%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV554+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 : n012.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 08:56:06 AM UTC 2026 % Result : Theorem 38.02s 38.21s % Output : Proof 38.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEV554+1 : TPTP v9.2.1. Released v9.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 18:38:03 EDT 2026 % 0.06/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 38.02/38.21 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 38.02/38.21 --- Run --no-e-matching --full-saturate-quant at 6... % 38.02/38.21 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 38.02/38.21 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 38.02/38.21 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 38.02/38.21 % SZS status Theorem % 38.02/38.21 % SZS output start Proof % 38.02/38.21 ( % 38.02/38.21 (declare-sort $$unsorted 0) % 38.02/38.21 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 38.02/38.21 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 38.02/38.21 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 38.02/38.21 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 38.02/38.21 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 38.02/38.21 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 38.02/38.21 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 38.02/38.21 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 38.02/38.21 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 38.02/38.21 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 38.02/38.21 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 38.02/38.21 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 38.02/38.21 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 38.02/38.21 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 38.02/38.21 (declare-const tptp.e $$unsorted) % 38.02/38.21 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 38.02/38.21 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 38.02/38.21 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 38.02/38.21 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 38.02/38.21 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 38.02/38.21 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 38.02/38.21 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 38.02/38.21 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 38.02/38.21 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 38.02/38.21 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 38.02/38.21 (define @t1 () (@var "Y" $$unsorted)) % 38.02/38.21 (define @t2 () (@var "Z" $$unsorted)) % 38.02/38.21 (define @t3 () (tptp.mem @t2 @t1)) % 38.02/38.21 (define @t4 () (@var "X" $$unsorted)) % 38.02/38.21 (define @t5 () (tptp.mem @t2 @t4)) % 38.02/38.21 (define @t6 () (@list @t2)) % 38.02/38.21 (define @t7 () (forall @t6 (=> @t5 @t3))) % 38.02/38.21 (define @t8 () (tptp.subq @t4 @t1)) % 38.02/38.21 (define @t9 () (= @t8 @t7)) % 38.02/38.21 (define @t10 () (@list @t4 @t1)) % 38.02/38.21 (define @t11 () (forall @t10 @t9)) % 38.02/38.21 (define @t12 () (= @t4 @t1)) % 38.02/38.21 (define @t13 () (tptp.subq @t1 @t4)) % 38.02/38.21 (define @t14 () (=> @t13 @t12)) % 38.02/38.21 (define @t15 () (forall @t10 (=> @t8 @t14))) % 38.02/38.21 (define @t16 () (and @t5 @t3)) % 38.02/38.21 (define @t17 () (exists @t6 @t16)) % 38.02/38.21 (define @t18 () (not @t17)) % 38.02/38.21 (define @t19 () (tptp.disj @t4 @t1)) % 38.02/38.21 (define @t20 () (= @t19 @t18)) % 38.02/38.21 (define @t21 () (forall @t10 @t20)) % 38.02/38.21 (define @t22 () (@list @t4)) % 38.02/38.21 (define @t23 () (tptp.s @t1)) % 38.02/38.21 (define @t24 () (tptp.mem @t4 @t23)) % 38.02/38.21 (define @t25 () (forall @t10 (= @t24 @t12))) % 38.02/38.21 (define @t26 () (tptp.mem @t4 @t2)) % 38.02/38.21 (define @t27 () (tptp.mem @t4 @t1)) % 38.02/38.21 (define @t28 () (@list @t4 @t1 @t2)) % 38.02/38.21 (define @t29 () (tptp.p @t1)) % 38.02/38.21 (define @t30 () (tptp.mem @t4 @t29)) % 38.02/38.21 (define @t31 () (forall @t10 (= @t30 @t8))) % 38.02/38.21 (define @t32 () (@list @t1)) % 38.02/38.21 (define @t33 () (not @t8)) % 38.02/38.21 (define @t34 () (tptp.n tptp.e)) % 38.02/38.21 (define @t35 () (tptp.n @t34)) % 38.02/38.21 (define @t36 () (tptp.s @t34)) % 38.02/38.21 (define @t37 () (tptp.s @t36)) % 38.02/38.21 (define @t38 () (tptp.a @t37 @t35)) % 38.02/38.21 (define @t39 () (tptp.n @t36)) % 38.02/38.21 (define @t40 () (tptp.u @t34 @t39)) % 38.02/38.21 (define @t41 () (tptp.s @t40)) % 38.02/38.21 (define @t42 () (tptp.a @t41 @t38)) % 38.02/38.21 (define @t43 () (tptp.s @t35)) % 38.02/38.21 (define @t44 () (tptp.u @t36 (tptp.p @t43))) % 38.02/38.21 (define @t45 () (tptp.n @t35)) % 38.02/38.21 (define @t46 () (tptp.s @t45)) % 38.02/38.21 (define @t47 () (tptp.p @t45)) % 38.02/38.21 (define @t48 () (tptp.m @t47 @t46)) % 38.02/38.21 (define @t49 () (tptp.m @t48 @t44)) % 38.02/38.21 (define @t50 () (tptp.disj @t49 @t42)) % 38.02/38.21 (define @t51 () (@list @t34)) % 38.02/38.21 (define @t52 () (@list tptp.e @t34)) % 38.02/38.21 (define @t53 () (tptp.mem tptp.e @t36)) % 38.02/38.21 (define @t54 () (= tptp.e @t34)) % 38.02/38.21 (define @t55 () (= @t54 @t53)) % 38.02/38.21 (define @t56 () (not @t53)) % 38.02/38.21 (define @t57 () (not @t13)) % 38.02/38.21 (define @t58 () (or @t33 @t57 @t12)) % 38.02/38.21 (define @t59 () (tptp.mem @t2 @t34)) % 38.02/38.21 (define @t60 () (tptp.mem @t2 tptp.e)) % 38.02/38.21 (define @t61 () (forall @t6 (or (not @t60) @t59))) % 38.02/38.21 (define @t62 () (@quantifiers_skolemize @t61 0)) % 38.02/38.21 (define @t63 () (tptp.mem @t62 tptp.e)) % 38.02/38.21 (define @t64 () (not @t63)) % 38.02/38.21 (define @t65 () (or @t64 (tptp.mem @t62 @t34))) % 38.02/38.21 (define @t66 () (@list true)) % 38.02/38.21 (define @t67 () (not @t65)) % 38.02/38.21 (define @t68 () (not @t61)) % 38.02/38.21 (define @t69 () (@list false)) % 38.02/38.21 (define @t70 () (tptp.subq tptp.e @t34)) % 38.02/38.21 (define @t71 () (= @t70 @t61)) % 38.02/38.21 (define @t72 () (@list false false)) % 38.02/38.21 (define @t73 () (tptp.subq @t34 tptp.e)) % 38.02/38.21 (define @t74 () (not @t73)) % 38.02/38.21 (define @t75 () (not @t70)) % 38.02/38.21 (define @t76 () (or @t75 @t74 @t54)) % 38.02/38.21 (define @t77 () (@list @t34 tptp.e)) % 38.02/38.21 (define @t78 () (forall @t6 (or (not @t59) @t60))) % 38.02/38.21 (define @t79 () (= @t73 @t78)) % 38.02/38.21 (define @t80 () (not @t78)) % 38.02/38.21 (define @t81 () (@quantifiers_skolemize @t78 0)) % 38.02/38.21 (define @t82 () (tptp.mem @t81 tptp.e)) % 38.02/38.21 (define @t83 () (tptp.mem @t81 @t34)) % 38.02/38.21 (define @t84 () (not @t83)) % 38.02/38.21 (define @t85 () (or @t84 @t82)) % 38.02/38.21 (define @t86 () (not @t85)) % 38.02/38.21 (define @t87 () (@list @t34 @t34)) % 38.02/38.21 (define @t88 () (tptp.mem @t36 @t43)) % 38.02/38.21 (define @t89 () (= @t36 @t35)) % 38.02/38.21 (define @t90 () (forall @t10 (= @t12 @t24))) % 38.02/38.21 (define @t91 () (= @t89 @t88)) % 38.02/38.21 (define @t92 () (= @t35 @t36)) % 38.02/38.21 (define @t93 () (= @t88 @t92)) % 38.02/38.21 (define @t94 () (@list @t90)) % 38.02/38.21 (define @t95 () (forall @t6 (or (not (tptp.mem @t2 @t49)) (not (tptp.mem @t2 @t42))))) % 38.02/38.21 (define @t96 () (@quantifiers_skolemize @t95 0)) % 38.02/38.21 (define @t97 () (@list @t96 @t45)) % 38.02/38.21 (define @t98 () (tptp.subq @t96 @t45)) % 38.02/38.21 (define @t99 () (tptp.mem @t96 @t47)) % 38.02/38.21 (define @t100 () (forall @t10 (= @t8 @t30))) % 38.02/38.21 (define @t101 () (= @t98 @t99)) % 38.02/38.21 (define @t102 () (= @t99 @t98)) % 38.02/38.21 (define @t103 () (forall @t6 (not @t16))) % 38.02/38.21 (define @t104 () (not @t103)) % 38.02/38.21 (define @t105 () (= @t50 @t95)) % 38.02/38.21 (define @t106 () (not @t95)) % 38.02/38.21 (define @t107 () (@list true false)) % 38.02/38.21 (define @t108 () (tptp.mem @t96 @t49)) % 38.02/38.21 (define @t109 () (tptp.mem @t96 @t42)) % 38.02/38.21 (define @t110 () (not @t109)) % 38.02/38.21 (define @t111 () (not @t108)) % 38.02/38.21 (define @t112 () (or @t111 @t110)) % 38.02/38.21 (define @t113 () (@list @t112)) % 38.02/38.21 (define @t114 () (tptp.mem @t96 @t48)) % 38.02/38.21 (define @t115 () (and @t114 (not (tptp.mem @t96 @t44)))) % 38.02/38.21 (define @t116 () (= @t108 @t115)) % 38.02/38.21 (define @t117 () (tptp.mem @t96 @t46)) % 38.02/38.21 (define @t118 () (not @t117)) % 38.02/38.21 (define @t119 () (and @t99 @t118)) % 38.02/38.21 (define @t120 () (= @t114 @t119)) % 38.02/38.21 (define @t121 () (not @t119)) % 38.02/38.21 (define @t122 () (@list @t119)) % 38.02/38.21 (define @t123 () (tptp.mem @t2 @t45)) % 38.02/38.21 (define @t124 () (tptp.mem @t2 @t96)) % 38.02/38.21 (define @t125 () (forall @t6 (or (not @t124) @t123))) % 38.02/38.21 (define @t126 () (= @t98 @t125)) % 38.02/38.21 (define @t127 () (not @t98)) % 38.02/38.21 (define @t128 () (@list @t36)) % 38.02/38.21 (define @t129 () (tptp.mem @t36 @t37)) % 38.02/38.21 (define @t130 () (= @t36 @t36)) % 38.02/38.21 (define @t131 () (= @t130 @t129)) % 38.02/38.21 (define @t132 () (@list @t36 @t36)) % 38.02/38.21 (define @t133 () (or @t129 @t88)) % 38.02/38.21 (define @t134 () (@list @t129)) % 38.02/38.21 (define @t135 () (tptp.u @t37 @t43)) % 38.02/38.21 (define @t136 () (tptp.mem @t36 @t135)) % 38.02/38.21 (define @t137 () (= @t136 @t133)) % 38.02/38.21 (define @t138 () (tptp.s @t38)) % 38.02/38.21 (define @t139 () (tptp.mem @t96 @t138)) % 38.02/38.21 (define @t140 () (= @t96 @t38)) % 38.02/38.21 (define @t141 () (= @t140 @t139)) % 38.02/38.21 (define @t142 () (= @t38 @t96)) % 38.02/38.21 (define @t143 () (= @t139 @t142)) % 38.02/38.21 (define @t144 () (tptp.mem @t96 (tptp.u @t41 @t138))) % 38.02/38.21 (define @t145 () (tptp.mem @t96 @t41)) % 38.02/38.21 (define @t146 () (or @t145 @t139)) % 38.02/38.21 (define @t147 () (= @t144 @t146)) % 38.02/38.21 (define @t148 () (= @t96 @t40)) % 38.02/38.21 (define @t149 () (= @t148 @t145)) % 38.02/38.21 (define @t150 () (= @t40 @t96)) % 38.02/38.21 (define @t151 () (= @t145 @t150)) % 38.02/38.21 (define @t152 () (tptp.mem @t36 @t36)) % 38.02/38.21 (define @t153 () (or @t152 @t129)) % 38.02/38.21 (define @t154 () (tptp.mem @t36 (tptp.u @t36 @t37))) % 38.02/38.21 (define @t155 () (= @t154 @t153)) % 38.02/38.21 (define @t156 () (tptp.mem @t36 @t39)) % 38.02/38.21 (define @t157 () (tptp.mem @t36 @t34)) % 38.02/38.21 (define @t158 () (or @t157 @t156)) % 38.02/38.21 (define @t159 () (tptp.mem @t36 @t40)) % 38.02/38.21 (define @t160 () (= @t159 @t158)) % 38.02/38.21 (define @t161 () (tptp.mem @t36 @t96)) % 38.02/38.21 (define @t162 () (and @t150 @t159)) % 38.02/38.21 (define @t163 () (not @t150)) % 38.02/38.21 (define @t164 () (tptp.subq @t45 @t96)) % 38.02/38.21 (define @t165 () (not @t164)) % 38.02/38.21 (define @t166 () (= @t96 @t45)) % 38.02/38.21 (define @t167 () (or @t127 @t165 @t166)) % 38.02/38.21 (define @t168 () (forall @t10 @t58)) % 38.02/38.21 (define @t169 () (= @t45 @t96)) % 38.02/38.21 (define @t170 () (or @t127 @t165 @t169)) % 38.02/38.21 (define @t171 () (= @t166 @t117)) % 38.02/38.21 (define @t172 () (= @t117 @t169)) % 38.02/38.21 (define @t173 () (not @t169)) % 38.02/38.21 (define @t174 () (forall @t6 (or (not @t123) @t124))) % 38.02/38.21 (define @t175 () (= @t164 @t174)) % 38.02/38.21 (define @t176 () (not @t174)) % 38.02/38.21 (define @t177 () (@quantifiers_skolemize @t174 0)) % 38.02/38.21 (define @t178 () (tptp.mem @t177 @t96)) % 38.02/38.21 (define @t179 () (tptp.mem @t177 @t45)) % 38.02/38.21 (define @t180 () (not @t179)) % 38.02/38.21 (define @t181 () (or @t180 @t178)) % 38.02/38.21 (define @t182 () (not @t178)) % 38.02/38.21 (define @t183 () (@list @t181)) % 38.02/38.21 (define @t184 () (tptp.mem @t177 @t40)) % 38.02/38.21 (define @t185 () (not @t184)) % 38.02/38.21 (define @t186 () (and @t150 @t182)) % 38.02/38.21 (define @t187 () (tptp.mem @t36 @t45)) % 38.02/38.21 (define @t188 () (not @t161)) % 38.02/38.21 (define @t189 () (or @t188 @t187)) % 38.02/38.21 (define @t190 () (tptp.mem @t177 @t39)) % 38.02/38.21 (define @t191 () (or (tptp.mem @t177 @t34) @t190)) % 38.02/38.21 (define @t192 () (= @t184 @t191)) % 38.02/38.21 (define @t193 () (tptp.a @t35 @t35)) % 38.02/38.21 (define @t194 () (= @t45 @t193)) % 38.02/38.21 (define @t195 () (tptp.u @t35 @t43)) % 38.02/38.21 (define @t196 () (= @t193 @t195)) % 38.02/38.21 (define @t197 () (tptp.mem @t36 @t195)) % 38.02/38.21 (define @t198 () (and @t194 @t196 @t187)) % 38.02/38.21 (define @t199 () (tptp.mem @t36 @t35)) % 38.02/38.21 (define @t200 () (or @t199 @t88)) % 38.02/38.21 (define @t201 () (= @t197 @t200)) % 38.02/38.21 (define @t202 () (= @t36 @t34)) % 38.02/38.21 (define @t203 () (= @t202 @t152)) % 38.02/38.21 (define @t204 () (= @t34 @t36)) % 38.02/38.21 (define @t205 () (= @t152 @t204)) % 38.02/38.21 (define @t206 () (not @t152)) % 38.02/38.21 (define @t207 () (tptp.s tptp.e)) % 38.02/38.21 (define @t208 () (tptp.mem @t36 @t207)) % 38.02/38.21 (define @t209 () (= @t36 tptp.e)) % 38.02/38.21 (define @t210 () (= @t209 @t208)) % 38.02/38.21 (define @t211 () (= tptp.e @t36)) % 38.02/38.21 (define @t212 () (= @t208 @t211)) % 38.02/38.21 (define @t213 () (tptp.mem @t34 @t36)) % 38.02/38.21 (define @t214 () (= @t34 @t34)) % 38.02/38.21 (define @t215 () (= @t214 @t213)) % 38.02/38.21 (define @t216 () (not @t211)) % 38.02/38.21 (define @t217 () (not @t213)) % 38.02/38.21 (define @t218 () (tptp.mem @t34 tptp.e)) % 38.02/38.21 (define @t219 () (not @t218)) % 38.02/38.21 (define @t220 () (not @t219)) % 38.02/38.21 (define @t221 () (= true false)) % 38.02/38.21 (define @t222 () (and @t219 @t211 @t213)) % 38.02/38.21 (define @t223 () (not @t208)) % 38.02/38.21 (define @t224 () (tptp.mem @t36 tptp.e)) % 38.02/38.21 (define @t225 () (or @t224 @t208)) % 38.02/38.21 (define @t226 () (not @t225)) % 38.02/38.21 (define @t227 () (@list true true)) % 38.02/38.21 (define @t228 () (tptp.u tptp.e @t207)) % 38.02/38.21 (define @t229 () (tptp.mem @t36 @t228)) % 38.02/38.21 (define @t230 () (= @t229 @t225)) % 38.02/38.21 (define @t231 () (not @t229)) % 38.02/38.21 (define @t232 () (not @t204)) % 38.02/38.21 (define @t233 () (tptp.a tptp.e tptp.e)) % 38.02/38.21 (define @t234 () (= @t233 @t228)) % 38.02/38.21 (define @t235 () (not @t234)) % 38.02/38.21 (define @t236 () (= @t34 @t233)) % 38.02/38.21 (define @t237 () (not @t236)) % 38.02/38.21 (define @t238 () (not @t231)) % 38.02/38.21 (define @t239 () (and @t231 @t234 @t236 @t204 @t152)) % 38.02/38.21 (define @t240 () (not @t157)) % 38.02/38.21 (define @t241 () (and @t236 @t234 @t231)) % 38.02/38.21 (define @t242 () (@list false false true)) % 38.02/38.21 (define @t243 () (or @t157 @t152)) % 38.02/38.21 (define @t244 () (not @t243)) % 38.02/38.21 (define @t245 () (tptp.u @t34 @t36)) % 38.02/38.21 (define @t246 () (tptp.mem @t36 @t245)) % 38.02/38.21 (define @t247 () (= @t246 @t243)) % 38.02/38.21 (define @t248 () (not @t246)) % 38.02/38.21 (define @t249 () (not @t199)) % 38.02/38.21 (define @t250 () (tptp.a @t34 @t34)) % 38.02/38.21 (define @t251 () (= @t250 @t245)) % 38.02/38.21 (define @t252 () (not @t251)) % 38.02/38.21 (define @t253 () (= @t35 @t250)) % 38.02/38.21 (define @t254 () (not @t253)) % 38.02/38.21 (define @t255 () (and @t253 @t251 @t248)) % 38.02/38.21 (define @t256 () (not @t92)) % 38.02/38.21 (define @t257 () (not @t190)) % 38.02/38.21 (define @t258 () (and @t257 @t92 @t179)) % 38.02/38.21 (define @t259 () (not @t145)) % 38.02/38.21 (define @t260 () (= @t38 @t135)) % 38.02/38.21 (define @t261 () (and @t260 @t142 @t136)) % 38.02/38.21 (define @t262 () (@list false false false)) % 38.02/38.21 (define @t263 () (tptp.mem tptp.e @t245)) % 38.02/38.21 (define @t264 () (not @t263)) % 38.02/38.21 (define @t265 () (and @t253 @t251 @t56 @t92)) % 38.02/38.21 (define @t266 () (tptp.mem @t81 @t228)) % 38.02/38.21 (define @t267 () (and @t236 @t234 @t83)) % 38.02/38.21 (define @t268 () (tptp.mem tptp.e @t34)) % 38.02/38.21 (define @t269 () (or @t268 @t53)) % 38.02/38.21 (define @t270 () (= @t263 @t269)) % 38.02/38.21 (define @t271 () (tptp.mem @t81 @t207)) % 38.02/38.21 (define @t272 () (or @t82 @t271)) % 38.02/38.21 (define @t273 () (= @t266 @t272)) % 38.02/38.21 (define @t274 () (not @t268)) % 38.02/38.21 (define @t275 () (= @t81 tptp.e)) % 38.02/38.21 (define @t276 () (= @t275 @t271)) % 38.02/38.21 (define @t277 () (= tptp.e @t81)) % 38.02/38.21 (define @t278 () (= @t271 @t277)) % 38.02/38.21 (define @t279 () (not @t277)) % 38.02/38.21 (define @t280 () (and @t274 @t277 @t83)) % 38.02/38.21 (define @t281 () (tptp.mem @t34 @t207)) % 38.02/38.21 (define @t282 () (= (= @t34 tptp.e) @t281)) % 38.02/38.21 (define @t283 () (= @t54 @t281)) % 38.02/38.21 (define @t284 () (not @t54)) % 38.02/38.21 (define @t285 () (or @t218 @t281)) % 38.02/38.21 (define @t286 () (tptp.mem @t34 @t228)) % 38.02/38.21 (define @t287 () (= @t286 @t285)) % 38.02/38.21 (define @t288 () (not @t286)) % 38.02/38.21 (define @t289 () (and @t236 @t234 @t54 @t219)) % 38.02/38.21 (assume @p1 @t11) % 38.02/38.21 (assume @p2 @t15) % 38.02/38.21 (assume @p3 @t21) % 38.02/38.21 (assume @p4 (forall @t22 (not (tptp.mem @t4 tptp.e)))) % 38.02/38.21 (assume @p5 @t25) % 38.02/38.21 (assume @p6 (forall @t28 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t27 @t26)))) % 38.02/38.21 (assume @p7 (forall @t28 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t27 (not @t26))))) % 38.02/38.21 (assume @p8 (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t23)))) % 