%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM022+4 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:10:26 AM UTC 2026 % Result : Theorem 5.42s 5.62s % Output : Proof 5.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM022+4 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.33 % Computer : n013.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Mon Jun 1 20:28:30 EDT 2026 % 0.14/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 5.42/5.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 5.42/5.62 % SZS status Theorem % 5.42/5.62 % SZS output start Proof % 5.42/5.62 ( % 5.42/5.62 (declare-sort $$unsorted 0) % 5.42/5.62 (declare-const tptp.xa $$unsorted) % 5.42/5.62 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 5.42/5.62 (declare-const tptp.aRewritingSystem0 (-> $$unsorted Bool)) % 5.42/5.62 (declare-const tptp.sdtmndtplgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.42/5.62 (declare-const tptp.sdtmndtasgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.42/5.62 (declare-const tptp.aReductOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.42/5.62 (declare-const tptp.isLocallyConfluent0 (-> $$unsorted Bool)) % 5.42/5.62 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 5.42/5.62 (declare-const tptp.isConfluent0 (-> $$unsorted Bool)) % 5.42/5.62 (declare-const tptp.xR $$unsorted) % 5.42/5.62 (declare-const tptp.isTerminating0 (-> $$unsorted Bool)) % 5.42/5.62 (declare-const tptp.aNormalFormOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 5.42/5.62 (declare-const tptp.xc $$unsorted) % 5.42/5.62 (declare-const tptp.xb $$unsorted) % 5.42/5.62 (define @t1 () (@var "W0" $$unsorted)) % 5.42/5.62 (define @t2 () (tptp.aElement0 @t1)) % 5.42/5.62 (define @t3 () (@list @t1)) % 5.42/5.62 (define @t4 () (tptp.aRewritingSystem0 @t1)) % 5.42/5.62 (define @t5 () (@var "W2" $$unsorted)) % 5.42/5.62 (define @t6 () (tptp.aElement0 @t5)) % 5.42/5.62 (define @t7 () (@var "W1" $$unsorted)) % 5.42/5.62 (define @t8 () (tptp.aReductOfIn0 @t5 @t1 @t7)) % 5.42/5.62 (define @t9 () (@list @t5)) % 5.42/5.62 (define @t10 () (tptp.aRewritingSystem0 @t7)) % 5.42/5.62 (define @t11 () (and @t2 @t10)) % 5.42/5.62 (define @t12 () (@list @t1 @t7)) % 5.42/5.62 (define @t13 () (tptp.aElement0 @t7)) % 5.42/5.62 (define @t14 () (and @t2 @t13)) % 5.42/5.62 (define @t15 () (tptp.sdtmndtplgtdt0 @t1 @t7 @t5)) % 5.42/5.62 (define @t16 () (and @t2 @t10 @t6)) % 5.42/5.62 (define @t17 () (@list @t1 @t7 @t5)) % 5.42/5.62 (define @t18 () (@var "W3" $$unsorted)) % 5.42/5.62 (define @t19 () (tptp.aElement0 @t18)) % 5.42/5.62 (define @t20 () (@list @t18)) % 5.42/5.62 (define @t21 () (and @t2 @t10 @t6 @t19)) % 5.42/5.62 (define @t22 () (@list @t1 @t7 @t5 @t18)) % 5.42/5.62 (define @t23 () (= @t1 @t5)) % 5.42/5.62 (define @t24 () (tptp.sdtmndtasgtdt0 @t1 @t7 @t5)) % 5.42/5.62 (define @t25 () (@var "W4" $$unsorted)) % 5.42/5.62 (define @t26 () (tptp.aElement0 @t25)) % 5.42/5.62 (define @t27 () (@list @t25)) % 5.42/5.62 (define @t28 () (exists @t27 (and @t26 (tptp.sdtmndtasgtdt0 @t5 @t1 @t25) (tptp.sdtmndtasgtdt0 @t18 @t1 @t25)))) % 5.42/5.62 (define @t29 () (@list @t7 @t5 @t18)) % 5.42/5.62 (define @t30 () (tptp.isTerminating0 @t1)) % 5.42/5.62 (define @t31 () (@list @t7)) % 5.42/5.62 (define @t32 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR @t7)) % 5.42/5.62 (define @t33 () (tptp.aReductOfIn0 @t5 @t1 tptp.xR)) % 5.42/5.62 (define @t34 () (tptp.aReductOfIn0 @t7 @t1 tptp.xR)) % 5.42/5.62 (define @t35 () (tptp.sdtmndtasgtdt0 @t5 tptp.xR @t18)) % 5.42/5.62 (define @t36 () (tptp.sdtmndtplgtdt0 @t5 tptp.xR @t18)) % 5.42/5.62 (define @t37 () (tptp.sdtmndtplgtdt0 @t25 tptp.xR @t18)) % 5.42/5.62 (define @t38 () (tptp.aReductOfIn0 @t25 @t5 tptp.xR)) % 5.42/5.62 (define @t39 () (and @t26 @t38 @t37)) % 5.42/5.62 (define @t40 () (exists @t27 @t39)) % 5.42/5.62 (define @t41 () (tptp.aReductOfIn0 @t18 @t5 tptp.xR)) % 5.42/5.62 (define @t42 () (or @t41 @t40)) % 5.42/5.62 (define @t43 () (and @t42 @t36)) % 5.42/5.62 (define @t44 () (= @t5 @t18)) % 5.42/5.62 (define @t45 () (or @t44 @t43)) % 5.42/5.62 (define @t46 () (tptp.aReductOfIn0 @t18 @t7 tptp.xR)) % 5.42/5.62 (define @t47 () (exists @t20 (and @t19 (or (= @t7 @t18) (and (or @t46 (exists @t27 (and @t26 (tptp.aReductOfIn0 @t25 @t7 tptp.xR) @t37))) (tptp.sdtmndtplgtdt0 @t7 tptp.xR @t18))) (tptp.sdtmndtasgtdt0 @t7 tptp.xR @t18) @t45 @t35))) % 5.42/5.62 (define @t48 () (tptp.aElement0 tptp.xc)) % 5.42/5.62 (define @t49 () (tptp.aElement0 tptp.xb)) % 5.42/5.62 (define @t50 () (tptp.aElement0 tptp.xa)) % 5.42/5.62 (define @t51 () (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t5)) % 5.42/5.62 (define @t52 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR @t5)) % 5.42/5.62 (define @t53 () (tptp.sdtmndtplgtdt0 @t18 tptp.xR @t5)) % 5.42/5.62 (define @t54 () (tptp.aReductOfIn0 @t18 @t1 tptp.xR)) % 5.42/5.62 (define @t55 () (and @t19 @t54 @t53)) % 5.42/5.62 (define @t56 () (exists @t20 @t55)) % 5.42/5.62 (define @t57 () (tptp.sdtmndtasgtdt0 tptp.xc tptp.xR @t1)) % 5.42/5.62 (define @t58 () (tptp.sdtmndtplgtdt0 tptp.xc tptp.xR @t1)) % 5.42/5.62 (define @t59 () (tptp.sdtmndtplgtdt0 @t7 tptp.xR @t1)) % 5.42/5.62 (define @t60 () (tptp.aReductOfIn0 @t7 tptp.xc tptp.xR)) % 5.42/5.62 (define @t61 () (and @t13 @t60 @t59)) % 5.42/5.62 (define @t62 () (exists @t31 @t61)) % 5.42/5.62 (define @t63 () (tptp.aReductOfIn0 @t1 tptp.xc tptp.xR)) % 5.42/5.62 (define @t64 () (or (= tptp.xc @t1) @t63 @t62 @t58 @t57)) % 5.42/5.62 (define @t65 () (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR @t1)) % 5.42/5.62 (define @t66 () (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR @t1)) % 5.42/5.62 (define @t67 () (tptp.aReductOfIn0 @t7 tptp.xb tptp.xR)) % 5.42/5.62 (define @t68 () (and @t13 @t67 @t59)) % 5.42/5.62 (define @t69 () (exists @t31 @t68)) % 5.42/5.62 (define @t70 () (tptp.aReductOfIn0 @t1 tptp.xb tptp.xR)) % 5.42/5.62 (define @t71 () (or (= tptp.xb @t1) @t70 @t69 @t66 @t65)) % 5.42/5.62 (define @t72 () (and @t2 @t71 @t64)) % 5.42/5.62 (define @t73 () (exists @t3 @t72)) % 5.42/5.62 (define @t74 () (tptp.sdtmndtasgtdt0 tptp.xa tptp.xR tptp.xc)) % 5.42/5.62 (define @t75 () (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xc)) % 5.42/5.62 (define @t76 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xc)) % 5.42/5.62 (define @t77 () (tptp.aReductOfIn0 @t1 tptp.xa tptp.xR)) % 5.42/5.62 (define @t78 () (and @t2 @t77 @t76)) % 5.42/5.62 (define @t79 () (exists @t3 @t78)) % 5.42/5.62 (define @t80 () (tptp.aReductOfIn0 tptp.xc tptp.xa tptp.xR)) % 5.42/5.62 (define @t81 () (or @t80 @t79)) % 5.42/5.62 (define @t82 () (and @t81 @t75)) % 5.42/5.62 (define @t83 () (= tptp.xa