%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX046+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:07:02 AM UTC 2026 % Result : Theorem 0.62s 0.89s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWX046+1 : TPTP v9.2.1. Released v9.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 22:54:03 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.62/0.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.62/0.89 % SZS status Theorem % 0.62/0.89 % SZS output start Proof % 0.62/0.89 ( % 0.62/0.89 (declare-sort $$unsorted 0) % 0.62/0.89 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 0.62/0.89 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.62/0.89 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 0.62/0.89 (declare-const tptp.gr (-> $$unsorted Bool)) % 0.62/0.89 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.89 (declare-const |tptp.'0'| $$unsorted) % 0.62/0.89 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.89 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.89 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 0.62/0.89 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 0.62/0.89 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.89 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.89 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 0.62/0.89 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.89 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.89 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.89 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 0.62/0.89 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 0.62/0.89 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 0.62/0.89 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 0.62/0.89 (define @t1 () (@var "Xx3" $$unsorted)) % 0.62/0.89 (define @t2 () (tptp.s @t1)) % 0.62/0.89 (define @t3 () (@var "Xx5" $$unsorted)) % 0.62/0.89 (define @t4 () (@var "Xx4" $$unsorted)) % 0.62/0.89 (define @t5 () (tptp.s @t3)) % 0.62/0.89 (define @t6 () (tptp.s @t4)) % 0.62/0.89 (define @t7 () (@list @t4 @t3)) % 0.62/0.89 (define @t8 () (@var "Xx6" $$unsorted)) % 0.62/0.89 (define @t9 () (@var "Xx9" $$unsorted)) % 0.62/0.89 (define @t10 () (@var "Xx8" $$unsorted)) % 0.62/0.89 (define @t11 () (@var "Xx7" $$unsorted)) % 0.62/0.89 (define @t12 () (tptp.times_fails @t11 @t10 @t9)) % 0.62/0.89 (define @t13 () (tptp.times_succeeds @t11 @t10 @t9)) % 0.62/0.89 (define @t14 () (@list @t11 @t10 @t9)) % 0.62/0.89 (define @t15 () (@var "Xx12" $$unsorted)) % 0.62/0.89 (define @t16 () (@var "Xx11" $$unsorted)) % 0.62/0.89 (define @t17 () (@var "Xx10" $$unsorted)) % 0.62/0.89 (define @t18 () (tptp.plus_fails @t17 @t16 @t15)) % 0.62/0.89 (define @t19 () (tptp.plus_succeeds @t17 @t16 @t15)) % 0.62/0.89 (define @t20 () (@list @t17 @t16 @t15)) % 0.62/0.89 (define @t21 () (@var "Xx14" $$unsorted)) % 0.62/0.89 (define @t22 () (@var "Xx13" $$unsorted)) % 0.62/0.89 (define @t23 () (|tptp.'@=<_fails'| @t22 @t21)) % 0.62/0.89 (define @t24 () (|tptp.'@=<_succeeds'| @t22 @t21)) % 0.62/0.89 (define @t25 () (@list @t22 @t21)) % 0.62/0.89 (define @t26 () (@var "Xx16" $$unsorted)) % 0.62/0.89 (define @t27 () (@var "Xx15" $$unsorted)) % 0.62/0.89 (define @t28 () (|tptp.'@<_fails'| @t27 @t26)) % 0.62/0.89 (define @t29 () (|tptp.'@<_succeeds'| @t27 @t26)) % 0.62/0.89 (define @t30 () (@list @t27 @t26)) % 0.62/0.89 (define @t31 () (@var "Xx17" $$unsorted)) % 0.62/0.89 (define @t32 () (tptp.nat_fails @t31)) % 0.62/0.89 (define @t33 () (tptp.nat_succeeds @t31)) % 0.62/0.89 (define @t34 () (@list @t31)) % 0.62/0.89 (define @t35 () (= @t1 |tptp.'0'|)) % 0.62/0.89 (define @t36 () (@var "Xx1" $$unsorted)) % 0.62/0.89 (define @t37 () (= @t36 |tptp.'0'|)) % 0.62/0.89 (define @t38 () (@var "Xx2" $$unsorted)) % 0.62/0.89 (define @t39 () (= @t36 @t6)) % 0.62/0.89 (define @t40 () (@list @t36 @t38 @t1)) % 0.62/0.89 (define @t41 () (not @t37)) % 0.62/0.89 (define @t42 () (tptp.times_fails @t4 @t38 @t3)) % 0.62/0.89 (define @t43 () (not @t39)) % 0.62/0.89 (define @t44 () (or @t41 true)) % 0.62/0.89 (define @t45 () (= @t1 @t38)) % 0.62/0.89 (define @t46 () (= @t1 @t5)) % 0.62/0.89 (define @t47 () (not @t46)) % 0.62/0.89 (define @t48 () (= @t38 @t6)) % 0.62/0.89 (define @t49 () (= @t36 @t2)) % 0.62/0.89 (define @t50 () (@list @t1 @t4)) % 0.62/0.89 (define @t51 () (@list @t36 @t38)) % 0.62/0.89 (define @t52 () (not @t48)) % 0.62/0.89 (define @t53 () (not @t49)) % 0.62/0.89 (define @t54 () (= @t38 @t5)) % 0.62/0.89 (define @t55 () (@list @t3)) % 0.62/0.89 (define @t56 () (tptp.nat_succeeds @t38)) % 0.62/0.89 (define @t57 () (tptp.s @t38)) % 0.62/0.89 (define @t58 () (= @t36 @t57)) % 0.62/0.89 (define @t59 () (@list @t38)) % 0.62/0.89 (define @t60 () (@list @t36)) % 0.62/0.89 (define @t61 () (not @t58)) % 0.62/0.89 (define @t62 () (@var "Xz" $$unsorted)) % 0.62/0.89 (define @t63 () (@var "Xy" $$unsorted)) % 0.62/0.89 (define @t64 () (@var "Xx" $$unsorted)) % 0.62/0.89 (define @t65 () (tptp.plus_succeeds @t64 @t63 @t62)) % 0.62/0.89 (define @t66 () (|tptp.'