%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX033+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 : n009.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 0.45s 0.67s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX033+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 : n009.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 22:53:44 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.67 % SZS status Theorem % 0.45/0.67 % SZS output start Proof % 0.45/0.67 ( % 0.45/0.67 (declare-sort $$unsorted 0) % 0.45/0.67 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.45/0.67 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.gr (-> $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const |tptp.'0'| $$unsorted) % 0.45/0.67 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 0.45/0.67 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 0.45/0.67 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (define @t1 () (@var "Xx3" $$unsorted)) % 0.45/0.67 (define @t2 () (tptp.s @t1)) % 0.45/0.67 (define @t3 () (@var "Xx5" $$unsorted)) % 0.45/0.67 (define @t4 () (@var "Xx4" $$unsorted)) % 0.45/0.67 (define @t5 () (= @t4 @t3)) % 0.45/0.67 (define @t6 () (tptp.s @t3)) % 0.45/0.67 (define @t7 () (tptp.s @t4)) % 0.45/0.67 (define @t8 () (= @t7 @t6)) % 0.45/0.67 (define @t9 () (@list @t4 @t3)) % 0.45/0.67 (define @t10 () (forall @t9 (=> @t8 @t5))) % 0.45/0.67 (define @t11 () (@var "Xx6" $$unsorted)) % 0.45/0.67 (define @t12 () (@var "Xx9" $$unsorted)) % 0.45/0.67 (define @t13 () (@var "Xx8" $$unsorted)) % 0.45/0.67 (define @t14 () (@var "Xx7" $$unsorted)) % 0.45/0.67 (define @t15 () (tptp.times_fails @t14 @t13 @t12)) % 0.45/0.67 (define @t16 () (tptp.times_succeeds @t14 @t13 @t12)) % 0.45/0.67 (define @t17 () (@list @t14 @t13 @t12)) % 0.45/0.67 (define @t18 () (@var "Xx12" $$unsorted)) % 0.45/0.67 (define @t19 () (@var "Xx11" $$unsorted)) % 0.45/0.67 (define @t20 () (@var "Xx10" $$unsorted)) % 0.45/0.67 (define @t21 () (tptp.plus_fails @t20 @t19 @t18)) % 0.45/0.67 (define @t22 () (tptp.plus_succeeds @t20 @t19 @t18)) % 0.45/0.67 (define @t23 () (@list @t20 @t19 @t18)) % 0.45/0.67 (define @t24 () (@var "Xx14" $$unsorted)) % 0.45/0.67 (define @t25 () (@var "Xx13" $$unsorted)) % 0.45/0.67 (define @t26 () (|tptp.'@=<_fails'| @t25 @t24)) % 0.45/0.67 (define @t27 () (|tptp.'@=<_succeeds'| @t25 @t24)) % 0.45/0.67 (define @t28 () (@list @t25 @t24)) % 0.45/0.67 (define @t29 () (@var "Xx16" $$unsorted)) % 0.45/0.67 (define @t30 () (@var "Xx15" $$unsorted)) % 0.45/0.67 (define @t31 () (|tptp.'@<_fails'| @t30 @t29)) % 0.45/0.67 (define @t32 () (|tptp.'@<_succeeds'| @t30 @t29)) % 0.45/0.67 (define @t33 () (@list @t30 @t29)) % 0.45/0.67 (define @t34 () (@var "Xx17" $$unsorted)) % 0.45/0.67 (define @t35 () (tptp.nat_fails @t34)) % 0.45/0.67 (define @t36 () (tptp.nat_succeeds @t34)) % 0.45/0.67 (define @t37 () (@list @t34)) % 0.45/0.67 (define @t38 () (= @t1 |tptp.'0'|)) % 0.45/0.67 (define @t39 () (@var "Xx1" $$unsorted)) % 0.45/0.67 (define @t40 () (= @t39 |tptp.'0'|)) % 0.45/0.67 (define @t41 () (@var "Xx2" $$unsorted)) % 0.45/0.67 (define @t42 () (= @t39 @t7)) % 0.45/0.67 (define @t43 () (@list @t39 @t41 @t1)) % 0.45/0.67 (define @t44 () (not @t40)) % 0.45/0.67 (define @t45 () (tptp.times_fails @t4 @t41 @t3)) % 0.45/0.67 (define @t46 () (not @t42)) % 0.45/0.67 (define @t47 () (or @t44 true)) % 0.45/0.67 (define @t48 () (= @t1 @t41)) % 0.45/0.67 (define @t49 () (= @t1 @t6)) % 0.45/0.67 (define @t50 () (not @t49)) % 0.45/0.67 (define @t51 () (= @t41 @t7)) % 0.45/0.67 (define @t52 () (= @t39 @t2)) % 0.45/0.67 (define @t53 () (@list @t1 @t4)) % 0.45/0.67 (define @t54 () (@list @t39 @t41)) % 0.45/0.67 (define @t55 () (not @t51)) % 0.45/0.67 (define @t56 () (not @t52)) % 0.45/0.67 (define @t57 () (= @t41 @t6)) % 0.45/0.67 (define @t58 () (@list @t3)) % 0.45/0.67 (define @t59 () (tptp.nat_succeeds @t41)) % 0.45/0.67 (define @t60 () (tptp.s @t41)) % 0.45/0.67 (define @t61 () (= @t39 @t60)) % 0.45/0.67 (define @t62 () (@list @t41)) % 0.45/0.67 (define @t63 () (@list @t39)) % 0.45/0.67 (define @t64 () (not @t61)) % 0.45/0.67 (define @t65 () (@var "Xz" $$unsorted)) % 0.45/0.67 (define @t66 () (@var "Xy" $$unsorted)) % 0.45/0.67 (define @t67 () (@var "Xx" $$unsorted)) % 0.45/0.67 (define @t68 () (tptp.plus_succeeds @t67 @t66 @t65)) % 0.45/0.67 (define @t69 () (|tptp.'@+'| @t67 @t66)) % 0.45/0.67 (define @t70 () (tptp.nat_succeeds @t67)) % 0.45/0.67 (define @t71 () (@list @t67 @t66 @t65)) % 0.45/0.67 (define @t72 () (tptp.nat_succeeds @t66)) % 0.45/0.67 (define @t73 () (and @t70 @t72)) % 0.45/0.67 (define @t74 () (@list @t67)) % 0.45/0.67 (define @t75 () (tptp.gr @t67)) % 0.45/0.67 (define @t76 () (tptp.plus_terminates @t67 @t66 @t65)) % 0.45/0.67 (define @t77 () (tptp.nat_succeeds @t65)) % 0.45/0.67 (define @t78 () (tptp.gr @t65)) % 0.45/0.67 (define @t79 () (tptp.gr @t66)) % 0.45/0.67 (define @t80 () (@list @t67 @t66)) % 0.45/0.67 (define @t81 () (@var "Xz2" $$unsorted)) % 0.45/0.67 (define @t82 () (@var "Xz1" $$unsorted)) % 0.45/0.67 (define @t83 () (|tptp.'