%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV541+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 08:56:05 AM UTC 2026 % Result : Theorem 162.02s 162.21s % Output : Proof 162.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV541+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 % 0.17/0.35 % Computer : n027.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 18:37:06 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 162.02/162.21 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 162.02/162.21 --- Run --no-e-matching --full-saturate-quant at 6... % 162.02/162.21 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 162.02/162.21 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 162.02/162.21 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 162.02/162.21 --- Run --trigger-sel=max --full-saturate-quant at 15... % 162.02/162.21 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 162.02/162.21 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 162.02/162.21 --- Run --prenex-quant=none --full-saturate-quant at 30... % 162.02/162.21 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 162.02/162.21 % SZS status Theorem % 162.02/162.21 % SZS output start Proof % 162.02/162.21 ( % 162.02/162.21 (declare-sort $$unsorted 0) % 162.02/162.21 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 162.02/162.21 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 162.02/162.21 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 162.02/162.21 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 162.02/162.21 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 162.02/162.21 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 162.02/162.21 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 162.02/162.21 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 162.02/162.21 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 162.02/162.21 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 162.02/162.21 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 162.02/162.21 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 162.02/162.21 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 162.02/162.21 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 162.02/162.21 (declare-const tptp.e $$unsorted) % 162.02/162.21 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 162.02/162.21 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 162.02/162.21 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 162.02/162.21 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 162.02/162.21 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 162.02/162.21 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 162.02/162.21 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 162.02/162.21 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 162.02/162.21 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 162.02/162.21 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 162.02/162.21 (define @t1 () (@var "Y" $$unsorted)) % 162.02/162.21 (define @t2 () (@var "Z" $$unsorted)) % 162.02/162.21 (define @t3 () (tptp.mem @t2 @t1)) % 162.02/162.21 (define @t4 () (@var "X" $$unsorted)) % 162.02/162.21 (define @t5 () (tptp.mem @t2 @t4)) % 162.02/162.21 (define @t6 () (@list @t2)) % 162.02/162.21 (define @t7 () (forall @t6 (=> @t5 @t3))) % 162.02/162.21 (define @t8 () (tptp.subq @t4 @t1)) % 162.02/162.21 (define @t9 () (= @t8 @t7)) % 162.02/162.21 (define @t10 () (@list @t4 @t1)) % 162.02/162.21 (define @t11 () (forall @t10 @t9)) % 162.02/162.21 (define @t12 () (= @t4 @t1)) % 162.02/162.21 (define @t13 () (tptp.subq @t1 @t4)) % 162.02/162.21 (define @t14 () (=> @t13 @t12)) % 162.02/162.21 (define @t15 () (forall @t10 (=> @t8 @t14))) % 162.02/162.21 (define @t16 () (@list @t4)) % 162.02/162.21 (define @t17 () (tptp.s @t1)) % 162.02/162.21 (define @t18 () (tptp.mem @t4 @t17)) % 162.02/162.21 (define @t19 () (forall @t10 (= @t18 @t12))) % 162.02/162.21 (define @t20 () (tptp.mem @t4 @t2)) % 162.02/162.21 (define @t21 () (tptp.mem @t4 @t1)) % 162.02/162.21 (define @t22 () (@list @t4 @t1 @t2)) % 162.02/162.21 (define @t23 () (forall @t22 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t21 @t20)))) % 162.02/162.21 (define @t24 () (tptp.p @t1)) % 162.02/162.21 (define @t25 () (tptp.mem @t4 @t24)) % 162.02/162.21 (define @t26 () (forall @t10 (= @t25 @t8))) % 162.02/162.21 (define @t27 () (tptp.subq @t4 @t24)) % 162.02/162.21 (define @t28 () (not @t27)) % 162.02/162.21 (define @t29 () (tptp.mem @t1 @t4)) % 162.02/162.21 (define @t30 () (and @t29 @t28)) % 162.02/162.21 (define @t31 () (@list @t1)) % 162.02/162.21 (define @t32 () (exists @t31 @t30)) % 162.02/162.21 (define @t33 () (tptp.atleast2p @t4)) % 162.02/162.21 (define @t34 () (= @t33 @t32)) % 162.02/162.21 (define @t35 () (forall @t16 @t34)) % 162.02/162.21 (define @t36 () (not @t8)) % 162.02/162.21 (define @t37 () (tptp.atleast2p @t1)) % 162.02/162.21 (define @t38 () (and @t13 @t37 @t36)) % 162.02/162.21 (define @t39 () (exists @t31 @t38)) % 162.02/162.21 (define @t40 () (tptp.atleast3p @t4)) % 162.02/162.21 (define @t41 () (= @t40 @t39)) % 162.02/162.21 (define @t42 () (forall @t16 @t41)) % 162.02/162.21 (define @t43 () (tptp.atleast3p @t1)) % 162.02/162.21 (define @t44 () (and @t13 @t43 @t36)) % 162.02/162.21 (define @t45 () (exists @t31 @t44)) % 162.02/162.21 (define @t46 () (tptp.atleast4p @t4)) % 162.02/162.21 (define @t47 () (= @t46 @t45)) % 162.02/162.21 (define @t48 () (forall @t16 @t47)) % 162.02/162.21 (define @t49 () (tptp.n tptp.e)) % 162.02/162.21 (define @t50 () (tptp.s @t49)) % 162.02/162.21 (define @t51 () (tptp.n @t50)) % 162.02/162.21 (define @t52 () (tptp.n @t51)) % 162.02/162.21 (define @t53 () (tptp.u @t49 @t52)) % 162.02/162.21 (define @t54 () (tptp.atleast4p @t53)) % 162.02/162.21 (define @t55 () (@list @t50)) % 162.02/162.21 (define @t56 () (@list @t51 @t50)) % 162.02/162.21 (define @t57 () (not @t13)) % 162.02/162.21 (define @t58 () (@list @t50 @t51)) % 162.02/162.21 (define @t59 () (tptp.mem @t51 @t50)) % 162.02/162.21 (define @t60 () (= @t51 @t49)) % 162.02/162.21 (define @t61 () (forall @t10 (= @t12 @t18))) % 162.02/162.21 (define @t62 () (= @t60 @t59)) % 162.02/162.21 (define @t63 () (= @t49 @t51)) % 162.02/162.21 (define @t64 () (= @t59 @t63)) % 162.02/162.21 (define @t65 () (@list false)) % 162.02/162.21 (define @t66 () (@list @t61)) % 162.02/162.21 (define @t67 () (tptp.s tptp.e)) % 162.02/162.21 (define @t68 () (@list @t49 @t67)) % 162.02/162.21 (define @t69 () (tptp.mem @t2 @t67)) % 162.02/162.21 (define @t70 () (tptp.mem @t2 @t49)) % 162.02/162.21 (define @t71 () (not @t70)) % 162.02/162.21 (define @t72 () (forall @t6 (or @t71 @t69))) % 162.02/162.21 (define @t73 () (@quantifiers_skolemize @t72 0)) % 162.02/162.21 (define @t74 () (tptp.mem @t73 @t49)) % 162.02/162.21 (define @t75 () (tptp.mem @t73 @t67)) % 162.02/162.21 (define @t76 () (not @t74)) % 162.02/162.21 (define @t77 () (or @t76 @t75)) % 162.02/162.21 (define @t78 () (tptp.mem @t2 tptp.e)) % 162.02/162.21 (define @t79 () (not @t78)) % 162.02/162.21 (define @t80 () (forall @t6 (or @t79 @t69))) % 162.02/162.21 (define @t81 () (@quantifiers_skolemize @t80 0)) % 162.02/162.21 (define @t82 () (tptp.mem @t81 tptp.e)) % 162.02/162.21 (define @t83 () (not @t82)) % 162.02/162.21 (define @t84 () (or @t83 (tptp.mem @t81 @t67))) % 162.02/162.21 (define @t85 () (@list true)) % 162.02/162.21 (define @t86 () (not @t84)) % 162.02/162.21 (define @t87 () (not @t80)) % 162.02/162.21 (define @t88 () (tptp.mem @t73 tptp.e)) % 162.02/162.21 (define @t89 () (not @t88)) % 162.02/162.21 (define @t90 () (or @t89 @t75)) % 162.02/162.21 (define @t91 () (or @t88 @t75)) % 162.02/162.21 (define @t92 () (tptp.u tptp.e @t67)) % 162.02/162.21 (define @t93 () (tptp.mem @t73 @t92)) % 162.02/162.21 (define @t94 () (= @t93 @t91)) % 162.02/162.21 (define @t95 () (@list tptp.e)) % 162.02/162.21 (define @t96 () (@list tptp.e tptp.e)) % 162.02/162.21 (define @t97 () (tptp.a tptp.e tptp.e)) % 162.02/162.21 (define @t98 () (= @t49 @t97)) % 162.02/162.21 (define @t99 () (= @t97 @t92)) % 162.02/162.21 (define @t100 () (and @t98 @t99 @t74)) % 162.02/162.21 (define @t101 () (not @t77)) % 162.02/162.21 (define @t102 () (not @t72)) % 162.02/162.21 (define @t103 () (tptp.subq @t49 @t67)) % 162.02/162.21 (define @t104 () (= @t103 @t72)) % 162.02/162.21 (define @t105 () (@list false false)) % 162.02/162.21 (define @t106 () (not @t69)) % 162.02/162.21 (define @t107 () (forall @t6 (or @t106 @t70))) % 162.02/162.21 (define @t108 () (@quantifiers_skolemize @t107 0)) % 162.02/162.21 (define @t109 () (tptp.mem @t108 @t67)) % 162.02/162.21 (define @t110 () (tptp.mem @t108 @t49)) % 162.02/162.21 (define @t111 () (not @t109)) % 162.02/162.21 (define @t112 () (or @t111 @t110)) % 162.02/162.21 (define @t113 () (or (tptp.mem @t108 tptp.e) @t109)) % 162.02/162.21 (define @t114 () (tptp.mem @t108 @t92)) % 162.02/162.21 (define @t115 () (= @t114 @t113)) % 162.02/162.21 (define @t116 () (not @t114)) % 162.02/162.21 (define @t117 () (not @t99)) % 162.02/162.21 (define @t118 () (not @t98)) % 162.02/162.21 (define @t119 () (not @t110)) % 162.02/162.21 (define @t120 () (and @t98 @t99 @t119)) % 162.02/162.21 (define @t121 () (@list false false false false false true false)) % 162.02/162.21 (define @t122 () (not @t112)) % 162.02/162.21 (define @t123 () (not @t107)) % 162.02/162.21 (define @t124 () (tptp.subq @t67 @t49)) % 162.02/162.21 (define @t125 () (= @t124 @t107)) % 162.02/162.21 (define @t126 () (= @t49 @t67)) % 162.02/162.21 (define @t127 () (not @t124)) % 162.02/162.21 (define @t128 () (not @t103)) % 162.02/162.21 (define @t129 () (or @t128 @t127 @t126)) % 162.02/162.21 (define @t130 () (@list false false false)) % 162.02/162.21 (define @t131 () (tptp.s @t50)) % 162.02/162.21 (define @t132 () (tptp.mem @t49 @t50)) % 162.02/162.21 (define @t133 () (= (= @t49 @t49) @t132)) % 162.02/162.21 (define @t134 () (or @t132 (tptp.mem @t49 @t131))) % 162.02/162.21 (define @t135 () (not @t132)) % 162.02/162.21 (define @t136 () (tptp.u @t50 @t131)) % 162.02/162.21 (define @t137 () (tptp.mem @t49 @t136)) % 162.02/162.21 (define @t138 () (= @t137 @t134)) % 162.02/162.21 (define @t139 () (tptp.mem @t49 @t67)) % 162.02/162.21 (define @t140 () (= (= @t49 tptp.e) @t139)) % 162.02/162.21 (define @t141 () (= tptp.e @t49)) % 162.02/162.21 (define @t142 () (= @t141 @t139)) % 162.02/162.21 (define @t143 () (not @t142)) % 162.02/162.21 (define @t144 () (not @t141)) % 162.02/162.21 (define @t145 () (tptp.mem @t49 tptp.e)) % 162.02/162.21 (define @t146 () (or @t145 @t139)) % 162.02/162.21 (define @t147 () (not @t139)) % 162.02/162.21 (define @t148 () (tptp.mem @t49 @t92)) % 162.02/162.21 (define @t149 () (= @t148 @t146)) % 162.02/162.21 (define @t150 () (@list @t67)) % 162.02/162.21 (define @t151 () (not @t148)) % 162.02/162.21 (define @t152 () (not @t126)) % 162.02/162.21 (define @t153 () (tptp.mem @t67 tptp.e)) % 162.02/162.21 (define @t154 () (not @t153)) % 162.02/162.21 (define @t155 () (tptp.mem @t49 @t49)) % 162.02/162.21 (define @t156 () (and @t98 @t141 @t99 @t154 @t126)) % 162.02/162.21 (define @t157 () (@list true false)) % 162.02/162.21 (define @t158 () (@list @t50 @t50)) % 162.02/162.21 (define @t159 () (not @t137)) % 162.02/162.21 (define @t160 () (not @t63)) % 162.02/162.21 (define @t161 () (tptp.a @t50 @t50)) % 