%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX072_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 : n011.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 09:07:05 AM UTC 2026 % Result : Theorem 0.71s 0.90s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWX072_1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n011.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 22:55:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_ARI % 0.71/0.90 --- Run --finite-model-find --decision=internal at 45... % 0.71/0.90 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.71/0.90 % SZS status Theorem % 0.71/0.90 % SZS output start Proof % 0.71/0.90 ( % 0.71/0.90 (declare-sort tptp.symbol 0) % 0.71/0.90 (declare-sort tptp.general 0) % 0.71/0.90 (declare-const tptp.p__greater__ (-> tptp.general tptp.general Bool)) % 0.71/0.90 (declare-const tptp.p__greater_equal__ (-> tptp.general tptp.general Bool)) % 0.71/0.90 (declare-const tptp.p__less__ (-> tptp.general tptp.general Bool)) % 0.71/0.90 (declare-const tptp.p__less_equal__ (-> tptp.general tptp.general Bool)) % 0.71/0.90 (declare-const tptp.hp (-> tptp.general Bool)) % 0.71/0.90 (declare-const tptp.c__infimum__ tptp.general) % 0.71/0.90 (declare-const tptp.tp (-> tptp.general Bool)) % 0.71/0.90 (declare-const tptp.c__supremum__ tptp.general) % 0.71/0.90 (declare-const tptp.p__is_symbolic__ (-> tptp.general Bool)) % 0.71/0.90 (declare-const tptp.f__symbolic__ (-> tptp.symbol tptp.general)) % 0.71/0.90 (declare-const tptp.p__is_integer__ (-> tptp.general Bool)) % 0.71/0.90 (declare-const tptp.f__integer__ (-> Int tptp.general)) % 0.71/0.90 (define @t1 () (@var "N" Int)) % 0.71/0.90 (define @t2 () (tptp.f__integer__ @t1)) % 0.71/0.90 (define @t3 () (@var "X" tptp.general)) % 0.71/0.90 (define @t4 () (@list @t1)) % 0.71/0.90 (define @t5 () (tptp.p__is_integer__ @t3)) % 0.71/0.90 (define @t6 () (@list @t3)) % 0.71/0.90 (define @t7 () (@var "X2" tptp.symbol)) % 0.71/0.90 (define @t8 () (@var "X1" tptp.general)) % 0.71/0.90 (define @t9 () (@var "N2" Int)) % 0.71/0.90 (define @t10 () (@var "N1" Int)) % 0.71/0.90 (define @t11 () (tptp.f__integer__ @t9)) % 0.71/0.90 (define @t12 () (tptp.f__integer__ @t10)) % 0.71/0.90 (define @t13 () (@list @t10 @t9)) % 0.71/0.90 (define @t14 () (forall @t13 (= (= @t12 @t11) (= @t10 @t9)))) % 0.71/0.90 (define @t15 () (@var "S2" tptp.symbol)) % 0.71/0.90 (define @t16 () (@var "S1" tptp.symbol)) % 0.71/0.90 (define @t17 () (tptp.p__less_equal__ @t12 @t11)) % 0.71/0.90 (define @t18 () (= @t17 (<= @t10 @t9))) % 0.71/0.90 (define @t19 () (forall @t13 @t18)) % 0.71/0.90 (define @t20 () (@var "X2" tptp.general)) % 0.71/0.90 (define @t21 () (= @t8 @t20)) % 0.71/0.90 (define @t22 () (tptp.p__less_equal__ @t20 @t8)) % 0.71/0.90 (define @t23 () (tptp.p__less_equal__ @t8 @t20)) % 0.71/0.90 (define @t24 () (@list @t8 @t20)) % 0.71/0.90 (define @t25 () (@var "X3" tptp.general)) % 0.71/0.90 (define @t26 () (not @t21)) % 0.71/0.90 (define @t27 () (forall @t24 (= (tptp.p__less__ @t8 @t20) (and @t23 @t26)))) % 0.71/0.90 (define @t28 () (forall @t24 (= (tptp.p__greater__ @t8 @t20) (and @t22 @t26)))) % 0.71/0.90 (define @t29 () (@var "S" tptp.symbol)) % 0.71/0.90 (define @t30 () (tptp.f__symbolic__ @t29)) % 0.71/0.90 (define @t31 () (@var "X1_g" tptp.general)) % 0.71/0.90 (define @t32 () (@var "V1_g" tptp.general)) % 0.71/0.90 (define @t33 () (tptp.tp @t32)) % 0.71/0.90 (define @t34 () (@var "Z1_g" tptp.general)) % 0.71/0.90 (define @t35 () (@var "Z_g" tptp.general)) % 0.71/0.90 (define @t36 () (tptp.p__less__ @t35 @t34)) % 0.71/0.90 (define @t37 () (tptp.f__integer__ 5)) % 0.71/0.90 (define @t38 () (= @t34 @t37)) % 0.71/0.90 (define @t39 () (@var "X_g" tptp.general)) % 0.71/0.90 (define @t40 () (= @t35 @t39)) % 0.71/0.90 (define @t41 () (and @t40 @t38 @t36)) % 0.71/0.90 (define @t42 () (@list @t35 @t34)) % 0.71/0.90 (define @t43 () (exists @t42 @t41)) % 0.71/0.90 (define @t44 () (tptp.p__greater__ @t35 @t34)) % 0.71/0.90 (define @t45 () (tptp.f__integer__ 3)) % 0.71/0.90 (define @t46 () (= @t34 @t45)) % 0.71/0.90 (define @t47 () (and @t40 @t46 @t44)) % 0.71/0.90 (define @t48 () (exists @t42 @t47)) % 0.71/0.90 (define @t49 () (= @t32 @t39)) % 0.71/0.90 (define @t50 () (and @t49 @t48 @t43)) % 0.71/0.90 (define @t51 () (=> @t50 @t33)) % 0.71/0.90 (define @t52 () (tptp.hp @t32)) % 0.71/0.90 (define @t53 () (=> @t50 @t52)) % 0.71/0.90 (define @t54 () (and @t53 @t51)) % 0.71/0.90 (define @t55 () (@list @t32 @t39)) % 0.71/0.90 (define @t56 () (forall @t55 @t54)) % 0.71/0.90 (define @t57 () (tptp.f__integer__ 4)) % 0.71/0.90 (define @t58 () (= @t32 @t57)) % 0.71/0.90 (define @t59 () (and @t58 true)) % 0.71/0.90 (define @t60 () (=> @t59 @t33)) % 0.71/0.90 (define @t61 () (=> @t59 @t52)) % 0.71/0.90 (define @t62 () (and @t61 @t60)) % 0.71/0.90 (define @t63 () (@list @t32)) % 0.71/0.90 (define @t64 () (forall @t63 @t62)) % 0.71/0.90 (define @t65 () (not @t64)) % 0.71/0.90 (define @t66 () (@var "BOUND_VARIABLE_7677" tptp.general)) % 0.71/0.90 (define @t67 () (tptp.tp @t66)) % 0.71/0.90 (define @t68 () (not (tptp.p__less__ @t66 @t37))) % 0.71/0.90 (define @t69 () (not (tptp.p__greater__ @t66 @t45))) % 0.71/0.90 (define @t70 () (not (= @t66 @t66))) % 0.71/0.90 (define @t71 () (or @t70 @t69 @t68 @t67)) % 0.71/0.90 (define @t72 () (@list @t66)) % 0.71/0.90 (define @t73 () (@var "BOUND_VARIABLE_7675" tptp.general)) % 0.71/0.90 (define @t74 () (tptp.tp @t73)) % 0.71/0.90 (define @t75 () (not (= @t73 @t66))) % 0.71/0.90 (define @t76 () (or @t75 @t75 @t69 @t68 @t74)) % 0.71/0.90 (define @t77 () (@list @t73)) % 0.71/0.90 (define @t78 () (or @t75 @t69 @t68 @t74)) % 0.71/0.90 (define @t79 () (forall @t77 @t78)) % 0.71/0.90 (define @t80 () (forall @t72 @t79)) % 0.71/0.90 (define @t81 () (forall (@list @t66 @t73) @t78)) % 0.71/0.90 (define @t82 () (forall (@list @t73 @t66) @t78)) % 0.71/0.90 (define @t83 () (@var "BOUND_VARIABLE_7663" tptp.general)) % 0.71/0.90 (define @t84 () (tptp.hp @t83)) % 0.71/0.90 (define @t85 () (not (tptp.p__less__ @t83 @t37))) % 0.71/0.90 (define @t86 () (not (tptp.p__greater__ @t83 @t45))) % 0.71/0.90 (define @t87 () (not (= @t83 @t83))) % 0.71/0.90 (define @t88 () (or @t87 @t86 @t85 @t84)) % 0.71/0.90 (define @t89 () (@list @t83)) % 0.71/0.90 (define @t90 () (@var "BOUND_VARIABLE_7661" tptp.general)) % 0.71/0.90 (define @t91 () (tptp.hp @t90)) % 0.71/0.90 (define @t92 () (not (= @t90 @t83))) % 0.71/0.90 (define @t93 () (or @t92 @t92 @t86 @t85 @t91)) % 0.71/0.90 (define @t94 () (@list @t90)) % 0.71/0.90 (define @t95 () (or @t92 @t86 @t85 @t91)) % 0.71/0.90 (define @t96 () (forall @t94 @t95)) % 0.71/0.90 (define @t97 () (forall @t89 @t96)) % 0.71/0.90 (define @t98 () (forall (@list @t83 @t90) @t95)) % 0.71/0.90 (define @t99 () (forall (@list @t90 @t83) @t95)) % 0.71/0.90 (define @t100 () (tptp.p__less__ @t39 @t37)) % 0.71/0.90 (define @t101 () (not @t100)) % 0.71/0.90 (define @t102 () (tptp.p__greater__ @t39 @t45)) % 0.71/0.90 (define @t103 () (not @t102)) % 0.71/0.90 (define @t104 () (not @t49)) % 0.71/0.91 (define @t105 () (or @t104 @t103 @t101 @t33)) % 0.71/0.91 (define @t106 () (forall @t55 @t105)) % 0.71/0.91 (define @t107 () (@list @t32 @t39)) % 0.71/0.91 (define @t108 () (or @t104 @t103 @t101 @t52)) % 0.71/0.91 (define @t109 () (forall @t55 @t108)) % 0.71/0.91 (define @t110 () (and @t109 @t106)) % 0.71/0.91 (define @t111 () (or @t104 @t103 @t101)) % 0.71/0.91 (define @t112 () (and @t49 @t102 @t100)) % 0.71/0.91 (define @t113 () (not @t112)) % 0.71/0.91 (define @t114 () (and (=> @t112 @t52) (=> @t112 @t33))) % 0.71/0.91 (define @t115 () (not (= @t37 @t37))) % 0.71/0.91 (define @t116 () (or @t115 @t101)) % 0.71/0.91 (define @t117 () (not (tptp.p__less__ @t39 @t34))) % 0.71/0.91 (define @t118 () (not @t38)) % 0.71/0.91 (define @t119 () (or @t118 @t118 @t117)) % 0.71/0.91 (define @t120 () (@list @t34)) % 0.71/0.91 (define @t121 () (or @t118 @t117)) % 0.71/0.91 (define @t122 () (not (= @t39 @t39))) % 0.71/0.91 (define @t123 () (or @t122 @t118 @t117)) % 0.71/0.91 (define @t124 () (not @t36)) % 0.71/0.91 (define @t125 () (= @t39 @t35)) % 0.71/0.91 (define @t126 () (not @t125)) % 0.71/0.91 (define @t127 () (not @t40)) % 0.71/0.91 (define @t128 () (@list @t35)) % 0.71/0.91 (define @t129 () (or @t126 @t126 @t118 @t124)) % 0.71/0.91 (define @t130 () (or @t126 @t118 @t124)) % 0.71/0.91 (define @t131 () (forall @t128 @t130)) % 0.71/0.91 (define @t132 () (forall @t120 @t131)) % 0.71/0.91 (define @t133 () (@list @t34 @t35)) % 0.71/0.91 (define @t134 () (forall @t133 @t130)) % 0.71/0.91 (define @t135 () (and @t125 @t38 @t36)) % 0.71/0.91 (define @t136 () (forall @t42 (not @t135))) % 0.71/0.91 (define @t137 () (not @t136)) % 0.71/0.91 (define @t138 () (not (= @t45 @t45))) % 0.71/0.91 (define @t139 () (or @t138 @t103)) % 0.71/0.91 (define @t140 () (not (tptp.p__greater__ @t39 @t34))) % 0.71/0.91 (define @t141 () (not @t46)) % 0.71/0.91 (define @t142 () (or @t141 @t141 @t140)) % 0.71/0.91 (define @t143 () (or @t141 @t140)) % 0.71/0.91 (define @t144 () (or @t122 @t141 @t140)) % 0.71/0.91 (define @t145 () (not @t44)) % 0.71/0.91 (define @t146 () (or @t126 @t126 @t141 @t145)) % 0.71/0.91 (define @t147 () (or @t126 @t141 @t145)) % 0.71/0.91 (define @t148 () (forall @t128 @t147)) % 0.71/0.91 (define @t149 () (forall @t120 @t148)) % 0.71/0.91 (define @t150 () (forall @t133 @t147)) % 0.71/0.91 (define @t151 () (and @t125 @t46 @t44)) % 0.71/0.91 (define @t152 () (forall @t42 (not @t151))) % 0.71/0.91 (define @t153 () (not @t152)) % 0.71/0.91 (define @t154 () (@list @t57)) % 0.71/0.91 (define @t155 () (= @t57 @t37)) % 0.71/0.91 (define @t156 () (not @t155)) % 0.71/0.91 (define @t157 () (tptp.p__less_equal__ @t57 @t37)) % 0.71/0.91 (define @t158 () (and @t157 @t156)) % 0.71/0.91 (define @t159 () (tptp.p__less__ @t57 @t37)) % 0.71/0.91 (define @t160 () (= @t159 @t158)) % 0.71/0.91 (define @t161 () (= @t37 @t57)) % 0.71/0.91 (define @t162 () (not @t161)) % 0.71/0.91 (define @t163 () (and @t157 @t162)) % 0.71/0.91 (define @t164 () (= @t159 @t163)) % 0.71/0.91 (define @t165 () (@list false)) % 0.71/0.91 (define @t166 () (+ @t10 (* -1 @t9))) % 0.71/0.91 (define @t167 () (+ @t9 1)) % 0.71/0.91 (define @t168 () (>= @t166 1)) % 0.71/0.91 (define @t169 () (>= @t10 @t167)) % 0.71/0.91 (define @t170 () (* -1 5)) % 0.71/0.91 (define @t171 () (+ 4 @t170)) % 0.71/0.91 (define @t172 () (>= @t171 1)) % 0.71/0.91 (define @t173 () (not @t172)) % 0.71/0.91 (define @t174 () (= @t157 @t173)) % 0.71/0.91 (define @t175 () (forall @t13 (= @t17 (not @t168)))) % 0.71/0.91 (define @t176 () (@list 4 5)) % 0.71/0.91 (define @t177 () (@list @t175)) % 0.71/0.91 (define @t178 () (= 4 5)) % 0.71/0.91 (define @t179 () (= @t155 @t178)) % 0.71/0.91 (define @t180 () (@list @t14)) % 0.71/0.91 (define @t181 () (not @t157)) % 0.71/0.91 (define @t182 () (@list true false)) % 0.71/0.91 (define @t183 () (@list false false)) % 0.71/0.91 (define @t184 () (= @t57 @t45)) % 0.71/0.91 (define @t185 () (not @t184)) % 0.71/0.91 (define @t186 () (tptp.p__less_equal__ @t45 @t57)) % 0.71/0.91 (define @t187 () (and @t186 @t185)) % 0.71/0.91 (define @t188 () (tptp.p__greater__ @t57 @t45)) % 0.71/0.91 (define @t189 () (= @t188 @t187)) % 0.71/0.91 (define @t190 () (= @t45 @t57)) % 0.71/0.91 (define @t191 () (not @t190)) % 0.71/0.91 (define @t192 () (and @t186 @t191)) % 0.71/0.91 (define @t193 () (= @t188 @t192)) % 0.71/0.91 (define @t194 () (* -1 4)) % 0.71/0.91 (define @t195 () (+ 3 @t194)) % 0.71/0.91 (define @t196 () (>= @t195 1)) % 0.71/0.91 (define @t197 () (not @t196)) % 0.71/0.91 (define @t198 () (= @t186 @t197)) % 0.71/0.91 (define @t199 () (= 4 3)) % 0.71/0.91 (define @t200 () (= @t184 @t199)) % 0.71/0.91 (define @t201 () (not @t186)) % 0.71/0.91 (define @t202 () (tptp.hp @t57)) % 0.71/0.91 (define @t203 () (not @t159)) % 0.71/0.91 (define @t204 () (not @t188)) % 0.71/0.91 (define @t205 () (or @t204 @t203 @t202)) % 0.71/0.91 (define @t206 () (@list false false false)) % 0.71/0.91 (define @t207 () (tptp.tp @t57)) % 0.71/0.91 (define @t208 () (or @t204 @t203 @t207)) % 0.71/0.91 (define @t209 () (not (= @t57 @t57))) % 0.71/0.91 (define @t210 () (or @t209 @t207)) % 0.71/0.91 (define @t211 () (@var "BOUND_VARIABLE_7727" tptp.general)) % 0.71/0.91 (define @t212 () (tptp.tp @t211)) % 0.71/0.91 (define @t213 () (not (= @t57 @t211))) % 0.71/0.91 (define @t214 () (not (= @t211 @t57))) % 0.71/0.91 (define @t215 () (@list @t211)) % 0.71/0.91 (define @t216 () (or @t213 @t213 @t212)) % 0.71/0.91 (define @t217 () (or @t213 @t212)) % 0.71/0.91 (define @t218 () (or @t214 @t212)) % 0.71/0.91 (define @t219 () (forall @t215 @t218)) % 0.71/0.91 (define @t220 () (or @t209 @t202)) % 0.71/0.91 (define @t221 () (@var "BOUND_VARIABLE_7719" tptp.general)) % 0.71/0.91 (define @t222 () (tptp.hp @t221)) % 0.71/0.91 (define @t223 () (not (= @t57 @t221))) % 0.71/0.91 (define @t224 () (not (= @t221 @t57))) % 0.71/0.91 (define @t225 () (@list @t221)) % 0.71/0.91 (define @t226 () (or @t223 @t223 @t222)) % 0.71/0.91 (define @t227 () (or @t223 @t222)) % 0.71/0.91 (define @t228 () (or @t224 @t222)) % 0.71/0.91 (define @t229 () (forall @t225 @t228)) % 0.71/0.91 (define @t230 () (not @t58)) % 0.71/0.91 (define @t231 () (or @t230 @t33)) % 0.71/0.91 (define @t232 () (forall @t63 @t231)) % 0.71/0.91 (define @t233 () (@list @t32)) % 0.71/0.91 (define @t234 () (or @t230 @t52)) % 0.71/0.91 (define @t235 () (forall @t63 @t234)) % 0.71/0.91 (define @t236 () (and @t235 @t232)) % 0.71/0.91 (define @t237 () (and (=> @t58 @t52) (=> @t58 @t33))) % 0.71/0.91 (assume @p1 (forall @t6 (= @t5 (exists @t4 (= @t3 @t2))))) % 0.71/0.91 (assume @p2 (forall (@list @t8) (= (tptp.p__is_symbolic__ @t8) (exists (@list @t7) (= @t8 (tptp.f__symbolic__ @t7)))))) % 0.71/0.91 (assume @p3 (forall @t6 (or (= @t3 tptp.c__infimum__) @t5 (tptp.p__is_symbolic__ @t3) (= @t3 tptp.c__supremum__)))) % 0.71/0.91 (assume @p4 @t14) % 0.71/0.91 (assume @p5 (forall (@list @t16 @t15) (= (= (tptp.f__symbolic__ @t16) (tptp.f__symbolic__ @t15)) (= @t16 @t15)))) % 0.71/0.91 (assume @p6 @t19) % 0.71/0.91 (assume @p7 (forall @t24 (=> (and @t23 @t22) @t21))) % 0.71/0.91 (assume @p8 (forall (@list @t8 @t20 @t25) (=> (and @t23 (tptp.p__less_equal__ @t20 @t25)) (tptp.p__less_equal__ @t8 @t25)))) % 0.71/0.91 (assume @p9 (forall @t24 (or @t23 @t22))) % 0.71/0.91 (assume @p10 @t27) % 0.71/0.91 (assume @p11 (forall @t24 (= (tptp.p__greater_equal__ @t8 @t20) @t22))) % 0.71/0.91 (assume @p12 @t28) % 0.71/0.91 (assume @p13 (forall @t4 (tptp.p__less__ tptp.c__infimum__ @t2))) % 0.71/0.91 (assume @p14 (forall (@list @t1 @t29) (tptp.p__less__ @t2 @t30))) % 0.71/0.91 (assume @p15 (forall (@list @t29) (tptp.p__less__ @t30 tptp.c__supremum__))) % 0.71/0.91 (assume @p16 (forall (@list @t31) (=> (tptp.hp @t31) (tptp.tp @t31)))) % 0.71/0.91 (assume @p17 @t56) % 0.71/0.91 (assume @p18 @t65) % 0.71/0.91 (assume @p19 true) % 0.71/0.91 (step @p20 :rule aci_norm :args ((= (or false @t69 @t68 @t67) (or @t69 @t68 @t67)))) % 0.71/0.91 (step @p21 :rule refl :args (@t67)) % 0.71/0.91 (step @p22 :rule refl :args (@t68)) % 0.71/0.91 (step @p23 :rule refl :args (@t69)) % 0.71/0.91 (step @p24 :rule evaluate :args ((not true))) % 0.71/0.91 (step @p25 :rule eq-refl :args (@t66)) % 0.71/0.91 (step @p26 :rule cong :premises (@p25) :args (@t70)) % 0.71/0.91 (step @p27 :rule trans :premises (@p26 @p24)) % 0.71/0.91 (step @p28 :rule nary_cong :premises (@p27 @p23 @p22 @p21) :args (@t71)) % 0.71/0.91 (step @p29 :rule trans :premises (@p28 @p20)) % 0.71/0.91 (step @p30 :rule cong :premises (@p29) :args ((forall @t72 @t71))) % 0.71/0.91 (step @p31 :rule quant-var-elim-eq :args ((= (forall @t77 @t76) @t71))) % 0.71/0.91 (step @p32 :rule aci_norm :args ((= @t78 @t76))) % 0.71/0.91 (step @p33 :rule cong :premises (@p32) :args (@t79)) % 0.71/0.91 (step @p34 :rule trans :premises (@p33 @p31)) % 0.71/0.91 (step @p35 :rule cong 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(step @p273 :rule refl :args (@t181)) % 0.71/0.91 (step @p274 :rule refl :args (@t163)) % 0.71/0.91 (step @p275 :rule nary_cong :premises (@p274 @p273 @p272) :args ((or @t163 @t181 (not @t162)))) % 0.71/0.91 (step @p276 :rule cnf_and_neg :args (@t163)) % 0.71/0.91 (step @p277 :rule eq_resolve :premises (@p276 @p275)) % 0.71/0.91 (step @p278 :rule reordering :premises (@p277) :args ((or @t161 @t163 @t181))) % 0.71/0.91 (step @p279 :rule chain_m_resolution :premises (@p278 @p271 @p258) :args (@t163 @t182 (@list @t161 @t157))) % 0.71/0.91 (step @p280 :rule cnf_equiv_pos2 :args (@t164)) % 0.71/0.91 (step @p281 :rule reordering :premises (@p280) :args ((or @t159 (not @t163) (not @t164)))) % 0.71/0.91 (step @p282 :rule chain_m_resolution :premises (@p281 @p279 @p225) :args (@t159 @t183 (@list @t163 @t164))) % 0.71/0.91 (step @p283 :rule eq-symm :args (@t57 @t45)) % 0.71/0.91 (step @p284 :rule cong :premises (@p283) :args (@t185)) % 0.71/0.91 (step @p285 :rule refl :args (@t186)) % 0.71/0.91 (step @p286 :rule nary_cong :premises (@p285 @p284) :args (@t187)) % 0.71/0.91 (step @p287 :rule refl :args (@t188)) % 0.71/0.91 (step @p288 :rule cong :premises (@p287 @p286) :args (@t189)) % 0.71/0.91 (step @p289 :rule refl :args (@t28)) % 0.71/0.91 (step @p290 :rule cong :premises (@p289 @p288) :args ((=> @t28 @t189))) % 0.71/0.91 (assume-push @p422 @t28) % 0.71/0.91 (step @p292 :rule instantiate :premises (@p12) :args ((@list @t57 @t45))) % 0.71/0.91 (step-pop @p423 :rule scope :premises (@p292)) % 0.71/0.91 (step @p293 :rule process_scope :premises (@p423) :args (@t189)) % 0.71/0.91 (step @p295 :rule eq_resolve :premises (@p293 @p290)) % 0.71/0.91 (step @p296 :rule implies_elim :premises (@p295)) % 0.71/0.91 (step @p297 :rule chain_m_resolution :premises (@p296 @p12) :args (@t193 @t165 (@list @t28))) % 0.71/0.91 (step @p298 :rule bool-eq-true :args (@t186)) % 0.71/0.91 (step @p299 :rule evaluate :args ((+ 3 -4))) % 0.71/0.91 (step @p300 :rule evaluate :args (@t194)) % 0.71/0.91 (step @p301 :rule refl :args (3)) % 0.71/0.91 (step @p302 :rule nary_cong :premises (@p301 @p300) :args (@t195)) % 0.71/0.91 (step @p303 :rule trans :premises (@p302 @p299)) % 0.71/0.91 (step @p304 :rule cong :premises (@p303 @p238) :args (@t196)) % 0.71/0.91 (step @p305 :rule trans :premises (@p304 @p237)) % 0.71/0.91 (step @p306 :rule cong :premises (@p305) :args (@t197)) % 0.71/0.91 (step @p307 :rule trans :premises (@p306 @p236)) % 0.71/0.91 (step @p308 :rule cong :premises (@p285 @p307) :args (@t198)) % 0.71/0.91 (step @p309 :rule trans :premises (@p308 @p298)) % 0.71/0.91 (step @p310 :rule cong :premises (@p250 @p309) :args ((=> @t175 @t198))) % 0.71/0.91 (assume-push @p424 @t175) % 0.71/0.91 (step @p312 :rule instantiate :premises (@p234) :args ((@list 3 4))) % 0.71/0.91 (step-pop @p425 :rule scope :premises (@p312)) % 0.71/0.91 (step @p313 :rule process_scope :premises (@p425) :args (@t198)) % 0.71/0.91 (step @p315 :rule eq_resolve :premises (@p313 @p310)) % 0.71/0.91 (step 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bool-double-not-elim :args (@t190)) % 0.71/0.91 (step @p331 :rule refl :args (@t201)) % 0.71/0.91 (step @p332 :rule refl :args (@t192)) % 0.71/0.91 (step @p333 :rule nary_cong :premises (@p332 @p331 @p330) :args ((or @t192 @t201 (not @t191)))) % 0.71/0.91 (step @p334 :rule cnf_and_neg :args (@t192)) % 0.71/0.91 (step @p335 :rule eq_resolve :premises (@p334 @p333)) % 0.71/0.91 (step @p336 :rule reordering :premises (@p335) :args ((or @t190 @t192 @t201))) % 0.71/0.91 (step @p337 :rule chain_m_resolution :premises (@p336 @p329 @p317) :args (@t192 @t182 (@list @t190 @t186))) % 0.71/0.91 (step @p338 :rule cnf_equiv_pos2 :args (@t193)) % 0.71/0.91 (step @p339 :rule reordering :premises (@p338) :args ((or @t188 (not @t192) (not @t193)))) % 0.71/0.91 (step @p340 :rule chain_m_resolution :premises (@p339 @p337 @p297) :args (@t188 @t183 (@list @t192 @t193))) % 0.71/0.91 (step @p341 :rule cnf_or_pos :args (@t205)) % 0.71/0.91 (step @p342 :rule reordering :premises (@p341) :args ((or @t202 @t204 @t203 (not @t205)))) % 0.71/0.91 (step @p343 :rule chain_m_resolution :premises (@p342 @p340 @p282 @p210) :args (@t202 @t206 (@list @t188 @t159 @t205))) % 0.71/0.91 (step @p344 :rule and_elim :premises (@p208) :args (1)) % 0.71/0.91 (step @p345 :rule instantiate :premises (@p344) :args (@t154)) % 0.71/0.91 (step @p346 :rule cnf_or_pos :args (@t208)) % 0.71/0.91 (step @p347 :rule reordering :premises (@p346) :args ((or @t207 @t204 @t203 (not @t208)))) % 0.71/0.91 (step @p348 :rule chain_m_resolution :premises (@p347 @p340 @p282 @p345) :args (@t207 @t206 (@list @t188 @t159 @t208))) % 0.71/0.91 (step @p349 :rule aci_norm :args ((= (or false @t207) @t207))) % 0.71/0.91 (step @p350 :rule refl :args (@t207)) % 0.71/0.91 (step @p351 :rule eq-refl :args (@t57)) % 0.71/0.91 (step @p352 :rule cong :premises (@p351) :args (@t209)) % 0.71/0.91 (step @p353 :rule trans :premises (@p352 @p24)) % 0.71/0.91 (step @p354 :rule nary_cong :premises (@p353 @p350) :args (@t210)) % 0.71/0.91 (step @p355 :rule trans :premises (@p354 @p349)) % 0.71/0.91 (step @p356 :rule quant-var-elim-eq :args ((= (forall @t215 (or @t214 @t213 @t212)) @t210))) % 0.71/0.91 (step @p357 :rule refl :args (@t212)) % 0.71/0.91 (step @p358 :rule refl :args (@t213)) % 0.71/0.91 (step @p359 :rule eq-symm :args (@t57 @t211)) % 0.71/0.91 (step @p360 :rule cong :premises (@p359) :args (@t213)) % 0.71/0.91 (step @p361 :rule nary_cong :premises (@p360 @p358 @p357) :args (@t216)) % 0.71/0.91 (step @p362 :rule aci_norm :args ((= @t217 @t216))) % 0.71/0.91 (step @p363 :rule trans :premises (@p362 @p361)) % 0.71/0.91 (step @p364 :rule cong :premises (@p363) :args ((forall @t215 @t217))) % 0.71/0.91 (step @p365 :rule trans :premises (@p364 @p356)) % 0.71/0.91 (step @p366 :rule trans :premises (@p365 @p355)) % 0.71/0.91 (step @p367 :rule refl :args (@t212)) % 0.71/0.91 (step @p368 :rule eq-symm :args (@t211 @t57)) % 0.71/0.91 (step @p369 :rule cong :premises (@p368) :args (@t214)) % 0.71/0.91 (step @p370 :rule nary_cong :premises (@p369 @p367) :args (@t218)) % 0.71/0.91 (step @p371 :rule cong :premises (@p370) :args (@t219)) % 0.71/0.91 (step @p372 :rule trans :premises (@p371 @p366)) % 0.71/0.91 (step @p373 :rule aci_norm :args ((= (or false @t202) @t202))) % 0.71/0.91 (step @p374 :rule refl :args (@t202)) % 0.71/0.91 (step @p375 :rule nary_cong :premises (@p353 @p374) :args (@t220)) % 0.71/0.91 (step @p376 :rule trans :premises (@p375 @p373)) % 0.71/0.91 (step @p377 :rule quant-var-elim-eq :args ((= (forall @t225 (or @t224 @t223 @t222)) @t220))) % 0.71/0.91 (step @p378 :rule refl :args (@t222)) % 0.71/0.91 (step @p379 :rule refl :args (@t223)) % 0.71/0.91 (step @p380 :rule eq-symm :args (@t57 @t221)) % 0.71/0.91 (step @p381 :rule cong :premises (@p380) :args (@t223)) % 0.71/0.91 (step @p382 :rule nary_cong :premises (@p381 @p379 @p378) :args (@t226)) % 0.71/0.91 (step @p383 :rule aci_norm :args ((= @t227 @t226))) % 0.71/0.91 (step @p384 :rule trans :premises (@p383 @p382)) % 0.71/0.91 (step @p385 :rule cong :premises (@p384) :args ((forall @t225 @t227))) % 0.71/0.91 (step @p386 :rule trans :premises (@p385 @p377)) % 0.71/0.91 (step @p387 :rule trans :premises (@p386 @p376)) % 0.71/0.91 (step @p388 :rule refl :args (@t222)) % 0.71/0.91 (step @p389 :rule eq-symm :args (@t221 @t57)) % 0.71/0.91 (step @p390 :rule cong :premises (@p389) :args (@t224)) % 0.71/0.91 (step @p391 :rule nary_cong :premises (@p390 @p388) :args (@t228)) % 0.71/0.91 (step @p392 :rule cong :premises (@p391) :args (@t229)) % 0.71/0.91 (step @p393 :rule trans :premises (@p392 @p387)) % 0.71/0.91 (step @p394 :rule nary_cong :premises (@p393 @p372) :args ((and @t229 @t219))) % 0.71/0.91 (step @p395 :rule alpha_equiv :args (@t232 @t233 (@list @t211))) % 0.71/0.91 (step @p396 :rule alpha_equiv :args (@t235 @t233 (@list @t221))) % 0.71/0.91 (step @p397 :rule nary_cong :premises (@p396 @p395) :args (@t236)) % 0.71/0.91 (step @p398 :rule quant-miniscope-and :args ((= (forall @t63 (and @t234 @t231)) @t236))) % 0.71/0.91 (step @p399 :rule trans :premises (@p398 @p397)) % 0.71/0.91 (step @p400 :rule trans :premises (@p399 @p394)) % 0.71/0.91 (step @p401 :rule bool-impl-elim :args (@t58 @t33)) % 0.71/0.91 (step @p402 :rule bool-impl-elim :args (@t58 @t52)) % 0.71/0.91 (step @p403 :rule nary_cong :premises (@p402 @p401) :args (@t237)) % 0.71/0.91 (step @p404 :rule cong :premises (@p403) :args ((forall @t63 @t237))) % 0.71/0.91 (step @p405 :rule trans :premises (@p404 @p400)) % 0.71/0.91 (step @p406 :rule aci_norm :args ((= @t59 @t58))) % 0.71/0.91 (step @p407 :rule cong :premises (@p406 @p90) :args (@t60)) % 0.71/0.91 (step @p408 :rule cong :premises (@p406 @p203) :args (@t61)) % 0.71/0.91 (step @p409 :rule nary_cong :premises (@p408 @p407) :args (@t62)) % 0.71/0.91 (step @p410 :rule cong :premises (@p409) :args (@t64)) % 0.71/0.91 (step @p411 :rule trans :premises (@p410 @p405)) % 0.71/0.91 (step @p412 :rule cong :premises (@p411) :args (@t65)) % 0.71/0.91 (step @p413 :rule eq_resolve :premises (@p18 @p412)) % 0.71/0.91 (step @p414 :rule not_and :premises (@p413)) % 0.71/0.91 (step @p415 false :rule chain_m_resolution :premises (@p414 @p348 @p343) :args (false @t183 (@list @t207 @t202))) % 0.71/0.91 ) % 0.71/0.91 % SZS output end Proof % 0.71/0.91 % cvc5 exiting %------------------------------------------------------------------------------