%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU818^2 : 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 : n011.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 0.37s 0.62s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU818^2 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:53:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----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.ordinalTransSet Bool) % 0.37/0.62 (declare-const tptp.subsetI1 Bool) % 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 "B" $$unsorted)) % 0.37/0.62 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.62 (define @t3 () (_ tptp.subset @t2)) % 0.37/0.62 (define @t4 () (_ @t3 @t1)) % 0.37/0.62 (define @t5 () (@var "Xx" $$unsorted)) % 0.37/0.62 (define @t6 () (_ tptp.in @t5)) % 0.37/0.62 (define @t7 () (_ @t6 @t1)) % 0.37/0.62 (define @t8 () (_ @t6 @t2)) % 0.37/0.62 (define @t9 () (@list @t5)) % 0.37/0.62 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.37/0.62 (define @t11 () (=> @t10 @t4)) % 0.37/0.62 (define @t12 () (@list @t2 @t1)) % 0.37/0.62 (define @t13 () (forall @t12 @t11)) % 0.37/0.62 (define @t14 () (= tptp.subsetI1 @t13)) % 0.37/0.62 (define @t15 () (@var "X" $$unsorted)) % 0.37/0.62 (define @t16 () (_ @t6 @t15)) % 0.37/0.62 (define @t17 () (=> @t8 @t16)) % 0.37/0.62 (define @t18 () (_ (_ tptp.in @t2) @t15)) % 0.37/0.62 (define @t19 () (@list @t5 @t2)) % 0.37/0.62 (define @t20 () (forall @t19 (=> @t18 @t17))) % 0.37/0.62 (define @t21 () (_ tptp.ordinal @t15)) % 0.37/0.62 (define @t22 () (=> @t21 @t20)) % 0.37/0.62 (define @t23 () (@list @t15)) % 0.37/0.62 (define @t24 () (forall @t23 @t22)) % 0.37/0.62 (define @t25 () (= tptp.ordinalTransSet @t24)) % 0.37/0.62 (define @t26 () (_ @t3 @t15)) % 0.37/0.62 (define @t27 () (@list @t2)) % 0.37/0.62 (define @t28 () (forall @t27 (=> @t18 @t26))) % 0.37/0.62 (define @t29 () (=> @t21 @t28)) % 0.37/0.62 (define @t30 () (forall @t23 @t29)) % 0.37/0.62 (define @t31 () (=> tptp.ordinalTransSet @t30)) % 0.37/0.62 (define @t32 () (=> tptp.subsetI1 @t31)) % 0.37/0.62 (define @t33 () (not @t32)) % 0.37/0.62 (define @t34 () (not (= @t5 tptp.emptyset))) % 0.37/0.62 (define @t35 () (lambda @t9 @t34)) % 0.37/0.62 (define @t36 () (_ (_ tptp.subset @t15) @t2)) % 0.37/0.62 (define @t37 () (_ tptp.in @t15)) % 0.37/0.62 (define @t38 () (_ @t37 @t2)) % 0.37/0.62 (define @t39 () (forall @t23 (=> @t38 @t36))) % 0.37/0.62 (define @t40 () (lambda @t27 @t39)) % 0.37/0.62 (define @t41 () (_ @t37 @t15)) % 0.37/0.62 (define @t42 () (not @t41)) % 0.37/0.62 (define @t43 () (forall @t23 (=> @t38 @t42))) % 0.37/0.62 (define @t44 () (@var "Y" $$unsorted)) % 0.37/0.62 (define @t45 () (_ tptp.in @t44)) % 0.37/0.62 (define @t46 () (_ @t45 @t15)) % 0.37/0.62 (define @t47 () (_ @t37 @t44)) % 0.37/0.62 (define @t48 () (= @t15 @t44)) % 0.37/0.62 (define @t49 () (or @t48 @t47 @t46)) % 0.37/0.62 (define @t50 () (_ @t45 @t2)) % 0.37/0.62 (define @t51 () (@list @t44)) % 0.37/0.62 (define @t52 () (forall @t51 (=> @t50 @t49))) % 0.37/0.62 (define @t53 () (=> @t38 @t52)) % 0.37/0.62 (define @t54 () (forall @t23 @t53)) % 0.37/0.62 (define @t55 () (_ @t6 @t44)) % 0.37/0.62 (define @t56 () (and @t16 @t47)) % 0.37/0.62 (define @t57 () (=> @t56 @t55)) % 0.37/0.62 (define @t58 () (forall @t51 (=> @t50 @t57))) % 0.37/0.62 (define @t59 () (=> @t38 @t58)) % 0.37/0.62 (define @t60 () (forall @t23 @t59)) % 0.37/0.62 (define @t61 () (=> @t8 @t60)) % 0.37/0.62 (define @t62 () (forall @t9 @t61)) % 0.37/0.62 (define @t63 () (and @t62 @t54 @t43)) % 0.37/0.62 (define @t64 () (lambda @t27 @t63)) % 0.37/0.62 (define @t65 () (= @t5 @t44)) % 0.37/0.62 (define @t66 () (or @t65 @t55)) % 0.37/0.62 (define @t67 () (forall @t51 (=> @t46 @t66))) % 0.37/0.62 (define @t68 () (and @t16 @t67)) % 0.37/0.62 (define @t69 () (exists @t9 @t68)) % 0.37/0.62 (define @t70 () (=> (_ tptp.nonempty @t15) @t69)) % 0.37/0.62 (define @t71 () (_ tptp.powerset @t2)) % 0.37/0.62 (define @t72 () (_ @t37 @t71)) % 0.37/0.62 (define @t73 () (=> @t72 @t70)) % 0.37/0.62 (define @t74 () (forall @t23 @t73)) % 0.37/0.62 (define @t75 () (and (_ tptp.stricttotalorderedByIn @t2) @t74)) % 0.37/0.62 (define @t76 () (lambda @t27 @t75)) % 0.37/0.62 (define @t77 () (and (_ tptp.transitiveset @t5) (_ tptp.wellorderedByIn @t5))) % 0.37/0.62 (define @t78 () (lambda @t9 @t77)) % 0.37/0.62 (define @t79 () (@var "BOUND_VARIABLE_7945" $$unsorted)) % 0.37/0.62 (define @t80 () (tptp.subset @t79 @t15)) % 0.37/0.62 (define @t81 () (not (tptp.in @t79 @t15))) % 0.37/0.62 (define @t82 () (@var "BOUND_VARIABLE_7812" $$unsorted)) % 0.37/0.62 (define @t83 () (not (tptp.in @t82 @t82))) % 0.37/0.62 (define @t84 () (@list @t82)) % 0.37/0.62 (define @t85 () (forall @t84 (or (not (tptp.in @t82 @t15)) @t83))) % 0.37/0.62 (define @t86 () (not @t85)) % 0.37/0.62 (define @t87 () (@var "BOUND_VARIABLE_7821" $$unsorted)) % 0.37/0.62 (define @t88 () (@var "BOUND_VARIABLE_7580" $$unsorted)) % 0.37/0.62 (define @t89 () (tptp.in @t88 @t87)) % 0.37/0.62 (define @t90 () (tptp.in @t87 @t88)) % 0.37/0.62 (define @t91 () (= @t88 @t87)) % 0.37/0.62 (define @t92 () (tptp.in @t88 @t15)) % 0.37/0.62 (define @t93 () (@list @t87 @t88)) % 0.37/0.62 (define @t94 () (forall @t93 (or (not (tptp.in @t87 @t15)) (not @t92) @t91 @t90 @t89))) % 0.37/0.62 (define @t95 () (not @t94)) % 0.37/0.62 (define @t96 () (@var "BOUND_VARIABLE_7552" $$unsorted)) % 0.37/0.62 (define @t97 () (@var "BOUND_VARIABLE_7688" $$unsorted)) % 0.37/0.62 (define @t98 () (tptp.in @t97 @t96)) % 0.37/0.62 (define @t99 () (@var "BOUND_VARIABLE_7550" $$unsorted)) % 0.37/0.62 (define @t100 () (not (tptp.in @t99 @t96))) % 0.37/0.62 (define @t101 () (not (tptp.in @t97 @t99))) % 0.37/0.62 (define @t102 () (@list @t97 @t99 @t96)) % 0.37/0.62 (define @t103 () (forall @t102 (or (not (tptp.in @t97 @t15)) (not (tptp.in @t99 @t15)) @t101 (not (tptp.in @t96 @t15)) @t100 @t98))) % 0.37/0.62 (define @t104 () (not @t103)) % 0.37/0.62 (define @t105 () (@var "BOUND_VARIABLE_7698" $$unsorted)) % 0.37/0.62 (define @t106 () (tptp.in @t105 @t44)) % 0.37/0.62 (define @t107 () (= @t44 @t105)) % 0.37/0.62 (define @t108 () (@var "BOUND_VARIABLE_7831" $$unsorted)) % 0.37/0.62 (define @t109 () (@list @t105)) % 0.37/0.62 (define @t110 () (not (forall @t109 (or (not (tptp.in @t105 @t108)) (not (forall @t51 (or (not (tptp.in @t44 @t108)) @t107 @t106))))))) % 0.37/0.62 (define @t111 () (= tptp.emptyset @t108)) % 0.37/0.62 (define @t112 () (@list @t108)) % 0.37/0.62 (define @t113 () (forall @t112 (or (not (tptp.in @t108 (tptp.powerset @t15))) @t111 @t110))) % 0.37/0.62 (define @t114 () (not @t113)) % 0.37/0.62 (define @t115 () (@var "BOUND_VARIABLE_7849" $$unsorted)) % 0.37/0.62 (define @t116 () (@list @t115)) % 0.37/0.62 (define @t117 () (forall @t116 (or (not (tptp.in @t115 @t15)) (tptp.subset @t115 @t15)))) % 0.37/0.62 (define @t118 () (not @t117)) % 0.37/0.62 (define @t119 () (or @t118 @t114 @t104 @t95 @t86 @t81 @t80)) % 0.37/0.62 (define @t120 () (@list @t15 @t79)) % 0.37/0.62 (define @t121 () (forall @t120 @t119)) % 0.37/0.62 (define @t122 () (@var "BOUND_VARIABLE_7914" $$unsorted)) % 0.37/0.62 (define @t123 () (tptp.in @t122 @t15)) % 0.37/0.62 (define @t124 () (@var "BOUND_VARIABLE_7916" $$unsorted)) % 0.37/0.62 (define @t125 () (not (tptp.in @t122 @t124))) % 0.37/0.62 (define @t126 () (not (tptp.in @t124 @t15))) % 0.37/0.62 (define @t127 () (or @t126 @t125 @t123)) % 0.37/0.62 (define @t128 () (or @t118 @t114 @t104 @t95 @t86 @t127)) % 0.37/0.62 (define @t129 () (forall (@list @t15 @t122 @t124) @t128)) % 0.37/0.62 (define @t130 () (@list @t122 @t124)) % 0.37/0.62 (define @t131 () (forall @t130 @t128)) % 0.37/0.62 (define @t132 () (forall @t130 @t127)) % 0.37/0.62 (define @t133 () (or @t118 @t114 @t104 @t95 @t86 @t132)) % 0.37/0.62 (define @t134 () (tptp.in @t5 @t15)) % 0.37/0.62 (define @t135 () (tptp.in @t5 @t2)) % 0.37/0.62 (define @t136 () (not @t135)) % 0.37/0.62 (define @t137 () (tptp.in @t2 @t15)) % 0.37/0.62 (define @t138 () (not @t137)) % 0.37/0.62 (define @t139 () (forall @t19 (or @t138 @t136 @t134))) % 0.37/0.62 (define @t140 () (or @t118 @t114 @t104 @t95 @t86 @t139)) % 0.37/0.62 (define @t141 () (or @t118 @t114 @t104 @t95 @t86)) % 0.37/0.62 (define @t142 () (and @t117 @t113 @t103 @t94 @t85)) % 0.37/0.62 (define @t143 () (not @t142)) % 0.37/0.62 (define @t144 () (not @t8)) % 0.37/0.62 (define @t145 () (not @t18)) % 0.37/0.62 (define @t146 () (or @t145 @t144 @t16)) % 0.37/0.62 (define @t147 () (forall @t84 (or (not (tptp.in @t82 @t5)) @t83))) % 