%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV044^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 0.15s 0.38s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEV044^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 13:10:15 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TH0 % 0.15/0.38 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.38 % SZS status Theorem % 0.15/0.38 % SZS output start Proof % 0.15/0.38 ( % 0.15/0.38 (declare-sort tptp.b 0) % 0.15/0.38 (declare-sort tptp.a 0) % 0.15/0.38 (define @t1 () (@var "Xx0" tptp.b)) % 0.15/0.38 (define @t2 () (@var "Xz" (-> tptp.b tptp.a))) % 0.15/0.38 (define @t3 () (_ @t2 @t1)) % 0.15/0.38 (define @t4 () (@var "Xx" (-> tptp.b tptp.a))) % 0.15/0.38 (define @t5 () (_ @t4 @t1)) % 0.15/0.38 (define @t6 () (@var "Xp" (-> tptp.b tptp.a tptp.a Bool))) % 0.15/0.38 (define @t7 () (_ @t6 @t1)) % 0.15/0.38 (define @t8 () (_ @t7 @t5)) % 0.15/0.38 (define @t9 () (_ @t8 @t3)) % 0.15/0.38 (define @t10 () (@var "Xs" (-> tptp.b Bool))) % 0.15/0.38 (define @t11 () (_ @t10 @t1)) % 0.15/0.38 (define @t12 () (@list @t1)) % 0.15/0.38 (define @t13 () (forall @t12 (=> @t11 @t9))) % 0.15/0.38 (define @t14 () (@var "Xy" (-> tptp.b tptp.a))) % 0.15/0.38 (define @t15 () (_ @t14 @t1)) % 0.15/0.38 (define @t16 () (_ @t7 @t15)) % 0.15/0.38 (define @t17 () (_ @t16 @t3)) % 0.15/0.38 (define @t18 () (forall @t12 (=> @t11 @t17))) % 0.15/0.38 (define @t19 () (_ @t8 @t15)) % 0.15/0.38 (define @t20 () (forall @t12 (=> @t11 @t19))) % 0.15/0.38 (define @t21 () (and @t20 @t18)) % 0.15/0.38 (define @t22 () (=> @t21 @t13)) % 0.15/0.38 (define @t23 () (@list @t4 @t14 @t2)) % 0.15/0.38 (define @t24 () (forall @t23 @t22)) % 0.15/0.38 (define @t25 () (_ @t16 @t5)) % 0.15/0.38 (define @t26 () (forall @t12 (=> @t11 @t25))) % 0.15/0.38 (define @t27 () (=> @t20 @t26)) % 0.15/0.38 (define @t28 () (@list @t4 @t14)) % 0.15/0.38 (define @t29 () (forall @t28 @t27)) % 0.15/0.38 (define @t30 () (and @t29 @t24)) % 0.15/0.38 (define @t31 () (@var "Xz" tptp.a)) % 0.15/0.38 (define @t32 () (@var "Xx0" tptp.a)) % 0.15/0.38 (define @t33 () (@var "Xx" tptp.b)) % 0.15/0.38 (define @t34 () (_ @t6 @t33)) % 0.15/0.38 (define @t35 () (_ @t34 @t32)) % 0.15/0.38 (define @t36 () (_ @t35 @t31)) % 0.15/0.38 (define @t37 () (@var "Xy" tptp.a)) % 0.15/0.38 (define @t38 () (_ @t34 @t37)) % 0.15/0.38 (define @t39 () (_ @t38 @t31)) % 0.15/0.38 (define @t40 () (_ @t35 @t37)) % 0.15/0.38 (define @t41 () (and @t40 @t39)) % 0.15/0.38 (define @t42 () (@list @t32 @t37 @t31)) % 0.15/0.38 (define @t43 () (forall @t42 (=> @t41 @t36))) % 0.15/0.38 (define @t44 () (_ @t38 @t32)) % 0.15/0.38 (define @t45 () (@list @t32 @t37)) % 0.15/0.38 (define @t46 () (forall @t45 (=> @t40 @t44))) % 0.15/0.38 (define @t47 () (and @t46 @t43)) % 0.15/0.38 (define @t48 () (_ @t10 @t33)) % 0.15/0.38 (define @t49 () (=> @t48 @t47)) % 0.15/0.38 (define @t50 () (@list @t33)) % 0.15/0.38 (define @t51 () (forall @t50 @t49)) % 0.15/0.38 (define @t52 () (=> @t51 @t30)) % 0.15/0.38 (define @t53 () (@list @t10 @t6)) % 0.15/0.38 (define @t54 () (forall @t53 @t52)) % 0.15/0.38 (define @t55 () (not @t54)) % 0.15/0.38 (define @t56 () (@var "BOUND_VARIABLE_7627" tptp.b)) % 0.15/0.38 (define @t57 () (@var "BOUND_VARIABLE_7625" (-> tptp.b tptp.a))) % 0.15/0.38 (define @t58 () (@var "BOUND_VARIABLE_7621" (-> tptp.b tptp.a))) % 0.15/0.38 (define @t59 () (@var "BOUND_VARIABLE_7623" (-> tptp.b tptp.a))) % 0.15/0.38 (define @t60 () (_ @t59 @t1)) % 0.15/0.38 (define @t61 () (_ @t10 @t1)) % 0.15/0.38 (define @t62 () (not @t61)) % 0.15/0.38 (define @t63 () (or (not (forall @t12 (or @t62 (_ @t6 @t1 (_ @t58 @t1) @t60)))) (not (forall @t12 (or @t62 (_ @t6 @t1 @t60 (_ @t57 @t1))))) (not (_ @t10 @t56)) (_ @t6 @t56 (_ @t58 @t56) (_ @t57 @t56)))) % 0.15/0.38 (define @t64 () (@var "BOUND_VARIABLE_7607" tptp.b)) % 0.15/0.38 (define @t65 () (@var "BOUND_VARIABLE_7603" (-> tptp.b tptp.a))) % 0.15/0.38 (define @t66 () (@var "BOUND_VARIABLE_7605" (-> tptp.b tptp.a))) % 0.15/0.38 (define @t67 () (or (not (forall @t12 (or @t62 (_ @t6 @t1 (_ @t65 @t1) (_ @t66 @t1))))) (not (_ @t10 @t64)) (_ @t6 @t64 (_ @t66 @t64) (_ @t65 @t64)))) % 0.15/0.38 (define @t68 () (and @t67 @t63)) % 0.15/0.38 (define @t69 () (@var "BOUND_VARIABLE_7514" tptp.a)) % 0.15/0.38 (define @t70 () (@var "BOUND_VARIABLE_7510" tptp.a)) % 0.15/0.38 (define @t71 () (@var "BOUND_VARIABLE_7512" tptp.a)) % 0.15/0.38 (define @t72 () (or (not (_ @t6 @t33 @t70 @t71)) (not (_ @t6 @t33 @t71 @t69)) (_ @t6 @t33 @t70 @t69))) % 0.15/0.38 (define @t73 () (@var "BOUND_VARIABLE_7502" tptp.a)) % 0.15/0.38 (define @t74 () (@var "BOUND_VARIABLE_7504" tptp.a)) % 0.15/0.38 (define @t75 () (or (not (_ @t6 @t33 @t73 @t74)) (_ @t6 @t33 @t74 @t73))) % 0.15/0.38 (define @t76 () (and @t75 @t72)) % 0.15/0.38 (define @t77 () (_ @t10 @t33)) % 0.15/0.38 (define @t78 () (not @t77)) % 0.15/0.38 (define @t79 () (or @t78 @t76)) % 0.15/0.38 (define @t80 () (@list @t33 @t73 @t74 @t70 @t71 @t69)) % 0.15/0.38 (define @t81 () (forall @t80 @t79)) % 0.15/0.38 (define @t82 () (not @t81)) % 0.15/0.38 (define @t83 () (or @t82 @t68)) % 0.15/0.38 (define @t84 () (forall (@list @t10 @t6 @t65 @t66 @t64 @t58 @t59 @t57 @t56) @t83)) % 0.15/0.38 (define @t85 () (@list @t65 @t66 @t64 @t58 @t59 @t57 @t56)) % 0.15/0.38 (define @t86 () (forall @t85 @t83)) % 0.15/0.38 (define @t87 () (forall (@list @t58 @t59 @t57 @t56) @t63)) % 0.15/0.38 (define @t88 () (@var "BOUND_VARIABLE_7584" tptp.b)) % 0.15/0.38 (define @t89 () (forall @t85 @t63)) % 0.15/0.38 (define @t90 () (forall (@list @t65 @t66 @t64) @t67)) % 0.15/0.38 (define @t91 () (@var "BOUND_VARIABLE_7550" tptp.b)) % 0.15/0.38 (define @t92 () (forall @t85 @t67)) % 0.15/0.38 (define @t93 () (and @t92 @t89)) % 0.15/0.38 (define @t94 () (forall @t85 @t68)) % 0.15/0.38 (define @t95 () (or @t82 @t94)) % 0.15/0.38 (define @t96 () (_ @t6 @t88 (_ @t4 @t88) (_ @t2 @t88))) % 0.15/0.38 (define @t97 () (not (_ @t10 @t88))) % 