%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV565+1 : TPTP v9.2.1. Released v9.1.0. % 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 08:56:07 AM UTC 2026 % Result : Theorem 159.11s 159.39s % Output : Proof 159.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV565+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 18:40:06 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 159.11/159.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 159.11/159.39 --- Run --no-e-matching --full-saturate-quant at 6... % 159.11/159.39 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 159.11/159.39 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 159.11/159.39 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 159.11/159.39 --- Run --trigger-sel=max --full-saturate-quant at 15... % 159.11/159.39 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 159.11/159.39 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 159.11/159.39 --- Run --prenex-quant=none --full-saturate-quant at 30... % 159.11/159.39 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 159.11/159.39 % SZS status Theorem % 159.11/159.39 % SZS output start Proof % 159.11/159.39 ( % 159.11/159.39 (declare-sort $$unsorted 0) % 159.11/159.39 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 159.11/159.39 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 159.11/159.39 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 159.11/159.39 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 159.11/159.39 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 159.11/159.39 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 159.11/159.39 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 159.11/159.39 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 159.11/159.39 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 159.11/159.39 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 159.11/159.39 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 159.11/159.39 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 159.11/159.39 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 159.11/159.39 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 159.11/159.39 (declare-const tptp.e $$unsorted) % 159.11/159.39 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 159.11/159.39 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 159.11/159.39 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 159.11/159.39 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 159.11/159.39 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 159.11/159.39 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 159.11/159.39 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 159.11/159.39 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 159.11/159.39 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 159.11/159.39 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 159.11/159.39 (define @t1 () (@var "Y" $$unsorted)) % 159.11/159.39 (define @t2 () (@var "Z" $$unsorted)) % 159.11/159.39 (define @t3 () (tptp.mem @t2 @t1)) % 159.11/159.39 (define @t4 () (@var "X" $$unsorted)) % 159.11/159.39 (define @t5 () (tptp.mem @t2 @t4)) % 159.11/159.39 (define @t6 () (@list @t2)) % 159.11/159.39 (define @t7 () (forall @t6 (=> @t5 @t3))) % 159.11/159.39 (define @t8 () (tptp.subq @t4 @t1)) % 159.11/159.39 (define @t9 () (= @t8 @t7)) % 159.11/159.39 (define @t10 () (@list @t4 @t1)) % 159.11/159.39 (define @t11 () (forall @t10 @t9)) % 159.11/159.39 (define @t12 () (= @t4 @t1)) % 159.11/159.39 (define @t13 () (tptp.subq @t1 @t4)) % 159.11/159.39 (define @t14 () (@list @t4)) % 159.11/159.39 (define @t15 () (tptp.s @t1)) % 159.11/159.39 (define @t16 () (tptp.mem @t4 @t15)) % 159.11/159.39 (define @t17 () (forall @t10 (= @t16 @t12))) % 159.11/159.39 (define @t18 () (tptp.mem @t4 @t2)) % 159.11/159.39 (define @t19 () (tptp.mem @t4 @t1)) % 159.11/159.39 (define @t20 () (@list @t4 @t1 @t2)) % 159.11/159.39 (define @t21 () (tptp.p @t1)) % 159.11/159.39 (define @t22 () (tptp.mem @t4 @t21)) % 159.11/159.39 (define @t23 () (forall @t10 (= @t22 @t8))) % 159.11/159.39 (define @t24 () (@list @t1)) % 159.11/159.39 (define @t25 () (not @t8)) % 159.11/159.39 (define @t26 () (tptp.n tptp.e)) % 159.11/159.39 (define @t27 () (tptp.n @t26)) % 159.11/159.39 (define @t28 () (tptp.n @t27)) % 159.11/159.39 (define @t29 () (tptp.s @t28)) % 159.11/159.39 (define @t30 () (tptp.s @t26)) % 159.11/159.39 (define @t31 () (tptp.n @t30)) % 159.11/159.39 (define @t32 () (tptp.u @t26 @t31)) % 159.11/159.39 (define @t33 () (tptp.s @t27)) % 159.11/159.39 (define @t34 () (tptp.a @t33 @t31)) % 159.11/159.39 (define @t35 () (tptp.a @t34 @t32)) % 159.11/159.39 (define @t36 () (tptp.u @t35 @t29)) % 159.11/159.39 (define @t37 () (tptp.p @t30)) % 159.11/159.39 (define @t38 () (tptp.p @t37)) % 159.11/159.39 (define @t39 () (tptp.p @t32)) % 159.11/159.39 (define @t40 () (tptp.m @t39 @t38)) % 159.11/159.39 (define @t41 () (tptp.u @t40 @t29)) % 159.11/159.39 (define @t42 () (tptp.subq @t41 @t36)) % 159.11/159.39 (define @t43 () (not @t42)) % 159.11/159.39 (define @t44 () (tptp.s tptp.e)) % 159.11/159.39 (define @t45 () (tptp.mem tptp.e @t44)) % 159.11/159.39 (define @t46 () (= (= tptp.e tptp.e) @t45)) % 159.11/159.39 (define @t47 () (forall @t10 (= @t12 @t16))) % 159.11/159.39 (define @t48 () (@list tptp.e tptp.e)) % 159.11/159.39 (define @t49 () (@list false)) % 159.11/159.39 (define @t50 () (@list @t47)) % 159.11/159.39 (define @t51 () (tptp.mem tptp.e tptp.e)) % 159.11/159.39 (define @t52 () (or @t51 @t45)) % 159.11/159.39 (define @t53 () (tptp.u