%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM496+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:39:37 AM UTC 2026 % Result : Theorem 16.22s 16.45s % Output : Proof 16.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM496+1 : TPTP v9.2.1. Released v4.0.0. % 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 : n020.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 11:23:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 16.22/16.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.22/16.45 --- Run --no-e-matching --full-saturate-quant at 6... % 16.22/16.45 % SZS status Theorem % 16.22/16.45 % SZS output start Proof % 16.22/16.45 ( % 16.22/16.45 (declare-sort $$unsorted 0) % 16.22/16.45 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 16.22/16.45 (declare-const tptp.xm $$unsorted) % 16.22/16.45 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.22/16.45 (declare-const tptp.xr $$unsorted) % 16.22/16.45 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 16.22/16.45 (declare-const tptp.xn $$unsorted) % 16.22/16.45 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 16.22/16.45 (declare-const tptp.sz00 $$unsorted) % 16.22/16.45 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.22/16.45 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.22/16.45 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.22/16.45 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 16.22/16.45 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 16.22/16.45 (declare-const tptp.sz10 $$unsorted) % 16.22/16.45 (declare-const tptp.xp $$unsorted) % 16.22/16.45 (define @t1 () (@var "W0" $$unsorted)) % 16.22/16.45 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 16.22/16.45 (define @t3 () (@list @t1)) % 16.22/16.45 (define @t4 () (not (= tptp.sz10 tptp.sz00))) % 16.22/16.45 (define @t5 () (tptp.aNaturalNumber0 tptp.sz10)) % 16.22/16.45 (define @t6 () (@var "W1" $$unsorted)) % 16.22/16.45 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 16.22/16.45 (define @t8 () (tptp.aNaturalNumber0 @t6)) % 16.22/16.45 (define @t9 () (and @t2 @t8)) % 16.22/16.45 (define @t10 () (@list @t1 @t6)) % 16.22/16.45 (define @t11 () (tptp.sdtasdt0 @t1 @t6)) % 16.22/16.45 (define @t12 () (tptp.sdtpldt0 @t6 @t1)) % 16.22/16.45 (define @t13 () (@var "W2" $$unsorted)) % 16.22/16.45 (define @t14 () (tptp.sdtpldt0 @t6 @t13)) % 16.22/16.45 (define @t15 () (tptp.sdtpldt0 @t7 @t13)) % 16.22/16.45 (define @t16 () (tptp.aNaturalNumber0 @t13)) % 16.22/16.45 (define @t17 () (and @t2 @t8 @t16)) % 16.22/16.45 (define @t18 () (@list @t1 @t6 @t13)) % 16.22/16.45 (define @t19 () (tptp.sdtasdt0 @t6 @t1)) % 16.22/16.45 (define @t20 () (tptp.sdtasdt0 @t13 @t1)) % 16.22/16.45 (define @t21 () (tptp.sdtasdt0 @t1 @t13)) % 16.22/16.45 (define @t22 () (= @t6 @t13)) % 16.22/16.45 (define @t23 () (tptp.sdtpldt0 @t13 @t1)) % 16.22/16.45 (define @t24 () (tptp.sdtpldt0 @t1 @t13)) % 16.22/16.45 (define @t25 () (= @t19 @t20)) % 16.22/16.45 (define @t26 () (= @t11 @t21)) % 16.22/16.45 (define @t27 () (and @t8 @t16)) % 16.22/16.45 (define @t28 () (= @t1 tptp.sz00)) % 16.22/16.45 (define @t29 () (not @t28)) % 16.22/16.45 (define @t30 () (= @t6 tptp.sz00)) % 16.22/16.45 (define @t31 () (and @t16 (= @t24 @t6))) % 16.22/16.45 (define @t32 () (@list @t13)) % 16.22/16.45 (define @t33 () (tptp.sdtlseqdt0 @t1 @t6)) % 16.22/16.45 (define @t34 () (tptp.sdtmndt0 @t6 @t1)) % 16.22/16.45 (define @t35 () (= @t13 @t34)) % 16.22/16.45 (define @t36 () (forall @t32 (= @t35 @t31))) % 16.22/16.45 (define @t37 () (=> @t33 @t36)) % 16.22/16.45 (define @t38 () (=> @t9 @t37)) % 16.22/16.45 (define @t39 () (forall @t10 @t38)) % 16.22/16.45 (define @t40 () (= @t1 @t6)) % 16.22/16.45 (define @t41 () (tptp.sdtlseqdt0 @t6 @t1)) % 16.22/16.45 (define @t42 () (tptp.sdtlseqdt0 @t6 @t13)) % 16.22/16.45 (define @t43 () (= @t6 @t1)) % 16.22/16.45 (define @t44 () (tptp.sdtpldt0 @t13 @t6)) % 16.22/16.45 (define @t45 () (and (not @t40) @t33)) % 16.22/16.45 (define @t46 () (= @t1 tptp.sz10)) % 16.22/16.45 (define @t47 () (tptp.iLess0 @t1 @t6)) % 16.22/16.45 (define @t48 () (and @t16 (= @t6 @t21))) % 16.22/16.45 (define @t49 () (tptp.doDivides0 @t1 @t6)) % 16.22/16.45 (define @t50 () (tptp.sdtsldt0 @t6 @t1)) % 16.22/16.45 (define @t51 () (and @t29 @t49)) % 16.22/16.45 (define @t52 () (tptp.doDivides0 @t1 @t13)) % 16.22/16.45 (define @t53 () (tptp.doDivides0 @t1 @t14)) % 16.22/16.45 (define @t54 () (and @t49 @t52)) % 16.22/16.45 (define @t55 () (=> @t54 @t53)) % 16.22/16.45 (define @t56 () (forall @t18 (=> @t17 @t55))) % 16.22/16.45 (define @t57 () (or (= @t6 tptp.sz10) @t43)) % 16.22/16.45 (define @t58 () (tptp.doDivides0 @t6 @t1)) % 16.22/16.45 (define @t59 () (and @t8 @t58)) % 16.22/16.45 (define @t60 () (=> @t59 @t57)) % 16.22/16.45 (define @t61 () (@list @t6)) % 16.22/16.45 (define @t62 () (forall @t61 @t60)) % 16.22/16.45 (define @t63 () (not @t46)) % 16.22/16.45 (define @t64 () (and @t29 @t63 @t62)) % 16.22/16.45 (define @t65 () (tptp.isPrime0 @t1)) % 16.22/16.45 (define @t66 () (= @t65 @t64)) % 16.22/16.45 (define @t67 () (=> @t2 @t66)) % 16.22/16.45 (define @t68 () (forall @t3 @t67)) % 16.22/16.45 (define @t69 () (tptp.isPrime0 @t6)) % 16.22/16.45 (define @t70 () (and @t8 @t58 @t69)) % 16.22/16.45 (define @t71 () (exists @t61 @t70)) % 16.22/16.45 (define @t72 () (and @t2 @t29 @t63)) % 16.22/16.45 (define @t73 () (=> @t72 @t71)) % 16.22/16.45 (define @t74 () (forall @t3 @t73)) % 