@+'| |tptp.'0'| @t66)) % 0.45/0.67 (define @t84 () (forall (@list @t66) (= @t83 @t66))) % 0.45/0.67 (define @t85 () (|tptp.'@+'| (tptp.s @t67) @t66)) % 0.45/0.67 (define @t86 () (= @t85 (tptp.s @t69))) % 0.45/0.67 (define @t87 () (forall @t80 (=> @t70 @t86))) % 0.45/0.67 (define @t88 () (= @t66 @t65)) % 0.45/0.67 (define @t89 () (= @t69 (|tptp.'@+'| @t67 @t65))) % 0.45/0.67 (define @t90 () (@list @t66 @t65)) % 0.45/0.67 (define @t91 () (forall @t90 (=> @t89 @t88))) % 0.45/0.67 (define @t92 () (=> @t70 @t91)) % 0.45/0.67 (define @t93 () (forall @t74 @t92)) % 0.45/0.67 (define @t94 () (= (|tptp.'@+'| @t41 @t66) (|tptp.'@+'| @t41 @t65))) % 0.45/0.67 (define @t95 () (forall @t90 (=> @t94 @t88))) % 0.45/0.67 (define @t96 () (and (= @t67 @t60) @t59 @t95)) % 0.45/0.67 (define @t97 () (exists @t62 @t96)) % 0.45/0.67 (define @t98 () (or @t97 (= @t67 |tptp.'0'|))) % 0.45/0.67 (define @t99 () (=> @t98 @t91)) % 0.45/0.67 (define @t100 () (forall @t74 @t99)) % 0.45/0.67 (define @t101 () (=> @t100 @t93)) % 0.45/0.67 (define @t102 () (and @t70 @t89)) % 0.45/0.67 (define @t103 () (forall @t71 (=> @t102 @t88))) % 0.45/0.67 (define @t104 () (not @t103)) % 0.45/0.67 (define @t105 () (not @t89)) % 0.45/0.67 (define @t106 () (not @t70)) % 0.45/0.67 (define @t107 () (or @t106 @t105 @t88)) % 0.45/0.67 (define @t108 () (@var "BOUND_VARIABLE_8711" $$unsorted)) % 0.45/0.67 (define @t109 () (@var "BOUND_VARIABLE_8710" $$unsorted)) % 0.45/0.67 (define @t110 () (@var "BOUND_VARIABLE_8712" $$unsorted)) % 0.45/0.67 (define @t111 () (@list @t109 @t108 @t110)) % 0.45/0.67 (define @t112 () (@var "BOUND_VARIABLE_8182" $$unsorted)) % 0.45/0.67 (define @t113 () (@var "BOUND_VARIABLE_8180" $$unsorted)) % 0.45/0.67 (define @t114 () (= @t113 @t112)) % 0.45/0.67 (define @t115 () (not (= (|tptp.'@+'| @t67 @t113) (|tptp.'@+'| @t67 @t112)))) % 0.45/0.67 (define @t116 () (or @t106 @t115 @t114)) % 0.45/0.67 (define @t117 () (@list @t67 @t113 @t112)) % 0.45/0.67 (define @t118 () (forall @t117 @t116)) % 0.45/0.67 (define @t119 () (not @t118)) % 0.45/0.67 (define @t120 () (forall @t71 @t107)) % 0.45/0.67 (define @t121 () (@list true)) % 0.45/0.67 (define @t122 () (or @t115 @t114)) % 0.45/0.67 (define @t123 () (or @t106 @t122)) % 0.45/0.67 (define @t124 () (forall @t117 @t123)) % 0.45/0.67 (define @t125 () (@list @t113 @t112)) % 0.45/0.67 (define @t126 () (forall @t125 @t123)) % 0.45/0.67 (define @t127 () (forall @t125 @t122)) % 0.45/0.67 (define @t128 () (@list @t66 @t65)) % 0.45/0.67 (define @t129 () (or @t106 @t127)) % 0.45/0.67 (define @t130 () (forall @t90 (or @t105 @t88))) % 0.45/0.67 (define @t131 () (@var "BOUND_VARIABLE_8158" $$unsorted)) % 0.45/0.67 (define @t132 () (@var "BOUND_VARIABLE_8156" $$unsorted)) % 0.45/0.67 (define @t133 () (= @t132 @t131)) % 0.45/0.67 (define @t134 () (not (= (|tptp.'@+'| @t67 @t132) (|tptp.'@+'| @t67 @t131)))) % 0.45/0.67 (define @t135 () (= |tptp.'0'| @t67)) % 0.45/0.67 (define @t136 () (not @t135)) % 0.45/0.67 (define @t137 () (@var "BOUND_VARIABLE_8140" $$unsorted)) % 0.45/0.67 (define @t138 () (not (forall @t90 (or (not (= (|tptp.'@+'| @t137 @t66) (|tptp.'@+'| @t137 @t65))) @t88)))) % 0.45/0.67 (define @t139 () (not (tptp.nat_succeeds @t137))) % 0.45/0.67 (define @t140 () (tptp.s @t137)) % 0.45/0.67 (define @t141 () (not (= @t140 @t67))) % 0.45/0.67 (define @t142 () (or @t141 @t139 @t138)) % 0.45/0.67 (define @t143 () (and @t142 @t136)) % 0.45/0.67 (define @t144 () (or @t143 @t134 @t133)) % 0.45/0.67 (define @t145 () (or @t134 @t133)) % 0.45/0.67 (define @t146 () (or @t143 @t145)) % 0.45/0.67 (define @t147 () (@list @t67 @t137 @t132 @t131)) % 0.45/0.67 (define @t148 () (forall @t147 @t146)) % 0.45/0.67 (define @t149 () (forall (@list @t137 @t132 @t131) @t146)) % 0.45/0.67 (define @t150 () (forall (@list @t132 @t131) @t145)) % 0.45/0.67 (define @t151 () (@list @t137)) % 0.45/0.67 (define @t152 () (forall @t151 @t136)) % 0.45/0.67 (define @t153 () (forall @t151 @t142)) % 0.45/0.67 (define @t154 () (and @t153 @t152)) % 0.45/0.67 (define @t155 () (forall @t151 @t143)) % 0.45/0.67 (define @t156 () (or @t155 @t150)) % 0.45/0.67 (define @t157 () (forall @t90 (or (not @t94) @t88))) % 0.45/0.67 (define @t158 () (not @t157)) % 0.45/0.67 (define @t159 () (not @t59)) % 0.45/0.67 (define @t160 () (= @t60 @t67)) % 0.45/0.67 (define @t161 () (not @t160)) % 0.45/0.67 (define @t162 () (or @t161 @t159 @t158)) % 0.45/0.67 (define @t163 () (forall @t62 @t162)) % 0.45/0.67 (define @t164 () (not @t163)) % 0.45/0.67 (define @t165 () (or @t164 @t135)) % 0.45/0.67 (define @t166 () (and @t160 @t59 @t157)) % 0.45/0.67 (define @t167 () (forall @t62 (not @t166))) % 0.45/0.67 (define @t168 () (not @t167)) % 0.45/0.67 (define @t169 () (forall @t147 (or (and (or (not (= @t67 @t140)) @t139 @t138) @t136) @t134 @t133))) % 0.45/0.67 (define @t170 () (not @t169)) % 0.45/0.67 (define @t171 () (@quantifiers_skolemize @t169 3)) % 0.45/0.67 (define @t172 () (@quantifiers_skolemize @t169 0)) % 0.45/0.67 (define @t173 () (|tptp.'