162.02/162.21 (define @t162 () (= @t161 @t136)) % 162.02/162.21 (define @t163 () (not @t162)) % 162.02/162.21 (define @t164 () (= @t51 @t161)) % 162.02/162.21 (define @t165 () (not @t164)) % 162.02/162.21 (define @t166 () (= false true)) % 162.02/162.21 (define @t167 () (tptp.mem @t49 @t51)) % 162.02/162.21 (define @t168 () (and @t137 @t162 @t164 @t126 @t63 @t98 @t99 @t147)) % 162.02/162.21 (define @t169 () (not @t59)) % 162.02/162.21 (define @t170 () (tptp.mem @t51 @t131)) % 162.02/162.21 (define @t171 () (= @t50 @t51)) % 162.02/162.21 (define @t172 () (= @t51 @t50)) % 162.02/162.21 (define @t173 () (= @t172 @t170)) % 162.02/162.21 (define @t174 () (= @t171 @t170)) % 162.02/162.21 (define @t175 () (not @t174)) % 162.02/162.21 (define @t176 () (not @t171)) % 162.02/162.21 (define @t177 () (or @t59 @t170)) % 162.02/162.21 (define @t178 () (tptp.mem @t51 @t136)) % 162.02/162.21 (define @t179 () (= @t178 @t177)) % 162.02/162.21 (define @t180 () (not @t179)) % 162.02/162.21 (define @t181 () (not @t177)) % 162.02/162.21 (define @t182 () (not @t178)) % 162.02/162.21 (define @t183 () (tptp.mem @t51 @t51)) % 162.02/162.21 (define @t184 () (and @t164 @t162 @t169 @t171)) % 162.02/162.21 (define @t185 () (tptp.mem @t2 @t51)) % 162.02/162.21 (define @t186 () (tptp.mem @t2 @t50)) % 162.02/162.21 (define @t187 () (forall @t6 (or (not @t186) @t185))) % 162.02/162.21 (define @t188 () (@quantifiers_skolemize @t187 0)) % 162.02/162.21 (define @t189 () (tptp.mem @t188 @t50)) % 162.02/162.21 (define @t190 () (tptp.mem @t188 @t51)) % 162.02/162.21 (define @t191 () (not @t189)) % 162.02/162.21 (define @t192 () (or @t191 @t190)) % 162.02/162.21 (define @t193 () (or @t189 (tptp.mem @t188 @t131))) % 162.02/162.21 (define @t194 () (tptp.mem @t188 @t136)) % 162.02/162.21 (define @t195 () (= @t194 @t193)) % 162.02/162.21 (define @t196 () (not @t194)) % 162.02/162.21 (define @t197 () (not @t190)) % 162.02/162.21 (define @t198 () (and @t164 @t162 @t197)) % 162.02/162.21 (define @t199 () (not @t192)) % 162.02/162.21 (define @t200 () (not @t187)) % 162.02/162.21 (define @t201 () (tptp.subq @t50 @t51)) % 162.02/162.21 (define @t202 () (= @t201 @t187)) % 162.02/162.21 (define @t203 () (tptp.subq @t51 @t50)) % 162.02/162.21 (define @t204 () (not @t203)) % 162.02/162.21 (define @t205 () (not @t201)) % 162.02/162.21 (define @t206 () (or @t205 @t204 @t171)) % 162.02/162.21 (define @t207 () (@list false true false)) % 162.02/162.21 (define @t208 () (not @t185)) % 162.02/162.21 (define @t209 () (forall @t6 (or @t208 @t186))) % 162.02/162.21 (define @t210 () (= @t203 @t209)) % 162.02/162.21 (define @t211 () (not @t209)) % 162.02/162.21 (define @t212 () (@quantifiers_skolemize @t209 0)) % 162.02/162.21 (define @t213 () (tptp.mem @t212 @t50)) % 162.02/162.21 (define @t214 () (tptp.mem @t212 @t51)) % 162.02/162.21 (define @t215 () (not @t214)) % 162.02/162.21 (define @t216 () (or @t215 @t213)) % 162.02/162.21 (define @t217 () (not @t216)) % 162.02/162.21 (define @t218 () (@list @t216)) % 162.02/162.21 (define @t219 () (tptp.mem @t212 @t131)) % 162.02/162.21 (define @t220 () (= @t212 @t50)) % 162.02/162.21 (define @t221 () (= @t220 @t219)) % 162.02/162.21 (define @t222 () (= @t50 @t212)) % 162.02/162.21 (define @t223 () (= @t219 @t222)) % 162.02/162.21 (define @t224 () (tptp.mem @t212 @t136)) % 162.02/162.21 (define @t225 () (and @t164 @t162 @t214)) % 162.02/162.21 (define @t226 () (or @t213 @t219)) % 162.02/162.21 (define @t227 () (= @t224 @t226)) % 162.02/162.21 (define @t228 () (tptp.u tptp.e tptp.e)) % 162.02/162.21 (define @t229 () (@list tptp.e @t228)) % 162.02/162.21 (define @t230 () (tptp.mem @t2 @t228)) % 162.02/162.21 (define @t231 () (forall @t6 (or @t79 @t230))) % 162.02/162.21 (define @t232 () (@quantifiers_skolemize @t231 0)) % 162.02/162.21 (define @t233 () (tptp.mem @t232 tptp.e)) % 162.02/162.21 (define @t234 () (not @t233)) % 162.02/162.21 (define @t235 () (or @t234 (tptp.mem @t232 @t228))) % 162.02/162.21 (define @t236 () (not @t235)) % 162.02/162.21 (define @t237 () (not @t231)) % 162.02/162.21 (define @t238 () (tptp.subq tptp.e @t228)) % 162.02/162.21 (define @t239 () (= @t238 @t231)) % 162.02/162.21 (define @t240 () (forall @t6 (or (not @t230) @t78))) % 162.02/162.21 (define @t241 () (@quantifiers_skolemize @t240 0)) % 162.02/162.21 (define @t242 () (tptp.mem @t241 @t228)) % 162.02/162.21 (define @t243 () (tptp.mem @t241 tptp.e)) % 162.02/162.21 (define @t244 () (not @t242)) % 162.02/162.21 (define @t245 () (or @t244 @t243)) % 162.02/162.21 (define @t246 () (or @t243 @t243)) % 162.02/162.21 (define @t247 () (= @t242 @t246)) % 162.02/162.21 (define @t248 () (= @t242 @t243)) % 162.02/162.21 (define @t249 () (not @t245)) % 162.02/162.21 (define @t250 () (not @t240)) % 162.02/162.21 (define @t251 () (tptp.subq @t228 tptp.e)) % 162.02/162.21 (define @t252 () (= @t251 @t240)) % 162.02/162.21 (define @t253 () (= tptp.e @t228)) % 162.02/162.21 (define @t254 () (not @t251)) % 162.02/162.21 (define @t255 () (not @t238)) % 162.02/162.21 (define @t256 () (or @t255 @t254 @t253)) % 162.02/162.21 (define @t257 () (tptp.s @t51)) % 162.02/162.21 (define @t258 () (tptp.mem @t228 @t257)) % 162.02/162.21 (define @t259 () (= @t228 @t51)) % 162.02/162.21 (define @t260 () (= @t259 @t258)) % 162.02/162.21 (define @t261 () (= @t51 @t228)) % 162.02/162.21 (define @t262 () (= @t258 @t261)) % 162.02/162.21 (define @t263 () (tptp.mem @t2 @t52)) % 162.02/162.21 (define @t264 () (tptp.mem @t2 @t53)) % 162.02/162.21 (define @t265 () (forall @t6 (or (not @t264) @t263))) % 162.02/162.21 (define @t266 () (tptp.subq @t53 @t52)) % 162.02/162.21 (define @t267 () (= @t266 @t265)) % 162.02/162.21 (define @t268 () (@quantifiers_skolemize @t265 0)) % 162.02/162.21 (define @t269 () (tptp.mem @t268 @t52)) % 162.02/162.21 (define @t270 () (tptp.mem @t268 @t53)) % 162.02/162.21 (define @t271 () (not @t270)) % 162.02/162.21 (define @t272 () (or @t271 @t269)) % 162.02/162.21 (define @t273 () (not @t272)) % 162.02/162.21 (define @t274 () (not @t265)) % 162.02/162.21 (define @t275 () (not @t43)) % 162.02/162.21 (define @t276 () (not @t36)) % 162.02/162.21 (define @t277 () (or @t57 @t275 @t276)) % 162.02/162.21 (define @t278 () (forall @t31 (not @t44))) % 162.02/162.21 (define @t279 () (not @t278)) % 162.02/162.21 (define @t280 () (forall @t31 (or (not (tptp.subq @t1 @t53)) @t275 (tptp.subq @t53 @t1)))) % 162.02/162.21 (define @t281 () (not @t280)) % 162.02/162.21 (define @t282 () (= @t54 @t281)) % 162.02/162.21 (define @t283 () (not @t282)) % 162.02/162.21 (define @t284 () (@list @t52)) % 162.02/162.21 (define @t285 () (forall @t6 (or (not @t263) @t264))) % 162.02/162.21 (define @t286 () (@quantifiers_skolemize @t285 0)) % 162.02/162.21 (define @t287 () (tptp.mem @t286 @t52)) % 162.02/162.21 (define @t288 () (tptp.mem @t286 @t53)) % 162.02/162.21 (define @t289 () (not @t287)) % 162.02/162.21 (define @t290 () (or @t289 @t288)) % 162.02/162.21 (define @t291 () (or (tptp.mem @t286 @t49) @t287)) % 162.02/162.21 (define @t292 () (= @t288 @t291)) % 162.02/162.21 (define @t293 () (@list false false true false)) % 162.02/162.21 (define @t294 () (not @t290)) % 162.02/162.21 (define @t295 () (not @t285)) % 162.02/162.21 (define @t296 () (tptp.subq @t52 @t53)) % 162.02/162.21 (define @t297 () (= @t296 @t285)) % 162.02/162.21 (define @t298 () (tptp.atleast3p @t52)) % 162.02/162.21 (define @t299 () (not @t298)) % 162.02/162.21 (define @t300 () (not @t296)) % 162.02/162.21 (define @t301 () (or @t300 @t299 @t266)) % 162.02/162.21 (define @t302 () (not @t37)) % 162.02/162.21 (define @t303 () (or @t57 @t302 @t276)) % 162.02/162.21 (define @t304 () (forall @t31 (not @t38))) % 162.02/162.21 (define @t305 () (not @t304)) % 162.02/162.21 (define @t306 () (forall @t31 (or (not (tptp.subq @t1 @t52)) @t302 (tptp.subq @t52 @t1)))) % 162.02/162.21 (define @t307 () (not @t306)) % 162.02/162.21 (define @t308 () (= @t298 @t307)) % 162.02/162.21 (define @t309 () (not @t308)) % 162.02/162.21 (define @t310 () (tptp.mem @t268 @t49)) % 162.02/162.21 (define @t311 () (or @t310 @t269)) % 162.02/162.21 (define @t312 () (= @t270 @t311)) % 162.02/162.21 (define @t313 () (@list @t51)) % 162.02/162.21 (define @t314 () (tptp.subq @t52 @t51)) % 162.02/162.21 (define @t315 () (tptp.atleast2p @t51)) % 162.02/162.21 (define @t316 () (not @t315)) % 162.02/162.21 (define @t317 () (tptp.subq @t51 @t52)) % 162.02/162.21 (define @t318 () (not @t317)) % 162.02/162.21 (define @t319 () (or @t318 @t316 @t314)) % 162.02/162.21 (define @t320 () (not @t29)) % 162.02/162.21 (define @t321 () (forall @t31 (not @t30))) % 162.02/162.21 (define @t322 () (not @t321)) % 162.02/162.21 (define @t323 () (tptp.p @t50)) % 162.02/162.21 (define @t324 () (@list @t67 @t50)) % 162.02/162.21 (define @t325 () (tptp.mem tptp.e @t50)) % 162.02/162.21 (define @t326 () (= @t141 @t325)) % 162.02/162.21 (define @t327 () (not @t325)) % 162.02/162.21 (define @t328 () (tptp.mem tptp.e @t67)) % 162.02/162.21 (define @t329 () (= (= tptp.e tptp.e) @t328)) % 162.02/162.21 (define @t330 () (not @t328)) % 162.02/162.21 (define @t331 () (or @t330 @t325)) % 162.02/162.21 (define @t332 () (not @t331)) % 162.02/162.21 (define @t333 () (@list false true)) % 162.02/162.21 (define @t334 () (forall @t6 (or @t106 @t186))) % 162.02/162.21 (define @t335 () (tptp.subq @t67 @t50)) % 162.02/162.21 (define @t336 () (= @t335 @t334)) % 162.02/162.21 (define @t337 () (not @t335)) % 162.02/162.21 (define @t338 () (tptp.mem @t67 @t323)) % 162.02/162.21 (define @t339 () (= @t335 @t338)) % 162.02/162.21 (define @t340 () (not @t338)) % 162.02/162.21 (define @t341 () (tptp.mem @t67 @t51)) % 162.02/162.21 (define @t342 () (and @t164 @t162 @t137 @t126)) % 162.02/162.21 (define @t343 () (@list false false false false)) % 162.02/162.21 (define @t344 () (not @t341)) % 162.02/162.21 (define @t345 () (or @t344 @t338)) % 162.02/162.21 (define @t346 () (not @t345)) % 162.02/162.21 (define @t347 () (forall @t6 (or @t208 (tptp.mem @t2 @t323)))) % 162.02/162.21 (define @t348 () (tptp.subq @t51 @t323)) % 162.02/162.21 (define @t349 () (= @t348 @t347)) % 162.02/162.21 (define @t350 () (not @t348)) % 162.02/162.21 (define @t351 () (tptp.mem @t50 @t131)) % 162.02/162.21 (define @t352 () (= (= @t50 @t50) @t351)) % 162.02/162.21 (define @t353 () (or (tptp.mem @t50 @t50) @t351)) % 162.02/162.21 (define @t354 () (tptp.mem @t50 @t136)) % 162.02/162.21 (define @t355 () (= @t354 @t353)) % 162.02/162.21 (define @t356 () (tptp.mem @t50 @t51)) % 162.02/162.21 (define @t357 () (not @t356)) % 162.02/162.21 (define @t358 () (or @t357 @t348)) % 162.02/162.21 (define @t359 () (not @t358)) % 162.02/162.21 (define @t360 () (forall @t31 (or (not (tptp.mem @t1 @t51)) (tptp.subq @t51 @t24)))) % 162.02/162.21 (define @t361 () (not @t360)) % 162.02/162.21 (define @t362 () (= @t315 @t361)) % 162.02/162.21 (define @t363 () (not @t362)) % 162.02/162.21 (define @t364 () (@list @t51 @t52)) % 162.02/162.21 (define @t365 () (forall @t6 (or @t208 @t263))) % 162.02/162.21 (define @t366 () (@quantifiers_skolemize @t365 0)) % 162.02/162.21 (define @t367 () (tptp.mem @t366 @t51)) % 162.02/162.21 (define @t368 () (tptp.mem @t366 @t52)) % 162.02/162.21 (define @t369 () (not @t367)) % 162.02/162.21 (define @t370 () (or @t369 @t368)) % 162.02/162.21 (define @t371 () (or @t367 (tptp.mem @t366 @t257))) % 162.02/162.21 (define @t372 () (tptp.u @t51 @t257)) % 162.02/162.21 (define @t373 () (tptp.mem @t366 @t372)) % 162.02/162.21 (define @t374 () (= @t373 @t371)) % 162.02/162.21 (define @t375 () (@list @t51 @t51)) % 162.02/162.21 (define @t376 () (not @t373)) % 162.02/162.21 (define @t377 () (tptp.a @t51 @t51)) % 162.02/162.21 (define @t378 () (= @t377 @t372)) % 162.02/162.21 (define @t379 () (not @t378)) % 162.02/162.21 (define @t380 () (= @t52 @t377)) % 162.02/162.21 (define @t381 () (not @t380)) % 162.02/162.21 (define @t382 () (not @t368)) % 162.02/162.21 (define @t383 () (and @t380 @t378 @t382)) % 162.02/162.21 (define @t384 () (not @t370)) % 162.02/162.21 (define @t385 () (not @t365)) % 162.02/162.21 (define @t386 () (= @t317 @t365)) % 162.02/162.21 (define @t387 () (= @t51 @t52)) % 162.02/162.21 (define @t388 () (not @t314)) % 162.02/162.21 (define @t389 () (or @t318 @t388 @t387)) % 162.02/162.21 (define @t390 () (tptp.mem @t51 @t257)) % 162.02/162.21 (define @t391 () (= @t51 @t51)) % 162.02/162.21 (define @t392 () (= @t391 @t390)) % 162.02/162.21 (define @t393 () (or @t183 @t390)) % 162.02/162.21 (define @t394 () (tptp.mem @t51 @t372)) % 162.02/162.21 (define @t395 () (= @t394 @t393)) % 162.02/162.21 (define @t396 () (and @t164 @t380 @t162 @t378 @t394 @t387)) % 162.02/162.21 (define @t397 () (not @t387)) % 162.02/162.21 (define @t398 () (not @t310)) % 162.02/162.21 (define @t399 () (not @t269)) % 162.02/162.21 (define @t400 () (and @t310 @t63 @t387 @t399)) % 162.02/162.21 (define @t401 () (tptp.mem tptp.e @t52)) % 162.02/162.21 (define @t402 () (tptp.mem tptp.e @t53)) % 162.02/162.21 (define @t403 () (not @t402)) % 162.02/162.21 (define @t404 () (or @t403 @t401)) % 162.02/162.21 (define @t405 () (forall @t6 (or @t71 @t264))) % 162.02/162.21 (define @t406 () (@quantifiers_skolemize @t405 0)) % 162.02/162.21 (define @t407 () (tptp.mem @t406 @t49)) % 162.02/162.21 (define @t408 () (tptp.mem @t406 @t53)) % 162.02/162.21 (define @t409 () (not @t407)) % 162.02/162.21 (define @t410 () (or @t409 @t408)) % 162.02/162.21 (define @t411 () (or @t407 (tptp.mem @t406 @t52))) % 162.02/162.21 (define @t412 () (= @t408 @t411)) % 162.02/162.21 (define @t413 () (not @t410)) % 162.02/162.21 (define @t414 () (not @t405)) % 162.02/162.21 (define @t415 () (tptp.mem tptp.e @t49)) % 162.02/162.21 (define @t416 () (not @t415)) % 162.02/162.21 (define @t417 () (or @t416 @t402)) % 162.02/162.21 (define @t418 () (or (tptp.mem tptp.e tptp.e) @t328)) % 162.02/162.21 (define @t419 () (tptp.mem tptp.e @t92)) % 162.02/162.21 (define @t420 () (= @t419 @t418)) % 162.02/162.21 (define @t421 () (tptp.mem @t228 @t372)) % 162.02/162.21 (define @t422 () (and @t380 @t378 @t401 @t253)) % 162.02/162.21 (define @t423 () (not @t253)) % 162.02/162.21 (define @t424 () (tptp.mem @t228 @t51)) % 162.02/162.21 (define @t425 () (or @t424 @t258)) % 162.02/162.21 (define @t426 () (= @t421 @t425)) % 162.02/162.21 (define @t427 () (= tptp.e @t50)) % 162.02/162.21 (define @t428 () (not @t427)) % 162.02/162.21 (define @t429 () (not @t145)) % 162.02/162.21 (define @t430 () (= true false)) % 162.02/162.21 (define @t431 () (and @t429 @t427 @t132)) % 162.02/162.21 (define @t432 () (tptp.mem tptp.e @t131)) % 162.02/162.21 (define @t433 () (= @t427 @t432)) % 162.02/162.21 (define @t434 () (not @t432)) % 162.02/162.21 (define @t435 () (or @t325 @t432)) % 162.02/162.21 (define @t436 () (not @t435)) % 162.02/162.21 (define @t437 () (tptp.mem tptp.e @t136)) % 162.02/162.21 (define @t438 () (= @t437 @t435)) % 162.02/162.21 (define @t439 () (not @t437)) % 162.02/162.21 (define @t440 () (not @t424)) % 162.02/162.21 (define @t441 () (and @t164 @t162 @t439 @t253)) % 162.02/162.21 (define @t442 () (not @t261)) % 162.02/162.21 (define @t443 () (not @t222)) % 162.02/162.21 (define @t444 () (tptp.mem @t50 tptp.e)) % 162.02/162.21 (define @t445 () (not @t444)) % 162.02/162.21 (define @t446 () (and @t445 @t222 @t253 @t261 @t214)) % 162.02/162.21 (assume @p1 @t11) % 162.02/162.21 (assume @p2 @t15) % 162.02/162.21 (assume @p3 (forall @t10 (= (tptp.disj @t4 @t1) (not (exists @t6 (and @t5 @t3)))))) % 162.02/162.21 (assume @p4 (forall @t16 (not (tptp.mem @t4 tptp.e)))) % 162.02/162.21 (assume @p5 @t19) % 162.02/162.21 (assume @p6 @t23) % 162.02/162.21 (assume @p7 (forall @t22 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t21 (not @t20))))) % 162.02/162.21 (assume @p8 (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t17)))) % 162.02/162.21 (assume @p9 (forall @t16 (= (tptp.n @t4) (tptp.a @t4 @t4)))) % 162.02/162.21 (assume @p10 @t26) % 162.02/162.21 (assume @p11 @t35) % 162.02/162.21 (assume @p12 @t42) % 162.02/162.21 (assume @p13 @t48) % 162.02/162.21 (assume @p14 (forall @t16 (= (tptp.atleast5p @t4) (exists @t31 (and @t13 (tptp.atleast4p @t1) @t36))))) % 162.02/162.21 (assume @p15 (forall @t16 (= (tptp.atleast6p @t4) (exists @t31 (and @t13 (tptp.atleast5p @t1) @t36))))) % 162.02/162.21 (assume @p16 (forall @t16 (= (tptp.atleast7p @t4) (exists @t31 (and @t13 (tptp.atleast6p @t1) @t36))))) % 162.02/162.21 (assume @p17 (forall @t16 (= (tptp.atleast8p @t4) (exists @t31 (and @t13 (tptp.atleast7p @t1) @t36))))) % 162.02/162.21 (assume @p18 (forall @t16 (= (tptp.atleast9p @t4) (exists @t31 (and @t13 (tptp.atleast8p @t1) @t36))))) % 162.02/162.21 (assume @p19 (forall @t16 (= (tptp.atleast10p @t4) (exists @t31 (and @t13 (tptp.atleast9p @t1) @t36))))) % 162.02/162.21 (assume @p20 (forall @t16 (= (tptp.atleast11p @t4) (exists @t31 (and @t13 (tptp.atleast10p @t1) @t36))))) % 162.02/162.21 (assume @p21 (forall @t16 (= (tptp.atleast12p @t4) (exists @t31 (and @t13 (tptp.atleast11p @t1) @t36))))) % 162.02/162.21 (assume @p22 (forall @t16 (= (tptp.atleast13p @t4) (exists @t31 (and @t13 (tptp.atleast12p @t1) @t36))))) % 162.02/162.21 (assume @p23 (forall @t16 (= (tptp.atleast14p @t4) (exists @t31 (and @t13 (tptp.atleast13p @t1) @t36))))) % 162.02/162.21 (assume @p24 (forall @t16 (= (tptp.atleast15p @t4) (exists @t31 (and @t13 (tptp.atleast14p @t1) @t36))))) % 162.02/162.21 (assume @p25 (forall @t16 (= (tptp.atleast16p @t4) (exists @t31 (and @t13 (tptp.atleast15p @t1) @t36))))) % 162.02/162.21 (assume @p26 (not @t54)) % 162.02/162.21 (assume @p27 true) % 162.02/162.21 (step @p28 :rule instantiate :premises (@p4) :args (@t55)) % 162.02/162.21 (step @p29 :rule bool-impl-elim :args (@t5 @t3)) % 162.02/162.21 (step @p30 :rule cong :premises (@p29) :args (@t7)) % 162.02/162.21 (step @p31 :rule refl :args (@t8)) % 162.02/162.21 (step @p32 :rule cong :premises (@p31 @p30) :args (@t9)) % 162.02/162.21 (step @p33 :rule cong :premises (@p32) :args (@t11)) % 162.02/162.21 (step @p34 :rule eq_resolve :premises (@p1 @p33)) % 162.02/162.21 (step @p35 :rule instantiate :premises (@p34) :args (@t56)) % 162.02/162.21 (step @p36 :rule aci_norm :args ((= (or @t36 (or @t57 @t12)) (or @t36 @t57 @t12)))) % 162.02/162.21 (step @p37 :rule bool-impl-elim :args (@t13 @t12)) % 162.02/162.21 (step @p38 :rule refl :args (@t36)) % 162.02/162.21 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t36 @t14))) % 162.02/162.21 (step @p40 :rule trans :premises (@p39 @p36)) % 162.02/162.21 (step @p41 :rule bool-impl-elim :args (@t8 @t14)) % 162.02/162.21 (step @p42 :rule trans :premises (@p41 @p40)) % 162.02/162.21 (step @p43 :rule cong :premises (@p42) :args (@t15)) % 162.02/162.21 (step @p44 :rule eq_resolve :premises (@p2 @p43)) % 162.02/162.21 (step @p45 :rule instantiate :premises (@p44) :args (@t58)) % 162.02/162.21 (step @p46 :rule eq-symm :args (@t18 @t12)) % 162.02/162.21 (step @p47 :rule cong :premises (@p46) :args (@t19)) % 162.02/162.21 (step @p48 :rule eq_resolve :premises (@p5 @p47)) % 162.02/162.21 (step @p49 :rule eq-symm :args (@t51 @t49)) % 162.02/162.21 (step @p50 :rule refl :args (@t59)) % 162.02/162.21 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t59 @t60))) % 162.02/162.21 (step @p52 :rule eq-symm :args (@t60 @t59)) % 162.02/162.21 (step @p53 :rule trans :premises (@p52 @p51)) % 162.02/162.21 (step @p54 :rule refl :args (@t61)) % 162.02/162.21 (step @p55 :rule cong :premises (@p54 @p53) :args ((=> @t61 @t62))) % 162.02/162.21 (assume-push @p1262 @t61) % 162.02/162.21 (step @p57 :rule instantiate :premises (@p48) :args ((@list @t51 @t49))) % 162.02/162.21 (step-pop @p1263 :rule scope :premises (@p57)) % 162.02/162.21 (step @p58 :rule process_scope :premises (@p1263) :args (@t62)) % 162.02/162.21 (step @p60 :rule eq_resolve :premises (@p58 @p55)) % 162.02/162.21 (step @p61 :rule implies_elim :premises (@p60)) % 162.02/162.21 (step @p62 :rule chain_m_resolution :premises (@p61 @p48) :args (@t64 @t65 @t66)) % 162.02/162.21 (step @p63 :rule instantiate :premises (@p44) :args (@t68)) % 162.02/162.21 (step @p64 :rule instantiate :premises (@p34) :args (@t68)) % 162.02/162.21 (step @p65 :rule bool-double-not-elim :args (@t74)) % 162.02/162.21 (step @p66 :rule refl :args (@t77)) % 162.02/162.21 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t77 (not @t76)))) % 162.02/162.21 (step @p68 :rule cnf_or_neg 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@p1281 :rule scope :premises (@p137)) % 162.02/162.21 (step @p138 :rule process_scope :premises (@p1281) :args (@t101)) % 162.02/162.21 (step @p140 :rule implies_elim :premises (@p138)) % 162.02/162.21 (step @p141 :rule eq_resolve :premises (@p140 @p135)) % 162.02/162.21 (step @p142 :rule chain_m_resolution :premises (@p141 @p132) :args (@t72 @t65 (@list @t77))) % 162.02/162.21 (step @p143 :rule cnf_equiv_pos2 :args (@t104)) % 162.02/162.21 (step @p144 :rule reordering :premises (@p143) :args ((or @t103 @t102 (not @t104)))) % 162.02/162.21 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p64) :args (@t103 @t105 (@list @t72 @t104))) % 162.02/162.21 (step @p146 :rule instantiate :premises (@p34) :args ((@list @t67 @t49))) % 162.02/162.21 (step @p147 :rule bool-double-not-elim :args (@t109)) % 162.02/162.21 (step @p148 :rule refl :args (@t112)) % 162.02/162.21 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or @t112 (not @t111)))) % 162.02/162.21 (step @p150 :rule 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(step @p175 :rule process_scope :premises (@p1290) :args (@t116)) % 162.02/162.21 (step @p179 :rule and_intro :premises (@p1284 @p103 @p104)) % 162.02/162.21 (step @p180 :rule modus_ponens :premises (@p179 @p175)) % 162.02/162.21 (step-pop @p1291 :rule scope :premises (@p180)) % 162.02/162.21 (step-pop @p1292 :rule scope :premises (@p1291)) % 162.02/162.21 (step-pop @p1293 :rule scope :premises (@p1292)) % 162.02/162.21 (step @p181 :rule process_scope :premises (@p1293) :args (@t116)) % 162.02/162.21 (step @p185 :rule implies_elim :premises (@p181)) % 162.02/162.21 (step @p186 :rule cnf_and_neg :args (@t120)) % 162.02/162.21 (step @p187 :rule resolution :premises (@p186 @p185) :args (true @t120)) % 162.02/162.21 (step @p188 :rule eq_resolve :premises (@p187 @p163)) % 162.02/162.21 (step @p189 :rule chain_m_resolution :premises (@p188 @p104 @p103 @p158 @p156 @p155 @p153 @p152) :args (@t112 @t121 (@list @t99 @t98 @t114 @t115 @t113 @t110 @t109))) % 162.02/162.21 (step @p190 :rule refl :args (@t122)) % 162.02/162.21 (step @p191 :rule bool-double-not-elim :args (@t107)) % 162.02/162.21 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or (not @t123) @t122))) % 162.02/162.21 (assume-push @p1294 @t123) % 162.02/162.21 (step @p194 :rule skolemize :premises (@p1294)) % 