%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX039+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 : n006.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 0.35s 0.75s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX039+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 % 0.16/0.34 % Computer : n006.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 22:54:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.75 % SZS status Theorem % 0.35/0.75 % SZS output start Proof % 0.35/0.75 ( % 0.35/0.75 (declare-sort $$unsorted 0) % 0.35/0.75 (declare-const tptp.nat_fails (-> $$unsorted Bool)) % 0.35/0.75 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.35/0.75 (declare-const |tptp.'@<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 0.35/0.75 (declare-const tptp.gr (-> $$unsorted Bool)) % 0.35/0.75 (declare-const tptp.plus_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.75 (declare-const |tptp.'0'| $$unsorted) % 0.35/0.75 (declare-const |tptp.'@*'| (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.75 (declare-const tptp.plus_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.75 (declare-const tptp.nat_terminates (-> $$unsorted Bool)) % 0.35/0.75 (declare-const |tptp.'@=<_terminates'| (-> $$unsorted $$unsorted Bool)) % 0.35/0.75 (declare-const tptp.times_fails (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.75 (declare-const tptp.plus_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.75 (declare-const |tptp.'@<_terminates'| (-> $$unsorted $$unsorted Bool)) % 0.35/0.75 (declare-const tptp.times_succeeds (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.75 (declare-const tptp.times_terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.75 (declare-const |tptp.'@+'| (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.75 (declare-const tptp.nat_succeeds (-> $$unsorted Bool)) % 0.35/0.75 (declare-const |tptp.'@=<_fails'| (-> $$unsorted $$unsorted Bool)) % 0.35/0.75 (declare-const |tptp.'@=<_succeeds'| (-> $$unsorted $$unsorted Bool)) % 0.35/0.75 (declare-const |tptp.'@<_fails'| (-> $$unsorted $$unsorted Bool)) % 0.35/0.75 (define @t1 () (@var "Xx3" $$unsorted)) % 0.35/0.75 (define @t2 () (tptp.s @t1)) % 0.35/0.75 (define @t3 () (@var "Xx5" $$unsorted)) % 0.35/0.75 (define @t4 () (@var "Xx4" $$unsorted)) % 0.35/0.75 (define @t5 () (tptp.s @t3)) % 0.35/0.75 (define @t6 () (tptp.s @t4)) % 0.35/0.75 (define @t7 () (@list @t4 @t3)) % 0.35/0.75 (define @t8 () (@var "Xx6" $$unsorted)) % 0.35/0.75 (define @t9 () (@var "Xx9" $$unsorted)) % 0.35/0.75 (define @t10 () (@var "Xx8" $$unsorted)) % 0.35/0.75 (define @t11 () (@var "Xx7" $$unsorted)) % 0.35/0.75 (define @t12 () (tptp.times_fails @t11 @t10 @t9)) % 0.35/0.75 (define @t13 () (tptp.times_succeeds @t11 @t10 @t9)) % 0.35/0.75 (define @t14 () (@list @t11 @t10 @t9)) % 0.35/0.75 (define @t15 () (@var "Xx12" $$unsorted)) % 0.35/0.75 (define @t16 () (@var "Xx11" $$unsorted)) % 0.35/0.75 (define @t17 () (@var "Xx10" $$unsorted)) % 0.35/0.75 (define @t18 () (tptp.plus_fails @t17 @t16 @t15)) % 0.35/0.75 (define @t19 () (tptp.plus_succeeds @t17 @t16 @t15)) % 0.35/0.75 (define @t20 () (@list @t17 @t16 @t15)) % 0.35/0.75 (define @t21 () (@var "Xx14" $$unsorted)) % 0.35/0.75 (define @t22 () (@var "Xx13" $$unsorted)) % 0.35/0.75 (define @t23 () (|tptp.'@=<_fails'| @t22 @t21)) % 0.35/0.75 (define @t24 () (|tptp.'@=<_succeeds'| @t22 @t21)) % 0.35/0.75 (define @t25 () (@list @t22 @t21)) % 0.35/0.75 (define @t26 () (@var "Xx16" $$unsorted)) % 0.35/0.75 (define @t27 () (@var "Xx15" $$unsorted)) % 0.35/0.75 (define @t28 () (|tptp.'@<_fails'| @t27 @t26)) % 0.35/0.75 (define @t29 () (|tptp.'@<_succeeds'| @t27 @t26)) % 0.35/0.75 (define @t30 () (@list @t27 @t26)) % 0.35/0.75 (define @t31 () (@var "Xx17" $$unsorted)) % 0.35/0.75 (define @t32 () (tptp.nat_fails @t31)) % 0.35/0.75 (define @t33 () (tptp.nat_succeeds @t31)) % 0.35/0.75 (define @t34 () (@list @t31)) % 0.35/0.75 (define @t35 () (= @t1 |tptp.'0'|)) % 0.35/0.75 (define @t36 () (@var "Xx1" $$unsorted)) % 0.35/0.75 (define @t37 () (= @t36 |tptp.'0'|)) % 0.35/0.75 (define @t38 () (@var "Xx2" $$unsorted)) % 0.35/0.75 (define @t39 () (= @t36 @t6)) % 0.35/0.75 (define @t40 () (@list @t36 @t38 @t1)) % 0.35/0.75 (define @t41 () (not @t37)) % 0.35/0.75 (define @t42 () (tptp.times_fails @t4 @t38 @t3)) % 0.35/0.75 (define @t43 () (not @t39)) % 0.35/0.75 (define @t44 () (or @t41 true)) % 0.35/0.75 (define @t45 () (= @t1 @t38)) % 0.35/0.75 (define @t46 () (= @t1 @t5)) % 0.35/0.75 (define @t47 () (not @t46)) % 0.35/0.75 (define @t48 () (= @t38 @t6)) % 0.35/0.75 (define @t49 () (= @t36 @t2)) % 0.35/0.75 (define @t50 () (@list @t1 @t4)) % 0.35/0.75 (define @t51 () (@list @t36 @t38)) % 0.35/0.75 (define @t52 () (not @t48)) % 0.35/0.75 (define @t53 () (not @t49)) % 0.35/0.75 (define @t54 () (= @t38 @t5)) % 0.35/0.75 (define @t55 () (@list @t3)) % 0.35/0.75 (define @t56 () (tptp.nat_succeeds @t38)) % 0.35/0.75 (define @t57 () (tptp.s @t38)) % 0.35/0.75 (define @t58 () (= @t36 @t57)) % 0.35/0.75 (define @t59 () (@list @t38)) % 0.35/0.75 (define @t60 () (@list @t36)) % 0.35/0.75 (define @t61 () (not @t58)) % 0.35/0.75 (define @t62 () (@var "Xz" $$unsorted)) % 0.35/0.75 (define @t63 () (@var "Xy" $$unsorted)) % 0.35/0.75 (define @t64 () (@var "Xx" $$unsorted)) % 0.35/0.75 (define @t65 () (tptp.plus_succeeds @t64 @t63 @t62)) % 0.35/0.75 (define @t66 () (|tptp.'