%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU792^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:53:13 AM UTC 2026 % Result : Theorem 0.38s 0.62s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU792^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.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 17:52:13 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.38/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-sort $$unsorted 0) % 0.38/0.62 (declare-const tptp.woz2W Bool) % 0.38/0.62 (declare-const tptp.woz2Ex Bool) % 0.38/0.62 (declare-const tptp.breln1unionCommutes Bool) % 0.38/0.62 (declare-const tptp.breln1compprop Bool) % 0.38/0.62 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.breln1compset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.breln1invprop Bool) % 0.38/0.62 (declare-const tptp.breln1 (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.woz2A Bool) % 0.38/0.62 (declare-const tptp.breln1invset (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (define @t1 () (@var "R" $$unsorted)) % 0.38/0.62 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.62 (define @t3 () (_ tptp.breln1invset @t2)) % 0.38/0.62 (define @t4 () (_ @t3 @t1)) % 0.38/0.62 (define @t5 () (_ tptp.breln1 @t2)) % 0.38/0.62 (define @t6 () (_ @t5 @t4)) % 0.38/0.62 (define @t7 () (_ @t5 @t1)) % 0.38/0.62 (define @t8 () (@list @t2 @t1)) % 0.38/0.62 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.38/0.62 (define @t10 () (= tptp.breln1invprop @t9)) % 0.38/0.62 (define @t11 () (@var "S" $$unsorted)) % 0.38/0.62 (define @t12 () (_ tptp.breln1compset @t2)) % 0.38/0.62 (define @t13 () (_ @t12 @t1)) % 0.38/0.62 (define @t14 () (_ @t13 @t11)) % 0.38/0.62 (define @t15 () (_ @t5 @t14)) % 0.38/0.62 (define @t16 () (_ @t5 @t11)) % 0.38/0.62 (define @t17 () (@list @t11)) % 0.38/0.62 (define @t18 () (forall @t17 (=> @t16 @t15))) % 0.38/0.62 (define @t19 () (=> @t7 @t18)) % 0.38/0.62 (define @t20 () (forall @t8 @t19)) % 0.38/0.62 (define @t21 () (= tptp.breln1compprop @t20)) % 0.38/0.62 (define @t22 () (_ (_ tptp.binunion @t11) @t1)) % 0.38/0.62 (define @t23 () (_ (_ tptp.binunion @t1) @t11)) % 0.38/0.62 (define @t24 () (= @t23 @t22)) % 0.38/0.62 (define @t25 () (forall @t17 (=> @t16 @t24))) % 0.38/0.62 (define @t26 () (=> @t7 @t25)) % 0.38/0.62 (define @t27 () (forall @t8 @t26)) % 0.38/0.62 (define @t28 () (= tptp.breln1unionCommutes @t27)) % 0.38/0.62 (define @t29 () (_ @t3 @t4)) % 0.38/0.62 (define @t30 () (= @t1 @t29)) % 0.38/0.62 (define @t31 () (forall @t8 (=> @t7 @t30))) % 0.38/0.62 (define @t32 () (= tptp.woz2Ex @t31)) % 0.38/0.62 (define @t33 () (_ @t3 @t11)) % 0.38/0.62 (define @t34 () (_ (_ @t12 @t33) @t4)) % 0.38/0.62 (define @t35 () (_ @t3 @t14)) % 