%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX032+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 : n022.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 09:07:01 AM UTC 2026 % Result : Theorem 0.52s 0.72s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX032+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.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 22:53:53 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.72 % SZS status Theorem % 0.52/0.72 % SZS output start Proof % 0.52/0.72 ( % 0.52/0.72 (declare-sort $$unsorted 0) % 0.52/0.72 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.gr (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const |tptp.'0'| $$unsorted) % 0.52/0.72 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 0.52/0.72 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 0.52/0.72 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (define @t1 () (@var "Xx3" $$unsorted)) % 0.52/0.72 (define @t2 () (tptp.s @t1)) % 0.52/0.72 (define @t3 () (@var "Xx5" $$unsorted)) % 0.52/0.72 (define @t4 () (@var "Xx4" $$unsorted)) % 0.52/0.72 (define @t5 () (tptp.s @t3)) % 0.52/0.72 (define @t6 () (tptp.s @t4)) % 0.52/0.72 (define @t7 () (@list @t4 @t3)) % 0.52/0.72 (define @t8 () (@var "Xx6" $$unsorted)) % 0.52/0.72 (define @t9 () (@var "Xx9" $$unsorted)) % 0.52/0.72 (define @t10 () (@var "Xx8" $$unsorted)) % 0.52/0.72 (define @t11 () (@var "Xx7" $$unsorted)) % 0.52/0.72 (define @t12 () (tptp.times_fails @t11 @t10 @t9)) % 0.52/0.72 (define @t13 () (tptp.times_succeeds @t11 @t10 @t9)) % 0.52/0.72 (define @t14 () (@list @t11 @t10 @t9)) % 0.52/0.72 (define @t15 () (@var "Xx12" $$unsorted)) % 0.52/0.72 (define @t16 () (@var "Xx11" $$unsorted)) % 0.52/0.72 (define @t17 () (@var "Xx10" $$unsorted)) % 0.52/0.72 (define @t18 () (tptp.plus_fails @t17 @t16 @t15)) % 0.52/0.72 (define @t19 () (tptp.plus_succeeds @t17 @t16 @t15)) % 0.52/0.72 (define @t20 () (@list @t17 @t16 @t15)) % 0.52/0.72 (define @t21 () (@var "Xx14" $$unsorted)) % 0.52/0.72 (define @t22 () (@var "Xx13" $$unsorted)) % 0.52/0.72 (define @t23 () (|tptp.'@=<_fails'| @t22 @t21)) % 0.52/0.72 (define @t24 () (|tptp.'@=<_succeeds'| @t22 @t21)) % 0.52/0.72 (define @t25 () (@list @t22 @t21)) % 0.52/0.72 (define @t26 () (@var "Xx16" $$unsorted)) % 0.52/0.72 (define @t27 () (@var "Xx15" $$unsorted)) % 0.52/0.72 (define @t28 () (|tptp.'@<_fails'| @t27 @t26)) % 0.52/0.72 (define @t29 () (|tptp.'@<_succeeds'| @t27 @t26)) % 0.52/0.72 (define @t30 () (@list @t27 @t26)) % 0.52/0.72 (define @t31 () (@var "Xx17" $$unsorted)) % 0.52/0.72 (define @t32 () (tptp.nat_fails @t31)) % 0.52/0.72 (define @t33 () (tptp.nat_succeeds @t31)) % 0.52/0.72 (define @t34 () (@list @t31)) % 0.52/0.72 (define @t35 () (= @t1 |tptp.'0'|)) % 0.52/0.72 (define @t36 () (@var "Xx1" $$unsorted)) % 0.52/0.72 (define @t37 () (= @t36 |tptp.'0'|)) % 0.52/0.72 (define @t38 () (@var "Xx2" $$unsorted)) % 0.52/0.72 (define @t39 () (= @t36 @t6)) % 0.52/0.72 (define @t40 () (@list @t36 @t38 @t1)) % 0.52/0.72 (define @t41 () (not @t37)) % 0.52/0.72 (define @t42 () (tptp.times_fails @t4 @t38 @t3)) % 0.52/0.72 (define @t43 () (not @t39)) % 0.52/0.72 (define @t44 () (or @t41 true)) % 0.52/0.72 (define @t45 () (= @t1 @t38)) % 0.52/0.72 (define @t46 () (= @t1 @t5)) % 0.52/0.72 (define @t47 () (not @t46)) % 0.52/0.72 (define @t48 () (= @t38 @t6)) % 0.52/0.72 (define @t49 () (= @t36 @t2)) % 0.52/0.72 (define @t50 () (@list @t1 @t4)) % 0.52/0.72 (define @t51 () (@list @t36 @t38)) % 0.52/0.72 (define @t52 () (not @t48)) % 0.52/0.72 (define @t53 () (not @t49)) % 0.52/0.72 (define @t54 () (= @t38 @t5)) % 0.52/0.72 (define @t55 () (@list @t3)) % 0.52/0.72 (define @t56 () (tptp.nat_succeeds @t38)) % 0.52/0.72 (define @t57 () (tptp.s @t38)) % 0.52/0.72 (define @t58 () (= @t36 @t57)) % 0.52/0.72 (define @t59 () (@list @t38)) % 0.52/0.72 (define @t60 () (@list @t36)) % 0.52/0.72 (define @t61 () (not @t58)) % 0.52/0.72 (define @t62 () (@var "Xz" $$unsorted)) % 0.52/0.72 (define @t63 () (@var "Xy" $$unsorted)) % 0.52/0.72 (define @t64 () (@var "Xx" $$unsorted)) % 0.52/0.72 (define @t65 () (tptp.plus_succeeds @t64 @t63 @t62)) % 0.52/0.72 (define @t66 () (|tptp.'@+'| @t64 @t63)) % 0.52/0.72 (define @t67 () (tptp.nat_succeeds @t64)) % 0.52/0.72 (define @t68 () (@list @t64 @t63 @t62)) % 0.52/0.72 (define @t69 () (tptp.nat_succeeds @t63)) % 0.52/0.72 (define @t70 () (and @t67 @t69)) % 0.52/0.72 (define @t71 () (@list @t64)) % 0.52/0.72 (define @t72 () (tptp.gr @t64)) % 0.52/0.72 (define @t73 () (tptp.plus_terminates @t64 @t63 @t62)) % 0.52/0.72 (define @t74 () (tptp.nat_succeeds @t62)) % 0.52/0.72 (define @t75 () (tptp.gr @t62)) % 0.52/0.72 (define @t76 () (tptp.gr @t63)) % 0.52/0.72 (define @t77 () (@list @t64 @t63)) % 0.52/0.72 (define @t78 () (@var "Xz2" $$unsorted)) % 0.52/0.72 (define @t79 () (@var "Xz1" $$unsorted)) % 0.52/0.72 (define @t80 () (|tptp.'@+'| |tptp.'0'| @t63)) % 0.52/0.72 (define @t81 () (forall (@list @t63) (= @t80 @t63))) % 0.52/0.72 (define @t82 () (= (|tptp.'