%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS102+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:28:55 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.64s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS102+1 : TPTP v9.2.1. Released v3.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n001.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 05:28:20 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.64 % SZS status Unsatisfiable % 0.37/0.64 % SZS output start Proof % 0.37/0.67 ( % 0.37/0.67 (declare-sort $$unsorted 0) % 0.37/0.67 (declare-const tptp.iminus9 $$unsorted) % 0.37/0.67 (declare-const tptp.iplus8 $$unsorted) % 0.37/0.67 (declare-const tptp.iT $$unsorted) % 0.37/0.67 (declare-const tptp.iplus9 $$unsorted) % 0.37/0.67 (declare-const tptp.iplus3 $$unsorted) % 0.37/0.67 (declare-const tptp.cTorF (-> $$unsorted Bool)) % 0.37/0.67 (declare-const tptp.iminus2 $$unsorted) % 0.37/0.67 (declare-const tptp.iminus6 $$unsorted) % 0.37/0.67 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.37/0.67 (declare-const tptp.iplus4 $$unsorted) % 0.37/0.67 (declare-const tptp.iminus8 $$unsorted) % 0.37/0.67 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.37/0.67 (declare-const tptp.iplus7 $$unsorted) % 0.37/0.67 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.37/0.67 (declare-const tptp.iF $$unsorted) % 0.37/0.67 (declare-const tptp.iplus2 $$unsorted) % 0.37/0.67 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.37/0.67 (declare-const tptp.iminus3 $$unsorted) % 0.37/0.67 (declare-const tptp.iminus4 $$unsorted) % 0.37/0.67 (declare-const tptp.iminus5 $$unsorted) % 0.37/0.67 (declare-const tptp.iminus1 $$unsorted) % 0.37/0.67 (declare-const tptp.iplus6 $$unsorted) % 0.37/0.67 (declare-const tptp.iplus5 $$unsorted) % 0.37/0.67 (declare-const tptp.iplus1 $$unsorted) % 0.37/0.67 (declare-const tptp.iminus7 $$unsorted) % 0.37/0.67 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.67 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.67 (define @t3 () (= @t2 @t1)) % 0.37/0.67 (define @t4 () (@list @t2 @t1)) % 0.37/0.67 (define @t5 () (@var "X" $$unsorted)) % 0.37/0.67 (define @t6 () (@list @t5)) % 0.37/0.67 (define @t7 () (tptp.cTorF @t5)) % 0.37/0.67 (define @t8 () (forall @t6 (= @t7 (or (= @t5 tptp.iplus1) (= @t5 tptp.iminus1))))) % 0.37/0.67 (define @t9 () (forall @t6 (= @t7 (or (= @t5 tptp.iminus4) (= @t5 tptp.iplus4))))) % 0.37/0.67 (define @t10 () (forall @t6 (= @t7 (or (= @t5 tptp.iplus2) (= @t5 tptp.iminus2))))) % 0.37/0.67 (define @t11 () (forall @t6 (= @t7 (or (= @t5 tptp.iplus7) (= @t5 tptp.iminus7))))) % 0.37/0.67 (define @t12 () (forall @t6 (= @t7 (or (= @t5 tptp.iplus5) (= @t5 tptp.iminus5))))) % 0.37/0.67 (define @t13 () (forall @t6 (= @t7 (or (= @t5 tptp.iplus3) (= @t5 tptp.iminus3))))) % 0.37/0.67 (define @t14 () (forall @t6 (= @t7 (or (= @t5 tptp.iT) (= @t5 tptp.iF))))) % 0.37/0.67 (define @t15 () (= tptp.iT tptp.iplus1)) % 0.37/0.67 (define @t16 () (= tptp.iT tptp.iplus2)) % 0.37/0.67 (define @t17 () (= tptp.iT tptp.iminus6)) % 0.37/0.67 (define @t18 () (or @t17 @t16 @t15)) % 0.37/0.67 (define @t19 () (= tptp.iT tptp.iminus7)) % 0.37/0.67 (define @t20 () (= tptp.iT tptp.iplus9)) % 0.37/0.67 (define @t21 () (or @t17 @t20 @t19)) % 0.37/0.67 (define @t22 () (= tptp.iT tptp.iplus7)) % 0.37/0.67 (define @t23 () (= tptp.iT tptp.iminus3)) % 0.37/0.67 (define @t24 () (= tptp.iT tptp.iplus8)) % 0.37/0.67 (define @t25 () (or @t24 @t23 @t22)) % 0.37/0.67 (define @t26 () (= tptp.iT tptp.iplus5)) % 0.37/0.67 (define @t27 () (= tptp.iT tptp.iplus4)) % 0.37/0.67 (define @t28 () (= tptp.iT tptp.iminus9)) % 0.37/0.67 (define @t29 () (= tptp.iT tptp.iplus3)) % 0.37/0.67 (define @t30 () (or @t29 @t28 @t27)) % 0.37/0.67 (define @t31 () (= tptp.iT tptp.iminus4)) % 0.37/0.67 (define @t32 () (= tptp.iT tptp.iminus8)) % 0.37/0.67 (define @t33 () (or @t32 @t31 @t20)) % 0.37/0.67 (define @t34 () (= tptp.iT tptp.iplus6)) % 0.37/0.67 (define @t35 () (or @t29 @t34 @t27)) % 0.37/0.67 (define @t36 () (= tptp.iT tptp.iminus2)) % 0.37/0.67 (define @t37 () (or @t32 @t34 @t27)) % 0.37/0.67 (define @t38 () (or @t29 @t28 @t36)) % 0.37/0.67 (define @t39 () (or @t34 @t36 @t19)) % 0.37/0.67 (define @t40 () (or @t24 @t16 @t31)) % 0.37/0.67 (define @t41 () (= tptp.iT tptp.iminus5)) % 0.37/0.67 (define @t42 () (or @t31 @t23 @t19)) % 0.37/0.67 (define @t43 () (= tptp.iT tptp.iminus1)) % 0.37/0.67 (define @t44 () (or @t16 @t27 @t43)) % 0.37/0.67 (define @t45 () (or @t32 @t28 @t31)) % 0.37/0.67 (define @t46 () (or @t24 @t16 @t23)) % 0.37/0.67 (define @t47 () (or @t24 @t29 @t19)) % 0.37/0.67 (define @t48 () (or @t41 @t32 @t23)) % 0.37/0.67 (define @t49 () (or @t29 @t20 @t27)) % 0.37/0.67 (define @t50 () (or @t28 @t36 @t22)) % 0.37/0.67 (define @t51 () (or @t26 @t32 @t23)) % 0.37/0.67 (define @t52 () (or @t34 @t36 @t20)) % 0.37/0.67 (define @t53 () (or @t16 @t15 @t31)) % 0.37/0.67 (define @t54 () (or @t17 @t36 @t27)) % 0.37/0.67 (define @t55 () (or @t31 @t22 @t20)) % 0.37/0.67 (define @t56 () (= tptp.iT tptp.iF)) % 0.37/0.67 (define @t57 () (not @t56)) % 0.37/0.67 (define @t58 () (= tptp.iminus2 tptp.iF)) % 0.37/0.67 (define @t59 () (not @t58)) % 0.37/0.67 (define @t60 () (= tptp.iminus2 tptp.iT)) % 0.37/0.67 (define @t61 () (not @t60)) % 0.37/0.67 (define @t62 () (not @t57)) % 0.37/0.67 (define @t63 () (and @t57 @t60)) % 0.37/0.67 (define @t64 () (or (= tptp.iF tptp.iplus2) (= tptp.iF tptp.iminus2))) % 0.37/0.67 (define @t65 () (tptp.cTorF tptp.iF)) % 0.37/0.67 (define @t66 () (= @t65 @t64)) % 0.37/0.67 (define @t67 () (@list tptp.iF)) % 0.37/0.67 (define @t68 () (= tptp.iplus2 tptp.iF)) % 0.37/0.67 (define @t69 () (or @t68 @t58)) % 0.37/0.67 (define @t70 () (= @t65 @t69)) % 0.37/0.67 (define @t71 () (@list false)) % 0.37/0.67 (define @t72 () (@list @t10)) % 0.37/0.67 (define @t73 () (or (= tptp.iF tptp.iT) (= tptp.iF tptp.iF))) % 0.37/0.67 (define @t74 () (= @t65 @t73)) % 0.37/0.67 (define @t75 () (not @t65)) % 0.37/0.67 (define @t76 () (@list false false)) % 0.37/0.67 (define @t77 () (= tptp.iplus1 tptp.iF)) % 0.37/0.67 (define @t78 () (not @t77)) % 0.37/0.67 (define @t79 () (= tptp.iplus1 tptp.iT)) % 0.37/0.67 (define @t80 () (not @t79)) % 0.37/0.67 (define @t81 () (and @t57 @t79)) % 0.37/0.67 (define @t82 () (or (= tptp.iF tptp.iplus1) (= tptp.iF tptp.iminus1))) % 0.37/0.67 (define @t83 () (= @t65 @t82)) % 0.37/0.67 (define @t84 () (= tptp.iminus1 tptp.iF)) % 0.37/0.67 (define @t85 () (or @t77 @t84)) % 0.37/0.67 (define @t86 () (= @t65 @t85)) % 0.37/0.67 (define @t87 () (not @t68)) % 0.37/0.67 (define @t88 () (not @t84)) % 0.37/0.67 (define @t89 () (= tptp.iminus1 tptp.iminus2)) % 0.37/0.67 (define @t90 () (not @t89)) % 0.37/0.67 (define @t91 () (= false true)) % 0.37/0.67 (define @t92 () (and @t60 @t79 @t89 @t84 @t68 @t57)) % 0.37/0.67 (define @t93 () (= tptp.iminus2 tptp.iminus9)) % 0.37/0.67 (define @t94 () (not @t93)) % 0.37/0.67 (define @t95 () (not @t28)) % 0.37/0.67 (define @t96 () (not @t61)) % 0.37/0.67 (define @t97 () (and @t28 @t61)) % 0.37/0.67 (define @t98 () (= tptp.iminus2 tptp.iplus9)) % 0.37/0.67 (define @t99 () (not @t98)) % 0.37/0.67 (define @t100 () (not @t20)) % 0.37/0.67 (define @t101 () (and @t20 @t61)) % 0.37/0.67 (define @t102 () (@list tptp.iminus2)) % 0.37/0.67 (define @t103 () (tptp.cTorF tptp.iminus2)) % 0.37/0.67 (define @t104 () (or (= tptp.iminus2 tptp.iplus2) (= tptp.iminus2 tptp.iminus2))) % 0.37/0.67 (define @t105 () (= @t103 @t104)) % 0.37/0.67 (define @t106 () (or @t93 @t98)) % 0.37/0.67 (define @t107 () (= @t103 @t106)) % 0.37/0.67 (define @t108 () (not @t103)) % 0.37/0.67 (define @t109 () (= tptp.iminus1 tptp.iminus9)) % 0.37/0.67 (define @t110 () (not @t109)) % 0.37/0.67 (define @t111 () (not @t90)) % 0.37/0.67 (define @t112 () (and @t28 @t60 @t90)) % 0.37/0.67 (define @t113 () (= tptp.iminus1 