@+'| @t64 @t63)) % 0.35/0.75 (define @t67 () (tptp.nat_succeeds @t64)) % 0.35/0.75 (define @t68 () (@list @t64 @t63 @t62)) % 0.35/0.75 (define @t69 () (tptp.times_succeeds @t64 @t63 @t62)) % 0.35/0.75 (define @t70 () (|tptp.'@*'| @t64 @t63)) % 0.35/0.75 (define @t71 () (tptp.nat_succeeds @t63)) % 0.35/0.75 (define @t72 () (and @t67 @t71)) % 0.35/0.75 (define @t73 () (@list @t64)) % 0.35/0.75 (define @t74 () (tptp.gr @t64)) % 0.35/0.75 (define @t75 () (tptp.plus_terminates @t64 @t63 @t62)) % 0.35/0.75 (define @t76 () (tptp.nat_succeeds @t62)) % 0.35/0.75 (define @t77 () (tptp.gr @t62)) % 0.35/0.75 (define @t78 () (tptp.gr @t63)) % 0.35/0.75 (define @t79 () (@list @t62)) % 0.35/0.75 (define @t80 () (@list @t64 @t63)) % 0.35/0.75 (define @t81 () (@var "Xz2" $$unsorted)) % 0.35/0.75 (define @t82 () (@var "Xz1" $$unsorted)) % 0.35/0.75 (define @t83 () (= @t82 @t81)) % 0.35/0.75 (define @t84 () (@list @t64 @t63 @t82 @t81)) % 0.35/0.75 (define @t85 () (@list @t63)) % 0.35/0.75 (define @t86 () (tptp.s @t64)) % 0.35/0.75 (define @t87 () (|tptp.'@+'| @t86 @t63)) % 0.35/0.75 (define @t88 () (and @t67 @t71 @t76)) % 0.35/0.75 (define @t89 () (= @t66 (|tptp.'@+'| @t63 @t64))) % 0.35/0.75 (define @t90 () (forall @t80 (=> @t72 @t89))) % 0.35/0.75 (define @t91 () (|tptp.'@*'| |tptp.'0'| @t63)) % 0.35/0.75 (define @t92 () (=> @t71 (= @t91 |tptp.'0'|))) % 0.35/0.75 (define @t93 () (forall @t85 @t92)) % 0.35/0.75 (define @t94 () (= (|tptp.'@*'| @t86 @t63) (|tptp.'@+'| @t63 @t70))) % 0.35/0.75 (define @t95 () (forall @t80 (=> @t72 @t94))) % 0.35/0.75 (define @t96 () (tptp.nat_succeeds @t70)) % 0.35/0.75 (define @t97 () (forall @t80 (=> @t72 @t96))) % 0.35/0.75 (define @t98 () (|tptp.'@*'| @t63 @t62)) % 0.35/0.75 (define @t99 () (|tptp.'@*'| @t64 |tptp.'0'|)) % 0.35/0.75 (define @t100 () (=> @t67 (= @t99 |tptp.'0'|))) % 0.35/0.75 (define @t101 () (forall @t73 @t100)) % 0.35/0.75 (define @t102 () (|tptp.'@*'| @t63 @t64)) % 0.35/0.75 (define @t103 () (= (|tptp.'@+'| @t102 @t63) (|tptp.'@*'| @t63 @t86))) % 0.35/0.75 (define @t104 () (and @t71 @t67)) % 0.35/0.75 (define @t105 () (forall (@list @t63 @t64) (=> @t104 @t103))) % 0.35/0.75 (define @t106 () (= @t70 @t102)) % 0.35/0.75 (define @t107 () (forall @t85 (=> @t71 @t106))) % 0.35/0.75 (define @t108 () (=> @t67 @t107)) % 0.35/0.75 (define @t109 () (forall @t73 @t108)) % 0.35/0.75 (define @t110 () (= (|tptp.'@*'| @t38 @t63) (|tptp.'@*'| @t63 @t38))) % 0.35/0.75 (define @t111 () (forall @t85 (=> @t71 @t110))) % 0.35/0.75 (define @t112 () (and (= @t64 @t57) @t56 @t111)) % 0.35/0.75 (define @t113 () (exists @t59 @t112)) % 0.35/0.75 (define @t114 () (or @t113 (= @t64 |tptp.'0'|))) % 0.35/0.75 (define @t115 () (=> @t114 @t107)) % 0.35/0.75 (define @t116 () (forall @t73 @t115)) % 0.35/0.75 (define @t117 () (=> @t116 @t109)) % 0.35/0.75 (define @t118 () (forall @t80 (=> @t72 @t106))) % 0.35/0.75 (define @t119 () (not @t118)) % 0.35/0.75 (define @t120 () (not @t71)) % 0.35/0.75 (define @t121 () (not @t67)) % 0.35/0.75 (define @t122 () (or @t121 @t120 @t106)) % 0.35/0.75 (define @t123 () (or @t121 @t120)) % 0.35/0.75 (define @t124 () (not @t72)) % 0.35/0.75 (define @t125 () (@var "BOUND_VARIABLE_8933" $$unsorted)) % 0.35/0.75 (define @t126 () (@var "BOUND_VARIABLE_8934" $$unsorted)) % 0.35/0.75 (define @t127 () (@list @t125 @t126)) % 0.35/0.75 (define @t128 () (@var "BOUND_VARIABLE_8303" $$unsorted)) % 0.35/0.75 (define @t129 () (= (|tptp.'@*'| @t64 @t128) (|tptp.'@*'| @t128 @t64))) % 0.35/0.75 (define @t130 () (not (tptp.nat_succeeds @t128))) % 0.35/0.75 (define @t131 () (or @t121 @t130 @t129)) % 0.35/0.75 (define @t132 () (@list @t64 @t128)) % 0.35/0.75 (define @t133 () (forall @t132 @t131)) % 0.35/0.75 (define @t134 () (not @t133)) % 0.35/0.75 (define @t135 () (forall @t80 @t122)) % 0.35/0.75 (define @t136 () (@list true)) % 0.35/0.75 (define @t137 () (or @t130 @t129)) % 0.35/0.75 (define @t138 () (or @t121 @t137)) % 0.35/0.75 (define @t139 () (forall @t132 @t138)) % 0.35/0.75 (define @t140 () (@list @t128)) % 0.35/0.75 (define @t141 () (forall @t140 @t138)) % 0.35/0.75 (define @t142 () (forall @t140 @t137)) % 0.35/0.75 (define @t143 () (@list @t63)) % 0.35/0.75 (define @t144 () (or @t121 @t142)) % 0.35/0.75 (define @t145 () (forall @t85 (or @t120 @t106))) % 0.35/0.75 (define @t146 () (@var "BOUND_VARIABLE_8281" $$unsorted)) % 0.35/0.75 (define @t147 () (= (|tptp.'