%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU823^2 : 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 : 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 08:53:22 AM UTC 2026 % Result : Theorem 0.47s 0.65s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SEU823^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n011.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 17:54:20 EDT 2026 % 0.19/0.35 % CPUTime : % 0.32/0.51 %----Proving TH0 % 0.47/0.65 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.47/0.65 % SZS status Theorem % 0.47/0.65 % SZS output start Proof % 0.47/0.65 ( % 0.47/0.65 (declare-sort $$unsorted 0) % 0.47/0.65 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.nonempty (-> $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.47/0.65 (declare-const tptp.transitiveset (-> $$unsorted Bool)) % 0.47/0.65 (declare-const tptp.ordinalIrrefl Bool) % 0.47/0.65 (declare-const tptp.ordinalTransSet Bool) % 0.47/0.65 (define tptp.stricttotalorderedByIn () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (_ tptp.in _let_1))) (let ((_let_3 (@var "A" $$unsorted))) (let ((_let_4 (_ _let_2 _let_3))) (let ((_let_5 (@list _let_1))) (let ((_let_6 (@var "Y" $$unsorted))) (let ((_let_7 (_ tptp.in _let_6))) (let ((_let_8 (_ _let_2 _let_6))) (let ((_let_9 (_ _let_7 _let_3))) (let ((_let_10 (@list _let_6))) (let ((_let_11 (@var "Xx" $$unsorted))) (let ((_let_12 (_ tptp.in _let_11))) (lambda (@list _let_3) (and (forall (@list _let_11) (=> (_ _let_12 _let_3) (forall _let_5 (=> _let_4 (forall _let_10 (=> _let_9 (=> (and (_ _let_12 _let_1) _let_8) (_ _let_12 _let_6)))))))) (forall _let_5 (=> _let_4 (forall _let_10 (=> _let_9 (or (= _let_1 _let_6) _let_8 (_ _let_7 _let_1)))))) (forall _let_5 (=> _let_4 (not (_ _let_2 _let_1))))))))))))))))))) % 0.47/0.65 (define tptp.wellorderedByIn () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.in _let_2))) (let ((_let_4 (@var "X" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5) (and (_ tptp.stricttotalorderedByIn _let_5) (forall (@list _let_4) (=> (_ (_ tptp.in _let_4) (_ tptp.powerset _let_5)) (=> (_ tptp.nonempty _let_4) (exists (@list _let_2) (and (_ _let_3 _let_4) (forall (@list _let_1) (=> (_ (_ tptp.in _let_1) _let_4) (or (= _let_2 _let_1) (_ _let_3 _let_1))))))))))))))))) % 0.47/0.65 (define tptp.ordinal () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (and (_ tptp.transitiveset _let_1) (_ tptp.wellorderedByIn _let_1))))) % 0.47/0.65 (define @t1 () (@var "X" $$unsorted)) % 0.47/0.65 (define @t2 () (@var "Xx" $$unsorted)) % 0.47/0.65 (define @t3 () (_ tptp.in @t2)) % 0.47/0.65 (define @t4 () (_ @t3 @t1)) % 0.47/0.65 (define @t5 () (@var "A" $$unsorted)) % 0.47/0.65 (define @t6 () (_ @t3 @t5)) % 0.47/0.65 (define @t7 () (=> @t6 @t4)) % 0.47/0.65 (define @t8 () (_ tptp.in @t5)) % 0.47/0.65 (define @t9 () (_ @t8 @t1)) % 0.47/0.65 (define @t10 () (@list @t2 @t5)) % 0.47/0.65 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.47/0.65 (define @t12 () (_ tptp.ordinal @t1)) % 0.47/0.65 (define @t13 () (=> @t12 @t11)) % 0.47/0.65 (define @t14 () (@list @t1)) % 0.47/0.65 (define @t15 () (forall @t14 @t13)) % 0.47/0.65 (define @t16 () (= tptp.ordinalTransSet @t15)) % 0.47/0.65 (define @t17 () (_ @t8 @t5)) % 0.47/0.65 (define @t18 () (not @t17)) % 0.47/0.65 (define @t19 () (@list @t5)) % 0.47/0.65 (define @t20 () (forall @t19 (=> @t9 @t18))) % 0.47/0.65 (define @t21 () (=> @t12 @t20)) % 0.47/0.65 (define @t22 () (forall @t14 @t21)) % 0.47/0.65 (define @t23 () (= tptp.ordinalIrrefl @t22)) % 0.47/0.65 (define @t24 () (not @t9)) % 0.47/0.65 (define @t25 () (_ tptp.in @t1)) % 0.47/0.65 (define @t26 () (_ @t25 @t5)) % 0.47/0.65 (define @t27 () (forall @t19 (=> @t26 @t24))) % 0.47/0.65 (define @t28 () (=> @t12 @t27)) % 0.47/0.65 (define @t29 () (forall @t14 @t28)) % 0.47/0.65 (define @t30 () (=> tptp.ordinalIrrefl @t29)) % 0.47/0.65 (define @t31 () (=> tptp.ordinalTransSet @t30)) % 0.47/0.65 (define @t32 () (not @t31)) % 0.47/0.65 (define @t33 () (_ @t25 @t1)) % 0.47/0.65 (define @t34 () (not @t33)) % 0.47/0.65 (define @t35 () (forall @t14 (=> @t26 @t34))) % 0.47/0.65 (define @t36 () (@var "Y" $$unsorted)) % 0.47/0.65 (define @t37 () (_ tptp.in @t36)) % 0.47/0.65 (define @t38 () (_ @t37 @t1)) % 0.47/0.65 (define @t39 () (_ @t25 @t36)) % 0.47/0.65 (define @t40 () (= @t1 @t36)) % 0.47/0.65 (define @t41 () (or @t40 @t39 @t38)) % 0.47/0.65 (define @t42 () (_ @t37 @t5)) % 0.47/0.65 (define @t43 () (@list @t36)) % 0.47/0.65 (define @t44 () (forall @t43 (=> @t42 @t41))) % 0.47/0.65 (define @t45 () (=> @t26 @t44)) % 0.47/0.65 (define @t46 () (forall @t14 @t45)) % 0.47/0.65 (define @t47 () (_ @t3 @t36)) % 0.47/0.65 (define @t48 () (and @t4 @t39)) % 0.47/0.65 (define @t49 () (=> @t48 @t47)) % 0.47/0.65 (define @t50 () (forall @t43 (=> @t42 @t49))) % 0.47/0.65 (define @t51 () (=> @t26 @t50)) % 0.47/0.65 (define @t52 () (forall @t14 @t51)) % 0.47/0.65 (define @t53 () (=> @t6 @t52)) % 0.47/0.65 (define @t54 () (@list @t2)) % 0.47/0.65 (define @t55 () (forall @t54 @t53)) % 0.47/0.65 (define @t56 () (and @t55 @t46 @t35)) % 0.47/0.65 (define @t57 () (lambda @t19 @t56)) % 0.47/0.65 (define @t58 () (= @t2 @t36)) % 0.47/0.65 (define @t59 () (or @t58 @t47)) % 0.47/0.65 (define @t60 () (forall @t43 (=> @t38 @t59))) % 0.47/0.65 (define @t61 () (and @t4 @t60)) % 0.47/0.65 (define @t62 () (exists @t54 @t61)) % 0.47/0.65 (define @t63 () (_ tptp.nonempty @t1)) % 0.47/0.65 (define @t64 () (=> @t63 @t62)) % 0.47/0.65 (define @t65 () (_ tptp.powerset @t5)) % 0.47/0.65 (define @t66 () (_ @t25 @t65)) % 0.47/0.65 (define @t67 () (=> @t66 @t64)) % 0.47/0.65 (define @t68 () (forall @t14 @t67)) % 0.47/0.65 (define @t69 () (and (_ tptp.stricttotalorderedByIn @t5) @t68)) % 0.47/0.65 (define @t70 () (lambda @t19 @t69)) % 0.47/0.65 (define @t71 () (_ tptp.transitiveset @t2)) % 0.47/0.65 (define @t72 () (and @t71 (_ tptp.wellorderedByIn @t2))) % 0.47/0.65 (define @t73 () (lambda @t54 @t72)) % 0.47/0.65 (define @t74 () (@var "BOUND_VARIABLE_7903" $$unsorted)) % 0.47/0.65 (define @t75 () (not (tptp.in @t74 @t1))) % 0.47/0.65 (define @t76 () (not (tptp.in @t1 @t74))) % 0.47/0.65 (define @t77 () (@var "BOUND_VARIABLE_7748" $$unsorted)) % 0.47/0.65 (define @t78 () (not (tptp.in @t77 @t77))) % 0.47/0.65 (define @t79 () (@list @t77)) % 0.47/0.65 (define @t80 () (forall @t79 (or (not (tptp.in @t77 @t1)) @t78))) % 0.47/0.65 (define @t81 () (not @t80)) % 0.47/0.65 (define @t82 () (@var "BOUND_VARIABLE_7757" $$unsorted)) % 0.47/0.65 (define @t83 () (@var "BOUND_VARIABLE_7534" $$unsorted)) % 0.47/0.65 (define @t84 () (tptp.in @t83 @t82)) % 0.47/0.65 (define @t85 () (tptp.in @t82 @t83)) % 0.47/0.65 (define @t86 () (= @t83 @t82)) % 0.47/0.65 (define @t87 () (tptp.in @t83 @t1)) % 0.47/0.65 (define @t88 () (@list @t82 @t83)) % 0.47/0.65 (define @t89 () (forall @t88 (or (not (tptp.in @t82 @t1)) (not @t87) @t86 @t85 @t84))) % 0.47/0.65 (define @t90 () (not @t89)) % 0.47/0.65 (define @t91 () (@var "BOUND_VARIABLE_7506" $$unsorted)) % 0.47/0.65 (define @t92 () (@var "BOUND_VARIABLE_7633" $$unsorted)) % 0.47/0.65 (define @t93 () (tptp.in @t92 @t91)) % 0.47/0.65 (define @t94 () (@var "BOUND_VARIABLE_7504" $$unsorted)) % 0.47/0.65 (define @t95 () (not (tptp.in @t94 @t91))) % 0.47/0.65 (define @t96 () (not (tptp.in @t92 @t94))) % 0.47/0.65 (define @t97 () (@list @t92 @t94 @t91)) % 0.47/0.65 (define @t98 () (forall @t97 (or (not (tptp.in @t92 @t1)) (not (tptp.in @t94 @t1)) @t96 (not (tptp.in @t91 @t1)) @t95 @t93))) % 0.47/0.65 (define @t99 () (not @t98)) % 0.47/0.65 (define @t100 () (@var "BOUND_VARIABLE_7643" $$unsorted)) % 0.47/0.65 (define @t101 () (tptp.in @t100 @t36)) % 0.47/0.65 (define @t102 () (= @t36 @t100)) % 0.47/0.65 (define @t103 () (@var "BOUND_VARIABLE_7767" $$unsorted)) % 0.47/0.65 (define @t104 () (@list @t100)) % 0.47/0.65 (define @t105 () (not (forall @t104 (or (not (tptp.in @t100 @t103)) (not (forall @t43 (or (not (tptp.in @t36 @t103)) @t102 @t101))))))) % 0.47/0.65 (define @t106 () (not (tptp.nonempty @t103))) % 0.47/0.65 (define @t107 () (@list @t103)) % 0.47/0.65 (define @t108 () (forall @t107 (or (not (tptp.in @t103 (tptp.powerset @t1))) @t106 @t105))) % 0.47/0.65 (define @t109 () (not @t108)) % 0.47/0.65 (define @t110 () (tptp.transitiveset @t1)) % 0.47/0.65 (define @t111 () (not @t110)) % 0.47/0.65 (define @t112 () (or @t111 @t109 @t99 @t90 @t81 @t76 @t75)) % 0.47/0.65 (define @t113 () (@list @t1 @t74)) % 0.47/0.65 (define @t114 () (forall @t113 @t112)) % 0.47/0.65 (define @t115 () (@var "BOUND_VARIABLE_7874" $$unsorted)) % 0.47/0.65 (define @t116 () (not (tptp.in @t115 @t115))) % 0.47/0.65 (define @t117 () (not (tptp.in @t115 @t1))) % 0.47/0.65 (define @t118 () (or @t117 @t116)) % 0.47/0.65 (define @t119 () (or @t111 @t109 @t99 @t90 @t81 @t118)) % 0.47/0.65 (define @t120 () (forall (@list @t1 @t115) @t119)) % 0.47/0.65 (define @t121 () (@list @t115)) % 0.47/0.65 (define @t122 () (forall @t121 @t119)) % 0.47/0.65 (define @t123 () (forall @t121 @t118)) % 0.47/0.65 (define @t124 () (@list @t5)) % 0.47/0.65 (define @t125 () (or @t111 @t109 @t99 @t90 @t81 @t123)) % 0.47/0.65 (define @t126 () (tptp.in @t5 @t5)) % 0.47/0.65 (define @t127 () (tptp.in @t5 @t1)) % 0.47/0.65 (define @t128 () (not @t127)) % 0.47/0.65 (define @t129 () (forall @t19 (or @t128 (not @t126)))) % 0.47/0.65 (define @t130 () (_ tptp.transitiveset @t1)) % 0.47/0.65 (define @t131 () (not @t130)) % 0.47/0.65 (define @t132 () (or @t131 @t109 @t99 @t90 @t81 @t129)) % 0.47/0.65 (define @t133 () (or @t131 @t109 @t99 @t90 @t81)) % 0.47/0.65 (define @t134 () (and @t130 @t108 @t98 @t89 @t80)) % 0.47/0.65 (define @t135 () (not @t134)) % 0.47/0.65 (define @t136 () (or @t24 @t18)) % 0.47/0.65 (define @t137 () (forall @t79 (or (not (tptp.in @t77 @t2)) @t78))) % 0.47/0.65 (define @t138 () (not (tptp.in @t83 @t2))) % 0.47/0.65 (define @t139 () (not (tptp.in @t82 @t2))) % 0.47/0.65 (define @t140 () (forall @t97 (or (not (tptp.in @t92 @t2)) (not (tptp.in @t94 @t2)) @t96 (not (tptp.in @t91 @t2)) @t95 @t93))) % 0.47/0.65 (define @t141 () (tptp.powerset @t2)) % 0.47/0.65 (define @t142 () (forall @t107 (or (not (tptp.in @t103 @t141)) @t106 @t105))) % 0.47/0.65 (define @t143 () (or @t139 @t138 (= @t82 @t83) @t85 @t84)) % 0.47/0.65 (define @t144 () (forall @t88 @t143)) % 0.47/0.65 (define @t145 () (and @t71 @t142 @t140 @t144 @t137)) % 0.47/0.65 (define @t146 () (tptp.in @t1 @t1)) % 0.47/0.65 (define @t147 () (not @t146)) % 0.47/0.65 (define @t148 () (not (tptp.in @t1 @t2))) % 0.47/0.65 (define @t149 () (forall @t14 (or @t148 @t147))) % 0.47/0.65 (define @t150 () (@list @t1)) % 0.47/0.65 (define @t151 () (tptp.in @t1 @t83)) % 0.47/0.65 (define @t152 () (= @t1 @t83)) % 0.47/0.65 (define @t153 () (@list @t1 @t83)) % 0.47/0.65 (define @t154 () (forall @t153 (or @t148 @t138 @t152 @t151 @t87))) % 0.47/0.65 (define @t155 () (tptp.in @t36 @t1)) % 0.47/0.65 (define @t156 () (not @t155)) % 0.47/0.65 (define @t157 () (not (tptp.in @t100 @t1))) % 0.47/0.65 (define @t158 () (not (forall @t104 (or @t157 (not (forall @t43 (or @t156 @t102 @t101))))))) % 0.47/0.65 (define @t159 () (tptp.nonempty @t1)) % 0.47/0.65 (define @t160 () (not @t159)) % 0.47/0.65 (define @t161 () (forall @t14 (or (not (tptp.in @t1 @t141)) @t160 @t158))) % 0.47/0.65 (define @t162 () (and @t71 @t161 @t140 @t154 @t149)) % 0.47/0.65 (define @t163 () (lambda @t54 @t162)) % 0.47/0.65 (define @t164 () (_ @t163 @t1)) % 0.47/0.65 (define @t165 () (=> @t164 @t20)) % 0.47/0.65 (define @t166 () (forall @t14 @t165)) % 0.47/0.65 (define @t167 () (and @t161 @t140 @t154 @t149)) % 0.47/0.65 (define @t168 () (tptp.in @t1 @t5)) % 0.47/0.65 (define @t169 () (not @t168)) % 0.47/0.65 (define @t170 () (forall @t14 (or @t169 @t147))) % 0.47/0.65 (define @t171 () (not (tptp.in @t83 @t5))) % 0.47/0.65 (define @t172 () (or @t169 @t171 @t152 @t151 @t87)) % 0.47/0.65 (define @t173 () (forall @t153 @t172)) % 0.47/0.65 (define @t174 () (not (tptp.in @t91 @t5))) % 0.47/0.65 (define @t175 () (not (tptp.in @t94 @t5))) % 0.47/0.65 (define @t176 () (forall @t97 (or (not (tptp.in @t92 @t5)) @t175 @t96 @t174 @t95 @t93))) % 0.47/0.65 (define @t177 () (tptp.powerset @t5)) % 0.47/0.65 (define @t178 () (tptp.in @t1 @t177)) % 0.47/0.65 (define @t179 () (not @t178)) % 0.47/0.65 (define @t180 () (or @t156 (= @t100 @t36) @t101)) % 0.47/0.65 (define @t181 () (forall @t43 @t180)) % 0.47/0.65 (define @t182 () (not @t181)) % 0.47/0.65 (define @t183 () (or @t157 @t182)) % 0.47/0.65 (define @t184 () (forall @t104 @t183)) % 0.47/0.65 (define @t185 () (not @t184)) % 0.47/0.65 (define @t186 () (or @t179 @t160 @t185)) % 0.47/0.65 (define @t187 () (forall @t14 @t186)) % 0.47/0.65 (define @t188 () (and @t187 @t176 @t173 @t170)) % 0.47/0.65 (define @t189 () (tptp.in @t2 @t91)) % 0.47/0.65 (define @t190 () (not (tptp.in @t2 @t94))) % 0.47/0.65 (define @t191 () (tptp.in @t2 @t5)) % 0.47/0.65 (define @t192 () (not @t191)) % 0.47/0.65 (define @t193 () (or @t192 @t175 @t190 @t174 @t95 @t189)) % 0.47/0.65 (define @t194 () (@list @t2 @t94 @t91)) % 0.47/0.65 (define @t195 () (forall @t194 @t193)) % 0.47/0.65 (define @t196 () (@list @t2)) % 0.47/0.65 (define @t197 () (tptp.in @t2 @t36)) % 0.47/0.65 (define @t198 () (forall @t43 (or @t156 @t58 @t197))) % 0.47/0.65 (define @t199 () (not @t198)) % 0.47/0.65 (define @t200 () (tptp.in @t2 @t1)) % 0.47/0.65 (define @t201 () (not @t200)) % 0.47/0.65 (define @t202 () (forall @t54 (or @t201 @t199))) % 0.47/0.65 (define @t203 () (not @t202)) % 0.47/0.65 (define @t204 () (or @t179 @t160 @t203)) % 0.47/0.65 (define @t205 () (forall @t14 @t204)) % 0.47/0.65 (define @t206 () (and @t205 @t195 @t173 @t170)) % 0.47/0.65 (define @t207 () (lambda @t19 @t206)) % 0.47/0.65 (define @t208 () (and @t195 @t173 @t170)) % 0.47/0.65 (define @t209 () (not @t63)) % 0.47/0.65 (define @t210 () (not @t66)) % 0.47/0.65 (define @t211 () (or @t210 @t209 @t203)) % 0.47/0.65 (define @t212 () (=> @t63 @t203)) % 0.47/0.65 (define @t213 () (not @t4)) % 0.47/0.65 (define @t214 () (or @t213 @t199)) % 0.47/0.65 (define @t215 () (and @t4 @t198)) % 0.47/0.65 (define @t216 () (forall @t54 (not @t215))) % 0.47/0.65 (define @t217 () (not @t216)) % 0.47/0.65 (define @t218 () (not @t38)) % 0.47/0.65 (define @t219 () (or @t218 @t58 @t47)) % 0.47/0.65 (define @t220 () (_ (lambda @t19 @t208) @t5)) % 0.47/0.65 (define @t221 () (not @t26)) % 0.47/0.65 (define @t222 () (or @t221 @t34)) % 0.47/0.65 (define @t223 () (or @t171 @t152 @t151 @t87)) % 0.47/0.65 (define @t224 () (or @t169 @t223)) % 0.47/0.65 (define @t225 () (forall @t153 @t224)) % 0.47/0.65 (define @t226 () (@list @t83)) % 0.47/0.65 (define @t227 () (forall @t226 @t224)) % 0.47/0.65 (define @t228 () (forall @t226 @t223)) % 0.47/0.65 (define @t229 () (@list @t36)) % 0.47/0.65 (define @t230 () (or @t169 @t228)) % 0.47/0.65 (define @t231 () (tptp.in @t1 @t36)) % 0.47/0.65 (define @t232 () (tptp.in @t36 @t5)) % 0.47/0.65 (define @t233 () (not @t232)) % 0.47/0.65 (define @t234 () (forall @t43 (or @t233 @t40 @t231 @t155))) % 0.47/0.65 (define @t235 () (or @t221 @t234)) % 0.47/0.65 (define @t236 () (not @t42)) % 0.47/0.65 (define @t237 () (or @t236 @t40 @t39 @t38)) % 0.47/0.65 (define @t238 () (or @t175 @t190 @t174 @t95 @t189)) % 0.47/0.65 (define @t239 () (or @t192 @t238)) % 0.47/0.65 (define @t240 () (forall @t194 @t239)) % 0.47/0.65 (define @t241 () (@list @t94 @t91)) % 0.47/0.65 (define @t242 () (forall @t241 @t239)) % 0.47/0.65 (define @t243 () (forall @t241 @t238)) % 0.47/0.65 (define @t244 () (@var "BOUND_VARIABLE_7482" $$unsorted)) % 0.47/0.65 (define @t245 () (or @t192 @t243)) % 0.47/0.65 (define @t246 () (tptp.in @t2 @t244)) % 0.47/0.65 (define @t247 () (not (tptp.in @t1 @t244))) % 0.47/0.65 (define @t248 () (not (tptp.in @t244 @t5))) % 0.47/0.65 (define @t249 () (or @t169 @t201 @t248 @t247 @t246)) % 0.47/0.65 (define @t250 () (@list @t1 @t244)) % 0.47/0.65 (define @t251 () (forall @t250 @t249)) % 0.47/0.65 (define @t252 () (not @t6)) % 0.47/0.65 (define @t253 () (or @t252 @t251)) % 0.47/0.65 (define @t254 () (or @t248 @t247 @t246)) % 0.47/0.65 (define @t255 () (or @t169 @t201 @t254)) % 0.47/0.65 (define @t256 () (forall @t250 @t255)) % 0.47/0.65 (define @t257 () (@list @t244)) % 0.47/0.65 (define @t258 () (forall @t257 @t255)) % 0.47/0.65 (define @t259 () (forall @t257 @t254)) % 0.47/0.65 (define @t260 () (or @t169 @t201 @t259)) % 0.47/0.65 (define @t261 () (forall @t43 (or @t233 (not @t231) @t197))) % 0.47/0.65 (define @t262 () (or @t221 @t213 @t261)) % 0.47/0.65 (define @t263 () (or @t213 @t261)) % 0.47/0.65 (define @t264 () (not @t39)) % 0.47/0.65 (define @t265 () (or @t236 @t264 @t47)) % 0.47/0.65 (define @t266 () (forall @t43 @t265)) % 0.47/0.65 (define @t267 () (or @t213 @t266)) % 0.47/0.65 (define @t268 () (or @t213 @t265)) % 0.47/0.65 (define @t269 () (or @t236 @t213 @t264 @t47)) % 0.47/0.65 (define @t270 () (or @t213 @t264 @t47)) % 0.47/0.65 (define @t271 () (=> tptp.ordinalIrrefl @t114)) % 0.47/0.65 (define @t272 () (@var "BOUND_VARIABLE_7842" $$unsorted)) % 0.47/0.65 (define @t273 () (tptp.in @t272 @t1)) % 0.47/0.65 (define @t274 () (@var "BOUND_VARIABLE_7844" $$unsorted)) % 0.47/0.65 (define @t275 () (not (tptp.in @t272 @t274))) % 0.47/0.65 (define @t276 () (not (tptp.in @t274 @t1))) % 0.47/0.65 (define @t277 () (or @t276 @t275 @t273)) % 0.47/0.65 (define @t278 () (or @t111 @t109 @t99 @t90 @t81 @t277)) % 0.47/0.65 (define @t279 () (forall (@list @t1 @t272 @t274) @t278)) % 0.47/0.65 (define @t280 () (@list @t272 @t274)) % 0.47/0.65 (define @t281 () (forall @t280 @t278)) % 0.47/0.65 (define @t282 () (forall @t280 @t277)) % 0.47/0.65 (define @t283 () (or @t111 @t109 @t99 @t90 @t81 @t282)) % 0.47/0.65 (define @t284 () (forall @t10 (or @t128 @t192 @t200))) % 0.47/0.65 (define @t285 () (or @t131 @t109 @t99 @t90 @t81 @t284)) % 0.47/0.65 (define @t286 () (or @t24 @t252 @t4)) % 0.47/0.65 (define @t287 () (=> @t164 @t11)) % 0.47/0.65 (define @t288 () (forall @t14 @t287)) % 0.47/0.65 (define @t289 () (=> tptp.ordinalTransSet @t271)) % 0.47/0.65 (define @t290 () (or @t76 @t75)) % 0.47/0.65 (define @t291 () (or @t111 @t109 @t99 @t90 @t81 @t290)) % 0.47/0.65 (define @t292 () (forall @t113 @t291)) % 0.47/0.65 (define @t293 () (@list @t74)) % 0.47/0.65 (define @t294 () (forall @t293 @t291)) % 0.47/0.65 (define @t295 () (forall @t293 @t290)) % 0.47/0.65 (define @t296 () (or @t111 @t109 @t99 @t90 @t81 @t295)) % 0.47/0.65 (define @t297 () (forall @t19 (or @t169 @t128))) % 0.47/0.65 (define @t298 () (or @t131 @t109 @t99 @t90 @t81 @t297)) % 0.47/0.65 (define @t299 () (or @t221 @t24)) % 0.47/0.65 (define @t300 () (=> @t164 @t27)) % 0.47/0.65 (define @t301 () (forall @t14 @t300)) % 0.47/0.65 (define @t302 () (=> tptp.ordinalIrrefl @t301)) % 0.47/0.65 (define @t303 () (=> tptp.ordinalTransSet @t302)) % 0.47/0.65 (define @t304 () (@quantifiers_skolemize @t114 0)) % 0.47/0.65 (define @t305 () (forall @t97 (or (not (tptp.in @t92 @t304)) (not (tptp.in @t94 @t304)) @t96 (not (tptp.in @t91 @t304)) @t95 @t93))) % 0.47/0.65 (define @t306 () (@quantifiers_skolemize @t114 1)) % 0.47/0.65 (define @t307 () (tptp.in @t306 @t304)) % 0.47/0.65 (define @t308 () (not @t307)) % 0.47/0.65 (define @t309 () (tptp.in @t304 @t306)) % 0.47/0.65 (define @t310 () (not @t309)) % 0.47/0.65 (define @t311 () (forall @t79 (or (not (tptp.in @t77 @t304)) @t78))) % 0.47/0.65 (define @t312 () (not @t311)) % 0.47/0.65 (define @t313 () (forall @t88 (or (not (tptp.in @t82 @t304)) (not (tptp.in @t83 @t304)) @t86 @t85 @t84))) % 0.47/0.65 (define @t314 () (not @t313)) % 0.47/0.65 (define @t315 () (not @t305)) % 0.47/0.65 (define @t316 () (forall @t107 (or (not (tptp.in @t103 (tptp.powerset @t304))) @t106 @t105))) % 0.47/0.65 (define @t317 () (not @t316)) % 0.47/0.65 (define @t318 () (tptp.transitiveset @t304)) % 0.47/0.65 (define @t319 () (not @t318)) % 0.47/0.65 (define @t320 () (or @t319 @t317 @t315 @t314 @t312 @t310 @t308)) % 0.47/0.65 (define @t321 () (@list true)) % 0.47/0.65 (define @t322 () (@list @t320)) % 0.47/0.65 (define @t323 () (tptp.in @t304 @t304)) % 0.47/0.65 (define @t324 () (or @t319 @t317 @t315 @t314 @t312 @t308 @t310 @t323)) % 0.47/0.65 (define @t325 () (tptp.in @t306 @t306)) % 0.47/0.65 (define @t326 () (not @t325)) % 0.47/0.65 (define @t327 () (or @t319 @t317 @t315 @t314 @t312 @t308 @t326)) % 0.47/0.65 (define @t328 () (not @t323)) % 0.47/0.65 (define @t329 () (or @t308 @t328 @t308 @t308 @t310 @t325)) % 0.47/0.65 (define @t330 () (not @t329)) % 0.47/0.65 (assume @p1 @t16) % 0.47/0.65 (assume @p2 @t23) % 0.47/0.65 (assume @p3 @t32) % 0.47/0.65 (assume @p4 true) % 0.47/0.65 (step @p5 (= tptp.stricttotalorderedByIn @t57) :rule refl :args (@t57)) % 0.47/0.65 (step @p6 (= tptp.wellorderedByIn @t70) :rule refl :args (@t70)) % 0.47/0.65 (step @p7 (= tptp.ordinal @t73) :rule refl :args (@t73)) % 0.47/0.65 (step @p8 :rule refl :args (@t114)) % 0.47/0.65 (step @p9 :rule aci_norm :args ((= @t119 (or @t111 @t109 @t99 @t90 @t81 @t117 @t116)))) % 0.47/0.65 (step @p10 :rule cong :premises (@p9) :args (@t120)) % 0.47/0.65 (step @p11 :rule quant-merge-prenex :args ((= (forall @t14 @t122) @t120))) % 0.47/0.65 (step @p12 :rule alpha_equiv :args (@t123 (@list @t115) @t124)) % 0.47/0.65 (step @p13 :rule refl :args (@t81)) % 0.47/0.65 (step @p14 :rule refl :args (@t90)) % 0.47/0.65 (step @p15 :rule refl :args (@t99)) % 0.47/0.65 (step @p16 :rule refl :args (@t109)) % 0.47/0.65 (step @p17 :rule refl :args (@t111)) % 0.47/0.65 (step @p18 :rule nary_cong :premises (@p17 @p16 @p15 @p14 @p13 @p12) :args (@t125)) % 0.47/0.65 (step @p19 :rule quant-miniscope-or :args ((= @t122 @t125))) % 0.47/0.65 (step @p20 :rule trans :premises (@p19 @p18)) % 0.47/0.65 (step @p21 :rule symm :premises (@p20)) % 0.47/0.65 (step @p22 :rule cong :premises (@p21) :args ((forall @t14 (or @t111 @t109 @t99 @t90 @t81 @t129)))) % 0.47/0.65 (step @p23 :rule trans :premises (@p22 @p11)) % 0.47/0.65 (step @p24 :rule trans :premises (@p23 @p10)) % 0.47/0.65 (step @p25 :rule refl :args (@t129)) % 0.47/0.65 (step @p26 :rule refl :args (@t110)) % 0.47/0.65 (step @p27 :rule refl :args (@t130)) % 0.47/0.65 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t130 @t110))) % 0.47/0.65 (step @p29 :rule symm :premises (@p28)) % 0.47/0.65 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.47/0.65 (step @p31 :rule cong :premises (@p30) :args (@t131)) % 0.47/0.65 (step @p32 :rule nary_cong :premises (@p31 @p16 @p15 @p14 @p13 @p25) :args (@t132)) % 0.47/0.65 (step @p33 :rule cong :premises (@p32) :args ((forall @t14 @t132))) % 0.47/0.65 (step @p34 :rule trans :premises (@p33 @p24)) % 0.47/0.65 (step @p35 :rule aci_norm :args ((= (or @t133 @t129) @t132))) % 0.47/0.65 (step @p36 :rule aci_norm :args ((= (or @t131 (or @t109 (or @t99 (or @t90 @t81)))) @t133))) % 0.47/0.65 (step @p37 :rule bool-and-de-morgan :args (@t89 @t80 true)) % 0.47/0.65 (step @p38 :rule nary_cong :premises (@p15 @p37) :args ((or @t99 (not (and @t89 @t80))))) % 0.47/0.65 (step @p39 :rule bool-and-de-morgan :args (@t98 @t89 (and @t80))) % 0.47/0.65 (step @p40 :rule trans :premises (@p39 @p38)) % 0.47/0.65 (step @p41 :rule nary_cong :premises (@p16 @p40) :args ((or @t109 (not (and @t98 @t89 @t80))))) % 0.47/0.65 (step @p42 :rule bool-and-de-morgan :args (@t108 @t98 (and @t89 @t80))) % 0.47/0.65 (step @p43 :rule trans :premises (@p42 @p41)) % 0.47/0.65 (step @p44 :rule refl :args (@t131)) % 0.47/0.65 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t131 (not (and @t108 @t98 @t89 @t80))))) % 0.47/0.65 (step @p46 :rule bool-and-de-morgan :args (@t130 @t108 (and @t98 @t89 @t80))) % 0.47/0.65 (step @p47 :rule trans :premises (@p46 @p45)) % 0.47/0.65 (step @p48 :rule trans :premises (@p47 @p36)) % 0.47/0.65 (step @p49 :rule nary_cong :premises (@p48 @p25) :args ((or @t135 @t129))) % 0.47/0.65 (step @p50 :rule trans :premises (@p49 @p35)) % 0.47/0.65 (step @p51 :rule bool-impl-elim :args (@t134 @t129)) % 0.47/0.65 (step @p52 :rule trans :premises (@p51 @p50)) % 0.47/0.65 (step @p53 :rule cong :premises (@p52) :args ((forall @t14 (=> @t134 @t129)))) % 0.47/0.65 (step @p54 :rule trans :premises (@p53 @p34)) % 0.47/0.65 (step @p55 :rule refl :args (@t126)) % 0.47/0.65 (step @p56 :rule refl :args (@t17)) % 0.47/0.65 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t17 @t126))) % 0.47/0.65 (step @p58 :rule symm :premises (@p57)) % 0.47/0.65 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.47/0.65 (step @p60 :rule cong :premises (@p59) :args (@t18)) % 0.47/0.65 (step @p61 :rule refl :args (@t127)) % 0.47/0.65 (step @p62 :rule refl :args (@t9)) % 0.47/0.65 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t9 @t127))) % 0.47/0.65 (step @p64 :rule symm :premises (@p63)) % 0.47/0.65 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.47/0.65 (step @p66 :rule cong :premises (@p65) :args (@t24)) % 0.47/0.65 (step @p67 :rule nary_cong :premises (@p66 @p60) :args (@t136)) % 0.47/0.65 (step @p68 :rule cong :premises (@p67) :args ((forall @t19 @t136))) % 0.47/0.65 (step @p69 :rule bool-impl-elim :args (@t9 @t18)) % 0.47/0.65 (step @p70 :rule cong :premises (@p69) :args (@t20)) % 0.47/0.65 (step @p71 :rule trans :premises (@p70 @p68)) % 0.47/0.65 (step @p72 :rule beta-reduce :args ((= (_ (lambda @t54 (and @t71 @t142 @t140 (forall @t88 (or @t139 @t138 @t86 @t85 @t84)) @t137)) @t1) @t134))) % 0.47/0.65 (step @p73 :rule refl :args (@t1)) % 0.47/0.65 (step @p74 :rule refl :args (@t137)) % 0.47/0.65 (step @p75 :rule refl :args (@t84)) % 0.47/0.65 (step @p76 :rule refl :args (@t85)) % 0.47/0.65 (step @p77 :rule eq-symm :args (@t82 @t83)) % 0.47/0.65 (step @p78 :rule refl :args (@t138)) % 0.47/0.65 (step @p79 :rule refl :args (@t139)) % 0.47/0.65 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77 @p76 @p75) :args (@t143)) % 0.47/0.65 (step @p81 :rule cong :premises (@p80) :args (@t144)) % 0.47/0.65 (step @p82 :rule refl :args (@t140)) % 0.47/0.65 (step @p83 :rule refl :args (@t142)) % 0.47/0.65 (step @p84 :rule refl :args (@t71)) % 0.47/0.65 (step @p85 :rule nary_cong :premises (@p84 @p83 @p82 @p81 @p74) :args (@t145)) % 0.47/0.65 (step @p86 :rule cong :premises (@p85) :args ((lambda @t54 @t145))) % 0.47/0.65 (step @p87 :rule ho_cong :premises (@p86 @p73)) % 0.47/0.65 (step @p88 :rule trans :premises (@p87 @p72)) % 0.47/0.65 (step @p89 :rule refl :args (@t1)) % 0.47/0.65 (step @p90 :rule alpha_equiv :args (@t149 @t150 (@list @t77))) % 0.47/0.65 (step @p91 :rule alpha_equiv :args (@t154 @t150 (@list @t82))) % 0.47/0.65 (step @p92 :rule refl :args (@t140)) % 0.47/0.65 (step @p93 :rule alpha_equiv :args (@t161 @t150 (@list @t103))) % 0.47/0.65 (step @p94 :rule refl :args (@t71)) % 0.47/0.65 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92 @p91 @p90) :args (@t162)) % 0.47/0.65 (step @p96 :rule cong :premises (@p95) :args (@t163)) % 0.47/0.65 (step @p97 :rule ho_cong :premises (@p96 @p89)) % 0.47/0.65 (step @p98 :rule trans :premises (@p97 @p88)) % 0.47/0.65 (step @p99 :rule cong :premises (@p98 @p71) :args (@t165)) % 0.47/0.65 (step @p100 :rule cong :premises (@p99) :args (@t166)) % 0.47/0.65 (step @p101 :rule trans :premises (@p100 @p54)) % 0.47/0.65 (step @p102 :rule refl :args (tptp.ordinalIrrefl)) % 0.47/0.65 (step @p103 :rule cong :premises (@p102 @p101) :args ((= tptp.ordinalIrrefl @t166))) % 0.47/0.65 (step @p104 :rule refl :args (@t20)) % 0.47/0.65 (step @p105 :rule aci_norm :args ((= (and @t71 @t167) @t162))) % 0.47/0.65 (step @p106 :rule beta-reduce :args ((= (_ (lambda @t19 (and (forall @t14 (or @t179 @t160 @t158)) @t176 @t173 @t170)) @t2) @t167))) % 0.47/0.65 (step @p107 :rule refl :args (@t2)) % 0.47/0.65 (step @p108 :rule refl :args (@t170)) % 0.47/0.65 (step @p109 :rule refl :args (@t173)) % 0.47/0.65 (step @p110 :rule refl :args (@t176)) % 0.47/0.65 (step @p111 :rule refl :args (@t101)) % 0.47/0.65 (step @p112 :rule eq-symm :args (@t100 @t36)) % 0.47/0.65 (step @p113 :rule refl :args (@t156)) % 0.47/0.65 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111) :args (@t180)) % 0.47/0.65 (step @p115 :rule cong :premises (@p114) :args (@t181)) % 0.47/0.65 (step @p116 :rule cong :premises (@p115) :args (@t182)) % 0.47/0.65 (step @p117 :rule refl :args (@t157)) % 0.47/0.65 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t183)) % 0.47/0.65 (step @p119 :rule cong :premises (@p118) :args (@t184)) % 0.47/0.65 (step @p120 :rule cong :premises (@p119) :args (@t185)) % 0.47/0.65 (step @p121 :rule refl :args (@t160)) % 0.47/0.65 (step @p122 :rule refl :args (@t179)) % 0.47/0.65 (step @p123 :rule nary_cong :premises (@p122 @p121 @p120) :args (@t186)) % 0.47/0.65 (step @p124 :rule cong :premises (@p123) :args (@t187)) % 0.47/0.65 (step @p125 :rule nary_cong :premises (@p124 @p110 @p109 @p108) :args (@t188)) % 0.47/0.65 (step @p126 :rule cong 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(or @t111 @t109 @t99 @t90 @t81 @t284)))) % 0.47/0.65 (step @p395 :rule trans :premises (@p394 @p388)) % 0.47/0.65 (step @p396 :rule trans :premises (@p395 @p387)) % 0.47/0.65 (step @p397 :rule refl :args (@t284)) % 0.47/0.65 (step @p398 :rule nary_cong :premises (@p31 @p16 @p15 @p14 @p13 @p397) :args (@t285)) % 0.47/0.65 (step @p399 :rule cong :premises (@p398) :args ((forall @t14 @t285))) % 0.47/0.65 (step @p400 :rule trans :premises (@p399 @p396)) % 0.47/0.65 (step @p401 :rule aci_norm :args ((= (or @t133 @t284) @t285))) % 0.47/0.65 (step @p402 :rule nary_cong :premises (@p48 @p397) :args ((or @t135 @t284))) % 0.47/0.65 (step @p403 :rule trans :premises (@p402 @p401)) % 0.47/0.65 (step @p404 :rule bool-impl-elim :args (@t134 @t284)) % 0.47/0.65 (step @p405 :rule trans :premises (@p404 @p403)) % 0.47/0.65 (step @p406 :rule cong :premises (@p405) :args ((forall @t14 (=> @t134 @t284)))) % 0.47/0.65 (step @p407 :rule trans :premises (@p406 @p400)) % 0.47/0.65 (step @p408 :rule nary_cong :premises (@p66 @p307 @p186) :args (@t286)) % 0.47/0.65 (step @p409 :rule cong :premises (@p408) :args ((forall @t10 @t286))) % 0.47/0.65 (step @p410 :rule aci_norm :args ((= (or @t24 (or @t252 @t4)) @t286))) % 0.47/0.65 (step @p411 :rule bool-impl-elim :args (@t6 @t4)) % 0.47/0.65 (step @p412 :rule refl :args (@t24)) % 