0.38/0.62 (define @t36 () (= @t35 @t34)) % 0.38/0.62 (define @t37 () (forall @t17 (=> @t16 @t36))) % 0.38/0.62 (define @t38 () (=> @t7 @t37)) % 0.38/0.62 (define @t39 () (forall @t8 @t38)) % 0.38/0.62 (define @t40 () (= tptp.woz2W @t39)) % 0.38/0.62 (define @t41 () (@var "T" $$unsorted)) % 0.38/0.62 (define @t42 () (_ (_ @t12 @t11) @t41)) % 0.38/0.62 (define @t43 () (_ @t13 @t41)) % 0.38/0.62 (define @t44 () (_ (_ tptp.binunion @t43) @t42)) % 0.38/0.62 (define @t45 () (_ (_ @t12 @t23) @t41)) % 0.38/0.62 (define @t46 () (= @t45 @t44)) % 0.38/0.62 (define @t47 () (_ @t5 @t41)) % 0.38/0.62 (define @t48 () (@list @t41)) % 0.38/0.62 (define @t49 () (forall @t48 (=> @t47 @t46))) % 0.38/0.62 (define @t50 () (=> @t16 @t49)) % 0.38/0.62 (define @t51 () (forall @t17 @t50)) % 0.38/0.62 (define @t52 () (=> @t7 @t51)) % 0.38/0.62 (define @t53 () (forall @t8 @t52)) % 0.38/0.62 (define @t54 () (= tptp.woz2A @t53)) % 0.38/0.62 (define @t55 () (_ @t3 @t41)) % 0.38/0.62 (define @t56 () (_ @t12 @t55)) % 0.38/0.62 (define @t57 () (_ @t56 @t4)) % 0.38/0.62 (define @t58 () (_ @t3 @t57)) % 0.38/0.62 (define @t59 () (_ @t56 @t33)) % 0.38/0.62 (define @t60 () (_ @t3 @t59)) % 0.38/0.62 (define @t61 () (_ (_ tptp.binunion @t60) @t58)) % 0.38/0.62 (define @t62 () (= @t45 @t61)) % 0.38/0.62 (define @t63 () (forall @t48 (=> @t47 @t62))) % 0.38/0.62 (define @t64 () (=> @t16 @t63)) % 0.38/0.62 (define @t65 () (forall @t17 @t64)) % 0.38/0.62 (define @t66 () (=> @t7 @t65)) % 0.38/0.62 (define @t67 () (forall @t8 @t66)) % 0.38/0.62 (define @t68 () (=> tptp.woz2A @t67)) % 0.38/0.62 (define @t69 () (=> tptp.woz2W @t68)) % 0.38/0.62 (define @t70 () (=> tptp.woz2Ex @t69)) % 0.38/0.62 (define @t71 () (=> tptp.breln1unionCommutes @t70)) % 0.38/0.62 (define @t72 () (=> tptp.breln1compprop @t71)) % 0.38/0.62 (define @t73 () (=> tptp.breln1invprop @t72)) % 0.38/0.62 (define @t74 () (not @t73)) % 0.38/0.62 (define @t75 () (tptp.breln1invset @t2 @t1)) % 0.38/0.62 (define @t76 () (@var "BOUND_VARIABLE_7737" $$unsorted)) % 0.38/0.62 (define @t77 () (tptp.breln1invset @t2 @t76)) % 0.38/0.62 (define @t78 () (@var "BOUND_VARIABLE_7735" $$unsorted)) % 0.38/0.62 (define @t79 () (= (tptp.breln1compset @t2 (tptp.binunion @t1 @t78) @t76) (tptp.binunion (tptp.breln1invset @t2 (tptp.breln1compset @t2 @t77 (tptp.breln1invset @t2 @t78))) (tptp.breln1invset @t2 (tptp.breln1compset @t2 @t77 @t75))))) % 0.38/0.62 (define @t80 () (not (tptp.breln1 @t2 @t76))) % 0.38/0.62 (define @t81 () (not (tptp.breln1 @t2 @t78))) % 0.38/0.62 (define @t82 () (tptp.breln1 @t2 @t1)) % 0.38/0.62 (define @t83 () (not @t82)) % 0.38/0.62 (define @t84 () (or @t83 @t81 @t80 @t79)) % 0.38/0.62 (define @t85 () (@list @t2 @t1 @t78 @t76)) % 0.38/0.62 (define @t86 () (forall @t85 @t84)) % 0.38/0.62 (define @t87 () (@var "BOUND_VARIABLE_7667" $$unsorted)) % 0.38/0.62 (define @t88 () (@var "BOUND_VARIABLE_7665" $$unsorted)) % 0.38/0.62 (define @t89 () (= (tptp.breln1compset @t2 (tptp.binunion @t1 @t88) @t87) (tptp.binunion (tptp.breln1compset @t2 @t1 @t87) (tptp.breln1compset @t2 @t88 @t87)))) % 0.38/0.62 (define @t90 () (not (tptp.breln1 @t2 @t87))) % 0.38/0.62 (define @t91 () (not (tptp.breln1 @t2 @t88))) % 0.38/0.62 (define @t92 () (or @t91 @t90 @t89)) % 0.38/0.62 (define @t93 () (or @t83 @t92)) % 0.38/0.62 (define @t94 () (forall (@list @t2 @t1 @t88 @t87) @t93)) % 0.38/0.62 (define @t95 () (@list @t88 @t87)) % 0.38/0.62 (define @t96 () (forall @t95 @t93)) % 0.38/0.62 (define @t97 () (forall @t95 @t92)) % 0.38/0.62 (define @t98 () (@var "BOUND_VARIABLE_7644" $$unsorted)) % 0.38/0.62 (define @t99 () (or @t83 @t97)) % 0.38/0.62 (define @t100 () (tptp.binunion @t1 @t11)) % 0.38/0.62 (define @t101 () (= (tptp.breln1compset @t2 @t100 @t98) (tptp.binunion (tptp.breln1compset @t2 @t1 @t98) (tptp.breln1compset @t2 @t11 @t98)))) % 0.38/0.62 (define @t102 () (not (tptp.breln1 @t2 @t98))) % 0.38/0.62 (define @t103 () (tptp.breln1 @t2 @t11)) % 0.38/0.62 (define @t104 () (not @t103)) % 0.38/0.62 (define @t105 () (or @t104 @t102 @t101)) % 0.38/0.62 (define @t106 () (@list @t11 @t98)) % 0.38/0.62 (define @t107 () (forall @t106 @t105)) % 0.38/0.62 (define @t108 () (not @t7)) % 0.38/0.62 (define @t109 () (or @t108 @t107)) % 0.38/0.62 (define @t110 () (or @t102 @t101)) % 0.38/0.62 (define @t111 () (or @t104 @t110)) % 0.38/0.62 (define @t112 () (forall @t106 @t111)) % 0.38/0.62 (define @t113 () (@list @t98)) % 0.38/0.62 (define @t114 () (forall @t113 @t111)) % 0.38/0.62 (define @t115 () (forall @t113 @t110)) % 0.38/0.62 (define @t116 () (@list @t41)) % 0.38/0.62 (define @t117 () (or @t104 @t115)) % 0.38/0.62 (define @t118 () (tptp.breln1compset @t2 @t11 @t41)) % 0.38/0.62 (define @t119 () (tptp.breln1compset @t2 @t1 @t41)) % 0.38/0.62 (define @t120 () (tptp.binunion @t119 @t118)) % 0.38/0.62 (define @t121 () (tptp.breln1compset @t2 @t100 @t41)) % 0.38/0.62 (define @t122 () (tptp.breln1 @t2 @t41)) % 0.38/0.62 (define @t123 () (not @t122)) % 0.38/0.62 (define @t124 () (forall @t48 (or @t123 (= @t121 @t120)))) % 0.38/0.62 (define @t125 () (not @t16)) % 0.38/0.62 (define @t126 () (or @t125 @t124)) % 0.38/0.62 (define @t127 () (not @t47)) % 0.38/0.62 (define @t128 () (or @t127 @t46)) % 0.38/0.62 (define @t129 () (=> tptp.woz2A @t86)) % 0.38/0.62 (define @t130 () (@var "BOUND_VARIABLE_7605" $$unsorted)) % 0.38/0.62 (define @t131 () (= (tptp.breln1invset @t2 (tptp.breln1compset @t2 @t1 @t130)) (tptp.breln1compset @t2 (tptp.breln1invset @t2 @t130) @t75))) % 0.38/0.62 (define @t132 () (not (tptp.breln1 @t2 @t130))) % 0.38/0.62 (define @t133 () (or @t132 @t131)) % 0.38/0.62 (define @t134 () (or @t83 @t133)) % 0.38/0.62 (define @t135 () (forall (@list @t2 @t1 @t130) @t134)) % 0.38/0.62 (define @t136 () (@list @t130)) % 0.38/0.62 (define @t137 () (forall @t136 @t134)) % 0.38/0.62 (define @t138 () (forall @t136 @t133)) % 0.38/0.62 (define @t139 () (@list @t11)) % 0.38/0.62 (define @t140 () (or @t83 @t138)) % 0.38/0.62 (define @t141 () (tptp.breln1invset @t2 @t11)) % 0.38/0.62 (define @t142 () (tptp.breln1compset @t2 @t141 @t75)) % 0.38/0.62 (define @t143 () (tptp.breln1compset @t2 @t1 @t11)) % 0.38/0.62 (define @t144 () (tptp.breln1invset @t2 @t143)) % 0.38/0.62 (define @t145 () (forall @t17 (or @t104 (= @t144 @t142)))) % 0.38/0.62 (define @t146 () (or @t108 @t145)) % 0.38/0.62 (define @t147 () (or @t125 @t36)) % 0.38/0.62 (define @t148 () (=> tptp.woz2W @t129)) % 0.38/0.62 (define @t149 () (tptp.breln1invset @t2 @t75)) % 0.38/0.62 (define @t150 () (or @t108 @t30)) % 0.38/0.62 (define @t151 () (=> tptp.woz2Ex @t148)) % 0.38/0.62 (define @t152 () (@var "BOUND_VARIABLE_7564" $$unsorted)) % 0.38/0.62 (define @t153 () (= (tptp.binunion @t1 @t152) (tptp.binunion @t152 @t1))) % 0.38/0.62 (define @t154 () (not (tptp.breln1 @t2 @t152))) % 0.38/0.62 (define @t155 () (or @t83 @t154 @t153)) % 0.38/0.62 (define @t156 () (or @t154 @t153)) % 0.38/0.62 (define @t157 () (or @t83 @t156)) % 0.38/0.62 (define @t158 () (@list @t2 @t1 @t152)) % 0.38/0.62 (define @t159 () (forall @t158 @t157)) % 0.38/0.62 (define @t160 () (@list @t152)) % 0.38/0.62 (define @t161 () (forall @t160 @t157)) % 0.38/0.62 (define @t162 () (forall @t160 @t156)) % 0.38/0.62 (define @t163 () (or @t83 @t162)) % 0.38/0.62 (define @t164 () (tptp.binunion @t11 @t1)) % 0.38/0.62 (define @t165 () (forall @t17 (or @t104 (= @t100 @t164)))) % 0.38/0.62 (define @t166 () (or @t108 @t165)) % 0.38/0.62 (define @t167 () (or @t125 @t24)) % 0.38/0.62 (define @t168 () (=> tptp.breln1unionCommutes @t151)) % 0.38/0.62 (define @t169 () (@var "BOUND_VARIABLE_7537" $$unsorted)) % 0.38/0.62 (define @t170 () (tptp.breln1 @t2 (tptp.breln1compset @t2 @t1 @t169))) % 0.38/0.62 (define @t171 () (not (tptp.breln1 @t2 @t169))) % 0.38/0.62 (define @t172 () (or @t171 @t170)) % 0.38/0.62 (define @t173 () (or @t83 @t172)) % 0.38/0.62 (define @t174 () (forall (@list @t2 @t1 @t169) @t173)) % 0.38/0.62 (define @t175 () (@list @t169)) % 0.38/0.62 (define @t176 () (forall @t175 @t173)) % 0.38/0.62 (define @t177 () (forall @t175 @t172)) % 0.38/0.62 (define @t178 () (or @t83 @t177)) % 0.38/0.62 (define @t179 () (tptp.breln1 @t2 @t143)) % 0.38/0.62 (define @t180 () (forall @t17 (or @t104 @t179))) % 0.38/0.62 (define @t181 () (or @t108 @t180)) % 0.38/0.62 (define @t182 () (or @t125 @t15)) % 0.38/0.62 (define @t183 () (=> tptp.breln1compprop @t168)) % 0.38/0.62 (define @t184 () (tptp.breln1 @t2 @t75)) % 0.38/0.62 (define @t185 () (or @t108 @t6)) % 0.38/0.62 (define @t186 () (=> tptp.breln1invprop @t183)) % 0.38/0.62 (define @t187 () (or @t81 @t80 @t79)) % 0.38/0.62 (define @t188 () (or @t83 @t187)) % 0.38/0.62 (define @t189 () (forall @t85 @t188)) % 0.38/0.62 (define @t190 () (@list @t78 @t76)) % 0.38/0.62 (define @t191 () (forall @t190 @t188)) % 0.38/0.62 (define @t192 () (forall @t190 @t187)) % 0.38/0.62 (define @t193 () (@var "BOUND_VARIABLE_7711" $$unsorted)) % 0.38/0.62 (define @t194 () (or @t83 @t192)) % 0.38/0.62 (define @t195 () (tptp.breln1invset @t2 @t193)) % 0.38/0.62 (define @t196 () (= (tptp.breln1compset @t2 @t100 @t193) (tptp.binunion (tptp.breln1invset @t2 (tptp.breln1compset @t2 @t195 @t141)) (tptp.breln1invset @t2 (tptp.breln1compset @t2 @t195 @t75))))) % 0.38/0.62 (define @t197 () (not (tptp.breln1 @t2 @t193))) % 0.38/0.62 (define @t198 () (or @t104 @t197 @t196)) % 0.38/0.62 (define @t199 () (@list @t11 @t193)) % 0.38/0.62 (define @t200 () (forall @t199 @t198)) % 0.38/0.62 (define @t201 () (or @t108 @t200)) % 0.38/0.62 (define @t202 () (or @t197 @t196)) % 0.38/0.62 (define @t203 () (or @t104 @t202)) % 0.38/0.62 (define @t204 () (forall @t199 @t203)) % 0.38/0.62 (define @t205 () (@list @t193)) % 0.38/0.62 (define @t206 () (forall @t205 @t203)) % 0.38/0.62 (define @t207 () (forall @t205 @t202)) % 0.38/0.62 (define @t208 () (or @t104 @t207)) % 0.38/0.62 (define @t209 () (tptp.breln1invset @t2 @t41)) % 0.38/0.62 (define @t210 () (tptp.breln1compset @t2 @t209 @t75)) % 0.38/0.62 (define @t211 () (tptp.breln1invset @t2 @t210)) % 0.38/0.62 (define @t212 () (tptp.breln1compset @t2 @t209 @t141)) % 0.38/0.62 (define @t213 () (tptp.breln1invset @t2 @t212)) % 0.38/0.62 (define @t214 () (tptp.binunion @t213 @t211)) % 0.38/0.62 (define @t215 () (forall @t48 (or @t123 (= @t121 @t214)))) % 0.38/0.62 (define @t216 () (or @t125 @t215)) % 0.38/0.62 (define @t217 () (_ @t12 @t209)) % 0.38/0.62 (define @t218 () (or @t127 @t62)) % 0.38/0.62 (define @t219 () (@quantifiers_skolemize @t86 1)) % 0.38/0.62 (define @t220 () (@quantifiers_skolemize @t86 0)) % 0.38/0.62 (define @t221 () (tptp.breln1invset @t220 @t219)) % 0.38/0.62 (define @t222 () (@quantifiers_skolemize @t86 3)) % 0.38/0.62 (define @t223 () (tptp.breln1invset @t220 @t222)) % 0.38/0.62 (define @t224 () (tptp.breln1compset @t220 @t223 @t221)) % 0.38/0.62 (define @t225 () (tptp.breln1invset @t220 @t224)) % 0.38/0.62 (define @t226 () (@quantifiers_skolemize @t86 2)) % 0.38/0.62 (define @t227 () (tptp.breln1invset @t220 @t226)) % 0.38/0.62 (define @t228 () (tptp.breln1compset @t220 @t223 @t227)) % 0.38/0.62 (define @t229 () (tptp.breln1invset @t220 @t228)) % 0.38/0.62 (define @t230 () (tptp.binunion @t229 @t225)) % 0.38/0.62 (define @t231 () (tptp.breln1compset @t220 (tptp.binunion @t219 @t226) @t222)) % 0.38/0.62 (define @t232 () (= @t231 @t230)) % 0.38/0.62 (define @t233 () (tptp.breln1 @t220 @t222)) % 0.38/0.62 (define @t234 () (not @t233)) % 0.38/0.62 (define @t235 () (tptp.breln1 @t220 @t226)) % 0.38/0.62 (define @t236 () (not @t235)) % 0.38/0.62 (define @t237 () (tptp.breln1 @t220 @t219)) % 0.38/0.62 (define @t238 () (not @t237)) % 0.38/0.62 (define @t239 () (or @t238 @t236 @t234 @t232)) % 0.38/0.62 (define @t240 () (not @t232)) % 0.38/0.62 (define @t241 () (@list true)) % 0.38/0.62 (define @t242 () (@list @t239)) % 0.38/0.62 (define @t243 () (@list @t220 @t219)) % 0.38/0.62 (define @t244 () (tptp.breln1invset @t220 @t221)) % 0.38/0.62 (define @t245 () (= @t219 @t244)) % 0.38/0.62 (define @t246 () (or @t238 @t245)) % 0.38/0.62 (define @t247 () (@list false false)) % 0.38/0.62 (define @t248 () (@list @t220 @t226)) % 0.38/0.62 (define @t249 () (tptp.breln1invset @t220 @t227)) % 0.38/0.62 (define @t250 () (= @t226 @t249)) % 0.38/0.62 (define @t251 () (or @t236 @t250)) % 0.38/0.62 (define @t252 () (@list @t220 @t222)) % 0.38/0.62 (define @t253 () (tptp.breln1invset @t220 @t223)) % 0.38/0.62 (define @t254 () (= @t222 @t253)) % 0.38/0.62 (define @t255 () (or @t234 @t254)) % 0.38/0.62 (define @t256 () (= @t231 (tptp.binunion (tptp.breln1compset @t220 @t219 @t222) (tptp.breln1compset @t220 @t226 @t222)))) % 0.38/0.62 (define @t257 () (or @t238 @t236 @t234 @t256)) % 0.38/0.62 (define @t258 () (@list @t220 @t223 @t221)) % 0.38/0.62 (define @t259 () (tptp.breln1 @t220 @t221)) % 0.38/0.62 (define @t260 () (or @t238 @t259)) % 0.38/0.62 (define @t261 () (tptp.breln1 @t220 @t223)) % 0.38/0.62 (define @t262 () (or @t234 @t261)) % 0.38/0.62 (define @t263 () (tptp.breln1compset @t220 @t244 @t253)) % 0.38/0.62 (define @t264 () (= @t225 @t263)) % 0.38/0.62 (define @t265 () (not @t259)) % 0.38/0.62 (define @t266 () (not @t261)) % 0.38/0.62 (define @t267 () (or @t266 @t265 @t264)) % 0.38/0.62 (define @t268 () (@list false false false)) % 0.38/0.62 (define @t269 () (@list @t220 @t223 @t227)) % 0.38/0.62 (define @t270 () (tptp.breln1 @t220 @t227)) % 0.38/0.62 (define @t271 () (or @t236 @t270)) % 0.38/0.62 (define @t272 () (tptp.breln1compset @t220 @t249 @t253)) % 0.38/0.62 (define @t273 () (= @t229 @t272)) % 0.38/0.62 (define @t274 () (not @t270)) % 0.38/0.62 (define @t275 () (or @t266 @t274 @t273)) % 0.38/0.62 (define @t276 () (tptp.binunion @t225 @t229)) % 0.38/0.62 (define @t277 () (tptp.breln1 @t220 @t229)) % 0.38/0.62 (define @t278 () (not @t277)) % 0.38/0.62 (define @t279 () (tptp.breln1 @t220 @t225)) % 0.38/0.62 (define @t280 () (not @t279)) % 0.38/0.62 (define @t281 () (= @t276 @t230)) % 0.38/0.62 (define @t282 () (or @t280 @t278 @t281)) % 0.38/0.62 (define @t283 () (forall @t158 @t155)) % 0.38/0.62 (define @t284 () (= @t230 @t276)) % 0.38/0.62 (define @t285 () (or @t280 @t278 @t284)) % 0.38/0.62 (define @t286 () (tptp.breln1 @t220 @t224)) % 0.38/0.62 (define @t287 () (or @t266 @t265 @t286)) % 0.38/0.62 (define @t288 () (not @t286)) % 0.38/0.62 (define @t289 () (or @t288 @t279)) % 0.38/0.62 (define @t290 () (tptp.breln1 @t220 @t228)) % 0.38/0.62 (define @t291 () (or @t266 @t274 @t290)) % 0.38/0.62 (define @t292 () (not @t290)) % 0.38/0.62 (define @t293 () (or @t292 @t277)) % 0.38/0.62 (define @t294 () (not @t284)) % 0.38/0.62 (define @t295 () (not @t256)) % 0.38/0.62 (define @t296 () (not @t273)) % 0.38/0.62 (define @t297 () (not @t264)) % 0.38/0.62 (define @t298 () (not @t254)) % 0.38/0.62 (define @t299 () (not @t250)) % 0.38/0.62 (define @t300 () (not @t245)) % 0.38/0.62 (define @t301 () (not @t281)) % 0.38/0.62 (define @t302 () (and @t284 @t294)) % 0.38/0.62 (assume @p1 @t10) % 0.38/0.62 (assume @p2 @t21) % 0.38/0.62 (assume @p3 @t28) % 0.38/0.62 (assume @p4 @t32) % 0.38/0.62 (assume @p5 @t40) % 0.38/0.62 (assume @p6 @t54) % 0.38/0.62 (assume @p7 @t74) % 0.38/0.62 (assume @p8 true) % 0.38/0.62 (step @p9 :rule refl :args (@t86)) % 0.38/0.62 (step @p10 :rule aci_norm :args ((= @t93 (or @t83 @t91 @t90 @t89)))) % 0.38/0.62 (step @p11 :rule cong :premises (@p10) :args (@t94)) % 0.38/0.62 (step @p12 :rule quant-merge-prenex :args ((= (forall @t8 @t96) @t94))) % 0.38/0.62 (step @p13 :rule alpha_equiv :args (@t97 (@list @t88 @t87) (@list @t11 @t98))) % 0.38/0.62 (step @p14 :rule refl :args (@t83)) % 0.38/0.62 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t99)) % 0.38/0.62 (step @p16 :rule quant-miniscope-or :args ((= @t96 @t99))) % 0.38/0.62 (step @p17 :rule trans :premises (@p16 @p15)) % 0.38/0.62 (step @p18 :rule symm :premises (@p17)) % 0.38/0.62 (step @p19 :rule cong :premises (@p18) :args ((forall @t8 (or @t83 @t107)))) % 0.38/0.62 (step @p20 :rule trans :premises (@p19 @p12)) % 0.38/0.62 (step @p21 :rule trans :premises (@p20 @p11)) % 0.38/0.62 (step @p22 :rule refl :args (@t107)) % 0.38/0.62 (step @p23 :rule refl :args (@t82)) % 0.38/0.62 (step @p24 :rule refl :args (@t7)) % 0.38/0.62 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t7 @t82))) % 0.38/0.62 (step @p26 :rule symm :premises (@p25)) % 0.38/0.62 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.38/0.62 (step @p28 :rule cong :premises (@p27) :args (@t108)) % 0.38/0.62 (step @p29 :rule nary_cong :premises (@p28 @p22) :args (@t109)) % 0.38/0.62 (step @p30 :rule cong :premises (@p29) :args ((forall @t8 @t109))) % 0.38/0.62 (step @p31 :rule trans :premises (@p30 @p21)) % 0.38/0.62 (step @p32 :rule bool-impl-elim :args (@t7 @t107)) % 0.38/0.62 (step @p33 :rule cong :premises (@p32) :args ((forall @t8 (=> @t7 @t107)))) % 0.38/0.62 (step @p34 :rule trans :premises (@p33 @p31)) % 0.38/0.62 (step @p35 :rule aci_norm :args ((= @t111 @t105))) % 0.38/0.62 (step @p36 :rule cong 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(step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.38/0.62 (step @p53 :rule cong :premises (@p52) :args (@t125)) % 0.38/0.62 (step @p54 :rule nary_cong :premises (@p53 @p47) :args (@t126)) % 0.38/0.62 (step @p55 :rule cong :premises (@p54) :args ((forall @t17 @t126))) % 0.38/0.62 (step @p56 :rule trans :premises (@p55 @p46)) % 0.38/0.62 (step @p57 :rule bool-impl-elim :args (@t16 @t124)) % 0.38/0.62 (step @p58 :rule cong :premises (@p57) :args ((forall @t17 (=> @t16 @t124)))) % 0.38/0.62 (step @p59 :rule trans :premises (@p58 @p56)) % 0.38/0.62 (step @p60 :rule refl :args ((tptp.binunion @t43 @t42))) % 0.38/0.62 (step @p61 :rule refl :args (@t118)) % 0.38/0.62 (step @p62 :rule refl :args (@t119)) % 0.38/0.62 (step @p63 :rule cong :premises (@p62 @p61) :args (@t120)) % 0.38/0.62 (step @p64 :rule trans :premises (@p63 @p60)) % 0.38/0.62 (step @p65 :rule refl :args (tptp.binunion)) % 0.38/0.62 (step @p66 :rule ho_cong :premises (@p65 @p62)) % 0.38/0.62 (step @p67 :rule ho_cong 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(step @p100 :rule ho_cong :premises (@p89 @p99)) % 0.38/0.62 (step @p101 :rule ho_cong :premises (@p100 @p84)) % 0.38/0.62 (step @p102 :rule trans :premises (@p101 @p95)) % 0.38/0.62 (step @p103 :rule cong :premises (@p102 @p82) :args (@t46)) % 0.38/0.62 (step @p104 :rule refl :args (@t122)) % 0.38/0.62 (step @p105 :rule refl :args (@t47)) % 0.38/0.62 (step @p106 :rule cong :premises (@p105 @p104) :args ((= @t47 @t122))) % 0.38/0.62 (step @p107 :rule symm :premises (@p106)) % 0.38/0.62 (step @p108 :rule eq_resolve :premises (@p105 @p107)) % 0.38/0.62 (step @p109 :rule cong :premises (@p108) :args (@t127)) % 0.38/0.62 (step @p110 :rule nary_cong :premises (@p109 @p103) :args (@t128)) % 0.38/0.62 (step @p111 :rule cong :premises (@p110) :args ((forall @t48 @t128))) % 0.38/0.62 (step @p112 :rule bool-impl-elim :args (@t47 @t46)) % 0.38/0.62 (step @p113 :rule cong :premises (@p112) :args (@t49)) % 0.38/0.62 (step @p114 :rule trans :premises (@p113 @p111)) % 0.38/0.62 (step @p115 :rule refl 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@t245 @t232))) % 0.35/0.63 ) % 0.35/0.63 % SZS output end Proof % 0.35/0.63 % cvc5 exiting %------------------------------------------------------------------------------