tptp.e @t44)) % 159.11/159.39 (define @t54 () (tptp.mem tptp.e @t53)) % 159.11/159.39 (define @t55 () (= @t54 @t52)) % 159.11/159.39 (define @t56 () (@list false false)) % 159.11/159.39 (define @t57 () (@list tptp.e)) % 159.11/159.39 (define @t58 () (tptp.mem tptp.e @t26)) % 159.11/159.39 (define @t59 () (not @t54)) % 159.11/159.39 (define @t60 () (tptp.a tptp.e tptp.e)) % 159.11/159.39 (define @t61 () (= @t60 @t53)) % 159.11/159.39 (define @t62 () (not @t61)) % 159.11/159.39 (define @t63 () (= tptp.e @t26)) % 159.11/159.39 (define @t64 () (not @t63)) % 159.11/159.39 (define @t65 () (= @t26 @t60)) % 159.11/159.39 (define @t66 () (not @t65)) % 159.11/159.39 (define @t67 () (not @t51)) % 159.11/159.39 (define @t68 () (= false true)) % 159.11/159.39 (define @t69 () (and @t54 @t61 @t65 @t63 @t67)) % 159.11/159.39 (define @t70 () (tptp.mem tptp.e @t30)) % 159.11/159.39 (define @t71 () (= @t63 @t70)) % 159.11/159.39 (define @t72 () (not @t70)) % 159.11/159.39 (define @t73 () (@list true false)) % 159.11/159.39 (define @t74 () (not @t58)) % 159.11/159.39 (define @t75 () (or @t74 @t70)) % 159.11/159.39 (define @t76 () (not @t75)) % 159.11/159.39 (define @t77 () (tptp.mem @t2 @t30)) % 159.11/159.39 (define @t78 () (not (tptp.mem @t2 @t26))) % 159.11/159.39 (define @t79 () (forall @t6 (or @t78 @t77))) % 159.11/159.39 (define @t80 () (not @t79)) % 159.11/159.39 (define @t81 () (@list true)) % 159.11/159.39 (define @t82 () (@quantifiers_skolemize @t79 0)) % 159.11/159.39 (define @t83 () (tptp.mem @t82 @t30)) % 159.11/159.39 (define @t84 () (tptp.mem @t82 @t26)) % 159.11/159.39 (define @t85 () (not @t84)) % 159.11/159.39 (define @t86 () (or @t85 @t83)) % 159.11/159.39 (define @t87 () (not @t86)) % 159.11/159.39 (define @t88 () (@list @t86)) % 159.11/159.39 (define @t89 () (not @t83)) % 159.11/159.39 (define @t90 () (tptp.mem @t30 @t30)) % 159.11/159.39 (define @t91 () (= @t30 @t26)) % 159.11/159.39 (define @t92 () (= @t91 @t90)) % 159.11/159.39 (define @t93 () (= @t26 @t30)) % 159.11/159.39 (define @t94 () (= @t90 @t93)) % 159.11/159.39 (define @t95 () (tptp.s @t30)) % 159.11/159.39 (define @t96 () (tptp.mem @t30 @t95)) % 159.11/159.39 (define @t97 () (= (= @t30 @t30) @t96)) % 159.11/159.39 (define @t98 () (@list @t30 @t30)) % 159.11/159.39 (define @t99 () (or @t90 @t96)) % 159.11/159.39 (define @t100 () (tptp.u @t30 @t95)) % 159.11/159.39 (define @t101 () (tptp.mem @t30 @t100)) % 159.11/159.39 (define @t102 () (= @t101 @t99)) % 159.11/159.39 (define @t103 () (tptp.s @t31)) % 159.11/159.39 (define @t104 () (tptp.s @t32)) % 159.11/159.39 (define @t105 () (forall @t6 (or (not (tptp.mem @t2 @t41)) (tptp.mem @t2 @t36)))) % 159.11/159.39 (define @t106 () (= @t42 @t105)) % 159.11/159.39 (define @t107 () (@list @t30)) % 159.11/159.39 (define @t108 () (tptp.subq @t30 @t32)) % 159.11/159.39 (define @t109 () (tptp.mem @t30 @t39)) % 159.11/159.39 (define @t110 () (forall @t10 (= @t8 @t22))) % 159.11/159.39 (define @t111 () (= @t108 @t109)) % 159.11/159.39 (define @t112 () (@list @t30 @t32)) % 159.11/159.39 (define @t113 () (= @t109 @t108)) % 159.11/159.39 (define @t114 () (@list @t110)) % 159.11/159.39 (define @t115 () (tptp.mem @t2 @t32)) % 159.11/159.39 (define @t116 () (not @t77)) % 159.11/159.39 (define @t117 () (forall @t6 (or @t116 @t115))) % 159.11/159.39 (define @t118 () (@quantifiers_skolemize @t117 0)) % 159.11/159.39 (define @t119 () (tptp.mem @t118 @t30)) % 159.11/159.39 (define @t120 () (tptp.mem @t118 @t32)) % 159.11/159.39 (define @t121 () (not @t119)) % 159.11/159.39 (define @t122 () (or @t121 @t120)) % 159.11/159.39 (define @t123 () (= @t118 @t26)) % 159.11/159.39 (define @t124 () (= @t123 @t119)) % 159.11/159.39 (define @t125 () (= @t26 @t118)) % 159.11/159.39 (define @t126 () (= @t119 @t125)) % 159.11/159.39 (define @t127 () (tptp.mem @t26 @t30)) % 159.11/159.39 (define @t128 () (= (= @t26 @t26) @t127)) % 159.11/159.39 (define @t129 () (@list @t26 @t26)) % 159.11/159.39 (define @t130 () (or @t127 (tptp.mem @t26 @t95))) % 159.11/159.39 (define @t131 () (not @t127)) % 159.11/159.39 (define @t132 () (tptp.mem @t26 @t100)) % 159.11/159.39 (define @t133 () (= @t132 @t130)) % 159.11/159.39 (define @t134 () (tptp.mem @t26 @t31)) % 159.11/159.39 (define @t135 () (or (tptp.mem @t26 @t26) @t134)) % 159.11/159.39 (define @t136 () (tptp.mem @t26 @t32)) % 159.11/159.39 (define @t137 () (= @t136 @t135)) % 159.11/159.39 (define @t138 () (not @t125)) % 159.11/159.39 (define @t139 () (not @t136)) % 159.11/159.39 (define @t140 () (not @t120)) % 159.11/159.39 (define @t141 () (and @t136 @t125 @t140)) % 159.11/159.39 (define @t142 () (not @t122)) % 159.11/159.39 (define @t143 () (not @t117)) % 159.11/159.39 (define @t144 () (= @t108 @t117)) % 159.11/159.39 (define @t145 () (tptp.subq @t30 @t37)) % 159.11/159.39 (define @t146 () (tptp.mem @t30 @t38)) % 159.11/159.39 (define @t147 () (= @t145 @t146)) % 159.11/159.39 (define @t148 () (@list @t30 @t37)) % 159.11/159.39 (define @t149 () (= @t146 @t145)) % 159.11/159.39 (define @t150 () (tptp.subq @t26 @t30)) % 159.11/159.39 (define @t151 () (tptp.mem @t26 @t37)) % 159.11/159.39 (define @t152 () (= @t150 @t151)) % 159.11/159.39 (define @t153 () (@list @t26 @t30)) % 159.11/159.39 (define @t154 () (= @t151 @t150)) % 159.11/159.39 (define @t155 () (= @t150 @t79)) % 159.11/159.39 (define @t156 () (not @t150)) % 159.11/159.39 (define @t157 () (not @t151)) % 159.11/159.39 (define @t158 () (or @t131 @t151)) % 159.11/159.39 (define @t159 () (not @t158)) % 159.11/159.39 (define @t160 () (forall @t6 (or @t116 (tptp.mem @t2 @t37)))) % 159.11/159.39 (define @t161 () (@list @t26)) % 159.11/159.39 (define @t162 () (= @t145 @t160)) % 159.11/159.39 (define @t163 () (not @t145)) % 159.11/159.39 (define @t164 () (not @t146)) % 159.11/159.39 (define @t165 () (not @t109)) % 159.11/159.39 (define @t166 () (and @t109 @t164)) % 159.11/159.39 (define @t167 () (tptp.mem @t30 @t40)) % 159.11/159.39 (define @t168 () (= @t167 @t166)) % 159.11/159.39 (define @t169 () (tptp.mem @t30 @t29)) % 159.11/159.39 (define @t170 () (or @t167 @t169)) % 159.11/159.39 (define @t171 () (tptp.mem @t30 @t41)) % 159.11/159.39 (define @t172 () (= @t171 @t170)) % 159.11/159.39 (define @t173 () (tptp.mem @t30 @t36)) % 159.11/159.39 (define @t174 () (not @t171)) % 159.11/159.39 (define @t175 () (or @t174 @t173)) % 159.11/159.39 (define @t176 () (tptp.mem @t30 @t35)) % 159.11/159.39 (define @t177 () (or @t176 @t169)) % 159.11/159.39 (define @t178 () (= @t173 @t177)) % 159.11/159.39 (define @t179 () (= @t30 @t28)) % 159.11/159.39 (define @t180 () (= @t179 @t169)) % 159.11/159.39 (define @t181 () (= @t28 @t30)) % 159.11/159.39 (define @t182 () (= @t169 @t181)) % 159.11/159.39 (define @t183 () (forall @t6 (or @t78 (tptp.mem @t2 @t28)))) % 159.11/159.39 (define @t184 () (@quantifiers_skolemize @t183 0)) % 159.11/159.39 (define @t185 () (tptp.mem @t184 @t26)) % 159.11/159.39 (define @t186 () (tptp.mem @t184 @t28)) % 159.11/159.39 (define @t187 () (not @t185)) % 159.11/159.39 (define @t188 () (or @t187 @t186)) % 159.11/159.39 (define @t189 () (forall @t6 (or @t78 (tptp.mem @t2 @t27)))) % 159.11/159.39 (define @t190 () (@quantifiers_skolemize @t189 0)) % 159.11/159.39 (define @t191 () (tptp.mem @t190 @t26)) % 159.11/159.39 (define @t192 () (tptp.mem @t190 @t27)) % 159.11/159.39 (define @t193 () (not @t191)) % 159.11/159.39 (define @t194 () (or @t193 @t192)) % 159.11/159.39 (define @t195 () (or @t191 (tptp.mem @t190 @t30))) % 159.11/159.39 (define @t196 () (tptp.u @t26 @t30)) % 159.11/159.39 (define @t197 () (tptp.mem @t190 @t196)) % 159.11/159.39 (define @t198 () (= @t197 @t195)) % 159.11/159.39 (define @t199 () (not @t197)) % 159.11/159.39 (define @t200 () (tptp.a @t26 @t26)) % 159.11/159.39 (define @t201 () (= @t200 @t196)) % 159.11/159.39 (define @t202 () (not @t201)) % 159.11/159.39 (define @t203 () (= @t27 @t200)) % 159.11/159.39 (define @t204 () (not @t203)) % 159.11/159.39 (define @t205 () (not @t192)) % 159.11/159.39 (define @t206 () (and @t203 @t201 @t205)) % 159.11/159.39 (define @t207 () (not @t194)) % 159.11/159.39 (define @t208 () (not @t189)) % 159.11/159.39 (define @t209 () (tptp.mem @t184 @t27)) % 159.11/159.39 (define @t210 () (or @t187 @t209)) % 159.11/159.39 (define @t211 () (@list @t189)) % 159.11/159.39 (define @t212 () (or @t209 (tptp.mem @t184 @t33))) % 159.11/159.39 (define @t213 () (tptp.u @t27 @t33)) % 159.11/159.39 (define @t214 () (tptp.mem @t184 @t213)) % 159.11/159.39 (define @t215 () (= @t214 @t212)) % 159.11/159.39 (define @t216 () (not @t214)) % 159.11/159.39 (define @t217 () (tptp.a @t27 @t27)) % 159.11/159.39 (define @t218 () (= @t217 @t213)) % 159.11/159.39 (define @t219 () (not @t218)) % 159.11/159.39 (define @t220 () (= @t28 @t217)) % 159.11/159.39 (define @t221 () (not @t220)) % 159.11/159.39 (define @t222 () (not @t186)) % 159.11/159.39 (define @t223 () (and @t220 @t218 @t222)) % 159.11/159.39 (define @t224 () (not @t188)) % 159.11/159.39 (define @t225 () (not @t183)) % 159.11/159.39 (define @t226 () (@list @t82)) % 159.11/159.39 (define @t227 () (tptp.mem @t82 @t28)) % 159.11/159.39 (define @t228 () (or @t85 @t227)) % 159.11/159.39 (define @t229 () (not @t227)) % 159.11/159.39 (define @t230 () (not @t181)) % 159.11/159.39 (define @t231 () (not @t89)) % 159.11/159.39 (define @t232 () (and @t227 @t181 @t89)) % 159.11/159.39 (define @t233 () (not @t169)) % 159.11/159.39 (define @t234 () (tptp.u @t34 @t104)) % 159.11/159.39 (define @t235 () (= @t35 @t234)) % 159.11/159.39 (define @t236 () (tptp.mem @t30 @t234)) % 159.11/159.39 (define @t237 () (and @t235 @t176)) % 159.11/159.39 (define @t238 () (tptp.mem @t30 @t104)) % 159.11/159.39 (define @t239 () (tptp.mem @t30 @t34)) % 159.11/159.39 (define @t240 () (or @t239 @t238)) % 159.11/159.39 (define @t241 () (= @t236 @t240)) % 159.11/159.39 (define @t242 () (= @t30 @t32)) % 159.11/159.39 (define @t243 () (= @t242 @t238)) % 159.11/159.39 (define @t244 () (= @t238 @t242)) % 159.11/159.39 (define @t245 () (forall @t6 (or @t78 @t115))) % 159.11/159.39 (define @t246 () (@quantifiers_skolemize @t245 0)) % 159.11/159.39 (define @t247 () (tptp.mem @t246 @t26)) % 159.11/159.39 (define @t248 () (tptp.mem @t246 @t32)) % 159.11/159.39 (define @t249 () (not @t247)) % 159.11/159.39 (define @t250 () (or @t249 @t248)) % 159.11/159.39 (define @t251 () (or @t247 (tptp.mem @t246 @t31))) % 159.11/159.39 (define @t252 () (= @t248 @t251)) % 159.11/159.39 (define @t253 () (not @t250)) % 159.11/159.39 (define @t254 () (not @t245)) % 159.11/159.39 (define @t255 () (tptp.mem @t82 @t32)) % 159.11/159.39 (define @t256 () (or @t85 @t255)) % 159.11/159.39 (define @t257 () (not @t242)) % 159.11/159.39 (define @t258 () (not @t255)) % 159.11/159.39 (define @t259 () (= true false)) % 159.11/159.39 (define @t260 () (and @t89 @t242 @t255)) % 159.11/159.39 (define @t261 () (not @t238)) % 159.11/159.39 (define @t262 () (not @t239)) % 159.11/159.39 (define @t263 () (tptp.u @t33 @t103)) % 159.11/159.39 (define @t264 () (tptp.mem @t30 @t263)) % 159.11/159.39 (define @t265 () (= @t34 @t263)) % 159.11/159.39 (define @t266 () (not @t265)) % 159.11/159.39 (define @t267 () (not @t264)) % 159.11/159.39 (define @t268 () (and @t265 @t267)) % 