%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX047+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 : n014.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 7.52s 7.76s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX047+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 22:54:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 7.52/7.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 7.52/7.76 % SZS status Theorem % 7.52/7.76 % SZS output start Proof % 7.52/7.76 ( % 7.52/7.76 (declare-sort $$unsorted 0) % 7.52/7.76 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 7.52/7.76 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 7.52/7.76 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 7.52/7.76 (declare-const tptp.gr (-> $$unsorted Bool)) % 7.52/7.76 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.52/7.76 (declare-const |tptp.'0'| $$unsorted) % 7.52/7.76 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 7.52/7.76 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.52/7.76 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 7.52/7.76 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 7.52/7.76 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.52/7.76 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.52/7.76 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 7.52/7.76 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.52/7.76 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.52/7.76 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 7.52/7.76 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 7.52/7.76 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 7.52/7.76 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 7.52/7.76 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 7.52/7.76 (define @t1 () (@var "Xx3" $$unsorted)) % 7.52/7.76 (define @t2 () (tptp.s @t1)) % 7.52/7.76 (define @t3 () (@var "Xx5" $$unsorted)) % 7.52/7.76 (define @t4 () (@var "Xx4" $$unsorted)) % 7.52/7.76 (define @t5 () (tptp.s @t3)) % 7.52/7.76 (define @t6 () (tptp.s @t4)) % 7.52/7.76 (define @t7 () (@list @t4 @t3)) % 7.52/7.76 (define @t8 () (@var "Xx6" $$unsorted)) % 7.52/7.76 (define @t9 () (@var "Xx9" $$unsorted)) % 7.52/7.76 (define @t10 () (@var "Xx8" $$unsorted)) % 7.52/7.76 (define @t11 () (@var "Xx7" $$unsorted)) % 7.52/7.76 (define @t12 () (tptp.times_fails @t11 @t10 @t9)) % 7.52/7.76 (define @t13 () (tptp.times_succeeds @t11 @t10 @t9)) % 7.52/7.76 (define @t14 () (@list @t11 @t10 @t9)) % 7.52/7.76 (define @t15 () (@var "Xx12" $$unsorted)) % 7.52/7.76 (define @t16 () (@var "Xx11" $$unsorted)) % 7.52/7.76 (define @t17 () (@var "Xx10" $$unsorted)) % 7.52/7.76 (define @t18 () (tptp.plus_fails @t17 @t16 @t15)) % 7.52/7.76 (define @t19 () (tptp.plus_succeeds @t17 @t16 @t15)) % 7.52/7.76 (define @t20 () (@list @t17 @t16 @t15)) % 7.52/7.76 (define @t21 () (@var "Xx14" $$unsorted)) % 7.52/7.76 (define @t22 () (@var "Xx13" $$unsorted)) % 7.52/7.76 (define @t23 () (|tptp.'@=<_fails'| @t22 @t21)) % 7.52/7.76 (define @t24 () (|tptp.'@=<_succeeds'| @t22 @t21)) % 7.52/7.76 (define @t25 () (@list @t22 @t21)) % 7.52/7.76 (define @t26 () (@var "Xx16" $$unsorted)) % 7.52/7.76 (define @t27 () (@var "Xx15" $$unsorted)) % 7.52/7.76 (define @t28 () (|tptp.'@<_fails'| @t27 @t26)) % 7.52/7.76 (define @t29 () (|tptp.'@<_succeeds'| @t27 @t26)) % 7.52/7.76 (define @t30 () (@list @t27 @t26)) % 7.52/7.76 (define @t31 () (@var "Xx17" $$unsorted)) % 7.52/7.76 (define @t32 () (tptp.nat_fails @t31)) % 7.52/7.76 (define @t33 () (tptp.nat_succeeds @t31)) % 7.52/7.76 (define @t34 () (@list @t31)) % 7.52/7.76 (define @t35 () (= @t1 |tptp.'0'|)) % 7.52/7.76 (define @t36 () (@var "Xx1" $$unsorted)) % 7.52/7.76 (define @t37 () (= @t36 |tptp.'0'|)) % 7.52/7.76 (define @t38 () (@var "Xx2" $$unsorted)) % 7.52/7.76 (define @t39 () (= @t36 @t6)) % 7.52/7.76 (define @t40 () (@list @t36 @t38 @t1)) % 7.52/7.76 (define @t41 () (not @t37)) % 7.52/7.76 (define @t42 () (tptp.times_fails @t4 @t38 @t3)) % 7.52/7.76 (define @t43 () (not @t39)) % 7.52/7.76 (define @t44 () (or @t41 true)) % 7.52/7.76 (define @t45 () (= @t1 @t38)) % 7.52/7.76 (define @t46 () (= @t1 @t5)) % 7.52/7.76 (define @t47 () (not @t46)) % 7.52/7.76 (define @t48 () (= @t38 @t6)) % 7.52/7.76 (define @t49 () (= @t36 @t2)) % 7.52/7.76 (define @t50 () (@list @t1 @t4)) % 7.52/7.76 (define @t51 () (@list @t36 @t38)) % 7.52/7.76 (define @t52 () (not @t48)) % 7.52/7.76 (define @t53 () (not @t49)) % 7.52/7.76 (define @t54 () (= @t38 @t5)) % 7.52/7.76 (define @t55 () (@list @t3)) % 7.52/7.76 (define @t56 () (|tptp.'@<_succeeds'| @t1 @t4)) % 7.52/7.76 (define @t57 () (tptp.nat_succeeds @t38)) % 7.52/7.76 (define @t58 () (tptp.s @t38)) % 7.52/7.76 (define @t59 () (= @t36 @t58)) % 7.52/7.76 (define @t60 () (and @t59 @t57)) % 7.52/7.76 (define @t61 () (@list @t38)) % 7.52/7.76 (define @t62 () (exists @t61 @t60)) % 7.52/7.76 (define @t63 () (or @t62 @t37)) % 7.52/7.76 (define @t64 () (tptp.nat_succeeds @t36)) % 7.52/7.76 (define @t65 () (= @t64 @t63)) % 7.52/7.76 (define @t66 () (@list @t36)) % 7.52/7.76 (define @t67 () (forall @t66 @t65)) % 7.52/7.76 (define @t68 () (not @t59)) % 7.52/7.76 (define @t69 () (@var "Xz" $$unsorted)) % 7.52/7.76 (define @t70 () (@var "Xy" $$unsorted)) % 7.52/7.76 (define @t71 () (@var "Xx" $$unsorted)) % 7.52/7.76 (define @t72 () (tptp.plus_succeeds @t71 @t70 @t69)) % 7.52/7.76 (define @t73 () (|tptp.'@+'| @t71 @t70)) % 7.52/7.76 (define @t74 () (tptp.nat_succeeds @t71)) % 7.52/7.76 (define @t75 () (@list @t71 @t70 @t69)) % 7.52/7.76 (define @t76 () (tptp.times_succeeds @t71 @t70 @t69)) % 7.52/7.76 (define @t77 () (|tptp.'@*'| @t71 @t70)) % 7.52/7.76 (define @t78 () (tptp.nat_succeeds @t70)) % 7.52/7.76 (define @t79 () (and @t74 @t78)) % 7.52/7.76 (define @t80 () (@list @t71)) % 7.52/7.76 (define @t81 () (tptp.gr @t71)) % 7.52/7.76 (define @t82 () (tptp.plus_terminates @t71 @t70 @t69)) % 7.52/7.76 (define @t83 () (tptp.nat_succeeds @t69)) % 7.52/7.76 (define @t84 () (tptp.gr @t69)) % 7.52/7.76 (define @t85 () (tptp.gr @t70)) % 7.52/7.76 (define @t86 () (@list @t69)) % 7.52/7.76 (define @t87 () (@list @t71 @t70)) % 7.52/7.76 (define @t88 () (@var "Xz2" $$unsorted)) % 7.52/7.76 (define @t89 () (@var "Xz1" $$unsorted)) % 7.52/7.76 (define @t90 () (= @t89 @t88)) % 7.52/7.76 (define @t91 () (@list @t71 @t70 @t89 @t88)) % 7.52/7.76 (define @t92 () (@list @t70)) % 7.52/7.76 (define @t93 () (tptp.s @t71)) % 7.52/7.76 (define @t94 () (|tptp.'