tptp.xc)) % 5.42/5.62 (define @t84 () (or @t83 @t82)) % 5.42/5.62 (define @t85 () (tptp.sdtmndtasgtdt0 tptp.xa tptp.xR tptp.xb)) % 5.42/5.62 (define @t86 () (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xb)) % 5.42/5.62 (define @t87 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xb)) % 5.42/5.62 (define @t88 () (and @t2 @t77 @t87)) % 5.42/5.62 (define @t89 () (exists @t3 @t88)) % 5.42/5.62 (define @t90 () (tptp.aReductOfIn0 tptp.xb tptp.xa tptp.xR)) % 5.42/5.62 (define @t91 () (or @t90 @t89)) % 5.42/5.62 (define @t92 () (and @t91 @t86)) % 5.42/5.62 (define @t93 () (= tptp.xa tptp.xb)) % 5.42/5.62 (define @t94 () (or @t93 @t92)) % 5.42/5.62 (define @t95 () (and @t94 @t85 @t84 @t74)) % 5.42/5.62 (define @t96 () (=> @t95 @t73)) % 5.42/5.62 (define @t97 () (tptp.sdtmndtasgtdt0 tptp.xc tptp.xR @t18)) % 5.42/5.62 (define @t98 () (tptp.sdtmndtplgtdt0 tptp.xc tptp.xR @t18)) % 5.42/5.62 (define @t99 () (tptp.aReductOfIn0 @t25 tptp.xc tptp.xR)) % 5.42/5.62 (define @t100 () (and @t26 @t99 @t37)) % 5.42/5.62 (define @t101 () (exists @t27 @t100)) % 5.42/5.62 (define @t102 () (tptp.aReductOfIn0 @t18 tptp.xc tptp.xR)) % 5.42/5.62 (define @t103 () (or @t102 @t101)) % 5.42/5.62 (define @t104 () (and @t103 @t98)) % 5.42/5.62 (define @t105 () (or (= tptp.xc @t18) @t104)) % 5.42/5.62 (define @t106 () (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR @t18)) % 5.42/5.62 (define @t107 () (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR @t18)) % 5.42/5.62 (define @t108 () (tptp.aReductOfIn0 @t25 tptp.xb tptp.xR)) % 5.42/5.62 (define @t109 () (and @t26 @t108 @t37)) % 5.42/5.62 (define @t110 () (exists @t27 @t109)) % 5.42/5.62 (define @t111 () (tptp.aReductOfIn0 @t18 tptp.xb tptp.xR)) % 5.42/5.62 (define @t112 () (or @t111 @t110)) % 5.42/5.62 (define @t113 () (and @t112 @t107)) % 5.42/5.62 (define @t114 () (or (= tptp.xb @t18) @t113)) % 5.42/5.62 (define @t115 () (tptp.aNormalFormOfIn0 @t18 @t5 tptp.xR)) % 5.42/5.62 (define @t116 () (tptp.aReductOfIn0 @t25 @t18 tptp.xR)) % 5.42/5.62 (define @t117 () (exists @t27 @t116)) % 5.42/5.62 (define @t118 () (not @t117)) % 5.42/5.62 (define @t119 () (and @t19 @t45 @t35 @t118 @t115 @t114 @t106 @t105 @t97)) % 5.42/5.62 (define @t120 () (exists @t20 @t119)) % 5.42/5.62 (define @t121 () (tptp.sdtmndtasgtdt0 @t7 tptp.xR @t5)) % 5.42/5.62 (define @t122 () (tptp.sdtmndtplgtdt0 @t7 tptp.xR @t5)) % 5.42/5.62 (define @t123 () (and @t19 @t46 @t53)) % 5.42/5.62 (define @t124 () (exists @t20 @t123)) % 5.42/5.62 (define @t125 () (tptp.aReductOfIn0 @t5 @t7 tptp.xR)) % 5.42/5.62 (define @t126 () (or @t125 @t124)) % 5.42/5.62 (define @t127 () (and @t126 @t122)) % 5.42/5.62 (define @t128 () (= @t7 @t5)) % 5.42/5.62 (define @t129 () (or @t128 @t127)) % 5.42/5.62 (define @t130 () (or @t33 @t56)) % 5.42/5.62 (define @t131 () (and @t130 @t52)) % 5.42/5.62 (define @t132 () (or @t23 @t131)) % 5.42/5.62 (define @t133 () (and @t6 @t132 @t51 @t129 @t121 @t120)) % 5.42/5.62 (define @t134 () (exists @t9 @t133)) % 5.42/5.62 (define @t135 () (tptp.sdtmndtasgtdt0 @t7 tptp.xR tptp.xc)) % 5.42/5.62 (define @t136 () (tptp.sdtmndtplgtdt0 @t7 tptp.xR tptp.xc)) % 5.42/5.62 (define @t137 () (tptp.sdtmndtplgtdt0 @t5 tptp.xR tptp.xc)) % 5.42/5.62 (define @t138 () (and @t6 @t125 @t137)) % 5.42/5.62 (define @t139 () (exists @t9 @t138)) % 5.42/5.62 (define @t140 () (tptp.aReductOfIn0 tptp.xc @t7 tptp.xR)) % 5.42/5.62 (define @t141 () (or @t140 @t139)) % 5.42/5.62 (define @t142 () (and @t141 @t136)) % 5.42/5.62 (define @t143 () (= @t7 tptp.xc)) % 5.42/5.62 (define @t144 () (or @t143 @t142)) % 5.42/5.62 (define @t145 () (tptp.aReductOfIn0 @t7 tptp.xa tptp.xR)) % 5.42/5.62 (define @t146 () (and @t13 @t145 @t144 @t135 @t134)) % 5.42/5.62 (define @t147 () (exists @t31 @t146)) % 5.42/5.62 (define @t148 () (tptp.sdtmndtasgtdt0 @t1 tptp.xR tptp.xb)) % 5.42/5.62 (define @t149 () (tptp.sdtmndtplgtdt0 @t7 tptp.xR tptp.xb)) % 5.42/5.62 (define @t150 () (and @t13 @t34 @t149)) % 5.42/5.62 (define @t151 () (exists @t31 @t150)) % 5.42/5.62 (define @t152 () (tptp.aReductOfIn0 tptp.xb @t1 tptp.xR)) % 5.42/5.62 (define @t153 () (or @t152 @t151)) % 5.42/5.62 (define @t154 () (and @t153 @t87)) % 5.42/5.62 (define @t155 () (= @t1 tptp.xb)) % 5.42/5.62 (define @t156 () (or @t155 @t154)) % 5.42/5.62 (define @t157 () (and @t2 @t77 @t156 @t148 @t147)) % 5.42/5.62 (define @t158 () (exists @t3 @t157)) % 5.42/5.62 (define @t159 () (or @t80 @t79 @t75)) % 5.42/5.62 (define @t160 () (or @t90 @t89 @t86)) % 5.42/5.62 (define @t161 () (and @t160 @t159)) % 5.42/5.62 (define @t162 () (=> @t161 @t158)) % 5.42/5.62 (define @t163 () (=> @t162 @t96)) % 5.42/5.62 (define @t164 () (not @t163)) % 5.42/5.62 (define @t165 () (not (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xa))) % 5.42/5.62 (define @t166 () (not (tptp.aReductOfIn0 tptp.xa tptp.xc tptp.xR))) % 5.42/5.62 (define @t167 () (not @t50)) % 5.42/5.62 (define @t168 () (not @t83)) % 5.42/5.62 (define @t169 () (and @t168 @t166 (or @t167 @t166 @t165) (not (tptp.sdtmndtplgtdt0 tptp.xc tptp.xR tptp.xa)) (not (tptp.sdtmndtasgtdt0 tptp.xc tptp.xR tptp.xa)))) % 5.42/5.62 (define @t170 () (not @t57)) % 5.42/5.62 (define @t171 () (not @t58)) % 5.42/5.62 (define @t172 () (@var "BOUND_VARIABLE_8731" $$unsorted)) % 5.42/5.62 (define @t173 () (or (not (tptp.aElement0 @t172)) (not (tptp.aReductOfIn0 @t172 tptp.xc tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t172 tptp.xR @t1)))) % 5.42/5.62 (define @t174 () (not @t63)) % 5.42/5.62 (define @t175 () (= @t1 tptp.xc)) % 5.42/5.62 (define @t176 () (not @t175)) % 5.42/5.62 (define @t177 () (and @t176 @t174 @t173 @t171 @t170)) % 5.42/5.62 (define @t178 () (not @t65)) % 5.42/5.62 (define @t179 () (not @t66)) % 5.42/5.62 (define @t180 () (@var "BOUND_VARIABLE_8721" $$unsorted)) % 5.42/5.62 (define @t181 () (or (not (tptp.aElement0 @t180)) (not (tptp.aReductOfIn0 @t180 tptp.xb tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t180 tptp.xR @t1)))) % 5.42/5.62 (define @t182 () (not @t70)) % 5.42/5.62 (define @t183 () (not @t155)) % 5.42/5.62 (define @t184 () (and @t183 @t182 @t181 @t179 @t178)) % 5.42/5.62 (define @t185 () (not @t2)) % 5.42/5.62 (define @t186 () (or @t185 @t184 @t177)) % 5.42/5.62 (define @t187 () (forall (@list @t1 @t180 @t172) @t186)) % 5.42/5.62 (define @t188 () (forall (@list @t180 @t172) @t186)) % 5.42/5.62 (define @t189 () (@list @t172)) % 5.42/5.62 (define @t190 () (forall @t189 @t170)) % 5.42/5.62 (define @t191 () (forall @t189 @t171)) % 5.42/5.62 (define @t192 () (forall @t189 @t173)) % 5.42/5.62 (define @t193 () (@list @t7)) % 5.42/5.62 (define @t194 () (forall @t189 @t174)) % 5.42/5.62 (define @t195 () (forall @t189 @t176)) % 