%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV034^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:55:21 AM UTC 2026 % Result : Theorem 0.62s 0.80s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV034^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 18:10:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.48 %----Proving TH0 % 0.62/0.80 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.62/0.80 % SZS status Theorem % 0.62/0.80 % SZS output start Proof % 0.62/0.80 ( % 0.62/0.80 (declare-sort tptp.a 0) % 0.62/0.80 (declare-sort tptp.b 0) % 0.62/0.80 (define @t1 () (@var "Xy" tptp.a)) % 0.62/0.80 (define @t2 () (@var "Xg" (-> tptp.a tptp.b))) % 0.62/0.80 (define @t3 () (_ @t2 @t1)) % 0.62/0.80 (define @t4 () (@var "Xx" tptp.a)) % 0.62/0.80 (define @t5 () (@var "Xf" (-> tptp.a tptp.b))) % 0.62/0.80 (define @t6 () (_ @t5 @t4)) % 0.62/0.80 (define @t7 () (@var "Xq" (-> tptp.a tptp.b tptp.b Bool))) % 0.62/0.80 (define @t8 () (_ @t7 @t4)) % 0.62/0.80 (define @t9 () (_ @t8 @t6)) % 0.62/0.80 (define @t10 () (_ @t9 @t3)) % 0.62/0.80 (define @t11 () (@var "Xp" (-> tptp.a tptp.a Bool))) % 0.62/0.80 (define @t12 () (_ @t11 @t4)) % 0.62/0.80 (define @t13 () (_ @t12 @t1)) % 0.62/0.80 (define @t14 () (@list @t4 @t1)) % 0.62/0.80 (define @t15 () (forall @t14 (=> @t13 @t10))) % 0.62/0.80 (define @t16 () (= @t8 (_ @t7 @t1))) % 0.62/0.80 (define @t17 () (@var "Xz" tptp.b)) % 0.62/0.80 (define @t18 () (@var "Xx0" tptp.b)) % 0.62/0.80 (define @t19 () (_ @t8 @t18)) % 0.62/0.80 (define @t20 () (_ @t19 @t17)) % 0.62/0.80 (define @t21 () (@var "Xy0" tptp.b)) % 0.62/0.80 (define @t22 () (_ @t8 @t21)) % 0.62/0.80 (define @t23 () (_ @t22 @t17)) % 0.62/0.80 (define @t24 () (_ @t19 @t21)) % 0.62/0.80 (define @t25 () (and @t24 @t23)) % 0.62/0.80 (define @t26 () (@list @t18 @t21 @t17)) % 0.62/0.80 (define @t27 () (forall @t26 (=> @t25 @t20))) % 0.62/0.80 (define @t28 () (_ @t22 @t18)) % 0.62/0.80 (define @t29 () (@list @t18 @t21)) % 0.62/0.80 (define @t30 () (forall @t29 (=> @t24 @t28))) % 0.62/0.80 (define @t31 () (and @t30 @t27 @t16)) % 0.62/0.80 (define @t32 () (=> @t13 @t31)) % 0.62/0.80 (define @t33 () (forall @t14 @t32)) % 0.62/0.80 (define @t34 () (=> @t33 @t15)) % 0.62/0.80 (define @t35 () (@var "Xz" tptp.a)) % 0.62/0.80 (define @t36 () (_ @t12 @t35)) % 0.62/0.80 (define @t37 () (_ @t11 @t1)) % 0.62/0.80 (define @t38 () (_ @t37 @t35)) % 0.62/0.80 (define @t39 () (and @t13 @t38)) % 0.62/0.80 (define @t40 () (@list @t4 @t1 @t35)) % 0.62/0.80 (define @t41 () (forall @t40 (=> @t39 @t36))) % 0.62/0.80 (define @t42 () (_ @t37 @t4)) % 0.62/0.80 (define @t43 () (forall @t14 (=> @t13 @t42))) % 0.62/0.80 (define @t44 () (and @t43 @t41 (= @t11 @t11))) % 