%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM524+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:39:43 AM UTC 2026 % Result : Theorem 16.23s 16.45s % Output : Proof 16.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM524+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n011.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 11:26:50 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 16.23/16.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.23/16.45 --- Run --no-e-matching --full-saturate-quant at 6... % 16.23/16.45 % SZS status Theorem % 16.23/16.45 % SZS output start Proof % 16.23/16.45 ( % 16.23/16.45 (declare-sort $$unsorted 0) % 16.23/16.45 (declare-const tptp.xq $$unsorted) % 16.23/16.45 (declare-const tptp.xp $$unsorted) % 16.23/16.45 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 16.23/16.45 (declare-const tptp.sz10 $$unsorted) % 16.23/16.45 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.23/16.45 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 16.23/16.45 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 16.23/16.45 (declare-const tptp.sz00 $$unsorted) % 16.23/16.45 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.23/16.45 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.23/16.45 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 16.23/16.45 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 16.23/16.45 (declare-const tptp.xn $$unsorted) % 16.23/16.45 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 16.23/16.45 (declare-const tptp.xm $$unsorted) % 16.23/16.45 (define @t1 () (@var "W0" $$unsorted)) % 16.23/16.45 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 16.23/16.45 (define @t3 () (@list @t1)) % 16.23/16.45 (define @t4 () (tptp.aNaturalNumber0 tptp.sz10)) % 16.23/16.45 (define @t5 () (@var "W1" $$unsorted)) % 16.23/16.45 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 16.23/16.45 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 16.23/16.45 (define @t8 () (and @t2 @t7)) % 16.23/16.45 (define @t9 () (@list @t1 @t5)) % 16.23/16.45 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 16.23/16.45 (define @t11 () (tptp.aNaturalNumber0 @t10)) % 16.23/16.45 (define @t12 () (forall @t9 (=> @t8 @t11))) % 16.23/16.45 (define @t13 () (tptp.sdtpldt0 @t5 @t1)) % 16.23/16.45 (define @t14 () (@var "W2" $$unsorted)) % 16.23/16.45 (define @t15 () (tptp.sdtpldt0 @t5 @t14)) % 16.23/16.45 (define @t16 () (tptp.aNaturalNumber0 @t14)) % 16.23/16.45 (define @t17 () (and @t2 @t7 @t16)) % 16.23/16.45 (define @t18 () (@list @t1 @t5 @t14)) % 16.23/16.45 (define @t19 () (tptp.sdtasdt0 @t5 @t1)) % 16.23/16.45 (define @t20 () (= @t10 @t19)) % 16.23/16.45 (define @t21 () (forall @t9 (=> @t8 @t20))) % 16.23/16.45 (define @t22 () (= (tptp.sdtasdt0 @t10 @t14) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t14)))) % 16.23/16.45 (define @t23 () (forall @t18 (=> @t17 @t22))) % 16.23/16.45 (define @t24 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1))) % 16.23/16.45 (define @t25 () (tptp.sdtasdt0 @t1 tptp.sz10)) % 16.23/16.45 (define @t26 () (and (= @t25 @t1) @t24)) % 16.23/16.45 (define @t27 () (=> @t2 @t26)) % 16.23/16.45 (define @t28 () (forall @t3 @t27)) % 16.23/16.45 (define @t29 () (tptp.sdtasdt0 @t14 @t1)) % 16.23/16.45 (define @t30 () (tptp.sdtasdt0 @t1 @t14)) % 16.23/16.45 (define @t31 () (= @t5 @t14)) % 16.23/16.45 (define @t32 () (tptp.sdtpldt0 @t14 @t1)) % 16.23/16.45 (define @t33 () (tptp.sdtpldt0 @t1 @t14)) % 16.23/16.45 (define @t34 () (= @t19 @t29)) % 16.23/16.45 (define @t35 () (= @t10 @t30)) % 16.23/16.45 (define @t36 () (and @t7 @t16)) % 16.23/16.45 (define @t37 () (= @t1 tptp.sz00)) % 16.23/16.45 (define @t38 () (not @t37)) % 16.23/16.45 (define @t39 () (= @t5 tptp.sz00)) % 16.23/16.45 (define @t40 () (and @t16 (= @t33 @t5))) % 16.23/16.45 (define @t41 () (@list @t14)) % 16.23/16.45 (define @t42 () (tptp.sdtlseqdt0 @t1 @t5)) % 16.23/16.45 (define @t43 () (= @t1 @t5)) % 16.23/16.45 (define @t44 () (tptp.sdtlseqdt0 @t5 @t1)) % 16.23/16.45 (define @t45 () (tptp.sdtlseqdt0 @t5 @t14)) % 16.23/16.45 (define @t46 () (= @t5 @t1)) % 16.23/16.45 (define @t47 () (tptp.sdtpldt0 @t14 @t5)) % 16.23/16.45 (define @t48 () (and (not @t43) @t42)) % 16.23/16.45 (define @t49 () (= @t1 tptp.sz10)) % 16.23/16.45 (define @t50 () (tptp.iLess0 @t1 @t5)) % 16.23/16.45 (define @t51 () (and @t16 (= @t5 @t30))) % 16.23/16.45 (define @t52 () (tptp.doDivides0 @t1 @t5)) % 16.23/16.45 (define @t53 () (tptp.sdtsldt0 @t5 @t1)) % 16.23/16.45 (define @t54 () (= @t14 @t53)) % 16.23/16.45 (define @t55 () (forall @t41 (= @t54 @t51))) % 16.23/16.45 (define @t56 () (and @t38 @t52)) % 16.23/16.45 (define @t57 () (=> @t56 @t55)) % 16.23/16.45 (define @t58 () (=> @t8 @t57)) % 16.23/16.45 (define @t59 () (forall @t9 @t58)) % 16.23/16.45 (define @t60 () (tptp.doDivides0 @t1 @t14)) % 16.23/16.45 (define @t61 () (tptp.doDivides0 @t1 @t15)) % 16.23/16.45 (define @t62 () (not @t39)) % 16.23/16.45 (define @t63 () (= (tptp.sdtasdt0 @t14 @t53) (tptp.sdtsldt0 (tptp.sdtasdt0 @t14 @t5) @t1))) % 16.23/16.45 (define @t64 () (forall @t41 (=> @t16 @t63))) % 16.23/16.45 (define @t65 () (=> @t56 @t64)) % 16.23/16.45 (define @t66 () (=> @t8 @t65)) % 16.23/16.45 (define @t67 () (forall @t9 @t66)) % 16.23/16.45 (define @t68 () (tptp.doDivides0 @t5 @t1)) % 