0.37/0.62 (define @t148 () (not (tptp.in @t88 @t5))) % 0.37/0.62 (define @t149 () (not (tptp.in @t87 @t5))) % 0.37/0.62 (define @t150 () (forall @t102 (or (not (tptp.in @t97 @t5)) (not (tptp.in @t99 @t5)) @t101 (not (tptp.in @t96 @t5)) @t100 @t98))) % 0.37/0.62 (define @t151 () (tptp.powerset @t5)) % 0.37/0.62 (define @t152 () (forall @t112 (or (not (tptp.in @t108 @t151)) @t111 @t110))) % 0.37/0.62 (define @t153 () (forall @t116 (or (not (tptp.in @t115 @t5)) (tptp.subset @t115 @t5)))) % 0.37/0.62 (define @t154 () (or @t149 @t148 (= @t87 @t88) @t90 @t89)) % 0.37/0.62 (define @t155 () (forall @t93 @t154)) % 0.37/0.62 (define @t156 () (and @t153 @t152 @t150 @t155 @t147)) % 0.37/0.62 (define @t157 () (tptp.in @t15 @t15)) % 0.37/0.62 (define @t158 () (not @t157)) % 0.37/0.62 (define @t159 () (not (tptp.in @t15 @t5))) % 0.37/0.62 (define @t160 () (forall @t23 (or @t159 @t158))) % 0.37/0.62 (define @t161 () (@list @t15)) % 0.37/0.62 (define @t162 () (tptp.in @t15 @t88)) % 0.37/0.62 (define @t163 () (= @t15 @t88)) % 0.37/0.62 (define @t164 () (@list @t15 @t88)) % 0.37/0.62 (define @t165 () (forall @t164 (or @t159 @t148 @t163 @t162 @t92))) % 0.37/0.62 (define @t166 () (tptp.in @t44 @t15)) % 0.37/0.62 (define @t167 () (not @t166)) % 0.37/0.62 (define @t168 () (not (tptp.in @t105 @t15))) % 0.37/0.62 (define @t169 () (not (forall @t109 (or @t168 (not (forall @t51 (or @t167 @t107 @t106))))))) % 0.37/0.62 (define @t170 () (= tptp.emptyset @t15)) % 0.37/0.62 (define @t171 () (forall @t23 (or (not (tptp.in @t15 @t151)) @t170 @t169))) % 0.37/0.62 (define @t172 () (forall @t23 (or @t159 (tptp.subset @t15 @t5)))) % 0.37/0.62 (define @t173 () (and @t172 @t171 @t150 @t165 @t160)) % 0.37/0.62 (define @t174 () (lambda @t9 @t173)) % 0.37/0.62 (define @t175 () (_ @t174 @t15)) % 0.37/0.62 (define @t176 () (=> @t175 @t20)) % 0.37/0.62 (define @t177 () (forall @t23 @t176)) % 0.37/0.62 (define @t178 () (and @t171 @t150 @t165 @t160)) % 0.37/0.62 (define @t179 () (tptp.in @t15 @t2)) % 0.37/0.62 (define @t180 () (not @t179)) % 0.37/0.62 (define @t181 () (forall @t23 (or @t180 @t158))) % 0.37/0.62 (define @t182 () (not (tptp.in @t88 @t2))) % 0.37/0.62 (define @t183 () (or @t180 @t182 @t163 @t162 @t92)) % 0.37/0.62 (define @t184 () (forall @t164 @t183)) % 0.37/0.62 (define @t185 () (not (tptp.in @t96 @t2))) % 0.37/0.62 (define @t186 () (not (tptp.in @t99 @t2))) % 0.37/0.62 (define @t187 () (forall @t102 (or (not (tptp.in @t97 @t2)) @t186 @t101 @t185 @t100 @t98))) % 0.37/0.62 (define @t188 () (tptp.powerset @t2)) % 0.37/0.62 (define @t189 () (tptp.in @t15 @t188)) % 0.37/0.62 (define @t190 () (not @t189)) % 0.37/0.62 (define @t191 () (or @t167 (= @t105 @t44) @t106)) % 0.37/0.62 (define @t192 () (forall @t51 @t191)) % 0.37/0.62 (define @t193 () (not @t192)) % 0.37/0.62 (define @t194 () (or @t168 @t193)) % 0.37/0.62 (define @t195 () (forall @t109 @t194)) % 0.37/0.62 (define @t196 () (not @t195)) % 0.37/0.62 (define @t197 () (or @t190 @t170 @t196)) % 0.37/0.62 (define @t198 () (forall @t23 @t197)) % 0.37/0.62 (define @t199 () (and @t198 @t187 @t184 @t181)) % 0.37/0.62 (define @t200 () (tptp.in @t5 @t96)) % 0.37/0.62 (define @t201 () (not (tptp.in @t5 @t99))) % 0.37/0.62 (define @t202 () (or @t136 @t186 @t201 @t185 @t100 @t200)) % 0.37/0.62 (define @t203 () (@list @t5 @t99 @t96)) % 0.37/0.62 (define @t204 () (forall @t203 @t202)) % 0.37/0.62 (define @t205 () (@list @t5)) % 0.37/0.62 (define @t206 () (tptp.in @t5 @t44)) % 0.37/0.62 (define @t207 () (forall @t51 (or @t167 @t65 @t206))) % 0.37/0.62 (define @t208 () (not @t207)) % 0.37/0.62 (define @t209 () (not @t134)) % 0.37/0.62 (define @t210 () (forall @t9 (or @t209 @t208))) % 0.37/0.62 (define @t211 () (not @t210)) % 0.37/0.62 (define @t212 () (or @t190 @t170 @t211)) % 0.37/0.62 (define @t213 () (forall @t23 @t212)) % 0.37/0.62 (define @t214 () (and @t213 @t204 @t184 @t181)) % 0.37/0.62 (define @t215 () (lambda @t27 @t214)) % 0.37/0.62 (define @t216 () (tptp.subset @t15 @t2)) % 0.37/0.62 (define @t217 () (_ (lambda @t27 (forall @t23 (or @t180 @t216))) @t5)) % 0.37/0.62 (define @t218 () (and @t204 @t184 @t181)) % 0.37/0.62 (define @t219 () (not @t72)) % 0.37/0.62 (define @t220 () (or @t219 @t170 @t211)) % 0.37/0.62 (define @t221 () (not @t170)) % 