%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM487+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 : n004.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 08:39:35 AM UTC 2026 % Result : Theorem 35.44s 35.66s % Output : Proof 35.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM487+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n004.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 11:23:22 EDT 2026 % 0.18/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 35.44/35.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.44/35.66 --- Run --no-e-matching --full-saturate-quant at 6... % 35.44/35.66 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.44/35.66 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.44/35.66 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.44/35.66 % SZS status Theorem % 35.44/35.66 % SZS output start Proof % 35.44/35.66 ( % 35.44/35.66 (declare-sort $$unsorted 0) % 35.44/35.66 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 35.44/35.66 (declare-const tptp.xm $$unsorted) % 35.44/35.66 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.44/35.66 (declare-const tptp.xr $$unsorted) % 35.44/35.66 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 35.44/35.66 (declare-const tptp.xn $$unsorted) % 35.44/35.66 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 35.44/35.66 (declare-const tptp.sz00 $$unsorted) % 35.44/35.66 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.44/35.66 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.44/35.66 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 35.44/35.66 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 35.44/35.66 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 35.44/35.66 (declare-const tptp.sz10 $$unsorted) % 35.44/35.66 (declare-const tptp.xp $$unsorted) % 35.44/35.66 (define @t1 () (@var "W0" $$unsorted)) % 35.44/35.66 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 35.44/35.66 (define @t3 () (@list @t1)) % 35.44/35.66 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 35.44/35.66 (define @t5 () (@var "W1" $$unsorted)) % 35.44/35.66 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 35.44/35.66 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 35.44/35.66 (define @t8 () (and @t2 @t7)) % 35.44/35.66 (define @t9 () (@list @t1 @t5)) % 35.44/35.66 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 35.44/35.66 (define @t11 () (tptp.sdtpldt0 @t5 @t1)) % 35.44/35.66 (define @t12 () (= @t6 @t11)) % 35.44/35.66 (define @t13 () (forall @t9 (=> @t8 @t12))) % 35.44/35.66 (define @t14 () (@var "W2" $$unsorted)) % 35.44/35.66 (define @t15 () (tptp.sdtpldt0 @t5 @t14)) % 35.44/35.66 (define @t16 () (tptp.sdtpldt0 @t6 @t14)) % 35.44/35.66 (define @t17 () (tptp.aNaturalNumber0 @t14)) % 35.44/35.66 (define @t18 () (and @t2 @t7 @t17)) % 35.44/35.66 (define @t19 () (@list @t1 @t5 @t14)) % 35.44/35.66 (define @t20 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 35.44/35.66 (define @t21 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 35.44/35.66 (define @t22 () (and (= @t21 @t1) @t20)) % 35.44/35.66 (define @t23 () (=> @t2 @t22)) % 35.44/35.66 (define @t24 () (forall @t3 @t23)) % 35.44/35.66 (define @t25 () (tptp.sdtasdt0 @t5 @t1)) % 35.44/35.66 (define @t26 () (tptp.sdtasdt0 @t14 @t1)) % 35.44/35.66 (define @t27 () (tptp.sdtasdt0 @t1 @t14)) % 35.44/35.66 (define @t28 () (= @t5 @t14)) % 35.44/35.66 (define @t29 () (tptp.sdtpldt0 @t14 @t1)) % 35.44/35.66 (define @t30 () (= @t11 @t29)) % 35.44/35.66 (define @t31 () (tptp.sdtpldt0 @t1 @t14)) % 35.44/35.66 (define @t32 () (= @t6 @t31)) % 35.44/35.66 (define @t33 () (or @t32 @t30)) % 35.44/35.66 (define @t34 () (=> @t33 @t28)) % 35.44/35.66 (define @t35 () (forall @t19 (=> @t18 @t34))) % 35.44/35.66 (define @t36 () (= @t25 @t26)) % 35.44/35.66 (define @t37 () (= @t10 @t27)) % 35.44/35.66 (define @t38 () (and @t7 @t17)) % 35.44/35.66 (define @t39 () (= @t1 tptp.sz00)) % 35.44/35.66 (define @t40 () (not @t39)) % 35.44/35.66 (define @t41 () (= @t5 tptp.sz00)) % 35.44/35.66 (define @t42 () (and @t17 (= @t31 @t5))) % 35.44/35.66 (define @t43 () (@list @t14)) % 35.44/35.66 (define @t44 () (exists @t43 @t42)) % 35.44/35.66 (define @t45 () (tptp.sdtlseqdt0 @t1 @t5)) % 35.44/35.66 (define @t46 () (= @t45 @t44)) % 35.44/35.66 (define @t47 () (=> @t8 @t46)) % 35.44/35.66 (define @t48 () (forall @t9 @t47)) % 35.44/35.66 (define @t49 () (tptp.sdtmndt0 @t5 @t1)) % 35.44/35.66 (define @t50 () (= @t14 @t49)) % 35.44/35.66 (define @t51 () (forall @t43 (= @t50 @t42))) % 35.44/35.66 (define @t52 () (=> @t45 @t51)) % 35.44/35.66 (define @t53 () (=> @t8 @t52)) % 35.44/35.66 (define @t54 () (forall @t9 @t53)) % 35.44/35.66 (define @t55 () (= @t1 @t5)) % 35.44/35.66 (define @t56 () (tptp.sdtlseqdt0 @t5 @t1)) % 35.44/35.66 (define @t57 () (tptp.sdtlseqdt0 @t5 @t14)) % 35.44/35.66 (define @t58 () (= @t5 @t1)) % 35.44/35.66 (define @t59 () (tptp.sdtpldt0 @t14 @t5)) % 35.44/35.66 (define @t60 () (and (not @t55) @t45)) % 35.44/35.66 (define @t61 () (= @t1 tptp.sz10)) % 35.44/35.66 (define @t62 () (tptp.iLess0 @t1 @t5)) % 35.44/35.66 (define @t63 () (and @t17 (= @t5 @t27))) % 35.44/35.66 (define @t64 () (tptp.doDivides0 @t1 @t5)) % 