%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP080+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 : n027.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 0.38s 0.62s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NLP080+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.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 10:00:06 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-sort $$unsorted 0) % 0.38/0.62 (declare-const tptp.actual_world (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.male (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.man (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.cannon (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.fire (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.from_loc (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.of (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.revenge (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.scream (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.member (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.nonreflexive (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.present (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.patient (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.agent (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.event (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.cry (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.shot (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.group (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.six (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.62 (define @t2 () (@var "X1" $$unsorted)) % 0.38/0.62 (define @t3 () (@var "U" $$unsorted)) % 0.38/0.62 (define @t4 () (tptp.of @t3 @t2 @t1)) % 0.38/0.62 (define @t5 () (tptp.scream @t3 @t2)) % 0.38/0.62 (define @t6 () (tptp.nonreflexive @t3 @t2)) % 0.38/0.62 (define @t7 () (tptp.present @t3 @t2)) % 0.38/0.62 (define @t8 () (@var "Z" $$unsorted)) % 0.38/0.62 (define @t9 () (tptp.patient @t3 @t2 @t8)) % 0.38/0.62 (define @t10 () (@var "X" $$unsorted)) % 0.38/0.62 (define @t11 () (tptp.agent @t3 @t2 @t10)) % 0.38/0.62 (define @t12 () (tptp.event @t3 @t2)) % 0.38/0.62 (define @t13 () (tptp.cry @t3 @t8)) % 0.38/0.62 (define @t14 () (tptp.revenge @t3 @t1)) % 0.38/0.62 (define @t15 () (@var "X4" $$unsorted)) % 0.38/0.62 (define @t16 () (tptp.shot @t3 @t15)) % 0.38/0.62 (define @t17 () (tptp.member @t3 @t15 @t10)) % 0.38/0.62 (define @t18 () (@list @t15)) % 0.38/0.62 (define @t19 () (forall @t18 (=> @t17 @t16))) % 0.38/0.62 (define @t20 () (tptp.group @t3 @t10)) % 0.38/0.62 (define @t21 () (tptp.six @t3 @t10)) % 0.38/0.62 (define @t22 () (@var "W" $$unsorted)) % 0.38/0.62 (define @t23 () (@var "X3" $$unsorted)) % 0.38/0.62 (define @t24 () (tptp.from_loc @t3 @t23 @t22)) % 0.38/0.62 (define @t25 () (tptp.fire @t3 @t23)) % 0.38/0.62 (define @t26 () (tptp.nonreflexive @t3 @t23)) % 0.38/0.62 (define @t27 () (tptp.present @t3 @t23)) % 0.38/0.62 (define @t28 () (@var "X2" $$unsorted)) % 0.38/0.62 (define @t29 () (tptp.patient @t3 @t23 @t28)) % 0.38/0.62 (define @t30 () (@var "V" $$unsorted)) % 0.38/0.62 (define @t31 () (tptp.agent @t3 @t23 @t30)) % 0.38/0.62 (define @t32 () (tptp.event @t3 @t23)) % 0.38/0.62 (define @t33 () (and @t32 @t31 @t29 @t27 @t26 @t25 @t24)) % 0.38/0.62 (define @t34 () (@list @t23)) % 0.38/0.62 (define @t35 () (exists @t34 @t33)) % 0.38/0.62 (define @t36 () (tptp.member @t3 @t28 @t10)) % 0.38/0.62 (define @t37 () (=> @t36 @t35)) % 0.38/0.62 (define @t38 () (@list @t28)) % 0.38/0.62 (define @t39 () (forall @t38 @t37)) % 0.38/0.62 (define @t40 () (tptp.cannon @t3 @t22)) % 0.38/0.62 (define @t41 () (tptp.of @t3 @t22 @t30)) % 0.38/0.62 (define @t42 () (tptp.man @t3 @t30)) % 0.38/0.62 (define @t43 () (tptp.male @t3 @t30)) % 0.38/0.62 (define @t44 () (tptp.male @t3 @t10)) % 0.38/0.62 (define @t45 () (and @t44 @t43 @t42 @t41 @t40 @t39 @t21 @t20 @t19 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4)) % 0.38/0.62 (define @t46 () (@list @t30 @t22 @t10 @t1 @t8 @t2)) % 0.38/0.62 (define @t47 () (exists @t46 @t45)) % 0.38/0.62 (define @t48 () (tptp.actual_world @t3)) % 0.38/0.62 (define @t49 () (and @t48 @t47)) % 0.38/0.62 (define @t50 () (@list @t3)) % 0.38/0.62 (define @t51 () (exists @t50 @t49)) % 0.38/0.62 (define @t52 () (@var "X10" $$unsorted)) % 0.38/0.62 (define @t53 () (@var "X11" $$unsorted)) % 0.38/0.62 (define @t54 () (@var "X5" $$unsorted)) % 0.38/0.62 (define @t55 () (tptp.of @t54 @t53 @t52)) % 0.38/0.62 (define @t56 () (tptp.scream @t54 @t53)) % 0.38/0.62 (define @t57 () (tptp.nonreflexive @t54 @t53)) % 0.38/0.62 (define @t58 () (tptp.present @t54 @t53)) % 0.38/0.62 (define @t59 () (@var "X9" $$unsorted)) % 0.38/0.62 (define @t60 () (tptp.patient @t54 @t53 @t59)) % 0.38/0.62 (define @t61 () (@var "X8" $$unsorted)) % 0.38/0.62 (define @t62 () (tptp.agent @t54 @t53 @t61)) % 0.38/0.62 (define @t63 () (tptp.event @t54 @t53)) % 0.38/0.62 (define @t64 () (tptp.revenge @t54 @t52)) % 0.38/0.62 (define @t65 () (tptp.cry @t54 @t59)) % 0.38/0.62 (define @t66 () (@var "X14" $$unsorted)) % 0.38/0.62 (define @t67 () (tptp.shot @t54 @t66)) % 0.38/0.62 (define @t68 () (tptp.member @t54 @t66 @t61)) % 0.38/0.62 (define @t69 () (@list @t66)) % 0.38/0.62 (define @t70 () (forall @t69 (=> @t68 @t67))) % 0.38/0.62 (define @t71 () (tptp.group @t54 @t61)) % 0.38/0.62 (define @t72 () (tptp.six @t54 @t61)) % 0.38/0.62 (define @t73 () (@var "X7" $$unsorted)) % 0.38/0.62 (define @t74 () (@var "X13" $$unsorted)) % 0.38/0.62 (define @t75 () (tptp.from_loc @t54 @t74 @t73)) % 0.38/0.62 (define @t76 () (tptp.fire @t54 @t74)) % 0.38/0.62 (define @t77 () (tptp.nonreflexive @t54 @t74)) % 0.38/0.62 (define @t78 () (tptp.present @t54 @t74)) % 0.38/0.62 (define @t79 () (@var "X12" $$unsorted)) % 0.38/0.62 (define @t80 () (tptp.patient @t54 @t74 @t79)) % 0.38/0.62 (define @t81 () (@var "X6" $$unsorted)) % 0.38/0.62 (define @t82 () (tptp.agent @t54 @t74 @t81)) % 0.38/0.62 (define @t83 () (tptp.event @t54 @t74)) % 0.38/0.62 (define @t84 () (and @t83 @t82 @t80 @t78 @t77 @t76 @t75)) % 0.38/0.62 (define @t85 () (@list @t74)) % 0.38/0.62 (define @t86 () (exists @t85 @t84)) % 0.38/0.62 (define @t87 () (tptp.member @t54 @t79 @t61)) % 0.38/0.62 (define @t88 () (=> @t87 @t86)) % 0.38/0.62 (define @t89 () (@list @t79)) % 0.38/0.62 (define @t90 () (forall @t89 @t88)) % 0.38/0.62 (define @t91 () (tptp.cannon @t54 @t73)) % 0.38/0.62 (define @t92 () (tptp.of @t54 @t73 @t81)) % 0.38/0.62 (define @t93 () (tptp.man @t54 @t81)) % 0.38/0.62 (define @t94 () (tptp.male @t54 @t81)) % 0.38/0.62 (define @t95 () (tptp.male @t54 @t61)) % 0.38/0.62 (define @t96 () (and @t95 @t94 @t93 @t92 @t91 @t90 @t72 @t71 @t70 @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55)) % 0.38/0.62 (define @t97 () (@list @t81 @t73 @t61 @t59 @t52 @t53)) % 0.38/0.62 (define @t98 () (exists @t97 @t96)) % 0.38/0.62 (define @t99 () (tptp.actual_world @t54)) % 0.38/0.62 (define @t100 () (and @t99 @t98)) % 0.38/0.62 (define @t101 () (@list @t54)) % 0.38/0.62 (define @t102 () (exists @t101 @t100)) % 0.38/0.62 (define @t103 () (=> @t102 @t51)) % 0.38/0.62 (define @t104 () (=> @t51 @t102)) % 0.38/0.62 (define @t105 () (and @t104 @t103)) % 0.38/0.62 (define @t106 () (not @t105)) % 0.38/0.62 (define @t107 () (not (not @t106))) % 0.38/0.62 (define @t108 () (@var "BOUND_VARIABLE_7725" $$unsorted)) % 0.38/0.62 (define @t109 () (@var "BOUND_VARIABLE_7727" $$unsorted)) % 0.38/0.62 (define @t110 () (not (tptp.of @t54 @t109 @t108))) % 0.38/0.62 (define @t111 () (not (tptp.scream @t54 @t109))) % 0.38/0.62 (define @t112 () (not (tptp.nonreflexive @t54 @t109))) % 0.38/0.62 (define @t113 () (not (tptp.present @t54 @t109))) % 0.38/0.62 (define @t114 () (@var "BOUND_VARIABLE_7723" $$unsorted)) % 0.38/0.62 (define @t115 () (not (tptp.patient @t54 @t109 @t114))) % 0.38/0.62 (define @t116 () (@var "BOUND_VARIABLE_7721" $$unsorted)) % 0.38/0.62 (define @t117 () (not (tptp.agent @t54 @t109 @t116))) % 0.38/0.62 (define @t118 () (not (tptp.event @t54 @t109))) % 0.38/0.62 (define @t119 () (not (tptp.cry @t54 @t114))) % 0.38/0.62 (define @t120 () (not (tptp.revenge @t54 @t108))) % 0.38/0.62 (define @t121 () (not (tptp.member @t54 @t66 @t116))) % 0.38/0.62 (define @t122 () (or @t121 @t67)) % 0.38/0.62 (define @t123 () (forall @t69 @t122)) % 0.38/0.62 (define @t124 () (not @t123)) % 0.38/0.62 (define @t125 () (not (tptp.group @t54 @t116))) % 0.38/0.62 (define @t126 () (not (tptp.six @t54 @t116))) % 0.38/0.62 (define @t127 () (@var "BOUND_VARIABLE_7719" $$unsorted)) % 0.38/0.62 (define @t128 () (not @t76)) % 0.38/0.62 (define @t129 () (not @t77)) % 0.38/0.62 (define @t130 () (not @t78)) % 0.38/0.62 (define @t131 () (not @t80)) % 0.38/0.62 (define @t132 () (@var "BOUND_VARIABLE_7717" $$unsorted)) % 0.38/0.62 (define @t133 () (not @t83)) % 0.38/0.62 (define @t134 () (not (forall @t89 (or (not (tptp.member @t54 @t79 @t116)) (not (forall @t85 (or @t133 (not (tptp.agent @t54 @t74 @t132)) @t131 @t130 @t129 @t128 (not (tptp.from_loc @t54 @t74 @t127))))))))) % 0.38/0.62 (define @t135 () (not (tptp.cannon @t54 @t127))) % 0.38/0.62 (define @t136 () (not (tptp.of @t54 @t127 @t132))) % 0.38/0.62 (define @t137 () (not (tptp.man @t54 @t132))) % 0.38/0.62 (define @t138 () (not (tptp.male @t54 @t132))) % 0.38/0.62 (define @t139 () (not (tptp.male @t54 @t116))) % 0.38/0.62 (define @t140 () (not @t99)) % 0.38/0.62 (define @t141 () (or @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t126 @t125 @t124 @t120 @t119 @t118 @t117 @t115 @t113 @t112 @t111 @t110)) % 0.38/0.62 (define @t142 () (@list @t54 @t132 @t127 @t116 @t114 @t108 @t109)) % 0.38/0.62 (define @t143 () (forall @t142 @t141)) % 0.38/0.62 (define @t144 () (or @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t126 @t125 @t124 @t119 @t120 @t118 @t117 @t115 @t113 @t112 @t111 @t110)) % 0.38/0.62 (define @t145 () (forall @t142 @t144)) % 0.38/0.62 (define @t146 () (@var "BOUND_VARIABLE_7600" $$unsorted)) % 0.38/0.62 (define @t147 () (@var "BOUND_VARIABLE_7604" $$unsorted)) % 0.38/0.62 (define @t148 () (not (tptp.of @t3 @t147 @t146))) % 0.38/0.62 (define @t149 () (not (tptp.scream @t3 @t147))) % 0.38/0.62 (define @t150 () (not (tptp.nonreflexive @t3 @t147))) % 0.38/0.62 (define @t151 () (not (tptp.present @t3 @t147))) % 0.38/0.62 (define @t152 () (@var "BOUND_VARIABLE_7602" $$unsorted)) % 0.38/0.62 (define @t153 () (not (tptp.patient @t3 @t147 @t152))) % 0.38/0.62 (define @t154 () (@var "BOUND_VARIABLE_7598" $$unsorted)) % 0.38/0.62 (define @t155 () (not (tptp.agent @t3 @t147 @t154))) % 0.38/0.62 (define @t156 () (not (tptp.event @t3 @t147))) % 0.38/0.62 (define @t157 () (not (tptp.cry @t3 @t152))) % 0.38/0.62 (define @t158 () (not (tptp.revenge @t3 @t146))) % 0.38/0.62 (define @t159 () (not (forall @t18 (or (not (tptp.member @t3 @t15 @t154)) @t16)))) % 0.38/0.62 (define @t160 () (not (tptp.group @t3 @t154))) % 0.38/0.62 (define @t161 () (not (tptp.six @t3 @t154))) % 0.38/0.62 (define @t162 () (@var "BOUND_VARIABLE_7596" $$unsorted)) % 0.38/0.62 (define @t163 () (not @t25)) % 0.38/0.62 (define @t164 () (not @t26)) % 0.38/0.62 (define @t165 () (not @t27)) % 0.38/0.62 (define @t166 () (not @t29)) % 0.38/0.62 (define @t167 () (@var "BOUND_VARIABLE_7594" $$unsorted)) % 0.38/0.62 (define @t168 () (not @t32)) % 0.38/0.62 (define @t169 () (not (forall @t38 (or (not (tptp.member @t3 @t28 @t154)) (not (forall @t34 (or @t168 (not (tptp.agent @t3 @t23 @t167)) @t166 @t165 @t164 @t163 (not (tptp.from_loc @t3 @t23 @t162))))))))) % 0.38/0.62 (define @t170 () (not (tptp.cannon @t3 @t162))) % 0.38/0.62 (define @t171 () (not (tptp.of @t3 @t162 @t167))) % 0.38/0.62 (define @t172 () (not (tptp.man @t3 @t167))) % 0.38/0.62 (define @t173 () (not (tptp.male @t3 @t167))) % 0.38/0.62 (define @t174 () (not (tptp.male @t3 @t154))) % 0.38/0.62 (define @t175 () (not @t48)) % 0.38/0.62 (define @t176 () (or @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t161 @t160 @t159 @t158 @t157 @t156 @t155 @t153 @t151 @t150 @t149 @t148)) % 0.38/0.62 (define @t177 () (@list @t3 @t167 @t162 @t154 @t146 @t152 @t147)) % 0.38/0.62 (define @t178 () (forall @t177 @t176)) % 0.38/0.62 (define @t179 () (not @t178)) % 0.38/0.62 (define @t180 () (not @t145)) % 0.38/0.62 (define @t181 () (=> @t180 @t179)) % 0.38/0.62 (define @t182 () (=> @t179 @t180)) % 0.38/0.62 (define @t183 () (or @t174 @t173 @t172 @t171 @t170 @t169 @t161 @t160 @t159 @t158 @t157 @t156 @t155 @t153 @t151 @t150 @t149 @t148)) % 0.38/0.62 (define @t184 () (or @t175 @t183)) % 0.38/0.62 (define @t185 () (forall @t177 @t184)) % 0.38/0.62 (define @t186 () (@list @t167 @t162 @t154 @t146 @t152 @t147)) % 0.38/0.62 (define @t187 () (forall @t186 @t184)) % 0.38/0.62 (define @t188 () (forall @t186 @t183)) % 0.38/0.62 (define @t189 () (or @t175 @t188)) % 0.38/0.62 (define @t190 () (not @t4)) % 0.38/0.62 (define @t191 () (not @t5)) % 0.38/0.62 (define @t192 () (not @t6)) % 0.38/0.62 (define @t193 () (not @t7)) % 0.38/0.62 (define @t194 () (not @t9)) % 0.38/0.62 (define @t195 () (not @t11)) % 0.38/0.62 (define @t196 () (not @t12)) % 0.38/0.62 (define @t197 () (not @t13)) % 0.38/0.62 (define @t198 () (not @t14)) % 0.38/0.62 (define @t199 () (forall @t18 (or (not @t17) @t16))) % 0.38/0.62 (define @t200 () (not @t199)) % 0.38/0.62 (define @t201 () (not @t20)) % 0.38/0.62 (define @t202 () (not @t21)) % 0.38/0.62 (define @t203 () (not @t24)) % 0.38/0.62 (define @t204 () (not @t31)) % 0.38/0.62 (define @t205 () (or @t168 @t204 @t166 @t165 @t164 @t163 @t203)) % 0.38/0.62 (define @t206 () (not (forall @t34 @t205))) % 0.38/0.62 (define @t207 () (forall @t38 (or (not @t36) @t206))) % 0.38/0.62 (define @t208 () (not @t207)) % 0.38/0.62 (define @t209 () (not @t40)) % 0.38/0.62 (define @t210 () (not @t41)) % 0.38/0.62 (define @t211 () (not @t42)) % 0.38/0.62 (define @t212 () (not @t43)) % 0.38/0.62 (define @t213 () (not @t44)) % 0.38/0.62 (define @t214 () (or @t213 @t212 @t211 @t210 @t209 @t208 @t202 @t201 @t200 @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t190)) % 0.38/0.62 (define @t215 () (forall @t46 @t214)) % 0.38/0.62 (define @t216 () (not @t215)) % 0.38/0.62 (define @t217 () (and @t48 @t216)) % 0.38/0.62 (define @t218 () (forall @t50 (not @t217))) % 0.38/0.62 (define @t219 () (not @t218)) % 0.38/0.62 (define @t220 () (and @t44 @t43 @t42 @t41 @t40 @t207 @t21 @t20 @t199 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4)) % 0.38/0.62 (define @t221 () (forall @t46 (not @t220))) % 0.38/0.62 (define @t222 () (not @t221)) % 0.38/0.62 (define @t223 () (forall @t34 (not @t33))) % 0.38/0.62 (define @t224 () (not @t223)) % 0.38/0.62 (define @t225 () (or @t139 @t138 @t137 @t136 @t135 @t134 @t126 @t125 @t124 @t119 @t120 @t118 @t117 @t115 @t113 @t112 @t111 @t110)) % 0.38/0.62 (define @t226 () (or @t140 @t225)) % 0.38/0.62 (define @t227 () (forall @t142 @t226)) % 0.38/0.62 (define @t228 () (@list @t132 @t127 @t116 @t114 @t108 @t109)) % 0.38/0.62 (define @t229 () (forall @t228 @t226)) % 0.38/0.62 (define @t230 () (forall @t228 @t225)) % 0.38/0.62 (define @t231 () (or @t140 @t230)) % 0.38/0.62 (define @t232 () (not @t55)) % 0.38/0.62 (define @t233 () (not @t56)) % 0.38/0.62 (define @t234 () (not @t57)) % 0.38/0.62 (define @t235 () (not @t58)) % 0.38/0.62 (define @t236 () (not @t60)) % 0.38/0.62 (define @t237 () (not @t62)) % 0.38/0.62 (define @t238 () (not @t63)) % 0.38/0.62 (define @t239 () (not @t64)) % 0.38/0.62 (define @t240 () (not @t65)) % 0.38/0.62 (define @t241 () (forall @t69 (or (not @t68) @t67))) % 0.38/0.62 (define @t242 () (not @t241)) % 0.38/0.62 (define @t243 () (not @t71)) % 0.38/0.62 (define @t244 () (not @t72)) % 0.38/0.62 (define @t245 () (not @t75)) % 0.38/0.62 (define @t246 () (not @t82)) % 0.38/0.62 (define @t247 () (or @t133 @t246 @t131 @t130 @t129 @t128 @t245)) % 0.38/0.62 (define @t248 () (not (forall @t85 @t247))) % 0.38/0.62 (define @t249 () (forall @t89 (or (not @t87) @t248))) % 0.38/0.62 (define @t250 () (not @t249)) % 0.38/0.62 (define @t251 () (not @t91)) % 0.38/0.62 (define @t252 () (not @t92)) % 0.38/0.62 (define @t253 () (not @t93)) % 0.38/0.62 (define @t254 () (not @t94)) % 0.38/0.62 (define @t255 () (not @t95)) % 0.38/0.62 (define @t256 () (or @t255 @t254 @t253 @t252 @t251 @t250 @t244 @t243 @t242 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232)) % 0.38/0.62 (define @t257 () (forall @t97 @t256)) % 0.38/0.62 (define @t258 () (not @t257)) % 0.38/0.62 (define @t259 () (and @t99 @t258)) % 0.38/0.62 (define @t260 () (forall @t101 (not @t259))) % 0.38/0.62 (define @t261 () (not @t260)) % 0.38/0.62 (define @t262 () (and @t95 @t94 @t93 @t92 @t91 @t249 @t72 @t71 @t241 @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55)) % 0.38/0.62 (define @t263 () (forall @t97 (not @t262))) % 0.38/0.62 (define @t264 () (not @t263)) % 0.38/0.62 (define @t265 () (forall @t85 (not @t84))) % 0.38/0.62 (define @t266 () (not @t265)) % 0.38/0.62 (define @t267 () (@list false)) % 0.38/0.62 (define @t268 () (@list @t178)) % 0.38/0.62 (assume @p1 @t107) % 0.38/0.62 (assume @p2 true) % 0.38/0.62 (step @p3 :rule refl :args (@t110)) % 0.38/0.62 (step @p4 :rule refl :args (@t111)) % 0.38/0.62 (step @p5 :rule refl :args (@t112)) % 0.38/0.62 (step @p6 :rule refl :args (@t113)) % 0.38/0.62 (step @p7 :rule refl :args (@t115)) % 0.38/0.62 (step @p8 :rule refl :args (@t117)) % 0.38/0.62 (step @p9 :rule refl :args (@t118)) % 0.38/0.62 (step @p10 :rule refl :args (@t119)) % 0.38/0.62 (step @p11 :rule refl :args (@t120)) % 0.38/0.62 (step @p12 :rule aci_norm :args ((= @t122 (or @t67 @t121)))) % 0.38/0.62 (step @p13 :rule cong :premises (@p12) :args (@t123)) % 0.38/0.62 (step @p14 :rule cong :premises (@p13) :args (@t124)) % 0.38/0.62 (step @p15 :rule refl :args (@t125)) % 0.38/0.62 (step @p16 :rule refl :args (@t126)) % 0.38/0.62 (step @p17 :rule refl :args (@t134)) % 0.38/0.62 (step @p18 :rule refl :args (@t135)) % 0.38/0.62 (step @p19 :rule refl :args (@t136)) % 0.38/0.62 (step @p20 :rule refl :args (@t137)) % 0.38/0.62 (step @p21 :rule refl :args (@t138)) % 0.38/0.62 (step @p22 :rule refl :args (@t139)) % 0.38/0.62 (step @p23 :rule refl :args (@t140)) % 0.38/0.62 (step @p24 :rule nary_cong :premises (@p23 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p11 @p10 @p9 @p8 @p7 @p6 @p5 @p4 @p3) :args (@t141)) % 0.38/0.62 (step @p25 :rule cong :premises (@p24) :args (@t143)) % 0.38/0.62 (step @p26 :rule nary_cong :premises (@p23 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p10 @p11 @p9 @p8 @p7 @p6 @p5 @p4 @p3) :args (@t144)) % 0.38/0.62 (step @p27 :rule cong :premises (@p26) :args (@t145)) % 0.38/0.62 (step @p28 :rule cong :premises (@p27 @p25) :args ((= @t145 @t143))) % 0.38/0.62 (step @p29 :rule aci_norm :args ((= @t144 @t141))) % 0.38/0.62 (step @p30 :rule cong :premises (@p29) :args (@t145)) % 0.38/0.62 (step @p31 :rule symm :premises (@p30)) % 0.38/0.62 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t143 @t145))) % 0.38/0.62 (step @p33 :rule trans :premises (@p32 @p28)) % 0.38/0.62 (step @p34 :rule true_elim :premises (@p33)) % 0.38/0.62 (step @p35 :rule quant_var_reordering :args ((= (forall (@list @t54 @t132 @t127 @t116 @t108 @t114 @t109) @t141) @t143))) % 0.38/0.62 (step @p36 :rule alpha_equiv :args (@t178 (@list @t3 @t167 @t154 @t28 @t23 @t162 @t15 @t147 @t146 @t152) (@list @t54 @t132 @t116 @t79 @t74 @t127 @t66 @t109 @t108 @t114))) % 0.38/0.62 (step @p37 :rule trans :premises (@p36 @p35 @p34)) % 0.38/0.62 (step @p38 :rule equiv_elim2 :premises (@p37)) % 0.38/0.62 (step @p39 :rule bool-double-not-elim :args (@t178)) % 0.38/0.62 (step @p40 :rule refl :args (@t181)) % 0.38/0.62 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t181 (not @t179)))) % 0.38/0.62 (step @p42 :rule cnf_implies_neg2 :args (@t181)) % 0.38/0.62 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.38/0.62 (step @p44 :rule reordering :premises (@p43) :args ((or @t178 @t181))) % 0.38/0.62 (step @p45 :rule bool-double-not-elim :args (@t145)) % 0.38/0.62 (step @p46 :rule refl :args (@t182)) % 0.38/0.62 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t182 (not @t180)))) % 0.38/0.62 (step @p48 :rule cnf_implies_neg2 :args (@t182)) % 0.38/0.62 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.38/0.62 (step @p50 :rule reordering :premises (@p49) :args ((or @t145 @t182))) % 0.38/0.62 (step @p51 :rule aci_norm :args ((= @t184 @t176))) % 0.38/0.62 (step @p52 :rule cong :premises (@p51) :args (@t185)) % 0.38/0.62 (step @p53 :rule quant-merge-prenex :args ((= (forall @t50 @t187) @t185))) % 0.38/0.62 (step @p54 :rule alpha_equiv :args (@t188 (@list @t167 @t162 @t154 @t146 @t152 @t147) (@list @t30 @t22 @t10 @t1 @t8 @t2))) % 0.38/0.62 (step @p55 :rule refl :args (@t175)) % 0.38/0.62 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t189)) % 0.38/0.62 (step @p57 :rule quant-miniscope-or :args ((= @t187 @t189))) % 0.38/0.62 (step @p58 :rule trans :premises (@p57 @p56)) % 0.38/0.62 (step @p59 :rule symm :premises (@p58)) % 0.38/0.62 (step @p60 :rule cong :premises (@p59) :args ((forall @t50 (or @t175 @t215)))) % 0.38/0.62 (step @p61 :rule trans :premises (@p60 @p53)) % 0.38/0.62 (step @p62 :rule trans :premises (@p61 @p52)) % 0.38/0.62 (step @p63 :rule bool-double-not-elim :args (@t215)) % 0.38/0.62 (step @p64 :rule nary_cong :premises (@p55 @p63) :args ((or @t175 (not @t216)))) % 0.38/0.62 (step @p65 :rule bool-and-de-morgan :args (@t48 @t216 true)) % 0.38/0.62 (step @p66 :rule trans :premises (@p65 @p64)) % 0.38/0.62 (step @p67 :rule cong :premises (@p66) :args (@t218)) % 0.38/0.62 (step @p68 :rule trans :premises (@p67 @p62)) % 0.38/0.62 (step @p69 :rule cong :premises (@p68) :args (@t219)) % 0.38/0.62 (step @p70 :rule exists-elim :args ((= (exists @t50 @t217) @t219))) % 0.38/0.62 (step @p71 :rule trans :premises (@p70 @p69)) % 0.38/0.62 (step @p72 :rule aci_norm :args ((= (or @t213 (or @t212 (or @t211 (or @t210 (or @t209 (or @t208 (or @t202 (or @t201 (or @t200 (or @t198 (or @t197 (or @t196 (or @t195 (or @t194 (or @t193 (or @t192 (or @t191 @t190))))))))))))))))) @t214))) % 0.38/0.62 (step @p73 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.38/0.62 (step @p74 :rule refl :args (@t192)) % 0.38/0.62 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t192 (not (and @t5 @t4))))) % 0.38/0.62 (step @p76 :rule bool-and-de-morgan :args (@t6 @t5 (and @t4))) % 0.38/0.62 (step @p77 :rule trans :premises (@p76 @p75)) % 0.38/0.62 (step @p78 :rule refl :args (@t193)) % 0.38/0.62 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t193 (not (and @t6 @t5 @t4))))) % 0.38/0.62 (step @p80 :rule bool-and-de-morgan :args (@t7 @t6 (and @t5 @t4))) % 0.38/0.62 (step @p81 :rule trans :premises (@p80 @p79)) % 0.38/0.62 (step @p82 :rule refl :args (@t194)) % 0.38/0.62 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t194 (not (and @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p84 :rule bool-and-de-morgan :args (@t9 @t7 (and @t6 @t5 @t4))) % 0.38/0.62 (step @p85 :rule trans :premises (@p84 @p83)) % 0.38/0.62 (step @p86 :rule refl :args (@t195)) % 0.38/0.62 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t195 (not (and @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p88 :rule bool-and-de-morgan :args (@t11 @t9 (and @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p89 :rule trans :premises (@p88 @p87)) % 0.38/0.62 (step @p90 :rule refl :args (@t196)) % 0.38/0.62 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t196 (not (and @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p92 :rule bool-and-de-morgan :args (@t12 @t11 (and @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p93 :rule trans :premises (@p92 @p91)) % 0.38/0.62 (step @p94 :rule refl :args (@t197)) % 0.38/0.62 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t197 (not (and @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p96 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p97 :rule trans :premises (@p96 @p95)) % 0.38/0.62 (step @p98 :rule refl :args (@t198)) % 0.38/0.62 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t198 (not (and @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p100 :rule bool-and-de-morgan :args (@t14 @t13 (and @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p101 :rule trans :premises (@p100 @p99)) % 0.38/0.62 (step @p102 :rule refl :args (@t200)) % 0.38/0.62 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or @t200 (not (and @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p104 :rule bool-and-de-morgan :args (@t199 @t14 (and @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p105 :rule trans :premises (@p104 @p103)) % 0.38/0.62 (step @p106 :rule refl :args (@t201)) % 0.38/0.62 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t201 (not (and @t199 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p108 :rule bool-and-de-morgan :args (@t20 @t199 (and @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p109 :rule trans :premises (@p108 @p107)) % 0.38/0.62 (step @p110 :rule refl :args (@t202)) % 0.38/0.62 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t202 (not (and @t20 @t199 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p112 :rule bool-and-de-morgan :args (@t21 @t20 (and @t199 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p113 :rule trans :premises (@p112 @p111)) % 0.38/0.62 (step @p114 :rule refl :args (@t208)) % 0.38/0.62 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t208 (not (and @t21 @t20 @t199 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p116 :rule bool-and-de-morgan :args (@t207 @t21 (and @t20 @t199 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p117 :rule trans :premises (@p116 @p115)) % 0.38/0.62 (step @p118 :rule refl :args (@t209)) % 0.38/0.62 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t209 (not (and @t207 @t21 @t20 @t199 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p120 :rule bool-and-de-morgan :args (@t40 @t207 (and @t21 @t20 @t199 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p121 :rule trans :premises (@p120 @p119)) % 0.38/0.62 (step @p122 :rule refl :args (@t210)) % 0.38/0.62 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or @t210 (not (and @t40 @t207 @t21 @t20 @t199 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p124 :rule bool-and-de-morgan :args (@t41 @t40 (and @t207 @t21 @t20 @t199 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p125 :rule trans :premises (@p124 @p123)) % 0.38/0.62 (step @p126 :rule refl :args (@t211)) % 0.38/0.62 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t211 (not (and @t41 @t40 @t207 @t21 @t20 @t199 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p128 :rule bool-and-de-morgan :args (@t42 @t41 (and @t40 @t207 @t21 @t20 @t199 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p129 :rule trans :premises (@p128 @p127)) % 0.38/0.62 (step @p130 :rule refl :args (@t212)) % 0.38/0.62 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or @t212 (not (and @t42 @t41 @t40 @t207 @t21 @t20 @t199 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p132 :rule bool-and-de-morgan :args (@t43 @t42 (and @t41 @t40 @t207 @t21 @t20 @t199 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p133 :rule trans :premises (@p132 @p131)) % 0.38/0.62 (step @p134 :rule refl :args (@t213)) % 0.38/0.62 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t213 (not (and @t43 @t42 @t41 @t40 @t207 @t21 @t20 @t199 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p136 :rule bool-and-de-morgan :args (@t44 @t43 (and @t42 @t41 @t40 @t207 @t21 @t20 @t199 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p137 :rule trans :premises (@p136 @p135)) % 0.38/0.62 (step @p138 :rule trans :premises (@p137 @p72)) % 0.38/0.62 (step @p139 :rule cong :premises (@p138) :args (@t221)) % 0.38/0.62 (step @p140 :rule cong :premises (@p139) :args (@t222)) % 0.38/0.62 (step @p141 :rule exists-elim :args ((= (exists @t46 @t220) @t222))) % 0.38/0.62 (step @p142 :rule trans :premises (@p141 @p140)) % 0.38/0.62 (step @p143 :rule refl :args (@t4)) % 0.38/0.62 (step @p144 :rule refl :args (@t5)) % 0.38/0.62 (step @p145 :rule refl :args (@t6)) % 0.38/0.62 (step @p146 :rule refl :args (@t7)) % 0.38/0.62 (step @p147 :rule refl :args (@t9)) % 0.38/0.62 (step @p148 :rule refl :args (@t11)) % 0.38/0.62 (step @p149 :rule refl :args (@t12)) % 0.38/0.62 (step @p150 :rule refl :args (@t13)) % 0.38/0.62 (step @p151 :rule refl :args (@t14)) % 0.38/0.62 (step @p152 :rule bool-impl-elim :args (@t17 @t16)) % 0.38/0.62 (step @p153 :rule cong :premises (@p152) :args (@t19)) % 0.38/0.62 (step @p154 :rule refl :args (@t20)) % 0.38/0.62 (step @p155 :rule refl :args (@t21)) % 0.38/0.62 (step @p156 :rule bool-impl-elim :args (@t36 @t206)) % 