@+'| @t172 @t171)) % 0.45/0.67 (define @t174 () (@quantifiers_skolemize @t169 2)) % 0.45/0.67 (define @t175 () (|tptp.'@+'| @t172 @t174)) % 0.45/0.67 (define @t176 () (= @t175 @t173)) % 0.45/0.67 (define @t177 () (= @t174 @t171)) % 0.45/0.67 (define @t178 () (not @t176)) % 0.45/0.67 (define @t179 () (= |tptp.'0'| @t172)) % 0.45/0.67 (define @t180 () (not @t179)) % 0.45/0.67 (define @t181 () (@quantifiers_skolemize @t169 1)) % 0.45/0.67 (define @t182 () (forall @t90 (or (not (= (|tptp.'@+'| @t181 @t66) (|tptp.'@+'| @t181 @t65))) @t88))) % 0.45/0.67 (define @t183 () (not @t182)) % 0.45/0.67 (define @t184 () (tptp.nat_succeeds @t181)) % 0.45/0.67 (define @t185 () (not @t184)) % 0.45/0.67 (define @t186 () (tptp.s @t181)) % 0.45/0.67 (define @t187 () (= @t172 @t186)) % 0.45/0.67 (define @t188 () (not @t187)) % 0.45/0.67 (define @t189 () (or @t188 @t185 @t183)) % 0.45/0.67 (define @t190 () (and @t189 @t180)) % 0.45/0.67 (define @t191 () (or @t190 @t178 @t177)) % 0.45/0.67 (define @t192 () (@list @t191)) % 0.45/0.67 (define @t193 () (|tptp.'@+'| |tptp.'0'| @t174)) % 0.45/0.67 (define @t194 () (= @t174 @t193)) % 0.45/0.67 (define @t195 () (= @t171 (|tptp.'@+'| |tptp.'0'| @t171))) % 0.45/0.67 (define @t196 () (and @t179 @t176 @t194 @t195)) % 0.45/0.67 (define @t197 () (not @t189)) % 0.45/0.67 (define @t198 () (@list @t189)) % 0.45/0.67 (define @t199 () (|tptp.'@+'| @t181 @t171)) % 0.45/0.67 (define @t200 () (tptp.s @t199)) % 0.45/0.67 (define @t201 () (= (|tptp.'@+'| @t186 @t171) @t200)) % 0.45/0.67 (define @t202 () (or @t185 @t201)) % 0.45/0.67 (define @t203 () (@list false false)) % 0.45/0.67 (define @t204 () (|tptp.'@+'| @t181 @t174)) % 0.45/0.67 (define @t205 () (tptp.s @t204)) % 0.45/0.67 (define @t206 () (= (|tptp.'@+'| @t186 @t174) @t205)) % 0.45/0.67 (define @t207 () (or @t185 @t206)) % 0.45/0.67 (define @t208 () (not (= @t205 @t200))) % 0.45/0.67 (define @t209 () (= @t204 @t199)) % 0.45/0.67 (define @t210 () (or @t208 @t209)) % 0.45/0.67 (define @t211 () (forall @t9 (or (not @t8) @t5))) % 0.45/0.67 (define @t212 () (= @t199 @t204)) % 0.45/0.67 (define @t213 () (= @t200 @t205)) % 0.45/0.67 (define @t214 () (not @t213)) % 0.45/0.67 (define @t215 () (or @t214 @t212)) % 0.45/0.67 (define @t216 () (@list false)) % 0.45/0.67 (define @t217 () (not @t209)) % 0.45/0.67 (define @t218 () (or @t217 @t177)) % 0.45/0.67 (define @t219 () (not @t212)) % 0.45/0.67 (define @t220 () (or @t219 @t177)) % 0.45/0.67 (define @t221 () (@list true false)) % 0.45/0.67 (define @t222 () (not @t206)) % 0.45/0.67 (define @t223 () (not @t201)) % 0.45/0.67 (define @t224 () (= @t173 @t200)) % 0.45/0.67 (define @t225 () (= @t173 @t205)) % 0.45/0.67 (define @t226 () (and @t214 @t224 @t176 @t225)) % 0.45/0.67 (assume @p1 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 0.45/0.67 (assume @p2 @t10) % 0.45/0.67 (assume @p3 (tptp.gr |tptp.'0'|)) % 0.45/0.67 (assume @p4 (forall (@list @t11) (= (tptp.gr @t11) (tptp.gr (tptp.s @t11))))) % 0.45/0.67 (assume @p5 (forall @t17 (not (and @t16 @t15)))) % 0.45/0.67 (assume @p6 (forall @t17 (=> (tptp.times_terminates @t14 @t13 @t12) (or @t16 @t15)))) % 0.45/0.67 (assume @p7 (forall @t23 (not (and @t22 @t21)))) % 0.45/0.67 (assume @p8 (forall @t23 (=> (tptp.plus_terminates @t20 @t19 @t18) (or @t22 @t21)))) % 0.45/0.67 (assume @p9 (forall @t28 (not (and @t27 @t26)))) % 0.45/0.67 (assume @p10 (forall @t28 (=> (|tptp.'@=<_terminates'| @t25 @t24) (or @t27 @t26)))) % 0.45/0.67 (assume @p11 (forall @t33 (not (and @t32 @t31)))) % 0.45/0.67 (assume @p12 (forall @t33 (=> (|tptp.'@<_terminates'| @t30 @t29) (or @t32 @t31)))) % 0.45/0.67 (assume @p13 (forall @t37 (not (and @t36 @t35)))) % 0.45/0.67 (assume @p14 (forall @t37 (=> (tptp.nat_terminates @t34) (or @t36 @t35)))) % 0.45/0.67 (assume @p15 (forall @t43 (= (tptp.times_succeeds @t39 @t41 @t1) (or (exists @t9 (and @t42 (tptp.times_succeeds @t4 @t41 @t3) (tptp.plus_succeeds @t41 @t3 @t1))) (and @t40 @t38))))) % 0.45/0.67 (assume @p16 (forall @t43 (= (tptp.times_fails @t39 @t41 @t1) (and (forall @t9 (or @t46 @t45 (tptp.plus_fails @t41 @t3 @t1))) (or @t44 (not @t38)))))) % 0.45/0.67 (assume @p17 (forall @t43 (= (tptp.times_terminates @t39 @t41 @t1) (and (forall @t9 (and true (or @t46 (and (tptp.times_terminates @t4 @t41 @t3) (or @t45 (tptp.plus_terminates @t41 @t3 @t1)))))) true @t47)))) % 0.45/0.67 (assume @p18 (forall @t43 (= (tptp.plus_succeeds @t39 @t41 @t1) (or (exists @t9 (and @t42 @t49 (tptp.plus_succeeds @t4 @t41 @t3))) (and @t40 @t48))))) % 0.45/0.67 (assume @p19 (forall @t43 (= (tptp.plus_fails @t39 @t41 @t1) (and (forall @t9 (or @t46 @t50 (tptp.plus_fails @t4 @t41 @t3))) (or @t44 (not @t48)))))) % 0.45/0.67 (assume @p20 (forall @t43 (= (tptp.plus_terminates @t39 @t41 @t1) (and (forall @t9 (and true (or @t46 (and true (or @t50 (tptp.plus_terminates @t4 @t41 @t3)))))) true @t47)))) % 0.45/0.67 (assume @p21 (forall @t54 (= (|tptp.'