tptp.iplus9)) % 0.37/0.67 (define @t114 () (not @t113)) % 0.37/0.67 (define @t115 () (and @t20 @t60 @t90)) % 0.37/0.67 (define @t116 () (@list tptp.iminus1)) % 0.37/0.67 (define @t117 () (tptp.cTorF tptp.iminus1)) % 0.37/0.67 (define @t118 () (= tptp.iplus1 tptp.iminus1)) % 0.37/0.67 (define @t119 () (or (= tptp.iminus1 tptp.iplus1) (= tptp.iminus1 tptp.iminus1))) % 0.37/0.67 (define @t120 () (= @t117 @t119)) % 0.37/0.67 (define @t121 () (@list @t8)) % 0.37/0.67 (define @t122 () (or @t109 @t113)) % 0.37/0.67 (define @t123 () (= @t117 @t122)) % 0.37/0.67 (define @t124 () (= tptp.iminus7 tptp.iF)) % 0.37/0.67 (define @t125 () (not @t124)) % 0.37/0.67 (define @t126 () (= tptp.iplus1 tptp.iminus7)) % 0.37/0.67 (define @t127 () (not @t126)) % 0.37/0.67 (define @t128 () (and @t57 @t79 @t60 @t126)) % 0.37/0.67 (define @t129 () (or (= tptp.iF tptp.iplus7) (= tptp.iF tptp.iminus7))) % 0.37/0.67 (define @t130 () (= @t65 @t129)) % 0.37/0.67 (define @t131 () (= tptp.iplus7 tptp.iF)) % 0.37/0.67 (define @t132 () (or @t131 @t124)) % 0.37/0.67 (define @t133 () (= @t65 @t132)) % 0.37/0.67 (define @t134 () (@list @t11)) % 0.37/0.67 (define @t135 () (= tptp.iminus2 tptp.iplus7)) % 0.37/0.67 (define @t136 () (not @t135)) % 0.37/0.67 (define @t137 () (not @t131)) % 0.37/0.67 (define @t138 () (and @t57 @t60 @t131)) % 0.37/0.67 (define @t139 () (= tptp.iplus7 tptp.iT)) % 0.37/0.67 (define @t140 () (and @t139 @t60)) % 0.37/0.67 (define @t141 () (= tptp.iminus7 tptp.iT)) % 0.37/0.67 (define @t142 () (and @t79 @t126)) % 0.37/0.67 (define @t143 () (= tptp.iminus4 tptp.iF)) % 0.37/0.67 (define @t144 () (not @t143)) % 0.37/0.67 (define @t145 () (= tptp.iminus4 tptp.iminus7)) % 0.37/0.67 (define @t146 () (not @t145)) % 0.37/0.67 (define @t147 () (and @t57 @t79 @t60 @t126 @t145)) % 0.37/0.67 (define @t148 () (or (= tptp.iF tptp.iminus4) (= tptp.iF tptp.iplus4))) % 0.37/0.67 (define @t149 () (= @t65 @t148)) % 0.37/0.67 (define @t150 () (= tptp.iplus4 tptp.iF)) % 0.37/0.67 (define @t151 () (or @t143 @t150)) % 0.37/0.67 (define @t152 () (= @t65 @t151)) % 0.37/0.67 (define @t153 () (@list @t9)) % 0.37/0.67 (define @t154 () (not @t150)) % 0.37/0.67 (define @t155 () (= tptp.iplus4 tptp.iT)) % 0.37/0.67 (define @t156 () (not @t155)) % 0.37/0.67 (define @t157 () (and @t60 @t79 @t126 @t145 @t155 @t150 @t68 @t57)) % 0.37/0.67 (define @t158 () (= tptp.iplus3 tptp.iT)) % 0.37/0.67 (define @t159 () (= tptp.iplus3 tptp.iF)) % 0.37/0.67 (define @t160 () (not @t159)) % 0.37/0.67 (define @t161 () (not @t158)) % 0.37/0.67 (define @t162 () (and @t60 @t79 @t126 @t145 @t158 @t159 @t68 @t57)) % 0.37/0.67 (define @t163 () (or (= tptp.iF tptp.iplus3) (= tptp.iF tptp.iminus3))) % 0.37/0.67 (define @t164 () (= @t65 @t163)) % 0.37/0.67 (define @t165 () (= tptp.iminus3 tptp.iF)) % 0.37/0.67 (define @t166 () (or @t159 @t165)) % 0.37/0.67 (define @t167 () (= @t65 @t166)) % 0.37/0.67 (define @t168 () (@list @t13)) % 0.37/0.67 (define @t169 () (= tptp.iminus7 tptp.iminus3)) % 0.37/0.67 (define @t170 () (not @t169)) % 0.37/0.67 (define @t171 () (not @t165)) % 0.37/0.67 (define @t172 () (and @t57 @t79 @t60 @t126 @t165)) % 0.37/0.67 (define @t173 () (= tptp.iminus3 tptp.iT)) % 0.37/0.67 (define @t174 () (and @t141 @t173)) % 0.37/0.67 (define @t175 () (= tptp.iF tptp.iplus8)) % 0.37/0.67 (define @t176 () (not @t175)) % 0.37/0.67 (define @t177 () (not @t24)) % 0.37/0.67 (define @t178 () (and @t60 @t79 @t126 @t145 @t24 @t175 @t68 @t57)) % 0.37/0.67 (define @t179 () (= tptp.iF tptp.iminus8)) % 0.37/0.67 (define @t180 () (or @t175 @t179)) % 0.37/0.67 (define @t181 () (= @t65 @t180)) % 0.37/0.67 (define @t182 () (not @t32)) % 0.37/0.67 (define @t183 () (not @t179)) % 0.37/0.67 (define @t184 () (and @t57 @t179)) % 0.37/0.67 (define @t185 () (= tptp.iminus5 tptp.iT)) % 0.37/0.67 (define @t186 () (= tptp.iplus5 tptp.iT)) % 0.37/0.67 (define @t187 () (= tptp.iminus5 tptp.iminus3)) % 0.37/0.67 (define @t188 () (not @t187)) % 0.37/0.67 (define @t189 () (not @t185)) % 0.37/0.67 (define @t190 () (and @t57 @t185 @t165)) % 0.37/0.67 (define @t191 () (= tptp.iplus5 tptp.iminus3)) % 0.37/0.67 (define @t192 () (not @t191)) % 0.37/0.67 (define @t193 () (not @t186)) % 0.37/0.67 (define @t194 () (and @t57 @t186 @t165)) % 0.37/0.67 (define @t195 () (or (= tptp.iminus3 tptp.iplus5) (= tptp.iminus3 tptp.iminus5))) % 0.37/0.67 (define @t196 () (tptp.cTorF tptp.iminus3)) % 0.37/0.67 (define @t197 () (= @t196 @t195)) % 0.37/0.67 (define @t198 () (@list tptp.iminus3)) % 0.37/0.67 (define @t199 () (or @t191 @t187)) % 0.37/0.67 (define @t200 () (= @t196 @t199)) % 0.37/0.67 (define @t201 () (or (= tptp.iminus3 tptp.iplus3) (= tptp.iminus3 tptp.iminus3))) % 0.37/0.67 (define @t202 () (= @t196 @t201)) % 0.37/0.67 (define @t203 () (@list tptp.iminus4)) % 0.37/0.67 (define @t204 () (tptp.cTorF tptp.iminus4)) % 0.37/0.67 (define @t205 () (= tptp.iminus4 tptp.iplus4)) % 0.37/0.67 (define @t206 () (or (= tptp.iminus4 tptp.iminus4) @t205)) % 0.37/0.67 (define @t207 () (= @t204 @t206)) % 0.37/0.67 (define @t208 () (= tptp.iminus4 tptp.iplus7)) % 0.37/0.67 (define @t209 () (or @t208 @t145)) % 0.37/0.67 (define @t210 () (= @t204 @t209)) % 0.37/0.67 (define @t211 () (= tptp.iminus4 tptp.iT)) % 0.37/0.67 (define @t212 () (not @t211)) % 0.37/0.67 (define @t213 () (not @t146)) % 0.37/0.67 (define @t214 () (and @t79 @t60 @t126 @t146)) % 0.37/0.67 (define @t215 () (= tptp.iplus2 tptp.iT)) % 0.37/0.67 (define @t216 () (not @t215)) % 0.37/0.67 (define @t217 () (not @t208)) % 0.37/0.67 (define @t218 () (and @t20 @t79 @t60 @t126 @t146 @t208 @t131 @t68)) % 0.37/0.67 (define @t219 () (and @t20 @t24 @t79 @t60 @t126 @t146 @t208 @t131 @t68)) % 0.37/0.67 (define @t220 () (@list tptp.iplus1)) % 0.37/0.67 (define @t221 () (tptp.cTorF tptp.iplus1)) % 0.37/0.67 (define @t222 () (or (= tptp.iplus1 tptp.iplus1) @t118)) % 0.37/0.67 (define @t223 () (= @t221 @t222)) % 0.37/0.67 (define @t224 () (= tptp.iplus1 tptp.iplus7)) % 0.37/0.67 (define @t225 () (or @t224 @t126)) % 0.37/0.67 (define @t226 () (= @t221 @t225)) % 0.37/0.67 (define @t227 () (not @t221)) % 0.37/0.67 (define @t228 () (or (= tptp.iminus7 tptp.iplus1) (= tptp.iminus7 tptp.iminus1))) % 0.37/0.67 (define @t229 () (tptp.cTorF tptp.iminus7)) % 0.37/0.67 (define @t230 () (= @t229 @t228)) % 0.37/0.67 (define @t231 () (@list tptp.iminus7)) % 0.37/0.67 (define @t232 () (= tptp.iminus1 tptp.iminus7)) % 0.37/0.67 (define @t233 () (or @t126 @t232)) % 0.37/0.67 (define @t234 () (= @t229 @t233)) % 0.37/0.67 (define @t235 () (or (= tptp.iminus7 tptp.iplus7) (= tptp.iminus7 tptp.iminus7))) % 0.37/0.67 (define @t236 () (= @t229 @t235)) % 0.37/0.67 (define @t237 () (not @t229)) % 0.37/0.67 (define @t238 () (= tptp.iminus2 tptp.iminus7)) % 0.37/0.67 (define @t239 () (not @t238)) % 0.37/0.67 (define @t240 () (not @t127)) % 0.37/0.67 (define @t241 () (and @t79 @t60 @t127)) % 0.37/0.67 (define @t242 () (and @t141 @t60)) % 0.37/0.67 (define @t243 () (or (= tptp.iminus7 tptp.iminus4) (= tptp.iminus7 tptp.iplus4))) % 0.37/0.67 (define @t244 () (= @t229 @t243)) % 0.37/0.67 (define @t245 () (= tptp.iplus4 tptp.iminus7)) % 0.37/0.67 (define @t246 () (or @t145 @t245)) % 0.37/0.67 (define @t247 () (= @t229 @t246)) % 0.37/0.67 (define @t248 () (not @t232)) % 0.37/0.67 (define @t249 () (not @t224)) % 0.37/0.67 (define @t250 () (= tptp.iminus1 tptp.iT)) % 0.37/0.67 (define @t251 () (not @t250)) % 0.37/0.67 (define @t252 () (and @t60 @t79 @t224 @t208 @t250 @t84 @t68 @t232 @t146)) % 0.37/0.67 (define @t253 () (and @t60 @t79 @t224 @t208 @t215 @t68 @t84 @t232 @t146)) % 0.37/0.67 (define @t254 () (not @t245)) % 0.37/0.67 (define @t255 () (and @t60 @t79 @t224 @t208 @t155 @t245 @t232 @t84 @t68 @t146)) % 0.37/0.67 (define @t256 () (and @t68 @t84 @t232 @t145 @t211 @t60 @t79 @t127)) % 0.37/0.67 (define @t257 () (not @t173)) % 0.37/0.67 (define @t258 () (and @t57 @t173)) % 