0.15/0.38 (define @t98 () (_ @t2 @t1)) % 0.15/0.38 (define @t99 () (_ @t14 @t1)) % 0.15/0.38 (define @t100 () (_ @t6 @t1 @t99 @t98)) % 0.15/0.38 (define @t101 () (forall @t12 (or @t62 @t100))) % 0.15/0.38 (define @t102 () (not @t101)) % 0.15/0.38 (define @t103 () (_ @t4 @t1)) % 0.15/0.38 (define @t104 () (_ @t6 @t1 @t103 @t99)) % 0.15/0.38 (define @t105 () (forall @t12 (or @t62 @t104))) % 0.15/0.38 (define @t106 () (not @t105)) % 0.15/0.38 (define @t107 () (or @t106 @t102 @t97 @t96)) % 0.15/0.38 (define @t108 () (@list @t4 @t14 @t2 @t88)) % 0.15/0.38 (define @t109 () (_ @t6 @t91 (_ @t14 @t91) (_ @t4 @t91))) % 0.15/0.38 (define @t110 () (not (_ @t10 @t91))) % 0.15/0.38 (define @t111 () (or @t106 @t110 @t109)) % 0.15/0.38 (define @t112 () (@list @t4 @t14 @t91)) % 0.15/0.38 (define @t113 () (and (forall @t112 @t111) (forall @t108 @t107))) % 0.15/0.39 (define @t114 () (or @t97 @t96)) % 0.15/0.39 (define @t115 () (or @t106 @t102 @t114)) % 0.15/0.39 (define @t116 () (forall @t108 @t115)) % 0.15/0.39 (define @t117 () (@list @t88)) % 0.15/0.39 (define @t118 () (forall @t117 @t115)) % 0.15/0.39 (define @t119 () (forall @t117 @t114)) % 0.15/0.39 (define @t120 () (@list @t1)) % 0.15/0.39 (define @t121 () (or @t106 @t102 @t119)) % 0.15/0.39 (define @t122 () (_ @t6 @t1 @t103 @t98)) % 0.15/0.39 (define @t123 () (forall @t12 (or @t62 @t122))) % 0.15/0.39 (define @t124 () (or @t106 @t102 @t123)) % 0.15/0.39 (define @t125 () (and @t105 @t101)) % 0.15/0.39 (define @t126 () (_ @t7 @t103)) % 0.15/0.39 (define @t127 () (not @t11)) % 0.15/0.39 (define @t128 () (or @t127 @t9)) % 0.15/0.39 (define @t129 () (_ @t7 @t99)) % 0.15/0.39 (define @t130 () (or @t127 @t17)) % 0.15/0.39 (define @t131 () (or @t127 @t19)) % 0.15/0.39 (define @t132 () (or @t110 @t109)) % 0.15/0.39 (define @t133 () (or @t106 @t132)) % 0.15/0.39 (define @t134 () (forall @t112 @t133)) % 0.15/0.39 (define @t135 () (@list @t91)) % 0.15/0.39 (define @t136 () (forall @t135 @t133)) % 0.15/0.39 (define @t137 () (forall @t135 @t132)) % 0.15/0.39 (define @t138 () (or @t106 @t137)) % 0.15/0.39 (define @t139 () (_ @t6 @t1 @t99 @t103)) % 0.15/0.39 (define @t140 () (forall @t12 (or @t62 @t139))) % 0.15/0.39 (define @t141 () (or @t127 @t25)) % 0.15/0.39 (define @t142 () (@list @t73 @t74 @t70 @t71 @t69)) % 0.15/0.39 (define @t143 () (forall @t142 @t79)) % 0.15/0.39 (define @t144 () (forall (@list @t70 @t71 @t69) @t72)) % 0.15/0.39 (define @t145 () (forall @t142 @t72)) % 0.15/0.39 (define @t146 () (forall (@list @t73 @t74) @t75)) % 0.15/0.39 (define @t147 () (forall @t142 @t75)) % 0.15/0.39 (define @t148 () (and @t147 @t145)) % 0.15/0.39 (define @t149 () (forall @t142 @t76)) % 0.15/0.39 (define @t150 () (or @t78 @t149)) % 0.15/0.39 (define @t151 () (_ @t6 @t33 @t32 @t31)) % 0.15/0.39 (define @t152 () (_ @t6 @t33 @t37 @t31)) % 0.15/0.39 (define @t153 () (_ @t6 @t33 @t32 @t37)) % 0.15/0.39 (define @t154 () (not @t153)) % 0.15/0.39 (define @t155 () (_ @t6 @t33 @t37 @t32)) % 