%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV558+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 : n028.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 158.49s 158.89s % Output : Proof 158.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV558+1 : TPTP v9.2.1. Released v9.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 18:37:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 158.49/158.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 158.49/158.89 --- Run --no-e-matching --full-saturate-quant at 6... % 158.49/158.89 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 158.49/158.89 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 158.49/158.89 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 158.49/158.89 --- Run --trigger-sel=max --full-saturate-quant at 15... % 158.49/158.89 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 158.49/158.89 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 158.49/158.89 --- Run --prenex-quant=none --full-saturate-quant at 30... % 158.49/158.89 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 158.49/158.89 % SZS status Theorem % 158.49/158.89 % SZS output start Proof % 158.49/158.89 ( % 158.49/158.89 (declare-sort $$unsorted 0) % 158.49/158.89 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 158.49/158.89 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 158.49/158.89 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 158.49/158.89 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 158.49/158.89 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 158.49/158.89 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 158.49/158.89 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 158.49/158.89 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 158.49/158.89 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 158.49/158.89 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 158.49/158.89 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 158.49/158.89 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 158.49/158.89 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 158.49/158.89 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 158.49/158.89 (declare-const tptp.e $$unsorted) % 158.49/158.89 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 158.49/158.89 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 158.49/158.89 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 158.49/158.89 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 158.49/158.89 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 158.49/158.89 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 158.49/158.89 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 158.49/158.89 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 158.49/158.89 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 158.49/158.89 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 158.49/158.89 (define @t1 () (@var "Y" $$unsorted)) % 158.49/158.89 (define @t2 () (@var "Z" $$unsorted)) % 158.49/158.89 (define @t3 () (tptp.mem @t2 @t1)) % 158.49/158.89 (define @t4 () (@var "X" $$unsorted)) % 158.49/158.89 (define @t5 () (tptp.mem @t2 @t4)) % 158.49/158.89 (define @t6 () (@list @t2)) % 158.49/158.89 (define @t7 () (forall @t6 (=> @t5 @t3))) % 158.49/158.89 (define @t8 () (tptp.subq @t4 @t1)) % 158.49/158.89 (define @t9 () (= @t8 @t7)) % 158.49/158.89 (define @t10 () (@list @t4 @t1)) % 158.49/158.89 (define @t11 () (forall @t10 @t9)) % 158.49/158.89 (define @t12 () (= @t4 @t1)) % 158.49/158.89 (define @t13 () (tptp.subq @t1 @t4)) % 158.49/158.89 (define @t14 () (=> @t13 @t12)) % 158.49/158.89 (define @t15 () (forall @t10 (=> @t8 @t14))) % 158.49/158.89 (define @t16 () (and @t5 @t3)) % 158.49/158.89 (define @t17 () (exists @t6 @t16)) % 158.49/158.89 (define @t18 () (not @t17)) % 158.49/158.89 (define @t19 () (tptp.disj @t4 @t1)) % 158.49/158.89 (define @t20 () (= @t19 @t18)) % 158.49/158.89 (define @t21 () (forall @t10 @t20)) % 158.49/158.89 (define @t22 () (@list @t4)) % 158.49/158.89 (define @t23 () (tptp.s @t1)) % 158.49/158.89 (define @t24 () (tptp.mem @t4 @t23)) % 158.49/158.89 (define @t25 () (forall @t10 (= @t24 @t12))) % 158.49/158.89 (define @t26 () (tptp.mem @t4 @t2)) % 158.49/158.89 (define @t27 () (tptp.mem @t4 @t1)) % 158.49/158.89 (define @t28 () (@list @t4 @t1 @t2)) % 158.49/158.89 (define @t29 () (tptp.p @t1)) % 158.49/158.89 (define @t30 () (tptp.mem @t4 @t29)) % 158.49/158.89 (define @t31 () (forall @t10 (= @t30 @t8))) % 158.49/158.89 (define @t32 () (@list @t1)) % 158.49/158.89 (define @t33 () (not @t8)) % 158.49/158.89 (define @t34 () (tptp.n tptp.e)) % 158.49/158.89 (define @t35 () (tptp.n @t34)) % 158.49/158.89 (define @t36 () (tptp.s @t34)) % 158.49/158.89 (define @t37 () (tptp.s @t36)) % 158.49/158.89 (define @t38 () (tptp.a @t37 @t35)) % 158.49/158.89 (define @t39 () (tptp.p @t36)) % 158.49/158.89 (define @t40 () (tptp.s @t39)) % 158.49/158.89 (define @t41 () (tptp.a @t40 @t38)) % 158.49/158.89 (define @t42 () (tptp.n @t35)) % 158.49/158.89 (define @t43 () (tptp.s @t42)) % 158.49/158.89 (define @t44 () (tptp.p @t42)) % 158.49/158.89 (define @t45 () (tptp.m @t44 @t43)) % 158.49/158.89 (define @t46 () (tptp.n @t36)) % 158.49/158.89 (define @t47 () (tptp.u @t34 @t46)) % 158.49/158.89 (define @t48 () (tptp.s @t47)) % 158.49/158.89 (define @t49 () (tptp.u @t48 @t45)) % 158.49/158.89 (define @t50 () (tptp.disj @t49 @t41)) % 158.49/158.89 (define @t51 () (@list @t36)) % 158.49/158.89 (define @t52 () (@list @t36 @t36)) % 158.49/158.89 (define @t53 () (@list @t34 @t36)) % 158.49/158.89 (define @t54 () (tptp.s tptp.e)) % 158.49/158.89 (define @t55 () (tptp.mem tptp.e @t54)) % 158.49/158.89 (define @t56 () (= (= tptp.e tptp.e) @t55)) % 158.49/158.89 (define @t57 () (forall @t10 (= @t12 @t24))) % 158.49/158.89 (define @t58 () (@list tptp.e tptp.e)) % 158.49/158.89 (define @t59 () (@list false)) % 158.49/158.89 (define @t60 () (@list @t57)) % 158.49/158.89 (define @t61 () (tptp.mem tptp.e tptp.e)) % 158.49/158.89 (define @t62 () (or @t61 @t55)) % 158.49/158.89 (define @t63 () (tptp.u tptp.e @t54)) % 158.49/158.89 (define @t64 () (tptp.mem tptp.e @t63)) % 158.49/158.89 (define @t65 () (= @t64 @t62)) % 158.49/158.89 (define @t66 () (@list false false)) % 158.49/158.89 (define @t67 () (@list tptp.e)) % 158.49/158.89 (define @t68 () (tptp.mem tptp.e @t34)) % 158.49/158.89 (define @t69 () (not @t64)) % 158.49/158.89 (define @t70 () (tptp.a tptp.e tptp.e)) % 158.49/158.89 (define @t71 () (= @t70 @t63)) % 158.49/158.89 (define @t72 () (not @t71)) % 158.49/158.89 (define @t73 () (= tptp.e @t34)) % 158.49/158.89 (define @t74 () (not @t73)) % 158.49/158.89 (define @t75 () (= @t34 @t70)) % 158.49/158.89 (define @t76 () (not @t75)) % 158.49/158.89 (define @t77 () (not @t61)) % 158.49/158.89 (define @t78 () (= false true)) % 158.49/158.89 (define @t79 () (and @t64 @t71 @t75 @t73 @t77)) % 158.49/158.89 (define @t80 () (tptp.mem tptp.e @t36)) % 158.49/158.89 (define @t81 () (= @t73 @t80)) % 158.49/158.89 (define @t82 () (not @t80)) % 158.49/158.89 (define @t83 () (@list true false)) % 158.49/158.89 (define @t84 () (not @t68)) % 158.49/158.89 (define @t85 () (or @t84 @t80)) % 158.49/158.89 (define @t86 () (not @t85)) % 158.49/158.89 (define @t87 () (tptp.mem @t2 @t36)) % 158.49/158.89 (define @t88 () (forall @t6 (or (not (tptp.mem @t2 @t34)) @t87))) % 158.49/158.89 (define @t89 () (not @t88)) % 158.49/158.89 (define @t90 () (@list true)) % 158.49/158.89 (define @t91 () (tptp.subq @t34 @t36)) % 158.49/158.89 (define @t92 () (= @t91 @t88)) % 158.49/158.89 (define @t93 () (not @t91)) % 158.49/158.89 (define @t94 () (tptp.mem @t34 @t39)) % 158.49/158.89 (define @t95 () (= @t91 @t94)) % 158.49/158.89 (define @t96 () (not @t94)) % 158.49/158.89 (define @t97 () (forall @t6 (or (not (tptp.mem @t2 @t49)) (not (tptp.mem @t2 @t41))))) % 158.49/158.89 (define @t98 () (@quantifiers_skolemize @t97 0)) % 158.49/158.89 (define @t99 () (tptp.mem @t98 @t40)) % 158.49/158.89 (define @t100 () (= @t98 @t39)) % 158.49/158.89 (define @t101 () (= @t100 @t99)) % 158.49/158.89 (define @t102 () (= @t39 @t98)) % 158.49/158.89 (define @t103 () (= @t99 @t102)) % 158.49/158.89 (define @t104 () (tptp.s @t38)) % 158.49/158.89 (define @t105 () (not @t5)) % 158.49/158.89 (define @t106 () (forall @t6 (not @t16))) % 158.49/158.89 (define @t107 () (not @t106)) % 158.49/158.89 (define @t108 () (= @t50 @t97)) % 158.49/158.89 (define @t109 () (not @t97)) % 158.49/158.89 (define @t110 () (tptp.mem @t98 @t41)) % 158.49/158.89 (define @t111 () (not @t110)) % 158.49/158.89 (define @t112 () (tptp.mem @t98 @t49)) % 158.49/158.89 (define @t113 () (not @t112)) % 158.49/158.89 (define @t114 () (or @t113 @t111)) % 158.49/158.89 (define @t115 () (@list @t114)) % 158.49/158.89 (define @t116 () (tptp.mem @t98 (tptp.u @t40 @t104))) % 158.49/158.89 (define @t117 () (tptp.mem @t98 @t104)) % 158.49/158.89 (define @t118 () (or @t99 @t117)) % 158.49/158.89 (define @t119 () (= @t116 @t118)) % 158.49/158.89 (define @t120 () (= @t98 @t38)) % 158.49/158.89 (define @t121 () (= @t120 @t117)) % 158.49/158.89 (define @t122 () (= @t38 @t98)) % 158.49/158.89 (define @t123 () (= @t117 @t122)) % 158.49/158.89 (define @t124 () (or @t68 (tptp.mem tptp.e @t46))) % 158.49/158.89 (define @t125 () (tptp.mem tptp.e @t47)) % 158.49/158.89 (define @t126 () (= @t125 @t124)) % 158.49/158.89 (define @t127 () (tptp.s @t35)) % 158.49/158.89 (define @t128 () (@list tptp.e @t36)) % 158.49/158.89 (define @t129 () (tptp.mem @t34 @t36)) % 158.49/158.89 (define @t130 () (= (= @t34 @t34) @t129)) % 158.49/158.89 (define @t131 () (@list @t34 @t34)) % 158.49/158.89 (define @t132 () (@list @t34)) % 158.49/158.89 (define @t133 () (= tptp.e @t36)) % 158.49/158.89 (define @t134 () (not @t133)) % 158.49/158.89 (define @t135 () (not @t129)) % 158.49/158.89 (define @t136 () (tptp.mem @t34 tptp.e)) % 158.49/158.89 (define @t137 () (not @t136)) % 158.49/158.89 (define @t138 () (= true false)) % 158.49/158.89 (define @t139 () (and @t137 @t133 @t129)) % 158.49/158.89 (define @t140 () (tptp.mem tptp.e @t37)) % 158.49/158.89 (define @t141 () (= @t133 @t140)) % 158.49/158.89 (define @t142 () (not @t140)) % 158.49/158.89 (define @t143 () (tptp.mem @t2 tptp.e)) % 158.49/158.89 (define @t144 () (not @t87)) % 158.49/158.89 (define @t145 () (forall @t6 (or @t144 @t143))) % 158.49/158.89 (define @t146 () (@quantifiers_skolemize @t145 0)) % 158.49/158.89 (define @t147 () (tptp.mem @t146 @t36)) % 158.49/158.89 (define @t148 () (= @t146 @t34)) % 158.49/158.89 (define @t149 () (= @t148 @t147)) % 158.49/158.89 (define @t150 () (= @t34 @t146)) % 158.49/158.89 (define @t151 () (= @t147 @t150)) % 158.49/158.89 (define @t152 () (@list @t36 tptp.e)) % 158.49/158.89 (define @t153 () (not @t13)) % 158.49/158.89 (define @t154 () (forall @t6 (or (not @t143) @t87))) % 158.49/158.89 (define @t155 () (@quantifiers_skolemize @t154 0)) % 158.49/158.89 (define @t156 () (tptp.mem @t155 tptp.e)) % 158.49/158.89 (define @t157 () (not @t156)) % 158.49/158.89 (define @t158 () (or @t157 (tptp.mem @t155 @t36))) % 158.49/158.89 (define @t159 () (not @t158)) % 158.49/158.89 (define @t160 () (not @t154)) % 158.49/158.89 (define @t161 () (tptp.subq tptp.e @t36)) % 158.49/158.89 (define @t162 () (= @t161 @t154)) % 158.49/158.89 (define @t163 () (tptp.subq @t36 tptp.e)) % 158.49/158.89 (define @t164 () (not @t163)) % 158.49/158.89 (define @t165 () (not @t161)) % 158.49/158.89 (define @t166 () (or @t165 @t164 @t133)) % 158.49/158.89 (define @t167 () (= @t163 @t145)) % 158.49/158.89 (define @t168 () (not @t145)) % 158.49/158.89 (define @t169 () (tptp.mem @t146 tptp.e)) % 158.49/158.89 (define @t170 () (not @t147)) % 158.49/158.89 (define @t171 () (or @t170 @t169)) % 158.49/158.89 (define @t172 () (not @t171)) % 158.49/158.89 (define @t173 () (@list @t171)) % 158.49/158.89 (define @t174 () (not @t169)) % 158.49/158.89 (define @t175 () (tptp.mem @t34 @t34)) % 158.49/158.89 (define @t176 () (or @t175 @t129)) % 158.49/158.89 (define @t177 () (@list @t129)) % 158.49/158.89 (define @t178 () (tptp.u @t34 @t36)) % 158.49/158.89 (define @t179 () (tptp.mem @t34 @t178)) % 158.49/158.89 (define @t180 () (= @t179 @t176)) % 158.49/158.89 (define @t181 () (not @t150)) % 158.49/158.89 (define @t182 () (not @t179)) % 158.49/158.89 (define @t183 () (= tptp.e @t35)) % 158.49/158.89 (define @t184 () (not @t183)) % 158.49/158.89 (define @t185 () (tptp.a @t34 @t34)) % 158.49/158.89 (define @t186 () (= @t185 @t178)) % 158.49/158.89 (define @t187 () (not @t186)) % 158.49/158.89 (define @t188 () (= @t35 @t185)) % 158.49/158.89 (define @t189 () (not @t188)) % 158.49/158.89 (define @t190 () (and @t179 @t186 @t188 @t150 @t183 @t174)) % 158.49/158.89 (define @t191 () (@list false false false true false)) % 158.49/158.89 (define @t192 () (tptp.mem tptp.e @t127)) % 158.49/158.89 (define @t193 () (= @t183 @t192)) % 158.49/158.89 (define @t194 () (not @t192)) % 158.49/158.89 (define @t195 () (or @t140 @t192)) % 158.49/158.89 (define @t196 () (not @t195)) % 158.49/158.89 (define @t197 () (@list true true)) % 158.49/158.89 (define @t198 () (tptp.u @t37 @t127)) % 158.49/158.89 (define @t199 () (tptp.mem tptp.e @t198)) % 158.49/158.89 (define @t200 () (= @t199 @t195)) % 158.49/158.89 (define @t201 () (not @t199)) % 158.49/158.89 (define @t202 () (tptp.mem @t98 @t48)) % 158.49/158.89 (define @t203 () (= @t98 @t47)) % 158.49/158.89 (define @t204 () (= @t203 @t202)) % 158.49/158.89 (define @t205 () (= @t47 @t98)) % 158.49/158.89 (define @t206 () (= @t202 @t205)) % 158.49/158.89 (define @t207 () (tptp.mem @t98 @t45)) % 158.49/158.89 (define @t208 () (or @t202 @t207)) % 158.49/158.89 (define @t209 () (= @t112 @t208)) % 158.49/158.89 (define @t210 () (tptp.subq @t98 @t42)) % 158.49/158.89 (define @t211 () (tptp.mem @t98 @t44)) % 158.49/158.89 (define @t212 () (forall @t10 (= @t8 @t30))) % 158.49/158.89 (define @t213 () (= @t210 @t211)) % 158.49/158.89 (define @t214 () (@list @t98 @t42)) % 158.49/158.89 (define @t215 () (= @t211 @t210)) % 158.49/158.89 (define @t216 () (tptp.mem @t36 @t127)) % 158.49/158.89 (define @t217 () (= (= @t36 @t35) @t216)) % 158.49/158.89 (define @t218 () (= @t35 @t36)) % 158.49/158.89 (define @t219 () (= @t218 @t216)) % 158.49/158.89 (define @t220 () (@quantifiers_skolemize @t88 0)) % 158.49/158.89 (define @t221 () (tptp.mem @t220 @t36)) % 158.49/158.89 (define @t222 () (tptp.mem @t220 @t34)) % 158.49/158.89 (define @t223 () (not @t222)) % 158.49/158.89 (define @t224 () (or @t223 @t221)) % 158.49/158.89 (define @t225 () (not @t224)) % 158.49/158.89 (define @t226 () (@list @t224)) % 158.49/158.89 (define @t227 () (or @t222 @t221)) % 158.49/158.89 (define @t228 () (tptp.mem @t220 @t178)) % 158.49/158.89 (define @t229 () (= @t228 @t227)) % 158.49/158.89 (define @t230 () (tptp.mem @t220 @t54)) % 158.49/158.89 (define @t231 () (= @t220 tptp.e)) % 158.49/158.89 (define @t232 () (= @t231 @t230)) % 158.49/158.89 (define @t233 () (= tptp.e @t220)) % 158.49/158.89 (define @t234 () (= @t230 @t233)) % 158.49/158.89 (define @t235 () (tptp.mem @t220 tptp.e)) % 158.49/158.89 (define @t236 () (not @t235)) % 158.49/158.89 (define @t237 () (or @t236 @t221)) % 158.49/158.89 (define @t238 () (or @t235 @t230)) % 158.49/158.89 (define @t239 () (tptp.mem @t220 @t63)) % 158.49/158.89 (define @t240 () (= @t239 @t238)) % 158.49/158.89 (define @t241 () (and @t75 @t71 @t222)) % 158.49/158.89 (define @t242 () (not @t221)) % 158.49/158.89 (define @t243 () (not @t228)) % 158.49/158.89 (define @t244 () (not @t233)) % 158.49/158.89 (define @t245 () (not @t218)) % 158.49/158.89 (define @t246 () (not @t242)) % 158.49/158.89 (define @t247 () (and @t228 @t233 @t186 @t188 @t218 @t242)) % 158.49/158.89 (define @t248 () (not @t216)) % 158.49/158.89 (define @t249 () (tptp.mem @t36 @t36)) % 158.49/158.89 (define @t250 () (= @t36 @t34)) % 158.49/158.89 (define @t251 () (= @t250 @t249)) % 158.49/158.89 (define @t252 () (= @t34 @t36)) % 158.49/158.89 (define @t253 () (= @t249 @t252)) % 158.49/158.89 (define @t254 () (not @t252)) % 158.49/158.89 (define @t255 () (and @t64 @t71 @t75 @t233 @t252 @t242)) % 158.49/158.89 (define @t256 () (not @t249)) % 158.49/158.89 (define @t257 () (tptp.mem @t36 @t54)) % 158.49/158.89 (define @t258 () (= @t36 tptp.e)) % 158.49/158.89 (define @t259 () (= @t258 @t257)) % 158.49/158.89 (define @t260 () (= @t133 @t257)) % 158.49/158.89 (define @t261 () (not @t257)) % 158.49/158.89 (define @t262 () (tptp.mem @t36 tptp.e)) % 158.49/158.89 (define @t263 () (or @t262 @t257)) % 158.49/158.89 (define @t264 () (not @t263)) % 158.49/158.89 (define @t265 () (tptp.mem @t36 @t63)) % 158.49/158.89 (define @t266 () (= @t265 @t263)) % 158.49/158.89 (define @t267 () (not @t265)) % 158.49/158.89 (define @t268 () (tptp.mem @t36 @t34)) % 158.49/158.89 (define @t269 () (not @t268)) % 158.49/158.89 (define @t270 () (and @t75 @t71 @t267)) % 158.49/158.89 (define @t271 () (@list false false true)) % 158.49/158.89 (define @t272 () (or @t268 @t249)) % 158.49/158.89 (define @t273 () (not @t272)) % 158.49/158.89 (define @t274 () (tptp.mem @t36 @t178)) % 158.49/158.89 (define @t275 () (= @t274 @t272)) % 158.49/158.89 (define @t276 () (not @t274)) % 158.49/158.89 (define @t277 () (tptp.mem @t36 @t35)) % 158.49/158.89 (define @t278 () (not @t277)) % 158.49/158.89 (define @t279 () (and @t188 @t186 @t276)) % 158.49/158.89 (define @t280 () (or @t277 @t216)) % 158.49/158.89 (define @t281 () (not @t280)) % 158.49/158.89 (define @t282 () (tptp.u @t35 @t127)) % 158.49/158.89 (define @t283 () (tptp.mem @t36 @t282)) % 158.49/158.89 (define @t284 () (= @t283 @t280)) % 158.49/158.89 (define @t285 () (not @t283)) % 158.49/158.89 (define @t286 () (tptp.mem @t36 @t42)) % 158.49/158.89 (define @t287 () (not @t286)) % 158.49/158.89 (define @t288 () (tptp.a @t35 @t35)) % 158.49/158.89 (define @t289 () (= @t288 @t282)) % 158.49/158.89 (define @t290 () (not @t289)) % 158.49/158.89 (define @t291 () (= @t42 @t288)) % 158.49/158.89 (define @t292 () (not @t291)) % 158.49/158.89 (define @t293 () (and @t291 @t289 @t285)) % 158.49/158.89 (define @t294 () (tptp.subq @t36 @t36)) % 158.49/158.89 (define @t295 () (forall @t6 (or @t144 @t87))) % 158.49/158.89 (define @t296 () (= @t294 @t295)) % 158.49/158.89 (define @t297 () (forall @t10 (= @t8 (forall @t6 (or @t105 @t3))))) % 158.49/158.89 (define @t298 () (tptp.mem @t36 @t39)) % 158.49/158.89 (define @t299 () (= @t294 @t298)) % 158.49/158.89 (define @t300 () (tptp.mem @t36 @t98)) % 158.49/158.89 (define @t301 () (not @t298)) % 158.49/158.89 (define @t302 () (not @t102)) % 158.49/158.89 (define @t303 () (not @t300)) % 158.49/158.89 (define @t304 () (not @t303)) % 158.49/158.89 (define @t305 () (and @t298 @t102 @t303)) % 158.49/158.89 (define @t306 () (not @t117)) % 158.49/158.89 (define @t307 () (tptp.mem @t36 @t37)) % 158.49/158.89 (define @t308 () (= (= @t36 @t36) @t307)) % 158.49/158.89 (define @t309 () (or @t307 @t216)) % 158.49/158.89 (define @t310 () (tptp.mem @t36 @t198)) % 158.49/158.89 (define @t311 () (= @t310 @t309)) % 158.49/158.89 (define @t312 () (not @t310)) % 158.49/158.89 (define @t313 () (not @t122)) % 158.49/158.89 (define @t314 () (= @t38 @t198)) % 158.49/158.89 (define @t315 () (not @t314)) % 158.49/158.89 (define @t316 () (and @t310 @t314 @t122 @t303)) % 158.49/158.89 (define @t317 () (or @t303 @t286)) % 158.49/158.89 (define @t318 () (not @t317)) % 158.49/158.89 (define @t319 () (forall @t6 (or (not (tptp.mem @t2 @t98)) (tptp.mem @t2 @t42)))) % 158.49/158.89 (define @t320 () (= @t210 @t319)) % 158.49/158.89 (define @t321 () (not @t210)) % 158.49/158.89 (define @t322 () (not @t211)) % 158.49/158.89 (define @t323 () (and @t211 (not (tptp.mem @t98 @t43)))) % 158.49/158.89 (define @t324 () (not @t323)) % 158.49/158.89 (define @t325 () (= @t207 @t323)) % 158.49/158.89 (define @t326 () (not @t207)) % 158.49/158.89 (define @t327 () (not @t125)) % 158.49/158.89 (define @t328 () (not @t205)) % 158.49/158.89 (define @t329 () (and @t201 @t314 @t122 @t205 @t125)) % 158.49/158.89 (define @t330 () (tptp.mem @t34 @t47)) % 158.49/158.89 (define @t331 () (not @t330)) % 158.49/158.89 (define @t332 () (and @t205 @t102 @t96)) % 158.49/158.89 (define @t333 () (tptp.mem @t34 @t46)) % 158.49/158.89 (define @t334 () (or @t175 @t333)) % 158.49/158.89 (define @t335 () (= @t330 @t334)) % 158.49/158.89 (define @t336 () (not @t334)) % 158.49/158.89 (define @t337 () (not @t333)) % 158.49/158.89 (define @t338 () (or @t129 (tptp.mem @t34 @t37))) % 158.49/158.89 (define @t339 () (tptp.u @t36 @t37)) % 158.49/158.89 (define @t340 () (tptp.mem @t34 @t339)) % 158.49/158.89 (define @t341 () (= @t340 @t338)) % 158.49/158.89 (define @t342 () (not @t340)) % 158.49/158.89 (define @t343 () (tptp.a @t36 @t36)) % 158.49/158.89 (define @t344 () (= @t343 @t339)) % 158.49/158.89 (define @t345 () (not @t344)) % 158.49/158.89 (define @t346 () (= @t46 @t343)) % 158.49/158.89 (define @t347 () (not @t346)) % 158.49/158.89 (define @t348 () (and @t340 @t344 @t346 @t337)) % 158.49/158.89 (assume @p1 @t11) % 158.49/158.89 (assume @p2 @t15) % 158.49/158.89 (assume @p3 @t21) % 158.49/158.89 (assume @p4 (forall @t22 (not (tptp.mem @t4 tptp.e)))) % 158.49/158.89 (assume @p5 @t25) % 158.49/158.89 (assume @p6 (forall @t28 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t27 @t26)))) % 158.49/158.89 (assume @p7 (forall @t28 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t27 (not @t26))))) % 158.49/158.89 (assume @p8 (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t23)))) % 158.49/158.89 (assume @p9 (forall @t22 (= (tptp.n @t4) (tptp.a @t4 @t4)))) % 158.49/158.89 (assume @p10 @t31) % 158.49/158.89 (assume @p11 (forall @t22 (= (tptp.atleast2p @t4) (exists @t32 (and (tptp.mem @t1 @t4) (not (tptp.subq @t4 @t29))))))) % 158.49/158.89 (assume @p12 (forall @t22 (= (tptp.atleast3p @t4) (exists @t32 (and @t13 (tptp.atleast2p @t1) @t33))))) % 158.49/158.89 (assume @p13 (forall @t22 (= (tptp.atleast4p @t4) (exists @t32 (and @t13 (tptp.atleast3p @t1) @t33))))) % 158.49/158.89 (assume @p14 (forall @t22 (= (tptp.atleast5p @t4) (exists @t32 (and @t13 (tptp.atleast4p @t1) @t33))))) % 158.49/158.89 (assume @p15 (forall @t22 (= (tptp.atleast6p @t4) (exists @t32 (and @t13 (tptp.atleast5p @t1) @t33))))) % 158.49/158.89 (assume @p16 (forall @t22 (= (tptp.atleast7p @t4) (exists @t32 (and @t13 (tptp.atleast6p @t1) @t33))))) % 158.49/158.89 (assume @p17 (forall @t22 (= (tptp.atleast8p @t4) (exists @t32 (and @t13 (tptp.atleast7p @t1) @t33))))) % 158.49/158.89 (assume @p18 (forall @t22 (= (tptp.atleast9p @t4) (exists @t32 (and @t13 (tptp.atleast8p @t1) @t33))))) % 158.49/158.89 (assume @p19 (forall @t22 (= (tptp.atleast10p @t4) (exists @t32 (and @t13 (tptp.atleast9p @t1) @t33))))) % 158.49/158.89 (assume @p20 (forall @t22 (= (tptp.atleast11p @t4) (exists @t32 (and @t13 (tptp.atleast10p @t1) @t33))))) % 158.49/158.89 (assume @p21 (forall @t22 (= (tptp.atleast12p @t4) (exists @t32 (and @t13 (tptp.atleast11p @t1) @t33))))) % 158.49/158.89 (assume @p22 (forall @t22 (= (tptp.atleast13p @t4) (exists @t32 (and @t13 (tptp.atleast12p @t1) @t33))))) % 158.49/158.89 (assume @p23 (forall @t22 (= (tptp.atleast14p @t4) (exists @t32 (and @t13 (tptp.atleast13p @t1) @t33))))) % 158.49/158.89 (assume @p24 (forall @t22 (= (tptp.atleast15p @t4) (exists @t32 (and @t13 (tptp.atleast14p @t1) @t33))))) % 158.49/158.89 (assume @p25 (forall @t22 (= (tptp.atleast16p @t4) (exists @t32 (and @t13 (tptp.atleast15p @t1) @t33))))) % 158.49/158.89 (assume @p26 (not @t50)) % 158.49/158.89 (assume @p27 true) % 158.49/158.89 (step @p28 :rule instantiate :premises (@p9) :args (@t51)) % 158.49/158.89 (step @p29 :rule instantiate :premises (@p8) :args (@t52)) % 158.49/158.89 (step @p30 :rule instantiate :premises (@p6) :args ((@list @t34 @t34 @t46))) % 158.49/158.89 (step @p31 :rule eq-symm :args (@t30 @t8)) % 158.49/158.89 (step @p32 :rule cong :premises (@p31) :args (@t31)) % 158.49/158.89 (step @p33 :rule eq_resolve :premises (@p10 @p32)) % 158.49/158.89 (step @p34 :rule instantiate :premises (@p33) :args (@t53)) % 158.49/158.89 (step @p35 :rule bool-impl-elim :args (@t5 @t3)) % 158.49/158.89 (step @p36 :rule cong :premises (@p35) :args (@t7)) % 158.49/158.89 (step @p37 :rule refl :args (@t8)) % 158.49/158.89 (step @p38 :rule cong :premises (@p37 @p36) :args (@t9)) % 158.49/158.89 (step @p39 :rule cong :premises (@p38) :args (@t11)) % 158.49/158.89 (step @p40 :rule eq_resolve :premises (@p1 @p39)) % 158.49/158.89 (step @p41 :rule instantiate :premises (@p40) :args (@t53)) % 158.49/158.89 (step @p42 :rule instantiate :premises (@p6) :args ((@list tptp.e tptp.e @t54))) % 158.49/158.89 (step @p43 :rule eq-symm :args (@t24 @t12)) % 158.49/158.89 (step @p44 :rule cong :premises (@p43) :args (@t25)) % 158.49/158.89 (step @p45 :rule eq_resolve :premises (@p5 @p44)) % 158.49/158.89 (step @p46 :rule bool-eq-true :args (@t55)) % 158.49/158.89 (step @p47 :rule eq-symm :args (true @t55)) % 158.49/158.89 (step @p48 :rule trans :premises (@p47 @p46)) % 158.49/158.89 (step @p49 :rule refl :args (@t55)) % 158.49/158.89 (step @p50 :rule eq-refl :args (tptp.e)) % 158.49/158.89 (step @p51 :rule cong :premises (@p50 @p49) :args (@t56)) % 158.49/158.89 (step @p52 :rule trans :premises (@p51 @p48)) % 158.49/158.89 (step @p53 :rule refl :args (@t57)) % 158.49/158.89 (step @p54 :rule cong :premises (@p53 @p52) :args ((=> @t57 @t56))) % 158.49/158.89 (assume-push @p1033 @t57) % 158.49/158.89 (step @p56 :rule instantiate :premises (@p45) :args (@t58)) % 158.49/158.89 (step-pop @p1034 :rule scope :premises (@p56)) % 158.49/158.89 (step @p57 :rule process_scope :premises (@p1034) :args (@t56)) % 158.49/158.89 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 158.49/158.89 (step @p60 :rule implies_elim :premises (@p59)) % 158.49/158.89 (step @p61 :rule chain_m_resolution :premises (@p60 @p45) :args (@t55 @t59 @t60)) % 158.49/158.89 (step @p62 :rule cnf_or_neg :args (@t62 1)) % 158.49/158.89 (step @p63 :rule reordering :premises (@p62) :args ((or (not @t55) @t62))) % 158.49/158.89 (step @p64 :rule chain_m_resolution :premises (@p63 @p61) :args (@t62 @t59 (@list @t55))) % 158.49/158.89 (step @p65 :rule cnf_equiv_pos2 :args (@t65)) % 158.49/158.89 (step @p66 :rule reordering :premises (@p65) :args ((or @t64 (not @t62) (not @t65)))) % 158.49/158.89 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p42) :args (@t64 @t66 (@list @t62 @t65))) % 158.49/158.89 (step @p68 :rule true_intro :premises (@p67)) % 158.49/158.89 (step @p69 :rule instantiate :premises (@p8) :args (@t58)) % 158.49/158.89 (step @p70 :rule instantiate :premises (@p9) :args (@t67)) % 158.49/158.89 (step @p71 :rule trans :premises (@p70 @p69)) % 158.49/158.89 (step @p72 :rule refl :args (tptp.e)) % 158.49/158.89 (step @p73 :rule cong :premises (@p72 @p71) :args (@t68)) % 158.49/158.89 (step @p74 :rule trans :premises (@p73 @p68)) % 158.49/158.89 (step @p75 :rule true_elim :premises (@p74)) % 158.49/158.89 (step @p76 :rule instantiate :premises (@p45) :args ((@list tptp.e @t34))) % 158.49/158.89 (step @p77 :rule instantiate :premises (@p4) :args (@t67)) % 158.49/158.89 (step @p78 :rule refl :args (@t69)) % 158.49/158.89 (step @p79 :rule refl :args (@t72)) % 158.49/158.89 (step @p80 :rule bool-double-not-elim :args (@t61)) % 158.49/158.89 (step @p81 :rule refl :args (@t74)) % 158.49/158.89 (step @p82 :rule refl :args (@t76)) % 158.49/158.89 (step @p83 :rule nary_cong :premises (@p82 @p81 @p80 @p79 @p78) :args ((or @t76 @t74 (not @t77) @t72 @t69))) % 158.49/158.89 (assume-push @p1035 @t64) % 158.49/158.89 (assume-push @p1036 @t71) % 158.49/158.89 (assume-push @p1037 @t75) % 158.49/158.89 (assume-push @p1038 @t73) % 158.49/158.89 (assume-push @p1039 @t77) % 158.49/158.89 (step @p89 :rule evaluate :args (@t78)) % 158.49/158.89 (step @p90 :rule cong :premises (@p72 @p1038) :args (@t61)) % 158.49/158.89 (step @p91 :rule false_intro :premises (@p77)) % 158.49/158.89 (step @p92 :rule symm :premises (@p91)) % 158.49/158.89 (step @p93 :rule trans :premises (@p92 @p90 @p73 @p68)) % 158.49/158.89 (step @p94 false :rule eq_resolve :premises (@p93 @p89)) % 158.49/158.89 (step-pop @p1040 :rule scope :premises (@p94)) % 158.49/158.89 (step-pop @p1041 :rule scope :premises (@p1040)) % 158.49/158.89 (step-pop @p1042 :rule scope :premises (@p1041)) % 158.49/158.89 (step-pop @p1043 :rule scope :premises (@p1042)) % 158.49/158.89 (step-pop @p1044 :rule scope :premises (@p1043)) % 158.49/158.89 (step @p95 :rule process_scope :premises (@p1044) :args (false)) % 158.49/158.89 (assume-push @p1045 @t75) % 158.49/158.89 (assume-push @p1046 @t73) % 158.49/158.89 (assume-push @p1047 @t77) % 158.49/158.89 (assume-push @p1048 @t71) % 158.49/158.89 (assume-push @p1049 @t64) % 158.49/158.89 (step @p106 :rule and_intro :premises (@p67 @p69 @p70 @p1046 @p77)) % 158.49/158.89 (step-pop @p1050 :rule scope :premises (@p106)) % 158.49/158.89 (step-pop @p1051 :rule scope :premises (@p1050)) % 158.49/158.89 (step-pop @p1052 :rule scope :premises (@p1051)) % 158.49/158.89 (step-pop @p1053 :rule scope :premises (@p1052)) % 158.49/158.89 (step-pop @p1054 :rule scope :premises (@p1053)) % 158.49/158.89 (step @p107 :rule process_scope :premises (@p1054) :args (@t79)) % 158.49/158.89 (step @p113 :rule implies_elim :premises (@p107)) % 158.49/158.89 (step @p114 :rule resolution :premises (@p113 @p95) :args (true @t79)) % 158.49/158.89 (step @p115 :rule not_and :premises (@p114)) % 158.49/158.89 (step @p116 :rule eq_resolve :premises (@p115 @p83)) % 158.49/158.89 (step @p117 :rule reordering :premises (@p116) :args ((or @t61 @t76 @t74 @t72 @t69))) % 158.49/158.89 (step @p118 :rule chain_m_resolution :premises (@p117 @p77 @p70 @p69 @p67) :args (@t74 (@list true false false false) (@list @t61 @t75 @t71 @t64))) % 158.49/158.89 (step @p119 :rule cnf_equiv_pos2 :args (@t81)) % 158.49/158.89 (step @p120 :rule reordering :premises (@p119) :args ((or @t73 @t82 (not @t81)))) % 158.49/158.89 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p76) :args (@t82 @t83 (@list @t73 @t81))) % 158.49/158.89 (step @p122 :rule cnf_or_pos :args (@t85)) % 158.49/158.89 (step @p123 :rule reordering :premises (@p122) :args ((or @t80 @t84 @t86))) % 158.49/158.89 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p75) :args (@t86 @t83 (@list @t80 @t68))) % 158.49/158.89 (assume-push @p1055 @t88) % 158.49/158.89 (step @p126 :rule instantiate :premises (@p1055) :args (@t67)) % 158.49/158.89 (step-pop @p1056 :rule scope :premises (@p126)) % 158.49/158.89 (step @p127 :rule process_scope :premises (@p1056) :args (@t85)) % 158.49/158.89 (step @p129 :rule implies_elim :premises (@p127)) % 158.49/158.89 (step @p130 :rule chain_m_resolution :premises (@p129 @p124) :args (@t89 @t90 (@list @t85))) % 158.49/158.89 (step @p131 :rule cnf_equiv_pos1 :args (@t92)) % 158.49/158.89 (step @p132 :rule reordering :premises (@p131) :args ((or @t88 @t93 (not @t92)))) % 158.49/158.89 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p41) :args (@t93 @t83 (@list @t88 @t92))) % 158.49/158.89 (step @p134 :rule cnf_equiv_pos2 :args (@t95)) % 158.49/158.89 (step @p135 :rule reordering :premises (@p134) :args ((or @t91 @t96 (not @t95)))) % 158.49/158.89 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p34) :args (@t96 @t83 (@list @t91 @t95))) % 158.49/158.89 (step @p137 :rule eq-symm :args (@t98 @t39)) % 158.49/158.89 (step @p138 :rule refl :args (@t99)) % 158.49/158.89 (step @p139 :rule cong :premises (@p138 @p137) :args ((= @t99 @t100))) % 158.49/158.89 (step @p140 :rule eq-symm :args (@t100 @t99)) % 158.49/158.89 (step @p141 :rule trans :premises (@p140 @p139)) % 158.49/158.89 (step @p142 :rule cong :premises (@p53 @p141) :args ((=> @t57 @t101))) % 158.49/158.89 (assume-push @p1057 @t57) % 158.49/158.89 (step @p144 :rule instantiate :premises (@p45) :args ((@list @t98 @t39))) % 158.49/158.89 (step-pop @p1058 :rule scope :premises (@p144)) % 158.49/158.89 (step @p145 :rule process_scope :premises (@p1058) :args (@t101)) % 158.49/158.89 (step @p147 :rule eq_resolve :premises (@p145 @p142)) % 158.49/158.89 (step @p148 :rule implies_elim :premises (@p147)) % 158.49/158.89 (step @p149 :rule chain_m_resolution :premises (@p148 @p45) :args (@t103 @t59 @t60)) % 158.49/158.89 (step @p150 :rule instantiate :premises (@p6) :args ((@list @t98 @t40 @t104))) % 158.49/158.89 (step @p151 :rule bool-double-not-elim :args ((forall @t6 (or @t105 (not @t3))))) % 158.49/158.89 (step @p152 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 158.49/158.89 (step @p153 :rule cong :premises (@p152) :args (@t106)) % 158.49/158.89 (step @p154 :rule cong :premises (@p153) :args (@t107)) % 158.49/158.89 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eq_resolve :premises (@p839 @p836)) % 158.49/158.89 (step @p842 :rule implies_elim :premises (@p841)) % 158.49/158.89 (step @p843 :rule chain_m_resolution :premises (@p842 @p45) :args (@t307 @t59 @t60)) % 158.49/158.89 (step @p844 :rule cnf_or_neg :args (@t309 0)) % 158.49/158.89 (step @p845 :rule chain_m_resolution :premises (@p844 @p843) :args (@t309 @t59 (@list @t307))) % 158.49/158.89 (step @p846 :rule cnf_equiv_pos2 :args (@t311)) % 158.49/158.89 (step @p847 :rule reordering :premises (@p846) :args ((or @t310 (not @t309) (not @t311)))) % 158.49/158.89 (step @p848 :rule chain_m_resolution :premises (@p847 @p845 @p828) :args (@t310 @t66 (@list @t309 @t311))) % 158.49/158.89 (step @p849 :rule refl :args (@t312)) % 158.49/158.89 (step @p850 :rule refl :args (@t313)) % 158.49/158.89 (step @p851 :rule refl :args (@t315)) % 158.49/158.89 (step @p852 :rule nary_cong :premises (@p851 @p850 @p790 @p849) :args ((or @t315 @t313 @t304 @t312))) % 158.49/158.89 (assume-push @p1233 @t310) % 158.49/158.89 (assume-push @p1234 @t314) % 158.49/158.89 (assume-push @p1235 @t122) % 158.49/158.89 (assume-push @p1236 @t303) % 158.49/158.89 (step @p89 :rule evaluate :args (@t78)) % 158.49/158.89 (step @p857 :rule true_intro :premises (@p848)) % 158.49/158.89 (step @p858 :rule symm :premises (@p1235)) % 158.49/158.89 (step @p859 :rule trans :premises (@p858 @p827)) % 158.49/158.89 (step @p674 :rule refl :args (@t36)) % 158.49/158.89 (step @p860 :rule cong :premises (@p674 @p859) :args (@t300)) % 158.49/158.89 (step @p861 :rule false_intro :premises (@p1236)) % 158.49/158.89 (step @p862 :rule symm :premises (@p861)) % 158.49/158.89 (step @p863 :rule trans :premises (@p862 @p860 @p857)) % 158.49/158.89 (step @p864 false :rule eq_resolve :premises (@p863 @p89)) % 158.49/158.89 (step-pop @p1237 :rule scope :premises (@p864)) % 158.49/158.89 (step-pop @p1238 :rule scope :premises (@p1237)) % 158.49/158.89 (step-pop @p1239 :rule scope :premises (@p1238)) % 158.49/158.89 (step-pop @p1240 :rule scope :premises (@p1239)) % 158.49/158.89 (step @p865 :rule process_scope :premises (@p1240) :args (false)) % 158.49/158.89 (assume-push @p1241 @t314) % 158.49/158.89 (assume-push @p1242 @t122) % 158.49/158.89 (assume-push @p1243 @t303) % 158.49/158.89 (assume-push @p1244 @t310) % 158.49/158.89 (step @p874 :rule and_intro :premises (@p848 @p827 @p1242 @p1243)) % 158.49/158.89 (step-pop @p1245 :rule scope :premises (@p874)) % 158.49/158.89 (step-pop @p1246 :rule scope :premises (@p1245)) % 158.49/158.89 (step-pop @p1247 :rule scope :premises (@p1246)) % 158.49/158.89 (step-pop @p1248 :rule scope :premises (@p1247)) % 158.49/158.89 (step @p875 :rule process_scope :premises (@p1248) :args (@t316)) % 158.49/158.89 (step @p880 :rule implies_elim :premises (@p875)) % 158.49/158.89 (step @p881 :rule resolution :premises (@p880 @p865) :args (true @t316)) % 158.49/158.89 (step @p882 :rule not_and :premises (@p881)) % 158.49/158.89 (step @p883 :rule eq_resolve :premises (@p882 @p852)) % 158.49/158.89 (step @p884 :rule chain_m_resolution :premises (@p883 @p848 @p827 @p826 @p197 @p824 @p184 @p822 @p149 @p820 @p789) :args (@t300 (@list false false false false false false true false true false) (@list @t310 @t314 @t122 @t123 @t117 @t118 @t99 @t103 @t102 @t298))) % 158.49/158.89 (step @p885 :rule cnf_or_pos :args (@t317)) % 158.49/158.89 (step @p886 :rule reordering :premises (@p885) :args ((or @t303 @t286 @t318))) % 158.49/158.89 (step @p887 :rule chain_m_resolution :premises (@p886 @p884 @p768) :args (@t318 (@list false true) (@list @t300 @t286))) % 158.49/158.89 (assume-push @p1249 @t319) % 158.49/158.89 (step @p889 :rule instantiate :premises (@p1249) :args (@t51)) % 158.49/158.89 (step-pop @p1250 :rule scope :premises (@p889)) % 158.49/158.89 (step @p890 :rule process_scope :premises (@p1250) :args (@t317)) % 158.49/158.89 (step @p892 :rule implies_elim :premises (@p890)) % 158.49/158.89 (step @p893 :rule chain_m_resolution :premises (@p892 @p887) :args ((not @t319) @t90 (@list @t317))) % 158.49/158.89 (step @p894 :rule cnf_equiv_pos1 :args (@t320)) % 158.49/158.89 (step @p895 :rule reordering :premises (@p894) :args ((or @t321 @t319 (not @t320)))) % 158.49/158.89 (step @p896 :rule chain_m_resolution :premises (@p895 @p893 @p434) :args (@t321 @t83 (@list @t319 @t320))) % 158.49/158.89 (step @p897 :rule cnf_equiv_pos1 :args (@t215)) % 158.49/158.89 (step @p898 :rule reordering :premises (@p897) :args ((or @t322 @t210 (not @t215)))) % 158.49/158.89 (step @p899 :rule chain_m_resolution :premises (@p898 @p896 @p433) :args (@t322 @t83 (@list @t210 @t215))) % 158.49/158.89 (step @p900 :rule cnf_and_pos :args (@t323 0)) % 158.49/158.89 (step @p901 :rule reordering :premises (@p900) :args ((or @t211 @t324))) % 158.49/158.89 (step @p902 :rule chain_m_resolution :premises (@p901 @p899) :args (@t324 @t90 (@list @t211))) % 158.49/158.89 (step @p903 :rule cnf_equiv_pos1 :args (@t325)) % 158.49/158.89 (step @p904 :rule reordering :premises (@p903) :args ((or @t326 @t323 (not @t325)))) % 158.49/158.89 (step @p905 :rule chain_m_resolution :premises (@p904 @p902 @p423) :args (@t326 @t83 (@list @t323 @t325))) % 158.49/158.89 (step @p906 :rule cnf_or_pos :args (@t208)) % 158.49/158.89 (step @p907 :rule reordering :premises (@p906) :args ((or @t202 @t207 (not @t208)))) % 158.49/158.89 (step @p908 :rule chain_m_resolution :premises (@p907 @p905 @p422) :args (@t202 @t83 (@list @t207 @t208))) % 158.49/158.89 (step @p909 :rule cnf_equiv_pos1 :args (@t206)) % 158.49/158.89 (step @p910 :rule reordering :premises (@p909) :args ((or (not @t202) @t205 (not @t206)))) % 158.49/158.89 (step @p911 :rule chain_m_resolution :premises (@p910 @p908 @p412) :args (@t205 @t66 (@list @t202 @t206))) % 158.49/158.89 (step @p912 :rule refl :args (@t327)) % 158.49/158.89 (step @p913 :rule bool-double-not-elim :args (@t199)) % 158.49/158.89 (step @p914 :rule refl :args (@t328)) % 158.49/158.89 (step @p915 :rule nary_cong :premises (@p851 @p914 @p850 @p913 @p912) :args ((or @t315 @t328 @t313 (not @t201) @t327))) % 158.49/158.89 (assume-push @p1251 @t201) % 158.49/158.89 (assume-push @p1252 @t314) % 158.49/158.89 (assume-push @p1253 @t122) % 158.49/158.89 (assume-push @p1254 @t205) % 158.49/158.89 (assume-push @p1255 @t125) % 158.49/158.89 (step @p230 :rule evaluate :args (@t138)) % 158.49/158.89 (step @p921 :rule false_intro :premises (@p1251)) % 158.49/158.89 (step @p922 :rule symm :premises (@p1253)) % 158.49/158.89 (step @p923 :rule trans :premises (@p1254 @p922 @p827)) % 158.49/158.89 (step @p924 :rule cong :premises (@p72 @p923) :args (@t125)) % 158.49/158.89 (step @p925 :rule true_intro :premises (@p204)) % 158.49/158.89 (step @p926 :rule symm :premises (@p925)) % 158.49/158.89 (step @p927 :rule trans :premises (@p926 @p924 @p921)) % 158.49/158.89 (step @p928 false :rule eq_resolve :premises (@p927 @p230)) % 158.49/158.89 (step-pop @p1256 :rule scope :premises (@p928)) % 158.49/158.89 (step-pop @p1257 :rule scope :premises (@p1256)) % 158.49/158.89 (step-pop @p1258 :rule scope :premises (@p1257)) % 158.49/158.89 (step-pop @p1259 :rule scope :premises (@p1258)) % 158.49/158.89 (step-pop @p1260 :rule scope :premises (@p1259)) % 158.49/158.89 (step @p929 :rule process_scope :premises (@p1260) :args (false)) % 158.49/158.89 (assume-push @p1261 @t314) % 158.49/158.89 (assume-push @p1262 @t205) % 158.49/158.89 (assume-push @p1263 @t122) % 158.49/158.89 (assume-push @p1264 @t201) % 158.49/158.89 (assume-push @p1265 @t125) % 158.49/158.89 (step @p940 :rule and_intro :premises (@p1264 @p827 @p1263 @p1262 @p204)) % 158.49/158.89 (step-pop @p1266 :rule scope :premises (@p940)) % 158.49/158.89 (step-pop @p1267 :rule scope :premises (@p1266)) % 158.49/158.89 (step-pop @p1268 :rule scope :premises (@p1267)) % 158.49/158.89 (step-pop @p1269 :rule scope :premises (@p1268)) % 158.49/158.89 (step-pop @p1270 :rule scope :premises (@p1269)) % 158.49/158.89 (step @p941 :rule process_scope :premises (@p1270) :args (@t329)) % 158.49/158.89 (step @p947 :rule implies_elim :premises (@p941)) % 158.49/158.89 (step @p948 :rule resolution :premises (@p947 @p929) :args (true @t329)) % 158.49/158.89 (step @p949 :rule not_and :premises (@p948)) % 158.49/158.89 (step @p950 :rule eq_resolve :premises (@p949 @p915)) % 158.49/158.89 (step @p951 :rule chain_m_resolution :premises (@p950 @p827 @p911 @p399 @p204) :args (@t313 (@list false false true false) (@list @t314 @t205 @t199 @t125))) % 158.49/158.89 (step @p952 :rule chain_m_resolution :premises (@p826 @p951 @p197) :args (@t306 @t83 (@list @t122 @t123))) % 158.49/158.89 (step @p953 :rule chain_m_resolution :premises (@p824 @p952 @p184) :args (@t99 @t83 (@list @t117 @t118))) % 158.49/158.89 (step @p954 :rule chain_m_resolution :premises (@p822 @p953 @p149) :args (@t102 @t66 (@list @t99 @t103))) % 