@+'| @t93 @t70)) % 7.52/7.76 (define @t95 () (|tptp.'@+'| @t70 @t69)) % 7.52/7.76 (define @t96 () (and @t74 @t78 @t83)) % 7.52/7.76 (define @t97 () (|tptp.'@+'| @t71 |tptp.'0'|)) % 7.52/7.76 (define @t98 () (=> @t74 (= @t97 @t71))) % 7.52/7.76 (define @t99 () (forall @t80 @t98)) % 7.52/7.76 (define @t100 () (tptp.s @t70)) % 7.52/7.76 (define @t101 () (|tptp.'@+'| @t71 @t100)) % 7.52/7.76 (define @t102 () (|tptp.'@+'| @t70 @t71)) % 7.52/7.76 (define @t103 () (= @t73 @t102)) % 7.52/7.76 (define @t104 () (forall @t87 (=> @t79 @t103))) % 7.52/7.76 (define @t105 () (|tptp.'@+'| @t71 @t69)) % 7.52/7.76 (define @t106 () (= (|tptp.'@*'| @t93 @t70) (|tptp.'@+'| @t70 @t77))) % 7.52/7.76 (define @t107 () (forall @t87 (=> @t79 @t106))) % 7.52/7.76 (define @t108 () (tptp.nat_succeeds @t77)) % 7.52/7.76 (define @t109 () (forall @t87 (=> @t79 @t108))) % 7.52/7.76 (define @t110 () (|tptp.'@*'| @t70 @t69)) % 7.52/7.76 (define @t111 () (|tptp.'@*'| @t71 @t69)) % 7.52/7.76 (define @t112 () (= (|tptp.'@*'| @t73 @t69) (|tptp.'@+'| @t111 @t110))) % 7.52/7.76 (define @t113 () (forall @t75 (=> @t96 @t112))) % 7.52/7.76 (define @t114 () (|tptp.'@*'| @t71 |tptp.'0'|)) % 7.52/7.76 (define @t115 () (=> @t74 (= @t114 |tptp.'0'|))) % 7.52/7.76 (define @t116 () (forall @t80 @t115)) % 7.52/7.76 (define @t117 () (|tptp.'@*'| @t70 @t71)) % 7.52/7.76 (define @t118 () (= @t77 @t117)) % 7.52/7.76 (define @t119 () (forall @t87 (=> @t79 @t118))) % 7.52/7.76 (define @t120 () (tptp.s |tptp.'0'|)) % 7.52/7.76 (define @t121 () (= (|tptp.'@*'| @t69 @t73) (|tptp.'@+'| (|tptp.'@*'| @t69 @t71) (|tptp.'@*'| @t69 @t70)))) % 7.52/7.76 (define @t122 () (forall @t75 (=> @t96 @t121))) % 7.52/7.76 (define @t123 () (|tptp.'@<_terminates'| @t71 @t70)) % 7.52/7.76 (define @t124 () (|tptp.'@<_succeeds'| @t71 @t70)) % 7.52/7.76 (define @t125 () (forall @t87 (=> @t124 @t74))) % 7.52/7.76 (define @t126 () (tptp.s @t69)) % 7.52/7.76 (define @t127 () (|tptp.'@<_succeeds'| @t71 @t69)) % 7.52/7.76 (define @t128 () (|tptp.'@<_succeeds'| @t71 @t100)) % 7.52/7.76 (define @t129 () (|tptp.'@<_succeeds'| @t70 @t69)) % 7.52/7.76 (define @t130 () (= @t71 @t70)) % 7.52/7.76 (define @t131 () (or @t124 @t130)) % 7.52/7.76 (define @t132 () (= @t71 |tptp.'0'|)) % 7.52/7.76 (define @t133 () (not @t132)) % 7.52/7.76 (define @t134 () (|tptp.'@=<_terminates'| @t71 @t70)) % 7.52/7.76 (define @t135 () (|tptp.'@=<_succeeds'| @t71 @t70)) % 7.52/7.76 (define @t136 () (exists @t86 (= @t105 @t70))) % 7.52/7.76 (define @t137 () (=> @t135 @t136)) % 7.52/7.76 (define @t138 () (forall @t87 @t137)) % 7.52/7.76 (define @t139 () (forall @t87 (=> @t124 @t135))) % 7.52/7.76 (define @t140 () (|tptp.'@=<_succeeds'| @t71 @t71)) % 7.52/7.76 (define @t141 () (forall @t80 (=> @t74 @t140))) % 7.52/7.76 (define @t142 () (|tptp.'@=<_succeeds'| @t70 @t71)) % 7.52/7.76 (define @t143 () (|tptp.'@=<_succeeds'| @t70 @t69)) % 7.52/7.76 (define @t144 () (|tptp.'@<_succeeds'| @t73 @t105)) % 7.52/7.76 (define @t145 () (|tptp.'@<_succeeds'| @t71 @t101)) % 7.52/7.76 (define @t146 () (forall @t87 (=> @t74 @t145))) % 7.52/7.76 (define @t147 () (|tptp.'@<_succeeds'| @t105 @t95)) % 7.52/7.76 (define @t148 () (|tptp.'@=<_succeeds'| @t73 @t105)) % 7.52/7.76 (define @t149 () (and @t135 @t78 @t83)) % 7.52/7.76 (define @t150 () (|tptp.'@=<_succeeds'| @t71 @t73)) % 7.52/7.76 (define @t151 () (forall @t87 (=> @t74 @t150))) % 7.52/7.76 (define @t152 () (and @t74 @t144)) % 7.52/7.76 (define @t153 () (forall @t75 (=> @t152 @t129))) % 7.52/7.76 (define @t154 () (@var "Xy2" $$unsorted)) % 7.52/7.76 (define @t155 () (@var "Xy1" $$unsorted)) % 7.52/7.76 (define @t156 () (|tptp.'@+'| @t155 @t154)) % 7.52/7.76 (define @t157 () (|tptp.'@+'| @t36 @t38)) % 7.52/7.76 (define @t158 () (tptp.nat_succeeds @t155)) % 7.52/7.76 (define @t159 () (|tptp.'@=<_succeeds'| @t38 @t154)) % 7.52/7.76 (define @t160 () (|tptp.'@=<_succeeds'| @t36 @t155)) % 7.52/7.76 (define @t161 () (@list @t36 @t38 @t155 @t154)) % 7.52/7.76 (define @t162 () (|tptp.'@<_succeeds'| @t157 @t156)) % 7.52/7.76 (define @t163 () (|tptp.'@<_succeeds'| @t36 @t155)) % 7.52/7.76 (define @t164 () (|tptp.'@<_succeeds'| @t38 @t154)) % 7.52/7.76 (define @t165 () (and @t160 @t164 @t158)) % 7.52/7.76 (define @t166 () (forall @t161 (=> @t165 @t162))) % 7.52/7.76 (define @t167 () (|tptp.'@<_succeeds'| @t77 @t111)) % 7.52/7.76 (define @t168 () (and @t83 @t129 @t133)) % 7.52/7.76 (define @t169 () (=> @t168 @t167)) % 7.52/7.76 (define @t170 () (@list @t70 @t69)) % 7.52/7.76 (define @t171 () (forall @t170 @t169)) % 7.52/7.76 (define @t172 () (=> @t74 @t171)) % 7.52/7.76 (define @t173 () (forall @t80 @t172)) % 7.52/7.76 (define @t174 () (|tptp.'@<_succeeds'| (|tptp.'@*'| @t38 @t70) (|tptp.'@*'| @t38 @t69))) % 7.52/7.76 (define @t175 () (not (= @t38 |tptp.'0'|))) % 7.52/7.76 (define @t176 () (and @t83 @t129 @t175)) % 7.52/7.76 (define @t177 () (=> @t176 @t174)) % 7.52/7.76 (define @t178 () (forall @t170 @t177)) % 7.52/7.76 (define @t179 () (and (= @t71 @t58) @t57 @t178)) % 7.52/7.76 (define @t180 () (exists @t61 @t179)) % 7.52/7.76 (define @t181 () (or @t180 @t132)) % 7.52/7.76 (define @t182 () (=> @t181 @t171)) % 7.52/7.76 (define @t183 () (forall @t80 @t182)) % 7.52/7.76 (define @t184 () (=> @t183 @t173)) % 7.52/7.76 (define @t185 () (and @t74 @t133 @t129 @t83)) % 7.52/7.76 (define @t186 () (=> @t185 @t167)) % 7.52/7.76 (define @t187 () (forall @t75 @t186)) % 7.52/7.76 (define @t188 () (not @t187)) % 7.52/7.76 (define @t189 () (= @t71 @t97)) % 7.52/7.76 (define @t190 () (@var "BOUND_VARIABLE_8774" $$unsorted)) % 7.52/7.76 (define @t191 () (@var "BOUND_VARIABLE_8772" $$unsorted)) % 7.52/7.76 (define @t192 () (|tptp.'@<_succeeds'| (|tptp.'@*'| @t71 @t191) (|tptp.'@*'| @t71 @t190))) % 7.52/7.76 (define @t193 () (not (|tptp.'@<_succeeds'| @t191 @t190))) % 7.52/7.76 (define @t194 () (not (tptp.nat_succeeds @t190))) % 7.52/7.76 (define @t195 () (= |tptp.'0'| @t71)) % 7.52/7.76 (define @t196 () (not @t195)) % 7.52/7.76 (define @t197 () (@var "BOUND_VARIABLE_8754" $$unsorted)) % 7.52/7.76 (define @t198 () (not @t129)) % 7.52/7.76 (define @t199 () (not @t83)) % 7.52/7.76 (define @t200 () (and (not (= |tptp.'0'| @t197)) (not (forall @t170 (or @t199 @t198 (|tptp.'