@*'| @t64 @t146) (|tptp.'@*'| @t146 @t64))) % 0.35/0.75 (define @t148 () (not (tptp.nat_succeeds @t146))) % 0.35/0.75 (define @t149 () (= |tptp.'0'| @t64)) % 0.35/0.75 (define @t150 () (not @t149)) % 0.35/0.75 (define @t151 () (@var "BOUND_VARIABLE_8266" $$unsorted)) % 0.35/0.75 (define @t152 () (not (forall @t85 (or @t120 (= (|tptp.'@*'| @t151 @t63) (|tptp.'@*'| @t63 @t151)))))) % 0.35/0.75 (define @t153 () (not (tptp.nat_succeeds @t151))) % 0.35/0.75 (define @t154 () (tptp.s @t151)) % 0.35/0.75 (define @t155 () (not (= @t154 @t64))) % 0.35/0.75 (define @t156 () (or @t155 @t153 @t152)) % 0.35/0.75 (define @t157 () (and @t156 @t150)) % 0.35/0.75 (define @t158 () (or @t157 @t148 @t147)) % 0.35/0.75 (define @t159 () (or @t148 @t147)) % 0.35/0.75 (define @t160 () (or @t157 @t159)) % 0.35/0.75 (define @t161 () (@list @t64 @t151 @t146)) % 0.35/0.75 (define @t162 () (forall @t161 @t160)) % 0.35/0.75 (define @t163 () (forall (@list @t151 @t146) @t160)) % 0.35/0.75 (define @t164 () (forall (@list @t146) @t159)) % 0.35/0.75 (define @t165 () (@list @t151)) % 0.35/0.75 (define @t166 () (forall @t165 @t150)) % 0.35/0.75 (define @t167 () (forall @t165 @t156)) % 0.35/0.75 (define @t168 () (and @t167 @t166)) % 0.35/0.75 (define @t169 () (forall @t165 @t157)) % 0.35/0.75 (define @t170 () (or @t169 @t164)) % 0.35/0.75 (define @t171 () (forall @t85 (or @t120 @t110))) % 0.35/0.75 (define @t172 () (not @t171)) % 0.35/0.75 (define @t173 () (not @t56)) % 0.35/0.75 (define @t174 () (= @t57 @t64)) % 0.35/0.75 (define @t175 () (not @t174)) % 0.35/0.75 (define @t176 () (or @t175 @t173 @t172)) % 0.35/0.75 (define @t177 () (forall @t59 @t176)) % 0.35/0.75 (define @t178 () (not @t177)) % 0.35/0.75 (define @t179 () (or @t178 @t149)) % 0.35/0.75 (define @t180 () (and @t174 @t56 @t171)) % 0.35/0.75 (define @t181 () (forall @t59 (not @t180))) % 0.35/0.75 (define @t182 () (not @t181)) % 0.35/0.75 (define @t183 () (forall @t161 (or (and (or (not (= @t64 @t154)) @t153 @t152) @t150) @t148 @t147))) % 0.35/0.75 (define @t184 () (not @t183)) % 0.35/0.75 (define @t185 () (@quantifiers_skolemize @t183 0)) % 0.35/0.75 (define @t186 () (@quantifiers_skolemize @t183 2)) % 0.35/0.75 (define @t187 () (|tptp.'@*'| @t185 @t186)) % 0.35/0.75 (define @t188 () (= @t187 (|tptp.'@*'| @t186 @t185))) % 0.35/0.75 (define @t189 () (tptp.nat_succeeds @t186)) % 0.35/0.75 (define @t190 () (not @t189)) % 0.35/0.75 (define @t191 () (= |tptp.'0'| @t185)) % 0.35/0.75 (define @t192 () (not @t191)) % 0.35/0.75 (define @t193 () (@quantifiers_skolemize @t183 1)) % 0.35/0.75 (define @t194 () (forall @t85 (or @t120 (= (|tptp.'@*'| @t193 @t63) (|tptp.'@*'| @t63 @t193))))) % 0.35/0.75 (define @t195 () (not @t194)) % 0.35/0.75 (define @t196 () (tptp.nat_succeeds @t193)) % 0.35/0.75 (define @t197 () (not @t196)) % 0.35/0.75 (define @t198 () (tptp.s @t193)) % 0.35/0.75 (define @t199 () (= @t185 @t198)) % 0.35/0.75 (define @t200 () (not @t199)) % 0.35/0.75 (define @t201 () (or @t200 @t197 @t195)) % 0.35/0.75 (define @t202 () (and @t201 @t192)) % 0.35/0.75 (define @t203 () (or @t202 @t190 @t188)) % 0.35/0.75 (define @t204 () (not @t188)) % 0.35/0.75 (define @t205 () (@list @t203)) % 0.35/0.75 (define @t206 () (= |tptp.'0'| @t99)) % 0.35/0.75 (define @t207 () (@list @t186)) % 0.35/0.75 (define @t208 () (|tptp.'@*'| @t186 |tptp.'0'|)) % 0.35/0.75 (define @t209 () (= |tptp.'0'| @t208)) % 0.35/0.75 (define @t210 () (or @t190 @t209)) % 0.35/0.75 (define @t211 () (@list false false)) % 0.35/0.75 (define @t212 () (= |tptp.'0'| @t91)) % 0.35/0.75 (define @t213 () (= |tptp.'0'| (|tptp.'@*'| |tptp.'0'| @t186))) % 0.35/0.75 (define @t214 () (or @t190 @t213)) % 0.35/0.75 (define @t215 () (and @t191 @t213 @t209)) % 0.35/0.75 (define @t216 () (not @t201)) % 0.35/0.75 (define @t217 () (@list @t201)) % 0.35/0.75 (define @t218 () (@list @t193 @t186)) % 0.35/0.75 (define @t219 () (|tptp.'@*'| @t193 @t186)) % 0.35/0.75 (define @t220 () (|tptp.'@+'| @t186 @t219)) % 0.35/0.75 (define @t221 () (|tptp.'@*'| @t198 @t186)) % 0.35/0.75 (define @t222 () (= @t221 @t220)) % 0.35/0.75 (define @t223 () (or @t197 @t190 @t222)) % 0.35/0.75 (define @t224 () (@list false false false)) % 0.35/0.75 (define @t225 () (|tptp.'@*'| @t186 @t198)) % 0.35/0.75 (define @t226 () (|tptp.'@*'| @t186 @t193)) % 0.35/0.75 (define @t227 () (= (|tptp.'@+'| @t226 @t186) @t225)) % 0.35/0.75 (define @t228 () (or @t190 @t197 @t227)) % 0.35/0.75 (define @t229 () (= @t219 @t226)) % 0.35/0.75 (define @t230 () (or @t190 @t229)) % 0.35/0.75 (define @t231 () (tptp.nat_succeeds @t219)) % 0.35/0.75 (define @t232 () (or @t197 @t190 @t231)) % 0.35/0.75 (define @t233 () (|tptp.'