%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO663-1 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 09:13:19 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.75s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO663-1 : TPTP v9.2.1. Released v7.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.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 % 0.17/0.35 % DateTime : Wed Jun 3 00:34:09 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.75 % SZS status Unsatisfiable % 0.37/0.75 % SZS output start Proof % 0.37/0.76 ( % 0.37/0.76 (declare-sort $$unsorted 0) % 0.37/0.76 (declare-const tptp.z $$unsorted) % 0.37/0.76 (declare-const |tptp.'LE'| (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const |tptp.'0'| $$unsorted) % 0.37/0.76 (declare-const tptp.iLEQ (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const |tptp.'E'| (-> $$unsorted $$unsorted Bool)) % 0.37/0.76 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.37/0.76 (declare-const tptp.suc (-> $$unsorted $$unsorted)) % 0.37/0.76 (define @t1 () (@var "B_38" $$unsorted)) % 0.37/0.76 (define @t2 () (tptp.suc @t1)) % 0.37/0.76 (define @t3 () (tptp.f @t2)) % 0.37/0.76 (define @t4 () (tptp.f @t1)) % 0.37/0.76 (define @t5 () (|tptp.'E'| @t4 @t3)) % 0.37/0.76 (define @t6 () (@var "A_2" $$unsorted)) % 0.37/0.76 (define @t7 () (tptp.suc @t6)) % 0.37/0.76 (define @t8 () (tptp.f @t7)) % 0.37/0.76 (define @t9 () (tptp.f @t6)) % 0.37/0.76 (define @t10 () (|tptp.'E'| @t9 @t8)) % 0.37/0.76 (define @t11 () (@var "B_37" $$unsorted)) % 0.37/0.76 (define @t12 () (tptp.suc @t11)) % 0.37/0.76 (define @t13 () (@var "B_36" $$unsorted)) % 0.37/0.76 (define @t14 () (tptp.suc @t13)) % 0.37/0.76 (define @t15 () (not (tptp.iLEQ @t14 @t12))) % 0.37/0.76 (define @t16 () (not (|tptp.'E'| |tptp.'0'| @t4))) % 0.37/0.76 (define @t17 () (tptp.f @t12)) % 0.37/0.76 (define @t18 () (tptp.f @t11)) % 0.37/0.76 (define @t19 () (|tptp.'E'| @t18 @t17)) % 0.37/0.76 (define @t20 () (not @t19)) % 0.37/0.76 (define @t21 () (not (|tptp.'E'| |tptp.'0'| @t3))) % 0.37/0.76 (define @t22 () (not (|tptp.'E'| |tptp.'0'| @t18))) % 0.37/0.76 (define @t23 () (not (|tptp.'E'| |tptp.'0'| @t17))) % 0.37/0.76 (define @t24 () (tptp.f @t14)) % 0.37/0.76 (define @t25 () (tptp.f @t13)) % 0.37/0.76 (define @t26 () (|tptp.'E'| @t25 @t24)) % 0.37/0.76 (define @t27 () (not @t26)) % 0.37/0.76 (define @t28 () (not (tptp.iLEQ @t7 @t14))) % 0.37/0.76 (define @t29 () (not (|tptp.'E'| |tptp.'0'| @t24))) % 0.37/0.76 (define @t30 () (not (tptp.iLEQ @t12 @t2))) % 0.37/0.76 (define @t31 () (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc @t12))))) % 0.37/0.76 (define @t32 () (not (|tptp.'E'| |tptp.'0'| @t9))) % 0.37/0.76 (define @t33 () (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc @t14))))) % 0.37/0.76 (define @t34 () (not (|tptp.'E'| |tptp.'0'| @t25))) % 0.37/0.76 (define @t35 () (not (|tptp.'E'| |tptp.'0'| @t8))) % 0.37/0.76 (define @t36 () (@list @t6 @t13 @t11 @t1)) % 0.37/0.76 (define @t37 () (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc @t2))))) % 0.37/0.76 (define @t38 () (not @t5)) % 0.37/0.76 (define @t39 () (@list @t6 @t13 @t1 @t11)) % 0.37/0.76 (define @t40 () (@var "B_35" $$unsorted)) % 0.37/0.76 (define @t41 () (tptp.f @t40)) % 0.37/0.76 (define @t42 () (|tptp.'LE'| @t41 |tptp.'0'|)) % 0.37/0.76 (define @t43 () (tptp.s |tptp.'0'|)) % 0.37/0.76 (define @t44 () (@list @t40)) % 0.37/0.76 (define @t45 () (forall @t44 (or (not (|tptp.'LE'| @t41 @t43)) (|tptp.'E'| |tptp.'0'| @t41) @t42))) % 0.37/0.76 (define @t46 () (@var "B_24" $$unsorted)) % 0.37/0.76 (define @t47 () (tptp.suc @t46)) % 0.37/0.76 (define @t48 () (not (|tptp.'E'| @t43 (tptp.f (tptp.suc @t47))))) % 0.37/0.76 (define @t49 () (@var "B_26" $$unsorted)) % 0.37/0.76 (define @t50 () (tptp.suc @t49)) % 0.37/0.76 (define @t51 () (tptp.f @t50)) % 0.37/0.76 (define @t52 () (not (|tptp.'E'| @t43 @t51))) % 0.37/0.76 (define @t53 () (@var "A_1" $$unsorted)) % 0.37/0.76 (define @t54 () (tptp.suc @t53)) % 0.37/0.76 (define @t55 () (tptp.f @t54)) % 0.37/0.76 (define @t56 () (tptp.f @t53)) % 0.37/0.76 (define @t57 () (|tptp.'E'| @t56 @t55)) % 0.37/0.76 (define @t58 () (not @t57)) % 0.37/0.76 (define @t59 () (@var "B_25" $$unsorted)) % 0.37/0.76 (define @t60 () (tptp.suc @t59)) % 0.37/0.76 (define @t61 () (tptp.f @t60)) % 0.37/0.76 (define @t62 () (tptp.f @t59)) % 0.37/0.76 (define @t63 () (|tptp.'E'| @t62 @t61)) % 0.37/0.76 (define @t64 () (not @t63)) % 0.37/0.76 (define @t65 () (not (|tptp.'E'| @t43 @t62))) % 0.37/0.76 (define @t66 () (not (|tptp.'E'| @t43 (tptp.f (tptp.suc @t60))))) % 0.37/0.76 (define @t67 () (not (tptp.iLEQ @t54 @t47))) % 0.37/0.76 (define @t68 () (not (|tptp.'E'| @t43 (tptp.f (tptp.suc @t50))))) % 0.37/0.76 (define @t69 () (tptp.f @t47)) % 0.37/0.76 (define @t70 () (not (|tptp.'E'| @t43 @t69))) % 0.37/0.76 (define @t71 () (not (|tptp.'E'| @t43 @t55))) % 0.37/0.76 (define @t72 () (tptp.f @t49)) % 0.37/0.76 (define @t73 () (|tptp.'E'| @t72 @t51)) % 0.37/0.76 (define @t74 () (not @t73)) % 0.37/0.76 (define @t75 () (tptp.f @t46)) % 0.37/0.76 (define @t76 () (|tptp.'E'| @t75 @t69)) % 0.37/0.76 (define @t77 () (not @t76)) % 0.37/0.76 (define @t78 () (not (tptp.iLEQ @t47 @t60))) % 0.37/0.76 (define @t79 () (not (|tptp.'E'| @t43 @t56))) % 0.37/0.76 (define @t80 () (not (|tptp.'E'| @t43 @t72))) % 0.37/0.76 (define @t81 () (not (|tptp.'E'| @t43 (tptp.f (tptp.suc @t54))))) % 0.37/0.76 (define @t82 () (not (|tptp.'E'| @t43 @t61))) % 0.37/0.76 (define @t83 () (not (|tptp.'E'| @t43 @t75))) % 0.37/0.76 (define @t84 () (not (tptp.iLEQ @t60 @t50))) % 0.37/0.76 (define @t85 () (@list @t59 @t49 @t46 @t53)) % 0.37/0.76 (define @t86 () (tptp.iLEQ @t54 @t54)) % 0.37/0.76 (define @t87 () (@list @t53)) % 0.37/0.76 (define @t88 () (@var "B_23" $$unsorted)) % 0.37/0.76 (define @t89 () (tptp.f @t88)) % 0.37/0.76 (define @t90 () (|tptp.'LE'| @t89 @t43)) % 0.37/0.76 (define @t91 () (tptp.suc @t88)) % 0.37/0.76 (define @t92 () (tptp.f (tptp.suc @t91))) % 0.37/0.76 (define @t93 () (tptp.s @t43)) % 0.37/0.76 (define @t94 () (@list @t88)) % 0.37/0.76 (define @t95 () (tptp.iLEQ @t7 @t7)) % 0.37/0.76 (define @t96 () (@list @t6)) % 0.37/0.76 (define @t97 () (@var "A" $$unsorted)) % 0.37/0.76 (define @t98 () (not @t10)) % 0.37/0.76 (define @t99 () (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc @t7))))) % 0.37/0.76 (define @t100 () (tptp.suc @t40)) % 0.37/0.76 (define @t101 () (tptp.f @t100)) % 0.37/0.76 (define @t102 () (tptp.f tptp.z)) % 0.37/0.76 (define @t103 () (|tptp.'LE'| @t102 |tptp.'0'|)) % 0.37/0.76 (define @t104 () (tptp.f (tptp.suc @t100))) % 0.37/0.76 (define @t105 () (tptp.f @t91)) % 0.37/0.76 (define @t106 () (@list tptp.z)) % 0.37/0.76 (define @t107 () (tptp.suc tptp.z)) % 0.37/0.76 (define @t108 () (@list @t107)) % 0.37/0.76 (define @t109 () (tptp.suc @t107)) % 0.37/0.76 (define @t110 () (@list @t109)) % 0.37/0.76 (define @t111 () (|tptp.'LE'| @t102 @t43)) % 0.37/0.76 (define @t112 () (|tptp.'E'| @t43 @t102)) % 0.37/0.76 (define @t113 () (|tptp.'LE'| @t102 @t93)) % 0.37/0.76 (define @t114 () (not @t113)) % 0.37/0.76 (define @t115 () (or @t114 @t112 @t111)) % 0.37/0.76 (define @t116 () (tptp.f @t107)) % 0.37/0.76 (define @t117 () (|tptp.'E'| @t43 @t116)) % 0.37/0.76 (define @t118 () (|tptp.'LE'| @t116 @t93)) % 0.37/0.76 (define @t119 () (not @t118)) % 0.37/0.76 (define @t120 () (or @t119 @t117 @t111)) % 0.37/0.76 (define @t121 () (@list tptp.z tptp.z tptp.z tptp.z)) % 0.37/0.76 (define @t122 () (tptp.f @t109)) % 0.37/0.76 (define @t123 () (|tptp.'E'| @t43 @t122)) % 0.37/0.76 (define @t124 () (not @t123)) % 0.37/0.76 (define @t125 () (not @t117)) % 0.37/0.76 (define @t126 () (|tptp.'E'| @t102 @t116)) % 0.37/0.76 (define @t127 () (not @t126)) % 0.37/0.76 (define @t128 () (not @t112)) % 0.37/0.76 (define @t129 () (tptp.iLEQ @t107 @t107)) % 0.37/0.76 (define @t130 () (not @t129)) % 0.37/0.76 (define @t131 () (or @t130 @t128 @t125 @t124 @t128 @t128 @t130 @t127 @t127 @t125 @t125 @t124 @t130 @t124 @t128 @t127 @t127 @t125 @t124)) % 0.37/0.76 (define @t132 () (or @t124 @t125 @t127 @t128 @t129)) % 0.37/0.76 (define @t133 () (or @t128 @t125 @t126 @t129)) % 0.37/0.76 (define @t134 () (or @t130 @t128 @t125 @t128 @t128 @t130 @t125 @t125 @t130 @t128 @t125 @t126 @t126 @t126 @t126)) % 0.37/0.76 (define @t135 () (|tptp.'E'| |tptp.'0'| @t102)) % 0.37/0.76 (define @t136 () (not @t111)) % 0.37/0.76 (define @t137 () (or @t136 @t135 @t103)) % 0.37/0.76 (define @t138 () (tptp.suc @t109)) % 0.37/0.76 (define @t139 () (|tptp.'LE'| @t116 @t43)) % 0.37/0.76 (define @t140 () (tptp.f @t138)) % 0.37/0.76 (define @t141 () (|tptp.'E'| @t43 @t140)) % 0.37/0.76 (define @t142 () (|tptp.'LE'| @t140 @t93)) % 0.37/0.76 (define @t143 () (not @t142)) % 0.37/0.76 (define @t144 () (or @t143 @t141 @t139)) % 0.37/0.76 (define @t145 () (|tptp.'LE'| @t122 @t43)) % 0.37/0.76 (define @t146 () (or @t143 @t141 @t145)) % 0.37/0.76 (define @t147 () (|tptp.'E'| |tptp.'0'| @t116)) % 0.37/0.76 (define @t148 () (not @t139)) % 0.37/0.76 (define @t149 () (or @t148 @t147 @t103)) % 0.37/0.76 (define @t150 () (|tptp.'E'| |tptp.'0'| @t122)) % 0.37/0.76 (define @t151 () (not @t145)) % 0.37/0.76 (define @t152 () (or @t151 @t150 @t103)) % 0.37/0.76 (define @t153 () (not @t147)) % 0.37/0.76 (define @t154 () (not @t135)) % 0.37/0.76 (define @t155 () (or @t154 @t153 @t126 @t129)) % 0.37/0.76 (define @t156 () (or @t153 @t154 @t154 @t130 @t153 @t130 @t153 @t154 @t153 @t154 @t130 @t126 @t126 @t126 @t126)) % 0.37/0.76 (define @t157 () (@list false false false)) % 0.37/0.76 (define @t158 () (not @t150)) % 0.37/0.76 (define @t159 () (or @t153 @t158 @t154 @t158 @t154 @t127 @t158 @t130 @t153 @t130 @t127 @t153 @t154 @t158 @t153 @t127 @t154 @t127 @t130)) % 0.37/0.76 (define @t160 () (or @t158 @t153 @t127 @t154 @t129)) % 0.37/0.76 (define @t161 () (tptp.iLEQ @t138 @t138)) % 0.37/0.76 (define @t162 () (|tptp.'E'| @t122 @t140)) % 0.37/0.76 (define @t163 () (not @t141)) % 0.37/0.76 (define @t164 () (or @t124 @t163 @t162 @t161)) % 0.37/0.76 (define @t165 () (not @t162)) % 0.37/0.76 (define @t166 () (tptp.suc @t138)) % 0.37/0.76 (define @t167 () (tptp.f @t166)) % 0.37/0.76 (define @t168 () (|tptp.'E'| @t43 @t167)) % 0.37/0.76 (define @t169 () (not @t168)) % 0.37/0.76 (define @t170 () (or @t169 @t163 @t165 @t124 @t161)) % 0.37/0.76 (define @t171 () (@list @t109 @t109 @t109 @t109)) % 0.37/0.76 (define @t172 () (not @t161)) % 0.37/0.76 (define @t173 () (or @t172 @t124 @t163 @t124 @t124 @t172 @t163 @t163 @t172 @t124 @t163 @t162 @t162 @t162 @t162)) % 0.37/0.76 (define @t174 () (or @t172 @t124 @t163 @t169 @t124 @t124 @t172 @t165 @t165 @t163 @t163 @t169 @t172 @t169 @t124 @t165 @t165 @t163 @t169)) % 0.37/0.76 (define @t175 () (|tptp.'LE'| @t167 @t93)) % 0.37/0.76 (define @t176 () (not @t175)) % 0.37/0.76 (define @t177 () (or @t176 @t168 @t145)) % 0.37/0.76 (define @t178 () (or @t119 @t117 @t139)) % 0.37/0.76 (define @t179 () (@list @t107 @t107 @t107 @t107)) % 0.37/0.76 (define @t180 () (|tptp.'E'| @t116 @t122)) % 0.37/0.76 (define @t181 () (tptp.iLEQ @t109 @t109)) % 0.37/0.76 (define @t182 () (not @t181)) % 0.37/0.76 (define @t183 () (or @t182 @t125 @t124 @t125 @t125 @t182 @t124 @t124 @t182 @t125 @t124 @t180 @t180 @t180 @t180)) % 0.37/0.76 (define @t184 () (not @t180)) % 0.37/0.76 (define @t185 () (or @t182 @t125 @t124 @t163 @t125 @t125 @t182 @t184 @t184 @t124 @t124 @t163 @t182 @t163 @t125 @t184 @t184 @t124 @t163)) % 0.37/0.76 (define @t186 () (|tptp.'LE'| @t122 @t93)) % 0.37/0.76 (define @t187 () (not @t186)) % 0.37/0.76 (define @t188 () (or @t187 @t123 @t139)) % 0.37/0.76 (define @t189 () (or @t125 @t124 @t180 @t181)) % 0.37/0.76 (define @t190 () (or @t163 @t124 @t184 @t125 @t181)) % 0.37/0.76 (define @t191 () (@list true false false)) % 0.37/0.76 (define @t192 () (or @t187 @t123 @t111)) % 0.37/0.76 (define @t193 () (or @t187 @t123 @t145)) % 0.37/0.76 (assume @p1 (forall @t36 (or @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t23 @t22 @t21 @t20 @t16 @t15 @t10 @t5))) % 0.37/0.76 (assume @p2 (forall @t39 (or @t35 @t34 @t32 @t38 @t30 @t29 @t28 @t23 @t22 @t37 @t21 @t16 @t15 @t10 @t26 @t19))) % 0.37/0.76 (assume @p3 @t45) % 0.37/0.76 (assume @p4 (forall @t85 (or @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t74 @t71 @t70 @t68 @t67 @t66 @t65 @t64 @t58 @t52 @t48))) % 0.37/0.76 (assume @p5 (forall @t85 (or @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t74 @t71 @t70 @t68 @t67 @t66 @t65 @t64 @t58 @t52 @t76))) % 0.37/0.76 (assume @p6 (forall @t87 (or @t81 @t71 @t58 @t79 @t86))) % 0.37/0.76 (assume @p7 (forall @t94 (or (not (|tptp.'LE'| @t92 @t93)) (|tptp.'E'| @t43 @t92) @t90))) % 0.37/0.76 (assume @p8 (forall @t96 (or @t32 @t35 @t10 @t95))) % 0.37/0.76 (assume @p9 (forall @t39 (or @t35 @t34 @t32 @t38 @t31 @t30 @t29 @t28 @t23 @t22 @t37 @t21 @t20 @t16 @t15 @t10 @t26))) % 0.37/0.76 (assume @p10 (forall @t39 (or @t35 @t34 @t33 @t32 @t38 @t30 @t29 @t28 @t27 @t23 @t22 @t37 @t21 @t16 @t15 @t10 @t19))) % 0.37/0.76 (assume @p11 (forall (@list @t97) (|tptp.'LE'| (tptp.f @t97) @t93))) % 0.37/0.76 (assume @p12 (forall @t36 (or @t35 @t34 @t32 @t31 @t30 @t29 @t28 @t23 @t22 @t21 @t20 @t16 @t15 @t10 @t26 @t5))) % 0.37/0.76 (assume @p13 (forall @t36 (or @t35 @t99 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t23 @t22 @t21 @t20 @t16 @t98 @t15 @t5))) % 0.37/0.76 (assume @p14 (forall @t85 (or @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t71 @t70 @t67 @t66 @t65 @t64 @t58 @t52 @t48 @t73))) % 0.37/0.76 (assume @p15 (forall @t44 (or (not (|tptp.'LE'| @t101 @t43)) (|tptp.'E'| |tptp.'0'| @t101) @t42))) % 0.37/0.76 (assume @p16 (forall @t39 (or @t35 @t99 @t34 @t32 @t38 @t30 @t29 @t28 @t23 @t22 @t37 @t21 @t16 @t98 @t15 @t26 @t19))) % 0.37/0.76 (assume @p17 (forall @t39 (or @t35 @t34 @t33 @t32 @t38 @t31 @t30 @t29 @t28 @t27 @t23 @t22 @t37 @t21 @t20 @t16 @t15 @t10))) % 0.37/0.76 (assume @p18 (forall @t85 (or @t84 @t83 @t82 @t80 @t79 @t78 @t77 @t74 @t71 @t70 @t68 @t67 @t65 @t52 @t48 @t57 @t63))) % 0.37/0.76 (assume @p19 (forall @t36 (or @t35 @t34 @t32 @t30 @t29 @t28 @t23 @t22 @t21 @t16 @t15 @t10 @t26 @t19 @t5))) % 0.37/0.76 (assume @p20 (forall @t85 (or @t84 @t83 @t82 @t80 @t79 @t78 @t77 @t71 @t70 @t67 @t65 @t52 @t48 @t57 @t63 @t73))) % 0.37/0.76 (assume @p21 (forall @t36 (or @t35 @t99 @t34 @t32 @t30 @t29 @t28 @t23 @t22 @t21 @t16 @t98 @t15 @t26 @t19 @t5))) % 0.37/0.76 (assume @p22 (forall @t85 (or @t84 @t83 @t82 @t80 @t79 @t78 @t74 @t71 @t70 @t68 @t67 @t65 @t52 @t57 @t76 @t63))) % 0.37/0.76 (assume @p23 (forall @t36 (or @t35 @t99 @t34 @t33 @t32 @t30 @t29 @t28 @t27 @t23 @t22 @t21 @t16 @t98 @t15 @t19 @t5))) % 0.37/0.76 (assume @p24 (forall @t39 (or @t35 @t99 @t34 @t32 @t38 @t31 @t30 @t29 @t28 @t23 @t22 @t37 @t21 @t20 @t16 @t98 @t15 @t26))) % 0.37/0.76 (assume @p25 (forall @t85 (or @t84 @t83 @t82 @t80 @t79 @t78 @t71 @t70 @t67 @t65 @t52 @t57 @t76 @t63 @t73))) % 0.37/0.76 (assume @p26 (not @t103)) % 0.37/0.76 (assume @p27 (forall @t44 (or (not (|tptp.'LE'| @t104 @t43)) (|tptp.'E'| |tptp.'0'| @t104) @t42))) % 0.37/0.76 (assume @p28 (forall @t36 (or @t35 @t99 @t34 @t32 @t31 @t30 @t29 @t28 @t23 @t22 @t21 @t20 @t16 @t98 @t15 @t26 @t5))) % 0.37/0.76 (assume @p29 (forall @t85 (or @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t71 @t70 @t67 @t65 @t58 @t52 @t76 @t63 @t73))) % 0.37/0.76 (assume @p30 (forall @t94 (or (not (|tptp.'LE'| @t89 @t93)) (|tptp.'E'| @t43 @t89) @t90))) % 0.37/0.76 (assume @p31 (forall @t39 (or @t35 @t99 @t34 @t33 @t32 @t38 @t31 @t30 @t29 @t28 @t27 @t23 @t22 @t37 @t21 @t20 @t16 @t98 @t15))) % 0.37/0.76 (assume @p32 (forall @t85 (or @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t74 @t71 @t70 @t68 @t67 @t65 @t58 @t52 @t76 @t63))) % 0.37/0.76 (assume @p33 (forall @t87 (or @t79 @t71 @t57 @t86))) % 0.37/0.76 (assume @p34 (forall @t96 (or @t99 @t35 @t98 @t32 @t95))) % 0.37/0.76 (assume @p35 (forall @t39 (or @t35 @t99 @t34 @t33 @t32 @t38 @t30 @t29 @t28 @t27 @t23 @t22 @t37 @t21 @t16 @t98 @t15 @t19))) % 0.37/0.76 (assume @p36 (forall @t85 (or @t84 @t83 @t82 @t80 @t79 @t78 @t71 @t70 @t67 @t66 @t65 @t64 @t52 @t57 @t76 @t73))) % 0.37/0.76 (assume @p37 (forall @t85 (or @t84 @t83 @t82 @t80 @t79 @t78 @t74 @t71 @t70 @t68 @t67 @t66 @t65 @t64 @t52 @t57 @t76))) % 0.37/0.76 (assume @p38 (forall @t85 (or @t84 @t83 @t82 @t80 @t79 @t78 @t77 @t74 @t71 @t70 @t68 @t67 @t66 @t65 @t64 @t52 @t48 @t57))) % 0.37/0.76 (assume @p39 (forall @t85 (or @t84 @t83 @t82 @t80 @t79 @t78 @t77 @t71 @t70 @t67 @t66 @t65 @t64 @t52 @t48 @t57 @t73))) % 0.37/0.76 (assume @p40 (forall @t85 (or @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t71 @t70 @t67 @t65 @t58 @t52 @t48 @t63 @t73))) % 0.37/0.76 (assume @p41 (forall @t85 (or @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t74 @t71 @t70 @t68 @t67 @t65 @t58 @t52 @t48 @t63))) % 0.37/0.76 (assume @p42 (forall @t94 (or (not (|tptp.'LE'| @t105 @t93)) (|tptp.'E'| @t43 @t105) @t90))) % 0.37/0.76 (assume @p43 (forall @t85 (or @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t71 @t70 @t67 @t66 @t65 @t64 @t58 @t52 @t76 @t73))) % 0.37/0.76 (assume @p44 (forall @t36 (or @t35 @t34 @t33 @t32 @t30 @t29 @t28 @t27 @t23 @t22 @t21 @t16 @t15 @t10 @t19 @t5))) % 0.37/0.76 (step @p45 :rule instantiate :premises (@p15) :args (@t106)) % 0.37/0.76 (step @p46 :rule instantiate :premises (@p42) :args (@t108)) % 0.37/0.76 (step @p47 :rule instantiate :premises (@p11) :args (@t110)) % 0.37/0.76 (step @p48 :rule instantiate :premises (@p30) :args (@t106)) % 0.37/0.76 (step @p49 :rule instantiate :premises (@p11) :args (@t106)) % 0.37/0.76 (step @p50 :rule cnf_or_pos :args (@t115)) % 0.37/0.76 (step @p51 :rule reordering :premises (@p50) :args ((or @t111 @t114 @t112 (not @t115)))) % 0.37/0.76 (step @p52 :rule instantiate :premises (@p11) :args (@t108)) % 0.37/0.76 (step @p53 :rule instantiate :premises (@p42) :args (@t106)) % 0.37/0.76 (step @p54 :rule cnf_or_pos :args (@t120)) % 0.37/0.76 (step @p55 :rule reordering :premises (@p54) :args ((or @t111 @t117 @t119 (not @t120)))) % 0.37/0.76 (step @p56 :rule instantiate :premises (@p4) :args (@t121)) % 0.37/0.76 (step @p57 :rule cnf_or_pos :args (@t131)) % 0.37/0.76 (step @p58 :rule factoring :premises (@p57)) % 0.37/0.76 (step @p59 :rule reordering :premises (@p58) :args ((or @t128 @t124 @t125 @t127 @t130 (not @t131)))) % 0.37/0.76 (step @p60 :rule instantiate :premises (@p6) :args (@t106)) % 0.37/0.76 (step @p61 :rule cnf_or_pos :args (@t132)) % 0.37/0.76 (step @p62 :rule reordering :premises (@p61) :args ((or @t128 @t124 @t125 @t127 @t129 (not @t132)))) % 0.37/0.76 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p59 @p56) :args ((or @t128 @t124 @t125 @t127) (@list false true false) (@list @t132 @t129 @t131))) % 0.37/0.76 (step @p64 :rule instantiate :premises (@p33) :args (@t106)) % 0.37/0.76 (step @p65 :rule cnf_or_pos :args (@t133)) % 0.37/0.76 (step @p66 :rule reordering :premises (@p65) :args ((or @t128 @t125 @t126 @t129 (not @t133)))) % 0.37/0.76 (step @p67 :rule instantiate :premises (@p25) :args (@t121)) % 0.37/0.76 (step @p68 :rule cnf_or_pos :args (@t134)) % 0.37/0.76 (step @p69 :rule factoring :premises (@p68)) % 0.37/0.76 (step @p70 :rule reordering :premises (@p69) :args ((or @t128 @t125 @t126 @t130 (not @t134)))) % 0.37/0.76 (step @p71 :rule chain_m_resolution :premises (@p70 @p67 @p66 @p64 @p63 @p55 @p53 @p52 @p51 @p49 @p48) :args ((or @t111 @t124) (@list false false false true false false false false false false) (@list @t134 @t129 @t133 @t126 @t117 @t120 @t118 @t112 @t113 @t115))) % 0.37/0.76 (step @p72 :rule instantiate :premises (@p3) :args (@t106)) % 0.37/0.76 (step @p73 :rule cnf_or_pos :args (@t137)) % 0.37/0.76 (step @p74 :rule reordering :premises (@p73) :args ((or @t103 @t136 @t135 (not @t137)))) % 0.37/0.76 (step @p75 :rule instantiate :premises (@p11) :args ((@list @t138))) % 0.37/0.76 (step @p76 :rule instantiate :premises (@p7) :args (@t108)) % 0.37/0.76 (step @p77 :rule cnf_or_pos :args (@t144)) % 0.37/0.76 (step @p78 :rule reordering :premises (@p77) :args ((or @t139 @t143 @t141 (not @t144)))) % 0.37/0.76 (step @p79 :rule instantiate :premises (@p42) :args (@t110)) % 0.37/0.76 (step @p80 :rule cnf_or_pos :args (@t146)) % 0.37/0.76 (step @p81 :rule reordering :premises (@p80) :args ((or @t145 @t143 @t141 (not @t146)))) % 0.37/0.76 (step @p82 :rule cnf_or_pos :args (@t149)) % 0.37/0.76 (step @p83 :rule reordering :premises (@p82) :args ((or @t103 @t148 @t147 (not @t149)))) % 0.37/0.76 (step @p84 :rule instantiate :premises (@p27) :args (@t106)) % 0.37/0.76 (step @p85 :rule cnf_or_pos :args (@t152)) % 0.37/0.76 (step @p86 :rule reordering :premises (@p85) :args ((or @t103 @t151 @t150 (not @t152)))) % 0.37/0.76 (step @p87 :rule instantiate :premises (@p8) :args (@t106)) % 0.37/0.76 (step @p88 :rule cnf_or_pos :args (@t155)) % 0.37/0.76 (step @p89 :rule reordering :premises (@p88) :args ((or @t154 @t153 @t126 @t129 (not @t155)))) % 0.37/0.76 (step @p90 :rule instantiate :premises (@p19) :args (@t121)) % 0.37/0.76 (step @p91 :rule cnf_or_pos :args (@t156)) % 0.37/0.76 (step @p92 :rule factoring :premises (@p91)) % 0.37/0.76 (step @p93 :rule reordering :premises (@p92) :args ((or @t154 @t153 @t126 @t130 (not @t156)))) % 0.37/0.76 (step @p94 :rule chain_m_resolution :premises (@p93 @p90 @p89 @p87) :args ((or @t154 @t153 @t126) @t157 (@list @t156 @t129 @t155))) % 0.37/0.76 (step @p95 :rule instantiate :premises (@p31) :args (@t121)) % 0.37/0.76 (step @p96 :rule cnf_or_pos :args (@t159)) % 0.37/0.76 (step @p97 :rule factoring :premises (@p96)) % 0.37/0.76 (step @p98 :rule reordering :premises (@p97) :args ((or @t154 @t153 @t158 @t127 @t130 (not @t159)))) % 0.37/0.76 (step @p99 :rule instantiate :premises (@p34) :args (@t106)) % 0.37/0.76 (step @p100 :rule cnf_or_pos :args (@t160)) % 0.37/0.76 (step @p101 :rule reordering :premises (@p100) :args ((or @t154 @t153 @t158 @t127 @t129 (not @t160)))) % 0.37/0.76 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p98 @p95 @p94 @p86 @p84 @p26 @p83 @p45 @p26 @p81 @p79 @p75 @p78 @p76 @p75) :args ((or @t154 @t141) (@list false true false false false false true false false true false false false false false false) (@list @t160 @t129 @t159 @t126 @t150 @t152 @t103 @t147 @t149 @t103 @t145 @t146 @t142 @t139 @t144 @t142))) % 0.37/0.76 (step @p103 :rule instantiate :premises (@p33) :args (@t110)) % 0.37/0.76 (step @p104 :rule cnf_or_pos :args (@t164)) % 0.37/0.76 (step @p105 :rule reordering :premises (@p104) :args ((or @t124 @t163 @t162 @t161 (not @t164)))) % 0.37/0.76 (step @p106 :rule instantiate :premises (@p6) :args (@t110)) % 0.37/0.76 (step @p107 :rule cnf_or_pos :args (@t170)) % 0.37/0.76 (step @p108 :rule reordering :premises (@p107) :args ((or @t124 @t163 @t169 @t165 @t161 (not @t170)))) % 0.37/0.76 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p105 @p103) :args ((or @t124 @t163 @t169 @t161) @t157 (@list @t170 @t162 @t164))) % 0.37/0.76 (step @p110 :rule instantiate :premises (@p25) :args (@t171)) % 0.37/0.76 (step @p111 :rule cnf_or_pos :args (@t173)) % 0.37/0.76 (step @p112 :rule factoring :premises (@p111)) % 0.37/0.76 (step @p113 :rule reordering :premises (@p112) :args ((or @t124 @t163 @t162 @t172 (not @t173)))) % 0.37/0.76 (step @p114 :rule instantiate :premises (@p4) :args (@t171)) % 0.37/0.76 (step @p115 :rule cnf_or_pos :args (@t174)) % 0.37/0.76 (step @p116 :rule factoring :premises (@p115)) % 0.37/0.76 (step @p117 :rule reordering :premises (@p116) :args ((or @t124 @t163 @t169 @t165 @t172 (not @t174)))) % 0.37/0.76 (step @p118 :rule chain_m_resolution :premises (@p117 @p114 @p113 @p110 @p109) :args ((or @t124 @t163 @t169) (@list false false false false) (@list @t174 @t162 @t173 @t161))) % 0.37/0.76 (step @p119 :rule instantiate :premises (@p11) :args ((@list @t166))) % 0.37/0.76 (step @p120 :rule instantiate :premises (@p7) :args (@t110)) % 0.37/0.76 (step @p121 :rule cnf_or_pos :args (@t177)) % 0.37/0.76 (step @p122 :rule reordering :premises (@p121) :args ((or @t145 @t176 @t168 (not @t177)))) % 0.37/0.76 (assume-push @p165 @t45) % 0.37/0.76 (step-pop @p166 :rule scope :premises (@p72)) % 0.37/0.76 (step @p124 :rule process_scope :premises (@p166) :args (@t137)) % 0.37/0.76 (step @p126 :rule implies_elim :premises (@p124)) % 0.37/0.76 (step @p127 :rule instantiate :premises (@p30) :args (@t108)) % 0.37/0.76 (step @p128 :rule cnf_or_pos :args (@t178)) % 0.37/0.76 (step @p129 :rule reordering :premises (@p128) :args ((or @t139 @t117 @t119 (not @t178)))) % 0.37/0.76 (step @p130 :rule instantiate :premises (@p25) :args (@t179)) % 0.37/0.76 (step @p131 :rule cnf_or_pos :args (@t183)) % 0.37/0.76 (step @p132 :rule factoring :premises (@p131)) % 0.37/0.76 (step @p133 :rule reordering :premises (@p132) :args ((or @t124 @t125 @t182 @t180 (not @t183)))) % 0.37/0.76 (step @p134 :rule instantiate :premises (@p4) :args (@t179)) % 0.37/0.76 (step @p135 :rule cnf_or_pos :args (@t185)) % 0.37/0.76 (step @p136 :rule factoring :premises (@p135)) % 0.37/0.76 (step @p137 :rule reordering :premises (@p136) :args ((or @t124 @t125 @t182 @t163 @t184 (not @t185)))) % 0.37/0.76 (step @p138 :rule chain_m_resolution :premises (@p137 @p134 @p133 @p130 @p102 @p74 @p26 @p126 @p3 @p71) :args ((or @t124 @t125 @t182) (@list false false false false false true false false false) (@list @t185 @t180 @t183 @t141 @t135 @t103 @t137 @t45 @t111))) % 0.37/0.76 (step @p139 :rule cnf_or_pos :args (@t188)) % 0.37/0.76 (step @p140 :rule reordering :premises (@p139) :args ((or @t139 @t123 @t187 (not @t188)))) % 0.37/0.76 (step @p141 :rule instantiate :premises (@p33) :args (@t108)) % 0.37/0.76 (step @p142 :rule cnf_or_pos :args (@t189)) % 0.37/0.76 (step @p143 :rule reordering :premises (@p142) :args ((or @t124 @t125 @t181 @t180 (not @t189)))) % 0.37/0.76 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p140 @p46 @p47 @p129 @p127 @p52) :args ((or @t139 @t181 @t180) (@list false false false false false false false) (@list @t189 @t123 @t188 @t186 @t117 @t178 @t118))) % 0.37/0.76 (step @p145 :rule instantiate :premises (@p6) :args (@t108)) % 0.37/0.76 (step @p146 :rule cnf_or_pos :args (@t190)) % 0.37/0.76 (step @p147 :rule reordering :premises (@p146) :args ((or @t124 @t125 @t181 @t163 @t184 (not @t190)))) % 0.37/0.76 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p144 @p138 @p129 @p127 @p52 @p102 @p74 @p26 @p126 @p3 @p71) :args ((or @t139 @t124) (@list false false true false false false false false true false false false) (@list @t190 @t180 @t181 @t117 @t178 @t118 @t141 @t135 @t103 @t137 @t45 @t111))) % 0.37/0.76 (step @p149 :rule chain_m_resolution :premises (@p98 @p95 @p101 @p99 @p94 @p83 @p45 @p26 @p148 @p86 @p84 @p26 @p122 @p120 @p119 @p118 @p102 @p74 @p72 @p26 @p71) :args (@t124 (@list false false false false false false true false false false true false false false true false false false true false) (@list @t159 @t129 @t160 @t126 @t147 @t149 @t103 @t139 @t150 @t152 @t103 @t145 @t177 @t175 @t168 @t141 @t135 @t137 @t103 @t111))) % 0.37/0.76 (step @p150 :rule chain_m_resolution :premises (@p140 @p149 @p47 @p46) :args (@t139 @t191 (@list @t123 @t186 @t188))) % 0.37/0.76 (step @p151 :rule chain_m_resolution :premises (@p83 @p26 @p150 @p45) :args (@t147 @t191 (@list @t103 @t139 @t149))) % 0.37/0.76 (step @p152 :rule instantiate :premises (@p7) :args (@t106)) % 0.37/0.76 (step @p153 :rule cnf_or_pos :args (@t192)) % 0.37/0.76 (step @p154 :rule reordering :premises (@p153) :args ((or @t111 @t123 @t187 (not @t192)))) % 0.37/0.76 (step @p155 :rule chain_m_resolution :premises (@p154 @p149 @p47 @p152) :args (@t111 @t191 (@list @t123 @t186 @t192))) % 0.37/0.76 (step @p156 :rule chain_m_resolution :premises (@p74 @p26 @p155 @p72) :args (@t135 @t191 (@list @t103 @t111 @t137))) % 0.37/0.76 (step @p157 :rule chain_m_resolution :premises (@p94 @p156 @p151) :args (@t126 (@list false false) (@list @t135 @t147))) % 0.37/0.76 (step @p158 :rule instantiate :premises (@p30) :args (@t110)) % 0.37/0.76 (step @p159 :rule cnf_or_pos :args (@t193)) % 0.37/0.76 (step @p160 :rule reordering :premises (@p159) :args ((or @t145 @t123 @t187 (not @t193)))) % 0.37/0.76 (step @p161 :rule chain_m_resolution :premises (@p160 @p149 @p47 @p158) :args (@t145 @t191 (@list @t123 @t186 @t193))) % 0.37/0.76 (step @p162 :rule chain_m_resolution :premises (@p86 @p26 @p161 @p84) :args (@t150 @t191 (@list @t103 @t145 @t152))) % 0.37/0.76 (step @p163 :rule chain_m_resolution :premises (@p101 @p156 @p151 @p162 @p157 @p99) :args (@t129 (@list false false false false false) (@list @t135 @t147 @t150 @t126 @t160))) % 0.37/0.76 (step @p164 false :rule chain_m_resolution :premises (@p98 @p163 @p151 @p95 @p156 @p162 @p157) :args (false (@list false false false false false false) (@list @t129 @t147 @t159 @t135 @t150 @t126))) % 0.37/0.76 ) % 0.37/0.76 % SZS output end Proof % 0.37/0.76 % cvc5 exiting %------------------------------------------------------------------------------