0.38/0.62 (step @p157 :rule cong :premises (@p156) :args ((forall @t38 (=> @t36 @t206)))) % 0.38/0.62 (step @p158 :rule aci_norm :args ((= (or @t168 (or @t204 (or @t166 (or @t165 (or @t164 (or @t163 @t203)))))) @t205))) % 0.38/0.62 (step @p159 :rule bool-and-de-morgan :args (@t25 @t24 true)) % 0.38/0.62 (step @p160 :rule refl :args (@t164)) % 0.38/0.62 (step @p161 :rule nary_cong :premises (@p160 @p159) :args ((or @t164 (not (and @t25 @t24))))) % 0.38/0.62 (step @p162 :rule bool-and-de-morgan :args (@t26 @t25 (and @t24))) % 0.38/0.62 (step @p163 :rule trans :premises (@p162 @p161)) % 0.38/0.62 (step @p164 :rule refl :args (@t165)) % 0.38/0.62 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t165 (not (and @t26 @t25 @t24))))) % 0.38/0.62 (step @p166 :rule bool-and-de-morgan :args (@t27 @t26 (and @t25 @t24))) % 0.38/0.62 (step @p167 :rule trans :premises (@p166 @p165)) % 0.38/0.62 (step @p168 :rule refl :args (@t166)) % 0.38/0.62 (step @p169 :rule nary_cong :premises (@p168 @p167) :args ((or @t166 (not (and @t27 @t26 @t25 @t24))))) % 0.38/0.62 (step @p170 :rule bool-and-de-morgan :args (@t29 @t27 (and @t26 @t25 @t24))) % 0.38/0.62 (step @p171 :rule trans :premises (@p170 @p169)) % 0.38/0.62 (step @p172 :rule refl :args (@t204)) % 0.38/0.62 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or @t204 (not (and @t29 @t27 @t26 @t25 @t24))))) % 0.38/0.62 (step @p174 :rule bool-and-de-morgan :args (@t31 @t29 (and @t27 @t26 @t25 @t24))) % 0.38/0.62 (step @p175 :rule trans :premises (@p174 @p173)) % 0.38/0.62 (step @p176 :rule refl :args (@t168)) % 0.38/0.62 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or @t168 (not (and @t31 @t29 @t27 @t26 @t25 @t24))))) % 0.38/0.62 (step @p178 :rule bool-and-de-morgan :args (@t32 @t31 (and @t29 @t27 @t26 @t25 @t24))) % 0.38/0.62 (step @p179 :rule trans :premises (@p178 @p177)) % 0.38/0.62 (step @p180 :rule trans :premises (@p179 @p158)) % 0.38/0.62 (step @p181 :rule cong :premises (@p180) :args (@t223)) % 0.38/0.62 (step @p182 :rule cong :premises (@p181) :args (@t224)) % 0.38/0.62 (step @p183 :rule exists-elim :args ((= @t35 @t224))) % 0.38/0.62 (step @p184 :rule trans :premises (@p183 @p182)) % 0.38/0.62 (step @p185 :rule refl :args (@t36)) % 0.38/0.62 (step @p186 :rule cong :premises (@p185 @p184) :args (@t37)) % 0.38/0.62 (step @p187 :rule cong :premises (@p186) :args (@t39)) % 0.38/0.62 (step @p188 :rule trans :premises (@p187 @p157)) % 0.38/0.62 (step @p189 :rule refl :args (@t40)) % 0.38/0.62 (step @p190 :rule refl :args (@t41)) % 0.38/0.62 (step @p191 :rule refl :args (@t42)) % 0.38/0.62 (step @p192 :rule refl :args (@t43)) % 0.38/0.62 (step @p193 :rule refl :args (@t44)) % 0.38/0.62 (step @p194 :rule nary_cong :premises (@p193 @p192 @p191 @p190 @p189 @p188 @p155 @p154 @p153 @p151 @p150 @p149 @p148 @p147 @p146 @p145 @p144 @p143) :args (@t45)) % 0.38/0.62 (step @p195 :rule cong :premises (@p194) :args (@t47)) % 0.38/0.62 (step @p196 :rule trans :premises (@p195 @p142)) % 0.38/0.62 (step @p197 :rule refl :args (@t48)) % 0.38/0.62 (step @p198 :rule nary_cong :premises (@p197 @p196) :args (@t49)) % 0.38/0.62 (step @p199 :rule cong :premises (@p198) :args (@t51)) % 0.38/0.62 (step @p200 :rule trans :premises (@p199 @p71)) % 0.38/0.62 (step @p201 :rule aci_norm :args ((= @t226 @t144))) % 0.38/0.62 (step @p202 :rule cong :premises (@p201) :args (@t227)) % 0.38/0.62 (step @p203 :rule quant-merge-prenex :args ((= (forall @t101 @t229) @t227))) % 0.38/0.62 (step @p204 :rule alpha_equiv :args (@t230 (@list @t132 @t127 @t116 @t114 @t108 @t109) (@list @t81 @t73 @t61 @t59 @t52 @t53))) % 0.38/0.62 (step @p205 :rule nary_cong :premises (@p23 @p204) :args (@t231)) % 0.38/0.62 (step @p206 :rule quant-miniscope-or :args ((= @t229 @t231))) % 0.38/0.62 (step @p207 :rule trans :premises (@p206 @p205)) % 0.38/0.62 (step @p208 :rule symm :premises (@p207)) % 0.38/0.62 (step @p209 :rule cong :premises (@p208) :args ((forall @t101 (or @t140 @t257)))) % 0.38/0.62 (step @p210 :rule trans :premises (@p209 @p203)) % 0.38/0.62 (step @p211 :rule trans :premises (@p210 @p202)) % 0.38/0.62 (step @p212 :rule bool-double-not-elim :args (@t257)) % 0.38/0.62 (step @p213 :rule nary_cong :premises (@p23 @p212) :args ((or @t140 (not @t258)))) % 0.38/0.62 (step @p214 :rule bool-and-de-morgan :args (@t99 @t258 true)) % 0.38/0.62 (step @p215 :rule trans :premises (@p214 @p213)) % 0.38/0.62 (step @p216 :rule cong :premises (@p215) :args (@t260)) % 0.38/0.62 (step @p217 :rule trans :premises (@p216 @p211)) % 0.38/0.62 (step @p218 :rule cong :premises (@p217) :args (@t261)) % 0.38/0.62 (step @p219 :rule exists-elim :args ((= (exists @t101 @t259) @t261))) % 0.38/0.62 (step @p220 :rule trans :premises (@p219 @p218)) % 0.38/0.62 (step @p221 :rule aci_norm :args ((= (or @t255 (or @t254 (or @t253 (or @t252 (or @t251 (or @t250 (or @t244 (or @t243 (or @t242 (or @t240 (or @t239 (or @t238 (or @t237 (or @t236 (or @t235 (or @t234 (or @t233 @t232))))))))))))))))) @t256))) % 0.38/0.62 (step @p222 :rule bool-and-de-morgan :args (@t56 @t55 true)) % 0.38/0.62 (step @p223 :rule refl :args (@t234)) % 0.38/0.62 (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or @t234 (not (and @t56 @t55))))) % 0.38/0.62 (step @p225 :rule bool-and-de-morgan :args (@t57 @t56 (and @t55))) % 0.38/0.62 (step @p226 :rule trans :premises (@p225 @p224)) % 0.38/0.62 (step @p227 :rule refl :args (@t235)) % 0.38/0.62 (step @p228 :rule nary_cong :premises (@p227 @p226) :args ((or @t235 (not (and @t57 @t56 @t55))))) % 0.38/0.62 (step @p229 :rule bool-and-de-morgan :args (@t58 @t57 (and @t56 @t55))) % 0.38/0.62 (step @p230 :rule trans :premises (@p229 @p228)) % 0.38/0.62 (step @p231 :rule refl :args (@t236)) % 0.38/0.62 (step @p232 :rule nary_cong :premises (@p231 @p230) :args ((or @t236 (not (and @t58 @t57 @t56 @t55))))) % 0.38/0.62 (step @p233 :rule bool-and-de-morgan :args (@t60 @t58 (and @t57 @t56 @t55))) % 0.38/0.62 (step @p234 :rule trans :premises (@p233 @p232)) % 0.38/0.62 (step @p235 :rule refl :args (@t237)) % 0.38/0.62 (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or @t237 (not (and @t60 @t58 @t57 @t56 @t55))))) % 0.38/0.62 (step @p237 :rule bool-and-de-morgan :args (@t62 @t60 (and @t58 @t57 @t56 @t55))) % 0.38/0.62 (step @p238 :rule trans :premises (@p237 @p236)) % 0.38/0.62 (step @p239 :rule refl :args (@t238)) % 0.38/0.62 (step @p240 :rule nary_cong :premises (@p239 @p238) :args ((or @t238 (not (and @t62 @t60 @t58 @t57 @t56 @t55))))) % 0.38/0.62 (step @p241 :rule bool-and-de-morgan :args (@t63 @t62 (and @t60 @t58 @t57 @t56 @t55))) % 0.38/0.62 (step @p242 :rule trans :premises (@p241 @p240)) % 0.38/0.62 (step @p243 :rule refl :args (@t239)) % 0.38/0.62 (step @p244 :rule nary_cong :premises (@p243 @p242) :args ((or @t239 (not (and @t63 @t62 @t60 @t58 @t57 @t56 @t55))))) % 0.38/0.62 (step @p245 :rule bool-and-de-morgan :args (@t64 @t63 (and @t62 @t60 @t58 @t57 @t56 @t55))) % 0.38/0.62 (step @p246 :rule trans :premises (@p245 @p244)) % 0.38/0.62 (step @p247 :rule refl :args (@t240)) % 0.38/0.62 (step @p248 :rule nary_cong :premises (@p247 @p246) :args ((or @t240 (not (and @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))))) % 0.38/0.62 (step @p249 :rule bool-and-de-morgan :args (@t65 @t64 (and @t63 @t62 @t60 @t58 @t57 @t56 @t55))) % 0.38/0.62 (step @p250 :rule trans :premises (@p249 @p248)) % 0.38/0.62 (step @p251 :rule refl :args (@t242)) % 0.38/0.62 (step @p252 :rule nary_cong :premises (@p251 @p250) :args ((or @t242 (not (and @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))))) % 0.38/0.62 (step @p253 :rule bool-and-de-morgan :args (@t241 @t65 (and @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))) % 0.38/0.62 (step @p254 :rule trans :premises (@p253 @p252)) % 0.38/0.62 (step @p255 :rule refl :args (@t243)) % 0.38/0.62 (step @p256 :rule nary_cong :premises (@p255 @p254) :args ((or @t243 (not (and @t241 @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))))) % 0.38/0.62 (step @p257 :rule bool-and-de-morgan :args (@t71 @t241 (and @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))) % 0.38/0.62 (step @p258 :rule trans :premises (@p257 @p256)) % 0.38/0.62 (step @p259 :rule refl :args (@t244)) % 0.38/0.62 (step @p260 :rule nary_cong :premises (@p259 @p258) :args ((or @t244 (not (and @t71 @t241 @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))))) % 0.38/0.62 (step @p261 :rule bool-and-de-morgan :args (@t72 @t71 (and @t241 @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))) % 0.38/0.62 (step @p262 :rule trans :premises (@p261 @p260)) % 0.38/0.62 (step @p263 :rule refl :args (@t250)) % 0.38/0.62 (step @p264 :rule nary_cong :premises (@p263 @p262) :args ((or @t250 (not (and @t72 @t71 @t241 @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))))) % 0.38/0.62 (step @p265 :rule bool-and-de-morgan :args (@t249 @t72 (and @t71 @t241 @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))) % 0.38/0.62 (step @p266 :rule trans :premises (@p265 @p264)) % 0.38/0.62 (step @p267 :rule refl :args (@t251)) % 0.38/0.62 (step @p268 :rule nary_cong :premises (@p267 @p266) :args ((or @t251 (not (and @t249 @t72 @t71 @t241 @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))))) % 0.38/0.62 (step @p269 :rule bool-and-de-morgan :args (@t91 @t249 (and @t72 @t71 @t241 @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))) % 0.38/0.62 (step @p270 :rule trans :premises (@p269 @p268)) % 0.38/0.62 (step @p271 :rule refl :args (@t252)) % 0.38/0.62 (step @p272 :rule nary_cong :premises (@p271 @p270) :args ((or @t252 (not (and @t91 @t249 @t72 @t71 @t241 @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))))) % 0.38/0.62 (step @p273 :rule bool-and-de-morgan :args (@t92 @t91 (and @t249 @t72 @t71 @t241 @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))) % 0.38/0.62 (step @p274 :rule trans :premises (@p273 @p272)) % 0.38/0.62 (step @p275 :rule refl :args (@t253)) % 0.38/0.62 (step @p276 :rule nary_cong :premises (@p275 @p274) :args ((or @t253 (not (and @t92 @t91 @t249 @t72 @t71 @t241 @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))))) % 0.38/0.62 (step @p277 :rule bool-and-de-morgan :args (@t93 @t92 (and @t91 @t249 @t72 @t71 @t241 @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))) % 0.38/0.62 (step @p278 :rule trans :premises (@p277 @p276)) % 0.38/0.62 (step @p279 :rule refl :args (@t254)) % 0.38/0.62 (step @p280 :rule nary_cong :premises (@p279 @p278) :args ((or @t254 (not (and @t93 @t92 @t91 @t249 @t72 @t71 @t241 @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))))) % 0.38/0.62 (step @p281 :rule bool-and-de-morgan :args (@t94 @t93 (and @t92 @t91 @t249 @t72 @t71 @t241 @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))) % 0.38/0.62 (step @p282 :rule trans :premises (@p281 @p280)) % 0.38/0.62 (step @p283 :rule refl :args (@t255)) % 0.38/0.62 (step @p284 :rule nary_cong :premises (@p283 @p282) :args ((or @t255 (not (and @t94 @t93 @t92 @t91 @t249 @t72 @t71 @t241 @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))))) % 0.38/0.62 (step @p285 :rule bool-and-de-morgan :args (@t95 @t94 (and @t93 @t92 @t91 @t249 @t72 @t71 @t241 @t65 @t64 @t63 @t62 @t60 @t58 @t57 @t56 @t55))) % 0.38/0.62 (step @p286 :rule trans :premises (@p285 @p284)) % 0.38/0.62 (step @p287 :rule trans :premises (@p286 @p221)) % 0.38/0.62 (step @p288 :rule cong :premises (@p287) :args (@t263)) % 0.38/0.62 (step @p289 :rule cong :premises (@p288) :args (@t264)) % 0.38/0.62 (step @p290 :rule exists-elim :args ((= (exists @t97 @t262) @t264))) % 0.38/0.62 (step @p291 :rule trans :premises (@p290 @p289)) % 0.38/0.62 (step @p292 :rule refl :args (@t55)) % 0.38/0.62 (step @p293 :rule refl :args (@t56)) % 0.38/0.62 (step @p294 :rule refl :args (@t57)) % 0.38/0.62 (step @p295 :rule refl :args (@t58)) % 0.38/0.62 (step @p296 :rule refl :args (@t60)) % 0.38/0.62 (step @p297 :rule refl :args (@t62)) % 0.38/0.62 (step @p298 :rule refl :args (@t63)) % 0.38/0.62 (step @p299 :rule refl :args (@t64)) % 0.38/0.62 (step @p300 :rule refl :args (@t65)) % 0.38/0.62 (step @p301 :rule bool-impl-elim :args (@t68 @t67)) % 0.38/0.62 (step @p302 :rule cong :premises (@p301) :args (@t70)) % 0.38/0.62 (step @p303 :rule refl :args (@t71)) % 0.38/0.62 (step @p304 :rule refl :args (@t72)) % 0.38/0.62 (step @p305 :rule bool-impl-elim :args (@t87 @t248)) % 0.38/0.62 (step @p306 :rule cong :premises (@p305) :args ((forall @t89 (=> @t87 @t248)))) % 0.38/0.62 (step @p307 :rule aci_norm :args ((= (or @t133 (or @t246 (or @t131 (or @t130 (or @t129 (or @t128 @t245)))))) @t247))) % 0.38/0.62 (step @p308 :rule bool-and-de-morgan :args (@t76 @t75 true)) % 0.38/0.62 (step @p309 :rule refl :args (@t129)) % 0.38/0.62 (step @p310 :rule nary_cong :premises (@p309 @p308) :args ((or @t129 (not (and @t76 @t75))))) % 0.38/0.62 (step @p311 :rule bool-and-de-morgan :args (@t77 @t76 (and @t75))) % 0.38/0.62 (step @p312 :rule trans :premises (@p311 @p310)) % 0.38/0.62 (step @p313 :rule refl :args (@t130)) % 0.38/0.62 (step @p314 :rule nary_cong :premises (@p313 @p312) :args ((or @t130 (not (and @t77 @t76 @t75))))) % 0.38/0.62 (step @p315 :rule bool-and-de-morgan :args (@t78 @t77 (and @t76 @t75))) % 0.38/0.62 (step @p316 :rule trans :premises (@p315 @p314)) % 0.38/0.62 (step @p317 :rule refl :args (@t131)) % 0.38/0.62 (step @p318 :rule nary_cong :premises (@p317 @p316) :args ((or @t131 (not (and @t78 @t77 @t76 @t75))))) % 0.38/0.62 (step @p319 :rule bool-and-de-morgan :args (@t80 @t78 (and @t77 @t76 @t75))) % 0.38/0.62 (step @p320 :rule trans :premises (@p319 @p318)) % 0.38/0.62 (step @p321 :rule refl :args (@t246)) % 0.38/0.62 (step @p322 :rule nary_cong :premises (@p321 @p320) :args ((or @t246 (not (and @t80 @t78 @t77 @t76 @t75))))) % 0.38/0.62 (step @p323 :rule bool-and-de-morgan :args (@t82 @t80 (and @t78 @t77 @t76 @t75))) % 0.38/0.62 (step @p324 :rule trans :premises (@p323 @p322)) % 0.38/0.62 (step @p325 :rule refl :args (@t133)) % 0.38/0.62 (step @p326 :rule nary_cong :premises (@p325 @p324) :args ((or @t133 (not (and @t82 @t80 @t78 @t77 @t76 @t75))))) % 0.38/0.62 (step @p327 :rule bool-and-de-morgan :args (@t83 @t82 (and @t80 @t78 @t77 @t76 @t75))) % 0.38/0.62 (step @p328 :rule trans :premises (@p327 @p326)) % 0.38/0.62 (step @p329 :rule trans :premises (@p328 @p307)) % 0.38/0.62 (step @p330 :rule cong :premises (@p329) :args (@t265)) % 0.38/0.62 (step @p331 :rule cong :premises (@p330) :args (@t266)) % 0.38/0.62 (step @p332 :rule exists-elim :args ((= @t86 @t266))) % 0.38/0.62 (step @p333 :rule trans :premises (@p332 @p331)) % 0.38/0.62 (step @p334 :rule refl :args (@t87)) % 0.38/0.62 (step @p335 :rule cong :premises (@p334 @p333) :args (@t88)) % 0.38/0.62 (step @p336 :rule cong :premises (@p335) :args (@t90)) % 0.38/0.62 (step @p337 :rule trans :premises (@p336 @p306)) % 0.38/0.62 (step @p338 :rule refl :args (@t91)) % 0.38/0.62 (step @p339 :rule refl :args (@t92)) % 0.38/0.62 (step @p340 :rule refl :args (@t93)) % 0.38/0.62 (step @p341 :rule refl :args (@t94)) % 0.38/0.62 (step @p342 :rule refl :args (@t95)) % 0.38/0.62 (step @p343 :rule nary_cong :premises (@p342 @p341 @p340 @p339 @p338 @p337 @p304 @p303 @p302 @p300 @p299 @p298 @p297 @p296 @p295 @p294 @p293 @p292) :args (@t96)) % 0.38/0.62 (step @p344 :rule cong :premises (@p343) :args (@t98)) % 0.38/0.62 (step @p345 :rule trans :premises (@p344 @p291)) % 0.38/0.62 (step @p346 :rule refl :args (@t99)) % 0.38/0.62 (step @p347 :rule nary_cong :premises (@p346 @p345) :args (@t100)) % 0.38/0.62 (step @p348 :rule cong :premises (@p347) :args (@t102)) % 0.38/0.62 (step @p349 :rule trans :premises (@p348 @p220)) % 0.38/0.62 (step @p350 :rule cong :premises (@p349 @p200) :args (@t103)) % 0.38/0.62 (step @p351 :rule cong :premises (@p200 @p349) :args (@t104)) % 0.38/0.62 (step @p352 :rule nary_cong :premises (@p351 @p350) :args (@t105)) % 0.38/0.62 (step @p353 :rule cong :premises (@p352) :args (@t106)) % 0.38/0.62 (step @p354 :rule bool-double-not-elim :args (@t105)) % 0.38/0.62 (step @p355 :rule cong :premises (@p354) :args (@t107)) % 0.38/0.62 (step @p356 :rule trans :premises (@p355 @p353)) % 0.38/0.62 (step @p357 :rule eq_resolve :premises (@p1 @p356)) % 0.38/0.62 (step @p358 :rule not_and :premises (@p357)) % 0.38/0.62 (step @p359 :rule chain_m_resolution :premises (@p358 @p50 @p44 @p38) :args (@t178 (@list false false true) (@list @t182 @t181 @t145))) % 0.38/0.62 (step @p360 :rule cnf_implies_neg1 :args (@t182)) % 0.38/0.62 (step @p361 :rule reordering :premises (@p360) :args ((or @t179 @t182))) % 0.38/0.62 (step @p362 :rule chain_m_resolution :premises (@p361 @p359) :args (@t182 @t267 @t268)) % 0.38/0.62 (step @p363 :rule equiv_elim1 :premises (@p37)) % 0.38/0.62 (step @p364 :rule chain_m_resolution :premises (@p363 @p359) :args (@t145 @t267 @t268)) % 0.38/0.62 (step @p365 :rule cnf_implies_neg1 :args (@t181)) % 0.38/0.62 (step @p366 :rule reordering :premises (@p365) :args ((or @t180 @t181))) % 0.38/0.62 (step @p367 :rule chain_m_resolution :premises (@p366 @p364) :args (@t181 @t267 (@list @t145))) % 0.38/0.62 (step @p368 false :rule chain_m_resolution :premises (@p358 @p367 @p362) :args (false (@list false false) (@list @t181 @t182))) % 0.38/0.62 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------