@+'| @t64 @t63)) % 0.62/0.89 (define @t67 () (tptp.nat_succeeds @t64)) % 0.62/0.89 (define @t68 () (@list @t64 @t63 @t62)) % 0.62/0.89 (define @t69 () (tptp.times_succeeds @t64 @t63 @t62)) % 0.62/0.89 (define @t70 () (|tptp.'@*'| @t64 @t63)) % 0.62/0.89 (define @t71 () (tptp.nat_succeeds @t63)) % 0.62/0.89 (define @t72 () (and @t67 @t71)) % 0.62/0.89 (define @t73 () (@list @t64)) % 0.62/0.89 (define @t74 () (tptp.gr @t64)) % 0.62/0.89 (define @t75 () (tptp.plus_terminates @t64 @t63 @t62)) % 0.62/0.89 (define @t76 () (tptp.nat_succeeds @t62)) % 0.62/0.89 (define @t77 () (tptp.gr @t62)) % 0.62/0.89 (define @t78 () (tptp.gr @t63)) % 0.62/0.89 (define @t79 () (@list @t62)) % 0.62/0.89 (define @t80 () (@list @t64 @t63)) % 0.62/0.89 (define @t81 () (@var "Xz2" $$unsorted)) % 0.62/0.89 (define @t82 () (@var "Xz1" $$unsorted)) % 0.62/0.89 (define @t83 () (= @t82 @t81)) % 0.62/0.89 (define @t84 () (@list @t64 @t63 @t82 @t81)) % 0.62/0.89 (define @t85 () (@list @t63)) % 0.62/0.89 (define @t86 () (tptp.s @t64)) % 0.62/0.89 (define @t87 () (|tptp.'@+'| @t86 @t63)) % 0.62/0.89 (define @t88 () (|tptp.'@+'| @t63 @t62)) % 0.62/0.89 (define @t89 () (and @t67 @t71 @t76)) % 0.62/0.89 (define @t90 () (tptp.s @t63)) % 0.62/0.89 (define @t91 () (|tptp.'@+'| @t64 @t90)) % 0.62/0.89 (define @t92 () (|tptp.'@+'| @t63 @t64)) % 0.62/0.89 (define @t93 () (|tptp.'@+'| @t64 @t62)) % 0.62/0.89 (define @t94 () (tptp.nat_succeeds @t70)) % 0.62/0.89 (define @t95 () (forall @t80 (=> @t72 @t94))) % 0.62/0.89 (define @t96 () (|tptp.'@*'| @t63 @t62)) % 0.62/0.89 (define @t97 () (|tptp.'@*'| @t64 @t62)) % 0.62/0.89 (define @t98 () (|tptp.'@*'| @t63 @t64)) % 0.62/0.89 (define @t99 () (tptp.s |tptp.'0'|)) % 0.62/0.89 (define @t100 () (= (|tptp.'@*'| @t62 @t66) (|tptp.'@+'| (|tptp.'@*'| @t62 @t64) (|tptp.'@*'| @t62 @t63)))) % 0.62/0.89 (define @t101 () (forall @t68 (=> @t89 @t100))) % 0.62/0.89 (define @t102 () (|tptp.'@<_terminates'| @t64 @t63)) % 0.62/0.89 (define @t103 () (|tptp.'@<_succeeds'| @t64 @t63)) % 0.62/0.89 (define @t104 () (tptp.s @t62)) % 0.62/0.89 (define @t105 () (|tptp.'@<_succeeds'| @t64 @t62)) % 0.62/0.89 (define @t106 () (|tptp.'@<_succeeds'| @t64 @t90)) % 0.62/0.89 (define @t107 () (|tptp.'@<_succeeds'| @t63 @t62)) % 0.62/0.89 (define @t108 () (= @t64 @t63)) % 0.62/0.89 (define @t109 () (or @t103 @t108)) % 0.62/0.89 (define @t110 () (= @t64 |tptp.'0'|)) % 0.62/0.89 (define @t111 () (|tptp.'@=<_terminates'| @t64 @t63)) % 0.62/0.89 (define @t112 () (|tptp.'@=<_succeeds'| @t64 @t63)) % 0.62/0.89 (define @t113 () (forall @t80 (=> @t112 @t67))) % 0.62/0.89 (define @t114 () (exists @t79 (= @t93 @t63))) % 0.62/0.89 (define @t115 () (=> @t112 @t114)) % 0.62/0.89 (define @t116 () (forall @t80 @t115)) % 0.62/0.89 (define @t117 () (|tptp.'@=<_succeeds'| @t64 @t64)) % 0.62/0.89 (define @t118 () (forall @t73 (=> @t67 @t117))) % 0.62/0.89 (define @t119 () (|tptp.'@=<_succeeds'| @t63 @t64)) % 0.62/0.89 (define @t120 () (|tptp.'@=<_succeeds'| @t63 @t62)) % 0.62/0.89 (define @t121 () (|tptp.'@<_succeeds'| @t66 @t93)) % 0.62/0.89 (define @t122 () (|tptp.'@<_succeeds'| @t93 @t88)) % 0.62/0.89 (define @t123 () (|tptp.'@=<_succeeds'| @t66 @t93)) % 0.62/0.89 (define @t124 () (|tptp.'@=<_succeeds'| @t64 @t66)) % 0.62/0.89 (define @t125 () (forall @t80 (=> @t67 @t124))) % 0.62/0.89 (define @t126 () (and @t67 @t123)) % 0.62/0.89 (define @t127 () (forall @t68 (=> @t126 @t120))) % 0.62/0.89 (define @t128 () (@var "Xy2" $$unsorted)) % 0.62/0.89 (define @t129 () (@var "Xy1" $$unsorted)) % 0.62/0.89 (define @t130 () (|tptp.'@+'| @t129 @t128)) % 0.62/0.89 (define @t131 () (|tptp.'@+'| @t36 @t38)) % 0.62/0.89 (define @t132 () (tptp.nat_succeeds @t129)) % 0.62/0.89 (define @t133 () (|tptp.'@=<_succeeds'| @t38 @t128)) % 0.62/0.89 (define @t134 () (|tptp.'@=<_succeeds'| @t36 @t129)) % 0.62/0.89 (define @t135 () (@list @t36 @t38 @t129 @t128)) % 0.62/0.89 (define @t136 () (|tptp.'@<_succeeds'| @t131 @t130)) % 0.62/0.89 (define @t137 () (|tptp.'