@+'| (tptp.s @t64) @t63) (tptp.s @t66))) % 0.52/0.72 (define @t83 () (forall @t77 (=> @t67 @t82))) % 0.52/0.72 (define @t84 () (tptp.nat_succeeds @t66)) % 0.52/0.72 (define @t85 () (forall @t77 (=> @t70 @t84))) % 0.52/0.72 (define @t86 () (|tptp.'@+'| @t63 @t62)) % 0.52/0.72 (define @t87 () (= (|tptp.'@+'| @t66 @t62) (|tptp.'@+'| @t64 @t86))) % 0.52/0.72 (define @t88 () (and @t74 @t69)) % 0.52/0.72 (define @t89 () (@list @t63 @t62)) % 0.52/0.72 (define @t90 () (forall @t89 (=> @t88 @t87))) % 0.52/0.72 (define @t91 () (=> @t67 @t90)) % 0.52/0.72 (define @t92 () (forall @t71 @t91)) % 0.52/0.72 (define @t93 () (= (|tptp.'@+'| (|tptp.'@+'| @t38 @t63) @t62) (|tptp.'@+'| @t38 @t86))) % 0.52/0.72 (define @t94 () (forall @t89 (=> @t88 @t93))) % 0.52/0.72 (define @t95 () (and (= @t64 @t57) @t56 @t94)) % 0.52/0.72 (define @t96 () (exists @t59 @t95)) % 0.52/0.72 (define @t97 () (or @t96 (= @t64 |tptp.'0'|))) % 0.52/0.72 (define @t98 () (=> @t97 @t90)) % 0.52/0.72 (define @t99 () (forall @t71 @t98)) % 0.52/0.72 (define @t100 () (=> @t99 @t92)) % 0.52/0.72 (define @t101 () (and @t67 @t69 @t74)) % 0.52/0.72 (define @t102 () (forall @t68 (=> @t101 @t87))) % 0.52/0.72 (define @t103 () (not @t102)) % 0.52/0.72 (define @t104 () (not @t74)) % 0.52/0.72 (define @t105 () (not @t69)) % 0.52/0.72 (define @t106 () (not @t67)) % 0.52/0.72 (define @t107 () (or @t106 @t105 @t104 @t87)) % 0.52/0.72 (define @t108 () (or @t106 @t105 @t104)) % 0.52/0.72 (define @t109 () (or @t106 @t104 @t105 @t87)) % 0.52/0.72 (define @t110 () (forall @t68 @t107)) % 0.52/0.72 (define @t111 () (forall @t68 @t109)) % 0.52/0.72 (define @t112 () (@var "BOUND_VARIABLE_8655" $$unsorted)) % 0.52/0.72 (define @t113 () (@var "BOUND_VARIABLE_8654" $$unsorted)) % 0.52/0.72 (define @t114 () (@var "BOUND_VARIABLE_8653" $$unsorted)) % 0.52/0.72 (define @t115 () (@list @t114 @t113 @t112)) % 0.52/0.72 (define @t116 () (@var "BOUND_VARIABLE_8149" $$unsorted)) % 0.52/0.72 (define @t117 () (@var "BOUND_VARIABLE_8147" $$unsorted)) % 0.52/0.72 (define @t118 () (= (|tptp.'@+'| (|tptp.'@+'| @t64 @t117) @t116) (|tptp.'@+'| @t64 (|tptp.'@+'| @t117 @t116)))) % 0.52/0.72 (define @t119 () (not (tptp.nat_succeeds @t117))) % 0.52/0.72 (define @t120 () (not (tptp.nat_succeeds @t116))) % 0.52/0.72 (define @t121 () (or @t106 @t120 @t119 @t118)) % 0.52/0.72 (define @t122 () (@list @t64 @t117 @t116)) % 0.52/0.72 (define @t123 () (forall @t122 @t121)) % 0.52/0.72 (define @t124 () (not @t123)) % 0.52/0.72 (define @t125 () (@list true)) % 0.52/0.72 (define @t126 () (or @t120 @t119 @t118)) % 0.52/0.72 (define @t127 () (or @t106 @t126)) % 0.52/0.72 (define @t128 () (forall @t122 @t127)) % 0.52/0.72 (define @t129 () (@list @t117 @t116)) % 0.52/0.72 (define @t130 () (forall @t129 @t127)) % 0.52/0.72 (define @t131 () (forall @t129 @t126)) % 0.52/0.72 (define @t132 () (@list @t63 @t62)) % 0.52/0.72 (define @t133 () (or @t106 @t131)) % 0.52/0.72 (define @t134 () (or @t104 @t105 @t87)) % 0.52/0.72 (define @t135 () (forall @t89 @t134)) % 0.52/0.72 (define @t136 () (or @t104 @t105)) % 0.52/0.72 (define @t137 () (not @t88)) % 0.52/0.72 (define @t138 () (@var "BOUND_VARIABLE_8121" $$unsorted)) % 0.52/0.72 (define @t139 () (@var "BOUND_VARIABLE_8119" $$unsorted)) % 0.52/0.72 (define @t140 () (= (|tptp.'@+'| (|tptp.'@+'| @t64 @t139) @t138) (|tptp.'@+'| @t64 (|tptp.'@+'| @t139 @t138)))) % 0.52/0.72 (define @t141 () (not (tptp.nat_succeeds @t139))) % 0.52/0.72 (define @t142 () (not (tptp.nat_succeeds @t138))) % 0.52/0.72 (define @t143 () (= |tptp.'0'| @t64)) % 0.52/0.72 (define @t144 () (not @t143)) % 0.52/0.72 (define @t145 () (@var "BOUND_VARIABLE_8103" $$unsorted)) % 0.52/0.72 (define @t146 () (not (forall @t89 (or @t104 @t105 (= (|tptp.'@+'| (|tptp.'@+'| @t145 @t63) @t62) (|tptp.'@+'| @t145 @t86)))))) % 0.52/0.72 (define @t147 () (not (tptp.nat_succeeds @t145))) % 0.52/0.72 (define @t148 () (tptp.s @t145)) % 0.52/0.72 (define @t149 () (not (= @t148 @t64))) % 0.52/0.72 (define @t150 () (or @t149 @t147 @t146)) % 0.52/0.72 (define @t151 () (and @t150 @t144)) % 0.52/0.72 (define @t152 () (or @t151 @t142 @t141 @t140)) % 0.52/0.72 (define @t153 () (or @t142 @t141 @t140)) % 0.52/0.72 (define @t154 () (or @t151 @t153)) % 0.52/0.72 (define @t155 () (@list @t64 @t145 @t139 @t138)) % 0.52/0.72 (define @t156 () (forall @t155 @t154)) % 0.52/0.72 (define @t157 () (forall (@list @t145 @t139 @t138) @t154)) % 0.52/0.72 (define @t158 () (forall (@list @t139 @t138) @t153)) % 0.52/0.72 (define @t159 () (@list @t145)) % 0.52/0.72 (define @t160 () (forall @t159 @t144)) % 0.52/0.72 (define @t161 () (forall @t159 @t150)) % 0.52/0.72 (define @t162 () (and @t161 @t160)) % 0.52/0.72 (define @t163 () (forall @t159 @t151)) % 0.52/0.72 (define @t164 () (or @t163 @t158)) % 0.52/0.72 (define @t165 () (or @t104 @t105 @t93)) % 0.52/0.72 (define @t166 () (forall @t89 @t165)) % 0.52/0.72 (define @t167 () (not @t166)) % 0.52/0.72 (define @t168 () (not @t56)) % 0.52/0.72 (define @t169 () (= @t57 @t64)) % 0.52/0.72 (define @t170 () (not @t169)) % 0.52/0.72 (define @t171 () (or @t170 @t168 @t167)) % 0.52/0.72 (define @t172 () (forall @t59 @t171)) % 0.52/0.72 (define @t173 () (not @t172)) % 0.52/0.72 (define @t174 () (or @t173 @t143)) % 0.52/0.72 (define @t175 () (and @t169 @t56 @t166)) % 0.52/0.72 (define @t176 () (forall @t59 (not @t175))) % 0.52/0.72 (define @t177 () (not @t176)) % 0.52/0.72 (define @t178 () (forall @t155 (or (and (or (not (= @t64 @t148)) @t147 @t146) @t144) @t142 @t141 @t140))) % 0.52/0.72 (define @t179 () (not @t178)) % 0.52/0.72 (define @t180 () (@quantifiers_skolemize @t178 3)) % 0.52/0.72 (define @t181 () (@quantifiers_skolemize @t178 2)) % 0.52/0.72 (define @t182 () (|tptp.'