%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU819^2 : 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 08:53:21 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU819^2 : 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 17:54:28 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.37/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.emptyset $$unsorted) % 0.37/0.62 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.setunionTransitive Bool) % 0.37/0.62 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.37/0.62 (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset))))) % 0.37/0.62 (define tptp.transitiveset () (let ((_let_1 (@var "A" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (lambda (@list _let_1) (forall (@list _let_2) (=> (_ (_ tptp.in _let_2) _let_1) (_ (_ tptp.subset _let_2) _let_1))))))) % 0.37/0.62 (define tptp.stricttotalorderedByIn () (let ((_let_1 (@var "X" $$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" $$unsorted))) (let ((_let_12 (_ tptp.in _let_11))) (lambda (@list _let_3) (and (forall (@list _let_11) (=> (_ _let_12 _let_3) (forall _let_5 (=> _let_4 (forall _let_10 (=> _let_9 (=> (and (_ _let_12 _let_1) _let_8) (_ _let_12 _let_6)))))))) (forall _let_5 (=> _let_4 (forall _let_10 (=> _let_9 (or (= _let_1 _let_6) _let_8 (_ _let_7 _let_1)))))) (forall _let_5 (=> _let_4 (not (_ _let_2 _let_1))))))))))))))))))) % 0.37/0.62 (define tptp.wellorderedByIn () (let ((_let_1 (@var "Y" $$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" $$unsorted))) (lambda (@list _let_5) (and (_ tptp.stricttotalorderedByIn _let_5) (forall (@list _let_4) (=> (_ (_ tptp.in _let_4) (_ tptp.powerset _let_5)) (=> (_ tptp.nonempty _let_4) (exists (@list _let_2) (and (_ _let_3 _let_4) (forall (@list _let_1) (=> (_ (_ tptp.in _let_1) _let_4) (or (= _let_2 _let_1) (_ _let_3 _let_1))))))))))))))))) % 0.37/0.62 (define tptp.ordinal () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (and (_ tptp.transitiveset _let_1) (_ tptp.wellorderedByIn _let_1))))) % 0.37/0.62 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.62 (define @t2 () (_ tptp.setunion @t1)) % 0.37/0.62 (define @t3 () (_ tptp.transitiveset @t2)) % 0.37/0.62 (define @t4 () (@var "Xx" $$unsorted)) % 0.37/0.62 (define @t5 () (_ tptp.transitiveset @t4)) % 0.37/0.62 (define @t6 () (_ tptp.in @t4)) % 0.37/0.62 (define @t7 () (_ @t6 @t1)) % 0.37/0.62 (define @t8 () (=> @t7 @t5)) % 0.37/0.62 (define @t9 () (@list @t4)) % 0.37/0.62 (define @t10 () (forall @t9 @t8)) % 0.37/0.62 (define @t11 () (=> @t10 @t3)) % 0.37/0.62 (define @t12 () (@list @t1)) % 0.37/0.62 (define @t13 () (forall @t12 @t11)) % 0.37/0.62 (define @t14 () (= tptp.setunionTransitive @t13)) % 0.37/0.62 (define @t15 () (=> @t7 (_ tptp.ordinal @t4))) % 0.37/0.62 (define @t16 () (forall @t9 @t15)) % 0.37/0.62 (define @t17 () (=> @t16 @t3)) % 0.37/0.62 (define @t18 () (forall @t12 @t17)) % 0.37/0.62 (define @t19 () (=> tptp.setunionTransitive @t18)) % 0.37/0.62 (define @t20 () (not @t19)) % 0.37/0.62 (define @t21 () (not (= @t4 tptp.emptyset))) % 0.37/0.62 (define @t22 () (lambda @t9 @t21)) % 0.37/0.62 (define @t23 () (@var "A" $$unsorted)) % 0.37/0.62 (define @t24 () (_ (_ tptp.subset @t1) @t23)) % 0.37/0.62 (define @t25 () (_ tptp.in @t1)) % 0.37/0.62 (define @t26 () (_ @t25 @t23)) % 0.37/0.62 (define @t27 () (forall @t12 (=> @t26 @t24))) % 0.37/0.62 (define @t28 () (@list @t23)) % 0.37/0.62 (define @t29 () (lambda @t28 @t27)) % 0.37/0.62 (define @t30 () (_ @t25 @t1)) % 0.37/0.62 (define @t31 () (not @t30)) % 0.37/0.62 (define @t32 () (forall @t12 (=> @t26 @t31))) % 0.37/0.62 (define @t33 () (@var "Y" $$unsorted)) % 0.37/0.62 (define @t34 () (_ tptp.in @t33)) % 0.37/0.62 (define @t35 () (_ @t34 @t1)) % 0.37/0.62 (define @t36 () (_ @t25 @t33)) % 0.37/0.62 (define @t37 () (= @t1 @t33)) % 0.37/0.62 (define @t38 () (or @t37 @t36 @t35)) % 0.37/0.62 (define @t39 () (_ @t34 @t23)) % 0.37/0.62 (define @t40 () (@list @t33)) % 0.37/0.62 (define @t41 () (forall @t40 (=> @t39 @t38))) % 0.37/0.62 (define @t42 () (=> @t26 @t41)) % 0.37/0.62 (define @t43 () (forall @t12 @t42)) % 0.37/0.62 (define @t44 () (_ @t6 @t33)) % 0.37/0.62 (define @t45 () (and @t7 @t36)) % 0.37/0.62 (define @t46 () (=> @t45 @t44)) % 0.37/0.62 (define @t47 () (forall @t40 (=> @t39 @t46))) % 0.37/0.62 (define @t48 () (=> @t26 @t47)) % 0.37/0.62 (define @t49 () (forall @t12 @t48)) % 0.37/0.62 (define @t50 () (_ @t6 @t23)) % 0.37/0.62 (define @t51 () (=> @t50 @t49)) % 0.37/0.62 (define @t52 () (forall @t9 @t51)) % 0.37/0.62 (define @t53 () (and @t52 @t43 @t32)) % 0.37/0.62 (define @t54 () (lambda @t28 @t53)) % 0.37/0.62 (define @t55 () (= @t4 @t33)) % 0.37/0.62 (define @t56 () (or @t55 @t44)) % 0.37/0.62 (define @t57 () (forall @t40 (=> @t35 @t56))) % 0.37/0.62 (define @t58 () (and @t7 @t57)) % 0.37/0.62 (define @t59 () (exists @t9 @t58)) % 0.37/0.62 (define @t60 () (=> (_ tptp.nonempty @t1) @t59)) % 0.37/0.62 (define @t61 () (_ tptp.powerset @t23)) % 0.37/0.62 (define @t62 () (_ @t25 @t61)) % 0.37/0.62 (define @t63 () (=> @t62 @t60)) % 0.37/0.62 (define @t64 () (forall @t12 @t63)) % 0.37/0.62 (define @t65 () (and (_ tptp.stricttotalorderedByIn @t23) @t64)) % 0.37/0.62 (define @t66 () (lambda @t28 @t65)) % 0.37/0.62 (define @t67 () (and @t5 (_ tptp.wellorderedByIn @t4))) % 0.37/0.62 (define @t68 () (lambda @t9 @t67)) % 0.37/0.62 (define @t69 () (tptp.setunion @t1)) % 0.37/0.62 (define @t70 () (@var "BOUND_VARIABLE_7922" $$unsorted)) % 0.37/0.62 (define @t71 () (tptp.subset @t70 @t69)) % 0.37/0.62 (define @t72 () (not (tptp.in @t70 @t69))) % 0.37/0.62 (define @t73 () (@var "BOUND_VARIABLE_7906" $$unsorted)) % 0.37/0.62 (define @t74 () (or (not (tptp.in @t73 @t4)) (not (tptp.in @t73 @t73)))) % 0.37/0.62 (define @t75 () (@var "BOUND_VARIABLE_7894" $$unsorted)) % 0.37/0.62 (define @t76 () (@var "BOUND_VARIABLE_7896" $$unsorted)) % 0.37/0.62 (define @t77 () (or (not (tptp.in @t75 @t4)) (not (tptp.in @t76 @t4)) (= @t75 @t76) (tptp.in @t75 @t76) (tptp.in @t76 @t75))) % 0.37/0.62 (define @t78 () (@var "BOUND_VARIABLE_7880" $$unsorted)) % 0.37/0.62 (define @t79 () (@var "BOUND_VARIABLE_7876" $$unsorted)) % 0.37/0.62 (define @t80 () (@var "BOUND_VARIABLE_7878" $$unsorted)) % 0.37/0.62 (define @t81 () (or (not (tptp.in @t79 @t4)) (not (tptp.in @t80 @t4)) (not (tptp.in @t79 @t80)) (not (tptp.in @t78 @t4)) (not (tptp.in @t80 @t78)) (tptp.in @t79 @t78))) % 0.37/0.62 (define @t82 () (@var "BOUND_VARIABLE_7696" $$unsorted)) % 0.37/0.62 (define @t83 () (tptp.in @t82 @t33)) % 0.37/0.62 (define @t84 () (= @t33 @t82)) % 0.37/0.62 (define @t85 () (@var "BOUND_VARIABLE_7860" $$unsorted)) % 0.37/0.62 (define @t86 () (@list @t82)) % 0.37/0.62 (define @t87 () (tptp.powerset @t4)) % 0.37/0.62 (define @t88 () (or (not (tptp.in @t85 @t87)) (= tptp.emptyset @t85) (not (forall @t86 (or (not (tptp.in @t82 @t85)) (not (forall @t40 (or (not (tptp.in @t33 @t85)) @t84 @t83)))))))) % 0.37/0.62 (define @t89 () (@var "BOUND_VARIABLE_7854" $$unsorted)) % 0.37/0.62 (define @t90 () (or (not (tptp.in @t89 @t4)) (tptp.subset @t89 @t4))) % 0.37/0.62 (define @t91 () (and @t90 @t88 @t81 @t77 @t74)) % 0.37/0.62 (define @t92 () (tptp.in @t4 @t1)) % 0.37/0.62 (define @t93 () (not @t92)) % 0.37/0.62 (define @t94 () (or @t93 @t91)) % 0.37/0.62 (define @t95 () (@list @t4 @t89 @t85 @t79 @t80 @t78 @t75 @t76 @t73)) % 0.37/0.62 (define @t96 () (forall @t95 @t94)) % 0.37/0.62 (define @t97 () (not @t96)) % 0.37/0.62 (define @t98 () (or @t97 @t72 @t71)) % 0.37/0.62 (define @t99 () (@list @t1 @t70)) % 0.37/0.62 (define @t100 () (forall @t99 @t98)) % 0.37/0.62 (define @t101 () (@var "BOUND_VARIABLE_7818" $$unsorted)) % 0.37/0.62 (define @t102 () (tptp.subset @t101 @t69)) % 0.37/0.62 (define @t103 () (not (tptp.in @t101 @t69))) % 0.37/0.62 (define @t104 () (@var "BOUND_VARIABLE_7781" $$unsorted)) % 0.37/0.62 (define @t105 () (tptp.subset @t104 @t4)) % 0.37/0.62 (define @t106 () (not (tptp.in @t104 @t4))) % 0.37/0.62 (define @t107 () (or @t93 @t106 @t105)) % 0.37/0.62 (define @t108 () (@list @t4 @t104)) % 0.37/0.62 (define @t109 () (forall @t108 @t107)) % 0.37/0.62 (define @t110 () (not @t109)) % 0.37/0.62 (define @t111 () (or @t103 @t102)) % 0.37/0.62 (define @t112 () (or @t110 @t111)) % 0.37/0.62 (define @t113 () (forall (@list @t1 @t101) @t112)) % 0.37/0.62 (define @t114 () (@list @t101)) % 0.37/0.62 (define @t115 () (forall @t114 @t112)) % 0.37/0.62 (define @t116 () (forall @t114 @t111)) % 0.37/0.62 (define @t117 () (@var "BOUND_VARIABLE_7792" $$unsorted)) % 0.37/0.62 (define @t118 () (@list @t117)) % 0.37/0.62 (define @t119 () (or @t110 @t116)) % 0.37/0.62 (define @t120 () (@list @t117)) % 0.37/0.62 (define @t121 () (forall @t120 (or (not (tptp.in @t117 @t69)) (tptp.subset @t117 @t69)))) % 0.37/0.62 (define @t122 () (tptp.subset @t117 @t2)) % 0.37/0.62 (define @t123 () (tptp.in @t117 @t2)) % 0.37/0.62 (define @t124 () (not @t123)) % 0.37/0.62 (define @t125 () (or @t124 @t122)) % 0.37/0.62 (define @t126 () (forall @t120 @t125)) % 0.37/0.62 (define @t127 () (tptp.subset @t1 @t23)) % 0.37/0.62 (define @t128 () (tptp.in @t1 @t23)) % 0.37/0.62 (define @t129 () (not @t128)) % 0.37/0.62 (define @t130 () (forall @t12 (or @t129 @t127))) % 0.37/0.62 (define @t131 () (@list @t1)) % 0.37/0.62 (define @t132 () (lambda @t28 @t130)) % 0.37/0.62 (define @t133 () (or @t106 @t105)) % 0.37/0.62 (define @t134 () (or @t93 @t133)) % 0.37/0.62 (define @t135 () (forall @t108 @t134)) % 0.37/0.62 (define @t136 () (@list @t104)) % 0.37/0.62 (define @t137 () (forall @t136 @t134)) % 0.37/0.62 (define @t138 () (forall @t136 @t133)) % 0.37/0.62 (define @t139 () (or @t93 @t138)) % 0.37/0.62 (define @t140 () (not (tptp.in @t1 @t4))) % 0.37/0.62 (define @t141 () (forall @t12 (or @t140 (tptp.subset @t1 @t4)))) % 0.37/0.62 (define @t142 () (not @t7)) % 0.37/0.62 (define @t143 () (or @t142 @t141)) % 0.37/0.62 (define @t144 () (_ @t132 @t4)) % 0.37/0.62 (define @t145 () (=> @t7 @t144)) % 0.37/0.62 (define @t146 () (forall @t9 @t145)) % 0.37/0.62 (define @t147 () (_ @t132 @t2)) % 0.37/0.62 (define @t148 () (=> @t146 @t147)) % 0.37/0.62 (define @t149 () (forall @t12 @t148)) % 0.37/0.62 (define @t150 () (not @t26)) % 0.37/0.62 (define @t151 () (or @t150 @t24)) % 0.37/0.62 (define @t152 () (=> tptp.setunionTransitive @t100)) % 0.37/0.62 (define @t153 () (or @t72 @t71)) % 0.37/0.62 (define @t154 () (or @t97 @t153)) % 0.37/0.62 (define @t155 () (forall @t99 @t154)) % 0.37/0.62 (define @t156 () (@list @t70)) % 0.37/0.62 (define @t157 () (forall @t156 @t154)) % 0.37/0.62 (define @t158 () (forall @t156 @t153)) % 0.37/0.62 (define @t159 () (or @t97 @t158)) % 0.37/0.62 (define @t160 () (@list @t89 @t85 @t79 @t80 @t78 @t75 @t76 @t73)) % 0.37/0.62 (define @t161 () (forall @t160 @t94)) % 0.37/0.62 (define @t162 () (forall (@list @t73) @t74)) % 0.37/0.62 (define @t163 () (forall @t160 @t74)) % 0.37/0.62 (define @t164 () (forall (@list @t75 @t76) @t77)) % 0.37/0.62 (define @t165 () (@var "BOUND_VARIABLE_7579" $$unsorted)) % 0.37/0.62 (define @t166 () (forall @t160 @t77)) % 0.37/0.62 (define @t167 () (forall (@list @t79 @t80 @t78) @t81)) % 0.37/0.62 (define @t168 () (@var "BOUND_VARIABLE_7551" $$unsorted)) % 0.37/0.62 (define @t169 () (@var "BOUND_VARIABLE_7549" $$unsorted)) % 0.37/0.62 (define @t170 () (@var "BOUND_VARIABLE_7686" $$unsorted)) % 0.37/0.62 (define @t171 () (forall @t160 @t81)) % 0.37/0.62 (define @t172 () (forall (@list @t85) @t88)) % 0.37/0.62 (define @t173 () (forall @t160 @t88)) % 0.37/0.62 (define @t174 () (forall (@list @t89) @t90)) % 0.37/0.62 (define @t175 () (forall @t160 @t90)) % 0.37/0.62 (define @t176 () (and @t175 @t173 @t171 @t166 @t163)) % 0.37/0.62 (define @t177 () (forall @t160 @t91)) % 0.37/0.62 (define @t178 () (or @t93 @t177)) % 0.37/0.62 (define @t179 () (tptp.in @t1 @t1)) % 0.37/0.62 (define @t180 () (not @t179)) % 0.37/0.62 (define @t181 () (forall @t12 (or @t140 @t180))) % 0.37/0.62 (define @t182 () (tptp.in @t165 @t1)) % 0.37/0.62 (define @t183 () (tptp.in @t1 @t165)) % 0.37/0.62 (define @t184 () (= @t1 @t165)) % 0.37/0.62 (define @t185 () (@list @t1 @t165)) % 0.37/0.62 (define @t186 () (forall @t185 (or @t140 (not (tptp.in @t165 @t4)) @t184 @t183 @t182))) % 0.37/0.62 (define @t187 () (tptp.in @t170 @t168)) % 0.37/0.62 (define @t188 () (not (tptp.in @t169 @t168))) % 0.37/0.62 (define @t189 () (not (tptp.in @t170 @t169))) % 0.37/0.62 (define @t190 () (@list @t170 @t169 @t168)) % 0.37/0.62 (define @t191 () (forall @t190 (or (not (tptp.in @t170 @t4)) (not (tptp.in @t169 @t4)) @t189 (not (tptp.in @t168 @t4)) @t188 @t187))) % 0.37/0.62 (define @t192 () (tptp.in @t33 @t1)) % 0.37/0.62 (define @t193 () (not @t192)) % 0.37/0.62 (define @t194 () (not (tptp.in @t82 @t1))) % 0.37/0.62 (define @t195 () (not (forall @t86 (or @t194 (not (forall @t40 (or @t193 @t84 @t83))))))) % 0.37/0.62 (define @t196 () (= tptp.emptyset @t1)) % 0.37/0.62 (define @t197 () (forall @t12 (or (not (tptp.in @t1 @t87)) @t196 @t195))) % 0.37/0.62 (define @t198 () (and @t141 @t197 @t191 @t186 @t181)) % 0.37/0.62 (define @t199 () (or @t142 @t198)) % 0.37/0.62 (define @t200 () (_ (lambda @t9 @t198) @t4)) % 0.37/0.62 (define @t201 () (=> @t7 @t200)) % 0.37/0.62 (define @t202 () (forall @t9 @t201)) % 0.37/0.62 (define @t203 () (=> @t202 @t147)) % 0.37/0.62 (define @t204 () (forall @t12 @t203)) % 0.37/0.62 (define @t205 () (=> tptp.setunionTransitive @t204)) % 0.37/0.62 (define @t206 () (and @t197 @t191 @t186 @t181)) % 0.37/0.62 (define @t207 () (forall @t12 (or @t129 @t180))) % 0.37/0.62 (define @t208 () (not (tptp.in @t165 @t23))) % 0.37/0.62 (define @t209 () (or @t129 @t208 @t184 @t183 @t182)) % 0.37/0.62 (define @t210 () (forall @t185 @t209)) % 0.37/0.62 (define @t211 () (not (tptp.in @t168 @t23))) % 0.37/0.62 (define @t212 () (not (tptp.in @t169 @t23))) % 0.37/0.62 (define @t213 () (forall @t190 (or (not (tptp.in @t170 @t23)) @t212 @t189 @t211 @t188 @t187))) % 0.37/0.62 (define @t214 () (tptp.powerset @t23)) % 0.37/0.62 (define @t215 () (tptp.in @t1 @t214)) % 