%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG111+4 : 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 : n001.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 08:45:43 AM UTC 2026 % Result : Theorem 28.31s 28.51s % Output : Proof 28.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG111+4 : 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 % 0.16/0.34 % Computer : n001.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 14:08:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 28.31/28.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.31/28.51 --- Run --no-e-matching --full-saturate-quant at 6... % 28.31/28.51 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.31/28.51 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.31/28.51 % SZS status Theorem % 28.31/28.51 % SZS output start Proof % 28.31/28.51 ( % 28.31/28.51 (declare-sort $$unsorted 0) % 28.31/28.51 (declare-const tptp.xI $$unsorted) % 28.31/28.51 (declare-const tptp.xc $$unsorted) % 28.31/28.51 (declare-const tptp.xa $$unsorted) % 28.31/28.51 (declare-const tptp.slsdtgt0 (-> $$unsorted $$unsorted)) % 28.31/28.51 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 28.31/28.51 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 28.31/28.51 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 28.31/28.51 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 28.31/28.51 (declare-const tptp.sz00 $$unsorted) % 28.31/28.51 (declare-const tptp.sz10 $$unsorted) % 28.31/28.51 (declare-const tptp.aGcdOfAnd0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 28.31/28.51 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 28.31/28.51 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 28.31/28.51 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 28.31/28.51 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 28.31/28.51 (declare-const tptp.misRelativelyPrime0 (-> $$unsorted $$unsorted Bool)) % 28.31/28.51 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 28.31/28.51 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 28.31/28.51 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 28.31/28.51 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 28.31/28.51 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 28.31/28.51 (declare-const tptp.xb $$unsorted) % 28.31/28.51 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 28.31/28.51 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 28.31/28.51 (define @t1 () (@var "W0" $$unsorted)) % 28.31/28.51 (define @t2 () (tptp.aElement0 @t1)) % 28.31/28.51 (define @t3 () (@list @t1)) % 28.31/28.51 (define @t4 () (tptp.smndt0 @t1)) % 28.31/28.51 (define @t5 () (@var "W1" $$unsorted)) % 28.31/28.51 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 28.31/28.51 (define @t7 () (tptp.aElement0 @t5)) % 28.31/28.51 (define @t8 () (and @t2 @t7)) % 28.31/28.51 (define @t9 () (@list @t1 @t5)) % 28.31/28.51 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 28.31/28.51 (define @t11 () (@var "W2" $$unsorted)) % 28.31/28.51 (define @t12 () (tptp.sdtpldt0 @t5 @t11)) % 28.31/28.51 (define @t13 () (tptp.aElement0 @t11)) % 28.31/28.51 (define @t14 () (and @t2 @t7 @t13)) % 28.31/28.51 (define @t15 () (@list @t1 @t5 @t11)) % 28.31/28.51 (define @t16 () (tptp.sdtasdt0 @t5 @t1)) % 28.31/28.51 (define @t17 () (tptp.sdtasdt0 @t1 @t11)) % 28.31/28.51 (define @t18 () (tptp.smndt0 tptp.sz10)) % 28.31/28.51 (define @t19 () (= @t5 tptp.sz00)) % 28.31/28.51 (define @t20 () (= @t1 tptp.sz00)) % 28.31/28.51 (define @t21 () (tptp.aSet0 @t1)) % 28.31/28.51 (define @t22 () (tptp.aElementOf0 @t5 @t1)) % 28.31/28.51 (define @t23 () (@list @t5)) % 28.31/28.51 (define @t24 () (tptp.aElementOf0 @t11 @t1)) % 28.31/28.51 (define @t25 () (tptp.aElementOf0 @t11 @t5)) % 28.31/28.51 (define @t26 () (@list @t11)) % 28.31/28.51 (define @t27 () (tptp.aSet0 @t5)) % 28.31/28.51 (define @t28 () (and @t21 @t27)) % 28.31/28.51 (define @t29 () (@var "W3" $$unsorted)) % 28.31/28.51 (define @t30 () (@var "W5" $$unsorted)) % 28.31/28.51 (define @t31 () (@var "W4" $$unsorted)) % 28.31/28.51 (define @t32 () (tptp.sdtpldt0 @t31 @t30)) % 28.31/28.51 (define @t33 () (= @t32 @t29)) % 28.31/28.51 (define @t34 () (@list @t31 @t30)) % 28.31/28.51 (define @t35 () (tptp.aElementOf0 @t29 @t11)) % 28.31/28.51 (define @t36 () (@list @t29)) % 28.31/28.51 (define @t37 () (tptp.aSet0 @t11)) % 28.31/28.51 (define @t38 () (tptp.sdtpldt1 @t1 @t5)) % 28.31/28.51 (define @t39 () (tptp.sdtasasdt0 @t1 @t5)) % 28.31/28.51 (define @t40 () (tptp.sdtasdt0 @t11 @t5)) % 28.31/28.51 (define @t41 () (tptp.aIdeal0 @t1)) % 28.31/28.51 (define @t42 () (and @t41 (tptp.aIdeal0 @t5))) % 28.31/28.51 (define @t43 () (tptp.aElement0 @t29)) % 28.31/28.51 (define @t44 () (@list @t11 @t29)) % 28.31/28.51 (define @t45 () (tptp.aNaturalNumber0 @t1)) % 28.31/28.51 (define @t46 () (tptp.sbrdtbr0 @t1)) % 28.31/28.51 (define @t47 () (not @t20)) % 28.31/28.51 (define @t48 () (tptp.sbrdtbr0 @t5)) % 28.31/28.51 (define @t49 () (tptp.sbrdtbr0 @t29)) % 28.31/28.51 (define @t50 () (not (= @t29 tptp.sz00))) % 28.31/28.51 (define @t51 () (not @t19)) % 28.31/28.51 (define @t52 () (tptp.slsdtgt0 @t1)) % 28.31/28.51 (define @t53 () (tptp.sdtasdt0 tptp.xc @t1)) % 28.31/28.51 (define @t54 () (tptp.aElement0 tptp.xc)) % 28.31/28.51 (define @t55 () (tptp.slsdtgt0 tptp.xb)) % 28.31/28.51 (define @t56 () (tptp.slsdtgt0 tptp.xa)) % 28.31/28.51 (define @t57 () (tptp.sdtpldt1 @t56 @t55)) % 28.31/28.51 (define @t58 () (tptp.aElementOf0 @t11 @t55)) % 28.31/28.51 (define @t59 () (tptp.aElementOf0 @t5 @t56)) % 28.31/28.51 (define @t60 () (and @t59 @t58 (= @t12 @t1))) % 28.31/28.51 (define @t61 () (@list @t5 @t11)) % 28.31/28.51 (define @t62 () (exists @t61 @t60)) % 28.31/28.51 (define @t63 () (tptp.aElementOf0 @t1 tptp.xI)) % 28.31/28.51 (define @t64 () (tptp.aElementOf0 @t5 tptp.xI)) % 28.31/28.51 (define @t65 () (tptp.sdtasdt0 tptp.xb @t1)) % 28.31/28.51 (define @t66 () (tptp.aElementOf0 tptp.sz00 @t55)) % 28.31/28.51 (define @t67 () (tptp.sdtasdt0 tptp.xa @t1)) % 28.31/28.51 (define @t68 () (tptp.aElementOf0 tptp.sz00 @t56)) % 28.31/28.51 (define @t69 () (tptp.sbrdtbr0 @t11)) % 28.31/28.51 (define @t70 () (not (tptp.iLess0 @t69 @t48))) % 28.31/28.51 (define @t71 () (not (= @t11 tptp.sz00))) % 28.31/28.51 (define @t72 () (tptp.aElementOf0 @t11 tptp.xI)) % 28.31/28.51 (define @t73 () (tptp.sdtpldt0 @t29 @t31)) % 28.31/28.51 (define @t74 () (tptp.aElementOf0 @t31 @t55)) % 28.31/28.51 (define @t75 () (tptp.aElementOf0 @t29 @t56)) % 28.31/28.51 (define @t76 () (and @t75 @t74 (= @t73 @t11))) % 28.31/28.51 (define @t77 () (@list @t29 @t31)) % 28.31/28.51 (define @t78 () (exists @t77 @t76)) % 28.31/28.51 (define @t79 () (and @t78 @t72 @t71)) % 28.31/28.51 (define @t80 () (=> @t79 @t70)) % 28.31/28.51 (define @t81 () (forall @t26 @t80)) % 28.31/28.51 (define @t82 () (tptp.sdtpldt0 @t11 @t29)) % 28.31/28.51 (define @t83 () (tptp.aElementOf0 @t29 @t55)) % 28.31/28.51 (define @t84 () (tptp.aElementOf0 @t11 @t56)) % 28.31/28.51 (define @t85 () (and @t84 @t83 (= @t82 @t5))) % 28.31/28.51 (define @t86 () (exists @t44 @t85)) % 28.31/28.51 (define @t87 () (or @t86 @t64)) % 28.31/28.51 (define @t88 () (and @t87 @t51 @t81)) % 28.31/28.51 (define @t89 () (exists @t23 @t88)) % 28.31/28.51 (define @t90 () (not (tptp.iLess0 @t49 @t69))) % 28.31/28.51 (define @t91 () (tptp.aElementOf0 @t29 tptp.xI)) % 28.31/28.51 (define @t92 () (tptp.aElementOf0 @t30 @t55)) % 28.31/28.51 (define @t93 () (tptp.aElementOf0 @t31 @t56)) % 28.31/28.51 (define @t94 () (and @t93 @t92 @t33)) % 28.31/28.51 (define @t95 () (exists @t34 @t94)) % 28.31/28.51 (define @t96 () (or @t95 @t91)) % 28.31/28.51 (define @t97 () (and @t96 @t50)) % 28.31/28.51 (define @t98 () (=> @t97 @t90)) % 28.31/28.51 (define @t99 () (forall @t36 @t98)) % 28.31/28.51 (define @t100 () (and @t78 @t72 @t71 @t99)) % 28.31/28.51 (define @t101 () (exists @t26 @t100)) % 28.31/28.51 (define @t102 () (tptp.iLess0 @t48 @t46)) % 28.31/28.51 (define @t103 () (=> @t102 @t101)) % 28.31/28.51 (define @t104 () (and @t87 @t51)) % 28.31/28.51 (define @t105 () (=> @t104 @t103)) % 28.31/28.51 (define @t106 () (forall @t23 @t105)) % 28.31/28.51 (define @t107 () (=> @t106 @t89)) % 28.31/28.51 (define @t108 () (and @t62 @t63 @t47)) % 28.31/28.51 (define @t109 () (=> @t108 @t107)) % 28.31/28.51 (define @t110 () (forall @t3 @t109)) % 28.31/28.51 (define @t111 () (not @t110)) % 28.31/28.51 (define @t112 () (@var "BOUND_VARIABLE_8823" $$unsorted)) % 28.31/28.51 (define @t113 () (not (tptp.aElementOf0 @t112 @t55))) % 28.31/28.51 (define @t114 () (@var "BOUND_VARIABLE_8821" $$unsorted)) % 28.31/28.51 (define @t115 () (not (tptp.aElementOf0 @t114 @t56))) % 28.31/28.51 (define @t116 () (tptp.sdtpldt0 @t114 @t112)) % 28.31/28.51 (define @t117 () (not (tptp.iLess0 @t48 (tptp.sbrdtbr0 @t116)))) % 28.31/28.51 (define @t118 () (= tptp.sz00 @t5)) % 28.31/28.51 (define @t119 () (not @t64)) % 28.31/28.51 (define @t120 () (@var "BOUND_VARIABLE_8729" $$unsorted)) % 28.31/28.51 (define @t121 () (@var "BOUND_VARIABLE_8727" $$unsorted)) % 28.31/28.51 (define @t122 () (or (not (tptp.aElementOf0 @t121 @t56)) (not (tptp.aElementOf0 @t120 @t55)) (not (= @t5 (tptp.sdtpldt0 @t121 @t120))))) % 28.31/28.51 (define @t123 () (and @t122 @t119)) % 28.31/28.51 (define @t124 () (or @t123 @t118 @t117)) % 28.31/28.51 (define @t125 () (@list @t5 @t121 @t120)) % 28.31/28.51 (define @t126 () (forall @t125 @t124)) % 28.31/28.51 (define @t127 () (not @t126)) % 28.31/28.51 (define @t128 () (@var "BOUND_VARIABLE_8835" $$unsorted)) % 28.31/28.51 (define @t129 () (not (tptp.aElementOf0 @t128 @t55))) % 28.31/28.51 (define @t130 () (@var "BOUND_VARIABLE_8833" $$unsorted)) % 28.31/28.51 (define @t131 () (not (tptp.aElementOf0 @t130 @t56))) % 28.31/28.51 (define @t132 () (tptp.sdtpldt0 @t130 @t128)) % 28.31/28.51 (define @t133 () (not (tptp.iLess0 @t49 (tptp.sbrdtbr0 @t132)))) % 28.31/28.51 (define @t134 () (= tptp.sz00 @t29)) % 28.31/28.51 (define @t135 () (not @t91)) % 28.31/28.51 (define @t136 () (@var "BOUND_VARIABLE_8655" $$unsorted)) % 28.31/28.51 (define @t137 () (@var "BOUND_VARIABLE_8653" $$unsorted)) % 28.31/28.51 (define @t138 () (or (not (tptp.aElementOf0 @t137 @t56)) (not (tptp.aElementOf0 @t136 @t55)) (not (= @t29 (tptp.sdtpldt0 @t137 @t136))))) % 28.31/28.51 (define @t139 () (and @t138 @t135)) % 28.31/28.51 (define @t140 () (or @t139 @t134 @t133)) % 28.31/28.51 (define @t141 () (@list @t29 @t137 @t136)) % 28.31/28.51 (define @t142 () (forall @t141 @t140)) % 28.31/28.51 (define @t143 () (not @t142)) % 28.31/28.51 (define @t144 () (= tptp.sz00 @t132)) % 28.31/28.51 (define @t145 () (tptp.aElementOf0 @t132 tptp.xI)) % 28.31/28.51 (define @t146 () (not @t145)) % 28.31/28.51 (define @t147 () (or @t146 @t144 @t143 @t131 @t129)) % 28.31/28.51 (define @t148 () (and @t147 @t127)) % 28.31/28.51 (define @t149 () (= tptp.sz00 @t116)) % 28.31/28.51 (define @t150 () (tptp.aElementOf0 @t116 tptp.xI)) % 28.31/28.51 (define @t151 () (not @t150)) % 28.31/28.51 (define @t152 () (or @t151 @t149 @t148 @t115 @t113)) % 28.31/28.51 (define @t153 () (@list @t114 @t112 @t130 @t128)) % 28.31/28.51 (define @t154 () (forall @t153 @t152)) % 28.31/28.51 (define @t155 () (@var "BOUND_VARIABLE_8753" $$unsorted)) % 28.31/28.51 (define @t156 () (not (tptp.aElementOf0 @t155 @t55))) % 28.31/28.51 (define @t157 () (@var "BOUND_VARIABLE_8751" $$unsorted)) % 28.31/28.51 (define @t158 () (not (tptp.aElementOf0 @t157 @t56))) % 28.31/28.51 (define @t159 () (tptp.sdtpldt0 @t157 @t155)) % 28.31/28.51 (define @t160 () (tptp.sbrdtbr0 @t159)) % 28.31/28.51 (define @t161 () (not (tptp.iLess0 @t160 @t48))) % 28.31/28.51 (define @t162 () (= tptp.sz00 @t159)) % 28.31/28.51 (define @t163 () (tptp.aElementOf0 @t159 tptp.xI)) % 28.31/28.51 (define @t164 () (not @t163)) % 28.31/28.51 (define @t165 () (or @t164 @t162 @t161 @t158 @t156)) % 28.31/28.51 (define @t166 () (@list @t157 @t155)) % 28.31/28.51 (define @t167 () (forall @t166 @t165)) % 28.31/28.51 (define @t168 () (not @t167)) % 28.31/28.51 (define @t169 () (@var "BOUND_VARIABLE_8792" $$unsorted)) % 28.31/28.51 (define @t170 () (@var "BOUND_VARIABLE_8790" $$unsorted)) % 28.31/28.51 (define @t171 () (or (not (tptp.aElementOf0 @t170 @t56)) (not (tptp.aElementOf0 @t169 @t55)) (not (= @t5 (tptp.sdtpldt0 @t170 @t169))))) % 28.31/28.51 (define @t172 () (and @t171 @t119)) % 28.31/28.51 (define @t173 () (or @t172 @t118 @t168)) % 28.31/28.51 (define @t174 () (forall (@list @t5 @t170 @t169) @t173)) % 28.31/28.51 (define @t175 () (not @t174)) % 28.31/28.51 (define @t176 () (or @t175 @t154)) % 28.31/28.51 (define @t177 () (not (= @t116 @t116))) % 28.31/28.51 (define @t178 () (or @t151 (= @t116 tptp.sz00) @t148 @t115 @t113 @t177)) % 28.31/28.51 (define @t179 () (not (= @t1 @t116))) % 28.31/28.51 (define @t180 () (not @t102)) % 28.31/28.51 (define @t181 () (or @t123 @t118 @t180)) % 28.31/28.51 (define @t182 () (forall @t125 @t181)) % 28.31/28.51 (define @t183 () (not @t182)) % 28.31/28.51 (define @t184 () (and @t147 @t183)) % 28.31/28.51 (define @t185 () (not @t63)) % 28.31/28.51 (define @t186 () (or @t179 @t185 @t20 @t184 @t115 @t113 @t179)) % 28.31/28.51 (define @t187 () (or @t185 @t20 @t184 @t115 @t113 @t179)) % 28.31/28.51 (define @t188 () (forall @t3 @t187)) % 28.31/28.51 (define @t189 () (forall @t153 @t188)) % 28.31/28.51 (define @t190 () (forall (@list @t114 @t112 @t130 @t128 @t1) @t187)) % 28.31/28.51 (define @t191 () (@list @t1 @t114 @t112 @t130 @t128)) % 28.31/28.51 (define @t192 () (or @t115 @t113 @t179)) % 28.31/28.51 (define @t193 () (or @t192 @t185 @t20 @t184)) % 28.31/28.51 (define @t194 () (forall @t191 @t193)) % 28.31/28.51 (define @t195 () (forall @t153 @t193)) % 28.31/28.51 (define @t196 () (@list @t130 @t128)) % 28.31/28.51 (define @t197 () (forall @t196 @t183)) % 28.31/28.51 (define @t198 () (forall @t196 @t147)) % 28.31/28.51 (define @t199 () (@var "BOUND_VARIABLE_8680" $$unsorted)) % 28.31/28.51 (define @t200 () (@var "BOUND_VARIABLE_8678" $$unsorted)) % 28.31/28.51 (define @t201 () (@list @t200 @t199)) % 28.31/28.51 (define @t202 () (and @t198 @t197)) % 28.31/28.51 (define @t203 () (forall @t196 @t184)) % 28.31/28.51 (define @t204 () (forall (@list @t114 @t112) @t192)) % 28.31/28.51 (define @t205 () (or @t204 @t185 @t20 @t203)) % 28.31/28.51 (define @t206 () (not (tptp.aElementOf0 @t199 @t55))) % 28.31/28.51 (define @t207 () (not (tptp.aElementOf0 @t200 @t56))) % 28.31/28.51 (define @t208 () (tptp.sdtpldt0 @t200 @t199)) % 28.31/28.51 (define @t209 () (not (forall @t141 (or @t139 @t134 (not (tptp.iLess0 @t49 (tptp.sbrdtbr0 @t208))))))) % 28.31/28.51 (define @t210 () (= tptp.sz00 @t208)) % 28.31/28.51 (define @t211 () (not (tptp.aElementOf0 @t208 tptp.xI))) % 28.31/28.51 (define @t212 () (or @t211 @t210 @t209 @t207 @t206)) % 28.31/28.51 (define @t213 () (@list @t200 @t199)) % 28.31/28.51 (define @t214 () (forall @t213 @t212)) % 28.31/28.51 (define @t215 () (and @t214 @t183)) % 28.31/28.51 (define @t216 () (= @t1 @t12)) % 28.31/28.51 (define @t217 () (not @t216)) % 28.31/28.51 (define @t218 () (not @t58)) % 28.31/28.51 (define @t219 () (not @t59)) % 28.31/28.51 (define @t220 () (or @t219 @t218 @t217)) % 28.31/28.51 (define @t221 () (forall @t61 @t220)) % 28.31/28.51 (define @t222 () (or @t221 @t185 @t20 @t215)) % 28.31/28.51 (define @t223 () (forall @t3 @t222)) % 28.31/28.51 (define @t224 () (or @t175 @t223)) % 28.31/28.51 (define @t225 () (or @t175 @t222)) % 28.31/28.51 (define @t226 () (or @t221 @t185 @t20 @t215 @t175)) % 28.31/28.51 (define @t227 () (not @t214)) % 28.31/28.51 (define @t228 () (or @t227 @t182)) % 28.31/28.51 (define @t229 () (not @t47)) % 28.31/28.51 (define @t230 () (not @t221)) % 28.31/28.51 (define @t231 () (not @t230)) % 28.31/28.51 (define @t232 () (or @t231 @t185 @t229)) % 28.31/28.51 (define @t233 () (=> @t228 @t175)) % 28.31/28.51 (define @t234 () (and @t230 @t63 @t47)) % 28.31/28.51 (define @t235 () (@list @t170 @t169)) % 28.31/28.51 (define @t236 () (forall @t235 @t173)) % 28.31/28.51 (define @t237 () (forall @t235 @t119)) % 28.31/28.51 (define @t238 () (forall @t235 @t171)) % 28.31/28.51 (define @t239 () (@list @t11 @t29)) % 28.31/28.51 (define @t240 () (and @t238 @t237)) % 28.31/28.51 (define @t241 () (forall @t235 @t172)) % 28.31/28.51 (define @t242 () (or @t241 @t118 @t168)) % 28.31/28.51 (define @t243 () (= @t5 @t82)) % 28.31/28.51 (define @t244 () (not @t243)) % 28.31/28.51 (define @t245 () (not @t83)) % 28.31/28.51 (define @t246 () (not @t84)) % 28.31/28.51 (define @t247 () (or @t246 @t245 @t244)) % 28.31/28.51 (define @t248 () (forall @t44 @t247)) % 28.31/28.51 (define @t249 () (and @t248 @t119)) % 28.31/28.51 (define @t250 () (not @t248)) % 28.31/28.51 (define @t251 () (or @t250 @t64)) % 28.31/28.51 (define @t252 () (not @t251)) % 28.31/28.51 (define @t253 () (not @t118)) % 28.31/28.51 (define @t254 () (not @t253)) % 28.31/28.51 (define @t255 () (or @t252 @t254 @t168)) % 28.31/28.51 (define @t256 () (and @t251 @t253 @t167)) % 28.31/28.51 (define @t257 () (forall @t23 (not @t256))) % 28.31/28.51 (define @t258 () (not @t257)) % 28.31/28.51 (define @t259 () (not (= @t159 @t159))) % 28.31/28.51 (define @t260 () (or @t164 @t162 @t161 @t158 @t156 @t259)) % 28.31/28.51 (define @t261 () (not (= @t11 @t159))) % 28.31/28.51 (define @t262 () (= tptp.sz00 @t11)) % 28.31/28.51 (define @t263 () (not @t72)) % 28.31/28.51 (define @t264 () (or @t261 @t263 @t262 @t70 @t158 @t156 @t261)) % 28.31/28.51 (define @t265 () (or @t263 @t262 @t70 @t158 @t156 @t261)) % 28.31/28.51 (define @t266 () (forall @t26 @t265)) % 28.31/28.51 (define @t267 () (forall @t166 @t266)) % 28.31/28.51 (define @t268 () (forall (@list @t157 @t155 @t11) @t265)) % 28.31/28.51 (define @t269 () (@list @t11 @t157 @t155)) % 28.31/28.51 (define @t270 () (or @t158 @t156 @t261)) % 28.31/28.51 (define @t271 () (or @t270 @t263 @t262 @t70)) % 28.31/28.51 (define @t272 () (forall @t269 @t271)) % 28.31/28.51 (define @t273 () (forall @t166 @t271)) % 28.31/28.51 (define @t274 () (forall @t166 @t270)) % 28.31/28.51 (define @t275 () (@list @t29 @t31)) % 28.31/28.51 (define @t276 () (or @t274 @t263 @t262 @t70)) % 28.31/28.51 (define @t277 () (= @t11 @t73)) % 28.31/28.51 (define @t278 () (not @t277)) % 28.31/28.51 (define @t279 () (not @t74)) % 28.31/28.51 (define @t280 () (not @t75)) % 28.31/28.51 (define @t281 () (or @t280 @t279 @t278)) % 28.31/28.51 (define @t282 () (forall @t77 @t281)) % 28.31/28.51 (define @t283 () (or @t282 @t263 @t262 @t70)) % 28.31/28.51 (define @t284 () (not @t262)) % 28.31/28.51 (define @t285 () (not @t284)) % 28.31/28.51 (define @t286 () (not @t282)) % 28.31/28.51 (define @t287 () (not @t286)) % 28.31/28.51 (define @t288 () (or @t287 @t263 @t285)) % 28.31/28.51 (define @t289 () (and @t286 @t72 @t284)) % 28.31/28.51 (define @t290 () (and @t75 @t74 @t277)) % 28.31/28.51 (define @t291 () (forall @t77 (not @t290))) % 28.31/28.51 (define @t292 () (not @t291)) % 28.31/28.51 (define @t293 () (and @t84 @t83 @t243)) % 28.31/28.51 (define @t294 () (forall @t44 (not @t293))) % 28.31/28.51 (define @t295 () (not @t294)) % 28.31/28.51 (define @t296 () (@list @t121 @t120)) % 28.31/28.51 (define @t297 () (forall @t296 @t181)) % 28.31/28.51 (define @t298 () (forall @t296 @t119)) % 28.31/28.51 (define @t299 () (forall @t296 @t122)) % 28.31/28.51 (define @t300 () (and @t299 @t298)) % 28.31/28.51 (define @t301 () (forall @t296 @t123)) % 28.31/28.51 (define @t302 () (or @t301 @t118 @t180)) % 28.31/28.51 (define @t303 () (or @t249 @t118 @t180)) % 28.31/28.51 (define @t304 () (forall @t23 @t303)) % 28.31/28.51 (define @t305 () (or @t227 @t304)) % 28.31/28.51 (define @t306 () (or @t227 @t303)) % 28.31/28.51 (define @t307 () (or @t249 @t118 @t180 @t227)) % 28.31/28.51 (define @t308 () (=> @t102 @t227)) % 28.31/28.51 (define @t309 () (and @t251 @t253)) % 28.31/28.51 (define @t310 () (not (= @t208 @t208))) % 28.31/28.51 (define @t311 () (or @t211 @t210 @t209 @t207 @t206 @t310)) % 28.31/28.51 (define @t312 () (not (= @t11 @t208))) % 28.31/28.51 (define @t313 () (or @t139 @t134 @t90)) % 28.31/28.51 (define @t314 () (forall @t141 @t313)) % 28.31/28.51 (define @t315 () (not @t314)) % 28.31/28.51 (define @t316 () (or @t312 @t263 @t262 @t315 @t207 @t206 @t312)) % 28.31/28.51 (define @t317 () (or @t263 @t262 @t315 @t207 @t206 @t312)) % 28.31/28.51 (define @t318 () (forall @t26 @t317)) % 28.31/28.51 (define @t319 () (forall @t213 @t318)) % 28.31/28.51 (define @t320 () (forall (@list @t200 @t199 @t11) @t317)) % 28.31/28.51 (define @t321 () (@list @t11 @t200 @t199)) % 28.31/28.51 (define @t322 () (or @t207 @t206 @t312)) % 28.31/28.51 (define @t323 () (or @t322 @t263 @t262 @t315)) % 28.31/28.51 (define @t324 () (forall @t321 @t323)) % 28.31/28.51 (define @t325 () (forall @t213 @t323)) % 28.31/28.51 (define @t326 () (forall @t213 @t322)) % 28.31/28.51 (define @t327 () (or @t326 @t263 @t262 @t315)) % 28.31/28.51 (define @t328 () (or @t287 @t263 @t285 @t315)) % 28.31/28.51 (define @t329 () (and @t286 @t72 @t284 @t314)) % 28.31/28.51 (define @t330 () (forall @t26 (not @t329))) % 28.31/28.51 (define @t331 () (not @t330)) % 28.31/28.51 (define @t332 () (@list @t137 @t136)) % 28.31/28.51 (define @t333 () (forall @t332 @t313)) % 28.31/28.51 (define @t334 () (forall @t332 @t135)) % 28.31/28.51 (define @t335 () (forall @t332 @t138)) % 28.31/28.51 (define @t336 () (and @t335 @t334)) % 28.31/28.51 (define @t337 () (forall @t332 @t139)) % 28.31/28.51 (define @t338 () (or @t337 @t134 @t90)) % 28.31/28.51 (define @t339 () (= @t29 @t32)) % 28.31/28.51 (define @t340 () (not @t339)) % 28.31/28.51 (define @t341 () (not @t92)) % 28.31/28.51 (define @t342 () (not @t93)) % 28.31/28.51 (define @t343 () (or @t342 @t341 @t340)) % 28.31/28.51 (define @t344 () (forall @t34 @t343)) % 28.31/28.51 (define @t345 () (and @t344 @t135)) % 28.31/28.51 (define @t346 () (or @t345 @t134 @t90)) % 28.31/28.51 (define @t347 () (not @t344)) % 28.31/28.51 (define @t348 () (or @t347 @t91)) % 28.31/28.51 (define @t349 () (not @t348)) % 28.31/28.51 (define @t350 () (not @t134)) % 28.31/28.51 (define @t351 () (and @t348 @t350)) % 28.31/28.51 (define @t352 () (and @t93 @t92 @t339)) % 28.31/28.51 (define @t353 () (forall @t34 (not @t352))) % 28.31/28.51 (define @t354 () (not @t353)) % 28.31/28.51 (define @t355 () (and @t59 @t58 @t216)) % 28.31/28.51 (define @t356 () (forall @t61 (not @t355))) % 28.31/28.51 (define @t357 () (not @t356)) % 28.31/28.51 (define @t358 () (and @t122 (not (tptp.aElementOf0 @t5 @t57)))) % 28.31/28.51 (define @t359 () (and @t138 (not (tptp.aElementOf0 @t29 @t57)))) % 28.31/28.51 (define @t360 () (forall @t153 (or (not (tptp.aElementOf0 @t116 @t57)) @t149 (and (or (not (tptp.aElementOf0 @t132 @t57)) @t144 (not (forall @t141 (or @t359 @t134 @t133))) @t131 @t129) (not (forall @t125 (or @t358 @t118 @t117)))) @t115 @t113))) % 28.31/28.51 (define @t361 () (@quantifiers_skolemize @t360 3)) % 28.31/28.51 (define @t362 () (@quantifiers_skolemize @t360 2)) % 28.31/28.51 (define @t363 () (tptp.sdtpldt0 @t362 @t361)) % 28.31/28.51 (define @t364 () (@quantifiers_skolemize @t360 1)) % 28.31/28.51 (define @t365 () (@quantifiers_skolemize @t360 0)) % 28.31/28.51 (define @t366 () (tptp.sdtpldt0 @t365 @t364)) % 28.31/28.51 (define @t367 () (tptp.sbrdtbr0 @t366)) % 28.31/28.51 (define @t368 () (forall @t125 (or @t358 @t118 (not (tptp.iLess0 @t48 @t367))))) % 28.31/28.51 (define @t369 () (not @t368)) % 28.31/28.51 (define @t370 () (tptp.sbrdtbr0 @t363)) % 28.31/28.51 (define @t371 () (forall @t141 (or @t359 @t134 (not (tptp.iLess0 @t49 @t370))))) % 28.31/28.51 (define @t372 () (not @t371)) % 28.31/28.51 (define @t373 () (= tptp.sz00 @t363)) % 28.31/28.51 (define @t374 () (tptp.aElementOf0 @t363 @t57)) % 28.31/28.51 (define @t375 () (not @t374)) % 28.31/28.51 (define @t376 () (or @t375 @t373 @t372 (not (tptp.aElementOf0 @t362 @t56)) (not (tptp.aElementOf0 @t361 @t55)))) % 28.31/28.51 (define @t377 () (and @t376 @t369)) % 28.31/28.51 (define @t378 () (= tptp.sz00 @t366)) % 28.31/28.51 (define @t379 () (tptp.aElementOf0 @t366 @t57)) % 28.31/28.51 (define @t380 () (not @t379)) % 28.31/28.51 (define @t381 () (or @t380 @t378 @t377 (not (tptp.aElementOf0 @t365 @t56)) (not (tptp.aElementOf0 @t364 @t55)))) % 28.31/28.51 (define @t382 () (@list true)) % 28.31/28.51 (define @t383 () (@list @t381)) % 28.31/28.51 (define @t384 () (tptp.sdtpldt0 tptp.sz00 tptp.sz00)) % 28.31/28.51 (define @t385 () (not @t66)) % 28.31/28.51 (define @t386 () (not @t68)) % 28.31/28.51 (define @t387 () (and (or @t386 @t385 (not (= @t366 @t384))) @t380)) % 28.31/28.51 (define @t388 () (not @t387)) % 28.31/28.51 (define @t389 () (@list false)) % 28.31/28.51 (define @t390 () (not (tptp.aElementOf0 @t159 @t57))) % 28.31/28.51 (define @t391 () (forall @t166 (or @t390 @t162 (not (tptp.iLess0 @t160 @t367)) @t158 @t156))) % 28.31/28.51 (define @t392 () (not @t391)) % 28.31/28.51 (define @t393 () (or @t387 @t378 @t392)) % 28.31/28.51 (define @t394 () (@list true true false)) % 28.31/28.51 (define @t395 () (@quantifiers_skolemize @t391 1)) % 28.31/28.51 (define @t396 () (@quantifiers_skolemize @t391 0)) % 28.31/28.51 (define @t397 () (tptp.sdtpldt0 @t396 @t395)) % 28.31/28.51 (define @t398 () (tptp.aElementOf0 @t397 @t57)) % 28.31/28.51 (define @t399 () (tptp.iLess0 (tptp.sbrdtbr0 @t397) @t367)) % 28.31/28.51 (define @t400 () (not @t399)) % 28.31/28.51 (define @t401 () (= tptp.sz00 @t397)) % 28.31/28.51 (define @t402 () (not @t398)) % 28.31/28.51 (define @t403 () (or @t402 @t401 @t400 (not (tptp.aElementOf0 @t396 @t56)) (not (tptp.aElementOf0 @t395 @t55)))) % 28.31/28.51 (define @t404 () (@list @t403)) % 28.31/28.51 (define @t405 () (and (or @t386 @t385 (not (= @t384 @t397))) @t402)) % 28.31/28.51 (define @t406 () (not @t405)) % 28.31/28.51 (define @t407 () (or @t405 @t401 @t400)) % 28.31/28.51 (define @t408 () (not @t407)) % 28.31/28.51 (define @t409 () (not (= @t397 @t384))) % 28.31/28.51 (define @t410 () (or @t386 @t385 @t409)) % 28.31/28.51 (define @t411 () (and @t410 @t402)) % 28.31/28.51 (define @t412 () (or @t411 @t401 @t400)) % 28.31/28.51 (define @t413 () (not @t376)) % 28.31/28.51 (define @t414 () (@list @t376)) % 28.31/28.51 (define @t415 () (and (or @t386 @t385 (not (= @t363 @t384))) @t375)) % 28.31/28.51 (define @t416 () (not @t415)) % 28.31/28.51 (define @t417 () (forall @t166 (or @t390 @t162 (not (tptp.iLess0 @t160 @t370)) @t158 @t156))) % 28.31/28.51 (define @t418 () (not @t417)) % 28.31/28.51 (define @t419 () (or @t415 @t373 @t418)) % 28.31/28.51 (define @t420 () (@quantifiers_skolemize @t417 1)) % 28.31/28.51 (define @t421 () (@quantifiers_skolemize @t417 0)) % 28.31/28.51 (define @t422 () (tptp.sdtpldt0 @t421 @t420)) % 28.31/28.51 (define @t423 () (tptp.iLess0 (tptp.sbrdtbr0 @t422) @t370)) % 28.31/28.51 (define @t424 () (not @t423)) % 28.31/28.51 (define @t425 () (= tptp.sz00 @t422)) % 28.31/28.51 (define @t426 () (tptp.aElementOf0 @t422 @t57)) % 28.31/28.51 (define @t427 () (not @t426)) % 28.31/28.51 (define @t428 () (or @t427 @t425 @t424 (not (tptp.aElementOf0 @t421 @t56)) (not (tptp.aElementOf0 @t420 @t55)))) % 28.31/28.51 (define @t429 () (not @t428)) % 28.31/28.51 (define @t430 () (@list @t428)) % 28.31/28.51 (define @t431 () (not (= @t422 @t384))) % 28.31/28.51 (define @t432 () (or @t386 @t385 @t431)) % 28.31/28.51 (define @t433 () (and @t432 @t427)) % 28.31/28.51 (define @t434 () (or @t433 @t425 @t424)) % 28.31/28.51 (define @t435 () (and (or @t386 @t385 (not (= @t384 @t422))) @t427)) % 28.31/28.51 (define @t436 () (or @t435 @t425 @t424)) % 28.31/28.51 (define @t437 () (not @t435)) % 28.31/28.51 (assume @p1 (forall @t3 (=> @t2 true))) % 28.31/28.51 (assume @p2 (tptp.aElement0 tptp.sz00)) % 28.31/28.51 (assume @p3 (tptp.aElement0 tptp.sz10)) % 28.31/28.51 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t4)))) % 28.31/28.51 (assume @p5 (forall @t9 (=> @t8 (tptp.aElement0 @t6)))) % 28.31/28.51 (assume @p6 (forall @t9 (=> @t8 (tptp.aElement0 @t10)))) % 28.31/28.51 (assume @p7 (forall @t9 (=> @t8 (= @t6 (tptp.sdtpldt0 @t5 @t1))))) % 28.31/28.51 (assume @p8 (forall @t15 (=> @t14 (= (tptp.sdtpldt0 @t6 @t11) (tptp.sdtpldt0 @t1 @t12))))) % 28.31/28.51 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 28.31/28.51 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 28.31/28.51 (assume @p11 (forall @t9 (=> @t8 (= @t10 @t16)))) % 28.31/28.51 (assume @p12 (forall @t15 (=> @t14 (= (tptp.sdtasdt0 @t10 @t11) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t11)))))) % 28.31/28.51 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 28.31/28.51 (assume @p14 (forall @t15 (=> @t14 (and (= (tptp.sdtasdt0 @t1 @t12) (tptp.sdtpldt0 @t10 @t17)) (= (tptp.sdtasdt0 @t12 @t1) (tptp.sdtpldt0 @t16 (tptp.sdtasdt0 @t11 @t1))))))) % 28.31/28.51 