%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM506+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 : n009.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 08:39:39 AM UTC 2026 % Result : Theorem 39.88s 40.03s % Output : Proof 39.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM506+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 : n009.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 11:25:14 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 39.88/40.03 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 39.88/40.03 --- Run --no-e-matching --full-saturate-quant at 6... % 39.88/40.03 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 39.88/40.03 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 39.88/40.03 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 39.88/40.03 % SZS status Theorem % 39.88/40.03 % SZS output start Proof % 39.88/40.03 ( % 39.88/40.03 (declare-sort $$unsorted 0) % 39.88/40.03 (declare-const tptp.xr $$unsorted) % 39.88/40.03 (declare-const tptp.xk $$unsorted) % 39.88/40.03 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 39.88/40.03 (declare-const tptp.xm $$unsorted) % 39.88/40.03 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 39.88/40.03 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 39.88/40.03 (declare-const tptp.xn $$unsorted) % 39.88/40.03 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 39.88/40.03 (declare-const tptp.sz00 $$unsorted) % 39.88/40.03 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 39.88/40.03 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 39.88/40.03 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 39.88/40.03 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 39.88/40.03 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 39.88/40.03 (declare-const tptp.sz10 $$unsorted) % 39.88/40.03 (declare-const tptp.xp $$unsorted) % 39.88/40.03 (define @t1 () (@var "W0" $$unsorted)) % 39.88/40.03 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 39.88/40.03 (define @t3 () (@list @t1)) % 39.88/40.03 (define @t4 () (@var "W1" $$unsorted)) % 39.88/40.03 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 39.88/40.03 (define @t6 () (tptp.aNaturalNumber0 @t5)) % 39.88/40.03 (define @t7 () (tptp.aNaturalNumber0 @t4)) % 39.88/40.03 (define @t8 () (and @t2 @t7)) % 39.88/40.03 (define @t9 () (@list @t1 @t4)) % 39.88/40.03 (define @t10 () (forall @t9 (=> @t8 @t6))) % 39.88/40.03 (define @t11 () (tptp.sdtasdt0 @t1 @t4)) % 39.88/40.03 (define @t12 () (tptp.aNaturalNumber0 @t11)) % 39.88/40.03 (define @t13 () (forall @t9 (=> @t8 @t12))) % 39.88/40.03 (define @t14 () (tptp.sdtpldt0 @t4 @t1)) % 39.88/40.03 (define @t15 () (= @t5 @t14)) % 39.88/40.03 (define @t16 () (forall @t9 (=> @t8 @t15))) % 39.88/40.03 (define @t17 () (@var "W2" $$unsorted)) % 39.88/40.03 (define @t18 () (tptp.sdtpldt0 @t4 @t17)) % 39.88/40.03 (define @t19 () (tptp.sdtpldt0 @t5 @t17)) % 39.88/40.03 (define @t20 () (tptp.aNaturalNumber0 @t17)) % 39.88/40.03 (define @t21 () (and @t2 @t7 @t20)) % 39.88/40.03 (define @t22 () (@list @t1 @t4 @t17)) % 39.88/40.03 (define @t23 () (tptp.sdtasdt0 @t4 @t1)) % 39.88/40.03 (define @t24 () (tptp.sdtasdt0 @t17 @t1)) % 39.88/40.03 (define @t25 () (tptp.sdtasdt0 @t1 @t17)) % 39.88/40.03 (define @t26 () (= @t4 @t17)) % 39.88/40.03 (define @t27 () (tptp.sdtpldt0 @t17 @t1)) % 39.88/40.03 (define @t28 () (= @t14 @t27)) % 39.88/40.03 (define @t29 () (tptp.sdtpldt0 @t1 @t17)) % 39.88/40.03 (define @t30 () (= @t5 @t29)) % 39.88/40.03 (define @t31 () (or @t30 @t28)) % 39.88/40.03 (define @t32 () (=> @t31 @t26)) % 39.88/40.03 (define @t33 () (forall @t22 (=> @t21 @t32))) % 39.88/40.03 (define @t34 () (= @t23 @t24)) % 39.88/40.03 (define @t35 () (= @t11 @t25)) % 39.88/40.03 (define @t36 () (and @t7 @t20)) % 39.88/40.03 (define @t37 () (= @t1 tptp.sz00)) % 39.88/40.03 (define @t38 () (not @t37)) % 39.88/40.03 (define @t39 () (= @t4 tptp.sz00)) % 39.88/40.03 (define @t40 () (and @t20 (= @t29 @t4))) % 39.88/40.03 (define @t41 () (@list @t17)) % 39.88/40.03 (define @t42 () (tptp.sdtlseqdt0 @t1 @t4)) % 39.88/40.03 (define @t43 () (tptp.sdtlseqdt0 @t1 @t1)) % 39.88/40.03 (define @t44 () (forall @t3 (=> @t2 @t43))) % 39.88/40.03 (define @t45 () (= @t1 @t4)) % 39.88/40.03 (define @t46 () (tptp.sdtlseqdt0 @t4 @t1)) % 39.88/40.03 (define @t47 () (and @t42 @t46)) % 39.88/40.03 (define @t48 () (=> @t47 @t45)) % 39.88/40.03 (define @t49 () (forall @t9 (=> @t8 @t48))) % 39.88/40.03 (define @t50 () (tptp.sdtlseqdt0 @t1 @t17)) % 39.88/40.03 (define @t51 () (tptp.sdtlseqdt0 @t4 @t17)) % 39.88/40.03 (define @t52 () (and @t42 @t51)) % 39.88/40.03 (define @t53 () (=> @t52 @t50)) % 39.88/40.03 (define @t54 () (forall @t22 (=> @t21 @t53))) % 39.88/40.03 (define @t55 () (= @t4 @t1)) % 39.88/40.03 (define @t56 () (not @t55)) % 39.88/40.03 (define @t57 () (and @t56 @t46)) % 39.88/40.03 (define @t58 () (or @t42 @t57)) % 39.88/40.03 (define @t59 () (=> @t8 @t58)) % 39.88/40.03 (define @t60 () (forall @t9 @t59)) % 39.88/40.03 (define @t61 () (tptp.sdtlseqdt0 @t29 @t18)) % 39.88/40.03 (define @t62 () (not (= @t29 @t18))) % 39.88/40.03 (define @t63 () (tptp.sdtpldt0 @t17 @t4)) % 39.88/40.03 (define @t64 () (tptp.sdtlseqdt0 @t27 @t63)) % 39.88/40.03 (define @t65 () (not (= @t27 @t63))) % 39.88/40.03 (define @t66 () (and @t65 @t64 @t62 @t61)) % 39.88/40.03 (define @t67 () (=> @t20 @t66)) % 39.88/40.03 (define @t68 () (forall @t41 @t67)) % 39.88/40.03 (define @t69 () (not @t45)) % 39.88/40.03 (define @t70 () (and @t69 @t42)) % 39.88/40.03 (define @t71 () (=> @t70 @t68)) % 39.88/40.03 (define @t72 () (=> @t8 @t71)) % 39.88/40.03 (define @t73 () (forall @t9 @t72)) % 39.88/40.03 (define @t74 () (= @t1 tptp.sz10)) % 39.88/40.03 (define @t75 () (tptp.iLess0 @t1 @t4)) % 39.88/40.03 (define @t76 () (=> @t70 @t75)) % 39.88/40.03 (define @t77 () (forall @t9 (=> @t8 @t76))) % 39.88/40.03 (define @t78 () (and @t20 (= @t4 @t25))) % 39.88/40.03 (define @t79 () (tptp.doDivides0 @t1 @t4)) % 39.88/40.03 (define @t80 () (tptp.sdtsldt0 @t4 @t1)) % 39.88/40.03 (define @t81 () (= @t17 @t80)) % 