%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM013+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 : n016.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 08:10:24 AM UTC 2026 % Result : Theorem 16.21s 16.61s % Output : Proof 16.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM013+4 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.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 : Mon Jun 1 20:28:39 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 16.21/16.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.21/16.61 --- Run --no-e-matching --full-saturate-quant at 6... % 16.21/16.61 % SZS status Theorem % 16.21/16.61 % SZS output start Proof % 16.21/16.61 ( % 16.21/16.61 (declare-sort $$unsorted 0) % 16.21/16.61 (declare-const tptp.xR $$unsorted) % 16.21/16.61 (declare-const tptp.aNormalFormOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.21/16.61 (declare-const tptp.isTerminating0 (-> $$unsorted Bool)) % 16.21/16.61 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 16.21/16.61 (declare-const tptp.isLocallyConfluent0 (-> $$unsorted Bool)) % 16.21/16.61 (declare-const tptp.aReductOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.21/16.61 (declare-const tptp.isConfluent0 (-> $$unsorted Bool)) % 16.21/16.61 (declare-const tptp.sdtmndtasgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.21/16.61 (declare-const tptp.sdtmndtplgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.21/16.61 (declare-const tptp.aRewritingSystem0 (-> $$unsorted Bool)) % 16.21/16.61 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 16.21/16.61 (define @t1 () (@var "W0" $$unsorted)) % 16.21/16.61 (define @t2 () (tptp.aElement0 @t1)) % 16.21/16.61 (define @t3 () (@list @t1)) % 16.21/16.61 (define @t4 () (tptp.aRewritingSystem0 @t1)) % 16.21/16.61 (define @t5 () (@var "W2" $$unsorted)) % 16.21/16.61 (define @t6 () (tptp.aElement0 @t5)) % 16.21/16.61 (define @t7 () (@var "W1" $$unsorted)) % 16.21/16.61 (define @t8 () (tptp.aReductOfIn0 @t5 @t1 @t7)) % 16.21/16.61 (define @t9 () (@list @t5)) % 16.21/16.61 (define @t10 () (forall @t9 (=> @t8 @t6))) % 16.21/16.61 (define @t11 () (tptp.aRewritingSystem0 @t7)) % 16.21/16.61 (define @t12 () (and @t2 @t11)) % 16.21/16.61 (define @t13 () (=> @t12 @t10)) % 16.21/16.61 (define @t14 () (@list @t1 @t7)) % 16.21/16.61 (define @t15 () (forall @t14 @t13)) % 16.21/16.61 (define @t16 () (tptp.aElement0 @t7)) % 16.21/16.61 (define @t17 () (and @t2 @t16)) % 16.21/16.61 (define @t18 () (tptp.sdtmndtplgtdt0 @t1 @t7 @t5)) % 16.21/16.61 (define @t19 () (and @t2 @t11 @t6)) % 16.21/16.61 (define @t20 () (@list @t1 @t7 @t5)) % 16.21/16.61 (define @t21 () (@var "W3" $$unsorted)) % 16.21/16.61 (define @t22 () (tptp.sdtmndtplgtdt0 @t21 @t7 @t5)) % 16.21/16.61 (define @t23 () (tptp.aReductOfIn0 @t21 @t1 @t7)) % 16.21/16.61 (define @t24 () (tptp.aElement0 @t21)) % 16.21/16.61 (define @t25 () (and @t24 @t23 @t22)) % 16.21/16.61 (define @t26 () (@list @t21)) % 16.21/16.61 (define @t27 () (exists @t26 @t25)) % 16.21/16.61 (define @t28 () (or @t8 @t27)) % 16.21/16.61 (define @t29 () (= @t18 @t28)) % 16.21/16.61 (define @t30 () (=> @t19 @t29)) % 16.21/16.61 (define @t31 () (forall @t20 @t30)) % 16.21/16.61 (define @t32 () (tptp.sdtmndtplgtdt0 @t1 @t7 @t21)) % 16.21/16.61 (define @t33 () (tptp.sdtmndtplgtdt0 @t5 @t7 @t21)) % 16.21/16.61 (define @t34 () (and @t18 @t33)) % 16.21/16.61 (define @t35 () (=> @t34 @t32)) % 16.21/16.61 (define @t36 () (and @t2 @t11 @t6 @t24)) % 16.21/16.61 (define @t37 () (@list @t1 @t7 @t5 @t21)) % 16.21/16.61 (define @t38 () (forall @t37 (=> @t36 @t35))) % 16.21/16.61 (define @t39 () (tptp.sdtmndtasgtdt0 @t1 @t7 @t5)) % 16.21/16.61 (define @t40 () (= @t39 (or (= @t1 @t5) @t18))) % 16.21/16.61 (define @t41 () (forall @t20 (=> @t19 @t40))) % 16.21/16.61 (define @t42 () (tptp.sdtmndtasgtdt0 @t1 @t7 @t21)) % 16.21/16.61 (define @t43 () (tptp.sdtmndtasgtdt0 @t5 @t7 @t21)) % 16.21/16.61 (define @t44 () (and @t39 @t43)) % 16.21/16.61 (define @t45 () (=> @t44 @t42)) % 16.21/16.61 (define @t46 () (forall @t37 (=> @t36 @t45))) % 16.21/16.61 (define @t47 () (@var "W4" $$unsorted)) % 16.21/16.61 (define @t48 () (exists (@list @t47) (and (tptp.aElement0 @t47) (tptp.sdtmndtasgtdt0 @t5 @t1 @t47) (tptp.sdtmndtasgtdt0 @t21 @t1 @t47)))) % 16.21/16.61 (define @t49 () (@list @t7 @t5 @t21)) % 16.21/16.61 (define @t50 () (tptp.aReductOfIn0 @t21 @t5 @t7)) % 16.21/16.61 (define @t51 () (exists @t26 @t50)) % 16.21/16.61 (define @t52 () (not @t51)) % 16.21/16.61 (define @t53 () (and @t6 @t39 @t52)) % 16.21/16.61 (define @t54 () (tptp.aNormalFormOfIn0 @t5 @t1 @t7)) % 16.21/16.61 (define @t55 () (= @t54 @t53)) % 16.21/16.61 (define @t56 () (forall @t9 @t55)) % 16.21/16.61 (define @t57 () (=> @t12 @t56)) % 16.21/16.61 (define @t58 () (forall @t14 @t57)) % 16.21/16.61 (define @t59 () (tptp.iLess0 @t7 @t1)) % 16.21/16.61 (define @t60 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR @t7)) % 16.21/16.61 (define @t61 () (tptp.sdtmndtplgtdt0 @t5 tptp.xR @t7)) % 16.21/16.61 (define @t62 () (tptp.aReductOfIn0 @t5 @t1 tptp.xR)) % 16.21/16.61 (define @t63 () (and @t6 @t62 @t61)) % 16.21/16.61 (define @t64 () (exists @t9 @t63)) % 16.21/16.61 (define @t65 () (tptp.aReductOfIn0 @t7 @t1 tptp.xR)) % 16.21/16.61 (define @t66 () (or @t65 @t64 @t60)) % 16.21/16.61 (define @t67 () (=> @t66 @t59)) % 16.21/16.61 (define @t68 () (=> @t17 @t67)) % 16.21/16.61 (define @t69 () (forall @t14 @t68)) % 16.21/16.61 (define @t70 () (tptp.aRewritingSystem0 tptp.xR)) % 16.21/16.61 (define @t71 () (tptp.aNormalFormOfIn0 @t7 @t1 tptp.xR)) % 16.21/16.61 (define @t72 () (tptp.aReductOfIn0 @t5 @t7 tptp.xR)) % 16.21/16.61 (define @t73 () (exists @t9 @t72)) % 16.21/16.61 (define @t74 () (not @t73)) % 16.21/16.61 (define @t75 () (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t7)) % 16.21/16.61 (define @t76 () (= @t1 @t7)) % 16.21/16.61 (define @t77 () (or @t76 @t65 @t64 @t60 @t75)) % 16.21/16.61 (define @t78 () (and @t16 @t77 @t74)) % 16.21/16.61 (define @t79 () (or @t78 @t71)) % 16.21/16.61 (define @t80 () (@list @t7)) % 16.21/16.61 (define @t81 () (exists @t80 @t79)) % 16.21/16.61 (define @t82 () (tptp.aNormalFormOfIn0 @t5 @t7 tptp.xR)) % 16.21/16.61 (define @t83 () (tptp.aReductOfIn0 @t21 @t5 tptp.xR)) % 16.21/16.61 (define @t84 () (exists @t26 @t83)) % 16.21/16.61 (define @t85 () (not @t84)) % 16.21/16.61 (define @t86 () (tptp.sdtmndtasgtdt0 @t7 tptp.xR @t5)) % 16.21/16.61 (define @t87 () (tptp.sdtmndtplgtdt0 @t7 tptp.xR @t5)) % 16.21/16.61 (define @t88 () (tptp.sdtmndtplgtdt0 @t21 tptp.xR @t5)) % 16.21/16.61 (define @t89 () (tptp.aReductOfIn0 @t21 @t7 tptp.xR)) % 16.21/16.61 (define @t90 () (and @t24 @t89 @t88)) % 16.21/16.61 (define @t91 () (exists @t26 @t90)) % 16.21/16.61 (define @t92 () (or @t72 @t91)) % 16.21/16.61 (define @t93 () (and @t92 @t87)) % 16.21/16.61 (define @t94 () (= @t7 @t5)) % 16.21/16.61 (define @t95 () (or @t94 @t93)) % 16.21/16.61 (define @t96 () (and @t6 @t95 @t86 @t85 @t82)) % 16.21/16.61 (define @t97 () (exists @t9 @t96)) % 16.21/16.61 (define @t98 () (=> @t59 @t97)) % 16.21/16.61 (define @t99 () (=> @t16 @t98)) % 16.21/16.61 (define @t100 () (forall @t80 @t99)) % 16.21/16.61 (define @t101 () (=> @t100 @t81)) % 16.21/16.61 (define @t102 () (=> @t2 @t101)) % 16.21/16.61 (define @t103 () (forall @t3 @t102)) % 16.21/16.61 (define @t104 () (not @t103)) % 16.21/16.61 (define @t105 () (not @t43)) % 16.21/16.61 (define @t106 () (not @t39)) % 16.21/16.61 (define @t107 () (not @t24)) % 16.21/16.61 (define @t108 () (not @t6)) % 16.21/16.61 (define @t109 () (not @t11)) % 16.21/16.61 (define @t110 () (not @t2)) % 16.21/16.61 (define @t111 () (or @t110 @t109 @t108 @t107 @t106 @t105 @t42)) % 16.21/16.61 (define @t112 () (or @t106 @t105 @t42)) % 16.21/16.61 (define @t113 () (or @t110 @t109 @t108 @t107)) % 16.21/16.61 (define @t114 () (not @t36)) % 16.21/16.61 (define @t115 () (@var "BOUND_VARIABLE_7712" $$unsorted)) % 16.21/16.61 (define @t116 () (= (tptp.aNormalFormOfIn0 @t115 @t1 @t7) (and (tptp.aElement0 @t115) (tptp.sdtmndtasgtdt0 @t1 @t7 @t115) (forall @t26 (not (tptp.aReductOfIn0 @t21 @t115 @t7)))))) % 16.21/16.61 (define @t117 () (or @t110 @t109 @t116)) % 16.21/16.61 (define @t118 () (@list @t115)) % 16.21/16.61 (define @t119 () (forall @t118 @t117)) % 16.21/16.61 (define @t120 () (forall @t118 @t116)) % 16.21/16.61 (define @t121 () (@list @t5)) % 16.21/16.61 (define @t122 () (or @t110 @t109 @t120)) % 16.21/16.61 (define @t123 () (forall @t26 (not @t50))) % 16.21/16.61 (define @t124 () (forall @t9 (= @t54 (and @t6 @t39 @t123)))) % 16.21/16.61 (define @t125 () (or @t110 @t109 @t124)) % 16.21/16.61 (define @t126 () (or @t110 @t109)) % 16.21/16.61 (define @t127 () (not @t12)) % 16.21/16.61 (define @t128 () (@var "BOUND_VARIABLE_7860" $$unsorted)) % 16.21/16.61 (define @t129 () (@list @t128)) % 16.21/16.61 (define @t130 () (forall @t129 (not (tptp.aNormalFormOfIn0 @t128 @t1 tptp.xR)))) % 16.21/16.61 (define @t131 () (not @t130)) % 16.21/16.61 (define @t132 () (@var "BOUND_VARIABLE_7836" $$unsorted)) % 16.21/16.61 (define @t133 () (not (forall @t9 (not (tptp.aReductOfIn0 @t5 @t132 tptp.xR))))) % 16.21/16.61 (define @t134 () (not (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t132))) % 16.21/16.61 (define @t135 () (not (tptp.sdtmndtplgtdt0 @t1 tptp.xR @t132))) % 16.21/16.61 (define @t136 () (@var "BOUND_VARIABLE_7867" $$unsorted)) % 16.21/16.61 (define @t137 () (not (tptp.sdtmndtplgtdt0 @t136 tptp.xR @t132))) % 16.21/16.61 (define @t138 () (not (tptp.aElement0 @t136))) % 16.21/16.61 (define @t139 () (or @t138 (not (tptp.aReductOfIn0 @t136 @t1 tptp.xR)) @t137)) % 16.21/16.61 (define @t140 () (not (tptp.aReductOfIn0 @t132 @t1 tptp.xR))) % 16.21/16.61 (define @t141 () (not (= @t1 @t132))) % 16.21/16.61 (define @t142 () (and @t141 @t140 @t139 @t135 @t134)) % 16.21/16.61 (define @t143 () (not (tptp.aElement0 @t132))) % 16.21/16.61 (define @t144 () (or @t143 @t142 @t133)) % 16.21/16.61 (define @t145 () (@list @t132 @t136)) % 16.21/16.61 (define @t146 () (forall @t145 @t144)) % 16.21/16.61 (define @t147 () (not @t146)) % 16.21/16.61 (define @t148 () (not @t82)) % 16.21/16.61 (define @t149 () (forall @t26 (not @t83))) % 16.21/16.61 (define @t150 () (not @t149)) % 16.21/16.61 (define @t151 () (not @t86)) % 16.21/16.61 (define @t152 () (not @t87)) % 16.21/16.61 (define @t153 () (@var "BOUND_VARIABLE_7794" $$unsorted)) % 16.21/16.61 (define @t154 () (not (tptp.sdtmndtplgtdt0 @t153 tptp.xR @t5))) % 16.21/16.61 (define @t155 () (not (tptp.aElement0 @t153))) % 16.21/16.61 (define @t156 () (or @t155 (not (tptp.aReductOfIn0 @t153 @t7 tptp.xR)) @t154)) % 16.21/16.61 (define @t157 () (not @t72)) % 16.21/16.61 (define @t158 () (and @t157 @t156)) % 16.21/16.61 (define @t159 () (or @t158 @t152)) % 16.21/16.61 (define @t160 () (not @t94)) % 16.21/16.61 (define @t161 () (and @t160 @t159)) % 16.21/16.61 (define @t162 () (or @t108 @t161 @t151 @t150 @t148)) % 16.21/16.61 (define @t163 () (@list @t5 @t153)) % 16.21/16.61 (define @t164 () (forall @t163 @t162)) % 16.21/16.61 (define @t165 () (not @t164)) % 16.21/16.61 (define @t166 () (not @t59)) % 16.21/16.61 (define @t167 () (not @t16)) % 16.21/16.61 (define @t168 () (or @t167 @t166 @t165)) % 16.21/16.61 (define @t169 () (forall @t80 @t168)) % 16.21/16.61 (define @t170 () (not @t169)) % 16.21/16.61 (define @t171 () (or @t110 @t170 @t147 @t131)) % 16.21/16.61 (define @t172 () (forall @t3 @t171)) % 16.21/16.61 (define @t173 () (@quantifiers_skolemize @t172 0)) % 16.21/16.61 (define @t174 () (not (tptp.aReductOfIn0 @t21 @t173 tptp.xR))) % 16.21/16.61 (define @t175 () (forall @t26 @t174)) % 16.21/16.61 (define @t176 () (@quantifiers_skolemize @t175 0)) % 16.21/16.61 (define @t177 () (forall @t9 (not (tptp.aReductOfIn0 @t5 @t176 tptp.xR)))) % 16.21/16.61 (define @t178 () (@quantifiers_skolemize @t177 0)) % 16.21/16.61 (define @t179 () (not (tptp.aNormalFormOfIn0 @t5 @t178 tptp.xR))) % 16.21/16.61 (define @t180 () (not (tptp.sdtmndtasgtdt0 @t178 tptp.xR @t5))) % 16.21/16.61 (define @t181 () (or (and (not (tptp.aReductOfIn0 @t5 @t178 tptp.xR)) (or @t155 (not (tptp.aReductOfIn0 @t153 @t178 tptp.xR)) @t154)) (not (tptp.sdtmndtplgtdt0 @t178 tptp.xR @t5)))) % 16.21/16.61 (define @t182 () (forall @t163 (or @t108 (and (not (= @t5 @t178)) @t181) @t180 @t150 @t179))) % 16.21/16.61 (define @t183 () (@quantifiers_skolemize @t182 0)) % 16.21/16.61 (define @t184 () (or @t170 @t147 @t131)) % 16.21/16.61 (define @t185 () (not (and @t146 @t130))) % 16.21/16.61 (define @t186 () (=> @t169 @t185)) % 16.21/16.61 (define @t187 () (@list @t136)) % 16.21/16.61 (define @t188 () (forall @t187 @t144)) % 16.21/16.61 (define @t189 () (@list @t132)) % 16.21/16.61 (define @t190 () (forall @t187 @t134)) % 16.21/16.61 (define @t191 () (forall @t187 @t135)) % 16.21/16.61 (define @t192 () (forall @t187 @t139)) % 16.21/16.61 (define @t193 () (forall @t187 @t140)) % 16.21/16.61 (define @t194 () (forall @t187 @t141)) % 16.21/16.61 (define @t195 () (and @t194 @t193 @t192 @t191 @t190)) % 16.21/16.61 (define @t196 () (forall @t187 @t142)) % 16.21/16.61 (define @t197 () (or @t143 @t196 @t133)) % 16.21/16.61 (define @t198 () (not @t62)) % 16.21/16.61 (define @t199 () (forall @t189 (or @t143 (and @t141 @t140 (forall @t9 (or @t108 @t198 (not (tptp.sdtmndtplgtdt0 @t5 tptp.xR @t132)))) @t135 @t134) @t133))) % 16.21/16.61 (define @t200 () (not @t71)) % 16.21/16.61 (define @t201 () (forall @t80 @t200)) % 16.21/16.61 (define @t202 () (@list @t7)) % 16.21/16.61 (define @t203 () (forall @t9 @t157)) % 16.21/16.61 (define @t204 () (not @t203)) % 16.21/16.61 (define @t205 () (not @t75)) % 16.21/16.61 (define @t206 () (not @t60)) % 16.21/16.61 (define @t207 () (not @t61)) % 16.21/16.61 (define @t208 () (or @t108 @t198 @t207)) % 16.21/16.61 (define @t209 () (forall @t9 @t208)) % 16.21/16.61 (define @t210 () (not @t65)) % 16.21/16.61 (define @t211 () (not @t76)) % 16.21/16.61 (define @t212 () (or @t167 (and @t211 @t210 @t209 @t206 @t205) @t204)) % 16.21/16.61 (define @t213 () (forall @t80 @t212)) % 16.21/16.61 (define @t214 () (and @t213 @t201)) % 16.21/16.61 (define @t215 () (not @t209)) % 16.21/16.61 (define @t216 () (not @t215)) % 16.21/16.61 (define @t217 () (and @t211 @t210 @t216 @t206 @t205)) % 16.21/16.61 (define @t218 () (or @t76 @t65 @t215 @t60 @t75)) % 16.21/16.61 (define @t219 () (not @t218)) % 16.21/16.61 (define @t220 () (or @t167 @t219 @t204)) % 16.21/16.61 (define @t221 () (and @t16 @t218 @t203)) % 16.21/16.61 (define @t222 () (or @t221 @t71)) % 16.21/16.61 (define @t223 () (forall @t80 (not @t222))) % 16.21/16.61 (define @t224 () (not @t223)) % 16.21/16.61 (define @t225 () (forall @t9 (not @t63))) % 16.21/16.61 (define @t226 () (not @t225)) % 16.21/16.61 (define @t227 () (=> @t59 @t165)) % 16.21/16.61 (define @t228 () (@list @t153)) % 16.21/16.61 (define @t229 () (forall @t228 @t162)) % 16.21/16.61 (define @t230 () (forall @t228 @t156)) % 16.21/16.61 (define @t231 () (forall @t228 @t157)) % 16.21/16.61 (define @t232 () (and @t231 @t230)) % 16.21/16.61 (define @t233 () (forall @t228 @t158)) % 16.21/16.61 (define @t234 () (or @t233 @t152)) % 16.21/16.61 (define @t235 () (forall @t228 @t159)) % 16.21/16.61 (define @t236 () (forall @t228 @t160)) % 16.21/16.61 (define @t237 () (and @t236 @t235)) % 16.21/16.61 (define @t238 () (forall @t228 @t161)) % 16.21/16.61 (define @t239 () (or @t108 @t238 @t151 @t150 @t148)) % 16.21/16.61 (define @t240 () (not @t88)) % 16.21/16.61 (define @t241 () (not @t89)) % 16.21/16.61 (define @t242 () (or @t107 @t241 @t240)) % 16.21/16.61 (define @t243 () (forall @t26 @t242)) % 16.21/16.61 (define @t244 () (not @t243)) % 16.21/16.61 (define @t245 () (or @t72 @t244)) % 16.21/16.61 (define @t246 () (and @t245 @t87)) % 16.21/16.61 (define @t247 () (or @t94 @t246)) % 16.21/16.61 (define @t248 () (not @t247)) % 16.21/16.61 (define @t249 () (or @t108 @t248 @t151 @t150 @t148)) % 16.21/16.61 (define @t250 () (and @t6 @t247 @t86 @t149 @t82)) % 16.21/16.61 (define @t251 () (forall @t9 (not @t250))) % 16.21/16.61 (define @t252 () (not @t251)) % 16.21/16.61 (define @t253 () (forall @t26 (not @t90))) % 16.21/16.61 (define @t254 () (not @t253)) % 16.21/16.61 (define @t255 () (forall @t129 (not (tptp.aNormalFormOfIn0 @t128 @t173 tptp.xR)))) % 16.21/16.61 (define @t256 () (not @t255)) % 16.21/16.61 (define @t257 () (not (tptp.sdtmndtasgtdt0 @t173 tptp.xR @t132))) % 16.21/16.61 (define @t258 () (not (tptp.sdtmndtplgtdt0 @t173 tptp.xR @t132))) % 16.21/16.61 (define @t259 () (or @t138 (not (tptp.aReductOfIn0 @t136 @t173 tptp.xR)) @t137)) % 16.21/16.61 (define @t260 () (not (tptp.aReductOfIn0 @t132 @t173 tptp.xR))) % 16.21/16.61 (define @t261 () (forall @t145 (or @t143 (and (not (= @t132 @t173)) @t260 @t259 @t258 @t257) @t133))) % 16.21/16.61 (define @t262 () (not @t261)) % 16.21/16.61 (define @t263 () (forall @t80 (or @t167 (not (tptp.iLess0 @t7 @t173)) @t165))) % 16.21/16.61 (define @t264 () (not @t263)) % 16.21/16.61 (define @t265 () (tptp.aElement0 @t173)) % 16.21/16.61 (define @t266 () (not @t265)) % 16.21/16.61 (define @t267 () (or @t266 @t264 @t262 @t256)) % 16.21/16.61 (define @t268 () (not @t267)) % 16.21/16.61 (define @t269 () (not @t172)) % 16.21/16.61 (define @t270 () (not (= @t173 @t132))) % 16.21/16.61 (define @t271 () (and @t270 @t260 @t259 @t258 @t257)) % 16.21/16.61 (define @t272 () (or @t143 @t271 @t133)) % 16.21/16.61 (define @t273 () (forall @t145 @t272)) % 16.21/16.61 (define @t274 () (not @t273)) % 16.21/16.61 (define @t275 () (or @t266 @t264 @t274 @t256)) % 16.21/16.61 (define @t276 () (not @t275)) % 16.21/16.61 (define @t277 () (@list true)) % 16.21/16.61 (define @t278 () (@list @t267)) % 16.21/16.61 (define @t279 () (forall @t26 (not (tptp.aReductOfIn0 @t21 @t183 tptp.xR)))) % 16.21/16.61 (define @t280 () (tptp.sdtmndtasgtdt0 @t173 tptp.xR @t183)) % 16.21/16.61 (define @t281 () (tptp.aElement0 @t183)) % 16.21/16.61 (define @t282 () (and @t281 @t280 @t279)) % 16.21/16.61 (define @t283 () (tptp.aNormalFormOfIn0 @t183 @t173 tptp.xR)) % 16.21/16.61 (define @t284 () (= @t283 @t282)) % 16.21/16.61 (define @t285 () (not @t70)) % 16.21/16.61 (define @t286 () (or @t266 @t285 @t284)) % 16.21/16.61 (define @t287 () (@list false false false)) % 16.21/16.61 (define @t288 () (not @t282)) % 16.21/16.61 (define @t289 () (@list true false)) % 16.21/16.61 (define @t290 () (not (= @t178 @t5))) % 16.21/16.61 (define @t291 () (and @t290 @t181)) % 16.21/16.61 (define @t292 () (or @t108 @t291 @t180 @t150 @t179)) % 16.21/16.61 (define @t293 () (forall @t163 @t292)) % 16.21/16.61 (define @t294 () (not @t293)) % 16.21/16.61 (define @t295 () (tptp.iLess0 @t178 @t173)) % 16.21/16.61 (define @t296 () (not @t295)) % 16.21/16.61 (define @t297 () (tptp.aElement0 @t178)) % 16.21/16.61 (define @t298 () (not @t297)) % 16.21/16.61 (define @t299 () (or @t298 @t296 @t294)) % 16.21/16.61 (define @t300 () (not @t182)) % 16.21/16.61 (define @t301 () (or @t298 @t296 @t300)) % 16.21/16.61 (define @t302 () (@list false)) % 16.21/16.61 (define @t303 () (@var "BOUND_VARIABLE_7747" $$unsorted)) % 16.21/16.61 (define @t304 () (or (not (tptp.aElement0 @t303)) (not (tptp.aReductOfIn0 @t303 @t1 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t303 tptp.xR @t7)))) % 16.21/16.61 (define @t305 () (and @t210 @t304 @t206)) % 16.21/16.61 (define @t306 () (or @t110 @t167 @t305 @t59)) % 16.21/16.61 (define @t307 () (@list @t303)) % 16.21/16.61 (define @t308 () (forall @t307 @t306)) % 16.21/16.61 (define @t309 () (forall @t307 @t206)) % 16.21/16.61 (define @t310 () (forall @t307 @t304)) % 16.21/16.61 (define @t311 () (forall @t307 @t210)) % 16.21/16.61 (define @t312 () (and @t311 @t310 @t309)) % 16.21/16.61 (define @t313 () (forall @t307 @t305)) % 16.21/16.61 (define @t314 () (or @t110 @t167 @t313 @t59)) % 16.21/16.61 (define @t315 () (and @t210 @t209 @t206)) % 16.21/16.61 (define @t316 () (or @t110 @t167 @t315 @t59)) % 16.21/16.61 (define @t317 () (and @t210 @t216 @t206)) % 16.21/16.61 (define @t318 () (or @t65 @t215 @t60)) % 16.21/16.61 (define @t319 () (=> @t318 @t59)) % 16.21/16.61 (define @t320 () (not @t22)) % 16.21/16.61 (define @t321 () (not @t23)) % 16.21/16.61 (define @t322 () (or @t107 @t321 @t320)) % 16.21/16.61 (define @t323 () (= @t18 (or @t8 (not (forall @t26 @t322))))) % 16.21/16.61 (define @t324 () (or @t110 @t109 @t108)) % 16.21/16.61 (define @t325 () (not @t19)) % 16.21/16.61 (define @t326 () (forall @t26 (not @t25))) % 16.21/16.61 (define @t327 () (not @t326)) % 16.21/16.61 (define @t328 () (@list @t176 tptp.xR @t178)) % 16.21/16.61 (define @t329 () (@var "BOUND_VARIABLE_7592" $$unsorted)) % 16.21/16.61 (define @t330 () (tptp.aElement0 @t329)) % 16.21/16.61 (define @t331 () (not (tptp.aReductOfIn0 @t329 @t1 @t7))) % 16.21/16.61 (define @t332 () (or @t331 @t330)) % 16.21/16.61 (define @t333 () (or @t110 @t109 @t332)) % 16.21/16.61 (define @t334 () (forall (@list @t1 @t7 @t329) @t333)) % 16.21/16.61 (define @t335 () (@list @t329)) % 16.21/16.61 (define @t336 () (forall @t335 @t333)) % 16.21/16.61 (define @t337 () (forall @t335 @t332)) % 16.21/16.61 (define @t338 () (or @t110 @t109 @t337)) % 16.21/16.61 (define @t339 () (forall @t9 (or (not @t8) @t6))) % 16.21/16.61 (define @t340 () (or @t110 @t109 @t339)) % 16.21/16.61 (define @t341 () (not @t177)) % 16.21/16.61 (define @t342 () (not (tptp.sdtmndtasgtdt0 @t173 tptp.xR @t176))) % 16.21/16.61 (define @t343 () (tptp.sdtmndtplgtdt0 @t173 tptp.xR @t176)) % 16.21/16.61 (define @t344 () (not @t343)) % 16.21/16.61 (define @t345 () (or (not (tptp.aElement0 tptp.xR)) (not (tptp.aReductOfIn0 tptp.xR @t173 tptp.xR)) (not (tptp.sdtmndtplgtdt0 tptp.xR tptp.xR @t176)))) % 16.21/16.61 (define @t346 () (tptp.aReductOfIn0 @t176 @t173 tptp.xR)) % 16.21/16.61 (define @t347 () (not @t346)) % 16.21/16.61 (define @t348 () (not (= @t176 @t173))) % 16.21/16.61 (define @t349 () (and @t348 @t347 @t345 @t344 @t342)) % 16.21/16.61 (define @t350 () (tptp.aElement0 @t176)) % 16.21/16.61 (define @t351 () (not @t350)) % 16.21/16.61 (define @t352 () (or @t351 @t349 @t341)) % 16.21/16.61 (define @t353 () (and (not (= @t173 @t176)) @t347 @t345 @t344 @t342)) % 16.21/16.61 (define @t354 () (or @t351 @t353 @t341)) % 16.21/16.61 (define @t355 () (@list @t173 tptp.xR @t173)) % 16.21/16.61 (define @t356 () (tptp.sdtmndtasgtdt0 @t173 tptp.xR @t173)) % 16.21/16.61 (define @t357 () (and @t265 @t356 @t175)) % 16.21/16.61 (define @t358 () (tptp.aNormalFormOfIn0 @t173 @t173 tptp.xR)) % 16.21/16.61 (define @t359 () (= @t358 @t357)) % 16.21/16.61 (define @t360 () (or @t266 @t285 @t359)) % 