162.02/162.21 (step-pop @p1295 :rule scope :premises (@p194)) % 162.02/162.21 (step @p195 :rule process_scope :premises (@p1295) :args (@t122)) % 162.02/162.21 (step @p197 :rule implies_elim :premises (@p195)) % 162.02/162.21 (step @p198 :rule eq_resolve :premises (@p197 @p192)) % 162.02/162.21 (step @p199 :rule chain_m_resolution :premises (@p198 @p189) :args (@t107 @t65 (@list @t112))) % 162.02/162.21 (step @p200 :rule cnf_equiv_pos2 :args (@t125)) % 162.02/162.21 (step @p201 :rule reordering :premises (@p200) :args ((or @t124 @t123 (not @t125)))) % 162.02/162.21 (step @p202 :rule chain_m_resolution :premises (@p201 @p199 @p146) :args (@t124 @t105 (@list @t107 @t125))) % 162.02/162.21 (step 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(step @p228 :rule refl :args (@t139)) % 162.02/162.21 (step @p229 :rule eq-symm :args (@t49 tptp.e)) % 162.02/162.21 (step @p230 :rule cong :premises (@p229 @p228) :args (@t140)) % 162.02/162.21 (step @p231 :rule cong :premises (@p54 @p230) :args ((=> @t61 @t140))) % 162.02/162.21 (assume-push @p1298 @t61) % 162.02/162.21 (step @p233 :rule instantiate :premises (@p48) :args ((@list @t49 tptp.e))) % 162.02/162.21 (step-pop @p1299 :rule scope :premises (@p233)) % 162.02/162.21 (step @p234 :rule process_scope :premises (@p1299) :args (@t140)) % 162.02/162.21 (step @p236 :rule eq_resolve :premises (@p234 @p231)) % 162.02/162.21 (step @p237 :rule implies_elim :premises (@p236)) % 162.02/162.21 (step @p238 :rule chain_m_resolution :premises (@p237 @p48) :args (@t142 @t65 @t66)) % 162.02/162.21 (step @p239 :rule cnf_equiv_pos1 :args (@t142)) % 162.02/162.21 (step @p240 :rule reordering :premises (@p239) :args ((or @t144 @t139 @t143))) % 162.02/162.21 (step @p241 :rule cnf_or_neg :args (@t146 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162.02/162.21 (assume-push @p1304 @t126) % 162.02/162.21 (assume-push @p1305 @t154) % 162.02/162.21 (assume-push @p1306 @t126) % 162.02/162.21 (assume-push @p1307 @t141) % 162.02/162.21 (assume-push @p1308 @t98) % 162.02/162.21 (assume-push @p1309 @t99) % 162.02/162.21 (step @p262 :rule false_intro :premises (@p246)) % 162.02/162.21 (step @p263 :rule symm :premises (@p1301)) % 162.02/162.21 (step @p264 :rule cong :premises (@p1304 @p263) :args (@t155)) % 162.02/162.21 (step @p112 :rule symm :premises (@p103)) % 162.02/162.21 (step @p113 :rule symm :premises (@p104)) % 162.02/162.21 (step @p114 :rule trans :premises (@p113 @p112)) % 162.02/162.21 (step @p265 :rule refl :args (@t49)) % 162.02/162.21 (step @p266 :rule cong :premises (@p265 @p114) :args (@t148)) % 162.02/162.21 (step @p267 :rule trans :premises (@p266 @p264 @p262)) % 162.02/162.21 (step @p268 :rule false_elim :premises (@p267)) % 162.02/162.21 (step-pop @p1310 :rule scope :premises (@p268)) % 162.02/162.21 (step-pop @p1311 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162.02/162.21 (step @p1149 :rule process_scope :premises (@p1523) :args (false)) % 162.02/162.21 (assume-push @p1524 @t427) % 162.02/162.21 (assume-push @p1525 @t429) % 162.02/162.21 (assume-push @p1526 @t132) % 162.02/162.21 (step @p1156 :rule and_intro :premises (@p1133 @p1524 @p221)) % 162.02/162.21 (step-pop @p1527 :rule scope :premises (@p1156)) % 162.02/162.21 (step-pop @p1528 :rule scope :premises (@p1527)) % 162.02/162.21 (step-pop @p1529 :rule scope :premises (@p1528)) % 162.02/162.21 (step @p1157 :rule process_scope :premises (@p1529) :args (@t431)) % 162.02/162.21 (step @p1161 :rule implies_elim :premises (@p1157)) % 162.02/162.21 (step @p1162 :rule resolution :premises (@p1161 @p1149) :args (true @t431)) % 162.02/162.21 (step @p1163 :rule not_and :premises (@p1162)) % 162.02/162.21 (step @p1164 :rule eq_resolve :premises (@p1163 @p1137)) % 162.02/162.21 (step @p1165 :rule reordering :premises (@p1164) :args ((or @t145 @t428 @t135))) % 162.02/162.21 (step @p1166 :rule chain_m_resolution :premises (@p1165 @p1133 @p221) :args (@t428 @t157 (@list @t145 @t132))) % 162.02/162.21 (step @p1167 :rule cnf_equiv_pos2 :args (@t433)) % 162.02/162.21 (step @p1168 :rule reordering :premises (@p1167) :args ((or @t427 @t434 (not @t433)))) % 162.02/162.21 (step @p1169 :rule chain_m_resolution :premises (@p1168 @p1166 @p1132) :args (@t434 @t157 (@list @t427 @t433))) % 162.02/162.21 (step @p1170 :rule cnf_or_pos :args (@t435)) % 162.02/162.21 (step @p1171 :rule reordering :premises (@p1170) :args ((or @t325 @t432 @t436))) % 162.02/162.21 (step @p1172 :rule chain_m_resolution :premises (@p1171 @p758 @p1169) :args (@t436 (@list true true) (@list @t325 @t432))) % 162.02/162.21 (step @p1173 :rule cnf_equiv_pos1 :args (@t438)) % 162.02/162.21 (step @p1174 :rule reordering :premises (@p1173) :args ((or @t435 @t439 (not @t438)))) % 162.02/162.21 (step @p1175 :rule chain_m_resolution :premises (@p1174 @p1172 @p1131) :args (@t439 @t157 (@list @t435 @t438))) % 162.02/162.21 (step @p1176 :rule refl :args (@t440)) % 162.02/162.21 (step @p1177 :rule refl :args (@t423)) % 162.02/162.21 (step @p1178 :rule bool-double-not-elim :args (@t437)) % 162.02/162.21 (step @p1179 :rule nary_cong :premises (@p298 @p297 @p1178 @p1177 @p1176) :args ((or @t165 @t163 (not @t439) @t423 @t440))) % 162.02/162.21 (assume-push @p1530 @t164) % 162.02/162.21 (assume-push @p1531 @t162) % 162.02/162.21 (assume-push @p1532 @t439) % 162.02/162.21 (assume-push @p1533 @t253) % 162.02/162.21 (assume-push @p1534 @t439) % 162.02/162.21 (assume-push @p1535 @t162) % 162.02/162.21 (assume-push @p1536 @t164) % 162.02/162.21 (assume-push @p1537 @t253) % 162.02/162.21 (step @p1188 :rule false_intro :premises (@p1532)) % 162.02/162.21 (step @p1189 :rule cong :premises (@p1088 @p310) :args ((tptp.mem tptp.e @t51))) % 