16.22/16.45 (define @t75 () (tptp.aNaturalNumber0 tptp.xp)) % 16.22/16.45 (define @t76 () (tptp.aNaturalNumber0 tptp.xn)) % 16.22/16.45 (define @t77 () (tptp.isPrime0 tptp.xp)) % 16.22/16.45 (define @t78 () (tptp.sdtlseqdt0 tptp.xp tptp.xn)) % 16.22/16.45 (define @t79 () (tptp.sdtmndt0 tptp.xn tptp.xp)) % 16.22/16.45 (define @t80 () (tptp.doDivides0 tptp.xp tptp.xm)) % 16.22/16.45 (define @t81 () (tptp.doDivides0 tptp.xp tptp.xr)) % 16.22/16.45 (define @t82 () (or @t81 @t80)) % 16.22/16.45 (define @t83 () (tptp.doDivides0 tptp.xp tptp.xn)) % 16.22/16.45 (define @t84 () (@var "BOUND_VARIABLE_7865" $$unsorted)) % 16.22/16.45 (define @t85 () (= @t34 @t84)) % 16.22/16.45 (define @t86 () (and (tptp.aNaturalNumber0 @t84) (= @t6 (tptp.sdtpldt0 @t1 @t84)))) % 16.22/16.45 (define @t87 () (= (= @t84 @t34) @t86)) % 16.22/16.45 (define @t88 () (not @t33)) % 16.22/16.45 (define @t89 () (not @t8)) % 16.22/16.45 (define @t90 () (not @t2)) % 16.22/16.45 (define @t91 () (or @t90 @t89 @t88 @t87)) % 16.22/16.45 (define @t92 () (@list @t1 @t6 @t84)) % 16.22/16.45 (define @t93 () (forall @t92 @t91)) % 16.22/16.45 (define @t94 () (@list @t84)) % 16.22/16.45 (define @t95 () (forall @t94 @t91)) % 16.22/16.45 (define @t96 () (forall @t94 @t87)) % 16.22/16.45 (define @t97 () (or @t90 @t89 @t88 @t96)) % 16.22/16.45 (define @t98 () (and @t16 (= @t6 @t24))) % 16.22/16.45 (define @t99 () (forall @t32 (= @t35 @t98))) % 16.22/16.45 (define @t100 () (or @t90 @t89 @t88 @t99)) % 16.22/16.45 (define @t101 () (=> @t33 @t99)) % 16.22/16.45 (define @t102 () (tptp.sdtpldt0 tptp.xp @t79)) % 16.22/16.45 (define @t103 () (= tptp.xn @t102)) % 16.22/16.45 (define @t104 () (tptp.aNaturalNumber0 @t79)) % 16.22/16.45 (define @t105 () (and @t104 @t103)) % 16.22/16.45 (define @t106 () (= @t79 @t79)) % 16.22/16.45 (define @t107 () (not @t78)) % 16.22/16.45 (define @t108 () (not @t76)) % 16.22/16.45 (define @t109 () (not @t75)) % 16.22/16.45 (define @t110 () (or @t109 @t108 @t107 (= @t105 @t106))) % 16.22/16.45 (define @t111 () (forall @t92 (or @t90 @t89 @t88 (= @t86 @t85)))) % 16.22/16.45 (define @t112 () (or @t109 @t108 @t107 @t105)) % 16.22/16.45 (define @t113 () (@list false)) % 16.22/16.45 (define @t114 () (not @t105)) % 16.22/16.45 (define @t115 () (@list @t105)) % 16.22/16.45 (define @t116 () (not @t52)) % 16.22/16.45 (define @t117 () (not @t49)) % 16.22/16.45 (define @t118 () (not @t16)) % 16.22/16.45 (define @t119 () (or @t117 @t116 @t53)) % 16.22/16.45 (define @t120 () (or @t90 @t89 @t118)) % 16.22/16.45 (define @t121 () (= tptp.sz10 @t6)) % 16.22/16.45 (define @t122 () (not @t58)) % 16.22/16.45 (define @t123 () (or @t89 @t122 @t121 @t40)) % 16.22/16.45 (define @t124 () (= @t65 (and @t29 @t63 (forall @t61 @t123)))) % 16.22/16.45 (define @t125 () (or @t121 @t40)) % 16.22/16.45 (define @t126 () (not (tptp.doDivides0 @t6 tptp.xp))) % 16.22/16.45 (define @t127 () (or @t89 @t126 @t121 (= tptp.xp @t6))) % 16.22/16.45 (define @t128 () (forall @t61 @t127)) % 16.22/16.45 (define @t129 () (= tptp.xp tptp.sz10)) % 16.22/16.45 (define @t130 () (not @t129)) % 16.22/16.45 (define @t131 () (= tptp.xp tptp.sz00)) % 16.22/16.45 (define @t132 () (not @t131)) % 16.22/16.45 (define @t133 () (and @t132 @t130 @t128)) % 16.22/16.45 (define @t134 () (= @t77 @t133)) % 16.22/16.45 (define @t135 () (or @t109 @t134)) % 16.22/16.45 (define @t136 () (forall @t3 (or @t90 @t124))) % 16.22/16.45 (define @t137 () (@list tptp.xp)) % 16.22/16.45 (define @t138 () (forall @t61 (or @t89 @t126 @t121 (= @t6 tptp.xp)))) % 16.22/16.45 (define @t139 () (= tptp.sz10 tptp.xp)) % 16.22/16.45 (define @t140 () (not @t139)) % 16.22/16.45 (define @t141 () (= tptp.sz00 tptp.xp)) % 16.22/16.45 (define @t142 () (not @t141)) % 16.22/16.45 (define @t143 () (and @t142 @t140 @t138)) % 16.22/16.45 (define @t144 () (= @t77 @t143)) % 16.22/16.45 (define @t145 () (or @t109 @t144)) % 16.22/16.45 (define @t146 () (@list @t136)) % 16.22/16.45 (define @t147 () (@list false false)) % 16.22/16.45 (define @t148 () (not @t143)) % 16.22/16.45 (define @t149 () (@list @t143)) % 16.22/16.45 (define @t150 () (not @t69)) % 16.22/16.45 (define @t151 () (forall @t61 (or @t89 @t126 @t150))) % 16.22/16.45 (define @t152 () (@quantifiers_skolemize @t151 0)) % 16.22/16.45 (define @t153 () (= tptp.sz10 @t152)) % 16.22/16.45 (define @t154 () (tptp.doDivides0 @t152 tptp.xp)) % 16.22/16.45 (define @t155 () (not @t154)) % 16.22/16.45 (define @t156 () (tptp.aNaturalNumber0 @t152)) % 16.22/16.45 (define @t157 () (not @t156)) % 16.22/16.45 (define @t158 () (or @t157 @t155 @t153 (= @t152 tptp.xp))) % 16.22/16.45 (define @t159 () (= tptp.xp @t152)) % 16.22/16.45 (define @t160 () (or @t157 @t155 @t153 @t159)) % 16.22/16.45 (define @t161 () (or @t89 @t122 @t150)) % 16.22/16.45 (define @t162 () (not (forall @t61 @t161))) % 16.22/16.45 (define @t163 () (or @t90 @t28 @t46 @t162)) % 16.22/16.45 (define @t164 () (not @t63)) % 16.22/16.45 (define @t165 () (not @t29)) % 16.22/16.45 (define @t166 () (or @t90 @t165 @t164)) % 16.22/16.45 (define @t167 () (forall @t61 (not @t70))) % 16.22/16.45 (define @t168 () (not @t167)) % 16.22/16.45 (define @t169 () (not @t151)) % 16.22/16.45 (define @t170 () (or @t109 @t131 @t129 @t169)) % 16.22/16.45 (define @t171 () (forall @t3 @t163)) % 16.22/16.45 (define @t172 () (or @t109 @t141 @t139 @t169)) % 16.22/16.45 (define @t173 () (tptp.isPrime0 @t152)) % 16.22/16.45 (define @t174 () (not @t173)) % 16.22/16.45 (define @t175 () (or @t157 @t155 @t174)) % 16.22/16.45 (define @t176 () (@list true)) % 16.22/16.45 (define @t177 () (@list @t175)) % 16.22/16.45 (define @t178 () (tptp.isPrime0 tptp.sz10)) % 16.22/16.45 (define @t179 () (not (tptp.doDivides0 @t6 tptp.sz10))) % 16.22/16.45 (define @t180 () (or @t89 @t179 @t121)) % 16.22/16.45 (define @t181 () (or @t89 @t179 @t121 @t121)) % 16.22/16.45 (define @t182 () (forall @t61 @t181)) % 16.22/16.45 (define @t183 () (not (= tptp.sz10 tptp.sz10))) % 16.22/16.45 (define @t184 () (and @t4 @t183 @t182)) % 16.22/16.45 (define @t185 () (= @t178 @t184)) % 16.22/16.45 (define @t186 () (not @t5)) % 16.22/16.45 (define @t187 () (or @t186 @t185)) % 16.22/16.45 (define @t188 () (not @t178)) % 16.22/16.45 (define @t189 () (or @t186 @t188)) % 16.22/16.45 (define @t190 () (not @t153)) % 16.22/16.45 (define @t191 () (and @t188 @t153 @t173)) % 16.22/16.45 (define @t192 () (tptp.doDivides0 tptp.xp tptp.xp)) % 16.22/16.45 (define @t193 () (and @t154 @t159)) % 16.22/16.45 (define @t194 () (tptp.doDivides0 tptp.xp @t79)) % 16.22/16.45 (define @t195 () (tptp.doDivides0 tptp.xp @t102)) % 16.22/16.45 (define @t196 () (not @t194)) % 16.22/16.45 (define @t197 () (not @t192)) % 16.22/16.45 (define @t198 () (not @t104)) % 16.22/16.45 (define @t199 () (or @t109 @t109 @t198 @t197 @t196 @t195)) % 16.22/16.45 (define @t200 () (not @t195)) % 16.22/16.45 (define @t201 () (not @t103)) % 16.22/16.45 (define @t202 () (not @t83)) % 16.22/16.45 (define @t203 () (and @t195 @t103 @t202)) % 16.22/16.45 (assume @p1 (forall @t3 (=> @t2 true))) % 16.22/16.45 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 16.22/16.45 (assume @p3 (and @t5 @t4)) % 16.22/16.45 (assume @p4 (forall @t10 (=> @t9 (tptp.aNaturalNumber0 @t7)))) % 16.22/16.45 (assume @p5 (forall @t10 (=> @t9 (tptp.aNaturalNumber0 @t11)))) % 16.22/16.45 (assume @p6 (forall @t10 (=> @t9 (= @t7 @t12)))) % 16.22/16.45 (assume @p7 (forall @t18 (=> @t17 (= @t15 (tptp.sdtpldt0 @t1 @t14))))) % 16.22/16.45 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 16.22/16.45 (assume @p9 (forall @t10 (=> @t9 (= @t11 @t19)))) % 16.22/16.45 (assume @p10 (forall @t18 (=> @t17 (= (tptp.sdtasdt0 @t11 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t6 @t13)))))) % 16.22/16.45 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 16.22/16.45 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 16.22/16.45 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t11 @t21)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t19 @t20)))))) % 16.22/16.45 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t7 @t24) (= @t12 @t23)) @t22)))) % 16.22/16.45 (assume @p15 (forall @t3 (=> @t2 (=> @t29 (forall (@list @t6 @t13) (=> @t27 (=> (or @t26 @t25) @t22))))))) % 16.22/16.45 (assume @p16 (forall @t10 (=> @t9 (=> (= @t7 tptp.sz00) (and @t28 @t30))))) % 16.22/16.45 (assume @p17 (forall @t10 (=> @t9 (=> (= @t11 tptp.sz00) (or @t28 @t30))))) % 16.22/16.45 (assume @p18 (forall @t10 (=> @t9 (= @t33 (exists @t32 @t31))))) % 16.22/16.45 (assume @p19 @t39) % 16.22/16.45 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 16.22/16.45 (assume @p21 (forall @t10 (=> @t9 (=> (and @t33 @t41) @t40)))) % 16.22/16.45 (assume @p22 (forall @t18 (=> @t17 (=> (and @t33 @t42) (tptp.sdtlseqdt0 @t1 @t13))))) % 16.22/16.45 (assume @p23 (forall @t10 (=> @t9 (or @t33 (and (not @t43) @t41))))) % 16.22/16.45 (assume @p24 (forall @t10 (=> @t9 (=> @t45 (forall @t32 (=> @t16 (and (not (= @t23 @t44)) (tptp.sdtlseqdt0 @t23 @t44) (not (= @t24 @t14)) (tptp.sdtlseqdt0 @t24 @t14)))))))) % 16.22/16.45 (assume @p25 (forall @t18 (=> @t17 (=> (and @t29 (not @t22) @t42) (and (not @t26) (tptp.sdtlseqdt0 @t11 @t21) (not @t25) (tptp.sdtlseqdt0 @t19 @t20)))))) % 16.22/16.45 (assume @p26 (forall @t3 (=> @t2 (or @t28 @t46 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 16.22/16.45 (assume @p27 (forall @t10 (=> @t9 (=> @t29 (tptp.sdtlseqdt0 @t6 @t19))))) % 16.22/16.45 (assume @p28 (forall @t10 (=> @t9 (=> @t47 true)))) % 16.22/16.45 (assume @p29 (forall @t10 (=> @t9 (=> @t45 @t47)))) % 16.22/16.45 (assume @p30 (forall @t10 (=> @t9 (= @t49 (exists @t32 @t48))))) % 16.22/16.45 (assume @p31 (forall @t10 (=> @t9 (=> @t51 (forall @t32 (= (= @t13 @t50) @t48)))))) % 16.22/16.45 (assume @p32 (forall @t18 (=> @t17 (=> (and @t49 (tptp.doDivides0 @t6 @t13)) @t52)))) % 16.22/16.45 (assume @p33 @t56) % 16.22/16.45 (assume @p34 (forall @t18 (=> @t17 (=> (and @t49 @t53) @t52)))) % 16.22/16.45 (assume @p35 (forall @t10 (=> @t9 (=> (and @t49 (not @t30)) @t33)))) % 16.22/16.45 (assume @p36 (forall @t10 (=> @t9 (=> @t51 (forall @t32 (=> @t16 (= (tptp.sdtasdt0 @t13 @t50) (tptp.sdtsldt0 (tptp.sdtasdt0 @t13 @t6) @t1)))))))) % 16.22/16.45 (assume @p37 @t68) % 16.22/16.45 (assume @p38 @t74) % 16.22/16.45 (assume @p39 (and @t76 (tptp.aNaturalNumber0 tptp.xm) @t75)) % 16.22/16.45 (assume @p40 (forall @t18 (=> @t17 (=> (and (tptp.isPrime0 @t13) (tptp.doDivides0 @t13 @t11)) (=> (tptp.iLess0 @t15 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (tptp.doDivides0 @t13 @t1) (tptp.doDivides0 @t13 @t6))))))) % 16.22/16.45 (assume @p41 (and @t77 (tptp.doDivides0 tptp.xp (tptp.sdtasdt0 tptp.xn tptp.xm)))) % 16.22/16.45 (assume @p42 @t78) % 16.22/16.45 (assume @p43 (= tptp.xr @t79)) % 16.22/16.45 (assume @p44 (and (not (= tptp.xr tptp.xn)) (tptp.sdtlseqdt0 tptp.xr tptp.xn))) % 16.22/16.45 (assume @p45 (tptp.doDivides0 tptp.xp (tptp.sdtasdt0 tptp.xr tptp.xm))) % 16.22/16.45 (assume @p46 @t82) % 16.22/16.45 (assume @p47 (not (or @t83 @t80))) % 16.22/16.45 (assume @p48 true) % 16.22/16.45 (step @p49 :rule not_or_elim :premises (@p47) :args (0)) % 16.22/16.45 (step @p50 :rule eq-symm :args (@t85 @t86)) % 16.22/16.45 (step @p51 :rule refl :args (@t86)) % 16.22/16.45 (step @p52 :rule eq-symm :args (@t84 @t34)) % 16.22/16.45 (step @p53 :rule cong :premises (@p52 @p51) :args (@t87)) % 16.22/16.45 (step @p54 :rule trans :premises (@p53 @p50)) % 16.22/16.45 (step @p55 :rule refl :args (@t88)) % 16.22/16.45 (step @p56 :rule refl :args (@t89)) % 16.22/16.45 (step @p57 :rule refl :args (@t90)) % 16.22/16.45 (step @p58 :rule nary_cong :premises (@p57 @p56 @p55 @p54) :args (@t91)) % 16.22/16.45 (step @p59 :rule cong :premises (@p58) :args (@t93)) % 16.22/16.45 (step @p60 :rule quant-merge-prenex :args ((= (forall @t10 @t95) @t93))) % 16.22/16.45 (step @p61 :rule alpha_equiv :args (@t96 (@list @t84) (@list @t13))) % 16.22/16.45 (step @p62 :rule refl :args (@t88)) % 16.22/16.45 (step @p63 :rule refl :args (@t89)) % 16.22/16.45 (step @p64 :rule refl :args (@t90)) % 16.22/16.45 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62 @p61) :args (@t97)) % 16.22/16.45 (step @p66 :rule quant-miniscope-or :args ((= @t95 @t97))) % 16.22/16.45 (step @p67 :rule trans :premises (@p66 @p65)) % 16.22/16.45 (step @p68 :rule symm :premises (@p67)) % 16.22/16.45 (step @p69 :rule cong :premises (@p68) :args ((forall @t10 @t100))) % 16.22/16.45 (step @p70 :rule trans :premises (@p69 @p60)) % 16.22/16.45 (step @p71 :rule trans :premises (@p70 @p59)) % 16.22/16.45 (step @p72 :rule aci_norm :args ((= (or (or @t90 @t89) (or @t88 @t99)) @t100))) % 16.22/16.45 (step @p73 :rule bool-impl-elim :args (@t33 @t99)) % 16.22/16.45 (step @p74 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 16.22/16.45 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or (not @t9) @t101))) % 16.22/16.45 (step @p76 :rule trans :premises (@p75 @p72)) % 16.22/16.45 (step @p77 :rule bool-impl-elim :args (@t9 @t101)) % 16.22/16.45 (step @p78 :rule trans :premises (@p77 @p76)) % 16.22/16.45 (step @p79 :rule cong :premises (@p78) :args ((forall @t10 (=> @t9 @t101)))) % 16.22/16.45 (step @p80 :rule trans :premises (@p79 @p71)) % 16.22/16.45 (step @p81 :rule eq-symm :args (@t98 @t35)) % 16.22/16.45 (step @p82 :rule refl :args (@t35)) % 16.22/16.45 (step @p83 :rule eq-symm :args (@t24 @t6)) % 16.22/16.45 (step @p84 :rule refl :args (@t16)) % 16.22/16.45 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t31)) % 16.22/16.45 (step @p86 :rule cong :premises (@p85 @p82) :args ((= @t31 @t35))) % 16.22/16.45 (step @p87 :rule trans :premises (@p86 @p81)) % 16.22/16.45 (step @p88 :rule eq-symm :args (@t35 @t31)) % 16.22/16.45 (step @p89 :rule trans :premises (@p88 @p87)) % 16.22/16.45 (step @p90 :rule cong :premises (@p89) :args (@t36)) % 16.22/16.45 (step @p91 :rule refl :args (@t33)) % 16.22/16.45 (step @p92 :rule cong :premises (@p91 @p90) :args (@t37)) % 16.22/16.45 (step @p93 :rule refl :args (@t9)) % 16.22/16.45 (step @p94 :rule cong :premises (@p93 @p92) :args (@t38)) % 16.22/16.45 (step @p95 :rule cong :premises (@p94) :args (@t39)) % 16.22/16.45 (step @p96 :rule trans :premises (@p95 @p80)) % 16.22/16.45 (step @p97 :rule eq_resolve :premises (@p19 @p96)) % 16.22/16.45 (step @p98 :rule bool-eq-true :args (@t105)) % 16.22/16.45 (step @p99 :rule eq-symm :args (true @t105)) % 16.22/16.45 (step @p100 :rule trans :premises (@p99 @p98)) % 16.22/16.45 (step @p101 :rule refl :args (@t105)) % 16.22/16.45 (step @p102 :rule eq-refl :args (@t79)) % 16.22/16.45 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t106 @t105))) % 16.22/16.45 (step @p104 :rule trans :premises (@p103 @p100)) % 16.22/16.45 (step @p105 :rule eq-symm :args (@t105 @t106)) % 16.22/16.45 (step @p106 :rule trans :premises (@p105 @p104)) % 16.22/16.45 (step @p107 :rule refl :args (@t107)) % 16.22/16.45 (step @p108 :rule refl :args (@t108)) % 16.22/16.45 (step @p109 :rule refl :args (@t109)) % 16.22/16.45 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107 @p106) :args (@t110)) % 16.22/16.45 (step @p111 :rule refl :args (@t111)) % 16.22/16.45 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t111 @t110))) % 16.22/16.45 (assume-push @p424 @t111) % 16.22/16.45 (step @p114 :rule instantiate :premises (@p97) :args ((@list tptp.xp tptp.xn @t79))) % 16.22/16.45 (step-pop @p425 :rule scope :premises (@p114)) % 16.22/16.45 (step @p115 :rule process_scope :premises (@p425) :args (@t110)) % 16.22/16.45 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 16.22/16.45 (step @p118 :rule implies_elim :premises (@p117)) % 16.22/16.45 (step @p119 :rule chain_m_resolution :premises (@p118 @p97) :args (@t112 @t113 (@list @t111))) % 16.22/16.45 (step @p120 :rule and_elim :premises (@p39) :args (2)) % 16.22/16.45 (step @p121 :rule and_elim :premises (@p39) :args (0)) % 16.22/16.45 (step @p122 :rule cnf_or_pos :args (@t112)) % 16.22/16.45 (step @p123 :rule reordering :premises (@p122) :args ((or @t108 @t109 @t107 @t105 (not @t112)))) % 16.22/16.45 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p120 @p42 @p119) :args (@t105 (@list false false false false) (@list @t76 @t75 @t78 @t112))) % 16.22/16.45 (step @p125 :rule cnf_and_pos :args (@t105 1)) % 16.22/16.45 (step @p126 :rule reordering :premises (@p125) :args ((or @t103 @t114))) % 16.22/16.45 (step @p127 :rule chain_m_resolution :premises (@p126 @p124) :args (@t103 @t113 @t115)) % 16.22/16.45 (step @p128 :rule aci_norm :args ((= (or @t120 @t119) (or @t90 @t89 @t118 @t117 @t116 @t53)))) % 16.22/16.45 (step @p129 :rule aci_norm :args ((= (or (or @t117 @t116) @t53) @t119))) % 16.22/16.45 (step @p130 :rule refl :args (@t53)) % 16.22/16.45 (step @p131 :rule bool-and-de-morgan :args (@t49 @t52 true)) % 16.22/16.45 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or (not @t54) @t53))) % 16.22/16.45 (step @p133 :rule trans :premises (@p132 @p129)) % 16.22/16.45 (step @p134 :rule bool-impl-elim :args (@t54 @t53)) % 16.22/16.45 (step @p135 :rule trans :premises (@p134 @p133)) % 16.22/16.45 (step @p136 :rule aci_norm :args ((= (or @t90 (or @t89 @t118)) @t120))) % 16.22/16.45 (step @p137 :rule bool-and-de-morgan :args (@t8 @t16 true)) % 16.22/16.45 (step @p138 :rule nary_cong :premises (@p64 @p137) :args ((or @t90 (not @t27)))) % 16.22/16.45 (step @p139 :rule bool-and-de-morgan :args (@t2 @t8 (and @t16))) % 16.22/16.45 (step @p140 :rule trans :premises (@p139 @p138)) % 16.22/16.45 (step @p141 :rule trans :premises (@p140 @p136)) % 16.22/16.45 (step @p142 :rule nary_cong :premises (@p141 @p135) :args ((or (not @t17) @t55))) % 16.22/16.45 (step @p143 :rule trans :premises (@p142 @p128)) % 16.22/16.45 (step @p144 :rule bool-impl-elim :args (@t17 @t55)) % 16.22/16.45 (step @p145 :rule trans :premises (@p144 @p143)) % 16.22/16.45 (step @p146 :rule cong :premises (@p145) :args (@t56)) % 16.22/16.45 (step @p147 :rule eq_resolve :premises (@p33 @p146)) % 16.22/16.45 (step @p148 :rule instantiate :premises (@p147) :args ((@list tptp.xp tptp.xp @t79))) % 16.22/16.45 (step @p149 :rule cnf_and_pos :args (@t105 0)) % 16.22/16.45 (step @p150 :rule reordering :premises (@p149) :args ((or @t104 @t114))) % 16.22/16.45 (step @p151 :rule chain_m_resolution :premises (@p150 @p124) :args (@t104 @t113 @t115)) % 16.22/16.45 (step @p152 :rule bool-impl-elim :args (@t2 @t124)) % 16.22/16.45 (step @p153 :rule cong :premises (@p152) :args ((forall @t3 (=> @t2 @t124)))) % 16.22/16.45 (step @p154 :rule aci_norm :args ((= (or (or @t89 @t122) @t125) @t123))) % 16.22/16.45 (step @p155 :rule refl :args (@t125)) % 16.22/16.45 (step @p156 :rule bool-and-de-morgan :args (@t8 @t58 true)) % 16.22/16.45 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or (not @t59) @t125))) % 16.22/16.45 (step @p158 :rule trans :premises (@p157 @p154)) % 16.22/16.45 (step @p159 :rule bool-impl-elim :args (@t59 @t125)) % 16.22/16.45 (step @p160 :rule trans :premises (@p159 @p158)) % 16.22/16.45 (step @p161 :rule cong :premises (@p160) :args ((forall @t61 (=> @t59 @t125)))) % 16.22/16.45 (step @p162 :rule eq-symm :args (@t6 @t1)) % 16.22/16.45 (step @p163 :rule eq-symm :args (@t6 tptp.sz10)) % 16.22/16.45 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t57)) % 16.22/16.45 (step @p165 :rule refl :args (@t59)) % 16.22/16.45 (step @p166 :rule cong :premises (@p165 @p164) :args (@t60)) % 16.22/16.45 (step @p167 :rule cong :premises (@p166) :args (@t62)) % 16.22/16.45 (step @p168 :rule trans :premises (@p167 @p161)) % 16.22/16.45 (step @p169 :rule refl :args (@t63)) % 16.22/16.45 (step @p170 :rule refl :args (@t29)) % 16.22/16.45 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168) :args (@t64)) % 16.22/16.45 (step @p172 :rule refl :args (@t65)) % 16.22/16.45 (step @p173 :rule cong :premises (@p172 @p171) :args (@t66)) % 16.22/16.45 (step @p174 :rule refl :args (@t2)) % 16.22/16.45 (step @p175 :rule cong :premises (@p174 @p173) :args (@t67)) % 16.22/16.45 (step @p176 :rule cong :premises (@p175) :args (@t68)) % 16.22/16.45 (step @p177 :rule trans :premises (@p176 @p153)) % 16.22/16.45 (step @p178 :rule eq_resolve :premises (@p37 @p177)) % 16.22/16.45 (step @p179 :rule eq-symm :args (tptp.xp @t6)) % 16.22/16.45 (step @p180 :rule refl :args (@t121)) % 16.22/16.45 (step @p181 :rule refl :args (@t126)) % 16.22/16.45 (step @p182 :rule nary_cong :premises (@p56 @p181 @p180 @p179) :args (@t127)) % 16.22/16.45 (step @p183 :rule cong :premises (@p182) :args (@t128)) % 16.22/16.45 (step @p184 :rule eq-symm :args (tptp.xp tptp.sz10)) % 16.22/16.45 (step @p185 :rule cong :premises (@p184) :args (@t130)) % 16.22/16.45 (step @p186 :rule eq-symm :args (tptp.xp tptp.sz00)) % 16.22/16.45 (step @p187 :rule cong :premises (@p186) :args (@t132)) % 16.22/16.45 (step @p188 :rule nary_cong :premises (@p187 @p185 @p183) :args (@t133)) % 16.22/16.45 (step @p189 :rule refl :args (@t77)) % 16.22/16.45 (step @p190 :rule cong :premises (@p189 @p188) :args (@t134)) % 16.22/16.45 (step @p191 :rule nary_cong :premises (@p109 @p190) :args (@t135)) % 16.22/16.45 (step @p192 :rule refl :args (@t136)) % 16.22/16.45 (step @p193 :rule cong :premises (@p192 @p191) :args ((=> @t136 @t135))) % 16.22/16.45 (assume-push @p426 @t136) % 16.22/16.45 (step @p195 :rule instantiate :premises (@p178) :args (@t137)) % 16.22/16.45 (step-pop @p427 :rule scope :premises (@p195)) % 16.22/16.45 (step @p196 :rule process_scope :premises (@p427) :args (@t135)) % 16.22/16.45 (step @p198 :rule eq_resolve :premises (@p196 @p193)) % 16.22/16.45 (step @p199 :rule implies_elim :premises (@p198)) % 16.22/16.45 (step @p200 :rule chain_m_resolution :premises (@p199 @p178) :args (@t145 @t113 @t146)) % 16.22/16.45 (step @p201 :rule cnf_or_pos :args (@t145)) % 16.22/16.45 (step @p202 :rule reordering :premises (@p201) :args ((or @t109 @t144 (not @t145)))) % 16.22/16.45 (step @p203 :rule chain_m_resolution :premises (@p202 @p120 @p200) :args (@t144 @t147 (@list @t75 @t145))) % 16.22/16.45 (step @p204 :rule and_elim :premises (@p41) :args (0)) % 16.22/16.45 (step @p205 :rule cnf_equiv_pos1 :args (@t144)) % 16.22/16.45 (step @p206 :rule reordering :premises (@p205) :args ((or (not @t77) @t143 (not @t144)))) % 16.22/16.45 (step @p207 :rule chain_m_resolution :premises (@p206 @p204 @p203) :args (@t143 @t147 (@list @t77 @t144))) % 16.22/16.45 (step @p208 :rule cnf_and_pos :args (@t143 2)) % 16.22/16.45 (step @p209 :rule reordering :premises (@p208) :args ((or @t138 @t148))) % 16.22/16.45 (step @p210 :rule chain_m_resolution :premises (@p209 @p207) :args (@t138 @t113 @t149)) % 16.22/16.45 (step @p211 :rule eq-symm :args (@t152 tptp.xp)) % 16.22/16.45 (step @p212 :rule refl :args (@t153)) % 16.22/16.45 (step @p213 :rule refl :args (@t155)) % 16.22/16.45 (step @p214 :rule refl :args (@t157)) % 16.22/16.45 (step @p215 :rule nary_cong :premises (@p214 @p213 @p212 @p211) :args (@t158)) % 16.22/16.45 (step @p216 :rule refl :args (@t138)) % 16.22/16.45 (step @p217 :rule cong :premises (@p216 @p215) :args ((=> @t138 @t158))) % 16.22/16.45 (assume-push @p428 @t138) % 16.22/16.45 (step @p219 :rule instantiate :premises (@p210) :args ((@list @t152))) % 16.22/16.45 (step-pop @p429 :rule scope :premises (@p219)) % 16.22/16.45 (step @p220 :rule process_scope :premises (@p429) :args (@t158)) % 16.22/16.45 (step @p222 :rule eq_resolve :premises (@p220 @p217)) % 16.22/16.45 (step @p223 :rule implies_elim :premises (@p222)) % 16.22/16.45 (step @p224 :rule chain_m_resolution :premises (@p223 @p210) :args (@t160 @t113 (@list @t138))) % 16.22/16.45 (step @p225 :rule aci_norm :args ((= (or (or @t90 @t28 @t46) @t162) @t163))) % 16.22/16.45 (step @p226 :rule refl :args (@t162)) % 16.22/16.45 (step @p227 :rule bool-double-not-elim :args (@t46)) % 16.22/16.45 (step @p228 :rule bool-double-not-elim :args (@t28)) % 16.22/16.45 (step @p229 :rule nary_cong :premises (@p64 @p228 @p227) :args (@t166)) % 16.22/16.45 (step @p230 :rule aci_norm :args ((= (or @t90 (or @t165 @t164)) @t166))) % 16.22/16.45 (step @p231 :rule trans :premises (@p230 @p229)) % 16.22/16.45 (step @p232 :rule bool-and-de-morgan :args (@t29 @t63 true)) % 16.22/16.45 (step @p233 :rule nary_cong :premises (@p64 @p232) :args ((or @t90 (not (and @t29 @t63))))) % 16.22/16.45 (step @p234 :rule bool-and-de-morgan :args (@t2 @t29 (and @t63))) % 16.22/16.45 (step @p235 :rule trans :premises (@p234 @p233)) % 16.22/16.45 (step @p236 :rule trans :premises (@p235 @p231)) % 16.22/16.45 (step @p237 :rule nary_cong :premises (@p236 @p226) :args ((or (not @t72) @t162))) % 16.22/16.45 (step @p238 :rule trans :premises (@p237 @p225)) % 16.22/16.45 (step @p239 :rule bool-impl-elim :args (@t72 @t162)) % 16.22/16.45 (step @p240 :rule trans :premises (@p239 @p238)) % 16.22/16.45 (step @p241 :rule cong :premises (@p240) :args ((forall @t3 (=> @t72 @t162)))) % 16.22/16.45 (step @p242 :rule aci_norm :args ((= (or @t89 (or @t122 @t150)) @t161))) % 16.22/16.45 (step @p243 :rule bool-and-de-morgan :args (@t58 @t69 true)) % 16.22/16.45 (step @p244 :rule nary_cong :premises (@p63 @p243) :args ((or @t89 (not (and @t58 @t69))))) % 16.22/16.45 (step @p245 :rule bool-and-de-morgan :args (@t8 @t58 (and @t69))) % 16.22/16.45 (step @p246 :rule trans :premises (@p245 @p244)) % 16.22/16.45 (step @p247 :rule trans :premises (@p246 @p242)) % 16.22/16.45 (step @p248 :rule cong :premises (@p247) :args (@t167)) % 16.22/16.45 (step @p249 :rule cong :premises (@p248) :args (@t168)) % 16.22/16.45 (step @p250 :rule exists-elim :args ((= @t71 @t168))) % 16.22/16.45 (step @p251 :rule trans :premises (@p250 @p249)) % 16.22/16.45 (step @p252 :rule refl :args (@t72)) % 16.22/16.45 (step @p253 :rule cong :premises (@p252 @p251) :args (@t73)) % 16.22/16.45 (step @p254 :rule cong :premises (@p253) :args (@t74)) % 16.22/16.45 (step @p255 :rule trans :premises (@p254 @p241)) % 16.22/16.45 (step @p256 :rule eq_resolve :premises (@p38 @p255)) % 16.22/16.45 (step @p257 :rule refl :args (@t169)) % 16.22/16.45 (step @p258 :rule nary_cong :premises (@p109 @p186 @p184 @p257) :args (@t170)) % 16.22/16.45 (step @p259 :rule refl :args (@t171)) % 16.22/16.45 (step @p260 :rule cong :premises (@p259 @p258) :args ((=> @t171 @t170))) % 16.22/16.45 (assume-push @p430 @t171) % 16.22/16.45 (step @p262 :rule instantiate :premises (@p256) :args (@t137)) % 16.22/16.45 (step-pop @p431 :rule scope :premises (@p262)) % 16.22/16.45 (step @p263 :rule process_scope :premises (@p431) :args (@t170)) % 16.22/16.45 (step @p265 :rule eq_resolve :premises (@p263 @p260)) % 16.22/16.45 (step @p266 :rule implies_elim :premises (@p265)) % 16.22/16.45 (step @p267 :rule chain_m_resolution :premises (@p266 @p256) :args (@t172 @t113 (@list @t171))) % 16.22/16.45 (step @p268 :rule cnf_and_pos :args (@t143 1)) % 16.22/16.45 (step @p269 :rule reordering :premises (@p268) :args ((or @t140 @t148))) % 16.22/16.45 (step @p270 :rule chain_m_resolution :premises (@p269 @p207) :args (@t140 @t113 @t149)) % 16.22/16.45 (step @p271 :rule cnf_and_pos :args (@t143 0)) % 16.22/16.45 (step @p272 :rule reordering :premises (@p271) :args ((or @t142 @t148))) % 16.22/16.45 (step @p273 :rule chain_m_resolution :premises (@p272 @p207) :args (@t142 @t113 @t149)) % 16.22/16.45 (step @p274 :rule cnf_or_pos :args (@t172)) % 16.22/16.45 (step @p275 :rule reordering :premises (@p274) :args ((or @t109 @t141 @t139 @t169 (not @t172)))) % 16.22/16.45 (step @p276 :rule chain_m_resolution :premises (@p275 @p120 @p273 @p270 @p267) :args (@t169 (@list false true true false) (@list @t75 @t141 @t139 @t172))) % 16.22/16.45 (step @p277 :rule skolemize :premises (@p276)) % 16.22/16.45 (step @p278 :rule bool-double-not-elim :args (@t173)) % 16.22/16.45 (step @p279 :rule refl :args (@t175)) % 16.22/16.45 (step @p280 :rule nary_cong :premises (@p279 @p278) :args ((or @t175 (not @t174)))) % 16.22/16.45 (step @p281 :rule cnf_or_neg :args (@t175 2)) % 16.22/16.45 (step @p282 :rule eq_resolve :premises (@p281 @p280)) % 16.22/16.45 (step @p283 :rule reordering :premises (@p282) :args ((or @t173 @t175))) % 16.22/16.45 (step @p284 :rule chain_m_resolution :premises (@p283 @p277) :args (@t173 @t176 @t177)) % 16.22/16.45 (step @p285 :rule bool-eq-false :args (@t178)) % 16.22/16.45 (step @p286 :rule absorb :args ((= (and (not (= tptp.sz00 tptp.sz10)) false (forall @t61 @t180)) false))) % 16.22/16.45 (step @p287 :rule aci_norm :args ((= @t181 @t180))) % 16.22/16.45 (step @p288 :rule cong :premises (@p287) :args (@t182)) % 16.22/16.45 (step @p289 :rule evaluate :args ((not true))) % 16.22/16.45 (step @p290 :rule eq-refl :args (tptp.sz10)) % 16.22/16.45 (step @p291 :rule cong :premises (@p290) :args (@t183)) % 16.22/16.45 (step @p292 :rule trans :premises (@p291 @p289)) % 16.22/16.45 (step @p293 :rule eq-symm :args (tptp.sz10 tptp.sz00)) % 16.22/16.45 (step @p294 :rule cong :premises (@p293) :args (@t4)) % 16.22/16.45 (step @p295 :rule nary_cong :premises (@p294 @p292 @p288) :args (@t184)) % 16.22/16.45 (step @p296 :rule trans :premises (@p295 @p286)) % 16.22/16.45 (step @p297 :rule refl :args (@t178)) % 16.22/16.45 (step @p298 :rule cong :premises (@p297 @p296) :args (@t185)) % 16.22/16.45 (step @p299 :rule trans :premises (@p298 @p285)) % 16.22/16.45 (step @p300 :rule refl :args (@t186)) % 16.22/16.45 (step @p301 :rule nary_cong :premises (@p300 @p299) :args (@t187)) % 16.22/16.45 (step @p302 :rule cong :premises (@p192 @p301) :args ((=> @t136 @t187))) % 16.22/16.45 (assume-push @p432 @t136) % 16.22/16.45 (step @p304 :rule instantiate :premises (@p178) :args ((@list tptp.sz10))) % 16.22/16.45 (step-pop @p433 :rule scope :premises (@p304)) % 16.22/16.45 (step @p305 :rule process_scope :premises (@p433) :args (@t187)) % 16.22/16.45 (step @p307 :rule eq_resolve :premises (@p305 @p302)) % 16.22/16.45 (step @p308 :rule implies_elim :premises (@p307)) % 16.22/16.45 (step @p309 :rule chain_m_resolution :premises (@p308 @p178) :args (@t189 @t113 @t146)) % 16.22/16.45 (step @p310 :rule and_elim :premises (@p3) :args (0)) % 16.22/16.45 (step @p311 :rule cnf_or_pos :args (@t189)) % 16.22/16.45 (step @p312 :rule reordering :premises (@p311) :args ((or @t186 @t188 (not @t189)))) % 16.22/16.45 (step @p313 :rule chain_m_resolution :premises (@p312 @p310 @p309) :args (@t188 @t147 (@list @t5 @t189))) % 16.22/16.45 (step @p314 :rule refl :args (@t190)) % 16.22/16.45 (step @p315 :rule refl :args (@t174)) % 16.22/16.45 (step @p316 :rule bool-double-not-elim :args (@t178)) % 16.22/16.45 (step @p317 :rule nary_cong :premises (@p316 @p315 @p314) :args ((or (not @t188) @t174 @t190))) % 16.22/16.45 (assume-push @p434 @t188) % 16.22/16.45 (assume-push @p435 @t153) % 16.22/16.45 (assume-push @p436 @t173) % 16.22/16.45 (step @p321 :rule evaluate :args ((= true false))) % 16.22/16.45 (step @p322 :rule false_intro :premises (@p313)) % 16.22/16.45 (step @p323 :rule symm :premises (@p435)) % 16.22/16.45 (step @p324 :rule cong :premises (@p323) :args (@t173)) % 16.22/16.45 (step @p325 :rule true_intro :premises (@p284)) % 16.22/16.45 (step @p326 :rule symm :premises (@p325)) % 16.22/16.45 (step @p327 :rule trans :premises (@p326 @p324 @p322)) % 16.22/16.45 (step @p328 false :rule eq_resolve :premises (@p327 @p321)) % 16.22/16.45 (step-pop @p437 :rule scope :premises (@p328)) % 16.22/16.45 (step-pop @p438 :rule scope :premises (@p437)) % 16.22/16.45 (step-pop @p439 :rule scope :premises (@p438)) % 16.22/16.45 (step @p329 :rule process_scope :premises (@p439) :args (false)) % 16.22/16.45 (assume-push @p440 @t188) % 16.22/16.45 (assume-push @p441 @t173) % 16.22/16.45 (assume-push @p442 @t153) % 16.22/16.45 (step @p336 :rule and_intro :premises (@p313 @p442 @p284)) % 16.22/16.45 (step-pop @p443 :rule scope :premises (@p336)) % 16.22/16.45 (step-pop @p444 :rule scope :premises (@p443)) % 16.22/16.45 (step-pop @p445 :rule scope :premises (@p444)) % 16.22/16.45 (step @p337 :rule process_scope :premises (@p445) :args (@t191)) % 16.22/16.45 (step @p341 :rule implies_elim :premises (@p337)) % 16.22/16.45 (step @p342 :rule resolution :premises (@p341 @p329) :args (true @t191)) % 16.22/16.45 (step @p343 :rule not_and :premises (@p342)) % 16.22/16.45 (step @p344 :rule eq_resolve :premises (@p343 @p317)) % 16.22/16.45 (step @p345 :rule chain_m_resolution :premises (@p344 @p313 @p284) :args (@t190 (@list true false) (@list @t178 @t173))) % 16.22/16.45 (step @p346 :rule bool-double-not-elim :args (@t154)) % 16.22/16.45 (step @p347 :rule nary_cong :premises (@p279 @p346) :args ((or @t175 (not @t155)))) % 16.22/16.45 (step @p348 :rule cnf_or_neg :args (@t175 1)) % 16.22/16.45 (step @p349 :rule eq_resolve :premises (@p348 @p347)) % 16.22/16.45 (step @p350 :rule reordering :premises (@p349) :args ((or @t154 @t175))) % 16.22/16.45 (step @p351 :rule chain_m_resolution :premises (@p350 @p277) :args (@t154 @t176 @t177)) % 16.22/16.45 (step @p352 :rule bool-double-not-elim :args (@t156)) % 16.22/16.45 (step @p353 :rule nary_cong :premises (@p279 @p352) :args ((or @t175 (not @t157)))) % 16.22/16.45 (step @p354 :rule cnf_or_neg :args (@t175 0)) % 16.22/16.45 (step @p355 :rule eq_resolve :premises (@p354 @p353)) % 16.22/16.45 (step @p356 :rule reordering :premises (@p355) :args ((or @t156 @t175))) % 16.22/16.45 (step @p357 :rule chain_m_resolution :premises (@p356 @p277) :args (@t156 @t176 @t177)) % 16.22/16.45 (step @p358 :rule cnf_or_pos :args (@t160)) % 16.22/16.45 (step @p359 :rule reordering :premises (@p358) :args ((or @t157 @t155 @t153 @t159 (not @t160)))) % 16.22/16.45 (step @p360 :rule chain_m_resolution :premises (@p359 @p357 @p351 @p345 @p224) :args (@t159 (@list false false true false) (@list @t156 @t154 @t153 @t160))) % 16.22/16.45 (assume-push @p446 @t154) % 16.22/16.45 (assume-push @p447 @t159) % 16.22/16.45 (assume-push @p448 @t154) % 16.22/16.45 (assume-push @p449 @t159) % 16.22/16.45 (step @p365 :rule true_intro :premises (@p351)) % 16.22/16.45 (step @p366 :rule refl :args (tptp.xp)) % 16.22/16.45 (step @p367 :rule cong :premises (@p447 @p366) :args (@t192)) % 16.22/16.45 (step @p368 :rule trans :premises (@p367 @p365)) % 16.22/16.45 (step @p369 :rule true_elim :premises (@p368)) % 16.22/16.45 (step-pop @p450 :rule scope :premises (@p369)) % 16.22/16.45 (step-pop @p451 :rule scope :premises (@p450)) % 16.22/16.45 (step @p370 :rule process_scope :premises (@p451) :args (@t192)) % 16.22/16.45 (step @p373 :rule and_intro :premises (@p351 @p447)) % 16.22/16.45 (step @p374 :rule modus_ponens :premises (@p373 @p370)) % 16.22/16.45 (step-pop @p452 :rule scope :premises (@p374)) % 16.22/16.45 (step-pop @p453 :rule scope :premises (@p452)) % 16.22/16.45 (step @p375 :rule process_scope :premises (@p453) :args (@t192)) % 16.22/16.45 (step @p378 :rule implies_elim :premises (@p375)) % 16.22/16.45 (step @p379 :rule cnf_and_neg :args (@t193)) % 16.22/16.45 (step @p380 :rule resolution :premises (@p379 @p378) :args (true @t193)) % 16.22/16.45 (step @p381 :rule chain_m_resolution :premises (@p380 @p351 @p360) :args (@t192 @t147 (@list @t154 @t159))) % 16.22/16.45 (step @p382 :rule not_or_elim :premises (@p47) :args (1)) % 16.22/16.45 (step @p383 :rule refl :args (@t80)) % 16.22/16.45 (step @p366 :rule refl :args (tptp.xp)) % 16.22/16.45 (step @p384 :rule cong :premises (@p366 @p43) :args (@t81)) % 16.22/16.45 (step @p385 :rule nary_cong :premises (@p384 @p383) :args (@t82)) % 16.22/16.45 (step @p386 :rule eq_resolve :premises (@p46 @p385)) % 16.22/16.45 (step @p387 :rule reordering :premises (@p386) :args ((or @t80 @t194))) % 16.22/16.45 (step @p388 :rule chain_m_resolution :premises (@p387 @p382) :args (@t194 @t176 (@list @t80))) % 16.22/16.45 (step @p389 :rule cnf_or_pos :args (@t199)) % 16.22/16.45 (step @p390 :rule factoring :premises (@p389)) % 16.22/16.45 (step @p391 :rule reordering :premises (@p390) :args ((or @t109 @t196 @t197 @t198 @t195 (not @t199)))) % 16.22/16.45 (step @p392 :rule chain_m_resolution :premises (@p391 @p120 @p388 @p381 @p151 @p148) :args (@t195 (@list false false false false false) (@list @t75 @t194 @t192 @t104 @t199))) % 16.22/16.45 (step @p393 :rule refl :args (@t200)) % 16.22/16.45 (step @p394 :rule refl :args (@t201)) % 16.22/16.45 (step @p395 :rule bool-double-not-elim :args (@t83)) % 16.22/16.45 (step @p396 :rule nary_cong :premises (@p395 @p394 @p393) :args ((or (not @t202) @t201 @t200))) % 16.22/16.45 (assume-push @p454 @t195) % 16.22/16.45 (assume-push @p455 @t103) % 16.22/16.45 (assume-push @p456 @t202) % 16.22/16.45 (step @p400 :rule evaluate :args ((= false true))) % 16.22/16.45 (step @p401 :rule true_intro :premises (@p454)) % 16.22/16.45 (step @p402 :rule cong :premises (@p366 @p127) :args (@t83)) % 16.22/16.45 (step @p403 :rule false_intro :premises (@p49)) % 16.22/16.45 (step @p404 :rule symm :premises (@p403)) % 16.22/16.45 (step @p405 :rule trans :premises (@p404 @p402 @p401)) % 16.22/16.45 (step @p406 false :rule eq_resolve :premises (@p405 @p400)) % 16.22/16.45 (step-pop @p457 :rule scope :premises (@p406)) % 16.22/16.45 (step-pop @p458 :rule scope :premises (@p457)) % 16.22/16.45 (step-pop @p459 :rule scope :premises (@p458)) % 16.22/16.45 (step @p407 :rule process_scope :premises (@p459) :args (false)) % 16.22/16.45 (assume-push @p460 @t202) % 16.22/16.45 (assume-push @p461 @t103) % 16.22/16.45 (assume-push @p462 @t195) % 16.22/16.45 (step @p414 :rule and_intro :premises (@p462 @p127 @p49)) % 16.22/16.45 (step-pop @p463 :rule scope :premises (@p414)) % 16.22/16.45 (step-pop @p464 :rule scope :premises (@p463)) % 16.22/16.45 (step-pop @p465 :rule scope :premises (@p464)) % 16.22/16.45 (step @p415 :rule process_scope :premises (@p465) :args (@t203)) % 16.22/16.45 (step @p419 :rule implies_elim :premises (@p415)) % 16.22/16.45 (step @p420 :rule resolution :premises (@p419 @p407) :args (true @t203)) % 16.22/16.45 (step @p421 :rule not_and :premises (@p420)) % 16.22/16.45 (step @p422 :rule eq_resolve :premises (@p421 @p396)) % 16.22/16.45 (step @p423 false :rule chain_m_resolution :premises (@p422 @p392 @p127 @p49) :args (false (@list false false true) (@list @t195 @t103 @t83))) % 16.22/16.45 ) % 16.22/16.45 % SZS output end Proof % 16.22/16.45 % cvc5 exiting %------------------------------------------------------------------------------