0.47/0.65 (step @p413 :rule nary_cong :premises (@p412 @p411) :args ((or @t24 @t7))) % 0.47/0.65 (step @p414 :rule trans :premises (@p413 @p410)) % 0.47/0.65 (step @p415 :rule bool-impl-elim :args (@t9 @t7)) % 0.47/0.65 (step @p416 :rule trans :premises (@p415 @p414)) % 0.47/0.65 (step @p417 :rule cong :premises (@p416) :args (@t11)) % 0.47/0.65 (step @p418 :rule trans :premises (@p417 @p409)) % 0.47/0.65 (step @p419 :rule cong :premises (@p98 @p418) :args (@t287)) % 0.47/0.65 (step @p420 :rule cong :premises (@p419) :args (@t288)) % 0.47/0.65 (step @p421 :rule trans :premises (@p420 @p407)) % 0.47/0.65 (step @p422 :rule refl :args (tptp.ordinalTransSet)) % 0.47/0.65 (step @p423 :rule cong :premises (@p422 @p421) :args ((= tptp.ordinalTransSet @t288))) % 0.47/0.65 (step @p424 :rule refl :args (@t11)) % 0.47/0.65 (step @p425 :rule cong :premises (@p379 @p424) :args (@t13)) % 0.47/0.65 (step @p426 :rule cong :premises (@p425) :args (@t15)) % 0.47/0.65 (step @p427 :rule cong :premises (@p422 @p426) :args (@t16)) % 0.47/0.65 (step @p428 :rule trans :premises (@p427 @p423)) % 0.47/0.65 (step @p429 :rule eq_resolve :premises (@p1 @p428)) % 0.47/0.65 (step @p430 :rule cong :premises (@p429 @p385) :args (@t289)) % 0.47/0.65 (step @p431 :rule cong :premises (@p430) :args ((not @t289))) % 0.47/0.65 (step @p432 :rule aci_norm :args ((= @t291 @t112))) % 0.47/0.65 (step @p433 :rule cong :premises (@p432) :args (@t292)) % 0.47/0.65 (step @p434 :rule quant-merge-prenex :args ((= (forall @t14 @t294) @t292))) % 0.47/0.65 (step @p435 :rule alpha_equiv :args (@t295 (@list @t74) @t124)) % 0.47/0.65 (step @p436 :rule nary_cong :premises (@p17 @p16 @p15 @p14 @p13 @p435) :args (@t296)) % 0.47/0.65 (step @p437 :rule quant-miniscope-or :args ((= @t294 @t296))) % 0.47/0.65 (step @p438 :rule trans :premises (@p437 @p436)) % 0.47/0.65 (step @p439 :rule symm :premises (@p438)) % 0.47/0.65 (step @p440 :rule cong :premises (@p439) :args ((forall @t14 (or @t111 @t109 @t99 @t90 @t81 @t297)))) % 0.47/0.65 (step @p441 :rule trans :premises (@p440 @p434)) % 0.47/0.65 (step @p442 :rule trans :premises (@p441 @p433)) % 0.47/0.65 (step @p443 :rule refl :args (@t297)) % 0.47/0.65 (step @p444 :rule nary_cong :premises (@p31 @p16 @p15 @p14 @p13 @p443) :args (@t298)) % 0.47/0.65 (step @p445 :rule cong :premises (@p444) :args ((forall @t14 @t298))) % 0.47/0.65 (step @p446 :rule trans :premises (@p445 @p442)) % 0.47/0.65 (step @p447 :rule aci_norm :args ((= (or @t133 @t297) @t298))) % 0.47/0.65 (step @p448 :rule nary_cong :premises (@p48 @p443) :args ((or @t135 @t297))) % 0.47/0.65 (step @p449 :rule trans :premises (@p448 @p447)) % 0.47/0.65 (step @p450 :rule bool-impl-elim :args (@t134 @t297)) % 0.47/0.65 (step @p451 :rule trans :premises (@p450 @p449)) % 0.47/0.65 (step @p452 :rule cong :premises (@p451) :args ((forall @t14 (=> @t134 @t297)))) % 0.47/0.65 (step @p453 :rule trans :premises (@p452 @p446)) % 0.47/0.65 (step @p454 :rule nary_cong :premises (@p241 @p66) :args (@t299)) % 0.47/0.65 (step @p455 :rule cong :premises (@p454) :args ((forall @t19 @t299))) % 0.47/0.65 (step @p456 :rule bool-impl-elim :args (@t26 @t24)) % 0.47/0.65 (step @p457 :rule cong :premises (@p456) :args (@t27)) % 0.47/0.65 (step @p458 :rule trans :premises (@p457 @p455)) % 0.47/0.65 (step @p459 :rule cong :premises (@p98 @p458) :args (@t300)) % 0.47/0.65 (step @p460 :rule cong :premises (@p459) :args (@t301)) % 0.47/0.65 (step @p461 :rule trans :premises (@p460 @p453)) % 0.47/0.65 (step @p462 :rule cong :premises (@p102 @p461) :args (@t302)) % 0.47/0.65 (step @p463 :rule cong :premises (@p422 @p462) :args (@t303)) % 0.47/0.65 (step @p464 :rule cong :premises (@p463) :args ((not @t303))) % 0.47/0.65 (step @p465 :rule refl :args (@t27)) % 0.47/0.65 (step @p466 :rule cong :premises (@p379 @p465) :args (@t28)) % 0.47/0.65 (step @p467 :rule cong :premises (@p466) :args (@t29)) % 0.47/0.65 (step @p468 :rule cong :premises (@p102 @p467) :args (@t30)) % 0.47/0.65 (step @p469 :rule cong :premises (@p422 @p468) :args (@t31)) % 0.47/0.65 (step @p470 :rule cong :premises (@p469) :args (@t32)) % 0.47/0.65 (step @p471 :rule trans :premises (@p470 @p464)) % 0.47/0.65 (step @p472 :rule trans :premises (@p471 @p431)) % 0.47/0.65 (step @p473 :rule eq_resolve :premises (@p3 @p472)) % 0.47/0.65 (step @p474 :rule not_implies_elim2 :premises (@p473)) % 0.47/0.65 (step @p475 :rule not_implies_elim2 :premises (@p474)) % 0.47/0.65 (step @p476 :rule skolemize :premises (@p475)) % 0.47/0.65 (step @p477 :rule bool-double-not-elim :args (@t305)) % 0.47/0.65 (step @p478 :rule refl :args (@t320)) % 0.47/0.65 (step @p479 :rule nary_cong :premises (@p478 @p477) :args ((or @t320 (not @t315)))) % 0.47/0.65 (step @p480 :rule cnf_or_neg :args (@t320 2)) % 0.47/0.65 (step @p481 :rule eq_resolve :premises (@p480 @p479)) % 0.47/0.65 (step @p482 :rule reordering :premises (@p481) :args ((or @t305 @t320))) % 0.47/0.65 (step @p483 :rule chain_m_resolution :premises (@p482 @p476) :args (@t305 @t321 @t322)) % 