@<_succeeds'| (|tptp.'@*'| @t197 @t70) (|tptp.'@*'| @t197 @t69))))))) % 7.52/7.76 (define @t201 () (not (tptp.nat_succeeds @t197))) % 7.52/7.76 (define @t202 () (tptp.s @t197)) % 7.52/7.76 (define @t203 () (@list @t71 @t197 @t191 @t190)) % 7.52/7.76 (define @t204 () (forall @t203 (or (and (or (not (= @t71 @t202)) @t201 @t200) @t196) @t195 @t194 @t193 @t192))) % 7.52/7.76 (define @t205 () (@quantifiers_skolemize @t204 1)) % 7.52/7.76 (define @t206 () (@list @t205)) % 7.52/7.76 (define @t207 () (not @t74)) % 7.52/7.76 (define @t208 () (or @t207 @t195 @t198 @t199 @t167)) % 7.52/7.76 (define @t209 () (not @t196)) % 7.52/7.76 (define @t210 () (or @t207 @t209 @t198 @t199)) % 7.52/7.76 (define @t211 () (and @t74 @t196 @t129 @t83)) % 7.52/7.76 (define @t212 () (or @t207 @t195 @t199 @t198 @t167)) % 7.52/7.76 (define @t213 () (forall @t75 @t208)) % 7.52/7.76 (define @t214 () (forall @t75 @t212)) % 7.52/7.76 (define @t215 () (@var "BOUND_VARIABLE_9802" $$unsorted)) % 7.52/7.76 (define @t216 () (@var "BOUND_VARIABLE_9800" $$unsorted)) % 7.52/7.76 (define @t217 () (@var "BOUND_VARIABLE_9801" $$unsorted)) % 7.52/7.76 (define @t218 () (@list @t216 @t217 @t215)) % 7.52/7.76 (define @t219 () (@var "BOUND_VARIABLE_8800" $$unsorted)) % 7.52/7.76 (define @t220 () (@var "BOUND_VARIABLE_8798" $$unsorted)) % 7.52/7.76 (define @t221 () (|tptp.'@<_succeeds'| (|tptp.'@*'| @t71 @t220) (|tptp.'@*'| @t71 @t219))) % 7.52/7.76 (define @t222 () (not (|tptp.'@<_succeeds'| @t220 @t219))) % 7.52/7.76 (define @t223 () (not (tptp.nat_succeeds @t219))) % 7.52/7.76 (define @t224 () (or @t207 @t195 @t223 @t222 @t221)) % 7.52/7.76 (define @t225 () (@list @t71 @t220 @t219)) % 7.52/7.76 (define @t226 () (forall @t225 @t224)) % 7.52/7.76 (define @t227 () (not @t226)) % 7.52/7.76 (define @t228 () (@list true)) % 7.52/7.76 (define @t229 () (or @t223 @t222 @t221)) % 7.52/7.76 (define @t230 () (or @t207 @t195 @t229)) % 7.52/7.76 (define @t231 () (forall @t225 @t230)) % 7.52/7.76 (define @t232 () (@list @t220 @t219)) % 7.52/7.76 (define @t233 () (forall @t232 @t230)) % 7.52/7.76 (define @t234 () (forall @t232 @t229)) % 7.52/7.76 (define @t235 () (@list @t70 @t69)) % 7.52/7.76 (define @t236 () (or @t207 @t195 @t234)) % 7.52/7.76 (define @t237 () (or @t199 @t198 @t167)) % 7.52/7.76 (define @t238 () (forall @t170 @t237)) % 7.52/7.76 (define @t239 () (or @t207 @t195 @t238)) % 7.52/7.76 (define @t240 () (or @t195 @t238)) % 7.52/7.76 (define @t241 () (or @t195 @t237)) % 7.52/7.76 (define @t242 () (or @t199 @t198 @t195 @t167)) % 7.52/7.76 (define @t243 () (or @t199 @t198 @t209)) % 7.52/7.76 (define @t244 () (and @t83 @t129 @t196)) % 7.52/7.76 (define @t245 () (not (= @t202 @t71))) % 7.52/7.76 (define @t246 () (or @t245 @t201 @t200)) % 7.52/7.76 (define @t247 () (and @t246 @t196)) % 7.52/7.76 (define @t248 () (or @t247 @t195 @t194 @t193 @t192)) % 7.52/7.76 (define @t249 () (or @t194 @t193 @t192)) % 7.52/7.76 (define @t250 () (or @t247 @t195 @t249)) % 7.52/7.76 (define @t251 () (forall @t203 @t250)) % 7.52/7.76 (define @t252 () (forall (@list @t197 @t191 @t190) @t250)) % 7.52/7.76 (define @t253 () (forall (@list @t191 @t190) @t249)) % 7.52/7.76 (define @t254 () (@list @t197)) % 7.52/7.76 (define @t255 () (forall @t254 @t196)) % 7.52/7.76 (define @t256 () (forall @t254 @t246)) % 7.52/7.76 (define @t257 () (and @t256 @t255)) % 7.52/7.76 (define @t258 () (forall @t254 @t247)) % 7.52/7.76 (define @t259 () (or @t258 @t195 @t253)) % 7.52/7.76 (define @t260 () (or @t199 @t198 @t174)) % 7.52/7.76 (define @t261 () (forall @t170 @t260)) % 7.52/7.76 (define @t262 () (= |tptp.'0'| @t38)) % 7.52/7.76 (define @t263 () (not @t262)) % 7.52/7.76 (define @t264 () (not @t57)) % 7.52/7.76 (define @t265 () (= @t58 @t71)) % 7.52/7.76 (define @t266 () (not @t265)) % 7.52/7.76 (define @t267 () (forall @t61 (or @t266 @t264 (and @t263 (not @t261))))) % 7.52/7.76 (define @t268 () (and @t267 @t196)) % 7.52/7.76 (define @t269 () (or @t268 @t195 @t238)) % 7.52/7.76 (define @t270 () (not @t267)) % 7.52/7.76 (define @t271 () (or @t270 @t195)) % 7.52/7.76 (define @t272 () (or @t262 @t261)) % 7.52/7.76 (define @t273 () (not @t272)) % 7.52/7.76 (define @t274 () (or @t266 @t264 @t273)) % 7.52/7.76 (define @t275 () (and @t265 @t57 @t272)) % 7.52/7.76 (define @t276 () (forall @t61 (not @t275))) % 7.52/7.76 (define @t277 () (not @t276)) % 7.52/7.76 (define @t278 () (or @t262 @t260)) % 7.52/7.76 (define @t279 () (or @t199 @t198 @t262 @t174)) % 7.52/7.76 (define @t280 () (not @t263)) % 7.52/7.76 (define @t281 () (or @t199 @t198 @t280)) % 7.52/7.76 (define @t282 () (and @t83 @t129 @t263)) % 7.52/7.76 (define @t283 () (not @t204)) % 7.52/7.76 (define @t284 () (@quantifiers_skolemize @t204 3)) % 7.52/7.76 (define @t285 () (@quantifiers_skolemize @t204 0)) % 7.52/7.76 (define @t286 () (@quantifiers_skolemize @t204 2)) % 7.52/7.76 (define @t287 () (|tptp.'@<_succeeds'| (|tptp.'@*'| @t285 @t286) (|tptp.'@*'| @t285 @t284))) % 7.52/7.76 (define @t288 () (|tptp.'@<_succeeds'| @t286 @t284)) % 7.52/7.76 (define @t289 () (not @t288)) % 7.52/7.76 (define @t290 () (tptp.nat_succeeds @t284)) % 7.52/7.76 (define @t291 () (not @t290)) % 7.52/7.76 (define @t292 () (= |tptp.'0'| @t285)) % 7.52/7.76 (define @t293 () (not @t292)) % 7.52/7.76 (define @t294 () (forall @t170 (or @t199 @t198 (|tptp.'@<_succeeds'| (|tptp.'@*'| @t205 @t70) (|tptp.'@*'| @t205 @t69))))) % 7.52/7.76 (define @t295 () (not @t294)) % 7.52/7.76 (define @t296 () (= |tptp.'0'| @t205)) % 7.52/7.76 (define @t297 () (not @t296)) % 7.52/7.76 (define @t298 () (and @t297 @t295)) % 7.52/7.76 (define @t299 () (tptp.nat_succeeds @t205)) % 7.52/7.76 (define @t300 () (not @t299)) % 7.52/7.76 (define @t301 () (tptp.s @t205)) % 7.52/7.76 (define @t302 () (= @t285 @t301)) % 7.52/7.76 (define @t303 () (not @t302)) % 7.52/7.76 (define @t304 () (or @t303 @t300 @t298)) % 7.52/7.76 (define @t305 () (and @t304 @t293)) % 7.52/7.76 (define @t306 () (or @t305 @t292 @t291 @t289 @t287)) % 7.52/7.76 (define @t307 () (@list @t306)) % 7.52/7.76 (define @t308 () (not @t304)) % 7.52/7.76 (define @t309 () (@list true true)) % 7.52/7.76 (define @t310 () (@list @t304)) % 7.52/7.76 (define @t311 () (|tptp.'