35.44/35.66 (define @t65 () (tptp.sdtsldt0 @t5 @t1)) % 35.44/35.66 (define @t66 () (and @t40 @t64)) % 35.44/35.66 (define @t67 () (tptp.doDivides0 @t1 @t14)) % 35.44/35.66 (define @t68 () (tptp.doDivides0 @t1 @t15)) % 35.44/35.66 (define @t69 () (or (= @t5 tptp.sz10) @t58)) % 35.44/35.66 (define @t70 () (tptp.doDivides0 @t5 @t1)) % 35.44/35.66 (define @t71 () (and @t7 @t70)) % 35.44/35.66 (define @t72 () (=> @t71 @t69)) % 35.44/35.66 (define @t73 () (@list @t5)) % 35.44/35.66 (define @t74 () (forall @t73 @t72)) % 35.44/35.66 (define @t75 () (not @t61)) % 35.44/35.66 (define @t76 () (and @t40 @t75 @t74)) % 35.44/35.66 (define @t77 () (tptp.isPrime0 @t1)) % 35.44/35.66 (define @t78 () (= @t77 @t76)) % 35.44/35.66 (define @t79 () (=> @t2 @t78)) % 35.44/35.66 (define @t80 () (forall @t3 @t79)) % 35.44/35.66 (define @t81 () (tptp.aNaturalNumber0 tptp.xp)) % 35.44/35.66 (define @t82 () (tptp.aNaturalNumber0 tptp.xn)) % 35.44/35.66 (define @t83 () (tptp.isPrime0 tptp.xp)) % 35.44/35.66 (define @t84 () (tptp.sdtlseqdt0 tptp.xp tptp.xn)) % 35.44/35.66 (define @t85 () (tptp.sdtmndt0 tptp.xn tptp.xp)) % 35.44/35.66 (define @t86 () (tptp.sdtlseqdt0 tptp.xr tptp.xn)) % 35.44/35.66 (define @t87 () (not (= tptp.xr tptp.xn))) % 35.44/35.66 (define @t88 () (and @t87 @t86)) % 35.44/35.66 (define @t89 () (not @t88)) % 35.44/35.66 (define @t90 () (= @t5 @t31)) % 35.44/35.66 (define @t91 () (not @t17)) % 35.44/35.66 (define @t92 () (= @t45 (not (forall @t43 (or @t91 (not @t90)))))) % 35.44/35.66 (define @t93 () (not @t7)) % 35.44/35.66 (define @t94 () (not @t2)) % 35.44/35.66 (define @t95 () (or @t94 @t93)) % 35.44/35.66 (define @t96 () (not @t8)) % 35.44/35.66 (define @t97 () (and @t17 @t90)) % 35.44/35.66 (define @t98 () (forall @t43 (not @t97))) % 35.44/35.66 (define @t99 () (not @t98)) % 35.44/35.66 (define @t100 () (forall @t43 (or @t91 (not (= tptp.xn (tptp.sdtpldt0 tptp.xp @t14)))))) % 35.44/35.66 (define @t101 () (not @t100)) % 35.44/35.66 (define @t102 () (= @t84 @t101)) % 35.44/35.66 (define @t103 () (not @t82)) % 35.44/35.66 (define @t104 () (not @t81)) % 35.44/35.66 (define @t105 () (or @t104 @t103 @t102)) % 35.44/35.66 (define @t106 () (@list false false false)) % 35.44/35.66 (define @t107 () (not @t84)) % 35.44/35.66 (define @t108 () (@list false false)) % 35.44/35.66 (define @t109 () (@quantifiers_skolemize @t100 0)) % 35.44/35.66 (define @t110 () (tptp.sdtpldt0 tptp.xp @t109)) % 35.44/35.66 (define @t111 () (= tptp.xn @t110)) % 35.44/35.66 (define @t112 () (not @t111)) % 35.44/35.66 (define @t113 () (tptp.aNaturalNumber0 @t109)) % 35.44/35.66 (define @t114 () (not @t113)) % 35.44/35.66 (define @t115 () (or @t114 @t112)) % 35.44/35.66 (define @t116 () (@list true)) % 35.44/35.66 (define @t117 () (@list @t115)) % 35.44/35.66 (define @t118 () (@var "BOUND_VARIABLE_7856" $$unsorted)) % 35.44/35.66 (define @t119 () (and (tptp.aNaturalNumber0 @t118) (= @t5 (tptp.sdtpldt0 @t1 @t118)))) % 35.44/35.66 (define @t120 () (= (= @t118 @t49) @t119)) % 35.44/35.66 (define @t121 () (not @t45)) % 35.44/35.66 (define @t122 () (or @t94 @t93 @t121 @t120)) % 35.44/35.66 (define @t123 () (forall (@list @t1 @t5 @t118) @t122)) % 35.44/35.66 (define @t124 () (@list @t118)) % 35.44/35.66 (define @t125 () (forall @t124 @t122)) % 35.44/35.66 (define @t126 () (forall @t124 @t120)) % 35.44/35.66 (define @t127 () (or @t94 @t93 @t121 @t126)) % 35.44/35.66 (define @t128 () (forall @t43 (= @t50 @t97))) % 35.44/35.66 (define @t129 () (or @t94 @t93 @t121 @t128)) % 35.44/35.66 (define @t130 () (=> @t45 @t128)) % 35.44/35.66 (define @t131 () (= @t85 @t109)) % 35.44/35.66 (define @t132 () (and @t113 @t111)) % 35.44/35.66 (define @t133 () (= @t132 @t131)) % 35.44/35.66 (define @t134 () (or @t104 @t103 @t107 @t133)) % 35.44/35.66 (define @t135 () (tptp.sdtpldt0 @t109 tptp.xp)) % 35.44/35.66 (define @t136 () (= @t110 @t135)) % 35.44/35.66 (define @t137 () (or @t104 @t114 @t136)) % 35.44/35.66 (define @t138 () (@list @t81 @t113 @t137)) % 35.44/35.66 (define @t139 () (tptp.aNaturalNumber0 @t85)) % 35.44/35.66 (define @t140 () (forall @t43 (or @t91 (not (= tptp.xn (tptp.sdtpldt0 @t85 @t14)))))) % 35.44/35.66 (define @t141 () (not @t140)) % 35.44/35.66 (define @t142 () (tptp.sdtlseqdt0 @t85 tptp.xn)) % 35.44/35.66 (define @t143 () (= @t142 @t141)) % 35.44/35.66 (define @t144 () (not @t139)) % 35.44/35.66 (define @t145 () (or @t144 @t103 @t143)) % 35.44/35.66 (define @t146 () (and (= @t1 @t21) @t20)) % 35.44/35.66 (define @t147 () (tptp.sdtpldt0 tptp.sz00 tptp.xn)) % 35.44/35.66 (define @t148 () (= tptp.xn @t147)) % 35.44/35.66 (define @t149 () (tptp.sdtpldt0 tptp.xn tptp.sz00)) % 35.44/35.66 (define @t150 () (and (= tptp.xn @t149) @t148)) % 35.44/35.66 (define @t151 () (or @t103 @t150)) % 35.44/35.66 (define @t152 () (@list false)) % 35.44/35.66 (define @t153 () (and (not @t32) (not @t30))) % 35.44/35.66 (define @t154 () (or @t94 @t93 @t91 @t153 @t28)) % 35.44/35.66 (define @t155 () (or @t94 @t93 @t91)) % 35.44/35.66 (define @t156 () (tptp.sdtpldt0 tptp.xp tptp.xn)) % 35.44/35.66 (define @t157 () (not (= @t156 @t147))) % 35.44/35.66 (define @t158 () (tptp.sdtpldt0 tptp.xn tptp.xp)) % 35.44/35.66 (define @t159 () (not (= @t158 @t149))) % 35.44/35.66 (define @t160 () (and @t159 @t157)) % 35.44/35.66 (define @t161 () (not @t4)) % 35.44/35.66 (define @t162 () (= tptp.xp tptp.sz00)) % 35.44/35.66 (define @t163 () (or @t103 @t104 @t161 @t160 @t162)) % 35.44/35.66 (define @t164 () (forall @t19 @t154)) % 35.44/35.66 (define @t165 () (= tptp.sz00 tptp.xp)) % 35.44/35.66 (define @t166 () (= @t147 @t156)) % 35.44/35.66 (define @t167 () (not @t166)) % 35.44/35.66 (define @t168 () (and (not (= @t149 @t158)) @t167)) % 35.44/35.66 (define @t169 () (or @t103 @t104 @t161 @t168 @t165)) % 35.44/35.66 (define @t170 () (= tptp.sz10 @t5)) % 35.44/35.66 (define @t171 () (not @t70)) % 35.44/35.66 (define @t172 () (or @t93 @t171 @t170 @t55)) % 35.44/35.66 (define @t173 () (= @t77 (and @t40 @t75 (forall @t73 @t172)))) % 35.44/35.66 (define @t174 () (or @t170 @t55)) % 35.44/35.66 (define @t175 () (not (tptp.doDivides0 @t5 tptp.xp))) % 35.44/35.66 (define @t176 () (or @t93 @t175 @t170 (= tptp.xp @t5))) % 35.44/35.66 (define @t177 () (forall @t73 @t176)) % 35.44/35.66 (define @t178 () (not (= tptp.xp tptp.sz10))) % 35.44/35.66 (define @t179 () (not @t162)) % 35.44/35.66 (define @t180 () (and @t179 @t178 @t177)) % 35.44/35.66 (define @t181 () (= @t83 @t180)) % 35.44/35.66 (define @t182 () (or @t104 @t181)) % 35.44/35.66 (define @t183 () (forall @t3 (or @t94 @t173))) % 35.44/35.66 (define @t184 () (@list tptp.xp)) % 35.44/35.66 (define @t185 () (not @t165)) % 35.44/35.66 (define @t186 () (and @t185 (not (= tptp.sz10 tptp.xp)) (forall @t73 (or @t93 @t175 @t170 (= @t5 tptp.xp))))) % 35.44/35.66 (define @t187 () (= @t83 @t186)) % 35.44/35.66 (define @t188 () (or @t104 @t187)) % 35.44/35.66 (define @t189 () (= tptp.xn @t85)) % 35.44/35.66 (define @t190 () (and @t189 @t148 @t111 @t131)) % 35.44/35.66 (define @t191 () (not @t189)) % 35.44/35.66 (define @t192 () (@list true false false false)) % 35.44/35.66 (define @t193 () (not @t142)) % 35.44/35.66 (define @t194 () (= tptp.xn tptp.xr)) % 35.44/35.66 (define @t195 () (not @t194)) % 35.44/35.66 (define @t196 () (and @t195 @t86)) % 35.44/35.66 (define @t197 () (not @t143)) % 35.44/35.66 (define @t198 () (= tptp.xn (tptp.sdtpldt0 @t85 tptp.xp))) % 35.44/35.66 (define @t199 () (not @t198)) % 35.44/35.66 (define @t200 () (or @t104 @t199)) % 35.44/35.66 (define @t201 () (not @t136)) % 35.44/35.66 (define @t202 () (not @t131)) % 35.44/35.66 (define @t203 () (and @t198 @t199)) % 35.44/35.66 (assume @p1 (forall @t3 (=> @t2 true))) % 35.44/35.66 (assume @p2 @t4) % 35.44/35.66 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 35.44/35.66 (assume @p4 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t6)))) % 35.44/35.66 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t10)))) % 35.44/35.66 (assume @p6 @t13) % 35.44/35.66 (assume @p7 (forall @t19 (=> @t18 (= @t16 (tptp.sdtpldt0 @t1 @t15))))) % 35.44/35.66 (assume @p8 @t24) % 35.44/35.66 (assume @p9 (forall @t9 (=> @t8 (= @t10 @t25)))) % 35.44/35.66 (assume @p10 (forall @t19 (=> @t18 (= (tptp.sdtasdt0 @t10 @t14) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t14)))))) % 35.44/35.66 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 35.44/35.66 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 35.44/35.66 (assume @p13 (forall @t19 (=> @t18 (and (= (tptp.sdtasdt0 @t1 @t15) (tptp.sdtpldt0 @t10 @t27)) (= (tptp.sdtasdt0 @t15 @t1) (tptp.sdtpldt0 @t25 @t26)))))) % 35.44/35.66 (assume @p14 @t35) % 35.44/35.66 (assume @p15 (forall @t3 (=> @t2 (=> @t40 (forall (@list @t5 @t14) (=> @t38 (=> (or @t37 @t36) @t28))))))) % 35.44/35.66 (assume @p16 (forall @t9 (=> @t8 (=> (= @t6 tptp.sz00) (and @t39 @t41))))) % 35.44/35.66 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t39 @t41))))) % 35.44/35.66 (assume @p18 @t48) % 35.44/35.66 (assume @p19 @t54) % 35.44/35.66 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 35.44/35.66 (assume @p21 (forall @t9 (=> @t8 (=> (and @t45 @t56) @t55)))) % 35.44/35.66 (assume @p22 (forall @t19 (=> @t18 (=> (and @t45 @t57) (tptp.sdtlseqdt0 @t1 @t14))))) % 35.44/35.66 (assume @p23 (forall @t9 (=> @t8 (or @t45 (and (not @t58) @t56))))) % 35.44/35.66 (assume @p24 (forall @t9 (=> @t8 (=> @t60 (forall @t43 (=> @t17 (and (not (= @t29 @t59)) (tptp.sdtlseqdt0 @t29 @t59) (not (= @t31 @t15)) (tptp.sdtlseqdt0 @t31 @t15)))))))) % 35.44/35.66 (assume @p25 (forall @t19 (=> @t18 (=> (and @t40 (not @t28) @t57) (and (not @t37) (tptp.sdtlseqdt0 @t10 @t27) (not @t36) (tptp.sdtlseqdt0 @t25 @t26)))))) % 35.44/35.66 (assume @p26 (forall @t3 (=> @t2 (or @t39 @t61 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 35.44/35.66 (assume @p27 (forall @t9 (=> @t8 (=> @t40 (tptp.sdtlseqdt0 @t5 @t25))))) % 35.44/35.66 (assume @p28 (forall @t9 (=> @t8 (=> @t62 true)))) % 35.44/35.66 (assume @p29 (forall @t9 (=> @t8 (=> @t60 @t62)))) % 35.44/35.66 (assume @p30 (forall @t9 (=> @t8 (= @t64 (exists @t43 @t63))))) % 35.44/35.66 (assume @p31 (forall @t9 (=> @t8 (=> @t66 (forall @t43 (= (= @t14 @t65) @t63)))))) % 35.44/35.66 (assume @p32 (forall @t19 (=> @t18 (=> (and @t64 (tptp.doDivides0 @t5 @t14)) @t67)))) % 35.44/35.66 (assume @p33 (forall @t19 (=> @t18 (=> (and @t64 @t67) @t68)))) % 35.44/35.66 (assume @p34 (forall @t19 (=> @t18 (=> (and @t64 @t68) @t67)))) % 35.44/35.66 (assume @p35 (forall @t9 (=> @t8 (=> (and @t64 (not @t41)) @t45)))) % 35.44/35.66 (assume @p36 (forall @t9 (=> @t8 (=> @t66 (forall @t43 (=> @t17 (= (tptp.sdtasdt0 @t14 @t65) (tptp.sdtsldt0 (tptp.sdtasdt0 @t14 @t5) @t1)))))))) % 35.44/35.66 (assume @p37 @t80) % 35.44/35.66 (assume @p38 (forall @t3 (=> (and @t2 @t40 @t75) (exists @t73 (and @t7 @t70 (tptp.isPrime0 @t5)))))) % 35.44/35.66 (assume @p39 (and @t82 (tptp.aNaturalNumber0 tptp.xm) @t81)) % 35.44/35.66 (assume @p40 (forall @t19 (=> @t18 (=> (and (tptp.isPrime0 @t14) (tptp.doDivides0 @t14 @t10)) (=> (tptp.iLess0 @t16 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (tptp.doDivides0 @t14 @t1) (tptp.doDivides0 @t14 @t5))))))) % 35.44/35.66 (assume @p41 (and @t83 (tptp.doDivides0 tptp.xp (tptp.sdtasdt0 tptp.xn tptp.xm)))) % 35.44/35.66 (assume @p42 @t84) % 35.44/35.66 (assume @p43 (= tptp.xr @t85)) % 35.44/35.66 (assume @p44 @t89) % 35.44/35.66 (assume @p45 true) % 35.44/35.66 (step @p46 :rule aci_norm :args ((= (or @t95 @t92) (or @t94 @t93 @t92)))) % 35.44/35.66 (step @p47 :rule refl :args (@t92)) % 35.44/35.66 (step @p48 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 35.44/35.66 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t96 @t92))) % 35.44/35.66 (step @p50 :rule trans :premises (@p49 @p46)) % 35.44/35.66 (step @p51 :rule bool-impl-elim :args (@t8 @t92)) % 35.44/35.66 (step @p52 :rule trans :premises (@p51 @p50)) % 35.44/35.66 (step @p53 :rule cong :premises (@p52) :args ((forall @t9 (=> @t8 @t92)))) % 35.44/35.66 (step @p54 :rule bool-and-de-morgan :args (@t17 @t90 true)) % 35.44/35.66 (step @p55 :rule cong :premises (@p54) :args (@t98)) % 35.44/35.66 (step @p56 :rule cong :premises (@p55) :args (@t99)) % 35.44/35.66 (step @p57 :rule exists-elim :args ((= (exists @t43 @t97) @t99))) % 35.44/35.66 (step @p58 :rule trans :premises (@p57 @p56)) % 35.44/35.66 (step @p59 :rule eq-symm :args (@t31 @t5)) % 35.44/35.66 (step @p60 :rule refl :args (@t17)) % 35.44/35.66 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t42)) % 35.44/35.66 (step @p62 :rule cong :premises (@p61) :args (@t44)) % 35.44/35.66 (step @p63 :rule trans :premises (@p62 @p58)) % 35.44/35.66 (step @p64 :rule refl :args (@t45)) % 35.44/35.66 (step @p65 :rule cong :premises (@p64 @p63) :args (@t46)) % 35.44/35.66 (step @p66 :rule refl :args (@t8)) % 35.44/35.66 (step @p67 :rule cong :premises (@p66 @p65) :args (@t47)) % 35.44/35.66 (step @p68 :rule cong :premises (@p67) :args (@t48)) % 35.44/35.66 (step @p69 :rule trans :premises (@p68 @p53)) % 35.44/35.66 (step @p70 :rule eq_resolve :premises (@p18 @p69)) % 35.44/35.66 (step @p71 :rule instantiate :premises (@p70) :args ((@list tptp.xp tptp.xn))) % 35.44/35.66 (step @p72 :rule and_elim :premises (@p39) :args (2)) % 35.44/35.66 (step @p73 :rule and_elim :premises (@p39) :args (0)) % 35.44/35.66 (step @p74 :rule cnf_or_pos :args (@t105)) % 35.44/35.66 (step @p75 :rule reordering :premises (@p74) :args ((or @t103 @t104 @t102 (not @t105)))) % 35.44/35.66 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p72 @p71) :args (@t102 @t106 (@list @t82 @t81 @t105))) % 35.44/35.66 (step @p77 :rule cnf_equiv_pos1 :args (@t102)) % 35.44/35.66 (step @p78 :rule reordering :premises (@p77) :args ((or @t107 @t101 (not @t102)))) % 35.44/35.66 (step @p79 :rule chain_m_resolution :premises (@p78 @p42 @p76) :args (@t101 @t108 (@list @t84 @t102))) % 35.44/35.66 (step @p80 :rule skolemize :premises (@p79)) % 35.44/35.66 (step @p81 :rule bool-double-not-elim :args (@t111)) % 35.44/35.66 (step @p82 :rule refl :args (@t115)) % 35.44/35.66 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t115 (not @t112)))) % 35.44/35.66 (step @p84 :rule cnf_or_neg :args (@t115 1)) % 35.44/35.66 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 35.44/35.66 (step @p86 :rule reordering :premises (@p85) :args ((or @t111 @t115))) % 35.44/35.66 (step @p87 :rule chain_m_resolution :premises (@p86 @p80) :args (@t111 @t116 @t117)) % 35.44/35.66 (step @p88 :rule eq-symm :args ((= @t49 @t118) @t119)) % 35.44/35.66 (step @p89 :rule refl :args (@t119)) % 35.44/35.66 (step @p90 :rule eq-symm :args (@t118 @t49)) % 35.44/35.66 (step @p91 :rule cong :premises (@p90 @p89) :args (@t120)) % 35.44/35.66 (step @p92 :rule trans :premises (@p91 @p88)) % 35.44/35.66 (step @p93 :rule refl :args (@t121)) % 35.44/35.66 (step @p94 :rule refl :args (@t93)) % 35.44/35.66 (step @p95 :rule refl :args (@t94)) % 35.44/35.66 (step @p96 :rule nary_cong :premises (@p95 @p94 @p93 @p92) :args (@t122)) % 35.44/35.66 (step @p97 :rule cong :premises (@p96) :args (@t123)) % 35.44/35.66 (step @p98 :rule quant-merge-prenex :args ((= (forall @t9 @t125) @t123))) % 35.44/35.66 (step @p99 :rule alpha_equiv :args (@t126 (@list @t118) (@list @t14))) % 35.44/35.66 (step @p100 :rule refl :args (@t121)) % 35.44/35.66 (step @p101 :rule refl :args (@t93)) % 35.44/35.66 (step @p102 :rule refl :args (@t94)) % 35.44/35.66 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100 @p99) :args (@t127)) % 35.44/35.66 (step @p104 :rule quant-miniscope-or :args ((= @t125 @t127))) % 35.44/35.66 (step @p105 :rule trans :premises (@p104 @p103)) % 35.44/35.66 (step @p106 :rule symm :premises (@p105)) % 35.44/35.66 