%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN060+2 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:42:51 AM UTC 2026 % Result : Theorem 15.37s 15.74s % Output : Proof 15.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUN060+2 : TPTP v9.2.1. Released v7.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.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 12:38:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.37/15.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.37/15.74 --- Run --no-e-matching --full-saturate-quant at 6... % 15.37/15.74 % SZS status Theorem % 15.37/15.74 % SZS output start Proof % 15.37/15.74 ( % 15.37/15.74 (declare-sort $$unsorted 0) % 15.37/15.74 (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.37/15.74 (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.37/15.74 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 15.37/15.74 (declare-const tptp.r1 (-> $$unsorted Bool)) % 15.37/15.74 (define @t1 () (@var "Y24" $$unsorted)) % 15.37/15.74 (define @t2 () (@var "X19" $$unsorted)) % 15.37/15.74 (define @t3 () (= @t2 @t1)) % 15.37/15.74 (define @t4 () (tptp.r1 @t2)) % 15.37/15.74 (define @t5 () (and @t4 @t3)) % 15.37/15.74 (define @t6 () (not @t3)) % 15.37/15.74 (define @t7 () (not @t4)) % 15.37/15.74 (define @t8 () (and @t7 @t6)) % 15.37/15.74 (define @t9 () (or @t8 @t5)) % 15.37/15.74 (define @t10 () (@list @t2)) % 15.37/15.74 (define @t11 () (forall @t10 @t9)) % 15.37/15.74 (define @t12 () (@list @t1)) % 15.37/15.74 (define @t13 () (exists @t12 @t11)) % 15.37/15.74 (define @t14 () (@var "Y21" $$unsorted)) % 15.37/15.74 (define @t15 () (@var "X12" $$unsorted)) % 15.37/15.74 (define @t16 () (= @t15 @t14)) % 15.37/15.74 (define @t17 () (@var "X11" $$unsorted)) % 15.37/15.74 (define @t18 () (tptp.r2 @t17 @t15)) % 15.37/15.74 (define @t19 () (and @t18 @t16)) % 15.37/15.74 (define @t20 () (not @t16)) % 15.37/15.74 (define @t21 () (not @t18)) % 15.37/15.74 (define @t22 () (and @t21 @t20)) % 15.37/15.74 (define @t23 () (or @t22 @t19)) % 15.37/15.74 (define @t24 () (@list @t15)) % 15.37/15.74 (define @t25 () (forall @t24 @t23)) % 15.37/15.74 (define @t26 () (@list @t14)) % 15.37/15.74 (define @t27 () (exists @t26 @t25)) % 15.37/15.74 (define @t28 () (forall (@list @t17) @t27)) % 15.37/15.74 (define @t29 () (@var "Y22" $$unsorted)) % 15.37/15.74 (define @t30 () (@var "X15" $$unsorted)) % 15.37/15.74 (define @t31 () (= @t30 @t29)) % 15.37/15.74 (define @t32 () (@var "X14" $$unsorted)) % 15.37/15.74 (define @t33 () (@var "X13" $$unsorted)) % 15.37/15.74 (define @t34 () (tptp.r3 @t33 @t32 @t30)) % 15.37/15.74 (define @t35 () (@var "Y23" $$unsorted)) % 15.37/15.74 (define @t36 () (@var "X18" $$unsorted)) % 15.37/15.74 (define @t37 () (= @t36 @t35)) % 15.37/15.74 (define @t38 () (@var "X17" $$unsorted)) % 15.37/15.74 (define @t39 () (@var "X16" $$unsorted)) % 15.37/15.74 (define @t40 () (tptp.r4 @t39 @t38 @t36)) % 15.37/15.74 (define @t41 () (@var "Y7" $$unsorted)) % 15.37/15.74 (define @t42 () (@var "X8" $$unsorted)) % 15.37/15.74 (define @t43 () (@var "X1" $$unsorted)) % 15.37/15.74 (define @t44 () (tptp.r3 @t43 @t42 @t41)) % 15.37/15.74 (define @t45 () (@var "Y4" $$unsorted)) % 15.37/15.74 (define @t46 () (tptp.r2 @t41 @t45)) % 15.37/15.74 (define @t47 () (and @t46 @t44)) % 15.37/15.74 (define @t48 () (@list @t41)) % 15.37/15.74 (define @t49 () (exists @t48 @t47)) % 15.37/15.74 (define @t50 () (@var "Y5" $$unsorted)) % 15.37/15.74 (define @t51 () (= @t50 @t45)) % 15.37/15.74 (define @t52 () (@var "Y15" $$unsorted)) % 15.37/15.74 (define @t53 () (tptp.r3 @t43 @t52 @t50)) % 15.37/15.74 (define @t54 () (tptp.r2 @t42 @t52)) % 15.37/15.74 (define @t55 () (and @t54 @t53)) % 15.37/15.74 (define @t56 () (@list @t52)) % 15.37/15.74 (define @t57 () (exists @t56 @t55)) % 15.37/15.74 (define @t58 () (and @t57 @t51)) % 15.37/15.74 (define @t59 () (@list @t50)) % 15.37/15.74 (define @t60 () (exists @t59 @t58)) % 15.37/15.74 (define @t61 () (and @t60 @t49)) % 15.37/15.74 (define @t62 () (@list @t45)) % 15.37/15.74 (define @t63 () (exists @t62 @t61)) % 15.37/15.74 (define @t64 () (forall (@list @t43 @t42) @t63)) % 15.37/15.74 (define @t65 () (@var "Y6" $$unsorted)) % 15.37/15.74 (define @t66 () (@var "X9" $$unsorted)) % 15.37/15.74 (define @t67 () (@var "X2" $$unsorted)) % 15.37/15.74 (define @t68 () (@var "Y2" $$unsorted)) % 15.37/15.74 (define @t69 () (@list @t65)) % 15.37/15.74 (define @t70 () (@var "Y3" $$unsorted)) % 15.37/15.74 (define @t71 () (@var "Y14" $$unsorted)) % 15.37/15.74 (define @t72 () (@list @t70)) % 15.37/15.74 (define @t73 () (@var "X10" $$unsorted)) % 15.37/15.74 (define @t74 () (@var "X3" $$unsorted)) % 15.37/15.74 (define @t75 () (@var "Y12" $$unsorted)) % 15.37/15.74 (define @t76 () (@var "Y13" $$unsorted)) % 15.37/15.74 (define @t77 () (@var "X4" $$unsorted)) % 15.37/15.74 (define @t78 () (@var "Y9" $$unsorted)) % 15.37/15.74 (define @t79 () (@var "Y16" $$unsorted)) % 15.37/15.74 (define @t80 () (@var "Y18" $$unsorted)) % 15.37/15.74 (define @t81 () (@var "Y8" $$unsorted)) % 15.37/15.74 (define @t82 () (@var "Y17" $$unsorted)) % 15.37/15.74 (define @t83 () (@var "X5" $$unsorted)) % 15.37/15.74 (define @t84 () (@list @t81)) % 15.37/15.74 (define @t85 () (@var "Y11" $$unsorted)) % 15.37/15.74 (define @t86 () (@var "X6" $$unsorted)) % 15.37/15.74 (define @t87 () (@var "Y1" $$unsorted)) % 15.37/15.74 (define @t88 () (@var "Y19" $$unsorted)) % 15.37/15.74 (define @t89 () (@var "Y10" $$unsorted)) % 15.37/15.74 (define @t90 () (@var "X7" $$unsorted)) % 15.37/15.74 (define @t91 () (@var "Y20" $$unsorted)) % 15.37/15.74 (define @t92 () (tptp.r2 @t81 @t41)) % 15.37/15.74 (define @t93 () (tptp.r1 @t81)) % 15.37/15.74 (define @t94 () (and @t93 @t92)) % 15.37/15.74 (define @t95 () (exists @t84 @t94)) % 