0.15/0.39 (define @t156 () (and (forall @t45 (or @t154 @t155)) (forall @t42 (or @t154 (not @t152) @t151)))) % 0.15/0.39 (define @t157 () (not @t48)) % 0.15/0.39 (define @t158 () (or @t157 @t156)) % 0.15/0.39 (define @t159 () (not @t39)) % 0.15/0.39 (define @t160 () (not @t40)) % 0.15/0.39 (define @t161 () (or @t160 @t159 @t36)) % 0.15/0.39 (define @t162 () (or @t160 @t44)) % 0.15/0.39 (define @t163 () (@quantifiers_skolemize @t84 1)) % 0.15/0.39 (define @t164 () (@quantifiers_skolemize @t84 0)) % 0.15/0.39 (define @t165 () (forall @t80 (or (not (_ @t164 @t33)) (and (or (not (_ @t163 @t33 @t73 @t74)) (_ @t163 @t33 @t74 @t73)) (or (not (_ @t163 @t33 @t70 @t71)) (not (_ @t163 @t33 @t71 @t69)) (_ @t163 @t33 @t70 @t69)))))) % 0.15/0.39 (define @t166 () (@quantifiers_skolemize @t84 8)) % 0.15/0.39 (define @t167 () (@quantifiers_skolemize @t84 7)) % 0.15/0.39 (define @t168 () (_ @t167 @t166)) % 0.15/0.39 (define @t169 () (@quantifiers_skolemize @t84 5)) % 0.15/0.39 (define @t170 () (_ @t169 @t166)) % 0.15/0.39 (define @t171 () (_ @t163 @t166 @t170 @t168)) % 0.15/0.39 (define @t172 () (_ @t164 @t166)) % 0.15/0.39 (define @t173 () (not @t172)) % 0.15/0.39 (define @t174 () (@quantifiers_skolemize @t84 6)) % 0.15/0.39 (define @t175 () (_ @t174 @t1)) % 0.15/0.39 (define @t176 () (not (_ @t164 @t1))) % 0.15/0.39 (define @t177 () (forall @t12 (or @t176 (_ @t163 @t1 @t175 (_ @t167 @t1))))) % 0.15/0.39 (define @t178 () (not @t177)) % 0.15/0.39 (define @t179 () (forall @t12 (or @t176 (_ @t163 @t1 (_ @t169 @t1) @t175)))) % 0.15/0.39 (define @t180 () (not @t179)) % 0.15/0.39 (define @t181 () (or @t180 @t178 @t173 @t171)) % 0.15/0.39 (define @t182 () (@quantifiers_skolemize @t84 4)) % 0.15/0.39 (define @t183 () (@quantifiers_skolemize @t84 2)) % 0.15/0.39 (define @t184 () (_ @t183 @t182)) % 0.15/0.39 (define @t185 () (@quantifiers_skolemize @t84 3)) % 0.15/0.39 (define @t186 () (_ @t185 @t182)) % 0.15/0.39 (define @t187 () (_ @t163 @t182 @t186 @t184)) % 0.15/0.39 (define @t188 () (_ @t164 @t182)) % 0.15/0.39 (define @t189 () (not @t188)) % 0.15/0.39 (define @t190 () (forall @t12 (or @t176 (_ @t163 @t1 (_ @t183 @t1) (_ @t185 @t1))))) % 0.15/0.39 (define @t191 () (not @t190)) % 0.15/0.39 (define @t192 () (or @t191 @t189 @t187)) % 0.15/0.39 (define @t193 () (and @t192 @t181)) % 0.15/0.39 (define @t194 () (not @t165)) % 0.15/0.39 (define @t195 () (or @t194 @t193)) % 0.15/0.39 (define @t196 () (@list true)) % 0.15/0.39 (define @t197 () (@list @t195)) % 0.15/0.39 (define @t198 () (@list @t166)) % 0.15/0.39 (define @t199 () (_ @t174 @t166)) % 0.15/0.39 (define @t200 () (_ @t163 @t166 @t170 @t199)) % 0.15/0.39 (define @t201 () (or @t173 @t200)) % 0.15/0.39 (define @t202 () (_ @t163 @t166 @t199 @t168)) % 0.15/0.39 (define @t203 () (or @t173 @t202)) % 0.15/0.39 (define @t204 () (not @t202)) % 0.15/0.39 (define @t205 () (not @t200)) % 0.15/0.39 (define @t206 () (or @t205 @t204 @t171)) % 0.15/0.39 (define @t207 () (_ @t163 @t166 @t184 @t184)) % 0.15/0.39 (define @t208 () (and (or (not @t207) @t207) @t206)) % 0.15/0.39 (define @t209 () (or @t173 @t208)) % 0.15/0.39 (define @t210 () (@list true false)) % 0.15/0.39 (define @t211 () (@list @t192)) % 0.15/0.39 (define @t212 () (_ @t163 @t182 @t184 @t184)) % 0.15/0.39 (define @t213 () (not @t212)) % 0.15/0.39 (define @t214 () (_ @t163 @t182 @t184 @t186)) % 0.15/0.39 (define @t215 () (not @t214)) % 0.15/0.39 (define @t216 () (or @t215 @t187)) % 0.15/0.39 (define @t217 () (and @t216 (or @t213 @t213 @t212))) % 0.15/0.39 (define @t218 () (or @t189 @t217)) % 0.15/0.39 (define @t219 () (@list false false)) % 0.15/0.39 (define @t220 () (or @t189 @t214)) % 0.15/0.39 (define @t221 () (not @t216)) % 0.15/0.39 (assume @p1 @t55) % 0.15/0.39 (assume @p2 true) % 0.15/0.39 (step @p3 :rule quant-merge-prenex :args ((= (forall @t53 @t86) @t84))) % 0.15/0.39 (step @p4 :rule alpha_equiv :args (@t87 (@list @t58 @t59 @t57 @t56) (@list @t4 @t14 @t2 @t88))) % 0.15/0.39 (step @p5 :rule quant-unused-vars :args ((= @t89 @t87))) % 0.15/0.39 (step @p6 :rule trans :premises (@p5 @p4)) % 0.15/0.39 (step @p7 :rule alpha_equiv :args (@t90 (@list @t65 @t66 @t64) (@list @t4 @t14 @t91))) % 0.15/0.39 (step @p8 :rule quant-unused-vars :args ((= @t92 @t90))) % 0.15/0.39 (step @p9 :rule trans :premises (@p8 @p7)) % 0.15/0.39 (step @p10 :rule nary_cong :premises (@p9 @p6) :args (@t93)) % 0.15/0.39 (step @p11 :rule quant-miniscope-and :args ((= @t94 @t93))) % 0.15/0.39 (step @p12 :rule trans :premises (@p11 @p10)) % 0.15/0.39 (step @p13 :rule refl :args (@t82)) % 0.15/0.39 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t95)) % 0.15/0.39 (step @p15 :rule quant-miniscope-or :args ((= @t86 @t95))) % 0.15/0.39 (step @p16 :rule trans :premises (@p15 @p14)) % 0.15/0.39 (step @p17 :rule symm :premises (@p16)) % 0.15/0.39 (step @p18 :rule cong :premises (@p17) :args ((forall @t53 (or @t82 @t113)))) % 0.15/0.39 (step @p19 :rule trans :premises (@p18 @p3)) % 0.15/0.39 (step @p20 :rule bool-impl-elim :args (@t81 @t113)) % 0.15/0.39 (step @p21 :rule cong :premises (@p20) :args ((forall @t53 (=> @t81 @t113)))) % 0.15/0.39 (step @p22 :rule trans :premises (@p21 @p19)) % 0.15/0.39 (step @p23 :rule aci_norm :args ((= @t115 @t107))) % 0.15/0.39 (step @p24 :rule cong :premises (@p23) :args (@t116)) % 0.15/0.39 (step @p25 :rule quant-merge-prenex :args ((= (forall @t23 @t118) @t116))) % 0.15/0.39 (step @p26 :rule alpha_equiv :args (@t119 (@list @t88) @t120)) % 0.15/0.39 (step @p27 :rule refl :args (@t102)) % 0.15/0.39 (step @p28 :rule refl :args (@t106)) % 0.15/0.39 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26) :args (@t121)) % 0.15/0.39 (step @p30 :rule quant-miniscope-or :args ((= @t118 @t121))) % 0.15/0.39 (step @p31 :rule trans :premises (@p30 @p29)) % 0.15/0.39 (step @p32 :rule symm :premises (@p31)) % 0.15/0.39 (step @p33 :rule cong :premises (@p32) :args ((forall @t23 @t124))) % 0.15/0.39 (step @p34 :rule trans :premises (@p33 @p25)) % 0.15/0.39 (step @p35 :rule trans :premises (@p34 @p24)) % 0.15/0.39 (step @p36 :rule aci_norm :args ((= (or (or @t106 @t102) @t123) @t124))) % 0.15/0.39 (step @p37 :rule refl :args (@t123)) % 0.15/0.39 (step @p38 :rule bool-and-de-morgan :args (@t105 @t101 true)) % 0.15/0.39 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t125) @t123))) % 0.15/0.39 (step @p40 :rule trans :premises (@p39 @p36)) % 0.15/0.39 (step @p41 :rule bool-impl-elim :args (@t125 @t123)) % 0.15/0.39 (step @p42 :rule trans :premises (@p41 @p40)) % 0.15/0.39 (step @p43 :rule cong :premises (@p42) :args ((forall @t23 (=> @t125 @t123)))) % 0.15/0.39 (step @p44 :rule trans :premises (@p43 @p35)) % 0.15/0.39 (step @p45 :rule refl :args ((_ @t6 @t1 @t5 @t3))) % 0.15/0.39 (step @p46 :rule refl :args (@t98)) % 0.15/0.39 (step @p47 :rule refl :args (@t103)) % 0.15/0.39 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(@t181 3)) % 0.15/0.39 (assume-push @p316 @t179) % 0.15/0.39 (step @p258 :rule instantiate :premises (@p316) :args (@t198)) % 0.15/0.39 (step-pop @p317 :rule scope :premises (@p258)) % 0.15/0.39 (step @p259 :rule process_scope :premises (@p317) :args (@t201)) % 0.15/0.39 (step @p261 :rule implies_elim :premises (@p259)) % 0.15/0.39 (assume-push @p318 @t177) % 0.15/0.39 (step @p263 :rule instantiate :premises (@p318) :args (@t198)) % 0.15/0.39 (step-pop @p319 :rule scope :premises (@p263)) % 0.15/0.39 (step @p264 :rule process_scope :premises (@p319) :args (@t203)) % 0.15/0.39 (step @p266 :rule implies_elim :premises (@p264)) % 0.15/0.39 (step @p267 :rule instantiate :premises (@p238) :args ((@list @t166 @t184 @t184 @t170 @t199 @t168))) % 0.15/0.39 (step @p268 :rule cnf_or_pos :args (@t209)) % 0.15/0.39 (step @p269 :rule reordering :premises (@p268) :args ((or @t173 @t208 (not @t209)))) % 0.15/0.39 (step @p270 :rule cnf_or_pos :args (@t201)) % 0.15/0.39 (step @p271 :rule reordering :premises (@p270) :args ((or @t173 @t200 (not @t201)))) % 0.15/0.39 (step @p272 :rule cnf_or_pos :args (@t203)) % 0.15/0.39 (step @p273 :rule reordering :premises (@p272) :args ((or @t173 @t202 (not @t203)))) % 0.15/0.39 (step @p274 :rule cnf_and_pos :args (@t208 1)) % 0.15/0.39 (step @p275 :rule reordering :premises (@p274) :args ((or @t206 (not @t208)))) % 0.15/0.39 (step @p276 :rule cnf_or_pos :args (@t206)) % 0.15/0.39 (step @p277 :rule reordering :premises (@p276) :args ((or @t171 @t205 @t204 (not @t206)))) % 0.15/0.39 (step @p278 :rule chain_m_resolution :premises (@p277 @p275 @p273 @p271 @p269 @p267 @p266 @p261 @p256 @p255 @p250 @p245) :args (@t181 (@list false false false false false false false true false false false) (@list @t206 @t202 @t200 @t208 @t209 @t203 @t201 @t171 @t172 @t177 @t179))) % 0.15/0.39 (step @p279 :rule cnf_or_neg :args (@t195 1)) % 0.15/0.39 (step @p280 :rule chain_m_resolution :premises (@p279 @p231) :args ((not @t193) @t196 @t197)) % 0.15/0.39 (step @p281 :rule cnf_and_neg :args (@t193)) % 