%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM503+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:39:38 AM UTC 2026 % Result : Theorem 19.40s 19.61s % Output : Proof 19.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM503+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:24:26 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 19.40/19.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 19.40/19.61 --- Run --no-e-matching --full-saturate-quant at 6... % 19.40/19.61 % SZS status Theorem % 19.40/19.61 % SZS output start Proof % 19.40/19.61 ( % 19.40/19.61 (declare-sort $$unsorted 0) % 19.40/19.61 (declare-const tptp.xr $$unsorted) % 19.40/19.61 (declare-const tptp.xk $$unsorted) % 19.40/19.61 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 19.40/19.61 (declare-const tptp.xm $$unsorted) % 19.40/19.61 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.40/19.61 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 19.40/19.61 (declare-const tptp.xn $$unsorted) % 19.40/19.61 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 19.40/19.61 (declare-const tptp.sz00 $$unsorted) % 19.40/19.61 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.40/19.61 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.40/19.61 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 19.40/19.61 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 19.40/19.61 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 19.40/19.61 (declare-const tptp.sz10 $$unsorted) % 19.40/19.61 (declare-const tptp.xp $$unsorted) % 19.40/19.61 (define @t1 () (@var "W0" $$unsorted)) % 19.40/19.61 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 19.40/19.61 (define @t3 () (@list @t1)) % 19.40/19.61 (define @t4 () (@var "W1" $$unsorted)) % 19.40/19.61 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 19.40/19.61 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 19.40/19.61 (define @t7 () (and @t2 @t6)) % 19.40/19.61 (define @t8 () (@list @t1 @t4)) % 19.40/19.61 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 19.40/19.61 (define @t10 () (tptp.sdtpldt0 @t4 @t1)) % 19.40/19.61 (define @t11 () (@var "W2" $$unsorted)) % 19.40/19.61 (define @t12 () (tptp.sdtpldt0 @t4 @t11)) % 19.40/19.61 (define @t13 () (tptp.sdtpldt0 @t5 @t11)) % 19.40/19.61 (define @t14 () (tptp.aNaturalNumber0 @t11)) % 19.40/19.61 (define @t15 () (and @t2 @t6 @t14)) % 19.40/19.61 (define @t16 () (@list @t1 @t4 @t11)) % 19.40/19.61 (define @t17 () (tptp.sdtasdt0 @t4 @t1)) % 19.40/19.61 (define @t18 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 19.40/19.61 (define @t19 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 19.40/19.61 (define @t20 () (and (= @t19 tptp.sz00) @t18)) % 19.40/19.61 (define @t21 () (=> @t2 @t20)) % 19.40/19.61 (define @t22 () (forall @t3 @t21)) % 19.40/19.61 (define @t23 () (tptp.sdtasdt0 @t11 @t1)) % 19.40/19.61 (define @t24 () (tptp.sdtasdt0 @t1 @t11)) % 19.40/19.61 (define @t25 () (= @t4 @t11)) % 19.40/19.61 (define @t26 () (tptp.sdtpldt0 @t11 @t1)) % 19.40/19.61 (define @t27 () (tptp.sdtpldt0 @t1 @t11)) % 19.40/19.61 (define @t28 () (= @t17 @t23)) % 19.40/19.61 (define @t29 () (= @t9 @t24)) % 19.40/19.61 (define @t30 () (or @t29 @t28)) % 19.40/19.61 (define @t31 () (=> @t30 @t25)) % 19.40/19.61 (define @t32 () (and @t6 @t14)) % 19.40/19.61 (define @t33 () (@list @t4 @t11)) % 19.40/19.61 (define @t34 () (forall @t33 (=> @t32 @t31))) % 19.40/19.61 (define @t35 () (= @t1 tptp.sz00)) % 19.40/19.61 (define @t36 () (not @t35)) % 19.40/19.61 (define @t37 () (=> @t36 @t34)) % 19.40/19.61 (define @t38 () (=> @t2 @t37)) % 19.40/19.61 (define @t39 () (forall @t3 @t38)) % 19.40/19.61 (define @t40 () (= @t4 tptp.sz00)) % 19.40/19.61 (define @t41 () (or @t35 @t40)) % 19.40/19.61 (define @t42 () (=> (= @t9 tptp.sz00) @t41)) % 19.40/19.61 (define @t43 () (=> @t7 @t42)) % 19.40/19.61 (define @t44 () (forall @t8 @t43)) % 19.40/19.61 (define @t45 () (and @t14 (= @t27 @t4))) % 19.40/19.61 (define @t46 () (@list @t11)) % 19.40/19.61 (define @t47 () (tptp.sdtlseqdt0 @t1 @t4)) % 19.40/19.61 (define @t48 () (= @t1 @t4)) % 19.40/19.61 (define @t49 () (tptp.sdtlseqdt0 @t4 @t1)) % 19.40/19.61 (define @t50 () (tptp.sdtlseqdt0 @t1 @t11)) % 19.40/19.61 (define @t51 () (tptp.sdtlseqdt0 @t4 @t11)) % 19.40/19.61 (define @t52 () (and @t47 @t51)) % 19.40/19.61 (define @t53 () (=> @t52 @t50)) % 19.40/19.61 (define @t54 () (forall @t16 (=> @t15 @t53))) % 19.40/19.61 (define @t55 () (= @t4 @t1)) % 19.40/19.61 (define @t56 () (tptp.sdtpldt0 @t11 @t4)) % 19.40/19.61 (define @t57 () (and (not @t48) @t47)) % 19.40/19.61 (define @t58 () (not @t28)) % 19.40/19.61 (define @t59 () (not @t29)) % 19.40/19.61 (define @t60 () (and @t59 (tptp.sdtlseqdt0 @t9 @t24) @t58 (tptp.sdtlseqdt0 @t17 @t23))) % 19.40/19.61 (define @t61 () (not @t25)) % 19.40/19.61 (define @t62 () (and @t36 @t61 @t51)) % 19.40/19.61 (define @t63 () (=> @t62 @t60)) % 19.40/19.61 (define @t64 () (forall @t16 (=> @t15 @t63))) % 19.40/19.61 (define @t65 () (= @t1 tptp.sz10)) % 19.40/19.61 (define @t66 () (tptp.iLess0 @t1 @t4)) % 19.40/19.61 (define @t67 () (and @t14 (= @t4 @t24))) % 19.40/19.61 (define @t68 () (tptp.doDivides0 @t1 @t4)) % 19.40/19.61 (define @t69 () (tptp.sdtsldt0 @t4 @t1)) % 19.40/19.61 (define @t70 () (and @t36 @t68)) % 19.40/19.61 (define @t71 () (tptp.doDivides0 @t1 @t11)) % 19.40/19.61 (define @t72 () (tptp.doDivides0 @t1 @t12)) % 19.40/19.61 (define @t73 () (tptp.doDivides0 @t4 @t1)) % 19.40/19.61 (define @t74 () (@list @t4)) % 19.40/19.61 (define @t75 () (not @t65)) % 19.40/19.61 (define @t76 () (tptp.aNaturalNumber0 tptp.xp)) % 19.40/19.61 (define @t77 () (tptp.aNaturalNumber0 tptp.xm)) % 19.40/19.61 (define @t78 () (tptp.aNaturalNumber0 tptp.xn)) % 19.40/19.61 (define @t79 () (@var "W3" $$unsorted)) % 19.40/19.61 (define @t80 () (tptp.sdtasdt0 @t11 @t79)) % 19.40/19.61 (define @t81 () (tptp.aNaturalNumber0 @t79)) % 19.40/19.61 (define @t82 () (@list @t79)) % 19.40/19.61 (define @t83 () (@var "W4" $$unsorted)) % 19.40/19.61 (define @t84 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 19.40/19.61 (define @t85 () (= tptp.xp tptp.sz00)) % 19.40/19.61 (define @t86 () (tptp.sdtpldt0 tptp.xp @t1)) % 19.40/19.61 (define @t87 () (tptp.sdtlseqdt0 tptp.xp tptp.xm)) % 19.40/19.61 (define @t88 () (and @t2 (= @t86 tptp.xm))) % 19.40/19.61 (define @t89 () (exists @t3 @t88)) % 19.40/19.61 (define @t90 () (or @t89 @t87)) % 19.40/19.61 (define @t91 () (not @t90)) % 19.40/19.61 (define @t92 () (tptp.sdtlseqdt0 tptp.xm tptp.xp)) % 19.40/19.61 (define @t93 () (tptp.sdtlseqdt0 tptp.xn tptp.xp)) % 19.40/19.61 (define @t94 () (= tptp.xn tptp.xp)) % 19.40/19.61 (define @t95 () (tptp.sdtsldt0 @t84 tptp.xp)) % 19.40/19.61 (define @t96 () (tptp.sdtasdt0 tptp.xp tptp.xk)) % 19.40/19.61 (define @t97 () (= @t84 @t96)) % 19.40/19.61 (define @t98 () (tptp.aNaturalNumber0 tptp.xk)) % 19.40/19.61 (define @t99 () (= tptp.xk tptp.sz10)) % 19.40/19.61 (define @t100 () (= tptp.xk tptp.sz00)) % 19.40/19.61 (define @t101 () (or @t100 @t99)) % 19.40/19.61 (define @t102 () (not @t101)) % 19.40/19.61 (define @t103 () (tptp.sdtasdt0 tptp.xr @t1)) % 19.40/19.61 (define @t104 () (tptp.sdtlseqdt0 tptp.xp tptp.xk)) % 19.40/19.61 (define @t105 () (= @t86 tptp.xk)) % 19.40/19.61 (define @t106 () (and @t2 @t105)) % 19.40/19.61 (define @t107 () (exists @t3 @t106)) % 19.40/19.61 (define @t108 () (tptp.sdtasdt0 tptp.xp tptp.xm)) % 19.40/19.61 (define @t109 () (tptp.sdtlseqdt0 @t108 @t96)) % 19.40/19.61 (define @t110 () (tptp.sdtpldt0 @t108 @t1)) % 19.40/19.61 (define @t111 () (and @t2 (= @t110 @t96))) % 19.40/19.61 (define @t112 () (exists @t3 @t111)) % 19.40/19.61 (define @t113 () (or @t112 @t109)) % 19.40/19.61 (define @t114 () (not (= @t108 @t96))) % 19.40/19.61 (define @t115 () (tptp.sdtlseqdt0 @t84 @t108)) % 19.40/19.61 (define @t116 () (tptp.sdtpldt0 @t84 @t1)) % 19.40/19.61 (define @t117 () (and @t2 (= @t116 @t108))) % 19.40/19.61 (define @t118 () (exists @t3 @t117)) % 19.40/19.61 (define @t119 () (or @t118 @t115)) % 19.40/19.61 (define @t120 () (= @t84 @t108)) % 19.40/19.61 (define @t121 () (not @t120)) % 19.40/19.61 (define @t122 () (and @t121 @t119 @t114 @t113)) % 19.40/19.61 (define @t123 () (not @t122)) % 19.40/19.61 (define @t124 () (not @t51)) % 19.40/19.61 (define @t125 () (not @t47)) % 19.40/19.61 (define @t126 () (not @t14)) % 19.40/19.61 (define @t127 () (not @t6)) % 19.40/19.61 (define @t128 () (not @t2)) % 19.40/19.61 (define @t129 () (or @t128 @t127 @t126 @t125 @t124 @t50)) % 19.40/19.61 (define @t130 () (or @t125 @t124 @t50)) % 19.40/19.61 (define @t131 () (or @t128 @t127 @t126)) % 19.40/19.61 (define @t132 () (or @t127 @t126)) % 19.40/19.61 (define @t133 () (not @t32)) % 19.40/19.61 (define @t134 () (not @t15)) % 19.40/19.61 (define @t135 () (or @t128 @t127 @t126 @t35 @t25 @t124 @t60)) % 19.40/19.61 (define @t136 () (or @t35 @t25 @t124 @t60)) % 19.40/19.61 (define @t137 () (not @t61)) % 19.40/19.61 (define @t138 () (not @t36)) % 19.40/19.61 (define @t139 () (or @t138 @t137 @t124)) % 19.40/19.61 (define @t140 () (tptp.sdtasdt0 @t95 tptp.xp)) % 19.40/19.61 (define @t141 () (tptp.sdtasdt0 tptp.xm tptp.xp)) % 19.40/19.61 (define @t142 () (not (= @t141 @t140))) % 19.40/19.61 (define @t143 () (tptp.sdtasdt0 tptp.xp @t95)) % 19.40/19.61 (define @t144 () (tptp.sdtlseqdt0 @t108 @t143)) % 19.40/19.61 (define @t145 () (= @t108 @t143)) % 19.40/19.61 (define @t146 () (not @t145)) % 19.40/19.61 (define @t147 () (and @t146 @t144 @t142 (tptp.sdtlseqdt0 @t141 @t140))) % 19.40/19.61 (define @t148 () (tptp.sdtlseqdt0 tptp.xm @t95)) % 19.40/19.61 (define @t149 () (not @t148)) % 19.40/19.61 (define @t150 () (= tptp.xm @t95)) % 19.40/19.61 (define @t151 () (tptp.aNaturalNumber0 @t95)) % 19.40/19.61 (define @t152 () (not @t151)) % 19.40/19.61 (define @t153 () (not @t77)) % 19.40/19.61 (define @t154 () (not @t76)) % 19.40/19.61 (define @t155 () (or @t154 @t153 @t152 @t85 @t150 @t149 @t147)) % 19.40/19.61 (define @t156 () (forall @t16 @t135)) % 19.40/19.61 (define @t157 () (@list tptp.xp tptp.xm @t95)) % 19.40/19.61 (define @t158 () (= tptp.sz00 tptp.xp)) % 19.40/19.61 (define @t159 () (or @t154 @t153 @t152 @t158 @t150 @t149 @t147)) % 19.40/19.61 (define @t160 () (@list false)) % 19.40/19.61 (define @t161 () (@list @t156)) % 19.40/19.61 (define @t162 () (tptp.sdtasdt0 