15.37/15.74 (define @t96 () (tptp.r2 @t41 @t65)) % 15.37/15.74 (define @t97 () (and @t96 @t95)) % 15.37/15.74 (define @t98 () (exists @t48 @t97)) % 15.37/15.74 (define @t99 () (tptp.r2 @t65 @t50)) % 15.37/15.74 (define @t100 () (and @t99 @t98)) % 15.37/15.74 (define @t101 () (exists @t69 @t100)) % 15.37/15.74 (define @t102 () (tptp.r2 @t50 @t45)) % 15.37/15.74 (define @t103 () (and @t102 @t101)) % 15.37/15.74 (define @t104 () (exists @t59 @t103)) % 15.37/15.74 (define @t105 () (tptp.r3 @t68 @t45 @t70)) % 15.37/15.74 (define @t106 () (and @t105 @t104)) % 15.37/15.74 (define @t107 () (exists @t62 @t106)) % 15.37/15.74 (define @t108 () (= @t70 @t87)) % 15.37/15.74 (define @t109 () (and @t108 @t107)) % 15.37/15.74 (define @t110 () (@list @t87 @t68 @t70)) % 15.37/15.74 (define @t111 () (exists @t110 @t109)) % 15.37/15.74 (define @t112 () (not @t111)) % 15.37/15.74 (define @t113 () (@var "BOUND_VARIABLE_8264" $$unsorted)) % 15.37/15.74 (define @t114 () (@var "BOUND_VARIABLE_8266" $$unsorted)) % 15.37/15.74 (define @t115 () (not (tptp.r2 @t114 @t113))) % 15.37/15.74 (define @t116 () (not (tptp.r1 @t114))) % 15.37/15.74 (define @t117 () (@var "BOUND_VARIABLE_8262" $$unsorted)) % 15.37/15.74 (define @t118 () (not (tptp.r2 @t113 @t117))) % 15.37/15.74 (define @t119 () (@var "BOUND_VARIABLE_8260" $$unsorted)) % 15.37/15.74 (define @t120 () (not (tptp.r2 @t117 @t119))) % 15.37/15.74 (define @t121 () (@var "BOUND_VARIABLE_8258" $$unsorted)) % 15.37/15.74 (define @t122 () (not (tptp.r2 @t119 @t121))) % 15.37/15.74 (define @t123 () (not (tptp.r3 @t68 @t121 @t87))) % 15.37/15.74 (define @t124 () (or @t123 @t122 @t120 @t118 @t116 @t115)) % 15.37/15.74 (define @t125 () (@list @t87 @t68 @t121 @t119 @t117 @t113 @t114)) % 15.37/15.74 (define @t126 () (forall @t125 @t124)) % 15.37/15.74 (define @t127 () (not (= @t87 @t87))) % 15.37/15.74 (define @t128 () (or @t127 @t123 @t122 @t120 @t118 @t116 @t115)) % 15.37/15.74 (define @t129 () (not (tptp.r3 @t68 @t121 @t70))) % 15.37/15.74 (define @t130 () (not @t108)) % 15.37/15.74 (define @t131 () (or @t130 @t130 @t129 @t122 @t120 @t118 @t116 @t115)) % 15.37/15.74 (define @t132 () (or @t130 @t129 @t122 @t120 @t118 @t116 @t115)) % 15.37/15.74 (define @t133 () (forall @t72 @t132)) % 15.37/15.74 (define @t134 () (forall @t125 @t133)) % 15.37/15.74 (define @t135 () (forall (@list @t87 @t68 @t121 @t119 @t117 @t113 @t114 @t70) @t132)) % 15.37/15.74 (define @t136 () (@list @t87 @t68 @t70 @t121 @t119 @t117 @t113 @t114)) % 15.37/15.74 (define @t137 () (or @t129 @t122 @t120 @t118 @t116 @t115)) % 15.37/15.74 (define @t138 () (or @t130 @t137)) % 15.37/15.74 (define @t139 () (forall @t136 @t138)) % 15.37/15.74 (define @t140 () (@list @t121 @t119 @t117 @t113 @t114)) % 15.37/15.74 (define @t141 () (forall @t140 @t138)) % 15.37/15.74 (define @t142 () (forall @t140 @t137)) % 15.37/15.74 (define @t143 () (@var "BOUND_VARIABLE_8231" $$unsorted)) % 15.37/15.74 (define @t144 () (@var "BOUND_VARIABLE_8229" $$unsorted)) % 15.37/15.74 (define @t145 () (@var "BOUND_VARIABLE_8227" $$unsorted)) % 15.37/15.74 (define @t146 () (@var "BOUND_VARIABLE_8225" $$unsorted)) % 15.37/15.74 (define @t147 () (or @t130 @t142)) % 15.37/15.74 (define @t148 () (not (tptp.r2 @t143 @t144))) % 15.37/15.74 (define @t149 () (not (tptp.r1 @t143))) % 15.37/15.74 (define @t150 () (not (tptp.r2 @t144 @t145))) % 15.37/15.74 (define @t151 () (not (tptp.r2 @t145 @t146))) % 15.37/15.74 (define @t152 () (not (tptp.r2 @t146 @t45))) % 15.37/15.74 (define @t153 () (not @t105)) % 15.37/15.74 (define @t154 () (or @t153 @t152 @t151 @t150 @t149 @t148)) % 15.37/15.74 (define @t155 () (@list @t45 @t146 @t145 @t144 @t143)) % 15.37/15.74 (define @t156 () (forall @t155 @t154)) % 15.37/15.74 (define @t157 () (not @t156)) % 15.37/15.74 (define @t158 () (and @t108 @t157)) % 15.37/15.74 (define @t159 () (forall @t110 (not @t158))) % 15.37/15.74 (define @t160 () (not @t159)) % 15.37/15.74 (define @t161 () (or @t152 @t151 @t150 @t149 @t148)) % 15.37/15.74 (define @t162 () (or @t153 @t161)) % 15.37/15.74 (define @t163 () (forall @t155 @t162)) % 15.37/15.74 (define @t164 () (@list @t146 @t145 @t144 @t143)) % 15.37/15.74 (define @t165 () (forall @t164 @t162)) % 15.37/15.74 (define @t166 () (forall @t164 @t161)) % 15.37/15.74 (define @t167 () (@var "BOUND_VARIABLE_8200" $$unsorted)) % 15.37/15.74 (define @t168 () (@var "BOUND_VARIABLE_8198" $$unsorted)) % 15.37/15.74 (define @t169 () (@var "BOUND_VARIABLE_8196" $$unsorted)) % 15.37/15.74 (define @t170 () (or @t153 @t166)) % 15.37/15.74 (define @t171 () (not (tptp.r2 @t167 @t168))) % 15.37/15.74 (define @t172 () (not (tptp.r1 @t167))) % 15.37/15.74 (define @t173 () (not (tptp.r2 @t168 @t169))) % 15.37/15.74 (define @t174 () (not (tptp.r2 @t169 @t50))) % 15.37/15.74 (define @t175 () (not @t102)) % 15.37/15.74 (define @t176 () (or @t175 @t174 @t173 @t172 @t171)) % 15.37/15.74 (define @t177 () (@list @t50 @t169 @t168 @t167)) % 15.37/15.74 (define @t178 () (forall @t177 @t176)) % 15.37/15.74 (define @t179 () (not @t178)) % 15.37/15.74 (define @t180 () (and @t105 @t179)) % 15.37/15.74 (define @t181 () (forall @t62 (not @t180))) % 15.37/15.74 (define @t182 () (not @t181)) % 15.37/15.74 (define @t183 () (or @t174 @t173 @t172 @t171)) % 15.37/15.74 (define @t184 () (or @t175 @t183)) % 15.37/15.74 (define @t185 () (forall @t177 @t184)) % 15.37/15.74 (define @t186 () (@list @t169 @t168 @t167)) % 15.37/15.74 (define @t187 () (forall @t186 @t184)) % 15.37/15.74 (define @t188 () (forall @t186 @t183)) % 15.37/15.74 (define @t189 () (@var "BOUND_VARIABLE_8173" $$unsorted)) % 15.37/15.74 (define @t190 () (@var "BOUND_VARIABLE_8171" $$unsorted)) % 15.37/15.74 (define @t191 () (or @t175 @t188)) % 15.37/15.74 (define @t192 () (not (tptp.r2 @t189 @t190))) % 15.37/15.74 (define @t193 () (not (tptp.r1 @t189))) % 15.37/15.74 (define @t194 () (not (tptp.r2 @t190 @t65))) % 15.37/15.74 (define @t195 () (not @t99)) % 15.37/15.74 (define @t196 () (or @t195 @t194 @t193 @t192)) % 15.37/15.74 (define @t197 () (@list @t65 @t190 @t189)) % 15.37/15.74 (define @t198 () (forall @t197 @t196)) % 15.37/15.74 (define @t199 () (not @t198)) % 15.37/15.74 (define @t200 () (and @t102 @t199)) % 15.37/15.74 (define @t201 () (forall @t59 (not @t200))) % 15.37/15.74 (define @t202 () (not @t201)) % 15.37/15.74 (define @t203 () (or @t194 @t193 @t192)) % 15.37/15.74 (define @t204 () (or @t195 @t203)) % 15.37/15.74 (define @t205 () (forall @t197 @t204)) % 15.37/15.74 (define @t206 () (@list @t190 @t189)) % 15.37/15.74 (define @t207 () (forall @t206 @t204)) % 15.37/15.74 (define @t208 () (forall @t206 @t203)) % 15.37/15.74 (define @t209 () (@var "BOUND_VARIABLE_8150" $$unsorted)) % 15.37/15.74 (define @t210 () (or @t195 @t208)) % 15.37/15.74 (define @t211 () (not (tptp.r2 @t209 @t41))) % 15.37/15.74 (define @t212 () (not (tptp.r1 @t209))) % 15.37/15.74 (define @t213 () (not @t96)) % 15.37/15.74 (define @t214 () (or @t213 @t212 @t211)) % 15.37/15.74 (define @t215 () (@list @t41 @t209)) % 15.37/15.74 (define @t216 () (forall @t215 @t214)) % 15.37/15.74 (define @t217 () (not @t216)) % 15.37/15.74 (define @t218 () (and @t99 @t217)) % 15.37/15.74 (define @t219 () (forall @t69 (not @t218))) % 15.37/15.74 (define @t220 () (not @t219)) % 15.37/15.74 (define @t221 () (or @t212 @t211)) % 15.37/15.74 (define @t222 () (or @t213 @t221)) % 15.37/15.74 (define @t223 () (forall @t215 @t222)) % 15.37/15.74 (define @t224 () (@list @t209)) % 15.37/15.74 (define @t225 () (forall @t224 @t222)) % 15.37/15.74 (define @t226 () (forall @t224 @t221)) % 15.37/15.74 (define @t227 () (or @t213 @t226)) % 15.37/15.74 (define @t228 () (forall @t84 (or (not @t93) (not @t92)))) % 15.37/15.74 (define @t229 () (not @t228)) % 15.37/15.74 (define @t230 () (and @t96 @t229)) % 15.37/15.74 (define @t231 () (forall @t48 (not @t230))) % 15.37/15.74 (define @t232 () (not @t231)) % 15.37/15.74 (define @t233 () (forall @t84 (not @t94))) % 15.37/15.74 (define @t234 () (not @t233)) % 15.37/15.74 (define @t235 () (@var "BOUND_VARIABLE_7886" $$unsorted)) % 15.37/15.74 (define @t236 () (not (tptp.r3 @t43 @t42 @t235))) % 15.37/15.74 (define @t237 () (not (tptp.r2 @t235 @t45))) % 15.37/15.74 (define @t238 () (@var "BOUND_VARIABLE_7879" $$unsorted)) % 15.37/15.74 (define @t239 () (not (tptp.r3 @t43 @t238 @t45))) % 15.37/15.74 (define @t240 () (not (tptp.r2 @t42 @t238))) % 15.37/15.74 (define @t241 () (or @t237 @t236)) % 15.37/15.74 (define @t242 () (or @t240 @t239)) % 15.37/15.74 (define @t243 () (or @t242 @t241)) % 15.37/15.74 (define @t244 () (@list @t45 @t238 @t235)) % 15.37/15.74 (define @t245 () (forall @t244 @t243)) % 15.37/15.74 (define @t246 () (forall (@list @t238 @t235) @t243)) % 15.37/15.74 (define @t247 () (forall (@list @t235) @t241)) % 15.37/15.74 (define @t248 () (forall (@list @t238) @t242)) % 15.37/15.74 (define @t249 () (@var "BOUND_VARIABLE_7841" $$unsorted)) % 15.37/15.74 (define @t250 () (@list @t249)) % 15.37/15.74 (define @t251 () (or @t248 @t247)) % 15.37/15.74 (define @t252 () (forall @t48 (or (not @t46) (not @t44)))) % 15.37/15.74 (define @t253 () (not (tptp.r3 @t43 @t249 @t45))) % 15.37/15.74 (define @t254 () (not (tptp.r2 @t42 @t249))) % 15.37/15.74 (define @t255 () (or @t254 @t253)) % 15.37/15.74 (define @t256 () (@list @t249)) % 15.37/15.74 (define @t257 () (forall @t256 @t255)) % 15.37/15.74 (define @t258 () (not @t252)) % 15.37/15.74 (define @t259 () (not @t257)) % 15.37/15.74 (define @t260 () (and @t259 @t258)) % 15.37/15.74 (define @t261 () (forall @t62 (not @t260))) % 15.37/15.74 (define @t262 () (not @t261)) % 15.37/15.74 (define @t263 () (forall @t48 (not @t47))) % 15.37/15.74 (define @t264 () (not @t263)) % 15.37/15.74 (define @t265 () (not (= @t45 @t45))) % 15.37/15.74 (define @t266 () (or @t265 @t254 @t253)) % 15.37/15.74 (define @t267 () (not (tptp.r3 @t43 @t249 @t50))) % 15.37/15.74 (define @t268 () (= @t45 @t50)) % 15.37/15.74 (define @t269 () (not @t268)) % 15.37/15.74 (define @t270 () (or @t269 @t269 @t254 @t267)) % 15.37/15.74 (define @t271 () (or @t269 @t254 @t267)) % 15.37/15.74 (define @t272 () (forall @t59 @t271)) % 15.37/15.74 (define @t273 () (forall @t256 @t272)) % 15.37/15.74 (define @t274 () (forall (@list @t249 @t50) @t271)) % 15.37/15.74 (define @t275 () (@list @t50 @t249)) % 15.37/15.74 (define @t276 () (or @t254 @t267)) % 15.37/15.74 (define @t277 () (or @t276 @t269)) % 15.37/15.74 (define @t278 () (forall @t275 @t277)) % 15.37/15.74 (define @t279 () (forall @t256 @t277)) % 15.37/15.74 (define @t280 () (forall @t256 @t276)) % 15.37/15.74 (define @t281 () (or @t280 @t269)) % 15.37/15.74 (define @t282 () (forall @t56 (or (not @t54) (not @t53)))) % 15.37/15.74 (define @t283 () (not @t282)) % 15.37/15.74 (define @t284 () (and @t283 @t268)) % 15.37/15.74 (define @t285 () (forall @t59 (not @t284))) % 15.37/15.74 (define @t286 () (not @t285)) % 15.37/15.74 (define @t287 () (forall @t56 (not @t55))) % 15.37/15.74 (define @t288 () (not @t287)) % 15.37/15.74 (define @t289 () (tptp.r1 @t1)) % 15.37/15.74 (define @t290 () (@var "BOUND_VARIABLE_7643" $$unsorted)) % 15.37/15.74 (define @t291 () (tptp.r1 @t290)) % 15.37/15.74 (define @t292 () (not @t291)) % 15.37/15.74 (define @t293 () (@list @t290)) % 15.37/15.74 (define @t294 () (forall @t293 (or @t292 (and @t291 (= @t1 @t290))))) % 15.37/15.74 (define @t295 () (forall @t12 (or (not @t294) (not @t289)))) % 15.37/15.74 (define @t296 () (@quantifiers_skolemize @t295 0)) % 15.37/15.74 (define @t297 () (@var "BOUND_VARIABLE_7690" $$unsorted)) % 15.37/15.74 (define @t298 () (= @t14 @t297)) % 15.37/15.74 (define @t299 () (tptp.r2 @t296 @t297)) % 15.37/15.74 (define @t300 () (not @t299)) % 15.37/15.74 (define @t301 () (@list @t297)) % 15.37/15.74 (define @t302 () (forall @t26 (or (not (forall @t301 (or @t300 (and @t299 @t298)))) (not (tptp.r2 @t296 @t14))))) % 15.37/15.74 (define @t303 () (@quantifiers_skolemize @t302 0)) % 15.37/15.74 (define @t304 () (tptp.r2 @t303 @t297)) % 15.37/15.74 (define @t305 () (not @t304)) % 15.37/15.74 (define @t306 () (forall @t26 (or (not (forall @t301 (or @t305 (and @t304 @t298)))) (not (tptp.r2 @t303 @t14))))) % 15.37/15.74 (define @t307 () (@quantifiers_skolemize @t306 0)) % 15.37/15.74 (define @t308 () (tptp.r2 @t307 @t297)) % 15.37/15.74 (define @t309 () (not @t308)) % 15.37/15.74 (define @t310 () (forall @t26 (or (not (forall @t301 (or @t309 (and @t308 @t298)))) (not (tptp.r2 @t307 @t14))))) % 15.37/15.74 (define @t311 () (@quantifiers_skolemize @t310 0)) % 15.37/15.74 (define @t312 () (forall @t244 (or (not (tptp.r2 @t311 @t238)) (not (tptp.r3 @t296 @t238 @t45)) @t237 (not (tptp.r3 @t296 @t311 @t235))))) % 15.37/15.74 (define @t313 () (@quantifiers_skolemize @t312 0)) % 15.37/15.74 (define @t314 () (@quantifiers_skolemize @t312 1)) % 15.37/15.74 (define @t315 () (tptp.r3 @t296 @t314 @t313)) % 15.37/15.74 (define @t316 () (@quantifiers_skolemize @t312 2)) % 15.37/15.74 (define @t317 () (not @t315)) % 15.37/15.74 (define @t318 () (tptp.r2 @t311 @t314)) % 15.37/15.74 (define @t319 () (not @t318)) % 15.37/15.74 (define @t320 () (or @t319 @t317 (not (tptp.r2 @t316 @t313)) (not (tptp.r3 @t296 @t311 @t316)))) % 15.37/15.74 (define @t321 () (@list true)) % 15.37/15.74 (define @t322 () (@list @t320)) % 15.37/15.74 (define @t323 () (tptp.r2 @t17 @t297)) % 15.37/15.74 (define @t324 () (forall @t301 (or (not @t323) (and @t323 @t298)))) % 15.37/15.74 (define @t325 () (tptp.r2 @t17 @t14)) % 15.37/15.74 (define @t326 () (and @t324 @t325)) % 15.37/15.74 (define @t327 () (forall @t26 (not @t326))) % 15.37/15.74 (define @t328 () (not @t327)) % 15.37/15.74 (define @t329 () (= @t14 @t14)) % 15.37/15.74 (define @t330 () (and @t325 @t329)) % 15.37/15.74 (define @t331 () (not @t329)) % 15.37/15.74 (define @t332 () (or @t331 @t330)) % 15.37/15.74 (define @t333 () (@var "BOUND_VARIABLE_7699" $$unsorted)) % 15.37/15.74 (define @t334 () (= @t14 @t333)) % 15.37/15.74 (define @t335 () (and (tptp.r2 @t17 @t333) @t334)) % 15.37/15.74 (define @t336 () (not @t334)) % 15.37/15.74 (define @t337 () (@list @t333)) % 15.37/15.74 (define @t338 () (or @t336 @t336 @t335)) % 15.37/15.74 (define @t339 () (or @t336 @t335)) % 15.37/15.74 (define @t340 () (forall @t337 @t339)) % 15.37/15.74 (define @t341 () (= @t14 @t15)) % 15.37/15.74 (define @t342 () (and @t18 @t341)) % 15.37/15.74 (define @t343 () (not @t341)) % 15.37/15.74 (define @t344 () (or @t343 @t342)) % 15.37/15.74 (define @t345 () (forall @t24 @t344)) % 15.37/15.74 (define @t346 () (@list @t15)) % 15.37/15.74 (define @t347 () (or @t21 @t342)) % 15.37/15.74 (define @t348 () (forall @t24 @t347)) % 15.37/15.74 (define @t349 () (and @t348 @t345)) % 15.37/15.74 (define @t350 () (tptp.r2 @t307 @t311)) % 15.37/15.74 (define @t351 () (not @t350)) % 15.37/15.74 (define @t352 () (or (not (forall @t301 (or @t309 (and @t308 (= @t297 @t311))))) @t351)) % 15.37/15.74 (define @t353 () (not @t352)) % 15.37/15.74 (define @t354 () (not @t310)) % 15.37/15.74 (define @t355 () (and @t308 (= @t311 @t297))) % 15.37/15.74 (define @t356 () (or @t309 @t355)) % 15.37/15.74 (define @t357 () (forall @t301 @t356)) % 15.37/15.74 (define @t358 () (not @t357)) % 15.37/15.74 (define @t359 () (or @t358 @t351)) % 15.37/15.74 (define @t360 () (not @t359)) % 15.37/15.74 (define @t361 () (tptp.r2 @t303 @t307)) % 15.37/15.74 (define @t362 () (not @t361)) % 15.37/15.74 (define @t363 () (or (not (forall @t301 (or @t305 (and @t304 (= @t297 @t307))))) @t362)) % 15.37/15.74 (define @t364 () (not @t363)) % 15.37/15.74 (define @t365 () (not @t306)) % 15.37/15.74 (define @t366 () (and @t304 (= @t307 @t297))) % 15.37/15.74 (define @t367 () (or @t305 @t366)) % 15.37/15.74 (define @t368 () (forall @t301 @t367)) % 15.37/15.74 (define @t369 () (not @t368)) % 15.37/15.74 (define @t370 () (or @t369 @t362)) % 15.37/15.74 (define @t371 () (not @t370)) % 15.37/15.74 (define @t372 () (tptp.r2 @t296 @t303)) % 15.37/15.74 (define @t373 () (not @t372)) % 15.37/15.74 (define @t374 () (or (not (forall @t301 (or @t300 (and @t299 (= @t297 @t303))))) @t373)) % 15.37/15.74 (define @t375 () (not @t374)) % 15.37/15.74 (define @t376 () (not @t302)) % 15.37/15.74 (define @t377 () (and @t299 (= @t303 @t297))) % 15.37/15.74 (define @t378 () (or @t300 @t377)) % 15.37/15.74 (define @t379 () (forall @t301 @t378)) % 15.37/15.74 (define @t380 () (not @t379)) % 15.37/15.74 (define @t381 () (or @t380 @t373)) % 15.37/15.74 (define @t382 () (not @t381)) % 15.37/15.74 (define @t383 () (and @t294 @t289)) % 15.37/15.74 (define @t384 () (forall @t12 (not @t383))) % 15.37/15.74 (define @t385 () (not @t384)) % 15.37/15.74 (define @t386 () (= @t1 @t1)) % 15.37/15.74 (define @t387 () (and @t289 @t386)) % 15.37/15.74 (define @t388 () (not @t386)) % 15.37/15.74 (define @t389 () (or @t388 @t387)) % 15.37/15.74 (define @t390 () (@var "BOUND_VARIABLE_7652" $$unsorted)) % 15.37/15.74 (define @t391 () (= @t1 @t390)) % 15.37/15.74 (define @t392 () (and (tptp.r1 @t390) @t391)) % 15.37/15.74 (define @t393 () (not @t391)) % 15.37/15.74 (define @t394 () (@list @t390)) % 15.37/15.74 (define @t395 () (or @t393 @t393 @t392)) % 15.37/15.74 (define @t396 () (or @t393 @t392)) % 15.37/15.74 (define @t397 () (forall @t394 @t396)) % 15.37/15.74 (define @t398 () (= @t1 @t2)) % 15.37/15.74 (define @t399 () (and @t4 @t398)) % 15.37/15.74 (define @t400 () (not @t398)) % 15.37/15.74 (define @t401 () (or @t400 @t399)) % 