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t18 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t18)))))) % 28.31/28.51 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 28.31/28.51 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t20 @t19))))) % 28.31/28.51 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 28.31/28.51 (assume @p19 (forall @t3 (=> @t21 true))) % 28.31/28.51 (assume @p20 (forall @t3 (=> @t21 (forall @t23 (=> @t22 @t7))))) % 28.31/28.51 (assume @p21 (forall @t9 (=> @t28 (=> (and (forall @t26 (=> @t24 @t25)) (forall @t26 (=> @t25 @t24))) (= @t1 @t5))))) % 28.31/28.51 (assume @p22 (forall @t9 (=> @t28 (forall @t26 (= (= @t11 @t38) (and @t37 (forall @t36 (= @t35 (exists @t34 (and (tptp.aElementOf0 @t31 @t1) (tptp.aElementOf0 @t30 @t5) @t33)))))))))) % 28.31/28.51 (assume @p23 (forall @t9 (=> @t28 (forall @t26 (= (= @t11 @t39) (and @t37 (forall @t36 (= @t35 (and (tptp.aElementOf0 @t29 @t1) (tptp.aElementOf0 @t29 @t5)))))))))) % 28.31/28.51 (assume @p24 (forall @t3 (= @t41 (and @t21 (forall @t23 (=> @t22 (and (forall @t26 (=> @t24 (tptp.aElementOf0 @t12 @t1))) (forall @t26 (=> @t13 (tptp.aElementOf0 @t40 @t1)))))))))) % 28.31/28.51 (assume @p25 (forall @t9 (=> @t42 (tptp.aIdeal0 @t38)))) % 28.31/28.51 (assume @p26 (forall @t9 (=> @t42 (tptp.aIdeal0 @t39)))) % 28.31/28.51 (assume @p27 (forall @t15 (=> (and @t2 @t7 (tptp.aIdeal0 @t11)) (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t5 @t11) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t5)) @t11))))) % 28.31/28.51 (assume @p28 (forall @t9 (=> @t42 (=> (forall @t26 (=> @t13 (tptp.aElementOf0 @t11 @t38))) (forall @t44 (=> (and @t13 @t43) (exists (@list @t31) (and (tptp.aElement0 @t31) (tptp.sdteqdtlpzmzozddtrp0 @t31 @t11 @t1) (tptp.sdteqdtlpzmzozddtrp0 @t31 @t29 @t5))))))))) % 28.31/28.51 (assume @p29 (forall @t3 (=> @t45 true))) % 28.31/28.51 (assume @p30 (forall @t3 (=> (and @t2 @t47) (tptp.aNaturalNumber0 @t46)))) % 28.31/28.51 (assume @p31 (forall @t9 (=> (and @t45 (tptp.aNaturalNumber0 @t5)) (=> (tptp.iLess0 @t1 @t5) true)))) % 28.31/28.51 (assume @p32 (forall @t9 (=> (and @t2 @t7 @t51) (exists @t44 (and @t13 @t43 (= @t1 (tptp.sdtpldt0 @t40 @t29)) (=> @t50 (tptp.iLess0 @t49 @t48))))))) % 28.31/28.51 (assume @p33 (forall @t9 (=> @t8 (= (tptp.doDivides0 @t1 @t5) (exists @t26 (and @t13 (= @t17 @t5))))))) % 28.31/28.51 (assume @p34 (forall @t3 (=> @t2 (forall @t23 (= (tptp.aDivisorOf0 @t5 @t1) (and @t7 (tptp.doDivides0 @t5 @t1))))))) % 28.31/28.51 (assume @p35 (forall @t9 (=> @t8 (forall @t26 (= (tptp.aGcdOfAnd0 @t11 @t1 @t5) (and (tptp.aDivisorOf0 @t11 @t1) (tptp.aDivisorOf0 @t11 @t5) (forall @t36 (=> (and (tptp.aDivisorOf0 @t29 @t1) (tptp.aDivisorOf0 @t29 @t5)) (tptp.doDivides0 @t29 @t11))))))))) % 28.31/28.51 (assume @p36 (forall @t9 (=> @t8 (= (tptp.misRelativelyPrime0 @t1 @t5) (tptp.aGcdOfAnd0 tptp.sz10 @t1 @t5))))) % 28.31/28.51 (assume @p37 (forall @t3 (=> @t2 (forall @t23 (= (= @t5 @t52) (and @t27 (forall @t26 (= @t25 (exists @t36 (and @t43 (= (tptp.sdtasdt0 @t1 @t29) @t11))))))))))) % 28.31/28.51 (assume @p38 (forall @t3 (=> @t2 (tptp.aIdeal0 @t52)))) % 28.31/28.51 (assume @p39 (and (tptp.aElement0 tptp.xa) (tptp.aElement0 tptp.xb))) % 28.31/28.51 (assume @p40 (or (not (= tptp.xa tptp.sz00)) (not (= tptp.xb tptp.sz00)))) % 28.31/28.51 (assume @p41 (and @t54 (exists @t3 (and @t2 (= @t53 tptp.xa))) (tptp.doDivides0 tptp.xc tptp.xa) (tptp.aDivisorOf0 tptp.xc tptp.xa) @t54 (exists @t3 (and @t2 (= @t53 tptp.xb))) (tptp.doDivides0 tptp.xc tptp.xb) (tptp.aDivisorOf0 tptp.xc tptp.xb) (forall @t3 (=> (and (or (and @t2 (or (exists @t23 (and @t7 (= @t10 tptp.xa))) (tptp.doDivides0 @t1 tptp.xa))) (tptp.aDivisorOf0 @t1 tptp.xa)) (or (exists @t23 (and @t7 (= @t10 tptp.xb))) (tptp.doDivides0 @t1 tptp.xb) (tptp.aDivisorOf0 @t1 tptp.xb))) (and (exists @t23 (and @t7 (= @t10 tptp.xc))) (tptp.doDivides0 @t1 tptp.xc)))) (tptp.aGcdOfAnd0 tptp.xc tptp.xa tptp.xb))) % 28.31/28.51 (assume @p42 (and (tptp.aSet0 tptp.xI) (forall @t3 (=> @t63 (and (forall @t23 (=> @t64 (tptp.aElementOf0 @t6 tptp.xI))) (forall @t23 (=> @t7 (tptp.aElementOf0 @t16 tptp.xI)))))) (tptp.aIdeal0 tptp.xI) (forall @t3 (= (tptp.aElementOf0 @t1 @t56) (exists @t23 (and @t7 (= (tptp.sdtasdt0 tptp.xa @t5) @t1))))) (forall @t3 (= (tptp.aElementOf0 @t1 @t55) (exists @t23 (and @t7 (= (tptp.sdtasdt0 tptp.xb @t5) @t1))))) (forall @t3 (= @t63 @t62)) (= tptp.xI @t57))) % 28.31/28.51 (assume @p43 (and (exists @t3 (and @t2 (= @t67 tptp.sz00))) @t68 (exists @t3 (and @t2 (= @t67 tptp.xa))) (tptp.aElementOf0 tptp.xa @t56) (exists @t3 (and @t2 (= @t65 tptp.sz00))) @t66 (exists @t3 (and @t2 (= @t65 tptp.xb))) (tptp.aElementOf0 tptp.xb @t55))) % 28.31/28.51 (assume @p44 (exists @t3 (and (forall @t23 (= @t59 (exists @t26 (and @t13 (= (tptp.sdtasdt0 tptp.xa @t11) @t5))))) (forall @t23 (= (tptp.aElementOf0 @t5 @t55) (exists @t26 (and @t13 (= (tptp.sdtasdt0 tptp.xb @t11) @t5))))) @t62 (tptp.aElementOf0 @t1 @t57) @t47))) % 28.31/28.51 (assume @p45 @t111) % 28.31/28.51 (assume @p46 true) % 28.31/28.51 (step @p47 :rule refl :args (@t113)) % 28.31/28.51 (step @p48 :rule refl :args (@t115)) % 28.31/28.51 (step @p49 :rule refl :args (@t117)) % 28.31/28.51 (step @p50 :rule refl :args (@t118)) % 28.31/28.51 (step @p51 :rule and_elim :premises (@p42) :args (6)) % 28.31/28.51 (step @p52 :rule refl :args (@t5)) % 28.31/28.51 (step @p53 :rule cong :premises (@p52 @p51) :args (@t64)) % 28.31/28.51 (step @p54 :rule cong :premises (@p53) :args (@t119)) % 28.31/28.51 (step @p55 :rule refl :args (@t122)) % 28.31/28.51 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t123)) % 28.31/28.51 (step @p57 :rule nary_cong :premises (@p56 @p50 @p49) :args (@t124)) % 28.31/28.51 (step @p58 :rule cong :premises (@p57) :args (@t126)) % 28.31/28.51 (step @p59 :rule cong :premises (@p58) :args (@t127)) % 28.31/28.51 (step @p60 :rule refl :args (@t129)) % 28.31/28.51 (step @p61 :rule refl :args (@t131)) % 28.31/28.51 (step @p62 :rule refl :args (@t133)) % 28.31/28.51 (step @p63 :rule refl :args (@t134)) % 28.31/28.51 (step @p64 :rule refl :args (@t29)) % 28.31/28.51 (step @p65 :rule cong :premises (@p64 @p51) :args (@t91)) % 28.31/28.51 (step @p66 :rule cong :premises (@p65) :args (@t135)) % 28.31/28.51 (step @p67 :rule refl :args (@t138)) % 28.31/28.51 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t139)) % 28.31/28.51 (step @p69 :rule nary_cong :premises (@p68 @p63 @p62) :args (@t140)) % 28.31/28.51 (step @p70 :rule cong :premises (@p69) :args (@t142)) % 28.31/28.51 (step @p71 :rule cong :premises (@p70) :args (@t143)) % 28.31/28.51 (step @p72 :rule refl :args (@t144)) % 28.31/28.51 (step @p73 :rule refl :args (@t132)) % 28.31/28.51 (step @p74 :rule cong :premises (@p73 @p51) :args (@t145)) % 28.31/28.51 (step @p75 :rule cong :premises (@p74) :args (@t146)) % 28.31/28.51 (step @p76 :rule nary_cong :premises (@p75 @p72 @p71 @p61 @p60) :args (@t147)) % 28.31/28.51 (step @p77 :rule nary_cong :premises (@p76 @p59) :args (@t148)) % 28.31/28.51 (step @p78 :rule refl :args (@t149)) % 28.31/28.51 (step @p79 :rule refl :args (@t116)) % 28.31/28.51 (step @p80 :rule cong :premises (@p79 @p51) :args (@t150)) % 28.31/28.51 (step @p81 :rule cong :premises (@p80) :args (@t151)) % 28.31/28.51 (step @p82 :rule nary_cong :premises (@p81 @p78 @p77 @p48 @p47) :args (@t152)) % 28.31/28.51 (step @p83 :rule cong :premises (@p82) :args (@t154)) % 28.31/28.51 (step @p84 :rule refl :args (@t156)) % 28.31/28.51 (step @p85 :rule refl :args (@t158)) % 28.31/28.51 (step @p86 :rule refl :args (@t161)) % 28.31/28.51 (step @p87 :rule refl :args (@t162)) % 28.31/28.51 (step @p88 :rule refl :args (@t159)) % 28.31/28.51 (step @p89 :rule cong :premises (@p88 @p51) :args (@t163)) % 28.31/28.51 (step @p90 :rule cong :premises (@p89) :args (@t164)) % 28.31/28.51 (step @p91 :rule nary_cong :premises (@p90 @p87 @p86 @p85 @p84) :args (@t165)) % 28.31/28.51 (step @p92 :rule cong :premises (@p91) :args (@t167)) % 28.31/28.51 (step @p93 :rule cong :premises (@p92) :args (@t168)) % 28.31/28.51 (step @p94 :rule refl :args (@t171)) % 28.31/28.51 (step @p95 :rule nary_cong :premises (@p94 @p54) :args (@t172)) % 28.31/28.51 (step @p96 :rule nary_cong :premises (@p95 @p50 @p93) :args (@t173)) % 28.31/28.51 (step @p97 :rule cong :premises (@p96) :args (@t174)) % 28.31/28.51 (step @p98 :rule cong :premises (@p97) :args (@t175)) % 28.31/28.51 (step @p99 :rule nary_cong :premises (@p98 @p83) :args (@t176)) % 28.31/28.51 (step @p100 :rule cong :premises (@p99) :args ((not @t176))) % 28.31/28.51 (step @p101 :rule aci_norm :args ((= (or @t151 @t149 @t148 @t115 @t113 false) @t152))) % 28.31/28.51 (step @p102 :rule evaluate :args ((not true))) % 28.31/28.51 (step @p103 :rule eq-refl :args (@t116)) % 28.31/28.51 (step @p104 :rule cong :premises (@p103) :args (@t177)) % 28.31/28.51 (step @p105 :rule trans :premises (@p104 @p102)) % 28.31/28.51 (step @p106 :rule refl :args (@t148)) % 28.31/28.51 (step @p107 :rule eq-symm :args (@t116 tptp.sz00)) % 28.31/28.51 (step @p108 :rule refl :args (@t151)) % 28.31/28.51 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p48 @p47 @p105) :args (@t178)) % 28.31/28.51 (step @p110 :rule trans :premises (@p109 @p101)) % 28.31/28.51 (step @p111 :rule cong :premises (@p110) :args ((forall @t153 @t178))) % 28.31/28.51 (step @p112 :rule quant-var-elim-eq :args ((= (forall @t3 @t186) @t178))) % 28.31/28.51 (step @p113 :rule aci_norm :args ((= @t187 @t186))) % 28.31/28.51 (step @p114 :rule cong :premises (@p113) :args (@t188)) % 28.31/28.51 (step @p115 :rule trans :premises (@p114 @p112)) % 28.31/28.51 (step @p116 :rule cong :premises (@p115) :args (@t189)) % 28.31/28.51 (step @p117 :rule quant-merge-prenex :args ((= @t189 @t190))) % 28.31/28.51 (step @p118 :rule symm :premises (@p117)) % 28.31/28.51 (step @p119 :rule quant_var_reordering :args ((= (forall @t191 @t187) @t190))) % 28.31/28.51 (step @p120 :rule trans :premises (@p119 @p118 @p116)) % 28.31/28.51 (step @p121 :rule trans :premises (@p120 @p111)) % 28.31/28.51 (step @p122 :rule aci_norm :args ((= @t193 @t187))) % 28.31/28.51 (step @p123 :rule cong :premises (@p122) :args (@t194)) % 28.31/28.51 (step @p124 :rule trans :premises (@p123 @p121)) % 28.31/28.51 (step @p125 :rule quant-merge-prenex :args ((= (forall @t3 @t195) @t194))) % 28.31/28.51 (step @p126 :rule quant-unused-vars :args ((= @t197 @t183))) % 28.31/28.51 (step @p127 :rule alpha_equiv :args (@t198 (@list @t130 @t128) @t201)) % 28.31/28.51 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t202)) % 28.31/28.51 (step @p129 :rule quant-miniscope-and :args ((= @t203 @t202))) % 28.31/28.51 (step @p130 :rule trans :premises (@p129 @p128)) % 28.31/28.51 (step @p131 :rule refl :args (@t20)) % 28.31/28.51 (step @p132 :rule refl :args (@t185)) % 28.31/28.51 (step @p133 :rule alpha_equiv :args (@t204 (@list @t114 @t112) (@list @t5 @t11))) % 28.31/28.51 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131 @p130) :args (@t205)) % 28.31/28.51 (step @p135 :rule quant-miniscope-or :args ((= @t195 @t205))) % 28.31/28.51 (step @p136 :rule trans :premises (@p135 @p134)) % 28.31/28.51 (step @p137 :rule symm :premises (@p136)) % 28.31/28.51 (step @p138 :rule cong :premises (@p137) :args (@t223)) % 28.31/28.51 (step @p139 :rule trans :premises (@p138 @p125)) % 28.31/28.51 (step @p140 :rule trans :premises (@p139 @p124)) % 28.31/28.51 (step @p141 :rule refl :args (@t175)) % 28.31/28.51 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t224)) % 28.31/28.51 (step @p143 :rule quant-miniscope-or :args ((= (forall @t3 @t225) @t224))) % 28.31/28.51 (step @p144 :rule aci_norm :args ((= @t226 @t225))) % 28.31/28.51 (step @p145 :rule cong :premises (@p144) :args ((forall @t3 @t226))) % 28.31/28.51 (step @p146 :rule trans :premises (@p145 @p143)) % 28.31/28.51 (step @p147 :rule trans :premises (@p146 @p142)) % 28.31/28.51 (step @p148 :rule aci_norm :args ((= (or (or @t221 @t185 @t20) (or @t215 @t175)) @t226))) % 28.31/28.51 (step @p149 :rule refl :args (@t175)) % 28.31/28.51 (step @p150 :rule refl :args (@t183)) % 28.31/28.51 (step @p151 :rule bool-double-not-elim :args (@t214)) % 28.31/28.51 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((and (not @t227) @t183))) % 28.31/28.51 (step @p153 :rule bool-or-de-morgan :args (@t227 @t182 false)) % 28.31/28.51 (step @p154 :rule trans :premises (@p153 @p152)) % 28.31/28.51 (step @p155 :rule nary_cong :premises (@p154 @p149) :args ((or (not @t228) @t175))) % 28.31/28.51 (step @p156 :rule bool-impl-elim :args (@t228 @t175)) % 28.31/28.51 (step @p157 :rule trans :premises (@p156 @p155)) % 28.31/28.51 (step @p158 :rule bool-double-not-elim :args (@t20)) % 28.31/28.51 (step @p159 :rule bool-double-not-elim :args (@t221)) % 28.31/28.51 (step @p160 :rule nary_cong :premises (@p159 @p132 @p158) :args (@t232)) % 28.31/28.51 (step @p161 :rule aci_norm :args ((= (or @t231 (or @t185 @t229)) @t232))) % 28.31/28.51 (step @p162 :rule trans :premises (@p161 @p160)) % 28.31/28.51 (step @p163 :rule bool-and-de-morgan :args (@t63 @t47 true)) % 28.31/28.51 (step @p164 :rule refl :args (@t231)) % 28.31/28.51 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t231 (not (and @t63 @t47))))) % 28.31/28.51 (step @p166 :rule bool-and-de-morgan :args (@t230 @t63 (and @t47))) % 28.31/28.51 (step @p167 :rule trans :premises (@p166 @p165)) % 28.31/28.51 (step @p168 :rule trans :premises (@p167 @p162)) % 28.31/28.51 (step @p169 :rule nary_cong :premises (@p168 @p157) :args ((or (not @t234) @t233))) % 28.31/28.51 (step @p170 :rule trans :premises (@p169 @p148)) % 28.31/28.51 (step @p171 :rule bool-impl-elim :args (@t234 @t233)) % 28.31/28.51 (step @p172 :rule trans :premises (@p171 @p170)) % 28.31/28.51 (step @p173 :rule cong :premises (@p172) :args ((forall @t3 (=> @t234 @t233)))) % 28.31/28.51 (step @p174 :rule trans :premises (@p173 @p147)) % 28.31/28.51 (step @p175 :rule quant-merge-prenex :args ((= (forall @t23 @t236) @t174))) % 28.31/28.51 (step @p176 :rule refl :args (@t168)) % 28.31/28.51 (step @p177 :rule refl :args (@t118)) % 28.31/28.51 (step @p178 :rule quant-unused-vars :args ((= @t237 @t119))) % 28.31/28.51 (step @p179 :rule alpha_equiv :args (@t238 (@list @t170 @t169) @t239)) % 28.31/28.51 (step @p180 :rule nary_cong :premises (@p179 @p178) :args (@t240)) % 28.31/28.51 (step @p181 :rule quant-miniscope-and :args ((= @t241 @t240))) % 28.31/28.51 (step @p182 :rule trans :premises (@p181 @p180)) % 28.31/28.51 (step @p183 :rule nary_cong :premises (@p182 @p177 @p176) :args (@t242)) % 28.31/28.51 (step @p184 :rule quant-miniscope-or :args ((= @t236 @t242))) % 28.31/28.51 (step @p185 :rule trans :premises (@p184 @p183)) % 28.31/28.51 (step @p186 :rule symm :premises (@p185)) % 28.31/28.51 (step @p187 :rule cong :premises (@p186) :args ((forall @t23 (or @t249 @t118 @t168)))) % 28.31/28.51 (step @p188 :rule trans :premises (@p187 @p175)) % 28.31/28.51 (step @p189 :rule refl :args (@t119)) % 28.31/28.51 (step @p190 :rule bool-double-not-elim :args (@t248)) % 28.31/28.51 (step @p191 :rule nary_cong :premises (@p190 @p189) :args ((and (not @t250) @t119))) % 28.31/28.51 (step @p192 :rule bool-or-de-morgan :args (@t250 @t64 false)) % 28.31/28.51 (step @p193 :rule trans :premises (@p192 @p191)) % 28.31/28.51 (step @p194 :rule nary_cong :premises (@p193 @p177 @p176) :args ((or @t252 @t118 @t168))) % 28.31/28.51 (step @p195 :rule bool-double-not-elim :args (@t118)) % 28.31/28.51 (step @p196 :rule refl :args (@t252)) % 28.31/28.51 (step @p197 :rule nary_cong :premises (@p196 @p195 @p176) :args (@t255)) % 28.31/28.51 (step @p198 :rule aci_norm :args ((= (or @t252 (or @t254 @t168)) @t255))) % 28.31/28.51 (step @p199 :rule trans :premises (@p198 @p197)) % 28.31/28.51 (step @p200 :rule bool-and-de-morgan :args (@t253 @t167 true)) % 28.31/28.51 (step @p201 :rule nary_cong :premises (@p196 @p200) :args ((or @t252 (not (and @t253 @t167))))) % 28.31/28.51 (step @p202 :rule bool-and-de-morgan :args (@t251 @t253 (and @t167))) % 28.31/28.51 (step @p203 :rule trans :premises (@p202 @p201)) % 28.31/28.51 (step @p204 :rule trans :premises (@p203 @p199)) % 28.31/28.51 (step @p205 :rule trans :premises (@p204 @p194)) % 28.31/28.51 (step @p206 :rule cong :premises (@p205) :args (@t257)) % 28.31/28.51 (step @p207 :rule trans :premises (@p206 @p188)) % 28.31/28.51 (step @p208 :rule cong :premises (@p207) :args (@t258)) % 28.31/28.51 (step @p209 :rule exists-elim :args ((= (exists @t23 @t256) @t258))) % 28.31/28.51 (step @p210 :rule trans :premises (@p209 @p208)) % 28.31/28.51 (step @p211 :rule aci_norm :args ((= (or @t164 @t162 @t161 @t158 @t156 false) @t165))) % 28.31/28.51 (step @p212 :rule eq-refl :args (@t159)) % 28.31/28.51 (step @p213 :rule cong :premises (@p212) :args (@t259)) % 28.31/28.51 (step @p214 :rule trans :premises (@p213 @p102)) % 28.31/28.51 (step @p215 :rule refl :args (@t164)) % 28.31/28.51 (step @p216 :rule nary_cong :premises (@p215 @p87 @p86 @p85 @p84 @p214) :args (@t260)) % 28.31/28.51 (step @p217 :rule trans :premises (@p216 @p211)) % 28.31/28.51 (step @p218 :rule cong :premises (@p217) :args ((forall @t166 @t260))) % 28.31/28.51 (step @p219 :rule quant-var-elim-eq :args ((= (forall @t26 @t264) @t260))) % 28.31/28.51 (step @p220 :rule aci_norm :args ((= @t265 @t264))) % 28.31/28.51 (step @p221 :rule cong :premises (@p220) :args (@t266)) % 28.31/28.51 (step @p222 :rule trans :premises (@p221 @p219)) % 28.31/28.51 (step @p223 :rule cong :premises (@p222) :args (@t267)) % 28.31/28.51 (step @p224 :rule quant-merge-prenex :args ((= @t267 @t268))) % 28.31/28.51 (step @p225 :rule symm :premises (@p224)) % 28.31/28.51 (step @p226 :rule quant_var_reordering :args ((= (forall @t269 @t265) @t268))) % 28.31/28.51 (step @p227 :rule trans :premises (@p226 @p225 @p223)) % 28.31/28.51 (step @p228 :rule trans :premises (@p227 @p218)) % 28.31/28.51 (step @p229 :rule aci_norm :args ((= @t271 @t265))) % 28.31/28.51 (step @p230 :rule cong :premises (@p229) :args (@t272)) % 28.31/28.51 (step @p231 :rule trans :premises (@p230 @p228)) % 28.31/28.51 (step @p232 :rule quant-merge-prenex :args ((= (forall @t26 @t273) @t272))) % 28.31/28.51 (step @p233 :rule refl :args (@t70)) % 28.31/28.51 (step @p234 :rule refl :args (@t262)) % 28.31/28.51 (step @p235 :rule refl :args (@t263)) % 28.31/28.51 (step @p236 :rule alpha_equiv :args (@t274 (@list @t157 @t155) @t275)) % 28.31/28.51 (step @p237 :rule nary_cong :premises (@p236 @p235 @p234 @p233) :args (@t276)) % 28.31/28.51 (step @p238 :rule quant-miniscope-or :args ((= @t273 @t276))) % 28.31/28.51 (step @p239 :rule trans :premises (@p238 @p237)) % 28.31/28.51 (step @p240 :rule symm :premises (@p239)) % 28.31/28.51 (step @p241 :rule cong :premises (@p240) :args ((forall @t26 @t283))) % 28.31/28.51 (step @p242 :rule trans :premises (@p241 @p232)) % 28.31/28.51 (step @p243 :rule trans :premises (@p242 @p231)) % 28.31/28.51 (step @p244 :rule aci_norm :args ((= (or (or @t282 @t263 @t262) @t70) @t283))) % 28.31/28.51 (step @p245 :rule bool-double-not-elim :args (@t262)) % 28.31/28.51 (step @p246 :rule bool-double-not-elim :args (@t282)) % 28.31/28.51 (step @p247 :rule nary_cong :premises (@p246 @p235 @p245) :args (@t288)) % 28.31/28.51 (step @p248 :rule aci_norm :args ((= (or @t287 (or @t263 @t285)) @t288))) % 28.31/28.51 (step @p249 :rule trans :premises (@p248 @p247)) % 28.31/28.51 (step @p250 :rule bool-and-de-morgan :args (@t72 @t284 true)) % 28.31/28.51 (step @p251 :rule refl :args (@t287)) % 28.31/28.51 (step @p252 :rule nary_cong :premises (@p251 @p250) :args ((or @t287 (not (and @t72 @t284))))) % 28.31/28.51 (step @p253 :rule bool-and-de-morgan :args (@t286 @t72 (and @t284))) % 28.31/28.51 (step @p254 :rule trans :premises (@p253 @p252)) % 28.31/28.51 (step @p255 :rule trans :premises (@p254 @p249)) % 28.31/28.51 (step @p256 :rule nary_cong :premises (@p255 @p233) :args ((or (not @t289) @t70))) % 28.31/28.51 (step @p257 :rule trans :premises (@p256 @p244)) % 28.31/28.51 (step @p258 :rule bool-impl-elim :args (@t289 @t70)) % 28.31/28.51 (step @p259 :rule trans :premises (@p258 @p257)) % 28.31/28.51 (step @p260 :rule cong :premises (@p259) :args ((forall @t26 (=> @t289 @t70)))) % 28.31/28.51 (step @p261 :rule trans :premises (@p260 @p243)) % 28.31/28.51 (step @p262 :rule refl :args (@t70)) % 28.31/28.51 (step @p263 :rule eq-symm :args (@t11 tptp.sz00)) % 28.31/28.51 (step @p264 :rule cong :premises (@p263) :args (@t71)) % 28.31/28.51 (step @p265 :rule refl :args (@t72)) % 28.31/28.51 (step @p266 :rule aci_norm :args ((= (or @t280 (or @t279 @t278)) @t281))) % 28.31/28.51 (step @p267 :rule bool-and-de-morgan :args (@t74 @t277 true)) % 28.31/28.51 (step @p268 :rule refl :args (@t280)) % 28.31/28.51 (step @p269 :rule nary_cong :premises (@p268 @p267) :args ((or @t280 (not (and @t74 @t277))))) % 28.31/28.51 (step @p270 :rule bool-and-de-morgan :args (@t75 @t74 (and @t277))) % 28.31/28.51 (step @p271 :rule trans :premises (@p270 @p269)) % 28.31/28.51 (step @p272 :rule trans :premises (@p271 @p266)) % 28.31/28.51 (step @p273 :rule cong :premises (@p272) :args (@t291)) % 28.31/28.51 (step @p274 :rule cong :premises (@p273) :args (@t292)) % 28.31/28.51 (step @p275 :rule exists-elim :args ((= (exists @t77 @t290) @t292))) % 28.31/28.51 (step @p276 :rule trans :premises (@p275 @p274)) % 28.31/28.51 (step @p277 :rule eq-symm :args (@t73 @t11)) % 28.31/28.51 (step @p278 :rule refl :args (@t74)) % 28.31/28.51 (step @p279 :rule refl :args (@t75)) % 28.31/28.51 (step @p280 :rule nary_cong :premises (@p279 @p278 @p277) :args (@t76)) % 28.31/28.51 (step @p281 :rule cong :premises (@p280) :args (@t78)) % 28.31/28.51 (step @p282 :rule trans :premises (@p281 @p276)) % 28.31/28.51 (step @p283 :rule nary_cong :premises (@p282 @p265 @p264) :args (@t79)) % 28.31/28.51 (step @p284 :rule cong :premises (@p283 @p262) :args (@t80)) % 28.31/28.51 (step @p285 :rule cong :premises (@p284) :args (@t81)) % 28.31/28.51 (step @p286 :rule trans :premises (@p285 @p261)) % 28.31/28.51 (step @p287 :rule eq-symm :args (@t5 tptp.sz00)) % 28.31/28.51 (step @p288 :rule cong :premises (@p287) :args (@t51)) % 28.31/28.51 (step @p289 :rule refl :args (@t64)) % 28.31/28.51 (step @p290 :rule aci_norm :args ((= (or @t246 (or @t245 @t244)) @t247))) % 28.31/28.51 (step @p291 :rule bool-and-de-morgan :args (@t83 @t243 true)) % 28.31/28.51 (step @p292 :rule refl :args (@t246)) % 28.31/28.51 (step @p293 :rule nary_cong :premises (@p292 @p291) :args ((or @t246 (not (and @t83 @t243))))) % 28.31/28.51 (step @p294 :rule bool-and-de-morgan :args (@t84 @t83 (and @t243))) % 28.31/28.51 (step @p295 :rule trans :premises (@p294 @p293)) % 28.31/28.51 (step @p296 :rule trans :premises (@p295 @p290)) % 28.31/28.51 (step @p297 :rule cong :premises (@p296) :args (@t294)) % 28.31/28.51 (step @p298 :rule cong :premises (@p297) :args (@t295)) % 28.31/28.51 (step @p299 :rule exists-elim :args ((= (exists @t44 @t293) @t295))) % 28.31/28.51 (step @p300 :rule trans :premises (@p299 @p298)) % 28.31/28.51 (step @p301 :rule eq-symm :args (@t82 @t5)) % 28.31/28.51 (step @p302 :rule refl :args (@t83)) % 28.31/28.51 (step @p303 :rule refl :args (@t84)) % 28.31/28.51 (step @p304 :rule nary_cong :premises (@p303 @p302 @p301) :args (@t85)) % 28.31/28.51 (step @p305 :rule cong :premises (@p304) :args (@t86)) % 28.31/28.51 (step @p306 :rule trans :premises (@p305 @p300)) % 28.31/28.51 (step @p307 :rule nary_cong :premises (@p306 @p289) :args (@t87)) % 28.31/28.51 (step @p308 :rule nary_cong :premises (@p307 @p288 @p286) :args (@t88)) % 28.31/28.51 (step @p309 :rule cong :premises (@p308) :args (@t89)) % 28.31/28.51 (step @p310 :rule trans :premises (@p309 @p210)) % 28.31/28.51 (step @p311 :rule quant-merge-prenex :args ((= (forall @t23 @t297) @t182))) % 28.31/28.51 (step @p312 :rule refl :args (@t180)) % 28.31/28.51 (step @p313 :rule quant-unused-vars :args ((= @t298 @t119))) % 28.31/28.51 (step @p314 :rule alpha_equiv :args (@t299 (@list @t121 @t120) @t239)) % 28.31/28.51 (step @p315 :rule nary_cong :premises (@p314 @p313) :args (@t300)) % 28.31/28.51 (step @p316 :rule quant-miniscope-and :args ((= @t301 @t300))) % 28.31/28.51 (step @p317 :rule trans :premises (@p316 @p315)) % 28.31/28.51 (step @p318 :rule nary_cong :premises (@p317 @p177 @p312) :args (@t302)) % 28.31/28.51 (step @p319 :rule quant-miniscope-or :args ((= @t297 @t302))) % 28.31/28.51 (step @p320 :rule trans :premises (@p319 @p318)) % 28.31/28.51 (step @p321 :rule symm :premises (@p320)) % 28.31/28.51 (step @p322 :rule cong :premises (@p321) :args (@t304)) % 28.31/28.51 (step @p323 :rule trans :premises (@p322 @p311)) % 28.31/28.51 (step @p324 :rule refl :args (@t227)) % 28.31/28.51 (step @p325 :rule nary_cong :premises (@p324 @p323) :args (@t305)) % 28.31/28.51 (step @p326 :rule quant-miniscope-or :args ((= (forall @t23 @t306) @t305))) % 28.31/28.51 (step @p327 :rule aci_norm :args ((= @t307 @t306))) % 28.31/28.51 (step @p328 :rule cong :premises (@p327) :args ((forall @t23 @t307))) % 28.31/28.51 (step @p329 :rule trans :premises (@p328 @p326)) % 28.31/28.51 (step @p330 :rule trans :premises (@p329 @p325)) % 28.31/28.51 (step @p331 :rule aci_norm :args ((= (or (or @t249 @t118) (or @t180 @t227)) @t307))) % 28.31/28.51 (step @p332 :rule bool-impl-elim :args (@t102 @t227)) % 28.31/28.51 (step @p333 :rule nary_cong :premises (@p193 @p177) :args ((or @t252 @t118))) % 28.31/28.51 (step @p334 :rule nary_cong :premises (@p196 @p195) :args ((or @t252 @t254))) % 28.31/28.51 (step @p335 :rule bool-and-de-morgan :args (@t251 @t253 true)) % 28.31/28.51 (step @p336 :rule trans :premises (@p335 @p334)) % 28.31/28.51 (step @p337 :rule trans :premises (@p336 @p333)) % 28.31/28.51 (step @p338 :rule nary_cong :premises (@p337 @p332) :args ((or (not @t309) @t308))) % 28.31/28.51 (step @p339 :rule trans :premises (@p338 @p331)) % 28.31/28.51 (step @p340 :rule bool-impl-elim :args (@t309 @t308)) % 28.31/28.51 (step @p341 :rule trans :premises (@p340 @p339)) % 28.31/28.51 (step @p342 :rule cong :premises (@p341) :args ((forall @t23 (=> @t309 @t308)))) % 28.31/28.51 (step @p343 :rule trans :premises (@p342 @p330)) % 28.31/28.51 (step @p344 :rule aci_norm :args ((= (or @t211 @t210 @t209 @t207 @t206 false) @t212))) % 28.31/28.51 (step @p345 :rule eq-refl :args (@t208)) % 28.31/28.51 (step @p346 :rule cong :premises (@p345) :args (@t310)) % 28.31/28.51 (step @p347 :rule trans :premises (@p346 @p102)) % 28.31/28.51 (step @p348 :rule refl :args (@t206)) % 28.31/28.51 (step @p349 :rule refl :args (@t207)) % 28.31/28.51 (step @p350 :rule refl :args (@t209)) % 28.31/28.51 (step @p351 :rule refl :args (@t210)) % 28.31/28.51 (step @p352 :rule refl :args (@t211)) % 28.31/28.51 (step @p353 :rule nary_cong :premises (@p352 @p351 @p350 @p349 @p348 @p347) :args (@t311)) % 28.31/28.51 (step @p354 :rule trans :premises (@p353 @p344)) % 28.31/28.51 (step @p355 :rule cong :premises (@p354) :args ((forall @t213 @t311))) % 28.31/28.51 (step @p356 :rule quant-var-elim-eq :args ((= (forall @t26 @t316) @t311))) % 28.31/28.51 (step @p357 :rule aci_norm :args ((= @t317 @t316))) % 28.31/28.51 (step @p358 :rule cong :premises (@p357) :args (@t318)) % 28.31/28.51 (step @p359 :rule trans :premises (@p358 @p356)) % 28.31/28.51 (step @p360 :rule cong :premises (@p359) :args (@t319)) % 28.31/28.51 (step @p361 :rule quant-merge-prenex :args ((= @t319 @t320))) % 28.31/28.51 (step @p362 :rule symm :premises (@p361)) % 28.31/28.51 (step @p363 :rule quant_var_reordering :args ((= (forall @t321 @t317) @t320))) % 28.31/28.51 (step @p364 :rule trans :premises (@p363 @p362 @p360)) % 28.31/28.51 (step @p365 :rule trans :premises (@p364 @p355)) % 28.31/28.51 (step @p366 :rule aci_norm :args ((= @t323 @t317))) % 28.31/28.51 (step @p367 :rule cong :premises (@p366) :args (@t324)) % 28.31/28.51 (step @p368 :rule trans :premises (@p367 @p365)) % 28.31/28.51 (step @p369 :rule quant-merge-prenex :args ((= (forall @t26 @t325) @t324))) % 28.31/28.51 (step @p370 :rule refl :args (@t315)) % 28.31/28.51 (step @p371 :rule alpha_equiv :args (@t326 @t201 @t275)) % 28.31/28.51 (step @p372 :rule nary_cong :premises (@p371 @p235 @p234 @p370) :args (@t327)) % 28.31/28.51 (step @p373 :rule quant-miniscope-or :args ((= @t325 @t327))) % 28.31/28.51 (step @p374 :rule trans :premises (@p373 @p372)) % 28.31/28.51 (step @p375 :rule symm :premises (@p374)) % 28.31/28.51 (step @p376 :rule cong :premises (@p375) :args ((forall @t26 (or @t282 @t263 @t262 @t315)))) % 28.31/28.51 (step @p377 :rule trans :premises (@p376 @p369)) % 28.31/28.51 (step @p378 :rule trans :premises (@p377 @p368)) % 28.31/28.51 (step @p379 :rule nary_cong :premises (@p246 @p235 @p245 @p370) :args (@t328)) % 28.31/28.51 (step @p380 :rule aci_norm :args ((= (or @t287 (or @t263 (or @t285 @t315))) @t328))) % 