tptp.xm tptp.xn)) % 19.40/19.61 (define @t163 () (and (not (= @t162 @t141)) (tptp.sdtlseqdt0 @t162 @t141) @t121 @t115)) % 19.40/19.61 (define @t164 () (not @t93)) % 19.40/19.61 (define @t165 () (not @t78)) % 19.40/19.61 (define @t166 () (or @t153 @t165 @t154 (= tptp.xm tptp.sz00) @t94 @t164 @t163)) % 19.40/19.61 (define @t167 () (= tptp.sz00 tptp.xm)) % 19.40/19.61 (define @t168 () (or @t153 @t165 @t154 @t167 @t94 @t164 @t163)) % 19.40/19.61 (define @t169 () (= tptp.sz00 @t4)) % 19.40/19.61 (define @t170 () (= tptp.sz00 @t9)) % 19.40/19.61 (define @t171 () (not @t170)) % 19.40/19.61 (define @t172 () (or @t128 @t127 @t171 @t35 @t169)) % 19.40/19.61 (define @t173 () (or @t171 @t35 @t169)) % 19.40/19.61 (define @t174 () (or @t35 @t169)) % 19.40/19.61 (define @t175 () (=> @t170 @t174)) % 19.40/19.61 (define @t176 () (= tptp.sz00 @t95)) % 19.40/19.61 (define @t177 () (not (= tptp.sz00 @t143))) % 19.40/19.61 (define @t178 () (or @t154 @t152 @t177 @t85 @t176)) % 19.40/19.61 (define @t179 () (forall @t8 @t172)) % 19.40/19.61 (define @t180 () (or @t154 @t152 @t177 @t158 @t176)) % 19.40/19.61 (define @t181 () (= tptp.sz10 tptp.xk)) % 19.40/19.61 (define @t182 () (= tptp.sz00 tptp.xk)) % 19.40/19.61 (define @t183 () (or @t182 @t181)) % 19.40/19.61 (define @t184 () (= tptp.sz00 @t84)) % 19.40/19.61 (define @t185 () (and (= tptp.sz00 @t19) @t18)) % 19.40/19.61 (define @t186 () (tptp.sdtasdt0 tptp.xn tptp.sz00)) % 19.40/19.61 (define @t187 () (= tptp.sz00 @t186)) % 19.40/19.61 (define @t188 () (and @t187 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xn)))) % 19.40/19.61 (define @t189 () (or @t165 @t188)) % 19.40/19.61 (define @t190 () (@list false false)) % 19.40/19.61 (define @t191 () (and @t167 @t187)) % 19.40/19.61 (define @t192 () (not @t167)) % 19.40/19.61 (define @t193 () (= @t108 @t116)) % 19.40/19.61 (define @t194 () (or (not (forall @t3 (or @t128 (not @t193)))) @t115)) % 19.40/19.61 (define @t195 () (@var "BOUND_VARIABLE_7950" $$unsorted)) % 19.40/19.61 (define @t196 () (@var "BOUND_VARIABLE_7948" $$unsorted)) % 19.40/19.61 (define @t197 () (= @t196 @t195)) % 19.40/19.61 (define @t198 () (and (not (= (tptp.sdtasdt0 @t1 @t196) (tptp.sdtasdt0 @t1 @t195))) (not (= (tptp.sdtasdt0 @t196 @t1) (tptp.sdtasdt0 @t195 @t1))))) % 19.40/19.61 (define @t199 () (not (tptp.aNaturalNumber0 @t195))) % 19.40/19.61 (define @t200 () (not (tptp.aNaturalNumber0 @t196))) % 19.40/19.61 (define @t201 () (or @t128 @t35 @t200 @t199 @t198 @t197)) % 19.40/19.61 (define @t202 () (or @t200 @t199 @t198 @t197)) % 19.40/19.61 (define @t203 () (or @t128 @t35 @t202)) % 19.40/19.61 (define @t204 () (@list @t1 @t196 @t195)) % 19.40/19.61 (define @t205 () (forall @t204 @t203)) % 19.40/19.61 (define @t206 () (@list @t196 @t195)) % 19.40/19.61 (define @t207 () (forall @t206 @t203)) % 19.40/19.61 (define @t208 () (forall @t206 @t202)) % 19.40/19.61 (define @t209 () (or @t128 @t35 @t208)) % 19.40/19.61 (define @t210 () (and @t59 @t58)) % 19.40/19.61 (define @t211 () (or @t127 @t126 @t210 @t25)) % 19.40/19.61 (define @t212 () (forall @t33 @t211)) % 19.40/19.61 (define @t213 () (or @t128 @t35 @t212)) % 19.40/19.61 (define @t214 () (=> @t36 @t212)) % 19.40/19.61 (define @t215 () (and @t146 @t142)) % 19.40/19.61 (define @t216 () (or @t154 @t85 @t153 @t152 @t215 @t150)) % 19.40/19.61 (define @t217 () (forall @t204 @t201)) % 19.40/19.61 (define @t218 () (or @t154 @t158 @t153 @t152 @t215 @t150)) % 19.40/19.61 (define @t219 () (= tptp.xm @t86)) % 19.40/19.61 (define @t220 () (and @t2 @t219)) % 19.40/19.61 (define @t221 () (forall @t3 (not @t220))) % 19.40/19.61 (define @t222 () (not @t221)) % 19.40/19.61 (define @t223 () (forall @t3 (or @t128 (not (= @t86 @t95))))) % 19.40/19.61 (define @t224 () (@quantifiers_skolemize @t223 0)) % 19.40/19.61 (define @t225 () (not @t105)) % 19.40/19.61 (define @t226 () (or @t128 @t225)) % 19.40/19.61 (define @t227 () (forall @t3 @t226)) % 19.40/19.61 (define @t228 () (forall @t3 (not @t106))) % 19.40/19.61 (define @t229 () (not @t228)) % 19.40/19.61 (define @t230 () (tptp.sdtpldt0 tptp.xp @t224)) % 19.40/19.61 (define @t231 () (= @t95 @t230)) % 19.40/19.61 (define @t232 () (not @t231)) % 19.40/19.61 (define @t233 () (tptp.aNaturalNumber0 @t224)) % 19.40/19.61 (define @t234 () (not @t233)) % 19.40/19.61 (define @t235 () (or @t234 @t232)) % 19.40/19.61 (define @t236 () (not @t235)) % 19.40/19.61 (define @t237 () (not @t223)) % 19.40/19.61 (define @t238 () (not (= @t230 @t95))) % 19.40/19.61 (define @t239 () (or @t234 @t238)) % 19.40/19.61 (define @t240 () (not @t239)) % 19.40/19.61 (define @t241 () (@list true)) % 19.40/19.61 (define @t242 () (@list @t235)) % 19.40/19.61 (define @t243 () (not (= tptp.xm @t230))) % 19.40/19.61 (define @t244 () (or @t234 @t243)) % 19.40/19.61 (define @t245 () (= @t84 @t143)) % 19.40/19.61 (define @t246 () (not @t245)) % 19.40/19.61 (define @t247 () (not @t146)) % 19.40/19.61 (define @t248 () (and @t245 @t146 @t120)) % 19.40/19.61 (define @t249 () (@list true false)) % 19.40/19.61 (define @t250 () (or (not (forall @t3 (or @t128 (not (= @t110 @t143))))) @t144)) % 19.40/19.61 (define @t251 () (not @t250)) % 19.40/19.61 (define @t252 () (not @t194)) % 19.40/19.61 (define @t253 () (not (= @t143 @t110))) % 19.40/19.61 (define @t254 () (or @t128 @t253)) % 19.40/19.61 (define @t255 () (forall @t3 @t254)) % 19.40/19.61 (define @t256 () (not @t255)) % 19.40/19.61 (define @t257 () (or @t256 @t144)) % 19.40/19.61 (define @t258 () (not (= @t143 @t108))) % 19.40/19.61 (define @t259 () (and @t121 @t194 @t258 @t257)) % 19.40/19.61 (define @t260 () (= @t96 @t110)) % 19.40/19.61 (define @t261 () (not @t260)) % 19.40/19.61 (define @t262 () (or @t128 @t261)) % 19.40/19.61 (define @t263 () (forall @t3 @t262)) % 19.40/19.61 (define @t264 () (not @t263)) % 19.40/19.61 (define @t265 () (or @t264 @t109)) % 19.40/19.61 (define @t266 () (= @t96 @t108)) % 19.40/19.61 (define @t267 () (not @t266)) % 19.40/19.61 (define @t268 () (and @t121 @t194 @t267 @t265)) % 19.40/19.61 (define @t269 () (and @t2 @t260)) % 19.40/19.61 (define @t270 () (forall @t3 (not @t269))) % 19.40/19.61 (define @t271 () (not @t270)) % 19.40/19.61 (define @t272 () (and @t2 @t193)) % 19.40/19.61 (define @t273 () (forall @t3 (not @t272))) % 19.40/19.61 (define @t274 () (not @t273)) % 19.40/19.61 (define @t275 () (not @t147)) % 19.40/19.61 (define @t276 () (tptp.sdtlseqdt0 tptp.xp @t95)) % 19.40/19.61 (define @t277 () (not @t276)) % 19.40/19.61 (define @t278 () (not @t92)) % 19.40/19.61 (define @t279 () (or @t153 @t154 @t152 @t278 @t277 @t148)) % 19.40/19.61 (define @t280 () (not @t279)) % 19.40/19.61 (define @t281 () (forall @t16 @t129)) % 19.40/19.61 (assume @p1 (forall @t3 (=> @t2 true))) % 19.40/19.61 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 19.40/19.61 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 19.40/19.61 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 19.40/19.61 (assume @p5 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t9)))) % 19.40/19.61 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t10)))) % 19.40/19.61 (assume @p7 (forall @t16 (=> @t15 (= @t13 (tptp.sdtpldt0 @t1 @t12))))) % 19.40/19.61 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 19.40/19.61 (assume @p9 (forall @t8 (=> @t7 (= @t9 @t17)))) % 19.40/19.61 (assume @p10 (forall @t16 (=> @t15 (= (tptp.sdtasdt0 @t9 @t11) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t11)))))) % 19.40/19.61 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 19.40/19.61 (assume @p12 @t22) % 19.40/19.61 (assume @p13 (forall @t16 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t12) (tptp.sdtpldt0 @t9 @t24)) (= (tptp.sdtasdt0 @t12 @t1) (tptp.sdtpldt0 @t17 @t23)))))) % 19.40/19.61 (assume @p14 (forall @t16 (=> @t15 (=> (or (= @t5 @t27) (= @t10 @t26)) @t25)))) % 19.40/19.61 (assume @p15 @t39) % 19.40/19.61 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t35 @t40))))) % 19.40/19.61 (assume @p17 @t44) % 19.40/19.61 (assume @p18 (forall @t8 (=> @t7 (= @t47 (exists @t46 @t45))))) % 19.40/19.61 (assume @p19 (forall @t8 (=> @t7 (=> @t47 (forall @t46 (= (= @t11 (tptp.sdtmndt0 @t4 @t1)) @t45)))))) % 19.40/19.61 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 19.40/19.61 (assume @p21 (forall @t8 (=> @t7 (=> (and @t47 @t49) @t48)))) % 19.40/19.61 (assume @p22 @t54) % 19.40/19.61 (assume @p23 (forall @t8 (=> @t7 (or @t47 (and (not @t55) @t49))))) % 19.40/19.61 (assume @p24 (forall @t8 (=> @t7 (=> @t57 (forall @t46 (=> @t14 (and (not (= @t26 @t56)) (tptp.sdtlseqdt0 @t26 @t56) (not (= @t27 @t12)) (tptp.sdtlseqdt0 @t27 @t12)))))))) % 19.40/19.61 (assume @p25 @t64) % 19.40/19.61 (assume @p26 (forall @t3 (=> @t2 (or @t35 @t65 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 19.40/19.61 (assume @p27 (forall @t8 (=> @t7 (=> @t36 (tptp.sdtlseqdt0 @t4 @t17))))) % 19.40/19.61 (assume @p28 (forall @t8 (=> @t7 (=> @t66 true)))) % 19.40/19.61 (assume @p29 (forall @t8 (=> @t7 (=> @t57 @t66)))) % 19.40/19.61 (assume @p30 (forall @t8 (=> @t7 (= @t68 (exists @t46 @t67))))) % 19.40/19.61 (assume @p31 (forall @t8 (=> @t7 (=> @t70 (forall @t46 (= (= @t11 @t69) @t67)))))) % 19.40/19.61 (assume @p32 (forall @t16 (=> @t15 (=> (and @t68 (tptp.doDivides0 @t4 @t11)) @t71)))) % 19.40/19.61 (assume @p33 (forall @t16 (=> @t15 (=> (and @t68 @t71) @t72)))) % 19.40/19.61 (assume @p34 (forall @t16 (=> @t15 (=> (and @t68 @t72) @t71)))) % 19.40/19.61 (assume @p35 (forall @t8 (=> @t7 (=> (and @t68 (not @t40)) @t47)))) % 19.40/19.61 (assume @p36 (forall @t8 (=> @t7 (=> @t70 (forall @t46 (=> @t14 (= (tptp.sdtasdt0 @t11 @t69) (tptp.sdtsldt0 (tptp.sdtasdt0 @t11 @t4) @t1)))))))) % 19.40/19.61 (assume @p37 (forall @t3 (=> @t2 (= (tptp.isPrime0 @t1) (and @t36 @t75 (forall @t74 (=> (and @t6 @t73) (or (= @t4 tptp.sz10) @t55)))))))) % 19.40/19.61 (assume @p38 (forall @t3 (=> (and @t2 @t36 @t75) (exists @t74 (and @t6 @t73 (tptp.isPrime0 @t4)))))) % 19.40/19.61 (assume @p39 (and @t78 @t77 @t76)) % 19.40/19.61 (assume @p40 (forall @t16 (=> @t15 (=> (and (or (and (not (= @t11 tptp.sz00)) (not (= @t11 tptp.sz10)) (forall @t82 (=> (and @t81 (exists (@list @t83) (and (tptp.aNaturalNumber0 @t83) (= @t11 (tptp.sdtasdt0 @t79 @t83)))) (tptp.doDivides0 @t79 @t11)) (or (= @t79 tptp.sz10) (= @t79 @t11))))) (tptp.isPrime0 @t11)) (or (exists @t82 (and @t81 (= @t9 @t80))) (tptp.doDivides0 @t11 @t9))) (=> (tptp.iLess0 @t13 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (and (exists @t82 (and @t81 (= @t1 @t80))) (tptp.doDivides0 @t11 @t1)) (and (exists @t82 (and @t81 (= @t4 @t80))) (tptp.doDivides0 @t11 @t4)))))))) % 19.40/19.61 (assume @p41 (and (not @t85) (not (= tptp.xp tptp.sz10)) (forall @t3 (=> (and @t2 (or (exists @t74 (and @t6 (= tptp.xp @t9))) (tptp.doDivides0 @t1 tptp.xp))) (or @t65 (= @t1 tptp.xp)))) (tptp.isPrime0 tptp.xp) (exists @t3 (and @t2 (= @t84 (tptp.sdtasdt0 tptp.xp @t1)))) (tptp.doDivides0 tptp.xp @t84))) % 19.40/19.61 (assume @p42 (not (or (exists @t3 (and @t2 (= @t86 tptp.xn))) (tptp.sdtlseqdt0 tptp.xp tptp.xn)))) % 19.40/19.61 (assume @p43 @t91) % 19.40/19.61 (assume @p44 (and (not @t94) (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xn @t1) tptp.xp))) @t93 (not (= tptp.xm tptp.xp)) (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xm @t1) tptp.xp))) @t92)) % 19.40/19.61 (assume @p45 (and @t98 @t97 (= tptp.xk @t95))) % 19.40/19.61 (assume @p46 @t102) % 19.40/19.61 (assume @p47 (and (not @t100) (not @t99))) % 19.40/19.61 (assume @p48 (and (tptp.aNaturalNumber0 tptp.xr) (exists @t3 (and @t2 (= tptp.xk @t103))) (tptp.doDivides0 tptp.xr tptp.xk) (not (= tptp.xr tptp.sz00)) (not (= tptp.xr tptp.sz10)) (forall @t3 (=> (and @t2 (or (exists @t74 (and @t6 (= tptp.xr @t9))) (tptp.doDivides0 @t1 tptp.xr))) (or @t65 (= @t1 tptp.xr)))) (tptp.isPrime0 tptp.xr))) % 19.40/19.61 (assume @p49 (and (exists @t3 (and @t2 (= (tptp.sdtpldt0 tptp.xr @t1) tptp.xk))) (exists @t3 (and @t2 (= @t84 @t103))) (tptp.doDivides0 tptp.xr @t84))) % 19.40/19.61 (assume @p50 (and @t107 @t104)) % 19.40/19.61 (assume @p51 @t123) % 19.40/19.61 (assume @p52 true) % 19.40/19.61 (step @p53 :rule aci_norm :args ((= (or @t131 @t130) @t129))) % 19.40/19.61 (step @p54 :rule aci_norm :args ((= (or (or @t125 @t124) @t50) @t130))) % 19.40/19.61 (step @p55 :rule refl :args (@t50)) % 19.40/19.61 (step @p56 :rule bool-and-de-morgan :args (@t47 @t51 true)) % 19.40/19.61 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t52) @t50))) % 19.40/19.61 (step @p58 :rule trans :premises (@p57 @p54)) % 19.40/19.61 (step @p59 :rule bool-impl-elim :args (@t52 @t50)) % 19.40/19.61 (step @p60 :rule trans :premises (@p59 @p58)) % 19.40/19.61 (step @p61 :rule aci_norm :args ((= (or @t128 @t132) @t131))) % 19.40/19.61 (step @p62 :rule bool-and-de-morgan :args (@t6 @t14 true)) % 19.40/19.61 (step @p63 :rule refl :args (@t128)) % 19.40/19.61 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t128 @t133))) % 19.40/19.61 (step @p65 :rule bool-and-de-morgan :args (@t2 @t6 (and @t14))) % 19.40/19.61 (step @p66 :rule trans :premises (@p65 @p64)) % 19.40/19.61 (step @p67 :rule trans :premises (@p66 @p61)) % 19.40/19.61 (step @p68 :rule nary_cong :premises (@p67 @p60) :args ((or @t134 @t53))) % 19.40/19.61 (step @p69 :rule trans :premises (@p68 @p53)) % 19.40/19.61 (step @p70 :rule bool-impl-elim :args (@t15 @t53)) % 19.40/19.61 (step @p71 :rule trans :premises (@p70 @p69)) % 19.40/19.61 (step @p72 :rule cong :premises (@p71) :args (@t54)) % 19.40/19.61 (step @p73 :rule eq_resolve :premises (@p22 @p72)) % 19.40/19.61 (step @p74 :rule aci_norm :args ((= (or @t131 @t136) @t135))) % 19.40/19.61 (step @p75 :rule aci_norm :args ((= (or (or @t35 @t25 @t124) @t60) @t136))) % 19.40/19.61 (step @p76 :rule refl :args (@t60)) % 19.40/19.61 (step @p77 :rule refl :args (@t124)) % 19.40/19.61 (step @p78 :rule bool-double-not-elim :args (@t25)) % 19.40/19.61 (step @p79 :rule bool-double-not-elim :args (@t35)) % 19.40/19.61 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args (@t139)) % 19.40/19.61 (step @p81 :rule aci_norm :args ((= (or @t138 (or @t137 @t124)) @t139))) % 19.40/19.61 (step @p82 :rule trans :premises (@p81 @p80)) % 19.40/19.61 (step @p83 :rule bool-and-de-morgan :args (@t61 @t51 true)) % 19.40/19.61 (step @p84 :rule refl :args (@t138)) % 19.40/19.61 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t138 (not (and @t61 @t51))))) % 19.40/19.61 (step @p86 :rule bool-and-de-morgan :args (@t36 @t61 (and @t51))) % 19.40/19.61 (step @p87 :rule trans :premises (@p86 @p85)) % 19.40/19.61 (step @p88 :rule trans :premises (@p87 @p82)) % 19.40/19.61 (step @p89 :rule nary_cong :premises (@p88 @p76) :args ((or (not @t62) @t60))) % 19.40/19.61 (step @p90 :rule trans :premises (@p89 @p75)) % 19.40/19.61 (step @p91 :rule bool-impl-elim :args (@t62 @t60)) % 19.40/19.61 (step @p92 :rule trans :premises (@p91 @p90)) % 19.40/19.61 (step @p93 :rule nary_cong :premises (@p67 @p92) :args ((or @t134 @t63))) % 19.40/19.61 (step @p94 :rule trans :premises (@p93 @p74)) % 19.40/19.61 (step @p95 :rule bool-impl-elim :args (@t15 @t63)) % 19.40/19.61 (step @p96 :rule trans :premises (@p95 @p94)) % 19.40/19.61 (step @p97 :rule cong :premises (@p96) :args (@t64)) % 19.40/19.61 (step @p98 :rule eq_resolve :premises (@p25 @p97)) % 19.40/19.61 (step @p99 :rule refl :args (@t147)) % 19.40/19.61 (step @p100 :rule refl :args (@t149)) % 19.40/19.61 (step @p101 :rule refl :args (@t150)) % 19.40/19.61 (step @p102 :rule eq-symm :args (tptp.xp tptp.sz00)) % 19.40/19.61 (step @p103 :rule