16.21/16.61 (define @t361 () (not @t357)) % 16.21/16.61 (define @t362 () (or @t110 @t109 @t108 @t40)) % 16.21/16.61 (define @t363 () (tptp.sdtmndtplgtdt0 @t173 tptp.xR @t173)) % 16.21/16.61 (define @t364 () (or (= @t173 @t173) @t363)) % 16.21/16.61 (define @t365 () (= @t356 @t364)) % 16.21/16.61 (define @t366 () (or @t266 @t285 @t266 @t365)) % 16.21/16.61 (define @t367 () (forall @t20 @t362)) % 16.21/16.61 (define @t368 () (or @t266 @t285 @t266 @t356)) % 16.21/16.61 (define @t369 () (not @t175)) % 16.21/16.61 (define @t370 () (@list false false true)) % 16.21/16.61 (define @t371 () (not @t347)) % 16.21/16.61 (define @t372 () (not @t353)) % 16.21/16.61 (define @t373 () (@list @t346)) % 16.21/16.61 (define @t374 () (@list @t173 tptp.xR @t176)) % 16.21/16.61 (define @t375 () (or @t266 @t285 @t347 @t350)) % 16.21/16.61 (define @t376 () (@list false false false false)) % 16.21/16.61 (define @t377 () (tptp.aReductOfIn0 @t178 @t176 tptp.xR)) % 16.21/16.61 (define @t378 () (not @t377)) % 16.21/16.61 (define @t379 () (not @t378)) % 16.21/16.61 (define @t380 () (or @t351 @t285 @t378 @t297)) % 16.21/16.61 (define @t381 () (or @t377 (not (forall @t26 (or @t107 (not (tptp.aReductOfIn0 @t21 @t176 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t21 tptp.xR @t178))))))) % 16.21/16.61 (define @t382 () (tptp.sdtmndtplgtdt0 @t176 tptp.xR @t178)) % 16.21/16.61 (define @t383 () (= @t382 @t381)) % 16.21/16.61 (define @t384 () (or @t351 @t285 @t298 @t383)) % 16.21/16.61 (define @t385 () (@list false false)) % 16.21/16.61 (define @t386 () (not @t382)) % 16.21/16.61 (define @t387 () (or @t351 @t347 @t386)) % 16.21/16.61 (define @t388 () (not @t387)) % 16.21/16.61 (define @t389 () (tptp.sdtmndtplgtdt0 @t173 tptp.xR @t178)) % 16.21/16.61 (define @t390 () (not @t389)) % 16.21/16.61 (define @t391 () (and (not (tptp.aReductOfIn0 @t178 @t173 tptp.xR)) @t387 @t390)) % 16.21/16.61 (define @t392 () (not @t391)) % 16.21/16.61 (define @t393 () (or @t266 @t298 @t391 @t295)) % 16.21/16.61 (define @t394 () (not (tptp.aNormalFormOfIn0 @t183 @t178 tptp.xR))) % 16.21/16.61 (define @t395 () (not @t279)) % 16.21/16.61 (define @t396 () (tptp.sdtmndtasgtdt0 @t178 tptp.xR @t183)) % 16.21/16.61 (define @t397 () (not @t396)) % 16.21/16.61 (define @t398 () (@quantifiers_skolemize @t182 1)) % 16.21/16.61 (define @t399 () (or (and (not (tptp.aReductOfIn0 @t183 @t178 tptp.xR)) (or (not (tptp.aElement0 @t398)) (not (tptp.aReductOfIn0 @t398 @t178 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t398 tptp.xR @t183)))) (not (tptp.sdtmndtplgtdt0 @t178 tptp.xR @t183)))) % 16.21/16.61 (define @t400 () (not @t281)) % 16.21/16.61 (define @t401 () (or @t400 (and (not (= @t178 @t183)) @t399) @t397 @t395 @t394)) % 16.21/16.61 (define @t402 () (not @t401)) % 16.21/16.61 (define @t403 () (not (= @t183 @t178))) % 16.21/16.61 (define @t404 () (and @t403 @t399)) % 16.21/16.61 (define @t405 () (or @t400 @t404 @t397 @t395 @t394)) % 16.21/16.61 (define @t406 () (not @t405)) % 16.21/16.61 (define @t407 () (@list @t401)) % 16.21/16.61 (define @t408 () (not @t280)) % 16.21/16.61 (define @t409 () (or (= @t173 @t178) @t389)) % 16.21/16.61 (define @t410 () (tptp.sdtmndtasgtdt0 @t173 tptp.xR @t178)) % 16.21/16.61 (define @t411 () (= @t410 @t409)) % 16.21/16.61 (define @t412 () (or @t266 @t285 @t298 @t411)) % 16.21/16.61 (define @t413 () (not @t33)) % 16.21/16.61 (define @t414 () (not @t18)) % 16.21/16.61 (define @t415 () (or @t414 @t413 @t32)) % 16.21/16.61 (define @t416 () (or @t346 (not (forall @t26 (or @t107 @t174 (not (tptp.sdtmndtplgtdt0 @t21 tptp.xR @t176))))))) % 16.21/16.61 (define @t417 () (= @t343 @t416)) % 16.21/16.61 (define @t418 () (or @t266 @t285 @t351 @t417)) % 16.21/16.61 (define @t419 () (or @t266 @t285 @t351 @t298 @t344 @t386 @t389)) % 16.21/16.61 (define @t420 () (not @t410)) % 16.21/16.61 (define @t421 () (or @t266 @t285 @t298 @t400 @t420 @t397 @t280)) % 16.21/16.61 (define @t422 () (not @t421)) % 16.21/16.61 (define @t423 () (forall @t37 @t111)) % 16.21/16.61 (assume @p1 (forall @t3 (=> @t2 true))) % 16.21/16.61 (assume @p2 (forall @t3 (=> @t4 true))) % 16.21/16.61 (assume @p3 @t15) % 16.21/16.61 (assume @p4 (forall @t14 (=> @t17 (=> (tptp.iLess0 @t1 @t7) true)))) % 16.21/16.61 (assume @p5 (forall @t20 (=> @t19 (=> @t18 true)))) % 16.21/16.61 (assume @p6 @t31) % 16.21/16.61 (assume @p7 @t38) % 16.21/16.61 (assume @p8 @t41) % 16.21/16.61 (assume @p9 @t46) % 16.21/16.61 (assume @p10 (forall @t3 (=> @t4 (= (tptp.isConfluent0 @t1) (forall @t49 (=> (and @t16 @t6 @t24 (tptp.sdtmndtasgtdt0 @t7 @t1 @t5) (tptp.sdtmndtasgtdt0 @t7 @t1 @t21)) @t48)))))) % 16.21/16.61 (assume @p11 (forall @t3 (=> @t4 (= (tptp.isLocallyConfluent0 @t1) (forall @t49 (=> (and @t16 @t6 @t24 (tptp.aReductOfIn0 @t5 @t7 @t1) (tptp.aReductOfIn0 @t21 @t7 @t1)) @t48)))))) % 16.21/16.61 (assume @p12 (forall @t3 (=> @t4 (= (tptp.isTerminating0 @t1) (forall (@list @t7 @t5) (=> (and @t16 @t6) (=> (tptp.sdtmndtplgtdt0 @t7 @t1 @t5) (tptp.iLess0 @t5 @t7)))))))) % 16.21/16.61 (assume @p13 @t58) % 16.21/16.61 (assume @p14 (and @t70 @t69 (tptp.isTerminating0 tptp.xR))) % 16.21/16.61 (assume @p15 @t104) % 16.21/16.61 (assume @p16 true) % 16.21/16.61 (step @p17 :rule aci_norm :args ((= (or @t113 @t112) @t111))) % 16.21/16.61 (step @p18 :rule aci_norm :args ((= (or (or @t106 @t105) @t42) @t112))) % 16.21/16.61 (step @p19 :rule refl :args (@t42)) % 16.21/16.61 (step @p20 :rule bool-and-de-morgan :args (@t39 @t43 true)) % 16.21/16.61 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or (not @t44) @t42))) % 16.21/16.61 (step @p22 :rule trans :premises (@p21 @p18)) % 16.21/16.61 (step @p23 :rule bool-impl-elim :args (@t44 @t42)) % 16.21/16.61 (step @p24 :rule trans :premises (@p23 @p22)) % 16.21/16.61 (step @p25 :rule aci_norm :args ((= (or @t110 (or @t109 (or @t108 @t107))) @t113))) % 16.21/16.61 (step @p26 :rule bool-and-de-morgan :args (@t6 @t24 true)) % 16.21/16.61 (step @p27 :rule refl :args (@t109)) % 16.21/16.61 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t109 (not (and @t6 @t24))))) % 16.21/16.61 (step @p29 :rule bool-and-de-morgan :args (@t11 @t6 (and @t24))) % 16.21/16.61 (step @p30 :rule trans :premises (@p29 @p28)) % 16.21/16.61 (step @p31 :rule refl :args (@t110)) % 16.21/16.61 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t110 (not (and @t11 @t6 @t24))))) % 16.21/16.61 (step @p33 :rule bool-and-de-morgan :args (@t2 @t11 (and @t6 @t24))) % 16.21/16.61 (step @p34 :rule trans :premises (@p33 @p32)) % 16.21/16.61 (step @p35 :rule trans :premises (@p34 @p25)) % 16.21/16.61 (step @p36 :rule nary_cong :premises (@p35 @p24) :args ((or @t114 @t45))) % 16.21/16.61 (step @p37 :rule trans :premises (@p36 @p17)) % 16.21/16.61 (step @p38 :rule bool-impl-elim :args (@t36 @t45)) % 16.21/16.61 (step @p39 :rule trans :premises (@p38 @p37)) % 16.21/16.61 (step @p40 :rule cong :premises (@p39) :args (@t46)) % 16.21/16.61 (step @p41 :rule eq_resolve :premises (@p9 @p40)) % 16.21/16.61 (step @p42 :rule quant-merge-prenex :args ((= (forall @t14 @t119) (forall (@list @t1 @t7 @t115) @t117)))) % 16.21/16.61 (step @p43 :rule alpha_equiv :args (@t120 (@list @t115) @t121)) % 16.21/16.61 (step @p44 :rule nary_cong :premises (@p31 @p27 @p43) :args (@t122)) % 16.21/16.61 (step @p45 :rule quant-miniscope-or :args ((= @t119 @t122))) % 16.21/16.61 (step @p46 :rule trans :premises (@p45 @p44)) % 16.21/16.61 (step @p47 :rule symm :premises (@p46)) % 16.21/16.61 (step @p48 :rule cong :premises (@p47) :args ((forall @t14 @t125))) % 16.21/16.61 (step @p49 :rule trans :premises (@p48 @p42)) % 16.21/16.61 (step @p50 :rule aci_norm :args ((= (or @t126 @t124) @t125))) % 16.21/16.61 (step @p51 :rule refl :args (@t124)) % 16.21/16.61 (step @p52 :rule bool-and-de-morgan :args (@t2 @t11 true)) % 16.21/16.61 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t127 @t124))) % 16.21/16.61 (step @p54 :rule trans :premises (@p53 @p50)) % 16.21/16.61 (step @p55 :rule bool-impl-elim :args (@t12 @t124)) % 16.21/16.61 (step @p56 :rule trans :premises (@p55 @p54)) % 16.21/16.61 (step @p57 :rule cong :premises (@p56) :args ((forall @t14 (=> @t12 @t124)))) % 16.21/16.61 (step @p58 :rule trans :premises (@p57 @p49)) % 16.21/16.61 (step @p59 :rule bool-double-not-elim :args (@t123)) % 16.21/16.61 (step @p60 :rule exists-elim :args ((= @t51 (not @t123)))) % 16.21/16.61 (step @p61 :rule cong :premises (@p60) :args (@t52)) % 16.21/16.61 (step @p62 :rule trans :premises (@p61 @p59)) % 16.21/16.61 (step @p63 :rule 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(@t366)) % 16.21/16.61 (step @p517 :rule eq_resolve :premises (@p515 @p512)) % 16.21/16.61 (step @p518 :rule implies_elim :premises (@p517)) % 16.21/16.61 (step @p519 :rule chain_m_resolution :premises (@p518 @p499) :args (@t368 @t302 (@list @t367))) % 16.21/16.61 (step @p520 :rule cnf_or_pos :args (@t368)) % 16.21/16.61 (step @p521 :rule factoring :premises (@p520)) % 16.21/16.61 (step @p522 :rule reordering :premises (@p521) :args ((or @t285 @t266 @t356 (not @t368)))) % 16.21/16.61 (step @p523 :rule chain_m_resolution :premises (@p522 @p315 @p314 @p519) :args (@t356 @t287 (@list @t70 @t265 @t368))) % 16.21/16.61 (step @p524 :rule cnf_and_neg :args (@t357)) % 16.21/16.61 (step @p525 :rule reordering :premises (@p524) :args ((or @t266 (not @t356) @t357 @t369))) % 16.21/16.61 (step @p526 :rule chain_m_resolution :premises (@p525 @p314 @p523 @p491) :args (@t369 @t370 (@list @t265 @t356 @t357))) % 16.21/16.61 (step @p527 :rule refl :args (@t346)) % 16.21/16.61 (step @p528 :rule bool-double-not-elim :args (@t175)) % 16.21/16.61 (step @p529 :rule nary_cong :premises (@p528 @p527) :args ((or (not @t369) @t346))) % 16.21/16.61 (step @p530 :rule bool-double-not-elim :args (@t346)) % 16.21/16.61 (step @p531 :rule refl :args (@t369)) % 16.21/16.61 (step @p532 :rule cong :premises (@p531 @p530) :args ((=> @t369 @t371))) % 16.21/16.61 (assume-push @p688 @t369) % 16.21/16.61 (step @p534 :rule skolemize :premises (@p526)) % 16.21/16.61 (step-pop @p689 :rule scope :premises (@p534)) % 16.21/16.61 (step @p535 :rule process_scope :premises (@p689) :args (@t371)) % 16.21/16.61 (step @p537 :rule eq_resolve :premises (@p535 @p532)) % 16.21/16.61 (step @p538 :rule implies_elim :premises (@p537)) % 16.21/16.61 (step @p539 :rule eq_resolve :premises (@p538 @p529)) % 16.21/16.61 (step @p540 :rule chain_m_resolution :premises (@p539 @p526) :args (@t346 @t277 (@list @t175))) % 16.21/16.61 (step @p541 :rule cnf_and_pos :args (@t353 1)) % 16.21/16.61 (step @p542 :rule reordering :premises (@p541) :args ((or @t347 @t372))) % 16.21/16.61 (step @p543 :rule chain_m_resolution :premises (@p542 @p540) :args (@t372 @t302 @t373)) % 16.21/16.61 (step @p544 :rule instantiate :premises (@p457) :args (@t374)) % 16.21/16.61 (step @p545 :rule cnf_or_pos :args (@t375)) % 16.21/16.61 (step @p546 :rule reordering :premises (@p545) :args ((or @t285 @t266 @t347 @t350 (not @t375)))) % 16.21/16.61 (step @p547 :rule chain_m_resolution :premises (@p546 @p315 @p314 @p540 @p544) :args (@t350 @t376 (@list @t70 @t265 @t346 @t375))) % 16.21/16.61 (step @p548 :rule cnf_or_pos :args (@t354)) % 16.21/16.61 (step @p549 :rule reordering :premises (@p548) :args ((or @t351 @t341 @t353 (not @t354)))) % 16.21/16.61 (step @p550 :rule chain_m_resolution :premises (@p549 @p547 @p543 @p483) :args (@t341 (@list false true false) (@list @t350 @t353 @t354))) % 16.21/16.61 (step @p551 :rule refl :args (@t377)) % 16.21/16.61 (step @p552 :rule bool-double-not-elim :args (@t177)) % 16.21/16.61 (step @p553 :rule nary_cong :premises (@p552 @p551) :args ((or (not @t341) @t377))) % 16.21/16.61 (step @p554 :rule bool-double-not-elim :args (@t377)) % 16.21/16.61 (step @p555 :rule cong :premises (@p465 @p554) :args ((=> @t341 @t379))) % 16.21/16.61 (assume-push @p690 @t341) % 16.21/16.61 (step @p557 :rule skolemize :premises (@p550)) % 16.21/16.61 (step-pop @p691 :rule scope :premises (@p557)) % 16.21/16.61 (step @p558 :rule process_scope :premises (@p691) :args (@t379)) % 16.21/16.61 (step @p560 :rule eq_resolve :premises (@p558 @p555)) % 16.21/16.61 (step @p561 :rule implies_elim :premises (@p560)) % 16.21/16.61 (step @p562 :rule eq_resolve :premises (@p561 @p553)) % 16.21/16.61 (step @p563 :rule chain_m_resolution :premises (@p562 @p550) :args (@t377 @t277 (@list @t177))) % 16.21/16.61 (step @p564 :rule cnf_or_pos :args (@t380)) % 16.21/16.61 (step @p565 :rule reordering :premises (@p564) :args ((or @t285 @t351 @t378 @t297 (not @t380)))) % 16.21/16.61 (step @p566 :rule chain_m_resolution :premises (@p565 @p315 @p547 @p563 @p458) :args (@t297 @t376 (@list @t70 @t350 @t377 @t380))) % 16.21/16.61 (step @p567 :rule cnf_or_pos :args (@t384)) % 16.21/16.61 (step @p568 :rule reordering :premises (@p567) :args ((or @t285 @t351 @t298 @t383 (not @t384)))) % 16.21/16.61 (step @p569 :rule chain_m_resolution :premises (@p568 @p315 @p547 @p566 @p432) :args (@t383 @t376 (@list @t70 @t350 @t297 @t384))) % 16.21/16.61 (step @p570 :rule cnf_or_neg :args (@t381 0)) % 16.21/16.61 (step @p571 :rule reordering :premises (@p570) :args ((or @t378 @t381))) % 16.21/16.61 (step @p572 :rule chain_m_resolution :premises (@p571 @p563) :args (@t381 @t302 (@list @t377))) % 16.21/16.61 (step @p573 :rule cnf_equiv_pos2 :args (@t383)) % 16.21/16.61 (step @p574 :rule reordering :premises (@p573) :args ((or @t382 (not @t381) (not @t383)))) % 16.21/16.61 (step @p575 :rule chain_m_resolution :premises (@p574 @p572 @p569) :args (@t382 @t385 (@list @t381 @t383))) % 16.21/16.61 (step @p576 :rule cnf_or_pos :args (@t387)) % 16.21/16.61 (step @p577 :rule reordering :premises (@p576) :args ((or @t347 @t351 @t386 @t388))) % 16.21/16.61 (step @p578 :rule chain_m_resolution :premises (@p577 @p540 @p547 @p575) :args (@t388 @t287 (@list @t346 @t350 @t382))) % 16.21/16.61 (step @p579 :rule cnf_and_pos :args (@t391 1)) % 16.21/16.61 (step @p580 :rule reordering :premises (@p579) :args ((or @t387 @t392))) % 16.21/16.61 (step @p581 :rule chain_m_resolution :premises (@p580 @p578) :args (@t392 @t277 (@list @t387))) % 16.21/16.61 (step @p582 :rule cnf_or_pos :args (@t393)) % 16.21/16.61 (step @p583 :rule reordering :premises (@p582) :args ((or @t266 @t298 @t295 @t391 (not @t393)))) % 16.21/16.61 (step @p584 :rule chain_m_resolution :premises (@p583 @p314 @p566 @p581 @p399) :args (@t295 (@list false false true false) (@list @t265 @t297 @t391 @t393))) % 16.21/16.61 (step @p585 :rule cnf_or_pos :args (@t301)) % 16.21/16.61 (step @p586 :rule reordering :premises (@p585) :args ((or @t298 @t296 @t300 (not @t301)))) % 16.21/16.61 (step @p587 :rule chain_m_resolution :premises (@p586 @p566 @p584 @p357) :args (@t300 @t287 (@list @t297 @t295 @t301))) % 16.21/16.61 (step @p588 :rule refl :args (@t402)) % 16.21/16.61 (step @p589 :rule bool-double-not-elim :args (@t182)) % 16.21/16.61 (step @p590 :rule nary_cong :premises (@p589 @p588) :args ((or (not @t300) @t402))) % 16.21/16.61 (step @p591 :rule refl :args (@t394)) % 16.21/16.61 (step @p592 :rule refl :args (@t395)) % 16.21/16.61 (step @p593 :rule refl :args (@t397)) % 16.21/16.61 (step @p594 :rule refl :args (@t399)) % 16.21/16.61 (step @p595 :rule eq-symm :args (@t183 @t178)) % 16.21/16.61 (step @p596 :rule cong :premises (@p595) :args (@t403)) % 16.21/16.61 (step @p597 :rule nary_cong :premises (@p596 @p594) :args (@t404)) % 16.21/16.61 (step @p598 :rule refl :args (@t400)) % 16.21/16.61 (step @p599 :rule nary_cong :premises (@p598 @p597 @p593 @p592 @p591) :args (@t405)) % 16.21/16.61 (step @p600 :rule cong :premises (@p599) :args (@t406)) % 16.21/16.61 (step @p601 :rule refl :args (@t300)) % 16.21/16.61 (step @p602 :rule cong :premises (@p601 @p600) :args ((=> @t300 @t406))) % 16.21/16.61 (assume-push @p692 @t300) % 16.21/16.61 (step @p604 :rule skolemize :premises (@p587)) % 16.21/16.61 (step-pop @p693 :rule scope :premises (@p604)) % 16.21/16.61 (step @p605 :rule process_scope :premises (@p693) :args (@t406)) % 16.21/16.61 (step @p607 :rule eq_resolve :premises (@p605 @p602)) % 16.21/16.61 (step @p608 :rule implies_elim :premises (@p607)) % 16.21/16.61 (step @p609 :rule eq_resolve :premises (@p608 @p590)) % 16.21/16.61 (step @p610 :rule chain_m_resolution :premises (@p609 @p587) :args (@t402 @t277 (@list @t182))) % 16.21/16.61 (step @p611 :rule bool-double-not-elim :args (@t279)) % 16.21/16.61 (step @p612 :rule refl :args (@t401)) % 16.21/16.61 (step @p613 :rule nary_cong :premises (@p612 @p611) :args ((or @t401 (not @t395)))) % 16.21/16.61 (step @p614 :rule cnf_or_neg :args (@t401 3)) % 16.21/16.61 (step @p615 :rule eq_resolve :premises (@p614 @p613)) % 16.21/16.61 (step @p616 :rule reordering :premises (@p615) :args ((or @t279 @t401))) % 16.21/16.61 (step @p617 :rule chain_m_resolution :premises (@p616 @p610) :args (@t279 @t277 @t407)) % 16.21/16.61 (step @p618 :rule bool-double-not-elim :args (@t281)) % 16.21/16.61 (step @p619 :rule nary_cong :premises (@p612 @p618) :args ((or @t401 (not @t400)))) % 16.21/16.61 (step @p620 :rule cnf_or_neg :args (@t401 0)) % 16.21/16.61 (step @p621 :rule eq_resolve :premises (@p620 @p619)) % 16.21/16.61 (step @p622 :rule reordering :premises (@p621) :args ((or @t281 @t401))) % 16.21/16.61 (step @p623 :rule chain_m_resolution :premises (@p622 @p610) :args (@t281 @t277 @t407)) % 16.21/16.61 (step @p624 :rule cnf_and_neg :args (@t282)) % 16.21/16.61 (step @p625 :rule reordering :premises (@p624) :args ((or @t400 @t395 @t408 @t282))) % 16.21/16.61 (step @p626 :rule chain_m_resolution :premises (@p625 @p623 @p617 @p328) :args (@t408 @t370 (@list @t281 @t279 @t282))) % 16.21/16.61 (step @p627 :rule bool-double-not-elim :args (@t396)) % 16.21/16.61 (step @p628 :rule nary_cong :premises (@p612 @p627) :args ((or @t401 (not @t397)))) % 16.21/16.61 (step @p629 :rule cnf_or_neg :args (@t401 2)) % 16.21/16.61 (step @p630 :rule eq_resolve :premises (@p629 @p628)) % 16.21/16.61 (step @p631 :rule reordering :premises (@p630) :args ((or @t396 @t401))) % 16.21/16.61 (step @p632 :rule chain_m_resolution :premises (@p631 @p610) :args (@t396 @t277 @t407)) % 16.21/16.61 (step @p633 :rule instantiate :premises (@p499) :args ((@list @t173 tptp.xR @t178))) % 16.21/16.61 (step @p634 :rule cnf_or_pos :args (@t412)) % 16.21/16.61 (step @p635 :rule reordering :premises (@p634) :args ((or @t285 @t266 @t298 @t411 (not @t412)))) % 16.21/16.61 (step @p636 :rule chain_m_resolution :premises (@p635 @p315 @p314 @p566 @p633) :args (@t411 @t376 (@list @t70 @t265 @t297 @t412))) % 16.21/16.61 (step @p637 :rule aci_norm :args ((= (or @t113 @t415) (or @t110 @t109 @t108 @t107 @t414 @t413 @t32)))) % 16.21/16.61 (step @p638 :rule aci_norm :args ((= (or (or @t414 @t413) @t32) @t415))) % 16.21/16.61 (step @p639 :rule refl :args (@t32)) % 16.21/16.61 (step @p640 :rule bool-and-de-morgan :args (@t18 @t33 true)) % 16.21/16.61 (step @p641 :rule nary_cong :premises (@p640 @p639) :args ((or (not @t34) @t32))) % 16.21/16.61 (step @p642 :rule trans :premises (@p641 @p638)) % 16.21/16.61 (step @p643 :rule bool-impl-elim :args (@t34 @t32)) % 16.21/16.61 (step @p644 :rule trans :premises (@p643 @p642)) % 16.21/16.61 (step @p645 :rule nary_cong :premises (@p35 @p644) :args ((or @t114 @t35))) % 16.21/16.61 (step @p646 :rule trans :premises (@p645 @p637)) % 16.21/16.61 (step @p647 :rule bool-impl-elim :args (@t36 @t35)) % 16.21/16.61 (step @p648 :rule trans :premises (@p647 @p646)) % 16.21/16.61 (step @p649 :rule cong :premises (@p648) :args (@t38)) % 16.21/16.61 (step @p650 :rule eq_resolve :premises (@p7 @p649)) % 16.21/16.61 (step @p651 :rule instantiate :premises (@p650) :args ((@list @t173 tptp.xR @t176 @t178))) % 16.21/16.61 (step @p652 :rule instantiate :premises (@p431) :args (@t374)) % 16.21/16.61 (step @p653 :rule cnf_or_pos :args (@t418)) % 16.21/16.61 (step @p654 :rule reordering :premises (@p653) :args ((or @t285 @t266 @t351 @t417 (not @t418)))) % 16.21/16.61 (step @p655 :rule chain_m_resolution :premises (@p654 @p315 @p314 @p547 @p652) :args (@t417 @t376 (@list @t70 @t265 @t350 @t418))) % 16.21/16.61 (step @p656 :rule cnf_or_neg :args (@t416 0)) % 16.21/16.61 (step @p657 :rule reordering :premises (@p656) :args ((or @t347 @t416))) % 16.21/16.61 (step @p658 :rule chain_m_resolution :premises (@p657 @p540) :args (@t416 @t302 @t373)) % 16.21/16.61 (step @p659 :rule cnf_equiv_pos2 :args (@t417)) % 16.21/16.61 (step @p660 :rule reordering :premises (@p659) :args ((or @t343 (not @t416) (not @t417)))) % 16.21/16.61 (step @p661 :rule chain_m_resolution :premises (@p660 @p658 @p655) :args (@t343 @t385 (@list @t416 @t417))) % 16.21/16.61 (step @p662 :rule cnf_or_pos :args (@t419)) % 16.21/16.61 (step @p663 :rule reordering :premises (@p662) :args ((or @t285 @t266 @t351 @t344 @t298 @t389 @t386 (not @t419)))) % 16.21/16.61 (step @p664 :rule chain_m_resolution :premises (@p663 @p315 @p314 @p547 @p661 @p566 @p575 @p651) :args (@t389 (@list false false false false false false false) (@list @t70 @t265 @t350 @t343 @t297 @t382 @t419))) % 16.21/16.61 (step @p665 :rule cnf_or_neg :args (@t409 1)) % 16.21/16.61 (step @p666 :rule reordering :premises (@p665) :args ((or @t390 @t409))) % 16.21/16.61 (step @p667 :rule chain_m_resolution :premises (@p666 @p664) :args (@t409 @t302 (@list @t389))) % 16.21/16.61 (step @p668 :rule cnf_equiv_pos2 :args (@t411)) % 16.21/16.61 (step @p669 :rule reordering :premises (@p668) :args ((or @t410 (not @t409) (not @t411)))) % 16.21/16.61 (step @p670 :rule chain_m_resolution :premises (@p669 @p667 @p636) :args (@t410 @t385 (@list @t409 @t411))) % 16.21/16.61 (step @p671 :rule cnf_or_pos :args (@t421)) % 16.21/16.61 (step @p672 :rule reordering :premises (@p671) :args ((or @t285 @t266 @t298 @t420 @t400 @t397 @t280 @t422))) % 16.21/16.61 (step @p673 :rule chain_m_resolution :premises (@p672 @p315 @p314 @p566 @p670 @p623 @p632 @p626) :args (@t422 (@list false false false false false false true) (@list @t70 @t265 @t297 @t410 @t281 @t396 @t280))) % 16.21/16.61 (assume-push @p694 @t423) % 16.21/16.61 (step @p675 :rule instantiate :premises (@p41) :args ((@list @t173 tptp.xR @t178 @t183))) % 16.21/16.61 (step-pop @p695 :rule scope :premises (@p675)) % 16.21/16.61 (step @p676 :rule process_scope :premises (@p695) :args (@t421)) % 16.21/16.61 (step @p678 :rule implies_elim :premises (@p676)) % 16.21/16.61 (step @p679 false :rule chain_m_resolution :premises (@p678 @p673 @p41) :args (false @t289 (@list @t421 @t423))) % 16.21/16.61 ) % 16.21/16.61 % SZS output end Proof % 16.21/16.61 % cvc5 exiting %------------------------------------------------------------------------------