@+'| @t219 @t186)) % 0.35/0.75 (define @t234 () (= @t220 @t233)) % 0.35/0.75 (define @t235 () (not @t231)) % 0.35/0.75 (define @t236 () (or @t190 @t235 @t234)) % 0.35/0.75 (define @t237 () (not @t234)) % 0.35/0.75 (define @t238 () (not @t229)) % 0.35/0.75 (define @t239 () (not @t227)) % 0.35/0.75 (define @t240 () (not @t222)) % 0.35/0.75 (define @t241 () (and @t237 @t234)) % 0.35/0.75 (assume @p1 (forall (@list @t1) (not (= |tptp.'0'| @t2)))) % 0.35/0.75 (assume @p2 (forall @t7 (=> (= @t6 @t5) (= @t4 @t3)))) % 0.35/0.75 (assume @p3 (tptp.gr |tptp.'0'|)) % 0.35/0.75 (assume @p4 (forall (@list @t8) (= (tptp.gr @t8) (tptp.gr (tptp.s @t8))))) % 0.35/0.75 (assume @p5 (forall @t14 (not (and @t13 @t12)))) % 0.35/0.75 (assume @p6 (forall @t14 (=> (tptp.times_terminates @t11 @t10 @t9) (or @t13 @t12)))) % 0.35/0.75 (assume @p7 (forall @t20 (not (and @t19 @t18)))) % 0.35/0.75 (assume @p8 (forall @t20 (=> (tptp.plus_terminates @t17 @t16 @t15) (or @t19 @t18)))) % 0.35/0.75 (assume @p9 (forall @t25 (not (and @t24 @t23)))) % 0.35/0.75 (assume @p10 (forall @t25 (=> (|tptp.'@=<_terminates'| @t22 @t21) (or @t24 @t23)))) % 0.35/0.75 (assume @p11 (forall @t30 (not (and @t29 @t28)))) % 0.35/0.75 (assume @p12 (forall @t30 (=> (|tptp.'@<_terminates'| @t27 @t26) (or @t29 @t28)))) % 0.35/0.75 (assume @p13 (forall @t34 (not (and @t33 @t32)))) % 0.35/0.75 (assume @p14 (forall @t34 (=> (tptp.nat_terminates @t31) (or @t33 @t32)))) % 0.35/0.75 (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))))) % 0.35/0.75 (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)))))) % 0.35/0.75 (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)))) % 0.35/0.75 (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))))) % 0.35/0.75 (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)))))) % 0.35/0.75 (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)))) % 0.35/0.75 (assume @p21 (forall @t51 (= (|tptp.'@=<_succeeds'| @t36 @t38) (or (exists @t50 (and @t49 @t48 (|tptp.'@=<_succeeds'| @t1 @t4))) @t37)))) % 0.35/0.75 (assume @p22 (forall @t51 (= (|tptp.'@=<_fails'| @t36 @t38) (and (forall @t50 (or @t53 @t52 (|tptp.'@=<_fails'| @t1 @t4))) @t41)))) % 0.35/0.75 (assume @p23 (forall @t51 (= (|tptp.'@=<_terminates'| @t36 @t38) (and (forall @t50 (and true (or @t53 (and true (or @t52 (|tptp.'@=<_terminates'| @t1 @t4)))))) true)))) % 0.35/0.75 (assume @p24 (forall @t51 (= (|tptp.'@<_succeeds'| @t36 @t38) (or (exists @t50 (and @t49 @t48 (|tptp.'@<_succeeds'| @t1 @t4))) (exists @t55 (and @t37 @t54)))))) % 0.35/0.75 (assume @p25 (forall @t51 (= (|tptp.'@<_fails'| @t36 @t38) (and (forall @t50 (or @t53 @t52 (|tptp.'@<_fails'| @t1 @t4))) (forall @t55 (or @t41 (not @t54))))))) % 0.35/0.75 (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)))))) % 0.35/0.75 (assume @p27 (forall @t60 (= (tptp.nat_succeeds @t36) (or (exists @t59 (and @t58 @t56)) @t37)))) % 0.35/0.75 (assume @p28 (forall @t60 (= (tptp.nat_fails @t36) (and (forall @t59 (or @t61 (tptp.nat_fails @t38))) @t41)))) % 0.35/0.75 (assume @p29 (forall @t60 (= (tptp.nat_terminates @t36) (and (forall @t59 (and true (or @t61 (tptp.nat_terminates @t38)))) true)))) % 0.35/0.75 (assume @p30 (forall @t68 (=> @t67 (= (= @t66 @t62) @t65)))) % 0.35/0.75 (assume @p31 (forall @t68 (=> @t72 (= (= @t70 @t62) @t69)))) % 0.35/0.75 (assume @p32 (forall @t73 (=> @t67 (tptp.nat_terminates @t64)))) % 0.35/0.75 (assume @p33 (forall @t73 (=> @t67 @t74))) % 0.35/0.75 (assume @p34 (forall @t68 (=> @t67 @t75))) % 0.35/0.75 (assume @p35 (forall @t68 (=> @t76 @t75))) % 0.35/0.75 (assume @p36 (forall @t68 (=> @t65 @t67))) % 0.35/0.75 (assume @p37 (forall @t68 (=> (and @t65 @t71) @t76))) % 0.35/0.75 (assume @p38 (forall @t68 (=> (and @t65 @t76) @t71))) % 0.35/0.75 (assume @p39 (forall @t68 (=> @t65 @t75))) % 0.35/0.75 (assume @p40 (forall @t68 (=> @t65 @t74))) % 0.35/0.75 (assume @p41 (forall @t68 (=> (and @t65 @t78) @t77))) % 0.35/0.75 (assume @p42 (forall @t68 (=> (and @t65 @t77) @t78))) % 0.35/0.75 (assume @p43 (forall @t80 (=> @t67 (exists @t79 @t65)))) % 0.35/0.75 (assume @p44 (forall @t84 (=> (and (tptp.plus_succeeds @t64 @t63 @t82) (tptp.plus_succeeds @t64 @t63 @t81)) @t83))) % 0.35/0.75 (assume @p45 (forall @t85 (= (|tptp.'@+'| |tptp.'0'| @t63) @t63))) % 0.35/0.75 (assume @p46 (forall @t80 (=> @t67 (= @t87 (tptp.s @t66))))) % 0.35/0.75 (assume @p47 (forall @t80 (=> @t72 (tptp.nat_succeeds @t66)))) % 0.35/0.75 (assume @p48 (forall @t68 (=> @t88 (= (|tptp.'@+'| @t66 @t62) (|tptp.'@+'| @t64 (|tptp.'@+'| @t63 @t62)))))) % 0.35/0.75 (assume @p49 (forall @t73 (=> @t67 (= (|tptp.'@+'| @t64 |tptp.'0'|) @t64)))) % 0.35/0.75 (assume @p50 (forall @t80 (=> @t72 (= (|tptp.'@+'| @t64 (tptp.s @t63)) @t87)))) % 0.35/0.75 (assume @p51 @t90) % 0.35/0.75 (assume @p52 (forall @t68 (=> (and @t67 (= @t66 (|tptp.'