%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV569+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:56:08 AM UTC 2026 % Result : Theorem 65.92s 66.20s % Output : Proof 64.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV569+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.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 18:40:32 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 65.92/66.20 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 65.92/66.20 --- Run --no-e-matching --full-saturate-quant at 6... % 65.92/66.20 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 65.92/66.20 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 65.92/66.20 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 65.92/66.20 --- Run --trigger-sel=max --full-saturate-quant at 15... % 65.92/66.20 % SZS status Theorem % 65.92/66.20 % SZS output start Proof % 65.92/66.20 ( % 65.92/66.20 (declare-sort $$unsorted 0) % 65.92/66.20 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 65.92/66.20 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 65.92/66.20 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 65.92/66.20 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 65.92/66.20 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 65.92/66.20 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 65.92/66.20 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 65.92/66.20 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 65.92/66.20 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 65.92/66.20 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 65.92/66.20 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 65.92/66.20 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 65.92/66.20 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 65.92/66.20 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 65.92/66.20 (declare-const tptp.e $$unsorted) % 65.92/66.20 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 65.92/66.20 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 65.92/66.20 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 65.92/66.20 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 65.92/66.20 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 65.92/66.20 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 65.92/66.20 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 65.92/66.20 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 65.92/66.20 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 65.92/66.20 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 65.92/66.20 (define @t1 () (@var "Y" $$unsorted)) % 65.92/66.20 (define @t2 () (@var "Z" $$unsorted)) % 65.92/66.20 (define @t3 () (tptp.mem @t2 @t1)) % 65.92/66.20 (define @t4 () (@var "X" $$unsorted)) % 65.92/66.20 (define @t5 () (tptp.mem @t2 @t4)) % 65.92/66.20 (define @t6 () (@list @t2)) % 65.92/66.20 (define @t7 () (forall @t6 (=> @t5 @t3))) % 65.92/66.20 (define @t8 () (tptp.subq @t4 @t1)) % 65.92/66.20 (define @t9 () (= @t8 @t7)) % 65.92/66.20 (define @t10 () (@list @t4 @t1)) % 65.92/66.20 (define @t11 () (forall @t10 @t9)) % 65.92/66.20 (define @t12 () (= @t4 @t1)) % 65.92/66.20 (define @t13 () (tptp.subq @t1 @t4)) % 65.92/66.20 (define @t14 () (@list @t4)) % 65.92/66.20 (define @t15 () (tptp.s @t1)) % 65.92/66.20 (define @t16 () (tptp.mem @t4 @t15)) % 65.92/66.20 (define @t17 () (forall @t10 (= @t16 @t12))) % 65.92/66.20 (define @t18 () (tptp.mem @t4 @t2)) % 65.92/66.20 (define @t19 () (tptp.mem @t4 @t1)) % 65.92/66.20 (define @t20 () (@list @t4 @t1 @t2)) % 65.92/66.20 (define @t21 () (tptp.p @t1)) % 65.92/66.20 (define @t22 () (@list @t1)) % 65.92/66.20 (define @t23 () (not @t8)) % 65.92/66.20 (define @t24 () (tptp.n tptp.e)) % 65.92/66.20 (define @t25 () (tptp.n @t24)) % 65.92/66.20 (define @t26 () (tptp.n @t25)) % 65.92/66.20 (define @t27 () (tptp.s @t24)) % 65.92/66.20 (define @t28 () (tptp.n @t27)) % 65.92/66.20 (define @t29 () (tptp.s @t28)) % 65.92/66.20 (define @t30 () (tptp.a @t29 @t26)) % 65.92/66.20 (define @t31 () (tptp.s @t25)) % 65.92/66.20 (define @t32 () (tptp.u @t31 @t30)) % 65.92/66.20 (define @t33 () (tptp.a @t24 @t25)) % 65.92/66.20 (define @t34 () (tptp.u @t24 @t28)) % 65.92/66.20 (define @t35 () (tptp.s @t34)) % 65.92/66.20 (define @t36 () (tptp.a @t35 @t33)) % 65.92/66.20 (define @t37 () (tptp.u @t36 @t32)) % 65.92/66.20 (define @t38 () (tptp.a @t27 @t25)) % 64.81/66.20 (define @t39 () (tptp.u @t38 @t30)) % 64.81/66.20 (define @t40 () (tptp.u @t36 @t39)) % 64.81/66.20 (define @t41 () (tptp.subq @t40 @t37)) % 64.81/66.20 (define @t42 () (not @t41)) % 64.81/66.20 (define @t43 () (@list @t24)) % 64.81/66.20 (define @t44 () (@list @t24 @t24)) % 64.81/66.20 (define @t45 () (tptp.mem @t24 @t27)) % 64.81/66.20 (define @t46 () (= (= @t24 @t24) @t45)) % 64.81/66.20 (define @t47 () (forall @t10 (= @t12 @t16))) % 64.81/66.20 (define @t48 () (@list false)) % 64.81/66.20 (define @t49 () (@list @t47)) % 64.81/66.20 (define @t50 () (tptp.mem @t24 @t24)) % 64.81/66.20 (define @t51 () (or @t50 @t45)) % 64.81/66.20 (define @t52 () (not @t45)) % 64.81/66.20 (define @t53 () (@list @t45)) % 64.81/66.20 (define @t54 () (tptp.u @t24 @t27)) % 64.81/66.20 (define @t55 () (tptp.mem @t24 @t54)) % 64.81/66.20 (define @t56 () (= @t55 @t51)) % 64.81/66.20 (define @t57 () (@list false false)) % 64.81/66.20 (define @t58 () (tptp.s tptp.e)) % 64.81/66.20 (define @t59 () (tptp.mem @t25 @t58)) % 64.81/66.20 (define @t60 () (= tptp.e @t25)) % 64.81/66.20 (define @t61 () (= @t25 tptp.e)) % 64.81/66.20 (define @t62 () (= @t61 @t59)) % 64.81/66.20 (define @t63 () (= @t60 @t59)) % 64.81/66.20 (define @t64 () (tptp.mem @t25 @t31)) % 64.81/66.20 (define @t65 () (= (= @t25 @t25) @t64)) % 64.81/66.20 (define @t66 () (@list @t25 @t25)) % 64.81/66.20 (define @t67 () (tptp.mem @t25 @t24)) % 64.81/66.20 (define @t68 () (or @t67 @t64)) % 64.81/66.20 (define @t69 () (tptp.u @t24 @t31)) % 64.81/66.20 (define @t70 () (tptp.mem @t25 @t69)) % 64.81/66.20 (define @t71 () (= @t70 @t68)) % 64.81/66.20 (define @t72 () (= @t24 @t33)) % 64.81/66.20 (define @t73 () (tptp.s @t33)) % 64.81/66.20 (define @t74 () (tptp.mem @t24 @t73)) % 64.81/66.20 (define @t75 () (= @t72 @t74)) % 64.81/66.20 (define @t76 () (= @t74 @t72)) % 64.81/66.20 (define @t77 () (forall @t6 (or (not (tptp.mem @t2 @t40)) (tptp.mem @t2 @t37)))) % 64.81/66.20 (define @t78 () (= @t41 @t77)) % 64.81/66.20 (define @t79 () (tptp.mem @t24 @t31)) % 64.81/66.20 (define @t80 () (or @t45 @t79)) % 64.81/66.20 (define @t81 () (tptp.mem @t24 (tptp.u @t27 @t31))) % 64.81/66.20 (define @t82 () (= @t81 @t80)) % 64.81/66.20 (define @t83 () (tptp.mem @t24 @t38)) % 64.81/66.20 (define @t84 () (tptp.mem @t24 @t30)) % 64.81/66.20 (define @t85 () (or @t83 @t84)) % 64.81/66.20 (define @t86 () (tptp.mem @t24 @t39)) % 64.81/66.20 (define @t87 () (= @t86 @t85)) % 64.81/66.20 (define @t88 () (tptp.mem @t24 @t36)) % 64.81/66.20 (define @t89 () (or @t88 @t86)) % 64.81/66.20 (define @t90 () (tptp.mem @t24 @t40)) % 64.81/66.20 (define @t91 () (= @t90 @t89)) % 64.81/66.20 (define @t92 () (tptp.mem @t24 @t37)) % 64.81/66.20 (define @t93 () (not @t90)) % 64.81/66.20 (define @t94 () (or @t93 @t92)) % 64.81/66.20 (define @t95 () (tptp.mem @t24 @t32)) % 64.81/66.20 (define @t96 () (or @t88 @t95)) % 64.81/66.20 (define @t97 () (= @t92 @t96)) % 64.81/66.20 (define @t98 () (tptp.mem @t24 @t58)) % 64.81/66.20 (define @t99 () (= (= @t24 tptp.e) @t98)) % 64.81/66.20 (define @t100 () (= tptp.e @t24)) % 64.81/66.20 (define @t101 () (= @t100 @t98)) % 64.81/66.20 (define @t102 () (not @t101)) % 64.81/66.20 (define @t103 () (not @t100)) % 64.81/66.20 (define @t104 () (tptp.mem @t24 tptp.e)) % 64.81/66.20 (define @t105 () (or @t104 @t98)) % 64.81/66.20 (define @t106 () (not @t98)) % 64.81/66.20 (define @t107 () (tptp.u tptp.e @t58)) % 64.81/66.20 (define @t108 () (tptp.mem @t24 @t107)) % 64.81/66.20 (define @t109 () (= @t108 @t105)) % 64.81/66.20 (define @t110 () (not @t109)) % 64.81/66.20 (define @t111 () (not @t105)) % 64.81/66.20 (define @t112 () (not @t108)) % 64.81/66.20 (define @t113 () (tptp.a tptp.e tptp.e)) % 64.81/66.20 (define @t114 () (= @t113 @t107)) % 64.81/66.20 (define @t115 () (not @t114)) % 64.81/66.20 (define @t116 () (= @t24 @t113)) % 64.81/66.20 (define @t117 () (not @t116)) % 64.81/66.20 (define @t118 () (not @t104)) % 64.81/66.20 (define @t119 () (not @t118)) % 64.81/66.20 (define @t120 () (and @t116 @t114 @t100 @t118)) % 64.81/66.20 (define @t121 () (@list true false)) % 64.81/66.20 (define @t122 () (@list true true)) % 64.81/66.20 (define @t123 () (not @t50)) % 64.81/66.20 (define @t124 () (not @t112)) % 64.81/66.20 (define @t125 () (and @t116 @t114 @t112)) % 64.81/66.20 (define @t126 () (@list @t24 @t25)) % 64.81/66.20 (define @t127 () (= @t24 @t25)) % 64.81/66.20 (define @t128 () (= @t127 @t79)) % 64.81/66.20 (define @t129 () (not @t79)) % 64.81/66.20 (define @t130 () (or @t50 @t79)) % 64.81/66.20 (define @t131 () (tptp.mem @t24 @t69)) % 64.81/66.20 (define @t132 () (= @t131 @t130)) % 64.81/66.20 (define @t133 () (not @t131)) % 64.81/66.20 (define @t134 () (not @t127)) % 64.81/66.20 (define @t135 () (tptp.a @t24 @t24)) % 64.81/66.20 (define @t136 () (= @t25 @t135)) % 64.81/66.20 (define @t137 () (not @t136)) % 64.81/66.20 (define @t138 () (= @t33 @t69)) % 64.81/66.20 (define @t139 () (not @t138)) % 64.81/66.20 (define @t140 () (not @t123)) % 64.81/66.20 (define @t141 () (and @t138 @t136 @t123 @t127)) % 64.81/66.20 (define @t142 () (tptp.s @t26)) % 64.81/66.20 (define @t143 () (= @t24 @t26)) % 64.81/66.20 (define @t144 () (tptp.mem @t24 @t142)) % 64.81/66.20 (define @t145 () (= @t143 @t144)) % 64.81/66.20 (define @t146 () (= @t144 @t143)) % 64.81/66.20 (define @t147 () (tptp.mem @t24 @t25)) % 64.81/66.20 (define @t148 () (or @t147 @t79)) % 64.81/66.20 (define @t149 () (tptp.u @t25 @t31)) % 64.81/66.20 (define @t150 () (tptp.mem @t24 @t149)) % 64.81/66.20 (define @t151 () (= @t150 @t148)) % 64.81/66.20 (define @t152 () (@list @t25)) % 64.81/66.20 (define @t153 () (not @t150)) % 64.81/66.20 (define @t154 () (not @t143)) % 64.81/66.20 (define @t155 () (tptp.a @t25 @t25)) % 64.81/66.20 (define @t156 () (= @t155 @t149)) % 64.81/66.20 (define @t157 () (not @t156)) % 64.81/66.20 (define @t158 () (= @t26 @t155)) % 64.81/66.20 (define @t159 () (not @t158)) % 64.81/66.20 (define @t160 () (= true false)) % 64.81/66.20 (define @t161 () (and @t112 @t114 @t116 @t143 @t158 @t156 @t150)) % 64.81/66.20 (define @t162 () (not @t144)) % 64.81/66.20 (define @t163 () (= @t24 @t28)) % 64.81/66.20 (define @t164 () (tptp.mem @t24 @t29)) % 64.81/66.20 (define @t165 () (= @t163 @t164)) % 64.81/66.20 (define @t166 () (= @t164 @t163)) % 64.81/66.20 (define @t167 () (tptp.s @t27)) % 64.81/66.20 (define @t168 () (or @t45 (tptp.mem @t24 @t167))) % 64.81/66.20 (define @t169 () (tptp.u @t27 @t167)) % 64.81/66.20 (define @t170 () (tptp.mem @t24 @t169)) % 64.81/66.20 (define @t171 () (= @t170 @t168)) % 64.81/66.20 (define @t172 () (not @t170)) % 64.81/66.20 (define @t173 () (not @t163)) % 64.81/66.20 (define @t174 () (tptp.a @t27 @t27)) % 64.81/66.20 (define @t175 () (= @t174 @t169)) % 64.81/66.20 (define @t176 () (not @t175)) % 64.81/66.20 (define @t177 () (= @t28 @t174)) % 64.81/66.20 (define @t178 () (not @t177)) % 64.81/66.20 (define @t179 () (and @t123 @t163 @t177 @t175 @t170)) % 64.81/66.20 (define @t180 () (@list false false true false)) % 64.81/66.20 (define @t181 () (not @t164)) % 64.81/66.20 (define @t182 () (or @t164 @t144)) % 64.81/66.20 (define @t183 () (not @t182)) % 64.81/66.20 (define @t184 () (tptp.u @t29 @t142)) % 64.81/66.20 (define @t185 () (tptp.mem @t24 @t184)) % 64.81/66.20 (define @t186 () (= @t185 @t182)) % 64.81/66.20 (define @t187 () (not @t185)) % 64.81/66.20 (define @t188 () (not @t84)) % 64.81/66.20 (define @t189 () (= @t30 @t184)) % 64.81/66.20 (define @t190 () (not @t189)) % 64.81/66.20 (define @t191 () (and @t189 @t187)) % 64.81/66.20 (define @t192 () (or @t79 @t84)) % 64.81/66.20 (define @t193 () (not @t192)) % 64.81/66.20 (define @t194 () (= @t95 @t192)) % 64.81/66.20 (define @t195 () (not @t95)) % 64.81/66.20 (define @t196 () (not @t88)) % 64.81/66.20 (define @t197 () (tptp.u @t35 @t73)) % 64.81/66.20 (define @t198 () (tptp.mem @t24 @t197)) % 64.81/66.20 (define @t199 () (= @t36 @t197)) % 64.81/66.20 (define @t200 () (not @t199)) % 64.81/66.20 (define @t201 () (not @t198)) % 64.81/66.20 (define @t202 () (and @t199 @t201)) % 64.81/66.20 (define @t203 () (tptp.mem @t24 @t35)) % 64.81/66.20 (define @t204 () (or @t203 @t74)) % 64.81/66.20 (define @t205 () (= @t198 @t204)) % 64.81/66.20 (define @t206 () (= @t24 @t34)) % 64.81/66.20 (define @t207 () (= @t206 @t203)) % 64.81/66.20 (define @t208 () (= @t203 @t206)) % 64.81/66.20 (define @t209 () (tptp.mem @t24 @t28)) % 64.81/66.20 (define @t210 () (or @t50 @t209)) % 64.81/66.20 (define @t211 () (tptp.mem @t24 @t34)) % 64.81/66.20 (define @t212 () (= @t211 @t210)) % 64.81/66.20 (define @t213 () (not @t206)) % 64.81/66.20 (define @t214 () (not @t211)) % 64.81/66.20 (define @t215 () (and @t112 @t114 @t116 @t206 @t211)) % 64.81/66.20 (define @t216 () (not @t203)) % 64.81/66.20 (define @t217 () (not @t70)) % 64.81/66.20 (define @t218 () (not @t72)) % 64.81/66.20 (define @t219 () (not @t67)) % 64.81/66.20 (define @t220 () (and @t219 @t72 @t138 @t70)) % 64.81/66.20 (define @t221 () (@list false false false)) % 64.81/66.20 (define @t222 () (tptp.mem @t25 @t107)) % 64.81/66.20 (define @t223 () (not @t222)) % 64.81/66.20 (define @t224 () (and @t116 @t114 @t223)) % 64.81/66.20 (define @t225 () (tptp.mem @t25 tptp.e)) % 64.81/66.20 (define @t226 () (or @t225 @t59)) % 64.81/66.20 (define @t227 () (= @t222 @t226)) % 64.81/66.20 (define @t228 () (not @t55)) % 64.81/66.20 (define @t229 () (not @t60)) % 64.81/66.20 (define @t230 () (= @t135 @t54)) % 64.81/66.20 (define @t231 () (not @t230)) % 64.81/66.20 (define @t232 () (and @t55 @t230 @t136 @t60 @t118)) % 64.81/66.20 (assume @p1 @t11) % 64.81/66.20 (assume @p2 (forall @t10 (=> @t8 (=> @t13 @t12)))) % 64.81/66.20 (assume @p3 (forall @t10 (= (tptp.disj @t4 @t1) (not (exists @t6 (and @t5 @t3)))))) % 64.81/66.20 (assume @p4 (forall @t14 (not (tptp.mem @t4 tptp.e)))) % 64.81/66.20 (assume @p5 @t17) % 64.81/66.20 (assume @p6 (forall @t20 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t19 @t18)))) % 64.81/66.20 (assume @p7 (forall @t20 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t19 (not @t18))))) % 64.81/66.20 (assume @p8 (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t15)))) % 64.81/66.20 (assume @p9 (forall @t14 (= (tptp.n @t4) (tptp.a @t4 @t4)))) % 64.81/66.20 (assume @p10 (forall @t10 (= (tptp.mem @t4 @t21) @t8))) % 64.81/66.20 (assume @p11 (forall @t14 (= (tptp.atleast2p @t4) (exists @t22 (and (tptp.mem @t1 @t4) (not (tptp.subq @t4 @t21))))))) % 64.81/66.20 (assume @p12 (forall @t14 (= (tptp.atleast3p @t4) (exists @t22 (and @t13 (tptp.atleast2p @t1) @t23))))) % 64.81/66.20 (assume @p13 (forall @t14 (= (tptp.atleast4p @t4) (exists @t22 (and @t13 (tptp.atleast3p @t1) @t23))))) % 64.81/66.20 (assume @p14 (forall @t14 (= (tptp.atleast5p @t4) (exists @t22 (and @t13 (tptp.atleast4p @t1) @t23))))) % 64.81/66.20 (assume @p15 (forall @t14 (= (tptp.atleast6p @t4) (exists @t22 (and @t13 (tptp.atleast5p @t1) @t23))))) % 64.81/66.20 (assume @p16 (forall @t14 (= (tptp.atleast7p @t4) (exists @t22 (and @t13 (tptp.atleast6p @t1) @t23))))) % 64.81/66.20 (assume @p17 (forall @t14 (= (tptp.atleast8p @t4) (exists @t22 (and @t13 (tptp.atleast7p @t1) @t23))))) % 64.81/66.20 (assume @p18 (forall @t14 (= (tptp.atleast9p @t4) (exists @t22 (and @t13 (tptp.atleast8p @t1) @t23))))) % 64.81/66.20 (assume @p19 (forall @t14 (= (tptp.atleast10p @t4) (exists @t22 (and @t13 (tptp.atleast9p @t1) @t23))))) % 64.81/66.20 (assume @p20 (forall @t14 (= (tptp.atleast11p @t4) (exists @t22 (and @t13 (tptp.atleast10p @t1) @t23))))) % 64.81/66.20 (assume @p21 (forall @t14 (= (tptp.atleast12p @t4) (exists @t22 (and @t13 (tptp.atleast11p @t1) @t23))))) % 64.81/66.20 (assume @p22 (forall @t14 (= (tptp.atleast13p @t4) (exists @t22 (and @t13 (tptp.atleast12p @t1) @t23))))) % 64.81/66.20 (assume @p23 (forall @t14 (= (tptp.atleast14p @t4) (exists @t22 (and @t13 (tptp.atleast13p @t1) @t23))))) % 64.81/66.20 (assume @p24 (forall @t14 (= (tptp.atleast15p @t4) (exists @t22 (and @t13 (tptp.atleast14p @t1) @t23))))) % 64.81/66.20 (assume @p25 (forall @t14 (= (tptp.atleast16p @t4) (exists @t22 (and @t13 (tptp.atleast15p @t1) @t23))))) % 64.81/66.20 (assume @p26 (not @t42)) % 64.81/66.20 (assume @p27 true) % 64.81/66.20 (step @p28 :rule instantiate :premises (@p9) :args (@t43)) % 64.81/66.20 (step @p29 :rule instantiate :premises (@p8) :args (@t44)) % 64.81/66.20 (step @p30 :rule instantiate :premises (@p4) :args (@t43)) % 64.81/66.20 (step @p31 :rule instantiate :premises (@p6) :args ((@list @t24 @t24 @t27))) % 64.81/66.20 (step @p32 :rule eq-symm :args (@t16 @t12)) % 64.81/66.20 (step @p33 :rule cong :premises (@p32) :args (@t17)) % 64.81/66.20 (step @p34 :rule eq_resolve :premises (@p5 @p33)) % 64.81/66.20 (step @p35 :rule bool-eq-true :args (@t45)) % 64.81/66.20 (step @p36 :rule eq-symm :args (true @t45)) % 64.81/66.20 (step @p37 :rule trans :premises (@p36 @p35)) % 64.81/66.20 (step @p38 :rule refl :args (@t45)) % 64.81/66.20 (step @p39 :rule eq-refl :args (@t24)) % 64.81/66.20 (step @p40 :rule cong :premises (@p39 @p38) :args (@t46)) % 64.81/66.20 (step @p41 :rule trans :premises (@p40 @p37)) % 64.81/66.20 (step @p42 :rule refl :args (@t47)) % 64.81/66.20 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t47 @t46))) % 64.81/66.20 (assume-push @p692 @t47) % 64.81/66.20 (step @p45 :rule instantiate :premises (@p34) :args (@t44)) % 64.81/66.20 (step-pop @p693 :rule scope :premises (@p45)) % 64.81/66.20 (step @p46 :rule process_scope :premises (@p693) :args (@t46)) % 64.81/66.20 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 64.81/66.20 (step @p49 :rule implies_elim :premises (@p48)) % 64.81/66.20 (step @p50 :rule chain_m_resolution :premises (@p49 @p34) :args (@t45 @t48 @t49)) % 64.81/66.20 (step @p51 :rule cnf_or_neg :args (@t51 1)) % 64.81/66.20 (step @p52 :rule reordering :premises (@p51) :args ((or @t52 @t51))) % 64.81/66.20 (step @p53 :rule chain_m_resolution :premises (@p52 @p50) :args (@t51 @t48 @t53)) % 64.81/66.20 (step @p54 :rule cnf_equiv_pos2 :args (@t56)) % 64.81/66.20 (step @p55 :rule reordering :premises (@p54) :args ((or @t55 (not @t51) (not @t56)))) % 64.81/66.20 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p31) :args (@t55 @t57 (@list @t51 @t56))) % 64.81/66.20 (step @p57 :rule eq-symm :args (@t59 @t60)) % 64.81/66.20 (step @p58 :rule eq-symm :args (@t25 tptp.e)) % 64.81/66.20 (step @p59 :rule refl :args (@t59)) % 64.81/66.20 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t59 @t61))) % 64.81/66.20 (step @p61 :rule trans :premises (@p60 @p57)) % 64.81/66.20 (step @p62 :rule eq-symm :args (@t61 @t59)) % 64.81/66.20 (step @p63 :rule trans :premises (@p62 @p61)) % 64.81/66.20 (step @p64 :rule cong :premises (@p42 @p63) :args ((=> @t47 @t62))) % 64.81/66.20 (assume-push @p694 @t47) % 64.81/66.20 (step @p66 :rule instantiate :premises (@p34) :args ((@list @t25 tptp.e))) % 64.81/66.20 (step-pop @p695 :rule scope :premises (@p66)) % 64.81/66.20 (step @p67 :rule process_scope :premises (@p695) :args (@t62)) % 64.81/66.20 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 64.81/66.20 (step @p70 :rule implies_elim :premises (@p69)) % 64.81/66.20 (step @p71 :rule chain_m_resolution :premises (@p70 @p34) :args (@t63 @t48 @t49)) % 64.81/66.20 (step @p72 :rule instantiate :premises (@p6) :args ((@list @t25 tptp.e @t58))) % 64.81/66.20 (step @p73 :rule instantiate :premises (@p6) :args ((@list @t25 @t24 @t31))) % 64.81/66.20 (step @p74 :rule bool-eq-true :args (@t64)) % 64.81/66.20 (step @p75 :rule eq-symm :args (true @t64)) % 64.81/66.20 (step @p76 :rule trans :premises (@p75 @p74)) % 64.81/66.20 (step @p77 :rule refl :args (@t64)) % 64.81/66.20 (step @p78 :rule eq-refl :args (@t25)) % 64.81/66.20 (step @p79 :rule cong :premises (@p78 @p77) :args (@t65)) % 64.81/66.20 (step @p80 :rule trans :premises (@p79 @p76)) % 64.81/66.20 (step @p81 :rule cong :premises (@p42 @p80) :args ((=> @t47 @t65))) % 64.81/66.20 (assume-push @p696 @t47) % 64.81/66.20 (step @p83 :rule instantiate :premises (@p34) :args (@t66)) % 64.81/66.20 (step-pop @p697 :rule scope :premises (@p83)) % 64.81/66.20 (step @p84 :rule process_scope :premises (@p697) :args (@t65)) % 64.81/66.20 (step @p86 :rule eq_resolve :premises (@p84 @p81)) % 64.81/66.20 (step @p87 :rule implies_elim :premises (@p86)) % 64.81/66.20 (step @p88 :rule chain_m_resolution :premises (@p87 @p34) :args (@t64 @t48 @t49)) % 64.81/66.20 (step @p89 :rule cnf_or_neg :args (@t68 1)) % 64.81/66.20 (step @p90 :rule chain_m_resolution :premises (@p89 @p88) :args (@t68 @t48 (@list @t64))) % 64.81/66.20 (step @p91 :rule cnf_equiv_pos2 :args (@t71)) % 64.81/66.20 (step @p92 :rule reordering :premises (@p91) :args ((or @t70 (not @t68) (not @t71)))) % 64.81/66.20 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p73) :args (@t70 @t57 (@list @t68 @t71))) % 64.81/66.20 (step @p94 :rule eq-symm :args (@t72 @t74)) % 64.81/66.20 (step @p95 :rule cong :premises (@p42 @p94) :args ((=> @t47 @t75))) % 64.81/66.20 (assume-push @p698 @t47) % 64.81/66.20 (step @p97 :rule instantiate :premises (@p34) :args ((@list @t24 @t33))) % 64.81/66.20 (step-pop @p699 :rule scope :premises (@p97)) % 64.81/66.20 (step @p98 :rule process_scope :premises (@p699) :args (@t75)) % 64.81/66.20 (step @p100 :rule eq_resolve :premises (@p98 @p95)) % 64.81/66.20 (step @p101 :rule implies_elim :premises (@p100)) % 64.81/66.20 (step @p102 :rule chain_m_resolution :premises (@p101 @p34) :args (@t76 @t48 @t49)) % 64.81/66.20 (step @p103 :rule instantiate :premises (@p6) :args ((@list @t24 @t35 @t73))) % 64.81/66.20 (step @p104 :rule instantiate :premises (@p6) :args ((@list @t24 @t36 @t32))) % 64.81/66.20 (step @p105 :rule bool-impl-elim :args (@t5 @t3)) % 64.81/66.20 (step @p106 :rule cong :premises (@p105) :args (@t7)) % 64.81/66.20 (step @p107 :rule refl :args (@t8)) % 64.81/66.20 (step @p108 :rule cong :premises (@p107 @p106) :args (@t9)) % 64.81/66.20 (step @p109 :rule cong :premises (@p108) :args (@t11)) % 64.81/66.20 (step @p110 :rule eq_resolve :premises (@p1 @p109)) % 64.81/66.20 (step @p111 :rule instantiate :premises (@p110) :args ((@list @t40 @t37))) % 64.81/66.20 (step @p112 :rule bool-double-not-elim :args (@t41)) % 64.81/66.20 (step @p113 :rule eq_resolve :premises (@p26 @p112)) % 