@=<_succeeds'| @t39 @t41) (or (exists @t53 (and @t52 @t51 (|tptp.'@=<_succeeds'| @t1 @t4))) @t40)))) % 0.45/0.67 (assume @p22 (forall @t54 (= (|tptp.'@=<_fails'| @t39 @t41) (and (forall @t53 (or @t56 @t55 (|tptp.'@=<_fails'| @t1 @t4))) @t44)))) % 0.45/0.67 (assume @p23 (forall @t54 (= (|tptp.'@=<_terminates'| @t39 @t41) (and (forall @t53 (and true (or @t56 (and true (or @t55 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 0.45/0.67 (assume @p24 (forall @t54 (= (|tptp.'@<_succeeds'| @t39 @t41) (or (exists @t53 (and @t52 @t51 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t58 (and @t40 @t57)))))) % 0.45/0.67 (assume @p25 (forall @t54 (= (|tptp.'@<_fails'| @t39 @t41) (and (forall @t53 (or @t56 @t55 (|tptp.'@<_fails'| @t1 @t4))) (forall @t58 (or @t44 (not @t57))))))) % 0.45/0.67 (assume @p26 (forall @t54 (= (|tptp.'@<_terminates'| @t39 @t41) (and (forall @t53 (and true (or @t56 (and true (or @t55 (|tptp.'@<_terminates'| @t1 @t4)))))) (forall @t58 (and true @t47)))))) % 0.45/0.67 (assume @p27 (forall @t63 (= (tptp.nat_succeeds @t39) (or (exists @t62 (and @t61 @t59)) @t40)))) % 0.45/0.67 (assume @p28 (forall @t63 (= (tptp.nat_fails @t39) (and (forall @t62 (or @t64 (tptp.nat_fails @t41))) @t44)))) % 0.45/0.67 (assume @p29 (forall @t63 (= (tptp.nat_terminates @t39) (and (forall @t62 (and true (or @t64 (tptp.nat_terminates @t41)))) true)))) % 0.45/0.67 (assume @p30 (forall @t71 (=> @t70 (= (= @t69 @t65) @t68)))) % 0.45/0.67 (assume @p31 (forall @t71 (=> @t73 (= (= (|tptp.'@*'| @t67 @t66) @t65) (tptp.times_succeeds @t67 @t66 @t65))))) % 0.45/0.67 (assume @p32 (forall @t74 (=> @t70 (tptp.nat_terminates @t67)))) % 0.45/0.67 (assume @p33 (forall @t74 (=> @t70 @t75))) % 0.45/0.67 (assume @p34 (forall @t71 (=> @t70 @t76))) % 0.45/0.67 (assume @p35 (forall @t71 (=> @t77 @t76))) % 0.45/0.67 (assume @p36 (forall @t71 (=> @t68 @t70))) % 0.45/0.67 (assume @p37 (forall @t71 (=> (and @t68 @t72) @t77))) % 0.45/0.67 (assume @p38 (forall @t71 (=> (and @t68 @t77) @t72))) % 0.45/0.67 (assume @p39 (forall @t71 (=> @t68 @t76))) % 0.45/0.67 (assume @p40 (forall @t71 (=> @t68 @t75))) % 0.45/0.67 (assume @p41 (forall @t71 (=> (and @t68 @t79) @t78))) % 0.45/0.67 (assume @p42 (forall @t71 (=> (and @t68 @t78) @t79))) % 0.45/0.67 (assume @p43 (forall @t80 (=> @t70 (exists (@list @t65) @t68)))) % 0.45/0.67 (assume @p44 (forall (@list @t67 @t66 @t82 @t81) (=> (and (tptp.plus_succeeds @t67 @t66 @t82) (tptp.plus_succeeds @t67 @t66 @t81)) (= @t82 @t81)))) % 0.45/0.67 (assume @p45 @t84) % 0.45/0.67 (assume @p46 @t87) % 0.45/0.67 (assume @p47 (forall @t80 (=> @t73 (tptp.nat_succeeds @t69)))) % 0.45/0.67 (assume @p48 (forall @t71 (=> (and @t70 @t72 @t77) (= (|tptp.'@+'| @t69 @t65) (|tptp.'@+'| @t67 (|tptp.'@+'| @t66 @t65)))))) % 0.45/0.67 (assume @p49 (forall @t74 (=> @t70 (= (|tptp.'@+'| @t67 |tptp.'0'|) @t67)))) % 0.45/0.67 (assume @p50 (forall @t80 (=> @t73 (= (|tptp.'@+'| @t67 (tptp.s @t66)) @t85)))) % 0.45/0.67 (assume @p51 (forall @t80 (=> @t73 (= @t69 (|tptp.'@+'| @t66 @t67))))) % 0.45/0.67 (assume @p52 @t101) % 0.45/0.67 (assume @p53 @t104) % 0.45/0.67 (assume @p54 true) % 0.45/0.67 (step @p55 :rule aci_norm :args ((= (or (or @t106 @t105) @t88) @t107))) % 0.45/0.67 (step @p56 :rule refl :args (@t88)) % 0.45/0.67 (step @p57 :rule bool-and-de-morgan :args (@t70 @t89 true)) % 0.45/0.67 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or (not @t102) @t88))) % 0.45/0.67 (step @p59 :rule trans :premises (@p58 @p55)) % 0.45/0.67 (step @p60 :rule bool-impl-elim :args (@t102 @t88)) % 0.45/0.67 (step @p61 :rule trans :premises (@p60 @p59)) % 0.45/0.67 (step @p62 :rule cong :premises (@p61) :args (@t103)) % 0.45/0.67 (step @p63 :rule cong :premises (@p62) :args (@t104)) % 0.45/0.67 (step @p64 :rule eq_resolve :premises (@p53 @p63)) % 0.45/0.67 (step @p65 :rule alpha_equiv :args ((forall (@list @t110 @t109 @t108) (or (not (tptp.nat_succeeds @t110)) (not (= (|tptp.'@+'| @t110 @t109) (|tptp.'