@+'| @t64 @t62))) (= @t63 @t62)))) % 0.35/0.75 (assume @p53 (forall @t68 (=> @t69 @t67))) % 0.35/0.75 (assume @p54 (forall @t68 (=> (and @t69 @t71) @t76))) % 0.35/0.75 (assume @p55 (forall @t68 (=> @t69 @t74))) % 0.35/0.75 (assume @p56 (forall @t68 (=> (and @t69 @t78) @t77))) % 0.35/0.75 (assume @p57 (forall @t68 (=> @t72 (tptp.times_terminates @t64 @t63 @t62)))) % 0.35/0.75 (assume @p58 (forall @t80 (=> @t72 (exists @t79 @t69)))) % 0.35/0.75 (assume @p59 (forall @t84 (=> (and (tptp.times_succeeds @t64 @t63 @t82) (tptp.times_succeeds @t64 @t63 @t81)) @t83))) % 0.35/0.75 (assume @p60 @t93) % 0.35/0.75 (assume @p61 @t95) % 0.35/0.75 (assume @p62 @t97) % 0.35/0.75 (assume @p63 (forall @t68 (=> @t88 (= (|tptp.'@*'| @t66 @t62) (|tptp.'@+'| (|tptp.'@*'| @t64 @t62) @t98))))) % 0.35/0.75 (assume @p64 (forall @t68 (=> @t88 (= (|tptp.'@*'| @t70 @t62) (|tptp.'@*'| @t64 @t98))))) % 0.35/0.75 (assume @p65 @t101) % 0.35/0.75 (assume @p66 @t105) % 0.35/0.75 (assume @p67 @t117) % 0.35/0.75 (assume @p68 @t119) % 0.35/0.75 (assume @p69 true) % 0.35/0.75 (step @p70 :rule aci_norm :args ((= (or @t123 @t106) @t122))) % 0.35/0.75 (step @p71 :rule refl :args (@t106)) % 0.35/0.75 (step @p72 :rule bool-and-de-morgan :args (@t67 @t71 true)) % 0.35/0.75 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t124 @t106))) % 0.35/0.75 (step @p74 :rule trans :premises (@p73 @p70)) % 0.35/0.75 (step @p75 :rule bool-impl-elim :args (@t72 @t106)) % 0.35/0.75 (step @p76 :rule trans :premises (@p75 @p74)) % 0.35/0.75 (step @p77 :rule cong :premises (@p76) :args (@t118)) % 0.35/0.75 (step @p78 :rule cong :premises (@p77) :args (@t119)) % 0.35/0.75 (step @p79 :rule eq_resolve :premises (@p68 @p78)) % 0.35/0.75 (step @p80 :rule alpha_equiv :args ((forall (@list @t125 @t126) (or (not (tptp.nat_succeeds @t125)) (not (tptp.nat_succeeds @t126)) (= (|tptp.'@*'| @t125 @t126) (|tptp.'@*'| @t126 @t125)))) @t127 (@list @t64 @t63))) % 0.35/0.75 (step @p81 :rule alpha_equiv :args (@t133 (@list @t64 @t128) @t127)) % 0.35/0.75 (step @p82 :rule trans :premises (@p81 @p80)) % 0.35/0.75 (step @p83 :rule equiv_elim1 :premises (@p82)) % 0.35/0.75 (step @p84 :rule reordering :premises (@p83) :args ((or @t135 @t134))) % 0.35/0.75 (step @p85 :rule chain_m_resolution :premises (@p84 @p79) :args (@t134 @t136 (@list @t135))) % 0.35/0.75 (step @p86 :rule aci_norm :args ((= @t138 @t131))) % 0.35/0.75 (step @p87 :rule cong :premises (@p86) :args (@t139)) % 0.35/0.75 (step @p88 :rule quant-merge-prenex :args ((= (forall @t73 @t141) @t139))) % 0.35/0.75 (step @p89 :rule alpha_equiv :args (@t142 (@list @t128) @t143)) % 0.35/0.75 (step @p90 :rule refl :args (@t121)) % 0.35/0.75 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t144)) % 0.35/0.75 (step @p92 :rule quant-miniscope-or :args ((= @t141 @t144))) % 0.35/0.75 (step @p93 :rule trans :premises (@p92 @p91)) % 0.35/0.75 (step @p94 :rule symm :premises (@p93)) % 0.35/0.75 (step @p95 :rule cong :premises (@p94) :args ((forall @t73 (or @t121 @t145)))) % 0.35/0.75 (step @p96 :rule trans :premises (@p95 @p88)) % 0.35/0.75 (step @p97 :rule trans :premises (@p96 @p87)) % 0.35/0.75 (step @p98 :rule bool-impl-elim :args (@t67 @t145)) % 0.35/0.75 (step @p99 :rule cong :premises (@p98) :args ((forall @t73 (=> @t67 @t145)))) % 0.35/0.75 (step @p100 :rule trans :premises (@p99 @p97)) % 0.35/0.75 (step @p101 :rule bool-impl-elim :args (@t71 @t106)) % 0.35/0.75 (step @p102 :rule cong :premises (@p101) :args (@t107)) % 0.35/0.75 (step @p103 :rule refl :args (@t67)) % 0.35/0.75 (step @p104 :rule cong :premises (@p103 @p102) :args (@t108)) % 0.35/0.75 (step @p105 :rule cong :premises (@p104) :args (@t109)) % 0.35/0.75 (step @p106 :rule trans :premises (@p105 @p100)) % 0.35/0.75 (step @p107 :rule refl :args (@t147)) % 0.35/0.75 (step @p108 :rule refl :args (@t148)) % 0.35/0.75 (step @p109 :rule refl :args (@t150)) % 0.35/0.75 (step @p110 :rule refl :args (@t152)) % 0.35/0.75 (step @p111 :rule refl :args (@t153)) % 0.35/0.75 (step @p112 :rule eq-symm :args (@t154 @t64)) % 0.35/0.75 (step @p113 :rule cong :premises (@p112) :args (@t155)) % 0.35/0.75 (step @p114 :rule nary_cong :premises (@p113 @p111 @p110) :args (@t156)) % 0.35/0.75 (step @p115 :rule nary_cong :premises (@p114 @p109) :args (@t157)) % 0.35/0.75 (step @p116 :rule nary_cong :premises (@p115 @p108 @p107) :args (@t158)) % 0.35/0.75 (step @p117 :rule aci_norm :args ((= @t160 @t158))) % 0.35/0.75 (step @p118 :rule trans :premises (@p117 @p116)) % 0.35/0.75 (step @p119 :rule cong :premises (@p118) :args (@t162)) % 0.35/0.75 (step @p120 :rule quant-merge-prenex :args ((= (forall @t73 @t163) @t162))) % 0.35/0.75 (step @p121 :rule alpha_equiv :args (@t164 (@list @t146) @t143)) % 0.35/0.75 (step @p122 :rule quant-unused-vars :args ((= @t166 @t150))) % 0.35/0.75 (step @p123 :rule alpha_equiv :args (@t167 (@list @t151) (@list @t38))) % 0.35/0.75 (step @p124 :rule nary_cong :premises (@p123 @p122) :args (@t168)) % 0.35/0.75 (step @p125 :rule quant-miniscope-and :args ((= @t169 @t168))) % 0.35/0.75 (step @p126 :rule trans :premises (@p125 @p124)) % 0.35/0.75 (step @p127 :rule nary_cong :premises (@p126 @p121) :args (@t170)) % 0.35/0.75 (step @p128 :rule quant-miniscope-or :args ((= @t163 @t170))) % 0.35/0.75 (step @p129 :rule trans :premises (@p128 @p127)) % 0.35/0.75 (step @p130 :rule symm :premises (@p129)) % 0.35/0.75 (step @p131 :rule cong :premises (@p130) :args ((forall @t73 (or (and @t177 @t150) @t145)))) % 0.35/0.75 (step @p132 :rule trans :premises (@p131 @p120)) % 0.35/0.75 (step @p133 :rule trans :premises (@p132 @p119)) % 0.35/0.75 (step @p134 :rule refl :args (@t145)) % 0.35/0.75 (step @p135 :rule refl :args (@t150)) % 0.35/0.75 (step @p136 :rule bool-double-not-elim :args (@t177)) % 0.35/0.75 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((and (not @t178) @t150))) % 0.35/0.75 (step @p138 :rule bool-or-de-morgan :args (@t178 @t149 false)) % 0.35/0.75 (step @p139 :rule trans :premises (@p138 @p137)) % 0.35/0.75 (step @p140 :rule nary_cong :premises (@p139 @p134) :args ((or (not @t179) @t145))) % 0.35/0.75 (step @p141 :rule bool-impl-elim :args (@t179 @t145)) % 0.35/0.75 (step @p142 :rule trans :premises (@p141 @p140)) % 0.35/0.75 (step @p143 :rule cong :premises (@p142) :args ((forall @t73 (=> @t179 @t145)))) % 0.35/0.75 (step @p144 :rule trans :premises (@p143 @p133)) % 0.35/0.75 (step @p145 :rule eq-symm :args (@t64 |tptp.'0'|)) % 0.35/0.75 (step @p146 :rule aci_norm :args ((= (or @t175 (or @t173 @t172)) @t176))) % 0.35/0.75 (step @p147 :rule bool-and-de-morgan :args (@t56 @t171 true)) % 0.35/0.75 (step @p148 :rule refl :args (@t175)) % 0.35/0.75 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or @t175 (not (and @t56 @t171))))) % 0.35/0.75 (step @p150 :rule bool-and-de-morgan :args (@t174 @t56 (and @t171))) % 0.35/0.75 (step @p151 :rule trans :premises (@p150 @p149)) % 0.35/0.75 (step @p152 :rule trans :premises (@p151 @p146)) % 0.35/0.75 (step @p153 :rule cong :premises (@p152) :args (@t181)) % 0.35/0.75 (step @p154 :rule cong :premises (@p153) :args (@t182)) % 0.35/0.75 (step @p155 :rule exists-elim :args ((= (exists @t59 @t180) @t182))) % 0.35/0.75 (step @p156 :rule trans :premises (@p155 @p154)) % 0.35/0.75 (step @p157 :rule bool-impl-elim :args (@t71 @t110)) % 0.35/0.75 (step @p158 :rule cong :premises (@p157) :args (@t111)) % 0.35/0.75 (step @p159 :rule refl :args (@t56)) % 0.35/0.75 (step @p160 :rule eq-symm :args (@t64 @t57)) % 0.35/0.75 (step @p161 :rule nary_cong :premises (@p160 @p159 @p158) :args (@t112)) % 0.35/0.75 (step @p162 :rule cong :premises (@p161) :args (@t113)) % 0.35/0.75 (step @p163 :rule trans :premises (@p162 @p156)) % 0.35/0.75 (step @p164 :rule nary_cong :premises (@p163 @p145) :args (@t114)) % 0.35/0.75 (step @p165 :rule cong :premises (@p164 @p102) :args (@t115)) % 0.35/0.75 (step @p166 :rule cong :premises (@p165) :args (@t116)) % 0.35/0.75 (step @p167 :rule trans :premises (@p166 @p144)) % 0.35/0.75 (step @p168 :rule cong :premises (@p167 @p106) :args (@t117)) % 0.35/0.75 (step @p169 :rule eq_resolve :premises (@p67 @p168)) % 0.35/0.75 (step @p170 :rule implies_elim :premises (@p169)) % 0.35/0.75 (step @p171 :rule reordering :premises (@p170) :args ((or @t133 @t184))) % 0.35/0.75 (step @p172 :rule chain_m_resolution :premises (@p171 @p85) :args (@t184 @t136 (@list @t133))) % 0.35/0.75 (step @p173 :rule skolemize :premises (@p172)) % 0.35/0.75 (step @p174 :rule cnf_or_neg :args (@t203 2)) % 0.35/0.75 (step @p175 :rule chain_m_resolution :premises (@p174 @p173) :args (@t204 @t136 @t205)) % 0.35/0.75 (step @p176 :rule cnf_or_neg :args (@t203 0)) % 0.35/0.75 (step @p177 :rule chain_m_resolution :premises (@p176 @p173) :args ((not @t202) @t136 @t205)) % 0.35/0.75 (step @p178 :rule bool-impl-elim :args (@t67 @t206)) % 0.35/0.75 (step @p179 :rule cong :premises (@p178) :args ((forall @t73 (=> @t67 @t206)))) % 0.35/0.75 (step @p180 :rule eq-symm :args (@t99 |tptp.'0'|)) % 0.35/0.75 (step @p181 :rule cong :premises (@p103 @p180) :args (@t100)) % 0.35/0.75 (step @p182 :rule cong :premises (@p181) :args (@t101)) % 0.35/0.75 (step @p183 :rule trans :premises (@p182 @p179)) % 0.35/0.75 (step @p184 :rule eq_resolve :premises (@p65 @p183)) % 0.35/0.75 (step @p185 :rule instantiate :premises (@p184) :args (@t207)) % 0.35/0.75 (step @p186 :rule bool-double-not-elim :args (@t189)) % 0.35/0.75 (step @p187 :rule refl :args (@t203)) % 0.35/0.75 (step @p188 :rule nary_cong :premises (@p187 @p186) :args ((or @t203 (not @t190)))) % 0.35/0.75 (step @p189 :rule cnf_or_neg :args (@t203 1)) % 0.35/0.75 (step @p190 :rule eq_resolve :premises (@p189 @p188)) % 0.35/0.75 (step @p191 :rule