0.62/0.80 (define @t45 () (=> @t44 @t34)) % 0.62/0.80 (define @t46 () (_ @t5 @t1)) % 0.62/0.80 (define @t47 () (_ @t9 @t46)) % 0.62/0.80 (define @t48 () (forall @t14 (=> @t13 @t47))) % 0.62/0.80 (define @t49 () (=> @t48 @t45)) % 0.62/0.80 (define @t50 () (_ @t2 @t4)) % 0.62/0.80 (define @t51 () (_ @t9 @t50)) % 0.62/0.80 (define @t52 () (_ @t12 @t4)) % 0.62/0.80 (define @t53 () (@list @t4)) % 0.62/0.80 (define @t54 () (forall @t53 (=> @t52 @t51))) % 0.62/0.80 (define @t55 () (=> @t54 @t49)) % 0.62/0.80 (define @t56 () (@list @t11 @t7 @t5 @t2)) % 0.62/0.80 (define @t57 () (forall @t56 @t55)) % 0.62/0.80 (define @t58 () (not @t57)) % 0.62/0.80 (define @t59 () (@var "BOUND_VARIABLE_7595" tptp.a)) % 0.62/0.80 (define @t60 () (@var "BOUND_VARIABLE_7593" tptp.a)) % 0.62/0.80 (define @t61 () (_ @t7 @t60 (_ @t5 @t60) (_ @t2 @t59))) % 0.62/0.80 (define @t62 () (not (_ @t11 @t60 @t59))) % 0.62/0.80 (define @t63 () (@var "BOUND_VARIABLE_7557" tptp.b)) % 0.62/0.80 (define @t64 () (@var "BOUND_VARIABLE_7553" tptp.b)) % 0.62/0.80 (define @t65 () (@var "BOUND_VARIABLE_7555" tptp.b)) % 0.62/0.80 (define @t66 () (or (not (_ @t7 @t4 @t64 @t65)) (not (_ @t7 @t4 @t65 @t63)) (_ @t7 @t4 @t64 @t63))) % 0.62/0.80 (define @t67 () (@var "BOUND_VARIABLE_7545" tptp.b)) % 0.62/0.80 (define @t68 () (@var "BOUND_VARIABLE_7547" tptp.b)) % 0.62/0.80 (define @t69 () (or (not (_ @t7 @t4 @t67 @t68)) (_ @t7 @t4 @t68 @t67))) % 0.62/0.80 (define @t70 () (and @t69 @t66 @t16)) % 0.62/0.80 (define @t71 () (_ @t11 @t4 @t1)) % 0.62/0.80 (define @t72 () (not @t71)) % 0.62/0.80 (define @t73 () (or @t72 @t70)) % 0.62/0.80 (define @t74 () (@list @t4 @t1 @t67 @t68 @t64 @t65 @t63)) % 0.62/0.80 (define @t75 () (forall @t74 @t73)) % 0.62/0.80 (define @t76 () (not @t75)) % 0.62/0.80 (define @t77 () (_ @t11 @t4 @t35)) % 0.62/0.80 (define @t78 () (_ @t11 @t1 @t35)) % 0.62/0.80 (define @t79 () (forall @t40 (or @t72 (not @t78) @t77))) % 0.62/0.80 (define @t80 () (not @t79)) % 0.62/0.80 (define @t81 () (_ @t11 @t1 @t4)) % 0.62/0.80 (define @t82 () (forall @t14 (or @t72 @t81))) % 0.62/0.80 (define @t83 () (not @t82)) % 0.62/0.80 (define @t84 () (_ @t5 @t1)) % 0.62/0.80 (define @t85 () (_ @t5 @t4)) % 0.62/0.80 (define @t86 () (_ @t7 @t4 @t85 @t84)) % 0.62/0.80 (define @t87 () (forall @t14 (or @t72 @t86))) % 0.62/0.80 (define @t88 () (not @t87)) % 0.62/0.80 (define @t89 () (_ @t2 @t4)) % 0.62/0.80 (define @t90 () (_ @t7 @t4 @t85 @t89)) % 0.62/0.80 (define @t91 () (_ @t11 @t4 @t4)) % 0.62/0.80 (define @t92 () (forall @t53 (or (not @t91) @t90))) % 0.62/0.80 (define @t93 () (not @t92)) % 0.62/0.80 (define @t94 () (or @t93 @t88 @t83 @t80 @t76 @t62 @t61)) % 0.62/0.80 (define @t95 () (or @t62 @t61)) % 0.62/0.80 (define @t96 () (or @t93 @t88 @t83 @t80 @t76 @t95)) % 0.62/0.80 (define @t97 () (@list @t11 @t7 @t5 @t2 @t60 @t59)) % 0.62/0.80 (define @t98 () (forall @t97 @t96)) % 0.62/0.80 (define @t99 () (@list @t60 @t59)) % 0.62/0.80 (define @t100 () (forall @t99 @t96)) % 0.62/0.80 (define @t101 () (forall @t99 @t95)) % 0.62/0.80 (define @t102 () (or @t93 @t88 @t83 @t80 @t76 @t101)) % 0.62/0.80 (define @t103 () (_ @t2 @t1)) % 0.62/0.80 (define @t104 () (_ @t7 @t4 @t85 @t103)) % 0.62/0.80 (define @t105 () (forall @t14 (or @t72 @t104))) % 0.62/0.80 (define @t106 () (or @t93 @t88 @t83 @t80 @t76 @t105)) % 0.62/0.80 (define @t107 () (or @t88 @t83 @t80 @t76 @t105)) % 0.62/0.80 (define @t108 () (or @t83 @t80 @t76 @t105)) % 0.62/0.80 (define @t109 () (=> @t75 @t105)) % 0.62/0.80 (define @t110 () (and @t82 @t79)) % 0.62/0.80 (define @t111 () (=> @t110 @t109)) % 0.62/0.80 (define @t112 () (=> @t87 @t111)) % 0.62/0.80 (define @t113 () (_ @t8 @t85)) % 0.62/0.80 (define @t114 () (not @t13)) % 0.62/0.80 (define @t115 () (or @t114 @t10)) % 0.62/0.80 (define @t116 () (@list @t67 @t68 @t64 @t65 @t63)) % 0.62/0.80 (define @t117 () (forall @t116 @t73)) % 0.62/0.80 (define @t118 () (forall @t116 @t16)) % 0.62/0.80 (define @t119 () (forall (@list @t64 @t65 @t63) @t66)) % 0.62/0.80 (define @t120 () (forall @t116 @t66)) % 0.62/0.80 (define @t121 () (forall (@list @t67 @t68) @t69)) % 0.62/0.80 (define @t122 () (forall @t116 @t69)) % 0.62/0.80 (define @t123 () (and @t122 @t120 @t118)) % 0.62/0.80 (define @t124 () (forall @t116 @t70)) % 0.62/0.80 (define @t125 () (or @t72 @t124)) % 0.62/0.80 (define @t126 () (_ @t7 @t4 @t18 @t17)) % 0.62/0.80 (define @t127 () (_ @t7 @t4 @t21 @t17)) % 0.62/0.80 (define @t128 () (_ @t7 @t4 @t18 @t21)) % 0.62/0.80 (define @t129 () (not @t128)) % 0.62/0.80 (define @t130 () (_ @t7 @t4 @t21 @t18)) % 0.62/0.80 (define @t131 () (and (forall @t29 (or @t129 @t130)) (forall @t26 (or @t129 (not @t127) @t126)) @t16)) % 0.62/0.80 (define @t132 () (or @t114 @t131)) % 0.62/0.80 (define @t133 () (not @t23)) % 0.62/0.80 (define @t134 () (not @t24)) % 0.62/0.80 (define @t135 () (or @t134 @t133 @t20)) % 0.62/0.80 (define @t136 () (or @t134 @t28)) % 0.62/0.80 (define @t137 () (not @t38)) % 0.62/0.80 (define @t138 () (or @t114 @t137 @t36)) % 0.62/0.80 (define @t139 () (or @t114 @t42)) % 0.62/0.80 (define @t140 () (or @t114 @t47)) % 0.62/0.80 (define @t141 () (not @t52)) % 0.62/0.80 (define @t142 () (or @t141 @t51)) % 0.62/0.80 (define @t143 () (forall @t97 @t94)) % 0.62/0.80 (define @t144 () (@quantifiers_skolemize @t143 1)) % 0.62/0.80 (define @t145 () (@quantifiers_skolemize @t143 0)) % 0.62/0.80 (define @t146 () (not (_ @t145 @t4 @t1))) % 0.62/0.80 (define @t147 () (forall @t74 (or @t146 (and (or (not (_ @t144 @t4 @t67 @t68)) (_ @t144 @t4 @t68 @t67)) (or (not (_ @t144 @t4 @t64 @t65)) (not (_ @t144 @t4 @t65 @t63)) (_ @t144 @t4 @t64 @t63)) (= (_ @t144 @t4) (_ @t144 @t1)))))) % 0.62/0.80 (define @t148 () (@quantifiers_skolemize @t143 5)) % 0.62/0.80 (define @t149 () (@quantifiers_skolemize @t143 3)) % 0.62/0.80 (define @t150 () (_ @t149 @t148)) % 0.62/0.80 (define @t151 () (@quantifiers_skolemize @t143 4)) % 0.62/0.80 (define @t152 () (@quantifiers_skolemize @t143 2)) % 0.62/0.80 (define @t153 () (_ @t152 @t151)) % 0.62/0.80 (define @t154 () (_ @t144 @t151 @t153 @t150)) % 0.62/0.80 (define @t155 () (_ @t145 @t151 @t148)) % 0.62/0.80 (define @t156 () (not @t155)) % 0.62/0.80 (define @t157 () (not @t147)) % 0.62/0.80 (define @t158 () (forall @t40 (or @t146 (not (_ @t145 @t1 @t35)) (_ @t145 @t4 @t35)))) % 0.62/0.80 (define @t159 () (not @t158)) % 0.62/0.80 (define @t160 () (forall @t14 (or @t146 (_ @t145 @t1 @t4)))) % 0.62/0.80 (define @t161 () (not @t160)) % 0.62/0.80 (define @t162 () (_ @t152 @t4)) % 0.62/0.80 (define @t163 () (forall @t14 (or @t146 (_ @t144 @t4 @t162 (_ @t152 @t1))))) % 0.62/0.80 (define @t164 () (not @t163)) % 0.62/0.80 (define @t165 () (forall @t53 (or (not (_ @t145 @t4 @t4)) (_ @t144 @t4 @t162 (_ @t149 @t4))))) % 0.62/0.80 (define @t166 () (not @t165)) % 0.62/0.80 (define @t167 () (or @t166 @t164 @t161 @t159 @t157 @t156 @t154)) % 0.62/0.80 (define @t168 () (@list true)) % 0.62/0.80 (define @t169 () (@list @t167)) % 0.62/0.80 (define @t170 () (_ @t144 @t151 @t150 @t150)) % 0.62/0.80 (define @t171 () (not @t170)) % 0.62/0.80 (define @t172 () (or @t171 @t171 @t170)) % 0.62/0.80 (define @t173 () (_ @t144 @t151 @t150 @t153)) % 0.62/0.80 (define @t174 () (not @t173)) % 0.62/0.80 (define @t175 () (or @t174 @t154)) % 0.62/0.80 (define @t176 () (and @t175 @t172)) % 0.62/0.80 (define @t177 () (_ @t144 @t151)) % 0.62/0.80 (define @t178 () (and @t175 @t172 (= @t177 @t177))) % 0.62/0.80 (define @t179 () (_ @t145 @t151 @t151)) % 0.62/0.80 (define @t180 () (not @t179)) % 0.62/0.80 (define @t181 () (or @t180 @t178)) % 0.62/0.80 (define @t182 () (or @t180 @t176)) % 0.62/0.80 (define @t183 () (@list false)) % 0.62/0.80 (define @t184 () (@list @t147)) % 0.62/0.80 (define @t185 () (_ @t145 @t148 @t151)) % 0.62/0.80 (define @t186 () (or @t156 @t185)) % 0.62/0.80 (define @t187 () (@list false false)) % 0.62/0.80 (define @t188 () (not @t185)) % 0.62/0.80 (define @t189 () (or @t156 @t188 @t179)) % 0.62/0.80 (define @t190 () (@list false false false)) % 0.62/0.80 (define @t191 () (not @t154)) % 0.62/0.80 (define @t192 () (_ @t144 @t148)) % 0.62/0.80 (define @t193 () (= @t177 @t192)) % 0.62/0.80 (define @t194 () (and (or @t191 @t173) (or (not (_ @t144 @t151 @t153 @t153)) @t191 @t154) @t193)) % 0.62/0.80 (define @t195 () (or @t156 @t194)) % 0.62/0.80 (define @t196 () (_ @t144 @t148 @t150 @t153)) % 0.62/0.80 (define @t197 () (_ @t152 @t148)) % 0.62/0.80 (define @t198 () (_ @t144 @t148 @t197 @t153)) % 0.62/0.80 (define @t199 () (not @t198)) % 0.62/0.80 (define @t200 () (_ @t144 @t148 @t150 @t197)) % 0.62/0.80 (define @t201 () (not @t200)) % 0.62/0.80 (define @t202 () (or @t201 @t199 @t196)) % 0.62/0.80 (define @t203 () (_ @t144 @t148 @t197 @t150)) % 0.62/0.80 (define @t204 () (or @t201 @t203)) % 0.62/0.80 (define @t205 () (and @t204 @t202)) % 0.62/0.80 (define @t206 () (= @t192 @t192)) % 0.62/0.80 (define @t207 () (and @t204 @t202 @t206)) % 0.62/0.80 (define @t208 () (_ @t145 @t148 @t148)) % 0.62/0.80 (define @t209 () (not @t208)) % 0.62/0.80 (define @t210 () (or @t209 @t207)) % 0.62/0.80 (define @t211 () (or @t209 @t205)) % 0.62/0.80 (define @t212 () (or @t188 @t156 @t208)) % 0.62/0.80 (define @t213 () (not @t203)) % 0.62/0.80 (define @t214 () (or (not (_ @t144 @t148 @t197 @t197)) @t213 @t203)) % 0.62/0.80 (define @t215 () (or @t213 @t200)) % 0.62/0.80 (define @t216 () (and @t215 @t214)) % 0.62/0.80 (define @t217 () (and @t215 @t214 @t206)) % 0.62/0.80 (define @t218 () (or @t209 @t217)) % 0.62/0.80 (define @t219 () (or @t209 @t216)) % 0.62/0.80 (define @t220 () (or @t209 @t203)) % 0.62/0.80 (define @t221 () (or @t188 @t198)) % 0.62/0.80 (assume @p1 @t58) % 0.62/0.80 (assume @p2 true) % 0.62/0.80 (step @p3 :rule evaluate :args ((= true false))) % 0.62/0.80 (step @p4 :rule aci_norm :args ((= @t96 @t94))) % 0.62/0.80 (step @p5 :rule cong :premises (@p4) :args (@t98)) % 0.62/0.80 (step @p6 :rule quant-merge-prenex :args ((= (forall @t56 @t100) @t98))) % 0.62/0.80 (step @p7 :rule alpha_equiv :args (@t101 (@list @t60 @t59) (@list @t4 @t1))) % 0.62/0.80 (step @p8 :rule refl :args (@t76)) % 0.62/0.80 (step @p9 :rule refl :args (@t80)) % 0.62/0.80 (step @p10 :rule refl :args (@t83)) % 0.62/0.80 (step @p11 :rule refl :args (@t88)) % 0.62/0.80 (step @p12 :rule refl :args (@t93)) % 0.62/0.80 (step @p13 :rule nary_cong :premises (@p12 @p11 @p10 @p9 @p8 @p7) :args (@t102)) % 0.62/0.80 (step @p14 :rule quant-miniscope-or :args ((= @t100 @t102))) % 0.62/0.80 (step @p15 :rule trans :premises (@p14 @p13)) % 0.62/0.80 (step @p16 :rule symm :premises (@p15)) % 0.62/0.80 (step @p17 :rule cong :premises (@p16) :args ((forall @t56 @t106))) % 0.62/0.80 (step @p18 :rule trans :premises (@p17 @p6)) % 0.62/0.80 (step @p19 :rule trans :premises (@p18 @p5)) % 0.62/0.80 (step @p20 :rule aci_norm :args ((= (or @t93 @t107) @t106))) % 0.62/0.80 (step @p21 :rule aci_norm :args ((= (or @t88 @t108) @t107))) % 0.62/0.80 (step @p22 :rule aci_norm :args ((= (or (or @t83 @t80) (or @t76 @t105)) @t108))) % 0.62/0.80 (step @p23 :rule bool-impl-elim :args (@t75 @t105)) % 0.62/0.80 (step @p24 :rule bool-and-de-morgan :args (@t82 @t79 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:rule cnf_or_neg :args (@t167 6)) % 0.62/0.80 (step @p289 :rule chain_m_resolution :premises (@p288 @p231) :args (@t191 @t168 @t169)) % 0.62/0.80 (step @p290 :rule cnf_or_pos :args (@t175)) % 0.62/0.80 (step @p291 :rule reordering :premises (@p290) :args ((or @t154 @t174 (not @t175)))) % 0.62/0.80 (step @p292 :rule chain_m_resolution :premises (@p291 @p289 @p287) :args (@t174 (@list true false) (@list @t154 @t175))) % 0.62/0.80 (step @p293 :rule false_intro :premises (@p292)) % 0.62/0.80 (step @p294 :rule refl :args (@t173)) % 0.62/0.80 (step @p295 :rule symm :premises (@p294)) % 0.62/0.80 (step @p296 :rule refl :args (@t153)) % 0.62/0.80 (step @p297 :rule refl :args (@t150)) % 0.62/0.80 (step @p298 :rule instantiate :premises (@p238) :args ((@list @t151 @t148 @t153 @t150 @t153 @t153 @t150))) % 0.62/0.80 (step @p299 :rule cnf_or_pos :args (@t195)) % 0.62/0.80 (step @p300 :rule reordering :premises (@p299) :args ((or @t156 @t194 (not @t195)))) % 0.62/0.80 (step @p301 :rule chain_m_resolution :premises (@p300 @p275 @p298) :args (@t194 @t187 (@list @t155 @t195))) % 0.62/0.80 (step @p302 :rule cnf_and_pos :args (@t194 2)) % 0.62/0.80 (step @p303 :rule reordering :premises (@p302) :args ((or @t193 (not @t194)))) % 0.62/0.80 (step @p304 :rule chain_m_resolution :premises (@p303 @p301) :args (@t193 @t183 (@list @t194))) % 0.62/0.80 (step @p305 :rule symm :premises (@p304)) % 0.62/0.80 (step @p306 :rule ho_cong :premises (@p305 @p297)) % 0.62/0.80 (step @p307 :rule ho_cong :premises (@p306 @p296)) % 0.62/0.80 (step @p308 :rule refl :args (@t196)) % 0.62/0.80 (step @p309 :rule aci_norm :args ((= (and @t204 @t202 true) @t205))) % 0.62/0.80 (step @p310 :rule eq-refl :args (@t192)) % 0.62/0.80 (step @p311 :rule refl :args (@t202)) % 0.62/0.80 (step @p312 :rule refl :args (@t204)) % 0.62/0.80 (step @p313 :rule nary_cong :premises (@p312 @p311 @p310) :args (@t207)) % 0.62/0.80 (step @p314 :rule trans :premises (@p313 @p309)) % 0.62/0.80 (step @p315 :rule refl :args (@t209)) % 0.62/0.80 (step @p316 :rule nary_cong :premises (@p315 @p314) :args (@t210)) % 0.62/0.80 (step @p317 :rule cong :premises (@p247 @p316) :args ((=> @t147 @t210))) % 0.62/0.80 (assume-push @p387 @t147) % 0.62/0.80 (step @p319 :rule instantiate :premises (@p238) :args ((@list @t148 @t148 @t150 @t197 @t150 @t197 @t153))) % 0.62/0.80 (step-pop @p388 :rule scope :premises (@p319)) % 0.62/0.80 (step @p320 :rule process_scope :premises (@p388) :args (@t210)) % 0.62/0.80 (step @p322 :rule eq_resolve :premises (@p320 @p317)) % 0.62/0.80 (step @p323 :rule implies_elim :premises (@p322)) % 0.62/0.80 (step @p324 :rule chain_m_resolution :premises (@p323 @p238) :args (@t211 @t183 @t184)) % 0.62/0.80 (step @p325 :rule instantiate :premises (@p261) :args ((@list @t148 @t151 @t148))) % 0.62/0.80 (step @p326 :rule cnf_or_pos :args (@t212)) % 0.62/0.80 (step @p327 :rule reordering :premises (@p326) :args ((or @t156 @t208 @t188 (not @t212)))) % 0.62/0.80 (step @p328 :rule chain_m_resolution :premises (@p327 @p275 @p278 @p325) :args (@t208 @t190 (@list @t155 @t185 @t212))) % 0.62/0.80 (step @p329 :rule cnf_or_pos :args (@t211)) % 0.62/0.80 (step @p330 :rule reordering :premises (@p329) :args ((or @t209 @t205 (not @t211)))) % 0.62/0.80 (step @p331 :rule chain_m_resolution :premises (@p330 @p328 @p324) :args (@t205 @t187 (@list @t208 @t211))) % 0.62/0.80 (step @p332 :rule cnf_and_pos :args (@t205 1)) % 0.62/0.80 (step @p333 :rule reordering :premises (@p332) :args ((or @t202 (not @t205)))) % 0.62/0.80 (step @p334 :rule chain_m_resolution :premises (@p333 @p331) :args (@t202 @t183 (@list @t205))) % 0.62/0.80 (step @p335 :rule aci_norm :args ((= (and @t215 @t214 true) @t216))) % 0.62/0.80 (step @p336 :rule refl :args (@t214)) % 0.62/0.80 (step @p337 :rule refl :args (@t215)) % 0.62/0.80 (step @p338 :rule nary_cong :premises (@p337 @p336 @p310) :args (@t217)) % 0.62/0.80 (step @p339 :rule trans :premises (@p338 @p335)) % 0.62/0.80 (step @p340 :rule nary_cong :premises (@p315 @p339) :args (@t218)) % 0.62/0.80 (step @p341 :rule cong :premises (@p247 @p340) :args ((=> @t147 @t218))) % 0.62/0.80 (assume-push @p389 @t147) % 0.62/0.80 (step @p343 :rule instantiate :premises (@p238) :args ((@list @t148 @t148 @t197 @t150 @t197 @t197 @t150))) % 0.62/0.80 (step-pop @p390 :rule scope :premises (@p343)) % 0.62/0.80 (step @p344 :rule process_scope :premises (@p390) :args (@t218)) % 0.62/0.80 (step @p346 :rule eq_resolve :premises (@p344 @p341)) % 0.62/0.80 (step @p347 :rule implies_elim :premises (@p346)) % 0.62/0.80 (step @p348 :rule chain_m_resolution :premises (@p347 @p238) :args (@t219 @t183 @t184)) % 0.62/0.80 (step @p349 :rule cnf_or_pos :args (@t219)) % 0.62/0.80 (step @p350 :rule reordering :premises (@p349) :args ((or @t209 @t216 (not @t219)))) % 0.62/0.80 (step @p351 :rule chain_m_resolution :premises (@p350 @p328 @p348) :args (@t216 @t187 (@list @t208 @t219))) % 0.62/0.80 (step @p352 :rule cnf_and_pos :args (@t216 0)) % 0.62/0.80 (step @p353 :rule reordering :premises (@p352) :args ((or @t215 (not @t216)))) % 0.62/0.80 (step @p354 :rule chain_m_resolution :premises (@p353 @p351) :args (@t215 @t183 (@list @t216))) % 0.62/0.80 (step @p355 :rule bool-double-not-elim :args (@t165)) % 0.62/0.80 (step @p356 :rule nary_cong :premises (@p233 @p355) :args ((or @t167 (not @t166)))) % 0.62/0.80 (step @p357 :rule cnf_or_neg :args (@t167 0)) % 0.62/0.80 (step @p358 :rule eq_resolve :premises (@p357 @p356)) % 0.62/0.80 (step @p359 :rule reordering :premises (@p358) :args ((or @t165 @t167))) % 0.62/0.80 (step @p360 :rule chain_m_resolution :premises (@p359 @p231) :args (@t165 @t168 @t169)) % 0.62/0.80 (step @p361 :rule instantiate :premises (@p360) :args ((@list @t148))) % 0.62/0.80 (step @p362 :rule cnf_or_pos :args (@t220)) % 0.62/0.80 (step @p363 :rule reordering :premises (@p362) :args ((or @t209 @t203 (not @t220)))) % 0.62/0.80 (step @p364 :rule chain_m_resolution :premises (@p363 @p328 @p361) :args (@t203 @t187 (@list @t208 @t220))) % 0.62/0.80 (step @p365 :rule cnf_or_pos :args (@t215)) % 0.62/0.80 (step @p366 :rule reordering :premises (@p365) :args ((or @t213 @t200 (not @t215)))) % 0.62/0.80 (step @p367 :rule chain_m_resolution :premises (@p366 @p364 @p354) :args (@t200 @t187 (@list @t203 @t215))) % 0.62/0.80 (step @p368 :rule bool-double-not-elim :args (@t163)) % 0.62/0.80 (step @p369 :rule nary_cong :premises (@p233 @p368) :args ((or @t167 (not @t164)))) % 0.62/0.80 (step @p370 :rule cnf_or_neg :args (@t167 1)) % 0.62/0.80 (step @p371 :rule eq_resolve :premises (@p370 @p369)) % 0.62/0.80 (step @p372 :rule reordering :premises (@p371) :args ((or @t163 @t167))) % 0.62/0.80 (step @p373 :rule chain_m_resolution :premises (@p372 @p231) :args (@t163 @t168 @t169)) % 0.62/0.80 (step @p374 :rule instantiate :premises (@p373) :args ((@list @t148 @t151))) % 0.62/0.80 (step @p375 :rule cnf_or_pos :args (@t221)) % 0.62/0.80 (step @p376 :rule reordering :premises (@p375) :args ((or @t188 @t198 (not @t221)))) % 0.62/0.80 (step @p377 :rule chain_m_resolution :premises (@p376 @p278 @p374) :args (@t198 @t187 (@list @t185 @t221))) % 0.62/0.80 (step @p378 :rule cnf_or_pos :args (@t202)) % 0.62/0.80 (step @p379 :rule reordering :premises (@p378) :args ((or @t199 @t201 @t196 (not @t202)))) % 0.62/0.80 (step @p380 :rule chain_m_resolution :premises (@p379 @p377 @p367 @p334) :args (@t196 @t190 (@list @t198 @t200 @t202))) % 0.62/0.80 (step @p381 :rule true_intro :premises (@p380)) % 0.62/0.80 (step @p382 :rule symm :premises (@p381)) % 0.62/0.80 (step @p383 :rule trans :premises (@p382 @p308 @p307 @p295 @p293)) % 0.62/0.80 (step @p384 false :rule eq_resolve :premises (@p383 @p3)) % 0.62/0.80 ) % 0.62/0.80 % SZS output end Proof % 0.62/0.81 % cvc5 exiting %------------------------------------------------------------------------------