159.11/159.39 (define @t269 () (tptp.mem @t30 @t103)) % 159.11/159.39 (define @t270 () (tptp.mem @t30 @t33)) % 159.11/159.39 (define @t271 () (or @t270 @t269)) % 159.11/159.39 (define @t272 () (= @t264 @t271)) % 159.11/159.39 (define @t273 () (= @t30 @t27)) % 159.11/159.39 (define @t274 () (= @t273 @t270)) % 159.11/159.39 (define @t275 () (= @t27 @t30)) % 159.11/159.39 (define @t276 () (= @t270 @t275)) % 159.11/159.39 (define @t277 () (tptp.mem @t82 @t27)) % 159.11/159.39 (define @t278 () (or @t85 @t277)) % 159.11/159.39 (define @t279 () (not @t277)) % 159.11/159.39 (define @t280 () (not @t275)) % 159.11/159.39 (define @t281 () (and @t277 @t275 @t89)) % 159.11/159.39 (define @t282 () (not @t270)) % 159.11/159.39 (define @t283 () (= @t30 @t31)) % 159.11/159.39 (define @t284 () (= @t283 @t269)) % 159.11/159.39 (define @t285 () (not @t101)) % 159.11/159.39 (define @t286 () (not @t283)) % 159.11/159.39 (define @t287 () (tptp.a @t30 @t30)) % 159.11/159.39 (define @t288 () (= @t287 @t100)) % 159.11/159.39 (define @t289 () (not @t288)) % 159.11/159.39 (define @t290 () (= @t31 @t287)) % 159.11/159.39 (define @t291 () (not @t290)) % 159.11/159.39 (define @t292 () (not @t90)) % 159.11/159.39 (define @t293 () (and @t101 @t288 @t290 @t283 @t292)) % 159.11/159.39 (define @t294 () (not @t93)) % 159.11/159.39 (define @t295 () (and @t89 @t93 @t84)) % 159.11/159.39 (assume @p1 @t11) % 159.11/159.39 (assume @p2 (forall @t10 (=> @t8 (=> @t13 @t12)))) % 159.11/159.39 (assume @p3 (forall @t10 (= (tptp.disj @t4 @t1) (not (exists @t6 (and @t5 @t3)))))) % 159.11/159.39 (assume @p4 (forall @t14 (not (tptp.mem @t4 tptp.e)))) % 159.11/159.39 (assume @p5 @t17) % 159.11/159.39 (assume @p6 (forall @t20 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t19 @t18)))) % 159.11/159.39 (assume @p7 (forall @t20 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t19 (not @t18))))) % 159.11/159.39 (assume @p8 (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t15)))) % 159.11/159.39 (assume @p9 (forall @t14 (= (tptp.n @t4) (tptp.a @t4 @t4)))) % 159.11/159.39 (assume @p10 @t23) % 159.11/159.39 (assume @p11 (forall @t14 (= (tptp.atleast2p @t4) (exists @t24 (and (tptp.mem @t1 @t4) (not (tptp.subq @t4 @t21))))))) % 159.11/159.39 (assume @p12 (forall @t14 (= (tptp.atleast3p @t4) (exists @t24 (and @t13 (tptp.atleast2p @t1) @t25))))) % 159.11/159.39 (assume @p13 (forall @t14 (= (tptp.atleast4p @t4) (exists @t24 (and @t13 (tptp.atleast3p @t1) @t25))))) % 159.11/159.39 (assume @p14 (forall @t14 (= (tptp.atleast5p @t4) (exists @t24 (and @t13 (tptp.atleast4p @t1) @t25))))) % 159.11/159.39 (assume @p15 (forall @t14 (= (tptp.atleast6p @t4) (exists @t24 (and @t13 (tptp.atleast5p @t1) @t25))))) % 159.11/159.39 (assume @p16 (forall @t14 (= (tptp.atleast7p @t4) (exists @t24 (and @t13 (tptp.atleast6p @t1) @t25))))) % 159.11/159.39 (assume @p17 (forall @t14 (= (tptp.atleast8p @t4) (exists @t24 (and @t13 (tptp.atleast7p @t1) @t25))))) % 159.11/159.39 (assume @p18 (forall @t14 (= (tptp.atleast9p @t4) (exists @t24 (and @t13 (tptp.atleast8p @t1) @t25))))) % 159.11/159.39 (assume @p19 (forall @t14 (= (tptp.atleast10p @t4) (exists @t24 (and @t13 (tptp.atleast9p @t1) @t25))))) % 159.11/159.39 (assume @p20 (forall @t14 (= (tptp.atleast11p @t4) (exists @t24 (and @t13 (tptp.atleast10p @t1) @t25))))) % 159.11/159.39 (assume @p21 (forall @t14 (= (tptp.atleast12p @t4) (exists @t24 (and @t13 (tptp.atleast11p @t1) @t25))))) % 159.11/159.39 (assume @p22 (forall @t14 (= (tptp.atleast13p @t4) (exists @t24 (and @t13 (tptp.atleast12p @t1) @t25))))) % 159.11/159.39 (assume @p23 (forall @t14 (= (tptp.atleast14p @t4) (exists @t24 (and @t13 (tptp.atleast13p @t1) @t25))))) % 159.11/159.39 (assume @p24 (forall @t14 (= (tptp.atleast15p @t4) (exists @t24 (and @t13 (tptp.atleast14p @t1) @t25))))) % 159.11/159.39 (assume @p25 (forall @t14 (= (tptp.atleast16p @t4) (exists @t24 (and @t13 (tptp.atleast15p @t1) @t25))))) % 159.11/159.39 (assume @p26 (not @t43)) % 159.11/159.39 (assume @p27 true) % 159.11/159.39 (step @p28 :rule instantiate :premises (@p6) :args ((@list tptp.e tptp.e @t44))) % 159.11/159.39 (step @p29 :rule eq-symm :args (@t16 @t12)) % 159.11/159.39 (step @p30 :rule cong :premises (@p29) :args (@t17)) % 159.11/159.39 (step @p31 :rule eq_resolve :premises (@p5 @p30)) % 159.11/159.39 (step @p32 :rule bool-eq-true :args (@t45)) % 159.11/159.39 (step @p33 :rule eq-symm :args (true @t45)) % 159.11/159.39 (step @p34 :rule trans :premises (@p33 @p32)) % 159.11/159.39 (step @p35 :rule refl :args (@t45)) % 159.11/159.39 (step @p36 :rule eq-refl :args (tptp.e)) % 159.11/159.39 (step @p37 :rule cong :premises (@p36 @p35) :args (@t46)) % 159.11/159.39 (step @p38 :rule trans :premises (@p37 @p34)) % 159.11/159.39 (step @p39 :rule refl :args (@t47)) % 159.11/159.39 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t47 @t46))) % 159.11/159.40 (assume-push @p823 @t47) % 159.11/159.40 (step @p42 :rule instantiate :premises (@p31) :args (@t48)) % 159.11/159.40 (step-pop @p824 :rule scope :premises (@p42)) % 159.11/159.40 (step @p43 :rule process_scope :premises (@p824) :args (@t46)) % 159.11/159.40 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 159.11/159.40 (step @p46 :rule implies_elim :premises (@p45)) % 159.11/159.40 (step @p47 :rule chain_m_resolution :premises (@p46 @p31) :args (@t45 @t49 @t50)) % 159.11/159.40 (step @p48 :rule cnf_or_neg :args (@t52 1)) % 159.11/159.40 (step @p49 :rule reordering :premises (@p48) :args ((or (not @t45) @t52))) % 159.11/159.40 (step @p50 :rule chain_m_resolution :premises (@p49 @p47) :args (@t52 @t49 (@list @t45))) % 