@+'| @t205 |tptp.'0'|)) % 7.52/7.76 (define @t312 () (= @t205 @t311)) % 7.52/7.76 (define @t313 () (or @t300 @t312)) % 7.52/7.76 (define @t314 () (@list false false)) % 7.52/7.76 (define @t315 () (= |tptp.'0'| @t114)) % 7.52/7.76 (define @t316 () (|tptp.'@*'| @t284 |tptp.'0'|)) % 7.52/7.76 (define @t317 () (= |tptp.'0'| @t316)) % 7.52/7.76 (define @t318 () (or @t291 @t317)) % 7.52/7.76 (define @t319 () (@list @t286 @t284)) % 7.52/7.76 (define @t320 () (tptp.nat_succeeds @t286)) % 7.52/7.76 (define @t321 () (or @t289 @t320)) % 7.52/7.76 (define @t322 () (= |tptp.'0'| (|tptp.'@*'| @t286 |tptp.'0'|))) % 7.52/7.76 (define @t323 () (not @t320)) % 7.52/7.76 (define @t324 () (or @t323 @t322)) % 7.52/7.76 (define @t325 () (not @t78)) % 7.52/7.76 (define @t326 () (or @t207 @t325 @t118)) % 7.52/7.76 (define @t327 () (or @t207 @t325)) % 7.52/7.76 (define @t328 () (not @t79)) % 7.52/7.76 (define @t329 () (@list @t205 @t286)) % 7.52/7.76 (define @t330 () (|tptp.'@*'| @t286 @t205)) % 7.52/7.76 (define @t331 () (|tptp.'@*'| @t205 @t286)) % 7.52/7.76 (define @t332 () (= @t331 @t330)) % 7.52/7.76 (define @t333 () (or @t300 @t323 @t332)) % 7.52/7.76 (define @t334 () (@list false false false)) % 7.52/7.76 (define @t335 () (= @t70 @t105)) % 7.52/7.76 (define @t336 () (not (forall @t86 (not @t335)))) % 7.52/7.76 (define @t337 () (|tptp.'@=<_succeeds'| @t205 @t205)) % 7.52/7.76 (define @t338 () (or @t300 @t337)) % 7.52/7.76 (define @t339 () (forall @t86 (not (= @t205 (|tptp.'@+'| @t205 @t69))))) % 7.52/7.76 (define @t340 () (not @t339)) % 7.52/7.76 (define @t341 () (not @t337)) % 7.52/7.76 (define @t342 () (or @t341 @t340)) % 7.52/7.76 (define @t343 () (@quantifiers_skolemize @t339 0)) % 7.52/7.76 (define @t344 () (|tptp.'@+'| @t205 @t343)) % 7.52/7.76 (define @t345 () (= @t205 @t344)) % 7.52/7.76 (define @t346 () (not @t345)) % 7.52/7.76 (define @t347 () (not @t346)) % 7.52/7.76 (define @t348 () (or @t207 @t325 @t199)) % 7.52/7.76 (define @t349 () (not @t96)) % 7.52/7.76 (define @t350 () (forall @t61 (not @t60))) % 7.52/7.76 (define @t351 () (not @t350)) % 7.52/7.76 (define @t352 () (tptp.nat_succeeds |tptp.'0'|)) % 7.52/7.76 (define @t353 () (not (forall @t61 (or (not (= |tptp.'0'| @t58)) @t264)))) % 7.52/7.76 (define @t354 () (or @t353 (= |tptp.'0'| |tptp.'0'|))) % 7.52/7.76 (define @t355 () (= @t352 @t354)) % 7.52/7.76 (define @t356 () (forall @t66 (= @t64 (or (not (forall @t61 (or @t68 @t264))) (= |tptp.'0'| @t36))))) % 7.52/7.76 (define @t357 () (@list false)) % 7.52/7.76 (define @t358 () (|tptp.'@*'| |tptp.'0'| @t286)) % 7.52/7.76 (define @t359 () (|tptp.'@+'| @t331 @t358)) % 7.52/7.76 (define @t360 () (|tptp.'@*'| @t311 @t286)) % 7.52/7.76 (define @t361 () (= @t360 @t359)) % 7.52/7.76 (define @t362 () (not @t352)) % 7.52/7.76 (define @t363 () (or @t300 @t362 @t323 @t361)) % 7.52/7.76 (define @t364 () (@list false false false false)) % 7.52/7.76 (define @t365 () (|tptp.'@*'| @t286 @t343)) % 7.52/7.76 (define @t366 () (tptp.nat_succeeds @t331)) % 7.52/7.76 (define @t367 () (or @t300 @t323 @t366)) % 7.52/7.76 (define @t368 () (tptp.nat_succeeds @t330)) % 7.52/7.76 (define @t369 () (|tptp.'@+'| @t330 @t365)) % 7.52/7.76 (define @t370 () (|tptp.'@=<_succeeds'| @t330 @t369)) % 7.52/7.76 (define @t371 () (not @t368)) % 7.52/7.76 (define @t372 () (or @t371 @t370)) % 7.52/7.76 (define @t373 () (@quantifiers_skolemize (forall @t50 (or (not (= @t2 (@quantifiers_skolemize @t226 1))) (not (= @t6 (@quantifiers_skolemize @t226 2))) (not @t56))) 1)) % 7.52/7.76 (define @t374 () (tptp.s @t373)) % 7.52/7.76 (define @t375 () (not @t144)) % 7.52/7.76 (define @t376 () (|tptp.'@+'| @t205 @t374)) % 7.52/7.76 (define @t377 () (|tptp.'@<_succeeds'| @t205 @t376)) % 7.52/7.76 (define @t378 () (or @t300 @t377)) % 7.52/7.76 (define @t379 () (|tptp.'@<_succeeds'| @t344 @t376)) % 7.52/7.76 (define @t380 () (|tptp.'@<_succeeds'| @t343 @t374)) % 7.52/7.76 (define @t381 () (not @t379)) % 7.52/7.76 (define @t382 () (or @t300 @t381 @t380)) % 7.52/7.76 (define @t383 () (tptp.nat_succeeds @t343)) % 7.52/7.76 (define @t384 () (not @t380)) % 7.52/7.76 (define @t385 () (or @t384 @t383)) % 7.52/7.76 (define @t386 () (|tptp.'@*'| @t286 @t344)) % 7.52/7.76 (define @t387 () (= @t386 @t369)) % 7.52/7.76 (define @t388 () (not @t383)) % 7.52/7.76 (define @t389 () (or @t300 @t388 @t323 @t387)) % 7.52/7.76 (define @t390 () (not @t158)) % 7.52/7.76 (define @t391 () (not @t164)) % 7.52/7.76 (define @t392 () (not @t160)) % 7.52/7.76 (define @t393 () (or @t392 @t391 @t390)) % 7.52/7.76 (define @t394 () (|tptp.'@*'| @t284 @t205)) % 7.52/7.76 (define @t395 () (|tptp.'@*'| @t301 @t284)) % 7.52/7.76 (define @t396 () (|tptp.'@*'| @t205 @t284)) % 7.52/7.76 (define @t397 () (|tptp.'@+'| @t284 @t396)) % 7.52/7.76 (define @t398 () (= @t395 @t397)) % 7.52/7.76 (define @t399 () (or @t300 @t291 @t398)) % 7.52/7.76 (define @t400 () (or @t291 @t300 (= @t394 @t396))) % 7.52/7.76 (define @t401 () (forall @t87 @t326)) % 7.52/7.76 (define @t402 () (@list @t284 @t205)) % 7.52/7.76 (define @t403 () (= @t396 @t394)) % 7.52/7.76 (define @t404 () (or @t291 @t300 @t403)) % 7.52/7.76 (define @t405 () (|tptp.'@+'| @t284 @t394)) % 7.52/7.76 (define @t406 () (tptp.nat_succeeds @t394)) % 7.52/7.76 (define @t407 () (or @t291 @t300 @t406)) % 7.52/7.76 (define @t408 () (|tptp.'@+'| @t394 @t284)) % 7.52/7.76 (define @t409 () (= @t408 @t405)) % 7.52/7.76 (define @t410 () (not @t406)) % 7.52/7.76 (define @t411 () (or @t410 @t291 @t409)) % 7.52/7.76 (define @t412 () (|tptp.'@*'| @t301 @t286)) % 7.52/7.76 (define @t413 () (|tptp.'@+'| @t286 @t331)) % 7.52/7.76 (define @t414 () (= @t412 @t413)) % 7.52/7.76 (define @t415 () (or @t300 @t323 @t414)) % 7.52/7.76 (define @t416 () (= @t413 (|tptp.'@+'| @t331 @t286))) % 7.52/7.76 (define @t417 () (not @t366)) % 7.52/7.76 (define @t418 () (or @t323 @t417 @t416)) % 7.52/7.76 (define @t419 () (|tptp.'@+'| @t330 @t286)) % 7.52/7.76 (define @t420 () (|tptp.'@<_succeeds'| @t419 @t408)) % 7.52/7.76 (define @t421 () (|tptp.'@=<_succeeds'| @t330 @t394)) % 7.52/7.76 (define @t422 () (not @t421)) % 7.52/7.76 (define @t423 () (or @t422 @t289 @t410 @t420)) % 7.52/7.76 (define @t424 () (@list false false true false)) % 7.52/7.76 (define @t425 () (|tptp.'@<_succeeds'| @t413 @t397)) % 7.52/7.76 (define @t426 () (|tptp.'