0.37/0.62 (define @t222 () (=> @t221 @t211)) % 0.37/0.62 (define @t223 () (not @t16)) % 0.37/0.62 (define @t224 () (or @t223 @t208)) % 0.37/0.62 (define @t225 () (and @t16 @t207)) % 0.37/0.62 (define @t226 () (forall @t9 (not @t225))) % 0.37/0.62 (define @t227 () (not @t226)) % 0.37/0.62 (define @t228 () (not @t46)) % 0.37/0.62 (define @t229 () (or @t228 @t65 @t55)) % 0.37/0.62 (define @t230 () (_ (lambda @t9 (not (= tptp.emptyset @t5))) @t15)) % 0.37/0.62 (define @t231 () (=> @t230 @t69)) % 0.37/0.62 (define @t232 () (=> @t72 @t231)) % 0.37/0.62 (define @t233 () (forall @t23 @t232)) % 0.37/0.62 (define @t234 () (_ (lambda @t27 @t218) @t2)) % 0.37/0.62 (define @t235 () (not @t38)) % 0.37/0.62 (define @t236 () (or @t235 @t42)) % 0.37/0.62 (define @t237 () (or @t182 @t163 @t162 @t92)) % 0.37/0.62 (define @t238 () (or @t180 @t237)) % 0.37/0.62 (define @t239 () (forall @t164 @t238)) % 0.37/0.62 (define @t240 () (@list @t88)) % 0.37/0.62 (define @t241 () (forall @t240 @t238)) % 0.37/0.62 (define @t242 () (forall @t240 @t237)) % 0.37/0.62 (define @t243 () (@list @t44)) % 0.37/0.62 (define @t244 () (or @t180 @t242)) % 0.37/0.62 (define @t245 () (tptp.in @t15 @t44)) % 0.37/0.62 (define @t246 () (tptp.in @t44 @t2)) % 0.37/0.62 (define @t247 () (not @t246)) % 0.37/0.62 (define @t248 () (forall @t51 (or @t247 @t48 @t245 @t166))) % 0.37/0.62 (define @t249 () (or @t235 @t248)) % 0.37/0.62 (define @t250 () (not @t50)) % 0.37/0.62 (define @t251 () (or @t250 @t48 @t47 @t46)) % 0.37/0.62 (define @t252 () (or @t186 @t201 @t185 @t100 @t200)) % 0.37/0.62 (define @t253 () (or @t136 @t252)) % 0.37/0.62 (define @t254 () (forall @t203 @t253)) % 0.37/0.62 (define @t255 () (@list @t99 @t96)) % 0.37/0.62 (define @t256 () (forall @t255 @t253)) % 0.37/0.62 (define @t257 () (forall @t255 @t252)) % 0.37/0.62 (define @t258 () (@var "BOUND_VARIABLE_7528" $$unsorted)) % 0.37/0.62 (define @t259 () (or @t136 @t257)) % 0.37/0.62 (define @t260 () (tptp.in @t5 @t258)) % 0.37/0.62 (define @t261 () (not (tptp.in @t15 @t258))) % 0.37/0.62 (define @t262 () (not (tptp.in @t258 @t2))) % 0.37/0.62 (define @t263 () (or @t180 @t209 @t262 @t261 @t260)) % 0.37/0.62 (define @t264 () (@list @t15 @t258)) % 0.37/0.62 (define @t265 () (forall @t264 @t263)) % 0.37/0.62 (define @t266 () (or @t144 @t265)) % 0.37/0.62 (define @t267 () (or @t262 @t261 @t260)) % 0.37/0.62 (define @t268 () (or @t180 @t209 @t267)) % 0.37/0.62 (define @t269 () (forall @t264 @t268)) % 0.37/0.62 (define @t270 () (@list @t258)) % 0.37/0.62 (define @t271 () (forall @t270 @t268)) % 0.37/0.62 (define @t272 () (forall @t270 @t267)) % 0.37/0.62 (define @t273 () (or @t180 @t209 @t272)) % 0.37/0.62 (define @t274 () (forall @t51 (or @t247 (not @t245) @t206))) % 0.37/0.62 (define @t275 () (or @t235 @t223 @t274)) % 0.37/0.62 (define @t276 () (or @t223 @t274)) % 0.37/0.62 (define @t277 () (not @t47)) % 0.37/0.62 (define @t278 () (or @t250 @t277 @t55)) % 0.37/0.62 (define @t279 () (forall @t51 @t278)) % 0.37/0.62 (define @t280 () (or @t223 @t279)) % 0.37/0.62 (define @t281 () (or @t223 @t278)) % 0.37/0.62 (define @t282 () (or @t250 @t223 @t277 @t55)) % 0.37/0.62 (define @t283 () (or @t223 @t277 @t55)) % 0.37/0.62 (define @t284 () (or @t235 @t36)) % 0.37/0.62 (define @t285 () (=> tptp.ordinalTransSet @t121)) % 0.37/0.62 (define @t286 () (tptp.subset @t2 @t1)) % 0.37/0.62 (define @t287 () (tptp.in @t5 @t1)) % 0.37/0.62 (define @t288 () (forall @t9 (or @t136 @t287))) % 0.37/0.62 (define @t289 () (not @t288)) % 0.37/0.62 (define @t290 () (or @t289 @t4)) % 0.37/0.62 (define @t291 () (or @t144 @t7)) % 0.37/0.62 (define @t292 () (=> tptp.subsetI1 @t285)) % 0.37/0.62 (define @t293 () (or @t81 @t80)) % 0.37/0.62 (define @t294 () (or @t118 @t114 @t104 @t95 @t86 @t293)) % 0.37/0.62 (define @t295 () (forall @t120 @t294)) % 0.37/0.62 (define @t296 () (@list @t79)) % 0.37/0.62 (define @t297 () (forall @t296 @t294)) % 0.37/0.62 (define @t298 () (forall @t296 @t293)) % 0.37/0.62 (define @t299 () (or @t118 @t114 @t104 @t95 @t86 @t298)) % 0.37/0.62 (define @t300 () (tptp.subset @t2 @t15)) % 0.37/0.62 (define @t301 () (forall @t27 (or @t138 @t300))) % 0.37/0.62 (define @t302 () (or @t118 @t114 @t104 @t95 @t86 @t301)) % 0.37/0.62 (define @t303 () (or @t145 @t26)) % 0.37/0.62 (define @t304 () (=> @t175 @t28)) % 0.37/0.62 (define @t305 () (forall @t23 @t304)) % 0.37/0.62 (define @t306 () (=> tptp.ordinalTransSet @t305)) % 0.37/0.62 (define @t307 () (=> tptp.subsetI1 @t306)) % 0.37/0.62 (define @t308 () (@quantifiers_skolemize @t121 0)) % 0.37/0.62 (define @t309 () (forall @t116 (or (not (tptp.in @t115 @t308)) (tptp.subset @t115 @t308)))) % 0.37/0.62 (define @t310 () (@quantifiers_skolemize @t121 1)) % 0.37/0.62 (define @t311 () (tptp.subset @t310 @t308)) % 0.37/0.62 (define @t312 () (tptp.in @t310 @t308)) % 0.37/0.62 (define @t313 () (not @t312)) % 0.37/0.62 (define @t314 () (not @t309)) % 0.37/0.62 (define @t315 () (or @t314 (not (forall @t112 (or (not (tptp.in @t108 (tptp.powerset @t308))) @t111 @t110))) (not (forall @t102 (or (not (tptp.in @t97 @t308)) (not (tptp.in @t99 @t308)) @t101 (not (tptp.in @t96 @t308)) @t100 @t98))) (not (forall @t93 (or (not (tptp.in @t87 @t308)) (not (tptp.in @t88 @t308)) @t91 @t90 @t89))) (not (forall @t84 (or (not (tptp.in @t82 @t308)) @t83))) @t313 @t311)) % 0.37/0.62 (define @t316 () (@list true)) % 0.37/0.62 (define @t317 () (@list @t315)) % 0.37/0.62 (define @t318 () (or @t313 @t311)) % 0.37/0.62 (define @t319 () (not @t318)) % 0.37/0.62 (assume @p1 @t14) % 0.37/0.62 (assume @p2 @t25) % 0.37/0.62 (assume @p3 @t33) % 0.37/0.62 (assume @p4 true) % 0.37/0.62 (step @p5 (= tptp.nonempty @t35) :rule refl :args (@t35)) % 0.37/0.62 (step @p6 (= tptp.transitiveset @t40) :rule refl :args (@t40)) % 0.37/0.62 (step @p7 (= tptp.stricttotalorderedByIn @t64) :rule refl :args (@t64)) % 0.37/0.62 (step @p8 (= tptp.wellorderedByIn @t76) :rule refl :args (@t76)) % 0.37/0.62 (step @p9 (= tptp.ordinal @t78) :rule refl :args (@t78)) % 0.37/0.62 (step @p10 :rule refl :args (@t121)) % 0.37/0.62 (step @p11 :rule aci_norm :args ((= @t128 (or @t118 @t114 @t104 @t95 @t86 @t126 @t125 @t123)))) % 0.37/0.62 (step @p12 :rule cong :premises (@p11) :args (@t129)) % 0.37/0.62 (step @p13 :rule quant-merge-prenex :args ((= (forall @t23 @t131) @t129))) % 0.37/0.62 (step @p14 :rule alpha_equiv :args (@t132 (@list @t122 @t124) (@list @t5 @t2))) % 0.37/0.62 (step @p15 :rule refl :args (@t86)) % 0.37/0.62 (step @p16 :rule refl :args (@t95)) % 0.37/0.62 (step @p17 :rule refl :args (@t104)) % 0.37/0.62 (step @p18 :rule refl :args (@t114)) % 0.37/0.62 (step @p19 :rule refl :args (@t118)) % 0.37/0.62 (step @p20 :rule nary_cong :premises (@p19 @p18 @p17 @p16 @p15 @p14) :args (@t133)) % 0.37/0.62 (step @p21 :rule quant-miniscope-or :args ((= @t131 @t133))) % 0.37/0.62 (step @p22 :rule trans :premises (@p21 @p20)) % 0.37/0.62 (step @p23 :rule symm :premises (@p22)) % 0.37/0.62 (step @p24 :rule cong :premises (@p23) :args ((forall @t23 @t140))) % 0.37/0.62 (step @p25 :rule trans :premises (@p24 @p13)) % 0.37/0.62 (step @p26 :rule trans :premises (@p25 @p12)) % 0.37/0.62 (step @p27 :rule aci_norm :args ((= (or @t141 @t139) @t140))) % 0.37/0.62 (step @p28 :rule refl :args (@t139)) % 0.37/0.62 (step @p29 :rule aci_norm :args ((= (or @t118 (or @t114 (or @t104 (or @t95 @t86)))) @t141))) % 0.37/0.62 (step @p30 :rule bool-and-de-morgan :args (@t94 @t85 true)) % 0.37/0.62 (step @p31 :rule nary_cong :premises (@p17 @p30) :args ((or @t104 (not (and @t94 @t85))))) % 0.37/0.62 (step @p32 :rule bool-and-de-morgan :args (@t103 @t94 (and @t85))) % 0.37/0.62 (step @p33 :rule trans :premises (@p32 @p31)) % 0.37/0.62 (step @p34 :rule nary_cong :premises (@p18 @p33) :args ((or @t114 (not (and @t103 @t94 @t85))))) % 0.37/0.62 (step @p35 :rule bool-and-de-morgan :args (@t113 @t103 (and @t94 @t85))) % 0.37/0.62 (step @p36 :rule trans :premises (@p35 @p34)) % 0.37/0.62 (step @p37 :rule nary_cong :premises (@p19 @p36) :args ((or @t118 (not (and @t113 @t103 @t94 @t85))))) % 0.37/0.62 (step @p38 :rule bool-and-de-morgan :args (@t117 @t113 (and @t103 @t94 @t85))) % 0.37/0.62 (step @p39 :rule trans :premises (@p38 @p37)) % 0.37/0.62 (step @p40 :rule trans :premises (@p39 @p29)) % 0.37/0.62 (step @p41 :rule nary_cong :premises (@p40 @p28) :args ((or @t143 @t139))) % 0.37/0.62 (step @p42 :rule trans :premises (@p41 @p27)) % 0.37/0.62 (step @p43 :rule bool-impl-elim :args (@t142 @t139)) % 0.37/0.62 (step @p44 :rule trans :premises (@p43 @p42)) % 0.37/0.62 (step @p45 :rule