16.23/16.45 (define @t69 () (@list @t5)) % 16.23/16.45 (define @t70 () (not @t49)) % 16.23/16.45 (define @t71 () (tptp.isPrime0 @t14)) % 16.23/16.45 (define @t72 () (= tptp.xp tptp.sz00)) % 16.23/16.45 (define @t73 () (tptp.aNaturalNumber0 tptp.xp)) % 16.23/16.45 (define @t74 () (tptp.aNaturalNumber0 tptp.xm)) % 16.23/16.45 (define @t75 () (tptp.aNaturalNumber0 tptp.xn)) % 16.23/16.45 (define @t76 () (tptp.sdtasdt0 tptp.xn tptp.xn)) % 16.23/16.45 (define @t77 () (tptp.sdtasdt0 tptp.xm tptp.xm)) % 16.23/16.45 (define @t78 () (tptp.sdtasdt0 tptp.xp @t77)) % 16.23/16.45 (define @t79 () (= @t78 @t76)) % 16.23/16.45 (define @t80 () (tptp.doDivides0 tptp.xp tptp.xn)) % 16.23/16.45 (define @t81 () (tptp.sdtsldt0 tptp.xn tptp.xp)) % 16.23/16.45 (define @t82 () (tptp.sdtasdt0 tptp.xq tptp.xq)) % 16.23/16.45 (define @t83 () (tptp.sdtasdt0 tptp.xp @t82)) % 16.23/16.45 (define @t84 () (= @t77 @t83)) % 16.23/16.45 (define @t85 () (not @t84)) % 16.23/16.45 (define @t86 () (@var "BOUND_VARIABLE_8064" $$unsorted)) % 16.23/16.45 (define @t87 () (= (tptp.sdtasdt0 @t86 @t53) (tptp.sdtsldt0 (tptp.sdtasdt0 @t86 @t5) @t1))) % 16.23/16.45 (define @t88 () (not (tptp.aNaturalNumber0 @t86))) % 16.23/16.45 (define @t89 () (not @t52)) % 16.23/16.45 (define @t90 () (not @t7)) % 16.23/16.45 (define @t91 () (not @t2)) % 16.23/16.45 (define @t92 () (or @t91 @t90 @t37 @t89 @t88 @t87)) % 16.23/16.45 (define @t93 () (or @t88 @t87)) % 16.23/16.45 (define @t94 () (or @t91 @t90 @t37 @t89 @t93)) % 16.23/16.45 (define @t95 () (@list @t1 @t5 @t86)) % 16.23/16.45 (define @t96 () (forall @t95 @t94)) % 16.23/16.45 (define @t97 () (@list @t86)) % 16.23/16.45 (define @t98 () (forall @t97 @t94)) % 16.23/16.45 (define @t99 () (forall @t97 @t93)) % 16.23/16.45 (define @t100 () (@list @t14)) % 16.23/16.45 (define @t101 () (or @t91 @t90 @t37 @t89 @t99)) % 16.23/16.45 (define @t102 () (not @t16)) % 16.23/16.45 (define @t103 () (forall @t41 (or @t102 @t63))) % 16.23/16.45 (define @t104 () (or @t91 @t90 @t37 @t89 @t103)) % 16.23/16.45 (define @t105 () (or @t37 @t89 @t103)) % 16.23/16.45 (define @t106 () (or @t91 @t90)) % 16.23/16.45 (define @t107 () (or @t37 @t89)) % 16.23/16.45 (define @t108 () (not @t56)) % 16.23/16.45 (define @t109 () (=> @t56 @t103)) % 16.23/16.45 (define @t110 () (not @t8)) % 16.23/16.45 (define @t111 () (tptp.sdtsldt0 @t76 tptp.xp)) % 16.23/16.45 (define @t112 () (= (tptp.sdtasdt0 tptp.xn @t81) @t111)) % 16.23/16.45 (define @t113 () (not @t75)) % 16.23/16.45 (define @t114 () (not @t80)) % 16.23/16.45 (define @t115 () (not @t73)) % 16.23/16.45 (define @t116 () (or @t115 @t113 @t72 @t114 @t113 @t112)) % 16.23/16.45 (define @t117 () (forall @t95 @t92)) % 16.23/16.45 (define @t118 () (= tptp.sz00 tptp.xp)) % 16.23/16.45 (define @t119 () (or @t115 @t113 @t118 @t114 @t113 @t112)) % 16.23/16.45 (define @t120 () (@list false)) % 16.23/16.45 (define @t121 () (@list true false false false false)) % 16.23/16.45 (define @t122 () (@list tptp.sz10 @t78)) % 16.23/16.45 (define @t123 () (tptp.aNaturalNumber0 @t77)) % 16.23/16.45 (define @t124 () (not @t74)) % 16.23/16.45 (define @t125 () (or @t124 @t124 @t123)) % 16.23/16.45 (define @t126 () (@list false false)) % 16.23/16.45 (define @t127 () (tptp.aNaturalNumber0 @t78)) % 16.23/16.45 (define @t128 () (not @t123)) % 16.23/16.45 (define @t129 () (or @t115 @t128 @t127)) % 16.23/16.45 (define @t130 () (@list false false false)) % 16.23/16.45 (define @t131 () (tptp.sdtasdt0 @t78 tptp.sz10)) % 16.23/16.45 (define @t132 () (tptp.sdtasdt0 tptp.sz10 @t78)) % 16.23/16.45 (define @t133 () (= @t132 @t131)) % 16.23/16.45 (define @t134 () (not @t127)) % 16.23/16.45 (define @t135 () (not @t4)) % 16.23/16.45 (define @t136 () (or @t135 @t134 @t133)) % 16.23/16.45 (define @t137 () (and (= @t1 @t25) @t24)) % 16.23/16.45 (define @t138 () (= @t78 @t132)) % 16.23/16.45 (define @t139 () (= @t78 @t131)) % 16.23/16.45 (define @t140 () (and @t139 @t138)) % 16.23/16.45 (define @t141 () (or @t134 @t140)) % 16.23/16.45 (define @t142 () (not @t140)) % 16.23/16.45 (define @t143 () (@list @t140)) % 16.23/16.45 (define @t144 () (@var "BOUND_VARIABLE_8008" $$unsorted)) % 16.23/16.45 (define @t145 () (and (tptp.aNaturalNumber0 @t144) (= @t5 (tptp.sdtasdt0 @t1 @t144)))) % 16.23/16.45 (define @t146 () (= @t145 (= @t144 @t53))) % 16.23/16.45 (define @t147 () (or @t91 @t90 @t37 @t89 @t146)) % 16.23/16.45 (define @t148 () (@list @t1 @t5 @t144)) % 16.23/16.45 (define @t149 () (forall @t148 @t147)) % 16.23/16.45 (define @t150 () (@list @t144)) % 16.23/16.45 (define @t151 () (forall @t150 @t147)) % 16.23/16.45 (define @t152 () (forall @t150 @t146)) % 16.23/16.45 (define @t153 () (or @t91 @t90 @t37 @t89 @t152)) % 16.23/16.45 (define @t154 () (forall @t41 (= @t51 @t54))) % 16.23/16.45 (define @t155 () (or @t91 @t90 @t37 @t89 @t154)) % 16.23/16.45 (define @t156 () (or @t37 @t89 @t154)) % 16.23/16.45 (define @t157 () (=> @t56 @t154)) % 16.23/16.45 (define @t158 () (tptp.sdtsldt0 @t132 tptp.xp)) % 16.23/16.45 (define @t159 () (and @t123 (= @t132 @t78))) % 16.23/16.45 (define @t160 () (= @t159 (= @t158 @t77))) % 16.23/16.45 (define @t161 () (tptp.doDivides0 tptp.xp @t132)) % 16.23/16.45 (define @t162 () (not @t161)) % 16.23/16.45 (define @t163 () (tptp.aNaturalNumber0 @t132)) % 16.23/16.45 (define @t164 () (not @t163)) % 16.23/16.45 (define @t165 () (or @t115 @t164 @t72 @t162 @t160)) % 16.23/16.45 (define @t166 () (forall @t148 (or @t91 @t90 @t37 @t89 (= @t145 (= @t53 @t144))))) % 16.23/16.45 (define @t167 () (= @t77 @t158)) % 16.23/16.45 (define @t168 () (and @t123 @t138)) % 16.23/16.45 (define @t169 () (= @t168 @t167)) % 16.23/16.45 (define @t170 () (or @t115 @t164 @t118 @t162 @t169)) % 16.23/16.45 (define @t171 () (@list @t166)) % 16.23/16.45 (define @t172 () (or @t135 @t134 @t163)) % 16.23/16.45 (define @t173 () (= tptp.xn (tptp.sdtasdt0 tptp.xp @t81))) % 16.23/16.45 (define @t174 () (tptp.aNaturalNumber0 @t81)) % 16.23/16.45 (define @t175 () (and @t174 @t173)) % 16.23/16.45 (define @t176 () (= @t81 @t81)) % 16.23/16.45 (define @t177 () (or @t115 @t113 @t72 @t114 (= @t175 @t176))) % 16.23/16.45 (define @t178 () (or @t115 @t113 @t118 @t114 @t175)) % 16.23/16.45 (define @t179 () (not @t175)) % 16.23/16.45 (define @t180 () (@list @t175)) % 16.23/16.45 (define @t181 () (@list tptp.sz10 @t81)) % 16.23/16.45 (define @t182 () (tptp.sdtasdt0 @t81 tptp.sz10)) % 16.23/16.45 (define @t183 () (tptp.sdtasdt0 tptp.sz10 @t81)) % 16.23/16.45 (define @t184 () (= @t183 @t182)) % 16.23/16.45 (define @t185 () (not @t174)) % 16.23/16.45 (define @t186 () (or @t135 @t185 @t184)) % 16.23/16.45 (define @t187 () (= @t81 @t182)) % 16.23/16.45 (define @t188 () (and @t187 (= @t81 @t183))) % 16.23/16.45 (define @t189 () (or @t185 @t188)) % 16.23/16.45 (define @t190 () (or @t91 @t90 @t102)) % 16.23/16.45 (define @t191 () (tptp.aNaturalNumber0 @t183)) % 16.23/16.45 (define @t192 () (or @t135 @t185 @t191)) % 16.23/16.45 (define @t193 () (tptp.sdtasdt0 @t183 @t183)) % 16.23/16.45 (define @t194 () (tptp.sdtasdt0 tptp.xp @t193)) % 16.23/16.45 (define @t195 () (tptp.sdtasdt0 tptp.xp @t183)) % 16.23/16.45 (define @t196 () (tptp.sdtasdt0 @t195 @t183)) % 16.23/16.45 (define @t197 () (= @t196 @t194)) % 16.23/16.45 (define @t198 () (not @t191)) % 16.23/16.45 (define @t199 () (or @t115 @t198 @t198 @t197)) % 16.23/16.45 (define @t200 () (not @t197)) % 16.23/16.45 (define @t201 () (not @t173)) % 16.23/16.45 (define @t202 () (not @t187)) % 16.23/16.45 (define @t203 () (not @t184)) % 16.23/16.45 (define @t204 () (not @t167)) % 16.23/16.45 (define @t205 () (not @t139)) % 16.23/16.45 (define @t206 () (not @t133)) % 16.23/16.45 (define @t207 () (not @t112)) % 16.23/16.45 (define @t208 () (= @t77 (tptp.sdtasdt0 tptp.xp (tptp.sdtasdt0 @t81 @t81)))) % 16.23/16.45 (define @t209 () (not @t79)) % 16.23/16.45 (define @t210 () (not @t208)) % 16.23/16.45 (define @t211 () (and @t197 @t200)) % 16.23/16.45 (assume @p1 (forall @t3 (=> @t2 true))) % 16.23/16.45 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 16.23/16.45 (assume @p3 (and @t4 (not (= tptp.sz10 tptp.sz00)))) % 16.23/16.45 (assume @p4 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t6)))) % 16.23/16.45 (assume @p5 @t12) % 16.23/16.45 (assume @p6 (forall @t9 (=> @t8 (= @t6 @t13)))) % 16.23/16.45 (assume @p7 (forall @t18 (=> @t17 (= (tptp.sdtpldt0 @t6 @t14) (tptp.sdtpldt0 @t1 @t15))))) % 16.23/16.45 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 16.23/16.45 (assume @p9 @t21) % 16.23/16.45 (assume @p10 @t23) % 16.23/16.45 (assume @p11 @t28) % 16.23/16.45 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 16.23/16.45 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t15) (tptp.sdtpldt0 @t10 @t30)) (= (tptp.sdtasdt0 @t15 @t1) (tptp.sdtpldt0 @t19 @t29)))))) % 16.23/16.45 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t6 @t33) (= @t13 @t32)) @t31)))) % 16.23/16.45 (assume @p15 (forall @t3 (=> @t2 (=> @t38 (forall (@list @t5 @t14) (=> @t36 (=> (or @t35 @t34) @t31))))))) % 16.23/16.45 (assume @p16 (forall @t9 (=> @t8 (=> (= @t6 tptp.sz00) (and @t37 @t39))))) % 16.23/16.45 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t37 @t39))))) % 16.23/16.45 (assume @p18 (forall @t9 (=> @t8 (= @t42 (exists @t41 @t40))))) % 16.23/16.45 (assume @p19 (forall @t9 (=> @t8 (=> @t42 (forall @t41 (= (= @t14 (tptp.sdtmndt0 @t5 @t1)) @t40)))))) % 16.23/16.45 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 16.23/16.45 (assume @p21 (forall @t9 (=> @t8 (=> (and @t42 @t44) @t43)))) % 16.23/16.45 (assume @p22 (forall @t18 (=> @t17 (=> (and @t42 @t45) (tptp.sdtlseqdt0 @t1 @t14))))) % 16.23/16.45 (assume @p23 (forall @t9 (=> @t8 (or @t42 (and (not @t46) @t44))))) % 16.23/16.45 (assume @p24 (forall @t9 (=> @t8 (=> @t48 (forall @t41 (=> @t16 (and (not (= @t32 @t47)) (tptp.sdtlseqdt0 @t32 @t47) (not (= @t33 @t15)) (tptp.sdtlseqdt0 @t33 @t15)))))))) % 16.23/16.45 (assume @p25 (forall @t18 (=> @t17 (=> (and @t38 (not @t31) @t45) (and (not @t35) (tptp.sdtlseqdt0 @t10 @t30) (not @t34) (tptp.sdtlseqdt0 @t19 @t29)))))) % 16.23/16.45 (assume @p26 (forall @t3 (=> @t2 (or @t37 @t49 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 16.23/16.45 (assume @p27 (forall @t9 (=> @t8 (=> @t38 (tptp.sdtlseqdt0 @t5 @t19))))) % 16.23/16.45 (assume @p28 (forall @t9 (=> @t8 (=> @t50 true)))) % 16.23/16.45 (assume @p29 (forall @t9 (=> @t8 (=> @t48 @t50)))) % 16.23/16.45 (assume @p30 (forall @t9 (=> @t8 (= @t52 (exists @t41 @t51))))) % 16.23/16.45 (assume @p31 @t59) % 16.23/16.45 (assume @p32 (forall @t18 (=> @t17 (=> (and @t52 (tptp.doDivides0 @t5 @t14)) @t60)))) % 16.23/16.45 (assume @p33 (forall @t18 (=> @t17 (=> (and @t52 @t60) @t61)))) % 16.23/16.45 (assume @p34 (forall @t18 (=> @t17 (=> (and @t52 @t61) @t60)))) % 16.23/16.45 (assume @p35 (forall @t9 (=> @t8 (=> (and @t52 @t62) @t42)))) % 16.23/16.45 (assume @p36 @t67) % 16.23/16.45 (assume @p37 (forall @t3 (=> @t2 (= (tptp.isPrime0 @t1) (and @t38 @t70 (forall @t69 (=> (and @t7 @t68) (or (= @t5 tptp.sz10) @t46)))))))) % 16.23/16.45 (assume @p38 (forall @t3 (=> (and @t2 @t38 @t70) (exists @t69 (and @t7 @t68 (tptp.isPrime0 @t5)))))) % 16.23/16.45 (assume @p39 (forall @t18 (=> @t17 (=> (and @t71 (tptp.doDivides0 @t14 @t10)) (or (tptp.doDivides0 @t14 @t1) (tptp.doDivides0 @t14 @t5)))))) % 16.23/16.45 (assume @p40 (and @t75 @t74 @t73 (not (= tptp.xn tptp.sz00)) (not (= tptp.xm tptp.sz00)) (not @t72))) % 16.23/16.45 (assume @p41 (forall @t18 (=> (and @t2 @t7 @t16 @t38 @t62 (not (= @t14 tptp.sz00))) (=> (= (tptp.sdtasdt0 @t14 (tptp.sdtasdt0 @t5 @t5)) (tptp.sdtasdt0 @t1 @t1)) (=> (tptp.iLess0 @t1 tptp.xn) (not @t71)))))) % 16.23/16.45 (assume @p42 @t79) % 16.23/16.45 (assume @p43 (tptp.isPrime0 tptp.xp)) % 16.23/16.45 (assume @p44 (and (tptp.doDivides0 tptp.xp @t76) @t80)) % 16.23/16.45 (assume @p45 (= tptp.xq @t81)) % 16.23/16.45 (assume @p46 @t85) % 16.23/16.45 (assume @p47 true) % 16.23/16.45 (step @p48 :rule cong :premises (@p45 @p45) :args (@t82)) % 16.23/16.45 (step @p49 :rule refl :args (tptp.xp)) % 16.23/16.45 (step @p50 :rule cong :premises (@p49 @p48) :args (@t83)) % 16.23/16.45 (step @p51 :rule refl :args (@t77)) % 16.23/16.45 (step @p52 :rule cong :premises (@p51 @p50) :args (@t84)) % 16.23/16.45 (step @p53 :rule cong :premises (@p52) :args (@t85)) % 16.23/16.45 (step @p54 :rule eq_resolve :premises (@p46 @p53)) % 16.23/16.45 (step @p55 :rule aci_norm :args ((= @t94 @t92))) % 16.23/16.45 (step @p56 :rule cong :premises (@p55) :args (@t96)) % 16.23/16.45 (step @p57 :rule quant-merge-prenex :args ((= (forall @t9 @t98) @t96))) % 16.23/16.45 (step @p58 :rule alpha_equiv :args (@t99 (@list @t86) @t100)) % 16.23/16.45 (step @p59 :rule refl :args (@t89)) % 16.23/16.45 (step @p60 :rule refl :args (@t37)) % 16.23/16.45 (step @p61 :rule refl :args (@t90)) % 16.23/16.45 (step @p62 :rule refl :args (@t91)) % 16.23/16.45 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60 @p59 @p58) :args (@t101)) % 16.23/16.45 (step @p64 :rule quant-miniscope-or :args ((= @t98 @t101))) % 16.23/16.45 (step @p65 :rule trans :premises (@p64 @p63)) % 16.23/16.45 (step @p66 :rule symm :premises (@p65)) % 16.23/16.45 (step @p67 :rule cong :premises (@p66) :args ((forall @t9 @t104))) % 16.23/16.45 (step @p68 :rule trans :premises (@p67 @p57)) % 16.23/16.45 (step @p69 :rule trans :premises (@p68 @p56)) % 16.23/16.45 (step @p70 :rule aci_norm :args ((= (or @t106 @t105) @t104))) % 16.23/16.45 (step @p71 :rule aci_norm :args ((= (or @t107 @t103) @t105))) % 16.23/16.45 (step @p72 :rule refl :args (@t103)) % 16.23/16.45 (step @p73 :rule bool-double-not-elim :args (@t37)) % 16.23/16.45 (step @p74 :rule nary_cong :premises (@p73 @p59) :args ((or (not @t38) @t89))) % 16.23/16.45 (step @p75 :rule bool-and-de-morgan :args (@t38 @t52 true)) % 16.23/16.45 (step @p76 :rule trans :premises (@p75 @p74)) % 16.23/16.45 (step @p77 :rule nary_cong :premises (@p76 @p72) :args ((or @t108 @t103))) % 16.23/16.45 (step @p78 :rule trans :premises (@p77 @p71)) % 16.23/16.45 (step @p79 :rule bool-impl-elim :args (@t56 @t103)) % 16.23/16.45 (step @p80 :rule trans :premises (@p79 @p78)) % 16.23/16.45 (step @p81 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 16.23/16.45 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t110 @t109))) % 16.23/16.45 (step @p83 :rule trans :premises (@p82 @p70)) % 16.23/16.45 (step @p84 :rule bool-impl-elim :args (@t8 @t109)) % 16.23/16.45 (step @p85 :rule trans :premises (@p84 @p83)) % 16.23/16.45 (step @p86 :rule cong :premises (@p85) :args ((forall @t9 (=> @t8 @t109)))) % 16.23/16.45 (step @p87 :rule trans :premises (@p86 @p69)) % 16.23/16.45 (step @p88 :rule bool-impl-elim :args (@t16 @t63)) % 16.23/16.45 (step @p89 :rule cong :premises (@p88) :args (@t64)) % 16.23/16.45 (step @p90 :rule refl :args (@t56)) % 16.23/16.45 (step @p91 :rule cong :premises (@p90 @p89) :args (@t65)) % 16.23/16.45 (step @p92 :rule refl :args (@t8)) % 16.23/16.45 (step @p93 :rule cong :premises (@p92 @p91) :args (@t66)) % 16.23/16.45 (step @p94 :rule cong :premises (@p93) :args (@t67)) % 16.23/16.45 (step @p95 :rule trans :premises (@p94 @p87)) % 16.23/16.45 (step @p96 :rule eq_resolve :premises (@p36 @p95)) % 16.23/16.45 (step @p97 :rule refl :args (@t112)) % 16.23/16.45 (step @p98 :rule refl :args (@t113)) % 16.23/16.45 (step @p99 :rule refl :args (@t114)) % 16.23/16.45 (step @p100 :rule eq-symm :args (tptp.xp tptp.sz00)) % 16.23/16.45 (step @p101 :rule refl :args (@t115)) % 16.23/16.45 (step @p102 :rule nary_cong :premises (@p101 @p98 @p100 @p99 @p98 @p97) :args (@t116)) % 16.23/16.45 (step @p103 :rule refl :args (@t117)) % 16.23/16.45 (step @p104 :rule cong :premises (@p103 @p102) :args ((=> @t117 @t116))) % 16.23/16.45 (assume-push @p377 @t117) % 16.23/16.45 (step @p106 :rule instantiate :premises (@p96) :args ((@list tptp.xp tptp.xn tptp.xn))) % 16.23/16.45 (step-pop @p378 :rule scope :premises (@p106)) % 16.23/16.45 (step @p107 :rule process_scope :premises (@p378) :args (@t116)) % 16.23/16.45 (step @p109 :rule