%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP081+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:36:34 AM UTC 2026 % Result : Theorem 0.39s 0.61s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NLP081+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.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 09:59:59 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.61 % SZS status Theorem % 0.39/0.61 % SZS output start Proof % 0.39/0.61 ( % 0.39/0.61 (declare-sort $$unsorted 0) % 0.39/0.61 (declare-const tptp.actual_world (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.male (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.man (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.cannon (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.fire (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.from_loc (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.of (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.revenge (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.scream (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.member (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.nonreflexive (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.present (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.patient (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.agent (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.event (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.cry (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.shot (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.group (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.six (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (define @t1 () (@var "Y" $$unsorted)) % 0.39/0.61 (define @t2 () (@var "X1" $$unsorted)) % 0.39/0.61 (define @t3 () (@var "U" $$unsorted)) % 0.39/0.61 (define @t4 () (tptp.of @t3 @t2 @t1)) % 0.39/0.61 (define @t5 () (tptp.scream @t3 @t2)) % 0.39/0.61 (define @t6 () (tptp.nonreflexive @t3 @t2)) % 0.39/0.61 (define @t7 () (tptp.present @t3 @t2)) % 0.39/0.61 (define @t8 () (@var "Z" $$unsorted)) % 0.39/0.61 (define @t9 () (tptp.patient @t3 @t2 @t8)) % 0.39/0.61 (define @t10 () (@var "V" $$unsorted)) % 0.39/0.61 (define @t11 () (tptp.agent @t3 @t2 @t10)) % 0.39/0.61 (define @t12 () (tptp.event @t3 @t2)) % 0.39/0.61 (define @t13 () (tptp.cry @t3 @t8)) % 0.39/0.61 (define @t14 () (tptp.revenge @t3 @t1)) % 0.39/0.61 (define @t15 () (@var "X4" $$unsorted)) % 0.39/0.61 (define @t16 () (tptp.shot @t3 @t15)) % 0.39/0.61 (define @t17 () (@var "X" $$unsorted)) % 0.39/0.61 (define @t18 () (tptp.member @t3 @t15 @t17)) % 0.39/0.61 (define @t19 () (@list @t15)) % 0.39/0.61 (define @t20 () (forall @t19 (=> @t18 @t16))) % 0.39/0.61 (define @t21 () (tptp.group @t3 @t17)) % 0.39/0.61 (define @t22 () (tptp.six @t3 @t17)) % 0.39/0.61 (define @t23 () (@var "W" $$unsorted)) % 0.39/0.61 (define @t24 () (@var "X3" $$unsorted)) % 0.39/0.61 (define @t25 () (tptp.from_loc @t3 @t24 @t23)) % 0.39/0.61 (define @t26 () (tptp.fire @t3 @t24)) % 0.39/0.61 (define @t27 () (tptp.nonreflexive @t3 @t24)) % 0.39/0.61 (define @t28 () (tptp.present @t3 @t24)) % 0.39/0.61 (define @t29 () (@var "X2" $$unsorted)) % 0.39/0.61 (define @t30 () (tptp.patient @t3 @t24 @t29)) % 0.39/0.61 (define @t31 () (tptp.agent @t3 @t24 @t10)) % 0.39/0.61 (define @t32 () (tptp.event @t3 @t24)) % 0.39/0.61 (define @t33 () (and @t32 @t31 @t30 @t28 @t27 @t26 @t25)) % 0.39/0.61 (define @t34 () (@list @t24)) % 0.39/0.61 (define @t35 () (exists @t34 @t33)) % 0.39/0.61 (define @t36 () (tptp.member @t3 @t29 @t17)) % 0.39/0.61 (define @t37 () (=> @t36 @t35)) % 0.39/0.61 (define @t38 () (@list @t29)) % 0.39/0.61 (define @t39 () (forall @t38 @t37)) % 0.39/0.61 (define @t40 () (tptp.cannon @t3 @t23)) % 0.39/0.61 (define @t41 () (tptp.of @t3 @t23 @t10)) % 0.39/0.61 (define @t42 () (tptp.man @t3 @t10)) % 0.39/0.61 (define @t43 () (tptp.male @t3 @t10)) % 0.39/0.61 (define @t44 () (and @t43 @t42 @t41 @t40 @t39 @t22 @t21 @t20 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4)) % 0.39/0.61 (define @t45 () (@list @t10 @t23 @t17 @t1 @t8 @t2)) % 0.39/0.61 (define @t46 () (exists @t45 @t44)) % 0.39/0.61 (define @t47 () (tptp.actual_world @t3)) % 0.39/0.61 (define @t48 () (and @t47 @t46)) % 0.39/0.61 (define @t49 () (@list @t3)) % 0.39/0.61 (define @t50 () (exists @t49 @t48)) % 0.39/0.61 (define @t51 () (@var "X10" $$unsorted)) % 0.39/0.61 (define @t52 () (@var "X11" $$unsorted)) % 0.39/0.61 (define @t53 () (@var "X5" $$unsorted)) % 0.39/0.61 (define @t54 () (tptp.of @t53 @t52 @t51)) % 0.39/0.61 (define @t55 () (tptp.scream @t53 @t52)) % 0.39/0.61 (define @t56 () (tptp.nonreflexive @t53 @t52)) % 0.39/0.61 (define @t57 () (tptp.present @t53 @t52)) % 0.39/0.61 (define @t58 () (@var "X9" $$unsorted)) % 0.39/0.61 (define @t59 () (tptp.patient @t53 @t52 @t58)) % 0.39/0.61 (define @t60 () (@var "X6" $$unsorted)) % 0.39/0.61 (define @t61 () (tptp.agent @t53 @t52 @t60)) % 0.39/0.61 (define @t62 () (tptp.event @t53 @t52)) % 0.39/0.61 (define @t63 () (tptp.revenge @t53 @t51)) % 0.39/0.61 (define @t64 () (tptp.cry @t53 @t58)) % 0.39/0.61 (define @t65 () (@var "X14" $$unsorted)) % 0.39/0.61 (define @t66 () (tptp.shot @t53 @t65)) % 0.39/0.61 (define @t67 () (@var "X8" $$unsorted)) % 0.39/0.61 (define @t68 () (tptp.member @t53 @t65 @t67)) % 0.39/0.61 (define @t69 () (@list @t65)) % 0.39/0.61 (define @t70 () (forall @t69 (=> @t68 @t66))) % 0.39/0.61 (define @t71 () (tptp.group @t53 @t67)) % 0.39/0.61 (define @t72 () (tptp.six @t53 @t67)) % 0.39/0.61 (define @t73 () (@var "X7" $$unsorted)) % 0.39/0.61 (define @t74 () (@var "X13" $$unsorted)) % 0.39/0.61 (define @t75 () (tptp.from_loc @t53 @t74 @t73)) % 0.39/0.61 (define @t76 () (tptp.fire @t53 @t74)) % 0.39/0.61 (define @t77 () (tptp.nonreflexive @t53 @t74)) % 0.39/0.61 (define @t78 () (tptp.present @t53 @t74)) % 0.39/0.61 (define @t79 () (@var "X12" $$unsorted)) % 0.39/0.61 (define @t80 () (tptp.patient @t53 @t74 @t79)) % 0.39/0.61 (define @t81 () (tptp.agent @t53 @t74 @t60)) % 0.39/0.61 (define @t82 () (tptp.event @t53 @t74)) % 0.39/0.61 (define @t83 () (and @t82 @t81 @t80 @t78 @t77 @t76 @t75)) % 0.39/0.61 (define @t84 () (@list @t74)) % 0.39/0.61 (define @t85 () (exists @t84 @t83)) % 0.39/0.61 (define @t86 () (tptp.member @t53 @t79 @t67)) % 0.39/0.61 (define @t87 () (=> @t86 @t85)) % 0.39/0.61 (define @t88 () (@list @t79)) % 0.39/0.61 (define @t89 () (forall @t88 @t87)) % 0.39/0.61 (define @t90 () (tptp.cannon @t53 @t73)) % 0.39/0.61 (define @t91 () (tptp.of @t53 @t73 @t60)) % 0.39/0.61 (define @t92 () (tptp.man @t53 @t60)) % 0.39/0.61 (define @t93 () (tptp.male @t53 @t60)) % 0.39/0.61 (define @t94 () (and @t93 @t92 @t91 @t90 @t89 @t72 @t71 @t70 @t64 @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54)) % 0.39/0.61 (define @t95 () (@list @t60 @t73 @t67 @t58 @t51 @t52)) % 0.39/0.61 (define @t96 () (exists @t95 @t94)) % 0.39/0.61 (define @t97 () (tptp.actual_world @t53)) % 0.39/0.61 (define @t98 () (and @t97 @t96)) % 0.39/0.61 (define @t99 () (@list @t53)) % 0.39/0.61 (define @t100 () (exists @t99 @t98)) % 0.39/0.61 (define @t101 () (=> @t100 @t50)) % 0.39/0.61 (define @t102 () (=> @t50 @t100)) % 0.39/0.61 (define @t103 () (and @t102 @t101)) % 0.39/0.61 (define @t104 () (not @t103)) % 0.39/0.61 (define @t105 () (not (not @t104))) % 0.39/0.61 (define @t106 () (@var "BOUND_VARIABLE_7719" $$unsorted)) % 0.39/0.61 (define @t107 () (@var "BOUND_VARIABLE_7721" $$unsorted)) % 0.39/0.61 (define @t108 () (not (tptp.of @t53 @t107 @t106))) % 0.39/0.61 (define @t109 () (not (tptp.scream @t53 @t107))) % 0.39/0.61 (define @t110 () (not (tptp.nonreflexive @t53 @t107))) % 0.39/0.61 (define @t111 () (not (tptp.present @t53 @t107))) % 0.39/0.61 (define @t112 () (@var "BOUND_VARIABLE_7717" $$unsorted)) % 0.39/0.61 (define @t113 () (not (tptp.patient @t53 @t107 @t112))) % 0.39/0.61 (define @t114 () (@var "BOUND_VARIABLE_7711" $$unsorted)) % 0.39/0.61 (define @t115 () (not (tptp.agent @t53 @t107 @t114))) % 0.39/0.61 (define @t116 () (not (tptp.event @t53 @t107))) % 0.39/0.61 (define @t117 () (not (tptp.cry @t53 @t112))) % 0.39/0.61 (define @t118 () (not (tptp.revenge @t53 @t106))) % 0.39/0.61 (define @t119 () (@var "BOUND_VARIABLE_7715" $$unsorted)) % 0.39/0.61 (define @t120 () (not (tptp.member @t53 @t65 @t119))) % 0.39/0.61 (define @t121 () (or @t120 @t66)) % 0.39/0.61 (define @t122 () (forall @t69 @t121)) % 0.39/0.61 (define @t123 () (not @t122)) % 0.39/0.61 (define @t124 () (not (tptp.group @t53 @t119))) % 0.39/0.61 (define @t125 () (not (tptp.six @t53 @t119))) % 0.39/0.61 (define @t126 () (@var "BOUND_VARIABLE_7713" $$unsorted)) % 0.39/0.61 (define @t127 () (not @t76)) % 0.39/0.61 (define @t128 () (not @t77)) % 0.39/0.61 (define @t129 () (not @t78)) % 0.39/0.61 (define @t130 () (not @t80)) % 0.39/0.61 (define @t131 () (not @t82)) % 0.39/0.61 (define @t132 () (not (forall @t88 (or (not (tptp.member @t53 @t79 @t119)) (not (forall @t84 (or @t131 (not (tptp.agent @t53 @t74 @t114)) @t130 @t129 @t128 @t127 (not (tptp.from_loc @t53 @t74 @t126))))))))) % 0.39/0.61 (define @t133 () (not (tptp.cannon @t53 @t126))) % 0.39/0.61 (define @t134 () (not (tptp.of @t53 @t126 @t114))) % 0.39/0.61 (define @t135 () (not (tptp.man @t53 @t114))) % 0.39/0.61 (define @t136 () (not (tptp.male @t53 @t114))) % 0.39/0.61 (define @t137 () (not @t97)) % 0.39/0.61 (define @t138 () (or @t137 @t136 @t135 @t134 @t133 @t132 @t125 @t124 @t123 @t118 @t117 @t116 @t115 @t113 @t111 @t110 @t109 @t108)) % 0.39/0.61 (define @t139 () (@list @t53 @t114 @t126 @t119 @t112 @t106 @t107)) % 0.39/0.61 (define @t140 () (forall @t139 @t138)) % 0.39/0.61 (define @t141 () (or @t137 @t136 @t135 @t134 @t133 @t132 @t125 @t124 @t123 @t117 @t118 @t116 @t115 @t113 @t111 @t110 @t109 @t108)) % 0.39/0.61 (define @t142 () (forall @t139 @t141)) % 0.39/0.61 (define @t143 () (@var "BOUND_VARIABLE_7597" $$unsorted)) % 0.39/0.61 (define @t144 () (@var "BOUND_VARIABLE_7601" $$unsorted)) % 0.39/0.61 (define @t145 () (not (tptp.of @t3 @t144 @t143))) % 0.39/0.61 (define @t146 () (not (tptp.scream @t3 @t144))) % 0.39/0.61 (define @t147 () (not (tptp.nonreflexive @t3 @t144))) % 0.39/0.61 (define @t148 () (not (tptp.present @t3 @t144))) % 0.39/0.61 (define @t149 () (@var "BOUND_VARIABLE_7599" $$unsorted)) % 0.39/0.61 (define @t150 () (not (tptp.patient @t3 @t144 @t149))) % 0.39/0.61 (define @t151 () (@var "BOUND_VARIABLE_7591" $$unsorted)) % 0.39/0.61 (define @t152 () (not (tptp.agent @t3 @t144 @t151))) % 0.39/0.61 (define @t153 () (not (tptp.event @t3 @t144))) % 0.39/0.61 (define @t154 () (not (tptp.cry @t3 @t149))) % 0.39/0.61 (define @t155 () (not (tptp.revenge @t3 @t143))) % 0.39/0.61 (define @t156 () (@var "BOUND_VARIABLE_7595" $$unsorted)) % 0.39/0.61 (define @t157 () (not (forall @t19 (or (not (tptp.member @t3 @t15 @t156)) @t16)))) % 0.39/0.61 (define @t158 () (not (tptp.group @t3 @t156))) % 0.39/0.61 (define @t159 () (not (tptp.six @t3 @t156))) % 0.39/0.61 (define @t160 () (@var "BOUND_VARIABLE_7593" $$unsorted)) % 0.39/0.61 (define @t161 () (not @t26)) % 0.39/0.61 (define @t162 () (not @t27)) % 0.39/0.61 (define @t163 () (not @t28)) % 0.39/0.61 (define @t164 () (not @t30)) % 0.39/0.61 (define @t165 () (not @t32)) % 0.39/0.61 (define @t166 () (not (forall @t38 (or (not (tptp.member @t3 @t29 @t156)) (not (forall @t34 (or @t165 (not (tptp.agent @t3 @t24 @t151)) @t164 @t163 @t162 @t161 (not (tptp.from_loc @t3 @t24 @t160))))))))) % 0.39/0.61 (define @t167 () (not (tptp.cannon @t3 @t160))) % 0.39/0.61 (define @t168 () (not (tptp.of @t3 @t160 @t151))) % 0.39/0.61 (define @t169 () (not (tptp.man @t3 @t151))) % 0.39/0.61 (define @t170 () (not (tptp.male @t3 @t151))) % 0.39/0.61 (define @t171 () (not @t47)) % 0.39/0.61 (define @t172 () (or @t171 @t170 @t169 @t168 @t167 @t166 @t159 @t158 @t157 @t155 @t154 @t153 @t152 @t150 @t148 @t147 @t146 @t145)) % 0.39/0.61 (define @t173 () (@list @t3 @t151 @t160 @t156 @t143 @t149 @t144)) % 0.39/0.61 (define @t174 () (forall @t173 @t172)) % 0.39/0.61 (define @t175 () (not @t174)) % 0.39/0.61 (define @t176 () (not @t142)) % 0.39/0.61 (define @t177 () (=> @t176 @t175)) % 0.39/0.61 (define @t178 () (=> @t175 @t176)) % 0.39/0.61 (define @t179 () (or @t170 @t169 @t168 @t167 @t166 @t159 @t158 @t157 @t155 @t154 @t153 @t152 @t150 @t148 @t147 @t146 @t145)) % 0.39/0.61 (define @t180 () (or @t171 @t179)) % 0.39/0.61 (define @t181 () (forall @t173 @t180)) % 0.39/0.61 (define @t182 () (@list @t151 @t160 @t156 @t143 @t149 @t144)) % 0.39/0.61 (define @t183 () (forall @t182 @t180)) % 0.39/0.61 (define @t184 () (forall @t182 @t179)) % 0.39/0.61 (define @t185 () (or @t171 @t184)) % 0.39/0.61 (define @t186 () (not @t4)) % 0.39/0.61 (define @t187 () (not @t5)) % 0.39/0.61 (define @t188 () (not @t6)) % 0.39/0.61 (define @t189 () (not @t7)) % 0.39/0.61 (define @t190 () (not @t9)) % 0.39/0.61 (define @t191 () (not @t11)) % 0.39/0.61 (define @t192 () (not @t12)) % 0.39/0.61 (define @t193 () (not @t13)) % 0.39/0.61 (define @t194 () (not @t14)) % 0.39/0.61 (define @t195 () (forall @t19 (or (not @t18) @t16))) % 0.39/0.61 (define @t196 () (not @t195)) % 0.39/0.61 (define @t197 () (not @t21)) % 0.39/0.61 (define @t198 () (not @t22)) % 0.39/0.61 (define @t199 () (not @t25)) % 0.39/0.61 (define @t200 () (not @t31)) % 0.39/0.61 (define @t201 () (or @t165 @t200 @t164 @t163 @t162 @t161 @t199)) % 0.39/0.61 (define @t202 () (not (forall @t34 @t201))) % 0.39/0.61 (define @t203 () (forall @t38 (or (not @t36) @t202))) % 0.39/0.61 (define @t204 () (not @t203)) % 0.39/0.61 (define @t205 () (not @t40)) % 0.39/0.61 (define @t206 () (not @t41)) % 0.39/0.61 (define @t207 () (not @t42)) % 0.39/0.61 (define @t208 () (not @t43)) % 0.39/0.61 (define @t209 () (or @t208 @t207 @t206 @t205 @t204 @t198 @t197 @t196 @t194 @t193 @t192 @t191 @t190 @t189 @t188 @t187 @t186)) % 0.39/0.61 (define @t210 () (forall @t45 @t209)) % 0.39/0.61 (define @t211 () (not @t210)) % 0.39/0.61 (define @t212 () (and @t47 @t211)) % 0.39/0.61 (define @t213 () (forall @t49 (not @t212))) % 0.39/0.61 (define @t214 () (not @t213)) % 0.39/0.61 (define @t215 () (and @t43 @t42 @t41 @t40 @t203 @t22 @t21 @t195 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4)) % 0.39/0.61 (define @t216 () (forall @t45 (not @t215))) % 0.39/0.61 (define @t217 () (not @t216)) % 0.39/0.61 (define @t218 () (forall @t34 (not @t33))) % 0.39/0.61 (define @t219 () (not @t218)) % 0.39/0.61 (define @t220 () (or @t136 @t135 @t134 @t133 @t132 @t125 @t124 @t123 @t117 @t118 @t116 @t115 @t113 @t111 @t110 @t109 @t108)) % 0.39/0.61 (define @t221 () (or @t137 @t220)) % 0.39/0.61 (define @t222 () (forall @t139 @t221)) % 0.39/0.61 (define @t223 () (@list @t114 @t126 @t119 @t112 @t106 @t107)) % 0.39/0.61 (define @t224 () (forall @t223 @t221)) % 0.39/0.61 (define @t225 () (forall @t223 @t220)) % 0.39/0.61 (define @t226 () (or @t137 @t225)) % 0.39/0.61 (define @t227 () (not @t54)) % 0.39/0.61 (define @t228 () (not @t55)) % 0.39/0.61 (define @t229 () (not @t56)) % 0.39/0.61 (define @t230 () (not @t57)) % 0.39/0.61 (define @t231 () (not @t59)) % 0.39/0.61 (define @t232 () (not @t61)) % 0.39/0.61 (define @t233 () (not @t62)) % 0.39/0.61 (define @t234 () (not @t63)) % 0.39/0.61 (define @t235 () (not @t64)) % 0.39/0.61 (define @t236 () (forall @t69 (or (not @t68) @t66))) % 0.39/0.61 (define @t237 () (not @t236)) % 0.39/0.61 (define @t238 () (not @t71)) % 0.39/0.61 (define @t239 () (not @t72)) % 0.39/0.61 (define @t240 () (not @t75)) % 0.39/0.61 (define @t241 () (not @t81)) % 0.39/0.61 (define @t242 () (or @t131 @t241 @t130 @t129 @t128 @t127 @t240)) % 0.39/0.61 (define @t243 () (not (forall @t84 @t242))) % 0.39/0.61 (define @t244 () (forall @t88 (or (not @t86) @t243))) % 0.39/0.61 (define @t245 () (not @t244)) % 0.39/0.61 (define @t246 () (not @t90)) % 0.39/0.61 (define @t247 () (not @t91)) % 0.39/0.61 (define @t248 () (not @t92)) % 0.39/0.61 (define @t249 () (not @t93)) % 0.39/0.61 (define @t250 () (or @t249 @t248 @t247 @t246 @t245 @t239 @t238 @t237 @t235 @t234 @t233 @t232 @t231 @t230 @t229 @t228 @t227)) % 0.39/0.61 (define @t251 () (forall @t95 @t250)) % 0.39/0.61 (define @t252 () (not @t251)) % 0.39/0.61 (define @t253 () (and @t97 @t252)) % 0.39/0.61 (define @t254 () (forall @t99 (not @t253))) % 0.39/0.61 (define @t255 () (not @t254)) % 0.39/0.61 (define @t256 () (and @t93 @t92 @t91 @t90 @t244 @t72 @t71 @t236 @t64 @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54)) % 0.39/0.61 (define @t257 () (forall @t95 (not @t256))) % 0.39/0.61 (define @t258 () (not @t257)) % 0.39/0.61 (define @t259 () (forall @t84 (not @t83))) % 0.39/0.61 (define @t260 () (not @t259)) % 0.39/0.61 (define @t261 () (@list false)) % 0.39/0.61 (define @t262 () (@list @t174)) % 0.39/0.61 (assume @p1 @t105) % 0.39/0.61 (assume @p2 true) % 0.39/0.61 (step @p3 :rule refl :args (@t108)) % 0.39/0.61 (step @p4 :rule refl :args (@t109)) % 0.39/0.61 (step @p5 :rule refl :args (@t110)) % 0.39/0.61 (step @p6 :rule refl :args (@t111)) % 0.39/0.61 (step @p7 :rule refl :args (@t113)) % 0.39/0.61 (step @p8 :rule refl :args (@t115)) % 0.39/0.61 (step @p9 :rule refl :args (@t116)) % 0.39/0.61 (step @p10 :rule refl :args (@t117)) % 0.39/0.61 (step @p11 :rule refl :args (@t118)) % 0.39/0.61 (step @p12 :rule aci_norm :args ((= @t121 (or @t66 @t120)))) % 0.39/0.61 (step @p13 :rule cong :premises (@p12) :args (@t122)) % 0.39/0.61 (step @p14 :rule cong :premises (@p13) :args (@t123)) % 0.39/0.61 (step @p15 :rule refl :args (@t124)) % 0.39/0.61 (step @p16 :rule refl :args (@t125)) % 0.39/0.61 (step @p17 :rule refl :args (@t132)) % 0.39/0.61 (step @p18 :rule refl :args (@t133)) % 0.39/0.61 (step @p19 :rule refl :args (@t134)) % 0.39/0.61 (step @p20 :rule refl :args (@t135)) % 0.39/0.61 (step @p21 :rule refl :args (@t136)) % 0.39/0.61 (step @p22 :rule refl :args (@t137)) % 0.39/0.61 (step @p23 :rule nary_cong :premises (@p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p11 @p10 @p9 @p8 @p7 @p6 @p5 @p4 @p3) :args (@t138)) % 0.39/0.61 (step @p24 :rule cong :premises (@p23) :args (@t140)) % 0.39/0.61 (step @p25 :rule nary_cong :premises (@p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p10 @p11 @p9 @p8 @p7 @p6 @p5 @p4 @p3) :args (@t141)) % 0.39/0.61 (step @p26 :rule cong :premises (@p25) :args (@t142)) % 0.39/0.61 (step @p27 :rule cong :premises (@p26 @p24) :args ((= @t142 @t140))) % 0.39/0.61 (step @p28 :rule aci_norm :args ((= @t141 @t138))) % 0.39/0.61 (step @p29 :rule cong :premises (@p28) :args (@t142)) % 0.39/0.61 (step @p30 :rule symm :premises (@p29)) % 0.39/0.61 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t140 @t142))) % 0.39/0.61 (step @p32 :rule trans :premises (@p31 @p27)) % 0.39/0.61 (step @p33 :rule true_elim :premises (@p32)) % 0.39/0.61 (step @p34 :rule quant_var_reordering :args ((= (forall (@list @t53 @t114 @t126 @t119 @t106 @t112 @t107) @t138) @t140))) % 0.39/0.61 (step @p35 :rule alpha_equiv :args (@t174 (@list @t3 @t151 @t143 @t160 @t144 @t149 @t29 @t24 @t156 @t15) (@list @t53 @t114 @t106 @t126 @t107 @t112 @t79 @t74 @t119 @t65))) % 0.39/0.61 (step @p36 :rule trans :premises (@p35 @p34 @p33)) % 0.39/0.61 (step @p37 :rule equiv_elim2 :premises (@p36)) % 0.39/0.61 (step @p38 :rule bool-double-not-elim :args (@t174)) % 0.39/0.61 (step @p39 :rule refl :args (@t177)) % 0.39/0.61 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t177 (not @t175)))) % 0.39/0.61 (step @p41 :rule cnf_implies_neg2 :args (@t177)) % 0.39/0.61 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 0.39/0.61 (step @p43 :rule reordering :premises (@p42) :args ((or @t174 @t177))) % 0.39/0.61 (step @p44 :rule bool-double-not-elim :args (@t142)) % 0.39/0.61 (step @p45 :rule refl :args (@t178)) % 0.39/0.61 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t178 (not @t176)))) % 0.39/0.61 (step @p47 :rule cnf_implies_neg2 :args (@t178)) % 0.39/0.61 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.39/0.61 (step @p49 :rule reordering :premises (@p48) :args ((or @t142 @t178))) % 0.39/0.61 (step @p50 :rule aci_norm :args ((= @t180 @t172))) % 0.39/0.61 (step @p51 :rule cong :premises (@p50) :args (@t181)) % 0.39/0.61 (step @p52 :rule quant-merge-prenex :args ((= (forall @t49 @t183) @t181))) % 0.39/0.61 (step @p53 :rule alpha_equiv :args (@t184 (@list @t151 @t160 @t156 @t143 @t149 @t144) (@list @t10 @t23 @t17 @t1 @t8 @t2))) % 0.39/0.61 (step @p54 :rule refl :args (@t171)) % 0.39/0.61 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t185)) % 0.39/0.61 (step @p56 :rule quant-miniscope-or :args ((= @t183 @t185))) % 0.39/0.61 (step @p57 :rule trans :premises (@p56 @p55)) % 0.39/0.61 (step @p58 :rule symm :premises (@p57)) % 0.39/0.61 (step @p59 :rule cong :premises (@p58) :args ((forall @t49 (or @t171 @t210)))) % 0.39/0.61 (step @p60 :rule trans :premises (@p59 @p52)) % 0.39/0.61 (step @p61 :rule trans :premises (@p60 @p51)) % 0.39/0.61 (step @p62 :rule bool-double-not-elim :args (@t210)) % 0.39/0.61 (step @p63 :rule nary_cong :premises (@p54 @p62) :args ((or @t171 (not @t211)))) % 0.39/0.61 (step @p64 :rule bool-and-de-morgan :args (@t47 @t211 true)) % 0.39/0.61 (step @p65 :rule trans :premises (@p64 @p63)) % 0.39/0.61 (step @p66 :rule cong :premises (@p65) :args (@t213)) % 0.39/0.61 (step @p67 :rule trans :premises (@p66 @p61)) % 0.39/0.61 (step @p68 :rule cong :premises (@p67) :args (@t214)) % 0.39/0.61 (step @p69 :rule exists-elim :args ((= (exists @t49 @t212) @t214))) % 0.39/0.61 (step @p70 :rule trans :premises (@p69 @p68)) % 0.39/0.61 (step @p71 :rule aci_norm :args ((= (or @t208 (or @t207 (or @t206 (or @t205 (or @t204 (or @t198 (or @t197 (or @t196 (or @t194 (or @t193 (or @t192 (or @t191 (or @t190 (or @t189 (or @t188 (or @t187 @t186)))))))))))))))) @t209))) % 0.39/0.61 (step @p72 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.39/0.61 (step @p73 :rule refl :args (@t188)) % 0.39/0.61 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t188 (not (and @t5 @t4))))) % 0.39/0.61 (step @p75 :rule bool-and-de-morgan :args (@t6 @t5 (and @t4))) % 0.39/0.61 (step @p76 :rule trans :premises (@p75 @p74)) % 0.39/0.61 (step @p77 :rule refl :args (@t189)) % 0.39/0.61 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t189 (not (and @t6 @t5 @t4))))) % 0.39/0.61 (step @p79 :rule bool-and-de-morgan :args (@t7 @t6 (and @t5 @t4))) % 0.39/0.61 (step @p80 :rule trans :premises (@p79 @p78)) % 0.39/0.61 (step @p81 :rule refl :args (@t190)) % 0.39/0.61 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t190 (not (and @t7 @t6 @t5 @t4))))) % 0.39/0.61 (step @p83 :rule bool-and-de-morgan :args (@t9 @t7 (and @t6 @t5 @t4))) % 0.39/0.61 (step @p84 :rule trans :premises (@p83 @p82)) % 0.39/0.61 (step @p85 :rule refl :args (@t191)) % 0.39/0.61 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t191 (not (and @t9 @t7 @t6 @t5 @t4))))) % 0.39/0.61 (step @p87 :rule bool-and-de-morgan :args (@t11 @t9 (and @t7 @t6 @t5 @t4))) % 0.39/0.61 (step @p88 :rule trans :premises (@p87 @p86)) % 0.39/0.61 (step @p89 :rule refl :args (@t192)) % 0.39/0.61 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t192 (not (and @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.39/0.61 (step @p91 :rule bool-and-de-morgan :args (@t12 @t11 (and @t9 @t7 @t6 @t5 @t4))) % 0.39/0.61 (step @p92 :rule trans :premises (@p91 @p90)) % 0.39/0.61 (step @p93 :rule refl :args (@t193)) % 0.39/0.61 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or @t193 (not (and @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.39/0.61 (step @p95 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11 @t9 @t7 @t6 @t5 @t4))) % 0.39/0.61 (step @p96 :rule trans :premises (@p95 @p94)) % 0.39/0.61 (step @p97 :rule refl :args (@t194)) % 0.39/0.61 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t194 (not (and @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.39/0.61 (step @p99 :rule bool-and-de-morgan :args (@t14 @t13 (and @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.39/0.61 (step @p100 :rule trans :premises (@p99 @p98)) % 0.39/0.61 (step @p101 :rule refl :args (@t196)) % 0.39/0.61 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or @t196 (not (and @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.39/0.61 (step @p103 :rule bool-and-de-morgan :args (@t195 @t14 (and @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.39/0.61 (step @p104 :rule trans :premises (@p103 @p102)) % 0.39/0.61 (step @p105 :rule refl :args (@t197)) % 0.39/0.61 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t197 (not (and @t195 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.39/0.61 (step @p107 :rule bool-and-de-morgan :args (@t21 @t195 (and @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.39/0.61 (step @p108 :rule trans :premises (@p107 @p106)) % 0.39/0.61 (step @p109 :rule refl :args (@t198)) % 0.39/0.61 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t198 (not (and @t21 @t195 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.39/0.61 (step @p111 :rule bool-and-de-morgan :args (@t22 @t21 (and @t195 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.39/0.61 (step @p112 :rule trans :premises (@p111 @p110)) % 0.39/0.61 (step @p113 :rule refl :args (@t204)) % 0.39/0.61 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t204 (not (and @t22 @t21 @t195 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.39/0.61 (step @p115 :rule bool-and-de-morgan :args (@t203 @t22 (and @t21 @t195 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.39/0.61 (step @p116 :rule trans :premises (@p115 @p114)) % 0.39/0.61 (step @p117 :rule refl :args (@t205)) % 0.39/0.61 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or @t205 (not (and @t203 @t22 @t21 @t195 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.39/0.61 (step @p119 :rule bool-and-de-morgan :args (@t40 @t203 (and @t22 @t21 @t195 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.39/0.61 (step @p120 :rule trans :premises (@p119 @p118)) % 0.39/0.61 (step @p121 :rule refl :args (@t206)) % 0.39/0.61 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t206 (not (and @t40 @t203 @t22 @t21 @t195 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.39/0.61 (step @p123 :rule bool-and-de-morgan :args (@t41 @t40 (and @t203 @t22 @t21 @t195 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.39/0.61 (step @p124 :rule trans :premises (@p123 @p122)) % 0.39/0.61 (step @p125 :rule refl :args (@t207)) % 0.39/0.61 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or @t207 (not (and @t41 @t40 @t203 @t22 @t21 @t195 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.39/0.61 (step @p127 :rule bool-and-de-morgan :args (@t42 @t41 (and @t40 @t203 @t22 @t21 @t195 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.39/0.61 (step @p128 :rule trans :premises (@p127 @p126)) % 0.39/0.61 (step @p129 :rule refl :args (@t208)) % 0.39/0.61 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or @t208 (not (and @t42 @t41 @t40 @t203 @t22 @t21 @t195 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.39/0.61 (step @p131 :rule bool-and-de-morgan :args (@t43 @t42 (and @t41 @t40 @t203 @t22 @t21 @t195 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.39/0.61 (step @p132 :rule trans :premises (@p131 @p130)) % 0.39/0.61 (step @p133 :rule trans :premises (@p132 @p71)) % 0.39/0.61 (step @p134 :rule cong :premises (@p133) :args (@t216)) % 0.39/0.61 (step @p135 :rule cong :premises (@p134) :args (@t217)) % 0.39/0.61 (step @p136 :rule exists-elim :args ((= (exists @t45 @t215) @t217))) % 0.39/0.61 (step @p137 :rule trans :premises (@p136 @p135)) % 0.39/0.61 (step @p138 :rule refl :args (@t4)) % 0.39/0.61 (step @p139 :rule refl :args (@t5)) % 0.39/0.61 (step @p140 :rule refl :args (@t6)) % 0.39/0.61 (step @p141 :rule refl :args (@t7)) % 0.39/0.61 (step @p142 :rule refl :args (@t9)) % 0.39/0.61 (step @p143 :rule refl :args (@t11)) % 0.39/0.61 (step @p144 :rule refl :args (@t12)) % 0.39/0.61 (step @p145 :rule refl :args (@t13)) % 0.39/0.61 (step @p146 :rule refl :args (@t14)) % 0.39/0.61 (step @p147 :rule bool-impl-elim :args (@t18 @t16)) % 0.39/0.61 (step @p148 :rule cong :premises (@p147) :args (@t20)) % 0.39/0.61 (step @p149 :rule refl :args (@t21)) % 0.39/0.61 (step @p150 :rule refl :args (@t22)) % 0.39/0.61 (step @p151 :rule bool-impl-elim :args (@t36 @t202)) % 0.39/0.61 (step @p152 :rule cong :premises (@p151) :args ((forall @t38 (=> @t36 @t202)))) % 0.39/0.61 (step @p153 :rule aci_norm :args ((= (or @t165 (or @t200 (or @t164 (or @t163 (or @t162 (or @t161 @t199)))))) @t201))) % 0.39/0.61 (step @p154 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.39/0.61 (step @p155 :rule refl :args (@t162)) % 0.39/0.61 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or @t162 (not (and @t26 @t25))))) % 0.39/0.61 (step @p157 :rule bool-and-de-morgan :args (@t27 @t26 (and @t25))) % 0.39/0.61 (step @p158 :rule trans :premises (@p157 @p156)) % 0.39/0.61 (step @p159 :rule refl :args (@t163)) % 0.39/0.61 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or @t163 (not (and @t27 @t26 @t25))))) % 0.39/0.61 (step @p161 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26 @t25))) % 0.39/0.61 (step @p162 :rule trans :premises (@p161 @p160)) % 0.39/0.61 (step @p163 :rule refl :args (@t164)) % 0.39/0.61 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or @t164 (not (and @t28 @t27 @t26 @t25))))) % 0.39/0.61 (step @p165 :rule bool-and-de-morgan :args (@t30 @t28 (and @t27 @t26 @t25))) % 0.39/0.61 (step @p166 :rule trans :premises (@p165 @p164)) % 0.39/0.61 (step @p167 :rule refl :args (@t200)) % 0.39/0.61 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t200 (not (and @t30 @t28 @t27 @t26 @t25))))) % 0.39/0.61 (step @p169 :rule bool-and-de-morgan :args (@t31 @t30 (and @t28 @t27 @t26 @t25))) % 0.39/0.61 (step @p170 :rule trans :premises (@p169 @p168)) % 0.39/0.61 (step @p171 :rule refl :args (@t165)) % 0.39/0.61 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or @t165 (not (and @t31 @t30 @t28 @t27 @t26 @t25))))) % 0.39/0.61 (step @p173 :rule bool-and-de-morgan :args (@t32 @t31 (and @t30 @t28 @t27 @t26 @t25))) % 0.39/0.61 (step @p174 :rule trans :premises (@p173 @p172)) % 0.39/0.61 (step @p175 :rule trans :premises (@p174 @p153)) % 0.39/0.61 (step @p176 :rule cong :premises (@p175) :args (@t218)) % 0.39/0.61 (step @p177 :rule cong :premises (@p176) :args (@t219)) % 0.39/0.61 (step @p178 :rule exists-elim :args ((= @t35 @t219))) % 0.39/0.61 (step @p179 :rule trans :premises (@p178 @p177)) % 0.39/0.61 (step @p180 :rule refl :args (@t36)) % 0.39/0.61 (step @p181 :rule cong :premises (@p180 @p179) :args (@t37)) % 0.39/0.61 (step @p182 :rule cong :premises (@p181) :args (@t39)) % 0.39/0.61 (step @p183 :rule trans :premises (@p182 @p152)) % 0.39/0.61 (step @p184 :rule refl :args (@t40)) % 0.39/0.61 (step @p185 :rule refl :args (@t41)) % 0.39/0.61 (step @p186 :rule refl :args (@t42)) % 0.39/0.61 (step @p187 :rule refl :args (@t43)) % 0.39/0.61 (step @p188 :rule nary_cong :premises (@p187 @p186 @p185 @p184 @p183 @p150 @p149 @p148 @p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p138) :args (@t44)) % 0.39/0.61 (step @p189 :rule cong :premises (@p188) :args (@t46)) % 0.39/0.61 (step @p190 :rule trans :premises (@p189 @p137)) % 0.39/0.61 (step @p191 :rule refl :args (@t47)) % 0.39/0.61 (step @p192 :rule nary_cong :premises (@p191 @p190) :args (@t48)) % 0.39/0.61 (step @p193 :rule cong :premises (@p192) :args (@t50)) % 0.39/0.61 (step @p194 :rule trans :premises (@p193 @p70)) % 0.39/0.61 (step @p195 :rule aci_norm :args ((= @t221 @t141))) % 0.39/0.61 (step @p196 :rule cong :premises (@p195) :args (@t222)) % 0.39/0.61 (step @p197 :rule quant-merge-prenex :args ((= (forall @t99 @t224) @t222))) % 0.39/0.61 (step @p198 :rule alpha_equiv :args (@t225 (@list @t114 @t126 @t119 @t112 @t106 @t107) (@list @t60 @t73 @t67 @t58 @t51 @t52))) % 0.39/0.61 (step @p199 :rule nary_cong :premises (@p22 @p198) :args (@t226)) % 0.39/0.61 (step @p200 :rule quant-miniscope-or :args ((= @t224 @t226))) % 0.39/0.61 (step @p201 :rule trans :premises (@p200 @p199)) % 0.39/0.61 (step @p202 :rule symm :premises (@p201)) % 0.39/0.61 (step @p203 :rule cong :premises (@p202) :args ((forall @t99 (or @t137 @t251)))) % 0.39/0.61 (step @p204 :rule trans :premises (@p203 @p197)) % 0.39/0.61 (step @p205 :rule trans :premises (@p204 @p196)) % 0.39/0.61 (step @p206 :rule bool-double-not-elim :args (@t251)) % 0.39/0.61 (step @p207 :rule nary_cong :premises (@p22 @p206) :args ((or @t137 (not @t252)))) % 0.39/0.61 (step @p208 :rule bool-and-de-morgan :args (@t97 @t252 true)) % 0.39/0.61 (step @p209 :rule trans :premises (@p208 @p207)) % 0.39/0.61 (step @p210 :rule cong :premises (@p209) :args (@t254)) % 0.39/0.61 (step @p211 :rule trans :premises (@p210 @p205)) % 0.39/0.61 (step @p212 :rule cong :premises (@p211) :args (@t255)) % 0.39/0.61 (step @p213 :rule exists-elim :args ((= (exists @t99 @t253) @t255))) % 0.39/0.61 (step @p214 :rule trans :premises (@p213 @p212)) % 0.39/0.61 (step @p215 :rule aci_norm :args ((= (or @t249 (or @t248 (or @t247 (or @t246 (or @t245 (or @t239 (or @t238 (or @t237 (or @t235 (or @t234 (or @t233 (or @t232 (or @t231 (or @t230 (or @t229 (or @t228 @t227)))))))))))))))) @t250))) % 0.39/0.61 (step @p216 :rule bool-and-de-morgan :args (@t55 @t54 true)) % 0.39/0.61 (step @p217 :rule refl :args (@t229)) % 0.39/0.61 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or @t229 (not (and @t55 @t54))))) % 0.39/0.61 (step @p219 :rule bool-and-de-morgan :args (@t56 @t55 (and @t54))) % 0.39/0.61 (step @p220 :rule trans :premises (@p219 @p218)) % 0.39/0.61 (step @p221 :rule refl :args (@t230)) % 0.39/0.61 (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or @t230 (not (and @t56 @t55 @t54))))) % 0.39/0.61 (step @p223 :rule