@+'| @t181 @t180)) % 0.52/0.72 (define @t183 () (@quantifiers_skolemize @t178 0)) % 0.52/0.72 (define @t184 () (|tptp.'@+'| @t183 @t181)) % 0.52/0.72 (define @t185 () (|tptp.'@+'| @t184 @t180)) % 0.52/0.72 (define @t186 () (= @t185 (|tptp.'@+'| @t183 @t182))) % 0.52/0.72 (define @t187 () (tptp.nat_succeeds @t181)) % 0.52/0.72 (define @t188 () (not @t187)) % 0.52/0.72 (define @t189 () (tptp.nat_succeeds @t180)) % 0.52/0.72 (define @t190 () (not @t189)) % 0.52/0.72 (define @t191 () (= |tptp.'0'| @t183)) % 0.52/0.72 (define @t192 () (not @t191)) % 0.52/0.72 (define @t193 () (@quantifiers_skolemize @t178 1)) % 0.52/0.72 (define @t194 () (forall @t89 (or @t104 @t105 (= (|tptp.'@+'| (|tptp.'@+'| @t193 @t63) @t62) (|tptp.'@+'| @t193 @t86))))) % 0.52/0.72 (define @t195 () (not @t194)) % 0.52/0.72 (define @t196 () (tptp.nat_succeeds @t193)) % 0.52/0.72 (define @t197 () (not @t196)) % 0.52/0.72 (define @t198 () (tptp.s @t193)) % 0.52/0.72 (define @t199 () (= @t183 @t198)) % 0.52/0.72 (define @t200 () (not @t199)) % 0.52/0.72 (define @t201 () (or @t200 @t197 @t195)) % 0.52/0.72 (define @t202 () (and @t201 @t192)) % 0.52/0.72 (define @t203 () (or @t202 @t190 @t188 @t186)) % 0.52/0.72 (define @t204 () (not @t186)) % 0.52/0.72 (define @t205 () (@list @t203)) % 0.52/0.72 (define @t206 () (= @t181 (|tptp.'@+'| |tptp.'0'| @t181))) % 0.52/0.72 (define @t207 () (|tptp.'@+'| |tptp.'0'| @t182)) % 0.52/0.72 (define @t208 () (= @t182 @t207)) % 0.52/0.72 (define @t209 () (and @t191 @t206 @t208)) % 0.52/0.72 (define @t210 () (not @t201)) % 0.52/0.72 (define @t211 () (@list @t201)) % 0.52/0.72 (define @t212 () (|tptp.'@+'| @t193 @t182)) % 0.52/0.72 (define @t213 () (|tptp.'@+'| @t198 @t182)) % 0.52/0.72 (define @t214 () (= @t213 (tptp.s @t212))) % 0.52/0.72 (define @t215 () (or @t197 @t214)) % 0.52/0.72 (define @t216 () (@list false false)) % 0.52/0.72 (define @t217 () (@list @t193 @t181)) % 0.52/0.72 (define @t218 () (|tptp.'@+'| @t193 @t181)) % 0.52/0.72 (define @t219 () (tptp.s @t218)) % 0.52/0.72 (define @t220 () (|tptp.'@+'| @t198 @t181)) % 0.52/0.72 (define @t221 () (= @t220 @t219)) % 0.52/0.72 (define @t222 () (or @t197 @t221)) % 0.52/0.72 (define @t223 () (|tptp.'@+'| @t218 @t180)) % 0.52/0.72 (define @t224 () (or @t190 @t188 (= @t223 @t212))) % 0.52/0.72 (define @t225 () (= @t212 @t223)) % 0.52/0.72 (define @t226 () (or @t190 @t188 @t225)) % 0.52/0.72 (define @t227 () (@list false false false)) % 0.52/0.72 (define @t228 () (tptp.nat_succeeds @t218)) % 0.52/0.72 (define @t229 () (or @t197 @t188 @t228)) % 0.52/0.72 (define @t230 () (tptp.s @t223)) % 0.52/0.72 (define @t231 () (|tptp.'@+'| @t219 @t180)) % 0.52/0.72 (define @t232 () (= @t231 @t230)) % 0.52/0.72 (define @t233 () (not @t228)) % 0.52/0.72 (define @t234 () (or @t233 @t232)) % 0.52/0.72 (define @t235 () (not @t232)) % 0.52/0.72 (define @t236 () (not @t225)) % 0.52/0.72 (define @t237 () (not @t221)) % 0.52/0.72 (define @t238 () (not @t214)) % 0.52/0.72 (define @t239 () (and @t199 @t204 @t214 @t221 @t225)) % 0.52/0.72 (assume @p1 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 0.52/0.72 (assume @p2 (forall @t7 (=> (= @t6 @t5) (= @t4 @t3)))) % 0.52/0.72 (assume @p3 (tptp.gr |tptp.'0'|)) % 0.52/0.72 (assume @p4 (forall (@list @t8) (= (tptp.gr @t8) (tptp.gr (tptp.s @t8))))) % 0.52/0.72 (assume @p5 (forall @t14 (not (and @t13 @t12)))) % 0.52/0.72 (assume @p6 (forall @t14 (=> (tptp.times_terminates @t11 @t10 @t9) (or @t13 @t12)))) % 0.52/0.72 (assume @p7 (forall @t20 (not (and @t19 @t18)))) % 0.52/0.72 (assume @p8 (forall @t20 (=> (tptp.plus_terminates @t17 @t16 @t15) (or @t19 @t18)))) % 0.52/0.72 (assume @p9 (forall @t25 (not (and @t24 @t23)))) % 0.52/0.72 (assume @p10 (forall @t25 (=> (|tptp.'@=<_terminates'| @t22 @t21) (or @t24 @t23)))) % 0.52/0.72 (assume @p11 (forall @t30 (not (and @t29 @t28)))) % 0.52/0.72 (assume @p12 (forall @t30 (=> (|tptp.'