@<_succeeds'| @t36 @t129)) % 0.62/0.89 (define @t138 () (|tptp.'@<_succeeds'| @t38 @t128)) % 0.62/0.89 (define @t139 () (|tptp.'@=<_succeeds'| @t70 @t97)) % 0.62/0.89 (define @t140 () (and @t76 @t120)) % 0.62/0.89 (define @t141 () (@list @t63 @t62)) % 0.62/0.89 (define @t142 () (forall @t141 (=> @t140 @t139))) % 0.62/0.89 (define @t143 () (and @t67 @t120 @t76)) % 0.62/0.89 (define @t144 () (forall @t68 (=> @t143 @t139))) % 0.62/0.89 (define @t145 () (not @t144)) % 0.62/0.89 (define @t146 () (not @t76)) % 0.62/0.89 (define @t147 () (not @t120)) % 0.62/0.89 (define @t148 () (not @t67)) % 0.62/0.89 (define @t149 () (or @t148 @t147 @t146 @t139)) % 0.62/0.89 (define @t150 () (or @t148 @t147 @t146)) % 0.62/0.89 (define @t151 () (or @t148 @t146 @t147 @t139)) % 0.62/0.89 (define @t152 () (forall @t68 @t149)) % 0.62/0.89 (define @t153 () (forall @t68 @t151)) % 0.62/0.89 (define @t154 () (@var "BOUND_VARIABLE_9744" $$unsorted)) % 0.62/0.89 (define @t155 () (@var "BOUND_VARIABLE_9745" $$unsorted)) % 0.62/0.89 (define @t156 () (@var "BOUND_VARIABLE_9743" $$unsorted)) % 0.62/0.89 (define @t157 () (@list @t156 @t154 @t155)) % 0.62/0.89 (define @t158 () (@var "BOUND_VARIABLE_8761" $$unsorted)) % 0.62/0.89 (define @t159 () (@var "BOUND_VARIABLE_8759" $$unsorted)) % 0.62/0.89 (define @t160 () (forall (@list @t64 @t159 @t158) (or @t148 (not (tptp.nat_succeeds @t158)) (not (|tptp.'@=<_succeeds'| @t159 @t158)) (|tptp.'@=<_succeeds'| (|tptp.'@*'| @t64 @t159) (|tptp.'@*'| @t64 @t158))))) % 0.62/0.89 (define @t161 () (not @t160)) % 0.62/0.89 (define @t162 () (@list true)) % 0.62/0.89 (define @t163 () (@quantifiers_skolemize @t160 2)) % 0.62/0.89 (define @t164 () (@quantifiers_skolemize @t160 0)) % 0.62/0.89 (define @t165 () (@quantifiers_skolemize @t160 1)) % 0.62/0.89 (define @t166 () (|tptp.'@*'| @t164 @t165)) % 0.62/0.89 (define @t167 () (|tptp.'@=<_succeeds'| @t166 (|tptp.'@*'| @t164 @t163))) % 0.62/0.89 (define @t168 () (|tptp.'@=<_succeeds'| @t165 @t163)) % 0.62/0.89 (define @t169 () (not @t168)) % 0.62/0.89 (define @t170 () (tptp.nat_succeeds @t163)) % 0.62/0.89 (define @t171 () (not @t170)) % 0.62/0.89 (define @t172 () (tptp.nat_succeeds @t164)) % 0.62/0.89 (define @t173 () (not @t172)) % 0.62/0.89 (define @t174 () (or @t173 @t171 @t169 @t167)) % 0.62/0.89 (define @t175 () (@list @t174)) % 0.62/0.89 (define @t176 () (= @t63 @t93)) % 0.62/0.89 (define @t177 () (not (forall @t79 (not @t176)))) % 0.62/0.89 (define @t178 () (@list @t165 @t163)) % 0.62/0.89 (define @t179 () (forall @t79 (not (= @t163 (|tptp.'@+'| @t165 @t62))))) % 0.62/0.89 (define @t180 () (not @t179)) % 0.62/0.89 (define @t181 () (or @t169 @t180)) % 0.62/0.89 (define @t182 () (@list false false)) % 0.62/0.89 (define @t183 () (@quantifiers_skolemize @t179 0)) % 0.62/0.89 (define @t184 () (|tptp.'@+'| @t165 @t183)) % 0.62/0.89 (define @t185 () (= @t163 @t184)) % 0.62/0.89 (define @t186 () (not (not @t185))) % 0.62/0.89 (define @t187 () (|tptp.'@*'| @t164 @t184)) % 0.62/0.89 (define @t188 () (not @t71)) % 0.62/0.89 (define @t189 () (or @t148 @t188 @t146)) % 0.62/0.89 (define @t190 () (not @t123)) % 0.62/0.89 (define @t191 () (|tptp.'@=<_succeeds'| @t163 @t163)) % 0.62/0.89 (define @t192 () (or @t171 @t191)) % 0.62/0.89 (define @t193 () (|tptp.'@=<_succeeds'| @t184 @t184)) % 0.62/0.89 (define @t194 () (tptp.nat_succeeds @t165)) % 0.62/0.89 (define @t195 () (or @t169 @t194)) % 0.62/0.89 (define @t196 () (|tptp.'@=<_succeeds'| @t183 @t183)) % 0.62/0.89 (define @t197 () (not @t193)) % 0.62/0.89 (define @t198 () (not @t194)) % 0.62/0.89 (define @t199 () (or @t198 @t197 @t196)) % 0.62/0.89 (define @t200 () (@list false false false)) % 0.62/0.89 (define @t201 () (tptp.nat_succeeds @t183)) % 0.62/0.89 (define @t202 () (not @t196)) % 0.62/0.89 (define @t203 () (or @t202 @t201)) % 0.62/0.89 (define @t204 () (|tptp.'@*'| @t164 @t183)) % 0.62/0.89 (define @t205 () (|tptp.'@+'| @t166 @t204)) % 0.62/0.89 (define @t206 () (= @t187 @t205)) % 0.62/0.89 (define @t207 () (not @t201)) % 0.62/0.89 (define @t208 () (or @t198 @t207 @t173 @t206)) % 0.62/0.89 (define @t209 () (|tptp.'