bool-and-de-morgan :args (@t57 @t56 (and @t55 @t54))) % 0.39/0.61 (step @p224 :rule trans :premises (@p223 @p222)) % 0.39/0.61 (step @p225 :rule refl :args (@t231)) % 0.39/0.61 (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((or @t231 (not (and @t57 @t56 @t55 @t54))))) % 0.39/0.61 (step @p227 :rule bool-and-de-morgan :args (@t59 @t57 (and @t56 @t55 @t54))) % 0.39/0.61 (step @p228 :rule trans :premises (@p227 @p226)) % 0.39/0.61 (step @p229 :rule refl :args (@t232)) % 0.39/0.61 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or @t232 (not (and @t59 @t57 @t56 @t55 @t54))))) % 0.39/0.61 (step @p231 :rule bool-and-de-morgan :args (@t61 @t59 (and @t57 @t56 @t55 @t54))) % 0.39/0.61 (step @p232 :rule trans :premises (@p231 @p230)) % 0.39/0.61 (step @p233 :rule refl :args (@t233)) % 0.39/0.61 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((or @t233 (not (and @t61 @t59 @t57 @t56 @t55 @t54))))) % 0.39/0.61 (step @p235 :rule bool-and-de-morgan :args (@t62 @t61 (and @t59 @t57 @t56 @t55 @t54))) % 0.39/0.61 (step @p236 :rule trans :premises (@p235 @p234)) % 0.39/0.61 (step @p237 :rule refl :args (@t234)) % 0.39/0.61 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((or @t234 (not (and @t62 @t61 @t59 @t57 @t56 @t55 @t54))))) % 0.39/0.61 (step @p239 :rule bool-and-de-morgan :args (@t63 @t62 (and @t61 @t59 @t57 @t56 @t55 @t54))) % 0.39/0.61 (step @p240 :rule trans :premises (@p239 @p238)) % 0.39/0.61 (step @p241 :rule refl :args (@t235)) % 0.39/0.61 (step @p242 :rule nary_cong :premises (@p241 @p240) :args ((or @t235 (not (and @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54))))) % 0.39/0.61 (step @p243 :rule bool-and-de-morgan :args (@t64 @t63 (and @t62 @t61 @t59 @t57 @t56 @t55 @t54))) % 0.39/0.61 (step @p244 :rule trans :premises (@p243 @p242)) % 0.39/0.61 (step @p245 :rule refl :args (@t237)) % 0.39/0.61 (step @p246 :rule nary_cong :premises (@p245 @p244) :args ((or @t237 (not (and @t64 @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54))))) % 0.39/0.61 (step @p247 :rule bool-and-de-morgan :args (@t236 @t64 (and @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54))) % 0.39/0.61 (step @p248 :rule trans :premises (@p247 @p246)) % 0.39/0.61 (step @p249 :rule refl :args (@t238)) % 0.39/0.61 (step @p250 :rule nary_cong :premises (@p249 @p248) :args ((or @t238 (not (and @t236 @t64 @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54))))) % 0.39/0.61 (step @p251 :rule bool-and-de-morgan :args (@t71 @t236 (and @t64 @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54))) % 0.39/0.61 (step @p252 :rule trans :premises (@p251 @p250)) % 0.39/0.61 (step @p253 :rule refl :args (@t239)) % 0.39/0.61 (step @p254 :rule nary_cong :premises (@p253 @p252) :args ((or @t239 (not (and @t71 @t236 @t64 @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54))))) % 0.39/0.61 (step @p255 :rule bool-and-de-morgan :args (@t72 @t71 (and @t236 @t64 @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54))) % 0.39/0.61 (step @p256 :rule trans :premises (@p255 @p254)) % 0.39/0.61 (step @p257 :rule refl :args (@t245)) % 0.39/0.61 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((or @t245 (not (and @t72 @t71 @t236 @t64 @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54))))) % 0.39/0.61 (step @p259 :rule bool-and-de-morgan :args (@t244 @t72 (and @t71 @t236 @t64 @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54))) % 0.39/0.61 (step @p260 :rule trans :premises (@p259 @p258)) % 0.39/0.61 (step @p261 :rule refl :args (@t246)) % 0.39/0.61 (step @p262 :rule nary_cong :premises (@p261 @p260) :args ((or @t246 (not (and @t244 @t72 @t71 @t236 @t64 @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54))))) % 0.39/0.61 (step @p263 :rule bool-and-de-morgan :args (@t90 @t244 (and @t72 @t71 @t236 @t64 @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54))) % 0.39/0.61 (step @p264 :rule trans :premises (@p263 @p262)) % 0.39/0.61 (step @p265 :rule refl :args (@t247)) % 0.39/0.61 (step @p266 :rule nary_cong :premises (@p265 @p264) :args ((or @t247 (not (and @t90 @t244 @t72 @t71 @t236 @t64 @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54))))) % 0.39/0.61 (step @p267 :rule bool-and-de-morgan :args (@t91 @t90 (and @t244 @t72 @t71 @t236 @t64 @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54))) % 0.39/0.61 (step @p268 :rule trans :premises (@p267 @p266)) % 0.39/0.61 (step @p269 :rule refl :args (@t248)) % 0.39/0.61 (step @p270 :rule nary_cong :premises (@p269 @p268) :args ((or @t248 (not (and @t91 @t90 @t244 @t72 @t71 @t236 @t64 @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54))))) % 0.39/0.61 (step @p271 :rule bool-and-de-morgan :args (@t92 @t91 (and @t90 @t244 @t72 @t71 @t236 @t64 @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54))) % 0.39/0.61 (step @p272 :rule trans :premises (@p271 @p270)) % 0.39/0.61 (step @p273 :rule refl :args (@t249)) % 0.39/0.61 (step @p274 :rule nary_cong :premises (@p273 @p272) :args ((or @t249 (not (and @t92 @t91 @t90 @t244 @t72 @t71 @t236 @t64 @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54))))) % 0.39/0.61 (step @p275 :rule bool-and-de-morgan :args (@t93 @t92 (and @t91 @t90 @t244 @t72 @t71 @t236 @t64 @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54))) % 0.39/0.61 (step @p276 :rule trans :premises (@p275 @p274)) % 0.39/0.61 (step @p277 :rule trans :premises (@p276 @p215)) % 0.39/0.61 (step @p278 :rule cong :premises (@p277) :args (@t257)) % 0.39/0.61 (step @p279 :rule cong :premises (@p278) :args (@t258)) % 0.39/0.61 (step @p280 :rule exists-elim :args ((= (exists @t95 @t256) @t258))) % 0.39/0.61 (step @p281 :rule trans :premises (@p280 @p279)) % 0.39/0.61 (step @p282 :rule refl :args (@t54)) % 0.39/0.61 (step @p283 :rule refl :args (@t55)) % 0.39/0.61 (step @p284 :rule refl :args (@t56)) % 0.39/0.61 (step @p285 :rule refl :args (@t57)) % 0.39/0.61 (step @p286 :rule refl :args (@t59)) % 0.39/0.61 (step @p287 :rule refl :args (@t61)) % 0.39/0.61 (step @p288 :rule refl :args (@t62)) % 0.39/0.61 (step @p289 :rule refl :args (@t63)) % 0.39/0.61 (step @p290 :rule refl :args (@t64)) % 0.39/0.61 (step @p291 :rule bool-impl-elim :args (@t68 @t66)) % 0.39/0.61 (step @p292 :rule cong :premises (@p291) :args (@t70)) % 0.39/0.61 (step @p293 :rule refl :args (@t71)) % 0.39/0.61 (step @p294 :rule refl :args (@t72)) % 0.39/0.61 (step @p295 :rule bool-impl-elim :args (@t86 @t243)) % 0.39/0.61 (step @p296 :rule cong :premises (@p295) :args ((forall @t88 (=> @t86 @t243)))) % 0.39/0.61 (step @p297 :rule aci_norm :args ((= (or @t131 (or @t241 (or @t130 (or @t129 (or @t128 (or @t127 @t240)))))) @t242))) % 0.39/0.61 (step @p298 :rule bool-and-de-morgan :args (@t76 @t75 true)) % 0.39/0.61 (step @p299 :rule refl :args (@t128)) % 0.39/0.61 (step @p300 :rule nary_cong :premises (@p299 @p298) :args ((or @t128 (not (and @t76 @t75))))) % 0.39/0.61 (step @p301 :rule bool-and-de-morgan :args (@t77 @t76 (and @t75))) % 0.39/0.61 (step @p302 :rule trans :premises (@p301 @p300)) % 0.39/0.61 (step @p303 :rule refl :args (@t129)) % 0.39/0.61 (step @p304 :rule nary_cong :premises (@p303 @p302) :args ((or @t129 (not (and @t77 @t76 @t75))))) % 0.39/0.61 (step @p305 :rule bool-and-de-morgan :args (@t78 @t77 (and @t76 @t75))) % 0.39/0.61 (step @p306 :rule trans :premises (@p305 @p304)) % 0.39/0.61 (step @p307 :rule refl :args (@t130)) % 0.39/0.61 (step @p308 :rule nary_cong :premises (@p307 @p306) :args ((or @t130 (not (and @t78 @t77 @t76 @t75))))) % 0.39/0.61 (step @p309 :rule bool-and-de-morgan :args (@t80 @t78 (and @t77 @t76 @t75))) % 0.39/0.61 (step @p310 :rule trans :premises (@p309 @p308)) % 0.39/0.61 (step @p311 :rule refl :args (@t241)) % 0.39/0.61 (step @p312 :rule nary_cong :premises (@p311 @p310) :args ((or @t241 (not (and @t80 @t78 @t77 @t76 @t75))))) % 0.39/0.61 (step @p313 :rule bool-and-de-morgan :args (@t81 @t80 (and @t78 @t77 @t76 @t75))) % 0.39/0.61 (step @p314 :rule trans :premises (@p313 @p312)) % 0.39/0.61 (step @p315 :rule refl :args (@t131)) % 0.39/0.61 (step @p316 :rule nary_cong :premises (@p315 @p314) :args ((or @t131 (not (and @t81 @t80 @t78 @t77 @t76 @t75))))) % 0.39/0.61 (step @p317 :rule bool-and-de-morgan :args (@t82 @t81 (and @t80 @t78 @t77 @t76 @t75))) % 0.39/0.61 (step @p318 :rule trans :premises (@p317 @p316)) % 0.39/0.61 (step @p319 :rule trans :premises (@p318 @p297)) % 0.39/0.61 (step @p320 :rule cong :premises (@p319) :args (@t259)) % 0.39/0.61 (step @p321 :rule cong :premises (@p320) :args (@t260)) % 0.39/0.61 (step @p322 :rule exists-elim :args ((= @t85 @t260))) % 0.39/0.61 (step @p323 :rule trans :premises (@p322 @p321)) % 0.39/0.61 (step @p324 :rule refl :args (@t86)) % 0.39/0.61 (step @p325 :rule cong :premises (@p324 @p323) :args (@t87)) % 0.39/0.61 (step @p326 :rule cong :premises (@p325) :args (@t89)) % 0.39/0.61 (step @p327 :rule trans :premises (@p326 @p296)) % 0.39/0.61 (step @p328 :rule refl :args (@t90)) % 0.39/0.61 (step @p329 :rule refl :args (@t91)) % 0.39/0.61 (step @p330 :rule refl :args (@t92)) % 0.39/0.61 (step @p331 :rule refl :args (@t93)) % 0.39/0.61 (step @p332 :rule nary_cong :premises (@p331 @p330 @p329 @p328 @p327 @p294 @p293 @p292 @p290 @p289 @p288 @p287 @p286 @p285 @p284 @p283 @p282) :args (@t94)) % 0.39/0.61 (step @p333 :rule cong :premises (@p332) :args (@t96)) % 0.39/0.61 (step @p334 :rule trans :premises (@p333 @p281)) % 0.39/0.61 (step @p335 :rule refl :args (@t97)) % 0.39/0.61 (step @p336 :rule nary_cong :premises (@p335 @p334) :args (@t98)) % 0.39/0.61 (step @p337 :rule cong :premises (@p336) :args (@t100)) % 0.39/0.61 (step @p338 :rule trans :premises (@p337 @p214)) % 0.39/0.61 (step @p339 :rule cong :premises (@p338 @p194) :args (@t101)) % 0.39/0.61 (step @p340 :rule cong :premises (@p194 @p338) :args (@t102)) % 0.39/0.61 (step @p341 :rule nary_cong :premises (@p340 @p339) :args (@t103)) % 0.39/0.61 (step @p342 :rule cong :premises (@p341) :args (@t104)) % 0.39/0.61 (step @p343 :rule bool-double-not-elim :args (@t103)) % 0.39/0.61 (step @p344 :rule cong :premises (@p343) :args (@t105)) % 0.39/0.61 (step @p345 :rule trans :premises (@p344 @p342)) % 0.39/0.61 (step @p346 :rule eq_resolve :premises (@p1 @p345)) % 0.39/0.61 (step @p347 :rule not_and :premises (@p346)) % 0.39/0.61 (step @p348 :rule chain_m_resolution :premises (@p347 @p49 @p43 @p37) :args (@t174 (@list false false true) (@list @t178 @t177 @t142))) % 0.39/0.61 (step @p349 :rule cnf_implies_neg1 :args (@t178)) % 0.39/0.61 (step @p350 :rule reordering :premises (@p349) :args ((or @t175 @t178))) % 0.39/0.61 (step @p351 :rule chain_m_resolution :premises (@p350 @p348) :args (@t178 @t261 @t262)) % 0.39/0.61 (step @p352 :rule equiv_elim1 :premises (@p36)) % 0.39/0.61 (step @p353 :rule chain_m_resolution :premises (@p352 @p348) :args (@t142 @t261 @t262)) % 0.39/0.61 (step @p354 :rule cnf_implies_neg1 :args (@t177)) % 0.39/0.61 (step @p355 :rule reordering :premises (@p354) :args ((or @t176 @t177))) % 0.39/0.61 (step @p356 :rule chain_m_resolution :premises (@p355 @p353) :args (@t177 @t261 (@list @t142))) % 0.39/0.61 (step @p357 false :rule chain_m_resolution :premises (@p347 @p356 @p351) :args (false (@list false false) (@list @t177 @t178))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------