@<_terminates'| @t27 @t26) (or @t29 @t28)))) % 0.52/0.72 (assume @p13 (forall @t34 (not (and @t33 @t32)))) % 0.52/0.72 (assume @p14 (forall @t34 (=> (tptp.nat_terminates @t31) (or @t33 @t32)))) % 0.52/0.72 (assume @p15 (forall @t40 (= (tptp.times_succeeds @t36 @t38 @t1) (or (exists @t7 (and @t39 (tptp.times_succeeds @t4 @t38 @t3) (tptp.plus_succeeds @t38 @t3 @t1))) (and @t37 @t35))))) % 0.52/0.72 (assume @p16 (forall @t40 (= (tptp.times_fails @t36 @t38 @t1) (and (forall @t7 (or @t43 @t42 (tptp.plus_fails @t38 @t3 @t1))) (or @t41 (not @t35)))))) % 0.52/0.72 (assume @p17 (forall @t40 (= (tptp.times_terminates @t36 @t38 @t1) (and (forall @t7 (and true (or @t43 (and (tptp.times_terminates @t4 @t38 @t3) (or @t42 (tptp.plus_terminates @t38 @t3 @t1)))))) true @t44)))) % 0.52/0.72 (assume @p18 (forall @t40 (= (tptp.plus_succeeds @t36 @t38 @t1) (or (exists @t7 (and @t39 @t46 (tptp.plus_succeeds @t4 @t38 @t3))) (and @t37 @t45))))) % 0.52/0.72 (assume @p19 (forall @t40 (= (tptp.plus_fails @t36 @t38 @t1) (and (forall @t7 (or @t43 @t47 (tptp.plus_fails @t4 @t38 @t3))) (or @t41 (not @t45)))))) % 0.52/0.72 (assume @p20 (forall @t40 (= (tptp.plus_terminates @t36 @t38 @t1) (and (forall @t7 (and true (or @t43 (and true (or @t47 (tptp.plus_terminates @t4 @t38 @t3)))))) true @t44)))) % 0.52/0.72 (assume @p21 (forall @t51 (= (|tptp.'@=<_succeeds'| @t36 @t38) (or (exists @t50 (and @t49 @t48 (|tptp.'@=<_succeeds'| @t1 @t4))) @t37)))) % 0.52/0.72 (assume @p22 (forall @t51 (= (|tptp.'@=<_fails'| @t36 @t38) (and (forall @t50 (or @t53 @t52 (|tptp.'@=<_fails'| @t1 @t4))) @t41)))) % 0.52/0.72 (assume @p23 (forall @t51 (= (|tptp.'@=<_terminates'| @t36 @t38) (and (forall @t50 (and true (or @t53 (and true (or @t52 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 0.52/0.72 (assume @p24 (forall @t51 (= (|tptp.'@<_succeeds'| @t36 @t38) (or (exists @t50 (and @t49 @t48 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t55 (and @t37 @t54)))))) % 0.52/0.72 (assume @p25 (forall @t51 (= (|tptp.'@<_fails'| @t36 @t38) (and (forall @t50 (or @t53 @t52 (|tptp.'@<_fails'| @t1 @t4))) (forall @t55 (or @t41 (not @t54))))))) % 0.52/0.72 (assume @p26 (forall @t51 (= (|tptp.'@<_terminates'| @t36 @t38) (and (forall @t50 (and true (or @t53 (and true (or @t52 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t55 (and true @t44)))))) % 0.52/0.72 (assume @p27 (forall @t60 (= (tptp.nat_succeeds @t36) (or (exists @t59 (and @t58 @t56)) @t37)))) % 0.52/0.72 (assume @p28 (forall @t60 (= (tptp.nat_fails @t36) (and (forall @t59 (or @t61 (tptp.nat_fails @t38))) @t41)))) % 0.52/0.72 (assume @p29 (forall @t60 (= (tptp.nat_terminates @t36) (and (forall @t59 (and true (or @t61 (tptp.nat_terminates @t38)))) true)))) % 0.52/0.72 (assume @p30 (forall @t68 (=> @t67 (= (= @t66 @t62) @t65)))) % 0.52/0.72 (assume @p31 (forall @t68 (=> @t70 (= (= (|tptp.'@*'| @t64 @t63) @t62) (tptp.times_succeeds @t64 @t63 @t62))))) % 0.52/0.72 (assume @p32 (forall @t71 (=> @t67 (tptp.nat_terminates @t64)))) % 0.52/0.72 (assume @p33 (forall @t71 (=> @t67 @t72))) % 0.52/0.72 (assume @p34 (forall @t68 (=> @t67 @t73))) % 0.52/0.72 (assume @p35 (forall @t68 (=> @t74 @t73))) % 0.52/0.72 (assume @p36 (forall @t68 (=> @t65 @t67))) % 0.52/0.72 (assume @p37 (forall @t68 (=> (and @t65 @t69) @t74))) % 0.52/0.72 (assume @p38 (forall @t68 (=> (and @t65 @t74) @t69))) % 0.52/0.72 (assume @p39 (forall @t68 (=> @t65 @t73))) % 0.52/0.72 (assume @p40 (forall @t68 (=> @t65 @t72))) % 0.52/0.72 (assume @p41 (forall @t68 (=> (and @t65 @t76) @t75))) % 0.52/0.72 (assume @p42 (forall @t68 (=> (and @t65 @t75) @t76))) % 0.52/0.72 (assume @p43 (forall @t77 (=> @t67 (exists (@list @t62) @t65)))) % 0.52/0.72 (assume @p44 (forall (@list @t64 @t63 @t79 @t78) (=> (and (tptp.plus_succeeds @t64 @t63 @t79) (tptp.plus_succeeds @t64 @t63 @t78)) (= @t79 @t78)))) % 0.52/0.72 (assume @p45 @t81) % 0.52/0.72 (assume @p46 @t83) % 0.52/0.72 (assume @p47 @t85) % 0.52/0.72 (assume @p48 @t100) % 0.52/0.72 (assume @p49 @t103) % 0.52/0.72 (assume @p50 true) % 0.52/0.72 (step @p51 :rule aci_norm :args ((= (or @t108 @t87) @t107))) % 0.52/0.72 (step @p52 :rule refl :args (@t87)) % 0.52/0.72 (step @p53 :rule aci_norm :args ((= (or @t106 (or @t105 @t104)) @t108))) % 0.52/0.72 (step @p54 :rule bool-and-de-morgan :args (@t69 @t74 true)) % 0.52/0.72 (step @p55 :rule refl :args (@t106)) % 0.52/0.72 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t106 (not (and @t69 @t74))))) % 0.52/0.72 (step @p57 :rule bool-and-de-morgan :args (@t67 @t69 (and @t74))) % 0.52/0.72 (step @p58 :rule trans :premises (@p57 @p56)) % 0.52/0.72 (step @p59 :rule trans :premises (@p58 @p53)) % 0.52/0.72 (step @p60 :rule nary_cong :premises (@p59 @p52) :args ((or (not @t101) @t87))) % 0.52/0.72 (step @p61 :rule trans :premises (@p60 @p51)) % 0.52/0.72 (step @p62 :rule bool-impl-elim :args (@t101 @t87)) % 0.52/0.72 (step @p63 :rule trans :premises (@p62 @p61)) % 0.52/0.72 (step @p64 :rule cong :premises (@p63) :args (@t102)) % 0.52/0.72 (step @p65 :rule cong :premises (@p64) :args (@t103)) % 0.52/0.72 (step @p66 :rule eq_resolve :premises (@p49 @p65)) % 0.52/0.72 (step @p67 :rule aci_norm :args ((= @t107 @t109))) % 0.52/0.72 (step @p68 :rule cong :premises (@p67) :args (@t110)) % 0.52/0.72 (step @p69 :rule symm :premises (@p68)) % 0.52/0.72 (step @p70 :rule true_intro :premises (@p69)) % 0.52/0.72 (step @p71 :rule eq-symm :args (@t110 @t111)) % 0.52/0.72 (step @p72 :rule trans :premises (@p71 @p70)) % 0.52/0.72 (step @p73 :rule cong :premises (@p69 @p68) :args ((= @t111 @t110))) % 0.52/0.72 (step @p74 :rule trans :premises (@p73 @p72)) % 0.52/0.72 (step @p75 :rule true_elim :premises (@p74)) % 0.52/0.72 (step @p76 :rule alpha_equiv :args ((forall (@list @t114 @t113 @t112) (or (not (tptp.nat_succeeds @t114)) (not (tptp.nat_succeeds @t112)) (not (tptp.nat_succeeds @t113)) (= (|tptp.'