38.02/38.21 (assume @p9 (forall @t22 (= (tptp.n @t4) (tptp.a @t4 @t4)))) % 38.02/38.21 (assume @p10 @t31) % 38.02/38.21 (assume @p11 (forall @t22 (= (tptp.atleast2p @t4) (exists @t32 (and (tptp.mem @t1 @t4) (not (tptp.subq @t4 @t29))))))) % 38.02/38.21 (assume @p12 (forall @t22 (= (tptp.atleast3p @t4) (exists @t32 (and @t13 (tptp.atleast2p @t1) @t33))))) % 38.02/38.21 (assume @p13 (forall @t22 (= (tptp.atleast4p @t4) (exists @t32 (and @t13 (tptp.atleast3p @t1) @t33))))) % 38.02/38.21 (assume @p14 (forall @t22 (= (tptp.atleast5p @t4) (exists @t32 (and @t13 (tptp.atleast4p @t1) @t33))))) % 38.02/38.21 (assume @p15 (forall @t22 (= (tptp.atleast6p @t4) (exists @t32 (and @t13 (tptp.atleast5p @t1) @t33))))) % 38.02/38.21 (assume @p16 (forall @t22 (= (tptp.atleast7p @t4) (exists @t32 (and @t13 (tptp.atleast6p @t1) @t33))))) % 38.02/38.21 (assume @p17 (forall @t22 (= (tptp.atleast8p @t4) (exists @t32 (and @t13 (tptp.atleast7p @t1) @t33))))) % 38.02/38.21 (assume @p18 (forall @t22 (= (tptp.atleast9p @t4) (exists @t32 (and @t13 (tptp.atleast8p @t1) @t33))))) % 38.02/38.21 (assume @p19 (forall @t22 (= (tptp.atleast10p @t4) (exists @t32 (and @t13 (tptp.atleast9p @t1) @t33))))) % 38.02/38.21 (assume @p20 (forall @t22 (= (tptp.atleast11p @t4) (exists @t32 (and @t13 (tptp.atleast10p @t1) @t33))))) % 38.02/38.21 (assume @p21 (forall @t22 (= (tptp.atleast12p @t4) (exists @t32 (and @t13 (tptp.atleast11p @t1) @t33))))) % 38.02/38.21 (assume @p22 (forall @t22 (= (tptp.atleast13p @t4) (exists @t32 (and @t13 (tptp.atleast12p @t1) @t33))))) % 38.02/38.21 (assume @p23 (forall @t22 (= (tptp.atleast14p @t4) (exists @t32 (and @t13 (tptp.atleast13p @t1) @t33))))) % 38.02/38.21 (assume @p24 (forall @t22 (= (tptp.atleast15p @t4) (exists @t32 (and @t13 (tptp.atleast14p @t1) @t33))))) % 38.02/38.21 (assume @p25 (forall @t22 (= (tptp.atleast16p @t4) (exists @t32 (and @t13 (tptp.atleast15p @t1) @t33))))) % 38.02/38.21 (assume @p26 (not @t50)) % 38.02/38.21 (assume @p27 true) % 38.02/38.21 (step @p28 :rule instantiate :premises (@p9) :args ((@list tptp.e))) % 38.02/38.21 (step @p29 :rule instantiate :premises (@p8) :args ((@list tptp.e tptp.e))) % 38.02/38.21 (step @p30 :rule instantiate :premises (@p4) :args (@t51)) % 38.02/38.21 (step @p31 :rule eq-symm :args (@t24 @t12)) % 38.02/38.21 (step @p32 :rule cong :premises (@p31) :args (@t25)) % 38.02/38.21 (step @p33 :rule eq_resolve :premises (@p5 @p32)) % 38.02/38.21 (step @p34 :rule instantiate :premises (@p33) :args (@t52)) % 38.02/38.21 (step @p35 :rule cnf_equiv_pos2 :args (@t55)) % 38.02/38.21 (step @p36 :rule reordering :premises (@p35) :args ((or @t54 @t56 (not @t55)))) % 38.02/38.21 (step @p37 :rule aci_norm :args ((= (or @t33 (or @t57 @t12)) @t58))) % 38.02/38.21 (step @p38 :rule bool-impl-elim :args (@t13 @t12)) % 38.02/38.21 (step @p39 :rule refl :args (@t33)) % 38.02/38.21 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t33 @t14))) % 38.02/38.21 (step @p41 :rule trans :premises (@p40 @p37)) % 38.02/38.21 (step @p42 :rule bool-impl-elim :args (@t8 @t14)) % 38.02/38.21 (step @p43 :rule trans :premises (@p42 @p41)) % 38.02/38.21 (step @p44 :rule cong :premises (@p43) :args (@t15)) % 38.02/38.21 (step @p45 :rule eq_resolve :premises (@p2 @p44)) % 38.02/38.21 (step @p46 :rule instantiate :premises (@p45) :args (@t52)) % 38.02/38.21 (step @p47 :rule bool-impl-elim :args (@t5 @t3)) % 38.02/38.21 (step @p48 :rule cong :premises (@p47) :args (@t7)) % 38.02/38.21 (step @p49 :rule refl :args (@t8)) % 38.02/38.21 (step @p50 :rule cong :premises (@p49 @p48) :args (@t9)) % 38.02/38.21 (step @p51 :rule cong :premises (@p50) :args (@t11)) % 38.02/38.21 (step @p52 :rule eq_resolve :premises (@p1 @p51)) % 38.02/38.21 (step @p53 :rule instantiate :premises (@p52) :args (@t52)) % 38.02/38.21 (step @p54 :rule instantiate :premises (@p4) :args ((@list @t62))) % 38.02/38.21 (step @p55 :rule bool-double-not-elim :args (@t63)) % 38.02/38.21 (step @p56 :rule refl :args (@t65)) % 38.02/38.21 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t65 (not @t64)))) % 38.02/38.21 (step @p58 :rule cnf_or_neg :args (@t65 0)) % 38.02/38.21 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 38.02/38.21 (step @p60 :rule reordering :premises (@p59) :args ((or @t63 @t65))) % 38.02/38.21 (step @p61 :rule chain_m_resolution :premises (@p60 @p54) :args (@t65 @t66 (@list @t63))) % 38.02/38.21 (step @p62 :rule refl :args (@t67)) % 38.02/38.21 (step @p63 :rule bool-double-not-elim :args (@t61)) % 38.02/38.21 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or (not @t68) @t67))) % 38.02/38.21 (assume-push @p833 @t68) % 38.02/38.21 (step @p66 :rule skolemize :premises (@p833)) % 38.02/38.21 (step-pop @p834 :rule scope :premises (@p66)) % 38.02/38.21 (step @p67 :rule process_scope :premises (@p834) :args (@t67)) % 38.02/38.21 (step @p69 :rule implies_elim :premises (@p67)) % 38.02/38.21 (step @p70 :rule eq_resolve :premises (@p69 @p64)) % 38.02/38.21 (step @p71 :rule chain_m_resolution :premises (@p70 @p61) :args (@t61 @t69 (@list @t65))) % 38.02/38.21 (step @p72 :rule cnf_equiv_pos2 :args (@t71)) % 38.02/38.21 (step @p73 :rule reordering :premises (@p72) :args ((or @t70 @t68 (not @t71)))) % 38.02/38.21 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p53) :args (@t70 @t72 (@list @t61 @t71))) % 38.02/38.21 (step @p75 :rule cnf_or_pos :args (@t76)) % 38.02/38.21 (step @p76 :rule reordering :premises (@p75) :args ((or @t54 @t75 @t74 (not @t76)))) % 38.02/38.21 (step @p77 :rule instantiate :premises (@p52) :args (@t77)) % 38.02/38.21 (step @p78 :rule cnf_equiv_pos2 :args (@t79)) % 38.02/38.21 (step @p79 :rule reordering :premises (@p78) :args ((or @t73 @t80 (not @t79)))) % 38.02/38.21 (step @p80 :rule refl :args (@t86)) % 38.02/38.21 (step @p81 :rule bool-double-not-elim :args (@t78)) % 38.02/38.21 