%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU742^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:52:59 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU742^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:50:07 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.37/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.inIntersectImpInUnion2 Bool) % 0.37/0.62 (declare-const tptp.inIntersectImpInUnion Bool) % 0.37/0.62 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.binintersectI Bool) % 0.37/0.62 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.binintersect (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.62 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.62 (define @t3 () (_ (_ tptp.binintersect @t2) @t1)) % 0.37/0.62 (define @t4 () (@var "Xx" $$unsorted)) % 0.37/0.62 (define @t5 () (_ tptp.in @t4)) % 0.37/0.62 (define @t6 () (_ @t5 @t3)) % 0.37/0.62 (define @t7 () (_ @t5 @t1)) % 0.37/0.62 (define @t8 () (=> @t7 @t6)) % 0.37/0.62 (define @t9 () (_ @t5 @t2)) % 0.37/0.62 (define @t10 () (@list @t2 @t1 @t4)) % 0.37/0.62 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.37/0.62 (define @t12 () (= tptp.binintersectI @t11)) % 0.37/0.62 (define @t13 () (@var "Z" $$unsorted)) % 0.37/0.62 (define @t14 () (@var "X" $$unsorted)) % 0.37/0.62 (define @t15 () (_ (_ tptp.binunion @t14) @t13)) % 0.37/0.62 (define @t16 () (_ @t5 @t15)) % 0.37/0.62 (define @t17 () (@var "Y" $$unsorted)) % 0.37/0.62 (define @t18 () (_ (_ tptp.binintersect @t14) @t17)) % 0.37/0.62 (define @t19 () (_ @t5 @t18)) % 0.37/0.62 (define @t20 () (=> @t19 @t16)) % 0.37/0.62 (define @t21 () (@list @t4)) % 0.37/0.62 (define @t22 () (forall @t21 (=> @t9 @t20))) % 0.37/0.62 (define @t23 () (_ tptp.powerset @t2)) % 0.37/0.62 (define @t24 () (_ tptp.in @t13)) % 0.37/0.62 (define @t25 () (_ @t24 @t23)) % 0.37/0.62 (define @t26 () (=> @t25 @t22)) % 0.37/0.62 (define @t27 () (@list @t13)) % 0.37/0.62 (define @t28 () (forall @t27 @t26)) % 0.37/0.62 (define @t29 () (_ tptp.in @t17)) % 0.37/0.62 (define @t30 () (_ @t29 @t23)) % 0.37/0.62 (define @t31 () (=> @t30 @t28)) % 0.37/0.62 (define @t32 () (@list @t17)) % 0.37/0.62 (define @t33 () (forall @t32 @t31)) % 0.37/0.62 (define @t34 () (_ tptp.in @t14)) % 0.37/0.62 (define @t35 () (_ @t34 @t23)) % 0.37/0.62 (define @t36 () (=> @t35 @t33)) % 0.37/0.62 (define @t37 () (@list @t2 @t14)) % 0.37/0.62 (define @t38 () (forall @t37 @t36)) % 0.37/0.62 (define @t39 () (= tptp.inIntersectImpInUnion @t38)) % 0.37/0.62 (define @t40 () (_ (_ tptp.binunion @t17) @t13)) % 0.37/0.62 (define @t41 () (_ @t5 @t40)) % 0.37/0.62 (define @t42 () (=> @t19 @t41)) % 0.37/0.62 (define @t43 () (forall @t21 (=> @t9 @t42))) % 0.37/0.62 (define @t44 () (=> @t25 @t43)) % 0.37/0.62 (define @t45 () (forall @t27 @t44)) % 0.37/0.62 (define @t46 () (=> @t30 @t45)) % 0.37/0.62 (define @t47 () (forall @t32 @t46)) % 0.37/0.62 (define @t48 () (=> @t35 @t47)) % 0.37/0.62 (define @t49 () (forall @t37 @t48)) % 0.37/0.62 (define @t50 () (= tptp.inIntersectImpInUnion2 @t49)) % 0.37/0.62 (define @t51 () (_ (_ tptp.binintersect @t15) @t40)) % 0.37/0.62 (define @t52 () (_ @t5 @t51)) % 0.37/0.62 (define @t53 () (=> @t19 @t52)) % 0.37/0.62 (define @t54 () (forall @t21 (=> @t9 @t53))) % 0.37/0.62 (define @t55 () (=> @t25 @t54)) % 0.37/0.62 (define @t56 () (forall @t27 @t55)) % 0.37/0.62 (define @t57 () (=> @t30 @t56)) % 0.37/0.62 (define @t58 () (forall @t32 @t57)) % 0.37/0.62 (define @t59 () (=> @t35 @t58)) % 0.37/0.62 (define @t60 () (forall @t37 @t59)) % 0.37/0.62 (define @t61 () (=> tptp.inIntersectImpInUnion2 @t60)) % 0.37/0.62 (define @t62 () (=> tptp.inIntersectImpInUnion @t61)) % 0.37/0.62 (define @t63 () (=> tptp.binintersectI @t62)) % 0.37/0.62 (define @t64 () (not @t63)) % 0.37/0.62 (define @t65 () (@var "BOUND_VARIABLE_7751" $$unsorted)) % 0.37/0.62 (define @t66 () (@var "BOUND_VARIABLE_7749" $$unsorted)) % 0.37/0.62 (define @t67 () (@var "BOUND_VARIABLE_7753" $$unsorted)) % 0.37/0.62 (define @t68 () (tptp.in @t67 (tptp.binintersect (tptp.binunion @t14 @t65) (tptp.binunion @t66 @t65)))) % 0.37/0.62 (define @t69 () (not (tptp.in @t67 (tptp.binintersect @t14 @t66)))) % 0.37/0.62 (define @t70 () (not (tptp.in @t67 @t2))) % 0.37/0.62 (define @t71 () (tptp.powerset @t2)) % 0.37/0.62 (define @t72 () (not (tptp.in @t65 @t71))) % 0.37/0.62 (define @t73 () (not (tptp.in @t66 @t71))) % 0.37/0.62 (define @t74 () (tptp.in @t14 @t71)) % 0.37/0.62 (define @t75 () (not @t74)) % 0.37/0.62 (define @t76 () (or @t75 @t73 @t72 @t70 @t69 @t68)) % 0.37/0.62 (define @t77 () (@list @t2 @t14 @t66 @t65 @t67)) % 0.37/0.62 (define @t78 () (forall @t77 @t76)) % 0.37/0.62 (define @t79 () (@var "BOUND_VARIABLE_7665" $$unsorted)) % 0.37/0.62 (define @t80 () (@var "BOUND_VARIABLE_7663" $$unsorted)) % 0.37/0.62 (define @t81 () (@var "BOUND_VARIABLE_7667" $$unsorted)) % 0.37/0.62 (define @t82 () (tptp.in @t81 (tptp.binunion @t80 @t79))) % 0.37/0.62 (define @t83 () (not (tptp.in @t81 (tptp.binintersect @t14 @t80)))) % 0.37/0.62 (define @t84 () (not (tptp.in @t81 @t2))) % 0.37/0.62 (define @t85 () (not (tptp.in @t79 @t71))) % 0.37/0.62 (define @t86 () (not (tptp.in @t80 @t71))) % 0.37/0.62 (define @t87 () (or @t75 @t86 @t85 @t84 @t83 @t82)) % 0.37/0.62 (define @t88 () (or @t86 @t85 @t84 @t83 @t82)) % 0.37/0.62 (define @t89 () (or @t75 @t88)) % 0.37/0.62 (define @t90 () (@list @t2 @t14 @t80 @t79 @t81)) % 0.37/0.62 (define @t91 () (forall @t90 @t89)) % 0.37/0.62 (define @t92 () (@list @t80 @t79 @t81)) % 0.37/0.62 (define @t93 () (forall @t92 @t89)) % 0.37/0.62 (define @t94 () (forall @t92 @t88)) % 0.37/0.62 (define @t95 () (@var "BOUND_VARIABLE_7641" $$unsorted)) % 0.37/0.62 (define @t96 () (@var "BOUND_VARIABLE_7639" $$unsorted)) % 0.37/0.62 (define @t97 () (or @t75 @t94)) % 0.37/0.62 (define @t98 () (tptp.in @t95 (tptp.binunion @t17 @t96))) % 0.37/0.62 (define @t99 () (tptp.binintersect @t14 @t17)) % 0.37/0.62 (define @t100 () (not (tptp.in @t95 @t99))) % 0.37/0.62 (define @t101 () (not (tptp.in @t95 @t2))) % 0.37/0.62 (define @t102 () (not (tptp.in @t96 @t71))) % 0.37/0.62 (define @t103 () (tptp.in @t17 @t71)) % 0.37/0.62 (define @t104 () (not @t103)) % 0.37/0.62 (define @t105 () (or @t104 @t102 @t101 @t100 @t98)) % 0.37/0.62 (define @t106 () (@list @t17 @t96 @t95)) % 0.37/0.62 (define @t107 () (forall @t106 @t105)) % 0.37/0.62 (define @t108 () (not @t35)) % 0.37/0.62 (define @t109 () (or @t108 @t107)) % 0.37/0.62 (define @t110 () (or @t102 @t101 @t100 @t98)) % 0.37/0.62 (define @t111 () (or @t104 @t110)) % 0.37/0.62 (define @t112 () (forall @t106 @t111)) % 0.37/0.62 (define @t113 () (@list @t96 @t95)) % 0.37/0.62 (define @t114 () (forall @t113 @t111)) % 0.37/0.62 (define @t115 () (forall @t113 @t110)) % 0.37/0.62 (define @t116 () (@var "BOUND_VARIABLE_7620" $$unsorted)) % 0.37/0.62 (define @t117 () (or @t104 @t115)) % 0.37/0.62 (define @t118 () (tptp.binunion @t17 @t13)) % 0.37/0.62 (define @t119 () (tptp.in @t116 @t118)) % 0.37/0.62 (define @t120 () (not (tptp.in @t116 @t99))) % 0.37/0.62 (define @t121 () (not (tptp.in @t116 @t2))) % 0.37/0.62 (define @t122 () (tptp.in @t13 @t71)) % 0.37/0.62 (define @t123 () (not @t122)) % 0.37/0.62 (define @t124 () (or @t123 @t121 @t120 @t119)) % 0.37/0.62 (define @t125 () (@list @t13 @t116)) % 0.37/0.62 (define @t126 () (forall @t125 @t124)) % 0.37/0.62 (define @t127 () (not @t30)) % 0.37/0.62 (define @t128 () (or @t127 @t126)) % 0.37/0.62 (define @t129 () (or @t121 @t120 @t119)) % 0.37/0.62 (define @t130 () (or @t123 @t129)) % 0.37/0.62 (define @t131 () (forall @t125 @t130)) % 0.37/0.62 (define @t132 () (@list @t116)) % 0.37/0.62 (define @t133 () (forall @t132 @t130)) % 0.37/0.62 (define @t134 () (forall @t132 @t129)) % 0.37/0.62 (define @t135 () (@list @t4)) % 0.37/0.62 (define @t136 () (or @t123 @t134)) % 0.37/0.62 (define @t137 () (tptp.in @t4 @t118)) % 0.37/0.62 (define @t138 () (tptp.in @t4 @t99)) % 0.37/0.62 (define @t139 () (not @t138)) % 0.37/0.62 (define @t140 () (tptp.in @t4 @t2)) % 0.37/0.62 (define @t141 () (not @t140)) % 0.37/0.62 (define @t142 () (forall @t21 (or @t141 @t139 @t137))) % 0.37/0.62 (define @t143 () (not @t25)) % 0.37/0.62 (define @t144 () (or @t143 @t142)) % 0.37/0.62 (define @t145 () (not @t19)) % 0.37/0.62 (define @t146 () (not @t9)) % 0.37/0.62 (define @t147 () (or @t146 @t145 @t41)) % 0.37/0.62 (define @t148 () (=> tptp.inIntersectImpInUnion2 @t78)) % 0.37/0.62 (define @t149 () (@var "BOUND_VARIABLE_7583" $$unsorted)) % 0.37/0.62 (define @t150 () (@var "BOUND_VARIABLE_7585" $$unsorted)) % 0.37/0.62 (define @t151 () (tptp.in @t150 (tptp.binunion @t14 @t149))) % 0.37/0.62 (define @t152 () (@var "BOUND_VARIABLE_7581" $$unsorted)) % 0.37/0.62 (define @t153 () (not (tptp.in @t150 (tptp.binintersect @t14 @t152)))) % 0.37/0.62 (define @t154 () (not (tptp.in @t150 @t2))) % 0.37/0.62 (define @t155 () (not (tptp.in @t149 @t71))) % 0.37/0.62 (define @t156 () (not (tptp.in @t152 @t71))) % 0.37/0.62 (define @t157 () (or @t156 @t155 @t154 @t153 @t151)) % 0.37/0.62 (define @t158 () (or @t75 @t157)) % 0.37/0.62 (define @t159 () (forall (@list @t2 @t14 @t152 @t149 @t150) @t158)) % 0.37/0.62 (define @t160 () (@list @t152 @t149 @t150)) % 0.37/0.62 (define @t161 () (forall @t160 @t158)) % 0.37/0.62 (define @t162 () (forall @t160 @t157)) % 0.37/0.62 (define @t163 () (@var "BOUND_VARIABLE_7555" $$unsorted)) % 0.37/0.62 (define @t164 () (@var "BOUND_VARIABLE_7553" $$unsorted)) % 0.37/0.62 (define @t165 () (or @t75 @t162)) % 0.37/0.62 (define @t166 () (tptp.in @t163 (tptp.binunion @t14 @t164))) % 0.37/0.62 (define @t167 () (not (tptp.in @t163 @t99))) % 0.37/0.62 (define @t168 () (not (tptp.in @t163 @t2))) % 0.37/0.62 (define @t169 () (not (tptp.in @t164 @t71))) % 0.37/0.62 (define @t170 () (or @t104 @t169 @t168 @t167 @t166)) % 0.37/0.62 (define @t171 () (@list @t17 @t164 @t163)) % 0.37/0.62 (define @t172 () (forall @t171 @t170)) % 0.37/0.62 (define @t173 () (or @t108 @t172)) % 0.37/0.62 (define @t174 () (or @t169 @t168 @t167 @t166)) % 0.37/0.62 (define @t175 () (or @t104 @t174)) % 0.37/0.62 (define @t176 () (forall @t171 @t175)) % 0.37/0.62 (define @t177 () (@list @t164 @t163)) % 0.37/0.62 (define @t178 () (forall @t177 @t175)) % 0.37/0.62 (define @t179 () (forall @t177 @t174)) % 0.37/0.62 (define @t180 () (@var "BOUND_VARIABLE_7530" $$unsorted)) % 0.37/0.62 (define @t181 () (or @t104 @t179)) % 0.37/0.62 (define @t182 () (tptp.binunion @t14 @t13)) % 0.37/0.62 (define @t183 () (tptp.in @t180 @t182)) % 0.37/0.62 (define @t184 () (not (tptp.in @t180 @t99))) % 0.37/0.62 (define @t185 () (not (tptp.in @t180 @t2))) % 0.37/0.62 (define @t186 () (or @t123 @t185 @t184 @t183)) % 0.37/0.62 (define @t187 () (@list @t13 @t180)) % 0.37/0.62 (define @t188 () (forall @t187 @t186)) % 0.37/0.62 (define @t189 () (or @t127 @t188)) % 0.37/0.62 (define @t190 () (or @t185 @t184 @t183)) % 0.37/0.62 (define @t191 () (or @t123 @t190)) % 0.37/0.62 (define @t192 () (forall @t187 @t191)) % 0.37/0.62 (define @t193 () (@list @t180)) % 0.37/0.62 (define @t194 () (forall @t193 @t191)) % 0.37/0.62 (define @t195 () (forall @t193 @t190)) % 0.37/0.62 (define @t196 () (or @t123 @t195)) % 0.37/0.62 (define @t197 () (tptp.in @t4 @t182)) % 0.37/0.62 (define @t198 () (forall @t21 (or @t141 @t139 @t197))) % 0.37/0.62 (define @t199 () (or @t143 @t198)) % 0.37/0.62 (define @t200 () (or @t146 @t145 @t16)) % 0.37/0.62 (define @t201 () (=> tptp.inIntersectImpInUnion @t148)) % 0.37/0.62 (define @t202 () (tptp.binintersect @t2 @t1)) % 0.37/0.62 (define @t203 () (tptp.in @t4 @t202)) % 0.37/0.62 (define @t204 () (tptp.in @t4 @t1)) % 0.37/0.62 (define @t205 () (not @t7)) % 0.37/0.62 (define @t206 () (or @t146 @t205 @t6)) % 0.37/0.62 (define @t207 () (=> tptp.binintersectI @t201)) % 0.37/0.62 (define @t208 () (or @t73 @t72 @t70 @t69 @t68)) % 0.37/0.62 (define @t209 () (or @t75 @t208)) % 0.37/0.62 (define @t210 () (forall @t77 @t209)) % 0.37/0.62 (define @t211 () (@list @t66 @t65 @t67)) % 0.37/0.62 (define @t212 () (forall @t211 @t209)) % 0.37/0.62 (define @t213 () (forall @t211 @t208)) % 0.37/0.62 (define @t214 () (@var "BOUND_VARIABLE_7725" $$unsorted)) % 0.37/0.62 (define @t215 () (@var "BOUND_VARIABLE_7723" $$unsorted)) % 0.37/0.62 (define @t216 () (or @t75 @t213)) % 0.37/0.62 (define @t217 () (tptp.in @t214 (tptp.binintersect (tptp.binunion @t14 @t215) (tptp.binunion @t17 @t215)))) % 0.37/0.62 (define @t218 () (not (tptp.in @t214 @t99))) % 0.37/0.62 (define @t219 () (not (tptp.in @t214 @t2))) % 0.37/0.62 (define @t220 () (not (tptp.in @t215 @t71))) % 0.37/0.62 (define @t221 () (or @t104 @t220 @t219 @t218 @t217)) % 0.37/0.62 (define @t222 () (@list @t17 @t215 @t214)) % 0.37/0.62 (define @t223 () (forall @t222 @t221)) % 0.37/0.62 (define @t224 () (or @t108 @t223)) % 0.37/0.62 (define @t225 () (or @t220 @t219 @t218 @t217)) % 0.37/0.62 (define @t226 () (or @t104 @t225)) % 0.37/0.62 (define @t227 () (forall @t222 @t226)) % 0.37/0.62 (define @t228 () (@list @t215 @t214)) % 0.37/0.62 (define @t229 () (forall @t228 @t226)) % 0.37/0.62 (define @t230 () (forall @t228 @t225)) % 0.37/0.62 (define @t231 () (@var "BOUND_VARIABLE_7704" $$unsorted)) % 0.37/0.62 (define @t232 () (or @t104 @t230)) % 0.37/0.62 (define @t233 () (tptp.binintersect @t182 @t118)) % 0.37/0.62 (define @t234 () (tptp.in @t231 @t233)) % 0.37/0.62 (define @t235 () (not (tptp.in @t231 @t99))) % 0.37/0.62 (define @t236 () (not (tptp.in @t231 @t2))) % 0.37/0.62 (define @t237 () (or @t123 @t236 @t235 @t234)) % 0.37/0.62 (define @t238 () (@list @t13 @t231)) % 0.37/0.62 (define @t239 () (forall @t238 @t237)) % 0.37/0.62 (define @t240 () (or @t127 @t239)) % 0.37/0.62 (define @t241 () (or @t236 @t235 @t234)) % 0.37/0.62 (define @t242 () (or @t123 @t241)) % 0.37/0.62 (define @t243 () (forall @t238 @t242)) % 0.37/0.62 (define @t244 () (@list @t231)) % 0.37/0.62 (define @t245 () (forall @t244 @t242)) % 0.37/0.62 (define @t246 () (forall @t244 @t241)) % 0.37/0.62 (define @t247 () (or @t123 @t246)) % 0.37/0.62 (define @t248 () (tptp.in @t4 @t233)) % 0.37/0.62 (define @t249 () (forall @t21 (or @t141 @t139 @t248))) % 0.37/0.62 (define @t250 () (or @t143 @t249)) % 0.37/0.62 (define @t251 () (or @t146 @t145 @t52)) % 0.37/0.62 (define @t252 () (@quantifiers_skolemize @t78 4)) % 0.37/0.62 (define @t253 () (@quantifiers_skolemize @t78 3)) % 0.37/0.62 (define @t254 () (@quantifiers_skolemize @t78 2)) % 0.37/0.62 (define @t255 () (tptp.binunion @t254 @t253)) % 0.37/0.62 (define @t256 () (@quantifiers_skolemize @t78 1)) % 0.37/0.62 (define @t257 () (tptp.binunion @t256 @t253)) % 0.37/0.62 (define @t258 () (@quantifiers_skolemize @t78 0)) % 0.37/0.62 (define @t259 () (@list @t258 @t256 @t254 @t253 @t252)) % 0.37/0.62 (define @t260 () (tptp.in @t252 (tptp.binintersect @t256 @t254))) % 0.37/0.62 (define @t261 () (tptp.in @t252 (tptp.binintersect @t257 @t255))) % 0.37/0.62 (define @t262 () (not @t260)) % 0.37/0.62 (define @t263 () (tptp.in @t252 @t258)) % 0.37/0.62 (define @t264 () (not @t263)) % 0.37/0.62 (define @t265 () (tptp.powerset @t258)) % 0.37/0.62 (define @t266 () (tptp.in @t253 @t265)) % 0.37/0.62 (define @t267 () (not @t266)) % 0.37/0.62 (define @t268 () (tptp.in @t254 @t265)) % 0.37/0.62 (define @t269 () (not @t268)) % 0.37/0.62 (define @t270 () (tptp.in @t256 @t265)) % 0.37/0.62 (define @t271 () (not @t270)) % 0.37/0.62 (define @t272 () (or @t271 @t269 @t267 @t264 @t262 @t261)) % 0.37/0.62 (define @t273 () (@list true)) % 0.37/0.62 (define @t274 () (@list @t272)) % 0.37/0.62 (define @t275 () (tptp.in @t252 @t257)) % 0.37/0.62 (define @t276 () (or @t271 @t269 @t267 @t264 @t262 @t275)) % 0.37/0.62 (define @t277 () (tptp.in @t252 @t255)) % 0.37/0.62 (define @t278 () (not @t277)) % 0.37/0.62 (define @t279 () (not @t275)) % 0.37/0.62 (define @t280 () (or @t279 @t278 @t261)) % 0.37/0.62 (define @t281 () (or @t271 @t269 @t267 @t264 @t262 @t277)) % 0.37/0.62 (define @t282 () (not @t281)) % 0.37/0.62 (define @t283 () (forall @t90 @t87)) % 0.37/0.62 (assume @p1 @t12) % 0.37/0.62 (assume @p2 @t39) % 0.37/0.62 (assume @p3 @t50) % 0.37/0.62 (assume @p4 @t64) % 0.37/0.62 (assume @p5 true) % 0.37/0.62 (step @p6 :rule refl :args (@t78)) % 0.37/0.62 (step @p7 :rule aci_norm :args ((= @t89 @t87))) % 0.37/0.62 (step @p8 :rule cong :premises (@p7) :args (@t91)) % 0.37/0.62 (step @p9 :rule quant-merge-prenex :args ((= (forall @t37 @t93) @t91))) % 0.37/0.62 (step @p10 :rule alpha_equiv :args (@t94 (@list @t80 @t79 @t81) (@list @t17 @t96 @t95))) % 0.37/0.62 (step @p11 :rule refl :args (@t75)) % 0.37/0.62 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t97)) % 0.37/0.62 (step @p13 :rule quant-miniscope-or :args ((= @t93 @t97))) % 0.37/0.62 (step @p14 :rule trans :premises (@p13 @p12)) % 0.37/0.62 (step @p15 :rule symm :premises (@p14)) % 0.37/0.62 (step @p16 :rule cong :premises (@p15) :args ((forall @t37 (or @t75 @t107)))) % 0.37/0.62 (step @p17 :rule trans :premises (@p16 @p9)) % 0.37/0.62 (step @p18 :rule trans :premises (@p17 @p8)) % 0.37/0.62 (step @p19 :rule refl :args (@t107)) % 0.37/0.62 (step @p20 :rule refl :args ((tptp.in @t14 @t23))) % 0.37/0.62 (step @p21 :rule refl :args (@t71)) % 0.37/0.62 (step @p22 :rule refl :args (@t14)) % 0.37/0.62 (step @p23 :rule cong :premises (@p22 @p21) :args (@t74)) % 0.37/0.62 (step @p24 :rule trans :premises (@p23 @p20)) % 0.37/0.62 (step @p25 :rule refl :args (@t34)) 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(step @p56 :rule refl :args (@t126)) % 0.37/0.62 (step @p57 :rule refl :args ((tptp.in @t17 @t23))) % 0.37/0.62 (step @p58 :rule refl :args (@t17)) % 0.37/0.62 (step @p59 :rule cong :premises (@p58 @p21) :args (@t103)) % 0.37/0.62 (step @p60 :rule trans :premises (@p59 @p57)) % 0.37/0.62 (step @p61 :rule refl :args (@t29)) % 0.37/0.62 (step @p62 :rule ho_cong :premises (@p61 @p21)) % 0.37/0.62 (step @p63 :rule cong :premises (@p62 @p60) :args ((= (_ @t29 @t71) @t103))) % 0.37/0.62 (step @p64 :rule symm :premises (@p63)) % 0.37/0.62 (step @p65 :rule refl :args (@t30)) % 0.37/0.62 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.37/0.62 (step @p67 :rule ho_cong :premises (@p61 @p34)) % 0.37/0.62 (step @p68 :rule trans :premises (@p67 @p66)) % 0.37/0.62 (step @p69 :rule cong :premises (@p68) :args (@t127)) % 0.37/0.62 (step @p70 :rule nary_cong :premises (@p69 @p56) :args (@t128)) % 0.37/0.62 (step @p71 :rule cong :premises (@p70) :args ((forall @t32 @t128))) % 0.37/0.62 (step @p72 :rule trans :premises (@p71 @p55)) % 0.37/0.62 (step @p73 :rule bool-impl-elim :args (@t30 @t126)) % 0.37/0.62 (step @p74 :rule cong :premises (@p73) :args ((forall @t32 (=> @t30 @t126)))) % 0.37/0.62 (step @p75 :rule trans :premises (@p74 @p72)) % 0.37/0.62 (step @p76 :rule aci_norm :args ((= @t130 @t124))) % 0.37/0.62 (step @p77 :rule cong :premises (@p76) :args (@t131)) % 0.37/0.62 (step @p78 :rule quant-merge-prenex :args ((= (forall @t27 @t133) @t131))) % 0.37/0.62 (step @p79 :rule alpha_equiv :args (@t134 (@list @t116) @t135)) % 0.37/0.62 (step @p80 :rule refl :args (@t123)) % 0.37/0.62 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t136)) % 0.37/0.62 (step @p82 :rule quant-miniscope-or :args ((= @t133 @t136))) % 0.37/0.62 (step @p83 :rule trans :premises (@p82 @p81)) % 0.37/0.62 (step @p84 :rule symm :premises (@p83)) % 0.37/0.62 (step @p85 :rule cong :premises (@p84) :args ((forall @t27 (or @t123 @t142)))) % 0.37/0.62 (step @p86 :rule trans :premises (@p85 @p78)) % 0.37/0.62 (step @p87 :rule trans :premises (@p86 @p77)) % 0.37/0.62 (step @p88 :rule refl :args (@t142)) % 0.37/0.62 (step @p89 :rule refl :args ((tptp.in @t13 @t23))) % 0.37/0.62 (step @p90 :rule refl :args (@t13)) % 0.37/0.62 (step @p91 :rule cong :premises (@p90 @p21) :args (@t122)) % 0.37/0.62 (step @p92 :rule trans :premises (@p91 @p89)) % 0.37/0.62 (step @p93 :rule refl :args (@t24)) % 0.37/0.62 (step @p94 :rule ho_cong :premises (@p93 @p21)) % 0.37/0.62 (step @p95 :rule cong :premises (@p94 @p92) :args ((= (_ @t24 @t71) @t122))) % 0.37/0.62 (step @p96 :rule symm :premises (@p95)) % 0.37/0.62 (step @p97 :rule refl :args (@t25)) % 0.37/0.62 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.37/0.62 (step @p99 :rule ho_cong :premises (@p93 @p34)) % 0.37/0.62 (step @p100 :rule trans :premises (@p99 @p98)) % 0.37/0.62 (step @p101 :rule cong :premises (@p100) :args (@t143)) % 0.37/0.62 (step @p102 :rule nary_cong :premises (@p101 @p88) :args (@t144)) % 0.37/0.62 (step @p103 :rule 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0.37/0.62 (step @p119 :rule refl :args (@t40)) % 0.37/0.62 (step @p120 :rule cong :premises (@p119 @p109) :args ((= @t40 @t118))) % 0.37/0.62 (step @p121 :rule symm :premises (@p120)) % 0.37/0.62 (step @p122 :rule eq_resolve :premises (@p119 @p121)) % 0.37/0.62 (step @p123 :rule ho_cong :premises (@p113 @p122)) % 0.37/0.62 (step @p124 :rule trans :premises (@p123 @p118)) % 0.37/0.62 (step @p125 :rule refl :args ((tptp.in @t4 @t18))) % 0.37/0.62 (step @p126 :rule refl :args (@t99)) % 0.37/0.62 (step @p127 :rule cong :premises (@p110 @p126) :args (@t138)) % 0.37/0.62 (step @p128 :rule trans :premises (@p127 @p125)) % 0.37/0.62 (step @p129 :rule ho_cong :premises (@p113 @p126)) % 0.37/0.62 (step @p130 :rule cong :premises (@p129 @p128) :args ((= (_ @t5 @t99) @t138))) % 0.37/0.62 (step @p131 :rule symm :premises (@p130)) % 0.37/0.62 (step @p132 :rule refl :args (@t19)) % 0.37/0.62 (step @p133 :rule eq_resolve :premises (@p132 @p131)) % 0.37/0.62 (step @p134 :rule refl :args (@t18)) % 0.37/0.62 (step @p135 :rule cong :premises (@p134 @p126) :args ((= @t18 @t99))) % 0.37/0.62 (step @p136 :rule symm :premises (@p135)) % 0.37/0.62 (step @p137 :rule eq_resolve :premises (@p134 @p136)) % 0.37/0.62 (step @p138 :rule ho_cong :premises (@p113 @p137)) % 0.37/0.62 (step @p139 :rule trans :premises (@p138 @p133)) % 0.37/0.62 (step @p140 :rule cong :premises (@p139) :args (@t145)) % 0.37/0.62 (step @p141 :rule refl :args (@t140)) % 0.37/0.62 (step @p142 :rule refl :args (@t9)) % 0.37/0.62 (step @p143 :rule cong :premises (@p142 @p141) :args ((= @t9 @t140))) % 0.37/0.62 (step @p144 :rule symm :premises (@p143)) % 0.37/0.62 (step @p145 :rule eq_resolve :premises (@p142 @p144)) % 0.37/0.62 (step @p146 :rule cong :premises (@p145) :args (@t146)) % 0.37/0.62 (step @p147 :rule nary_cong :premises (@p146 @p140 @p124) :args (@t147)) % 0.37/0.62 (step @p148 :rule cong :premises (@p147) :args ((forall @t21 @t147))) % 0.37/0.62 (step @p149 :rule aci_norm :args ((= (or @t146 (or @t145 @t41)) @t147))) % 0.37/0.62 (step @p150 :rule bool-impl-elim :args (@t19 @t41)) % 0.37/0.62 (step @p151 :rule refl :args (@t146)) % 0.37/0.62 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or @t146 @t42))) % 0.37/0.62 (step @p153 :rule trans :premises (@p152 @p149)) % 0.37/0.62 (step @p154 :rule bool-impl-elim :args (@t9 @t42)) % 0.37/0.62 (step @p155 :rule trans :premises (@p154 @p153)) % 0.37/0.62 (step @p156 :rule cong :premises (@p155) :args (@t43)) % 0.37/0.62 (step @p157 :rule trans :premises (@p156 @p148)) % 0.37/0.62 (step @p158 :rule refl :args (@t25)) % 0.37/0.62 (step @p159 :rule cong :premises (@p158 @p157) :args (@t44)) % 0.37/0.62 (step @p160 :rule cong :premises (@p159) :args (@t45)) % 0.37/0.62 (step @p161 :rule trans :premises (@p160 @p107)) % 0.37/0.62 (step @p162 :rule refl :args (@t30)) % 0.37/0.62 (step @p163 :rule cong :premises (@p162 @p161) :args (@t46)) % 0.37/0.62 (step @p164 :rule cong :premises (@p163) :args (@t47)) % 0.37/0.62 (step @p165 :rule 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(step @p448 :rule chain_m_resolution :premises (@p447 @p412) :args ((not @t261) @t273 @t274)) % 0.37/0.62 (step @p449 :rule cnf_or_pos :args (@t280)) % 0.37/0.62 (step @p450 :rule reordering :premises (@p449) :args ((or @t261 @t279 @t278 (not @t280)))) % 0.37/0.62 (step @p451 :rule chain_m_resolution :premises (@p450 @p448 @p446 @p408) :args (@t278 (@list true false false) (@list @t261 @t275 @t280))) % 0.37/0.62 (step @p452 :rule cnf_or_pos :args (@t281)) % 0.37/0.62 (step @p453 :rule reordering :premises (@p452) :args ((or @t271 @t269 @t267 @t264 @t262 @t277 @t282))) % 0.37/0.62 (step @p454 :rule chain_m_resolution :premises (@p453 @p443 @p437 @p431 @p425 @p419 @p451) :args (@t282 (@list false false false false false true) (@list @t270 @t268 @t266 @t263 @t260 @t277))) % 0.37/0.62 (assume-push @p461 @t283) % 0.37/0.62 (step @p456 :rule instantiate :premises (@p406) :args (@t259)) % 0.37/0.62 (step-pop @p462 :rule scope :premises (@p456)) % 0.37/0.62 (step @p457 :rule process_scope :premises (@p462) :args (@t281)) % 0.37/0.62 (step @p459 :rule implies_elim :premises (@p457)) % 0.37/0.62 (step @p460 false :rule chain_m_resolution :premises (@p459 @p454 @p406) :args (false (@list true false) (@list @t281 @t283))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------