eq_resolve :premises (@p107 @p104)) % 16.23/16.45 (step @p110 :rule implies_elim :premises (@p109)) % 16.23/16.45 (step @p111 :rule chain_m_resolution :premises (@p110 @p96) :args (@t119 @t120 (@list @t117))) % 16.23/16.45 (step @p112 :rule and_elim :premises (@p44) :args (1)) % 16.23/16.45 (step @p113 :rule and_elim :premises (@p40) :args (2)) % 16.23/16.45 (step @p114 :rule and_elim :premises (@p40) :args (0)) % 16.23/16.45 (step @p115 :rule and_elim :premises (@p40) :args (5)) % 16.23/16.45 (step @p116 :rule symm :premises (@p115)) % 16.23/16.45 (step @p117 :rule cnf_or_pos :args (@t119)) % 16.23/16.45 (step @p118 :rule factoring :premises (@p117)) % 16.23/16.45 (step @p119 :rule reordering :premises (@p118) :args ((or @t118 @t113 @t115 @t114 @t112 (not @t119)))) % 16.23/16.45 (step @p120 :rule chain_m_resolution :premises (@p119 @p116 @p114 @p113 @p112 @p111) :args (@t112 @t121 (@list @t118 @t75 @t73 @t80 @t119))) % 16.23/16.45 (step @p121 :rule aci_norm :args ((= (or @t106 @t20) (or @t91 @t90 @t20)))) % 16.23/16.45 (step @p122 :rule refl :args (@t20)) % 16.23/16.45 (step @p123 :rule nary_cong :premises (@p81 @p122) :args ((or @t110 @t20))) % 16.23/16.45 (step @p124 :rule trans :premises (@p123 @p121)) % 16.23/16.45 (step @p125 :rule bool-impl-elim :args (@t8 @t20)) % 16.23/16.45 (step @p126 :rule trans :premises (@p125 @p124)) % 16.23/16.45 (step @p127 :rule cong :premises (@p126) :args (@t21)) % 16.23/16.45 (step @p128 :rule eq_resolve :premises (@p9 @p127)) % 16.23/16.45 (step @p129 :rule instantiate :premises (@p128) :args (@t122)) % 16.23/16.45 (step @p130 :rule aci_norm :args ((= (or @t106 @t11) (or @t91 @t90 @t11)))) % 16.23/16.45 (step @p131 :rule refl :args (@t11)) % 16.23/16.45 (step @p132 :rule nary_cong :premises (@p81 @p131) :args ((or @t110 @t11))) % 16.23/16.45 (step @p133 :rule trans :premises (@p132 @p130)) % 16.23/16.45 (step @p134 :rule bool-impl-elim :args (@t8 @t11)) % 16.23/16.45 (step @p135 :rule trans :premises (@p134 @p133)) % 16.23/16.45 (step @p136 :rule cong :premises (@p135) :args (@t12)) % 16.23/16.45 (step @p137 :rule eq_resolve :premises (@p5 @p136)) % 16.23/16.45 (step @p138 :rule instantiate :premises (@p137) :args ((@list tptp.xp @t77))) % 16.23/16.45 (step @p139 :rule instantiate :premises (@p137) :args ((@list tptp.xm tptp.xm))) % 16.23/16.45 (step @p140 :rule and_elim :premises (@p40) :args (1)) % 16.23/16.45 (step @p141 :rule cnf_or_pos :args (@t125)) % 16.23/16.45 (step @p142 :rule factoring :premises (@p141)) % 16.23/16.45 (step @p143 :rule reordering :premises (@p142) :args ((or @t124 @t123 (not @t125)))) % 16.23/16.45 (step @p144 :rule chain_m_resolution :premises (@p143 @p140 @p139) :args (@t123 @t126 (@list @t74 @t125))) % 16.23/16.45 (step @p145 :rule cnf_or_pos :args (@t129)) % 16.23/16.45 (step @p146 :rule reordering :premises (@p145) :args ((or @t115 @t128 @t127 (not @t129)))) % 16.23/16.45 (step @p147 :rule chain_m_resolution :premises (@p146 @p113 @p144 @p138) :args (@t127 @t130 (@list @t73 @t123 @t129))) % 16.23/16.45 (step @p148 :rule and_elim :premises (@p3) :args (0)) % 16.23/16.45 (step @p149 :rule cnf_or_pos :args (@t136)) % 16.23/16.45 (step @p150 :rule reordering :premises (@p149) :args ((or @t135 @t134 @t133 (not @t136)))) % 16.23/16.45 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p147 @p129) :args (@t133 @t130 (@list @t4 @t127 @t136))) % 16.23/16.45 (step @p152 :rule bool-impl-elim :args (@t2 @t137)) % 16.23/16.45 (step @p153 :rule cong :premises (@p152) :args ((forall @t3 (=> @t2 @t137)))) % 16.23/16.45 (step @p154 :rule refl :args (@t24)) % 16.23/16.45 (step @p155 :rule eq-symm :args (@t25 @t1)) % 16.23/16.45 (step @p156 :rule nary_cong :premises (@p155 @p154) :args (@t26)) % 16.23/16.45 (step @p157 :rule refl :args (@t2)) % 16.23/16.45 (step @p158 :rule cong :premises (@p157 @p156) :args (@t27)) % 16.23/16.45 (step @p159 :rule cong :premises (@p158) :args (@t28)) % 16.23/16.45 (step @p160 :rule trans :premises (@p159 @p153)) % 16.23/16.45 (step @p161 :rule eq_resolve :premises (@p11 @p160)) % 16.23/16.45 (step @p162 :rule instantiate :premises (@p161) :args ((@list @t78))) % 16.23/16.45 (step @p163 :rule cnf_or_pos :args (@t141)) % 16.23/16.45 (step @p164 :rule reordering :premises (@p163) :args ((or @t134 @t140 (not @t141)))) % 16.23/16.45 (step @p165 :rule chain_m_resolution :premises (@p164 @p147 @p162) :args (@t140 @t126 (@list @t127 @t141))) % 16.23/16.45 (step @p166 :rule cnf_and_pos :args (@t140 0)) % 16.23/16.45 (step @p167 :rule reordering :premises (@p166) :args ((or @t139 @t142))) % 16.23/16.45 (step @p168 :rule chain_m_resolution :premises (@p167 @p165) :args (@t139 @t120 @t143)) % 16.23/16.45 (step @p169 :rule eq-symm :args (@t144 @t53)) % 16.23/16.45 (step @p170 :rule refl :args (@t145)) % 16.23/16.45 (step @p171 :rule cong :premises (@p170 @p169) :args (@t146)) % 16.23/16.45 (step @p172 :rule refl :args (@t89)) % 16.23/16.45 (step @p173 :rule refl :args (@t37)) % 16.23/16.45 (step @p174 :rule refl :args (@t90)) % 16.23/16.45 (step @p175 :rule refl :args (@t91)) % 16.23/16.45 (step @p176 :rule nary_cong :premises (@p175 @p174 @p173 @p172 @p171) :args (@t147)) % 16.23/16.45 (step @p177 :rule cong :premises (@p176) :args (@t149)) % 16.23/16.45 (step @p178 :rule quant-merge-prenex :args ((= (forall @t9 @t151) @t149))) % 