@=<_succeeds'| @t166 @t205)) % 0.62/0.89 (define @t210 () (tptp.nat_succeeds @t166)) % 0.62/0.89 (define @t211 () (or @t173 @t198 @t210)) % 0.62/0.89 (define @t212 () (not @t210)) % 0.62/0.89 (define @t213 () (or @t212 @t209)) % 0.62/0.89 (assume @p1 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 0.62/0.89 (assume @p2 (forall @t7 (=> (= @t6 @t5) (= @t4 @t3)))) % 0.62/0.89 (assume @p3 (tptp.gr |tptp.'0'|)) % 0.62/0.89 (assume @p4 (forall (@list @t8) (= (tptp.gr @t8) (tptp.gr (tptp.s @t8))))) % 0.62/0.89 (assume @p5 (forall @t14 (not (and @t13 @t12)))) % 0.62/0.89 (assume @p6 (forall @t14 (=> (tptp.times_terminates @t11 @t10 @t9) (or @t13 @t12)))) % 0.62/0.89 (assume @p7 (forall @t20 (not (and @t19 @t18)))) % 0.62/0.89 (assume @p8 (forall @t20 (=> (tptp.plus_terminates @t17 @t16 @t15) (or @t19 @t18)))) % 0.62/0.89 (assume @p9 (forall @t25 (not (and @t24 @t23)))) % 0.62/0.89 (assume @p10 (forall @t25 (=> (|tptp.'@=<_terminates'| @t22 @t21) (or @t24 @t23)))) % 0.62/0.89 (assume @p11 (forall @t30 (not (and @t29 @t28)))) % 0.62/0.89 (assume @p12 (forall @t30 (=> (|tptp.'@<_terminates'| @t27 @t26) (or @t29 @t28)))) % 0.62/0.89 (assume @p13 (forall @t34 (not (and @t33 @t32)))) % 0.62/0.89 (assume @p14 (forall @t34 (=> (tptp.nat_terminates @t31) (or @t33 @t32)))) % 0.62/0.89 (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))))) % 0.62/0.89 (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)))))) % 0.62/0.89 (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)))) % 0.62/0.89 (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))))) % 0.62/0.89 (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)))))) % 0.62/0.89 (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)))) % 0.62/0.89 (assume @p21 (forall @t51 (= (|tptp.'@=<_succeeds'| @t36 @t38) (or (exists @t50 (and @t49 @t48 (|tptp.'@=<_succeeds'| @t1 @t4))) @t37)))) % 0.62/0.89 (assume @p22 (forall @t51 (= (|tptp.'@=<_fails'| @t36 @t38) (and (forall @t50 (or @t53 @t52 (|tptp.'@=<_fails'| @t1 @t4))) @t41)))) % 0.62/0.89 (assume @p23 (forall @t51 (= (|tptp.'@=<_terminates'| @t36 @t38) (and (forall @t50 (and true (or @t53 (and true (or @t52 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 0.62/0.89 (assume @p24 (forall @t51 (= (|tptp.'@<_succeeds'| @t36 @t38) (or (exists @t50 (and @t49 @t48 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t55 (and @t37 @t54)))))) % 0.62/0.89 (assume @p25 (forall @t51 (= (|tptp.'@<_fails'| @t36 @t38) (and (forall @t50 (or @t53 @t52 (|tptp.'@<_fails'| @t1 @t4))) (forall @t55 (or @t41 (not @t54))))))) % 0.62/0.89 (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)))))) % 0.62/0.89 (assume @p27 (forall @t60 (= (tptp.nat_succeeds @t36) (or (exists @t59 (and @t58 @t56)) @t37)))) % 0.62/0.89 (assume @p28 (forall @t60 (= (tptp.nat_fails @t36) (and (forall @t59 (or @t61 (tptp.nat_fails @t38))) @t41)))) % 0.62/0.89 (assume @p29 (forall @t60 (= (tptp.nat_terminates @t36) (and (forall @t59 (and true (or @t61 (tptp.nat_terminates @t38)))) true)))) % 0.62/0.89 (assume @p30 (forall @t68 (=> @t67 (= (= @t66 @t62) @t65)))) % 0.62/0.89 (assume @p31 (forall @t68 (=> @t72 (= (= @t70 @t62) @t69)))) % 0.62/0.89 (assume @p32 (forall @t73 (=> @t67 (tptp.nat_terminates @t64)))) % 0.62/0.89 (assume @p33 (forall @t73 (=> @t67 @t74))) % 0.62/0.89 (assume @p34 (forall @t68 (=> @t67 @t75))) % 0.62/0.89 (assume @p35 (forall @t68 (=> @t76 @t75))) % 0.62/0.89 (assume @p36 (forall @t68 (=> @t65 @t67))) % 0.62/0.89 (assume @p37 (forall @t68 (=> (and @t65 @t71) @t76))) % 0.62/0.89 (assume @p38 (forall @t68 (=> (and @t65 @t76) @t71))) % 0.62/0.89 (assume @p39 (forall @t68 (=> @t65 @t75))) % 0.62/0.89 (assume @p40 (forall @t68 (=> @t65 @t74))) % 0.62/0.89 (assume @p41 (forall @t68 (=> (and @t65 @t78) @t77))) % 0.62/0.89 (assume @p42 (forall @t68 (=> (and @t65 @t77) @t78))) % 0.62/0.89 (assume @p43 (forall @t80 (=> @t67 (exists @t79 @t65)))) % 0.62/0.89 (assume @p44 (forall @t84 (=> (and (tptp.plus_succeeds @t64 @t63 @t82) (tptp.plus_succeeds @t64 @t63 @t81)) @t83))) % 0.62/0.89 (assume @p45 (forall @t85 (= (|tptp.'@+'| |tptp.'0'| @t63) @t63))) % 0.62/0.89 (assume @p46 (forall @t80 (=> @t67 (= @t87 (tptp.s @t66))))) % 0.62/0.89 (assume @p47 (forall @t80 (=> @t72 (tptp.nat_succeeds @t66)))) % 0.62/0.89 (assume @p48 (forall @t68 (=> @t89 (= (|tptp.'@+'| @t66 @t62) (|tptp.'@+'| @t64 @t88))))) % 0.62/0.89 (assume @p49 (forall @t73 (=> @t67 (= (|tptp.'@+'| @t64 |tptp.'0'|) @t64)))) % 0.62/0.89 (assume @p50 (forall @t80 (=> @t72 (= @t91 @t87)))) % 0.62/0.89 (assume @p51 (forall @t80 (=> @t72 (= @t66 @t92)))) % 0.62/0.89 (assume @p52 (forall @t68 (=> (and @t67 (= @t66 @t93)) (= @t63 @t62)))) % 0.62/0.89 (assume @p53 (forall @t68 (=> @t69 @t67))) % 0.62/0.89 (assume @p54 (forall @t68 (=> (and @t69 @t71) @t76))) % 0.62/0.89 (assume @p55 (forall @t68 (=> @t69 @t74))) % 0.62/0.89 (assume @p56 (forall @t68 (=> (and @t69 @t78) @t77))) % 0.62/0.89 (assume @p57 (forall @t68 (=> @t72 (tptp.times_terminates @t64 @t63 @t62)))) % 0.62/0.89 (assume @p58 (forall @t80 (=> @t72 (exists @t79 @t69)))) % 0.62/0.89 (assume @p59 (forall @t84 (=> (and (tptp.times_succeeds @t64 @t63 @t82) (tptp.times_succeeds @t64 @t63 @t81)) @t83))) % 0.62/0.89 (assume @p60 (forall @t85 (=> @t71 (= (|tptp.'