%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN036-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 09:07:49 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.63s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN036-1 : TPTP v9.2.1. Released v1.0.0. % 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 : n010.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 23:17:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.63 % SZS status Unsatisfiable % 0.36/0.63 % SZS output start Proof % 0.36/0.66 ( % 0.36/0.66 (declare-sort $$unsorted 0) % 0.36/0.66 (declare-const tptp.c15 $$unsorted) % 0.36/0.66 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.c12 $$unsorted) % 0.36/0.66 (declare-const tptp.c14 $$unsorted) % 0.36/0.66 (declare-const tptp.c13 $$unsorted) % 0.36/0.66 (declare-const tptp.c20 $$unsorted) % 0.36/0.66 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.c19 $$unsorted) % 0.36/0.66 (declare-const tptp.c17 $$unsorted) % 0.36/0.66 (declare-const tptp.c18 $$unsorted) % 0.36/0.66 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.36/0.66 (declare-const tptp.c11 $$unsorted) % 0.36/0.66 (declare-const tptp.f2 (-> $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.c4 $$unsorted) % 0.36/0.66 (declare-const tptp.c7 $$unsorted) % 0.36/0.66 (declare-const tptp.c16 $$unsorted) % 0.36/0.66 (declare-const tptp.c8 $$unsorted) % 0.36/0.66 (declare-const tptp.f1 (-> $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.c1 $$unsorted) % 0.36/0.66 (declare-const tptp.c6 $$unsorted) % 0.36/0.66 (declare-const tptp.c10 $$unsorted) % 0.36/0.66 (declare-const tptp.c9 $$unsorted) % 0.36/0.66 (declare-const tptp.c5 $$unsorted) % 0.36/0.66 (declare-const tptp.big_q (-> $$unsorted Bool)) % 0.36/0.66 (declare-const tptp.c3 $$unsorted) % 0.36/0.66 (declare-const tptp.c2 $$unsorted) % 0.36/0.66 (define @t1 () (@var "X2" $$unsorted)) % 0.36/0.66 (define @t2 () (tptp.big_q @t1)) % 0.36/0.66 (define @t3 () (@var "X1" $$unsorted)) % 0.36/0.66 (define @t4 () (not (tptp.big_p @t3))) % 0.36/0.66 (define @t5 () (@var "W" $$unsorted)) % 0.36/0.66 (define @t6 () (tptp.big_q @t5)) % 0.36/0.66 (define @t7 () (tptp.big_q (tptp.f2 @t5))) % 0.36/0.66 (define @t8 () (@var "V" $$unsorted)) % 0.36/0.66 (define @t9 () (tptp.big_p @t8)) % 0.36/0.66 (define @t10 () (@var "U" $$unsorted)) % 0.36/0.66 (define @t11 () (not (tptp.big_q @t10))) % 0.36/0.66 (define @t12 () (@var "X" $$unsorted)) % 0.36/0.66 (define @t13 () (tptp.big_p (tptp.f1 @t12))) % 0.36/0.66 (define @t14 () (tptp.big_p @t12)) % 0.36/0.66 (define @t15 () (@list @t12 @t10 @t8 @t5 @t3 @t1)) % 0.36/0.66 (define @t16 () (tptp.big_q tptp.c7)) % 0.36/0.66 (define @t17 () (not @t16)) % 0.36/0.66 (define @t18 () (tptp.big_p tptp.c6)) % 0.36/0.66 (define @t19 () (@list @t12 @t10 @t8 @t5)) % 0.36/0.66 (define @t20 () (not @t6)) % 0.36/0.66 (define @t21 () (not @t7)) % 0.36/0.66 (define @t22 () (or @t14 @t13 @t11 @t9 @t21 @t20 @t18 @t17)) % 0.36/0.66 (define @t23 () (forall @t19 @t22)) % 0.36/0.66 (define @t24 () (@var "X5" $$unsorted)) % 0.36/0.66 (define @t25 () (tptp.big_q @t24)) % 0.36/0.66 (define @t26 () (tptp.big_p tptp.c9)) % 0.36/0.66 (define @t27 () (tptp.big_q tptp.c8)) % 0.36/0.66 (define @t28 () (@var "Z" $$unsorted)) % 0.36/0.66 (define @t29 () (tptp.big_q @t28)) % 0.36/0.66 (define @t30 () (not @t29)) % 0.36/0.66 (define @t31 () (or @t14 @t13 @t11 @t9 @t30 @t27 @t26 @t25)) % 0.36/0.66 (define @t32 () (@list @t12 @t10 @t8 @t28 @t24)) % 0.36/0.66 (define @t33 () (forall @t32 @t31)) % 0.36/0.66 (define @t34 () (not (tptp.big_q tptp.c10))) % 0.36/0.66 (define @t35 () (@var "X6" $$unsorted)) % 0.36/0.66 (define @t36 () (not (tptp.big_p @t35))) % 0.36/0.66 (define @t37 () (@list @t12 @t10 @t8 @t28 @t35)) % 0.36/0.66 (define @t38 () (not @t27)) % 0.36/0.66 (define @t39 () (or @t14 @t13 @t11 @t9 @t29 @t38 @t26 @t25)) % 0.36/0.66 (define @t40 () (forall @t32 @t39)) % 0.36/0.66 (define @t41 () (tptp.big_p tptp.c2)) % 0.36/0.66 (define @t42 () (not @t41)) % 0.36/0.66 (define @t43 () (tptp.big_q tptp.c1)) % 0.36/0.66 (define @t44 () (@list @t12 @t5 @t3 @t1)) % 0.36/0.66 (define @t45 () (@list @t12 @t5)) % 0.36/0.66 (define @t46 () (@list @t12 @t28 @t24)) % 0.36/0.66 (define @t47 () (@list @t12 @t28 @t35)) % 0.36/0.66 (define @t48 () (not @t13)) % 0.36/0.66 (define @t49 () (not @t14)) % 0.36/0.66 (define @t50 () (or @t49 @t48 @t43 @t42 @t7 @t6 @t4 @t2)) % 0.36/0.66 (define @t51 () (forall @t44 @t50)) % 0.36/0.66 (define @t52 () (@var "X3" $$unsorted)) % 0.36/0.66 (define @t53 () (tptp.big_p @t52)) % 0.36/0.66 (define @t54 () (tptp.big_q tptp.c4)) % 0.36/0.66 (define @t55 () (@var "Y" $$unsorted)) % 0.36/0.66 (define @t56 () (tptp.big_p @t55)) % 0.36/0.66 (define @t57 () (tptp.big_p tptp.c3)) % 0.36/0.66 (define @t58 () (not @t57)) % 0.36/0.66 (define @t59 () (or @t58 @t56 @t54 @t53 @t7 @t6 @t4 @t2)) % 0.36/0.66 (define @t60 () (@list @t55 @t52 @t5 @t3 @t1)) % 0.36/0.66 (define @t61 () (forall @t60 @t59)) % 0.36/0.66 (define @t62 () (@list @t55 @t52 @t5)) % 0.36/0.66 (define @t63 () (@list @t55 @t52 @t28 @t24)) % 0.36/0.66 (define @t64 () (@list @t55 @t52 @t28 @t35)) % 0.36/0.66 (define @t65 () (not (tptp.big_p tptp.c5))) % 0.36/0.66 (define @t66 () (@var "X4" $$unsorted)) % 0.36/0.66 (define @t67 () (not (tptp.big_q @t66))) % 0.36/0.66 (define @t68 () (@list @t55 @t66 @t5 @t3 @t1)) % 0.36/0.66 (define @t69 () (@list @t55 @t66 @t5)) % 0.36/0.66 (define @t70 () (@list @t55 @t66 @t28 @t24)) % 0.36/0.66 (define @t71 () (@list @t55 @t66 @t28 @t35)) % 0.36/0.66 (define @t72 () (not @t56)) % 0.36/0.66 (define @t73 () (or @t57 @t72 @t54 @t53 @t7 @t6 @t4 @t2)) % 0.36/0.66 (define @t74 () (forall @t60 @t73)) % 0.36/0.66 (define @t75 () (@var "X15" $$unsorted)) % 0.36/0.66 (define @t76 () (tptp.big_q @t75)) % 0.36/0.66 (define @t77 () (@var "X14" $$unsorted)) % 0.36/0.66 (define @t78 () (not (tptp.big_p @t77))) % 0.36/0.66 (define @t79 () (tptp.big_q tptp.c16)) % 0.36/0.66 (define @t80 () (@var "X13" $$unsorted)) % 0.36/0.66 (define @t81 () (tptp.big_q @t80)) % 0.36/0.66 (define @t82 () (not @t81)) % 0.36/0.66 (define @t83 () (@var "X9" $$unsorted)) % 0.36/0.66 (define @t84 () (tptp.big_p @t83)) % 0.36/0.66 (define @t85 () (@var "X8" $$unsorted)) % 0.36/0.66 (define @t86 () (not (tptp.big_q @t85))) % 0.36/0.66 (define @t87 () (@var "X7" $$unsorted)) % 0.36/0.66 (define @t88 () (tptp.big_p @t87)) % 0.36/0.66 (define @t89 () (tptp.big_p tptp.c11)) % 0.36/0.66 (define @t90 () (not @t89)) % 0.36/0.66 (define @t91 () (or @t90 @t88 @t86 @t84 @t82 @t79 @t78 @t76)) % 0.36/0.66 (define @t92 () (@list @t87 @t85 @t83 @t80 @t77 @t75)) % 0.36/0.66 (define @t93 () (forall @t92 @t91)) % 0.36/0.66 (define @t94 () (not (tptp.big_q tptp.c18))) % 0.36/0.66 (define @t95 () (tptp.big_p tptp.c17)) % 0.36/0.66 (define @t96 () (@list @t87 @t85 @t83 @t80)) % 0.36/0.66 (define @t97 () (not @t79)) % 0.36/0.66 (define @t98 () (or @t90 @t88 @t86 @t84 @t81 @t97 @t78 @t76)) % 0.36/0.66 (define @t99 () (forall @t92 @t98)) % 0.36/0.66 (define @t100 () (@var "X17" $$unsorted)) % 0.36/0.66 (define @t101 () (tptp.big_q @t100)) % 0.36/0.66 (define @t102 () (tptp.big_p tptp.c19)) % 0.36/0.66 (define @t103 () (@var "X16" $$unsorted)) % 0.36/0.66 (define @t104 () (tptp.big_q @t103)) % 0.36/0.66 (define @t105 () (tptp.big_q (tptp.f4 @t103))) % 0.36/0.66 (define @t106 () (@list @t87 @t85 @t83 @t103 @t100)) % 0.36/0.66 (define @t107 () (tptp.big_q tptp.c20)) % 0.36/0.66 (define @t108 () (not @t107)) % 0.36/0.66 (define @t109 () (@var "X18" $$unsorted)) % 0.36/0.66 (define @t110 () (not (tptp.big_p @t109))) % 0.36/0.66 (define @t111 () (@list @t87 @t85 @t83 @t103 @t109)) % 0.36/0.66 (define @t112 () (not @t104)) % 0.36/0.66 (define @t113 () (not @t105)) % 0.36/0.66 (define @t114 () (or @t90 @t88 @t86 @t84 @t113 @t112 @t110 @t108)) % 0.36/0.66 (define @t115 () (forall @t111 @t114)) % 0.36/0.66 (define @t116 () (not (tptp.big_p tptp.c13))) % 0.36/0.66 (define @t117 () (tptp.big_q tptp.c12)) % 0.36/0.66 (define @t118 () (@list @t87 @t80 @t77 @t75)) % 0.36/0.66 (define @t119 () (@list @t87 @t80)) % 0.36/0.66 (define @t120 () (@list @t87 @t103 @t100)) % 0.36/0.66 (define @t121 () (@list @t87 @t103 @t109)) % 0.36/0.66 (define @t122 () (not @t88)) % 0.36/0.66 (define @t123 () (or @t89 @t122 @t86 @t84 @t82 @t79 @t78 @t76)) % 0.36/0.66 (define @t124 () (forall @t92 @t123)) % 0.36/0.66 (define @t125 () (or @t89 @t122 @t86 @t84 @t81 @t97 @t78 @t76)) % 0.36/0.66 (define @t126 () (forall @t92 @t125)) % 0.36/0.66 (define @t127 () (or @t89 @t122 @t86 @t84 @t113 @t112 @t110 @t108)) % 0.36/0.66 (define @t128 () (forall @t111 @t127)) % 0.36/0.66 (define @t129 () (@var "X11" $$unsorted)) % 0.36/0.66 (define @t130 () (tptp.big_p @t129)) % 0.36/0.66 (define @t131 () (tptp.big_q tptp.c14)) % 0.36/0.66 (define @t132 () (@var "X10" $$unsorted)) % 0.36/0.66 (define @t133 () (tptp.big_p (tptp.f3 @t132))) % 0.36/0.66 (define @t134 () (tptp.big_p @t132)) % 0.36/0.66 (define @t135 () (@list @t132 @t129 @t80 @t77 @t75)) % 0.36/0.66 (define @t136 () (@list @t132 @t129 @t80)) % 0.36/0.66 (define @t137 () (or @t134 @t133 @t131 @t130 @t105 @t104 @t102 @t101)) % 0.36/0.66 (define @t138 () (@list @t132 @t129 @t103 @t100)) % 0.36/0.66 (define @t139 () (forall @t138 @t137)) % 0.36/0.66 (define @t140 () (@list @t132 @t129 @t103 @t109)) % 0.36/0.66 (define @t141 () (tptp.big_p tptp.c15)) % 0.36/0.66 (define @t142 () (not @t141)) % 0.36/0.66 (define @t143 () (@var "X12" $$unsorted)) % 0.36/0.66 (define @t144 () (not (tptp.big_q @t143))) % 0.36/0.66 (define @t145 () (@list @t132 @t143 @t80 @t77 @t75)) % 0.36/0.66 (define @t146 () (@list @t132 @t143 @t80)) % 0.36/0.66 (define @t147 () (@list @t132 @t143 @t103 @t100)) % 0.36/0.66 (define @t148 () (@list @t132 @t143 @t103 @t109)) % 0.36/0.66 (define @t149 () (not @t133)) % 0.36/0.66 (define @t150 () (not @t134)) % 0.36/0.66 (define @t151 () (or @t150 @t149 @t144 @t142 @t82 @t79 @t78 @t76)) % 0.36/0.66 (define @t152 () (forall @t145 @t151)) % 0.36/0.66 (define @t153 () (or @t150 @t149 @t144 @t142 @t81 @t97 @t78 @t76)) % 0.36/0.66 (define @t154 () (forall @t145 @t153)) % 0.36/0.66 (define @t155 () (or @t150 @t149 @t144 @t142 @t113 @t112 @t110 @t108)) % 0.36/0.66 (define @t156 () (forall @t148 @t155)) % 0.36/0.66 (define @t157 () (forall (@list @t8) @t9)) % 0.36/0.66 (define @t158 () (@list @t8)) % 0.36/0.66 (define @t159 () (@list @t55)) % 0.36/0.66 (define @t160 () (@list @t87)) % 0.36/0.66 (define @t161 () (forall (@list @t10) @t11)) % 0.36/0.66 (define @t162 () (@list @t10)) % 0.36/0.66 (define @t163 () (@list @t80)) % 0.36/0.66 (define @t164 () (not @t161)) % 0.36/0.66 (define @t165 () (@list @t80)) % 0.36/0.66 (define @t166 () (forall @t165 @t82)) % 0.36/0.66 (define @t167 () (forall (@list @t3) @t4)) % 0.36/0.66 (define @t168 () (or @t49 @t48)) % 0.36/0.66 (define @t169 () (@list @t12)) % 0.36/0.66 (define @t170 () (forall @t169 @t168)) % 0.36/0.66 (define @t171 () (@quantifiers_skolemize @t170 0)) % 0.36/0.66 (define @t172 () (@list @t171)) % 0.36/0.66 (define @t173 () (tptp.big_p @t171)) % 0.36/0.66 (define @t174 () (tptp.f1 @t171)) % 0.36/0.66 (define @t175 () (tptp.big_p @t174)) % 0.36/0.66 (define @t176 () (or @t14 @t13)) % 0.36/0.66 (define @t177 () (forall @t169 @t176)) % 0.36/0.66 (define @t178 () (@quantifiers_skolemize @t177 0)) % 0.36/0.66 (define @t179 () (tptp.f1 @t178)) % 0.36/0.66 (define @t180 () (tptp.big_p @t179)) % 0.36/0.66 (define @t181 () (tptp.big_p @t178)) % 0.36/0.66 (define @t182 () (or @t181 @t180)) % 0.36/0.66 (define @t183 () (not @t182)) % 0.36/0.66 (define @t184 () (not @t177)) % 0.36/0.66 (define @t185 () (@list @t178)) % 0.36/0.66 (define @t186 () (forall (@list @t1) @t2)) % 0.36/0.66 (define @t187 () (@list @t1)) % 0.36/0.66 (define @t188 () (not @t186)) % 0.36/0.66 (define @t189 () (forall (@list @t75) @t76)) % 0.36/0.66 (define @t190 () (@list @t28)) % 0.36/0.66 (define @t191 () (@list @t3)) % 0.36/0.66 (define @t192 () (not @t167)) % 0.36/0.66 (define @t193 () (forall (@list @t77) @t78)) % 0.36/0.66 (define @t194 () (forall (@list @t83) @t84)) % 0.36/0.66 (define @t195 () (forall (@list @t85) @t86)) % 0.36/0.66 (define @t196 () (@list @t87)) % 0.36/0.66 (define @t197 () (forall @t196 @t88)) % 0.36/0.66 (define @t198 () (or @t90 @t79 @t88 @t86 @t84 @t82 @t78 @t76)) % 0.36/0.66 (define @t199 () (forall @t196 @t122)) % 0.36/0.66 (define @t200 () (or @t89 @t79 @t122 @t86 @t84 @t82 @t78 @t76)) % 0.36/0.66 (define @t201 () (@list true)) % 0.36/0.66 (define @t202 () (forall @t165 @t81)) % 0.36/0.66 (define @t203 () (or @t90 @t97 @t88 @t86 @t84 @t81 @t78 @t76)) % 0.36/0.66 (define @t204 () (or @t89 @t97 @t122 @t86 @t84 @t81 @t78 @t76)) % 0.36/0.66 (define @t205 () (forall (@list @t24) @t25)) % 0.36/0.66 (define @t206 () (@list @t28)) % 0.36/0.66 (define @t207 () (forall @t206 @t30)) % 0.36/0.66 (define @t208 () (or @t27 @t26 @t176 @t11 @t9 @t30 @t25)) % 0.36/0.66 (define @t209 () (forall @t206 @t29)) % 0.36/0.66 (define @t210 () (or @t38 @t26 @t176 @t11 @t9 @t29 @t25)) % 0.36/0.66 (define @t211 () (@list tptp.c7)) % 0.36/0.66 (define @t212 () (tptp.f4 tptp.c7)) % 0.36/0.66 (define @t213 () (tptp.big_q @t212)) % 0.36/0.66 (define @t214 () (tptp.f2 tptp.c7)) % 0.36/0.66 (define @t215 () (@list @t214)) % 0.36/0.66 (define @t216 () (tptp.big_q @t214)) % 0.36/0.66 (define @t217 () (not @t216)) % 0.36/0.66 (define @t218 () (or @t217 @t17)) % 0.36/0.66 (define @t219 () (or @t21 @t20)) % 0.36/0.66 (define @t220 () (@list @t5)) % 0.36/0.66 (define @t221 () (forall @t220 @t219)) % 0.36/0.66 (define @t222 () (or @t18 @t17 @t176 @t11 @t9 @t219)) % 0.36/0.66 (define @t223 () (not @t213)) % 0.36/0.66 (define @t224 () (or @t223 @t17)) % 0.36/0.66 (define @t225 () (not @t224)) % 0.36/0.66 (define @t226 () (or @t113 @t112)) % 0.36/0.66 (define @t227 () (@list @t103)) % 0.36/0.66 (define @t228 () (forall @t227 @t226)) % 0.36/0.66 (define @t229 () (forall (@list @t109) @t110)) % 0.36/0.66 (define @t230 () (or @t89 @t108 @t122 @t86 @t84 @t226 @t110)) % 0.36/0.66 (define @t231 () (or @t90 @t108 @t88 @t86 @t84 @t226 @t110)) % 0.36/0.66 (define @t232 () (@list tptp.c8)) % 0.36/0.66 (define @t233 () (@quantifiers_skolemize @t228 0)) % 0.36/0.66 (define @t234 () (@list @t233)) % 0.36/0.66 (define @t235 () (tptp.big_q @t233)) % 0.36/0.66 (define @t236 () (tptp.f4 @t233)) % 0.36/0.66 (define @t237 () (tptp.big_q @t236)) % 0.36/0.66 (define @t238 () (or @t237 @t235)) % 0.36/0.66 (define @t239 () (or @t216 @t16)) % 0.36/0.66 (define @t240 () (or @t105 @t104)) % 0.36/0.66 (define @t241 () (forall @t227 @t240)) % 0.36/0.66 (define @t242 () (or @t7 @t6)) % 0.36/0.66 (define @t243 () (forall @t220 @t242)) % 0.36/0.66 (define @t244 () (forall (@list @t52) @t53)) % 0.36/0.66 (define @t245 () (@list @t55)) % 0.36/0.66 (define @t246 () (forall @t245 @t56)) % 0.36/0.66 (define @t247 () (or @t58 @t54 @t56 @t53 @t242 @t4 @t2)) % 0.36/0.66 (define @t248 () (forall @t245 @t72)) % 0.36/0.66 (define @t249 () (or @t57 @t54 @t72 @t53 @t242 @t4 @t2)) % 0.36/0.66 (define @t250 () (or @t150 @t149)) % 0.36/0.66 (define @t251 () (@list @t132)) % 0.36/0.66 (define @t252 () (forall @t251 @t250)) % 0.36/0.66 (define @t253 () (@quantifiers_skolemize @t252 0)) % 0.36/0.66 (define @t254 () (@list @t253)) % 0.36/0.66 (define @t255 () (tptp.big_p @t253)) % 0.36/0.66 (define @t256 () (tptp.f3 @t253)) % 0.36/0.66 (define @t257 () (tptp.big_p @t256)) % 0.36/0.66 (define @t258 () (forall (@list @t100) @t101)) % 0.36/0.66 (define @t259 () (forall (@list @t129) @t130)) % 0.36/0.66 (define @t260 () (or @t134 @t133)) % 0.36/0.66 (define @t261 () (forall @t251 @t260)) % 0.36/0.66 (define @t262 () (or @t131 @t102 @t260 @t130 @t240 @t101)) % 0.36/0.66 (define @t263 () (or @t255 @t257)) % 0.36/0.66 (define @t264 () (or @t173 @t175)) % 0.36/0.66 (define @t265 () (@list false)) % 0.36/0.66 (define @t266 () (@list @t167)) % 0.36/0.66 (define @t267 () (@quantifiers_skolemize @t241 0)) % 0.36/0.66 (define @t268 () (@list @t267)) % 0.36/0.66 (define @t269 () (tptp.big_q @t267)) % 0.36/0.66 (define @t270 () (tptp.f4 @t267)) % 0.36/0.66 (define @t271 () (tptp.big_q @t270)) % 0.36/0.66 (define @t272 () (not @t269)) % 0.36/0.66 (define @t273 () (not @t271)) % 0.36/0.66 (define @t274 () (or @t273 @t272)) % 0.36/0.66 (define @t275 () (@quantifiers_skolemize @t261 0)) % 0.36/0.66 (define @t276 () (tptp.f3 @t275)) % 0.36/0.66 (define @t277 () (tptp.big_p @t276)) % 0.36/0.66 (define @t278 () (@list @t157)) % 0.36/0.66 (define @t279 () (@list @t275)) % 0.36/0.66 (define @t280 () (tptp.big_p @t275)) % 0.36/0.66 (define @t281 () (not @t277)) % 0.36/0.66 (define @t282 () (not @t280)) % 0.36/0.66 (define @t283 () (or @t282 @t281)) % 0.36/0.66 (define @t284 () (not @t283)) % 0.36/0.66 (define @t285 () (@list false false)) % 0.36/0.66 (define @t286 () (not @t180)) % 0.36/0.66 (define @t287 () (not @t181)) % 0.36/0.66 (define @t288 () (or @t287 @t286)) % 0.36/0.66 (define @t289 () (not @t288)) % 0.36/0.66 (define @t290 () (not @t157)) % 0.36/0.66 (define @t291 () (or @t43 @t42 @t168 @t242 @t4 @t2)) % 0.36/0.66 (define @t292 () (forall (@list @t143) @t144)) % 0.36/0.66 (define @t293 () (@list @t161)) % 0.36/0.66 (define @t294 () (or @t142 @t79 @t250 @t144 @t82 @t78 @t76)) % 0.36/0.66 (define @t295 () (or @t142 @t97 @t250 @t144 @t81 @t78 @t76)) % 0.36/0.66 (define @t296 () (@list @t186)) % 0.36/0.66 (define @t297 () (or @t142 @t108 @t250 @t144 @t226 @t110)) % 0.36/0.66 (assume @p1 (forall @t15 (or @t14 @t13 @t11 @t9 @t7 @t6 @t4 @t2))) % 0.36/0.66 (assume @p2 (forall @t19 (or @t14 @t13 @t11 @t9 @t7 @t6 @t18 @t17))) % 0.36/0.66 (assume @p3 (forall @t15 (or @t14 @t13 @t11 @t9 @t21 @t20 @t4 @t2))) % 0.36/0.66 (assume @p4 @t23) % 0.36/0.66 (assume @p5 @t33) % 0.36/0.66 (assume @p6 (forall @t37 (or @t14 @t13 @t11 @t9 @t30 @t27 @t36 @t34))) % 0.36/0.66 (assume @p7 @t40) % 0.36/0.66 (assume @p8 (forall @t37 (or @t14 @t13 @t11 @t9 @t29 @t38 @t36 @t34))) % 0.36/0.66 (assume @p9 (forall @t44 (or @t14 @t13 @t43 @t42 @t7 @t6 @t4 @t2))) % 0.36/0.66 (assume @p10 (forall @t45 (or @t14 @t13 @t43 @t42 @t7 @t6 @t18 @t17))) % 0.36/0.66 (assume @p11 (forall @t44 (or @t14 @t13 @t43 @t42 @t21 @t20 @t4 @t2))) % 0.36/0.66 (assume @p12 (forall @t45 (or @t14 @t13 @t43 @t42 @t21 @t20 @t18 @t17))) % 0.36/0.66 (assume @p13 (forall @t46 (or @t14 @t13 @t43 @t42 @t30 @t27 @t26 @t25))) % 0.36/0.66 (assume @p14 (forall @t47 (or @t14 @t13 @t43 @t42 @t30 @t27 @t36 @t34))) % 0.36/0.66 (assume @p15 (forall @t46 (or @t14 @t13 @t43 @t42 @t29 @t38 @t26 @t25))) % 0.36/0.66 (assume @p16 (forall @t47 (or @t14 @t13 @t43 @t42 @t29 @t38 @t36 @t34))) % 0.36/0.66 (assume @p17 (forall @t15 (or @t49 @t48 @t11 @t9 @t7 @t6 @t4 @t2))) % 0.36/0.66 (assume @p18 (forall @t19 (or @t49 @t48 @t11 @t9 @t7 @t6 @t18 @t17))) % 0.36/0.66 (assume @p19 (forall @t15 (or @t49 @t48 @t11 @t9 @t21 @t20 @t4 @t2))) % 0.36/0.66 (assume @p20 (forall @t19 (or @t49 @t48 @t11 @t9 @t21 @t20 @t18 @t17))) % 0.36/0.66 (assume @p21 (forall @t32 (or @t49 @t48 @t11 @t9 @t30 @t27 @t26 @t25))) % 0.36/0.66 (assume @p22 (forall @t37 (or @t49 @t48 @t11 @t9 @t30 @t27 @t36 @t34))) % 0.36/0.66 (assume @p23 (forall @t32 (or @t49 @t48 @t11 @t9 @t29 @t38 @t26 @t25))) % 0.36/0.66 (assume @p24 (forall @t37 (or @t49 @t48 @t11 @t9 @t29 @t38 @t36 @t34))) % 0.36/0.66 (assume @p25 @t51) % 0.36/0.66 (assume @p26 (forall @t45 (or @t49 @t48 @t43 @t42 @t7 @t6 @t18 @t17))) % 0.36/0.66 (assume @p27 (forall @t44 (or @t49 @t48 @t43 @t42 @t21 @t20 @t4 @t2))) % 0.36/0.66 (assume @p28 (forall @t45 (or @t49 @t48 @t43 @t42 @t21 @t20 @t18 @t17))) % 0.36/0.66 (assume @p29 (forall @t46 (or @t49 @t48 @t43 @t42 @t30 @t27 @t26 @t25))) % 0.36/0.66 (assume @p30 (forall @t47 (or @t49 @t48 @t43 @t42 @t30 @t27 @t36 @t34))) % 0.36/0.66 (assume @p31 (forall @t46 (or @t49 @t48 @t43 @t42 @t29 @t38 @t26 @t25))) % 0.36/0.66 (assume @p32 (forall @t47 (or @t49 @t48 @t43 @t42 @t29 @t38 @t36 @t34))) % 0.36/0.66 (assume @p33 @t61) % 0.36/0.66 (assume @p34 (forall @t62 (or @t58 @t56 @t54 @t53 @t7 @t6 @t18 @t17))) % 0.36/0.66 (assume @p35 (forall @t60 (or @t58 @t56 @t54 @t53 @t21 @t20 @t4 @t2))) % 0.36/0.66 (assume @p36 (forall @t62 (or @t58 @t56 @t54 @t53 @t21 @t20 @t18 @t17))) % 0.36/0.66 (assume @p37 (forall @t63 (or @t58 @t56 @t54 @t53 @t30 @t27 @t26 @t25))) % 0.36/0.66 (assume @p38 (forall @t64 (or @t58 @t56 @t54 @t53 @t30 @t27 @t36 @t34))) % 0.36/0.66 (assume @p39 (forall @t63 (or @t58 @t56 @t54 @t53 @t29 @t38 @t26 @t25))) % 0.36/0.66 (assume @p40 (forall @t64 (or @t58 @t56 @t54 @t53 @t29 @t38 @t36 @t34))) % 0.36/0.66 (assume @p41 (forall @t68 (or @t58 @t56 @t67 @t65 @t7 @t6 @t4 @t2))) % 0.36/0.66 (assume @p42 (forall @t69 (or @t58 @t56 @t67 @t65 @t7 @t6 @t18 @t17))) % 0.36/0.66 (assume @p43 (forall @t68 (or @t58 @t56 @t67 @t65 @t21 @t20 @t4 @t2))) % 0.36/0.66 (assume @p44 (forall @t69 (or @t58 @t56 @t67 @t65 @t21 @t20 @t18 @t17))) % 0.36/0.66 (assume @p45 (forall @t70 (or @t58 @t56 @t67 @t65 @t30 @t27 @t26 @t25))) % 0.36/0.66 (assume @p46 (forall @t71 (or @t58 @t56 @t67 @t65 @t30 @t27 @t36 @t34))) % 0.36/0.66 (assume @p47 (forall @t70 (or @t58 @t56 @t67 @t65 @t29 @t38 @t26 @t25))) % 0.36/0.66 (assume @p48 (forall @t71 (or @t58 @t56 @t67 @t65 @t29 @t38 @t36 @t34))) % 0.36/0.66 (assume @p49 @t74) % 0.36/0.66 (assume @p50 (forall @t62 (or @t57 @t72 @t54 @t53 @t7 @t6 @t18 @t17))) % 0.36/0.66 (assume @p51 (forall @t60 (or @t57 @t72 @t54 @t53 @t21 @t20 @t4 @t2))) % 0.36/0.66 (assume @p52 (forall @t62 (or @t57 @t72 @t54 @t53 @t21 @t20 @t18 @t17))) % 0.36/0.66 (assume @p53 (forall @t63 (or @t57 @t72 @t54 @t53 @t30 @t27 @t26 @t25))) % 0.36/0.66 (assume @p54 (forall @t64 (or @t57 @t72 @t54 @t53 @t30 @t27 @t36 @t34))) % 0.36/0.66 (assume @p55 (forall @t63 (or @t57 @t72 @t54 @t53 @t29 @t38 @t26 @t25))) % 0.36/0.66 (assume @p56 (forall @t64 (or @t57 @t72 @t54 @t53 @t29 @t38 @t36 @t34))) % 0.36/0.66 (assume @p57 (forall @t68 (or @t57 @t72 @t67 @t65 @t7 @t6 @t4 @t2))) % 0.36/0.66 (assume @p58 (forall @t69 (or @t57 @t72 @t67 @t65 @t7 @t6 @t18 @t17))) % 0.36/0.66 (assume @p59 (forall @t68 (or @t57 @t72 @t67 @t65 @t21 @t20 @t4 @t2))) % 0.36/0.66 (assume @p60 (forall @t69 (or @t57 @t72 @t67 @t65 @t21 @t20 @t18 @t17))) % 0.36/0.66 (assume @p61 (forall @t70 (or @t57 @t72 @t67 @t65 @t30 @t27 @t26 @t25))) % 0.36/0.66 (assume @p62 (forall @t71 (or @t57 @t72 @t67 @t65 @t30 @t27 @t36 @t34))) % 0.36/0.66 (assume @p63 (forall @t70 (or @t57 @t72 @t67 @t65 @t29 @t38 @t26 @t25))) % 0.36/0.66 (assume @p64 (forall @t71 (or @t57 @t72 @t67 @t65 @t29 @t38 @t36 @t34))) % 0.36/0.66 (assume @p65 @t93) % 0.36/0.66 (assume @p66 (forall @t96 (or @t90 @t88 @t86 @t84 @t82 @t79 @t95 @t94))) % 0.36/0.66 (assume @p67 @t99) % 0.36/0.66 (assume @p68 (forall @t96 (or @t90 @t88 @t86 @t84 @t81 @t97 @t95 @t94))) % 0.36/0.66 (assume @p69 (forall @t106 (or @t90 @t88 @t86 @t84 @t105 @t104 @t102 @t101))) % 0.36/0.66 (assume @p70 (forall @t111 (or @t90 @t88 @t86 @t84 @t105 @t104 @t110 @t108))) % 0.36/0.66 (assume @p71 (forall @t106 (or @t90 @t88 @t86 @t84 @t113 @t112 @t102 @t101))) % 0.36/0.66 (assume @p72 @t115) % 0.36/0.66 (assume @p73 (forall @t118 (or @t90 @t88 @t117 @t116 @t82 @t79 @t78 @t76))) % 0.36/0.66 (assume @p74 (forall @t119 (or @t90 @t88 @t117 @t116 @t82 @t79 @t95 @t94))) % 0.36/0.66 (assume @p75 (forall @t118 (or @t90 @t88 @t117 @t116 @t81 @t97 @t78 @t76))) % 0.36/0.66 (assume @p76 (forall @t119 (or @t90 @t88 @t117 @t116 @t81 @t97 @t95 @t94))) % 0.36/0.66 (assume @p77 (forall @t120 (or @t90 @t88 @t117 @t116 @t105 @t104 @t102 @t101))) % 0.36/0.66 (assume @p78 (forall @t121 (or @t90 @t88 @t117 @t116 @t105 @t104 @t110 @t108))) % 0.36/0.66 (assume @p79 (forall @t120 (or @t90 @t88 @t117 @t116 @t113 @t112 @t102 @t101))) % 0.36/0.66 (assume @p80 (forall @t121 (or @t90 @t88 @t117 @t116 @t113 @t112 @t110 @t108))) % 0.36/0.66 (assume @p81 @t124) % 0.36/0.66 (assume @p82 (forall @t96 (or @t89 @t122 @t86 @t84 @t82 @t79 @t95 @t94))) % 0.36/0.66 (assume @p83 @t126) % 0.36/0.66 (assume @p84 (forall @t96 (or @t89 @t122 @t86 @t84 @t81 @t97 @t95 @t94))) % 0.36/0.66 (assume @p85 (forall @t106 (or @t89 @t122 @t86 @t84 @t105 @t104 @t102 @t101))) % 0.36/0.66 (assume @p86 (forall @t111 (or @t89 @t122 @t86 @t84 @t105 @t104 @t110 @t108))) % 0.36/0.66 (assume @p87 (forall @t106 (or @t89 @t122 @t86 @t84 @t113 @t112 @t102 @t101))) % 0.36/0.66 (assume @p88 @t128) % 0.36/0.66 (assume @p89 (forall @t118 (or @t89 @t122 @t117 @t116 @t82 @t79 @t78 @t76))) % 0.36/0.66 (assume @p90 (forall @t119 (or @t89 @t122 @t117 @t116 @t82 @t79 @t95 @t94))) % 0.36/0.66 (assume @p91 (forall @t118 (or @t89 @t122 @t117 @t116 @t81 @t97 @t78 @t76))) % 0.36/0.66 (assume @p92 (forall @t119 (or @t89 @t122 @t117 @t116 @t81 @t97 @t95 @t94))) % 0.36/0.66 (assume @p93 (forall @t120 (or @t89 @t122 @t117 @t116 @t105 @t104 @t102 @t101))) % 0.36/0.66 (assume @p94 (forall @t121 (or @t89 @t122 @t117 @t116 @t105 @t104 @t110 @t108))) % 0.36/0.66 (assume @p95 (forall @t120 (or @t89 @t122 @t117 @t116 @t113 @t112 @t102 @t101))) % 0.36/0.66 (assume @p96 (forall @t121 (or @t89 @t122 @t117 @t116 @t113 @t112 @t110 @t108))) % 0.36/0.66 (assume @p97 (forall @t135 (or @t134 @t133 @t131 @t130 @t82 @t79 @t78 @t76))) % 0.36/0.66 (assume @p98 (forall @t136 (or @t134 @t133 @t131 @t130 @t82 @t79 @t95 @t94))) % 0.36/0.66 (assume @p99 (forall @t135 (or @t134 @t133 @t131 @t130 @t81 @t97 @t78 @t76))) % 0.36/0.66 (assume @p100 (forall @t136 (or @t134 @t133 @t131 @t130 @t81 @t97 @t95 @t94))) % 0.36/0.66 (assume @p101 @t139) % 0.36/0.66 (assume @p102 (forall @t140 (or @t134 @t133 @t131 @t130 @t105 @t104 @t110 @t108))) % 0.36/0.66 (assume @p103 (forall @t138 (or @t134 @t133 @t131 @t130 @t113 @t112 @t102 @t101))) % 0.36/0.66 (assume @p104 (forall @t140 (or @t134 @t133 @t131 @t130 @t113 @t112 @t110 @t108))) % 0.36/0.66 (assume @p105 (forall @t145 (or @t134 @t133 @t144 @t142 @t82 @t79 @t78 @t76))) % 0.36/0.66 (assume @p106 (forall @t146 (or @t134 @t133 @t144 @t142 @t82 @t79 @t95 @t94))) % 0.36/0.66 (assume @p107 (forall @t145 (or @t134 @t133 @t144 @t142 @t81 @t97 @t78 @t76))) % 0.36/0.66 (assume @p108 (forall @t146 (or @t134 @t133 @t144 @t142 @t81 @t97 @t95 @t94))) % 0.36/0.66 (assume @p109 (forall @t147 (or @t134 @t133 @t144 @t142 @t105 @t104 @t102 @t101))) % 0.36/0.66 (assume @p110 (forall @t148 (or @t134 @t133 @t144 @t142 @t105 @t104 @t110 @t108))) % 0.36/0.66 (assume @p111 (forall @t147 (or @t134 @t133 @t144 @t142 @t113 @t112 @t102 @t101))) % 0.36/0.66 (assume @p112 (forall @t148 (or @t134 @t133 @t144 @t142 @t113 @t112 @t110 @t108))) % 0.36/0.66 (assume @p113 (forall @t135 (or @t150 @t149 @t131 @t130 @t82 @t79 @t78 @t76))) % 0.36/0.66 (assume @p114 (forall @t136 (or @t150 @t149 @t131 @t130 @t82 @t79 @t95 @t94))) % 0.36/0.66 (assume @p115 (forall @t135 (or @t150 @t149 @t131 @t130 @t81 @t97 @t78 @t76))) % 0.36/0.66 (assume @p116 (forall @t136 (or @t150 @t149 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:rule scope :premises (@p418)) % 0.36/0.66 (step @p419 :rule process_scope :premises (@p578) :args (@t274)) % 0.36/0.66 (step @p421 :rule implies_elim :premises (@p419)) % 0.36/0.66 (step @p422 :rule chain_m_resolution :premises (@p210 @p403) :args ((not @t199) @t201 @t266)) % 0.36/0.66 (step @p423 :rule chain_m_resolution :premises (@p271 @p403) :args ((not @t229) @t201 @t266)) % 0.36/0.66 (step @p424 :rule chain_m_resolution :premises (@p290 @p423 @p284 @p423 @p422 @p421 @p416 @p414 @p409 @p242 @p230 @p168 @p211 @p404 @p141 @p138 @p136) :args ((or @t157 @t166) (@list true false true true true true false false false false true false true true true true) (@list @t229 @t89 @t229 @t199 @t228 @t274 @t271 @t269 @t107 @t186 @t195 @t189 @t193 @t161 @t197 @t194))) % 0.36/0.66 (step @p425 :rule chain_m_resolution :premises (@p393 @p388 @p386 @p380 @p375 @p370 @p365 @p350 @p345 @p340 @p338 @p336 @p331 @p326 @p312 @p307 @p302 @p320) :args ((or @t186 @t246 @t244 @t259 @t164) (@list true false 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@t157) % 0.36/0.66 (step @p487 :rule instantiate :premises (@p593) :args ((@list tptp.c15))) % 0.36/0.66 (step-pop @p594 :rule scope :premises (@p487)) % 0.36/0.66 (step @p488 :rule process_scope :premises (@p594) :args (@t141)) % 0.36/0.66 (step @p490 :rule implies_elim :premises (@p488)) % 0.36/0.66 (step @p491 :rule reordering :premises (@p490) :args ((or @t141 @t290))) % 0.36/0.66 (step @p492 :rule chain_m_resolution :premises (@p491 @p426) :args (@t141 @t265 @t278)) % 0.36/0.66 (step @p493 :rule chain_m_resolution :premises (@p169 @p482) :args ((not @t166) @t201 @t293)) % 0.36/0.66 (step @p494 :rule quant-miniscope-or :args ((= (forall @t145 @t294) (or @t142 @t79 @t252 @t292 @t166 @t193 @t189)))) % 0.36/0.66 (step @p495 :rule aci_norm :args ((= @t151 @t294))) % 0.36/0.66 (step @p496 :rule cong :premises (@p495) :args (@t152)) % 0.36/0.66 (step @p497 :rule trans :premises (@p496 @p494)) % 0.36/0.66 (step @p498 :rule eq_resolve :premises (@p121 @p497)) % 0.36/0.66 (step @p499 :rule 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0.36/0.66 (step @p508 :rule quant-miniscope-or :args ((= (forall @t148 @t297) (or @t142 @t108 @t252 @t292 @t228 @t229)))) % 0.36/0.66 (step @p509 :rule aci_norm :args ((= @t155 @t297))) % 0.36/0.66 (step @p510 :rule cong :premises (@p509) :args (@t156)) % 0.36/0.66 (step @p511 :rule trans :premises (@p510 @p508)) % 0.36/0.66 (step @p512 :rule eq_resolve :premises (@p128 @p511)) % 0.36/0.66 (step @p513 :rule reordering :premises (@p512) :args ((or @t108 @t142 @t229 @t228 @t292 @t252))) % 0.36/0.66 (step @p514 :rule chain_m_resolution :premises (@p513 @p507 @p492 @p423 @p485 @p447) :args (@t228 (@list false false true true true) (@list @t107 @t141 @t229 @t292 @t252))) % 0.36/0.66 (step @p515 :rule chain_m_resolution :premises (@p247 @p506) :args (@t213 @t265 @t296)) % 0.36/0.66 (step @p516 :rule chain_m_resolution :premises (@p236 @p506) :args (@t16 @t265 @t296)) % 0.36/0.66 (step @p517 :rule chain_m_resolution :premises (@p273 @p516 @p515) :args (@t225 @t285 (@list @t16 @t213))) % 0.36/0.66 (step @p518 false :rule chain_m_resolution :premises (@p278 @p517 @p514) :args (false (@list true false) (@list @t224 @t228))) % 0.36/0.66 ) % 0.36/0.66 % SZS output end Proof % 0.36/0.67 % cvc5 exiting %------------------------------------------------------------------------------