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or (not @t80) @t86))) % 38.02/38.21 (assume-push @p835 @t80) % 38.02/38.21 (step @p84 :rule skolemize :premises (@p835)) % 38.02/38.21 (step-pop @p836 :rule scope :premises (@p84)) % 38.02/38.21 (step @p85 :rule process_scope :premises (@p836) :args (@t86)) % 38.02/38.21 (step @p87 :rule implies_elim :premises (@p85)) % 38.02/38.21 (step @p88 :rule eq_resolve :premises (@p87 @p82)) % 38.02/38.21 (step @p89 :rule bool-double-not-elim :args (@t83)) % 38.02/38.21 (step @p90 :rule refl :args (@t85)) % 38.02/38.21 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t85 (not @t84)))) % 38.02/38.21 (step @p92 :rule cnf_or_neg :args (@t85 0)) % 38.02/38.21 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 38.02/38.21 (step @p94 :rule reordering :premises (@p93) :args ((or @t83 @t85))) % 38.02/38.21 (step @p95 :rule cnf_or_neg :args (@t85 1)) % 38.02/38.21 (step @p96 :rule instantiate :premises (@p9) :args (@t51)) % 38.02/38.21 (step @p97 :rule instantiate :premises (@p8) :args (@t87)) % 38.02/38.21 (step @p98 :rule eq-symm :args (@t36 @t35)) % 38.02/38.21 (step @p99 :rule refl :args (@t88)) % 38.02/38.21 (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t88 @t89))) % 38.02/38.21 (step @p101 :rule eq-symm :args (@t89 @t88)) % 38.02/38.21 (step @p102 :rule trans :premises (@p101 @p100)) % 38.02/38.21 (step @p103 :rule refl :args (@t90)) % 38.02/38.21 (step @p104 :rule cong :premises (@p103 @p102) :args ((=> @t90 @t91))) % 38.02/38.21 (assume-push @p837 @t90) % 38.02/38.21 (step @p106 :rule instantiate :premises (@p33) :args ((@list @t36 @t35))) % 38.02/38.21 (step-pop @p838 :rule scope :premises (@p106)) % 38.02/38.21 (step @p107 :rule process_scope :premises (@p838) :args (@t91)) % 38.02/38.21 (step @p109 :rule eq_resolve :premises (@p107 @p104)) % 38.02/38.21 (step @p110 :rule implies_elim :premises (@p109)) % 38.02/38.21 (step @p111 :rule chain_m_resolution :premises (@p110 @p33) :args (@t93 @t69 @t94)) % 38.02/38.21 (step @p112 :rule instantiate :premises (@p6) :args ((@list @t36 @t35 @t43))) % 38.02/38.21 (step @p113 :rule instantiate :premises (@p9) :args ((@list @t35))) % 38.02/38.21 (step @p114 :rule instantiate :premises (@p8) :args ((@list @t35 @t35))) % 38.02/38.21 (step @p115 :rule instantiate :premises (@p52) :args (@t97)) % 38.02/38.21 (step @p116 :rule eq-symm :args (@t30 @t8)) % 38.02/38.21 (step @p117 :rule cong :premises (@p116) :args (@t31)) % 38.02/38.21 (step @p118 :rule eq_resolve :premises (@p10 @p117)) % 38.02/38.21 (step @p119 :rule eq-symm :args (@t98 @t99)) % 38.02/38.21 (step @p120 :rule refl :args (@t100)) % 38.02/38.21 (step @p121 :rule cong :premises (@p120 @p119) :args ((=> @t100 @t101))) % 38.02/38.21 (assume-push @p839 @t100) % 38.02/38.21 (step @p123 :rule instantiate :premises (@p118) :args (@t97)) % 38.02/38.21 (step-pop @p840 :rule scope :premises (@p123)) % 38.02/38.21 (step @p124 :rule process_scope :premises (@p840) :args (@t101)) % 38.02/38.21 (step @p126 :rule eq_resolve :premises (@p124 @p121)) % 38.02/38.21 (step @p127 :rule implies_elim :premises (@p126)) % 38.02/38.21 (step @p128 :rule chain_m_resolution :premises (@p127 @p118) :args (@t102 @t69 (@list @t100))) % 38.02/38.21 (step @p129 :rule instantiate :premises (@p7) :args ((@list @t96 @t47 @t46))) % 38.02/38.21 (step @p130 :rule instantiate :premises (@p7) :args ((@list @t96 @t48 @t44))) % 38.02/38.21 (step @p131 :rule bool-double-not-elim :args ((forall @t6 (or (not @t5) (not @t3))))) % 38.02/38.21 (step @p132 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 38.02/38.21 (step @p133 :rule cong :premises (@p132) :args (@t103)) % 38.02/38.21 (step @p134 :rule cong :premises (@p133) :args (@t104)) % 38.02/38.21 (step @p135 :rule exists-elim :args ((= @t17 @t104))) % 38.02/38.21 (step @p136 :rule trans :premises (@p135 @p134)) % 38.02/38.21 (step @p137 :rule cong :premises (@p136) :args (@t18)) % 38.02/38.21 (step @p138 :rule trans :premises (@p137 @p131)) % 38.02/38.21 (step @p139 :rule refl :args (@t19)) % 38.02/38.21 (step @p140 :rule cong :premises (@p139 @p138) :args (@t20)) % 38.02/38.21 (step @p141 :rule cong :premises (@p140) :args (@t21)) % 38.02/38.21 (step @p142 :rule eq_resolve :premises (@p3 @p141)) % 38.02/38.21 (step @p143 :rule instantiate :premises (@p142) :args ((@list @t49 @t42))) % 38.02/38.21 (step @p144 :rule cnf_equiv_pos2 :args (@t105)) % 38.02/38.21 (step @p145 :rule reordering :premises (@p144) :args ((or @t50 @t106 (not @t105)))) % 38.02/38.21 (step @p146 :rule chain_m_resolution :premises (@p145 @p26 @p143) :args (@t106 @t107 (@list @t50 @t105))) % 38.02/38.21 (step @p147 :rule skolemize :premises (@p146)) % 38.02/38.21 (step @p148 :rule bool-double-not-elim :args (@t108)) % 38.02/38.21 (step @p149 :rule refl :args (@t112)) % 38.02/38.21 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t112 (not @t111)))) % 38.02/38.21 (step @p151 :rule cnf_or_neg :args (@t112 0)) % 38.02/38.21 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 38.02/38.21 (step @p153 :rule reordering :premises (@p152) :args ((or @t108 @t112))) % 38.02/38.21 (step @p154 :rule chain_m_resolution :premises (@p153 @p147) :args (@t108 @t66 @t113)) % 38.02/38.21 (step @p155 :rule cnf_equiv_pos1 :args (@t116)) % 38.02/38.21 (step @p156 :rule reordering :premises (@p155) :args ((or @t111 @t115 (not @t116)))) % 38.02/38.21 (step @p157 :rule chain_m_resolution :premises (@p156 @p154 @p130) :args (@t115 @t72 (@list @t108 @t116))) % 38.02/38.21 (step @p158 :rule cnf_and_pos :args (@t115 0)) % 38.02/38.21 (step @p159 :rule reordering :premises (@p158) :args ((or @t114 (not @t115)))) % 38.02/38.21 (step @p160 :rule chain_m_resolution :premises (@p159 @p157) :args (@t114 @t69 (@list @t115))) % 38.02/38.21 (step @p161 :rule cnf_equiv_pos1 :args (@t120)) % 38.02/38.21 (step @p162 :rule reordering :premises (@p161) :args ((or (not @t114) @t119 (not @t120)))) % 38.02/38.21 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p129) :args (@t119 @t72 (@list @t114 @t120))) % 38.02/38.21 (step @p164 :rule cnf_and_pos :args (@t119 0)) % 38.02/38.21 (step @p165 :rule reordering :premises (@p164) :args ((or @t99 @t121))) % 38.02/38.21 (step @p166 :rule chain_m_resolution :premises (@p165 @p163) :args (@t99 @t69 @t122)) % 38.02/38.21 (step @p167 :rule cnf_equiv_pos1 :args (@t102)) % 38.02/38.21 (step @p168 :rule reordering :premises (@p167) :args ((or (not @t99) @t98 (not @t102)))) % 38.02/38.21 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p128) :args (@t98 @t72 (@list @t99 @t102))) % 38.02/38.21 (step @p170 :rule cnf_equiv_pos1 :args (@t126)) % 38.02/38.21 (step @p171 :rule reordering :premises (@p170) :args ((or @t127 @t125 (not @t126)))) % 38.02/38.21 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p115) :args (@t125 @t72 (@list @t98 @t126))) % 38.02/38.21 (step @p173 :rule instantiate :premises (@p172) :args (@t128)) % 38.02/38.21 (step @p174 :rule instantiate :premises (@p6) :args ((@list @t36 @t37 @t43))) % 38.02/38.21 (step @p175 :rule bool-eq-true :args (@t129)) % 38.02/38.21 (step @p176 :rule eq-refl :args (@t36)) % 38.02/38.21 (step @p177 :rule refl :args (@t129)) % 38.02/38.21 (step @p178 :rule cong :premises (@p177 @p176) :args ((= @t129 @t130))) % 38.02/38.21 (step @p179 :rule trans :premises (@p178 @p175)) % 38.02/38.21 (step @p180 :rule eq-symm :args (@t130 @t129)) % 38.02/38.21 (step @p181 :rule trans :premises (@p180 @p179)) % 38.02/38.21 (step @p182 :rule cong :premises (@p103 @p181) :args ((=> @t90 @t131))) % 38.02/38.21 (assume-push @p841 @t90) % 38.02/38.21 (step @p184 :rule instantiate :premises (@p33) :args (@t132)) % 38.02/38.21 (step-pop @p842 :rule scope :premises (@p184)) % 38.02/38.21 (step @p185 :rule process_scope :premises (@p842) :args (@t131)) % 38.02/38.21 (step @p187 :rule eq_resolve :premises (@p185 @p182)) % 38.02/38.21 (step @p188 :rule implies_elim :premises (@p187)) % 38.02/38.21 (step @p189 :rule chain_m_resolution :premises (@p188 @p33) :args (@t129 @t69 @t94)) % 38.02/38.21 (step @p190 :rule cnf_or_neg :args (@t133 0)) % 38.02/38.21 (step @p191 :rule reordering :premises (@p190) :args ((or (not @t129) @t133))) % 38.02/38.21 (step @p192 :rule chain_m_resolution :premises (@p191 @p189) :args (@t133 @t69 @t134)) % 38.02/38.21 (step @p193 :rule cnf_equiv_pos2 :args (@t137)) % 38.02/38.21 (step @p194 :rule reordering :premises (@p193) :args ((or @t136 (not @t133) (not @t137)))) 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38.02/38.21 (assume-push @p954 @t142) % 38.02/38.21 (assume-push @p955 @t136) % 38.02/38.21 (assume-push @p956 @t136) % 38.02/38.21 (assume-push @p957 @t260) % 38.02/38.21 (assume-push @p958 @t142) % 38.02/38.21 (step @p635 :rule true_intro :premises (@p195)) % 38.02/38.21 (step @p636 :rule symm :premises (@p954)) % 38.02/38.21 (step @p637 :rule trans :premises (@p636 @p628)) % 38.02/38.21 (step @p638 :rule cong :premises (@p250 @p637) :args (@t161)) % 38.02/38.21 (step @p639 :rule trans :premises (@p638 @p635)) % 38.02/38.21 (step @p640 :rule true_elim :premises (@p639)) % 38.02/38.21 (step-pop @p959 :rule scope :premises (@p640)) % 38.02/38.21 (step-pop @p960 :rule scope :premises (@p959)) % 38.02/38.21 (step-pop @p961 :rule scope :premises (@p960)) % 38.02/38.21 (step @p641 :rule process_scope :premises (@p961) :args (@t161)) % 38.02/38.21 (step @p645 :rule and_intro :premises (@p195 @p628 @p954)) % 38.02/38.21 (step @p646 :rule modus_ponens :premises (@p645 @p641)) % 38.02/38.21 (step-pop @p962 :rule scope :premises (@p646)) % 38.02/38.21 (step-pop @p963 :rule scope :premises (@p962)) % 38.02/38.21 (step-pop @p964 :rule scope :premises (@p963)) % 38.02/38.21 (step @p647 :rule process_scope :premises (@p964) :args (@t161)) % 38.02/38.21 (step @p651 :rule implies_elim :premises (@p647)) % 38.02/38.21 (step @p652 :rule cnf_and_neg :args (@t261)) % 38.02/38.21 (step @p653 :rule resolution :premises (@p652 @p651) :args (true @t261)) % 38.02/38.21 (step @p654 :rule reordering :premises (@p653) :args ((or (not @t260) @t161 (not @t142) (not @t136)))) % 38.02/38.21 (step @p655 :rule chain_m_resolution :premises (@p654 @p628 @p627 @p195) :args (@t161 @t262 (@list @t260 @t142 @t136))) % 38.02/38.21 (step @p656 :rule chain_m_resolution :premises (@p347 @p655 @p173) :args (@t187 @t72 (@list @t161 @t189))) % 38.02/38.21 (step @p657 :rule chain_m_resolution :premises (@p377 @p656 @p114 @p113) :args (@t197 @t262 (@list @t187 @t196 @t194))) % 38.02/38.21 (step @p658 :rule chain_m_resolution :premises (@p379 @p657 @p112) :args (@t200 @t72 (@list @t197 @t201))) % 38.02/38.21 (step @p659 :rule chain_m_resolution :premises (@p578 @p576 @p658) :args (@t88 @t107 (@list @t199 @t200))) % 38.02/38.21 (step @p660 :rule chain_m_resolution :premises (@p580 @p659 @p111) :args (@t92 @t72 (@list @t88 @t93))) % 38.02/38.21 (step @p661 :rule refl :args (@t264)) % 38.02/38.21 (step @p662 :rule bool-double-not-elim :args (@t53)) % 38.02/38.21 (step @p663 :rule nary_cong :premises (@p548 @p547 @p662 @p588 @p661) :args ((or @t254 @t252 (not @t56) @t256 @t264))) % 38.02/38.21 (assume-push @p965 @t253) % 38.02/38.21 (assume-push @p966 @t251) % 38.02/38.21 (assume-push @p967 @t56) % 38.02/38.21 (assume-push @p968 @t92) % 38.02/38.21 (assume-push @p969 @t56) % 38.02/38.21 (assume-push @p970 @t92) % 38.02/38.21 (assume-push @p971 @t253) % 38.02/38.21 (assume-push @p972 @t251) % 38.02/38.21 (step @p672 :rule false_intro :premises (@p967)) % 38.02/38.21 (step @p673 :rule symm :premises (@p96)) % 38.02/38.21 (step @p674 :rule symm :premises (@p97)) % 38.02/38.21 (step @p675 :rule trans :premises (@p674 @p673 @p968)) % 38.02/38.21 (step @p676 :rule