159.11/159.40 (step @p51 :rule cnf_equiv_pos2 :args (@t55)) % 159.11/159.40 (step @p52 :rule reordering :premises (@p51) :args ((or @t54 (not @t52) (not @t55)))) % 159.11/159.40 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p28) :args (@t54 @t56 (@list @t52 @t55))) % 159.11/159.40 (step @p54 :rule true_intro :premises (@p53)) % 159.11/159.40 (step @p55 :rule instantiate :premises (@p8) :args (@t48)) % 159.11/159.40 (step @p56 :rule instantiate :premises (@p9) :args (@t57)) % 159.11/159.40 (step @p57 :rule trans :premises (@p56 @p55)) % 159.11/159.40 (step @p58 :rule refl :args (tptp.e)) % 159.11/159.40 (step @p59 :rule cong :premises (@p58 @p57) :args (@t58)) % 159.11/159.40 (step @p60 :rule trans :premises (@p59 @p54)) % 159.11/159.40 (step @p61 :rule true_elim :premises (@p60)) % 159.11/159.40 (step @p62 :rule instantiate :premises (@p31) :args ((@list tptp.e @t26))) % 159.11/159.40 (step @p63 :rule instantiate :premises (@p4) :args (@t57)) % 159.11/159.40 (step @p64 :rule refl :args (@t59)) % 159.11/159.40 (step @p65 :rule refl :args (@t62)) % 159.11/159.40 (step @p66 :rule bool-double-not-elim :args (@t51)) % 159.11/159.40 (step @p67 :rule refl :args (@t64)) % 159.11/159.40 (step @p68 :rule refl :args (@t66)) % 159.11/159.40 (step @p69 :rule nary_cong :premises (@p68 @p67 @p66 @p65 @p64) :args ((or @t66 @t64 (not @t67) @t62 @t59))) % 159.11/159.40 (assume-push @p825 @t54) % 159.11/159.40 (assume-push @p826 @t61) % 159.11/159.40 (assume-push @p827 @t65) % 159.11/159.40 (assume-push @p828 @t63) % 159.11/159.40 (assume-push @p829 @t67) % 159.11/159.40 (step @p75 :rule evaluate :args (@t68)) % 159.11/159.40 (step @p76 :rule cong :premises (@p58 @p828) :args (@t51)) % 159.11/159.40 (step @p77 :rule false_intro :premises (@p63)) % 159.11/159.40 (step @p78 :rule symm :premises (@p77)) % 159.11/159.40 (step @p79 :rule trans :premises (@p78 @p76 @p59 @p54)) % 159.11/159.40 (step @p80 false :rule eq_resolve :premises (@p79 @p75)) % 159.11/159.40 (step-pop @p830 :rule scope :premises (@p80)) % 159.11/159.40 (step-pop @p831 :rule scope :premises (@p830)) % 159.11/159.40 (step-pop @p832 :rule scope :premises (@p831)) % 159.11/159.40 (step-pop @p833 :rule scope :premises (@p832)) % 159.11/159.40 (step-pop @p834 :rule scope :premises (@p833)) % 159.11/159.40 (step @p81 :rule process_scope :premises (@p834) :args (false)) % 159.11/159.40 (assume-push @p835 @t65) % 159.11/159.40 (assume-push @p836 @t63) % 159.11/159.40 (assume-push @p837 @t67) % 159.11/159.40 (assume-push @p838 @t61) % 159.11/159.40 (assume-push @p839 @t54) % 159.11/159.40 (step @p92 :rule and_intro :premises (@p53 @p55 @p56 @p836 @p63)) % 159.11/159.40 (step-pop @p840 :rule scope :premises (@p92)) % 159.11/159.40 (step-pop @p841 :rule scope :premises (@p840)) % 159.11/159.40 (step-pop @p842 :rule scope :premises (@p841)) % 159.11/159.40 (step-pop @p843 :rule scope :premises (@p842)) % 159.11/159.40 (step-pop @p844 :rule scope :premises (@p843)) % 159.11/159.40 (step @p93 :rule process_scope :premises (@p844) :args (@t69)) % 159.11/159.40 (step @p99 :rule implies_elim :premises (@p93)) % 159.11/159.40 (step @p100 :rule resolution :premises (@p99 @p81) :args (true @t69)) % 159.11/159.40 (step @p101 :rule not_and :premises (@p100)) % 159.11/159.40 (step @p102 :rule eq_resolve :premises (@p101 @p69)) % 159.11/159.40 (step @p103 :rule reordering :premises (@p102) :args ((or @t51 @t66 @t64 @t62 @t59))) % 159.11/159.40 (step @p104 :rule chain_m_resolution :premises (@p103 @p63 @p56 @p55 @p53) :args (@t64 (@list true false false false) (@list @t51 @t65 @t61 @t54))) % 159.11/159.40 (step @p105 :rule cnf_equiv_pos2 :args (@t71)) % 159.11/159.40 (step @p106 :rule reordering :premises (@p105) :args ((or @t63 @t72 (not @t71)))) % 159.11/159.40 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p62) :args (@t72 @t73 (@list @t63 @t71))) % 159.11/159.40 (step @p108 :rule cnf_or_pos :args (@t75)) % 159.11/159.40 (step @p109 :rule reordering :premises (@p108) :args ((or @t70 @t74 @t76))) % 159.11/159.40 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p61) :args (@t76 @t73 (@list @t70 @t58))) % 159.11/159.40 (assume-push @p845 @t79) % 159.11/159.40 (step @p112 :rule instantiate :premises (@p845) :args (@t57)) % 159.11/159.40 (step-pop @p846 :rule scope :premises (@p112)) % 159.11/159.40 (step @p113 :rule process_scope :premises (@p846) :args (@t75)) % 159.11/159.40 (step @p115 :rule implies_elim :premises (@p113)) % 159.11/159.40 (step @p116 :rule chain_m_resolution :premises (@p115 @p110) :args (@t80 @t81 (@list @t75))) % 159.11/159.40 (step @p117 :rule refl :args (@t87)) % 159.11/159.40 (step @p118 :rule bool-double-not-elim :args (@t79)) % 159.11/159.40 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or (not @t80) @t87))) % 159.11/159.40 (assume-push @p847 @t80) % 159.11/159.40 (step @p121 :rule skolemize :premises (@p847)) % 159.11/159.40 (step-pop @p848 :rule scope :premises (@p121)) % 159.11/159.40 (step @p122 :rule process_scope :premises (@p848) :args (@t87)) % 159.11/159.40 (step @p124 :rule implies_elim :premises (@p122)) % 159.11/159.40 (step @p125 :rule eq_resolve :premises (@p124 @p119)) % 159.11/159.40 (step @p126 :rule chain_m_resolution :premises (@p125 @p116) :args (@t87 @t81 (@list @t79))) % 159.11/159.40 (step @p127 :rule bool-double-not-elim :args (@t84)) % 159.11/159.40 (step @p128 :rule refl :args (@t86)) % 159.11/159.40 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or @t86 (not @t85)))) % 159.11/159.40 (step @p130 :rule cnf_or_neg :args (@t86 0)) % 159.11/159.40 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 