@*'| |tptp.'0'| @t63) |tptp.'0'|)))) % 0.62/0.89 (assume @p61 (forall @t80 (=> @t72 (= (|tptp.'@*'| @t86 @t63) (|tptp.'@+'| @t63 @t70))))) % 0.62/0.89 (assume @p62 @t95) % 0.62/0.89 (assume @p63 (forall @t68 (=> @t89 (= (|tptp.'@*'| @t66 @t62) (|tptp.'@+'| @t97 @t96))))) % 0.62/0.89 (assume @p64 (forall @t68 (=> @t89 (= (|tptp.'@*'| @t70 @t62) (|tptp.'@*'| @t64 @t96))))) % 0.62/0.89 (assume @p65 (forall @t73 (=> @t67 (= (|tptp.'@*'| @t64 |tptp.'0'|) |tptp.'0'|)))) % 0.62/0.89 (assume @p66 (forall (@list @t63 @t64) (=> (and @t71 @t67) (= (|tptp.'@+'| @t98 @t63) (|tptp.'@*'| @t63 @t86))))) % 0.62/0.89 (assume @p67 (forall @t80 (=> @t72 (= @t70 @t98)))) % 0.62/0.89 (assume @p68 (forall @t73 (=> @t67 (= (|tptp.'@*'| @t99 @t64) @t64)))) % 0.62/0.89 (assume @p69 (forall @t73 (=> @t67 (= (|tptp.'@*'| @t64 @t99) @t64)))) % 0.62/0.89 (assume @p70 @t101) % 0.62/0.89 (assume @p71 (forall @t80 (=> @t67 @t102))) % 0.62/0.89 (assume @p72 (forall @t80 (=> @t71 @t102))) % 0.62/0.89 (assume @p73 (forall @t80 (=> @t103 @t67))) % 0.62/0.89 (assume @p74 (forall @t80 (=> @t103 (exists @t79 (= @t63 @t104))))) % 0.62/0.89 (assume @p75 (forall @t68 (=> (and @t103 (|tptp.'@<_succeeds'| @t63 @t104)) @t105))) % 0.62/0.89 (assume @p76 (forall @t80 (=> @t103 @t106))) % 0.62/0.89 (assume @p77 (forall @t68 (=> (and @t103 @t107) @t105))) % 0.62/0.89 (assume @p78 (forall @t73 (=> @t67 (|tptp.'@<_fails'| @t64 @t64)))) % 0.62/0.89 (assume @p79 (forall @t73 (=> @t67 (not (|tptp.'@<_succeeds'| @t64 @t64))))) % 0.62/0.89 (assume @p80 (forall @t73 (=> @t67 (|tptp.'@<_succeeds'| @t64 @t86)))) % 0.62/0.89 (assume @p81 (forall @t80 (=> (and @t71 @t106) @t109))) % 0.62/0.89 (assume @p82 (forall @t80 (=> @t72 (or @t103 @t108 (|tptp.'@<_succeeds'| @t63 @t64))))) % 0.62/0.89 (assume @p83 (forall @t73 (=> (and @t67 (not @t110)) (|tptp.'@<_succeeds'| |tptp.'0'| @t64)))) % 0.62/0.89 (assume @p84 (forall @t80 (=> @t67 @t111))) % 0.62/0.89 (assume @p85 (forall @t80 (=> @t71 @t111))) % 0.62/0.89 (assume @p86 @t113) % 0.62/0.89 (assume @p87 (forall @t80 (=> @t112 (exists @t79 (tptp.plus_succeeds @t64 @t62 @t63))))) % 0.62/0.89 (assume @p88 @t116) % 0.62/0.89 (assume @p89 (forall @t80 (=> @t103 (exists @t79 (tptp.plus_succeeds @t64 @t104 @t63))))) % 0.62/0.89 (assume @p90 (forall @t80 (=> @t103 (exists @t79 (= (|tptp.'@+'| @t64 @t104) @t63))))) % 0.62/0.89 (assume @p91 (forall @t80 (=> @t103 @t112))) % 0.62/0.89 (assume @p92 @t118) % 0.62/0.89 (assume @p93 (forall @t80 (=> @t72 (or @t112 @t119)))) % 0.62/0.89 (assume @p94 (forall @t80 (=> @t72 (or @t103 @t119)))) % 0.62/0.89 (assume @p95 (forall @t80 (=> (and @t67 @t71 (|tptp.'@=<_fails'| @t64 @t63)) @t119))) % 0.62/0.89 (assume @p96 (forall @t80 (=> (and @t112 @t71) @t109))) % 0.62/0.89 (assume @p97 (forall @t68 (=> (and @t112 @t107) @t105))) % 0.62/0.89 (assume @p98 (forall @t68 (=> (and @t103 @t120) @t105))) % 0.62/0.89 (assume @p99 (forall @t68 (=> (and @t112 @t120) (|tptp.'@=<_succeeds'| @t64 @t62)))) % 0.62/0.89 (assume @p100 (forall @t80 (=> (and @t112 @t119) @t108))) % 0.62/0.89 (assume @p101 (forall @t73 (=> @t67 (|tptp.'@=<_succeeds'| @t64 @t86)))) % 0.62/0.89 (assume @p102 (forall @t73 (=> @t67 (|tptp.'@=<_fails'| @t86 @t64)))) % 0.62/0.89 (assume @p103 (forall @t68 (=> (and @t67 @t107) @t121))) % 0.62/0.89 (assume @p104 (forall @t80 (=> @t67 (|tptp.'@<_succeeds'| @t64 @t91)))) % 0.62/0.89 (assume @p105 (forall @t68 (=> (and @t103 @t71 @t76) @t122))) % 0.62/0.89 (assume @p106 (forall @t80 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t63) @t67 @t71) (|tptp.'@<_succeeds'| @t64 @t92)))) % 0.62/0.89 (assume @p107 (forall @t68 (=> (and @t67 @t120) @t123))) % 0.62/0.89 (assume @p108 (forall @t68 (=> (and @t112 @t71 @t76) (|tptp.'@=<_succeeds'| @t93 @t88)))) % 0.62/0.89 (assume @p109 @t125) % 0.62/0.89 (assume @p110 (forall @t80 (=> @t72 (|tptp.'@=<_succeeds'| @t63 @t66)))) % 0.62/0.89 (assume @p111 (forall @t68 (=> (and @t67 @t121) @t107))) % 0.62/0.89 (assume @p112 (forall @t68 (=> (and @t67 @t71 @t76 @t122) @t103))) % 0.62/0.89 (assume @p113 @t127) % 0.62/0.89 (assume @p114 (forall @t135 (=> (and @t134 @t133 @t132) (|tptp.'