162.02/162.21 (step @p395 :rule symm :premises (@p293)) % 162.02/162.21 (step @p396 :rule symm :premises (@p292)) % 162.02/162.21 (step @p397 :rule trans :premises (@p396 @p395)) % 162.02/162.21 (step @p1190 :rule symm :premises (@p1533)) % 162.02/162.21 (step @p1191 :rule cong :premises (@p1190 @p397) :args ((tptp.mem @t228 @t136))) % 162.02/162.21 (step @p1192 :rule refl :args (@t228)) % 162.02/162.21 (step @p1193 :rule cong :premises (@p1192 @p310) :args (@t424)) % 162.02/162.21 (step @p1194 :rule trans :premises (@p1193 @p1191 @p1189 @p1188)) % 162.02/162.21 (step @p1195 :rule false_elim :premises (@p1194)) % 162.02/162.21 (step-pop @p1538 :rule scope :premises (@p1195)) % 162.02/162.21 (step-pop @p1539 :rule scope :premises (@p1538)) % 162.02/162.21 (step-pop @p1540 :rule scope :premises (@p1539)) % 162.02/162.21 (step-pop @p1541 :rule scope :premises (@p1540)) % 162.02/162.21 (step @p1196 :rule process_scope :premises (@p1541) :args (@t440)) % 162.02/162.21 (step @p1201 :rule and_intro :premises (@p1532 @p292 @p293 @p1533)) % 162.02/162.21 (step @p1202 :rule modus_ponens :premises (@p1201 @p1196)) % 162.02/162.21 (step-pop @p1542 :rule scope :premises (@p1202)) % 162.02/162.21 (step-pop @p1543 :rule scope :premises (@p1542)) % 162.02/162.21 (step-pop @p1544 :rule scope :premises (@p1543)) % 162.02/162.21 (step-pop @p1545 :rule scope :premises (@p1544)) % 162.02/162.21 (step @p1203 :rule process_scope :premises (@p1545) :args (@t440)) % 162.02/162.21 (step @p1208 :rule implies_elim :premises (@p1203)) % 162.02/162.21 (step @p1209 :rule cnf_and_neg :args (@t441)) % 162.02/162.21 (step @p1210 :rule resolution :premises (@p1209 @p1208) :args (true @t441)) % 162.02/162.21 (step @p1211 :rule eq_resolve :premises (@p1210 @p1179)) % 162.02/162.21 (step @p1212 :rule reordering :premises (@p1211) :args ((or @t165 @t163 @t440 @t437 @t423))) % 162.02/162.21 (step @p1213 :rule chain_m_resolution :premises (@p1212 @p293 @p292 @p1175 @p608) :args (@t440 @t293 (@list @t164 @t162 @t437 @t253))) % 162.02/162.21 (step @p1214 :rule cnf_or_pos :args (@t425)) % 162.02/162.21 (step @p1215 :rule reordering :premises (@p1214) :args ((or @t424 @t258 (not @t425)))) % 162.02/162.21 (step @p1216 :rule chain_m_resolution :premises (@p1215 @p1213 @p1130) :args (@t258 @t157 (@list @t424 @t425))) % 162.02/162.21 (step @p1217 :rule cnf_equiv_pos1 :args (@t262)) % 162.02/162.21 (step @p1218 :rule reordering :premises (@p1217) :args ((or (not @t258) @t261 (not @t262)))) % 162.02/162.21 (step @p1219 :rule chain_m_resolution :premises (@p1218 @p1216 @p621) :args (@t261 @t105 (@list @t258 @t262))) % 162.02/162.21 (step @p1220 :rule refl :args (@t442)) % 162.02/162.21 (step @p1221 :rule refl :args (@t443)) % 162.02/162.21 (step @p1222 :rule refl :args (@t215)) % 162.02/162.21 (step @p1223 :rule bool-double-not-elim :args (@t444)) % 162.02/162.21 (step @p1224 :rule nary_cong :premises (@p1223 @p1222 @p1221 @p1177 @p1220) :args ((or (not @t445) @t215 @t443 @t423 @t442))) % 162.02/162.21 (assume-push @p1546 @t445) % 162.02/162.21 (assume-push @p1547 @t222) % 162.02/162.21 (assume-push @p1548 @t253) % 162.02/162.21 (assume-push @p1549 @t261) % 162.02/162.21 (assume-push @p1550 @t214) % 162.02/162.21 (step @p1141 :rule evaluate :args (@t430)) % 162.02/162.21 (step @p1230 :rule false_intro :premises (@p28)) % 162.02/162.21 (step @p1231 :rule symm :premises (@p1548)) % 162.02/162.21 (step @p1232 :rule trans :premises (@p1549 @p1231)) % 162.02/162.21 (step @p1233 :rule symm :premises (@p1547)) % 162.02/162.21 (step @p1234 :rule cong :premises (@p1233 @p1232) :args (@t214)) % 162.02/162.21 (step @p1235 :rule true_intro :premises (@p1550)) % 162.02/162.21 (step @p1236 :rule symm :premises (@p1235)) % 162.02/162.21 (step @p1237 :rule trans :premises (@p1236 @p1234 @p1230)) % 162.02/162.21 (step @p1238 false :rule eq_resolve :premises (@p1237 @p1141)) % 162.02/162.21 (step-pop @p1551 :rule scope :premises (@p1238)) % 162.02/162.21 (step-pop @p1552 :rule scope :premises (@p1551)) % 162.02/162.21 (step-pop @p1553 :rule scope :premises (@p1552)) % 162.02/162.21 (step-pop @p1554 :rule scope :premises (@p1553)) % 162.02/162.21 (step-pop @p1555 :rule scope :premises (@p1554)) % 162.02/162.21 (step @p1239 :rule process_scope :premises (@p1555) :args (false)) % 162.02/162.21 (assume-push @p1556 @t445) % 162.02/162.21 (assume-push @p1557 @t214) % 162.02/162.21 (assume-push @p1558 @t222) % 162.02/162.21 (assume-push @p1559 @t253) % 162.02/162.21 (assume-push @p1560 @t261) % 162.02/162.21 (step @p1250 :rule and_intro :premises (@p28 @p1558 @p1559 @p1560 @p1557)) % 162.02/162.21 (step-pop @p1561 :rule scope :premises (@p1250)) % 162.02/162.21 (step-pop @p1562 :rule scope :premises (@p1561)) % 162.02/162.21 (step-pop @p1563 :rule scope :premises (@p1562)) % 162.02/162.21 (step-pop @p1564 :rule scope :premises (@p1563)) % 162.02/162.21 (step-pop @p1565 :rule scope :premises (@p1564)) % 162.02/162.21 (step @p1251 :rule process_scope :premises (@p1565) :args (@t446)) % 162.02/162.21 (step @p1257 :rule implies_elim :premises (@p1251)) % 162.02/162.21 (step @p1258 :rule resolution :premises (@p1257 @p1239) :args (true @t446)) % 162.02/162.21 (step @p1259 :rule not_and :premises (@p1258)) % 162.02/162.21 (step @p1260 :rule eq_resolve :premises (@p1259 @p1224)) % 162.02/162.21 (step @p1261 false :rule chain_m_resolution :premises (@p1260 @p1219 @p608 @p546 @p496 @p28) :args (false (@list false false false false true) (@list @t261 @t253 @t222 @t214 @t444))) % 162.02/162.21 ) % 162.02/162.21 % SZS output end Proof % 162.02/162.21 % cvc5 exiting %------------------------------------------------------------------------------