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 @t129))) % 35.44/35.66 (step @p108 :rule trans :premises (@p107 @p98)) % 35.44/35.66 (step @p109 :rule trans :premises (@p108 @p97)) % 35.44/35.66 (step @p110 :rule aci_norm :args ((= (or @t95 (or @t121 @t128)) @t129))) % 35.44/35.66 (step @p111 :rule bool-impl-elim :args (@t45 @t128)) % 35.44/35.66 (step @p112 :rule nary_cong :premises (@p48 @p111) :args ((or @t96 @t130))) % 35.44/35.66 (step @p113 :rule trans :premises (@p112 @p110)) % 35.44/35.66 (step @p114 :rule bool-impl-elim :args (@t8 @t130)) % 35.44/35.66 (step @p115 :rule trans :premises (@p114 @p113)) % 35.44/35.66 (step @p116 :rule cong :premises (@p115) :args ((forall @t9 (=> @t8 @t130)))) % 35.44/35.66 (step @p117 :rule trans :premises (@p116 @p109)) % 35.44/35.66 (step @p118 :rule eq-symm :args (@t97 @t50)) % 35.44/35.66 (step @p119 :rule refl :args (@t50)) % 35.44/35.66 (step @p120 :rule cong :premises (@p61 @p119) :args ((= @t42 @t50))) % 35.44/35.66 (step @p121 :rule trans :premises (@p120 @p118)) % 35.44/35.66 (step @p122 :rule eq-symm :args (@t50 @t42)) % 35.44/35.66 (step @p123 :rule trans :premises (@p122 @p121)) % 35.44/35.66 (step @p124 :rule cong :premises (@p123) :args (@t51)) % 35.44/35.66 (step @p125 :rule cong :premises (@p64 @p124) :args (@t52)) % 35.44/35.66 (step @p126 :rule cong :premises (@p66 @p125) :args (@t53)) % 35.44/35.66 (step @p127 :rule cong :premises (@p126) :args (@t54)) % 35.44/35.66 (step @p128 :rule trans :premises (@p127 @p117)) % 35.44/35.66 (step @p129 :rule eq_resolve :premises (@p19 @p128)) % 35.44/35.66 (step @p130 :rule instantiate :premises (@p129) :args ((@list tptp.xp tptp.xn @t109))) % 35.44/35.66 (step @p131 :rule cnf_or_pos :args (@t134)) % 35.44/35.66 (step @p132 :rule reordering :premises (@p131) :args ((or @t103 @t104 @t107 @t133 (not @t134)))) % 35.44/35.66 (step @p133 :rule chain_m_resolution :premises (@p132 @p73 @p72 @p42 @p130) :args (@t133 (@list false false false false) (@list @t82 @t81 @t84 @t134))) % 35.44/35.66 (step @p134 :rule bool-double-not-elim :args (@t113)) % 35.44/35.66 (step @p135 :rule nary_cong :premises (@p82 @p134) :args ((or @t115 (not @t114)))) % 35.44/35.66 (step @p136 :rule cnf_or_neg :args (@t115 0)) % 35.44/35.66 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 35.44/35.66 (step @p138 :rule reordering :premises (@p137) :args ((or @t113 @t115))) % 35.44/35.66 (step @p139 :rule chain_m_resolution :premises (@p138 @p80) :args (@t113 @t116 @t117)) % 35.44/35.66 (step @p140 :rule cnf_and_neg :args (@t132)) % 35.44/35.66 (step @p141 :rule reordering :premises (@p140) :args ((or @t114 @t112 @t132))) % 35.44/35.66 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p87) :args (@t132 @t108 (@list @t113 @t111))) % 35.44/35.66 (step @p143 :rule cnf_equiv_pos1 :args (@t133)) % 35.44/35.66 (step @p144 :rule reordering :premises (@p143) :args ((or @t131 (not @t132) (not @t133)))) % 35.44/35.66 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p133) :args (@t131 @t108 (@list @t132 @t133))) % 35.44/35.66 (step @p146 :rule aci_norm :args ((= (or @t95 @t12) (or @t94 @t93 @t12)))) % 35.44/35.66 (step @p147 :rule refl :args (@t12)) % 35.44/35.66 (step @p148 :rule nary_cong :premises (@p48 @p147) :args ((or @t96 @t12))) % 35.44/35.66 (step @p149 :rule trans :premises (@p148 @p146)) % 35.44/35.66 (step @p150 :rule bool-impl-elim :args (@t8 @t12)) % 35.44/35.66 (step @p151 :rule trans :premises (@p150 @p149)) % 35.44/35.66 (step @p152 :rule cong :premises (@p151) :args (@t13)) % 35.44/35.66 (step @p153 :rule eq_resolve :premises (@p6 @p152)) % 35.44/35.66 (step @p154 :rule instantiate :premises (@p153) :args ((@list tptp.xp @t109))) % 35.44/35.66 (step @p155 :rule cnf_or_pos :args (@t137)) % 35.44/35.66 (step @p156 :rule reordering :premises (@p155) :args ((or @t104 @t114 @t136 (not @t137)))) % 35.44/35.66 (step @p157 :rule chain_m_resolution :premises (@p156 @p72 @p139 @p154) :args (@t136 @t106 @t138)) % 35.44/35.66 (step @p158 :rule instantiate :premises (@p70) :args ((@list @t85 tptp.xn))) % 35.44/35.66 (step @p159 :rule true_intro :premises (@p139)) % 35.44/35.66 (step @p160 :rule cong :premises (@p145) :args (@t139)) % 35.44/35.66 (step @p161 :rule trans :premises (@p160 @p159)) % 35.44/35.66 (step @p162 :rule true_elim :premises (@p161)) % 35.44/35.66 (step @p163 :rule cnf_or_pos :args (@t145)) % 35.44/35.66 (step @p164 :rule reordering :premises (@p163) :args ((or @t103 @t144 @t143 (not @t145)))) % 35.44/35.66 (step @p165 :rule chain_m_resolution :premises (@p164 @p73 @p162 @p158) :args (@t143 @t106 (@list @t82 @t139 @t145))) % 35.44/35.66 (step @p166 :rule bool-impl-elim :args (@t2 @t146)) % 35.44/35.66 (step @p167 :rule cong :premises (@p166) :args ((forall @t3 (=> @t2 @t146)))) % 35.44/35.66 (step @p168 :rule refl :args (@t20)) % 35.44/35.66 (step @p169 :rule eq-symm :args (@t21 @t1)) % 35.44/35.66 (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t22)) % 35.44/35.66 (step @p171 :rule refl :args (@t2)) % 35.44/35.66 (step @p172 :rule cong :premises (@p171 @p170) :args (@t23)) % 35.44/35.66 (step @p173 :rule cong :premises (@p172) :args (@t24)) % 35.44/35.66 (step @p174 :rule trans :premises (@p173 @p167)) % 