@=<_succeeds'| @t131 @t130)))) % 0.62/0.89 (assume @p115 (forall @t135 (=> (and @t137 @t133 @t132) @t136))) % 0.62/0.89 (assume @p116 (forall @t135 (=> (and @t134 @t138 @t132) @t136))) % 0.62/0.89 (assume @p117 (forall @t135 (=> (and @t137 @t138 @t132) @t136))) % 0.62/0.89 (assume @p118 (=> (forall @t73 (=> (or (exists @t59 (and (= @t64 @t57) @t56 (forall @t141 (=> @t140 (|tptp.'@=<_succeeds'| (|tptp.'@*'| @t38 @t63) (|tptp.'@*'| @t38 @t62)))))) @t110) @t142)) (forall @t73 (=> @t67 @t142)))) % 0.62/0.89 (assume @p119 @t145) % 0.62/0.89 (assume @p120 true) % 0.62/0.89 (step @p121 :rule evaluate :args ((= true false))) % 0.62/0.89 (step @p122 :rule aci_norm :args ((= (or @t150 @t139) @t149))) % 0.62/0.89 (step @p123 :rule refl :args (@t139)) % 0.62/0.89 (step @p124 :rule aci_norm :args ((= (or @t148 (or @t147 @t146)) @t150))) % 0.62/0.89 (step @p125 :rule bool-and-de-morgan :args (@t120 @t76 true)) % 0.62/0.89 (step @p126 :rule refl :args (@t148)) % 0.62/0.89 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t148 (not (and @t120 @t76))))) % 0.62/0.89 (step @p128 :rule bool-and-de-morgan :args (@t67 @t120 (and @t76))) % 0.62/0.89 (step @p129 :rule trans :premises (@p128 @p127)) % 0.62/0.89 (step @p130 :rule trans :premises (@p129 @p124)) % 0.62/0.89 (step @p131 :rule nary_cong :premises (@p130 @p123) :args ((or (not @t143) @t139))) % 0.62/0.89 (step @p132 :rule trans :premises (@p131 @p122)) % 0.62/0.89 (step @p133 :rule bool-impl-elim :args (@t143 @t139)) % 0.62/0.89 (step @p134 :rule trans :premises (@p133 @p132)) % 0.62/0.89 (step @p135 :rule cong :premises (@p134) :args (@t144)) % 0.62/0.89 (step @p136 :rule cong :premises (@p135) :args (@t145)) % 0.62/0.89 (step @p137 :rule eq_resolve :premises (@p119 @p136)) % 0.62/0.89 (step @p138 :rule aci_norm :args ((= @t149 @t151))) % 0.62/0.89 (step @p139 :rule cong :premises (@p138) :args (@t152)) % 0.62/0.89 (step @p140 :rule symm :premises (@p139)) % 0.62/0.89 (step @p141 :rule true_intro :premises (@p140)) % 0.62/0.89 (step @p142 :rule eq-symm :args (@t152 @t153)) % 0.62/0.89 (step @p143 :rule trans :premises (@p142 @p141)) % 0.62/0.89 (step @p144 :rule cong :premises (@p140 @p139) :args ((= @t153 @t152))) % 0.62/0.89 (step @p145 :rule trans :premises (@p144 @p143)) % 0.62/0.89 (step @p146 :rule true_elim :premises (@p145)) % 0.62/0.89 (step @p147 :rule alpha_equiv :args ((forall (@list @t155 @t156 @t154) (or (not (tptp.nat_succeeds @t155)) (not (tptp.nat_succeeds @t154)) (not (|tptp.'@=<_succeeds'| @t156 @t154)) (|tptp.'@=<_succeeds'| (|tptp.'@*'| @t155 @t156) (|tptp.'@*'| @t155 @t154)))) @t157 (@list @t63 @t62 @t64))) % 0.62/0.89 (step @p148 :rule alpha_equiv :args (@t160 (@list @t159 @t158 @t64) @t157)) % 0.62/0.89 (step @p149 :rule trans :premises (@p148 @p147 @p146)) % 0.62/0.89 (step @p150 :rule equiv_elim1 :premises (@p149)) % 0.62/0.89 (step @p151 :rule reordering :premises (@p150) :args ((or @t152 @t161))) % 0.62/0.89 (step @p152 :rule chain_m_resolution :premises (@p151 @p137) :args (@t161 @t162 (@list @t152))) % 0.62/0.89 (step @p153 :rule skolemize :premises (@p152)) % 0.62/0.89 (step @p154 :rule cnf_or_neg :args (@t174 3)) % 0.62/0.89 (step @p155 :rule chain_m_resolution :premises (@p154 @p153) :args ((not @t167) @t162 @t175)) % 0.62/0.89 (step @p156 :rule false_intro :premises (@p155)) % 0.62/0.89 (step @p157 :rule bool-impl-elim :args (@t112 @t177)) % 0.62/0.89 (step @p158 :rule cong :premises (@p157) :args ((forall @t80 (=> @t112 @t177)))) % 0.62/0.89 (step @p159 :rule exists-elim :args ((= (exists @t79 @t176) @t177))) % 0.62/0.89 (step @p160 :rule eq-symm :args (@t93 @t63)) % 0.62/0.89 (step @p161 :rule cong :premises (@p160) :args (@t114)) % 0.62/0.89 (step @p162 :rule trans :premises (@p161 @p159)) % 0.62/0.89 (step @p163 :rule refl :args (@t112)) % 0.62/0.89 (step @p164 :rule cong :premises (@p163 @p162) :args (@t115)) % 0.62/0.89 (step @p165 :rule cong :premises (@p164) :args (@t116)) % 0.62/0.89 (step @p166 :rule trans :premises (@p165 @p158)) % 0.62/0.89 (step @p167 :rule eq_resolve :premises (@p88 @p166)) % 0.62/0.89 (step @p168 :rule instantiate :premises (@p167) :args (@t178)) % 0.62/0.89 (step @p169 :rule bool-double-not-elim :args (@t168)) % 0.62/0.89 (step @p170 :rule refl :args (@t174)) % 0.62/0.89 (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or @t174 (not @t169)))) % 0.62/0.89 (step @p172 :rule cnf_or_neg :args (@t174 2)) % 0.62/0.89 (step @p173 :rule eq_resolve :premises (@p172 @p171)) % 0.62/0.89 (step @p174 :rule reordering :premises (@p173) :args ((or @t168 @t174))) % 0.62/0.89 (step @p175 :rule chain_m_resolution :premises (@p174 @p153) :args (@t168 @t162 @t175)) % 0.62/0.89 (step @p176 :rule cnf_or_pos :args (@t181)) % 0.62/0.89 (step @p177 :rule reordering :premises (@p176) :args ((or @t169 @t180 (not @t181)))) % 0.62/0.89 (step @p178 :rule chain_m_resolution :premises (@p177 @p175 @p168) :args (@t180 @t182 (@list @t168 @t181))) % 0.62/0.89 (step @p179 :rule refl :args (@t185)) % 0.62/0.89 (step @p180 :rule bool-double-not-elim :args (@t179)) % 0.62/0.89 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or (not @t180) @t185))) % 0.62/0.89 (step @p182 :rule bool-double-not-elim :args (@t185)) % 0.62/0.89 (step @p183 :rule refl :args (@t180)) % 0.62/0.89 (step @p184 :rule cong :premises (@p183 @p182) :args ((=> @t180 @t186))) % 0.62/0.89 (assume-push @p289 @t180) % 0.62/0.89 (step @p186 :rule skolemize :premises (@p178)) % 0.62/0.89 (step-pop @p290 :rule scope :premises (@p186)) % 0.62/0.89 (step @p187 :rule process_scope :premises (@p290) :args (@t186)) % 0.62/0.89 (step @p189 :rule eq_resolve :premises (@p187 @p184)) % 0.62/0.89 (step @p190 :rule implies_elim :premises (@p189)) % 0.62/0.89 (step @p191 :rule eq_resolve :premises (@p190 @p181)) % 0.62/0.89 (step @p192 :rule chain_m_resolution :premises (@p191 @p178) :args (@t185 @t162 (@list @t179))) % 0.62/0.89 (step @p193 :rule symm :premises (@p192)) % 0.62/0.89 (step @p194 :rule refl :args (@t164)) % 0.62/0.89 (step @p195 :rule cong :premises (@p194 @p193) :args (@t187)) % 0.62/0.89 (step @p196 :rule aci_norm :args ((= (or @t189 @t100) (or @t148 @t188 @t146 @t100)))) % 0.62/0.89 (step @p197 :rule refl :args (@t100)) % 0.62/0.89 (step @p198 :rule aci_norm :args ((= (or @t148 (or @t188 @t146)) @t189))) % 0.62/0.89 (step @p199 :rule bool-and-de-morgan :args (@t71 @t76 true)) % 0.62/0.89 (step @p200 :rule nary_cong :premises (@p126 @p199) :args ((or @t148 (not (and @t71 @t76))))) % 0.62/0.89 (step @p201 :rule bool-and-de-morgan :args (@t67 @t71 (and @t76))) % 0.62/0.89 (step @p202 :rule trans :premises (@p201 @p200)) % 0.62/0.89 (step @p203 :rule trans :premises (@p202 @p198)) % 0.62/0.89 (step @p204 :rule nary_cong :premises (@p203 @p197) :args ((or (not @t89) @t100))) % 0.62/0.89 (step @p205 :rule trans :premises (@p204 @p196)) % 0.62/0.89 (step @p206 :rule bool-impl-elim :args (@t89 @t100)) % 0.62/0.89 (step @p207 :rule trans :premises (@p206 @p205)) % 0.62/0.89 (step @p208 :rule cong :premises (@p207) :args (@t101)) % 0.62/0.89 (step @p209 :rule eq_resolve :premises (@p70 @p208)) % 0.62/0.89 (step @p210 :rule instantiate :premises (@p209) :args ((@list @t165 @t183 @t164))) % 0.62/0.89 (step @p211 :rule bool-impl-elim :args (@t112 @t67)) % 0.62/0.89 (step @p212 :rule cong :premises (@p211) :args (@t113)) % 0.62/0.89 (step @p213 :rule eq_resolve :premises (@p86 @p212)) % 0.62/0.89 (step @p214 :rule instantiate :premises (@p213) :args ((@list @t183 @t183))) % 0.62/0.89 (step @p215 :rule aci_norm :args ((= (or (or @t148 @t190) @t120) (or @t148 @t190 @t120)))) % 0.62/0.89 (step @p216 :rule refl :args (@t120)) % 0.62/0.89 (step @p217 :rule bool-and-de-morgan :args (@t67 @t123 true)) % 0.62/0.89 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or (not @t126) @t120))) % 0.62/0.89 (step @p219 :rule trans :premises (@p218 @p215)) % 0.62/0.89 (step @p220 :rule bool-impl-elim :args (@t126 @t120)) % 0.62/0.89 (step @p221 :rule trans :premises (@p220 @p219)) % 0.62/0.89 (step @p222 :rule cong :premises (@p221) :args (@t127)) % 0.62/0.89 (step @p223 :rule eq_resolve :premises (@p113 @p222)) % 0.62/0.89 (step @p224 :rule instantiate :premises (@p223) :args ((@list @t165 @t183 @t183))) % 0.62/0.89 (step @p225 :rule bool-impl-elim :args (@t67 @t117)) % 0.62/0.89 (step @p226 :rule cong :premises (@p225) :args (@t118)) % 0.62/0.89 (step @p227 :rule eq_resolve :premises (@p92 @p226)) % 0.62/0.89 (step @p228 :rule instantiate :premises (@p227) :args ((@list @t163))) % 0.62/0.89 (step @p229 :rule bool-double-not-elim :args (@t170)) % 0.62/0.89 (step @p230 :rule nary_cong :premises (@p170 @p229) :args ((or @t174 (not @t171)))) % 0.62/0.89 (step @p231 :rule cnf_or_neg :args (@t174 1)) % 0.62/0.89 (step @p232 :rule eq_resolve :premises (@p231 @p230)) % 0.62/0.89 (step @p233 :rule reordering :premises (@p232) :args ((or @t170 @t174))) % 0.62/0.89 (step @p234 :rule chain_m_resolution :premises (@p233 @p153) :args (@t170 @t162 @t175)) % 0.62/0.89 (step @p235 :rule cnf_or_pos :args (@t192)) % 0.62/0.89 (step @p236 :rule reordering :premises (@p235) :args ((or @t171 @t191 (not @t192)))) % 0.62/0.89 (step @p237 :rule chain_m_resolution :premises (@p236 @p234 @p228) :args (@t191 @t182 (@list @t170 @t192))) % 0.62/0.89 (step @p238 :rule true_intro :premises (@p237)) % 0.62/0.89 (step @p239 :rule cong :premises (@p193 @p193) :args (@t193)) % 0.62/0.89 (step @p240 :rule trans :premises (@p239 @p238)) % 0.62/0.89 (step @p241 :rule true_elim :premises (@p240)) % 0.62/0.89 (step @p242 :rule instantiate :premises (@p213) :args (@t178)) % 0.62/0.89 (step @p243 :rule cnf_or_pos :args (@t195)) % 0.62/0.89 (step @p244 :rule reordering :premises (@p243) :args ((or @t169 @t194 (not @t195)))) % 0.62/0.89 (step @p245 :rule chain_m_resolution :premises (@p244 @p175 @p242) :args (@t194 @t182 (@list @t168 @t195))) % 0.62/0.89 (step @p246 :rule cnf_or_pos :args (@t199)) % 0.62/0.89 (step @p247 :rule reordering :premises (@p246) :args ((or @t198 @t197 @t196 (not @t199)))) % 0.62/0.89 (step @p248 :rule chain_m_resolution :premises (@p247 @p245 @p241 @p224) :args (@t196 @t200 (@list @t194 @t193 @t199))) % 0.62/0.89 (step @p249 :rule cnf_or_pos :args (@t203)) % 0.62/0.89 (step @p250 :rule reordering :premises (@p249) :args ((or @t201 @t202 (not @t203)))) % 0.62/0.89 (step @p251 :rule chain_m_resolution :premises (@p250 @p248 @p214) :args (@t201 @t182 (@list @t196 @t203))) % 0.62/0.89 (step @p252 :rule bool-double-not-elim :args (@t172)) % 0.62/0.89 (step @p253 :rule nary_cong :premises (@p170 @p252) :args ((or @t174 (not @t173)))) % 0.62/0.89 (step @p254 :rule cnf_or_neg :args (@t174 0)) % 0.62/0.89 (step @p255 :rule eq_resolve :premises (@p254 @p253)) % 0.62/0.89 (step @p256 :rule reordering :premises (@p255) :args ((or @t172 @t174))) % 0.62/0.89 (step @p257 :rule chain_m_resolution :premises (@p256 @p153) :args (@t172 @t162 @t175)) % 0.62/0.89 (step @p258 :rule cnf_or_pos :args (@t208)) % 0.62/0.89 (step @p259 :rule reordering :premises (@p258) :args ((or @t173 @t198 @t207 @t206 (not @t208)))) % 0.62/0.89 (step @p260 :rule chain_m_resolution :premises (@p259 @p257 @p245 @p251 @p210) :args (@t206 (@list false false false false) (@list @t172 @t194 @t201 @t208))) % 0.62/0.89 (step @p261 :rule symm :premises (@p260)) % 0.62/0.89 (step @p262 :rule trans :premises (@p261 @p195)) % 0.62/0.89 (step @p263 :rule refl :args (@t166)) % 0.62/0.89 (step @p264 :rule cong :premises (@p263 @p262) :args (@t209)) % 0.62/0.89 (step @p265 :rule bool-impl-elim :args (@t67 @t124)) % 0.62/0.89 (step @p266 :rule cong :premises (@p265) :args (@t125)) % 0.62/0.89 (step @p267 :rule eq_resolve :premises (@p109 @p266)) % 0.62/0.89 (step @p268 :rule instantiate :premises (@p267) :args ((@list @t166 @t204))) % 0.62/0.89 (step @p269 :rule aci_norm :args ((= (or (or @t148 @t188) @t94) (or @t148 @t188 @t94)))) % 0.62/0.89 (step @p270 :rule refl :args (@t94)) % 0.62/0.89 (step @p271 :rule bool-and-de-morgan :args (@t67 @t71 true)) % 0.62/0.89 (step @p272 :rule nary_cong :premises (@p271 @p270) :args ((or (not @t72) @t94))) % 0.62/0.89 (step @p273 :rule trans :premises (@p272 @p269)) % 0.62/0.89 (step @p274 :rule bool-impl-elim :args (@t72 @t94)) % 0.62/0.89 (step @p275 :rule trans :premises (@p274 @p273)) % 0.62/0.89 (step @p276 :rule cong :premises (@p275) :args (@t95)) % 0.62/0.89 (step @p277 :rule eq_resolve :premises (@p62 @p276)) % 0.62/0.89 (step @p278 :rule instantiate :premises (@p277) :args ((@list @t164 @t165))) % 0.62/0.89 (step @p279 :rule cnf_or_pos :args (@t211)) % 0.62/0.89 (step @p280 :rule reordering :premises (@p279) :args ((or @t173 @t198 @t210 (not @t211)))) % 0.62/0.89 (step @p281 :rule chain_m_resolution :premises (@p280 @p257 @p245 @p278) :args (@t210 @t200 (@list @t172 @t194 @t211))) % 0.62/0.89 (step @p282 :rule cnf_or_pos :args (@t213)) % 0.62/0.89 (step @p283 :rule reordering :premises (@p282) :args ((or @t212 @t209 (not @t213)))) % 0.62/0.89 (step @p284 :rule chain_m_resolution :premises (@p283 @p281 @p268) :args (@t209 @t182 (@list @t210 @t213))) % 0.62/0.89 (step @p285 :rule true_intro :premises (@p284)) % 0.62/0.89 (step @p286 :rule symm :premises (@p285)) % 0.62/0.89 (step @p287 :rule trans :premises (@p286 @p264 @p156)) % 0.62/0.89 (step @p288 false :rule eq_resolve :premises (@p287 @p121)) % 0.62/0.89 ) % 0.62/0.89 % SZS output end Proof % 0.62/0.89 % cvc5 exiting %------------------------------------------------------------------------------