@+'| (|tptp.'@+'| @t114 @t113) @t112) (|tptp.'@+'| @t114 (|tptp.'@+'| @t113 @t112))))) @t115 (@list @t64 @t63 @t62))) % 0.52/0.72 (step @p77 :rule alpha_equiv :args (@t123 (@list @t64 @t117 @t116) @t115)) % 0.52/0.72 (step @p78 :rule trans :premises (@p77 @p76 @p75)) % 0.52/0.72 (step @p79 :rule equiv_elim1 :premises (@p78)) % 0.52/0.72 (step @p80 :rule reordering :premises (@p79) :args ((or @t110 @t124))) % 0.52/0.72 (step @p81 :rule chain_m_resolution :premises (@p80 @p66) :args (@t124 @t125 (@list @t110))) % 0.52/0.72 (step @p82 :rule aci_norm :args ((= @t127 @t121))) % 0.52/0.72 (step @p83 :rule cong :premises (@p82) :args (@t128)) % 0.52/0.72 (step @p84 :rule quant-merge-prenex :args ((= (forall @t71 @t130) @t128))) % 0.52/0.72 (step @p85 :rule alpha_equiv :args (@t131 (@list @t117 @t116) @t132)) % 0.52/0.72 (step @p86 :rule nary_cong :premises (@p55 @p85) :args (@t133)) % 0.52/0.72 (step @p87 :rule quant-miniscope-or :args ((= @t130 @t133))) % 0.52/0.72 (step @p88 :rule trans :premises (@p87 @p86)) % 0.52/0.72 (step @p89 :rule symm :premises (@p88)) % 0.52/0.72 (step @p90 :rule cong :premises (@p89) :args ((forall @t71 (or @t106 @t135)))) % 0.52/0.72 (step @p91 :rule trans :premises (@p90 @p84)) % 0.52/0.72 (step @p92 :rule trans :premises (@p91 @p83)) % 0.52/0.72 (step @p93 :rule bool-impl-elim :args (@t67 @t135)) % 0.52/0.72 (step @p94 :rule cong :premises (@p93) :args ((forall @t71 (=> @t67 @t135)))) % 0.52/0.72 (step @p95 :rule trans :premises (@p94 @p92)) % 0.52/0.72 (step @p96 :rule aci_norm :args ((= (or @t136 @t87) @t134))) % 0.52/0.72 (step @p97 :rule bool-and-de-morgan :args (@t74 @t69 true)) % 0.52/0.72 (step @p98 :rule nary_cong :premises (@p97 @p52) :args ((or @t137 @t87))) % 0.52/0.72 (step @p99 :rule trans :premises (@p98 @p96)) % 0.52/0.72 (step @p100 :rule bool-impl-elim :args (@t88 @t87)) % 0.52/0.72 (step @p101 :rule trans :premises (@p100 @p99)) % 0.52/0.72 (step @p102 :rule cong :premises (@p101) :args (@t90)) % 0.52/0.72 (step @p103 :rule refl :args (@t67)) % 0.52/0.72 (step @p104 :rule cong :premises (@p103 @p102) :args (@t91)) % 0.52/0.72 (step @p105 :rule cong :premises (@p104) :args (@t92)) % 0.52/0.72 (step @p106 :rule trans :premises (@p105 @p95)) % 0.52/0.72 (step @p107 :rule refl :args (@t140)) % 0.52/0.72 (step @p108 :rule refl :args (@t141)) % 0.52/0.72 (step @p109 :rule refl :args (@t142)) % 0.52/0.72 (step @p110 :rule refl :args (@t144)) % 0.52/0.72 (step @p111 :rule refl :args (@t146)) % 0.52/0.72 (step @p112 :rule refl :args (@t147)) % 0.52/0.72 (step @p113 :rule eq-symm :args (@t148 @t64)) % 0.52/0.72 (step @p114 :rule cong :premises (@p113) :args (@t149)) % 0.52/0.72 (step @p115 :rule nary_cong :premises (@p114 @p112 @p111) :args (@t150)) % 0.52/0.72 (step @p116 :rule nary_cong :premises (@p115 @p110) :args (@t151)) % 0.52/0.72 (step @p117 :rule nary_cong :premises (@p116 @p109 @p108 @p107) :args (@t152)) % 0.52/0.72 (step @p118 :rule aci_norm :args ((= @t154 @t152))) % 0.52/0.72 (step @p119 :rule trans :premises (@p118 @p117)) % 0.52/0.72 (step @p120 :rule cong :premises (@p119) :args (@t156)) % 0.52/0.72 (step @p121 :rule quant-merge-prenex :args ((= (forall @t71 @t157) @t156))) % 0.52/0.72 (step @p122 :rule alpha_equiv :args (@t158 (@list @t139 @t138) @t132)) % 0.52/0.72 (step @p123 :rule quant-unused-vars :args ((= @t160 @t144))) % 0.52/0.72 (step @p124 :rule alpha_equiv :args (@t161 (@list @t145) (@list @t38))) % 0.52/0.72 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t162)) % 0.52/0.72 (step @p126 :rule quant-miniscope-and :args ((= @t163 @t162))) % 0.52/0.72 (step @p127 :rule trans :premises (@p126 @p125)) % 0.52/0.72 (step @p128 :rule nary_cong :premises (@p127 @p122) :args (@t164)) % 0.52/0.72 (step @p129 :rule quant-miniscope-or :args ((= @t157 @t164))) % 0.52/0.72 (step @p130 :rule trans :premises (@p129 @p128)) % 0.52/0.72 (step @p131 :rule symm :premises (@p130)) % 0.52/0.72 (step @p132 :rule cong :premises (@p131) :args ((forall @t71 (or (and @t172 @t144) @t135)))) % 0.52/0.72 (step @p133 :rule trans :premises (@p132 @p121)) % 0.52/0.72 (step @p134 :rule trans :premises (@p133 @p120)) % 0.52/0.72 (step @p135 :rule refl :args (@t135)) % 0.52/0.72 (step @p136 :rule refl :args (@t144)) % 0.52/0.72 (step @p137 :rule bool-double-not-elim :args (@t172)) % 0.52/0.72 (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((and (not @t173) @t144))) % 0.52/0.72 (step @p139 :rule bool-or-de-morgan :args (@t173 @t143 false)) % 0.52/0.72 (step @p140 :rule trans :premises (@p139 @p138)) % 0.52/0.72 (step @p141 :rule nary_cong :premises (@p140 @p135) :args ((or (not @t174) @t135))) % 0.52/0.72 (step @p142 :rule bool-impl-elim :args (@t174 @t135)) % 0.52/0.72 (step @p143 :rule trans :premises (@p142 @p141)) % 0.52/0.72 (step @p144 :rule cong :premises (@p143) :args ((forall @t71 (=> @t174 @t135)))) % 0.52/0.72 (step @p145 :rule trans :premises (@p144 @p134)) % 0.52/0.72 (step @p146 :rule eq-symm :args (@t64 |tptp.'0'|)) % 0.52/0.72 (step @p147 :rule aci_norm :args ((= (or @t170 (or @t168 @t167)) @t171))) % 0.52/0.72 (step @p148 :rule bool-and-de-morgan :args (@t56 @t166 true)) % 0.52/0.72 (step @p149 :rule refl :args (@t170)) % 0.52/0.72 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t170 (not (and @t56 @t166))))) % 0.52/0.72 (step @p151 :rule bool-and-de-morgan :args (@t169 @t56 (and @t166))) % 0.52/0.72 (step @p152 :rule trans :premises (@p151 @p150)) % 0.52/0.72 (step @p153 :rule trans :premises (@p152 @p147)) % 0.52/0.72 (step @p154 :rule cong :premises (@p153) :args (@t176)) % 0.52/0.72 (step @p155 :rule cong :premises (@p154) :args (@t177)) % 0.52/0.72 (step @p156 :rule exists-elim :args ((= (exists @t59 @t175) @t177))) % 0.52/0.72 (step @p157 :rule trans :premises (@p156 @p155)) % 0.52/0.72 (step @p158 :rule aci_norm :args ((= (or @t136 @t93) @t165))) % 0.52/0.72 (step @p159 :rule refl :args (@t93)) % 0.52/0.72 (step @p160 :rule nary_cong :premises (@p97 @p159) :args ((or @t137 @t93))) % 0.52/0.72 (step @p161 :rule trans :premises (@p160 @p158)) % 0.52/0.72 (step @p162 :rule bool-impl-elim :args (@t88 @t93)) % 0.52/0.72 (step @p163 :rule trans :premises (@p162 @p161)) % 0.52/0.72 (step @p164 :rule cong :premises (@p163) :args (@t94)) % 0.52/0.72 (step @p165 :rule refl :args (@t56)) % 0.52/0.72 (step @p166 :rule eq-symm :args (@t64 @t57)) % 0.52/0.72 (step @p167 :rule nary_cong :premises (@p166 @p165 @p164) :args (@t95)) % 0.52/0.72 (step @p168 :rule cong :premises (@p167) :args (@t96)) % 0.52/0.72 (step @p169 :rule trans :premises (@p168 @p157)) % 0.52/0.72 (step @p170 :rule nary_cong :premises (@p169 @p146) :args (@t97)) % 0.52/0.72 (step @p171 :rule cong :premises (@p170 @p102) :args (@t98)) % 0.52/0.72 (step @p172 :rule cong :premises (@p171) :args (@t99)) % 0.52/0.72 (step @p173 :rule trans :premises (@p172 @p145)) % 0.52/0.72 (step @p174 :rule cong :premises (@p173 @p106) :args (@t100)) % 0.52/0.72 (step @p175 :rule eq_resolve :premises (@p48 @p174)) % 0.52/0.72 (step @p176 :rule implies_elim :premises (@p175)) % 0.52/0.72 (step @p177 :rule reordering :premises (@p176) :args ((or @t123 @t179))) % 0.52/0.72 (step @p178 :rule chain_m_resolution :premises (@p177 @p81) :args (@t179 @t125 (@list @t123))) % 0.52/0.72 (step @p179 :rule skolemize :premises (@p178)) % 0.52/0.72 (step @p180 :rule cnf_or_neg :args (@t203 3)) % 0.52/0.72 (step @p181 :rule chain_m_resolution :premises (@p180 @p179) :args (@t204 @t125 @t205)) % 0.52/0.72 (step @p182 :rule cnf_or_neg :args (@t203 0)) % 0.52/0.72 (step @p183 :rule chain_m_resolution :premises (@p182 @p179) :args ((not @t202) @t125 @t205)) % 0.52/0.72 (step @p184 :rule eq-symm :args (@t80 @t63)) % 0.52/0.72 (step @p185 :rule cong :premises (@p184) :args (@t81)) % 0.52/0.72 (step @p186 :rule eq_resolve :premises (@p45 @p185)) % 0.52/0.72 (step @p187 :rule instantiate :premises (@p186) :args ((@list @t182))) % 0.52/0.72 (step @p188 :rule instantiate :premises (@p186) :args ((@list @t181))) % 0.52/0.72 (assume-push @p355 @t191) % 0.52/0.72 (assume-push @p356 @t206) % 0.52/0.72 (assume-push @p357 @t208) % 0.52/0.72 (assume-push @p358 @t191) % 0.52/0.72 (assume-push @p359 @t208) % 0.52/0.72 (assume-push @p360 @t206) % 0.52/0.72 (step @p195 :rule refl :args (@t182)) % 0.52/0.72 (step @p196 :rule cong :premises (@p355 @p195) :args (@t207)) % 0.52/0.72 (step @p197 :rule refl :args (@t180)) % 0.52/0.72 (step @p198 :rule symm :premises (@p188)) % 0.52/0.72 (step @p199 :rule refl :args (@t181)) % 0.52/0.72 (step @p200 :rule symm :premises (@p355)) % 0.52/0.72 (step @p201 :rule cong :premises (@p200 @p199) :args (@t184)) % 0.52/0.72 (step @p202 :rule trans :premises (@p201 @p198)) % 0.52/0.72 (step @p203 :rule cong :premises (@p202 @p197) :args (@t185)) % 0.52/0.72 (step @p204 :rule trans :premises (@p203 @p187 @p196)) % 0.52/0.72 (step-pop @p361 :rule scope :premises (@p204)) % 0.52/0.72 (step-pop @p362 :rule scope :premises (@p361)) % 0.52/0.72 (step-pop @p363 :rule scope :premises (@p362)) % 0.52/0.72 (step @p205 :rule process_scope :premises (@p363) :args (@t186)) % 0.52/0.72 (step @p209 :rule and_intro :premises (@p355 @p187 @p188)) % 0.52/0.72 (step @p210 :rule modus_ponens :premises (@p209 @p205)) % 0.52/0.72 (step-pop @p364 :rule scope :premises (@p210)) % 0.52/0.72 (step-pop @p365 :rule scope :premises (@p364)) % 0.52/0.72 (step-pop @p366 :rule scope :premises (@p365)) % 0.52/0.72 (step @p211 :rule process_scope :premises (@p366) :args (@t186)) % 0.52/0.72 (step @p215 :rule implies_elim :premises (@p211)) % 0.52/0.72 (step @p216 :rule cnf_and_neg :args (@t209)) % 0.52/0.72 (step @p217 :rule resolution :premises (@p216 @p215) :args (true @t209)) % 0.52/0.72 (step @p218 :rule reordering :premises (@p217) :args ((or @t192 @t186 (not @t206) (not @t208)))) % 0.52/0.72 (step @p219 :rule chain_m_resolution :premises (@p218 @p181 @p188 @p187) :args (@t192 (@list true