64.81/66.20 (step @p114 :rule cnf_equiv_pos1 :args (@t78)) % 64.81/66.20 (step @p115 :rule reordering :premises (@p114) :args ((or @t42 @t77 (not @t78)))) % 64.81/66.20 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p111) :args (@t77 @t57 (@list @t41 @t78))) % 64.81/66.20 (step @p117 :rule instantiate :premises (@p116) :args (@t43)) % 64.81/66.20 (step @p118 :rule instantiate :premises (@p6) :args ((@list @t24 @t36 @t39))) % 64.81/66.20 (step @p119 :rule instantiate :premises (@p6) :args ((@list @t24 @t38 @t30))) % 64.81/66.20 (step @p120 :rule instantiate :premises (@p6) :args ((@list @t24 @t27 @t31))) % 64.81/66.20 (step @p121 :rule cnf_or_neg :args (@t80 0)) % 64.81/66.20 (step @p122 :rule chain_m_resolution :premises (@p121 @p50) :args (@t80 @t48 @t53)) % 64.81/66.20 (step @p123 :rule cnf_equiv_pos2 :args (@t82)) % 64.81/66.20 (step @p124 :rule reordering :premises (@p123) :args ((or @t81 (not @t80) (not @t82)))) % 64.81/66.20 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p120) :args (@t81 @t57 (@list @t80 @t82))) % 64.81/66.20 (step @p126 :rule true_intro :premises (@p125)) % 64.81/66.20 (step @p127 :rule instantiate :premises (@p8) :args ((@list @t27 @t25))) % 64.81/66.20 (step @p128 :rule refl :args (@t24)) % 64.81/66.20 (step @p129 :rule cong :premises (@p128 @p127) :args (@t83)) % 64.81/66.20 (step @p130 :rule trans :premises (@p129 @p126)) % 64.81/66.20 (step @p131 :rule true_elim :premises (@p130)) % 64.81/66.20 (step @p132 :rule cnf_or_neg :args (@t85 0)) % 64.81/66.20 (step @p133 :rule chain_m_resolution :premises (@p132 @p131) :args (@t85 @t48 (@list @t83))) % 64.81/66.20 (step @p134 :rule cnf_equiv_pos2 :args (@t87)) % 64.81/66.20 (step @p135 :rule reordering :premises (@p134) :args ((or @t86 (not @t85) (not @t87)))) % 64.81/66.20 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p119) :args (@t86 @t57 (@list @t85 @t87))) % 64.81/66.20 (step @p137 :rule cnf_or_neg :args (@t89 1)) % 64.81/66.20 (step @p138 :rule chain_m_resolution :premises (@p137 @p136) :args (@t89 @t48 (@list @t86))) % 64.81/66.20 (step @p139 :rule cnf_equiv_pos2 :args (@t91)) % 64.81/66.20 (step @p140 :rule reordering :premises (@p139) :args ((or @t90 (not @t89) (not @t91)))) % 64.81/66.20 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p118) :args (@t90 @t57 (@list @t89 @t91))) % 64.81/66.20 (step @p142 :rule cnf_or_pos :args (@t94)) % 64.81/66.20 (step @p143 :rule reordering :premises (@p142) :args ((or @t93 @t92 (not @t94)))) % 64.81/66.20 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p117) :args (@t92 @t57 (@list @t90 @t94))) % 64.81/66.20 (step @p145 :rule cnf_equiv_pos1 :args (@t97)) % 64.81/66.20 (step @p146 :rule reordering :premises (@p145) :args ((or (not @t92) @t96 (not @t97)))) % 64.81/66.20 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p104) :args (@t96 @t57 (@list @t92 @t97))) % 64.81/66.20 (step @p148 :rule instantiate :premises (@p6) :args ((@list @t24 @t31 @t30))) % 64.81/66.20 (step @p149 :rule instantiate :premises (@p9) :args ((@list tptp.e))) % 64.81/66.20 (step @p150 :rule instantiate :premises (@p8) :args ((@list tptp.e tptp.e))) % 64.81/66.20 (step @p151 :rule instantiate :premises (@p6) :args ((@list @t24 tptp.e @t58))) % 64.81/66.20 (step @p152 :rule refl :args (@t98)) % 64.81/66.20 (step @p153 :rule eq-symm :args (@t24 tptp.e)) % 64.81/66.20 (step @p154 :rule cong :premises (@p153 @p152) :args (@t99)) % 64.81/66.20 (step @p155 :rule cong :premises (@p42 @p154) :args ((=> @t47 @t99))) % 64.81/66.20 (assume-push @p700 @t47) % 64.81/66.20 (step @p157 :rule instantiate :premises (@p34) :args ((@list @t24 tptp.e))) % 64.81/66.20 (step-pop @p701 :rule scope :premises (@p157)) % 64.81/66.20 (step @p158 :rule process_scope :premises (@p701) :args (@t99)) % 64.81/66.20 (step @p160 :rule eq_resolve :premises (@p158 @p155)) % 64.81/66.20 (step @p161 :rule implies_elim :premises (@p160)) % 64.81/66.20 (step @p162 :rule chain_m_resolution :premises (@p161 @p34) :args (@t101 @t48 @t49)) % 64.81/66.20 (step @p163 :rule cnf_equiv_pos1 :args (@t101)) % 64.81/66.20 (step @p164 :rule reordering :premises (@p163) :args ((or @t103 @t98 @t102))) % 64.81/66.20 (step @p165 :rule cnf_or_neg :args (@t105 1)) % 64.81/66.20 (step @p166 :rule reordering :premises (@p165) :args ((or @t106 @t105))) % 64.81/66.20 (step @p167 :rule cnf_equiv_pos2 :args (@t109)) % 64.81/66.20 (step @p168 :rule reordering :premises (@p167) :args ((or @t108 @t111 @t110))) % 64.81/66.20 (step @p169 :rule refl :args (@t112)) % 64.81/66.20 (step @p170 :rule bool-double-not-elim :args (@t104)) % 64.81/66.20 (step @p171 :rule refl :args (@t103)) % 64.81/66.20 (step @p172 :rule refl :args (@t115)) % 64.81/66.20 (step @p173 :rule refl :args (@t117)) % 64.81/66.20 (step @p174 :rule nary_cong :premises (@p173 @p172 @p171 @p170 @p169) :args ((or @t117 @t115 @t103 @t119 @t112))) % 64.81/66.20 (assume-push @p702 @t116) % 64.81/66.20 (assume-push @p703 @t114) % 64.81/66.20 (assume-push @p704 @t100) % 64.81/66.20 (assume-push @p705 @t118) % 64.81/66.20 (assume-push @p706 @t118) % 64.81/66.20 (assume-push @p707 @t100) % 64.81/66.20 (assume-push @p708 @t116) % 64.81/66.20 (assume-push @p709 @t114) % 64.81/66.20 (step @p183 :rule false_intro :premises (@p30)) % 64.81/66.20 (step @p184 :rule symm :premises (@p704)) % 64.81/66.20 (step @p185 :rule cong :premises (@p128 @p184) :args (@t50)) % 64.81/66.20 (step @p186 :rule symm :premises (@p149)) % 64.81/66.20 (step @p187 :rule symm :premises (@p150)) % 64.81/66.20 (step @p188 :rule trans :premises (@p187 @p186)) % 64.81/66.20 (step @p189 :rule cong :premises (@p128 @p188) :args (@t108)) % 64.81/66.20 (step @p190 :rule trans :premises (@p189 @p185 @p183)) % 64.81/66.20 (step @p191 :rule false_elim :premises (@p190)) % 64.81/66.20 (step-pop @p710 :rule scope :premises (@p191)) % 64.81/66.20 (step-pop @p711 :rule scope :premises (@p710)) % 64.81/66.20 (step-pop @p712 :rule scope :premises (@p711)) % 64.81/66.20 (step-pop @p713 :rule scope :premises (@p712)) % 64.81/66.20 (step @p192 :rule process_scope :premises (@p713) :args (@t112)) % 64.81/66.20 (step @p197 :rule and_intro :premises (@p30 @p704 @p149 @p150)) % 64.81/66.20 (step @p198 :rule modus_ponens :premises (@p197 @p192)) % 64.81/66.20 (step-pop @p714 :rule scope :premises (@p198)) % 64.81/66.20 (step-pop @p715 :rule scope :premises (@p714)) % 64.81/66.20 (step-pop @p716 :rule scope :premises (@p715)) % 64.81/66.20 (step-pop @p717 :rule scope :premises (@p716)) % 64.81/66.20 (step @p199 :rule process_scope :premises (@p717) :args (@t112)) % 64.81/66.20 (step @p204 :rule implies_elim :premises (@p199)) % 64.81/66.20 (step @p205 :rule cnf_and_neg :args (@t120)) % 64.81/66.20 (step @p206 :rule resolution :premises (@p205 @p204) :args (true @t120)) % 64.81/66.20 (step @p207 :rule eq_resolve :premises (@p206 @p174)) % 64.81/66.20 (step @p208 :rule chain_m_resolution :premises (@p207 @p30 @p150 @p149 @p168 @p151 @p166 @p164 @p162) :args (@t103 (@list true false false false false false false false) (@list @t104 @t114 @t116 @t108 @t109 @t105 @t98 @t101))) % 64.81/66.20 (step @p209 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(@p477 @p475 @p148) :args (@t195 @t121 (@list @t192 @t194))) % 64.81/66.20 (step @p479 :rule cnf_or_pos :args (@t96)) % 64.81/66.20 (step @p480 :rule reordering :premises (@p479) :args ((or @t88 @t95 (not @t96)))) % 64.81/66.20 (step @p481 :rule chain_m_resolution :premises (@p480 @p478 @p147) :args (@t88 @t121 (@list @t95 @t96))) % 64.81/66.20 (step @p482 :rule instantiate :premises (@p8) :args ((@list @t35 @t33))) % 64.81/66.20 (step @p483 :rule refl :args (@t196)) % 64.81/66.20 (step @p484 :rule bool-double-not-elim :args (@t198)) % 64.81/66.20 (step @p485 :rule refl :args (@t200)) % 64.81/66.20 (step @p486 :rule nary_cong :premises (@p485 @p484 @p483) :args ((or @t200 (not @t201) @t196))) % 64.81/66.20 (assume-push @p806 @t199) % 64.81/66.20 (assume-push @p807 @t201) % 64.81/66.20 (assume-push @p808 @t201) % 64.81/66.20 (assume-push @p809 @t199) % 64.81/66.20 (step @p491 :rule false_intro :premises (@p807)) % 64.81/66.20 (step @p492 :rule cong :premises (@p128 @p482) :args (@t88)) % 64.81/66.20 (step @p493 :rule trans :premises (@p492 @p491)) % 64.81/66.20 (step @p494 :rule false_elim :premises (@p493)) % 64.81/66.20 (step-pop @p810 :rule scope :premises (@p494)) % 64.81/66.20 (step-pop @p811 :rule scope :premises (@p810)) % 64.81/66.20 (step @p495 :rule process_scope :premises (@p811) :args (@t196)) % 64.81/66.20 (step @p498 :rule and_intro :premises (@p807 @p482)) % 64.81/66.20 (step @p499 :rule modus_ponens :premises (@p498 @p495)) % 64.81/66.20 (step-pop @p812 :rule scope :premises (@p499)) % 64.81/66.20 (step-pop @p813 :rule scope :premises (@p812)) % 64.81/66.20 (step @p500 :rule process_scope :premises (@p813) :args (@t196)) % 64.81/66.20 (step @p503 :rule implies_elim :premises (@p500)) % 64.81/66.20 (step @p504 :rule cnf_and_neg :args (@t202)) % 64.81/66.20 (step @p505 :rule resolution :premises (@p504 @p503) :args (true @t202)) % 64.81/66.20 (step @p506 :rule eq_resolve :premises (@p505 @p486)) % 64.81/66.20 (step @p507 :rule reordering :premises (@p506) :args ((or @t200 @t196 @t198))) % 64.81/66.20 (step @p508 :rule chain_m_resolution :premises (@p507 @p482 @p481) :args (@t198 @t57 (@list @t199 @t88))) % 64.81/66.20 (step @p509 :rule cnf_equiv_pos1 :args (@t205)) % 64.81/66.20 (step @p510 :rule reordering :premises (@p509) :args ((or @t204 @t201 (not @t205)))) % 64.81/66.20 (step @p511 :rule chain_m_resolution :premises (@p510 @p508 @p103) :args (@t204 @t57 (@list @t198 @t205))) % 64.81/66.20 (step @p512 :rule eq-symm :args (@t206 @t203)) % 64.81/66.20 (step @p513 :rule cong :premises (@p42 @p512) :args ((=> @t47 @t207))) % 64.81/66.20 (assume-push @p814 @t47) % 64.81/66.20 (step @p515 :rule instantiate :premises (@p34) :args ((@list @t24 @t34))) % 64.81/66.20 (step-pop @p815 :rule scope :premises (@p515)) % 64.81/66.20 (step @p516 :rule process_scope :premises (@p815) :args (@t207)) % 64.81/66.20 (step @p518 :rule eq_resolve :premises (@p516 @p513)) % 64.81/66.20 (step @p519 :rule implies_elim :premises (@p518)) % 64.81/66.20 (step @p520 :rule chain_m_resolution :premises (@p519 @p34) :args (@t208 @t48 @t49)) % 64.81/66.20 (step @p521 :rule instantiate :premises (@p6) :args ((@list @t24 @t24 @t28))) % 64.81/66.20 (step @p410 :rule true_intro :premises (@p391)) % 64.81/66.20 (step @p522 :rule trans :premises (@p393 @p392)) % 64.81/66.20 (step @p523 :rule cong :premises (@p128 @p522) :args (@t209)) % 64.81/66.20 (step @p524 :rule trans :premises (@p523 @p410)) % 64.81/66.20 (step @p525 :rule true_elim :premises (@p524)) % 64.81/66.20 (step @p526 :rule cnf_or_neg :args (@t210 1)) % 64.81/66.20 (step @p527 :rule chain_m_resolution :premises (@p526 @p525) :args (@t210 @t48 (@list @t209))) % 64.81/66.20 (step @p528 :rule cnf_equiv_pos2 :args (@t212)) % 64.81/66.20 (step @p529 :rule reordering :premises (@p528) :args ((or @t211 (not @t210) (not @t212)))) % 64.81/66.20 (step @p530 :rule chain_m_resolution :premises (@p529 @p527 @p521) :args (@t211 @t57 (@list @t210 @t212))) % 64.81/66.20 (step @p531 :rule refl :args (@t213)) % 64.81/66.20 (step @p532 :rule refl :args (@t214)) % 64.81/66.20 (step @p533 :rule nary_cong :premises (@p173 @p172 @p219 @p532 @p531) :args ((or @t117 @t115 @t124 @t214 @t213))) % 64.81/66.20 (assume-push @p816 @t112) % 64.81/66.20 (assume-push @p817 @t114) % 64.81/66.20 (assume-push @p818 @t116) % 64.81/66.20 (assume-push @p819 @t206) % 64.81/66.20 (assume-push @p820 @t211) % 64.81/66.20 (step @p333 :rule evaluate :args (@t160)) % 64.81/66.20 (step @p539 :rule false_intro :premises (@p816)) % 64.81/66.20 (step @p228 :rule trans :premises (@p149 @p150)) % 64.81/66.20 (step @p229 :rule cong :premises (@p128 @p228) :args (@t50)) % 64.81/66.20 (step @p540 :rule symm :premises (@p819)) % 64.81/66.20 (step @p541 :rule cong :premises (@p128 @p540) :args (@t211)) % 64.81/66.20 (step @p542 :rule true_intro :premises (@p530)) % 64.81/66.20 (step @p543 :rule symm :premises (@p542)) % 64.81/66.20 (step @p544 :rule trans :premises (@p543 @p541 @p229 @p539)) % 64.81/66.20 (step @p545 false :rule eq_resolve :premises (@p544 @p333)) % 64.81/66.20 (step-pop @p821 :rule scope :premises (@p545)) % 64.81/66.20 (step-pop @p822 :rule scope :premises (@p821)) % 64.81/66.20 (step-pop @p823 :rule scope :premises (@p822)) % 64.81/66.20 (step-pop @p824 :rule scope :premises (@p823)) % 64.81/66.20 (step-pop @p825 :rule scope :premises (@p824)) % 64.81/66.20 (step @p546 :rule process_scope :premises (@p825) :args (false)) % 64.81/66.20 (assume-push @p826 @t116) % 64.81/66.20 (assume-push @p827 @t114) % 64.81/66.20 (assume-push @p828 @t112) % 64.81/66.20 (assume-push @p829 @t211) % 64.81/66.20 (assume-push @p830 @t206) % 64.81/66.20 (step @p557 :rule and_intro :premises (@p828 @p150 @p149 @p830 @p530)) % 64.81/66.20 (step-pop @p831 :rule scope :premises (@p557)) % 64.81/66.20 (step-pop @p832 :rule scope :premises (@p831)) % 64.81/66.20 (step-pop @p833 :rule scope :premises (@p832)) % 64.81/66.20 (step-pop @p834 :rule scope :premises (@p833)) % 64.81/66.20 (step-pop @p835 :rule scope :premises (@p834)) % 64.81/66.20 (step @p558 :rule process_scope :premises (@p835) :args (@t215)) % 64.81/66.20 (step @p564 :rule implies_elim :premises (@p558)) % 64.81/66.20 (step @p565 :rule resolution :premises (@p564 @p546) :args (true @t215)) % 64.81/66.20 (step @p566 :rule not_and :premises (@p565)) % 64.81/66.20 (step @p567 :rule eq_resolve :premises (@p566 @p533)) % 64.81/66.20 (step @p568 :rule chain_m_resolution :premises (@p567 @p149 @p150 @p217 @p530) :args (@t213 @t180 (@list @t116 @t114 @t108 @t211))) % 64.81/66.20 (step @p569 :rule cnf_equiv_pos1 :args (@t208)) % 64.81/66.20 (step @p570 :rule reordering :premises (@p569) :args ((or @t216 @t206 (not @t208)))) % 64.81/66.20 (step @p571 :rule chain_m_resolution :premises (@p570 @p568 @p520) :args (@t216 @t121 (@list @t206 @t208))) % 64.81/66.20 (step @p572 :rule cnf_or_pos :args (@t204)) % 64.81/66.20 (step @p573 :rule reordering :premises (@p572) :args ((or @t203 @t74 (not @t204)))) % 64.81/66.20 (step @p574 :rule chain_m_resolution :premises (@p573 @p571 @p511) :args (@t74 @t121 (@list @t203 @t204))) % 64.81/66.20 (step @p575 :rule cnf_equiv_pos1 :args (@t76)) % 64.81/66.20 (step @p576 :rule reordering :premises (@p575) :args ((or (not @t74) @t72 (not @t76)))) % 64.81/66.20 (step @p577 :rule chain_m_resolution :premises (@p576 @p574 @p102) :args (@t72 @t57 (@list @t74 @t76))) % 64.81/66.20 (step @p578 :rule refl :args (@t217)) % 64.81/66.20 (step @p579 :rule bool-double-not-elim :args (@t67)) % 64.81/66.20 (step @p580 :rule refl :args (@t218)) % 64.81/66.20 (step @p581 :rule nary_cong :premises (@p261 @p580 @p579 @p578) :args ((or @t139 @t218 (not @t219) @t217))) % 64.81/66.20 (assume-push @p836 @t219) % 64.81/66.20 (assume-push @p837 @t72) % 64.81/66.20 (assume-push @p838 @t138) % 64.81/66.20 (assume-push @p839 @t70) % 64.81/66.20 (step @p333 :rule evaluate :args (@t160)) % 64.81/66.20 (step @p586 :rule false_intro :premises (@p836)) % 64.81/66.20 (step @p587 :rule symm :premises (@p837)) % 64.81/66.20 (step @p275 :rule symm :premises (@p256)) % 64.81/66.20 (step @p588 :rule trans :premises (@p275 @p587)) % 64.81/66.20 (step @p589 :rule refl :args (@t25)) % 64.81/66.20 (step @p590 :rule cong :premises (@p589 @p588) :args (@t70)) % 64.81/66.20 (step @p591 :rule true_intro :premises (@p93)) % 64.81/66.20 (step @p592 :rule symm :premises (@p591)) % 64.81/66.20 (step @p593 :rule trans :premises (@p592 @p590 @p586)) % 64.81/66.20 (step @p594 false :rule eq_resolve :premises (@p593 @p333)) % 64.81/66.20 (step-pop @p840 :rule scope :premises (@p594)) % 64.81/66.20 (step-pop @p841 :rule scope :premises (@p840)) % 64.81/66.20 (step-pop @p842 :rule scope :premises (@p841)) % 64.81/66.20 (step-pop @p843 :rule scope :premises (@p842)) % 64.81/66.20 (step @p595 :rule process_scope :premises (@p843) :args (false)) % 64.81/66.20 (assume-push @p844 @t138) % 64.81/66.20 (assume-push @p845 @t72) % 64.81/66.20 (assume-push @p846 @t219) % 64.81/66.20 (assume-push @p847 @t70) % 64.81/66.20 (step @p604 :rule and_intro :premises (@p846 @p845 @p256 @p93)) % 64.81/66.20 (step-pop @p848 :rule scope :premises (@p604)) % 64.81/66.20 (step-pop @p849 :rule scope :premises (@p848)) % 64.81/66.20 (step-pop @p850 :rule scope :premises (@p849)) % 64.81/66.20 (step-pop @p851 :rule scope :premises (@p850)) % 64.81/66.20 (step @p605 :rule process_scope :premises (@p851) :args (@t220)) % 64.81/66.20 (step @p610 :rule implies_elim :premises (@p605)) % 64.81/66.20 (step @p611 :rule resolution :premises (@p610 @p595) :args (true @t220)) % 64.81/66.20 (step @p612 :rule not_and :premises (@p611)) % 64.81/66.20 (step @p613 :rule eq_resolve :premises (@p612 @p581)) % 64.81/66.20 (step @p614 :rule reordering :premises (@p613) :args ((or @t139 @t67 @t218 @t217))) % 64.81/66.20 (step @p615 :rule chain_m_resolution :premises (@p614 @p256 @p577 @p93) :args (@t67 @t221 (@list @t138 @t72 @t70))) % 64.81/66.20 (step @p616 :rule refl :args (@t219)) % 64.81/66.20 (step @p617 :rule bool-double-not-elim :args (@t222)) % 64.81/66.20 (step @p618 :rule nary_cong :premises (@p173 @p172 @p617 @p616) :args ((or @t117 @t115 (not @t223) @t219))) % 64.81/66.20 (assume-push @p852 @t116) % 64.81/66.20 (assume-push @p853 @t114) % 64.81/66.20 (assume-push @p854 @t223) % 64.81/66.20 (assume-push @p855 @t223) % 64.81/66.20 (assume-push @p856 @t114) % 64.81/66.20 (assume-push @p857 @t116) % 64.81/66.20 (step @p625 :rule false_intro :premises (@p854)) % 64.81/66.20 (step @p228 :rule trans :premises (@p149 @p150)) % 64.81/66.20 (step @p589 :rule refl :args (@t25)) % 64.81/66.20 (step @p626 :rule cong :premises (@p589 @p228) :args (@t67)) % 64.81/66.20 (step @p627 :rule trans :premises (@p626 @p625)) % 64.81/66.20 (step @p628 :rule false_elim :premises (@p627)) % 64.81/66.20 (step-pop @p858 :rule scope :premises (@p628)) % 64.81/66.20 (step-pop @p859 :rule scope :premises (@p858)) % 64.81/66.20 (step-pop @p860 :rule scope :premises (@p859)) % 64.81/66.20 (step @p629 :rule process_scope :premises (@p860) :args (@t219)) % 64.81/66.20 (step @p633 :rule and_intro :premises (@p854 @p150 @p149)) % 64.81/66.20 (step @p634 :rule modus_ponens :premises (@p633 @p629)) % 64.81/66.20 (step-pop @p861 :rule scope :premises (@p634)) % 64.81/66.20 (step-pop @p862 :rule scope :premises (@p861)) % 64.81/66.20 (step-pop @p863 :rule scope :premises (@p862)) % 64.81/66.20 (step @p635 :rule process_scope :premises (@p863) :args (@t219)) % 64.81/66.20 (step @p639 :rule implies_elim :premises (@p635)) % 64.81/66.20 (step @p640 :rule cnf_and_neg :args (@t224)) % 64.81/66.20 (step @p641 :rule resolution :premises (@p640 @p639) :args (true @t224)) % 64.81/66.20 (step @p642 :rule eq_resolve :premises (@p641 @p618)) % 64.81/66.20 (step @p643 :rule reordering :premises (@p642) :args ((or @t117 @t115 @t219 @t222))) % 64.81/66.20 (step @p644 :rule chain_m_resolution :premises (@p643 @p149 @p150 @p615) :args (@t222 @t221 (@list @t116 @t114 @t67))) % 64.81/66.20 (step @p645 :rule cnf_equiv_pos1 :args (@t227)) % 64.81/66.20 (step @p646 :rule reordering :premises (@p645) :args ((or @t226 @t223 (not @t227)))) % 64.81/66.20 (step @p647 :rule chain_m_resolution :premises (@p646 @p644 @p72) :args (@t226 @t57 (@list @t222 @t227))) % 64.81/66.20 (step @p648 :rule instantiate :premises (@p4) :args (@t152)) % 64.81/66.20 (step @p649 :rule cnf_or_pos :args (@t226)) % 64.81/66.20 (step @p650 :rule reordering :premises (@p649) :args ((or @t225 @t59 (not @t226)))) % 64.81/66.20 (step @p651 :rule chain_m_resolution :premises (@p650 @p648 @p647) :args (@t59 @t121 (@list @t225 @t226))) % 64.81/66.20 (step @p652 :rule cnf_equiv_pos2 :args (@t63)) % 64.81/66.20 (step @p653 :rule reordering :premises (@p652) :args ((or @t60 (not @t59) (not @t63)))) % 64.81/66.20 (step @p654 :rule chain_m_resolution :premises (@p653 @p651 @p71) :args (@t60 @t57 (@list @t59 @t63))) % 64.81/66.20 (step @p655 :rule refl :args (@t228)) % 64.81/66.20 (step @p656 :rule refl :args (@t229)) % 64.81/66.20 (step @p657 :rule refl :args (@t231)) % 64.81/66.20 (step @p658 :rule nary_cong :premises (@p260 @p657 @p656 @p170 @p655) :args ((or @t137 @t231 @t229 @t119 @t228))) % 64.81/66.20 (assume-push @p864 @t55) % 64.81/66.20 (assume-push @p865 @t230) % 64.81/66.20 (assume-push @p866 @t136) % 64.81/66.20 (assume-push @p867 @t60) % 64.81/66.20 (assume-push @p868 @t118) % 64.81/66.20 (step @p664 :rule evaluate :args ((= false true))) % 64.81/66.20 (step @p665 :rule cong :premises (@p128 @p867) :args (@t104)) % 64.81/66.20 (step @p183 :rule false_intro :premises (@p30)) % 64.81/66.20 (step @p666 :rule symm :premises (@p183)) % 64.81/66.20 (step @p667 :rule trans :premises (@p666 @p665 @p311 @p309)) % 64.81/66.20 (step @p668 false :rule eq_resolve :premises (@p667 @p664)) % 64.81/66.20 (step-pop @p869 :rule scope :premises (@p668)) % 64.81/66.20 (step-pop @p870 :rule scope :premises (@p869)) % 64.81/66.20 (step-pop @p871 :rule scope :premises (@p870)) % 64.81/66.20 (step-pop @p872 :rule scope :premises (@p871)) % 64.81/66.20 (step-pop @p873 :rule scope :premises (@p872)) % 64.81/66.20 (step @p669 :rule process_scope :premises (@p873) :args (false)) % 64.81/66.20 (assume-push @p874 @t136) % 64.81/66.20 (assume-push @p875 @t230) % 64.81/66.20 (assume-push @p876 @t60) % 64.81/66.20 (assume-push @p877 @t118) % 64.81/66.20 (assume-push @p878 @t55) % 64.81/66.20 (step @p680 :rule and_intro :premises (@p56 @p29 @p28 @p876 @p30)) % 64.81/66.20 (step-pop @p879 :rule scope :premises (@p680)) % 64.81/66.20 (step-pop @p880 :rule scope :premises (@p879)) % 64.81/66.20 (step-pop @p881 :rule scope :premises (@p880)) % 64.81/66.20 (step-pop @p882 :rule scope :premises (@p881)) % 64.81/66.20 (step-pop @p883 :rule scope :premises (@p882)) % 64.81/66.20 (step @p681 :rule process_scope :premises (@p883) :args (@t232)) % 64.81/66.20 (step @p687 :rule implies_elim :premises (@p681)) % 64.81/66.20 (step @p688 :rule resolution :premises (@p687 @p669) :args (true @t232)) % 64.81/66.20 (step @p689 :rule not_and :premises (@p688)) % 64.81/66.20 (step @p690 :rule eq_resolve :premises (@p689 @p658)) % 64.81/66.20 (step @p691 false :rule chain_m_resolution :premises (@p690 @p654 @p56 @p30 @p29 @p28) :args (false (@list false false true false false) (@list @t60 @t55 @t104 @t230 @t136))) % 64.81/66.20 ) % 64.81/66.20 % SZS output end Proof % 64.81/66.20 % cvc5 exiting %------------------------------------------------------------------------------