16.23/16.45 (step @p179 :rule alpha_equiv :args (@t152 (@list @t144) @t100)) % 16.23/16.45 (step @p180 :rule nary_cong :premises (@p62 @p61 @p60 @p59 @p179) :args (@t153)) % 16.23/16.45 (step @p181 :rule quant-miniscope-or :args ((= @t151 @t153))) % 16.23/16.45 (step @p182 :rule trans :premises (@p181 @p180)) % 16.23/16.45 (step @p183 :rule symm :premises (@p182)) % 16.23/16.45 (step @p184 :rule cong :premises (@p183) :args ((forall @t9 @t155))) % 16.23/16.45 (step @p185 :rule trans :premises (@p184 @p178)) % 16.23/16.45 (step @p186 :rule trans :premises (@p185 @p177)) % 16.23/16.45 (step @p187 :rule aci_norm :args ((= (or @t106 @t156) @t155))) % 16.23/16.45 (step @p188 :rule aci_norm :args ((= (or @t107 @t154) @t156))) % 16.23/16.45 (step @p189 :rule refl :args (@t154)) % 16.23/16.45 (step @p190 :rule nary_cong :premises (@p76 @p189) :args ((or @t108 @t154))) % 16.23/16.45 (step @p191 :rule trans :premises (@p190 @p188)) % 16.23/16.45 (step @p192 :rule bool-impl-elim :args (@t56 @t154)) % 16.23/16.45 (step @p193 :rule trans :premises (@p192 @p191)) % 16.23/16.45 (step @p194 :rule nary_cong :premises (@p81 @p193) :args ((or @t110 @t157))) % 16.23/16.45 (step @p195 :rule trans :premises (@p194 @p187)) % 16.23/16.45 (step @p196 :rule bool-impl-elim :args (@t8 @t157)) % 16.23/16.45 (step @p197 :rule trans :premises (@p196 @p195)) % 16.23/16.45 (step @p198 :rule cong :premises (@p197) :args ((forall @t9 (=> @t8 @t157)))) % 16.23/16.45 (step @p199 :rule trans :premises (@p198 @p186)) % 16.23/16.45 (step @p200 :rule eq-symm :args (@t54 @t51)) % 16.23/16.45 (step @p201 :rule cong :premises (@p200) :args (@t55)) % 16.23/16.45 (step @p202 :rule cong :premises (@p90 @p201) :args (@t57)) % 16.23/16.45 (step @p203 :rule cong :premises (@p92 @p202) :args (@t58)) % 16.23/16.45 (step @p204 :rule cong :premises (@p203) :args (@t59)) % 16.23/16.45 (step @p205 :rule trans :premises (@p204 @p199)) % 16.23/16.45 (step @p206 :rule eq_resolve :premises (@p31 @p205)) % 16.23/16.45 (step @p207 :rule eq-symm :args (@t158 @t77)) % 16.23/16.45 (step @p208 :rule eq-symm :args (@t132 @t78)) % 16.23/16.45 (step @p209 :rule refl :args (@t123)) % 16.23/16.45 (step @p210 :rule nary_cong :premises (@p209 @p208) :args (@t159)) % 16.23/16.45 (step @p211 :rule cong :premises (@p210 @p207) :args (@t160)) % 16.23/16.45 (step @p212 :rule refl :args (@t162)) % 16.23/16.45 (step @p213 :rule refl :args (@t164)) % 16.23/16.45 (step @p214 :rule nary_cong :premises (@p101 @p213 @p100 @p212 @p211) :args (@t165)) % 16.23/16.45 (step @p215 :rule refl :args (@t166)) % 16.23/16.45 (step @p216 :rule cong :premises (@p215 @p214) :args ((=> @t166 @t165))) % 16.23/16.45 (assume-push @p379 @t166) % 16.23/16.45 (step @p218 :rule instantiate :premises (@p206) :args ((@list tptp.xp @t132 @t77))) % 16.23/16.45 (step-pop @p380 :rule scope :premises (@p218)) % 16.23/16.45 (step @p219 :rule process_scope :premises (@p380) :args (@t165)) % 16.23/16.45 (step @p221 :rule eq_resolve :premises (@p219 @p216)) % 16.23/16.45 (step @p222 :rule implies_elim :premises (@p221)) % 16.23/16.45 (step @p223 :rule chain_m_resolution :premises (@p222 @p206) :args (@t170 @t120 @t171)) % 16.23/16.45 (step @p224 :rule and_elim :premises (@p44) :args (0)) % 16.23/16.45 (step @p225 :rule true_intro :premises (@p224)) % 16.23/16.45 (step @p226 :rule symm :premises (@p168)) % 16.23/16.45 (step @p227 :rule trans :premises (@p151 @p226 @p42)) % 16.23/16.45 (step @p228 :rule cong :premises (@p49 @p227) :args (@t161)) % 16.23/16.45 (step @p229 :rule trans :premises (@p228 @p225)) % 16.23/16.45 (step @p230 :rule true_elim :premises (@p229)) % 16.23/16.45 (step @p231 :rule instantiate :premises (@p137) :args (@t122)) % 16.23/16.45 (step @p232 :rule cnf_or_pos :args (@t172)) % 16.23/16.45 (step @p233 :rule reordering :premises (@p232) :args ((or @t135 @t134 @t163 (not @t172)))) % 16.23/16.45 (step @p234 :rule chain_m_resolution :premises (@p233 @p148 @p147 @p231) :args (@t163 @t130 (@list @t4 @t127 @t172))) % 16.23/16.45 (step @p235 :rule cnf_or_pos :args (@t170)) % 16.23/16.45 (step @p236 :rule reordering :premises (@p235) :args ((or @t118 @t115 @t164 @t162 @t169 (not @t170)))) % 16.23/16.45 (step @p237 :rule chain_m_resolution :premises (@p236 @p116 @p113 @p234 @p230 @p223) :args (@t169 @t121 (@list @t118 @t73 @t163 @t161 @t170))) % 16.23/16.45 (step @p238 :rule cnf_and_pos :args (@t140 1)) % 16.23/16.45 (step @p239 :rule reordering :premises (@p238) :args ((or @t138 @t142))) % 16.23/16.45 (step @p240 :rule chain_m_resolution :premises (@p239 @p165) :args (@t138 @t120 @t143)) % 16.23/16.45 (step @p241 :rule cnf_and_neg :args (@t168)) % 16.23/16.45 (step @p242 :rule reordering :premises (@p241) :args ((or @t128 (not @t138) @t168))) % 16.23/16.45 (step @p243 :rule chain_m_resolution :premises (@p242 @p144 @p240) :args (@t168 @t126 (@list @t123 @t138))) % 16.23/16.45 (step @p244 :rule cnf_equiv_pos1 :args (@t169)) % 16.23/16.45 (step @p245 :rule reordering :premises (@p244) :args ((or @t167 (not @t168) (not @t169)))) % 16.23/16.45 (step @p246 :rule chain_m_resolution :premises (@p245 @p243 @p237) :args (@t167 @t126 (@list @t168 @t169))) % 16.23/16.45 (step @p247 :rule bool-eq-true :args (@t175)) % 16.23/16.45 (step @p248 :rule eq-symm :args (true @t175)) % 16.23/16.45 (step @p249 :rule