0.37/0.62 (define @t216 () (not @t215)) % 0.37/0.62 (define @t217 () (or @t193 (= @t82 @t33) @t83)) % 0.37/0.62 (define @t218 () (forall @t40 @t217)) % 0.37/0.62 (define @t219 () (not @t218)) % 0.37/0.62 (define @t220 () (or @t194 @t219)) % 0.37/0.62 (define @t221 () (forall @t86 @t220)) % 0.37/0.62 (define @t222 () (not @t221)) % 0.37/0.62 (define @t223 () (or @t216 @t196 @t222)) % 0.37/0.62 (define @t224 () (forall @t12 @t223)) % 0.37/0.62 (define @t225 () (and @t224 @t213 @t210 @t207)) % 0.37/0.62 (define @t226 () (tptp.in @t4 @t168)) % 0.37/0.62 (define @t227 () (not (tptp.in @t4 @t169))) % 0.37/0.62 (define @t228 () (tptp.in @t4 @t23)) % 0.37/0.62 (define @t229 () (not @t228)) % 0.37/0.62 (define @t230 () (or @t229 @t212 @t227 @t211 @t188 @t226)) % 0.37/0.62 (define @t231 () (@list @t4 @t169 @t168)) % 0.37/0.62 (define @t232 () (forall @t231 @t230)) % 0.37/0.62 (define @t233 () (@list @t4)) % 0.37/0.62 (define @t234 () (tptp.in @t4 @t33)) % 0.37/0.62 (define @t235 () (forall @t40 (or @t193 @t55 @t234))) % 0.37/0.62 (define @t236 () (not @t235)) % 0.37/0.62 (define @t237 () (forall @t9 (or @t93 @t236))) % 0.37/0.62 (define @t238 () (not @t237)) % 0.37/0.62 (define @t239 () (or @t216 @t196 @t238)) % 0.37/0.62 (define @t240 () (forall @t12 @t239)) % 0.37/0.62 (define @t241 () (and @t240 @t232 @t210 @t207)) % 0.37/0.62 (define @t242 () (lambda @t28 @t241)) % 0.37/0.62 (define @t243 () (and @t232 @t210 @t207)) % 0.37/0.62 (define @t244 () (not @t62)) % 0.37/0.62 (define @t245 () (or @t244 @t196 @t238)) % 0.37/0.62 (define @t246 () (not @t196)) % 0.37/0.62 (define @t247 () (=> @t246 @t238)) % 0.37/0.62 (define @t248 () (or @t142 @t236)) % 0.37/0.62 (define @t249 () (and @t7 @t235)) % 0.37/0.62 (define @t250 () (forall @t9 (not @t249))) % 0.37/0.62 (define @t251 () (not @t250)) % 0.37/0.62 (define @t252 () (not @t35)) % 0.37/0.62 (define @t253 () (or @t252 @t55 @t44)) % 0.37/0.62 (define @t254 () (_ (lambda @t9 (not (= tptp.emptyset @t4))) @t1)) % 0.37/0.62 (define @t255 () (=> @t254 @t59)) % 0.37/0.62 (define @t256 () (=> @t62 @t255)) % 0.37/0.62 (define @t257 () (forall @t12 @t256)) % 0.37/0.62 (define @t258 () (_ (lambda @t28 @t243) @t23)) % 0.37/0.62 (define @t259 () (or @t150 @t31)) % 0.37/0.62 (define @t260 () (or @t208 @t184 @t183 @t182)) % 0.37/0.62 (define @t261 () (or @t129 @t260)) % 0.37/0.62 (define @t262 () (forall @t185 @t261)) % 0.37/0.62 (define @t263 () (@list @t165)) % 0.37/0.62 (define @t264 () (forall @t263 @t261)) % 0.37/0.62 (define @t265 () (forall @t263 @t260)) % 0.37/0.62 (define @t266 () (@list @t33)) % 0.37/0.62 (define @t267 () (or @t129 @t265)) % 0.37/0.62 (define @t268 () (tptp.in @t1 @t33)) % 0.37/0.62 (define @t269 () (tptp.in @t33 @t23)) % 0.37/0.62 (define @t270 () (not @t269)) % 0.37/0.62 (define @t271 () (forall @t40 (or @t270 @t37 @t268 @t192))) % 0.37/0.62 (define @t272 () (or @t150 @t271)) % 0.37/0.62 (define @t273 () (not @t39)) % 0.37/0.62 (define @t274 () (or @t273 @t37 @t36 @t35)) % 0.37/0.62 (define @t275 () (or @t212 @t227 @t211 @t188 @t226)) % 0.37/0.62 (define @t276 () (or @t229 @t275)) % 0.37/0.62 (define @t277 () (forall @t231 @t276)) % 0.37/0.62 (define @t278 () (@list @t169 @t168)) % 0.37/0.62 (define @t279 () (forall @t278 @t276)) % 0.37/0.62 (define @t280 () (forall @t278 @t275)) % 0.37/0.62 (define @t281 () (@var "BOUND_VARIABLE_7527" $$unsorted)) % 0.37/0.62 (define @t282 () (or @t229 @t280)) % 0.37/0.62 (define @t283 () (tptp.in @t4 @t281)) % 0.37/0.62 (define @t284 () (not (tptp.in @t1 @t281))) % 0.37/0.62 (define @t285 () (not (tptp.in @t281 @t23))) % 0.37/0.62 (define @t286 () (or @t129 @t93 @t285 @t284 @t283)) % 0.37/0.62 (define @t287 () (@list @t1 @t281)) % 0.37/0.62 (define @t288 () (forall @t287 @t286)) % 0.37/0.62 (define @t289 () (not @t50)) % 0.37/0.62 (define @t290 () (or @t289 @t288)) % 0.37/0.62 (define @t291 () (or @t285 @t284 @t283)) % 0.37/0.62 (define @t292 () (or @t129 @t93 @t291)) % 0.37/0.62 (define @t293 () (forall @t287 @t292)) % 0.37/0.62 (define @t294 () (@list @t281)) % 0.37/0.62 (define @t295 () (forall @t294 @t292)) % 0.37/0.62 (define @t296 () (forall @t294 @t291)) % 0.37/0.62 (define @t297 () (or @t129 @t93 @t296)) % 0.37/0.62 (define @t298 () (forall @t40 (or @t270 (not @t268) @t234))) % 0.37/0.62 (define @t299 () (or @t150 @t142 @t298)) % 0.37/0.62 (define @t300 () (or @t142 @t298)) % 0.37/0.62 (define @t301 () (not @t36)) % 0.37/0.62 (define @t302 () (or @t273 @t301 @t44)) % 0.37/0.62 (define @t303 () (forall @t40 @t302)) % 0.37/0.62 (define @t304 () (or @t142 @t303)) % 0.37/0.62 (define @t305 () (or @t142 @t302)) % 0.37/0.62 (define @t306 () (or @t273 @t142 @t301 @t44)) % 0.37/0.62 (define @t307 () (or @t142 @t301 @t44)) % 0.37/0.62 (define @t308 () (@quantifiers_skolemize @t100 1)) % 0.37/0.62 (define @t309 () (@quantifiers_skolemize @t100 0)) % 0.37/0.62 (define @t310 () (tptp.setunion @t309)) % 0.37/0.62 (define @t311 () (tptp.subset @t308 @t310)) % 0.37/0.62 (define @t312 () (tptp.in @t308 @t310)) % 0.37/0.62 (define @t313 () (not @t312)) % 0.37/0.62 (define @t314 () (not (tptp.in @t4 @t309))) % 0.37/0.62 (define @t315 () (forall @t95 (or @t314 @t91))) % 0.37/0.62 (define @t316 () (not @t315)) % 0.37/0.62 (define @t317 () (or @t316 @t313 @t311)) % 0.37/0.62 (define @t318 () (@list true)) % 0.37/0.62 (define @t319 () (@list @t317)) % 0.37/0.62 (define @t320 () (forall @t108 (or @t314 @t106 @t105))) % 0.37/0.62 (define @t321 () (not @t320)) % 0.37/0.62 (define @t322 () (or @t321 @t313 @t311)) % 0.37/0.62 (define @t323 () (@quantifiers_skolemize @t320 0)) % 0.37/0.62 (define @t324 () (tptp.in @t323 @t309)) % 0.37/0.62 (define @t325 () (@quantifiers_skolemize @t320 1)) % 0.37/0.62 (define @t326 () (tptp.subset @t325 @t323)) % 0.37/0.62 (define @t327 () (tptp.in @t325 @t323)) % 0.37/0.62 (define @t328 () (not @t327)) % 0.37/0.62 (define @t329 () (not @t324)) % 0.37/0.62 (define @t330 () (or @t329 @t328 @t326)) % 0.37/0.62 (define @t331 () (@list @t330)) % 0.37/0.62 (define @t332 () (tptp.in @t309 @t309)) % 0.37/0.62 (define @t333 () (not @t332)) % 0.37/0.62 (define @t334 () (not (tptp.in @t309 @t323))) % 0.37/0.62 (define @t335 () (or @t334 @t333)) % 0.37/0.62 (define @t336 () (or @t334 @t334 @t333 @t334 @t333 @t332)) % 0.37/0.62 (define @t337 () (or (not (tptp.in @t309 (tptp.powerset @t323))) (= tptp.emptyset @t309) (not (forall @t86 (or (not (tptp.in @t82 @t309)) (not (forall @t40 (or (not (tptp.in @t33 @t309)) @t84 @t83)))))))) % 0.37/0.62 (define @t338 () (or @t328 @t326)) % 0.37/0.62 (define @t339 () (and @t338 @t337 @t336 @t335)) % 0.37/0.62 (define @t340 () (or @t334 @t334 (= @t309 @t309) @t332 @t332)) % 0.37/0.62 (define @t341 () (and @t338 @t337 @t336 @t340 @t335)) % 0.37/0.62 (define @t342 () (or @t329 @t341)) % 0.37/0.62 (define @t343 () (or @t329 @t339)) % 0.37/0.62 (define @t344 () (not @t338)) % 0.37/0.62 (define @t345 () (not @t339)) % 0.37/0.62 (assume @p1 @t14) % 0.37/0.62 (assume @p2 @t20) % 0.37/0.62 (assume @p3 true) % 0.37/0.62 (step @p4 (= tptp.nonempty @t22) :rule refl :args (@t22)) % 0.37/0.62 (step @p5 (= tptp.transitiveset @t29) :rule refl :args (@t29)) % 0.37/0.62 (step @p6 (= tptp.stricttotalorderedByIn @t54) :rule refl :args (@t54)) % 0.37/0.62 (step @p7 (= tptp.wellorderedByIn @t66) :rule refl :args (@t66)) % 0.37/0.62 (step @p8 (= tptp.ordinal @t68) :rule refl :args (@t68)) % 0.37/0.62 (step @p9 :rule refl :args (@t100)) % 0.37/0.62 (step @p10 :rule aci_norm :args ((= @t112 (or @t110 @t103 @t102)))) % 0.37/0.62 (step @p11 :rule cong :premises (@p10) :args (@t113)) % 0.37/0.62 (step @p12 :rule quant-merge-prenex :args ((= (forall @t12 @t115) @t113))) % 0.37/0.62 (step @p13 :rule alpha_equiv :args (@t116 (@list @t101) @t118)) % 0.37/0.62 (step @p14 :rule refl :args (@t110)) % 0.37/0.62 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t119)) % 0.37/0.62 (step @p16 :rule quant-miniscope-or :args ((= @t115 @t119))) % 0.37/0.62 (step @p17 :rule trans :premises (@p16 @p15)) % 0.37/0.62 (step @p18 :rule symm :premises (@p17)) % 0.37/0.62 (step @p19 :rule cong :premises (@p18) :args ((forall @t12 (or @t110 @t121)))) % 0.37/0.62 (step @p20 :rule trans :premises (@p19 @p12)) % 0.37/0.62 (step @p21 :rule trans :premises (@p20 @p11)) % 0.37/0.62 (step @p22 :rule bool-impl-elim :args (@t109 @t121)) % 0.37/0.62 (step @p23 :rule cong :premises (@p22) :args ((forall @t12 (=> @t109 @t121)))) % 0.37/0.62 (step @p24 :rule trans :premises (@p23 @p21)) % 0.37/0.62 (step @p25 :rule refl :args (@t69)) % 0.37/0.62 (step @p26 :rule refl :args (@t2)) % 0.37/0.62 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t2 @t69))) % 0.37/0.62 (step @p28 :rule symm :premises (@p27)) % 0.37/0.62 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.37/0.62 (step @p30 :rule refl :args (@t117)) % 0.37/0.62 (step @p31 :rule cong :premises (@p30 @p29) :args (@t122)) % 0.37/0.62 (step @p32 :rule cong :premises (@p30 @p29) :args (@t123)) % 0.37/0.62 (step @p33 :rule cong :premises (@p32) :args (@t124)) % 0.37/0.62 (step @p34 :rule nary_cong :premises (@p33 @p31) :args (@t125)) % 0.37/0.62 (step @p35 :rule cong :premises (@p34) :args (@t126)) % 0.37/0.62 (step @p36 :rule beta-reduce :args ((= (_ (lambda @t28 (forall @t120 (or (not (tptp.in @t117 @t23)) (tptp.subset @t117 @t23)))) @t2) @t126))) % 0.37/0.62 (step @p37 :rule trans :premises (@p36 @p35)) % 0.37/0.62 (step @p38 :rule alpha_equiv :args (@t130 @t131 @t118)) % 0.37/0.62 (step @p39 :rule cong :premises (@p38) :args (@t132)) % 0.37/0.62 (step @p40 :rule ho_cong :premises (@p39 @p26)) % 0.37/0.62 (step @p41 :rule trans :premises (@p40 @p37)) % 0.37/0.62 (step @p42 :rule aci_norm :args ((= @t134 @t107))) % 0.37/0.62 (step @p43 :rule cong :premises (@p42) :args (@t135)) % 0.37/0.62 (step @p44 :rule quant-merge-prenex :args ((= (forall @t9 @t137) @t135))) % 0.37/0.62 (step @p45 :rule alpha_equiv :args (@t138 (@list @t104) @t131)) % 0.37/0.62 (step @p46 :rule refl :args (@t93)) % 0.37/0.62 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t139)) % 0.37/0.62 (step @p48 :rule quant-miniscope-or :args ((= @t137 @t139))) % 0.37/0.62 (step @p49 :rule trans :premises (@p48 @p47)) % 0.37/0.62 (step @p50 :rule symm :premises (@p49)) % 0.37/0.62 (step @p51 :rule cong :premises (@p50) :args ((forall @t9 (or @t93 @t141)))) % 0.37/0.62 (step @p52 :rule trans :premises (@p51 @p44)) % 0.37/0.62 (step @p53 :rule trans :premises (@p52 @p43)) % 0.37/0.62 (step @p54 :rule refl :args (@t141)) % 0.37/0.62 (step @p55 :rule refl :args (@t92)) % 0.37/0.62 (step @p56 :rule refl :args (@t7)) % 0.37/0.62 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t7 @t92))) % 0.37/0.62 (step @p58 :rule symm :premises (@p57)) % 0.37/0.62 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.37/0.62 (step @p60 :rule cong :premises (@p59) :args (@t142)) % 0.37/0.62 (step @p61 :rule nary_cong :premises (@p60 @p54) :args (@t143)) % 0.37/0.62 (step @p62 :rule cong :premises (@p61) :args ((forall @t9 @t143))) % 0.37/0.62 (step @p63 :rule trans :premises (@p62 @p53)) % 0.37/0.62 (step @p64 :rule bool-impl-elim :args (@t7 @t141)) % 0.37/0.62 (step @p65 :rule cong :premises (@p64) :args ((forall @t9 (=> @t7 @t141)))) % 0.37/0.62 (step @p66 :rule trans :premises (@p65 @p63)) % 0.37/0.62 (step @p67 :rule beta-reduce :args ((= @t144 @t141))) % 0.37/0.62 (step @p68 :rule refl :args (@t7)) % 0.37/0.62 (step @p69 :rule cong :premises (@p68 @p67) :args (@t145)) % 0.37/0.62 (step @p70 :rule cong :premises (@p69) :args (@t146)) % 0.37/0.62 (step @p71 :rule trans :premises (@p70 @p66)) % 0.37/0.62 (step @p72 :rule cong :premises (@p71 @p41) :args (@t148)) % 0.37/0.62 (step @p73 :rule cong :premises (@p72) :args (@t149)) % 0.37/0.62 (step @p74 :rule trans :premises (@p73 @p24)) % 0.37/0.62 (step @p75 :rule refl :args (tptp.setunionTransitive)) % 0.37/0.62 (step @p76 :rule cong :premises (@p75 @p74) :args ((= tptp.setunionTransitive @t149))) % 0.37/0.62 (step @p77 :rule refl :args (@t2)) % 0.37/0.62 (step @p78 :rule refl :args (@t127)) % 0.37/0.62 (step @p79 :rule refl :args (@t24)) % 0.37/0.62 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t24 @t127))) % 0.37/0.62 (step @p81 :rule symm :premises (@p80)) % 0.37/0.62 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.37/0.62 (step @p83 :rule refl :args (@t128)) % 0.37/0.62 (step @p84 :rule refl :args (@t26)) % 0.37/0.62 (step @p85 :rule cong :premises (@p84 @p83) :args ((= @t26 @t128))) % 0.37/0.62 (step @p86 :rule symm :premises (@p85)) % 0.37/0.62 (step @p87 :rule eq_resolve :premises (@p84 @p86)) % 0.37/0.62 (step @p88 :rule cong :premises (@p87) :args (@t150)) % 0.37/0.62 (step @p89 :rule nary_cong :premises (@p88 @p82) :args (@t151)) % 0.37/0.62 (step @p90 :rule cong :premises (@p89) :args ((forall @t12 @t151))) % 0.37/0.62 (step @p91 :rule bool-impl-elim :args (@t26 @t24)) % 0.37/0.62 (step @p92 :rule cong :premises (@p91) :args (@t27)) % 0.37/0.62 (step @p93 :rule trans :premises (@p92 @p90)) % 0.37/0.62 (step @p94 :rule cong :premises (@p93) :args (@t29)) % 0.37/0.62 (step @p95 :rule trans :premises (@p5 @p94)) % 0.37/0.62 (step @p96 :rule ho_cong :premises (@p95 @p77)) % 0.37/0.62 (step @p97 :rule refl :args (@t4)) % 0.37/0.62 (step @p98 :rule ho_cong :premises (@p95 @p97)) % 0.37/0.62 (step @p99 :rule cong :premises (@p68 @p98) :args (@t8)) % 0.37/0.62 (step @p100 :rule cong :premises (@p99) :args (@t10)) % 0.37/0.62 (step @p101 :rule cong :premises (@p100 @p96) :args (@t11)) % 0.37/0.62 (step @p102 :rule cong :premises (@p101) :args (@t13)) % 0.37/0.62 (step @p103 :rule cong :premises (@p75 @p102) :args (@t14)) % 0.37/0.62 (step @p104 :rule trans :premises (@p103 @p76)) % 0.37/0.62 (step @p105 :rule eq_resolve :premises (@p1 @p104)) % 0.37/0.62 (step @p106 :rule cong :premises (@p105 @p9) :args (@t152)) % 0.37/0.62 (step @p107 :rule cong :premises (@p106) :args ((not @t152))) % 0.37/0.62 (step @p108 :rule aci_norm :args ((= @t154 @t98))) % 0.37/0.62 (step @p109 :rule cong :premises (@p108) :args (@t155)) % 0.37/0.62 (step @p110 :rule quant-merge-prenex :args ((= (forall @t12 @t157) @t155))) % 0.37/0.62 (step @p111 :rule alpha_equiv :args (@t158 (@list @t70) @t118)) % 0.37/0.62 (step @p112 :rule refl :args (@t97)) % 0.37/0.62 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t159)) % 0.37/0.62 (step @p114 :rule quant-miniscope-or :args ((= @t157 @t159))) % 0.37/0.62 (step @p115 :rule trans :premises (@p114 @p113)) % 0.37/0.62 (step @p116 :rule symm :premises (@p115)) % 0.37/0.62 (step @p117 :rule cong :premises (@p116) :args ((forall @t12 (or @t97 @t121)))) % 0.37/0.62 (step @p118 :rule trans :premises (@p117 @p110)) % 0.37/0.62 (step @p119 :rule trans :premises (@p118 @p109)) % 0.37/0.62 (step @p120 :rule bool-impl-elim :args (@t96 @t121)) % 0.37/0.62 (step @p121 :rule cong :premises (@p120) :args ((forall @t12 (=> @t96 @t121)))) % 0.37/0.62 (step @p122 :rule trans :premises (@p121 @p119)) % 0.37/0.62 (step @p123 :rule quant-merge-prenex :args ((= (forall @t9 @t161) @t96))) % 0.37/0.62 (step @p124 :rule alpha_equiv :args (@t162 (@list @t73) @t131)) % 0.37/0.62 (step @p125 :rule quant-unused-vars :args ((= @t163 @t162))) % 0.37/0.62 (step @p126 :rule trans :premises (@p125 @p124)) % 0.37/0.62 (step @p127 :rule alpha_equiv :args (@t164 (@list @t75 @t76) (@list @t1 @t165))) % 0.37/0.62 (step @p128 :rule quant-unused-vars :args ((= @t166 @t164))) % 0.37/0.62 (step @p129 :rule trans :premises (@p128 @p127)) % 0.37/0.62 (step @p130 :rule alpha_equiv :args (@t167 (@list @t79 @t80 @t78) (@list @t170 @t169 @t168))) % 0.37/0.62 (step @p131 :rule quant-unused-vars :args ((= @t171 @t167))) % 0.37/0.62 (step @p132 :rule trans :premises (@p131 @p130)) % 0.37/0.62 (step @p133 :rule alpha_equiv :args (@t172 (@list @t85) @t131)) % 0.37/0.62 (step @p134 :rule quant-unused-vars :args ((= @t173 @t172))) % 0.37/0.62 (step @p135 :rule trans :premises (@p134 @p133)) % 0.37/0.62 (step @p136 :rule alpha_equiv :args (@t174 (@list @t89) @t131)) % 0.37/0.62 (step @p137 :rule quant-unused-vars :args ((= @t175 @t174))) % 0.37/0.62 (step @p138 :rule trans :premises (@p137 @p136)) % 0.37/0.62 (step @p139 :rule nary_cong :premises (@p138 @p135 @p132 @p129 @p126) :args (@t176)) % 0.37/0.62 (step @p140 :rule quant-miniscope-and :args ((= @t177 @t176))) % 0.37/0.62 (step @p141 :rule trans :premises (@p140 @p139)) % 0.37/0.62 (step @p142 :rule nary_cong :premises (@p46 @p141) :args (@t178)) % 0.37/0.62 (step @p143 :rule quant-miniscope-or :args ((= @t161 @t178))) % 0.37/0.62 (step @p144 :rule trans :premises (@p143 @p142)) % 0.37/0.62 (step @p145 :rule symm :premises (@p144)) % 0.37/0.62 (step @p146 :rule cong :premises (@p145) :args ((forall @t9 (or @t93 @t198)))) % 0.37/0.62 (step @p147 :rule trans :premises (@p146 @p123)) % 0.37/0.62 (step @p148 :rule refl :args (@t198)) % 0.37/0.62 (step @p149 :rule nary_cong :premises (@p60 @p148) :args (@t199)) % 0.37/0.62 (step @p150 :rule cong :premises (@p149) :args ((forall @t9 @t199))) % 0.37/0.62 (step @p151 :rule trans :premises (@p150 @p147)) % 0.37/0.62 (step @p152 :rule bool-impl-elim :args (@t7 @t198)) % 0.37/0.62 (step @p153 :rule cong :premises (@p152) :args ((forall @t9 (=> @t7 @t198)))) % 0.37/0.62 (step @p154 :rule trans :premises (@p153 @p151)) % 0.37/0.62 (step @p155 :rule beta-reduce :args ((= @t200 @t198))) % 0.37/0.62 (step @p156 :rule cong :premises (@p68 @p155) :args (@t201)) % 0.37/0.62 (step @p157 :rule cong :premises (@p156) :args (@t202)) % 0.37/0.62 (step @p158 :rule trans :premises (@p157 @p154)) % 0.37/0.62 (step @p159 :rule cong :premises (@p158 @p41) :args (@t203)) % 0.37/0.62 (step @p160 :rule cong :premises (@p159) :args (@t204)) % 0.37/0.62 (step @p161 :rule trans :premises (@p160 @p122)) % 0.37/0.62 (step @p162 :rule cong :premises (@p75 @p161) :args (@t205)) % 0.37/0.62 (step @p163 :rule cong :premises (@p162) :args ((not @t205))) % 0.37/0.62 (step @p164 :rule aci_norm :args ((= (and @t141 @t206) @t198))) % 0.37/0.62 (step @p165 :rule beta-reduce :args ((= (_ (lambda @t28 (and (forall @t12 (or @t216 @t196 @t195)) @t213 @t210 @t207)) @t4) @t206))) % 0.37/0.62 (step @p166 :rule refl :args (@t207)) % 0.37/0.62 (step @p167 :rule refl :args (@t210)) % 0.37/0.62 (step @p168 :rule refl :args (@t213)) % 0.37/0.62 (step @p169 :rule refl :args (@t83)) % 0.37/0.62 (step @p170 :rule eq-symm :args (@t82 @t33)) % 0.37/0.62 (step @p171 :rule refl :args (@t193)) % 0.37/0.62 (step @p172 :rule nary_cong :premises (@p171 @p170 @p169) :args (@t217)) % 0.37/0.62 (step @p173 :rule cong :premises (@p172) :args (@t218)) % 0.37/0.62 (step @p174 :rule cong :premises (@p173) :args (@t219)) % 0.37/0.62 (step @p175 :rule refl :args (@t194)) % 0.37/0.62 (step @p176 :rule nary_cong :premises (@p175 @p174) :args (@t220)) % 0.37/0.62 (step @p177 :rule cong :premises (@p176) :args (@t221)) % 0.37/0.62 (step @p178 :rule cong :premises (@p177) :args (@t222)) % 0.37/0.62 (step @p179 :rule refl :args (@t196)) % 0.37/0.62 (step @p180 :rule refl :args (@t216)) % 0.37/0.62 (step @p181 :rule nary_cong :premises (@p180 @p179 @p178) :args (@t223)) % 0.37/0.62 (step @p182 :rule cong :premises (@p181) :args (@t224)) % 0.37/0.62 (step @p183 :rule nary_cong :premises (@p182 @p168 @p167 @p166) :args (@t225)) % 0.37/0.62 (step @p184 :rule cong :premises (@p183) :args ((lambda @t28 @t225))) % 0.37/0.62 (step @p185 :rule ho_cong :premises (@p184 @p97)) % 0.37/0.62 (step @p186 :rule trans :premises (@p185 @p165)) % 0.37/0.62 (step @p187 :rule refl :args (@t4)) % 0.37/0.62 (step @p188 :rule refl :args (@t207)) % 0.37/0.62 (step @p189 :rule refl :args (@t210)) % 0.37/0.62 (step @p190 :rule alpha_equiv :args (@t232 @t233 (@list @t170))) % 0.37/0.62 (step @p191 :rule alpha_equiv :args (@t237 @t233 (@list @t82))) % 0.37/0.62 (step @p192 :rule cong :premises (@p191) :args (@t238)) % 0.37/0.62 (step @p193 :rule refl :args (@t196)) % 0.37/0.62 (step @p194 :rule refl :args (@t216)) % 0.37/0.62 (step @p195 :rule nary_cong :premises (@p194 @p193 @p192) :args (@t239)) % 0.37/0.62 (step @p196 :rule cong :premises (@p195) :args (@t240)) % 0.37/0.62 (step @p197 :rule nary_cong :premises (@p196 @p190 @p189 @p188) :args (@t241)) % 0.37/0.62 (step @p198 :rule cong :premises (@p197) :args (@t242)) % 0.37/0.62 (step @p199 :rule ho_cong :premises (@p198 @p187)) % 0.37/0.62 (step @p200 :rule trans :premises (@p199 @p186)) % 0.37/0.62 (step @p201 :rule nary_cong :premises (@p67 @p200) :args ((and @t144 (_ @t242 @t4)))) % 0.37/0.62 (step @p202 :rule trans :premises (@p201 @p164)) % 0.37/0.62 (step @p203 :rule aci_norm :args ((= (and @t243 @t240) @t241))) % 0.37/0.62 (step @p204 :rule refl :args (@t238)) % 0.37/0.62 (step @p205 :rule refl :args ((tptp.in @t1 @t61))) % 0.37/0.62 (step @p206 :rule refl :args (@t214)) % 0.37/0.62 (step @p207 :rule refl :args (@t1)) % 0.37/0.62 (step @p208 :rule cong :premises (@p207 @p206) :args (@t215)) % 0.37/0.62 (step @p209 :rule trans :premises (@p208 @p205)) % 0.37/0.62 (step @p210 :rule refl :args (@t25)) % 0.37/0.62 (step @p211 :rule ho_cong :premises (@p210 @p206)) % 0.37/0.62 (step @p212 :rule cong :premises (@p211 @p209) :args ((= (_ @t25 @t214) @t215))) % 0.37/0.62 (step @p213 :rule symm :premises (@p212)) % 0.37/0.62 (step @p214 :rule refl :args (@t62)) % 0.37/0.62 (step @p215 :rule eq_resolve :premises (@p214 @p213)) % 0.37/0.62 (step @p216 :rule refl :args (@t61)) % 0.37/0.62 (step @p217 :rule cong :premises (@p216 @p206) :args ((= @t61 @t214))) % 0.37/0.62 (step @p218 :rule symm :premises (@p217)) % 0.37/0.62 (step @p219 :rule eq_resolve :premises (@p216 @p218)) % 0.37/0.62 (step @p220 :rule ho_cong :premises (@p210 @p219)) % 0.37/0.62 (step @p221 :rule trans :premises (@p220 @p215)) % 0.37/0.62 (step @p222 :rule cong :premises (@p221) :args (@t244)) % 0.37/0.62 (step @p223 :rule nary_cong :premises (@p222 @p193 @p204) :args (@t245)) % 0.37/0.62 (step @p224 :rule cong :premises (@p223) :args ((forall @t12 @t245))) % 0.37/0.62 (step @p225 :rule aci_norm :args ((= (or @t244 (or @t196 @t238)) @t245))) % 0.37/0.62 (step @p226 :rule bool-double-not-elim :args (@t196)) % 0.37/0.62 (step @p227 :rule nary_cong :premises (@p226 @p204) :args ((or (not @t246) @t238))) % 0.37/0.62 (step @p228 :rule bool-impl-elim :args (@t246 @t238)) % 0.37/0.62 (step @p229 :rule trans :premises (@p228 @p227)) % 0.37/0.62 (step @p230 :rule refl :args (@t244)) % 0.37/0.62 (step @p231 :rule nary_cong :premises (@p230 @p229) :args ((or @t244 @t247))) % 0.37/0.62 (step @p232 :rule trans :premises (@p231 @p225)) % 0.37/0.62 (step @p233 :rule bool-impl-elim :args (@t62 @t247)) % 0.37/0.62 (step @p234 :rule trans :premises (@p233 @p232)) % 0.37/0.62 (step @p235 :rule cong :premises (@p234) :args ((forall @t12 (=> @t62 @t247)))) % 0.37/0.62 (step @p236 :rule trans :premises (@p235 @p224)) % 0.37/0.62 (step @p237 :rule refl :args (@t236)) % 0.37/0.62 (step @p238 :rule nary_cong :premises (@p60 @p237) :args (@t248)) % 0.37/0.62 (step @p239 :rule cong :premises (@p238) :args ((forall @t9 @t248))) % 0.37/0.62 (step @p240 :rule bool-and-de-morgan :args (@t7 @t235 true)) % 0.37/0.62 (step @p241 :rule cong :premises (@p240) :args (@t250)) % 0.37/0.62 (step @p242 :rule trans :premises (@p241 @p239)) % 0.37/0.62 (step @p243 :rule cong :premises (@p242) :args (@t251)) % 0.37/0.62 (step @p244 :rule exists-elim :args ((= (exists @t9 @t249) @t251))) % 0.37/0.62 (step @p245 :rule trans :premises (@p244 @p243)) % 0.37/0.62 (step @p246 :rule refl :args (@t234)) % 0.37/0.62 (step @p247 :rule refl :args (@t44)) % 0.37/0.62 (step @p248 :rule cong :premises (@p247 @p246) :args ((= @t44 @t234))) % 0.37/0.62 (step @p249 :rule symm :premises (@p248)) % 0.37/0.62 (step @p250 :rule eq_resolve :premises (@p247 @p249)) % 0.37/0.62 (step @p251 :rule refl :args (@t55)) % 0.37/0.62 (step @p252 :rule refl :args (@t192)) % 0.37/0.62 (step @p253 :rule refl :args (@t35)) % 0.37/0.62 (step @p254 :rule cong :premises (@p253 @p252) :args ((= @t35 @t192))) % 0.37/0.62 (step @p255 :rule symm :premises (@p254)) % 0.37/0.62 (step @p256 :rule eq_resolve :premises (@p253 @p255)) % 0.37/0.62 (step @p257 :rule cong :premises (@p256) :args (@t252)) % 0.37/0.62 (step @p258 :rule nary_cong :premises (@p257 @p251 @p250) :args (@t253)) % 0.37/0.62 (step @p259 :rule cong :premises (@p258) :args ((forall @t40 @t253))) % 0.37/0.62 (step @p260 :rule aci_norm :args ((= (or @t252 @t56) @t253))) % 0.37/0.62 (step @p261 :rule bool-impl-elim :args (@t35 @t56)) % 0.37/0.62 (step @p262 :rule trans :premises (@p261 @p260)) % 0.37/0.62 (step @p263 :rule cong :premises (@p262) :args (@t57)) % 0.37/0.62 (step @p264 :rule trans :premises (@p263 @p259)) % 0.37/0.62 (step @p265 :rule nary_cong :premises (@p68 @p264) :args (@t58)) % 0.37/0.62 (step @p266 :rule cong :premises (@p265) :args (@t59)) % 0.37/0.62 (step @p267 :rule trans :premises (@p266 @p245)) % 0.37/0.62 (step @p268 :rule beta-reduce :args ((= @t254 @t246))) % 0.37/0.62 (step @p269 :rule cong :premises (@p268 @p267) :args (@t255)) % 0.37/0.62 (step @p270 :rule refl :args (@t62)) % 0.37/0.62 (step @p271 :rule cong :premises (@p270 @p269) :args (@t256)) % 0.37/0.62 (step @p272 :rule cong :premises (@p271) :args (@t257)) % 0.37/0.62 (step @p273 :rule trans :premises (@p272 @p236)) % 0.37/0.62 (step @p274 :rule beta-reduce :args ((= @t258 @t243))) % 0.37/0.62 (step @p275 :rule nary_cong :premises (@p274 @p273) :args ((and @t258 @t257))) % 0.37/0.62 (step @p276 :rule trans :premises (@p275 @p203)) % 0.37/0.62 (step @p277 :rule refl :args (@t59)) % 0.37/0.62 (step @p278 :rule refl :args (@t1)) % 0.37/0.62 (step @p279 :rule eq-symm :args (@t4 tptp.emptyset)) % 0.37/0.62 (step @p280 :rule cong :premises (@p279) :args (@t21)) % 0.37/0.62 (step @p281 :rule cong :premises (@p280) :args (@t22)) % 0.37/0.62 (step @p282 :rule trans :premises (@p4 @p281)) % 0.37/0.62 (step @p283 :rule ho_cong :premises (@p282 @p278)) % 0.37/0.62 (step @p284 :rule cong :premises (@p283 @p277) :args (@t60)) % 0.37/0.62 (step @p285 :rule cong :premises (@p270 @p284) :args (@t63)) % 0.37/0.62 (step @p286 :rule cong :premises (@p285) :args (@t64)) % 0.37/0.62 (step @p287 :rule refl :args (@t23)) % 0.37/0.62 (step @p288 :rule refl :args (@t179)) % 0.37/0.62 (step @p289 :rule refl :args (@t30)) % 0.37/0.62 (step @p290 :rule cong :premises (@p289 @p288) :args ((= @t30 @t179))) % 0.37/0.62 (step @p291 :rule symm :premises (@p290)) % 0.37/0.62 (step @p292 :rule eq_resolve :premises (@p289 @p291)) % 0.37/0.62 (step @p293 :rule cong :premises (@p292) :args (@t31)) % 0.37/0.62 (step @p294 :rule nary_cong :premises (@p88 @p293) :args (@t259)) % 0.37/0.62 (step @p295 :rule cong :premises (@p294) :args ((forall @t12 @t259))) % 0.37/0.62 (step @p296 :rule bool-impl-elim :args (@t26 @t31)) % 0.37/0.62 (step @p297 :rule cong :premises (@p296) :args (@t32)) % 0.37/0.62 (step @p298 :rule trans :premises (@p297 @p295)) % 0.37/0.62 (step @p299 :rule aci_norm :args ((= @t261 @t209))) % 0.37/0.62 (step @p300 :rule cong :premises (@p299) :args (@t262)) % 0.37/0.62 (step @p301 :rule quant-merge-prenex :args ((= (forall @t12 @t264) @t262))) % 0.37/0.62 (step @p302 :rule alpha_equiv :args (@t265 (@list @t165) @t266)) % 0.37/0.62 (step @p303 :rule refl :args (@t129)) % 0.37/0.62 (step @p304 :rule nary_cong :premises (@p303 @p302) :args (@t267)) % 0.37/0.62 (step @p305 :rule quant-miniscope-or :args ((= @t264 @t267))) % 0.37/0.62 (step @p306 :rule trans :premises (@p305 @p304)) % 0.37/0.62 (step @p307 :rule symm :premises (@p306)) % 0.37/0.62 (step @p308 :rule cong :premises (@p307) :args ((forall @t12 (or @t129 @t271)))) % 0.37/0.62 (step @p309 :rule trans :premises (@p308 @p301)) % 0.37/0.62 (step @p310 :rule trans :premises (@p309 @p300)) % 0.37/0.62 (step @p311 :rule refl :args (@t271)) % 0.37/0.62 (step @p312 :rule nary_cong :premises (@p88 @p311) :args (@t272)) % 0.37/0.62 (step @p313 :rule cong :premises (@p312) :args ((forall @t12 @t272))) % 0.37/0.62 (step @p314 :rule trans :premises (@p313 @p310)) % 0.37/0.62 (step @p315 :rule bool-impl-elim :args (@t26 @t271)) % 0.37/0.62 (step @p316 :rule cong :premises (@p315) :args ((forall @t12 (=> @t26 @t271)))) % 0.37/0.62 (step @p317 :rule trans :premises (@p316 @p314)) % 0.37/0.62 (step @p318 :rule refl :args (@t268)) % 0.37/0.62 (step @p319 :rule refl :args (@t36)) % 0.37/0.62 (step @p320 :rule cong :premises (@p319 @p318) :args ((= @t36 @t268))) % 0.37/0.62 (step @p321 :rule symm :premises (@p320)) % 0.37/0.62 (step @p322 :rule eq_resolve :premises (@p319 @p321)) % 0.37/0.62 (step @p323 :rule refl :args (@t37)) % 0.37/0.62 (step @p324 :rule refl :args (@t269)) % 0.37/0.62 (step @p325 :rule refl :args (@t39)) % 0.37/0.62 (step @p326 :rule cong :premises (@p325 @p324) :args ((= @t39 @t269))) % 0.37/0.62 (step @p327 :rule symm :premises (@p326)) % 0.37/0.62 (step @p328 :rule eq_resolve :premises (@p325 @p327)) % 0.37/0.62 (step @p329 :rule cong :premises (@p328) :args (@t273)) % 0.37/0.62 (step @p330 :rule nary_cong :premises (@p329 @p323 @p322 @p256) :args (@t274)) % 0.37/0.62 (step @p331 :rule cong :premises (@p330) :args ((forall @t40 @t274))) % 0.37/0.62 (step @p332 :rule aci_norm :args ((= (or @t273 @t38) @t274))) % 0.37/0.62 (step @p333 :rule bool-impl-elim :args (@t39 @t38)) % 0.37/0.62 (step @p334 :rule trans :premises (@p333 @p332)) % 0.37/0.62 (step @p335 :rule cong :premises (@p334) :args (@t41)) % 0.37/0.62 (step @p336 :rule trans :premises (@p335 @p331)) % 0.37/0.62 (step @p337 :rule refl :args (@t26)) % 0.37/0.62 (step @p338 :rule cong :premises (@p337 @p336) :args (@t42)) % 0.37/0.62 (step @p339 :rule cong :premises (@p338) :args (@t43)) % 0.37/0.62 (step @p340 :rule trans :premises (@p339 @p317)) % 0.37/0.62 (step @p341 :rule aci_norm :args ((= @t276 @t230))) % 0.37/0.62 (step @p342 :rule cong :premises (@p341) :args (@t277)) % 0.37/0.62 (step @p343 :rule quant-merge-prenex :args ((= (forall @t9 @t279) @t277))) % 0.37/0.62 (step @p344 :rule alpha_equiv :args (@t280 (@list @t169 @t168) (@list @t1 @t281))) % 0.37/0.62 (step @p345 :rule refl :args (@t229)) % 0.37/0.62 (step @p346 :rule nary_cong :premises (@p345 @p344) :args (@t282)) % 0.37/0.62 (step @p347 :rule quant-miniscope-or :args ((= @t279 @t282))) % 0.37/0.62 (step @p348 :rule trans :premises (@p347 @p346)) % 0.37/0.62 (step @p349 :rule symm :premises (@p348)) % 0.37/0.62 (step @p350 :rule cong :premises (@p349) :args ((forall @t9 (or @t229 @t288)))) % 0.37/0.62 (step @p351 :rule trans :premises (@p350 @p343)) % 0.37/0.62 (step @p352 :rule trans :premises (@p351 @p342)) % 0.37/0.62 (step @p353 :rule refl :args (@t288)) % 0.37/0.62 (step @p354 :rule refl :args (@t228)) % 0.37/0.62 (step @p355 :rule refl :args (@t50)) % 0.37/0.62 (step @p356 :rule cong :premises (@p355 @p354) :args ((= @t50 @t228))) % 0.37/0.62 (step @p357 :rule symm :premises (@p356)) % 0.37/0.62 (step @p358 :rule eq_resolve :premises (@p355 @p357)) % 0.37/0.62 (step @p359 :rule cong :premises (@p358) :args (@t289)) % 0.37/0.62 (step @p360 :rule nary_cong :premises (@p359 @p353) :args (@t290)) % 0.37/0.62 (step @p361 :rule cong :premises (@p360) :args ((forall @t9 @t290))) % 0.37/0.62 (step @p362 :rule trans :premises (@p361 @p352)) % 0.37/0.62 (step @p363 :rule bool-impl-elim :args (@t50 @t288)) % 0.37/0.62 (step @p364 :rule cong :premises (@p363) :args ((forall @t9 (=> @t50 @t288)))) % 0.37/0.62 (step @p365 :rule trans :premises (@p364 @p362)) % 0.37/0.62 (step @p366 :rule aci_norm :args ((= @t292 @t286))) % 0.37/0.62 (step @p367 :rule cong :premises (@p366) :args (@t293)) % 0.37/0.62 (step @p368 :rule quant-merge-prenex :args ((= (forall @t12 @t295) @t293))) % 0.37/0.62 (step @p369 :rule alpha_equiv :args (@t296 (@list @t281) @t266)) % 0.37/0.62 (step @p370 :rule nary_cong :premises (@p303 @p46 @p369) :args (@t297)) % 0.37/0.62 (step @p371 :rule quant-miniscope-or :args ((= @t295 @t297))) % 0.37/0.62 (step @p372 :rule trans :premises (@p371 @p370)) % 0.37/0.62 (step @p373 :rule symm :premises (@p372)) % 0.37/0.62 (step @p374 :rule cong :premises (@p373) :args ((forall @t12 (or @t129 @t93 @t298)))) % 0.37/0.62 (step @p375 :rule trans :premises (@p374 @p368)) % 0.37/0.62 (step @p376 :rule trans :premises (@p375 @p367)) % 0.37/0.62 (step @p377 :rule refl :args (@t298)) % 0.37/0.62 (step @p378 :rule nary_cong :premises (@p88 @p60 @p377) :args (@t299)) % 0.37/0.62 (step @p379 :rule cong :premises (@p378) :args ((forall @t12 @t299))) % 0.37/0.62 (step @p380 :rule trans :premises (@p379 @p376)) % 0.37/0.62 (step @p381 :rule aci_norm :args ((= (or @t150 @t300) @t299))) % 0.37/0.62 (step @p382 :rule bool-impl-elim :args (@t26 @t300)) % 0.37/0.62 (step @p383 :rule trans :premises (@p382 @p381)) % 0.37/0.62 (step @p384 :rule cong :premises (@p383) :args ((forall @t12 (=> @t26 @t300)))) % 0.37/0.62 (step @p385 :rule trans :premises (@p384 @p380)) % 0.37/0.62 (step @p386 :rule cong :premises (@p322) :args (@t301)) % 0.37/0.62 (step @p387 :rule nary_cong :premises (@p329 @p386 @p250) :args (@t302)) % 0.37/0.62 (step @p388 :rule cong :premises (@p387) :args (@t303)) % 0.37/0.62 (step @p389 :rule refl :args (@t142)) % 0.37/0.62 (step @p390 :rule nary_cong :premises (@p389 @p388) :args (@t304)) % 0.37/0.62 (step @p391 :rule quant-miniscope-or :args ((= (forall @t40 @t305) @t304))) % 0.37/0.62 (step @p392 :rule aci_norm :args ((= @t306 @t305))) % 0.37/0.62 (step @p393 :rule cong :premises (@p392) :args ((forall @t40 @t306))) % 0.37/0.62 (step @p394 :rule trans :premises (@p393 @p391)) % 0.37/0.62 (step @p395 :rule trans :premises (@p394 @p390)) % 0.37/0.62 (step @p396 :rule aci_norm :args ((= (or @t273 @t307) @t306))) % 0.37/0.62 (step @p397 :rule aci_norm :args ((= (or (or @t142 @t301) @t44) @t307))) % 0.37/0.62 (step @p398 :rule bool-and-de-morgan :args (@t7 @t36 true)) % 0.37/0.62 (step @p399 :rule nary_cong :premises (@p398 @p247) :args ((or (not @t45) @t44))) % 0.37/0.62 (step @p400 :rule trans :premises (@p399 @p397)) % 0.37/0.62 (step @p401 :rule bool-impl-elim :args (@t45 @t44)) % 0.37/0.62 (step @p402 :rule trans :premises (@p401 @p400)) % 0.37/0.62 (step @p403 :rule refl :args (@t273)) % 0.37/0.62 (step @p404 :rule nary_cong :premises (@p403 @p402) :args ((or @t273 @t46))) % 0.37/0.62 (step @p405 :rule trans :premises (@p404 @p396)) % 0.37/0.62 (step @p406 :rule bool-impl-elim :args (@t39 @t46)) % 0.37/0.62 (step @p407 :rule trans :premises (@p406 @p405)) % 0.37/0.62 (step @p408 :rule cong :premises (@p407) :args (@t47)) % 0.37/0.62 (step @p409 :rule trans :premises (@p408 @p395)) % 0.37/0.62 (step @p410 :rule cong :premises (@p337 @p409) :args (@t48)) % 0.37/0.62 (step @p411 :rule cong :premises (@p410) :args (@t49)) % 0.37/0.62 (step @p412 :rule trans :premises (@p411 @p385)) % 0.37/0.62 (step @p413 :rule refl :args (@t50)) % 0.37/0.62 (step @p414 :rule cong :premises (@p413 @p412) :args (@t51)) % 0.37/0.62 (step @p415 :rule cong :premises (@p414) :args (@t52)) % 0.37/0.62 (step @p416 :rule trans :premises (@p415 @p365)) % 0.37/0.62 (step @p417 :rule nary_cong :premises (@p416 @p340 @p298) :args (@t53)) % 