%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV037^5 : 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 : n001.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 2.01s 2.28s % Output : Proof 2.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV037^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.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 18:10:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 2.01/2.28 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 2.01/2.28 % SZS status Theorem % 2.01/2.28 % SZS output start Proof % 2.01/2.28 ( % 2.01/2.28 (declare-sort tptp.a 0) % 2.01/2.28 (declare-sort tptp.b 0) % 2.01/2.28 (define @t1 () (@var "Xy" tptp.a)) % 2.01/2.28 (define @t2 () (@var "Xg" (-> tptp.a tptp.b))) % 2.01/2.28 (define @t3 () (_ @t2 @t1)) % 2.01/2.28 (define @t4 () (@var "Xx" tptp.a)) % 2.01/2.28 (define @t5 () (@var "Xf" (-> tptp.a tptp.b))) % 2.01/2.28 (define @t6 () (_ @t5 @t4)) % 2.01/2.28 (define @t7 () (@var "Xr" (-> tptp.a tptp.b tptp.b Bool))) % 2.01/2.28 (define @t8 () (_ @t7 @t4)) % 2.01/2.28 (define @t9 () (_ (_ @t8 @t6) @t3)) % 2.01/2.28 (define @t10 () (@var "Xq" (-> tptp.a tptp.a Bool))) % 2.01/2.28 (define @t11 () (_ (_ @t10 @t4) @t1)) % 2.01/2.28 (define @t12 () (@list @t4 @t1)) % 2.01/2.28 (define @t13 () (forall @t12 (=> @t11 @t9))) % 2.01/2.28 (define @t14 () (@list @t5 @t2)) % 2.01/2.28 (define @t15 () (lambda @t14 @t13)) % 2.01/2.28 (define @t16 () (@var "Xp" (-> tptp.a tptp.a Bool))) % 2.01/2.28 (define @t17 () (_ @t16 @t4)) % 2.01/2.28 (define @t18 () (_ @t17 @t1)) % 2.01/2.28 (define @t19 () (forall @t12 (=> @t18 @t9))) % 2.01/2.28 (define @t20 () (lambda @t14 @t19)) % 2.01/2.28 (define @t21 () (= @t20 @t15)) % 2.01/2.28 (define @t22 () (@var "Xy0" tptp.a)) % 2.01/2.28 (define @t23 () (@var "Xz" (-> tptp.a tptp.b))) % 2.01/2.28 (define @t24 () (_ @t23 @t22)) % 2.01/2.28 (define @t25 () (@var "Xx0" tptp.a)) % 2.01/2.28 (define @t26 () (@var "Xx" (-> tptp.a tptp.b))) % 2.01/2.28 (define @t27 () (_ @t26 @t25)) % 2.01/2.28 (define @t28 () (_ @t7 @t25)) % 2.01/2.28 (define @t29 () (_ @t28 @t27)) % 2.01/2.28 (define @t30 () (_ @t29 @t24)) % 2.01/2.28 (define @t31 () (_ (_ @t16 @t25) @t22)) % 2.01/2.28 (define @t32 () (@list @t25 @t22)) % 2.01/2.28 (define @t33 () (forall @t32 (=> @t31 @t30))) % 2.01/2.28 (define @t34 () (@var "Xy" (-> tptp.a tptp.b))) % 2.01/2.28 (define @t35 () (_ @t34 @t25)) % 2.01/2.28 (define @t36 () (_ @t28 @t35)) % 2.01/2.28 (define @t37 () (_ @t36 @t24)) % 2.01/2.28 (define @t38 () (forall @t32 (=> @t31 @t37))) % 2.01/2.28 (define @t39 () (_ @t34 @t22)) % 2.01/2.28 (define @t40 () (_ @t29 @t39)) % 2.01/2.28 (define @t41 () (forall @t32 (=> @t31 @t40))) % 2.01/2.28 (define @t42 () (and @t41 @t38)) % 2.01/2.28 (define @t43 () (=> @t42 @t33)) % 2.01/2.28 (define @t44 () (@list @t26 @t34 @t23)) % 2.01/2.28 (define @t45 () (forall @t44 @t43)) % 2.01/2.28 (define @t46 () (_ @t26 @t22)) % 2.01/2.28 (define @t47 () (_ @t36 @t46)) % 2.01/2.28 (define @t48 () (forall @t32 (=> @t31 @t47))) % 2.01/2.28 (define @t49 () (=> @t41 @t48)) % 2.01/2.28 (define @t50 () (@list @t26 @t34)) % 2.01/2.28 (define @t51 () (forall @t50 @t49)) % 2.01/2.28 (define @t52 () (and @t51 @t45 @t21)) % 2.01/2.28 (define @t53 () (= @t8 (_ @t7 @t1))) % 2.01/2.28 (define @t54 () (@var "Xz" tptp.b)) % 2.01/2.28 (define @t55 () (@var "Xx0" tptp.b)) % 2.01/2.28 (define @t56 () (_ @t8 @t55)) % 2.01/2.28 (define @t57 () (_ @t56 @t54)) % 2.01/2.28 (define @t58 () (@var "Xy0" tptp.b)) % 2.01/2.28 (define @t59 () (_ @t8 @t58)) % 2.01/2.28 (define @t60 () (_ @t59 @t54)) % 2.01/2.28 (define @t61 () (_ @t56 @t58)) % 2.01/2.28 (define @t62 () (and @t61 @t60)) % 2.01/2.28 (define @t63 () (@list @t55 @t58 @t54)) % 2.01/2.28 (define @t64 () (forall @t63 (=> @t62 @t57))) % 2.01/2.28 (define @t65 () (_ @t59 @t55)) % 2.01/2.28 (define @t66 () (@list @t55 @t58)) % 2.01/2.28 (define @t67 () (forall @t66 (=> @t61 @t65))) % 