39.88/40.03 (define @t82 () (forall @t41 (= @t81 @t78))) % 39.88/40.03 (define @t83 () (and @t38 @t79)) % 39.88/40.03 (define @t84 () (=> @t83 @t82)) % 39.88/40.03 (define @t85 () (=> @t8 @t84)) % 39.88/40.03 (define @t86 () (forall @t9 @t85)) % 39.88/40.03 (define @t87 () (tptp.doDivides0 @t1 @t17)) % 39.88/40.03 (define @t88 () (tptp.doDivides0 @t1 @t18)) % 39.88/40.03 (define @t89 () (or (= @t4 tptp.sz10) @t55)) % 39.88/40.03 (define @t90 () (tptp.doDivides0 @t4 @t1)) % 39.88/40.03 (define @t91 () (and @t7 @t90)) % 39.88/40.03 (define @t92 () (=> @t91 @t89)) % 39.88/40.03 (define @t93 () (@list @t4)) % 39.88/40.03 (define @t94 () (forall @t93 @t92)) % 39.88/40.03 (define @t95 () (not @t74)) % 39.88/40.03 (define @t96 () (and @t38 @t95 @t94)) % 39.88/40.03 (define @t97 () (tptp.isPrime0 @t1)) % 39.88/40.03 (define @t98 () (= @t97 @t96)) % 39.88/40.03 (define @t99 () (=> @t2 @t98)) % 39.88/40.03 (define @t100 () (forall @t3 @t99)) % 39.88/40.03 (define @t101 () (tptp.aNaturalNumber0 tptp.xp)) % 39.88/40.03 (define @t102 () (tptp.aNaturalNumber0 tptp.xm)) % 39.88/40.03 (define @t103 () (tptp.aNaturalNumber0 tptp.xn)) % 39.88/40.03 (define @t104 () (tptp.doDivides0 @t17 @t4)) % 39.88/40.03 (define @t105 () (tptp.doDivides0 @t17 @t1)) % 39.88/40.03 (define @t106 () (or @t105 @t104)) % 39.88/40.03 (define @t107 () (tptp.sdtpldt0 tptp.xn tptp.xm)) % 39.88/40.03 (define @t108 () (tptp.sdtpldt0 @t107 tptp.xp)) % 39.88/40.03 (define @t109 () (tptp.iLess0 @t19 @t108)) % 39.88/40.03 (define @t110 () (=> @t109 @t106)) % 39.88/40.03 (define @t111 () (tptp.doDivides0 @t17 @t11)) % 39.88/40.03 (define @t112 () (tptp.isPrime0 @t17)) % 39.88/40.03 (define @t113 () (and @t112 @t111)) % 39.88/40.03 (define @t114 () (=> @t113 @t110)) % 39.88/40.03 (define @t115 () (forall @t22 (=> @t21 @t114))) % 39.88/40.03 (define @t116 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 39.88/40.03 (define @t117 () (tptp.doDivides0 tptp.xp @t116)) % 39.88/40.03 (define @t118 () (tptp.isPrime0 tptp.xp)) % 39.88/40.03 (define @t119 () (tptp.sdtsldt0 @t116 tptp.xp)) % 39.88/40.03 (define @t120 () (= tptp.xk tptp.sz10)) % 39.88/40.03 (define @t121 () (= tptp.xk tptp.sz00)) % 39.88/40.03 (define @t122 () (tptp.isPrime0 tptp.xr)) % 39.88/40.03 (define @t123 () (tptp.aNaturalNumber0 tptp.xr)) % 39.88/40.03 (define @t124 () (tptp.doDivides0 tptp.xr @t116)) % 39.88/40.03 (define @t125 () (tptp.sdtlseqdt0 tptp.xr tptp.xk)) % 39.88/40.03 (define @t126 () (tptp.sdtlseqdt0 tptp.xk tptp.xp)) % 39.88/40.03 (define @t127 () (not (= tptp.xk tptp.xp))) % 39.88/40.03 (define @t128 () (tptp.doDivides0 tptp.xr tptp.xm)) % 39.88/40.03 (define @t129 () (tptp.doDivides0 tptp.xr tptp.xn)) % 39.88/40.03 (define @t130 () (not @t51)) % 39.88/40.03 (define @t131 () (not @t42)) % 39.88/40.03 (define @t132 () (not @t20)) % 39.88/40.03 (define @t133 () (not @t7)) % 39.88/40.03 (define @t134 () (not @t2)) % 39.88/40.03 (define @t135 () (or @t134 @t133 @t132 @t131 @t130 @t50)) % 39.88/40.03 (define @t136 () (or @t131 @t130 @t50)) % 39.88/40.03 (define @t137 () (or @t134 @t133 @t132)) % 39.88/40.03 (define @t138 () (not @t21)) % 39.88/40.03 (define @t139 () (@list tptp.xp)) % 39.88/40.03 (define @t140 () (tptp.sdtlseqdt0 tptp.xp tptp.xp)) % 39.88/40.03 (define @t141 () (not @t101)) % 39.88/40.03 (define @t142 () (or @t141 @t140)) % 39.88/40.03 (define @t143 () (@list false false)) % 39.88/40.03 (define @t144 () (tptp.sdtlseqdt0 tptp.xp tptp.xr)) % 39.88/40.03 (define @t145 () (= tptp.xp tptp.xr)) % 39.88/40.03 (define @t146 () (not @t145)) % 39.88/40.03 (define @t147 () (not @t140)) % 39.88/40.03 (define @t148 () (not @t144)) % 39.88/40.03 (define @t149 () (and @t69 @t46)) % 39.88/40.03 (define @t150 () (or @t42 @t149)) % 39.88/40.03 (define @t151 () (or @t134 @t133)) % 39.88/40.03 (define @t152 () (not @t8)) % 39.88/40.03 (define @t153 () (tptp.sdtlseqdt0 tptp.xr tptp.xp)) % 39.88/40.03 (define @t154 () (and @t146 @t153)) % 39.88/40.03 (define @t155 () (not @t123)) % 39.88/40.03 (define @t156 () (or @t141 @t155 @t144 @t154)) % 39.88/40.03 (define @t157 () (tptp.sdtpldt0 tptp.xm tptp.xn)) % 39.88/40.03 (define @t158 () (tptp.aNaturalNumber0 @t157)) % 39.88/40.03 (define @t159 () (not @t103)) % 39.88/40.03 (define @t160 () (not @t102)) % 39.88/40.03 (define @t161 () (or @t160 @t159 @t158)) % 39.88/40.03 (define @t162 () (@list false false false)) % 39.88/40.03 (define @t163 () (and (not @t30) (not @t28))) % 39.88/40.03 (define @t164 () (tptp.sdtpldt0 tptp.xr @t157)) % 39.88/40.03 (define @t165 () (tptp.sdtpldt0 tptp.xp @t157)) % 39.88/40.03 (define @t166 () (not (= @t165 @t164))) % 39.88/40.03 (define @t167 () (tptp.sdtpldt0 @t157 tptp.xr)) % 39.88/40.03 (define @t168 () (tptp.sdtpldt0 @t157 tptp.xp)) % 39.88/40.03 (define @t169 () (= @t168 @t167)) % 39.88/40.03 (define @t170 () (not @t169)) % 39.88/40.03 (define @t171 () (and @t170 @t166)) % 39.88/40.03 (define @t172 () (not @t158)) % 39.88/40.03 (define @t173 () (or @t172 @t141 @t155 @t171 @t145)) % 39.88/40.03 (define @t174 () (@var "BOUND_VARIABLE_7951" $$unsorted)) % 39.88/40.03 (define @t175 () (tptp.sdtpldt0 @t4 @t174)) % 39.88/40.03 (define @t176 () (tptp.sdtpldt0 @t1 @t174)) % 39.88/40.03 (define @t177 () (tptp.sdtpldt0 @t174 @t4)) % 39.88/40.03 (define @t178 () (tptp.sdtpldt0 @t174 @t1)) % 39.88/40.03 (define @t179 () (and (not (= @t178 @t177)) (tptp.sdtlseqdt0 @t178 @t177) (not (= @t175 @t176)) (tptp.sdtlseqdt0 @t176 @t175))) % 39.88/40.03 (define @t180 () (not (tptp.aNaturalNumber0 @t174))) % 39.88/40.03 (define @t181 () (or @t134 @t133 @t45 @t131 @t180 @t179)) % 39.88/40.03 (define @t182 () (or @t180 @t179)) % 39.88/40.03 (define @t183 () (or @t134 @t133 @t45 @t131 @t182)) % 39.88/40.03 (define @t184 () (@list @t1 @t4 @t174)) % 39.88/40.03 (define @t185 () (forall @t184 @t183)) % 39.88/40.03 (define @t186 () (@list @t174)) % 39.88/40.03 (define @t187 () (forall @t186 @t183)) % 39.88/40.03 (define @t188 () (forall @t186 @t182)) % 39.88/40.03 (define @t189 () (@list @t17)) % 39.88/40.03 (define @t190 () (or @t134 @t133 @t45 @t131 @t188)) % 39.88/40.03 (define @t191 () (and @t65 @t64 (not (= @t18 @t29)) @t61)) % 39.88/40.03 (define @t192 () (forall @t41 (or @t132 @t191))) % 39.88/40.03 (define @t193 () (or @t134 @t133 @t45 @t131 @t192)) % 39.88/40.03 (define @t194 () (or @t45 @t131 @t192)) % 39.88/40.03 (define @t195 () (or @t45 @t131)) % 39.88/40.03 (define @t196 () (not @t70)) % 39.88/40.03 (define @t197 () (=> @t70 @t192)) % 39.88/40.03 (define @t198 () (tptp.sdtlseqdt0 @t164 @t165)) % 39.88/40.03 (define @t199 () (tptp.sdtlseqdt0 @t167 @t168)) % 39.88/40.03 (define @t200 () (not (= @t167 @t168))) % 39.88/40.03 (define @t201 () (and @t200 @t199 @t166 @t198)) % 39.88/40.03 (define @t202 () (not @t153)) % 39.88/40.03 (define @t203 () (or @t155 @t141 (= tptp.xr tptp.xp) @t202 @t172 @t201)) % 39.88/40.03 (define @t204 () (forall @t184 @t181)) % 39.88/40.03 (define @t205 () (and @t170 @t199 @t166 @t198)) % 39.88/40.03 (define @t206 () (or @t155 @t141 @t145 @t202 @t172 @t205)) % 39.88/40.03 (define @t207 () (@list false)) % 39.88/40.03 (define @t208 () (@list tptp.xn tptp.xm)) % 39.88/40.03 (define @t209 () (= @t107 @t157)) % 39.88/40.03 (define @t210 () (or @t159 @t160 @t209)) % 39.88/40.03 (define @t211 () (tptp.sdtpldt0 @t107 tptp.xr)) % 39.88/40.03 (define @t212 () (= @t108 @t211)) % 39.88/40.03 (define @t213 () (not @t212)) % 39.88/40.03 (define @t214 () (not @t209)) % 39.88/40.03 (define @t215 () (and @t209 @t170)) % 39.88/40.03 (define @t216 () (@list @t107 tptp.xp)) % 39.88/40.03 (define @t217 () (tptp.aNaturalNumber0 @t107)) % 39.88/40.03 (define @t218 () (or @t159 @t160 @t217)) % 39.88/40.03 (define @t219 () (= @t108 (tptp.sdtpldt0 tptp.xp @t107))) % 39.88/40.03 (define @t220 () (not @t217)) % 39.88/40.03 (define @t221 () (or @t220 @t141 @t219)) % 39.88/40.03 (define @t222 () (@list @t107 tptp.xr)) % 39.88/40.03 (define @t223 () (= @t211 (tptp.sdtpldt0 tptp.xr @t107))) % 39.88/40.03 (define @t224 () (or @t220 @t155 @t223)) % 39.88/40.03 (define @t225 () (tptp.sdtlseqdt0 @t211 @t108)) % 39.88/40.03 (define @t226 () (and @t209 @t219 @t223 @t199)) % 39.88/40.03 (define @t227 () (not @t109)) % 39.88/40.03 (define @t228 () (not @t111)) % 39.88/40.03 (define @t229 () (not @t112)) % 39.88/40.03 (define @t230 () (or @t229 @t228 @t227 @t105 @t104)) % 39.88/40.03 (define @t231 () (or @t227 @t105 @t104)) % 39.88/40.03 (define @t232 () (tptp.iLess0 @t211 @t108)) % 39.88/40.03 (define @t233 () (not @t232)) % 39.88/40.03 (define @t234 () (not @t124)) % 39.88/40.03 (define @t235 () (not @t122)) % 39.88/40.03 (define @t236 () (or @t159 @t160 @t155 @t235 @t234 @t233 @t129 @t128)) % 39.88/40.03 (define @t237 () (or @t134 @t133 @t45 @t131 @t75)) % 39.88/40.03 (define @t238 () (or @t45 @t131 @t75)) % 39.88/40.03 (define @t239 () (not @t225)) % 39.88/40.03 (define @t240 () (tptp.aNaturalNumber0 @t108)) % 39.88/40.03 (define @t241 () (not @t240)) % 39.88/40.03 (define @t242 () (tptp.aNaturalNumber0 @t211)) % 39.88/40.03 (define @t243 () (not @t242)) % 39.88/40.03 (define @t244 () (or @t243 @t241 (= @t211 @t108) @t239 @t232)) % 39.88/40.03 (define @t245 () (forall @t9 @t237)) % 39.88/40.03 (define @t246 () (or @t243 @t241 @t212 @t239 @t232)) % 39.88/40.03 (define @t247 () (or @t220 @t155 @t242)) % 39.88/40.03 (define @t248 () (or @t220 @t141 @t240)) % 39.88/40.03 (define @t249 () (not @t46)) % 39.88/40.03 (define @t250 () (or @t134 @t133 @t131 @t249 @t45)) % 39.88/40.03 (define @t251 () (or @t131 @t249 @t45)) % 39.88/40.03 (define @t252 () (tptp.sdtlseqdt0 tptp.xp @t119)) % 39.88/40.03 (define @t253 () (not @t252)) % 39.88/40.03 (define @t254 () (tptp.sdtlseqdt0 @t119 tptp.xp)) % 39.88/40.03 (define @t255 () (not @t254)) % 39.88/40.03 (define @t256 () (tptp.aNaturalNumber0 @t119)) % 39.88/40.03 (define @t257 () (not @t256)) % 39.88/40.03 (define @t258 () (or @t257 @t141 @t255 @t253 (= @t119 tptp.xp))) % 39.88/40.03 (define @t259 () (forall @t9 @t250)) % 39.88/40.03 (define @t260 () (= tptp.xp @t119)) % 39.88/40.03 (define @t261 () (or @t257 @t141 @t255 @t253 @t260)) % 39.88/40.03 (define @t262 () (@var "BOUND_VARIABLE_8021" $$unsorted)) % 39.88/40.03 (define @t263 () (and (tptp.aNaturalNumber0 @t262) (= @t4 (tptp.sdtasdt0 @t1 @t262)))) % 39.88/40.03 (define @t264 () (= @t263 (= @t262 @t80))) % 39.88/40.03 (define @t265 () (not @t79)) % 39.88/40.03 (define @t266 () (or @t134 @t133 @t37 @t265 @t264)) % 39.88/40.03 (define @t267 () (@list @t1 @t4 @t262)) % 39.88/40.03 (define @t268 () (forall @t267 @t266)) % 39.88/40.03 (define @t269 () (@list @t262)) % 39.88/40.03 (define @t270 () (forall @t269 @t266)) % 39.88/40.03 (define @t271 () (forall @t269 @t264)) % 39.88/40.03 (define @t272 () (or @t134 @t133 @t37 @t265 @t271)) % 39.88/40.03 (define @t273 () (forall @t41 (= @t78 @t81))) % 39.88/40.03 (define @t274 () (or @t134 @t133 @t37 @t265 @t273)) % 39.88/40.03 (define @t275 () (or @t37 @t265 @t273)) % 39.88/40.03 (define @t276 () (=> @t83 @t273)) % 39.88/40.03 (define @t277 () (and @t256 (= @t116 (tptp.sdtasdt0 tptp.xp @t119)))) % 39.88/40.03 (define @t278 () (= @t119 @t119)) % 39.88/40.03 (define @t279 () (not @t117)) % 39.88/40.03 (define @t280 () (tptp.aNaturalNumber0 @t116)) % 39.88/40.03 (define @t281 () (not @t280)) % 39.88/40.03 (define @t282 () (= tptp.xp tptp.sz00)) % 39.88/40.03 (define @t283 () (or @t141 @t281 @t282 @t279 (= @t277 @t278))) % 39.88/40.03 (define @t284 () (forall @t267 (or @t134 @t133 @t37 @t265 (= @t263 (= @t80 @t262))))) % 39.88/40.03 (define @t285 () (= tptp.sz00 tptp.xp)) % 39.88/40.03 (define @t286 () (or @t141 @t281 @t285 @t279 @t277)) % 39.88/40.03 (define @t287 () (or @t159 @t160 @t280)) % 39.88/40.03 (define @t288 () (= tptp.sz10 @t4)) % 39.88/40.03 (define @t289 () (not @t90)) % 39.88/40.03 (define @t290 () (or @t133 @t289 @t288 @t45)) % 39.88/40.03 (define @t291 () (= @t97 (and @t38 @t95 (forall @t93 @t290)))) % 39.88/40.03 (define @t292 () (or @t288 @t45)) % 39.88/40.03 (define @t293 () (not (tptp.doDivides0 @t4 tptp.xp))) % 39.88/40.03 (define @t294 () (or @t133 @t293 @t288 (= tptp.xp @t4))) % 39.88/40.03 (define @t295 () (forall @t93 @t294)) % 39.88/40.03 (define @t296 () (not (= tptp.xp tptp.sz10))) % 39.88/40.03 (define @t297 () (not @t282)) % 39.88/40.03 (define @t298 () (and @t297 @t296 @t295)) % 39.88/40.03 (define @t299 () (= @t118 @t298)) % 39.88/40.03 (define @t300 () (or @t141 @t299)) % 39.88/40.03 (define @t301 () (forall @t3 (or @t134 @t291))) % 39.88/40.03 (define @t302 () (not @t285)) % 39.88/40.03 (define @t303 () (and @t302 (not (= tptp.sz10 tptp.xp)) (forall @t93 (or @t133 @t293 @t288 (= @t4 tptp.xp))))) % 39.88/40.03 (define @t304 () (= @t118 @t303)) % 39.88/40.03 (define @t305 () (or @t141 @t304)) % 39.88/40.03 (define @t306 () (= tptp.xp tptp.xk)) % 39.88/40.03 (define @t307 () (tptp.sdtlseqdt0 tptp.xr @t119)) % 39.88/40.03 (define @t308 () (not @t307)) % 39.88/40.03 (define @t309 () (or @t141 @t155 @t257 @t148 @t308 @t252)) % 39.88/40.03 (define @t310 () (not @t309)) % 39.88/40.03 (define @t311 () (forall @t22 @t135)) % 39.88/40.03 (assume @p1 (forall @t3 (=> @t2 true))) % 39.88/40.03 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 39.88/40.03 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 39.88/40.03 (assume @p4 @t10) % 39.88/40.03 (assume @p5 @t13) % 39.88/40.03 (assume @p6 @t16) % 39.88/40.03 (assume @p7 (forall @t22 (=> @t21 (= @t19 (tptp.sdtpldt0 @t1 @t18))))) % 39.88/40.03 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 39.88/40.03 (assume @p9 (forall @t9 (=> @t8 (= @t11 @t23)))) % 39.88/40.03 (assume @p10 (forall @t22 (=> @t21 (= (tptp.sdtasdt0 @t11 @t17) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t17)))))) % 39.88/40.03 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 39.88/40.03 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 39.88/40.03 (assume @p13 (forall @t22 (=> @t21 (and (= (tptp.sdtasdt0 @t1 @t18) (tptp.sdtpldt0 @t11 @t25)) (= (tptp.sdtasdt0 @t18 @t1) (tptp.sdtpldt0 @t23 @t24)))))) % 39.88/40.03 (assume @p14 @t33) % 39.88/40.03 (assume @p15 (forall @t3 (=> @t2 (=> @t38 (forall (@list @t4 @t17) (=> @t36 (=> (or @t35 @t34) @t26))))))) % 39.88/40.03 (assume @p16 (forall @t9 (=> @t8 (=> (= @t5 tptp.sz00) (and @t37 @t39))))) % 39.88/40.03 (assume @p17 (forall @t9 (=> @t8 (=> (= @t11 tptp.sz00) (or @t37 @t39))))) % 39.88/40.03 (assume @p18 (forall @t9 (=> @t8 (= @t42 (exists @t41 @t40))))) % 39.88/40.03 (assume @p19 (forall @t9 (=> @t8 (=> @t42 (forall @t41 (= (= @t17 (tptp.sdtmndt0 @t4 @t1)) @t40)))))) % 39.88/40.03 (assume @p20 @t44) % 39.88/40.03 (assume @p21 @t49) % 39.88/40.03 (assume @p22 @t54) % 39.88/40.03 (assume @p23 @t60) % 39.88/40.03 (assume @p24 @t73) % 39.88/40.03 (assume @p25 (forall @t22 (=> @t21 (=> (and @t38 (not @t26) @t51) (and (not @t35) (tptp.sdtlseqdt0 @t11 @t25) (not @t34) (tptp.sdtlseqdt0 @t23 @t24)))))) % 39.88/40.03 (assume @p26 (forall @t3 (=> @t2 (or @t37 @t74 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 39.88/40.03 (assume @p27 (forall @t9 (=> @t8 (=> @t38 (tptp.sdtlseqdt0 @t4 @t23))))) % 39.88/40.03 (assume @p28 (forall @t9 (=> @t8 (=> @t75 true)))) % 39.88/40.03 (assume @p29 @t77) % 39.88/40.03 (assume @p30 (forall @t9 (=> @t8 (= @t79 (exists @t41 @t78))))) % 39.88/40.03 (assume @p31 @t86) % 39.88/40.03 (assume @p32 (forall @t22 (=> @t21 (=> (and @t79 (tptp.doDivides0 @t4 @t17)) @t87)))) % 39.88/40.03 (assume @p33 (forall @t22 (=> @t21 (=> (and @t79 @t87) @t88)))) % 39.88/40.03 (assume @p34 (forall @t22 (=> @t21 (=> (and @t79 @t88) @t87)))) % 39.88/40.03 (assume @p35 (forall @t9 (=> @t8 (=> (and @t79 (not @t39)) @t42)))) % 39.88/40.03 (assume @p36 (forall @t9 (=> @t8 (=> @t83 (forall @t41 (=> @t20 (= (tptp.sdtasdt0 @t17 @t80) (tptp.sdtsldt0 (tptp.sdtasdt0 @t17 @t4) @t1)))))))) % 39.88/40.03 (assume @p37 @t100) % 39.88/40.03 (assume @p38 (forall @t3 (=> (and @t2 @t38 @t95) (exists @t93 (and @t7 @t90 (tptp.isPrime0 @t4)))))) % 39.88/40.03 (assume @p39 (and @t103 @t102 @t101)) % 39.88/40.03 (assume @p40 @t115) % 39.88/40.03 (assume @p41 (and @t118 @t117)) % 39.88/40.03 (assume @p42 (not (tptp.sdtlseqdt0 tptp.xp tptp.xn))) % 39.88/40.03 (assume @p43 (not (tptp.sdtlseqdt0 tptp.xp tptp.xm))) % 39.88/40.03 (assume @p44 (and (not (= tptp.xn tptp.xp)) (tptp.sdtlseqdt0 tptp.xn tptp.xp) (not (= tptp.xm tptp.xp)) (tptp.sdtlseqdt0 tptp.xm tptp.xp))) % 39.88/40.03 (assume @p45 (= tptp.xk @t119)) % 39.88/40.03 (assume @p46 (not (or @t121 @t120))) % 39.88/40.03 (assume @p47 (and (not @t121) (not @t120))) % 39.88/40.03 (assume @p48 (and @t123 (tptp.doDivides0 tptp.xr tptp.xk) @t122)) % 39.88/40.03 (assume @p49 (and @t125 @t124)) % 39.88/40.03 (assume @p50 (and @t127 @t126)) % 39.88/40.03 (assume @p51 (not (or @t129 @t128))) % 39.88/40.03 (assume @p52 true) % 39.88/40.03 (step @p53 :rule aci_norm :args ((= (or @t137 @t136) @t135))) % 39.88/40.03 (step @p54 :rule aci_norm :args ((= (or (or @t131 @t130) @t50) @t136))) % 39.88/40.03 (step @p55 :rule refl :args (@t50)) % 39.88/40.03 (step @p56 :rule bool-and-de-morgan :args (@t42 @t51 true)) % 39.88/40.03 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t52) @t50))) % 39.88/40.03 (step @p58 :rule trans :premises (@p57 @p54)) % 39.88/40.03 (step @p59 :rule bool-impl-elim :args (@t52 @t50)) % 39.88/40.03 (step @p60 :rule trans :premises (@p59 @p58)) % 39.88/40.03 (step @p61 :rule aci_norm :args ((= (or @t134 (or @t133 @t132)) @t137))) % 39.88/40.03 (step @p62 :rule bool-and-de-morgan :args (@t7 @t20 true)) % 39.88/40.03 (step @p63 :rule refl :args (@t134)) % 39.88/40.03 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t134 (not @t36)))) % 39.88/40.03 (step @p65 :rule bool-and-de-morgan :args (@t2 @t7 (and @t20))) % 39.88/40.03 (step @p66 :rule trans :premises (@p65 @p64)) % 39.88/40.03 (step @p67 :rule trans :premises (@p66 @p61)) % 39.88/40.03 (step @p68 :rule nary_cong :premises (@p67 @p60) :args ((or @t138 @t53))) % 39.88/40.03 (step @p69 :rule trans :premises (@p68 @p53)) % 39.88/40.03 (step @p70 :rule bool-impl-elim :args (@t21 @t53)) % 39.88/40.03 (step @p71 :rule trans :premises (@p70 @p69)) % 39.88/40.03 (step @p72 :rule cong :premises (@p71) :args (@t54)) % 39.88/40.03 (step @p73 :rule eq_resolve :premises (@p22 @p72)) % 39.88/40.03 (step @p74 :rule bool-impl-elim :args (@t2 @t43)) % 39.88/40.03 (step @p75 :rule cong :premises (@p74) :args (@t44)) % 39.88/40.03 (step @p76 :rule eq_resolve :premises (@p20 @p75)) % 39.88/40.03 (step @p77 :rule instantiate :premises (@p76) :args (@t139)) % 39.88/40.03 (step @p78 :rule and_elim :premises (@p39) :args (2)) % 39.88/40.03 (step @p79 :rule cnf_or_pos :args (@t142)) % 39.88/40.03 (step @p80 :rule reordering :premises (@p79) :args ((or @t141 @t140 (not @t142)))) % 39.88/40.03 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p77) :args (@t140 @t143 (@list @t101 @t142))) % 39.88/40.03 (step @p82 :rule bool-double-not-elim :args (@t144)) % 39.88/40.03 (step @p83 :rule refl :args (@t146)) % 39.88/40.03 (step @p84 :rule refl :args (@t147)) % 39.88/40.03 (step @p85 :rule nary_cong :premises (@p84 @p83 @p82) :args ((or @t147 @t146 (not @t148)))) % 39.88/40.03 (assume-push @p585 @t140) % 39.88/40.03 (assume-push @p586 @t145) % 39.88/40.03 (assume-push @p587 @t148) % 39.88/40.03 (step @p89 :rule evaluate :args ((= false true))) % 39.88/40.03 (step @p90 :rule true_intro :premises (@p81)) % 39.88/40.03 (step @p91 :rule symm :premises (@p586)) % 39.88/40.03 (step @p92 :rule refl :args (tptp.xp)) % 39.88/40.03 (step @p93 :rule cong :premises (@p92 @p91) :args (@t144)) % 39.88/40.03 (step @p94 :rule false_intro :premises (@p587)) % 39.88/40.03 (step @p95 :rule symm :premises (@p94)) % 39.88/40.03 (step @p96 :rule trans :premises (@p95 @p93 @p90)) % 39.88/40.03 (step @p97 false :rule eq_resolve :premises (@p96 @p89)) % 39.88/40.03 (step-pop @p588 :rule scope :premises (@p97)) % 39.88/40.03 (step-pop @p589 :rule scope :premises (@p588)) % 39.88/40.03 (step-pop @p590 :rule scope :premises (@p589)) % 39.88/40.03 (step @p98 :rule process_scope :premises (@p590) :args (false)) % 39.88/40.03 (step @p102 :rule not_and :premises (@p98)) % 39.88/40.03 (step @p103 :rule eq_resolve :premises (@p102 @p85)) % 39.88/40.03 (step @p104 :rule reordering :premises (@p103) :args ((or @t147 @t144 @t146))) % 39.88/40.03 (step @p105 :rule and_elim :premises (@p48) :args (0)) % 39.88/40.03 (step @p106 :rule aci_norm :args ((= (or @t151 @t150) (or @t134 @t133 @t42 @t149)))) % 39.88/40.03 (step @p107 :rule refl :args (@t150)) % 39.88/40.03 (step @p108 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 39.88/40.03 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t152 @t150))) % 39.88/40.03 (step @p110 :rule trans :premises (@p109 @p106)) % 39.88/40.03 (step @p111 :rule bool-impl-elim :args (@t8 @t150)) % 39.88/40.03 (step @p112 :rule trans :premises (@p111 @p110)) % 39.88/40.03 (step @p113 :rule cong :premises (@p112) :args ((forall @t9 (=> @t8 @t150)))) % 39.88/40.03 (step @p114 :rule refl :args (@t46)) % 39.88/40.03 (step @p115 :rule eq-symm :args (@t4 @t1)) % 39.88/40.03 (step @p116 :rule cong :premises (@p115) :args (@t56)) % 39.88/40.03 (step @p117 :rule nary_cong :premises (@p116 @p114) :args (@t57)) % 39.88/40.03 (step @p118 :rule refl :args (@t42)) % 39.88/40.03 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t58)) % 39.88/40.03 (step @p120 :rule refl :args (@t8)) % 39.88/40.03 (step @p121 :rule cong :premises (@p120 @p119) :args (@t59)) % 39.88/40.03 (step @p122 :rule cong :premises (@p121) :args (@t60)) % 39.88/40.03 (step @p123 :rule trans :premises (@p122 @p113)) % 39.88/40.03 (step @p124 :rule eq_resolve :premises (@p23 @p123)) % 39.88/40.03 (step @p125 :rule instantiate :premises (@p124) :args ((@list tptp.xp tptp.xr))) % 39.88/40.03 (step @p126 :rule cnf_or_pos :args (@t156)) % 39.88/40.03 (step @p127 :rule reordering :premises (@p126) :args ((or @t141 @t155 @t144 @t154 (not @t156)))) % 39.88/40.03 (step @p128 :rule aci_norm :args ((= (or @t151 @t6) (or @t134 @t133 @t6)))) % 39.88/40.03 (step @p129 :rule refl :args (@t6)) % 39.88/40.03 (step @p130 :rule nary_cong :premises (@p108 @p129) :args ((or @t152 @t6))) % 39.88/40.03 (step @p131 :rule trans :premises (@p130 @p128)) % 39.88/40.03 (step @p132 :rule bool-impl-elim :args (@t8 @t6)) % 39.88/40.03 (step @p133 :rule trans :premises (@p132 @p131)) % 39.88/40.03 (step @p134 :rule cong :premises (@p133) :args (@t10)) % 39.88/40.03 (step @p135 :rule eq_resolve :premises (@p4 @p134)) % 39.88/40.03 (step @p136 :rule instantiate :premises (@p135) :args ((@list tptp.xm tptp.xn))) % 39.88/40.03 (step @p137 :rule and_elim :premises (@p39) :args (1)) % 39.88/40.03 (step @p138 :rule and_elim :premises (@p39) :args (0)) % 39.88/40.03 (step @p139 :rule cnf_or_pos :args (@t161)) % 39.88/40.03 (step @p140 :rule reordering :premises (@p139) :args ((or @t159 @t160 @t158 (not @t161)))) % 39.88/40.03 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p137 @p136) :args (@t158 @t162 (@list @t103 @t102 @t161))) % 39.88/40.03 (step @p142 :rule aci_norm :args ((= (or @t137 (or @t163 @t26)) (or @t134 @t133 @t132 @t163 @t26)))) % 39.88/40.03 (step @p143 :rule refl :args (@t26)) % 39.88/40.03 (step @p144 :rule bool-or-de-morgan :args (@t30 @t28 false)) % 39.88/40.03 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or (not @t31) @t26))) % 39.88/40.03 (step @p146 :rule bool-impl-elim :args (@t31 @t26)) % 39.88/40.03 (step @p147 :rule trans :premises (@p146 @p145)) % 39.88/40.03 (step @p148 :rule nary_cong :premises (@p67 @p147) :args ((or @t138 @t32))) % 39.88/40.03 (step @p149 :rule trans :premises (@p148 @p142)) % 39.88/40.03 (step @p150 :rule bool-impl-elim :args (@t21 @t32)) % 39.88/40.03 (step @p151 :rule trans :premises (@p150 @p149)) % 39.88/40.03 (step @p152 :rule cong :premises (@p151) :args (@t33)) % 39.88/40.03 (step @p153 :rule eq_resolve :premises (@p14 @p152)) % 39.88/40.03 (step @p154 :rule instantiate :premises (@p153) :args ((@list @t157 tptp.xp tptp.xr))) % 39.88/40.03 (step @p155 :rule cnf_or_pos :args (@t173)) % 39.88/40.03 (step @p156 :rule reordering :premises (@p155) :args ((or @t141 @t155 @t145 @t172 @t171 (not @t173)))) % 39.88/40.03 (step @p157 :rule cnf_and_pos :args (@t154 1)) % 39.88/40.03 (step @p158 :rule reordering :premises (@p157) :args ((or @t153 (not @t154)))) % 39.88/40.03 (step @p159 :rule cnf_and_pos :args (@t171 