15.37/15.74 (define @t402 () (forall @t10 @t401)) % 15.37/15.74 (define @t403 () (@list @t2)) % 15.37/15.74 (define @t404 () (or @t7 @t399)) % 15.37/15.74 (define @t405 () (forall @t10 @t404)) % 15.37/15.74 (define @t406 () (and @t405 @t402)) % 15.37/15.74 (define @t407 () (tptp.r1 @t296)) % 15.37/15.74 (define @t408 () (not @t407)) % 15.37/15.74 (define @t409 () (or (not (forall @t293 (or @t292 (and @t291 (= @t290 @t296))))) @t408)) % 15.37/15.74 (define @t410 () (not @t409)) % 15.37/15.74 (define @t411 () (not @t295)) % 15.37/15.74 (define @t412 () (and @t291 (= @t296 @t290))) % 15.37/15.74 (define @t413 () (or @t292 @t412)) % 15.37/15.74 (define @t414 () (forall @t293 @t413)) % 15.37/15.74 (define @t415 () (not @t414)) % 15.37/15.74 (define @t416 () (or @t415 @t408)) % 15.37/15.74 (define @t417 () (not @t416)) % 15.37/15.74 (define @t418 () (or @t317 @t319 @t351 @t362 @t408 @t373)) % 15.37/15.74 (define @t419 () (not @t418)) % 15.37/15.74 (assume @p1 @t13) % 15.37/15.74 (assume @p2 @t28) % 15.37/15.74 (assume @p3 (forall (@list @t33 @t32) (exists (@list @t29) (forall (@list @t30) (or (and (not @t34) (not @t31)) (and @t34 @t31)))))) % 15.37/15.74 (assume @p4 (forall (@list @t39 @t38) (exists (@list @t35) (forall (@list @t36) (or (and (not @t40) (not @t37)) (and @t40 @t37)))))) % 15.37/15.74 (assume @p5 @t64) % 15.37/15.74 (assume @p6 (forall (@list @t67 @t66) (exists (@list @t68) (and (exists @t72 (and (exists (@list @t71) (and (tptp.r2 @t66 @t71) (tptp.r4 @t67 @t71 @t70))) (= @t70 @t68))) (exists @t69 (and (tptp.r3 @t65 @t67 @t68) (tptp.r4 @t67 @t66 @t65))))))) % 15.37/15.74 (assume @p7 (forall (@list @t74 @t73) (or (forall (@list @t75) (or (forall (@list @t76) (or (not (tptp.r2 @t74 @t76)) (not (= @t76 @t75)))) (not (tptp.r2 @t73 @t75)))) (= @t74 @t73)))) % 15.37/15.74 (assume @p8 (forall (@list @t77) (exists (@list @t78) (and (exists (@list @t79) (and (tptp.r1 @t79) (tptp.r3 @t77 @t79 @t78))) (= @t78 @t77))))) % 15.37/15.74 (assume @p9 (forall (@list @t83) (exists @t84 (and (exists (@list @t82) (and (tptp.r1 @t82) (tptp.r4 @t83 @t82 @t81))) (exists (@list @t80) (and (tptp.r1 @t80) (= @t81 @t80))))))) % 15.37/15.74 (assume @p10 (forall (@list @t86) (or (exists (@list @t88) (and (tptp.r1 @t88) (= @t86 @t88))) (exists (@list @t87 @t85) (and (tptp.r2 @t87 @t85) (= @t86 @t85)))))) % 15.37/15.74 (assume @p11 (forall (@list @t90 @t89) (or (forall (@list @t91) (or (not (tptp.r1 @t91)) (not (= @t91 @t89)))) (not (tptp.r2 @t90 @t89))))) % 15.37/15.74 (assume @p12 @t112) % 15.37/15.74 (assume @p13 true) % 15.37/15.74 (step @p14 :rule bool-double-not-elim :args (@t126)) % 15.37/15.74 (step @p15 :rule aci_norm :args ((= (or false @t123 @t122 @t120 @t118 @t116 @t115) @t124))) % 15.37/15.74 (step @p16 :rule refl :args (@t115)) % 15.37/15.74 (step @p17 :rule refl :args (@t116)) % 15.37/15.74 (step @p18 :rule refl :args (@t118)) % 15.37/15.74 (step @p19 :rule refl :args (@t120)) % 15.37/15.74 (step @p20 :rule refl :args (@t122)) % 15.37/15.74 (step @p21 :rule refl :args (@t123)) % 15.37/15.74 (step @p22 :rule evaluate :args ((not true))) % 15.37/15.74 (step @p23 :rule eq-refl :args (@t87)) % 15.37/15.74 (step @p24 :rule cong :premises (@p23) :args (@t127)) % 15.37/15.74 (step @p25 :rule trans :premises (@p24 @p22)) % 15.37/15.74 (step @p26 :rule nary_cong :premises (@p25 @p21 @p20 @p19 @p18 @p17 @p16) :args (@t128)) % 15.37/15.74 (step @p27 :rule trans :premises (@p26 @p15)) % 15.37/15.74 (step @p28 :rule cong :premises (@p27) :args ((forall @t125 @t128))) % 15.37/15.74 (step @p29 :rule quant-var-elim-eq :args ((= (forall @t72 @t131) @t128))) % 15.37/15.74 (step @p30 :rule aci_norm :args ((= @t132 @t131))) % 15.37/15.74 (step @p31 :rule cong :premises (@p30) :args (@t133)) % 15.37/15.74 (step @p32 :rule trans :premises (@p31 @p29)) % 15.37/15.74 (step @p33 :rule cong :premises (@p32) :args (@t134)) % 15.37/15.74 (step @p34 :rule quant-merge-prenex :args ((= @t134 @t135))) % 15.37/15.74 (step @p35 :rule symm :premises (@p34)) % 15.37/15.74 (step @p36 :rule quant_var_reordering :args ((= (forall @t136 @t132) @t135))) % 15.37/15.74 (step @p37 :rule trans :premises (@p36 @p35 @p33)) % 15.37/15.74 (step @p38 :rule trans :premises (@p37 @p28)) % 15.37/15.74 (step @p39 :rule aci_norm :args ((= @t138 @t132))) % 15.37/15.74 (step @p40 :rule cong :premises (@p39) :args (@t139)) % 15.37/15.74 (step @p41 :rule trans :premises (@p40 @p38)) % 15.37/15.74 (step @p42 :rule quant-merge-prenex :args ((= (forall @t110 @t141) @t139))) % 15.37/15.74 (step @p43 :rule alpha_equiv :args (@t142 (@list @t121 @t119 @t117 @t113 @t114) (@list @t45 @t146 @t145 @t144 @t143))) % 15.37/15.74 (step @p44 :rule refl :args (@t130)) % 15.37/15.74 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t147)) % 15.37/15.74 (step @p46 :rule quant-miniscope-or :args ((= @t141 @t147))) % 15.37/15.74 (step @p47 :rule trans :premises (@p46 @p45)) % 15.37/15.74 (step @p48 :rule symm :premises (@p47)) % 15.37/15.74 (step @p49 :rule cong :premises (@p48) :args ((forall @t110 (or @t130 @t156)))) % 15.37/15.74 (step @p50 :rule trans :premises (@p49 @p42)) % 15.37/15.74 (step @p51 :rule trans :premises (@p50 @p41)) % 15.37/15.74 (step @p52 :rule bool-double-not-elim :args (@t156)) % 15.37/15.74 (step @p53 :rule nary_cong :premises (@p44 @p52) :args ((or @t130 (not @t157)))) % 15.37/15.74 (step @p54 :rule bool-and-de-morgan :args (@t108 @t157 true)) % 15.37/15.74 (step @p55 :rule trans :premises (@p54 @p53)) % 15.37/15.74 (step @p56 :rule cong :premises (@p55) :args (@t159)) % 15.37/15.74 (step @p57 :rule trans :premises (@p56 @p51)) % 15.37/15.74 (step @p58 :rule cong :premises (@p57) :args (@t160)) % 15.37/15.74 (step @p59 :rule exists-elim :args ((= (exists @t110 @t158) @t160))) % 15.37/15.74 (step @p60 :rule trans :premises (@p59 @p58)) % 15.37/15.74 (step @p61 :rule aci_norm :args ((= @t162 @t154))) % 15.37/15.74 (step @p62 :rule cong :premises (@p61) :args (@t163)) % 15.37/15.74 (step @p63 :rule quant-merge-prenex :args ((= (forall @t62 @t165) @t163))) % 15.37/15.74 (step @p64 :rule alpha_equiv :args (@t166 (@list @t146 @t145 @t144 @t143) (@list @t50 @t169 @t168 @t167))) % 15.37/15.74 (step @p65 :rule refl :args (@t153)) % 15.37/15.74 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t170)) % 15.37/15.74 (step @p67 :rule quant-miniscope-or :args ((= @t165 @t170))) % 15.37/15.74 (step @p68 :rule trans :premises (@p67 @p66)) % 15.37/15.74 (step @p69 :rule symm :premises (@p68)) % 15.37/15.74 (step @p70 :rule cong :premises (@p69) :args ((forall @t62 (or @t153 @t178)))) % 15.37/15.74 (step @p71 :rule trans :premises (@p70 @p63)) % 15.37/15.74 (step @p72 :rule trans :premises (@p71 @p62)) % 15.37/15.74 (step @p73 :rule bool-double-not-elim :args (@t178)) % 15.37/15.74 (step @p74 :rule nary_cong :premises (@p65 @p73) :args ((or @t153 (not @t179)))) % 15.37/15.74 (step @p75 :rule bool-and-de-morgan :args (@t105 @t179 true)) % 15.37/15.74 (step @p76 :rule trans :premises (@p75 @p74)) % 15.37/15.74 (step @p77 :rule cong :premises (@p76) :args (@t181)) % 15.37/15.74 (step @p78 :rule trans :premises (@p77 @p72)) % 15.37/15.74 (step @p79 :rule cong :premises (@p78) :args (@t182)) % 15.37/15.74 (step @p80 :rule exists-elim :args ((= (exists @t62 @t180) @t182))) % 15.37/15.74 (step @p81 :rule trans :premises (@p80 @p79)) % 15.37/15.74 (step @p82 :rule aci_norm :args ((= @t184 @t176))) % 15.37/15.74 (step @p83 :rule cong :premises (@p82) :args (@t185)) % 15.37/15.74 (step @p84 :rule quant-merge-prenex :args ((= (forall @t59 @t187) @t185))) % 15.37/15.74 (step @p85 :rule alpha_equiv :args (@t188 (@list @t169 @t168 @t167) (@list @t65 @t190 @t189))) % 15.37/15.74 (step @p86 :rule refl :args (@t175)) % 15.37/15.74 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t191)) % 15.37/15.74 (step @p88 :rule quant-miniscope-or :args ((= @t187 @t191))) % 15.37/15.74 (step @p89 :rule trans :premises (@p88 @p87)) % 15.37/15.74 (step @p90 :rule symm :premises (@p89)) % 15.37/15.74 (step @p91 :rule cong :premises (@p90) :args ((forall @t59 (or @t175 @t198)))) % 15.37/15.74 (step @p92 :rule trans :premises (@p91 @p84)) % 15.37/15.74 (step @p93 :rule trans :premises (@p92 @p83)) % 15.37/15.74 (step @p94 :rule bool-double-not-elim :args (@t198)) % 15.37/15.74 (step @p95 :rule nary_cong :premises (@p86 @p94) :args ((or @t175 (not @t199)))) % 15.37/15.74 (step @p96 :rule bool-and-de-morgan :args (@t102 @t199 true)) % 15.37/15.74 (step @p97 :rule trans :premises (@p96 @p95)) % 15.37/15.74 (step @p98 :rule cong :premises (@p97) :args (@t201)) % 15.37/15.74 (step @p99 :rule trans :premises (@p98 @p93)) % 15.37/15.74 (step @p100 :rule cong :premises (@p99) :args (@t202)) % 15.37/15.74 (step @p101 :rule 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false)) % 15.37/15.74 (step @p311 :rule cong :premises (@p310) :args ((forall @t24 (or (and @t21 @t343) @t342)))) % 15.37/15.74 (step @p312 :rule trans :premises (@p311 @p309)) % 15.37/15.74 (step @p313 :rule eq-symm :args (@t15 @t14)) % 15.37/15.74 (step @p314 :rule refl :args (@t18)) % 15.37/15.74 (step @p315 :rule nary_cong :premises (@p314 @p313) :args (@t19)) % 15.37/15.74 (step @p316 :rule cong :premises (@p313) :args (@t20)) % 15.37/15.74 (step @p317 :rule refl :args (@t21)) % 15.37/15.74 (step @p318 :rule nary_cong :premises (@p317 @p316) :args (@t22)) % 15.37/15.74 (step @p319 :rule nary_cong :premises (@p318 @p315) :args (@t23)) % 15.37/15.74 (step @p320 :rule cong :premises (@p319) :args (@t25)) % 15.37/15.74 (step @p321 :rule trans :premises (@p320 @p312)) % 15.37/15.74 (step @p322 :rule cong :premises (@p321) :args (@t27)) % 15.37/15.74 (step @p323 :rule trans :premises (@p322 @p280)) % 15.37/15.74 (step @p324 :rule cong :premises (@p323) :args (@t28)) % 15.37/15.74 (step @p325 :rule eq_resolve :premises (@p2 @p324)) % 15.37/15.74 (step @p326 :rule instantiate :premises (@p325) :args ((@list @t307))) % 15.37/15.74 (step @p327 :rule refl :args (@t353)) % 15.37/15.74 (step @p328 :rule bool-double-not-elim :args (@t310)) % 15.37/15.74 (step @p329 :rule nary_cong :premises (@p328 @p327) :args ((or (not @t354) @t353))) % 15.37/15.74 (step @p330 :rule refl :args (@t351)) % 15.37/15.74 (step @p331 :rule eq-symm :args (@t311 @t297)) % 15.37/15.74 (step @p332 :rule refl :args (@t308)) % 15.37/15.74 (step @p333 :rule nary_cong :premises (@p332 @p331) :args (@t355)) % 15.37/15.74 (step @p334 :rule refl :args (@t309)) % 15.37/15.74 (step @p335 :rule nary_cong :premises (@p334 @p333) :args (@t356)) % 15.37/15.74 (step @p336 :rule cong :premises (@p335) :args (@t357)) % 15.37/15.74 (step @p337 :rule cong :premises (@p336) :args (@t358)) % 15.37/15.74 (step @p338 :rule nary_cong :premises (@p337 @p330) :args (@t359)) % 15.37/15.74 (step @p339 :rule cong :premises (@p338) :args (@t360)) % 15.37/15.74 (step @p340 :rule refl :args (@t354)) % 15.37/15.74 (step @p341 :rule cong :premises (@p340 @p339) :args ((=> @t354 @t360))) % 15.37/15.74 (assume-push @p507 @t354) % 15.37/15.74 (step @p343 :rule skolemize :premises (@p326)) % 15.37/15.74 (step-pop @p508 :rule scope :premises (@p343)) % 15.37/15.74 (step @p344 :rule process_scope :premises (@p508) :args (@t360)) % 15.37/15.74 (step @p346 :rule eq_resolve :premises (@p344 @p341)) % 15.37/15.74 (step @p347 :rule implies_elim :premises (@p346)) % 15.37/15.74 (step @p348 :rule eq_resolve :premises (@p347 @p329)) % 15.37/15.74 (step @p349 :rule chain_m_resolution :premises (@p348 @p326) :args (@t353 @t321 (@list @t310))) % 15.37/15.74 (step @p350 :rule bool-double-not-elim :args (@t350)) % 15.37/15.74 (step @p351 :rule refl :args (@t352)) % 15.37/15.74 (step @p352 :rule nary_cong :premises (@p351 @p350) :args ((or @t352 (not @t351)))) % 15.37/15.74 (step @p353 :rule cnf_or_neg :args (@t352 1)) % 15.37/15.74 (step @p354 :rule eq_resolve :premises (@p353 @p352)) % 15.37/15.74 (step @p355 :rule reordering :premises (@p354) :args ((or @t350 @t352))) % 15.37/15.74 (step @p356 :rule chain_m_resolution :premises (@p355 @p349) :args (@t350 @t321 (@list @t352))) % 15.37/15.74 (step @p357 :rule instantiate :premises (@p325) :args ((@list @t303))) % 15.37/15.74 (step @p358 :rule refl :args (@t364)) % 15.37/15.74 (step @p359 :rule bool-double-not-elim :args (@t306)) % 15.37/15.74 (step @p360 :rule nary_cong :premises (@p359 @p358) :args ((or (not @t365) @t364))) % 15.37/15.74 (step @p361 :rule refl :args (@t362)) % 15.37/15.74 (step @p362 :rule eq-symm :args (@t307 @t297)) % 15.37/15.74 (step @p363 :rule refl :args (@t304)) % 15.37/15.74 (step @p364 :rule nary_cong :premises (@p363 @p362) :args (@t366)) % 15.37/15.74 (step @p365 :rule refl :args (@t305)) % 15.37/15.74 (step @p366 :rule nary_cong :premises (@p365 @p364) :args (@t367)) % 15.37/15.74 (step @p367 :rule cong :premises (@p366) :args (@t368)) % 15.37/15.74 (step @p368 :rule cong :premises (@p367) :args (@t369)) % 15.37/15.74 (step @p369 :rule nary_cong :premises (@p368 @p361) :args (@t370)) % 15.37/15.74 (step @p370 :rule cong :premises (@p369) :args (@t371)) % 15.37/15.74 (step @p371 :rule refl :args (@t365)) % 15.37/15.74 (step @p372 :rule cong :premises (@p371 @p370) :args ((=> @t365 @t371))) % 15.37/15.74 (assume-push @p509 @t365) % 15.37/15.74 (step @p374 :rule skolemize :premises (@p357)) % 15.37/15.74 (step-pop @p510 :rule scope :premises (@p374)) % 15.37/15.74 (step @p375 :rule process_scope :premises (@p510) :args (@t371)) % 15.37/15.74 (step @p377 :rule eq_resolve :premises (@p375 @p372)) % 15.37/15.74 (step @p378 :rule implies_elim :premises (@p377)) % 15.37/15.74 (step @p379 :rule eq_resolve :premises (@p378 @p360)) % 15.37/15.74 (step @p380 :rule chain_m_resolution :premises (@p379 @p357) :args (@t364 @t321 (@list @t306))) % 15.37/15.74 (step @p381 :rule bool-double-not-elim :args (@t361)) % 15.37/15.74 (step @p382 :rule refl :args (@t363)) % 15.37/15.74 (step @p383 :rule nary_cong :premises (@p382 @p381) :args ((or @t363 (not @t362)))) % 15.37/15.74 (step @p384 :rule cnf_or_neg :args (@t363 1)) % 15.37/15.74 (step @p385 :rule eq_resolve :premises (@p384 @p383)) % 15.37/15.74 (step @p386 :rule reordering :premises (@p385) :args ((or @t361 @t363))) % 15.37/15.74 (step @p387 :rule chain_m_resolution :premises (@p386 @p380) :args (@t361 @t321 (@list @t363))) % 15.37/15.74 (step @p388 :rule instantiate :premises (@p325) :args ((@list @t296))) % 15.37/15.74 (step @p389 :rule refl :args (@t375)) % 15.37/15.74 (step @p390 :rule bool-double-not-elim :args (@t302)) % 15.37/15.74 (step @p391 :rule nary_cong :premises (@p390 @p389) :args ((or (not @t376) @t375))) % 15.37/15.74 (step @p392 :rule refl :args (@t373)) % 15.37/15.74 (step @p393 :rule eq-symm :args (@t303 @t297)) % 15.37/15.74 (step @p394 :rule refl :args (@t299)) % 15.37/15.74 (step @p395 :rule nary_cong :premises (@p394 @p393) :args (@t377)) % 15.37/15.74 (step @p396 :rule refl :args (@t300)) % 15.37/15.74 (step @p397 :rule nary_cong :premises (@p396 @p395) :args (@t378)) % 15.37/15.74 (step @p398 :rule cong :premises (@p397) :args (@t379)) % 15.37/15.74 (step @p399 :rule cong :premises (@p398) :args (@t380)) % 15.37/15.74 (step @p400 :rule nary_cong :premises (@p399 @p392) :args (@t381)) % 15.37/15.74 (step @p401 :rule cong :premises (@p400) :args (@t382)) % 15.37/15.74 (step @p402 :rule refl :args (@t376)) % 15.37/15.74 (step @p403 :rule cong :premises (@p402 @p401) :args ((=> @t376 @t382))) % 15.37/15.74 (assume-push @p511 @t376) % 15.37/15.74 (step @p405 :rule skolemize :premises (@p388)) % 15.37/15.74 (step-pop @p512 :rule scope :premises (@p405)) % 15.37/15.74 (step @p406 :rule process_scope :premises (@p512) :args (@t382)) % 15.37/15.74 (step @p408 :rule eq_resolve :premises (@p406 @p403)) % 15.37/15.74 (step @p409 :rule implies_elim :premises (@p408)) % 15.37/15.74 (step @p410 :rule eq_resolve :premises (@p409 @p391)) % 15.37/15.74 (step @p411 :rule chain_m_resolution :premises (@p410 @p388) :args (@t375 @t321 (@list @t302))) % 15.37/15.74 (step @p412 :rule bool-double-not-elim :args (@t372)) % 15.37/15.74 (step @p413 :rule refl :args (@t374)) % 15.37/15.74 (step @p414 :rule nary_cong :premises (@p413 @p412) :args ((or @t374 (not @t373)))) % 15.37/15.74 (step @p415 :rule cnf_or_neg :args (@t374 1)) % 15.37/15.74 (step @p416 :rule eq_resolve :premises (@p415 @p414)) % 15.37/15.74 (step @p417 :rule reordering :premises (@p416) :args ((or @t372 @t374))) % 15.37/15.74 (step @p418 :rule chain_m_resolution :premises (@p417 @p411) :args (@t372 @t321 (@list @t374))) % 15.37/15.74 (step @p419 :rule bool-and-de-morgan :args (@t294 @t289 true)) % 15.37/15.74 (step @p420 :rule cong :premises (@p419) :args (@t384)) % 15.37/15.74 (step @p421 :rule cong :premises (@p420) :args (@t385)) % 15.37/15.74 (step @p422 :rule exists-elim :args ((= (exists @t12 @t383) @t385))) % 15.37/15.74 (step @p423 :rule trans :premises (@p422 @p421)) % 15.37/15.74 (step @p424 :rule aci_norm :args ((= (or false @t289) @t289))) % 15.37/15.74 (step @p425 :rule aci_norm :args ((= (and @t289 true) @t289))) % 15.37/15.74 (step @p426 :rule eq-refl :args (@t1)) % 15.37/15.74 (step @p427 :rule refl :args (@t289)) % 15.37/15.74 (step @p428 :rule nary_cong :premises (@p427 @p426) :args (@t387)) % 15.37/15.74 (step @p429 :rule trans :premises (@p428 @p425)) % 15.37/15.74 (step @p430 :rule cong :premises (@p426) :args (@t388)) % 15.37/15.74 (step @p431 :rule trans :premises (@p430 @p22)) % 15.37/15.74 (step @p432 :rule nary_cong :premises (@p431 @p429) :args (@t389)) % 15.37/15.74 (step @p433 :rule trans :premises (@p432 @p424)) % 15.37/15.74 (step @p434 :rule quant-var-elim-eq :args ((= (forall @t394 (or (not (= @t390 @t1)) @t393 @t392)) @t389))) % 15.37/15.74 (step @p435 :rule refl :args (@t392)) % 15.37/15.74 (step @p436 :rule refl :args (@t393)) % 15.37/15.74 (step @p437 :rule eq-symm :args (@t1 @t390)) % 15.37/15.74 (step @p438 :rule cong :premises (@p437) :args (@t393)) % 15.37/15.74 (step @p439 :rule nary_cong :premises (@p438 @p436 @p435) :args (@t395)) % 15.37/15.74 (step @p440 :rule aci_norm :args ((= @t396 @t395))) % 15.37/15.74 (step @p441 :rule trans :premises (@p440 @p439)) % 15.37/15.74 (step @p442 :rule cong :premises (@p441) :args (@t397)) % 15.37/15.74 (step @p443 :rule trans :premises (@p442 @p434)) % 15.37/15.74 (step @p444 :rule trans :premises (@p443 @p433)) % 15.37/15.74 (step @p445 :rule refl :args (@t294)) % 15.37/15.74 (step @p446 :rule nary_cong :premises (@p445 @p444) :args ((and @t294 @t397))) % 15.37/15.74 (step @p447 :rule alpha_equiv :args (@t402 @t403 (@list @t390))) % 15.37/15.74 (step @p448 :rule alpha_equiv :args (@t405 @t403 (@list @t290))) % 15.37/15.74 (step @p449 :rule nary_cong :premises (@p448 @p447) :args (@t406)) % 15.37/15.74 (step @p450 :rule quant-miniscope-and :args ((= (forall @t10 (and @t404 @t401)) @t406))) % 15.37/15.74 (step @p451 :rule trans :premises (@p450 @p449)) % 15.37/15.74 (step @p452 :rule trans :premises (@p451 @p446)) % 15.37/15.74 (step @p453 :rule bool-or-and-distrib :args (@t7 @t400 true @t399 false)) % 15.37/15.74 (step @p454 :rule cong :premises (@p453) :args ((forall @t10 (or (and @t7 @t400) @t399)))) % 15.37/15.74 (step @p455 :rule trans :premises (@p454 @p452)) % 15.37/15.74 (step @p456 :rule eq-symm :args (@t2 @t1)) % 15.37/15.74 (step @p457 :rule refl :args (@t4)) % 15.37/15.74 (step @p458 :rule nary_cong :premises (@p457 @p456) :args (@t5)) % 15.37/15.74 (step @p459 :rule cong :premises (@p456) :args (@t6)) % 15.37/15.74 (step @p460 :rule refl :args (@t7)) % 15.37/15.74 (step @p461 :rule nary_cong :premises (@p460 @p459) :args (@t8)) % 15.37/15.74 (step @p462 :rule nary_cong :premises (@p461 @p458) :args (@t9)) % 15.37/15.74 (step @p463 :rule cong :premises (@p462) :args (@t11)) % 15.37/15.74 (step @p464 :rule trans :premises (@p463 @p455)) % 15.37/15.74 (step @p465 :rule cong :premises (@p464) :args (@t13)) % 15.37/15.74 (step @p466 :rule trans :premises (@p465 @p423)) % 15.37/15.74 (step @p467 :rule eq_resolve :premises (@p1 @p466)) % 15.37/15.74 (step @p468 :rule refl :args (@t410)) % 15.37/15.74 (step @p469 :rule bool-double-not-elim :args (@t295)) % 15.37/15.74 (step @p470 :rule nary_cong :premises (@p469 @p468) :args ((or (not @t411) @t410))) % 15.37/15.74 (step @p471 :rule refl :args (@t408)) % 15.37/15.74 (step @p472 :rule eq-symm :args (@t296 @t290)) % 15.37/15.74 (step @p473 :rule refl :args (@t291)) % 15.37/15.74 (step @p474 :rule nary_cong :premises (@p473 @p472) :args (@t412)) % 15.37/15.74 (step @p475 :rule refl :args (@t292)) % 15.37/15.74 (step @p476 :rule nary_cong :premises (@p475 @p474) :args (@t413)) % 15.37/15.74 (step @p477 :rule cong :premises (@p476) :args (@t414)) % 15.37/15.74 (step @p478 :rule cong :premises (@p477) :args (@t415)) % 15.37/15.74 (step @p479 :rule nary_cong :premises (@p478 @p471) :args (@t416)) % 15.37/15.74 (step @p480 :rule cong :premises (@p479) :args (@t417)) % 15.37/15.74 (step @p481 :rule refl :args (@t411)) % 15.37/15.74 (step @p482 :rule cong :premises (@p481 @p480) :args ((=> @t411 @t417))) % 15.37/15.74 (assume-push @p513 @t411) % 15.37/15.74 (step @p484 :rule skolemize :premises (@p467)) % 15.37/15.74 (step-pop @p514 :rule scope :premises (@p484)) % 15.37/15.74 (step @p485 :rule process_scope :premises (@p514) :args (@t417)) % 15.37/15.74 (step @p487 :rule eq_resolve :premises (@p485 @p482)) % 15.37/15.74 (step @p488 :rule implies_elim :premises (@p487)) % 15.37/15.74 (step @p489 :rule eq_resolve :premises (@p488 @p470)) % 15.37/15.74 (step @p490 :rule chain_m_resolution :premises (@p489 @p467) :args (@t410 @t321 (@list @t295))) % 15.37/15.74 (step @p491 :rule bool-double-not-elim :args (@t407)) % 15.37/15.74 (step @p492 :rule refl :args (@t409)) % 15.37/15.74 (step @p493 :rule nary_cong :premises (@p492 @p491) :args ((or @t409 (not @t408)))) % 15.37/15.74 (step @p494 :rule cnf_or_neg :args (@t409 1)) % 15.37/15.74 (step @p495 :rule eq_resolve :premises (@p494 @p493)) % 15.37/15.74 (step @p496 :rule reordering :premises (@p495) :args ((or @t407 @t409))) % 15.37/15.74 (step @p497 :rule chain_m_resolution :premises (@p496 @p490) :args (@t407 @t321 (@list @t409))) % 15.37/15.74 (step @p498 :rule cnf_or_pos :args (@t418)) % 15.37/15.74 (step @p499 :rule reordering :premises (@p498) :args ((or @t408 @t373 @t362 @t351 @t319 @t317 @t419))) % 15.37/15.74 (step @p500 :rule chain_m_resolution :premises (@p499 @p497 @p418 @p387 @p356 @p275 @p269) :args (@t419 (@list false false false false false false) (@list @t407 @t372 @t361 @t350 @t318 @t315))) % 15.37/15.74 (assume-push @p515 @t126) % 15.37/15.74 (step @p502 :rule instantiate :premises (@p172) :args ((@list @t313 @t296 @t314 @t311 @t307 @t303 @t296))) % 15.37/15.74 (step-pop @p516 :rule scope :premises (@p502)) % 15.37/15.74 (step @p503 :rule process_scope :premises (@p516) :args (@t418)) % 15.37/15.74 (step @p505 :rule implies_elim :premises (@p503)) % 15.37/15.74 (step @p506 false :rule chain_m_resolution :premises (@p505 @p500 @p172) :args (false (@list true false) (@list @t418 @t126))) % 15.37/15.74 ) % 15.37/15.74 % SZS output end Proof % 15.37/15.74 % cvc5 exiting %------------------------------------------------------------------------------