28.31/28.51 (step @p381 :rule trans :premises (@p380 @p379)) % 28.31/28.51 (step @p382 :rule bool-and-de-morgan :args (@t284 @t314 true)) % 28.31/28.51 (step @p383 :rule nary_cong :premises (@p235 @p382) :args ((or @t263 (not (and @t284 @t314))))) % 28.31/28.51 (step @p384 :rule bool-and-de-morgan :args (@t72 @t284 (and @t314))) % 28.31/28.51 (step @p385 :rule trans :premises (@p384 @p383)) % 28.31/28.51 (step @p386 :rule nary_cong :premises (@p251 @p385) :args ((or @t287 (not (and @t72 @t284 @t314))))) % 28.31/28.51 (step @p387 :rule bool-and-de-morgan :args (@t286 @t72 (and @t284 @t314))) % 28.31/28.51 (step @p388 :rule trans :premises (@p387 @p386)) % 28.31/28.51 (step @p389 :rule trans :premises (@p388 @p381)) % 28.31/28.51 (step @p390 :rule cong :premises (@p389) :args (@t330)) % 28.31/28.51 (step @p391 :rule trans :premises (@p390 @p378)) % 28.31/28.51 (step @p392 :rule cong :premises (@p391) :args (@t331)) % 28.31/28.51 (step @p393 :rule exists-elim :args ((= (exists @t26 @t329) @t331))) % 28.31/28.51 (step @p394 :rule trans :premises (@p393 @p392)) % 28.31/28.51 (step @p395 :rule quant-merge-prenex :args ((= (forall @t36 @t333) @t314))) % 28.31/28.51 (step @p396 :rule refl :args (@t90)) % 28.31/28.51 (step @p397 :rule refl :args (@t134)) % 28.31/28.51 (step @p398 :rule quant-unused-vars :args ((= @t334 @t135))) % 28.31/28.51 (step @p399 :rule alpha_equiv :args (@t335 (@list @t137 @t136) (@list @t31 @t30))) % 28.31/28.51 (step @p400 :rule nary_cong :premises (@p399 @p398) :args (@t336)) % 28.31/28.51 (step @p401 :rule quant-miniscope-and :args ((= @t337 @t336))) % 28.31/28.51 (step @p402 :rule trans :premises (@p401 @p400)) % 28.31/28.51 (step @p403 :rule nary_cong :premises (@p402 @p397 @p396) :args (@t338)) % 28.31/28.51 (step @p404 :rule quant-miniscope-or :args ((= @t333 @t338))) % 28.31/28.51 (step @p405 :rule trans :premises (@p404 @p403)) % 28.31/28.51 (step @p406 :rule symm :premises (@p405)) % 28.31/28.51 (step @p407 :rule cong :premises (@p406) :args ((forall @t36 @t346))) % 28.31/28.51 (step @p408 :rule trans :premises (@p407 @p395)) % 28.31/28.51 (step @p409 :rule aci_norm :args ((= (or (or @t345 @t134) @t90) @t346))) % 28.31/28.51 (step @p410 :rule refl :args (@t135)) % 28.31/28.51 (step @p411 :rule bool-double-not-elim :args (@t344)) % 28.31/28.51 (step @p412 :rule nary_cong :premises (@p411 @p410) :args ((and (not @t347) @t135))) % 28.31/28.51 (step @p413 :rule bool-or-de-morgan :args (@t347 @t91 false)) % 28.31/28.51 (step @p414 :rule trans :premises (@p413 @p412)) % 28.31/28.51 (step @p415 :rule nary_cong :premises (@p414 @p397) :args ((or @t349 @t134))) % 28.31/28.51 (step @p416 :rule bool-double-not-elim :args (@t134)) % 28.31/28.51 (step @p417 :rule refl :args (@t349)) % 28.31/28.51 (step @p418 :rule nary_cong :premises (@p417 @p416) :args ((or @t349 (not @t350)))) % 28.31/28.51 (step @p419 :rule bool-and-de-morgan :args (@t348 @t350 true)) % 28.31/28.51 (step @p420 :rule trans :premises (@p419 @p418)) % 28.31/28.51 (step @p421 :rule trans :premises (@p420 @p415)) % 28.31/28.51 (step @p422 :rule nary_cong :premises (@p421 @p396) :args ((or (not @t351) @t90))) % 28.31/28.51 (step @p423 :rule trans :premises (@p422 @p409)) % 28.31/28.51 (step @p424 :rule bool-impl-elim :args (@t351 @t90)) % 28.31/28.51 (step @p425 :rule trans :premises (@p424 @p423)) % 28.31/28.51 (step @p426 :rule cong :premises (@p425) :args ((forall @t36 (=> @t351 @t90)))) % 28.31/28.51 (step @p427 :rule trans :premises (@p426 @p408)) % 28.31/28.51 (step @p428 :rule refl :args (@t90)) % 28.31/28.51 (step @p429 :rule eq-symm :args (@t29 tptp.sz00)) % 28.31/28.51 (step @p430 :rule cong :premises (@p429) :args (@t50)) % 28.31/28.51 (step @p431 :rule refl :args (@t91)) % 28.31/28.51 (step @p432 :rule aci_norm :args ((= (or @t342 (or @t341 @t340)) @t343))) % 28.31/28.51 (step @p433 :rule bool-and-de-morgan :args (@t92 @t339 true)) % 28.31/28.51 (step @p434 :rule refl :args (@t342)) % 28.31/28.51 (step @p435 :rule nary_cong :premises (@p434 @p433) :args ((or @t342 (not (and @t92 @t339))))) % 28.31/28.51 (step @p436 :rule bool-and-de-morgan :args (@t93 @t92 (and @t339))) % 28.31/28.51 (step @p437 :rule trans :premises (@p436 @p435)) % 28.31/28.51 (step @p438 :rule trans :premises (@p437 @p432)) % 28.31/28.51 (step @p439 :rule cong :premises (@p438) :args (@t353)) % 28.31/28.51 (step @p440 :rule cong :premises (@p439) :args (@t354)) % 28.31/28.51 (step @p441 :rule exists-elim :args ((= (exists @t34 @t352) @t354))) % 28.31/28.51 (step @p442 :rule trans :premises (@p441 @p440)) % 28.31/28.51 (step @p443 :rule eq-symm :args (@t32 @t29)) % 28.31/28.51 (step @p444 :rule refl :args (@t92)) % 28.31/28.51 (step @p445 :rule refl :args (@t93)) % 28.31/28.51 (step @p446 :rule nary_cong :premises (@p445 @p444 @p443) :args (@t94)) % 28.31/28.51 (step @p447 :rule cong :premises (@p446) :args (@t95)) % 28.31/28.51 (step @p448 :rule trans :premises (@p447 @p442)) % 28.31/28.51 (step @p449 :rule nary_cong :premises (@p448 @p431) :args (@t96)) % 28.31/28.51 (step @p450 :rule nary_cong :premises (@p449 @p430) :args (@t97)) % 28.31/28.51 (step @p451 :rule cong :premises (@p450 @p428) :args (@t98)) % 28.31/28.51 (step @p452 :rule cong :premises (@p451) :args (@t99)) % 28.31/28.51 (step @p453 :rule trans :premises (@p452 @p427)) % 28.31/28.51 (step @p454 :rule nary_cong :premises (@p282 @p265 @p264 @p453) :args (@t100)) % 28.31/28.51 (step @p455 :rule cong :premises (@p454) :args (@t101)) % 28.31/28.51 (step @p456 :rule trans :premises (@p455 @p394)) % 28.31/28.51 (step @p457 :rule refl :args (@t102)) % 28.31/28.51 (step @p458 :rule cong :premises (@p457 @p456) :args (@t103)) % 28.31/28.51 (step @p459 :rule nary_cong :premises (@p307 @p288) :args (@t104)) % 28.31/28.51 (step @p460 :rule cong :premises (@p459 @p458) :args (@t105)) % 28.31/28.51 (step @p461 :rule cong :premises (@p460) :args (@t106)) % 28.31/28.51 (step @p462 :rule trans :premises (@p461 @p343)) % 28.31/28.51 (step @p463 :rule cong :premises (@p462 @p310) :args (@t107)) % 28.31/28.51 (step @p464 :rule refl :args (@t47)) % 28.31/28.51 (step @p465 :rule refl :args (@t63)) % 28.31/28.51 (step @p466 :rule aci_norm :args ((= (or @t219 (or @t218 @t217)) @t220))) % 28.31/28.51 (step @p467 :rule bool-and-de-morgan :args (@t58 @t216 true)) % 28.31/28.51 (step @p468 :rule refl :args (@t219)) % 28.31/28.51 (step @p469 :rule nary_cong :premises (@p468 @p467) :args ((or @t219 (not (and @t58 @t216))))) % 28.31/28.51 (step @p470 :rule bool-and-de-morgan :args (@t59 @t58 (and @t216))) % 28.31/28.51 (step @p471 :rule trans :premises (@p470 @p469)) % 28.31/28.51 (step @p472 :rule trans :premises (@p471 @p466)) % 28.31/28.51 (step @p473 :rule cong :premises (@p472) :args (@t356)) % 28.31/28.51 (step @p474 :rule cong :premises (@p473) :args (@t357)) % 28.31/28.51 (step @p475 :rule exists-elim :args ((= (exists @t61 @t355) @t357))) % 28.31/28.51 (step @p476 :rule trans :premises (@p475 @p474)) % 28.31/28.51 (step @p477 :rule eq-symm :args (@t12 @t1)) % 28.31/28.51 (step @p478 :rule refl :args (@t58)) % 28.31/28.51 (step @p479 :rule refl :args (@t59)) % 28.31/28.51 (step @p480 :rule nary_cong :premises (@p479 @p478 @p477) :args (@t60)) % 28.31/28.51 (step @p481 :rule cong :premises (@p480) :args (@t62)) % 28.31/28.51 (step @p482 :rule trans :premises (@p481 @p476)) % 28.31/28.51 (step @p483 :rule nary_cong :premises (@p482 @p465 @p464) :args (@t108)) % 28.31/28.51 (step @p484 :rule cong :premises (@p483 @p463) :args (@t109)) % 28.31/28.51 (step @p485 :rule cong :premises (@p484) :args (@t110)) % 28.31/28.51 (step @p486 :rule trans :premises (@p485 @p174)) % 28.31/28.51 (step @p487 :rule cong :premises (@p486) :args (@t111)) % 28.31/28.51 (step @p488 :rule trans :premises (@p487 @p100)) % 28.31/28.51 (step @p489 :rule eq_resolve :premises (@p45 @p488)) % 28.31/28.51 (step @p490 :rule not_or_elim :premises (@p489) :args (0)) % 28.31/28.51 (step @p491 :rule not_not_elim :premises (@p490)) % 28.31/28.51 (step @p492 :rule instantiate :premises (@p491) :args ((@list @t363 tptp.sz00 tptp.sz00))) % 28.31/28.51 (step @p493 :rule not_or_elim :premises (@p489) :args (1)) % 28.31/28.51 (step @p494 :rule skolemize :premises (@p493)) % 28.31/28.51 (step @p495 :rule cnf_or_neg :args (@t381 2)) % 28.31/28.51 (step @p496 :rule chain_m_resolution :premises (@p495 @p494) :args ((not @t377) @t382 @t383)) % 28.31/28.51 (step @p497 :rule instantiate :premises (@p491) :args ((@list @t366 tptp.sz00 tptp.sz00))) % 28.31/28.51 (step @p498 :rule bool-double-not-elim :args (@t379)) % 28.31/28.51 (step @p499 :rule refl :args (@t381)) % 28.31/28.51 (step @p500 :rule nary_cong :premises (@p499 @p498) :args ((or @t381 (not @t380)))) % 28.31/28.51 (step @p501 :rule cnf_or_neg :args (@t381 0)) % 28.31/28.51 (step @p502 :rule eq_resolve :premises (@p501 @p500)) % 28.31/28.51 (step @p503 :rule reordering :premises (@p502) :args ((or @t379 @t381))) % 28.31/28.51 (step @p504 :rule chain_m_resolution :premises (@p503 @p494) :args (@t379 @t382 @t383)) % 28.31/28.51 (step @p505 :rule cnf_and_pos :args (@t387 1)) % 28.31/28.51 (step @p506 :rule reordering :premises (@p505) :args ((or @t380 @t388))) % 28.31/28.51 (step @p507 :rule chain_m_resolution :premises (@p506 @p504) :args (@t388 @t389 (@list @t379))) % 28.31/28.51 (step @p508 :rule cnf_or_neg :args (@t381 1)) % 28.31/28.51 (step @p509 :rule chain_m_resolution :premises (@p508 @p494) :args ((not @t378) @t382 @t383)) % 28.31/28.51 (step @p510 :rule cnf_or_pos :args (@t393)) % 28.31/28.51 (step @p511 :rule reordering :premises (@p510) :args ((or @t378 @t387 @t392 (not @t393)))) % 28.31/28.51 (step @p512 :rule chain_m_resolution :premises (@p511 @p509 @p507 @p497) :args (@t392 @t394 (@list @t378 @t387 @t393))) % 28.31/28.51 (step @p513 :rule skolemize :premises (@p512)) % 28.31/28.51 (step @p514 :rule bool-double-not-elim :args (@t398)) % 28.31/28.51 (step @p515 :rule refl :args (@t403)) % 28.31/28.51 (step @p516 :rule nary_cong :premises (@p515 @p514) :args ((or @t403 (not @t402)))) % 28.31/28.51 (step @p517 :rule cnf_or_neg :args (@t403 0)) % 28.31/28.51 (step @p518 :rule eq_resolve :premises (@p517 @p516)) % 28.31/28.51 (step @p519 :rule reordering :premises (@p518) :args ((or @t398 @t403))) % 28.31/28.51 (step @p520 :rule chain_m_resolution :premises (@p519 @p513) :args (@t398 @t382 @t404)) % 28.31/28.51 (step @p521 :rule cnf_and_pos :args (@t405 1)) % 28.31/28.51 (step @p522 :rule reordering :premises (@p521) :args ((or @t402 @t406))) % 28.31/28.51 (step @p523 :rule chain_m_resolution :premises (@p522 @p520) :args (@t406 @t389 (@list @t398))) % 28.31/28.51 (step @p524 :rule bool-double-not-elim :args (@t399)) % 28.31/28.51 (step @p525 :rule nary_cong :premises (@p515 @p524) :args ((or @t403 (not @t400)))) % 28.31/28.51 (step @p526 :rule cnf_or_neg :args (@t403 2)) % 28.31/28.51 (step @p527 :rule eq_resolve :premises (@p526 @p525)) % 28.31/28.51 (step @p528 :rule reordering :premises (@p527) :args ((or @t399 @t403))) % 28.31/28.51 (step @p529 :rule chain_m_resolution :premises (@p528 @p513) :args (@t399 @t382 @t404)) % 28.31/28.51 (step @p530 :rule cnf_or_neg :args (@t403 1)) % 28.31/28.51 (step @p531 :rule chain_m_resolution :premises (@p530 @p513) :args ((not @t401) @t382 @t404)) % 28.31/28.51 (step @p532 :rule cnf_or_pos :args (@t407)) % 28.31/28.51 (step @p533 :rule reordering :premises (@p532) :args ((or @t401 @t400 @t405 @t408))) % 28.31/28.51 (step @p534 :rule chain_m_resolution :premises (@p533 @p531 @p529 @p523) :args (@t408 (@list true false true) (@list @t401 @t399 @t405))) % 28.31/28.51 (step @p535 :rule refl :args (@t400)) % 28.31/28.51 (step @p536 :rule refl :args (@t401)) % 28.31/28.51 (step @p537 :rule refl :args (@t402)) % 28.31/28.51 (step @p538 :rule eq-symm :args (@t397 @t384)) % 28.31/28.51 (step @p539 :rule cong :premises (@p538) :args (@t409)) % 28.31/28.51 (step @p540 :rule refl :args (@t385)) % 28.31/28.51 (step @p541 :rule refl :args (@t386)) % 28.31/28.51 (step @p542 :rule nary_cong :premises (@p541 @p540 @p539) :args (@t410)) % 28.31/28.51 (step @p543 :rule nary_cong :premises (@p542 @p537) :args (@t411)) % 28.31/28.51 (step @p544 :rule nary_cong :premises (@p543 @p536 @p535) :args (@t412)) % 28.31/28.51 (step @p545 :rule refl :args (@t368)) % 28.31/28.51 (step @p546 :rule cong :premises (@p545 @p544) :args ((=> @t368 @t412))) % 28.31/28.51 (assume-push @p631 @t368) % 28.31/28.51 (step @p548 :rule instantiate :premises (@p631) :args ((@list @t397 tptp.sz00 tptp.sz00))) % 28.31/28.51 (step-pop @p632 :rule scope :premises (@p548)) % 28.31/28.51 (step @p549 :rule process_scope :premises (@p632) :args (@t412)) % 28.31/28.51 (step @p551 :rule eq_resolve :premises (@p549 @p546)) % 28.31/28.51 (step @p552 :rule implies_elim :premises (@p551)) % 28.31/28.51 (step @p553 :rule chain_m_resolution :premises (@p552 @p534) :args (@t369 @t382 (@list @t407))) % 28.31/28.51 (step @p554 :rule bool-double-not-elim :args (@t368)) % 28.31/28.51 (step @p555 :rule refl :args (@t413)) % 28.31/28.51 (step @p556 :rule refl :args (@t377)) % 28.31/28.51 (step @p557 :rule nary_cong :premises (@p556 @p555 @p554) :args ((or @t377 @t413 (not @t369)))) % 28.31/28.51 (step @p558 :rule cnf_and_neg :args (@t377)) % 28.31/28.51 (step @p559 :rule eq_resolve :premises (@p558 @p557)) % 28.31/28.51 (step @p560 :rule reordering :premises (@p559) :args ((or @t368 @t377 @t413))) % 28.31/28.51 (step @p561 :rule chain_m_resolution :premises (@p560 @p553 @p496) :args (@t413 (@list true true) (@list @t368 @t377))) % 28.31/28.51 (step @p562 :rule bool-double-not-elim :args (@t374)) % 28.31/28.51 (step @p563 :rule refl :args (@t376)) % 28.31/28.51 (step @p564 :rule nary_cong :premises (@p563 @p562) :args ((or @t376 (not @t375)))) % 28.31/28.51 (step @p565 :rule cnf_or_neg :args (@t376 0)) % 28.31/28.51 (step @p566 :rule eq_resolve :premises (@p565 @p564)) % 28.31/28.51 (step @p567 :rule reordering :premises (@p566) :args ((or @t374 @t376))) % 28.31/28.51 (step @p568 :rule chain_m_resolution :premises (@p567 @p561) :args (@t374 @t382 @t414)) % 28.31/28.51 (step @p569 :rule cnf_and_pos :args (@t415 1)) % 28.31/28.51 (step @p570 :rule reordering :premises (@p569) :args ((or @t375 @t416))) % 28.31/28.51 (step @p571 :rule chain_m_resolution :premises (@p570 @p568) :args (@t416 @t389 (@list @t374))) % 28.31/28.51 (step @p572 :rule cnf_or_neg :args (@t376 1)) % 28.31/28.51 (step @p573 :rule chain_m_resolution :premises (@p572 @p561) :args ((not @t373) @t382 @t414)) % 28.31/28.51 (step @p574 :rule cnf_or_pos :args (@t419)) % 28.31/28.51 (step @p575 :rule reordering :premises (@p574) :args ((or @t373 @t415 @t418 (not @t419)))) % 28.31/28.51 (step @p576 :rule chain_m_resolution :premises (@p575 @p573 @p571 @p492) :args (@t418 @t394 (@list @t373 @t415 @t419))) % 28.31/28.51 (step @p577 :rule refl :args (@t429)) % 28.31/28.51 (step @p578 :rule bool-double-not-elim :args (@t417)) % 28.31/28.51 (step @p579 :rule nary_cong :premises (@p578 @p577) :args ((or (not @t418) @t429))) % 28.31/28.51 (assume-push @p633 @t418) % 28.31/28.51 (step @p581 :rule skolemize :premises (@p633)) % 28.31/28.51 (step-pop @p634 :rule scope :premises (@p581)) % 28.31/28.51 (step @p582 :rule process_scope :premises (@p634) :args (@t429)) % 28.31/28.51 (step @p584 :rule implies_elim :premises (@p582)) % 28.31/28.51 (step @p585 :rule eq_resolve :premises (@p584 @p579)) % 28.31/28.51 (step @p586 :rule chain_m_resolution :premises (@p585 @p576) :args (@t429 @t382 (@list @t417))) % 28.31/28.51 (step @p587 :rule cnf_or_neg :args (@t428 1)) % 28.31/28.51 (step @p588 :rule chain_m_resolution :premises (@p587 @p586) :args ((not @t425) @t382 @t430)) % 28.31/28.51 (step @p589 :rule bool-double-not-elim :args (@t371)) % 28.31/28.51 (step @p590 :rule nary_cong :premises (@p563 @p589) :args ((or @t376 (not @t372)))) % 28.31/28.51 (step @p591 :rule cnf_or_neg :args (@t376 2)) % 28.31/28.51 (step @p592 :rule eq_resolve :premises (@p591 @p590)) % 28.31/28.51 (step @p593 :rule reordering :premises (@p592) :args ((or @t371 @t376))) % 28.31/28.51 (step @p594 :rule chain_m_resolution :premises (@p593 @p561) :args (@t371 @t382 @t414)) % 28.31/28.51 (step @p595 :rule refl :args (@t424)) % 28.31/28.51 (step @p596 :rule refl :args (@t425)) % 28.31/28.51 (step @p597 :rule refl :args (@t427)) % 28.31/28.51 (step @p598 :rule eq-symm :args (@t422 @t384)) % 28.31/28.51 (step @p599 :rule cong :premises (@p598) :args (@t431)) % 28.31/28.51 (step @p600 :rule nary_cong :premises (@p541 @p540 @p599) :args (@t432)) % 28.31/28.51 (step @p601 :rule nary_cong :premises (@p600 @p597) :args (@t433)) % 28.31/28.51 (step @p602 :rule nary_cong :premises (@p601 @p596 @p595) :args (@t434)) % 28.31/28.51 (step @p603 :rule refl :args (@t371)) % 28.31/28.51 (step @p604 :rule cong :premises (@p603 @p602) :args ((=> @t371 @t434))) % 28.31/28.51 (assume-push @p635 @t371) % 28.31/28.51 (step @p606 :rule instantiate :premises (@p635) :args ((@list @t422 tptp.sz00 tptp.sz00))) % 28.31/28.51 (step-pop @p636 :rule scope :premises (@p606)) % 28.31/28.51 (step @p607 :rule process_scope :premises (@p636) :args (@t434)) % 28.31/28.51 (step @p609 :rule eq_resolve :premises (@p607 @p604)) % 28.31/28.51 (step @p610 :rule implies_elim :premises (@p609)) % 28.31/28.51 (step @p611 :rule chain_m_resolution :premises (@p610 @p594) :args (@t436 @t389 (@list @t371))) % 28.31/28.51 (step @p612 :rule bool-double-not-elim :args (@t423)) % 28.31/28.51 (step @p613 :rule refl :args (@t428)) % 28.31/28.51 (step @p614 :rule nary_cong :premises (@p613 @p612) :args ((or @t428 (not @t424)))) % 28.31/28.51 (step @p615 :rule cnf_or_neg :args (@t428 2)) % 28.31/28.51 (step @p616 :rule eq_resolve :premises (@p615 @p614)) % 28.31/28.51 (step @p617 :rule reordering :premises (@p616) :args ((or @t423 @t428))) % 28.31/28.51 (step @p618 :rule chain_m_resolution :premises (@p617 @p586) :args (@t423 @t382 @t430)) % 28.31/28.51 (step @p619 :rule bool-double-not-elim :args (@t426)) % 28.31/28.51 (step @p620 :rule nary_cong :premises (@p613 @p619) :args ((or @t428 (not @t427)))) % 28.31/28.51 (step @p621 :rule cnf_or_neg :args (@t428 0)) % 28.31/28.51 (step @p622 :rule eq_resolve :premises (@p621 @p620)) % 28.31/28.51 (step @p623 :rule reordering :premises (@p622) :args ((or @t426 @t428))) % 28.31/28.51 (step @p624 :rule chain_m_resolution :premises (@p623 @p586) :args (@t426 @t382 @t430)) % 28.31/28.51 (step @p625 :rule cnf_and_pos :args (@t435 1)) % 28.31/28.51 (step @p626 :rule reordering :premises (@p625) :args ((or @t427 @t437))) % 28.31/28.51 (step @p627 :rule chain_m_resolution :premises (@p626 @p624) :args (@t437 @t389 (@list @t426))) % 28.31/28.51 (step @p628 :rule cnf_or_pos :args (@t436)) % 28.31/28.51 (step @p629 :rule reordering :premises (@p628) :args ((or @t425 @t424 @t435 (not @t436)))) % 28.31/28.51 (step @p630 false :rule chain_m_resolution :premises (@p629 @p627 @p618 @p611 @p588) :args (false (@list true false false true) (@list @t435 @t423 @t436 @t425))) % 28.31/28.51 ) % 28.31/28.51 % SZS output end Proof % 28.31/28.51 % cvc5 exiting %------------------------------------------------------------------------------