0.15/0.39 (step @p282 :rule chain_m_resolution :premises (@p281 @p280 @p278) :args ((not @t192) @t210 (@list @t193 @t181))) % 0.15/0.39 (step @p283 :rule bool-double-not-elim :args (@t188)) % 0.15/0.39 (step @p284 :rule refl :args (@t192)) % 0.15/0.39 (step @p285 :rule nary_cong :premises (@p284 @p283) :args ((or @t192 (not @t189)))) % 0.15/0.39 (step @p286 :rule cnf_or_neg :args (@t192 1)) % 0.15/0.39 (step @p287 :rule eq_resolve :premises (@p286 @p285)) % 0.15/0.39 (step @p288 :rule reordering :premises (@p287) :args ((or @t188 @t192))) % 0.15/0.39 (step @p289 :rule chain_m_resolution :premises (@p288 @p282) :args (@t188 @t196 @t211)) % 0.15/0.39 (step @p290 :rule cnf_or_pos :args (@t218)) % 0.15/0.39 (step @p291 :rule reordering :premises (@p290) :args ((or @t189 @t217 (not @t218)))) % 0.15/0.39 (step @p292 :rule chain_m_resolution :premises (@p291 @p289 @p239) :args (@t217 @t219 (@list @t188 @t218))) % 0.15/0.39 (step @p293 :rule bool-double-not-elim :args (@t190)) % 0.15/0.39 (step @p294 :rule nary_cong :premises (@p284 @p293) :args ((or @t192 (not @t191)))) % 0.15/0.39 (step @p295 :rule cnf_or_neg :args (@t192 0)) % 0.15/0.39 (step @p296 :rule eq_resolve :premises (@p295 @p294)) % 0.15/0.39 (step @p297 :rule reordering :premises (@p296) :args ((or @t190 @t192))) % 0.15/0.39 (step @p298 :rule chain_m_resolution :premises (@p297 @p282) :args (@t190 @t196 @t211)) % 0.15/0.39 (assume-push @p320 @t190) % 0.15/0.39 (step @p300 :rule instantiate :premises (@p320) :args ((@list @t182))) % 0.15/0.39 (step-pop @p321 :rule scope :premises (@p300)) % 0.15/0.39 (step @p301 :rule process_scope :premises (@p321) :args (@t220)) % 0.15/0.39 (step @p303 :rule implies_elim :premises (@p301)) % 0.15/0.39 (step @p304 :rule chain_m_resolution :premises (@p303 @p298) :args (@t220 (@list false) (@list @t190))) % 0.15/0.39 (step @p305 :rule cnf_or_pos :args (@t220)) % 0.15/0.39 (step @p306 :rule reordering :premises (@p305) :args ((or @t189 @t214 (not @t220)))) % 0.15/0.39 (step @p307 :rule chain_m_resolution :premises (@p306 @p289 @p304) :args (@t214 @t219 (@list @t188 @t220))) % 0.15/0.39 (step @p308 :rule cnf_or_neg :args (@t192 2)) % 0.15/0.39 (step @p309 :rule chain_m_resolution :premises (@p308 @p282) :args ((not @t187) @t196 @t211)) % 0.15/0.39 (step @p310 :rule cnf_or_pos :args (@t216)) % 0.15/0.39 (step @p311 :rule reordering :premises (@p310) :args ((or @t187 @t215 @t221))) % 0.15/0.39 (step @p312 :rule chain_m_resolution :premises (@p311 @p309 @p307) :args (@t221 @t210 (@list @t187 @t214))) % 0.15/0.39 (step @p313 :rule cnf_and_pos :args (@t217 0)) % 0.15/0.39 (step @p314 :rule reordering :premises (@p313) :args ((or @t216 (not @t217)))) % 0.15/0.39 (step @p315 false :rule chain_m_resolution :premises (@p314 @p312 @p292) :args (false @t210 (@list @t216 @t217))) % 0.15/0.39 ) % 0.15/0.39 % SZS output end Proof % 0.15/0.39 % cvc5 exiting %------------------------------------------------------------------------------