159.11/159.40 (step @p132 :rule reordering :premises (@p131) :args ((or @t84 @t86))) % 159.11/159.40 (step @p133 :rule chain_m_resolution :premises (@p132 @p126) :args (@t84 @t81 @t88)) % 159.11/159.40 (step @p134 :rule cnf_or_neg :args (@t86 1)) % 159.11/159.40 (step @p135 :rule chain_m_resolution :premises (@p134 @p126) :args (@t89 @t81 @t88)) % 159.11/159.40 (step @p136 :rule eq-symm :args (@t30 @t26)) % 159.11/159.40 (step @p137 :rule refl :args (@t90)) % 159.11/159.40 (step @p138 :rule cong :premises (@p137 @p136) :args ((= @t90 @t91))) % 159.11/159.40 (step @p139 :rule eq-symm :args (@t91 @t90)) % 159.11/159.40 (step @p140 :rule trans :premises (@p139 @p138)) % 159.11/159.40 (step @p141 :rule cong :premises (@p39 @p140) :args ((=> @t47 @t92))) % 159.11/159.40 (assume-push @p849 @t47) % 159.11/159.40 (step @p143 :rule instantiate :premises (@p31) :args ((@list @t30 @t26))) % 159.11/159.40 (step-pop @p850 :rule scope :premises (@p143)) % 159.11/159.40 (step @p144 :rule process_scope :premises (@p850) :args (@t92)) % 159.11/159.40 (step @p146 :rule eq_resolve :premises (@p144 @p141)) % 159.11/159.40 (step @p147 :rule implies_elim :premises (@p146)) % 159.11/159.40 (step @p148 :rule chain_m_resolution :premises (@p147 @p31) :args (@t94 @t49 @t50)) % 159.11/159.40 (step @p149 :rule instantiate :premises (@p6) :args ((@list @t30 @t30 @t95))) % 159.11/159.40 (step @p150 :rule bool-eq-true :args (@t96)) % 159.11/159.40 (step @p151 :rule eq-symm :args (true @t96)) % 159.11/159.40 (step @p152 :rule trans :premises (@p151 @p150)) % 159.11/159.40 (step @p153 :rule refl :args (@t96)) % 159.11/159.40 (step @p154 :rule eq-refl :args (@t30)) % 159.11/159.40 (step @p155 :rule cong :premises (@p154 @p153) :args (@t97)) % 159.11/159.40 (step @p156 :rule trans :premises (@p155 @p152)) % 159.11/159.40 (step @p157 :rule cong :premises (@p39 @p156) :args ((=> @t47 @t97))) % 159.11/159.40 (assume-push @p851 @t47) % 159.11/159.40 (step @p159 :rule instantiate :premises (@p31) :args (@t98)) % 159.11/159.40 (step-pop @p852 :rule scope :premises (@p159)) % 159.11/159.40 (step @p160 :rule process_scope :premises (@p852) :args (@t97)) % 159.11/159.40 (step @p162 :rule eq_resolve :premises (@p160 @p157)) % 159.11/159.40 (step @p163 :rule implies_elim :premises (@p162)) % 159.11/159.40 (step @p164 :rule chain_m_resolution :premises (@p163 @p31) :args (@t96 @t49 @t50)) % 159.11/159.40 (step @p165 :rule cnf_or_neg :args (@t99 1)) % 159.11/159.40 (step @p166 :rule chain_m_resolution :premises (@p165 @p164) :args (@t99 @t49 (@list @t96))) % 159.11/159.40 (step @p167 :rule cnf_equiv_pos2 :args (@t102)) % 159.11/159.40 (step @p168 :rule reordering :premises (@p167) :args ((or @t101 (not @t99) (not @t102)))) % 159.11/159.40 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p149) :args (@t101 @t56 (@list @t99 @t102))) % 159.11/159.40 (step @p170 :rule instantiate :premises (@p31) :args ((@list @t30 @t31))) % 159.11/159.40 (step @p171 :rule instantiate :premises (@p6) :args ((@list @t30 @t33 @t103))) % 159.11/159.40 (step @p172 :rule instantiate :premises (@p6) :args ((@list @t30 @t34 @t104))) % 159.11/159.40 (step @p173 :rule instantiate :premises (@p6) :args ((@list @t30 @t35 @t29))) % 159.11/159.40 (step @p174 :rule bool-impl-elim :args (@t5 @t3)) % 159.11/159.40 (step @p175 :rule cong :premises (@p174) :args (@t7)) % 159.11/159.40 (step @p176 :rule refl :args (@t8)) % 159.11/159.40 (step @p177 :rule cong :premises (@p176 @p175) :args (@t9)) % 159.11/159.40 (step @p178 :rule cong :premises (@p177) :args (@t11)) % 159.11/159.40 (step @p179 :rule eq_resolve 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159.23/159.40 (step @p648 :rule implies_elim :premises (@p644)) % 159.23/159.40 (step @p649 :rule resolution :premises (@p648 @p636) :args (true @t260)) % 159.23/159.40 (step @p650 :rule not_and :premises (@p649)) % 159.23/159.40 (step @p651 :rule eq_resolve :premises (@p650 @p624)) % 159.23/159.40 (step @p652 :rule chain_m_resolution :premises (@p651 @p135 @p621) :args (@t257 @t73 (@list @t83 @t255))) % 159.23/159.40 (step @p653 :rule cnf_equiv_pos1 :args (@t244)) % 159.23/159.40 (step @p654 :rule reordering :premises (@p653) :args ((or @t261 @t242 (not @t244)))) % 159.23/159.40 (step @p655 :rule chain_m_resolution :premises (@p654 @p652 @p589) :args (@t261 @t73 (@list @t242 @t244))) % 159.23/159.40 (step @p656 :rule cnf_or_pos :args (@t240)) % 159.23/159.40 (step @p657 :rule reordering :premises (@p656) :args ((or @t239 @t238 (not @t240)))) % 159.23/159.40 (step @p658 :rule chain_m_resolution :premises (@p657 @p655 @p580) :args (@t239 @t73 (@list @t238 @t240))) % 159.23/159.40 (step @p659 :rule instantiate :premises (@p8) :args ((@list @t33 @t31))) % 159.23/159.40 (step @p660 :rule refl :args (@t262)) % 159.23/159.40 (step @p661 :rule bool-double-not-elim :args (@t264)) % 159.23/159.40 (step @p662 :rule refl :args (@t266)) % 159.23/159.40 (step @p663 :rule nary_cong :premises (@p662 @p661 @p660) :args ((or @t266 (not @t267) @t262))) % 159.23/159.40 (assume-push @p951 @t265) % 159.23/159.40 (assume-push @p952 @t267) % 159.23/159.40 (assume-push @p953 @t267) % 159.23/159.40 (assume-push @p954 @t265) % 159.23/159.40 (step @p668 :rule false_intro :premises (@p952)) % 159.23/159.40 (step @p562 :rule refl :args (@t30)) % 159.23/159.40 (step @p669 :rule cong :premises (@p562 @p659) :args (@t239)) % 159.23/159.40 (step @p670 :rule trans :premises (@p669 @p668)) % 159.23/159.40 (step @p671 :rule false_elim :premises (@p670)) % 159.23/159.40 (step-pop @p955 :rule scope :premises (@p671)) % 