0)) % 39.88/40.03 (step @p160 :rule reordering :premises (@p159) :args ((or @t170 (not @t171)))) % 39.88/40.03 (step 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(step @p353 :rule refl :args (@t75)) % 39.88/40.03 (step @p354 :rule nary_cong :premises (@p181 @p353) :args ((or @t196 @t75))) % 39.88/40.03 (step @p355 :rule trans :premises (@p354 @p352)) % 39.88/40.03 (step @p356 :rule bool-impl-elim :args (@t70 @t75)) % 39.88/40.03 (step @p357 :rule trans :premises (@p356 @p355)) % 39.88/40.03 (step @p358 :rule nary_cong :premises (@p108 @p357) :args ((or @t152 @t76))) % 39.88/40.03 (step @p359 :rule trans :premises (@p358 @p351)) % 39.88/40.03 (step @p360 :rule bool-impl-elim :args (@t8 @t76)) % 39.88/40.03 (step @p361 :rule trans :premises (@p360 @p359)) % 39.88/40.03 (step @p362 :rule cong :premises (@p361) :args (@t77)) % 39.88/40.03 (step @p363 :rule eq_resolve :premises (@p29 @p362)) % 39.88/40.03 (step @p364 :rule refl :args (@t232)) % 39.88/40.03 (step @p365 :rule refl :args (@t239)) % 39.88/40.03 (step @p366 :rule eq-symm :args (@t211 @t108)) % 39.88/40.03 (step @p367 :rule refl :args (@t241)) % 39.88/40.03 (step @p368 :rule refl :args (@t243)) % 39.88/40.03 (step @p369 :rule nary_cong :premises (@p368 @p367 @p366 @p365 @p364) :args (@t244)) % 39.88/40.03 (step @p370 :rule refl :args (@t245)) % 39.88/40.03 (step @p371 :rule cong :premises (@p370 @p369) :args ((=> @t245 @t244))) % 39.88/40.03 (assume-push @p617 @t245) % 39.88/40.03 (step @p373 :rule instantiate :premises (@p363) :args ((@list @t211 @t108))) % 39.88/40.03 (step-pop @p618 :rule scope :premises (@p373)) % 39.88/40.03 (step @p374 :rule process_scope :premises (@p618) :args (@t244)) % 39.88/40.03 (step @p376 :rule eq_resolve :premises (@p374 @p371)) % 39.88/40.03 (step @p377 :rule implies_elim :premises (@p376)) % 39.88/40.03 (step @p378 :rule chain_m_resolution :premises (@p377 @p363) :args (@t246 @t207 (@list @t245))) % 39.88/40.03 (step @p379 :rule instantiate :premises (@p135) :args (@t222)) % 39.88/40.03 (step @p380 :rule cnf_or_pos :args (@t247)) % 39.88/40.03 (step @p381 :rule reordering :premises (@p380) :args ((or @t155 @t220 @t242 (not @t247)))) % 39.88/40.03 (step @p382 :rule chain_m_resolution :premises (@p381 @p105 @p279 @p379) :args (@t242 @t162 (@list @t123 @t217 @t247))) % 39.88/40.03 (step @p383 :rule instantiate :premises (@p135) :args (@t216)) % 39.88/40.03 (step @p384 :rule cnf_or_pos :args (@t248)) % 39.88/40.03 (step @p385 :rule reordering :premises (@p384) :args ((or @t141 @t220 @t240 (not @t248)))) % 39.88/40.03 (step @p386 :rule chain_m_resolution :premises (@p385 @p78 @p279 @p383) :args (@t240 @t162 (@list @t101 @t217 @t248))) % 39.88/40.03 (step @p387 :rule cnf_or_pos :args (@t246)) % 39.88/40.03 (step @p388 :rule reordering :premises (@p387) :args ((or @t232 @t243 @t241 @t239 @t212 (not @t246)))) % 39.88/40.03 (step @p389 :rule chain_m_resolution :premises (@p388 @p386 @p382 @p378 @p350 @p326 @p286 @p282 @p246 @p274 @p246 @p234 @p232 @p230 @p141 @p105 @p78 @p160 @p158 @p156 @p154 @p141 @p105 @p78 @p127 @p125 @p105 @p78 @p104 @p81) :args (@t144 (@list false false false true false false false false true false false false false false false false true false false false false false false false false false false true false) (@list @t240 @t242 @t246 @t232 @t225 @t223 @t219 @t209 @t212 @t209 @t199 @t205 @t206 @t158 @t123 @t101 @t169 @t153 @t171 @t173 @t158 @t123 @t101 @t154 @t156 @t123 @t101 @t145 @t140))) % 39.88/40.03 (step @p390 :rule aci_norm :args ((= (or @t151 @t251) @t250))) % 39.88/40.03 (step @p391 :rule aci_norm :args ((= (or (or @t131 @t249) @t45) @t251))) % 39.88/40.03 (step @p392 :rule bool-and-de-morgan :args (@t42 @t46 true)) % 39.88/40.03 (step @p393 :rule nary_cong :premises (@p392 @p166) :args ((or (not @t47) @t45))) % 39.88/40.03 (step @p394 :rule trans :premises (@p393 @p391)) % 39.88/40.03 (step @p395 :rule bool-impl-elim :args (@t47 @t45)) % 39.88/40.03 (step @p396 :rule trans :premises (@p395 @p394)) % 39.88/40.03 (step @p397 :rule nary_cong :premises (@p108 @p396) :args ((or @t152 @t48))) % 39.88/40.03 (step @p398 :rule trans :premises (@p397 @p390)) % 39.88/40.03 (step @p399 :rule bool-impl-elim :args (@t8 @t48)) % 39.88/40.03 (step @p400 :rule trans :premises (@p399 @p398)) % 39.88/40.03 (step @p401 :rule cong :premises (@p400) :args (@t49)) % 39.88/40.03 (step @p402 :rule eq_resolve :premises (@p21 @p401)) % 39.88/40.03 (step @p403 :rule eq-symm :args (@t119 tptp.xp)) % 39.88/40.03 (step @p404 :rule refl :args (@t253)) % 39.88/40.03 (step @p405 :rule refl :args (@t255)) % 39.88/40.03 (step @p406 :rule refl :args (@t257)) % 39.88/40.03 (step @p407 :rule nary_cong :premises (@p406 @p219 @p405 @p404 @p403) :args (@t258)) % 39.88/40.03 (step @p408 :rule refl :args (@t259)) % 39.88/40.03 (step @p409 :rule cong :premises (@p408 @p407) :args ((=> @t259 @t258))) % 39.88/40.03 (assume-push @p619 @t259) % 39.88/40.03 (step @p411 :rule instantiate :premises (@p402) :args ((@list @t119 tptp.xp))) % 39.88/40.03 (step-pop @p620 :rule scope :premises (@p411)) % 39.88/40.03 (step @p412 :rule process_scope :premises (@p620) :args (@t258)) % 39.88/40.03 (step @p414 :rule eq_resolve :premises (@p412 @p409)) % 39.88/40.03 (step @p415 :rule implies_elim :premises (@p414)) % 39.88/40.03 (step @p416 :rule chain_m_resolution :premises (@p415 @p402) :args (@t261 @t207 (@list @t259))) % 39.88/40.03 (step @p417 :rule eq-symm :args (@t262 @t80)) % 39.88/40.03 (step @p418 :rule refl :args (@t263)) % 39.88/40.03 (step @p419 :rule cong :premises (@p418 @p417) :args (@t264)) % 39.88/40.03 (step @p420 :rule refl :args (@t265)) % 39.88/40.03 (step @p421 :rule refl :args (@t37)) % 39.88/40.03 (step @p422 :rule refl :args (@t133)) % 39.88/40.03 (step @p423 :rule refl :args (@t134)) % 39.88/40.03 (step @p424 :rule nary_cong :premises (@p423 @p422 @p421 @p420 @p419) :args (@t266)) % 39.88/40.03 (step @p425 :rule cong :premises (@p424) :args (@t268)) % 39.88/40.03 (step @p426 :rule quant-merge-prenex :args ((= (forall @t9 @t270) @t268))) % 39.88/40.03 (step @p427 :rule alpha_equiv :args (@t271 (@list @t262) @t189)) % 39.88/40.03 (step @p428 :rule refl :args (@t265)) % 39.88/40.03 (step @p429 :rule refl :args (@t37)) % 39.88/40.03 (step @p430 :rule nary_cong :premises (@p63 @p167 @p429 @p428 @p427) :args (@t272)) % 39.88/40.03 (step @p431 :rule quant-miniscope-or :args ((= @t270 @t272))) % 39.88/40.03 (step @p432 :rule trans :premises (@p431 @p430)) % 39.88/40.03 (step @p433 :rule symm :premises (@p432)) % 39.88/40.03 (step @p434 :rule cong :premises (@p433) :args ((forall @t9 @t274))) % 39.88/40.03 (step @p435 :rule trans :premises (@p434 @p426)) % 39.88/40.03 (step @p436 :rule trans :premises (@p435 @p425)) % 39.88/40.03 (step @p437 :rule aci_norm :args ((= (or @t151 @t275) @t274))) % 39.88/40.03 (step @p438 :rule aci_norm :args ((= (or (or @t37 @t265) @t273) @t275))) % 39.88/40.03 (step @p439 :rule refl :args (@t273)) % 39.88/40.03 (step @p440 :rule bool-double-not-elim :args (@t37)) % 39.88/40.03 (step @p441 :rule nary_cong :premises (@p440 @p428) :args ((or (not @t38) @t265))) % 39.88/40.03 (step @p442 :rule bool-and-de-morgan :args (@t38 @t79 true)) % 39.88/40.03 (step @p443 :rule trans :premises (@p442 @p441)) % 39.88/40.03 (step @p444 :rule nary_cong :premises (@p443 @p439) :args ((or (not @t83) @t273))) % 39.88/40.03 (step @p445 :rule trans :premises (@p444 @p438)) % 39.88/40.03 (step @p446 :rule bool-impl-elim :args (@t83 @t273)) % 39.88/40.03 (step @p447 :rule trans :premises (@p446 @p445)) % 39.88/40.03 (step @p448 :rule nary_cong :premises (@p108 @p447) :args ((or @t152 @t276))) % 39.88/40.03 (step @p449 :rule trans :premises (@p448 @p437)) % 39.88/40.03 (step @p450 :rule bool-impl-elim :args (@t8 @t276)) % 39.88/40.03 (step @p451 :rule trans :premises (@p450 @p449)) % 39.88/40.03 (step @p452 :rule cong :premises (@p451) :args ((forall @t9 (=> @t8 @t276)))) % 39.88/40.03 (step @p453 :rule trans :premises (@p452 @p436)) % 39.88/40.03 (step @p454 :rule eq-symm :args (@t81 @t78)) % 39.88/40.03 (step @p455 :rule cong :premises (@p454) :args (@t82)) % 39.88/40.03 (step @p456 :rule refl :args (@t83)) % 39.88/40.03 (step @p457 :rule cong :premises (@p456 @p455) :args (@t84)) % 39.88/40.03 (step @p458 :rule cong :premises (@p120 @p457) :args (@t85)) % 39.88/40.03 (step @p459 :rule cong :premises (@p458) :args (@t86)) % 39.88/40.03 (step @p460 :rule trans :premises (@p459 @p453)) % 39.88/40.03 (step @p461 :rule eq_resolve :premises (@p31 @p460)) % 39.88/40.03 (step @p462 :rule bool-eq-true :args (@t277)) % 39.88/40.03 (step @p463 :rule eq-symm :args (true @t277)) % 39.88/40.03 (step @p464 :rule trans :premises (@p463 @p462)) % 39.88/40.03 (step @p465 :rule refl :args (@t277)) % 39.88/40.03 (step @p466 :rule eq-refl :args (@t119)) % 39.88/40.03 (step @p467 :rule cong :premises (@p466 @p465) :args ((= @t278 @t277))) % 39.88/40.03 (step @p468 :rule trans :premises (@p467 @p464)) % 39.88/40.03 (step @p469 :rule eq-symm :args (@t277 @t278)) % 39.88/40.03 (step @p470 :rule trans :premises (@p469 @p468)) % 39.88/40.03 (step @p471 :rule refl :args (@t279)) % 39.88/40.03 (step @p472 :rule eq-symm :args (tptp.xp tptp.sz00)) % 39.88/40.03 (step @p473 :rule refl :args (@t281)) % 39.88/40.03 (step @p474 :rule nary_cong :premises (@p219 @p473 @p472 @p471 @p470) :args (@t283)) % 39.88/40.03 (step @p475 :rule refl :args (@t284)) % 39.88/40.03 (step @p476 :rule cong :premises (@p475 @p474) :args ((=> @t284 @t283))) % 39.88/40.03 (assume-push @p621 @t284) % 39.88/40.03 (step @p478 :rule instantiate :premises (@p461) :args ((@list tptp.xp @t116 @t119))) % 39.88/40.03 (step-pop @p622 :rule scope :premises (@p478)) % 39.88/40.03 (step @p479 :rule process_scope :premises (@p622) :args (@t283)) % 39.88/40.03 (step @p481 :rule eq_resolve :premises (@p479 @p476)) % 39.88/40.03 (step @p482 :rule implies_elim :premises (@p481)) % 39.88/40.03 (step @p483 :rule chain_m_resolution :premises (@p482 @p461) :args (@t286 @t207 (@list @t284))) % 39.88/40.03 (step @p484 :rule aci_norm :args ((= (or @t151 @t12) (or @t134 @t133 @t12)))) % 39.88/40.03 (step @p485 :rule refl :args (@t12)) % 39.88/40.03 (step @p486 :rule nary_cong :premises (@p108 @p485) :args ((or @t152 @t12))) % 39.88/40.03 (step @p487 :rule trans :premises (@p486 @p484)) % 39.88/40.03 (step @p488 :rule bool-impl-elim :args (@t8 @t12)) % 39.88/40.03 (step @p489 :rule trans :premises (@p488 @p487)) % 39.88/40.03 (step @p490 :rule cong :premises (@p489) :args (@t13)) % 39.88/40.03 (step @p491 :rule eq_resolve :premises (@p5 @p490)) % 39.88/40.03 (step @p492 :rule instantiate :premises (@p491) :args (@t208)) % 39.88/40.03 (step @p493 :rule cnf_or_pos :args (@t287)) % 39.88/40.03 (step @p494 :rule reordering :premises (@p493) :args ((or @t159 @t160 @t280 (not @t287)))) % 39.88/40.03 (step @p495 :rule chain_m_resolution :premises (@p494 @p138 @p137 @p492) :args (@t280 @t162 (@list @t103 @t102 @t287))) % 39.88/40.03 (step @p496 :rule bool-impl-elim :args (@t2 @t291)) % 39.88/40.03 (step @p497 :rule cong :premises (@p496) :args ((forall @t3 (=> @t2 @t291)))) % 39.88/40.03 (step @p498 :rule aci_norm :args ((= (or (or @t133 @t289) @t292) @t290))) % 39.88/40.03 (step @p499 :rule refl :args (@t292)) % 39.88/40.03 (step @p500 :rule bool-and-de-morgan :args (@t7 @t90 true)) % 39.88/40.03 (step @p501 :rule nary_cong :premises (@p500 @p499) :args ((or (not @t91) @t292))) % 39.88/40.03 (step @p502 :rule trans :premises (@p501 @p498)) % 39.88/40.03 (step @p503 :rule bool-impl-elim :args (@t91 @t292)) % 39.88/40.03 (step @p504 :rule trans :premises (@p503 @p502)) % 39.88/40.03 (step @p505 :rule cong :premises (@p504) :args ((forall @t93 (=> @t91 @t292)))) % 39.88/40.03 (step @p506 :rule eq-symm :args (@t4 tptp.sz10)) % 39.88/40.03 (step @p507 :rule nary_cong :premises (@p506 @p115) :args (@t89)) % 39.88/40.03 (step @p508 :rule refl :args (@t91)) % 39.88/40.03 (step @p509 :rule cong :premises (@p508 @p507) :args (@t92)) % 39.88/40.03 (step @p510 :rule cong :premises (@p509) :args (@t94)) % 39.88/40.03 (step @p511 :rule trans :premises (@p510 @p505)) % 39.88/40.03 (step @p512 :rule refl :args (@t95)) % 39.88/40.03 (step @p513 :rule refl :args (@t38)) % 39.88/40.03 (step @p514 :rule nary_cong :premises (@p513 @p512 @p511) :args (@t96)) % 39.88/40.03 (step @p515 :rule refl :args (@t97)) % 39.88/40.03 (step @p516 :rule cong :premises (@p515 @p514) :args (@t98)) % 39.88/40.03 (step @p517 :rule refl :args (@t2)) % 39.88/40.03 (step @p518 :rule cong :premises (@p517 @p516) :args (@t99)) % 39.88/40.03 (step @p519 :rule cong :premises (@p518) :args (@t100)) % 39.88/40.03 (step @p520 :rule trans :premises (@p519 @p497)) % 39.88/40.03 (step @p521 :rule eq_resolve :premises (@p37 @p520)) % 39.88/40.03 (step @p522 :rule eq-symm :args (tptp.xp @t4)) % 39.88/40.03 (step @p523 :rule refl :args (@t288)) % 39.88/40.03 (step @p524 :rule refl :args (@t293)) % 39.88/40.03 (step @p525 :rule nary_cong :premises (@p422 @p524 @p523 @p522) :args (@t294)) % 39.88/40.03 (step @p526 :rule cong :premises (@p525) :args (@t295)) % 39.88/40.03 (step @p527 :rule eq-symm :args (tptp.xp tptp.sz10)) % 39.88/40.03 (step @p528 :rule cong :premises (@p527) :args (@t296)) % 39.88/40.03 (step @p529 :rule cong :premises (@p472) :args (@t297)) % 39.88/40.03 (step @p530 :rule nary_cong :premises (@p529 @p528 @p526) :args (@t298)) % 39.88/40.03 (step @p531 :rule refl :args (@t118)) % 39.88/40.03 (step @p532 :rule cong :premises (@p531 @p530) :args (@t299)) % 39.88/40.03 (step @p533 :rule nary_cong :premises (@p219 @p532) :args (@t300)) % 39.88/40.03 (step @p534 :rule refl :args (@t301)) % 39.88/40.03 (step @p535 :rule cong :premises (@p534 @p533) :args ((=> @t301 @t300))) % 39.88/40.03 (assume-push @p623 @t301) % 39.88/40.03 (step @p537 :rule instantiate :premises (@p521) :args (@t139)) % 39.88/40.03 (step-pop @p624 :rule scope :premises (@p537)) % 39.88/40.03 (step @p538 :rule process_scope :premises (@p624) :args (@t300)) % 39.88/40.03 (step @p540 :rule eq_resolve :premises (@p538 @p535)) % 39.88/40.03 (step @p541 :rule implies_elim :premises (@p540)) % 39.88/40.03 (step @p542 :rule chain_m_resolution :premises (@p541 @p521) :args (@t305 @t207 (@list @t301))) % 39.88/40.03 (step @p543 :rule cnf_or_pos :args (@t305)) % 39.88/40.03 (step @p544 :rule reordering :premises (@p543) :args ((or @t141 @t304 (not @t305)))) % 39.88/40.03 (step @p545 :rule chain_m_resolution :premises (@p544 @p78 @p542) :args (@t304 @t143 (@list @t101 @t305))) % 39.88/40.03 (step @p546 :rule and_elim :premises (@p41) :args (0)) % 39.88/40.03 (step @p547 :rule cnf_equiv_pos1 :args (@t304)) % 39.88/40.03 (step @p548 :rule reordering :premises (@p547) :args ((or (not @t118) @t303 (not @t304)))) % 39.88/40.03 (step @p549 :rule chain_m_resolution :premises (@p548 @p546 @p545) :args (@t303 @t143 (@list @t118 @t304))) % 39.88/40.03 (step @p550 :rule cnf_and_pos :args (@t303 0)) % 39.88/40.03 (step @p551 :rule reordering :premises (@p550) :args ((or @t302 (not @t303)))) % 39.88/40.03 (step @p552 :rule chain_m_resolution :premises (@p551 @p549) :args (@t302 @t207 (@list @t303))) % 39.88/40.03 (step @p553 :rule and_elim :premises (@p41) :args (1)) % 39.88/40.03 (step @p554 :rule cnf_or_pos :args (@t286)) % 39.88/40.03 (step @p555 :rule reordering :premises (@p554) :args ((or @t141 @t279 @t285 @t281 @t277 (not @t286)))) % 39.88/40.03 (step @p556 :rule chain_m_resolution :premises (@p555 @p78 @p553 @p552 @p495 @p483) :args (@t277 (@list false false true false false) (@list @t101 @t117 @t285 @t280 @t286))) % 39.88/40.03 (step @p557 :rule cnf_and_pos :args (@t277 0)) % 39.88/40.03 (step @p558 :rule reordering :premises (@p557) :args ((or @t256 (not @t277)))) % 39.88/40.03 (step @p559 :rule chain_m_resolution :premises (@p558 @p556) :args (@t256 @t207 (@list @t277))) % 39.88/40.03 (step @p92 :rule refl :args (tptp.xp)) % 39.88/40.03 (step @p560 :rule cong :premises (@p45 @p92) :args (@t126)) % 39.88/40.03 (step @p561 :rule and_elim :premises (@p50) :args (1)) % 39.88/40.03 (step @p562 :rule eq_resolve :premises (@p561 @p560)) % 39.88/40.03 (step @p563 :rule cong :premises (@p92 @p45) :args (@t306)) % 39.88/40.03 (step @p564 :rule cong :premises (@p563) :args ((not @t306))) % 39.88/40.03 (step @p565 :rule eq-symm :args (tptp.xk tptp.xp)) % 39.88/40.03 (step @p566 :rule cong :premises (@p565) :args (@t127)) % 39.88/40.03 (step @p567 :rule trans :premises (@p566 @p564)) % 39.88/40.03 (step @p568 :rule and_elim :premises (@p50) :args (0)) % 39.88/40.03 (step @p569 :rule eq_resolve :premises (@p568 @p567)) % 39.88/40.03 (step @p570 :rule cnf_or_pos :args (@t261)) % 39.88/40.03 (step @p571 :rule reordering :premises (@p570) :args ((or @t260 @t141 @t255 @t257 @t253 (not @t261)))) % 39.88/40.03 (step @p572 :rule chain_m_resolution :premises (@p571 @p569 @p78 @p562 @p559 @p416) :args (@t253 (@list true false false false false) (@list @t260 @t101 @t254 @t256 @t261))) % 39.88/40.03 (step @p256 :rule refl :args (tptp.xr)) % 39.88/40.03 (step @p573 :rule cong :premises (@p256 @p45) :args (@t125)) % 39.88/40.03 (step @p574 :rule and_elim :premises (@p49) :args (0)) % 39.88/40.03 (step @p575 :rule eq_resolve :premises (@p574 @p573)) % 39.88/40.03 (step @p576 :rule cnf_or_pos :args (@t309)) % 39.88/40.03 (step @p577 :rule reordering :premises (@p576) :args ((or @t141 @t155 @t308 @t257 @t252 @t148 @t310))) % 39.88/40.03 (step @p578 :rule chain_m_resolution :premises (@p577 @p78 @p105 @p575 @p559 @p572 @p389) :args (@t310 (@list false false false false true false) (@list @t101 @t123 @t307 @t256 @t252 @t144))) % 39.88/40.03 (assume-push @p625 @t311) % 39.88/40.03 (step @p580 :rule instantiate :premises (@p73) :args ((@list tptp.xp tptp.xr @t119))) % 39.88/40.03 (step-pop @p626 :rule scope :premises (@p580)) % 39.88/40.03 (step @p581 :rule process_scope :premises (@p626) :args (@t309)) % 39.88/40.03 (step @p583 :rule implies_elim :premises (@p581)) % 39.88/40.03 (step @p584 false :rule chain_m_resolution :premises (@p583 @p578 @p73) :args (false (@list true false) (@list @t309 @t311))) % 39.88/40.03 ) % 39.88/40.03 % SZS output end Proof % 39.88/40.03 % cvc5 exiting %------------------------------------------------------------------------------