2.01/2.28 (define @t68 () (and @t67 @t64 @t53)) % 2.01/2.28 (define @t69 () (=> @t18 @t68)) % 2.01/2.28 (define @t70 () (forall @t12 @t69)) % 2.01/2.28 (define @t71 () (=> @t70 @t52)) % 2.01/2.28 (define @t72 () (= @t16 @t10)) % 2.01/2.28 (define @t73 () (@var "Xz" tptp.a)) % 2.01/2.28 (define @t74 () (_ @t17 @t73)) % 2.01/2.28 (define @t75 () (_ @t16 @t1)) % 2.01/2.28 (define @t76 () (_ @t75 @t73)) % 2.01/2.28 (define @t77 () (and @t18 @t76)) % 2.01/2.28 (define @t78 () (@list @t4 @t1 @t73)) % 2.01/2.28 (define @t79 () (forall @t78 (=> @t77 @t74))) % 2.01/2.28 (define @t80 () (_ @t75 @t4)) % 2.01/2.28 (define @t81 () (forall @t12 (=> @t18 @t80))) % 2.01/2.28 (define @t82 () (and @t81 @t79 @t72)) % 2.01/2.28 (define @t83 () (=> @t82 @t71)) % 2.01/2.28 (define @t84 () (@list @t16 @t10 @t7)) % 2.01/2.28 (define @t85 () (forall @t84 @t83)) % 2.01/2.28 (define @t86 () (not @t85)) % 2.01/2.28 (define @t87 () (@var "BOUND_VARIABLE_7723" tptp.a)) % 2.01/2.28 (define @t88 () (@var "BOUND_VARIABLE_7719" (-> tptp.a tptp.b))) % 2.01/2.28 (define @t89 () (@var "BOUND_VARIABLE_7721" tptp.a)) % 2.01/2.28 (define @t90 () (@var "BOUND_VARIABLE_7715" (-> tptp.a tptp.b))) % 2.01/2.28 (define @t91 () (_ @t7 @t89 (_ @t90 @t89) (_ @t88 @t87))) % 2.01/2.28 (define @t92 () (@var "BOUND_VARIABLE_7717" (-> tptp.a tptp.b))) % 2.01/2.28 (define @t93 () (_ @t7 @t25 (_ @t92 @t25) (_ @t88 @t22))) % 2.01/2.28 (define @t94 () (not (_ @t10 @t25 @t22))) % 2.01/2.28 (define @t95 () (_ @t7 @t25 (_ @t90 @t25) (_ @t92 @t22))) % 2.01/2.28 (define @t96 () (or (not (forall @t32 (or @t94 @t95))) (not (forall @t32 (or @t94 @t93))) (not (_ @t10 @t89 @t87)) @t91)) % 2.01/2.28 (define @t97 () (@var "BOUND_VARIABLE_7701" tptp.a)) % 2.01/2.28 (define @t98 () (@var "BOUND_VARIABLE_7695" (-> tptp.a tptp.b))) % 2.01/2.28 (define @t99 () (@var "BOUND_VARIABLE_7699" tptp.a)) % 2.01/2.28 (define @t100 () (@var "BOUND_VARIABLE_7697" (-> tptp.a tptp.b))) % 2.01/2.28 (define @t101 () (_ @t7 @t99 (_ @t100 @t99) (_ @t98 @t97))) % 2.01/2.28 (define @t102 () (_ @t7 @t25 (_ @t98 @t25) (_ @t100 @t22))) % 2.01/2.28 (define @t103 () (or (not (forall @t32 (or @t94 @t102))) (not (_ @t10 @t99 @t97)) @t101)) % 2.01/2.28 (define @t104 () (and @t103 @t96)) % 2.01/2.28 (define @t105 () (@var "BOUND_VARIABLE_7571" tptp.b)) % 2.01/2.28 (define @t106 () (@var "BOUND_VARIABLE_7567" tptp.b)) % 2.01/2.28 (define @t107 () (@var "BOUND_VARIABLE_7569" tptp.b)) % 2.01/2.28 (define @t108 () (or (not (_ @t7 @t4 @t106 @t107)) (not (_ @t7 @t4 @t107 @t105)) (_ @t7 @t4 @t106 @t105))) % 2.01/2.28 (define @t109 () (@var "BOUND_VARIABLE_7559" tptp.b)) % 2.01/2.28 (define @t110 () (@var "BOUND_VARIABLE_7561" tptp.b)) % 2.01/2.28 (define @t111 () (or (not (_ @t7 @t4 @t109 @t110)) (_ @t7 @t4 @t110 @t109))) % 2.01/2.28 (define @t112 () (and @t111 @t108 @t53)) % 2.01/2.28 (define @t113 () (_ @t10 @t4 @t1)) % 2.01/2.28 (define @t114 () (not @t113)) % 2.01/2.28 (define @t115 () (@list @t4 @t1 @t109 @t110 @t106 @t107 @t105)) % 2.01/2.28 (define @t116 () (not (forall @t115 (or @t114 @t112)))) % 2.01/2.28 (define @t117 () (not (forall @t78 (or @t114 (not (_ @t10 @t1 @t73)) (_ @t10 @t4 @t73))))) % 2.01/2.28 (define @t118 () (not (forall @t12 (or @t114 (_ @t10 @t1 @t4))))) % 2.01/2.28 (define @t119 () (or @t118 @t117 @t116 @t104)) % 2.01/2.28 (define @t120 () (@list @t10 @t7 @t98 @t100 @t99 @t97 @t90 @t92 @t88 @t89 @t87)) % 2.01/2.28 (define @t121 () (forall @t120 @t119)) % 2.01/2.28 (define @t122 () (@quantifiers_skolemize @t121 7)) % 2.01/2.28 (define @t123 () (@quantifiers_skolemize @t121 6)) % 2.01/2.28 (define @t124 () (@quantifiers_skolemize @t121 1)) % 2.01/2.28 (define @t125 () (@quantifiers_skolemize @t121 0)) % 2.01/2.28 (define @t126 () (not (_ @t125 @t25 @t22))) % 2.01/2.28 (define @t127 () (forall @t32 (or @t126 (_ @t124 @t25 (_ @t123 @t25) (_ @t122 @t22))))) % 2.01/2.28 (define @t128 () (@quantifiers_skolemize @t121 10)) % 2.01/2.28 (define @t129 () (@quantifiers_skolemize @t121 8)) % 2.01/2.28 (define @t130 () (_ @t129 @t128)) % 2.01/2.28 (define @t131 () (@quantifiers_skolemize @t121 9)) % 2.01/2.28 (define @t132 () (_ @t123 @t131)) % 2.01/2.28 (define @t133 () (_ @t124 @t131 @t132 @t130)) % 2.01/2.28 (define @t134 () (_ @t125 @t131 @t128)) % 2.01/2.28 (define @t135 () (not @t134)) % 2.01/2.28 (define @t136 () (forall @t32 (or @t126 (_ @t124 @t25 (_ @t122 @t25) (_ @t129 @t22))))) % 2.01/2.28 (define @t137 () (not @t136)) % 2.01/2.28 (define @t138 () (not @t127)) % 2.01/2.28 (define @t139 () (or @t138 @t137 @t135 @t133)) % 2.01/2.28 (define @t140 () (_ @t122 @t131)) % 2.01/2.28 (define @t141 () (_ @t124 @t131 @t132 @t140)) % 2.01/2.28 (define @t142 () (_ @t125 @t131 @t131)) % 2.01/2.28 (define @t143 () (not @t142)) % 2.01/2.28 (define @t144 () (or @t143 @t141)) % 2.01/2.28 (define @t145 () (@list @t131 @t128)) % 2.01/2.28 (define @t146 () (_ @t124 @t131 @t140 @t130)) % 2.01/2.28 (define @t147 () (or @t135 @t146)) % 2.01/2.28 (define @t148 () (_ @t2 @t1)) % 2.01/2.28 (define @t149 () (_ @t5 @t4)) % 2.01/2.28 (define @t150 () (_ @t7 @t4 @t149 @t148)) % 2.01/2.28 (define @t151 () (lambda @t14 (forall @t12 (or @t114 @t150)))) % 2.01/2.28 (define @t152 () (and @t103 @t96 (= @t151 @t151))) % 2.01/2.28 (define @t153 () (not (= @t10 @t10))) % 2.01/2.28 (define @t154 () (or @t118 @t117 @t153 @t116 @t152)) % 2.01/2.28 (define @t155 () (_ @t16 @t4 @t1)) % 2.01/2.28 (define @t156 () (not @t155)) % 2.01/2.28 (define @t157 () (= (lambda @t14 (forall @t12 (or @t156 @t150))) @t151)) % 2.01/2.28 (define @t158 () (_ @t16 @t25 @t22)) % 2.01/2.28 (define @t159 () (not @t158)) % 2.01/2.28 (define @t160 () (or (not (forall @t32 (or @t159 @t95))) (not (forall @t32 (or @t159 @t93))) (not (_ @t16 @t89 @t87)) @t91)) % 2.01/2.28 (define @t161 () (or (not (forall @t32 (or @t159 @t102))) (not (_ @t16 @t99 @t97)) @t101)) % 2.01/2.28 (define @t162 () (and @t161 @t160 @t157)) % 2.01/2.28 (define @t163 () (or @t156 @t112)) % 2.01/2.28 (define @t164 () (forall @t115 @t163)) % 2.01/2.28 (define @t165 () (not @t164)) % 2.01/2.28 (define @t166 () (not @t72)) % 2.01/2.28 (define @t167 () (_ @t16 @t4 @t73)) % 2.01/2.28 (define @t168 () (_ @t16 @t1 @t73)) % 2.01/2.28 (define @t169 () (forall @t78 (or @t156 (not @t168) @t167))) % 2.01/2.28 (define @t170 () (not @t169)) % 2.01/2.28 (define @t171 () (_ @t16 @t1 @t4)) % 2.01/2.28 (define @t172 () (forall @t12 (or @t156 @t171))) % 2.01/2.28 (define @t173 () (not @t172)) % 2.01/2.28 (define @t174 () (or @t166 @t173 @t170 @t166 @t165 @t162)) % 2.01/2.28 (define @t175 () (@list @t16)) % 2.01/2.28 (define @t176 () (or @t173 @t170 @t166 @t165 @t162)) % 2.01/2.28 (define @t177 () (forall @t175 @t176)) % 2.01/2.28 (define @t178 () (forall @t120 @t177)) % 2.01/2.28 (define @t179 () (forall (@list @t10 @t7 @t98 @t100 @t99 @t97 @t90 @t92 @t88 @t89 @t87 @t16) @t176)) % 2.01/2.28 (define @t180 () (forall (@list @t16 @t10 @t7 @t98 @t100 @t99 @t97 @t90 @t92 @t88 @t89 @t87) @t176)) % 2.01/2.28 (define @t181 () (@list @t98 @t100 @t99 @t97 @t90 @t92 @t88 @t89 @t87)) % 2.01/2.28 (define @t182 () (forall @t181 @t176)) % 2.01/2.28 (define @t183 () (forall @t181 @t157)) % 2.01/2.28 (define @t184 () (forall (@list @t90 @t92 @t88 @t89 @t87) @t160)) % 2.01/2.28 (define @t185 () (@var "BOUND_VARIABLE_7647" tptp.a)) % 2.01/2.28 (define @t186 () (@var "BOUND_VARIABLE_7645" tptp.a)) % 2.01/2.28 (define @t187 () (forall @t181 @t160)) % 2.01/2.28 (define @t188 () (forall (@list @t98 @t100 @t99 @t97) @t161)) % 2.01/2.28 (define @t189 () (@var "BOUND_VARIABLE_7611" tptp.a)) % 2.01/2.28 (define @t190 () (@var "BOUND_VARIABLE_7609" tptp.a)) % 2.01/2.28 (define @t191 () (forall @t181 @t161)) % 2.01/2.28 (define @t192 () (and @t191 @t187 @t183)) % 2.01/2.28 (define @t193 () (forall @t181 @t162)) % 2.01/2.28 (define @t194 () (or @t173 @t170 @t166 @t165 @t193)) % 2.01/2.28 (define @t195 () (_ @t7 @t186 (_ @t26 @t186) (_ @t23 @t185))) % 2.01/2.28 (define @t196 () (not (_ @t16 @t186 @t185))) % 2.01/2.28 (define @t197 () (_ @t23 @t22)) % 2.01/2.28 (define @t198 () (_ @t34 @t25)) % 2.01/2.28 (define @t199 () (_ @t7 @t25 @t198 @t197)) % 2.01/2.28 (define @t200 () (forall @t32 (or @t159 @t199))) % 2.01/2.28 (define @t201 () (not @t200)) % 2.01/2.28 (define @t202 () (_ @t34 @t22)) % 2.01/2.28 (define @t203 () (_ @t26 @t25)) % 2.01/2.28 (define @t204 () (_ @t7 @t25 @t203 @t202)) % 2.01/2.28 (define @t205 () (forall @t32 (or @t159 @t204))) % 2.01/2.28 (define @t206 () (not @t205)) % 2.01/2.28 (define @t207 () (or @t206 @t201 @t196 @t195)) % 2.01/2.28 (define @t208 () (@list @t26 @t34 @t23 @t186 @t185)) % 2.01/2.28 (define @t209 () (_ @t7 @t190 (_ @t34 @t190) (_ @t26 @t189))) % 2.01/2.28 (define @t210 () (not (_ @t16 @t190 @t189))) % 2.01/2.28 (define @t211 () (or @t206 @t210 @t209)) % 2.01/2.28 (define @t212 () (@list @t26 @t34 @t190 @t189)) % 2.01/2.28 (define @t213 () (and (forall @t212 @t211) (forall @t208 @t207) @t157)) % 2.01/2.28 (define @t214 () (or @t173 @t170 @t166 @t165 @t213)) % 2.01/2.28 (define @t215 () (or @t173 @t170 @t166)) % 2.01/2.28 (define @t216 () (=> @t164 @t213)) % 2.01/2.28 (define @t217 () (and @t172 @t169 @t72)) % 2.01/2.28 (define @t218 () (not @t11)) % 2.01/2.28 (define @t219 () (or @t218 @t9)) % 2.01/2.28 (define @t220 () (not @t18)) % 2.01/2.28 (define @t221 () (or @t220 @t9)) % 2.01/2.28 (define @t222 () (or @t196 @t195)) % 2.01/2.28 (define @t223 () (or @t206 @t201 @t222)) % 2.01/2.28 (define @t224 () (forall @t208 @t223)) % 2.01/2.28 (define @t225 () (@list @t186 @t185)) % 2.01/2.28 (define @t226 () (forall @t225 @t223)) % 2.01/2.28 (define @t227 () (forall @t225 @t222)) % 2.01/2.28 (define @t228 () (@list @t25 @t22)) % 2.01/2.28 (define @t229 () (or @t206 @t201 @t227)) % 2.01/2.28 (define @t230 () (_ @t7 @t25 @t203 @t197)) % 2.01/2.28 (define @t231 () (forall @t32 (or @t159 @t230))) % 2.01/2.28 (define @t232 () (or @t206 @t201 @t231)) % 2.01/2.28 (define @t233 () (and @t205 @t200)) % 2.01/2.28 (define @t234 () (_ @t28 @t203)) % 2.01/2.28 (define @t235 () (not @t31)) % 2.01/2.28 (define @t236 () (or @t235 @t30)) % 2.01/2.28 (define @t237 () (_ @t28 @t198)) % 2.01/2.28 (define @t238 () (or @t235 @t37)) % 2.01/2.28 (define @t239 () (or @t235 @t40)) % 2.01/2.28 (define @t240 () (or @t210 @t209)) % 2.01/2.28 (define @t241 () (or @t206 @t240)) % 2.01/2.28 (define @t242 () (forall @t212 @t241)) % 2.01/2.28 (define @t243 () (@list @t190 @t189)) % 2.01/2.28 (define @t244 () (forall @t243 @t241)) % 2.01/2.28 (define @t245 () (forall @t243 @t240)) % 2.01/2.28 (define @t246 () (or @t206 @t245)) % 2.01/2.28 (define @t247 () (_ @t26 @t22)) % 2.01/2.28 (define @t248 () (_ @t7 @t25 @t198 @t247)) % 2.01/2.28 (define @t249 () (forall @t32 (or @t159 @t248))) % 2.01/2.28 (define @t250 () (or @t235 @t47)) % 2.01/2.28 (define @t251 () (@list @t109 @t110 @t106 @t107 @t105)) % 2.01/2.28 (define @t252 () (forall @t251 @t163)) % 2.01/2.28 (define @t253 () (forall @t251 @t53)) % 2.01/2.28 (define @t254 () (forall (@list @t106 @t107 @t105) @t108)) % 2.01/2.28 (define @t255 () (forall @t251 @t108)) % 2.01/2.28 (define @t256 () (forall (@list @t109 @t110) @t111)) % 2.01/2.28 (define @t257 () (forall @t251 @t111)) % 2.01/2.28 (define @t258 () (and @t257 @t255 @t253)) % 2.01/2.28 (define @t259 () (forall @t251 @t112)) % 2.01/2.28 (define @t260 () (or @t156 @t259)) % 2.01/2.28 (define @t261 () (_ @t7 @t4 @t55 @t54)) % 2.01/2.28 (define @t262 () (_ @t7 @t4 @t58 @t54)) % 2.01/2.28 (define @t263 () (_ @t7 @t4 @t55 @t58)) % 2.01/2.28 (define @t264 () (not @t263)) % 2.01/2.28 (define @t265 () (_ @t7 @t4 @t58 @t55)) % 2.01/2.28 (define @t266 () (and (forall @t66 (or @t264 @t265)) (forall @t63 (or @t264 (not @t262) @t261)) @t53)) % 2.01/2.28 (define @t267 () (or @t220 @t266)) % 2.01/2.28 (define @t268 () (not @t60)) % 2.01/2.28 (define @t269 () (not @t61)) % 2.01/2.28 (define @t270 () (or @t269 @t268 @t57)) % 2.01/2.28 (define @t271 () (or @t269 @t65)) % 2.01/2.28 (define @t272 () (not @t76)) % 2.01/2.28 (define @t273 () (or @t220 @t272 @t74)) % 2.01/2.28 (define @t274 () (or @t220 @t80)) % 2.01/2.28 (define @t275 () (not (_ @t125 @t4 @t1))) % 2.01/2.28 (define @t276 () (forall @t12 (or @t275 (_ @t125 @t1 @t4)))) % 2.01/2.28 (define @t277 () (@quantifiers_skolemize @t121 5)) % 2.01/2.28 (define @t278 () (@quantifiers_skolemize @t121 2)) % 2.01/2.28 (define @t279 () (_ @t278 @t277)) % 2.01/2.28 (define @t280 () (@quantifiers_skolemize @t121 4)) % 2.01/2.28 (define @t281 () (@quantifiers_skolemize @t121 3)) % 2.01/2.28 (define @t282 () (_ @t281 @t280)) % 2.01/2.28 (define @t283 () (_ @t124 @t280 @t282 @t279)) % 2.01/2.28 (define @t284 () (_ @t125 @t280 @t277)) % 2.01/2.28 (define @t285 () (not @t284)) % 2.01/2.28 (define @t286 () (forall @t32 (or @t126 (_ @t124 @t25 (_ @t278 @t25) (_ @t281 @t22))))) % 2.01/2.28 (define @t287 () (not @t286)) % 2.01/2.28 (define @t288 () (or @t287 @t285 @t283)) % 2.01/2.28 (define @t289 () (and @t288 @t139)) % 2.01/2.28 (define @t290 () (forall @t115 (or @t275 (and (or (not (_ @t124 @t4 @t109 @t110)) (_ @t124 @t4 @t110 @t109)) (or (not (_ @t124 @t4 @t106 @t107)) (not (_ @t124 @t4 @t107 @t105)) (_ @t124 @t4 @t106 @t105)) (= (_ @t124 @t4) (_ @t124 @t1)))))) % 2.01/2.28 (define @t291 () (not @t290)) % 2.01/2.28 (define @t292 () (forall @t78 (or @t275 (not (_ @t125 @t1 @t73)) (_ @t125 @t4 @t73)))) % 2.01/2.28 (define @t293 () (not @t292)) % 2.01/2.28 (define @t294 () (not @t276)) % 2.01/2.28 (define @t295 () (or @t294 @t293 @t291 @t289)) % 2.01/2.28 (define @t296 () (@list true)) % 2.01/2.28 (define @t297 () (@list @t295)) % 2.01/2.28 (define @t298 () (_ @t125 @t128 @t131)) % 2.01/2.28 (define @t299 () (or @t135 @t298)) % 2.01/2.28 (define @t300 () (not @t298)) % 2.01/2.28 (define @t301 () (or @t135 @t300 @t142)) % 2.01/2.28 (define @t302 () (not @t146)) % 2.01/2.28 (define @t303 () (not @t141)) % 2.01/2.28 (define @t304 () (or @t303 @t302 @t133)) % 2.01/2.28 (define @t305 () (_ @t124 @t131 @t279 @t279)) % 2.01/2.28 (define @t306 () (or (not @t305) @t305)) % 2.01/2.28 (define @t307 () (and @t306 @t304)) % 2.01/2.28 (define @t308 () (_ @t124 @t131)) % 2.01/2.28 (define @t309 () (and @t306 @t304 (= @t308 @t308))) % 2.01/2.28 (define @t310 () (or @t143 @t309)) % 2.01/2.28 (define @t311 () (or @t143 @t307)) % 2.01/2.28 (define @t312 () (@list false)) % 2.01/2.28 (define @t313 () (@list @t290)) % 2.01/2.28 (define @t314 () (@list @t288)) % 2.01/2.28 (define @t315 () (_ @t124 @t277 @t279 @t282)) % 2.01/2.28 (define @t316 () (_ @t125 @t277 @t280)) % 2.01/2.28 (define @t317 () (not @t316)) % 2.01/2.28 (define @t318 () (or @t317 @t315)) % 2.01/2.28 (define @t319 () (or @t285 @t316)) % 2.01/2.28 (define @t320 () (@list false false)) % 2.01/2.28 (define @t321 () (@const 0 tptp.b)) % 2.01/2.28 (define @t322 () (_ @t124 @t277 @t321 @t321)) % 2.01/2.28 (define @t323 () (not @t322)) % 2.01/2.28 (define @t324 () (or @t323 @t323 @t322)) % 2.01/2.28 (define @t325 () (_ @t124 @t277 @t282 @t279)) % 2.01/2.28 (define @t326 () (not @t315)) % 2.01/2.28 (define @t327 () (or @t326 @t325)) % 2.01/2.28 (define @t328 () (and @t327 @t324)) % 2.01/2.28 (define @t329 () (_ @t124 @t277)) % 2.01/2.28 (define @t330 () (and @t327 @t324 (= @t329 @t329))) % 2.01/2.28 (define @t331 () (_ @t125 @t277 @t277)) % 2.01/2.28 (define @t332 () (not @t331)) % 2.01/2.28 (define @t333 () (or @t332 @t330)) % 2.01/2.28 (define @t334 () (or @t332 @t328)) % 2.01/2.28 (define @t335 () (or @t317 @t285 @t331)) % 2.01/2.28 (define @t336 () (_ @t124 @t280)) % 2.01/2.28 (define @t337 () (_ @t336 @t282)) % 2.01/2.28 (define @t338 () (@purify @t337)) % 2.01/2.28 (define @t339 () (_ @t338 @t279)) % 2.01/2.28 (define @t340 () (_ @t278 @t277)) % 2.01/2.28 (define @t341 () (_ @t281 @t280)) % 2.01/2.28 (define @t342 () (_ @t337 @t279)) % 2.01/2.28 (define @t343 () (_ @t336 @t341)) % 2.01/2.28 (define @t344 () (= @t342 @t339)) % 2.01/2.28 (define @t345 () (= @t337 @t338)) % 2.01/2.28 (define @t346 () (and @t345 @t344)) % 2.01/2.28 (define @t347 () (_ @t337 @t279)) % 2.01/2.28 (define @t348 () (= @t342 @t347)) % 2.01/2.28 (define @t349 () (not @t339)) % 2.01/2.28 (define @t350 () (_ @t124 @t277 @t279 @t279)) % 2.01/2.28 (define @t351 () (not @t350)) % 2.01/2.28 (define @t352 () (or @t351 @t351 @t350)) % 2.01/2.28 (define @t353 () (@const 1 tptp.b)) % 2.01/2.28 (define @t354 () (or (not (_ @t124 @t277 @t353 @t321)) (_ @t124 @t277 @t321 @t353))) % 2.01/2.28 (define @t355 () (and @t354 @t352 (= @t329 @t336))) % 2.01/2.28 (define @t356 () (or @t317 @t355)) % 2.01/2.28 (define @t357 () (= @t336 @t329)) % 2.01/2.28 (define @t358 () (and @t354 @t352 @t357)) % 2.01/2.28 (define @t359 () (or @t317 @t358)) % 2.01/2.28 (define @t360 () (not @t325)) % 2.01/2.28 (define @t361 () (not @t345)) % 2.01/2.28 (define @t362 () (not @t357)) % 2.01/2.28 (define @t363 () (and @t325 @t357 @t349 @t345)) % 2.01/2.28 (assume @p1 @t86) % 2.01/2.28 (assume @p2 true) % 2.01/2.28 (step @p3 :rule bool-double-not-elim :args (@t127)) % 2.01/2.28 (step @p4 :rule refl :args (@t139)) % 2.01/2.28 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t139 (not @t138)))) % 2.01/2.28 (step @p6 :rule cnf_or_neg :args (@t139 0)) % 2.01/2.28 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 2.01/2.28 (step @p8 :rule reordering :premises (@p7) :args ((or @t127 @t139))) % 2.01/2.28 (step @p9 :rule bool-double-not-elim :args (@t136)) % 2.01/2.28 (step @p10 :rule nary_cong :premises (@p4 @p9) :args ((or @t139 (not @t137)))) % 2.01/2.28 (step @p11 :rule cnf_or_neg :args (@t139 1)) % 2.01/2.28 (step @p12 :rule eq_resolve :premises (@p11 @p10)) % 2.01/2.28 (step @p13 :rule reordering :premises (@p12) :args ((or @t136 @t139))) % 2.01/2.28 (step @p14 :rule bool-double-not-elim :args (@t134)) % 2.01/2.28 (step @p15 :rule nary_cong :premises (@p4 @p14) :args ((or @t139 (not @t135)))) % 2.01/2.28 (step @p16 :rule cnf_or_neg :args (@t139 2)) % 2.01/2.28 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 2.01/2.28 (step @p18 :rule reordering :premises (@p17) :args ((or @t134 @t139))) % 2.01/2.28 (step @p19 :rule cnf_or_neg :args (@t139 3)) % 2.01/2.28 (assume-push @p617 @t127) % 2.01/2.28 (step @p21 :rule instantiate :premises (@p617) :args ((@list @t131 @t131))) % 2.01/2.28 (step-pop @p618 :rule scope :premises (@p21)) % 2.01/2.28 (step @p22 :rule process_scope :premises (@p618) :args (@t144)) % 2.01/2.28 (step @p24 :rule implies_elim :premises (@p22)) % 2.01/2.28 (assume-push @p619 @t136) % 2.01/2.28 (step @p26 :rule instantiate :premises (@p619) :args (@t145)) % 2.01/2.28 (step-pop @p620 :rule scope :premises (@p26)) % 2.01/2.28 (step @p27 :rule process_scope :premises (@p620) :args (@t147)) % 2.01/2.28 (step @p29 :rule implies_elim :premises (@p27)) % 2.01/2.28 (step @p30 :rule aci_norm :args ((= (or @t118 @t117 false @t116 @t104) @t119))) % 2.01/2.28 (step @p31 :rule aci_norm :args ((= (and @t103 @t96 true) @t104))) % 2.01/2.28 (step @p32 :rule eq-refl :args (@t151)) % 2.01/2.28 (step @p33 :rule refl :args (@t96)) % 2.01/2.28 (step @p34 :rule refl :args (@t103)) % 2.01/2.28 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32) :args (@t152)) % 2.01/2.28 (step @p36 :rule trans :premises (@p35 @p31)) % 2.01/2.28 (step @p37 :rule refl :args (@t116)) % 2.01/2.28 (step @p38 :rule evaluate :args ((not true))) % 2.01/2.28 (step @p39 :rule eq-refl :args (@t10)) % 2.01/2.28 (step @p40 :rule cong :premises (@p39) :args (@t153)) % 2.01/2.28 (step @p41 :rule trans :premises (@p40 @p38)) % 2.01/2.28 (step @p42 :rule refl :args (@t117)) % 2.01/2.28 (step @p43 :rule refl :args (@t118)) % 2.01/2.28 (step @p44 :rule nary_cong :premises (@p43 @p42 @p41 @p37 @p36) :args (@t154)) % 2.01/2.28 (step @p45 :rule trans :premises (@p44 @p30)) % 2.01/2.28 (step @p46 :rule cong :premises (@p45) :args ((forall @t120 @t154))) % 2.01/2.28 (step @p47 :rule quant-var-elim-eq :args ((= (forall @t175 @t174) @t154))) % 2.01/2.28 (step @p48 :rule aci_norm :args ((= @t176 @t174))) % 2.01/2.28 (step @p49 :rule cong :premises (@p48) :args (@t177)) % 2.01/2.28 (step @p50 :rule trans :premises (@p49 @p47)) % 2.01/2.28 (step @p51 :rule cong :premises (@p50) :args (@t178)) % 2.01/2.28 (step @p52 :rule quant-merge-prenex :args ((= @t178 @t179))) % 2.01/2.28 (step @p53 :rule symm :premises (@p52)) % 2.01/2.28 (step @p54 :rule quant_var_reordering :args ((= @t180 @t179))) % 2.01/2.28 (step @p55 :rule trans :premises (@p54 @p53 @p51)) % 2.01/2.28 (step @p56 :rule trans :premises (@p55 @p46)) % 2.01/2.28 (step @p57 :rule quant-merge-prenex :args ((= (forall @t84 @t182) @t180))) % 2.01/2.28 (step @p58 :rule quant-unused-vars :args ((= @t183 @t157))) % 2.01/2.28 (step @p59 :rule alpha_equiv :args (@t184 (@list @t90 @t92 @t88 @t89 @t87) (@list @t26 @t34 @t23 @t186 @t185))) % 2.01/2.28 (step @p60 :rule quant-unused-vars :args ((= @t187 @t184))) % 2.01/2.28 (step @p61 :rule trans :premises (@p60 @p59)) % 2.01/2.28 (step @p62 :rule alpha_equiv :args (@t188 (@list @t98 @t100 @t99 @t97) (@list @t26 @t34 @t190 @t189))) % 2.01/2.28 (step @p63 :rule quant-unused-vars :args ((= @t191 @t188))) % 2.01/2.28 (step @p64 :rule trans :premises (@p63 @p62)) % 2.01/2.28 (step @p65 :rule nary_cong :premises (@p64 @p61 @p58) :args (@t192)) % 2.01/2.28 (step @p66 :rule quant-miniscope-and :args ((= @t193 @t192))) % 2.01/2.28 (step @p67 :rule trans :premises (@p66 @p65)) % 2.01/2.28 (step @p68 :rule refl :args (@t165)) % 2.01/2.28 (step @p69 :rule refl :args (@t166)) % 2.01/2.28 (step @p70 :rule refl :args (@t170)) % 2.01/2.28 (step @p71 :rule refl :args (@t173)) % 2.01/2.28 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69 @p68 @p67) :args (@t194)) % 2.01/2.28 (step @p73 :rule quant-miniscope-or :args ((= @t182 @t194))) % 2.01/2.28 (step @p74 :rule trans :premises (@p73 @p72)) % 2.01/2.28 (step @p75 :rule symm :premises (@p74)) % 2.01/2.28 (step @p76 :rule cong :premises (@p75) :args ((forall @t84 @t214))) % 2.01/2.28 (step @p77 :rule trans :premises (@p76 @p57)) % 2.01/2.28 (step @p78 :rule trans :premises (@p77 @p56)) % 2.01/2.28 (step @p79 :rule aci_norm :args ((= (or @t215 (or @t165 @t213)) @t214))) % 2.01/2.28 (step @p80 :rule bool-impl-elim :args (@t164 @t213)) % 2.01/2.28 (step @p81 :rule aci_norm :args ((= (or @t173 (or @t170 @t166)) @t215))) % 2.01/2.28 (step @p82 :rule bool-and-de-morgan :args (@t169 @t72 true)) % 2.01/2.28 (step @p83 :rule nary_cong :premises (@p71 @p82) :args ((or @t173 (not (and @t169 @t72))))) % 2.01/2.28 (step @p84 :rule bool-and-de-morgan :args (@t172 @t169 (and @t72))) % 2.01/2.28 (step @p85 :rule trans :premises (@p84 @p83)) % 2.01/2.28 (step @p86 :rule trans :premises (@p85 @p81)) % 2.01/2.28 (step @p87 :rule nary_cong :premises (@p86 @p80) :args ((or (not @t217) @t216))) % 2.01/2.28 (step @p88 :rule trans :premises (@p87 @p79)) % 2.01/2.28 (step @p89 :rule bool-impl-elim :args (@t217 @t216)) % 2.01/2.28 (step @p90 :rule trans :premises (@p89 @p88)) % 2.01/2.28 (step @p91 :rule cong :premises (@p90) :args ((forall @t84 (=> @t217 @t216)))) % 2.01/2.28 (step @p92 :rule trans :premises (@p91 @p78)) % 2.01/2.28 (step @p93 :rule refl :args ((_ @t7 @t4 @t6 @t3))) % 2.01/2.28 (step @p94 :rule refl :args (@t148)) % 2.01/2.28 (step @p95 :rule refl :args (@t149)) % 2.01/2.28 (step @p96 :rule refl :args (@t4)) % 2.01/2.28 (step @p97 :rule cong :premises (@p96 @p95 @p94) :args (@t150)) % 2.01/2.28 (step @p98 :rule trans :premises (@p97 @p93)) % 2.01/2.28 (step @p99 :rule refl :args (@t8)) % 2.01/2.28 (step @p100 :rule ho_cong :premises (@p99 @p95)) % 2.01/2.28 (step @p101 :rule ho_cong :premises (@p100 @p94)) % 2.01/2.28 (step @p102 :rule cong :premises (@p101 @p98) :args ((= (_ (_ @t8 @t149) @t148) @t150))) % 2.01/2.28 (step @p103 :rule symm :premises (@p102)) % 2.01/2.28 (step @p104 :rule refl :args (@t9)) % 2.01/2.28 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 2.01/2.28 (step @p106 :rule refl :args (@t3)) % 2.01/2.28 (step @p107 :rule cong :premises (@p106 @p94) :args ((= @t3 @t148))) % 2.01/2.28 (step @p108 :rule symm :premises 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2.01/2.28 (step @p566 :rule reordering :premises (@p565) :args ((or @t317 @t358 (not @t359)))) % 2.01/2.28 (step @p567 :rule chain_m_resolution :premises (@p566 @p470 @p564) :args (@t358 @t320 (@list @t316 @t359))) % 2.01/2.28 (step @p568 :rule cnf_and_pos :args (@t358 2)) % 2.01/2.28 (step @p569 :rule reordering :premises (@p568) :args ((or @t357 (not @t358)))) % 2.01/2.28 (step @p570 :rule chain_m_resolution :premises (@p569 @p567) :args (@t357 @t312 (@list @t358))) % 2.01/2.28 (step @p571 :rule refl :args (@t360)) % 2.01/2.28 (step @p572 :rule bool-double-not-elim :args (@t339)) % 2.01/2.28 (step @p573 :rule refl :args (@t361)) % 2.01/2.28 (step @p574 :rule refl :args (@t362)) % 2.01/2.28 (step @p575 :rule nary_cong :premises (@p574 @p573 @p572 @p571) :args ((or @t362 @t361 (not @t349) @t360))) % 2.01/2.28 (assume-push @p629 @t325) % 2.01/2.28 (assume-push @p630 @t357) % 2.01/2.28 (assume-push @p631 @t349) % 2.01/2.28 (assume-push @p632 @t345) % 2.01/2.28 (step @p580 :rule evaluate :args ((= false true))) % 2.01/2.28 (step @p581 :rule true_intro :premises (@p629)) % 2.01/2.28 (step @p582 :rule refl :args (@t325)) % 2.01/2.28 (step @p583 :rule symm :premises (@p582)) % 2.01/2.28 (step @p584 :rule refl :args (@t282)) % 2.01/2.28 (step @p585 :rule ho_cong :premises (@p630 @p584)) % 2.01/2.28 (step @p586 :rule trans :premises (@p536 @p585)) % 2.01/2.28 (step @p587 :rule ho_cong :premises (@p586 @p535)) % 2.01/2.28 (step @p588 :rule refl :args (@t339)) % 2.01/2.28 (step @p589 :rule false_intro :premises (@p631)) % 2.01/2.28 (step @p590 :rule symm :premises (@p589)) % 2.01/2.28 (step @p591 :rule trans :premises (@p590 @p588 @p587 @p583 @p581)) % 2.01/2.28 (step @p592 false :rule eq_resolve :premises (@p591 @p580)) % 2.01/2.28 (step-pop @p633 :rule scope :premises (@p592)) % 2.01/2.28 (step-pop @p634 :rule scope :premises (@p633)) % 2.01/2.28 (step-pop @p635 :rule scope :premises (@p634)) % 2.01/2.28 (step-pop @p636 :rule scope :premises (@p635)) % 2.01/2.28 (step @p593 :rule process_scope :premises (@p636) :args (false)) % 2.01/2.28 (assume-push @p637 @t357) % 2.01/2.28 (assume-push @p638 @t345) % 2.01/2.28 (assume-push @p639 @t349) % 2.01/2.28 (assume-push @p640 @t325) % 2.01/2.28 (step @p602 :rule and_intro :premises (@p640 @p637 @p639 @p545)) % 2.01/2.28 (step-pop @p641 :rule scope :premises (@p602)) % 2.01/2.28 (step-pop @p642 :rule scope :premises (@p641)) % 2.01/2.28 (step-pop @p643 :rule scope :premises (@p642)) % 2.01/2.28 (step-pop @p644 :rule scope :premises (@p643)) % 2.01/2.28 (step @p603 :rule process_scope :premises (@p644) :args (@t363)) % 2.01/2.28 (step @p608 :rule implies_elim :premises (@p603)) % 2.01/2.28 (step @p609 :rule resolution :premises (@p608 @p593) :args (true @t363)) % 2.01/2.28 (step @p610 :rule not_and :premises (@p609)) % 2.01/2.28 (step @p611 :rule eq_resolve :premises (@p610 @p575)) % 2.01/2.28 (step @p612 :rule reordering :premises (@p611) :args ((or @t362 @t339 @t361 @t360))) % 2.01/2.28 (step @p613 :rule chain_m_resolution :premises (@p612 @p570 @p550 @p545) :args (@t360 (@list false true false) (@list @t357 @t339 @t345))) % 2.01/2.28 (step @p614 :rule cnf_or_pos :args (@t327)) % 2.01/2.28 (step @p615 :rule reordering :premises (@p614) :args ((or @t326 @t325 (not @t327)))) % 2.01/2.28 (step @p616 false :rule chain_m_resolution :premises (@p615 @p613 @p499 @p473) :args (false (@list true false false) (@list @t325 @t327 @t315))) % 2.01/2.28 ) % 2.01/2.28 % SZS output end Proof % 2.01/2.28 % cvc5 exiting %------------------------------------------------------------------------------