159.23/159.40 (step-pop @p956 :rule scope :premises (@p955)) % 159.23/159.40 (step @p672 :rule process_scope :premises (@p956) :args (@t262)) % 159.23/159.40 (step @p675 :rule and_intro :premises (@p952 @p659)) % 159.23/159.40 (step @p676 :rule modus_ponens :premises (@p675 @p672)) % 159.23/159.40 (step-pop @p957 :rule scope :premises (@p676)) % 159.23/159.40 (step-pop @p958 :rule scope :premises (@p957)) % 159.23/159.40 (step @p677 :rule process_scope :premises (@p958) :args (@t262)) % 159.23/159.40 (step @p680 :rule implies_elim :premises (@p677)) % 159.23/159.40 (step @p681 :rule cnf_and_neg :args (@t268)) % 159.23/159.40 (step @p682 :rule resolution :premises (@p681 @p680) :args (true @t268)) % 159.23/159.40 (step @p683 :rule eq_resolve :premises (@p682 @p663)) % 159.23/159.40 (step @p684 :rule reordering :premises (@p683) :args ((or @t266 @t262 @t264))) % 159.23/159.40 (step @p685 :rule chain_m_resolution :premises (@p684 @p659 @p658) :args (@t264 @t56 (@list @t265 @t239))) % 159.23/159.40 (step @p686 :rule cnf_equiv_pos1 :args (@t272)) % 159.23/159.40 (step @p687 :rule reordering :premises (@p686) :args ((or @t271 @t267 (not @t272)))) % 159.23/159.40 (step @p688 :rule chain_m_resolution :premises (@p687 @p685 @p171) :args (@t271 @t56 (@list @t264 @t272))) % 159.23/159.40 (step @p689 :rule eq-symm :args (@t30 @t27)) % 159.23/159.40 (step @p690 :rule refl :args (@t270)) % 159.23/159.40 (step @p691 :rule cong :premises (@p690 @p689) :args ((= @t270 @t273))) % 159.23/159.40 (step @p692 :rule eq-symm :args (@t273 @t270)) % 159.23/159.40 (step @p693 :rule trans :premises (@p692 @p691)) % 159.23/159.40 (step @p694 :rule cong :premises (@p39 @p693) :args ((=> @t47 @t274))) % 159.23/159.40 (assume-push @p959 @t47) % 159.23/159.40 (step @p696 :rule instantiate :premises (@p31) :args ((@list @t30 @t27))) % 159.23/159.40 (step-pop @p960 :rule scope :premises (@p696)) % 159.23/159.40 (step @p697 :rule process_scope :premises (@p960) :args (@t274)) % 159.23/159.40 (step @p699 :rule eq_resolve :premises (@p697 @p694)) % 159.23/159.40 (step @p700 :rule implies_elim :premises (@p699)) % 159.23/159.40 (step @p701 :rule chain_m_resolution :premises (@p700 @p31) :args (@t276 @t49 @t50)) % 159.23/159.40 (assume-push @p961 @t189) % 159.23/159.40 (step @p703 :rule instantiate :premises (@p961) :args (@t226)) % 159.23/159.40 (step-pop @p962 :rule scope :premises (@p703)) % 159.23/159.40 (step @p704 :rule process_scope :premises (@p962) :args (@t278)) % 159.23/159.40 (step @p706 :rule implies_elim :premises (@p704)) % 159.23/159.40 (step @p707 :rule chain_m_resolution :premises (@p706 @p449) :args (@t278 @t49 @t211)) % 159.23/159.40 (step @p708 :rule cnf_or_pos :args (@t278)) % 159.23/159.40 (step @p709 :rule reordering :premises (@p708) :args ((or @t85 @t277 (not @t278)))) % 159.23/159.40 (step @p710 :rule chain_m_resolution :premises (@p709 @p133 @p707) :args (@t277 @t56 (@list @t84 @t278))) % 159.23/159.40 (step @p711 :rule refl :args (@t279)) % 159.23/159.40 (step @p712 :rule refl :args (@t280)) % 159.23/159.40 (step @p713 :rule nary_cong :premises (@p712 @p518 @p711) :args ((or @t280 @t231 @t279))) % 159.23/159.40 (assume-push @p963 @t277) % 159.23/159.40 (assume-push @p964 @t275) % 159.23/159.40 (assume-push @p965 @t89) % 159.23/159.40 (step @p75 :rule evaluate :args (@t68)) % 159.23/159.40 (step @p717 :rule true_intro :premises (@p963)) % 159.23/159.40 (step @p718 :rule symm :premises (@p964)) % 159.23/159.40 (step @p526 :rule refl :args (@t82)) % 159.23/159.40 (step @p719 :rule cong :premises (@p526 @p718) :args (@t83)) % 159.23/159.40 (step @p720 :rule false_intro :premises (@p965)) % 159.23/159.40 (step @p721 :rule symm :premises (@p720)) % 159.23/159.40 (step @p722 :rule trans :premises (@p721 @p719 @p717)) % 159.23/159.40 (step @p723 false :rule eq_resolve :premises (@p722 @p75)) % 159.23/159.40 (step-pop @p966 :rule scope :premises (@p723)) % 159.23/159.40 (step-pop @p967 :rule scope :premises (@p966)) % 159.23/159.40 (step-pop @p968 :rule scope :premises (@p967)) % 159.23/159.40 (step @p724 :rule process_scope :premises (@p968) :args (false)) % 159.23/159.40 (assume-push @p969 @t275) % 159.23/159.40 (assume-push @p970 @t89) % 159.23/159.40 (assume-push @p971 @t277) % 159.23/159.40 (step @p731 :rule and_intro :premises (@p971 @p969 @p970)) % 159.23/159.40 (step-pop @p972 :rule scope :premises (@p731)) % 159.23/159.40 (step-pop @p973 :rule scope :premises (@p972)) % 159.23/159.40 (step-pop @p974 :rule scope :premises (@p973)) % 159.23/159.40 (step @p732 :rule process_scope :premises (@p974) :args (@t281)) % 159.23/159.40 (step @p736 :rule implies_elim :premises (@p732)) % 159.23/159.40 (step @p737 :rule resolution :premises (@p736 @p724) :args (true @t281)) % 159.23/159.40 (step @p738 :rule not_and :premises (@p737)) % 159.23/159.40 (step @p739 :rule eq_resolve :premises (@p738 @p713)) % 159.23/159.40 (step @p740 :rule chain_m_resolution :premises (@p739 @p135 @p710) :args (@t280 @t73 (@list @t83 @t277))) % 159.23/159.40 (step @p741 :rule cnf_equiv_pos1 :args (@t276)) % 159.23/159.40 (step @p742 :rule reordering :premises (@p741) :args ((or @t282 @t275 (not @t276)))) % 159.23/159.40 (step @p743 :rule chain_m_resolution :premises (@p742 @p740 @p701) :args (@t282 @t73 (@list @t275 @t276))) % 159.23/159.40 (step @p744 :rule cnf_or_pos :args (@t271)) % 159.23/159.40 (step @p745 :rule reordering :premises (@p744) :args ((or @t270 @t269 (not @t271)))) % 159.23/159.40 (step @p746 :rule chain_m_resolution :premises (@p745 @p743 @p688) :args (@t269 @t73 (@list @t270 @t271))) % 159.23/159.40 (step @p747 :rule cnf_equiv_pos2 :args (@t284)) % 159.23/159.40 (step @p748 :rule reordering :premises (@p747) :args ((or @t283 (not @t269) (not @t284)))) % 159.23/159.40 (step @p749 :rule chain_m_resolution :premises (@p748 @p746 @p170) :args (@t283 @t56 (@list @t269 @t284))) % 159.23/159.40 (step @p750 :rule refl :args (@t285)) % 159.23/159.40 (step @p751 :rule refl :args (@t286)) % 159.23/159.40 (step @p752 :rule bool-double-not-elim :args (@t90)) % 159.23/159.40 (step @p753 :rule refl :args (@t289)) % 159.23/159.40 (step @p754 :rule refl :args (@t291)) % 159.23/159.40 (step @p755 :rule nary_cong :premises (@p754 @p753 @p752 @p751 @p750) :args ((or @t291 @t289 (not @t292) @t286 @t285))) % 159.23/159.40 (assume-push @p975 @t101) % 159.23/159.40 (assume-push @p976 @t288) % 159.23/159.40 (assume-push @p977 @t290) % 159.23/159.40 (assume-push @p978 @t283) % 159.23/159.40 (assume-push @p979 @t292) % 159.23/159.40 (step @p75 :rule evaluate :args (@t68)) % 159.23/159.40 (step @p761 :rule true_intro :premises (@p169)) % 159.23/159.40 (step @p562 :rule refl :args (@t30)) % 159.23/159.40 (step @p762 :rule cong :premises (@p562 @p251) :args ((tptp.mem @t30 @t31))) % 159.23/159.40 (step @p763 :rule cong :premises (@p562 @p978) :args (@t90)) % 159.23/159.40 (step @p764 :rule false_intro :premises (@p979)) % 159.23/159.40 (step @p765 :rule symm :premises (@p764)) % 159.23/159.40 (step @p766 :rule trans :premises (@p765 @p763 @p762 @p761)) % 159.23/159.40 (step @p767 false :rule eq_resolve :premises (@p766 @p75)) % 159.23/159.40 (step-pop @p980 :rule scope :premises (@p767)) % 159.23/159.40 (step-pop @p981 :rule scope :premises (@p980)) % 159.23/159.40 (step-pop @p982 :rule scope :premises (@p981)) % 159.23/159.40 (step-pop @p983 :rule scope :premises (@p982)) % 159.23/159.40 (step-pop @p984 :rule scope :premises (@p983)) % 159.23/159.40 (step @p768 :rule process_scope :premises (@p984) :args (false)) % 159.23/159.40 (assume-push @p985 @t290) % 159.23/159.40 (assume-push @p986 @t288) % 159.23/159.40 (assume-push @p987 @t292) % 159.23/159.40 (assume-push @p988 @t283) % 159.23/159.40 (assume-push @p989 @t101) % 159.23/159.40 (step @p779 :rule and_intro :premises (@p169 @p249 @p250 @p988 @p987)) % 159.23/159.40 (step-pop @p990 :rule scope :premises (@p779)) % 159.23/159.40 (step-pop @p991 :rule scope :premises (@p990)) % 159.23/159.40 (step-pop @p992 :rule scope :premises (@p991)) % 159.23/159.40 (step-pop @p993 :rule scope :premises (@p992)) % 159.23/159.40 (step-pop @p994 :rule scope :premises (@p993)) % 159.23/159.40 (step @p780 :rule process_scope :premises (@p994) :args (@t293)) % 159.23/159.40 (step @p786 :rule implies_elim :premises (@p780)) % 159.23/159.40 (step @p787 :rule resolution :premises (@p786 @p768) :args (true @t293)) % 159.23/159.40 (step @p788 :rule not_and :premises (@p787)) % 159.23/159.40 (step @p789 :rule eq_resolve :premises (@p788 @p755)) % 159.23/159.40 (step @p790 :rule chain_m_resolution :premises (@p789 @p250 @p249 @p749 @p169) :args (@t90 (@list false false false false) (@list @t290 @t288 @t283 @t101))) % 159.23/159.40 (step @p791 :rule cnf_equiv_pos1 :args (@t94)) % 159.23/159.40 (step @p792 :rule reordering :premises (@p791) :args ((or @t292 @t93 (not @t94)))) % 159.23/159.40 (step @p793 :rule chain_m_resolution :premises (@p792 @p790 @p148) :args (@t93 @t56 (@list @t90 @t94))) % 159.23/159.40 (step @p794 :rule refl :args (@t85)) % 159.23/159.40 (step @p795 :rule refl :args (@t294)) % 159.23/159.40 (step @p796 :rule nary_cong :premises (@p795 @p794 @p518) :args ((or @t294 @t85 @t231))) % 159.23/159.40 (assume-push @p995 @t89) % 159.23/159.40 (assume-push @p996 @t93) % 159.23/159.40 (assume-push @p997 @t84) % 159.23/159.40 (step @p628 :rule evaluate :args (@t259)) % 159.23/159.40 (step @p800 :rule false_intro :premises (@p995)) % 159.23/159.40 (step @p526 :rule refl :args (@t82)) % 159.23/159.40 (step @p801 :rule cong :premises (@p526 @p996) :args (@t84)) % 159.23/159.40 (step @p802 :rule true_intro :premises (@p997)) % 159.23/159.40 (step @p803 :rule symm :premises (@p802)) % 159.23/159.40 (step @p804 :rule trans :premises (@p803 @p801 @p800)) % 159.23/159.40 (step @p805 false :rule eq_resolve :premises (@p804 @p628)) % 159.23/159.40 (step-pop @p998 :rule scope :premises (@p805)) % 159.23/159.40 (step-pop @p999 :rule scope :premises (@p998)) % 159.23/159.40 (step-pop @p1000 :rule scope :premises (@p999)) % 159.23/159.40 (step @p806 :rule process_scope :premises (@p1000) :args (false)) % 159.23/159.40 (assume-push @p1001 @t93) % 159.23/159.40 (assume-push @p1002 @t84) % 159.23/159.40 (assume-push @p1003 @t89) % 159.23/159.40 (step @p813 :rule and_intro :premises (@p1003 @p1001 @p1002)) % 159.23/159.40 (step-pop @p1004 :rule scope :premises (@p813)) % 159.23/159.40 (step-pop @p1005 :rule scope :premises (@p1004)) % 159.23/159.40 (step-pop @p1006 :rule scope :premises (@p1005)) % 159.23/159.40 (step @p814 :rule process_scope :premises (@p1006) :args (@t295)) % 159.23/159.40 (step @p818 :rule implies_elim :premises (@p814)) % 159.23/159.40 (step @p819 :rule resolution :premises (@p818 @p806) :args (true @t295)) % 159.23/159.40 (step @p820 :rule not_and :premises (@p819)) % 159.23/159.40 (step @p821 :rule eq_resolve :premises (@p820 @p796)) % 159.23/159.40 (step @p822 false :rule chain_m_resolution :premises (@p821 @p793 @p135 @p133) :args (false (@list false true false) (@list @t93 @t83 @t84))) % 159.23/159.40 ) % 159.23/159.40 % SZS output end Proof % 159.23/159.40 % cvc5 exiting %------------------------------------------------------------------------------