0.47/0.65 (step @p484 :rule not_implies_elim1 :premises (@p473)) % 0.47/0.65 (step @p485 :rule instantiate :premises (@p484) :args ((@list @t304 @t304 @t306))) % 0.47/0.65 (step @p486 :rule bool-double-not-elim :args (@t307)) % 0.47/0.65 (step @p487 :rule nary_cong :premises (@p478 @p486) :args ((or @t320 (not @t308)))) % 0.47/0.65 (step @p488 :rule cnf_or_neg :args (@t320 6)) % 0.47/0.65 (step @p489 :rule eq_resolve :premises (@p488 @p487)) % 0.47/0.65 (step @p490 :rule reordering :premises (@p489) :args ((or @t307 @t320))) % 0.47/0.65 (step @p491 :rule chain_m_resolution :premises (@p490 @p476) :args (@t307 @t321 @t322)) % 0.47/0.65 (step @p492 :rule bool-double-not-elim :args (@t309)) % 0.47/0.65 (step @p493 :rule nary_cong :premises (@p478 @p492) :args ((or @t320 (not @t310)))) % 0.47/0.65 (step @p494 :rule cnf_or_neg :args (@t320 5)) % 0.47/0.65 (step @p495 :rule eq_resolve :premises (@p494 @p493)) % 0.47/0.65 (step @p496 :rule reordering :premises (@p495) :args ((or @t309 @t320))) % 0.47/0.65 (step @p497 :rule chain_m_resolution :premises (@p496 @p476) :args (@t309 @t321 @t322)) % 0.47/0.65 (step @p498 :rule bool-double-not-elim :args (@t311)) % 0.47/0.65 (step @p499 :rule nary_cong :premises (@p478 @p498) :args ((or @t320 (not @t312)))) % 0.47/0.65 (step @p500 :rule cnf_or_neg :args (@t320 4)) % 0.47/0.65 (step @p501 :rule eq_resolve :premises (@p500 @p499)) % 0.47/0.65 (step @p502 :rule reordering :premises (@p501) :args ((or @t311 @t320))) % 0.47/0.65 (step @p503 :rule chain_m_resolution :premises (@p502 @p476) :args (@t311 @t321 @t322)) % 0.47/0.65 (step @p504 :rule bool-double-not-elim :args (@t313)) % 0.47/0.65 (step @p505 :rule nary_cong :premises (@p478 @p504) :args ((or @t320 (not @t314)))) % 0.47/0.65 (step @p506 :rule cnf_or_neg :args (@t320 3)) % 0.47/0.65 (step @p507 :rule eq_resolve :premises (@p506 @p505)) % 0.47/0.65 (step @p508 :rule reordering :premises (@p507) :args ((or @t313 @t320))) % 0.47/0.65 (step @p509 :rule chain_m_resolution :premises (@p508 @p476) :args (@t313 @t321 @t322)) % 0.47/0.65 (step @p510 :rule bool-double-not-elim :args (@t316)) % 0.47/0.65 (step @p511 :rule nary_cong :premises (@p478 @p510) :args ((or @t320 (not @t317)))) % 0.47/0.65 (step @p512 :rule cnf_or_neg :args (@t320 1)) % 0.47/0.65 (step @p513 :rule eq_resolve :premises (@p512 @p511)) % 0.47/0.65 (step @p514 :rule reordering :premises (@p513) :args ((or @t316 @t320))) % 0.47/0.65 (step @p515 :rule chain_m_resolution :premises (@p514 @p476) :args (@t316 @t321 @t322)) % 0.47/0.65 (step @p516 :rule bool-double-not-elim :args (@t318)) % 0.47/0.65 (step @p517 :rule nary_cong :premises (@p478 @p516) :args ((or @t320 (not @t319)))) % 0.47/0.65 (step @p518 :rule cnf_or_neg :args (@t320 0)) % 0.47/0.65 (step @p519 :rule eq_resolve :premises (@p518 @p517)) % 0.47/0.65 (step @p520 :rule reordering :premises (@p519) :args ((or @t318 @t320))) % 0.47/0.65 (step @p521 :rule chain_m_resolution :premises (@p520 @p476) :args (@t318 @t321 @t322)) % 0.47/0.65 (step @p522 :rule cnf_or_pos :args (@t324)) % 0.47/0.65 (step @p523 :rule reordering :premises (@p522) :args ((or @t319 @t317 @t315 @t314 @t312 @t310 @t308 @t323 (not @t324)))) % 0.47/0.65 (step @p524 :rule chain_m_resolution :premises (@p523 @p521 @p515 @p483 @p509 @p503 @p497 @p491 @p485) :args (@t323 (@list false false false false false false false false) (@list @t318 @t316 @t305 @t313 @t311 @t309 @t307 @t324))) % 0.47/0.65 (step @p525 :rule not_implies_elim1 :premises (@p474)) % 0.47/0.65 (step @p526 :rule instantiate :premises (@p525) :args ((@list @t304 @t306))) % 0.47/0.65 (step @p527 :rule cnf_or_pos :args (@t327)) % 0.47/0.65 (step @p528 :rule reordering :premises (@p527) :args ((or @t319 @t317 @t315 @t314 @t312 @t308 @t326 (not @t327)))) % 0.47/0.65 (step @p529 :rule chain_m_resolution :premises (@p528 @p521 @p515 @p483 @p509 @p503 @p491 @p526) :args (@t326 (@list false false false false false false false) (@list @t318 @t316 @t305 @t313 @t311 @t307 @t327))) % 0.47/0.65 (step @p530 :rule cnf_or_pos :args (@t329)) % 0.47/0.65 (step @p531 :rule factoring :premises (@p530)) % 0.47/0.65 (step @p532 :rule reordering :premises (@p531) :args ((or @t310 @t308 @t325 @t328 @t330))) % 0.47/0.65 (step @p533 :rule chain_m_resolution :premises (@p532 @p497 @p491 @p529 @p524) :args (@t330 (@list false false true false) (@list @t309 @t307 @t325 @t323))) % 0.47/0.65 (assume-push @p540 @t305) % 0.47/0.65 (step @p535 :rule instantiate :premises (@p483) :args ((@list @t306 @t304 @t306))) % 0.47/0.65 (step-pop @p541 :rule scope :premises (@p535)) % 0.47/0.65 (step @p536 :rule process_scope :premises (@p541) :args (@t329)) % 0.47/0.65 (step @p538 :rule implies_elim :premises (@p536)) % 0.47/0.65 (step @p539 false :rule chain_m_resolution :premises (@p538 @p533 @p483) :args (false (@list true false) (@list @t329 @t305))) % 0.47/0.65 ) % 0.47/0.65 % SZS output end Proof % 0.47/0.65 % cvc5 exiting %------------------------------------------------------------------------------