45/0.66 (step @p583 :rule cnf_or_neg :args (@t416 10)) % 0.45/0.66 (step @p584 :rule eq_resolve :premises (@p583 @p582)) % 0.45/0.66 (step @p585 :rule reordering :premises (@p584) :args ((or @t409 @t416))) % 0.45/0.66 (step @p586 :rule chain_m_resolution :premises (@p585 @p579) :args (@t409 @t417 @t418)) % 0.45/0.66 (step @p587 :rule cnf_or_neg :args (@t416 11)) % 0.45/0.66 (step @p588 :rule chain_m_resolution :premises (@p587 @p579) :args ((not @t410) @t417 @t418)) % 0.45/0.66 (step @p589 :rule not_implies_elim1 :premises (@p577)) % 0.45/0.66 (step @p590 :rule instantiate :premises (@p589) :args ((@list @t406 @t405 @t408))) % 0.45/0.66 (step @p591 :rule bool-double-not-elim :args (@t414)) % 0.45/0.66 (step @p592 :rule nary_cong :premises (@p581 @p591) :args ((or @t416 (not @t415)))) % 0.45/0.66 (step @p593 :rule cnf_or_neg :args (@t416 0)) % 0.45/0.66 (step @p594 :rule eq_resolve :premises (@p593 @p592)) % 0.45/0.66 (step @p595 :rule reordering :premises (@p594) :args ((or @t414 @t416))) % 0.45/0.66 (step @p596 :rule chain_m_resolution :premises (@p595 @p579) :args (@t414 @t417 @t418)) % 0.45/0.66 (step @p597 :rule alpha_equiv :args (@t414 @t297 @t195)) % 0.45/0.66 (step @p598 :rule equiv_elim1 :premises (@p597)) % 0.45/0.66 (step @p599 :rule chain_m_resolution :premises (@p598 @p596) :args (@t419 @t420 (@list @t414))) % 0.45/0.66 (step @p600 :rule bool-double-not-elim :args (@t412)) % 0.45/0.66 (step @p601 :rule nary_cong :premises (@p581 @p600) :args ((or @t416 (not @t413)))) % 0.45/0.66 (step @p602 :rule cnf_or_neg :args (@t416 5)) % 0.45/0.66 (step @p603 :rule eq_resolve :premises (@p602 @p601)) % 0.45/0.66 (step @p604 :rule reordering :premises (@p603) :args ((or @t412 @t416))) % 0.45/0.66 (step @p605 :rule chain_m_resolution :premises (@p604 @p579) :args (@t412 @t417 @t418)) % 0.45/0.66 (step @p606 :rule alpha_equiv :args (@t412 @t245 @t165)) % 0.45/0.66 (step @p607 :rule equiv_elim1 :premises (@p606)) % 0.45/0.66 (step @p608 :rule chain_m_resolution :premises (@p607 @p605) :args (@t421 @t420 (@list @t412))) % 0.45/0.66 (step @p609 :rule cnf_or_pos :args (@t424)) % 0.45/0.66 (step @p610 :rule reordering :premises (@p609) :args ((or @t411 @t410 @t423 @t422 (not @t424)))) % 0.45/0.66 (step @p611 false :rule chain_m_resolution :premises (@p610 @p608 @p599 @p590 @p588 @p586) :args (false (@list false false false true false) (@list @t421 @t419 @t424 @t410 @t409))) % 0.45/0.66 ) % 0.45/0.66 % SZS output end Proof % 0.45/0.66 % cvc5 exiting %------------------------------------------------------------------------------