cong :premises (@p44) :args ((forall @t23 (=> @t142 @t139)))) % 0.37/0.62 (step @p46 :rule trans :premises (@p45 @p26)) % 0.37/0.62 (step @p47 :rule refl :args (@t134)) % 0.37/0.62 (step @p48 :rule refl :args (@t16)) % 0.37/0.62 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t16 @t134))) % 0.37/0.62 (step @p50 :rule symm :premises (@p49)) % 0.37/0.62 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.37/0.62 (step @p52 :rule refl :args (@t135)) % 0.37/0.62 (step @p53 :rule refl :args (@t8)) % 0.37/0.62 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t8 @t135))) % 0.37/0.62 (step @p55 :rule symm :premises (@p54)) % 0.37/0.62 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.37/0.62 (step @p57 :rule cong :premises (@p56) :args (@t144)) % 0.37/0.62 (step @p58 :rule refl :args (@t137)) % 0.37/0.62 (step @p59 :rule refl :args (@t18)) % 0.37/0.62 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t18 @t137))) % 0.37/0.62 (step @p61 :rule symm :premises (@p60)) % 0.37/0.62 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.37/0.62 (step @p63 :rule cong :premises (@p62) :args (@t145)) % 0.37/0.62 (step @p64 :rule nary_cong :premises (@p63 @p57 @p51) :args (@t146)) % 0.37/0.62 (step @p65 :rule cong :premises (@p64) :args ((forall @t19 @t146))) % 0.37/0.62 (step @p66 :rule aci_norm :args ((= (or @t145 (or @t144 @t16)) @t146))) % 0.37/0.62 (step @p67 :rule bool-impl-elim :args (@t8 @t16)) % 0.37/0.62 (step @p68 :rule refl :args (@t145)) % 0.37/0.62 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t145 @t17))) % 0.37/0.62 (step @p70 :rule trans :premises (@p69 @p66)) % 0.37/0.62 (step @p71 :rule bool-impl-elim :args (@t18 @t17)) % 0.37/0.62 (step @p72 :rule trans :premises (@p71 @p70)) % 0.37/0.62 (step @p73 :rule cong :premises (@p72) :args (@t20)) % 0.37/0.62 (step @p74 :rule trans :premises (@p73 @p65)) % 0.37/0.62 (step @p75 :rule beta-reduce :args ((= (_ (lambda @t9 (and @t153 @t152 @t150 (forall @t93 (or @t149 @t148 @t91 @t90 @t89)) @t147)) @t15) @t142))) % 0.37/0.62 (step @p76 :rule refl :args (@t15)) % 0.37/0.62 (step @p77 :rule refl :args (@t147)) % 0.37/0.62 (step @p78 :rule refl :args (@t89)) % 0.37/0.62 (step @p79 :rule refl :args (@t90)) % 0.37/0.62 (step @p80 :rule eq-symm :args (@t87 @t88)) % 0.37/0.62 (step @p81 :rule refl :args (@t148)) % 0.37/0.62 (step @p82 :rule refl :args (@t149)) % 0.37/0.62 (step @p83 :rule nary_cong :premises (@p82 @p81 @p80 @p79 @p78) :args (@t154)) % 0.37/0.62 (step @p84 :rule cong :premises (@p83) :args (@t155)) % 0.37/0.62 (step @p85 :rule refl :args (@t150)) % 0.37/0.62 (step @p86 :rule refl :args (@t152)) % 0.37/0.62 (step @p87 :rule refl :args (@t153)) % 0.37/0.62 (step @p88 :rule nary_cong :premises (@p87 @p86 @p85 @p84 @p77) :args (@t156)) % 0.37/0.62 (step @p89 :rule cong :premises (@p88) :args ((lambda @t9 @t156))) % 0.37/0.62 (step @p90 :rule ho_cong :premises (@p89 @p76)) % 0.37/0.62 (step @p91 :rule trans :premises (@p90 @p75)) % 0.37/0.62 (step @p92 :rule refl :args (@t15)) % 0.37/0.62 (step @p93 :rule alpha_equiv :args (@t160 @t161 (@list @t82))) % 0.37/0.62 (step @p94 :rule alpha_equiv :args (@t165 @t161 (@list @t87))) % 0.37/0.62 (step @p95 :rule refl :args (@t150)) % 0.37/0.62 (step @p96 :rule alpha_equiv :args (@t171 @t161 (@list @t108))) % 0.37/0.62 (step @p97 :rule alpha_equiv :args (@t172 @t161 (@list @t115))) % 0.37/0.62 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95 @p94 @p93) :args (@t173)) % 0.37/0.62 (step @p99 :rule cong :premises (@p98) :args (@t174)) % 0.37/0.62 (step @p100 :rule ho_cong :premises (@p99 @p92)) % 0.37/0.62 (step @p101 :rule trans :premises (@p100 @p91)) % 0.37/0.62 (step @p102 :rule cong :premises (@p101 @p74) :args (@t176)) % 0.37/0.62 (step @p103 :rule cong :premises (@p102) :args (@t177)) % 0.37/0.62 (step @p104 :rule trans :premises (@p103 @p46)) % 0.37/0.62 (step @p105 :rule refl :args (tptp.ordinalTransSet)) % 0.37/0.62 (step @p106 :rule cong :premises (@p105 @p104) :args ((= tptp.ordinalTransSet @t177))) % 0.37/0.62 (step @p107 :rule refl :args (@t20)) % 0.37/0.62 (step @p108 :rule aci_norm :args ((= (and @t172 @t178) @t173))) % 0.37/0.62 (step @p109 :rule beta-reduce :args ((= (_ (lambda @t27 (and (forall @t23 (or @t190 @t170 @t169)) @t187 @t184 @t181)) @t5) @t178))) % 0.37/0.62 (step @p110 :rule refl :args (@t5)) % 0.37/0.62 (step @p111 :rule refl :args (@t181)) % 0.37/0.62 (step @p112 :rule refl :args (@t184)) % 0.37/0.62 (step @p113 :rule refl :args (@t187)) % 0.37/0.62 (step @p114 :rule refl :args (@t106)) % 0.37/0.62 (step @p115 :rule eq-symm :args (@t105 @t44)) % 0.37/0.62 (step @p116 :rule refl :args (@t167)) % 0.37/0.62 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114) :args (@t191)) % 0.37/0.62 (step @p118 :rule cong :premises (@p117) :args (@t192)) % 0.37/0.62 (step @p119 :rule cong :premises (@p118) :args (@t193)) % 0.37/0.62 (step @p120 :rule refl :args (@t168)) % 0.37/0.62 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t194)) % 0.37/0.62 (step @p122 :rule cong :premises (@p121) :args (@t195)) % 0.37/0.62 (step @p123 :rule cong :premises (@p122) :args (@t196)) % 0.37/0.62 (step @p124 :rule refl :args (@t170)) % 0.37/0.62 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0.45/0.62 (step @p393 :rule cong :premises (@p105 @p392) :args (@t25)) % 0.45/0.62 (step @p394 :rule trans :premises (@p393 @p106)) % 0.45/0.62 (step @p395 :rule eq_resolve :premises (@p2 @p394)) % 0.45/0.62 (step @p396 :rule cong :premises (@p395 @p10) :args (@t285)) % 0.45/0.62 (step @p397 :rule refl :args (@t286)) % 0.45/0.62 (step @p398 :rule refl :args (@t4)) % 0.45/0.62 (step @p399 :rule cong :premises (@p398 @p397) :args ((= @t4 @t286))) % 0.45/0.62 (step @p400 :rule symm :premises (@p399)) % 0.45/0.62 (step @p401 :rule eq_resolve :premises (@p398 @p400)) % 0.45/0.62 (step @p402 :rule refl :args (@t289)) % 0.45/0.62 (step @p403 :rule nary_cong :premises (@p402 @p401) :args (@t290)) % 0.45/0.62 (step @p404 :rule cong :premises (@p403) :args ((forall @t12 @t290))) % 0.45/0.62 (step @p405 :rule bool-impl-elim :args (@t288 @t4)) % 0.45/0.62 (step @p406 :rule cong :premises (@p405) :args ((forall @t12 (=> @t288 @t4)))) % 0.45/0.62 (step @p407 :rule trans :premises (@p406 @p404)) % 0.45/0.62 (step @p408 :rule refl :args (@t4)) % 0.45/0.62 (step @p409 :rule refl :args (@t287)) % 0.45/0.62 (step @p410 :rule refl :args (@t7)) % 0.45/0.62 (step @p411 :rule cong :premises (@p410 @p409) :args ((= @t7 @t287))) % 0.45/0.62 (step @p412 :rule symm :premises (@p411)) % 0.45/0.62 (step @p413 :rule eq_resolve :premises (@p410 @p412)) % 0.45/0.62 (step @p414 :rule nary_cong :premises (@p57 @p413) :args (@t291)) % 0.45/0.62 (step @p415 :rule cong :premises (@p414) :args ((forall @t9 @t291))) % 0.45/0.62 (step @p416 :rule bool-impl-elim :args (@t8 @t7)) % 0.45/0.62 (step @p417 :rule cong :premises (@p416) :args (@t10)) % 0.45/0.62 (step @p418 :rule trans :premises (@p417 @p415)) % 0.45/0.62 (step @p419 :rule cong :premises (@p418 @p408) :args (@t11)) % 0.45/0.62 (step @p420 :rule cong :premises (@p419) :args (@t13)) % 0.45/0.62 (step @p421 :rule trans :premises (@p420 @p407)) % 0.45/0.62 (step @p422 :rule refl :args (tptp.subsetI1)) % 0.45/0.62 (step @p423 :rule cong :premises (@p422 @p421) :args (@t14)) % 0.45/0.62 (step @p424 :rule eq_resolve :premises (@p1 @p423)) % 0.45/0.62 (step @p425 :rule cong :premises (@p424 @p396) :args (@t292)) % 0.45/0.62 (step @p426 :rule cong :premises (@p425) :args ((not @t292))) % 0.45/0.62 (step @p427 :rule aci_norm :args ((= @t294 @t119))) % 0.45/0.62 (step @p428 :rule cong :premises (@p427) :args (@t295)) % 0.45/0.62 (step @p429 :rule quant-merge-prenex :args ((= (forall @t23 @t297) @t295))) % 0.45/0.62 (step @p430 :rule alpha_equiv :args (@t298 (@list @t79) (@list @t2))) % 0.45/0.62 (step @p431 :rule nary_cong :premises (@p19 @p18 @p17 @p16 @p15 @p430) :args (@t299)) % 0.45/0.62 (step @p432 :rule quant-miniscope-or :args ((= @t297 @t299))) % 0.45/0.62 (step @p433 :rule trans :premises (@p432 @p431)) % 0.45/0.62 (step @p434 :rule symm :premises (@p433)) % 0.45/0.62 (step @p435 :rule cong :premises (@p434) :args ((forall @t23 @t302))) % 0.45/0.62 (step @p436 :rule trans :premises (@p435 @p429)) % 0.45/0.62 (step @p437 :rule trans :premises (@p436 @p428)) % 0.45/0.62 (step @p438 :rule aci_norm :args ((= (or @t141 @t301) @t302))) % 0.45/0.62 (step @p439 :rule refl :args (@t301)) % 0.45/0.62 (step @p440 :rule nary_cong :premises (@p40 @p439) :args ((or @t143 @t301))) % 0.45/0.62 (step @p441 :rule trans :premises (@p440 @p438)) % 0.45/0.62 (step @p442 :rule bool-impl-elim :args (@t142 @t301)) % 0.45/0.62 (step @p443 :rule trans :premises (@p442 @p441)) % 0.45/0.62 (step @p444 :rule cong :premises (@p443) :args ((forall @t23 (=> @t142 @t301)))) % 0.45/0.62 (step @p445 :rule trans :premises (@p444 @p437)) % 0.45/0.62 (step @p446 :rule refl :args (@t300)) % 0.45/0.62 (step @p447 :rule refl :args (@t26)) % 0.45/0.62 (step @p448 :rule cong :premises (@p447 @p446) :args ((= @t26 @t300))) % 0.45/0.62 (step @p449 :rule symm :premises (@p448)) % 0.45/0.62 (step @p450 :rule eq_resolve :premises (@p447 @p449)) % 0.45/0.62 (step @p451 :rule nary_cong :premises (@p63 @p450) :args (@t303)) % 0.45/0.62 (step @p452 :rule cong :premises (@p451) :args ((forall @t27 @t303))) % 0.45/0.62 (step @p453 :rule bool-impl-elim :args (@t18 @t26)) % 0.45/0.62 (step @p454 :rule cong :premises (@p453) :args (@t28)) % 0.45/0.62 (step @p455 :rule trans :premises (@p454 @p452)) % 0.45/0.62 (step @p456 :rule cong :premises (@p101 @p455) :args (@t304)) % 0.45/0.62 (step @p457 :rule cong :premises (@p456) :args (@t305)) % 0.45/0.62 (step @p458 :rule trans :premises (@p457 @p445)) % 0.45/0.62 (step @p459 :rule cong :premises (@p105 @p458) :args (@t306)) % 0.45/0.62 (step @p460 :rule cong :premises (@p422 @p459) :args (@t307)) % 0.45/0.62 (step @p461 :rule cong :premises (@p460) :args ((not @t307))) % 0.45/0.62 (step @p462 :rule refl :args (@t28)) % 0.45/0.62 (step @p463 :rule cong :premises (@p390 @p462) :args (@t29)) % 0.45/0.62 (step @p464 :rule cong :premises (@p463) :args (@t30)) % 0.45/0.62 (step @p465 :rule cong :premises (@p105 @p464) :args (@t31)) % 0.45/0.62 (step @p466 :rule cong :premises (@p422 @p465) :args (@t32)) % 0.45/0.62 (step @p467 :rule cong :premises (@p466) :args (@t33)) % 0.45/0.62 (step @p468 :rule trans :premises (@p467 @p461)) % 0.45/0.62 (step @p469 :rule trans :premises (@p468 @p426)) % 0.45/0.62 (step @p470 :rule eq_resolve :premises (@p3 @p469)) % 0.45/0.62 (step @p471 :rule not_implies_elim2 :premises (@p470)) % 0.45/0.62 (step @p472 :rule not_implies_elim2 :premises (@p471)) % 0.45/0.62 (step @p473 :rule skolemize :premises (@p472)) % 0.45/0.62 (step @p474 :rule bool-double-not-elim :args (@t309)) % 0.45/0.62 (step @p475 :rule refl :args (@t315)) % 0.45/0.62 (step @p476 :rule nary_cong :premises (@p475 @p474) :args ((or @t315 (not @t314)))) % 0.45/0.62 (step @p477 :rule cnf_or_neg :args (@t315 0)) % 0.45/0.62 (step @p478 :rule eq_resolve :premises (@p477 @p476)) % 0.45/0.62 (step @p479 :rule reordering :premises (@p478) :args ((or @t309 @t315))) % 0.45/0.62 (step @p480 :rule chain_m_resolution :premises (@p479 @p473) :args (@t309 @t316 @t317)) % 0.45/0.62 (step @p481 :rule cnf_or_neg :args (@t315 6)) % 0.45/0.62 (step @p482 :rule chain_m_resolution :premises (@p481 @p473) :args ((not @t311) @t316 @t317)) % 0.45/0.62 (step @p483 :rule bool-double-not-elim :args (@t312)) % 0.45/0.62 (step @p484 :rule nary_cong :premises (@p475 @p483) :args ((or @t315 (not @t313)))) % 0.45/0.62 (step @p485 :rule cnf_or_neg :args (@t315 5)) % 0.45/0.62 (step @p486 :rule eq_resolve :premises (@p485 @p484)) % 0.45/0.62 (step @p487 :rule reordering :premises (@p486) :args ((or @t312 @t315))) % 0.45/0.62 (step @p488 :rule chain_m_resolution :premises (@p487 @p473) :args (@t312 @t316 @t317)) % 0.45/0.62 (step @p489 :rule cnf_or_pos :args (@t318)) % 0.45/0.62 (step @p490 :rule reordering :premises (@p489) :args ((or @t313 @t311 @t319))) % 0.45/0.62 (step @p491 :rule chain_m_resolution :premises (@p490 @p488 @p482) :args (@t319 (@list false true) (@list @t312 @t311))) % 0.45/0.62 (assume-push @p498 @t309) % 0.45/0.62 (step @p493 :rule instantiate :premises (@p480) :args ((@list @t310))) % 0.45/0.62 (step-pop @p499 :rule scope :premises (@p493)) % 0.45/0.62 (step @p494 :rule process_scope :premises (@p499) :args (@t318)) % 0.45/0.62 (step @p496 :rule implies_elim :premises (@p494)) % 0.45/0.62 (step @p497 false :rule chain_m_resolution :premises (@p496 @p491 @p480) :args (false (@list true false) (@list @t318 @t309))) % 0.45/0.62 ) % 0.45/0.62 % SZS output end Proof % 0.45/0.62 % cvc5 exiting %------------------------------------------------------------------------------