35.44/35.66 (step @p175 :rule eq_resolve :premises (@p8 @p174)) % 35.44/35.66 (step @p176 :rule instantiate :premises (@p175) :args ((@list tptp.xn))) % 35.44/35.66 (step @p177 :rule cnf_or_pos :args (@t151)) % 35.44/35.66 (step @p178 :rule reordering :premises (@p177) :args ((or @t103 @t150 (not @t151)))) % 35.44/35.66 (step @p179 :rule chain_m_resolution :premises (@p178 @p73 @p176) :args (@t150 @t108 (@list @t82 @t151))) % 35.44/35.66 (step @p180 :rule cnf_and_pos :args (@t150 1)) % 35.44/35.66 (step @p181 :rule reordering :premises (@p180) :args ((or @t148 (not @t150)))) % 35.44/35.66 (step @p182 :rule chain_m_resolution :premises (@p181 @p179) :args (@t148 @t152 (@list @t150))) % 35.44/35.66 (step @p183 :rule aci_norm :args ((= (or @t155 (or @t153 @t28)) @t154))) % 35.44/35.66 (step @p184 :rule refl :args (@t28)) % 35.44/35.66 (step @p185 :rule bool-or-de-morgan :args (@t32 @t30 false)) % 35.44/35.66 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((or (not @t33) @t28))) % 35.44/35.66 (step @p187 :rule bool-impl-elim :args (@t33 @t28)) % 35.44/35.66 (step @p188 :rule trans :premises (@p187 @p186)) % 35.44/35.66 (step @p189 :rule aci_norm :args ((= (or @t94 (or @t93 @t91)) @t155))) % 35.44/35.66 (step @p190 :rule bool-and-de-morgan :args (@t7 @t17 true)) % 35.44/35.66 (step @p191 :rule nary_cong :premises (@p102 @p190) :args ((or @t94 (not @t38)))) % 35.44/35.66 (step @p192 :rule bool-and-de-morgan :args (@t2 @t7 (and @t17))) % 35.44/35.66 (step @p193 :rule trans :premises (@p192 @p191)) % 35.44/35.66 (step @p194 :rule trans :premises (@p193 @p189)) % 35.44/35.66 (step @p195 :rule nary_cong :premises (@p194 @p188) :args ((or (not @t18) @t34))) % 35.44/35.66 (step @p196 :rule trans :premises (@p195 @p183)) % 35.44/35.66 (step @p197 :rule bool-impl-elim :args (@t18 @t34)) % 35.44/35.66 (step @p198 :rule trans :premises (@p197 @p196)) % 35.44/35.66 (step @p199 :rule cong :premises (@p198) :args (@t35)) % 35.44/35.66 (step @p200 :rule eq_resolve :premises (@p14 @p199)) % 35.44/35.66 (step @p201 :rule eq-symm :args (tptp.xp tptp.sz00)) % 35.44/35.66 (step @p202 :rule eq-symm :args (@t156 @t147)) % 35.44/35.66 (step @p203 :rule cong :premises (@p202) :args (@t157)) % 35.44/35.66 (step @p204 :rule eq-symm :args (@t158 @t149)) % 35.44/35.66 (step @p205 :rule cong :premises (@p204) :args (@t159)) % 35.44/35.66 (step @p206 :rule nary_cong :premises (@p205 @p203) :args (@t160)) % 35.44/35.66 (step @p207 :rule refl :args (@t161)) % 35.44/35.66 (step @p208 :rule refl :args (@t104)) % 35.44/35.66 (step @p209 :rule refl :args (@t103)) % 35.44/35.66 (step @p210 :rule nary_cong :premises (@p209 @p208 @p207 @p206 @p201) :args (@t163)) % 35.44/35.66 (step @p211 :rule refl :args (@t164)) % 35.44/35.66 (step @p212 :rule cong :premises (@p211 @p210) :args ((=> @t164 @t163))) % 35.44/35.66 (assume-push @p386 @t164) % 35.44/35.66 (step @p214 :rule instantiate :premises (@p200) :args ((@list tptp.xn tptp.xp tptp.sz00))) % 35.44/35.66 (step-pop @p387 :rule scope :premises (@p214)) % 35.44/35.66 (step @p215 :rule process_scope :premises (@p387) :args (@t163)) % 35.44/35.66 (step @p217 :rule eq_resolve :premises (@p215 @p212)) % 35.44/35.66 (step @p218 :rule implies_elim :premises (@p217)) % 35.44/35.66 (step @p219 :rule chain_m_resolution :premises (@p218 @p200) :args (@t169 @t152 (@list @t164))) % 35.44/35.66 (step @p220 :rule bool-impl-elim :args (@t2 @t173)) % 35.44/35.66 (step @p221 :rule cong :premises (@p220) :args ((forall @t3 (=> @t2 @t173)))) % 35.44/35.66 (step @p222 :rule aci_norm :args ((= (or (or @t93 @t171) @t174) @t172))) % 35.44/35.66 (step @p223 :rule refl :args (@t174)) % 35.44/35.66 (step @p224 :rule bool-and-de-morgan :args (@t7 @t70 true)) % 35.44/35.66 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or (not @t71) @t174))) % 35.44/35.66 (step @p226 :rule trans :premises (@p225 @p222)) % 35.44/35.66 (step @p227 :rule bool-impl-elim :args (@t71 @t174)) % 35.44/35.66 (step @p228 :rule trans :premises (@p227 @p226)) % 35.44/35.66 (step @p229 :rule cong :premises (@p228) :args ((forall @t73 (=> @t71 @t174)))) % 35.44/35.66 (step @p230 :rule eq-symm :args (@t5 @t1)) % 35.44/35.66 (step @p231 :rule eq-symm :args (@t5 tptp.sz10)) % 35.44/35.66 (step @p232 :rule nary_cong :premises (@p231 @p230) :args (@t69)) % 35.44/35.66 (step @p233 :rule refl :args (@t71)) % 35.44/35.66 (step @p234 :rule cong :premises (@p233 @p232) :args (@t72)) % 35.44/35.66 (step @p235 :rule cong :premises (@p234) :args (@t74)) % 35.44/35.66 (step @p236 :rule trans :premises (@p235 @p229)) % 35.44/35.66 (step @p237 :rule refl :args (@t75)) % 35.44/35.66 (step @p238 :rule refl :args (@t40)) % 35.44/35.66 (step @p239 :rule nary_cong :premises (@p238 @p237 @p236) :args (@t76)) % 35.44/35.66 (step @p240 :rule refl :args (@t77)) % 35.44/35.66 (step @p241 :rule cong :premises (@p240 @p239) :args (@t78)) % 35.44/35.66 (step @p242 :rule cong :premises (@p171 @p241) :args (@t79)) % 35.44/35.66 (step @p243 :rule cong :premises (@p242) :args (@t80)) % 35.44/35.66 (step @p244 :rule trans :premises (@p243 @p221)) % 35.44/35.66 (step @p245 :rule eq_resolve :premises (@p37 @p244)) % 35.44/35.66 (step @p246 :rule eq-symm :args (tptp.xp @t5)) % 