reordering :premises (@p190) :args ((or @t189 @t203))) % 0.35/0.75 (step @p192 :rule chain_m_resolution :premises (@p191 @p173) :args (@t189 @t136 @t205)) % 0.35/0.75 (step @p193 :rule cnf_or_pos :args (@t210)) % 0.35/0.75 (step @p194 :rule reordering :premises (@p193) :args ((or @t190 @t209 (not @t210)))) % 0.35/0.75 (step @p195 :rule chain_m_resolution :premises (@p194 @p192 @p185) :args (@t209 @t211 (@list @t189 @t210))) % 0.35/0.75 (step @p196 :rule bool-impl-elim :args (@t71 @t212)) % 0.35/0.75 (step @p197 :rule cong :premises (@p196) :args ((forall @t85 (=> @t71 @t212)))) % 0.35/0.75 (step @p198 :rule eq-symm :args (@t91 |tptp.'0'|)) % 0.35/0.75 (step @p199 :rule refl :args (@t71)) % 0.35/0.75 (step @p200 :rule cong :premises (@p199 @p198) :args (@t92)) % 0.35/0.75 (step @p201 :rule cong :premises (@p200) :args (@t93)) % 0.35/0.75 (step @p202 :rule trans :premises (@p201 @p197)) % 0.35/0.75 (step @p203 :rule eq_resolve :premises (@p60 @p202)) % 0.35/0.75 (step @p204 :rule instantiate :premises (@p203) :args (@t207)) % 0.35/0.75 (step @p205 :rule cnf_or_pos :args (@t214)) % 0.35/0.75 (step @p206 :rule reordering :premises (@p205) :args ((or @t190 @t213 (not @t214)))) % 0.35/0.75 (step @p207 :rule chain_m_resolution :premises (@p206 @p192 @p204) :args (@t213 @t211 (@list @t189 @t214))) % 0.35/0.75 (assume-push @p381 @t191) % 0.35/0.75 (assume-push @p382 @t213) % 0.35/0.75 (assume-push @p383 @t209) % 0.35/0.75 (assume-push @p384 @t191) % 0.35/0.75 (assume-push @p385 @t209) % 0.35/0.75 (assume-push @p386 @t213) % 0.35/0.75 (step @p214 :rule refl :args (@t186)) % 0.35/0.75 (step @p215 :rule cong :premises (@p214 @p381) :args (@t208)) % 0.35/0.75 (step @p216 :rule symm :premises (@p207)) % 0.35/0.75 (step @p217 :rule symm :premises (@p381)) % 0.35/0.75 (step @p218 :rule cong :premises (@p217 @p214) :args (@t187)) % 0.35/0.75 (step @p219 :rule trans :premises (@p218 @p216 @p195 @p215)) % 0.35/0.75 (step-pop @p387 :rule scope :premises (@p219)) % 0.35/0.75 (step-pop @p388 :rule scope :premises (@p387)) % 0.35/0.75 (step-pop @p389 :rule scope :premises (@p388)) % 0.35/0.75 (step @p220 :rule 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:args (@t105)) % 0.35/0.75 (step @p276 :rule eq_resolve :premises (@p66 @p275)) % 0.35/0.75 (step @p277 :rule instantiate :premises (@p276) :args ((@list @t186 @t193))) % 0.35/0.75 (step @p278 :rule cnf_or_pos :args (@t228)) % 0.35/0.75 (step @p279 :rule reordering :premises (@p278) :args ((or @t197 @t190 @t227 (not @t228)))) % 0.35/0.75 (step @p280 :rule chain_m_resolution :premises (@p279 @p264 @p192 @p277) :args (@t227 @t224 (@list @t196 @t189 @t228))) % 0.35/0.75 (step @p281 :rule bool-double-not-elim :args (@t194)) % 0.35/0.75 (step @p282 :rule nary_cong :premises (@p244 @p281) :args ((or @t201 (not @t195)))) % 0.35/0.75 (step @p283 :rule cnf_or_neg :args (@t201 2)) % 0.35/0.75 (step @p284 :rule eq_resolve :premises (@p283 @p282)) % 0.35/0.75 (step @p285 :rule reordering :premises (@p284) :args ((or @t194 @t201))) % 0.35/0.75 (step @p286 :rule chain_m_resolution :premises (@p285 @p242) :args (@t194 @t136 @t217)) % 0.35/0.75 (assume-push @p393 @t194) % 0.35/0.75 (step @p288 :rule instantiate :premises (@p393) :args (@t207)) % 0.35/0.75 (step-pop @p394 :rule scope :premises (@p288)) % 0.35/0.75 (step @p289 :rule process_scope :premises (@p394) :args (@t230)) % 0.35/0.75 (step @p291 :rule implies_elim :premises (@p289)) % 0.35/0.75 (step @p292 :rule chain_m_resolution :premises (@p291 @p286) :args (@t230 (@list false) (@list @t194))) % 0.35/0.75 (step @p293 :rule cnf_or_pos :args (@t230)) % 0.35/0.75 (step @p294 :rule reordering :premises (@p293) :args ((or @t190 @t229 (not @t230)))) % 0.35/0.75 (step @p295 :rule chain_m_resolution :premises (@p294 @p192 @p292) :args (@t229 @t211 (@list @t189 @t230))) % 0.35/0.75 (step @p296 :rule aci_norm :args ((= (or @t123 @t89) (or @t121 @t120 @t89)))) % 0.35/0.75 (step @p297 :rule refl :args (@t89)) % 0.35/0.75 (step @p298 :rule nary_cong :premises (@p72 @p297) :args ((or @t124 @t89))) % 0.35/0.75 (step @p299 :rule trans :premises (@p298 @p296)) % 0.35/0.75 (step @p300 :rule bool-impl-elim :args (@t72 @t89)) % 0.35/0.75 (step @p301 :rule trans :premises (@p300 @p299)) % 0.35/0.75 (step @p302 :rule cong :premises (@p301) :args (@t90)) % 0.35/0.75 (step @p303 :rule eq_resolve :premises (@p51 @p302)) % 0.35/0.75 (step @p304 :rule instantiate :premises (@p303) :args ((@list @t186 @t219))) % 0.35/0.75 (step @p305 :rule aci_norm :args ((= (or @t123 @t96) (or @t121 @t120 @t96)))) % 0.35/0.75 (step @p306 :rule refl :args (@t96)) % 0.35/0.75 (step @p307 :rule nary_cong :premises (@p72 @p306) :args ((or @t124 @t96))) % 0.35/0.75 (step @p308 :rule trans :premises (@p307 @p305)) % 0.35/0.75 (step @p309 :rule bool-impl-elim :args (@t72 @t96)) % 