%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV109^5 : 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 : n007.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 08:55:28 AM UTC 2026 % Result : Theorem 0.45s 0.64s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV109^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n007.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 18:12:56 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.45/0.64 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.64 % SZS status Theorem % 0.45/0.64 % SZS output start Proof % 0.45/0.64 ( % 0.45/0.64 (declare-sort tptp.a 0) % 0.45/0.64 (define @t1 () (@var "Xy" tptp.a)) % 0.45/0.64 (define @t2 () (@var "Xx" tptp.a)) % 0.45/0.64 (define @t3 () (@var "Xp1" (-> tptp.a tptp.a Bool))) % 0.45/0.64 (define @t4 () (_ (_ @t3 @t2) @t1)) % 0.45/0.64 (define @t5 () (@var "Xz" tptp.a)) % 0.45/0.64 (define @t6 () (@var "Xx0" tptp.a)) % 0.45/0.64 (define @t7 () (_ @t3 @t6)) % 0.45/0.64 (define @t8 () (_ @t7 @t5)) % 0.45/0.64 (define @t9 () (@var "Xy0" tptp.a)) % 0.45/0.64 (define @t10 () (_ (_ @t3 @t9) @t5)) % 0.45/0.64 (define @t11 () (_ @t7 @t9)) % 0.45/0.64 (define @t12 () (and @t11 @t10)) % 0.45/0.64 (define @t13 () (@list @t6 @t9 @t5)) % 0.45/0.64 (define @t14 () (forall @t13 (=> @t12 @t8))) % 0.45/0.64 (define @t15 () (@var "Xtt" tptp.a)) % 0.45/0.64 (define @t16 () (@var "Xss" tptp.a)) % 0.45/0.64 (define @t17 () (_ (_ @t3 @t16) @t15)) % 0.45/0.64 (define @t18 () (@var "Xq3" (-> tptp.a tptp.a Bool))) % 0.45/0.64 (define @t19 () (_ (_ @t18 @t16) @t15)) % 0.45/0.64 (define @t20 () (_ @t18 @t6)) % 0.45/0.64 (define @t21 () (_ @t20 @t5)) % 0.45/0.64 (define @t22 () (_ (_ @t18 @t9) @t5)) % 0.45/0.64 (define @t23 () (_ @t20 @t9)) % 0.45/0.64 (define @t24 () (and @t23 @t22)) % 0.45/0.64 (define @t25 () (forall @t13 (=> @t24 @t21))) % 0.45/0.64 (define @t26 () (@var "Xtttt" tptp.a)) % 0.45/0.64 (define @t27 () (@var "Xssss" tptp.a)) % 0.45/0.64 (define @t28 () (_ (_ @t18 @t27) @t26)) % 0.45/0.64 (define @t29 () (@var "S" (-> tptp.a tptp.a Bool))) % 0.45/0.64 (define @t30 () (_ (_ @t29 @t27) @t26)) % 0.45/0.64 (define @t31 () (@list @t27 @t26)) % 0.45/0.64 (define @t32 () (forall @t31 (=> @t30 @t28))) % 0.45/0.64 (define @t33 () (and @t32 @t25)) % 0.45/0.64 (define @t34 () (=> @t33 @t19)) % 0.45/0.64 (define @t35 () (@list @t18)) % 0.45/0.64 (define @t36 () (forall @t35 @t34)) % 0.45/0.64 (define @t37 () (@var "Xq2" (-> tptp.a tptp.a Bool))) % 0.45/0.64 (define @t38 () (_ (_ @t37 @t16) @t15)) % 0.45/0.64 (define @t39 () (_ @t37 @t6)) % 0.45/0.64 (define @t40 () (_ @t39 @t5)) % 0.45/0.64 (define @t41 () (_ (_ @t37 @t9) @t5)) % 0.45/0.64 (define @t42 () (_ @t39 @t9)) % 0.45/0.64 (define @t43 () (and @t42 @t41)) % 0.45/0.64 (define @t44 () (forall @t13 (=> @t43 @t40))) % 0.45/0.64 (define @t45 () (@var "Xttt" tptp.a)) % 0.45/0.64 (define @t46 () (@var "Xsss" tptp.a)) % 0.45/0.64 (define @t47 () (_ (_ @t37 @t46) @t45)) % 0.45/0.64 (define @t48 () (@var "R" (-> tptp.a tptp.a Bool))) % 0.45/0.64 (define @t49 () (_ (_ @t48 @t46) @t45)) % 0.45/0.64 (define @t50 () (@list @t46 @t45)) % 0.45/0.64 (define @t51 () (forall @t50 (=> @t49 @t47))) % 0.45/0.64 (define @t52 () (and @t51 @t44)) % 0.45/0.64 (define @t53 () (=> @t52 @t38)) % 0.45/0.64 (define @t54 () (@list @t37)) % 0.45/0.64 (define @t55 () (forall @t54 @t53)) % 0.45/0.64 (define @t56 () (or @t55 @t36)) % 0.45/0.64 (define @t57 () (=> @t56 @t17)) % 0.45/0.64 (define @t58 () (@list @t16 @t15)) % 0.45/0.64 (define @t59 () (forall @t58 @t57)) % 0.45/0.64 (define @t60 () (and @t59 @t14)) % 0.45/0.64 (define @t61 () (=> @t60 @t4)) % 0.45/0.64 (define @t62 () (@list @t3)) % 0.45/0.64 (define @t63 () (forall @t62 @t61)) % 0.45/0.64 (define @t64 () (@var "Xq1" (-> tptp.a tptp.a Bool))) % 0.45/0.64 (define @t65 () (_ (_ @t64 @t2) @t1)) % 0.45/0.64 (define @t66 () (_ @t64 @t6)) % 0.45/0.64 (define @t67 () (_ @t66 @t5)) % 0.45/0.64 (define @t68 () (_ (_ @t64 @t9) @t5)) % 0.45/0.64 (define @t69 () (_ @t66 @t9)) % 0.45/0.64 (define @t70 () (and @t69 @t68)) % 0.45/0.64 (define @t71 () (forall @t13 (=> @t70 @t67))) % 0.45/0.64 (define @t72 () (@var "Xt" tptp.a)) % 0.45/0.64 (define @t73 () (@var "Xs" tptp.a)) % 0.45/0.64 (define @t74 () (_ (_ @t64 @t73) @t72)) % 0.45/0.64 (define @t75 () (_ (_ @t29 @t73) @t72)) % 0.45/0.64 (define @t76 () (_ (_ @t48 @t73) @t72)) % 0.45/0.64 (define @t77 () (or @t76 @t75)) % 0.45/0.64 (define @t78 () (@list @t73 @t72)) % 0.45/0.64 (define @t79 () (forall @t78 (=> @t77 @t74))) % 0.45/0.64 (define @t80 () (and @t79 @t71)) % 0.45/0.64 (define @t81 () (=> @t80 @t65)) % 0.45/0.64 (define @t82 () (@list @t64)) % 0.45/0.64 (define @t83 () (forall @t82 @t81)) % 0.45/0.64 (define @t84 () (=> @t83 @t63)) % 0.45/0.64 (define @t85 () (@list @t48 @t29 @t2 @t1)) % 0.45/0.64 (define @t86 () (forall @t85 @t84)) % 0.45/0.64 (define @t87 () (not @t86)) % 0.45/0.64 (define @t88 () (@var "BOUND_VARIABLE_7666" (-> tptp.a tptp.a Bool))) % 0.45/0.64 (define @t89 () (_ @t88 @t2 @t1)) % 0.45/0.64 (define @t90 () (not (forall @t13 (or (not (_ @t88 @t6 @t9)) (not (_ @t88 @t9 @t5)) (_ @t88 @t6 @t5))))) % 0.45/0.64 (define @t91 () (_ @t18 @t16 @t15)) % 0.45/0.64 (define @t92 () (_ @t18 @t6 @t5)) % 0.45/0.64 (define @t93 () (_ @t18 @t9 @t5)) % 