false false) (@list @t186 @t206 @t208))) % 0.52/0.72 (step @p220 :rule bool-double-not-elim :args (@t191)) % 0.52/0.72 (step @p221 :rule refl :args (@t210)) % 0.52/0.72 (step @p222 :rule refl :args (@t202)) % 0.52/0.72 (step @p223 :rule nary_cong :premises (@p222 @p221 @p220) :args ((or @t202 @t210 (not @t192)))) % 0.52/0.72 (step @p224 :rule cnf_and_neg :args (@t202)) % 0.52/0.72 (step @p225 :rule eq_resolve :premises (@p224 @p223)) % 0.52/0.72 (step @p226 :rule reordering :premises (@p225) :args ((or @t191 @t202 @t210))) % 0.52/0.72 (step @p227 :rule chain_m_resolution :premises (@p226 @p219 @p183) :args (@t210 (@list true true) (@list @t191 @t202))) % 0.52/0.72 (step @p228 :rule bool-double-not-elim :args (@t199)) % 0.52/0.72 (step @p229 :rule refl :args (@t201)) % 0.52/0.72 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or @t201 (not @t200)))) % 0.52/0.72 (step @p231 :rule cnf_or_neg :args (@t201 0)) % 0.52/0.72 (step @p232 :rule eq_resolve :premises (@p231 @p230)) % 0.52/0.72 (step @p233 :rule reordering :premises (@p232) :args ((or @t199 @t201))) % 0.52/0.72 (step @p234 :rule chain_m_resolution :premises (@p233 @p227) :args (@t199 @t125 @t211)) % 0.52/0.72 (step @p235 :rule bool-impl-elim :args (@t67 @t82)) % 0.52/0.72 (step @p236 :rule cong :premises (@p235) :args (@t83)) % 0.52/0.72 (step @p237 :rule eq_resolve :premises (@p46 @p236)) % 0.52/0.72 (step @p238 :rule instantiate :premises (@p237) :args ((@list @t193 @t182))) % 0.52/0.72 (step @p239 :rule bool-double-not-elim :args (@t196)) % 0.52/0.72 (step @p240 :rule nary_cong :premises (@p229 @p239) :args ((or @t201 (not @t197)))) % 0.52/0.72 (step @p241 :rule cnf_or_neg :args (@t201 1)) % 0.52/0.72 (step @p242 :rule eq_resolve :premises (@p241 @p240)) % 0.52/0.72 (step @p243 :rule reordering :premises (@p242) :args ((or @t196 @t201))) % 0.52/0.72 (step @p244 :rule chain_m_resolution :premises (@p243 @p227) :args (@t196 @t125 @t211)) % 0.52/0.72 (step @p245 :rule cnf_or_pos :args (@t215)) % 0.52/0.72 (step @p246 :rule reordering :premises (@p245) :args ((or @t197 @t214 (not @t215)))) % 0.52/0.72 (step @p247 :rule chain_m_resolution :premises (@p246 @p244 @p238) :args (@t214 @t216 (@list @t196 @t215))) % 0.52/0.72 (step @p248 :rule instantiate :premises (@p237) :args (@t217)) % 0.52/0.72 (step @p249 :rule cnf_or_pos :args (@t222)) % 0.52/0.72 (step @p250 :rule reordering :premises (@p249) :args ((or @t197 @t221 (not @t222)))) % 0.52/0.72 (step @p251 :rule chain_m_resolution :premises (@p250 @p244 @p248) :args (@t221 @t216 (@list @t196 @t222))) % 0.52/0.72 (step @p252 :rule bool-double-not-elim :args (@t194)) % 0.52/0.72 (step @p253 :rule nary_cong :premises (@p229 @p252) :args ((or @t201 (not @t195)))) % 0.52/0.72 (step @p254 :rule cnf_or_neg :args (@t201 2)) % 0.52/0.72 (step @p255 :rule eq_resolve :premises (@p254 @p253)) % 0.52/0.72 (step @p256 :rule reordering :premises (@p255) :args ((or @t194 @t201))) % 0.52/0.72 (step @p257 :rule chain_m_resolution :premises (@p256 @p227) :args (@t194 @t125 @t211)) % 0.52/0.72 (step @p258 :rule eq-symm :args (@t223 @t212)) % 0.52/0.72 (step @p259 :rule refl :args (@t188)) % 0.52/0.72 (step @p260 :rule refl :args (@t190)) % 0.52/0.72 (step @p261 :rule nary_cong :premises (@p260 @p259 @p258) :args (@t224)) % 0.52/0.72 (step @p262 :rule refl :args (@t194)) % 0.52/0.72 (step @p263 :rule cong :premises (@p262 @p261) :args ((=> @t194 @t224))) % 0.52/0.72 (assume-push @p367 @t194) % 0.52/0.72 (step @p265 :rule instantiate :premises (@p367) :args ((@list @t181 @t180))) % 0.52/0.72 (step-pop @p368 :rule scope :premises (@p265)) % 0.52/0.72 (step @p266 :rule process_scope :premises (@p368) :args (@t224)) % 0.52/0.72 (step @p268 :rule eq_resolve :premises (@p266 @p263)) % 0.52/0.72 (step @p269 :rule implies_elim :premises (@p268)) % 0.52/0.72 (step @p270 :rule chain_m_resolution :premises (@p269 @p257) :args (@t226 (@list false) (@list @t194))) % 0.52/0.72 (step @p271 :rule bool-double-not-elim :args (@t187)) % 0.52/0.72 (step @p272 :rule refl :args (@t203)) % 0.52/0.72 (step @p273 :rule nary_cong :premises (@p272 @p271) :args ((or @t203 (not @t188)))) % 0.52/0.72 (step @p274 :rule cnf_or_neg :args (@t203 2)) % 0.52/0.72 (step @p275 :rule eq_resolve :premises (@p274 @p273)) % 0.52/0.72 (step @p276 :rule reordering :premises (@p275) :args ((or @t187 @t203))) % 0.52/0.72 (step @p277 :rule chain_m_resolution :premises (@p276 @p179) :args (@t187 @t125 @t205)) % 0.52/0.72 (step @p278 :rule bool-double-not-elim :args (@t189)) % 0.52/0.72 (step @p279 :rule nary_cong :premises (@p272 @p278) :args ((or @t203 (not @t190)))) % 0.52/0.72 (step @p280 :rule cnf_or_neg :args (@t203 1)) % 0.52/0.72 (step @p281 :rule eq_resolve :premises (@p280 @p279)) % 0.52/0.72 (step @p282 :rule reordering :premises (@p281) :args ((or @t189 @t203))) % 0.52/0.72 (step @p283 :rule chain_m_resolution :premises (@p282 @p179) :args (@t189 @t125 @t205)) % 0.52/0.72 (step @p284 :rule cnf_or_pos :args (@t226)) % 0.52/0.72 (step @p285 :rule reordering :premises (@p284) :args ((or @t190 @t188 @t225 (not @t226)))) % 0.52/0.72 (step @p286 :rule chain_m_resolution :premises (@p285 @p283 @p277 @p270) :args (@t225 @t227 (@list @t189 @t187 @t226))) % 0.52/0.72 (step @p287 :rule instantiate :premises (@p237) :args ((@list @t218 @t180))) % 0.52/0.72 (step @p288 :rule aci_norm :args ((= (or (or @t106 @t105) @t84) (or @t106 @t105 @t84)))) % 0.52/0.72 (step @p289 :rule refl :args (@t84)) % 0.52/0.72 (step @p290 :rule bool-and-de-morgan :args (@t67 @t69 true)) % 0.52/0.72 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or (not @t70) @t84))) % 0.52/0.72 (step @p292 :rule trans :premises (@p291 @p288)) % 0.52/0.72 (step @p293 :rule bool-impl-elim :args (@t70 @t84)) % 0.52/0.72 (step @p294 :rule trans :premises (@p293 @p292)) % 0.52/0.72 (step @p295 :rule cong :premises (@p294) :args (@t85)) % 0.52/0.72 (step @p296 :rule eq_resolve :premises (@p47 @p295)) % 0.52/0.72 (step @p297 :rule instantiate :premises (@p296) :args (@t217)) % 0.52/0.72 (step @p298 :rule cnf_or_pos :args (@t229)) % 0.52/0.72 (step @p299 :rule reordering :premises (@p298) :args ((or @t197 @t188 @t228 (not @t229)))) % 0.52/0.72 (step @p300 :rule chain_m_resolution :premises (@p299 @p244 @p277 @p297) :args (@t228 @t227 (@list @t196 @t187 @t229))) % 0.52/0.72 (step @p301 :rule cnf_or_pos :args (@t234)) % 0.52/0.72 (step @p302 :rule reordering :premises (@p301) :args ((or @t233 @t232 (not @t234)))) % 0.52/0.72 (step @p303 :rule chain_m_resolution :premises (@p302 @p300 @p287) :args (@t232 @t216 (@list @t228 @t234))) % 0.52/0.72 (step @p304 :rule refl :args (@t235)) % 0.52/0.72 (step @p305 :rule refl :args (@t236)) % 0.52/0.72 (step @p306 :rule refl :args (@t237)) % 0.52/0.72 (step @p307 :rule refl :args (@t238)) % 0.52/0.72 (step @p308 :rule bool-double-not-elim :args (@t186)) % 0.52/0.72 (step @p309 :rule refl :args (@t200)) % 0.52/0.72 (step @p310 :rule nary_cong :premises (@p309 @p308 @p307 @p306 @p305 @p304) :args ((or @t200 (not @t204) @t238 @t237 @t236 @t235))) % 0.52/0.72 (assume-push @p369 @t199) % 0.52/0.72 (assume-push @p370 @t204) % 0.52/0.72 (assume-push @p371 @t214) % 0.52/0.72 (assume-push @p372 @t221) % 0.52/0.72 (assume-push @p373 @t225) % 0.52/0.72 (assume-push @p374 @t204) % 0.52/0.72 (assume-push @p375 @t199) % 0.52/0.72 (assume-push @p376 @t221) % 0.52/0.72 (assume-push @p377 @t214) % 0.52/0.72 (assume-push @p378 @t225) % 0.52/0.72 (step @p321 :rule false_intro :premises (@p181)) % 0.52/0.72 (step @p195 :rule refl :args (@t182)) % 0.52/0.72 (step @p322 :rule symm :premises (@p369)) % 0.52/0.72 (step @p323 :rule cong :premises (@p322 @p195) :args (@t213)) % 0.52/0.72 (step @p324 :rule symm :premises (@p371)) % 0.52/0.72 (step @p325 :rule symm :premises (@p373)) % 0.52/0.72 (step @p326 :rule cong :premises (@p325) :args (@t230)) % 0.52/0.72 (step @p327 :rule trans :premises (@p326 @p324 @p323)) % 0.52/0.72 (step @p197 :rule refl :args (@t180)) % 0.52/0.72 (step @p199 :rule refl :args (@t181)) % 0.52/0.72 (step @p328 :rule cong :premises (@p322 @p199) :args (@t220)) % 0.52/0.72 (step @p329 :rule symm :premises (@p372)) % 0.52/0.72 (step @p330 :rule trans :premises (@p329 @p328)) % 0.52/0.72 (step @p331 :rule cong :premises (@p330 @p197) :args (@t231)) % 0.52/0.72 (step @p332 :rule cong :premises (@p331 @p327) :args (@t232)) % 0.52/0.72 (step @p333 :rule trans :premises (@p332 @p321)) % 0.52/0.72 (step @p334 :rule false_elim :premises (@p333)) % 0.52/0.72 (step-pop @p379 :rule scope :premises (@p334)) % 0.52/0.72 (step-pop @p380 :rule scope :premises (@p379)) % 0.52/0.72 (step-pop @p381 :rule scope :premises (@p380)) % 0.52/0.72 (step-pop @p382 :rule scope :premises (@p381)) % 0.52/0.72 (step-pop @p383 :rule scope :premises (@p382)) % 0.52/0.72 (step @p335 :rule process_scope :premises (@p383) :args (@t235)) % 0.52/0.72 (step @p341 :rule and_intro :premises (@p181 @p369 @p372 @p371 @p373)) % 0.52/0.72 (step @p342 :rule modus_ponens :premises (@p341 @p335)) % 0.52/0.72 (step-pop @p384 :rule scope :premises (@p342)) % 0.52/0.73 (step-pop @p385 :rule scope :premises (@p384)) % 0.52/0.73 (step-pop @p386 :rule scope :premises (@p385)) % 0.52/0.73 (step-pop @p387 :rule scope :premises (@p386)) % 0.52/0.73 (step-pop @p388 :rule scope :premises (@p387)) % 0.52/0.73 (step @p343 :rule process_scope :premises (@p388) :args (@t235)) % 0.52/0.73 (step @p349 :rule implies_elim :premises (@p343)) % 0.52/0.73 (step @p350 :rule cnf_and_neg :args (@t239)) % 0.52/0.73 (step @p351 :rule resolution :premises (@p350 @p349) :args (true @t239)) % 0.52/0.73 (step @p352 :rule eq_resolve :premises (@p351 @p310)) % 0.52/0.73 (step @p353 :rule reordering :premises (@p352) :args ((or @t200 @t186 @t238 @t237 @t235 @t236))) % 0.52/0.73 (step @p354 false :rule chain_m_resolution :premises (@p353 @p303 @p286 @p251 @p247 @p234 @p181) :args (false (@list false false false false false true) (@list @t232 @t225 @t221 @t214 @t199 @t186))) % 0.52/0.73 ) % 0.52/0.73 % SZS output end Proof % 0.52/0.73 % cvc5 exiting %------------------------------------------------------------------------------