@=<_succeeds'| @t286 @t284)) % 7.52/7.76 (define @t427 () (or @t289 @t426)) % 7.52/7.76 (define @t428 () (|tptp.'@<_succeeds'| @t331 @t396)) % 7.52/7.76 (define @t429 () (not @t428)) % 7.52/7.76 (define @t430 () (not @t426)) % 7.52/7.76 (define @t431 () (or @t430 @t429 @t291 @t425)) % 7.52/7.76 (define @t432 () (or @t291 @t289 @t428)) % 7.52/7.76 (define @t433 () (not @t432)) % 7.52/7.76 (define @t434 () (not @t370)) % 7.52/7.76 (define @t435 () (not @t387)) % 7.52/7.76 (define @t436 () (not @t332)) % 7.52/7.76 (define @t437 () (not @t322)) % 7.52/7.76 (define @t438 () (not @t361)) % 7.52/7.76 (define @t439 () (not @t317)) % 7.52/7.76 (define @t440 () (not @t312)) % 7.52/7.76 (define @t441 () (|tptp.'@+'| @t330 @t358)) % 7.52/7.76 (define @t442 () (|tptp.'@+'| @t331 @t365)) % 7.52/7.76 (define @t443 () (and @t422 @t332 @t296 @t317 @t312 @t361 @t322 @t345 @t387 @t370)) % 7.52/7.76 (assume @p1 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 7.52/7.76 (assume @p2 (forall @t7 (=> (= @t6 @t5) (= @t4 @t3)))) % 7.52/7.76 (assume @p3 (tptp.gr |tptp.'0'|)) % 7.52/7.76 (assume @p4 (forall (@list @t8) (= (tptp.gr @t8) (tptp.gr (tptp.s @t8))))) % 7.52/7.76 (assume @p5 (forall @t14 (not (and @t13 @t12)))) % 7.52/7.76 (assume @p6 (forall @t14 (=> (tptp.times_terminates @t11 @t10 @t9) (or @t13 @t12)))) % 7.52/7.76 (assume @p7 (forall @t20 (not (and @t19 @t18)))) % 7.52/7.76 (assume @p8 (forall @t20 (=> (tptp.plus_terminates @t17 @t16 @t15) (or @t19 @t18)))) % 7.52/7.76 (assume @p9 (forall @t25 (not (and @t24 @t23)))) % 7.52/7.76 (assume @p10 (forall @t25 (=> (|tptp.'@=<_terminates'| @t22 @t21) (or @t24 @t23)))) % 7.52/7.76 (assume @p11 (forall @t30 (not (and @t29 @t28)))) % 7.52/7.76 (assume @p12 (forall @t30 (=> (|tptp.'@<_terminates'| @t27 @t26) (or @t29 @t28)))) % 7.52/7.76 (assume @p13 (forall @t34 (not (and @t33 @t32)))) % 7.52/7.76 (assume @p14 (forall @t34 (=> (tptp.nat_terminates @t31) (or @t33 @t32)))) % 7.52/7.76 (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))))) % 7.52/7.76 (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)))))) % 7.52/7.76 (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)))) % 7.52/7.76 (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))))) % 7.52/7.76 (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)))))) % 7.52/7.76 (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)))) % 7.52/7.76 (assume @p21 (forall @t51 (= (|tptp.'@=<_succeeds'| @t36 @t38) (or (exists @t50 (and @t49 @t48 (|tptp.'@=<_succeeds'| @t1 @t4))) @t37)))) % 7.52/7.76 (assume @p22 (forall @t51 (= (|tptp.'@=<_fails'| @t36 @t38) (and (forall @t50 (or @t53 @t52 (|tptp.'@=<_fails'| @t1 @t4))) @t41)))) % 7.52/7.76 (assume @p23 (forall @t51 (= (|tptp.'@=<_terminates'| @t36 @t38) (and (forall @t50 (and true (or @t53 (and true (or @t52 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 7.52/7.76 (assume @p24 (forall @t51 (= (|tptp.'@<_succeeds'| @t36 @t38) (or (exists @t50 (and @t49 @t48 @t56)) (exists @t55 (and @t37 @t54)))))) % 7.52/7.76 (assume @p25 (forall @t51 (= (|tptp.'@<_fails'| @t36 @t38) (and (forall @t50 (or @t53 @t52 (|tptp.'@<_fails'| @t1 @t4))) (forall @t55 (or @t41 (not @t54))))))) % 7.52/7.76 (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)))))) % 7.52/7.76 (assume @p27 @t67) % 7.52/7.76 (assume @p28 (forall @t66 (= (tptp.nat_fails @t36) (and (forall @t61 (or @t68 (tptp.nat_fails @t38))) @t41)))) % 7.52/7.76 (assume @p29 (forall @t66 (= (tptp.nat_terminates @t36) (and (forall @t61 (and true (or @t68 (tptp.nat_terminates @t38)))) true)))) % 7.52/7.76 (assume @p30 (forall @t75 (=> @t74 (= (= @t73 @t69) @t72)))) % 7.52/7.76 (assume @p31 (forall @t75 (=> @t79 (= (= @t77 @t69) @t76)))) % 7.52/7.76 (assume @p32 (forall @t80 (=> @t74 (tptp.nat_terminates @t71)))) % 7.52/7.76 (assume @p33 (forall @t80 (=> @t74 @t81))) % 7.52/7.76 (assume @p34 (forall @t75 (=> @t74 @t82))) % 7.52/7.76 (assume @p35 (forall @t75 (=> @t83 @t82))) % 7.52/7.76 (assume @p36 (forall @t75 (=> @t72 @t74))) % 7.52/7.76 (assume @p37 (forall @t75 (=> (and @t72 @t78) @t83))) % 7.52/7.76 (assume @p38 (forall @t75 (=> (and @t72 @t83) @t78))) % 7.52/7.76 (assume @p39 (forall @t75 (=> @t72 @t82))) % 7.52/7.76 (assume @p40 (forall @t75 (=> @t72 @t81))) % 7.52/7.76 (assume @p41 (forall @t75 (=> (and @t72 @t85) @t84))) % 7.52/7.76 (assume @p42 (forall @t75 (=> (and @t72 @t84) @t85))) % 7.52/7.76 (assume @p43 (forall @t87 (=> @t74 (exists @t86 @t72)))) % 7.52/7.76 (assume @p44 (forall @t91 (=> (and (tptp.plus_succeeds @t71 @t70 @t89) (tptp.plus_succeeds @t71 @t70 @t88)) @t90))) % 7.52/7.76 (assume @p45 (forall @t92 (= (|tptp.'@+'| |tptp.'0'| @t70) @t70))) % 7.52/7.76 (assume @p46 (forall @t87 (=> @t74 (= @t94 (tptp.s @t73))))) % 7.52/7.76 (assume @p47 (forall @t87 (=> @t79 (tptp.nat_succeeds @t73)))) % 7.52/7.76 (assume @p48 (forall @t75 (=> @t96 (= (|tptp.'@+'| @t73 @t69) (|tptp.'@+'| @t71 @t95))))) % 7.52/7.76 (assume @p49 @t99) % 7.52/7.76 (assume @p50 (forall @t87 (=> @t79 (= @t101 @t94)))) % 7.52/7.76 (assume @p51 @t104) % 7.52/7.76 (assume @p52 (forall @t75 (=> (and @t74 (= @t73 @t105)) (= @t70 @t69)))) % 7.52/7.76 (assume @p53 (forall @t75 (=> @t76 @t74))) % 7.52/7.76 (assume @p54 (forall @t75 (=> (and @t76 @t78) @t83))) % 7.52/7.76 (assume @p55 (forall @t75 (=> @t76 @t81))) % 7.52/7.76 (assume @p56 (forall @t75 (=> (and @t76 @t85) @t84))) % 7.52/7.76 (assume @p57 (forall @t75 (=> @t79 (tptp.times_terminates @t71 @t70 @t69)))) % 7.52/7.76 (assume @p58 (forall @t87 (=> @t79 (exists @t86 @t76)))) % 7.52/7.76 (assume @p59 (forall @t91 (=> (and (tptp.times_succeeds @t71 @t70 @t89) (tptp.times_succeeds @t71 @t70 @t88)) @t90))) % 7.52/7.76 (assume @p60 (forall @t92 (=> @t78 (= (|tptp.'@*'| |tptp.'0'| @t70) |tptp.'0'|)))) % 7.52/7.76 (assume @p61 @t107) % 7.52/7.76 (assume @p62 @t109) % 7.52/7.76 (assume @p63 @t113) % 7.52/7.76 (assume @p64 (forall @t75 (=> @t96 (= (|tptp.'@*'| @t77 @t69) (|tptp.'@*'| @t71 @t110))))) % 7.52/7.76 (assume @p65 @t116) % 7.52/7.76 (assume @p66 (forall (@list @t70 @t71) (=> (and @t78 @t74) (= (|tptp.'@+'| @t117 @t70) (|tptp.'@*'| @t70 @t93))))) % 7.52/7.76 (assume @p67 @t119) % 7.52/7.76 (assume @p68 (forall @t80 (=> @t74 (= (|tptp.'@*'| @t120 @t71) @t71)))) % 7.52/7.76 (assume @p69 (forall @t80 (=> @t74 (= (|tptp.'