refl :args (@t152)) % 19.40/19.61 (step @p104 :rule refl :args (@t153)) % 19.40/19.61 (step @p105 :rule refl :args (@t154)) % 19.40/19.61 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103 @p102 @p101 @p100 @p99) :args (@t155)) % 19.40/19.61 (step @p107 :rule refl :args (@t156)) % 19.40/19.61 (step @p108 :rule cong :premises (@p107 @p106) :args ((=> @t156 @t155))) % 19.40/19.61 (assume-push @p487 @t156) % 19.40/19.61 (step @p110 :rule instantiate :premises (@p98) :args (@t157)) % 19.40/19.61 (step-pop @p488 :rule scope :premises (@p110)) % 19.40/19.61 (step @p111 :rule process_scope :premises (@p488) :args (@t155)) % 19.40/19.61 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 19.40/19.61 (step @p114 :rule implies_elim :premises (@p113)) % 19.40/19.61 (step @p115 :rule chain_m_resolution :premises (@p114 @p98) :args (@t159 @t160 @t161)) % 19.40/19.61 (step @p116 :rule refl :args (@t163)) % 19.40/19.61 (step @p117 :rule refl :args (@t164)) % 19.40/19.61 (step @p118 :rule refl :args (@t94)) % 19.40/19.61 (step @p119 :rule eq-symm :args (tptp.xm tptp.sz00)) % 19.40/19.61 (step @p120 :rule refl :args (@t165)) % 19.40/19.61 (step @p121 :rule nary_cong :premises (@p104 @p120 @p105 @p119 @p118 @p117 @p116) :args (@t166)) % 19.40/19.61 (step @p122 :rule cong :premises (@p107 @p121) :args ((=> @t156 @t166))) % 19.40/19.61 (assume-push @p489 @t156) % 19.40/19.61 (step @p124 :rule instantiate :premises (@p98) :args ((@list tptp.xm tptp.xn tptp.xp))) % 19.40/19.61 (step-pop @p490 :rule scope :premises (@p124)) % 19.40/19.61 (step @p125 :rule process_scope :premises (@p490) :args (@t166)) % 19.40/19.61 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 19.40/19.61 (step @p128 :rule implies_elim :premises (@p127)) % 19.40/19.61 (step @p129 :rule chain_m_resolution :premises (@p128 @p98) :args (@t168 @t160 @t161)) % 19.40/19.61 (step @p130 :rule aci_norm :args ((= (or (or @t128 @t127) @t173) @t172))) % 19.40/19.61 (step @p131 :rule aci_norm :args ((= (or @t171 @t174) @t173))) % 19.40/19.61 (step @p132 :rule bool-impl-elim :args (@t170 @t174)) % 19.40/19.61 (step @p133 :rule trans :premises (@p132 @p131)) % 19.40/19.61 (step @p134 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 19.40/19.61 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or (not @t7) @t175))) % 19.40/19.61 (step @p136 :rule trans :premises (@p135 @p130)) % 19.40/19.61 (step @p137 :rule bool-impl-elim :args (@t7 @t175)) % 19.40/19.61 (step @p138 :rule trans :premises (@p137 @p136)) % 19.40/19.61 (step @p139 :rule cong :premises (@p138) :args ((forall @t8 (=> @t7 @t175)))) % 19.40/19.61 (step @p140 :rule eq-symm :args (@t4 tptp.sz00)) % 19.40/19.61 (step @p141 :rule refl :args (@t35)) % 19.40/19.61 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t41)) % 19.40/19.61 (step @p143 :rule eq-symm :args (@t9 tptp.sz00)) % 19.40/19.61 (step @p144 :rule cong :premises (@p143 @p142) :args (@t42)) % 19.40/19.61 (step @p145 :rule refl :args (@t7)) % 19.40/19.61 (step @p146 :rule cong :premises (@p145 @p144) :args (@t43)) % 19.40/19.61 (step @p147 :rule cong :premises (@p146) :args (@t44)) % 19.40/19.61 (step @p148 :rule trans :premises (@p147 @p139)) % 19.40/19.61 (step @p149 :rule eq_resolve :premises (@p17 @p148)) % 19.40/19.61 (step @p150 :rule refl :args (@t176)) % 19.40/19.61 (step @p151 :rule refl :args (@t177)) % 19.40/19.61 (step @p152 :rule nary_cong :premises (@p105 @p103 @p151 @p102 @p150) :args (@t178)) % 19.40/19.61 (step @p153 :rule refl :args (@t179)) % 19.40/19.61 (step @p154 :rule cong :premises (@p153 @p152) :args ((=> @t179 @t178))) % 19.40/19.61 (assume-push @p491 @t179) % 19.40/19.61 (step @p156 :rule instantiate :premises (@p149) :args ((@list tptp.xp @t95))) % 19.40/19.61 (step-pop @p492 :rule scope :premises (@p156)) % 19.40/19.61 (step @p157 :rule process_scope :premises (@p492) :args (@t178)) % 19.40/19.61 (step @p159 :rule eq_resolve :premises (@p157 @p154)) % 19.40/19.61 (step @p160 :rule implies_elim :premises (@p159)) % 19.40/19.61 (step @p161 :rule chain_m_resolution :premises (@p160 @p149) :args (@t180 @t160 (@list @t179))) % 19.40/19.61 (step @p162 :rule and_elim :premises (@p45) :args (2)) % 19.40/19.61 (step @p163 :rule cong :premises (@p162) :args (@t98)) % 19.40/19.61 (step @p164 :rule and_elim :premises (@p45) :args (0)) % 19.40/19.61 (step @p165 :rule eq_resolve :premises (@p164 @p163)) % 19.40/19.61 (step @p166 :rule and_elim :premises (@p39) :args (2)) % 19.40/19.61 (step @p167 :rule refl :args (tptp.sz10)) % 19.40/19.61 (step @p168 :rule cong :premises (@p167 @p162) :args (@t181)) % 19.40/19.61 (step @p169 :rule refl :args (tptp.sz00)) % 19.40/19.61 (step @p170 :rule cong :premises (@p169 @p162) :args (@t182)) % 19.40/19.61 (step @p171 :rule nary_cong :premises (@p170 @p168) :args (@t183)) % 19.40/19.61 (step @p172 :rule cong :premises (@p171) :args ((not @t183))) % 19.40/19.61 (step @p173 :rule eq-symm :args (tptp.xk tptp.sz10)) % 19.40/19.61 (step @p174 :rule eq-symm :args (tptp.xk tptp.sz00)) % 19.40/19.61 (step @p175 :rule nary_cong :premises (@p174 @p173) :args (@t101)) % 19.40/19.61 (step @p176 :rule cong :premises (@p175) :args (@t102)) % 19.40/19.61 (step @p177 :rule trans :premises (@p176 @p172)) % 19.40/19.61 (step @p178 :rule eq_resolve :premises (@p46 @p177)) % 19.40/19.61 (step @p179 :rule not_or_elim :premises (@p178) :args (0)) % 19.40/19.61 (step @p180 :rule and_elim :premises (@p41) :args (0)) % 19.40/19.61 (step @p181 :rule symm :premises (@p180)) % 19.40/19.61 (step @p182 :rule cnf_or_pos :args (@t180)) % 19.40/19.61 (step @p183 :rule reordering :premises (@p182) :args ((or @t158 @t176 @t154 @t152 @t177 (not @t180)))) % 19.40/19.61 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p179 @p166 @p165 @p161) :args (@t177 (@list true true false 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:rule cong :premises (@p278 @p277) :args (@t37)) % 19.40/19.61 (step @p280 :rule cong :premises (@p200 @p279) :args (@t38)) % 19.40/19.61 (step @p281 :rule cong :premises (@p280) :args (@t39)) % 19.40/19.61 (step @p282 :rule trans :premises (@p281 @p266)) % 19.40/19.61 (step @p283 :rule eq_resolve :premises (@p15 @p282)) % 19.40/19.61 (step @p284 :rule refl :args (@t215)) % 19.40/19.61 (step @p285 :rule nary_cong :premises (@p105 @p102 @p104 @p103 @p284 @p101) :args (@t216)) % 19.40/19.61 (step @p286 :rule refl :args (@t217)) % 19.40/19.61 (step @p287 :rule cong :premises (@p286 @p285) :args ((=> @t217 @t216))) % 19.40/19.61 (assume-push @p501 @t217) % 19.40/19.61 (step @p289 :rule instantiate :premises (@p283) :args (@t157)) % 19.40/19.61 (step-pop @p502 :rule scope :premises (@p289)) % 19.40/19.61 (step @p290 :rule process_scope :premises (@p502) :args (@t216)) % 19.40/19.61 (step @p292 :rule eq_resolve :premises (@p290 @p287)) % 19.40/19.61 (step @p293 :rule implies_elim :premises 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:rule nary_cong :premises (@p373 @p372 @p371) :args ((or @t121 @t246 @t247))) % 19.40/19.61 (assume-push @p505 @t245) % 19.40/19.61 (assume-push @p506 @t146) % 19.40/19.61 (assume-push @p507 @t120) % 19.40/19.61 (step @p378 :rule evaluate :args ((= false true))) % 19.40/19.61 (step @p379 :rule symm :premises (@p507)) % 19.40/19.61 (step @p380 :rule trans :premises (@p379 @p191)) % 19.40/19.61 (step @p381 :rule true_intro :premises (@p380)) % 19.40/19.61 (step @p382 :rule false_intro :premises (@p370)) % 19.40/19.61 (step @p383 :rule symm :premises (@p382)) % 19.40/19.61 (step @p384 :rule trans :premises (@p383 @p381)) % 19.40/19.61 (step @p385 false :rule eq_resolve :premises (@p384 @p378)) % 19.40/19.61 (step-pop @p508 :rule scope :premises (@p385)) % 19.40/19.61 (step-pop @p509 :rule scope :premises (@p508)) % 19.40/19.61 (step-pop @p510 :rule scope :premises (@p509)) % 19.40/19.61 (step @p386 :rule process_scope :premises (@p510) :args (false)) % 19.40/19.61 (assume-push @p511 @t120) % 19.40/19.61 (assume-push @p512 @t245) % 19.40/19.61 (assume-push @p513 @t146) % 19.40/19.61 (step @p393 :rule and_intro :premises (@p191 @p370 @p511)) % 19.40/19.61 (step-pop @p514 :rule scope :premises (@p393)) % 19.40/19.61 (step-pop @p515 :rule scope :premises (@p514)) % 19.40/19.61 (step-pop @p516 :rule scope :premises (@p515)) % 19.40/19.61 (step @p394 :rule process_scope :premises (@p516) :args (@t248)) % 19.40/19.61 (step @p398 :rule implies_elim :premises (@p394)) % 19.40/19.61 (step @p399 :rule resolution :premises (@p398 @p386) :args (true @t248)) % 19.40/19.61 (step @p400 :rule not_and :premises (@p399)) % 19.40/19.61 (step @p401 :rule eq_resolve :premises (@p400 @p374)) % 19.40/19.61 (step @p402 :rule reordering :premises (@p401) :args ((or @t121 @t145 @t246))) % 19.40/19.61 (step @p403 :rule chain_m_resolution :premises (@p402 @p370 @p191) :args (@t121 @t249 (@list @t145 @t245))) % 19.40/19.61 (step @p404 :rule refl :args (@t251)) % 19.40/19.61 (step @p405 :rule refl :args (@t252)) % 19.40/19.61 (step @p406 :rule bool-double-not-elim :args (@t120)) % 19.40/19.61 (step @p407 :rule nary_cong :premises (@p406 @p405 @p371 @p404) :args ((or (not @t121) @t252 @t247 @t251))) % 19.40/19.61 (step @p408 :rule refl :args (@t144)) % 19.40/19.61 (step @p409 :rule eq-symm :args (@t143 @t110)) % 19.40/19.61 (step @p410 :rule cong :premises (@p409) :args (@t253)) % 19.40/19.61 (step @p411 :rule nary_cong :premises (@p314 @p410) :args (@t254)) % 19.40/19.61 (step @p412 :rule cong :premises (@p411) :args (@t255)) % 19.40/19.61 (step @p413 :rule cong :premises (@p412) :args (@t256)) % 19.40/19.61 (step @p414 :rule nary_cong :premises (@p413 @p408) :args (@t257)) % 19.40/19.61 (step @p415 :rule eq-symm :args (@t143 @t108)) % 19.40/19.61 (step @p416 :rule cong :premises (@p415) :args (@t258)) % 19.40/19.61 (step @p417 :rule refl :args (@t194)) % 19.40/19.61 (step @p418 :rule nary_cong :premises (@p373 @p417 @p416 @p414) :args (@t259)) % 19.40/19.61 (step @p419 :rule cong :premises (@p418) :args ((not @t259))) % 19.40/19.61 (step @p420 :rule refl :args (@t108)) % 19.40/19.61 (step @p421 :rule cong :premises (@p420 @p187) :args (@t109)) % 19.40/19.61 (step @p422 :rule refl :args (@t110)) % 19.40/19.61 (step @p423 :rule cong :premises (@p187 @p422) :args (@t260)) % 19.40/19.61 (step @p424 :rule cong :premises (@p423) :args (@t261)) % 19.40/19.61 (step @p425 :rule nary_cong :premises (@p314 @p424) :args (@t262)) % 19.40/19.61 (step @p426 :rule cong :premises (@p425) :args (@t263)) % 19.40/19.61 (step @p427 :rule cong :premises (@p426) :args (@t264)) % 19.40/19.61 (step @p428 :rule nary_cong :premises (@p427 @p421) :args (@t265)) % 19.40/19.61 (step @p429 :rule cong :premises (@p187 @p420) :args (@t266)) % 19.40/19.61 (step @p430 :rule cong :premises (@p429) :args (@t267)) % 19.40/19.61 (step @p431 :rule nary_cong :premises (@p373 @p417 @p430 @p428) :args (@t268)) % 19.40/19.61 (step @p432 :rule cong :premises (@p431) :args ((not @t268))) % 19.40/19.61 (step @p433 :rule trans :premises (@p432 @p419)) % 19.40/19.61 (step @p434 :rule refl :args (@t109)) % 19.40/19.61 (step @p435 :rule bool-and-de-morgan :args (@t2 @t260 true)) % 19.40/19.61 (step @p436 :rule cong :premises (@p435) :args (@t270)) % 19.40/19.61 (step @p437 :rule cong :premises (@p436) :args (@t271)) % 19.40/19.61 (step @p438 :rule exists-elim :args ((= (exists @t3 @t269) @t271))) % 19.40/19.61 (step @p439 :rule trans :premises (@p438 @p437)) % 19.40/19.61 (step @p440 :rule eq-symm :args (@t110 @t96)) % 19.40/19.61 (step @p441 :rule nary_cong :premises (@p200 @p440) :args (@t111)) % 19.40/19.61 (step @p442 :rule cong :premises (@p441) :args (@t112)) % 19.40/19.61 (step @p443 :rule trans :premises (@p442 @p439)) % 19.40/19.61 (step @p444 :rule nary_cong :premises (@p443 @p434) :args (@t113)) % 19.40/19.61 (step @p445 :rule eq-symm :args (@t108 @t96)) % 19.40/19.61 (step @p446 :rule cong :premises (@p445) :args (@t114)) % 19.40/19.61 (step @p447 :rule refl :args (@t115)) % 19.40/19.61 (step @p448 :rule bool-and-de-morgan :args (@t2 @t193 true)) % 19.40/19.61 (step @p449 :rule cong :premises (@p448) :args (@t273)) % 19.40/19.61 (step @p450 :rule cong :premises (@p449) :args (@t274)) % 19.40/19.61 (step @p451 :rule exists-elim :args ((= (exists @t3 @t272) @t274))) % 19.40/19.61 (step @p452 :rule trans :premises (@p451 @p450)) % 19.40/19.61 (step @p453 :rule eq-symm :args (@t116 @t108)) % 19.40/19.61 (step @p454 :rule nary_cong :premises (@p200 @p453) :args (@t117)) % 19.40/19.61 (step @p455 :rule cong :premises (@p454) :args (@t118)) % 19.40/19.61 (step @p456 :rule trans :premises (@p455 @p452)) % 19.40/19.61 (step @p457 :rule nary_cong :premises (@p456 @p447) :args (@t119)) % 19.40/19.61 (step @p458 :rule nary_cong :premises (@p373 @p457 @p446 @p444) :args (@t122)) % 19.40/19.61 (step @p459 :rule cong :premises (@p458) :args (@t123)) % 19.40/19.61 (step @p460 :rule trans :premises (@p459 @p433)) % 19.40/19.61 (step @p461 :rule eq_resolve :premises (@p51 @p460)) % 19.40/19.61 (step @p462 :rule not_and :premises (@p461)) % 19.40/19.61 (step @p463 :rule eq_resolve :premises (@p462 @p407)) % 19.40/19.61 (step @p464 :rule reordering :premises (@p463) :args ((or @t120 @t145 @t252 @t251))) % 19.40/19.61 (step @p465 :rule chain_m_resolution :premises (@p464 @p403 @p370 @p243) :args (@t251 (@list true true false) (@list @t120 @t145 @t194))) % 19.40/19.61 (step @p466 :rule cnf_or_neg :args (@t250 1)) % 19.40/19.61 (step @p467 :rule chain_m_resolution :premises (@p466 @p465) :args ((not @t144) @t241 (@list @t250))) % 19.40/19.61 (step @p468 :rule cnf_and_pos :args (@t147 1)) % 19.40/19.61 (step @p469 :rule reordering :premises (@p468) :args ((or @t144 @t275))) % 19.40/19.61 (step @p470 :rule chain_m_resolution :premises (@p469 @p467) :args (@t275 @t241 (@list @t144))) % 19.40/19.61 (step @p471 :rule cnf_or_pos :args (@t159)) % 19.40/19.61 (step @p472 :rule reordering :premises (@p471) :args ((or @t158 @t153 @t154 @t152 @t150 @t149 @t147 (not @t159)))) % 19.40/19.61 (step @p473 :rule chain_m_resolution :premises (@p472 @p181 @p234 @p166 @p165 @p364 @p470 @p115) :args (@t149 (@list true false false false true true false) (@list @t158 @t77 @t76 @t151 @t150 @t147 @t159))) % 19.40/19.61 (step @p474 :rule cong :premises (@p186 @p162) :args (@t104)) % 19.40/19.61 (step @p475 :rule and_elim :premises (@p50) :args (1)) % 19.40/19.61 (step @p476 :rule eq_resolve :premises (@p475 @p474)) % 19.40/19.61 (step @p477 :rule and_elim :premises (@p44) :args (5)) % 19.40/19.61 (step @p478 :rule cnf_or_pos :args (@t279)) % 19.40/19.61 (step @p479 :rule reordering :premises (@p478) :args ((or @t153 @t154 @t278 @t152 @t277 @t148 @t280))) % 19.40/19.61 (step @p480 :rule chain_m_resolution :premises (@p479 @p234 @p166 @p477 @p165 @p476 @p473) :args (@t280 (@list false false false false false true) (@list @t77 @t76 @t92 @t151 @t276 @t148))) % 19.40/19.61 (assume-push @p517 @t281) % 19.40/19.61 (step @p482 :rule instantiate :premises (@p73) :args ((@list tptp.xm tptp.xp @t95))) % 19.40/19.61 (step-pop @p518 :rule scope :premises (@p482)) % 19.40/19.61 (step @p483 :rule process_scope :premises (@p518) :args (@t279)) % 19.40/19.61 (step @p485 :rule implies_elim :premises (@p483)) % 19.40/19.61 (step @p486 false :rule chain_m_resolution :premises (@p485 @p480 @p73) :args (false @t249 (@list @t279 @t281))) % 19.40/19.61 ) % 19.40/19.61 % SZS output end Proof % 19.40/19.61 % cvc5 exiting %------------------------------------------------------------------------------