0.37/0.67 (define @t259 () (and @t57 @t175)) % 0.37/0.67 (define @t260 () (and @t68 @t159 @t158 @t60 @t84 @t232 @t79 @t127)) % 0.37/0.67 (define @t261 () (or @t79 @t77)) % 0.37/0.67 (define @t262 () (= @t221 @t261)) % 0.37/0.67 (define @t263 () (not @t80)) % 0.37/0.67 (define @t264 () (and @t80 @t77 @t68)) % 0.37/0.67 (define @t265 () (= tptp.iplus1 tptp.iminus6)) % 0.37/0.67 (define @t266 () (not @t265)) % 0.37/0.67 (define @t267 () (not @t17)) % 0.37/0.67 (define @t268 () (and @t17 @t80)) % 0.37/0.67 (define @t269 () (and @t57 @t211)) % 0.37/0.67 (define @t270 () (= tptp.iplus1 tptp.iplus6)) % 0.37/0.67 (define @t271 () (or @t265 @t270)) % 0.37/0.67 (define @t272 () (= @t221 @t271)) % 0.37/0.67 (define @t273 () (not @t34)) % 0.37/0.67 (define @t274 () (not @t270)) % 0.37/0.67 (define @t275 () (and @t57 @t77 @t270)) % 0.37/0.67 (define @t276 () (and @t80 @t77 @t150 @t68)) % 0.37/0.67 (define @t277 () (and @t57 @t158)) % 0.37/0.67 (define @t278 () (or @t60 @t58)) % 0.37/0.67 (define @t279 () (= @t103 @t278)) % 0.37/0.67 (define @t280 () (@list true false)) % 0.37/0.67 (define @t281 () (= tptp.iF tptp.iplus6)) % 0.37/0.67 (define @t282 () (not @t281)) % 0.37/0.67 (define @t283 () (and @t34 @t61 @t58)) % 0.37/0.67 (define @t284 () (= tptp.iF tptp.iminus6)) % 0.37/0.67 (define @t285 () (or @t284 @t281)) % 0.37/0.67 (define @t286 () (= @t65 @t285)) % 0.37/0.67 (define @t287 () (not @t284)) % 0.37/0.67 (define @t288 () (and @t57 @t284)) % 0.37/0.67 (define @t289 () (not @t141)) % 0.37/0.67 (define @t290 () (and @t57 @t141)) % 0.37/0.67 (define @t291 () (and @t57 @t155)) % 0.37/0.67 (define @t292 () (not @t139)) % 0.37/0.67 (define @t293 () (and @t61 @t58 @t131)) % 0.37/0.67 (define @t294 () (@list true true)) % 0.37/0.67 (define @t295 () (@list @t28 @t60)) % 0.37/0.67 (define @t296 () (@list true false false)) % 0.37/0.67 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cTorF @t2)) (tptp.cTorF @t1)))) % 0.37/0.67 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.37/0.67 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.37/0.67 (assume @p4 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.37/0.67 (assume @p5 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.37/0.67 (assume @p6 (forall @t6 (and (tptp.cowlThing @t5) (not (tptp.cowlNothing @t5))))) % 0.37/0.67 (assume @p7 (forall @t6 (= (tptp.xsd_string @t5) (not (tptp.xsd_integer @t5))))) % 0.37/0.67 (assume @p8 @t8) % 0.37/0.67 (assume @p9 @t9) % 0.37/0.67 (assume @p10 @t10) % 0.37/0.67 (assume @p11 @t11) % 0.37/0.67 (assume @p12 @t12) % 0.37/0.67 (assume @p13 @t13) % 0.37/0.67 (assume @p14 @t14) % 0.37/0.67 (assume @p15 (forall @t6 (= @t7 (or (= @t5 tptp.iplus8) (= @t5 tptp.iminus8))))) % 0.37/0.67 (assume @p16 (forall @t6 (= @t7 (or (= @t5 tptp.iminus6) (= @t5 tptp.iplus6))))) % 0.37/0.67 (assume @p17 (forall @t6 (= @t7 (or (= @t5 tptp.iminus9) (= @t5 tptp.iplus9))))) % 0.37/0.67 (assume @p18 (tptp.cowlThing tptp.iF)) % 0.37/0.67 (assume @p19 @t18) % 0.37/0.67 (assume @p20 @t21) % 0.37/0.67 (assume @p21 @t25) % 0.37/0.67 (assume @p22 (or @t26 @t20 @t19)) % 0.37/0.67 (assume @p23 (or @t17 @t15 @t20)) % 0.37/0.67 (assume @p24 @t30) % 0.37/0.67 (assume @p25 (or @t28 @t17 @t15)) % 0.37/0.67 (assume @p26 (tptp.cowlThing tptp.iT)) % 0.37/0.67 (assume @p27 @t33) % 0.37/0.67 (assume @p28 @t35) % 0.37/0.67 (assume @p29 (or @t15 @t22 @t27)) % 0.37/0.67 (assume @p30 (or @t29 @t32 @t36)) % 0.37/0.67 (assume @p31 @t37) % 0.37/0.67 (assume @p32 @t38) % 0.37/0.67 (assume @p33 @t39) % 0.37/0.67 (assume @p34 (or @t34 @t31 @t23)) % 0.37/0.67 (assume @p35 (or @t17 @t15 @t31)) % 0.37/0.67 (assume @p36 (or @t15 @t31 @t20)) % 0.37/0.67 (assume @p37 @t40) % 0.37/0.67 (assume @p38 (or @t26 @t31 @t20)) % 0.37/0.67 (assume @p39 (or @t41 @t34 @t27)) % 0.37/0.67 (assume @p40 (or @t24 @t41 @t22)) % 0.37/0.67 (assume @p41 (or @t41 @t28 @t36)) % 0.37/0.67 (assume @p42 @t42) % 0.37/0.67 (assume @p43 @t44) % 0.37/0.67 (assume @p44 (or @t36 @t15 @t23)) % 0.37/0.67 (assume @p45 (or @t29 @t34 @t31)) % 0.37/0.67 (assume @p46 @t45) % 0.37/0.67 (assume @p47 (or @t29 @t15 @t27)) % 0.37/0.67 (assume @p48 @t46) % 0.37/0.67 (assume @p49 (or @t29 @t32 @t20)) % 0.37/0.67 (assume @p50 @t47) % 0.37/0.67 (assume @p51 @t48) % 0.37/0.67 (assume @p52 @t49) % 0.37/0.67 (assume @p53 (or @t32 @t34 @t19)) % 0.37/0.67 (assume @p54 @t50) % 0.37/0.67 (assume @p55 @t51) % 0.37/0.67 (assume @p56 (or @t41 @t16 @t19)) % 0.37/0.67 (assume @p57 @t52) % 0.37/0.67 (assume @p58 @t53) % 0.37/0.67 (assume @p59 (or @t34 @t31 @t43)) % 0.37/0.67 (assume @p60 (or @t41 @t29 @t28)) % 0.37/0.67 (assume @p61 (or @t26 @t16 @t20)) % 0.37/0.67 (assume @p62 @t54) % 0.37/0.67 (assume @p63 (or @t24 @t34 @t31)) % 0.37/0.67 (assume @p64 @t55) % 0.37/0.67 (assume @p65 (tptp.cowlThing tptp.iminus1)) % 0.37/0.67 (assume @p66 (tptp.cowlThing tptp.iminus2)) % 0.37/0.67 (assume @p67 (tptp.cowlThing tptp.iminus3)) % 0.37/0.67 (assume @p68 (tptp.cowlThing tptp.iminus4)) % 0.37/0.67 (assume @p69 (tptp.cowlThing tptp.iminus5)) % 0.37/0.67 (assume @p70 (tptp.cowlThing tptp.iminus6)) % 0.37/0.67 (assume @p71 (tptp.cowlThing tptp.iminus7)) % 0.37/0.67 (assume @p72 (tptp.cowlThing tptp.iminus8)) % 0.37/0.67 (assume @p73 (tptp.cowlThing tptp.iminus9)) % 0.37/0.67 (assume @p74 (tptp.cowlThing tptp.iplus1)) % 0.37/0.67 (assume @p75 (tptp.cowlThing tptp.iplus2)) % 0.37/0.67 (assume @p76 (tptp.cowlThing tptp.iplus3)) % 0.37/0.67 (assume @p77 (tptp.cowlThing tptp.iplus4)) % 0.37/0.67 (assume @p78 (tptp.cowlThing tptp.iplus5)) % 0.37/0.67 (assume @p79 (tptp.cowlThing tptp.iplus6)) % 0.37/0.67 (assume @p80 (tptp.cowlThing tptp.iplus7)) % 0.37/0.67 (assume @p81 (tptp.cowlThing tptp.iplus8)) % 0.37/0.67 (assume @p82 (tptp.cowlThing tptp.iplus9)) % 0.37/0.67 (assume @p83 @t57) % 0.37/0.67 (step @p84 :rule refl :args (@t59)) % 0.37/0.67 (step @p85 :rule refl :args (@t61)) % 0.37/0.67 (step @p86 :rule bool-double-not-elim :args (@t56)) % 0.37/0.67 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84) :args ((or @t62 @t61 @t59))) % 0.37/0.67 (assume-push @p1980 @t57) % 0.37/0.67 (assume-push @p1981 @t60) % 0.37/0.67 (assume-push @p1982 @t57) % 0.37/0.67 (assume-push @p1983 @t60) % 0.37/0.67 (step @p92 :rule false_intro :premises (@p83)) % 0.37/0.67 (step @p93 :rule refl :args (tptp.iF)) % 0.37/0.67 (step @p94 :rule cong :premises (@p1981 @p93) :args (@t58)) % 0.37/0.67 (step @p95 :rule trans :premises (@p94 @p92)) % 0.37/0.67 (step @p96 :rule false_elim :premises (@p95)) % 0.37/0.67 (step-pop @p1984 :rule scope :premises (@p96)) % 0.37/0.67 (step-pop @p1985 :rule scope :premises (@p1984)) % 0.37/0.67 (step @p97 :rule process_scope :premises (@p1985) :args (@t59)) % 0.37/0.67 (step @p100 :rule and_intro :premises (@p83 @p1981)) % 0.37/0.67 (step @p101 :rule modus_ponens :premises (@p100 @p97)) % 0.37/0.67 (step-pop @p1986 :rule scope :premises (@p101)) % 0.37/0.67 (step-pop @p1987 :rule scope :premises (@p1986)) % 0.37/0.67 (step @p102 :rule process_scope :premises (@p1987) :args (@t59)) % 0.37/0.67 (step @p105 :rule implies_elim :premises (@p102)) % 0.37/0.67 (step @p106 :rule cnf_and_neg :args (@t63)) % 0.37/0.67 (step @p107 :rule resolution :premises (@p106 @p105) :args (true @t63)) % 0.37/0.67 (step @p108 :rule eq_resolve :premises (@p107 @p87)) % 0.37/0.67 (step @p109 :rule eq-symm :args (tptp.iF tptp.iminus2)) % 0.37/0.67 (step @p110 :rule eq-symm :args (tptp.iF tptp.iplus2)) % 0.37/0.67 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t64)) % 0.37/0.67 (step @p112 :rule refl :args (@t65)) % 0.37/0.67 (step @p113 :rule cong :premises (@p112 @p111) :args (@t66)) % 0.37/0.67 (step @p114 :rule refl :args (@t10)) % 0.37/0.67 (step @p115 :rule cong :premises (@p114 @p113) :args ((=> @t10 @t66))) % 0.37/0.67 (assume-push @p1988 @t10) % 0.37/0.67 (step @p117 :rule instantiate :premises (@p10) :args (@t67)) % 0.37/0.67 (step-pop @p1989 :rule scope :premises (@p117)) % 0.37/0.67 (step @p118 :rule process_scope :premises (@p1989) :args (@t66)) % 0.37/0.67 (step @p120 :rule eq_resolve :premises (@p118 @p115)) % 0.37/0.67 (step @p121 :rule implies_elim :premises (@p120)) % 0.37/0.67 (step @p122 :rule chain_m_resolution :premises (@p121 @p10) :args (@t70 @t71 @t72)) % 0.37/0.67 (step @p123 :rule bool-eq-true :args (@t65)) % 0.37/0.67 (step @p124 :rule absorb :args ((= (or @t56 true) true))) % 0.37/0.67 (step @p125 :rule eq-refl :args (tptp.iF)) % 0.37/0.67 (step @p126 :rule eq-symm :args (tptp.iF tptp.iT)) % 0.37/0.67 (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t73)) % 0.37/0.67 (step @p128 :rule trans :premises (@p127 @p124)) % 0.37/0.67 (step @p129 :rule cong :premises (@p112 @p128) :args (@t74)) % 0.37/0.67 (step @p130 :rule trans :premises (@p129 @p123)) % 0.37/0.67 (step @p131 :rule refl :args (@t14)) % 0.37/0.67 (step @p132 :rule cong :premises (@p131 @p130) :args ((=> @t14 @t74))) % 0.37/0.67 (assume-push @p1990 @t14) % 0.37/0.67 (step @p134 :rule instantiate :premises (@p14) :args (@t67)) % 0.37/0.67 (step-pop @p1991 :rule scope :premises (@p134)) % 0.37/0.67 (step @p135 :rule process_scope :premises (@p1991) :args (@t74)) % 0.37/0.67 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 0.37/0.67 (step @p138 :rule implies_elim :premises (@p137)) % 0.37/0.67 (step @p139 :rule chain_m_resolution :premises (@p138 @p14) :args (@t65 @t71 (@list @t14))) % 0.37/0.67 (step @p140 :rule cnf_equiv_pos1 :args (@t70)) % 0.37/0.67 (step @p141 :rule reordering :premises (@p140) :args ((or @t69 @t75 (not @t70)))) % 0.37/0.67 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p122) :args (@t69 @t76 (@list @t65 @t70))) % 0.37/0.67 (step @p143 :rule cnf_or_pos :args (@t69)) % 0.37/0.67 (step @p144 :rule reordering :premises (@p143) :args ((or @t58 @t68 (not @t69)))) % 0.37/0.67 (step @p145 :rule refl :args (@t78)) % 0.37/0.67 (step @p146 :rule refl :args (@t80)) % 0.37/0.67 (step @p147 :rule nary_cong :premises (@p86 @p146 @p145) :args ((or @t62 @t80 @t78))) % 0.37/0.67 (assume-push @p1992 @t57) % 0.37/0.67 (assume-push @p1993 @t79) % 0.37/0.67 (assume-push @p1994 @t79) % 0.37/0.67 (assume-push @p1995 @t57) % 0.37/0.67 (step @p92 :rule false_intro :premises (@p83)) % 0.37/0.67 (step @p93 :rule refl :args (tptp.iF)) % 0.37/0.67 (step @p152 :rule cong :premises (@p1993 @p93) :args (@t77)) % 0.37/0.67 (step @p153 :rule trans :premises (@p152 @p92)) % 0.37/0.67 (step @p154 :rule false_elim :premises (@p153)) % 0.37/0.67 (step-pop @p1996 :rule scope :premises (@p154)) % 0.37/0.67 (step-pop @p1997 :rule scope :premises (@p1996)) % 0.37/0.67 (step @p155 :rule process_scope :premises (@p1997) :args (@t78)) % 0.37/0.67 (step @p158 :rule and_intro :premises (@p1993 @p83)) % 0.37/0.67 (step @p159 :rule modus_ponens :premises (@p158 @p155)) % 0.37/0.67 (step-pop @p1998 :rule scope :premises (@p159)) % 0.37/0.67 (step-pop @p1999 :rule scope :premises (@p1998)) % 0.37/0.67 (step @p160 :rule process_scope :premises (@p1999) :args (@t78)) % 0.37/0.67 (step @p163 :rule implies_elim :premises (@p160)) % 0.37/0.67 (step @p164 :rule cnf_and_neg :args (@t81)) % 0.37/0.67 (step @p165 :rule resolution :premises (@p164 @p163) :args (true @t81)) % 0.37/0.67 (step @p166 :rule eq_resolve :premises (@p165 @p147)) % 0.37/0.67 (step @p167 :rule eq-symm :args (tptp.iF tptp.iminus1)) % 0.37/0.67 (step @p168 :rule eq-symm :args (tptp.iF tptp.iplus1)) % 0.37/0.67 (step @p169 :rule nary_cong :premises (@p168 @p167) :args (@t82)) % 0.37/0.67 (step @p170 :rule cong :premises (@p112 @p169) :args (@t83)) % 0.37/0.67 (step @p171 :rule refl :args (@t8)) % 0.37/0.67 (step @p172 :rule cong :premises (@p171 @p170) :args ((=> @t8 @t83))) % 0.37/0.67 (assume-push @p2000 @t8) % 0.37/0.67 (step @p174 :rule instantiate :premises (@p8) :args (@t67)) % 0.37/0.67 (step-pop @p2001 :rule scope :premises (@p174)) % 0.37/0.67 (step @p175 :rule process_scope :premises (@p2001) :args (@t83)) % 0.37/0.67 (step @p177 :rule eq_resolve :premises (@p175 @p172)) % 0.37/0.67 (step @p178 :rule implies_elim :premises (@p177)) % 0.37/0.67 (step @p179 :rule cnf_equiv_pos1 :args (@t86)) % 0.37/0.67 (step @p180 :rule reordering :premises (@p179) :args ((or @t85 @t75 (not @t86)))) % 0.37/0.67 (step @p181 :rule cnf_or_pos :args (@t85)) % 0.37/0.67 (step @p182 :rule reordering :premises (@p181) :args ((or @t77 @t84 (not @t85)))) % 0.37/0.67 (step @p183 :rule refl :args (@t87)) % 0.37/0.67 (step @p184 :rule refl :args (@t88)) % 0.37/0.67 (step @p185 :rule refl :args (@t90)) % 0.37/0.67 (step @p186 :rule nary_cong :premises (@p86 @p146 @p85 @p185 @p184 @p183) :args ((or @t62 @t80 @t61 @t90 @t88 @t87))) % 0.37/0.67 (assume-push @p2002 @t60) % 0.37/0.67 (assume-push @p2003 @t79) % 0.37/0.67 (assume-push @p2004 @t89) % 0.37/0.67 (assume-push @p2005 @t84) % 0.37/0.67 (assume-push @p2006 @t68) % 0.37/0.67 (assume-push @p2007 @t57) % 0.37/0.67 (step @p193 :rule evaluate :args (@t91)) % 0.37/0.67 (step @p194 :rule symm :premises (@p2005)) % 0.37/0.67 (step @p195 :rule trans :premises (@p2006 @p194 @p2004 @p2002)) % 0.37/0.67 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chain_m_resolution :premises (@p1806 @p83 @p1957) :args (@t160 @t280 (@list @t56 @t158))) % 0.37/0.68 (step @p1959 :rule chain_m_resolution :premises (@p691 @p1958 @p689) :args (@t165 @t280 (@list @t159 @t166))) % 0.37/0.68 (step @p1960 :rule chain_m_resolution :premises (@p1524 @p83 @p1959) :args (@t257 @t280 (@list @t56 @t165))) % 0.37/0.68 (step @p1961 :rule nary_cong :premises (@p616 @p1808 @p750) :args (@t50)) % 0.37/0.68 (step @p1962 :rule eq_resolve :premises (@p54 @p1961)) % 0.37/0.68 (step @p1963 :rule reordering :premises (@p1962) :args ((or @t28 @t139 @t60))) % 0.37/0.68 (step @p1964 :rule chain_m_resolution :premises (@p1963 @p1953 @p1807) :args (@t139 @t294 @t295)) % 0.37/0.68 (step @p1965 :rule chain_m_resolution :premises (@p1951 @p1807 @p1964 @p1818) :args (@t137 @t296 (@list @t60 @t139 @t58))) % 0.37/0.68 (step @p1966 :rule chain_m_resolution :premises (@p441 @p1965 @p439) :args (@t124 @t280 (@list @t131 @t132))) % 0.37/0.68 (step @p1967 :rule chain_m_resolution :premises (@p1902 @p83 @p1966) :args (@t289 @t280 (@list @t56 @t124))) % 0.37/0.68 (step @p1968 :rule chain_m_resolution :premises (@p1503 @p1967 @p1960) :args (@t211 @t294 (@list @t141 @t173))) % 0.37/0.68 (step @p1969 :rule chain_m_resolution :premises (@p1705 @p83 @p1968) :args (@t144 @t280 (@list @t56 @t211))) % 0.37/0.68 (step @p1970 :rule chain_m_resolution :premises (@p561 @p1969 @p559) :args (@t150 @t280 (@list @t143 @t151))) % 0.37/0.68 (step @p1971 :rule chain_m_resolution :premises (@p1922 @p83 @p1970) :args (@t156 @t280 (@list @t56 @t150))) % 0.37/0.68 (step @p1972 :rule nary_cong :premises (@p1779 @p1808 @p1500) :args (@t39)) % 0.37/0.68 (step @p1973 :rule eq_resolve :premises (@p33 @p1972)) % 0.37/0.68 (step @p1974 :rule reordering :premises (@p1973) :args ((or @t34 @t141 @t60))) % 0.37/0.68 (step @p1975 :rule chain_m_resolution :premises (@p1974 @p1967 @p1807) :args (@t34 @t294 (@list @t141 @t60))) % 0.37/0.68 (step @p1976 :rule chain_m_resolution :premises (@p1847 @p1807 @p1975 @p1818) :args (@t282 @t296 (@list @t60 @t34 @t58))) % 0.37/0.68 (step @p1977 :rule chain_m_resolution :premises (@p1853 @p1976 @p1851) :args (@t284 @t280 (@list @t281 @t285))) % 0.37/0.68 (step @p1978 :rule chain_m_resolution :premises (@p1876 @p83 @p1977) :args (@t267 @t280 (@list @t56 @t284))) % 0.37/0.68 (step @p1979 false :rule chain_m_resolution :premises (@p1881 @p1978 @p1971 @p1807) :args (false (@list true true true) (@list @t17 @t155 @t60))) % 0.37/0.68 ) % 0.37/0.68 % SZS output end Proof % 0.37/0.68 % cvc5 exiting %------------------------------------------------------------------------------