@*'| @t71 @t120) @t71)))) % 7.52/7.77 (assume @p70 @t122) % 7.52/7.77 (assume @p71 (forall @t87 (=> @t74 @t123))) % 7.52/7.77 (assume @p72 (forall @t87 (=> @t78 @t123))) % 7.52/7.77 (assume @p73 @t125) % 7.52/7.77 (assume @p74 (forall @t87 (=> @t124 (exists @t86 (= @t70 @t126))))) % 7.52/7.77 (assume @p75 (forall @t75 (=> (and @t124 (|tptp.'@<_succeeds'| @t70 @t126)) @t127))) % 7.52/7.77 (assume @p76 (forall @t87 (=> @t124 @t128))) % 7.52/7.77 (assume @p77 (forall @t75 (=> (and @t124 @t129) @t127))) % 7.52/7.77 (assume @p78 (forall @t80 (=> @t74 (|tptp.'@<_fails'| @t71 @t71)))) % 7.52/7.77 (assume @p79 (forall @t80 (=> @t74 (not (|tptp.'@<_succeeds'| @t71 @t71))))) % 7.52/7.77 (assume @p80 (forall @t80 (=> @t74 (|tptp.'@<_succeeds'| @t71 @t93)))) % 7.52/7.77 (assume @p81 (forall @t87 (=> (and @t78 @t128) @t131))) % 7.52/7.77 (assume @p82 (forall @t87 (=> @t79 (or @t124 @t130 (|tptp.'@<_succeeds'| @t70 @t71))))) % 7.52/7.77 (assume @p83 (forall @t80 (=> (and @t74 @t133) (|tptp.'@<_succeeds'| |tptp.'0'| @t71)))) % 7.52/7.77 (assume @p84 (forall @t87 (=> @t74 @t134))) % 7.52/7.77 (assume @p85 (forall @t87 (=> @t78 @t134))) % 7.52/7.77 (assume @p86 (forall @t87 (=> @t135 @t74))) % 7.52/7.77 (assume @p87 (forall @t87 (=> @t135 (exists @t86 (tptp.plus_succeeds @t71 @t69 @t70))))) % 7.52/7.77 (assume @p88 @t138) % 7.52/7.77 (assume @p89 (forall @t87 (=> @t124 (exists @t86 (tptp.plus_succeeds @t71 @t126 @t70))))) % 7.52/7.77 (assume @p90 (forall @t87 (=> @t124 (exists @t86 (= (|tptp.'@+'| @t71 @t126) @t70))))) % 7.52/7.77 (assume @p91 @t139) % 7.52/7.77 (assume @p92 @t141) % 7.52/7.77 (assume @p93 (forall @t87 (=> @t79 (or @t135 @t142)))) % 7.52/7.77 (assume @p94 (forall @t87 (=> @t79 (or @t124 @t142)))) % 7.52/7.77 (assume @p95 (forall @t87 (=> (and @t74 @t78 (|tptp.'@=<_fails'| @t71 @t70)) @t142))) % 7.52/7.77 (assume @p96 (forall @t87 (=> (and @t135 @t78) @t131))) % 7.52/7.77 (assume @p97 (forall @t75 (=> (and @t135 @t129) @t127))) % 7.52/7.77 (assume @p98 (forall @t75 (=> (and @t124 @t143) @t127))) % 7.52/7.77 (assume @p99 (forall @t75 (=> (and @t135 @t143) (|tptp.'@=<_succeeds'| @t71 @t69)))) % 7.52/7.77 (assume @p100 (forall @t87 (=> (and @t135 @t142) @t130))) % 7.52/7.77 (assume @p101 (forall @t80 (=> @t74 (|tptp.'@=<_succeeds'| @t71 @t93)))) % 7.52/7.77 (assume @p102 (forall @t80 (=> @t74 (|tptp.'@=<_fails'| @t93 @t71)))) % 7.52/7.77 (assume @p103 (forall @t75 (=> (and @t74 @t129) @t144))) % 7.52/7.77 (assume @p104 @t146) % 7.52/7.77 (assume @p105 (forall @t75 (=> (and @t124 @t78 @t83) @t147))) % 7.52/7.77 (assume @p106 (forall @t87 (=> (and (|tptp.'@<_succeeds'| |tptp.'0'| @t70) @t74 @t78) (|tptp.'@<_succeeds'| @t71 @t102)))) % 7.52/7.77 (assume @p107 (forall @t75 (=> (and @t74 @t143) @t148))) % 7.52/7.77 (assume @p108 (forall @t75 (=> @t149 (|tptp.'@=<_succeeds'| @t105 @t95)))) % 7.52/7.77 (assume @p109 @t151) % 7.52/7.77 (assume @p110 (forall @t87 (=> @t79 (|tptp.'@=<_succeeds'| @t70 @t73)))) % 7.52/7.77 (assume @p111 @t153) % 7.52/7.77 (assume @p112 (forall @t75 (=> (and @t74 @t78 @t83 @t147) @t124))) % 7.52/7.77 (assume @p113 (forall @t75 (=> (and @t74 @t148) @t143))) % 7.52/7.77 (assume @p114 (forall @t161 (=> (and @t160 @t159 @t158) (|tptp.'@=<_succeeds'| @t157 @t156)))) % 7.52/7.77 (assume @p115 (forall @t161 (=> (and @t163 @t159 @t158) @t162))) % 7.52/7.77 (assume @p116 @t166) % 7.52/7.77 (assume @p117 (forall @t161 (=> (and @t163 @t164 @t158) @t162))) % 7.52/7.77 (assume @p118 (forall @t75 (=> (and @t74 @t143 @t83) (|tptp.'@=<_succeeds'| @t77 @t111)))) % 7.52/7.77 (assume @p119 (forall @t75 (=> @t149 (|tptp.'@=<_succeeds'| @t111 @t110)))) % 7.52/7.77 (assume @p120 @t184) % 7.52/7.77 (assume @p121 @t188) % 7.52/7.77 (assume @p122 true) % 7.52/7.77 (step @p123 :rule bool-impl-elim :args (@t74 @t189)) % 7.52/7.77 (step @p124 :rule cong :premises (@p123) :args ((forall @t80 (=> @t74 @t189)))) % 7.52/7.77 (step @p125 :rule eq-symm :args (@t97 @t71)) % 7.52/7.77 (step @p126 :rule refl :args (@t74)) % 7.52/7.77 (step @p127 :rule cong :premises (@p126 @p125) :args (@t98)) % 7.52/7.77 (step @p128 :rule cong :premises (@p127) :args (@t99)) % 7.52/7.77 (step @p129 :rule trans :premises (@p128 @p124)) % 7.52/7.77 (step @p130 :rule eq_resolve :premises (@p49 @p129)) % 7.52/7.77 (step @p131 :rule instantiate :premises (@p130) :args (@t206)) % 7.52/7.77 (step @p132 :rule aci_norm :args ((= (or (or @t207 @t195 @t198 @t199) @t167) @t208))) % 7.52/7.77 (step @p133 :rule refl :args (@t167)) % 7.52/7.77 (step @p134 :rule refl :args (@t199)) % 7.52/7.77 (step @p135 :rule refl :args (@t198)) % 7.52/7.77 (step @p136 :rule bool-double-not-elim :args (@t195)) % 7.52/7.77 (step @p137 :rule refl :args (@t207)) % 7.52/7.77 (step @p138 :rule nary_cong :premises (@p137 @p136 @p135 @p134) :args (@t210)) % 7.52/7.77 (step @p139 :rule aci_norm :args ((= (or @t207 (or @t209 (or @t198 @t199))) @t210))) % 7.52/7.77 (step @p140 :rule trans :premises (@p139 @p138)) % 7.52/7.77 (step @p141 :rule bool-and-de-morgan :args (@t129 @t83 true)) % 7.52/7.77 (step @p142 :rule refl :args (@t209)) % 7.52/7.77 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t209 (not (and @t129 @t83))))) % 7.52/7.77 (step @p144 :rule bool-and-de-morgan :args (@t196 @t129 (and @t83))) % 7.52/7.77 (step @p145 :rule trans :premises (@p144 @p143)) % 7.52/7.77 (step @p146 :rule nary_cong :premises (@p137 @p145) :args ((or @t207 (not (and @t196 @t129 @t83))))) % 7.52/7.77 (step @p147 :rule bool-and-de-morgan :args (@t74 @t196 (and @t129 @t83))) % 7.52/7.77 (step @p148 :rule trans :premises (@p147 @p146)) % 7.52/7.77 (step @p149 :rule trans :premises (@p148 @p140)) % 7.52/7.77 (step @p150 :rule nary_cong :premises (@p149 @p133) :args ((or (not @t211) @t167))) % 7.52/7.77 (step @p151 :rule trans :premises (@p150 @p132)) % 7.52/7.77 (step @p152 :rule bool-impl-elim :args (@t211 @t167)) % 7.52/7.77 (step @p153 :rule trans :premises (@p152 @p151)) % 7.52/7.77 (step @p154 :rule cong :premises (@p153) :args ((forall @t75 (=> @t211 @t167)))) % 7.52/7.77 (step @p155 :rule refl :args (@t167)) % 7.52/7.77 (step @p156 :rule refl :args (@t83)) % 7.52/7.77 (step @p157 :rule refl :args (@t129)) % 7.52/7.77 (step @p158 :rule eq-symm :args (@t71 |tptp.'0'|)) % 7.52/7.77 (step @p159 :rule cong :premises (@p158) :args (@t133)) % 7.52/7.77 (step @p160 :rule