0.37/0.62 (step @p418 :rule cong :premises (@p417) :args (@t54)) % 0.37/0.62 (step @p419 :rule trans :premises (@p6 @p418)) % 0.37/0.62 (step @p420 :rule ho_cong :premises (@p419 @p287)) % 0.37/0.62 (step @p421 :rule nary_cong :premises (@p420 @p286) :args (@t65)) % 0.37/0.62 (step @p422 :rule trans :premises (@p421 @p276)) % 0.37/0.62 (step @p423 :rule cong :premises (@p422) :args (@t66)) % 0.37/0.62 (step @p424 :rule trans :premises (@p7 @p423)) % 0.37/0.62 (step @p425 :rule ho_cong :premises (@p424 @p97)) % 0.37/0.62 (step @p426 :rule nary_cong :premises (@p98 @p425) :args (@t67)) % 0.37/0.62 (step @p427 :rule trans :premises (@p426 @p202)) % 0.37/0.62 (step @p428 :rule cong :premises (@p427) :args (@t68)) % 0.37/0.62 (step @p429 :rule trans :premises (@p8 @p428)) % 0.37/0.62 (step @p430 :rule ho_cong :premises (@p429 @p97)) % 0.37/0.62 (step @p431 :rule cong :premises (@p68 @p430) :args (@t15)) % 0.37/0.62 (step @p432 :rule cong :premises (@p431) :args (@t16)) % 0.37/0.62 (step @p433 :rule cong :premises (@p432 @p96) :args (@t17)) % 0.37/0.62 (step @p434 :rule cong :premises (@p433) :args (@t18)) % 0.37/0.62 (step @p435 :rule cong :premises (@p75 @p434) :args (@t19)) % 0.37/0.62 (step @p436 :rule cong :premises (@p435) :args (@t20)) % 0.37/0.62 (step @p437 :rule trans :premises (@p436 @p163)) % 0.37/0.62 (step @p438 :rule trans :premises (@p437 @p107)) % 0.37/0.62 (step @p439 :rule eq_resolve :premises (@p2 @p438)) % 0.37/0.62 (step @p440 :rule not_implies_elim1 :premises (@p439)) % 0.37/0.62 (step @p441 :rule instantiate :premises (@p440) :args ((@list @t309 @t308))) % 0.37/0.62 (step @p442 :rule not_implies_elim2 :premises (@p439)) % 0.37/0.62 (step @p443 :rule skolemize :premises (@p442)) % 0.37/0.62 (step @p444 :rule cnf_or_neg :args (@t317 2)) % 0.37/0.62 (step @p445 :rule chain_m_resolution :premises (@p444 @p443) :args ((not @t311) @t318 @t319)) % 0.37/0.62 (step @p446 :rule bool-double-not-elim :args (@t312)) % 0.37/0.62 (step @p447 :rule refl :args (@t317)) % 0.37/0.62 (step @p448 :rule nary_cong :premises (@p447 @p446) :args ((or @t317 (not @t313)))) % 0.37/0.62 (step @p449 :rule cnf_or_neg :args (@t317 1)) % 0.37/0.62 (step @p450 :rule eq_resolve :premises (@p449 @p448)) % 0.37/0.62 (step @p451 :rule reordering :premises (@p450) :args ((or @t312 @t317))) % 0.37/0.62 (step @p452 :rule chain_m_resolution :premises (@p451 @p443) :args (@t312 @t318 @t319)) % 0.37/0.62 (step @p453 :rule cnf_or_pos :args (@t322)) % 0.37/0.62 (step @p454 :rule reordering :premises (@p453) :args ((or @t313 @t311 @t321 (not @t322)))) % 0.37/0.62 (step @p455 :rule chain_m_resolution :premises (@p454 @p452 @p445 @p441) :args (@t321 (@list false true false) (@list @t312 @t311 @t322))) % 0.37/0.62 (step @p456 :rule skolemize :premises (@p455)) % 0.37/0.62 (step @p457 :rule bool-double-not-elim :args (@t324)) % 0.37/0.62 (step @p458 :rule refl :args (@t330)) % 0.37/0.62 (step @p459 :rule nary_cong :premises (@p458 @p457) :args ((or @t330 (not @t329)))) % 0.37/0.62 (step @p460 :rule cnf_or_neg :args (@t330 0)) % 0.37/0.62 (step @p461 :rule eq_resolve :premises (@p460 @p459)) % 0.37/0.62 (step @p462 :rule reordering :premises (@p461) :args ((or @t324 @t330))) % 0.37/0.62 (step @p463 :rule chain_m_resolution :premises (@p462 @p456) :args (@t324 @t318 @t331)) % 0.37/0.62 (step @p464 :rule bool-double-not-elim :args (@t315)) % 0.37/0.62 (step @p465 :rule nary_cong :premises (@p447 @p464) :args ((or @t317 (not @t316)))) % 0.37/0.62 (step @p466 :rule cnf_or_neg :args (@t317 0)) % 0.37/0.62 (step @p467 :rule eq_resolve :premises (@p466 @p465)) % 0.37/0.62 (step @p468 :rule reordering :premises (@p467) :args ((or @t315 @t317))) % 0.37/0.62 (step @p469 :rule chain_m_resolution :premises (@p468 @p443) :args (@t315 @t318 @t319)) % 0.37/0.62 (step @p470 :rule aci_norm :args ((= (and @t338 @t337 @t336 true @t335) @t339))) % 0.37/0.62 (step @p471 :rule refl :args (@t335)) % 0.37/0.62 (step @p472 :rule absorb :args ((= (or @t334 @t334 true @t332 @t332) true))) % 0.37/0.62 (step @p473 :rule refl :args (@t332)) % 0.37/0.62 (step @p474 :rule eq-refl :args (@t309)) % 0.37/0.62 (step @p475 :rule refl :args (@t334)) % 0.37/0.62 (step @p476 :rule nary_cong :premises (@p475 @p475 @p474 @p473 @p473) :args (@t340)) % 0.37/0.62 (step @p477 :rule trans :premises (@p476 @p472)) % 0.37/0.62 (step @p478 :rule refl :args (@t336)) % 0.37/0.62 (step @p479 :rule refl :args (@t337)) % 0.37/0.62 (step @p480 :rule refl :args (@t338)) % 0.37/0.62 (step @p481 :rule nary_cong :premises (@p480 @p479 @p478 @p477 @p471) :args (@t341)) % 0.37/0.62 (step @p482 :rule trans :premises (@p481 @p470)) % 0.37/0.62 (step @p483 :rule refl :args (@t329)) % 0.37/0.62 (step @p484 :rule nary_cong :premises (@p483 @p482) :args (@t342)) % 0.37/0.62 (step @p485 :rule refl :args (@t315)) % 0.37/0.62 (step @p486 :rule cong :premises (@p485 @p484) :args ((=> @t315 @t342))) % 0.37/0.62 (assume-push @p511 @t315) % 0.37/0.62 (step @p488 :rule instantiate :premises (@p469) :args ((@list @t323 @t325 @t309 @t309 @t309 @t309 @t309 @t309 @t309))) % 0.37/0.62 (step-pop @p512 :rule scope :premises (@p488)) % 0.37/0.62 (step @p489 :rule process_scope :premises (@p512) :args (@t342)) % 0.37/0.62 (step @p491 :rule eq_resolve :premises (@p489 @p486)) % 0.37/0.62 (step @p492 :rule implies_elim :premises (@p491)) % 0.37/0.62 (step @p493 :rule chain_m_resolution :premises (@p492 @p469) :args (@t343 (@list false) (@list @t315))) % 0.37/0.62 (step @p494 :rule cnf_or_neg :args (@t330 2)) % 0.37/0.62 (step @p495 :rule chain_m_resolution :premises (@p494 @p456) :args ((not @t326) @t318 @t331)) % 0.37/0.62 (step @p496 :rule bool-double-not-elim :args (@t327)) % 0.37/0.62 (step @p497 :rule nary_cong :premises (@p458 @p496) :args ((or @t330 (not @t328)))) % 0.37/0.62 (step @p498 :rule cnf_or_neg :args (@t330 1)) % 0.37/0.62 (step @p499 :rule eq_resolve :premises (@p498 @p497)) % 0.37/0.62 (step @p500 :rule reordering :premises (@p499) :args ((or @t327 @t330))) % 0.37/0.62 (step @p501 :rule chain_m_resolution :premises (@p500 @p456) :args (@t327 @t318 @t331)) % 0.37/0.62 (step @p502 :rule cnf_or_pos :args (@t338)) % 0.37/0.62 (step @p503 :rule reordering :premises (@p502) :args ((or @t328 @t326 @t344))) % 0.37/0.62 (step @p504 :rule chain_m_resolution :premises (@p503 @p501 @p495) :args (@t344 (@list false true) (@list @t327 @t326))) % 0.37/0.62 (step @p505 :rule cnf_and_pos :args (@t339 0)) % 0.37/0.62 (step @p506 :rule reordering :premises (@p505) :args ((or @t338 @t345))) % 0.37/0.62 (step @p507 :rule chain_m_resolution :premises (@p506 @p504) :args (@t345 @t318 (@list @t338))) % 0.37/0.62 (step @p508 :rule cnf_or_pos :args (@t343)) % 0.37/0.62 (step @p509 :rule reordering :premises (@p508) :args ((or @t329 @t339 (not @t343)))) % 0.37/0.62 (step @p510 false :rule chain_m_resolution :premises (@p509 @p507 @p493 @p463) :args (false (@list true false false) (@list @t339 @t343 @t324))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------