@+'| @t110 @t108))) (= @t109 @t108))) @t111 (@list @t66 @t65 @t67))) % 0.45/0.67 (step @p66 :rule alpha_equiv :args (@t118 (@list @t113 @t112 @t67) @t111)) % 0.45/0.67 (step @p67 :rule trans :premises (@p66 @p65)) % 0.45/0.67 (step @p68 :rule equiv_elim1 :premises (@p67)) % 0.45/0.67 (step @p69 :rule reordering :premises (@p68) :args ((or @t120 @t119))) % 0.45/0.67 (step @p70 :rule chain_m_resolution :premises (@p69 @p64) :args (@t119 @t121 (@list @t120))) % 0.45/0.67 (step @p71 :rule aci_norm :args ((= @t123 @t116))) % 0.45/0.67 (step @p72 :rule cong :premises (@p71) :args (@t124)) % 0.45/0.67 (step @p73 :rule quant-merge-prenex :args ((= (forall @t74 @t126) @t124))) % 0.45/0.67 (step @p74 :rule alpha_equiv :args (@t127 (@list @t113 @t112) @t128)) % 0.45/0.67 (step @p75 :rule refl :args (@t106)) % 0.45/0.67 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t129)) % 0.45/0.67 (step @p77 :rule quant-miniscope-or :args ((= @t126 @t129))) % 0.45/0.67 (step @p78 :rule trans :premises (@p77 @p76)) % 0.45/0.67 (step @p79 :rule symm :premises (@p78)) % 0.45/0.67 (step @p80 :rule cong :premises (@p79) :args ((forall @t74 (or @t106 @t130)))) % 0.45/0.67 (step @p81 :rule trans :premises (@p80 @p73)) % 0.45/0.67 (step @p82 :rule trans :premises (@p81 @p72)) % 0.45/0.67 (step @p83 :rule bool-impl-elim :args (@t70 @t130)) % 0.45/0.67 (step @p84 :rule cong :premises (@p83) :args ((forall @t74 (=> @t70 @t130)))) % 0.45/0.67 (step @p85 :rule trans :premises (@p84 @p82)) % 0.45/0.67 (step @p86 :rule bool-impl-elim :args (@t89 @t88)) % 0.45/0.67 (step @p87 :rule cong :premises (@p86) :args (@t91)) % 0.45/0.67 (step @p88 :rule refl :args (@t70)) % 0.45/0.67 (step @p89 :rule cong :premises (@p88 @p87) :args (@t92)) % 0.45/0.67 (step @p90 :rule cong :premises (@p89) :args (@t93)) % 0.45/0.67 (step @p91 :rule trans :premises (@p90 @p85)) % 0.45/0.67 (step @p92 :rule refl :args (@t133)) % 0.45/0.67 (step @p93 :rule refl :args (@t134)) % 0.45/0.67 (step @p94 :rule refl :args (@t136)) % 0.45/0.67 (step @p95 :rule refl :args (@t138)) % 0.45/0.67 (step @p96 :rule refl :args (@t139)) % 0.45/0.67 (step @p97 :rule eq-symm :args (@t140 @t67)) % 0.45/0.67 (step @p98 :rule cong :premises (@p97) :args (@t141)) % 0.45/0.67 (step @p99 :rule nary_cong :premises (@p98 @p96 @p95) :args (@t142)) % 0.45/0.67 (step @p100 :rule nary_cong :premises (@p99 @p94) :args (@t143)) % 0.45/0.67 (step @p101 :rule nary_cong :premises (@p100 @p93 @p92) :args (@t144)) % 0.45/0.67 (step @p102 :rule aci_norm :args ((= @t146 @t144))) % 0.45/0.67 (step @p103 :rule trans :premises (@p102 @p101)) % 0.45/0.67 (step @p104 :rule cong :premises (@p103) :args (@t148)) % 0.45/0.67 (step @p105 :rule quant-merge-prenex :args ((= (forall @t74 @t149) @t148))) % 0.45/0.67 (step @p106 :rule alpha_equiv :args (@t150 (@list @t132 @t131) @t128)) % 0.45/0.67 (step @p107 :rule quant-unused-vars :args ((= @t152 @t136))) % 0.45/0.67 (step @p108 :rule alpha_equiv :args (@t153 (@list @t137) (@list @t41))) % 0.45/0.67 (step @p109 :rule nary_cong :premises (@p108 @p107) :args (@t154)) % 0.45/0.67 (step @p110 :rule quant-miniscope-and :args ((= @t155 @t154))) % 0.45/0.67 (step @p111 :rule trans :premises (@p110 @p109)) % 0.45/0.67 (step @p112 :rule nary_cong :premises (@p111 @p106) :args (@t156)) % 0.45/0.67 (step @p113 :rule quant-miniscope-or :args ((= @t149 @t156))) % 0.45/0.67 (step @p114 :rule trans :premises (@p113 @p112)) % 0.45/0.67 (step @p115 :rule symm :premises (@p114)) % 0.45/0.67 (step @p116 :rule cong :premises (@p115) :args ((forall @t74 (or (and @t163 @t136) @t130)))) % 0.45/0.67 (step @p117 :rule trans :premises (@p116 @p105)) % 0.45/0.67 (step @p118 :rule trans :premises (@p117 @p104)) % 0.45/0.67 (step @p119 :rule refl :args (@t130)) % 0.45/0.67 (step @p120 :rule refl :args (@t136)) % 0.45/0.67 (step @p121 :rule bool-double-not-elim :args (@t163)) % 0.45/0.67 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((and (not @t164) @t136))) % 0.45/0.67 (step @p123 :rule bool-or-de-morgan :args (@t164 @t135 false)) % 0.45/0.67 (step @p124 :rule trans :premises (@p123 @p122)) % 0.45/0.67 (step @p125 :rule nary_cong :premises (@p124 @p119) :args ((or (not @t165) @t130))) % 0.45/0.67 (step @p126 :rule bool-impl-elim :args (@t165 @t130)) % 0.45/0.67 (step @p127 :rule trans :premises (@p126 @p125)) % 0.45/0.67 (step @p128 :rule cong :premises (@p127) :args ((forall @t74 (=> @t165 @t130)))) % 0.45/0.67 (step @p129 :rule trans :premises (@p128 @p118)) % 0.45/0.67 (step @p130 :rule eq-symm :args (@t67 |tptp.'0'|)) % 0.45/0.67 (step @p131 :rule aci_norm :args ((= (or @t161 (or @t159 @t158)) @t162))) % 0.45/0.67 (step @p132 :rule bool-and-de-morgan :args (@t59 @t157 true)) % 0.45/0.67 (step @p133 :rule refl :args (@t161)) % 0.45/0.67 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t161 (not (and @t59 @t157))))) % 0.45/0.67 (step @p135 :rule bool-and-de-morgan :args (@t160 @t59 (and @t157))) % 0.45/0.67 (step @p136 :rule trans :premises (@p135 @p134)) % 0.45/0.67 (step @p137 :rule trans :premises (@p136 @p131)) % 0.45/0.67 (step @p138 :rule cong :premises (@p137) :args (@t167)) % 0.45/0.67 (step @p139 :rule cong :premises (@p138) :args (@t168)) % 0.45/0.67 (step @p140 :rule exists-elim :args ((= (exists @t62 @t166) @t168))) % 0.45/0.67 (step @p141 :rule trans :premises (@p140 @p139)) % 0.45/0.67 (step @p142 :rule bool-impl-elim :args (@t94 @t88)) % 0.45/0.67 (step @p143 :rule cong :premises (@p142) :args (@t95)) % 0.45/0.67 (step @p144 :rule refl :args (@t59)) % 0.45/0.67 (step @p145 :rule eq-symm :args (@t67 @t60)) % 0.45/0.67 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143) :args (@t96)) % 0.45/0.67 (step @p147 :rule cong :premises (@p146) :args (@t97)) % 0.45/0.67 (step @p148 :rule trans :premises (@p147 @p141)) % 0.45/0.67 (step @p149 :rule nary_cong :premises (@p148 @p130) :args (@t98)) % 0.45/0.67 (step @p150 :rule cong :premises (@p149 @p87) :args (@t99)) % 0.45/0.67 (step @p151 :rule cong :premises (@p150) :args (@t100)) % 0.45/0.67 (step @p152 :rule trans :premises (@p151 @p129)) % 0.45/0.67 (step @p153 :rule cong :premises (@p152 @p91) :args (@t101)) % 0.45/0.67 (step @p154 :rule eq_resolve :premises (@p52 @p153)) % 0.45/0.67 (step @p155 :rule implies_elim :premises (@p154)) % 0.45/0.67 (step @p156 :rule reordering :premises (@p155) :args ((or @t118 @t170))) % 0.45/0.67 (step @p157 :rule chain_m_resolution :premises (@p156 @p70) :args (@t170 @t121 (@list @t118))) % 0.45/0.67 (step @p158 :rule skolemize :premises (@p157)) % 0.45/0.67 (step @p159 :rule bool-double-not-elim :args (@t176)) % 0.45/0.67 (step @p160 :rule refl :args (@t191)) % 0.45/0.67 (step @p161 :rule nary_cong :premises (@p160 @p159) :args ((or @t191 (not @t178)))) % 0.45/0.67 (step @p162 :rule cnf_or_neg :args (@t191 1)) % 0.45/0.67 (step @p163 :rule eq_resolve :premises (@p162 @p161)) % 0.45/0.67 (step @p164 :rule reordering :premises (@p163) :args ((or @t176 @t191))) % 0.45/0.67 (step @p165 :rule chain_m_resolution :premises (@p164 @p158) :args (@t176 @t121 @t192)) % 0.45/0.67 (step @p166 :rule cnf_or_neg :args (@t191 0)) % 0.45/0.67 (step @p167 :rule chain_m_resolution :premises (@p166 @p158) :args ((not @t190) @t121 @t192)) % 0.45/0.67 (step @p168 :rule cnf_or_neg :args (@t191 2)) % 0.45/0.67 (step @p169 :rule chain_m_resolution :premises (@p168 @p158) :args ((not @t177) @t121 @t192)) % 0.45/0.67 (step @p170 :rule eq-symm :args (@t83 @t66)) % 0.45/0.67 (step @p171 :rule cong :premises (@p170) :args (@t84)) % 0.45/0.67 (step @p172 :rule eq_resolve :premises (@p45 @p171)) % 0.45/0.67 (step @p173 :rule instantiate :premises (@p172) :args ((@list @t174))) % 0.45/0.67 (step @p174 :rule instantiate :premises (@p172) :args ((@list @t171))) % 0.45/0.67 (assume-push @p341 @t179) % 0.45/0.67 (assume-push @p342 @t176) % 0.45/0.67 (assume-push @p343 @t194) % 0.45/0.67 (assume-push @p344 @t195) % 0.45/0.67 (assume-push @p345 @t195) % 0.45/0.67 (assume-push @p346 @t179) % 0.45/0.67 (assume-push @p347 @t176) % 0.45/0.67 (assume-push @p348 @t194) % 0.45/0.67 (step @p183 :rule symm :premises (@p174)) % 0.45/0.67 (step @p184 :rule refl :args (@t171)) % 0.45/0.67 (step @p185 :rule symm :premises (@p341)) % 0.45/0.67 (step @p186 :rule cong :premises (@p185 @p184) :args (@t173)) % 0.45/0.67 (step @p187 :rule refl :args (@t174)) % 0.45/0.67 (step @p188 :rule cong :premises (@p341 @p187) :args (@t193)) % 0.45/0.67 (step @p189 :rule trans :premises (@p173 @p188 @p165 @p186 @p183)) % 0.45/0.67 (step-pop @p349 :rule scope :premises (@p189)) % 0.45/0.67 (step-pop @p350 :rule scope :premises (@p349)) % 0.45/0.67 (step-pop @p351 :rule scope :premises (@p350)) % 0.45/0.67 (step-pop @p352 :rule scope :premises (@p351)) % 0.45/0.67 (step @p190 :rule process_scope :premises (@p352) :args (@t177)) % 0.45/0.67 (step @p195 :rule and_intro :premises (@p174 @p341 @p165 @p173)) % 0.45/0.67 (step @p196 :rule modus_ponens :premises (@p195 @p190)) % 0.45/0.67 (step-pop @p353 :rule scope :premises (@p196)) % 0.45/0.67 (step-pop @p354 :rule scope :premises (@p353)) % 0.45/0.67 (step-pop @p355 :rule scope :premises (@p354)) % 0.45/0.67 (step-pop @p356 :rule scope :premises (@p355)) % 0.45/0.67 (step @p197 :rule process_scope :premises (@p356) :args (@t177)) % 0.45/0.67 (step @p202 :rule implies_elim :premises (@p197)) % 0.45/0.67 (step @p203 :rule cnf_and_neg :args (@t196)) % 0.45/0.67 (step @p204 :rule resolution :premises (@p203 @p202) :args (true @t196)) % 0.45/0.67 (step @p205 :rule reordering :premises (@p204) :args ((or @t180 @t178 @t177 (not @t194) (not @t195)))) % 0.45/0.67 (step @p206 :rule chain_m_resolution :premises (@p205 @p174 @p173 @p169 @p165) :args (@t180 (@list false false true false) (@list @t195 @t194 @t177 @t176))) % 0.45/0.67 (step @p207 :rule bool-double-not-elim :args (@t179)) % 0.45/0.67 (step @p208 :rule refl :args (@t197)) % 0.45/0.67 (step @p209 :rule refl :args (@t190)) % 0.45/0.67 (step @p210 :rule nary_cong :premises (@p209 @p208 @p207) :args ((or @t190 @t197 (not @t180)))) % 0.45/0.67 (step @p211 :rule cnf_and_neg :args (@t190)) % 0.45/0.67 (step @p212 :rule eq_resolve :premises (@p211 @p210)) % 0.45/0.67 (step @p213 :rule reordering :premises (@p212) :args ((or @t179 @t190 @t197))) % 0.45/0.67 (step @p214 :rule chain_m_resolution :premises (@p213 @p206 @p167) :args (@t197 (@list true true) (@list @t179 @t190))) % 0.45/0.67 (step @p215 :rule bool-double-not-elim :args (@t187)) % 0.45/0.67 (step @p216 :rule refl :args (@t189)) % 0.45/0.67 (step @p217 :rule nary_cong :premises (@p216 @p215) :args ((or @t189 (not @t188)))) % 0.45/0.67 (step @p218 :rule cnf_or_neg :args (@t189 0)) % 0.45/0.67 (step @p219 :rule eq_resolve :premises (@p218 @p217)) % 0.45/0.67 (step @p220 :rule reordering :premises (@p219) :args ((or @t187 @t189))) % 0.45/0.67 (step @p221 :rule chain_m_resolution :premises (@p220 @p214) :args (@t187 @t121 @t198)) % 0.45/0.67 (step @p222 :rule bool-impl-elim :args (@t70 @t86)) % 0.45/0.67 (step @p223 :rule cong :premises (@p222) :args (@t87)) % 0.45/0.67 (step @p224 :rule eq_resolve :premises (@p46 @p223)) % 0.45/0.67 (step @p225 :rule instantiate :premises (@p224) :args ((@list @t181 @t171))) % 0.45/0.67 (step @p226 :rule bool-double-not-elim :args (@t184)) % 0.45/0.67 (step @p227 :rule nary_cong :premises (@p216 @p226) :args ((or @t189 (not @t185)))) % 0.45/0.67 (step @p228 :rule cnf_or_neg :args (@t189 1)) % 0.45/0.67 (step @p229 :rule eq_resolve :premises (@p228 @p227)) % 0.45/0.67 (step @p230 :rule reordering :premises (@p229) :args ((or @t184 @t189))) % 0.45/0.67 (step @p231 :rule chain_m_resolution :premises (@p230 @p214) :args (@t184 @t121 @t198)) % 0.45/0.67 (step @p232 :rule cnf_or_pos :args (@t202)) % 0.45/0.67 (step @p233 :rule reordering :premises (@p232) :args ((or @t185 @t201 (not @t202)))) % 0.45/0.67 (step @p234 :rule chain_m_resolution :premises (@p233 @p231 @p225) :args (@t201 @t203 (@list @t184 @t202))) % 0.45/0.67 (step @p235 :rule instantiate :premises (@p224) :args ((@list @t181 @t174))) % 0.45/0.67 (step @p236 :rule cnf_or_pos :args (@t207)) % 0.45/0.67 (step @p237 :rule reordering :premises (@p236) :args ((or @t185 @t206 (not @t207)))) % 0.45/0.67 (step @p238 :rule chain_m_resolution :premises (@p237 @p231 @p235) :args (@t206 @t203 (@list @t184 @t207))) % 0.45/0.67 (step @p239 :rule bool-impl-elim :args (@t8 @t5)) % 0.45/0.67 (step @p240 :rule cong :premises (@p239) :args (@t10)) % 0.45/0.67 (step @p241 :rule eq_resolve :premises (@p2 @p240)) % 0.45/0.67 (step @p242 :rule eq-symm :args (@t204 @t199)) % 0.45/0.67 (step @p243 :rule eq-symm :args (@t205 @t200)) % 0.45/0.67 (step @p244 :rule cong :premises (@p243) :args (@t208)) % 0.45/0.67 (step @p245 :rule nary_cong :premises (@p244 @p242) :args (@t210)) % 0.45/0.67 (step @p246 :rule refl :args (@t211)) % 0.45/0.67 (step @p247 :rule cong :premises (@p246 @p245) :args ((=> @t211 @t210))) % 0.45/0.67 (assume-push @p357 @t211) % 0.45/0.67 (step @p249 :rule instantiate :premises (@p241) :args ((@list @t204 @t199))) % 0.45/0.67 (step-pop @p358 :rule scope :premises (@p249)) % 0.45/0.67 (step @p250 :rule process_scope :premises (@p358) :args (@t210)) % 0.45/0.67 (step @p252 :rule eq_resolve :premises (@p250 @p247)) % 0.45/0.67 (step @p253 :rule implies_elim :premises (@p252)) % 0.45/0.67 (step @p254 :rule chain_m_resolution :premises (@p253 @p241) :args (@t215 @t216 (@list @t211))) % 0.45/0.67 (step @p255 :rule bool-double-not-elim :args (@t182)) % 0.45/0.67 (step @p256 :rule nary_cong :premises (@p216 @p255) :args ((or @t189 (not @t183)))) % 0.45/0.67 (step @p257 :rule cnf_or_neg :args (@t189 2)) % 0.45/0.67 (step @p258 :rule eq_resolve :premises (@p257 @p256)) % 0.45/0.67 (step @p259 :rule reordering :premises (@p258) :args ((or @t182 @t189))) % 0.45/0.67 (step @p260 :rule chain_m_resolution :premises (@p259 @p214) :args (@t182 @t121 @t198)) % 0.45/0.67 (step @p261 :rule refl :args (@t177)) % 0.45/0.67 (step @p262 :rule cong :premises (@p242) :args (@t217)) % 0.45/0.67 (step @p263 :rule nary_cong :premises (@p262 @p261) :args (@t218)) % 0.45/0.67 (step @p264 :rule refl :args (@t182)) % 0.45/0.67 (step @p265 :rule cong :premises (@p264 @p263) :args ((=> @t182 @t218))) % 0.45/0.67 (assume-push @p359 @t182) % 0.45/0.67 (step @p267 :rule instantiate :premises (@p359) :args ((@list @t174 @t171))) % 0.45/0.67 (step-pop @p360 :rule scope :premises (@p267)) % 0.45/0.67 (step @p268 :rule process_scope :premises (@p360) :args (@t218)) % 0.45/0.67 (step @p270 :rule eq_resolve :premises (@p268 @p265)) % 0.45/0.67 (step @p271 :rule implies_elim :premises (@p270)) % 0.45/0.67 (step @p272 :rule chain_m_resolution :premises (@p271 @p260) :args (@t220 @t216 (@list @t182))) % 0.45/0.67 (step @p273 :rule cnf_or_pos :args (@t220)) % 0.45/0.67 (step @p274 :rule reordering :premises (@p273) :args ((or @t177 @t219 (not @t220)))) % 0.45/0.67 (step @p275 :rule chain_m_resolution :premises (@p274 @p169 @p272) :args (@t219 @t221 (@list @t177 @t220))) % 0.45/0.67 (step @p276 :rule cnf_or_pos :args (@t215)) % 0.45/0.67 (step @p277 :rule reordering :premises (@p276) :args ((or @t214 @t212 (not @t215)))) % 0.45/0.67 (step @p278 :rule chain_m_resolution :premises (@p277 @p275 @p254) :args (@t214 @t221 (@list @t212 @t215))) % 0.45/0.67 (step @p279 :rule bool-double-not-elim :args (@t213)) % 0.45/0.67 (step @p280 :rule refl :args (@t222)) % 0.45/0.67 (step @p281 :rule refl :args (@t223)) % 0.45/0.67 (step @p282 :rule refl :args (@t178)) % 0.45/0.67 (step @p283 :rule refl :args (@t188)) % 0.45/0.67 (step @p284 :rule nary_cong :premises (@p283 @p282 @p281 @p280 @p279) :args ((or @t188 @t178 @t223 @t222 (not @t214)))) % 0.45/0.67 (assume-push @p361 @t214) % 0.45/0.67 (assume-push @p362 @t224) % 0.45/0.67 (assume-push @p363 @t176) % 0.45/0.67 (assume-push @p364 @t225) % 0.45/0.67 (step @p289 :rule evaluate :args ((= true false))) % 0.45/0.67 (step @p290 :rule false_intro :premises (@p361)) % 0.45/0.67 (step @p291 :rule trans :premises (@p165 @p362)) % 0.45/0.67 (step @p292 :rule symm :premises (@p291)) % 0.45/0.67 (step @p293 :rule trans :premises (@p292 @p165 @p364)) % 0.45/0.67 (step @p294 :rule true_intro :premises (@p293)) % 0.45/0.67 (step @p295 :rule symm :premises (@p294)) % 0.45/0.67 (step @p296 :rule trans :premises (@p295 @p290)) % 0.45/0.67 (step @p297 false :rule eq_resolve :premises (@p296 @p289)) % 0.45/0.67 (step-pop @p365 :rule scope :premises (@p297)) % 0.45/0.67 (step-pop @p366 :rule scope :premises (@p365)) % 0.45/0.67 (step-pop @p367 :rule scope :premises (@p366)) % 0.45/0.67 (step-pop @p368 :rule scope :premises (@p367)) % 0.45/0.67 (step @p298 :rule process_scope :premises (@p368) :args (false)) % 0.45/0.67 (assume-push @p369 @t187) % 0.45/0.67 (assume-push @p370 @t176) % 0.45/0.67 (assume-push @p371 @t201) % 0.45/0.67 (assume-push @p372 @t206) % 0.45/0.67 (assume-push @p373 @t214) % 0.45/0.67 (assume-push @p374 @t206) % 0.45/0.67 (assume-push @p375 @t187) % 0.45/0.67 (assume-push @p376 @t176) % 0.45/0.67 (step @p187 :rule refl :args (@t174)) % 0.45/0.67 (step @p311 :rule cong :premises (@p369 @p187) :args (@t175)) % 0.45/0.67 (step @p312 :rule symm :premises (@p165)) % 0.45/0.67 (step @p313 :rule trans :premises (@p312 @p311 @p372)) % 0.45/0.67 (step-pop @p377 :rule scope :premises (@p313)) % 0.45/0.67 (step-pop @p378 :rule scope :premises (@p377)) % 0.45/0.67 (step-pop @p379 :rule scope :premises (@p378)) % 0.45/0.67 (step @p314 :rule process_scope :premises (@p379) :args (@t225)) % 0.45/0.67 (step @p318 :rule and_intro :premises (@p372 @p369 @p165)) % 0.45/0.67 (step @p319 :rule modus_ponens :premises (@p318 @p314)) % 0.45/0.67 (assume-push @p380 @t201) % 0.45/0.67 (assume-push @p381 @t187) % 0.45/0.67 (step @p184 :rule refl :args (@t171)) % 0.45/0.67 (step @p322 :rule cong :premises (@p369 @p184) :args (@t173)) % 0.45/0.67 (step @p323 :rule trans :premises (@p322 @p371)) % 0.45/0.67 (step-pop @p382 :rule scope :premises (@p323)) % 0.45/0.67 (step-pop @p383 :rule scope :premises (@p382)) % 0.45/0.67 (step @p324 :rule process_scope :premises (@p383) :args (@t224)) % 0.45/0.68 (step @p327 :rule and_intro :premises (@p371 @p369)) % 0.45/0.68 (step @p328 :rule modus_ponens :premises (@p327 @p324)) % 0.45/0.68 (step @p329 :rule and_intro :premises (@p373 @p328 @p165 @p319)) % 0.45/0.68 (step-pop @p384 :rule scope :premises (@p329)) % 0.45/0.68 (step-pop @p385 :rule scope :premises (@p384)) % 0.45/0.68 (step-pop @p386 :rule scope :premises (@p385)) % 0.45/0.68 (step-pop @p387 :rule scope :premises (@p386)) % 0.45/0.68 (step-pop @p388 :rule scope :premises (@p387)) % 0.45/0.68 (step @p330 :rule process_scope :premises (@p388) :args (@t226)) % 0.45/0.68 (step @p336 :rule implies_elim :premises (@p330)) % 0.45/0.68 (step @p337 :rule resolution :premises (@p336 @p298) :args (true @t226)) % 0.45/0.68 (step @p338 :rule not_and :premises (@p337)) % 0.45/0.68 (step @p339 :rule eq_resolve :premises (@p338 @p284)) % 0.45/0.68 (step @p340 false :rule chain_m_resolution :premises (@p339 @p278 @p238 @p234 @p221 @p165) :args (false (@list true false false false false) (@list @t213 @t206 @t201 @t187 @t176))) % 0.45/0.68 ) % 0.45/0.68 % SZS output end Proof % 0.45/0.68 % cvc5 exiting %------------------------------------------------------------------------------