0.35/0.75 (step @p310 :rule trans :premises (@p309 @p308)) % 0.35/0.75 (step @p311 :rule cong :premises (@p310) :args (@t97)) % 0.35/0.75 (step @p312 :rule eq_resolve :premises (@p62 @p311)) % 0.35/0.75 (step @p313 :rule instantiate :premises (@p312) :args (@t218)) % 0.35/0.75 (step @p314 :rule cnf_or_pos :args (@t232)) % 0.35/0.75 (step @p315 :rule reordering :premises (@p314) :args ((or @t197 @t190 @t231 (not @t232)))) % 0.35/0.75 (step @p316 :rule chain_m_resolution :premises (@p315 @p264 @p192 @p313) :args (@t231 @t224 (@list @t196 @t189 @t232))) % 0.35/0.75 (step @p317 :rule cnf_or_pos :args (@t236)) % 0.35/0.75 (step @p318 :rule reordering :premises (@p317) :args ((or @t190 @t235 @t234 (not @t236)))) % 0.35/0.75 (step @p319 :rule chain_m_resolution :premises (@p318 @p192 @p316 @p304) :args (@t234 @t224 (@list @t189 @t231 @t236))) % 0.35/0.75 (step @p320 :rule refl :args (@t237)) % 0.35/0.75 (step @p321 :rule refl :args (@t238)) % 0.35/0.75 (step @p322 :rule refl :args (@t239)) % 0.35/0.75 (step @p323 :rule refl :args (@t240)) % 0.35/0.75 (step @p324 :rule bool-double-not-elim :args (@t188)) % 0.35/0.75 (step @p325 :rule refl :args (@t200)) % 0.35/0.75 (step @p326 :rule nary_cong :premises (@p325 @p324 @p323 @p322 @p321 @p320) :args ((or @t200 (not @t204) @t240 @t239 @t238 @t237))) % 0.35/0.75 (assume-push @p395 @t237) % 0.35/0.75 (assume-push @p396 @t234) % 0.35/0.75 (step @p329 :rule evaluate :args ((= false true))) % 0.35/0.75 (step @p330 :rule true_intro :premises (@p396)) % 0.35/0.75 (step @p331 :rule false_intro :premises (@p395)) % 0.35/0.75 (step @p332 :rule symm :premises (@p331)) % 0.35/0.75 (step @p333 :rule trans :premises (@p332 @p330)) % 0.35/0.75 (step @p334 false :rule eq_resolve :premises (@p333 @p329)) % 0.35/0.75 (step-pop @p397 :rule scope :premises (@p334)) % 0.35/0.75 (step-pop @p398 :rule scope :premises (@p397)) % 0.35/0.75 (step @p335 :rule process_scope :premises (@p398) :args (false)) % 0.35/0.75 (assume-push @p399 @t199) % 0.35/0.75 (assume-push @p400 @t204) % 0.35/0.75 (assume-push @p401 @t222) % 0.35/0.76 (assume-push @p402 @t227) % 0.35/0.76 (assume-push @p403 @t229) % 0.35/0.76 (assume-push @p404 @t234) % 0.35/0.76 (assume-push @p405 @t199) % 0.35/0.76 (assume-push @p406 @t222) % 0.35/0.76 (assume-push @p407 @t204) % 0.35/0.76 (assume-push @p408 @t227) % 0.35/0.76 (assume-push @p409 @t229) % 0.35/0.76 (step @p349 :rule false_intro :premises (@p175)) % 0.35/0.76 (step @p350 :rule symm :premises (@p399)) % 0.35/0.76 (step @p214 :rule refl :args (@t186)) % 0.35/0.76 (step @p351 :rule cong :premises (@p214 @p350) :args (@t225)) % 0.35/0.76 (step @p352 :rule cong :premises (@p403 @p214) :args (@t233)) % 0.35/0.76 (step @p353 :rule trans :premises (@p352 @p402 @p351)) % 0.35/0.76 (step @p354 :rule cong :premises (@p350 @p214) :args (@t221)) % 0.35/0.76 (step @p355 :rule symm :premises (@p401)) % 0.35/0.76 (step @p356 :rule trans :premises (@p355 @p354)) % 0.35/0.76 (step @p357 :rule cong :premises (@p356 @p353) :args (@t234)) % 0.35/0.76 (step @p358 :rule trans :premises (@p357 @p349)) % 0.35/0.76 (step @p359 :rule false_elim :premises (@p358)) % 0.35/0.76 (step-pop @p410 :rule scope :premises (@p359)) % 0.35/0.76 (step-pop @p411 :rule scope :premises (@p410)) % 0.35/0.76 (step-pop @p412 :rule scope :premises (@p411)) % 0.35/0.76 (step-pop @p413 :rule scope :premises (@p412)) % 0.35/0.76 (step-pop @p414 :rule scope :premises (@p413)) % 0.35/0.76 (step @p360 :rule process_scope :premises (@p414) :args (@t237)) % 0.35/0.76 (step @p366 :rule and_intro :premises (@p399 @p401 @p175 @p402 @p403)) % 0.35/0.76 (step @p367 :rule modus_ponens :premises (@p366 @p360)) % 0.35/0.76 (step @p368 :rule and_intro :premises (@p367 @p404)) % 0.35/0.76 (step-pop @p415 :rule scope :premises (@p368)) % 0.35/0.76 (step-pop @p416 :rule scope :premises (@p415)) % 0.35/0.76 (step-pop @p417 :rule scope :premises (@p416)) % 0.35/0.76 (step-pop @p418 :rule scope :premises (@p417)) % 0.35/0.76 (step-pop @p419 :rule scope :premises (@p418)) % 0.35/0.76 (step-pop @p420 :rule scope :premises (@p419)) % 0.35/0.76 (step @p369 :rule process_scope :premises (@p420) :args (@t241)) % 0.35/0.76 (step @p376 :rule implies_elim :premises (@p369)) % 0.35/0.76 (step @p377 :rule resolution :premises (@p376 @p335) :args (true @t241)) % 0.35/0.76 (step @p378 :rule not_and :premises (@p377)) % 0.35/0.76 (step @p379 :rule eq_resolve :premises (@p378 @p326)) % 0.35/0.76 (step @p380 false :rule chain_m_resolution :premises (@p379 @p319 @p295 @p280 @p267 @p249 @p175) :args (false (@list false false false false false true) (@list @t234 @t229 @t227 @t222 @t199 @t188))) % 0.35/0.76 ) % 0.35/0.76 % SZS output end Proof % 0.35/0.76 % cvc5 exiting %------------------------------------------------------------------------------