158.49/158.89 (step @p955 :rule refl :args (@t331)) % 158.49/158.89 (step @p956 :rule bool-double-not-elim :args (@t94)) % 158.49/158.89 (step @p957 :rule nary_cong :premises (@p914 @p792 @p956 @p955) :args ((or @t328 @t302 (not @t96) @t331))) % 158.49/158.89 (assume-push @p1271 @t205) % 158.49/158.89 (assume-push @p1272 @t102) % 158.49/158.89 (assume-push @p1273 @t96) % 158.49/158.89 (assume-push @p1274 @t96) % 158.49/158.89 (assume-push @p1275 @t102) % 158.49/158.89 (assume-push @p1276 @t205) % 158.49/158.89 (step @p964 :rule false_intro :premises (@p1273)) % 158.49/158.89 (step @p965 :rule symm :premises (@p1272)) % 158.49/158.89 (step @p233 :rule refl :args (@t34)) % 158.49/158.89 (step @p966 :rule cong :premises (@p233 @p965) :args ((tptp.mem @t34 @t98))) % 158.49/158.89 (step @p967 :rule cong :premises (@p233 @p1271) :args (@t330)) % 158.49/158.89 (step @p968 :rule trans :premises (@p967 @p966 @p964)) % 158.49/158.89 (step @p969 :rule false_elim :premises (@p968)) % 158.49/158.89 (step-pop @p1277 :rule scope :premises (@p969)) % 158.49/158.89 (step-pop @p1278 :rule scope :premises (@p1277)) % 158.49/158.89 (step-pop @p1279 :rule scope :premises (@p1278)) % 158.49/158.89 (step @p970 :rule process_scope :premises (@p1279) :args (@t331)) % 158.49/158.89 (step @p974 :rule and_intro :premises (@p1273 @p1272 @p1271)) % 158.49/158.89 (step @p975 :rule modus_ponens :premises (@p974 @p970)) % 158.49/158.89 (step-pop @p1280 :rule scope :premises (@p975)) % 158.49/158.89 (step-pop @p1281 :rule scope :premises (@p1280)) % 158.49/158.89 (step-pop @p1282 :rule scope :premises (@p1281)) % 158.49/158.89 (step @p976 :rule process_scope :premises (@p1282) :args (@t331)) % 158.49/158.89 (step @p980 :rule implies_elim :premises (@p976)) % 158.49/158.89 (step @p981 :rule cnf_and_neg :args (@t332)) % 158.49/158.89 (step @p982 :rule resolution :premises (@p981 @p980) :args (true @t332)) % 158.49/158.89 (step @p983 :rule eq_resolve :premises (@p982 @p957)) % 158.49/158.89 (step @p984 :rule chain_m_resolution :premises (@p983 @p911 @p954 @p136) :args (@t331 @t271 (@list @t205 @t102 @t94))) % 158.49/158.89 (step @p985 :rule cnf_equiv_pos2 :args (@t335)) % 158.49/158.89 (step @p986 :rule reordering :premises (@p985) :args ((or @t330 @t336 (not @t335)))) % 158.49/158.89 (step @p987 :rule chain_m_resolution :premises (@p986 @p984 @p30) :args (@t336 @t83 (@list @t330 @t335))) % 158.49/158.89 (step @p988 :rule cnf_or_neg :args (@t334 1)) % 158.49/158.89 (step @p989 :rule chain_m_resolution :premises (@p988 @p987) :args (@t337 @t90 (@list @t334))) % 158.49/158.89 (step @p990 :rule instantiate :premises (@p6) :args ((@list @t34 @t36 @t37))) % 158.49/158.89 (step @p991 :rule cnf_or_neg :args (@t338 0)) % 158.49/158.89 (step @p992 :rule reordering :premises (@p991) :args ((or @t135 @t338))) % 158.49/158.89 (step @p993 :rule chain_m_resolution :premises (@p992 @p221) :args (@t338 @t59 @t177)) % 158.49/158.89 (step @p994 :rule cnf_equiv_pos2 :args (@t341)) % 158.49/158.89 (step @p995 :rule reordering :premises (@p994) :args ((or @t340 (not @t338) (not @t341)))) % 158.49/158.89 (step @p996 :rule chain_m_resolution :premises (@p995 @p993 @p990) :args (@t340 @t66 (@list @t338 @t341))) % 158.49/158.89 (step @p997 :rule refl :args (@t342)) % 158.49/158.89 (step @p998 :rule bool-double-not-elim :args (@t333)) % 158.49/158.89 (step @p999 :rule refl :args (@t345)) % 158.49/158.89 (step @p1000 :rule refl :args (@t347)) % 158.49/158.89 (step @p1001 :rule nary_cong :premises (@p1000 @p999 @p998 @p997) :args ((or @t347 @t345 (not @t337) @t342))) % 158.49/158.89 (assume-push @p1283 @t340) % 158.49/158.89 (assume-push @p1284 @t344) % 158.49/158.89 (assume-push @p1285 @t346) % 158.49/158.89 (assume-push @p1286 @t337) % 158.49/158.89 (step @p89 :rule evaluate :args (@t78)) % 158.49/158.89 (step @p1006 :rule true_intro :premises (@p996)) % 158.49/158.89 (step @p1007 :rule trans :premises (@p28 @p29)) % 158.49/158.89 (step @p233 :rule refl :args (@t34)) % 158.49/158.89 (step @p1008 :rule cong :premises (@p233 @p1007) :args (@t333)) % 158.49/158.89 (step @p1009 :rule false_intro :premises (@p1286)) % 158.49/158.89 (step @p1010 :rule symm :premises (@p1009)) % 158.49/158.89 (step @p1011 :rule trans :premises (@p1010 @p1008 @p1006)) % 158.49/158.89 (step @p1012 false :rule eq_resolve :premises (@p1011 @p89)) % 158.49/158.89 (step-pop @p1287 :rule scope :premises (@p1012)) % 158.49/158.89 (step-pop @p1288 :rule scope :premises (@p1287)) % 158.49/158.89 (step-pop @p1289 :rule scope :premises (@p1288)) % 158.49/158.89 (step-pop @p1290 :rule scope :premises (@p1289)) % 158.49/158.89 (step @p1013 :rule process_scope :premises (@p1290) :args (false)) % 158.49/158.89 (assume-push @p1291 @t346) % 158.49/158.89 (assume-push @p1292 @t344) % 158.49/158.89 (assume-push @p1293 @t337) % 158.49/158.89 (assume-push @p1294 @t340) % 158.49/158.89 (step @p1022 :rule and_intro :premises (@p996 @p29 @p28 @p1293)) % 158.49/158.89 (step-pop @p1295 :rule scope :premises (@p1022)) % 158.49/158.89 (step-pop @p1296 :rule scope :premises (@p1295)) % 158.49/158.89 (step-pop @p1297 :rule scope :premises (@p1296)) % 158.49/158.89 (step-pop @p1298 :rule scope :premises (@p1297)) % 158.49/158.89 (step @p1023 :rule process_scope :premises (@p1298) :args (@t348)) % 158.49/158.89 (step @p1028 :rule implies_elim :premises (@p1023)) % 158.49/158.89 (step @p1029 :rule resolution :premises (@p1028 @p1013) :args (true @t348)) % 158.49/158.89 (step @p1030 :rule not_and :premises (@p1029)) % 158.49/158.89 (step @p1031 :rule eq_resolve :premises (@p1030 @p1001)) % 158.49/158.89 (step @p1032 false :rule chain_m_resolution :premises (@p1031 @p996 @p989 @p29 @p28) :args (false (@list false true false false) (@list @t340 @t333 @t344 @t346))) % 158.49/158.89 ) % 158.49/158.89 % SZS output end Proof % 158.49/158.89 % cvc5 exiting %------------------------------------------------------------------------------