trans :premises (@p248 @p247)) % 16.23/16.45 (step @p250 :rule refl :args (@t175)) % 16.23/16.45 (step @p251 :rule eq-refl :args (@t81)) % 16.23/16.45 (step @p252 :rule cong :premises (@p251 @p250) :args ((= @t176 @t175))) % 16.23/16.45 (step @p253 :rule trans :premises (@p252 @p249)) % 16.23/16.45 (step @p254 :rule eq-symm :args (@t175 @t176)) % 16.23/16.45 (step @p255 :rule trans :premises (@p254 @p253)) % 16.23/16.45 (step @p256 :rule nary_cong :premises (@p101 @p98 @p100 @p99 @p255) :args (@t177)) % 16.23/16.45 (step @p257 :rule cong :premises (@p215 @p256) :args ((=> @t166 @t177))) % 16.23/16.45 (assume-push @p381 @t166) % 16.23/16.45 (step @p259 :rule instantiate :premises (@p206) :args ((@list tptp.xp tptp.xn @t81))) % 16.23/16.45 (step-pop @p382 :rule scope :premises (@p259)) % 16.23/16.45 (step @p260 :rule process_scope :premises (@p382) :args (@t177)) % 16.23/16.45 (step @p262 :rule eq_resolve :premises (@p260 @p257)) % 16.23/16.45 (step @p263 :rule implies_elim :premises (@p262)) % 16.23/16.45 (step @p264 :rule chain_m_resolution :premises (@p263 @p206) :args (@t178 @t120 @t171)) % 16.23/16.45 (step @p265 :rule cnf_or_pos :args (@t178)) % 16.23/16.45 (step @p266 :rule reordering :premises (@p265) :args ((or @t118 @t113 @t115 @t114 @t175 (not @t178)))) % 16.23/16.45 (step @p267 :rule chain_m_resolution :premises (@p266 @p116 @p114 @p113 @p112 @p264) :args (@t175 @t121 (@list @t118 @t75 @t73 @t80 @t178))) % 16.23/16.45 (step @p268 :rule cnf_and_pos :args (@t175 1)) % 16.23/16.45 (step @p269 :rule reordering :premises (@p268) :args ((or @t173 @t179))) % 16.23/16.45 (step @p270 :rule chain_m_resolution :premises (@p269 @p267) :args (@t173 @t120 @t180)) % 16.23/16.45 (step @p271 :rule instantiate :premises (@p128) :args (@t181)) % 16.23/16.45 (step @p272 :rule cnf_and_pos :args (@t175 0)) % 16.23/16.45 (step @p273 :rule reordering :premises (@p272) :args ((or @t174 @t179))) % 16.23/16.45 (step @p274 :rule chain_m_resolution :premises (@p273 @p267) :args (@t174 @t120 @t180)) % 16.23/16.45 (step @p275 :rule cnf_or_pos :args (@t186)) % 16.23/16.45 (step @p276 :rule reordering :premises (@p275) :args ((or @t135 @t185 @t184 (not @t186)))) % 16.23/16.45 (step @p277 :rule chain_m_resolution :premises (@p276 @p148 @p274 @p271) :args (@t184 @t130 (@list @t4 @t174 @t186))) % 16.23/16.45 (step @p278 :rule instantiate :premises (@p161) :args ((@list @t81))) % 16.23/16.45 (step @p279 :rule cnf_or_pos :args (@t189)) % 16.23/16.45 (step @p280 :rule reordering :premises (@p279) :args ((or @t185 @t188 (not @t189)))) % 16.23/16.45 (step @p281 :rule chain_m_resolution :premises (@p280 @p274 @p278) :args (@t188 @t126 (@list @t174 @t189))) % 16.23/16.45 (step @p282 :rule cnf_and_pos :args (@t188 0)) % 16.23/16.45 (step @p283 :rule reordering :premises (@p282) :args ((or @t187 (not @t188)))) % 16.23/16.45 (step @p284 :rule chain_m_resolution :premises (@p283 @p281) :args (@t187 @t120 (@list @t188))) % 16.23/16.45 (step @p285 :rule aci_norm :args ((= (or @t190 @t22) (or @t91 @t90 @t102 @t22)))) % 16.23/16.45 (step @p286 :rule refl :args (@t22)) % 16.23/16.45 (step @p287 :rule aci_norm :args ((= (or @t91 (or @t90 @t102)) @t190))) % 16.23/16.45 (step @p288 :rule bool-and-de-morgan :args (@t7 @t16 true)) % 16.23/16.45 (step @p289 :rule nary_cong :premises (@p62 @p288) :args ((or @t91 (not @t36)))) % 16.23/16.45 (step @p290 :rule bool-and-de-morgan :args (@t2 @t7 (and @t16))) % 16.23/16.45 (step @p291 :rule trans :premises (@p290 @p289)) % 16.23/16.45 (step @p292 :rule trans :premises (@p291 @p287)) % 16.23/16.45 (step @p293 :rule nary_cong :premises (@p292 @p286) :args ((or (not @t17) @t22))) % 16.23/16.45 (step @p294 :rule trans :premises (@p293 @p285)) % 16.23/16.45 (step @p295 :rule bool-impl-elim :args (@t17 @t22)) % 16.23/16.45 (step @p296 :rule trans :premises (@p295 @p294)) % 16.23/16.45 (step @p297 :rule cong :premises (@p296) :args (@t23)) % 16.23/16.45 (step @p298 :rule eq_resolve :premises (@p10 @p297)) % 16.23/16.45 (step @p299 :rule instantiate :premises (@p298) :args ((@list tptp.xp @t183 @t183))) % 16.23/16.45 (step @p300 :rule instantiate :premises (@p137) :args (@t181)) % 16.23/16.45 (step @p301 :rule cnf_or_pos :args (@t192)) % 16.23/16.45 (step @p302 :rule reordering :premises (@p301) :args ((or @t135 @t185 @t191 (not @t192)))) % 16.23/16.45 (step @p303 :rule chain_m_resolution :premises (@p302 @p148 @p274 @p300) :args (@t191 @t130 (@list @t4 @t174 @t192))) % 16.23/16.45 (step @p304 :rule cnf_or_pos :args (@t199)) % 16.23/16.45 (step @p305 :rule factoring :premises (@p304)) % 16.23/16.45 (step @p306 :rule reordering :premises (@p305) :args ((or @t115 @t198 @t197 (not @t199)))) % 16.23/16.45 (step @p307 :rule chain_m_resolution :premises (@p306 @p113 @p303 @p299) :args (@t197 @t130 (@list @t73 @t191 @t199))) % 16.23/16.45 (step @p308 :rule refl :args (@t200)) % 16.23/16.45 (step @p309 :rule refl :args (@t201)) % 16.23/16.45 (step @p310 :rule refl :args (@t202)) % 16.23/16.45 (step @p311 :rule refl :args (@t203)) % 16.23/16.45 (step @p312 :rule refl :args (@t204)) % 16.23/16.45 (step @p313 :rule refl :args (@t205)) % 16.23/16.45 (step @p314 :rule refl :args (@t206)) % 16.23/16.45 (step @p315 :rule refl :args (@t207)) % 16.23/16.45 (step @p316 :rule bool-double-not-elim :args (@t208)) % 16.23/16.45 (step @p317 :rule refl :args (@t209)) % 16.23/16.45 (step @p318 :rule nary_cong :premises (@p317 @p316 @p315 @p314 @p313 @p312 @p311 @p310 @p309 @p308) :args ((or @t209 (not @t210) @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200))) % 16.23/16.45 (assume-push @p383 @t197) % 16.23/16.45 (assume-push @p384 @t200) % 16.23/16.45 (step @p321 :rule evaluate :args ((= false true))) % 16.23/16.45 (step @p322 :rule true_intro :premises (@p307)) % 16.23/16.45 (step @p323 :rule false_intro :premises (@p54)) % 16.23/16.45 (step @p324 :rule symm :premises (@p284)) % 16.23/16.45 (step @p325 :rule trans :premises (@p277 @p324)) % 16.23/16.45 (step @p326 :rule cong :premises (@p325 @p325) :args (@t193)) % 16.23/16.45 (step @p327 :rule cong :premises (@p49 @p326) :args (@t194)) % 16.23/16.45 (step @p328 :rule symm :premises (@p246)) % 16.23/16.45 (step @p329 :rule symm :premises (@p151)) % 16.23/16.45 (step @p330 :rule symm :premises (@p42)) % 16.23/16.45 (step @p331 :rule trans :premises (@p330 @p168)) % 16.23/16.45 (step @p332 :rule trans :premises (@p331 @p329)) % 16.23/16.45 (step @p333 :rule cong :premises (@p332 @p49) :args (@t111)) % 16.23/16.45 (step @p334 :rule symm :premises (@p270)) % 16.23/16.45 (step @p335 :rule cong :premises (@p49 @p325) :args (@t195)) % 16.23/16.45 (step @p336 :rule trans :premises (@p335 @p334)) % 16.23/16.45 (step @p337 :rule cong :premises (@p336 @p325) :args (@t196)) % 16.23/16.45 (step @p338 :rule trans :premises (@p337 @p120 @p333 @p328)) % 16.23/16.45 (step @p339 :rule cong :premises (@p338 @p327) :args (@t197)) % 16.23/16.45 (step @p340 :rule trans :premises (@p339 @p323)) % 16.23/16.45 (step @p341 :rule symm :premises (@p340)) % 16.23/16.45 (step @p342 :rule trans :premises (@p341 @p322)) % 16.23/16.45 (step @p343 false :rule eq_resolve :premises (@p342 @p321)) % 16.23/16.45 (step-pop @p385 :rule scope :premises (@p343)) % 16.23/16.45 (step-pop @p386 :rule scope :premises (@p385)) % 16.23/16.45 (step @p344 :rule process_scope :premises (@p386) :args (false)) % 16.23/16.45 (assume-push @p387 @t79) % 16.23/16.45 (assume-push @p388 @t210) % 16.23/16.45 (assume-push @p389 @t112) % 16.23/16.45 (assume-push @p390 @t133) % 16.23/16.45 (assume-push @p391 @t139) % 16.23/16.45 (assume-push @p392 @t167) % 16.23/16.45 (assume-push @p393 @t184) % 16.23/16.45 (assume-push @p394 @t187) % 16.23/16.45 (assume-push @p395 @t173) % 16.23/16.45 (assume-push @p396 @t197) % 16.23/16.45 (step @p323 :rule false_intro :premises (@p54)) % 16.23/16.45 (step @p324 :rule symm :premises (@p284)) % 16.23/16.45 (step @p325 :rule trans :premises (@p277 @p324)) % 16.23/16.45 (step @p326 :rule cong :premises (@p325 @p325) :args (@t193)) % 16.23/16.45 (step @p327 :rule cong :premises (@p49 @p326) :args (@t194)) % 16.23/16.45 (step @p328 :rule symm :premises (@p246)) % 16.23/16.45 (step @p329 :rule symm :premises (@p151)) % 16.23/16.45 (step @p330 :rule symm :premises (@p42)) % 16.23/16.45 (step @p331 :rule trans :premises (@p330 @p168)) % 16.23/16.45 (step @p332 :rule trans :premises (@p331 @p329)) % 16.23/16.45 (step @p333 :rule cong :premises (@p332 @p49) :args (@t111)) % 16.23/16.45 (step @p334 :rule symm :premises (@p270)) % 16.23/16.45 (step @p335 :rule cong :premises (@p49 @p325) :args (@t195)) % 16.23/16.45 (step @p336 :rule trans :premises (@p335 @p334)) % 16.23/16.45 (step @p337 :rule cong :premises (@p336 @p325) :args (@t196)) % 16.23/16.45 (step @p338 :rule trans :premises (@p337 @p120 @p333 @p328)) % 16.23/16.45 (step @p339 :rule cong :premises (@p338 @p327) :args (@t197)) % 16.23/16.45 (step @p357 :rule trans :premises (@p339 @p323)) % 16.23/16.45 (step @p358 :rule false_elim :premises (@p357)) % 16.23/16.45 (step @p359 :rule and_intro :premises (@p307 @p358)) % 16.23/16.45 (step-pop @p397 :rule scope :premises (@p359)) % 16.23/16.45 (step-pop @p398 :rule scope :premises (@p397)) % 16.23/16.45 (step-pop @p399 :rule scope :premises (@p398)) % 16.23/16.45 (step-pop @p400 :rule scope :premises (@p399)) % 16.23/16.45 (step-pop @p401 :rule scope :premises (@p400)) % 16.23/16.45 (step-pop @p402 :rule scope :premises (@p401)) % 16.23/16.45 (step-pop @p403 :rule scope :premises (@p402)) % 16.23/16.45 (step-pop @p404 :rule scope :premises (@p403)) % 16.23/16.45 (step-pop @p405 :rule scope :premises (@p404)) % 16.23/16.45 (step-pop @p406 :rule scope :premises (@p405)) % 16.23/16.45 (step @p360 :rule process_scope :premises (@p406) :args (@t211)) % 16.23/16.45 (step @p371 :rule implies_elim :premises (@p360)) % 16.23/16.45 (step @p372 :rule resolution :premises (@p371 @p344) :args (true @t211)) % 16.23/16.45 (step @p373 :rule not_and :premises (@p372)) % 16.23/16.45 (step @p374 :rule eq_resolve :premises (@p373 @p318)) % 16.23/16.45 (step @p375 :rule reordering :premises (@p374) :args ((or @t208 @t209 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200))) % 16.23/16.45 (step @p376 false :rule chain_m_resolution :premises (@p375 @p307 @p284 @p277 @p270 @p246 @p168 @p151 @p120 @p54 @p42) :args (false (@list false false false false false false false false true false) (@list @t197 @t187 @t184 @t173 @t167 @t139 @t133 @t112 @t208 @t79))) % 16.23/16.45 ) % 16.23/16.45 % SZS output end Proof % 16.23/16.45 % cvc5 exiting %------------------------------------------------------------------------------