nary_cong :premises (@p126 @p159 @p157 @p156) :args (@t185)) % 7.52/7.77 (step @p161 :rule cong :premises (@p160 @p155) :args (@t186)) % 7.52/7.77 (step @p162 :rule cong :premises (@p161) :args (@t187)) % 7.52/7.77 (step @p163 :rule trans :premises (@p162 @p154)) % 7.52/7.77 (step @p164 :rule cong :premises (@p163) :args (@t188)) % 7.52/7.77 (step @p165 :rule eq_resolve :premises (@p121 @p164)) % 7.52/7.77 (step @p166 :rule aci_norm :args ((= @t208 @t212))) % 7.52/7.77 (step @p167 :rule cong :premises (@p166) :args (@t213)) % 7.52/7.77 (step @p168 :rule symm :premises (@p167)) % 7.52/7.77 (step @p169 :rule true_intro :premises (@p168)) % 7.52/7.77 (step @p170 :rule eq-symm :args (@t213 @t214)) % 7.52/7.77 (step @p171 :rule trans :premises (@p170 @p169)) % 7.52/7.77 (step @p172 :rule cong :premises (@p168 @p167) :args ((= @t214 @t213))) % 7.52/7.77 (step @p173 :rule trans :premises (@p172 @p171)) % 7.52/7.77 (step @p174 :rule true_elim :premises (@p173)) % 7.52/7.77 (step @p175 :rule alpha_equiv :args ((forall (@list @t216 @t217 @t215) (or (not (tptp.nat_succeeds @t216)) (= |tptp.'0'| @t216) (not (tptp.nat_succeeds @t215)) (not (|tptp.'@<_succeeds'| @t217 @t215)) (|tptp.'@<_succeeds'| (|tptp.'@*'| @t216 @t217) (|tptp.'@*'| @t216 @t215)))) @t218 (@list @t71 @t70 @t69))) % 7.52/7.77 (step @p176 :rule alpha_equiv :args (@t226 (@list @t71 @t220 @t219) @t218)) % 7.52/7.77 (step @p177 :rule trans :premises (@p176 @p175 @p174)) % 7.52/7.77 (step @p178 :rule equiv_elim1 :premises (@p177)) % 7.52/7.77 (step @p179 :rule reordering :premises (@p178) :args ((or @t213 @t227))) % 7.52/7.77 (step @p180 :rule chain_m_resolution :premises (@p179 @p165) :args (@t227 @t228 (@list @t213))) % 7.52/7.77 (step @p181 :rule aci_norm :args ((= @t230 @t224))) % 7.52/7.77 (step @p182 :rule cong :premises (@p181) :args (@t231)) % 7.52/7.77 (step @p183 :rule quant-merge-prenex :args ((= (forall @t80 @t233) @t231))) % 7.52/7.77 (step @p184 :rule alpha_equiv :args (@t234 (@list @t220 @t219) @t235)) % 7.52/7.77 (step @p185 :rule refl :args (@t195)) % 7.52/7.77 (step @p186 :rule nary_cong :premises (@p137 @p185 @p184) :args (@t236)) % 7.52/7.77 (step @p187 :rule quant-miniscope-or :args ((= @t233 @t236))) % 7.52/7.77 (step @p188 :rule trans :premises (@p187 @p186)) % 7.52/7.77 (step @p189 :rule symm :premises (@p188)) % 7.52/7.77 (step @p190 :rule cong :premises (@p189) :args ((forall @t80 @t239))) % 7.52/7.77 (step @p191 :rule trans :premises (@p190 @p183)) % 7.52/7.77 (step @p192 :rule trans :premises (@p191 @p182)) % 7.52/7.77 (step @p193 :rule aci_norm :args ((= (or @t207 @t240) @t239))) % 7.52/7.77 (step @p194 :rule bool-impl-elim :args (@t74 @t240)) % 7.52/7.77 (step @p195 :rule trans :premises (@p194 @p193)) % 7.52/7.77 (step @p196 :rule cong :premises (@p195) :args ((forall @t80 (=> @t74 @t240)))) % 7.52/7.77 (step @p197 :rule trans :premises (@p196 @p192)) % 7.52/7.77 (step @p198 :rule quant-miniscope-or :args ((= (forall @t170 @t241) @t240))) % 7.52/7.77 (step @p199 :rule aci_norm :args ((= @t242 @t241))) % 7.52/7.77 (step @p200 :rule cong :premises (@p199) :args ((forall @t170 @t242))) % 7.52/7.77 (step @p201 :rule trans :premises (@p200 @p198)) % 7.52/7.77 (step @p202 :rule aci_norm :args ((= (or (or @t199 @t198 @t195) @t167) @t242))) % 7.52/7.77 (step @p203 :rule nary_cong :premises (@p134 @p135 @p136) :args (@t243)) % 7.52/7.77 (step @p204 :rule aci_norm :args ((= (or @t199 (or @t198 @t209)) @t243))) % 7.52/7.77 (step @p205 :rule trans :premises (@p204 @p203)) % 7.52/7.77 (step @p206 :rule bool-and-de-morgan :args (@t129 @t196 true)) % 7.52/7.77 (step @p207 :rule nary_cong :premises (@p134 @p206) :args ((or @t199 (not (and @t129 @t196))))) % 7.52/7.77 (step @p208 :rule bool-and-de-morgan :args (@t83 @t129 (and @t196))) % 7.52/7.77 (step @p209 :rule trans :premises (@p208 @p207)) % 7.52/7.77 (step @p210 :rule trans :premises (@p209 @p205)) % 7.52/7.77 (step @p211 :rule nary_cong :premises (@p210 @p133) :args ((or (not @t244) @t167))) % 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:rule chain_m_resolution :premises (@p642 @p336) :args ((not @t298) @t228 @t310)) % 7.52/7.77 (step @p644 :rule instantiate :premises (@p558) :args ((@list @t286 @t331 @t284 @t396))) % 7.52/7.77 (step @p645 :rule trans :premises (@p584 @p571)) % 7.52/7.77 (step @p646 :rule cong :premises (@p627 @p645) :args (@t425)) % 7.52/7.77 (step @p647 :rule trans :premises (@p646 @p562)) % 7.52/7.77 (step @p648 :rule false_elim :premises (@p647)) % 7.52/7.77 (step @p649 :rule bool-impl-elim :args (@t124 @t135)) % 7.52/7.77 (step @p650 :rule cong :premises (@p649) :args (@t139)) % 7.52/7.77 (step @p651 :rule eq_resolve :premises (@p91 @p650)) % 7.52/7.77 (step @p652 :rule instantiate :premises (@p651) :args (@t319)) % 7.52/7.77 (step @p653 :rule cnf_or_pos :args (@t427)) % 7.52/7.77 (step @p654 :rule reordering :premises (@p653) :args ((or @t289 @t426 (not @t427)))) % 7.52/7.77 (step @p655 :rule chain_m_resolution :premises (@p654 @p375 @p652) :args (@t426 @t314 (@list @t288 @t427))) % 7.52/7.77 (step @p656 :rule cnf_or_pos :args (@t431)) % 7.52/7.77 (step @p657 :rule reordering :premises (@p656) :args ((or @t291 @t430 @t425 @t429 (not @t431)))) % 7.52/7.77 (step @p658 :rule chain_m_resolution :premises (@p657 @p361 @p655 @p648 @p644) :args (@t429 @t424 (@list @t290 @t426 @t425 @t431))) % 7.52/7.77 (step @p659 :rule cnf_or_pos :args (@t432)) % 7.52/7.77 (step @p660 :rule reordering :premises (@p659) :args ((or @t291 @t289 @t428 @t433))) % 7.52/7.77 (step @p661 :rule chain_m_resolution :premises (@p660 @p361 @p375 @p658) :args (@t433 (@list false false true) (@list @t290 @t288 @t428))) % 7.52/7.77 (assume-push @p773 @t294) % 7.52/7.77 (step @p663 :rule instantiate :premises (@p773) :args (@t319)) % 7.52/7.77 (step-pop @p774 :rule scope :premises (@p663)) % 7.52/7.77 (step @p664 :rule process_scope :premises (@p774) :args (@t432)) % 7.52/7.77 (step @p666 :rule implies_elim :premises (@p664)) % 7.52/7.77 (step @p667 :rule chain_m_resolution :premises (@p666 @p661) :args (@t295 @t228 (@list @t432))) % 7.52/7.77 (step @p668 :rule bool-double-not-elim :args (@t294)) % 7.52/7.77 (step @p669 :rule bool-double-not-elim :args (@t296)) % 7.52/7.77 (step @p670 :rule refl :args (@t298)) % 7.52/7.77 (step @p671 :rule nary_cong :premises (@p670 @p669 @p668) :args ((or @t298 (not @t297) (not @t295)))) % 7.52/7.77 (step @p672 :rule cnf_and_neg :args (@t298)) % 7.52/7.77 (step @p673 :rule eq_resolve :premises (@p672 @p671)) % 7.52/7.77 (step @p674 :rule reordering :premises (@p673) :args ((or @t296 @t294 @t298))) % 7.52/7.77 (step @p675 :rule chain_m_resolution :premises (@p674 @p667 @p643) :args (@t296 @t309 (@list @t294 @t298))) % 7.52/7.77 (step @p676 :rule bool-double-not-elim :args (@t421)) % 7.52/7.77 (step @p677 :rule refl :args (@t434)) % 7.52/7.77 (step @p678 :rule refl :args (@t435)) % 7.52/7.77 (step @p679 :rule refl :args (@t346)) % 7.52/7.77 (step @p680 :rule refl :args (@t436)) % 7.52/7.77 (step @p681 :rule refl :args (@t437)) % 7.52/7.77 (step @p682 :rule refl :args (@t438)) % 7.52/7.77 (step @p683 :rule refl :args (@t439)) % 7.52/7.77 (step @p684 :rule refl :args (@t440)) % 7.52/7.77 (step @p685 :rule refl :args (@t297)) % 7.52/7.77 (step @p686 :rule nary_cong :premises (@p685 @p684 @p683 @p682 @p681 @p680 @p679 @p678 @p677 @p676) :args ((or @t297 @t440 @t439 @t438 @t437 @t436 @t346 @t435 @t434 (not @t422)))) % 7.52/7.77 (assume-push @p775 @t422) % 7.52/7.77 (assume-push @p776 @t332) % 7.52/7.77 (assume-push @p777 @t296) % 7.52/7.77 (assume-push @p778 @t317) % 7.52/7.77 (assume-push @p779 @t312) % 7.52/7.77 (assume-push @p780 @t361) % 7.52/7.77 (assume-push @p781 @t322) % 7.52/7.77 (assume-push @p782 @t345) % 7.52/7.77 (assume-push @p783 @t387) % 7.52/7.77 (assume-push @p784 @t370) % 7.52/7.77 (step @p697 :rule evaluate :args ((= true false))) % 7.52/7.77 (step @p698 :rule false_intro :premises (@p641)) % 7.52/7.77 (step @p699 :rule cong :premises (@p563 @p777) :args (@t316)) % 7.52/7.77 (step @p700 :rule trans :premises (@p364 @p699)) % 7.52/7.77 (step @p701 :rule cong :premises (@p394 @p700) :args ((|tptp.'@=<_succeeds'| @t331 |tptp.'0'|))) % 7.52/7.77 (step @p702 :rule symm :premises (@p381)) % 7.52/7.77 (step @p703 :rule symm :premises (@p777)) % 7.52/7.77 (step @p704 :rule cong :premises (@p620 @p703) :args (@t330)) % 7.52/7.77 (step @p705 :rule cong :premises (@p620 @p531) :args (@t386)) % 7.52/7.77 (step @p706 :rule symm :premises (@p543)) % 7.52/7.77 (step @p707 :rule trans :premises (@p706 @p705 @p704 @p702)) % 7.52/7.77 (step @p708 :rule symm :premises (@p346)) % 7.52/7.77 (step @p709 :rule cong :premises (@p708 @p620) :args (@t360)) % 7.52/7.77 (step @p710 :rule symm :premises (@p477)) % 7.52/7.77 (step @p711 :rule refl :args (@t358)) % 7.52/7.77 (step @p712 :rule cong :premises (@p495 @p711) :args (@t441)) % 7.52/7.77 (step @p713 :rule trans :premises (@p712 @p710 @p709)) % 7.52/7.77 (step @p714 :rule cong :premises (@p713 @p707) :args ((|tptp.'@=<_succeeds'| @t441 @t369))) % 7.52/7.77 (step @p715 :rule refl :args (@t365)) % 7.52/7.77 (step @p716 :rule cong :premises (@p394 @p715) :args (@t442)) % 7.52/7.77 (step @p717 :rule symm :premises (@p712)) % 7.52/7.77 (step @p718 :rule cong :premises (@p717 @p716) :args ((|tptp.'@=<_succeeds'| @t359 @t442))) % 7.52/7.77 (step @p719 :rule symm :premises (@p716)) % 7.52/7.77 (step @p720 :rule trans :premises (@p710 @p709)) % 7.52/7.77 (step @p721 :rule symm :premises (@p720)) % 7.52/7.77 (step @p722 :rule trans :premises (@p495 @p721)) % 7.52/7.77 (step @p723 :rule cong :premises (@p722 @p719) :args (@t370)) % 0.36/7.80 (step @p724 :rule true_intro :premises (@p501)) % 0.36/7.80 (step @p725 :rule symm :premises (@p724)) % 0.36/7.80 (step @p726 :rule trans :premises (@p725 @p723 @p718 @p714 @p701 @p698)) % 0.36/7.80 (step @p727 false :rule eq_resolve :premises (@p726 @p697)) % 0.36/7.80 (step-pop @p785 :rule scope :premises (@p727)) % 0.36/7.80 (step-pop @p786 :rule scope :premises (@p785)) % 0.36/7.80 (step-pop @p787 :rule scope :premises (@p786)) % 0.36/7.80 (step-pop @p788 :rule scope :premises (@p787)) % 0.36/7.80 (step-pop @p789 :rule scope :premises (@p788)) % 0.36/7.80 (step-pop @p790 :rule scope :premises (@p789)) % 0.36/7.80 (step-pop @p791 :rule scope :premises (@p790)) % 0.36/7.80 (step-pop @p792 :rule scope :premises (@p791)) % 0.36/7.80 (step-pop @p793 :rule scope :premises (@p792)) % 0.36/7.80 (step-pop @p794 :rule scope :premises (@p793)) % 0.36/7.80 (step @p728 :rule process_scope :premises (@p794) :args (false)) % 0.36/7.80 (assume-push @p795 @t296) % 0.36/7.80 (assume-push @p796 @t312) % 0.36/7.80 (assume-push @p797 @t317) % 0.36/7.80 (assume-push @p798 @t361) % 0.36/7.80 (assume-push @p799 @t322) % 0.36/7.80 (assume-push @p800 @t332) % 0.36/7.80 (assume-push @p801 @t345) % 0.36/7.80 (assume-push @p802 @t387) % 0.36/7.80 (assume-push @p803 @t370) % 0.36/7.80 (assume-push @p804 @t422) % 0.36/7.80 (step @p749 :rule and_intro :premises (@p641 @p394 @p795 @p364 @p346 @p477 @p381 @p430 @p543 @p501)) % 0.36/7.80 (step-pop @p805 :rule scope :premises (@p749)) % 0.36/7.80 (step-pop @p806 :rule scope :premises (@p805)) % 0.36/7.80 (step-pop @p807 :rule scope :premises (@p806)) % 0.36/7.80 (step-pop @p808 :rule scope :premises (@p807)) % 0.36/7.80 (step-pop @p809 :rule scope :premises (@p808)) % 0.36/7.80 (step-pop @p810 :rule scope :premises (@p809)) % 0.36/7.80 (step-pop @p811 :rule scope :premises (@p810)) % 0.36/7.80 (step-pop @p812 :rule scope :premises (@p811)) % 0.36/7.80 (step-pop @p813 :rule scope :premises (@p812)) % 0.36/7.80 (step-pop @p814 :rule scope :premises (@p813)) % 0.36/7.80 (step @p750 :rule process_scope :premises (@p814) :args (@t443)) % 0.36/7.80 (step @p761 :rule implies_elim :premises (@p750)) % 0.36/7.80 (step @p762 :rule resolution :premises (@p761 @p728) :args (true @t443)) % 0.36/7.80 (step @p763 :rule not_and :premises (@p762)) % 0.36/7.80 (step @p764 :rule eq_resolve :premises (@p763 @p686)) % 0.36/7.80 (step @p765 :rule reordering :premises (@p764) :args ((or @t297 @t440 @t439 @t438 @t437 @t436 @t346 @t435 @t421 @t434))) % 0.36/7.80 (step @p766 false :rule chain_m_resolution :premises (@p765 @p675 @p641 @p543 @p501 @p477 @p430 @p394 @p381 @p364 @p346) :args (false (@list false true false false false false false false false false) (@list @t296 @t421 @t387 @t370 @t361 @t345 @t332 @t322 @t317 @t312))) % 0.36/7.80 ) % 0.36/7.80 % SZS output end Proof % 0.36/7.80 % cvc5 exiting %------------------------------------------------------------------------------