0.45/0.64 (define @t94 () (_ @t18 @t6 @t9)) % 0.45/0.64 (define @t95 () (forall @t13 (or (not @t94) (not @t93) @t92))) % 0.45/0.64 (define @t96 () (not @t95)) % 0.45/0.64 (define @t97 () (_ @t18 @t27 @t26)) % 0.45/0.64 (define @t98 () (_ @t29 @t27 @t26)) % 0.45/0.64 (define @t99 () (forall @t31 (or (not @t98) @t97))) % 0.45/0.64 (define @t100 () (not @t99)) % 0.45/0.64 (define @t101 () (forall @t35 (or @t100 @t96 @t91))) % 0.45/0.64 (define @t102 () (_ @t37 @t16 @t15)) % 0.45/0.64 (define @t103 () (_ @t37 @t6 @t5)) % 0.45/0.64 (define @t104 () (_ @t37 @t9 @t5)) % 0.45/0.64 (define @t105 () (_ @t37 @t6 @t9)) % 0.45/0.64 (define @t106 () (forall @t13 (or (not @t105) (not @t104) @t103))) % 0.45/0.64 (define @t107 () (not @t106)) % 0.45/0.64 (define @t108 () (_ @t37 @t46 @t45)) % 0.45/0.64 (define @t109 () (_ @t48 @t46 @t45)) % 0.45/0.64 (define @t110 () (forall @t50 (or (not @t109) @t108))) % 0.45/0.64 (define @t111 () (not @t110)) % 0.45/0.64 (define @t112 () (forall @t54 (or @t111 @t107 @t102))) % 0.45/0.64 (define @t113 () (and (not @t112) (not @t101))) % 0.45/0.64 (define @t114 () (not (forall @t58 (or @t113 (_ @t88 @t16 @t15))))) % 0.45/0.64 (define @t115 () (_ @t64 @t2 @t1)) % 0.45/0.64 (define @t116 () (_ @t64 @t6 @t5)) % 0.45/0.64 (define @t117 () (_ @t64 @t9 @t5)) % 0.45/0.64 (define @t118 () (_ @t64 @t6 @t9)) % 0.45/0.64 (define @t119 () (forall @t13 (or (not @t118) (not @t117) @t116))) % 0.45/0.64 (define @t120 () (not @t119)) % 0.45/0.64 (define @t121 () (_ @t64 @t73 @t72)) % 0.45/0.64 (define @t122 () (_ @t29 @t73 @t72)) % 0.45/0.64 (define @t123 () (_ @t48 @t73 @t72)) % 0.45/0.64 (define @t124 () (forall @t78 (or (and (not @t123) (not @t122)) @t121))) % 0.45/0.64 (define @t125 () (not @t124)) % 0.45/0.64 (define @t126 () (forall @t82 (or @t125 @t120 @t115))) % 0.45/0.64 (define @t127 () (not @t126)) % 0.45/0.64 (define @t128 () (or @t127 @t114 @t90 @t89)) % 0.45/0.64 (define @t129 () (or @t114 @t90 @t89)) % 0.45/0.64 (define @t130 () (or @t127 @t129)) % 0.45/0.64 (define @t131 () (@list @t48 @t29 @t2 @t1 @t88)) % 0.45/0.64 (define @t132 () (forall @t131 @t130)) % 0.45/0.64 (define @t133 () (@list @t88)) % 0.45/0.64 (define @t134 () (forall @t133 @t130)) % 0.45/0.64 (define @t135 () (forall @t133 @t129)) % 0.45/0.64 (define @t136 () (or @t127 @t135)) % 0.45/0.64 (define @t137 () (_ @t3 @t2 @t1)) % 0.45/0.64 (define @t138 () (_ @t3 @t6 @t5)) % 0.45/0.64 (define @t139 () (_ @t3 @t9 @t5)) % 0.45/0.64 (define @t140 () (_ @t3 @t6 @t9)) % 0.45/0.64 (define @t141 () (forall @t13 (or (not @t140) (not @t139) @t138))) % 0.45/0.64 (define @t142 () (not @t141)) % 0.45/0.64 (define @t143 () (_ @t3 @t16 @t15)) % 0.45/0.64 (define @t144 () (forall @t58 (or @t113 @t143))) % 0.45/0.64 (define @t145 () (not @t144)) % 0.45/0.64 (define @t146 () (forall @t62 (or @t145 @t142 @t137))) % 0.45/0.64 (define @t147 () (or @t145 @t142 @t4)) % 0.45/0.64 (define @t148 () (and @t144 @t141)) % 0.45/0.64 (define @t149 () (not @t10)) % 0.45/0.64 (define @t150 () (not @t11)) % 0.45/0.64 (define @t151 () (or @t150 @t149 @t8)) % 0.45/0.64 (define @t152 () (or @t113 @t17)) % 0.45/0.64 (define @t153 () (or @t112 @t101)) % 0.45/0.65 (define @t154 () (or @t100 @t96 @t19)) % 0.45/0.65 (define @t155 () (and @t99 @t95)) % 0.45/0.65 (define @t156 () (not @t22)) % 0.45/0.65 (define @t157 () (not @t23)) % 0.45/0.65 (define @t158 () (or @t157 @t156 @t21)) % 0.45/0.65 (define @t159 () (not @t30)) % 0.45/0.65 (define @t160 () (or @t159 @t28)) % 0.45/0.65 (define @t161 () (or @t111 @t107 @t38)) % 0.45/0.65 (define @t162 () (and @t110 @t106)) % 0.45/0.65 (define @t163 () (not @t41)) % 0.45/0.65 (define @t164 () (not @t42)) % 0.45/0.65 (define @t165 () (or @t164 @t163 @t40)) % 0.45/0.65 (define @t166 () (not @t49)) % 0.45/0.65 (define @t167 () (or @t166 @t47)) % 0.45/0.65 (define @t168 () (or @t125 @t120 @t65)) % 0.45/0.65 (define @t169 () (and @t124 @t119)) % 0.45/0.65 (define @t170 () (not @t68)) % 0.45/0.65 (define @t171 () (not @t69)) % 0.45/0.65 (define @t172 () (or @t171 @t170 @t67)) % 0.45/0.65 (define @t173 () (not @t75)) % 0.45/0.65 (define @t174 () (not @t76)) % 0.45/0.65 (define @t175 () (and @t174 @t173)) % 0.45/0.65 (define @t176 () (or @t175 @t74)) % 0.45/0.65 (define @t177 () (forall @t131 @t128)) % 0.45/0.65 (define @t178 () (@quantifiers_skolemize @t177 4)) % 0.45/0.65 (define @t179 () (@quantifiers_skolemize @t177 1)) % 0.45/0.65 (define @t180 () (not (_ @t179 @t27 @t26))) % 0.45/0.65 (define @t181 () (not (forall @t31 (or @t180 @t97)))) % 0.45/0.65 (define @t182 () (@quantifiers_skolemize @t177 0)) % 0.45/0.65 (define @t183 () (not (_ @t182 @t46 @t45))) % 0.45/0.65 (define @t184 () (not (forall @t50 (or @t183 @t108)))) % 0.45/0.65 (define @t185 () (forall @t58 (or (and (not (forall @t54 (or @t184 @t107 @t102))) (not (forall @t35 (or @t181 @t96 @t91)))) (_ @t178 @t16 @t15)))) % 0.45/0.65 (define @t186 () (@quantifiers_skolemize @t177 3)) % 0.45/0.65 (define @t187 () (@quantifiers_skolemize @t177 2)) % 0.45/0.65 (define @t188 () (_ @t178 @t187 @t186)) % 0.45/0.65 (define @t189 () (forall @t13 (or (not (_ @t178 @t6 @t9)) (not (_ @t178 @t9 @t5)) (_ @t178 @t6 @t5)))) % 0.45/0.65 (define @t190 () (not @t189)) % 0.45/0.65 (define @t191 () (not @t185)) % 0.45/0.65 (define @t192 () (and (not (_ @t182 @t73 @t72)) (not (_ @t179 @t73 @t72)))) % 0.45/0.65 (define @t193 () (forall @t82 (or (not (forall @t78 (or @t192 @t121))) @t120 (_ @t64 @t187 @t186)))) % 0.45/0.65 (define @t194 () (not @t193)) % 0.45/0.65 (define @t195 () (or @t194 @t191 @t190 @t188)) % 0.45/0.65 (define @t196 () (@list true)) % 0.45/0.65 (define @t197 () (@list @t195)) % 0.45/0.65 (define @t198 () (forall @t78 (or @t192 (_ @t178 @t73 @t72)))) % 0.45/0.65 (define @t199 () (@quantifiers_skolemize @t198 1)) % 0.45/0.65 (define @t200 () (@quantifiers_skolemize @t198 0)) % 0.45/0.65 (define @t201 () (@list @t200 @t199)) % 0.45/0.65 (define @t202 () (not @t198)) % 0.45/0.65 (define @t203 () (or @t202 @t190 @t188)) % 0.45/0.65 (define @t204 () (_ @t178 @t200 @t199)) % 0.45/0.65 (define @t205 () (_ @t179 @t200 @t199)) % 0.45/0.65 (define @t206 () (not @t205)) % 0.45/0.65 (define @t207 () (_ @t182 @t200 @t199)) % 0.45/0.65 (define @t208 () (not @t207)) % 0.45/0.65 (define @t209 () (and @t208 @t206)) % 0.45/0.65 (define @t210 () (or @t209 @t204)) % 0.45/0.65 (define @t211 () (@list @t210)) % 0.45/0.65 (define @t212 () (forall @t35 (or @t181 @t96 (_ @t18 @t200 @t199)))) % 0.45/0.65 (define @t213 () (not @t212)) % 0.45/0.65 (define @t214 () (forall @t54 (or @t184 @t107 (_ @t37 @t200 @t199)))) % 0.45/0.65 (define @t215 () (not @t214)) % 0.45/0.65 (define @t216 () (and @t215 @t213)) % 0.45/0.65 (define @t217 () (or @t216 @t204)) % 0.45/0.65 (define @t218 () (@list true false)) % 0.45/0.65 (define @t219 () (not @t216)) % 0.45/0.65 (define @t220 () (@list false)) % 0.45/0.65 (define @t221 () (@list @t216)) % 0.45/0.65 (define @t222 () (@quantifiers_skolemize @t212 0)) % 0.45/0.65 (define @t223 () (forall @t31 (or @t180 (_ @t222 @t27 @t26)))) % 0.45/0.65 (define @t224 () (_ @t222 @t200 @t199)) % 0.45/0.65 (define @t225 () (not @t223)) % 0.45/0.65 (define @t226 () (or @t225 (not (forall @t13 (or (not (_ @t222 @t6 @t9)) (not (_ @t222 @t9 @t5)) (_ @t222 @t6 @t5)))) @t224)) % 0.45/0.65 (define @t227 () (@list @t226)) % 0.45/0.65 (define @t228 () (@quantifiers_skolemize @t214 0)) % 0.45/0.65 (define @t229 () (forall @t50 (or @t183 (_ @t228 @t46 @t45)))) % 0.45/0.65 (define @t230 () (_ @t228 @t200 @t199)) % 0.45/0.65 (define @t231 () (not @t229)) % 0.45/0.65 (define @t232 () (or @t231 (not (forall @t13 (or (not (_ @t228 @t6 @t9)) (not (_ @t228 @t9 @t5)) (_ @t228 @t6 @t5)))) @t230)) % 0.45/0.65 (define @t233 () (@list @t232)) % 0.45/0.65 (define @t234 () (or @t208 @t230)) % 0.45/0.65 (define @t235 () (or @t206 @t224)) % 0.45/0.65 (define @t236 () (not @t235)) % 0.45/0.65 (assume @p1 @t87) % 0.45/0.65 (assume @p2 true) % 0.45/0.65 (step @p3 :rule aci_norm :args ((= @t130 @t128))) % 0.45/0.65 (step @p4 :rule cong :premises (@p3) :args (@t132)) % 0.45/0.65 (step @p5 :rule quant-merge-prenex :args ((= (forall @t85 @t134) @t132))) % 0.45/0.65 (step @p6 :rule alpha_equiv :args (@t135 (@list @t88) (@list @t3))) % 0.45/0.65 (step @p7 :rule refl :args (@t127)) % 0.45/0.65 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t136)) % 0.45/0.65 (step @p9 :rule quant-miniscope-or :args ((= @t134 @t136))) % 0.45/0.65 (step @p10 :rule trans :premises (@p9 @p8)) % 0.45/0.65 (step @p11 :rule symm :premises (@p10)) % 0.45/0.65 (step @p12 :rule cong :premises 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(step @p286 :rule trans :premises (@p285 @p280)) % 0.45/0.65 (step @p287 :rule nary_cong :premises (@p286 @p260) :args (@t80)) % 0.45/0.65 (step @p288 :rule cong :premises (@p287 @p233) :args (@t81)) % 0.45/0.65 (step @p289 :rule cong :premises (@p288) :args (@t83)) % 0.45/0.65 (step @p290 :rule trans :premises (@p289 @p232)) % 0.45/0.65 (step @p291 :rule cong :premises (@p290 @p215) :args (@t84)) % 0.45/0.65 (step @p292 :rule cong :premises (@p291) :args (@t86)) % 0.45/0.65 (step @p293 :rule trans :premises (@p292 @p17)) % 0.45/0.65 (step @p294 :rule cong :premises (@p293) :args (@t87)) % 0.45/0.65 (step @p295 :rule eq_resolve :premises (@p1 @p294)) % 0.45/0.65 (step @p296 :rule skolemize :premises (@p295)) % 0.45/0.65 (step @p297 :rule bool-double-not-elim :args (@t185)) % 0.45/0.65 (step @p298 :rule refl :args (@t195)) % 0.45/0.65 (step @p299 :rule nary_cong :premises (@p298 @p297) :args ((or @t195 (not @t191)))) % 0.45/0.65 (step @p300 :rule cnf_or_neg :args (@t195 1)) % 0.45/0.65 (step @p301 :rule eq_resolve :premises (@p300 @p299)) % 0.45/0.65 (step @p302 :rule reordering :premises (@p301) :args ((or @t185 @t195))) % 0.45/0.65 (step @p303 :rule chain_m_resolution :premises (@p302 @p296) :args (@t185 @t196 @t197)) % 0.45/0.65 (step @p304 :rule instantiate :premises (@p303) :args (@t201)) % 0.45/0.65 (step @p305 :rule bool-double-not-elim :args (@t193)) % 0.45/0.65 (step @p306 :rule nary_cong :premises (@p298 @p305) :args ((or @t195 (not @t194)))) % 0.45/0.65 (step @p307 :rule cnf_or_neg :args (@t195 0)) % 0.45/0.65 (step @p308 :rule eq_resolve :premises (@p307 @p306)) % 0.45/0.65 (step @p309 :rule reordering :premises (@p308) :args ((or @t193 @t195))) % 0.45/0.65 (step @p310 :rule chain_m_resolution :premises (@p309 @p296) :args (@t193 @t196 @t197)) % 0.45/0.65 (step @p311 :rule instantiate :premises (@p310) :args ((@list @t178))) % 0.45/0.65 (step @p312 :rule cnf_or_neg :args (@t195 3)) % 0.45/0.65 (step @p313 :rule chain_m_resolution :premises (@p312 @p296) :args ((not @t188) @t196 @t197)) % 0.45/0.65 (step @p314 :rule bool-double-not-elim :args (@t189)) % 0.45/0.65 (step @p315 :rule nary_cong :premises (@p298 @p314) :args ((or @t195 (not @t190)))) % 0.45/0.65 (step @p316 :rule cnf_or_neg :args (@t195 2)) % 0.45/0.65 (step @p317 :rule eq_resolve :premises (@p316 @p315)) % 0.45/0.65 (step @p318 :rule reordering :premises (@p317) :args ((or @t189 @t195))) % 0.45/0.65 (step @p319 :rule chain_m_resolution :premises (@p318 @p296) :args (@t189 @t196 @t197)) % 0.45/0.65 (step @p320 :rule cnf_or_pos :args (@t203)) % 0.45/0.65 (step @p321 :rule reordering :premises (@p320) :args ((or @t190 @t188 @t202 (not @t203)))) % 0.45/0.65 (step @p322 :rule chain_m_resolution :premises (@p321 @p319 @p313 @p311) :args (@t202 (@list false true false) (@list @t189 @t188 @t203))) % 0.45/0.65 (step @p323 :rule skolemize :premises (@p322)) % 0.45/0.65 (step @p324 :rule cnf_or_neg :args (@t210 1)) % 0.45/0.65 (step @p325 :rule chain_m_resolution :premises (@p324 @p323) :args ((not @t204) @t196 @t211)) % 0.45/0.65 (step @p326 :rule cnf_or_pos :args (@t217)) % 0.45/0.65 (step @p327 :rule reordering :premises (@p326) :args ((or @t204 @t216 (not @t217)))) % 0.45/0.65 (step @p328 :rule chain_m_resolution :premises (@p327 @p325 @p304) :args (@t216 @t218 (@list @t204 @t217))) % 0.45/0.65 (step @p329 :rule cnf_and_pos :args (@t216 1)) % 0.45/0.65 (step @p330 :rule reordering :premises (@p329) :args ((or @t213 @t219))) % 0.45/0.65 (step @p331 :rule chain_m_resolution :premises (@p330 @p328) :args (@t213 @t220 @t221)) % 0.45/0.65 (step @p332 :rule skolemize :premises (@p331)) % 0.45/0.65 (step @p333 :rule bool-double-not-elim :args (@t223)) % 0.45/0.65 (step @p334 :rule refl :args (@t226)) % 0.45/0.65 (step @p335 :rule nary_cong :premises (@p334 @p333) :args ((or @t226 (not @t225)))) % 0.45/0.65 (step @p336 :rule cnf_or_neg :args (@t226 0)) % 0.45/0.65 (step @p337 :rule eq_resolve :premises (@p336 @p335)) % 0.45/0.65 (step @p338 :rule reordering :premises (@p337) :args ((or @t223 @t226))) % 0.45/0.65 (step @p339 :rule chain_m_resolution :premises (@p338 @p332) :args (@t223 @t196 @t227)) % 0.45/0.65 (step @p340 :rule cnf_or_neg :args (@t226 2)) % 0.45/0.65 (step @p341 :rule chain_m_resolution :premises (@p340 @p332) :args ((not @t224) @t196 @t227)) % 0.45/0.65 (step @p342 :rule cnf_or_neg :args (@t210 0)) % 0.45/0.65 (step @p343 :rule chain_m_resolution :premises (@p342 @p323) :args ((not @t209) @t196 @t211)) % 0.45/0.65 (step @p344 :rule cnf_and_pos :args (@t216 0)) % 0.45/0.65 (step @p345 :rule reordering :premises (@p344) :args ((or @t215 @t219))) % 0.45/0.65 (step @p346 :rule chain_m_resolution :premises (@p345 @p328) :args (@t215 @t220 @t221)) % 0.45/0.65 (step @p347 :rule skolemize :premises (@p346)) % 0.45/0.65 (step @p348 :rule bool-double-not-elim :args (@t229)) % 0.45/0.65 (step @p349 :rule refl :args (@t232)) % 0.45/0.65 (step @p350 :rule nary_cong :premises (@p349 @p348) :args ((or @t232 (not @t231)))) % 0.45/0.65 (step @p351 :rule cnf_or_neg :args (@t232 0)) % 0.45/0.65 (step @p352 :rule eq_resolve :premises (@p351 @p350)) % 0.45/0.65 (step @p353 :rule reordering :premises (@p352) :args ((or @t229 @t232))) % 0.45/0.65 (step @p354 :rule chain_m_resolution :premises (@p353 @p347) :args (@t229 @t196 @t233)) % 0.45/0.65 (step @p355 :rule instantiate :premises (@p354) :args (@t201)) % 0.45/0.65 (step @p356 :rule cnf_or_neg :args (@t232 2)) % 0.45/0.65 (step @p357 :rule chain_m_resolution :premises (@p356 @p347) :args ((not @t230) @t196 @t233)) % 0.45/0.65 (step @p358 :rule cnf_or_pos :args (@t234)) % 0.45/0.65 (step @p359 :rule reordering :premises (@p358) :args ((or @t208 @t230 (not @t234)))) % 0.45/0.65 (step @p360 :rule chain_m_resolution :premises (@p359 @p357 @p355) :args (@t208 @t218 (@list @t230 @t234))) % 0.45/0.65 (step @p361 :rule bool-double-not-elim :args (@t205)) % 0.45/0.65 (step @p362 :rule bool-double-not-elim :args (@t207)) % 0.45/0.65 (step @p363 :rule refl :args (@t209)) % 0.45/0.65 (step @p364 :rule nary_cong :premises (@p363 @p362 @p361) :args ((or @t209 (not @t208) (not @t206)))) % 0.45/0.65 (step @p365 :rule cnf_and_neg :args (@t209)) % 0.45/0.65 (step @p366 :rule eq_resolve :premises (@p365 @p364)) % 0.45/0.65 (step @p367 :rule reordering :premises (@p366) :args ((or @t207 @t205 @t209))) % 0.45/0.65 (step @p368 :rule chain_m_resolution :premises (@p367 @p360 @p343) :args (@t205 (@list true true) (@list @t207 @t209))) % 0.45/0.65 (step @p369 :rule cnf_or_pos :args (@t235)) % 0.45/0.65 (step @p370 :rule reordering :premises (@p369) :args ((or @t206 @t224 @t236))) % 0.45/0.65 (step @p371 :rule chain_m_resolution :premises (@p370 @p368 @p341) :args (@t236 (@list false true) (@list @t205 @t224))) % 0.45/0.65 (assume-push @p378 @t223) % 0.45/0.65 (step @p373 :rule instantiate :premises (@p339) :args (@t201)) % 0.45/0.65 (step-pop @p379 :rule scope :premises (@p373)) % 0.45/0.65 (step @p374 :rule process_scope :premises (@p379) :args (@t235)) % 0.45/0.65 (step @p376 :rule implies_elim :premises (@p374)) % 0.45/0.65 (step @p377 false :rule chain_m_resolution :premises (@p376 @p371 @p339) :args (false @t218 (@list @t235 @t223))) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------