35.44/35.66 (step @p247 :rule refl :args (@t170)) % 35.44/35.66 (step @p248 :rule refl :args (@t175)) % 35.44/35.66 (step @p249 :rule nary_cong :premises (@p94 @p248 @p247 @p246) :args (@t176)) % 35.44/35.66 (step @p250 :rule cong :premises (@p249) :args (@t177)) % 35.44/35.66 (step @p251 :rule eq-symm :args (tptp.xp tptp.sz10)) % 35.44/35.66 (step @p252 :rule cong :premises (@p251) :args (@t178)) % 35.44/35.66 (step @p253 :rule cong :premises (@p201) :args (@t179)) % 35.44/35.66 (step @p254 :rule nary_cong :premises (@p253 @p252 @p250) :args (@t180)) % 35.44/35.66 (step @p255 :rule refl :args (@t83)) % 35.44/35.66 (step @p256 :rule cong :premises (@p255 @p254) :args (@t181)) % 35.44/35.66 (step @p257 :rule nary_cong :premises (@p208 @p256) :args (@t182)) % 35.44/35.66 (step @p258 :rule refl :args (@t183)) % 35.44/35.66 (step @p259 :rule cong :premises (@p258 @p257) :args ((=> @t183 @t182))) % 35.44/35.66 (assume-push @p388 @t183) % 35.44/35.66 (step @p261 :rule instantiate :premises (@p245) :args (@t184)) % 35.44/35.66 (step-pop @p389 :rule scope :premises (@p261)) % 35.44/35.66 (step @p262 :rule process_scope :premises (@p389) :args (@t182)) % 35.44/35.66 (step @p264 :rule eq_resolve :premises (@p262 @p259)) % 35.44/35.66 (step @p265 :rule implies_elim :premises (@p264)) % 35.44/35.66 (step @p266 :rule chain_m_resolution :premises (@p265 @p245) :args (@t188 @t152 (@list @t183))) % 35.44/35.66 (step @p267 :rule cnf_or_pos :args (@t188)) % 35.44/35.66 (step @p268 :rule reordering :premises (@p267) :args ((or @t104 @t187 (not @t188)))) % 35.44/35.66 (step @p269 :rule chain_m_resolution :premises (@p268 @p72 @p266) :args (@t187 @t108 (@list @t81 @t188))) % 35.44/35.66 (step @p270 :rule and_elim :premises (@p41) :args (0)) % 35.44/35.66 (step @p271 :rule cnf_equiv_pos1 :args (@t187)) % 35.44/35.66 (step @p272 :rule reordering :premises (@p271) :args ((or (not @t83) @t186 (not @t187)))) % 35.44/35.66 (step @p273 :rule chain_m_resolution :premises (@p272 @p270 @p269) :args (@t186 @t108 (@list @t83 @t187))) % 35.44/35.66 (step @p274 :rule cnf_and_pos :args (@t186 0)) % 35.44/35.66 (step @p275 :rule reordering :premises (@p274) :args ((or @t185 (not @t186)))) % 35.44/35.66 (step @p276 :rule chain_m_resolution :premises (@p275 @p273) :args (@t185 @t152 (@list @t186))) % 35.44/35.66 (step @p277 :rule cnf_or_pos :args (@t169)) % 35.44/35.66 (step @p278 :rule reordering :premises (@p277) :args ((or @t161 @t103 @t104 @t165 @t168 (not @t169)))) % 35.44/35.66 (step @p279 :rule chain_m_resolution :premises (@p278 @p2 @p73 @p72 @p276 @p219) :args (@t168 (@list false false false true false) (@list @t4 @t82 @t81 @t165 @t169))) % 35.44/35.66 (step @p280 :rule cnf_and_pos :args (@t168 1)) % 35.44/35.66 (step @p281 :rule reordering :premises (@p280) :args ((or @t167 (not @t168)))) % 35.44/35.66 (step @p282 :rule chain_m_resolution :premises (@p281 @p279) :args (@t167 @t152 (@list @t168))) % 35.44/35.66 (assume-push @p390 @t189) % 35.44/35.66 (assume-push @p391 @t148) % 35.44/35.66 (assume-push @p392 @t111) % 35.44/35.66 (assume-push @p393 @t131) % 35.44/35.66 (assume-push @p394 @t189) % 35.44/35.66 (assume-push @p395 @t131) % 35.44/35.66 (assume-push @p396 @t111) % 35.44/35.66 (assume-push @p397 @t148) % 35.44/35.66 (step @p291 :rule symm :premises (@p390)) % 35.44/35.66 (step @p292 :rule symm :premises (@p145)) % 35.44/35.66 (step @p293 :rule trans :premises (@p292 @p291)) % 35.44/35.66 (step @p294 :rule refl :args (tptp.xp)) % 35.44/35.66 (step @p295 :rule cong :premises (@p294 @p293) :args (@t110)) % 35.44/35.66 (step @p296 :rule symm :premises (@p182)) % 35.44/35.66 (step @p297 :rule trans :premises (@p296 @p87 @p295)) % 35.44/35.66 (step-pop @p398 :rule scope :premises (@p297)) % 35.44/35.66 (step-pop @p399 :rule scope :premises (@p398)) % 35.44/35.66 (step-pop @p400 :rule scope :premises (@p399)) % 35.44/35.66 (step-pop @p401 :rule scope :premises (@p400)) % 35.44/35.66 (step @p298 :rule process_scope :premises (@p401) :args (@t166)) % 35.44/35.66 (step @p303 :rule and_intro :premises (@p390 @p145 @p87 @p182)) % 35.44/35.66 (step @p304 :rule modus_ponens :premises (@p303 @p298)) % 35.44/35.66 (step-pop @p402 :rule scope :premises (@p304)) % 35.44/35.66 (step-pop @p403 :rule scope :premises (@p402)) % 35.44/35.66 (step-pop @p404 :rule scope :premises (@p403)) % 35.44/35.66 (step-pop @p405 :rule scope :premises (@p404)) % 35.44/35.66 (step @p305 :rule process_scope :premises (@p405) :args (@t166)) % 35.44/35.66 (step @p310 :rule implies_elim :premises (@p305)) % 35.44/35.66 (step @p311 :rule cnf_and_neg :args (@t190)) % 35.44/35.66 (step @p312 :rule resolution :premises (@p311 @p310) :args (true @t190)) % 35.44/35.66 (step @p313 :rule chain_m_resolution :premises (@p312 @p282 @p145 @p87 @p182) :args (@t191 @t192 (@list @t166 @t131 @t111 @t148))) % 35.44/35.66 (step @p314 :rule refl :args (@t193)) % 35.44/35.66 (step @p315 :rule bool-double-not-elim :args (@t189)) % 35.44/35.66 (step @p316 :rule nary_cong :premises (@p315 @p314) :args ((or (not @t191) @t193))) % 35.44/35.66 (step @p317 :rule refl :args (tptp.xn)) % 35.44/35.66 (step @p318 :rule cong :premises (@p43 @p317) :args (@t86)) % 35.44/35.66 (step @p319 :rule cong :premises (@p317 @p43) :args (@t194)) % 35.44/35.66 (step @p320 :rule cong :premises (@p319) :args (@t195)) % 35.44/35.66 (step @p321 :rule nary_cong :premises (@p320 @p318) :args (@t196)) % 35.44/35.66 (step @p322 :rule cong :premises (@p321) :args ((not @t196))) % 35.44/35.66 (step @p323 :rule refl :args (@t86)) % 35.44/35.66 (step @p324 :rule eq-symm :args (tptp.xr tptp.xn)) % 35.44/35.66 (step @p325 :rule cong :premises (@p324) :args (@t87)) % 35.44/35.66 (step @p326 :rule nary_cong :premises (@p325 @p323) :args (@t88)) % 35.44/35.66 (step @p327 :rule cong :premises (@p326) :args (@t89)) % 35.44/35.66 (step @p328 :rule trans :premises (@p327 @p322)) % 35.44/35.66 (step @p329 :rule eq_resolve :premises (@p44 @p328)) % 35.44/35.66 (step @p330 :rule not_and :premises (@p329)) % 35.44/35.66 (step @p331 :rule eq_resolve :premises (@p330 @p316)) % 35.44/35.66 (step @p332 :rule chain_m_resolution :premises (@p331 @p313) :args (@t193 @t116 (@list @t189))) % 35.44/35.66 (step @p333 :rule bool-double-not-elim :args (@t140)) % 35.44/35.66 (step @p334 :rule refl :args (@t142)) % 35.44/35.66 (step @p335 :rule refl :args (@t197)) % 35.44/35.66 (step @p336 :rule nary_cong :premises (@p335 @p334 @p333) :args ((or @t197 @t142 (not @t141)))) % 35.44/35.66 (step @p337 :rule cnf_equiv_pos2 :args (@t143)) % 35.44/35.66 (step @p338 :rule eq_resolve :premises (@p337 @p336)) % 35.44/35.66 (step @p339 :rule reordering :premises (@p338) :args ((or @t142 @t140 @t197))) % 35.44/35.66 (step @p340 :rule chain_m_resolution :premises (@p339 @p332 @p165) :args (@t140 (@list true false) (@list @t142 @t143))) % 35.44/35.66 (assume-push @p406 @t140) % 35.44/35.66 (step @p342 :rule instantiate :premises (@p406) :args (@t184)) % 35.44/35.66 (step-pop @p407 :rule scope :premises (@p342)) % 35.44/35.66 (step @p343 :rule process_scope :premises (@p407) :args (@t200)) % 35.44/35.66 (step @p345 :rule implies_elim :premises (@p343)) % 35.44/35.66 (step @p346 :rule chain_m_resolution :premises (@p345 @p340) :args (@t200 @t152 (@list @t140))) % 35.44/35.66 (step @p347 :rule cnf_or_pos :args (@t200)) % 35.44/35.66 (step @p348 :rule reordering :premises (@p347) :args ((or @t104 @t199 (not @t200)))) % 35.44/35.66 (step @p349 :rule chain_m_resolution :premises (@p348 @p72 @p346) :args (@t199 @t108 (@list @t81 @t200))) % 35.44/35.66 (step @p350 :rule bool-double-not-elim :args (@t198)) % 35.44/35.66 (step @p351 :rule refl :args (@t201)) % 35.44/35.66 (step @p352 :rule refl :args (@t202)) % 35.44/35.66 (step @p353 :rule refl :args (@t112)) % 35.44/35.66 (step @p354 :rule nary_cong :premises (@p353 @p352 @p351 @p350) :args ((or @t112 @t202 @t201 (not @t199)))) % 35.44/35.66 (assume-push @p408 @t198) % 35.44/35.66 (assume-push @p409 @t199) % 35.44/35.66 (step @p357 :rule evaluate :args ((= true false))) % 35.44/35.66 (step @p358 :rule false_intro :premises (@p409)) % 35.44/35.66 (step @p294 :rule refl :args (tptp.xp)) % 35.44/35.66 (step @p292 :rule symm :premises (@p145)) % 35.44/35.66 (step @p359 :rule cong :premises (@p292 @p294) :args (@t135)) % 35.44/35.66 (step @p360 :rule chain_m_resolution :premises (@p156 @p72 @p139 @p154) :args (@t136 @t106 @t138)) % 35.44/35.66 (step @p361 :rule chain_m_resolution :premises (@p86 @p80) :args (@t111 @t116 @t117)) % 35.44/35.66 (step @p362 :rule trans :premises (@p361 @p360 @p359)) % 35.44/35.66 (step @p363 :rule true_intro :premises (@p362)) % 35.44/35.66 (step @p364 :rule symm :premises (@p363)) % 35.44/35.66 (step @p365 :rule trans :premises (@p364 @p358)) % 35.44/35.66 (step @p366 false :rule eq_resolve :premises (@p365 @p357)) % 35.44/35.66 (step-pop @p410 :rule scope :premises (@p366)) % 35.44/35.66 (step-pop @p411 :rule scope :premises (@p410)) % 35.44/35.66 (step @p367 :rule process_scope :premises (@p411) :args (false)) % 35.44/35.66 (assume-push @p412 @t111) % 35.44/35.66 (assume-push @p413 @t131) % 35.44/35.66 (assume-push @p414 @t136) % 35.44/35.66 (assume-push @p415 @t199) % 35.44/35.66 (step @p294 :rule refl :args (tptp.xp)) % 35.44/35.66 (step @p292 :rule symm :premises (@p145)) % 35.44/35.66 (step @p359 :rule cong :premises (@p292 @p294) :args (@t135)) % 35.44/35.66 (step @p374 :rule trans :premises (@p87 @p157 @p359)) % 35.44/35.66 (step @p375 :rule and_intro :premises (@p374 @p415)) % 35.44/35.66 (step-pop @p416 :rule scope :premises (@p375)) % 35.44/35.66 (step-pop @p417 :rule scope :premises (@p416)) % 35.44/35.66 (step-pop @p418 :rule scope :premises (@p417)) % 35.44/35.66 (step-pop @p419 :rule scope :premises (@p418)) % 35.44/35.66 (step @p376 :rule process_scope :premises (@p419) :args (@t203)) % 35.44/35.66 (step @p381 :rule implies_elim :premises (@p376)) % 35.44/35.66 (step @p382 :rule resolution :premises (@p381 @p367) :args (true @t203)) % 35.44/35.66 (step @p383 :rule not_and :premises (@p382)) % 35.44/35.66 (step @p384 :rule eq_resolve :premises (@p383 @p354)) % 35.44/35.66 (step @p385 false :rule chain_m_resolution :premises (@p384 @p349 @p157 @p145 @p87) :args (false @t192 (@list @t198 @t136 @t131 @t111))) % 35.44/35.66 ) % 35.44/35.66 % SZS output end Proof % 35.44/35.66 % cvc5 exiting %------------------------------------------------------------------------------