refl :args (tptp.e)) % 38.02/38.21 (step @p677 :rule cong :premises (@p676 @p675) :args (@t263)) % 38.02/38.21 (step @p678 :rule trans :premises (@p677 @p672)) % 38.02/38.21 (step @p679 :rule false_elim :premises (@p678)) % 38.02/38.21 (step-pop @p973 :rule scope :premises (@p679)) % 38.02/38.21 (step-pop @p974 :rule scope :premises (@p973)) % 38.02/38.21 (step-pop @p975 :rule scope :premises (@p974)) % 38.02/38.21 (step-pop @p976 :rule scope :premises (@p975)) % 38.02/38.21 (step @p680 :rule process_scope :premises (@p976) :args (@t264)) % 38.02/38.21 (step @p685 :rule and_intro :premises (@p967 @p968 @p96 @p97)) % 38.02/38.21 (step @p686 :rule modus_ponens :premises (@p685 @p680)) % 38.02/38.21 (step-pop @p977 :rule scope :premises (@p686)) % 38.02/38.21 (step-pop @p978 :rule scope :premises (@p977)) % 38.02/38.21 (step-pop @p979 :rule scope :premises (@p978)) % 38.02/38.21 (step-pop @p980 :rule scope :premises (@p979)) % 38.02/38.21 (step @p687 :rule process_scope :premises (@p980) :args (@t264)) % 38.02/38.21 (step @p692 :rule implies_elim :premises (@p687)) % 38.02/38.21 (step @p693 :rule cnf_and_neg :args (@t265)) % 38.02/38.21 (step @p694 :rule resolution :premises (@p693 @p692) :args (true @t265)) % 38.02/38.21 (step @p695 :rule eq_resolve :premises (@p694 @p663)) % 38.02/38.21 (assume-push @p981 @t236) % 38.02/38.21 (assume-push @p982 @t234) % 38.02/38.21 (assume-push @p983 @t83) % 38.02/38.21 (assume-push @p984 @t83) % 38.02/38.21 (assume-push @p985 @t236) % 38.02/38.21 (assume-push @p986 @t234) % 38.02/38.21 (step @p702 :rule true_intro :premises (@p983)) % 38.02/38.21 (step @p703 :rule symm :premises (@p28)) % 38.02/38.21 (step @p704 :rule symm :premises (@p29)) % 38.02/38.21 (step @p705 :rule trans :premises (@p704 @p703)) % 38.02/38.21 (step @p706 :rule refl :args (@t81)) % 38.02/38.21 (step @p707 :rule cong :premises (@p706 @p705) :args (@t266)) % 38.02/38.21 (step @p708 :rule trans :premises (@p707 @p702)) % 38.02/38.21 (step @p709 :rule true_elim :premises (@p708)) % 38.02/38.21 (step-pop @p987 :rule scope :premises (@p709)) % 38.02/38.21 (step-pop @p988 :rule scope :premises (@p987)) % 38.02/38.21 (step-pop @p989 :rule scope :premises (@p988)) % 38.02/38.21 (step @p710 :rule process_scope :premises (@p989) :args (@t266)) % 38.02/38.21 (step @p714 :rule and_intro :premises (@p983 @p28 @p29)) % 38.02/38.21 (step @p715 :rule modus_ponens :premises (@p714 @p710)) % 38.02/38.22 (step-pop @p990 :rule scope :premises (@p715)) % 38.02/38.22 (step-pop @p991 :rule scope :premises (@p990)) % 38.02/38.22 (step-pop @p992 :rule scope :premises (@p991)) % 38.02/38.22 (step @p716 :rule process_scope :premises (@p992) :args (@t266)) % 38.02/38.22 (step @p720 :rule implies_elim :premises (@p716)) % 38.02/38.22 (step @p721 :rule cnf_and_neg :args (@t267)) % 38.02/38.22 (step @p722 :rule resolution :premises (@p721 @p720) :args (true @t267)) % 38.02/38.22 (step @p723 :rule instantiate :premises (@p6) :args ((@list tptp.e @t34 @t36))) % 38.02/38.22 (step @p724 :rule cnf_equiv_pos2 :args (@t270)) % 38.02/38.22 (step @p725 :rule reordering :premises (@p724) :args ((or @t263 (not @t269) (not @t270)))) % 38.02/38.22 (step @p726 :rule instantiate :premises (@p6) :args ((@list @t81 tptp.e @t207))) % 38.02/38.22 (step @p727 :rule cnf_equiv_pos1 :args (@t273)) % 38.02/38.22 (step @p728 :rule reordering :premises (@p727) :args ((or @t272 (not @t266) (not @t273)))) % 38.02/38.22 (step @p729 :rule cnf_or_neg :args (@t269 0)) % 38.02/38.22 (step @p730 :rule reordering :premises (@p729) :args ((or @t274 @t269))) % 38.02/38.22 (step @p731 :rule cnf_or_pos :args (@t272)) % 38.02/38.22 (step @p732 :rule reordering :premises (@p731) :args ((or @t82 @t271 (not @t272)))) % 38.02/38.22 (step @p733 :rule eq-symm :args (@t81 tptp.e)) % 38.02/38.22 (step @p734 :rule refl :args (@t271)) % 38.02/38.22 (step @p735 :rule cong :premises (@p734 @p733) :args ((= @t271 @t275))) % 38.02/38.22 (step @p736 :rule eq-symm :args (@t275 @t271)) % 38.02/38.22 (step @p737 :rule trans :premises (@p736 @p735)) % 38.02/38.22 (step @p738 :rule cong :premises (@p103 @p737) :args ((=> @t90 @t276))) % 38.02/38.22 (assume-push @p993 @t90) % 38.02/38.22 (step @p740 :rule instantiate :premises (@p33) :args ((@list @t81 tptp.e))) % 38.02/38.22 (step-pop @p994 :rule scope :premises (@p740)) % 38.02/38.22 (step @p741 :rule process_scope :premises (@p994) :args (@t276)) % 38.02/38.22 (step @p743 :rule eq_resolve :premises (@p741 @p738)) % 38.02/38.22 (step @p744 :rule implies_elim :premises (@p743)) % 38.02/38.22 (step @p745 :rule chain_m_resolution :premises (@p744 @p33) :args (@t278 @t69 @t94)) % 38.02/38.22 (step @p746 :rule cnf_equiv_pos1 :args (@t278)) % 38.02/38.22 (step @p747 :rule reordering :premises (@p746) :args ((or (not @t271) @t277 (not @t278)))) % 38.02/38.22 (step @p748 :rule bool-double-not-elim :args (@t268)) % 38.02/38.22 (step @p749 :rule refl :args (@t279)) % 38.02/38.22 (step @p750 :rule refl :args (@t84)) % 38.02/38.22 (step @p751 :rule nary_cong :premises (@p750 @p749 @p748) :args ((or @t84 @t279 (not @t274)))) % 38.02/38.22 (assume-push @p995 @t274) % 38.02/38.22 (assume-push @p996 @t277) % 38.02/38.22 (assume-push @p997 @t83) % 38.02/38.22 (step @p432 :rule evaluate :args (@t221)) % 38.02/38.22 (step @p755 :rule false_intro :premises (@p995)) % 38.02/38.22 (step @p435 :rule refl :args (@t34)) % 38.02/38.22 (step @p756 :rule symm :premises (@p996)) % 38.02/38.22 (step @p757 :rule cong :premises (@p756 @p435) :args (@t83)) % 38.02/38.22 (step @p758 :rule true_intro :premises (@p997)) % 38.02/38.22 (step @p759 :rule symm :premises (@p758)) % 38.02/38.22 (step @p760 :rule trans :premises (@p759 @p757 @p755)) % 38.02/38.22 (step @p761 false :rule eq_resolve :premises (@p760 @p432)) % 38.02/38.22 (step-pop @p998 :rule scope :premises (@p761)) % 38.02/38.22 (step-pop @p999 :rule scope :premises (@p998)) % 38.02/38.22 (step-pop @p1000 :rule scope :premises (@p999)) % 38.02/38.22 (step @p762 :rule process_scope :premises (@p1000) :args (false)) % 38.02/38.22 (assume-push @p1001 @t83) % 38.02/38.22 (assume-push @p1002 @t277) % 38.02/38.22 (assume-push @p1003 @t274) % 38.02/38.22 (step @p769 :rule and_intro :premises (@p1003 @p1002 @p1001)) % 38.02/38.22 (step-pop @p1004 :rule scope :premises (@p769)) % 38.02/38.22 (step-pop @p1005 :rule scope :premises (@p1004)) % 38.02/38.22 (step-pop @p1006 :rule scope :premises (@p1005)) % 38.02/38.22 (step @p770 :rule process_scope :premises (@p1006) :args (@t280)) % 38.02/38.22 (step @p774 :rule implies_elim :premises (@p770)) % 38.02/38.22 (step @p775 :rule resolution :premises (@p774 @p762) :args (true @t280)) % 38.02/38.22 (step @p776 :rule not_and :premises (@p775)) % 38.02/38.22 (step @p777 :rule eq_resolve :premises (@p776 @p751)) % 38.02/38.22 (step @p778 :rule chain_m_resolution :premises (@p777 @p747 @p745 @p732 @p730 @p728 @p726 @p725 @p723 @p722 @p29 @p28 @p695 @p660 @p97 @p96 @p95 @p94 @p88 @p79 @p77 @p76 @p74 @p46 @p36 @p34) :args (@t54 (@list false false false true false false true false false false false true false false false true false true true false true false false true false) (@list @t277 @t278 @t271 @t268 @t272 @t273 @t269 @t270 @t266 @t234 @t236 @t263 @t92 @t251 @t253 @t82 @t83 @t85 @t78 @t79 @t73 @t70 @t76 @t53 @t55))) % 38.02/38.22 (step @p779 :rule instantiate :premises (@p6) :args ((@list @t34 tptp.e @t207))) % 38.02/38.22 (step @p780 :rule refl :args (@t281)) % 38.02/38.22 (step @p781 :rule eq-symm :args (@t34 tptp.e)) % 38.02/38.22 (step @p782 :rule cong :premises (@p781 @p780) :args (@t282)) % 38.02/38.22 (step @p783 :rule cong :premises (@p103 @p782) :args ((=> @t90 @t282))) % 38.02/38.22 (assume-push @p1007 @t90) % 38.02/38.22 (step @p785 :rule instantiate :premises (@p33) :args (@t77)) % 38.02/38.22 (step-pop @p1008 :rule scope :premises (@p785)) % 38.02/38.22 (step @p786 :rule process_scope :premises (@p1008) :args (@t282)) % 38.02/38.22 (step @p788 :rule eq_resolve :premises (@p786 @p783)) % 38.02/38.22 (step @p789 :rule implies_elim :premises (@p788)) % 38.02/38.22 (step @p790 :rule chain_m_resolution :premises (@p789 @p33) :args (@t283 @t69 @t94)) % 38.02/38.22 (step @p791 :rule cnf_equiv_pos1 :args (@t283)) % 38.02/38.22 (step @p792 :rule reordering :premises (@p791) :args ((or @t284 @t281 (not @t283)))) % 38.02/38.22 (step @p793 :rule chain_m_resolution :premises (@p792 @p778 @p790) :args (@t281 @t72 (@list @t54 @t283))) % 38.02/38.22 (step @p794 :rule cnf_or_neg :args (@t285 1)) % 38.02/38.22 (step @p795 :rule chain_m_resolution :premises (@p794 @p793) :args (@t285 @t69 (@list @t281))) % 38.02/38.22 (step @p796 :rule cnf_equiv_pos2 :args (@t287)) % 38.02/38.22 (step @p797 :rule reordering :premises (@p796) :args ((or @t286 (not @t285) (not @t287)))) % 38.02/38.22 (step @p798 :rule chain_m_resolution :premises (@p797 @p795 @p779) :args (@t286 @t72 (@list @t285 @t287))) % 38.02/38.22 (step @p799 :rule refl :args (@t288)) % 38.02/38.22 (step @p800 :rule refl :args (@t284)) % 38.02/38.22 (step @p801 :rule nary_cong :premises (@p472 @p471 @p800 @p427 @p799) :args ((or @t237 @t235 @t284 @t220 @t288))) % 38.02/38.22 (assume-push @p1009 @t236) % 38.02/38.22 (assume-push @p1010 @t234) % 38.02/38.22 (assume-push @p1011 @t54) % 38.02/38.22 (assume-push @p1012 @t219) % 38.02/38.22 (assume-push @p1013 @t219) % 38.02/38.22 (assume-push @p1014 @t54) % 38.02/38.22 (assume-push @p1015 @t236) % 38.02/38.22 (assume-push @p1016 @t234) % 38.02/38.22 (step @p433 :rule false_intro :premises (@p30)) % 38.02/38.22 (step @p810 :rule symm :premises (@p1011)) % 38.02/38.22 (step @p435 :rule refl :args (@t34)) % 38.02/38.22 (step @p811 :rule cong :premises (@p435 @p810) :args ((tptp.mem @t34 @t34))) % 38.02/38.22 (step @p703 :rule symm :premises (@p28)) % 38.02/38.22 (step @p704 :rule symm :premises (@p29)) % 38.02/38.22 (step @p705 :rule trans :premises (@p704 @p703)) % 38.02/38.22 (step @p812 :rule cong :premises (@p435 @p705) :args (@t286)) % 38.02/38.22 (step @p813 :rule trans :premises (@p812 @p811 @p433)) % 38.02/38.22 (step @p814 :rule false_elim :premises (@p813)) % 38.02/38.22 (step-pop @p1017 :rule scope :premises (@p814)) % 38.02/38.22 (step-pop @p1018 :rule scope :premises (@p1017)) % 38.02/38.22 (step-pop @p1019 :rule scope :premises (@p1018)) % 38.02/38.22 (step-pop @p1020 :rule scope :premises (@p1019)) % 38.02/38.22 (step @p815 :rule process_scope :premises (@p1020) :args (@t288)) % 38.02/38.22 (step @p820 :rule and_intro :premises (@p30 @p1011 @p28 @p29)) % 38.02/38.22 (step @p821 :rule modus_ponens :premises (@p820 @p815)) % 38.02/38.22 (step-pop @p1021 :rule scope :premises (@p821)) % 38.02/38.22 (step-pop @p1022 :rule scope :premises (@p1021)) % 38.02/38.22 (step-pop @p1023 :rule scope :premises (@p1022)) % 38.02/38.22 (step-pop @p1024 :rule scope :premises (@p1023)) % 38.02/38.22 (step @p822 :rule process_scope :premises (@p1024) :args (@t288)) % 38.02/38.22 (step @p827 :rule implies_elim :premises (@p822)) % 38.02/38.22 (step @p828 :rule cnf_and_neg :args (@t289)) % 38.02/38.22 (step @p829 :rule resolution :premises (@p828 @p827) :args (true @t289)) % 38.02/38.22 (step @p830 :rule eq_resolve :premises (@p829 @p801)) % 38.02/38.22 (step @p831 :rule reordering :premises (@p830) :args ((or @t237 @t235 @t218 @t284 @t288))) % 38.02/38.22 (step @p832 false :rule chain_m_resolution :premises (@p831 @p798 @p778 @p30 @p29 @p28) :args (false (@list false false true false false) (@list @t286 @t54 @t218 @t234 @t236))) % 38.02/38.22 ) % 38.02/38.22 % SZS output end Proof % 38.02/38.22 % cvc5 exiting %------------------------------------------------------------------------------