5.42/5.62 (define @t196 () (and @t195 @t194 @t192 @t191 @t190)) % 5.42/5.62 (define @t197 () (forall @t189 @t177)) % 5.42/5.62 (define @t198 () (@list @t180)) % 5.42/5.62 (define @t199 () (forall @t198 @t178)) % 5.42/5.62 (define @t200 () (forall @t198 @t179)) % 5.42/5.62 (define @t201 () (forall @t198 @t181)) % 5.42/5.62 (define @t202 () (forall @t198 @t182)) % 5.42/5.62 (define @t203 () (forall @t198 @t183)) % 5.42/5.62 (define @t204 () (and @t203 @t202 @t201 @t200 @t199)) % 5.42/5.62 (define @t205 () (forall @t198 @t184)) % 5.42/5.62 (define @t206 () (or @t185 @t205 @t197)) % 5.42/5.62 (define @t207 () (not @t59)) % 5.42/5.62 (define @t208 () (not @t60)) % 5.42/5.62 (define @t209 () (not @t13)) % 5.42/5.62 (define @t210 () (or @t209 @t208 @t207)) % 5.42/5.62 (define @t211 () (forall @t31 @t210)) % 5.42/5.62 (define @t212 () (not @t67)) % 5.42/5.62 (define @t213 () (or @t209 @t212 @t207)) % 5.42/5.62 (define @t214 () (forall @t31 @t213)) % 5.42/5.62 (define @t215 () (not @t211)) % 5.42/5.62 (define @t216 () (not @t215)) % 5.42/5.62 (define @t217 () (and @t176 @t174 @t216 @t171 @t170)) % 5.42/5.62 (define @t218 () (not @t214)) % 5.42/5.62 (define @t219 () (not @t218)) % 5.42/5.62 (define @t220 () (and @t183 @t182 @t219 @t179 @t178)) % 5.42/5.62 (define @t221 () (or @t175 @t63 @t215 @t58 @t57)) % 5.42/5.62 (define @t222 () (not @t221)) % 5.42/5.62 (define @t223 () (or @t155 @t70 @t218 @t66 @t65)) % 5.42/5.62 (define @t224 () (not @t223)) % 5.42/5.62 (define @t225 () (or @t185 @t224 @t222)) % 5.42/5.62 (define @t226 () (and @t2 @t223 @t221)) % 5.42/5.62 (define @t227 () (forall @t3 (not @t226))) % 5.42/5.62 (define @t228 () (not @t227)) % 5.42/5.62 (define @t229 () (forall @t31 (not @t61))) % 5.42/5.62 (define @t230 () (not @t229)) % 5.42/5.62 (define @t231 () (forall @t31 (not @t68))) % 5.42/5.62 (define @t232 () (not @t231)) % 5.42/5.62 (define @t233 () (not @t76)) % 5.42/5.62 (define @t234 () (not @t77)) % 5.42/5.62 (define @t235 () (or @t185 @t234 @t233)) % 5.42/5.62 (define @t236 () (forall @t3 (not @t78))) % 5.42/5.62 (define @t237 () (not @t236)) % 5.42/5.62 (define @t238 () (not @t87)) % 5.42/5.62 (define @t239 () (or @t185 @t234 @t238)) % 5.42/5.62 (define @t240 () (forall @t3 (not @t88))) % 5.42/5.62 (define @t241 () (not @t240)) % 5.42/5.62 (define @t242 () (@var "BOUND_VARIABLE_8536" $$unsorted)) % 5.42/5.62 (define @t243 () (not (tptp.sdtmndtasgtdt0 tptp.xc tptp.xR @t242))) % 5.42/5.62 (define @t244 () (@var "BOUND_VARIABLE_8542" $$unsorted)) % 5.42/5.62 (define @t245 () (and (not (= tptp.xc @t242)) (or (and (not (tptp.aReductOfIn0 @t242 tptp.xc tptp.xR)) (or (not (tptp.aElement0 @t244)) (not (tptp.aReductOfIn0 @t244 tptp.xc tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t244 tptp.xR @t242)))) (not (tptp.sdtmndtplgtdt0 tptp.xc tptp.xR @t242))))) % 5.42/5.62 (define @t246 () (not (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR @t242))) % 5.42/5.62 (define @t247 () (@var "BOUND_VARIABLE_8540" $$unsorted)) % 5.42/5.62 (define @t248 () (and (not (= tptp.xb @t242)) (or (and (not (tptp.aReductOfIn0 @t242 tptp.xb tptp.xR)) (or (not (tptp.aElement0 @t247)) (not (tptp.aReductOfIn0 @t247 tptp.xb tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t247 tptp.xR @t242)))) (not (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR @t242))))) % 5.42/5.62 (define @t249 () (@var "BOUND_VARIABLE_8530" $$unsorted)) % 5.42/5.62 (define @t250 () (not (tptp.aNormalFormOfIn0 @t242 @t249 tptp.xR))) % 5.42/5.62 (define @t251 () (not (forall @t27 (not (tptp.aReductOfIn0 @t25 @t242 tptp.xR))))) % 5.42/5.62 (define @t252 () (not (tptp.sdtmndtasgtdt0 @t249 tptp.xR @t242))) % 5.42/5.62 (define @t253 () (@var "BOUND_VARIABLE_8538" $$unsorted)) % 5.42/5.62 (define @t254 () (and (not (= @t249 @t242)) (or (and (not (tptp.aReductOfIn0 @t242 @t249 tptp.xR)) (or (not (tptp.aElement0 @t253)) (not (tptp.aReductOfIn0 @t253 @t249 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t253 tptp.xR @t242)))) (not (tptp.sdtmndtplgtdt0 @t249 tptp.xR @t242))))) % 5.42/5.62 (define @t255 () (not (tptp.aElement0 @t242))) % 5.42/5.62 (define @t256 () (@var "BOUND_VARIABLE_8526" $$unsorted)) % 5.42/5.62 (define @t257 () (not (tptp.sdtmndtasgtdt0 @t256 tptp.xR @t249))) % 5.42/5.62 (define @t258 () (@var "BOUND_VARIABLE_8534" $$unsorted)) % 5.42/5.62 (define @t259 () (and (not (= @t256 @t249)) (or (and (not (tptp.aReductOfIn0 @t249 @t256 tptp.xR)) (or (not (tptp.aElement0 @t258)) (not (tptp.aReductOfIn0 @t258 @t256 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t258 tptp.xR @t249)))) (not (tptp.sdtmndtplgtdt0 @t256 tptp.xR @t249))))) % 5.42/5.62 (define @t260 () (not (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t249))) % 5.42/5.62 (define @t261 () (@var "BOUND_VARIABLE_8532" $$unsorted)) % 5.42/5.62 (define @t262 () (and (not (= @t1 @t249)) (or (and (not (tptp.aReductOfIn0 @t249 @t1 tptp.xR)) (or (not (tptp.aElement0 @t261)) (not (tptp.aReductOfIn0 @t261 @t1 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t261 tptp.xR @t249)))) (not (tptp.sdtmndtplgtdt0 @t1 tptp.xR @t249))))) % 5.42/5.62 (define @t263 () (not (tptp.aElement0 @t249))) % 5.42/5.62 (define @t264 () (not (tptp.sdtmndtasgtdt0 @t256 tptp.xR tptp.xc))) % 5.42/5.62 (define @t265 () (@var "BOUND_VARIABLE_8528" $$unsorted)) % 5.42/5.62 (define @t266 () (or (and (not (tptp.aReductOfIn0 tptp.xc @t256 tptp.xR)) (or (not (tptp.aElement0 @t265)) (not (tptp.aReductOfIn0 @t265 @t256 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t265 tptp.xR tptp.xc)))) (not (tptp.sdtmndtplgtdt0 @t256 tptp.xR tptp.xc)))) % 5.42/5.62 (define @t267 () (not (= @t256 tptp.xc))) % 5.42/5.62 (define @t268 () (and @t267 @t266)) % 5.42/5.62 (define @t269 () (not (tptp.aReductOfIn0 @t256 tptp.xa tptp.xR))) % 5.42/5.62 (define @t270 () (not (tptp.aElement0 @t256))) % 5.42/5.62 (define @t271 () (not @t148)) % 5.42/5.62 (define @t272 () (@var "BOUND_VARIABLE_8514" $$unsorted)) % 5.42/5.62 (define @t273 () (or (not (tptp.aElement0 @t272)) (not (tptp.aReductOfIn0 @t272 @t1 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t272 tptp.xR tptp.xb)))) % 5.42/5.62 (define @t274 () (not @t152)) % 5.42/5.62 (define @t275 () (and @t274 @t273)) % 5.42/5.62 (define @t276 () (or @t275 @t238)) % 5.42/5.62 (define @t277 () (and @t183 @t276)) % 5.42/5.62 (define @t278 () (or @t185 @t234 @t277 @t271 @t270 @t269 @t268 @t264 @t263 @t262 @t260 @t259 @t257 @t255 @t254 @t252 @t251 @t250 @t248 @t246 @t245 @t243)) % 5.42/5.62 (define @t279 () (or @t270 @t269 @t268 @t264 @t263 @t262 @t260 @t259 @t257 @t255 @t254 @t252 @t251 @t250 @t248 @t246 @t245 @t243)) % 5.42/5.62 (define @t280 () (or @t185 @t234 @t277 @t271 @t279)) % 5.42/5.62 (define @t281 () (@list @t1 @t272 @t256 @t265 @t249 @t261 @t258 @t242 @t253 @t247 @t244)) % 5.42/5.62 (define @t282 () (forall @t281 @t280)) % 5.42/5.62 (define @t283 () (forall (@list @t272 @t256 @t265 @t249 @t261 @t258 @t242 @t253 @t247 @t244) @t280)) % 5.42/5.62 (define @t284 () (forall (@list @t256 @t265 @t249 @t261 @t258 @t242 @t253 @t247 @t244) @t279)) % 5.42/5.62 (define @t285 () (@var "BOUND_VARIABLE_8389" $$unsorted)) % 5.42/5.62 (define @t286 () (@var "BOUND_VARIABLE_8387" $$unsorted)) % 5.42/5.62 (define @t287 () (@var "BOUND_VARIABLE_8385" $$unsorted)) % 5.42/5.62 (define @t288 () (@var "BOUND_VARIABLE_8383" $$unsorted)) % 5.42/5.62 (define @t289 () (@var "BOUND_VARIABLE_8381" $$unsorted)) % 5.42/5.62 (define @t290 () (@var "BOUND_VARIABLE_8379" $$unsorted)) % 5.42/5.62 (define @t291 () (@var "BOUND_VARIABLE_8377" $$unsorted)) % 5.42/5.62 (define @t292 () (@var "BOUND_VARIABLE_8365" $$unsorted)) % 5.42/5.62 (define @t293 () (@list @t272)) % 5.42/5.62 (define @t294 () (forall @t293 @t273)) % 5.42/5.62 (define @t295 () (forall @t293 @t274)) % 5.42/5.62 (define @t296 () (and @t295 @t294)) % 5.42/5.62 (define @t297 () (forall @t293 @t275)) % 5.42/5.62 (define @t298 () (or @t297 @t238)) % 5.42/5.62 (define @t299 () (forall @t293 @t276)) % 5.42/5.62 (define @t300 () (forall @t293 @t183)) % 5.42/5.62 (define @t301 () (and @t300 @t299)) % 5.42/5.62 (define @t302 () (forall @t293 @t277)) % 5.42/5.62 (define @t303 () (or @t185 @t234 @t302 @t271 @t284)) % 5.42/5.62 (define @t304 () (not (tptp.sdtmndtasgtdt0 tptp.xc tptp.xR @t288))) % 5.42/5.62 (define @t305 () (and (not (= tptp.xc @t288)) (or (and (not (tptp.aReductOfIn0 @t288 tptp.xc tptp.xR)) (or (not (tptp.aElement0 @t285)) (not (tptp.aReductOfIn0 @t285 tptp.xc tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t285 tptp.xR @t288)))) (not (tptp.sdtmndtplgtdt0 tptp.xc tptp.xR @t288))))) % 5.42/5.62 (define @t306 () (not (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR @t288))) % 5.42/5.62 (define @t307 () (and (not (= tptp.xb @t288)) (or (and (not (tptp.aReductOfIn0 @t288 tptp.xb tptp.xR)) (or (not (tptp.aElement0 @t286)) (not (tptp.aReductOfIn0 @t286 tptp.xb tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t286 tptp.xR @t288)))) (not (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR @t288))))) % 5.42/5.62 (define @t308 () (not (tptp.aNormalFormOfIn0 @t288 @t291 tptp.xR))) % 5.42/5.62 (define @t309 () (not (forall @t27 (not (tptp.aReductOfIn0 @t25 @t288 tptp.xR))))) % 5.42/5.62 (define @t310 () (not (tptp.sdtmndtasgtdt0 @t291 tptp.xR @t288))) % 5.42/5.62 (define @t311 () (and (not (= @t291 @t288)) (or (and (not (tptp.aReductOfIn0 @t288 @t291 tptp.xR)) (or (not (tptp.aElement0 @t287)) (not (tptp.aReductOfIn0 @t287 @t291 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t287 tptp.xR @t288)))) (not (tptp.sdtmndtplgtdt0 @t291 tptp.xR @t288))))) % 5.42/5.62 (define @t312 () (not (tptp.aElement0 @t288))) % 5.42/5.62 (define @t313 () (not (tptp.sdtmndtasgtdt0 @t7 tptp.xR @t291))) % 5.42/5.62 (define @t314 () (and (not (= @t7 @t291)) (or (and (not (tptp.aReductOfIn0 @t291 @t7 tptp.xR)) (or (not (tptp.aElement0 @t289)) (not (tptp.aReductOfIn0 @t289 @t7 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t289 tptp.xR @t291)))) (not (tptp.sdtmndtplgtdt0 @t7 tptp.xR @t291))))) % 5.42/5.62 (define @t315 () (not (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t291))) % 5.42/5.62 (define @t316 () (and (not (= @t1 @t291)) (or (and (not (tptp.aReductOfIn0 @t291 @t1 tptp.xR)) (or (not (tptp.aElement0 @t290)) (not (tptp.aReductOfIn0 @t290 @t1 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t290 tptp.xR @t291)))) (not (tptp.sdtmndtplgtdt0 @t1 tptp.xR @t291))))) % 5.42/5.62 (define @t317 () (not (tptp.aElement0 @t291))) % 5.42/5.62 (define @t318 () (not @t135)) % 5.42/5.62 (define @t319 () (not @t136)) % 5.42/5.62 (define @t320 () (or (not (tptp.aElement0 @t292)) (not (tptp.aReductOfIn0 @t292 @t7 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t292 tptp.xR tptp.xc)))) % 5.42/5.62 (define @t321 () (not @t140)) % 5.42/5.62 (define @t322 () (and @t321 @t320)) % 5.42/5.62 (define @t323 () (or @t322 @t319)) % 5.42/5.62 (define @t324 () (not @t143)) % 5.42/5.62 (define @t325 () (and @t324 @t323)) % 5.42/5.62 (define @t326 () (not @t145)) % 5.42/5.62 (define @t327 () (or @t209 @t326 @t325 @t318 @t317 @t316 @t315 @t314 @t313 @t312 @t311 @t310 @t309 @t308 @t307 @t306 @t305 @t304)) % 5.42/5.62 (define @t328 () (@list @t7 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t285)) % 5.42/5.62 (define @t329 () (forall @t328 @t327)) % 5.42/5.62 (define @t330 () (not @t149)) % 5.42/5.62 (define @t331 () (not @t34)) % 5.42/5.62 (define @t332 () (or @t209 @t331 @t330)) % 5.42/5.62 (define @t333 () (forall @t31 @t332)) % 5.42/5.62 (define @t334 () (not @t333)) % 5.42/5.62 (define @t335 () (or @t152 @t334)) % 5.42/5.62 (define @t336 () (and @t335 @t87)) % 5.42/5.62 (define @t337 () (or @t155 @t336)) % 5.42/5.62 (define @t338 () (not @t337)) % 5.42/5.62 (define @t339 () (not @t329)) % 5.42/5.62 (define @t340 () (not @t339)) % 5.42/5.62 (define @t341 () (or @t185 @t234 @t338 @t271 @t340)) % 5.42/5.62 (define @t342 () (and @t2 @t77 @t337 @t148 @t339)) % 5.42/5.62 (define @t343 () (forall @t3 (not @t342))) % 5.42/5.62 (define @t344 () (not @t343)) % 5.42/5.62 (define @t345 () (or @t317 @t316 @t315 @t314 @t313 @t312 @t311 @t310 @t309 @t308 @t307 @t306 @t305 @t304)) % 5.42/5.62 (define @t346 () (or @t209 @t326 @t325 @t318 @t345)) % 5.42/5.62 (define @t347 () (forall @t328 @t346)) % 5.42/5.62 (define @t348 () (forall (@list @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t285) @t346)) % 5.42/5.62 (define @t349 () (forall (@list @t291 @t290 @t289 @t288 @t287 @t286 @t285) @t345)) % 5.42/5.62 (define @t350 () (@var "BOUND_VARIABLE_8269" $$unsorted)) % 5.42/5.62 (define @t351 () (@var "BOUND_VARIABLE_8267" $$unsorted)) % 5.42/5.62 (define @t352 () (@var "BOUND_VARIABLE_8265" $$unsorted)) % 5.42/5.62 (define @t353 () (@var "BOUND_VARIABLE_8263" $$unsorted)) % 5.42/5.62 (define @t354 () (@var "BOUND_VARIABLE_8251" $$unsorted)) % 5.42/5.62 (define @t355 () (@var "BOUND_VARIABLE_8239" $$unsorted)) % 5.42/5.62 (define @t356 () (@list @t292)) % 5.42/5.62 (define @t357 () (forall @t356 @t320)) % 5.42/5.62 (define @t358 () (forall @t356 @t321)) % 5.42/5.62 (define @t359 () (and @t358 @t357)) % 5.42/5.62 (define @t360 () (forall @t356 @t322)) % 5.42/5.62 (define @t361 () (or @t360 @t319)) % 5.42/5.62 (define @t362 () (forall @t356 @t323)) % 5.42/5.62 (define @t363 () (forall @t356 @t324)) % 5.42/5.62 (define @t364 () (and @t363 @t362)) % 5.42/5.62 (define @t365 () (forall @t356 @t325)) % 5.42/5.62 (define @t366 () (or @t209 @t326 @t365 @t318 @t349)) % 5.42/5.62 (define @t367 () (not (tptp.sdtmndtasgtdt0 tptp.xc tptp.xR @t353))) % 5.42/5.62 (define @t368 () (or (and (not (tptp.aReductOfIn0 @t353 tptp.xc tptp.xR)) (or (not (tptp.aElement0 @t350)) (not (tptp.aReductOfIn0 @t350 tptp.xc tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t350 tptp.xR @t353)))) (not (tptp.sdtmndtplgtdt0 tptp.xc tptp.xR @t353)))) % 5.42/5.62 (define @t369 () (not (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR @t353))) % 5.42/5.62 (define @t370 () (or (and (not (tptp.aReductOfIn0 @t353 tptp.xb tptp.xR)) (or (not (tptp.aElement0 @t351)) (not (tptp.aReductOfIn0 @t351 tptp.xb tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t351 tptp.xR @t353)))) (not (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR @t353)))) % 5.42/5.62 (define @t371 () (not (tptp.aNormalFormOfIn0 @t353 @t5 tptp.xR))) % 5.42/5.62 (define @t372 () (not (forall @t27 (not (tptp.aReductOfIn0 @t25 @t353 tptp.xR))))) % 5.42/5.62 (define @t373 () (not (tptp.sdtmndtasgtdt0 @t5 tptp.xR @t353))) % 5.42/5.62 (define @t374 () (and (not (= @t5 @t353)) (or (and (not (tptp.aReductOfIn0 @t353 @t5 tptp.xR)) (or (not (tptp.aElement0 @t352)) (not (tptp.aReductOfIn0 @t352 @t5 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t352 tptp.xR @t353)))) (not (tptp.sdtmndtplgtdt0 @t5 tptp.xR @t353))))) % 5.42/5.62 (define @t375 () (not (tptp.aElement0 @t353))) % 5.42/5.62 (define @t376 () (not @t121)) % 5.42/5.62 (define @t377 () (not @t122)) % 5.42/5.62 (define @t378 () (or (not (tptp.aElement0 @t354)) (not (tptp.aReductOfIn0 @t354 @t7 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t354 tptp.xR @t5)))) % 5.42/5.62 (define @t379 () (not @t125)) % 5.42/5.62 (define @t380 () (and @t379 @t378)) % 5.42/5.62 (define @t381 () (or @t380 @t377)) % 5.42/5.62 (define @t382 () (not @t128)) % 5.42/5.62 (define @t383 () (and @t382 @t381)) % 5.42/5.62 (define @t384 () (not @t51)) % 5.42/5.62 (define @t385 () (not @t52)) % 5.42/5.62 (define @t386 () (or (not (tptp.aElement0 @t355)) (not (tptp.aReductOfIn0 @t355 @t1 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t355 tptp.xR @t5)))) % 5.42/5.62 (define @t387 () (not @t33)) % 5.42/5.62 (define @t388 () (and @t387 @t386)) % 5.42/5.62 (define @t389 () (or @t388 @t385)) % 5.42/5.62 (define @t390 () (not @t23)) % 5.42/5.62 (define @t391 () (and @t390 @t389)) % 5.42/5.62 (define @t392 () (not @t6)) % 5.42/5.62 (define @t393 () (@list @t5 @t355 @t354 @t353 @t352 @t351 @t350)) % 5.42/5.62 (define @t394 () (forall @t393 (or @t392 @t391 @t384 @t383 @t376 @t375 @t374 @t373 @t372 @t371 (and (not (= tptp.xb @t353)) @t370) @t369 (and (not (= tptp.xc @t353)) @t368) @t367))) % 5.42/5.62 (define @t395 () (not @t137)) % 5.42/5.62 (define @t396 () (or @t392 @t379 @t395)) % 5.42/5.62 (define @t397 () (forall @t9 @t396)) % 5.42/5.62 (define @t398 () (not @t397)) % 5.42/5.62 (define @t399 () (or @t140 @t398)) % 5.42/5.62 (define @t400 () (and @t399 @t136)) % 5.42/5.62 (define @t401 () (or @t143 @t400)) % 5.42/5.62 (define @t402 () (not @t401)) % 5.42/5.62 (define @t403 () (not @t394)) % 5.42/5.62 (define @t404 () (not @t403)) % 5.42/5.62 (define @t405 () (or @t209 @t326 @t402 @t318 @t404)) % 5.42/5.62 (define @t406 () (and @t13 @t145 @t401 @t135 @t403)) % 5.42/5.62 (define @t407 () (forall @t31 (not @t406))) % 5.42/5.62 (define @t408 () (not @t407)) % 5.42/5.62 (define @t409 () (not (= @t353 tptp.xc))) % 5.42/5.62 (define @t410 () (and @t409 @t368)) % 5.42/5.62 (define @t411 () (not (= @t353 tptp.xb))) % 5.42/5.62 (define @t412 () (and @t411 @t370)) % 5.42/5.62 (define @t413 () (or @t392 @t391 @t384 @t383 @t376 @t375 @t374 @t373 @t372 @t371 @t412 @t369 @t410 @t367)) % 5.42/5.62 (define @t414 () (or @t375 @t374 @t373 @t372 @t371 @t412 @t369 @t410 @t367)) % 5.42/5.62 (define @t415 () (or @t392 @t391 @t384 @t383 @t376 @t414)) % 5.42/5.62 (define @t416 () (forall @t393 @t415)) % 5.42/5.62 (define @t417 () (forall (@list @t355 @t354 @t353 @t352 @t351 @t350) @t415)) % 5.42/5.62 (define @t418 () (forall (@list @t353 @t352 @t351 @t350) @t414)) % 5.42/5.62 (define @t419 () (@var "BOUND_VARIABLE_8201" $$unsorted)) % 5.42/5.62 (define @t420 () (@var "BOUND_VARIABLE_8189" $$unsorted)) % 5.42/5.62 (define @t421 () (@var "BOUND_VARIABLE_8177" $$unsorted)) % 5.42/5.62 (define @t422 () (@list @t354)) % 5.42/5.62 (define @t423 () (forall @t422 @t378)) % 5.42/5.62 (define @t424 () (@list @t18)) % 5.42/5.62 (define @t425 () (forall @t422 @t379)) % 5.42/5.62 (define @t426 () (and @t425 @t423)) % 5.42/5.62 (define @t427 () (forall @t422 @t380)) % 5.42/5.62 (define @t428 () (or @t427 @t377)) % 5.42/5.62 (define @t429 () (forall @t422 @t381)) % 5.42/5.62 (define @t430 () (forall @t422 @t382)) % 5.42/5.62 (define @t431 () (and @t430 @t429)) % 5.42/5.62 (define @t432 () (forall @t422 @t383)) % 5.42/5.62 (define @t433 () (@list @t355)) % 5.42/5.62 (define @t434 () (forall @t433 @t386)) % 5.42/5.62 (define @t435 () (forall @t433 @t387)) % 5.42/5.62 (define @t436 () (and @t435 @t434)) % 5.42/5.62 (define @t437 () (forall @t433 @t388)) % 5.42/5.62 (define @t438 () (or @t437 @t385)) % 5.42/5.62 (define @t439 () (forall @t433 @t389)) % 5.42/5.62 (define @t440 () (forall @t433 @t390)) % 5.42/5.62 (define @t441 () (and @t440 @t439)) % 5.42/5.62 (define @t442 () (forall @t433 @t391)) % 5.42/5.62 (define @t443 () (or @t392 @t442 @t384 @t432 @t376 @t418)) % 5.42/5.62 (define @t444 () (not @t97)) % 5.42/5.62 (define @t445 () (not @t98)) % 5.42/5.62 (define @t446 () (or (not (tptp.aElement0 @t419)) (not (tptp.aReductOfIn0 @t419 tptp.xc tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t419 tptp.xR @t18)))) % 5.42/5.62 (define @t447 () (not @t102)) % 5.42/5.62 (define @t448 () (and @t447 @t446)) % 5.42/5.62 (define @t449 () (or @t448 @t445)) % 5.42/5.62 (define @t450 () (= @t18 tptp.xc)) % 5.42/5.62 (define @t451 () (not @t450)) % 5.42/5.62 (define @t452 () (and @t451 @t449)) % 5.42/5.62 (define @t453 () (not @t106)) % 5.42/5.62 (define @t454 () (not @t107)) % 5.42/5.62 (define @t455 () (or (not (tptp.aElement0 @t420)) (not (tptp.aReductOfIn0 @t420 tptp.xb tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t420 tptp.xR @t18)))) % 5.42/5.62 (define @t456 () (not @t111)) % 5.42/5.62 (define @t457 () (and @t456 @t455)) % 5.42/5.62 (define @t458 () (or @t457 @t454)) % 5.42/5.62 (define @t459 () (= @t18 tptp.xb)) % 5.42/5.62 (define @t460 () (not @t459)) % 5.42/5.62 (define @t461 () (and @t460 @t458)) % 5.42/5.62 (define @t462 () (not @t115)) % 5.42/5.62 (define @t463 () (forall @t27 (not @t116))) % 5.42/5.62 (define @t464 () (not @t463)) % 5.42/5.62 (define @t465 () (not @t35)) % 5.42/5.62 (define @t466 () (not @t36)) % 5.42/5.62 (define @t467 () (or (not (tptp.aElement0 @t421)) (not (tptp.aReductOfIn0 @t421 @t5 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t421 tptp.xR @t18)))) % 5.42/5.62 (define @t468 () (not @t41)) % 5.42/5.62 (define @t469 () (and @t468 @t467)) % 5.42/5.62 (define @t470 () (or @t469 @t466)) % 5.42/5.62 (define @t471 () (not @t44)) % 5.42/5.62 (define @t472 () (and @t471 @t470)) % 5.42/5.62 (define @t473 () (not @t19)) % 5.42/5.62 (define @t474 () (or @t473 @t472 @t465 @t464 @t462 @t461 @t453 @t452 @t444)) % 5.42/5.62 (define @t475 () (forall (@list @t18 @t421 @t420 @t419) @t474)) % 5.42/5.62 (define @t476 () (not @t53)) % 5.42/5.62 (define @t477 () (not @t46)) % 5.42/5.62 (define @t478 () (or @t473 @t477 @t476)) % 5.42/5.62 (define @t479 () (forall @t20 @t478)) % 5.42/5.62 (define @t480 () (not @t54)) % 5.42/5.62 (define @t481 () (or @t473 @t480 @t476)) % 5.42/5.62 (define @t482 () (forall @t20 @t481)) % 5.42/5.62 (define @t483 () (not @t479)) % 5.42/5.62 (define @t484 () (or @t125 @t483)) % 5.42/5.62 (define @t485 () (and @t484 @t122)) % 5.42/5.62 (define @t486 () (not @t482)) % 5.42/5.62 (define @t487 () (or @t33 @t486)) % 5.42/5.62 (define @t488 () (and @t487 @t52)) % 5.42/5.62 (define @t489 () (or @t128 @t485)) % 5.42/5.62 (define @t490 () (not @t489)) % 5.42/5.62 (define @t491 () (or @t23 @t488)) % 5.42/5.62 (define @t492 () (not @t491)) % 5.42/5.62 (define @t493 () (not @t475)) % 5.42/5.62 (define @t494 () (not @t493)) % 5.42/5.62 (define @t495 () (or @t392 @t492 @t384 @t490 @t376 @t494)) % 5.42/5.62 (define @t496 () (and @t6 @t491 @t51 @t489 @t121 @t493)) % 5.42/5.62 (define @t497 () (forall @t9 (not @t496))) % 5.42/5.62 (define @t498 () (not @t497)) % 5.42/5.62 (define @t499 () (forall (@list @t421 @t420 @t419) @t474)) % 5.42/5.62 (define @t500 () (@list @t419)) % 5.42/5.62 (define @t501 () (forall @t500 @t446)) % 5.42/5.62 (define @t502 () (@list @t25)) % 5.42/5.62 (define @t503 () (forall @t500 @t447)) % 5.42/5.62 (define @t504 () (and @t503 @t501)) % 5.42/5.62 (define @t505 () (forall @t500 @t448)) % 5.42/5.62 (define @t506 () (or @t505 @t445)) % 5.42/5.62 (define @t507 () (forall @t500 @t449)) % 5.42/5.62 (define @t508 () (forall @t500 @t451)) % 5.42/5.62 (define @t509 () (and @t508 @t507)) % 5.42/5.62 (define @t510 () (forall @t500 @t452)) % 5.42/5.62 (define @t511 () (@list @t420)) % 5.42/5.62 (define @t512 () (forall @t511 @t455)) % 5.42/5.62 (define @t513 () (forall @t511 @t456)) % 5.42/5.62 (define @t514 () (and @t513 @t512)) % 5.42/5.62 (define @t515 () (forall @t511 @t457)) % 5.42/5.62 (define @t516 () (or @t515 @t454)) % 5.42/5.62 (define @t517 () (forall @t511 @t458)) % 5.42/5.62 (define @t518 () (forall @t511 @t460)) % 5.42/5.62 (define @t519 () (and @t518 @t517)) % 5.42/5.62 (define @t520 () (forall @t511 @t461)) % 5.42/5.62 (define @t521 () (@list @t421)) % 5.42/5.62 (define @t522 () (forall @t521 @t467)) % 5.42/5.62 (define @t523 () (forall @t521 @t468)) % 5.42/5.62 (define @t524 () (and @t523 @t522)) % 5.42/5.62 (define @t525 () (forall @t521 @t469)) % 5.42/5.62 (define @t526 () (or @t525 @t466)) % 5.42/5.62 (define @t527 () (forall @t521 @t470)) % 5.42/5.62 (define @t528 () (forall @t521 @t471)) % 5.42/5.62 (define @t529 () (and @t528 @t527)) % 5.42/5.62 (define @t530 () (forall @t521 @t472)) % 5.42/5.62 (define @t531 () (or @t473 @t530 @t465 @t464 @t462 @t520 @t453 @t510 @t444)) % 5.42/5.62 (define @t532 () (not @t37)) % 5.42/5.62 (define @t533 () (not @t99)) % 5.42/5.62 (define @t534 () (not @t26)) % 5.42/5.62 (define @t535 () (or @t534 @t533 @t532)) % 5.42/5.62 (define @t536 () (forall @t27 @t535)) % 5.42/5.62 (define @t537 () (not @t108)) % 5.42/5.62 (define @t538 () (or @t534 @t537 @t532)) % 5.42/5.62 (define @t539 () (forall @t27 @t538)) % 5.42/5.62 (define @t540 () (not @t38)) % 5.42/5.62 (define @t541 () (or @t534 @t540 @t532)) % 5.42/5.62 (define @t542 () (forall @t27 @t541)) % 5.42/5.62 (define @t543 () (not @t536)) % 5.42/5.62 (define @t544 () (or @t102 @t543)) % 5.42/5.62 (define @t545 () (and @t544 @t98)) % 5.42/5.62 (define @t546 () (not @t539)) % 5.42/5.62 (define @t547 () (or @t111 @t546)) % 5.42/5.62 (define @t548 () (and @t547 @t107)) % 5.42/5.62 (define @t549 () (not @t542)) % 5.42/5.62 (define @t550 () (or @t41 @t549)) % 5.42/5.62 (define @t551 () (and @t550 @t36)) % 5.42/5.62 (define @t552 () (or @t450 @t545)) % 5.42/5.62 (define @t553 () (not @t552)) % 5.42/5.62 (define @t554 () (or @t459 @t548)) % 5.42/5.62 (define @t555 () (not @t554)) % 5.42/5.62 (define @t556 () (or @t44 @t551)) % 5.42/5.62 (define @t557 () (not @t556)) % 5.42/5.62 (define @t558 () (or @t473 @t557 @t465 @t464 @t462 @t555 @t453 @t553 @t444)) % 5.42/5.62 (define @t559 () (and @t19 @t556 @t35 @t463 @t115 @t554 @t106 @t552 @t97)) % 5.42/5.62 (define @t560 () (forall @t20 (not @t559))) % 5.42/5.62 (define @t561 () (not @t560)) % 5.42/5.62 (define @t562 () (forall @t27 (not @t100))) % 5.42/5.62 (define @t563 () (not @t562)) % 5.42/5.62 (define @t564 () (forall @t27 (not @t109))) % 5.42/5.62 (define @t565 () (not @t564)) % 5.42/5.62 (define @t566 () (forall @t27 (not @t39))) % 5.42/5.62 (define @t567 () (not @t566)) % 5.42/5.62 (define @t568 () (forall @t20 (not @t123))) % 5.42/5.62 (define @t569 () (not @t568)) % 5.42/5.62 (define @t570 () (forall @t20 (not @t55))) % 5.42/5.62 (define @t571 () (not @t570)) % 5.42/5.62 (define @t572 () (forall @t9 (not @t138))) % 5.42/5.62 (define @t573 () (not @t572)) % 5.42/5.62 (define @t574 () (forall @t31 (not @t150))) % 5.42/5.62 (define @t575 () (not @t574)) % 5.42/5.62 (define @t576 () (tptp.sdtmndtplgtdt0 tptp.xc tptp.xR tptp.xb)) % 5.42/5.62 (define @t577 () (not @t576)) % 5.42/5.62 (define @t578 () (not (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR tptp.xb))) % 5.42/5.62 (define @t579 () (not (tptp.aReductOfIn0 tptp.xb tptp.xc tptp.xR))) % 5.42/5.62 (define @t580 () (not @t49)) % 5.42/5.62 (define @t581 () (not (= tptp.xb tptp.xc))) % 5.42/5.62 (define @t582 () (and @t581 @t579 (or @t580 @t579 @t578) @t577 (not (tptp.sdtmndtasgtdt0 tptp.xc tptp.xR tptp.xb)))) % 5.42/5.62 (define @t583 () (or @t580 @t582)) % 5.42/5.62 (define @t584 () (not (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR tptp.xb))) % 5.42/5.62 (define @t585 () (not @t86)) % 5.42/5.62 (define @t586 () (not (tptp.aReductOfIn0 tptp.xa tptp.xb tptp.xR))) % 5.42/5.62 (define @t587 () (or @t167 @t586 @t585)) % 5.42/5.62 (define @t588 () (not (tptp.aReductOfIn0 tptp.xb tptp.xb tptp.xR))) % 5.42/5.62 (define @t589 () (not (= tptp.xb tptp.xb))) % 5.42/5.62 (define @t590 () (and @t589 @t588 @t587 @t578 @t584)) % 5.42/5.62 (define @t591 () (or @t580 @t590 @t582)) % 5.42/5.62 (define @t592 () (@list false)) % 5.42/5.62 (define @t593 () (@list @t187)) % 5.42/5.62 (define @t594 () (@list false false)) % 5.42/5.62 (define @t595 () (and @t577 @t83 @t86)) % 5.42/5.62 (define @t596 () (not @t93)) % 5.42/5.62 (define @t597 () (and @t596 @t586 (or @t167 @t586 @t165) (not (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR tptp.xa)) (not (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR tptp.xa)))) % 5.42/5.62 (define @t598 () (or @t167 @t597 @t169)) % 5.42/5.62 (define @t599 () (not (forall @t3 @t239))) % 5.42/5.62 (define @t600 () (and (or @t90 @t599) @t86)) % 5.42/5.62 (define @t601 () (not @t600)) % 5.42/5.62 (define @t602 () (not (forall @t3 @t235))) % 5.42/5.62 (define @t603 () (and (or @t80 @t602) @t75)) % 5.42/5.62 (define @t604 () (@list true)) % 5.42/5.62 (define @t605 () (or @t80 @t602 @t75)) % 5.42/5.62 (define @t606 () (forall @t281 (or @t185 @t234 @t277 @t271 @t270 @t269 (and (not (= tptp.xc @t256)) @t266) @t264 @t263 @t262 @t260 @t259 @t257 @t255 @t254 @t252 @t251 @t250 @t248 @t246 @t245 @t243))) % 5.42/5.62 (define @t607 () (@quantifiers_skolemize @t606 7)) % 5.42/5.62 (define @t608 () (tptp.aElement0 @t607)) % 5.42/5.62 (define @t609 () (tptp.sdtmndtasgtdt0 tptp.xc tptp.xR @t607)) % 5.42/5.62 (define @t610 () (not @t609)) % 5.42/5.62 (define @t611 () (not (tptp.sdtmndtplgtdt0 tptp.xc tptp.xR @t607))) % 5.42/5.62 (define @t612 () (@quantifiers_skolemize @t606 10)) % 5.42/5.62 (define @t613 () (not (tptp.aReductOfIn0 @t607 tptp.xc tptp.xR))) % 5.42/5.62 (define @t614 () (not (= tptp.xc @t607))) % 5.42/5.62 (define @t615 () (and @t614 (or (and @t613 (or (not (tptp.aElement0 @t612)) (not (tptp.aReductOfIn0 @t612 tptp.xc tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t612 tptp.xR @t607)))) @t611))) % 5.42/5.62 (define @t616 () (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR @t607)) % 5.42/5.62 (define @t617 () (not @t616)) % 5.42/5.62 (define @t618 () (not (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR @t607))) % 5.42/5.62 (define @t619 () (@quantifiers_skolemize @t606 9)) % 5.42/5.62 (define @t620 () (not (tptp.aReductOfIn0 @t607 tptp.xb tptp.xR))) % 5.42/5.62 (define @t621 () (not (= tptp.xb @t607))) % 5.42/5.62 (define @t622 () (and @t621 (or (and @t620 (or (not (tptp.aElement0 @t619)) (not (tptp.aReductOfIn0 @t619 tptp.xb tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t619 tptp.xR @t607)))) @t618))) % 5.42/5.62 (define @t623 () (@quantifiers_skolemize @t606 4)) % 5.42/5.62 (define @t624 () (not (tptp.aNormalFormOfIn0 @t607 @t623 tptp.xR))) % 5.42/5.62 (define @t625 () (not (forall @t27 (not (tptp.aReductOfIn0 @t25 @t607 tptp.xR))))) % 5.42/5.62 (define @t626 () (not (tptp.sdtmndtasgtdt0 @t623 tptp.xR @t607))) % 5.42/5.62 (define @t627 () (@quantifiers_skolemize @t606 8)) % 5.42/5.62 (define @t628 () (and (not (= @t623 @t607)) (or (and (not (tptp.aReductOfIn0 @t607 @t623 tptp.xR)) (or (not (tptp.aElement0 @t627)) (not (tptp.aReductOfIn0 @t627 @t623 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t627 tptp.xR @t607)))) (not (tptp.sdtmndtplgtdt0 @t623 tptp.xR @t607))))) % 5.42/5.62 (define @t629 () (not @t608)) % 5.42/5.62 (define @t630 () (@quantifiers_skolemize @t606 2)) % 5.42/5.62 (define @t631 () (not (tptp.sdtmndtasgtdt0 @t630 tptp.xR @t623))) % 5.42/5.62 (define @t632 () (@quantifiers_skolemize @t606 6)) % 5.42/5.62 (define @t633 () (and (not (= @t630 @t623)) (or (and (not (tptp.aReductOfIn0 @t623 @t630 tptp.xR)) (or (not (tptp.aElement0 @t632)) (not (tptp.aReductOfIn0 @t632 @t630 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t632 tptp.xR @t623)))) (not (tptp.sdtmndtplgtdt0 @t630 tptp.xR @t623))))) % 5.42/5.62 (define @t634 () (@quantifiers_skolemize @t606 0)) % 5.42/5.62 (define @t635 () (not (tptp.sdtmndtasgtdt0 @t634 tptp.xR @t623))) % 5.42/5.62 (define @t636 () (@quantifiers_skolemize @t606 5)) % 5.42/5.62 (define @t637 () (and (not (= @t634 @t623)) (or (and (not (tptp.aReductOfIn0 @t623 @t634 tptp.xR)) (or (not (tptp.aElement0 @t636)) (not (tptp.aReductOfIn0 @t636 @t634 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t636 tptp.xR @t623)))) (not (tptp.sdtmndtplgtdt0 @t634 tptp.xR @t623))))) % 5.42/5.62 (define @t638 () (not (tptp.aElement0 @t623))) % 5.42/5.62 (define @t639 () (not (tptp.sdtmndtasgtdt0 @t630 tptp.xR tptp.xc))) % 5.42/5.62 (define @t640 () (@quantifiers_skolemize @t606 3)) % 5.42/5.62 (define @t641 () (and (not (= tptp.xc @t630)) (or (and (not (tptp.aReductOfIn0 tptp.xc @t630 tptp.xR)) (or (not (tptp.aElement0 @t640)) (not (tptp.aReductOfIn0 @t640 @t630 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t640 tptp.xR tptp.xc)))) (not (tptp.sdtmndtplgtdt0 @t630 tptp.xR tptp.xc))))) % 5.42/5.62 (define @t642 () (not (tptp.aReductOfIn0 @t630 tptp.xa tptp.xR))) % 5.42/5.62 (define @t643 () (not (tptp.aElement0 @t630))) % 5.42/5.62 (define @t644 () (not (tptp.sdtmndtasgtdt0 @t634 tptp.xR tptp.xb))) % 5.42/5.62 (define @t645 () (@quantifiers_skolemize @t606 1)) % 5.42/5.62 (define @t646 () (or (and (not (tptp.aReductOfIn0 tptp.xb @t634 tptp.xR)) (or (not (tptp.aElement0 @t645)) (not (tptp.aReductOfIn0 @t645 @t634 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t645 tptp.xR tptp.xb)))) (not (tptp.sdtmndtplgtdt0 @t634 tptp.xR tptp.xb)))) % 5.42/5.62 (define @t647 () (not (tptp.aReductOfIn0 @t634 tptp.xa tptp.xR))) % 5.42/5.62 (define @t648 () (not (tptp.aElement0 @t634))) % 5.42/5.62 (define @t649 () (or @t648 @t647 (and (not (= tptp.xb @t634)) @t646) @t644 @t643 @t642 @t641 @t639 @t638 @t637 @t635 @t633 @t631 @t629 @t628 @t626 @t625 @t624 @t622 @t617 @t615 @t610)) % 5.42/5.62 (define @t650 () (not (tptp.sdtmndtplgtdt0 @t607 tptp.xR @t607))) % 5.42/5.62 (define @t651 () (or @t629 @t620 @t650)) % 5.42/5.62 (define @t652 () (and @t621 @t620 @t651 @t618 @t617)) % 5.42/5.62 (define @t653 () (or @t629 @t613 @t650)) % 5.42/5.62 (define @t654 () (and @t614 @t613 @t653 @t611 @t610)) % 5.42/5.62 (define @t655 () (not (= @t607 tptp.xc))) % 5.42/5.62 (define @t656 () (and @t655 @t613 @t653 @t611 @t610)) % 5.42/5.62 (define @t657 () (not (= @t607 tptp.xb))) % 5.42/5.62 (define @t658 () (and @t657 @t620 @t651 @t618 @t617)) % 5.42/5.62 (define @t659 () (or @t629 @t658 @t656)) % 5.42/5.62 (define @t660 () (or @t629 @t652 @t654)) % 5.42/5.62 (define @t661 () (not @t649)) % 5.42/5.62 (define @t662 () (not @t606)) % 5.42/5.62 (define @t663 () (not (= @t634 tptp.xb))) % 5.42/5.62 (define @t664 () (and @t663 @t646)) % 5.42/5.62 (define @t665 () (or @t648 @t647 @t664 @t644 @t643 @t642 @t641 @t639 @t638 @t637 @t635 @t633 @t631 @t629 @t628 @t626 @t625 @t624 @t622 @t617 @t615 @t610)) % 5.42/5.62 (define @t666 () (not @t665)) % 5.42/5.62 (define @t667 () (or @t90 @t599 @t86)) % 5.42/5.62 (define @t668 () (and @t667 @t605)) % 5.42/5.62 (define @t669 () (not @t668)) % 5.42/5.62 (define @t670 () (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR tptp.xc)) % 5.42/5.62 (define @t671 () (and @t75 @t93)) % 5.42/5.62 (define @t672 () (not (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR tptp.xc))) % 5.42/5.62 (define @t673 () (not @t670)) % 5.42/5.62 (define @t674 () (not (tptp.sdtmndtplgtdt0 tptp.xc tptp.xR tptp.xc))) % 5.42/5.62 (define @t675 () (not (tptp.aReductOfIn0 tptp.xc tptp.xb tptp.xR))) % 5.42/5.62 (define @t676 () (not @t48)) % 5.42/5.62 (define @t677 () (or @t676 @t675 @t674)) % 5.42/5.62 (define @t678 () (and @t581 @t675 @t677 @t673 @t672)) % 5.42/5.62 (define @t679 () (not @t678)) % 5.42/5.62 (define @t680 () (or @t676 @t678)) % 5.42/5.62 (define @t681 () (not (tptp.sdtmndtasgtdt0 tptp.xc tptp.xR tptp.xc))) % 5.42/5.62 (define @t682 () (or @t167 @t166 (not @t75))) % 5.42/5.62 (define @t683 () (not (tptp.aReductOfIn0 tptp.xc tptp.xc tptp.xR))) % 5.42/5.62 (define @t684 () (not (= tptp.xc tptp.xc))) % 5.42/5.62 (define @t685 () (and @t684 @t683 @t682 @t674 @t681)) % 5.42/5.62 (define @t686 () (not (= tptp.xc tptp.xb))) % 5.42/5.62 (define @t687 () (and @t686 @t675 @t677 @t673 @t672)) % 5.42/5.62 (define @t688 () (or @t676 @t687 @t685)) % 5.42/5.62 (assume @p1 (forall @t3 (=> @t2 true))) % 5.42/5.62 (assume @p2 (forall @t3 (=> @t4 true))) % 5.42/5.62 (assume @p3 (forall @t12 (=> @t11 (forall @t9 (=> @t8 @t6))))) % 5.42/5.62 (assume @p4 (forall @t12 (=> @t14 (=> (tptp.iLess0 @t1 @t7) true)))) % 5.42/5.62 (assume @p5 (forall @t17 (=> @t16 (=> @t15 true)))) % 5.42/5.62 (assume @p6 (forall @t17 (=> @t16 (= @t15 (or @t8 (exists @t20 (and @t19 (tptp.aReductOfIn0 @t18 @t1 @t7) (tptp.sdtmndtplgtdt0 @t18 @t7 @t5)))))))) % 5.42/5.62 (assume @p7 (forall @t22 (=> @t21 (=> (and @t15 (tptp.sdtmndtplgtdt0 @t5 @t7 @t18)) (tptp.sdtmndtplgtdt0 @t1 @t7 @t18))))) % 5.42/5.62 (assume @p8 (forall @t17 (=> @t16 (= @t24 (or @t23 @t15))))) % 5.42/5.62 (assume @p9 (forall @t22 (=> @t21 (=> (and @t24 (tptp.sdtmndtasgtdt0 @t5 @t7 @t18)) (tptp.sdtmndtasgtdt0 @t1 @t7 @t18))))) % 5.42/5.62 (assume @p10 (forall @t3 (=> @t4 (= (tptp.isConfluent0 @t1) (forall @t29 (=> (and @t13 @t6 @t19 (tptp.sdtmndtasgtdt0 @t7 @t1 @t5) (tptp.sdtmndtasgtdt0 @t7 @t1 @t18)) @t28)))))) % 5.42/5.62 (assume @p11 (forall @t3 (=> @t4 (= (tptp.isLocallyConfluent0 @t1) (forall @t29 (=> (and @t13 @t6 @t19 (tptp.aReductOfIn0 @t5 @t7 @t1) (tptp.aReductOfIn0 @t18 @t7 @t1)) @t28)))))) % 5.42/5.62 (assume @p12 (forall @t3 (=> @t4 (= @t30 (forall (@list @t7 @t5) (=> (and @t13 @t6) (=> (tptp.sdtmndtplgtdt0 @t7 @t1 @t5) (tptp.iLess0 @t5 @t7)))))))) % 5.42/5.62 (assume @p13 (forall @t12 (=> @t11 (forall @t9 (= (tptp.aNormalFormOfIn0 @t5 @t1 @t7) (and @t6 @t24 (not (exists @t20 (tptp.aReductOfIn0 @t18 @t5 @t7))))))))) % 5.42/5.62 (assume @p14 (forall @t3 (=> (and @t4 @t30) (forall @t31 (=> @t13 (exists @t9 (tptp.aNormalFormOfIn0 @t5 @t7 @t1))))))) % 5.42/5.62 (assume @p15 (tptp.aRewritingSystem0 tptp.xR)) % 5.42/5.62 (assume @p16 (and (forall @t17 (=> (and @t2 @t13 @t6 @t34 @t33) @t47)) (tptp.isLocallyConfluent0 tptp.xR) (forall @t12 (=> @t14 (=> (or @t34 (exists @t9 (and @t6 @t33 (tptp.sdtmndtplgtdt0 @t5 tptp.xR @t7))) @t32) (tptp.iLess0 @t7 @t1)))) (tptp.isTerminating0 tptp.xR))) % 5.42/5.62 (assume @p17 (and @t50 @t49 @t48)) % 5.42/5.62 (assume @p18 (forall @t17 (=> (and @t2 @t13 @t6 (or (= @t1 @t7) @t34 (exists @t20 (and @t19 @t54 (tptp.sdtmndtplgtdt0 @t18 tptp.xR @t7))) @t32 (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t7)) (or @t23 @t33 @t56 @t52 @t51)) (=> (tptp.iLess0 @t1 tptp.xa) @t47)))) % 5.42/5.62 (assume @p19 @t164) % 5.42/5.62 (assume @p20 true) % 5.42/5.62 (step @p21 :rule and_elim :premises (@p17) :args (2)) % 5.42/5.62 (step @p22 :rule cnf_and_pos :args (@t169 0)) % 5.42/5.62 (step @p23 :rule reordering :premises (@p22) :args ((or @t168 (not @t169)))) % 5.42/5.62 (step @p24 :rule quant-merge-prenex :args ((= (forall @t3 @t188) @t187))) % 5.42/5.62 (step @p25 :rule quant-unused-vars :args ((= @t190 @t170))) % 5.42/5.62 (step @p26 :rule quant-unused-vars :args ((= @t191 @t171))) % 5.42/5.62 (step @p27 :rule alpha_equiv :args (@t192 (@list @t172) @t193)) % 5.42/5.62 (step @p28 :rule quant-unused-vars :args ((= @t194 @t174))) % 5.42/5.62 (step @p29 :rule quant-unused-vars :args ((= @t195 @t176))) % 5.42/5.62 (step @p30 :rule nary_cong :premises (@p29 @p28 @p27 @p26 @p25) :args (@t196)) % 5.42/5.62 (step @p31 :rule quant-miniscope-and :args ((= @t197 @t196))) % 5.42/5.62 (step @p32 :rule trans :premises (@p31 @p30)) % 5.42/5.62 (step @p33 :rule quant-unused-vars :args ((= @t199 @t178))) % 5.42/5.62 (step @p34 :rule quant-unused-vars :args ((= @t200 @t179))) % 5.42/5.62 (step @p35 :rule alpha_equiv :args (@t201 (@list @t180) @t193)) % 5.42/5.62 (step @p36 :rule quant-unused-vars :args ((= @t202 @t182))) % 5.42/5.62 (step @p37 :rule quant-unused-vars :args ((= @t203 @t183))) % 5.42/5.62 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35 @p34 @p33) :args (@t204)) % 5.42/5.62 (step @p39 :rule quant-miniscope-and :args ((= @t205 @t204))) % 5.42/5.62 (step @p40 :rule trans :premises (@p39 @p38)) % 5.42/5.62 (step @p41 :rule refl :args (@t185)) % 5.42/5.62 (step @p42 :rule nary_cong :premises (@p41 @p40 @p32) :args (@t206)) % 5.42/5.62 (step @p43 :rule quant-miniscope-or :args ((= @t188 @t206))) % 5.42/5.62 (step @p44 :rule trans :premises (@p43 @p42)) % 5.42/5.62 (step @p45 :rule symm :premises (@p44)) % 5.42/5.62 (step @p46 :rule cong :premises (@p45) :args ((forall @t3 (or @t185 (and @t183 @t182 @t214 @t179 @t178) (and @t176 @t174 @t211 @t171 @t170))))) % 5.42/5.62 (step @p47 :rule trans :premises (@p46 @p24)) % 5.42/5.62 (step @p48 :rule refl :args (@t170)) % 5.42/5.62 (step @p49 :rule refl :args (@t171)) % 5.42/5.62 (step @p50 :rule bool-double-not-elim :args (@t211)) % 5.42/5.62 (step @p51 :rule refl :args (@t174)) % 5.42/5.62 (step @p52 :rule refl :args (@t176)) % 5.42/5.62 (step @p53 :rule nary_cong :premises (@p52 @p51 @p50 @p49 @p48) :args (@t217)) % 5.42/5.62 (step @p54 :rule aci_norm :args ((= (and @t176 (and @t174 (and @t216 (and @t171 @t170)))) @t217))) % 5.42/5.62 (step @p55 :rule trans :premises (@p54 @p53)) % 5.42/5.62 (step @p56 :rule bool-or-de-morgan :args (@t58 @t57 false)) % 5.42/5.62 (step @p57 :rule refl :args (@t216)) % 5.42/5.62 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((and @t216 (not (or @t58 @t57))))) % 5.42/5.62 (step @p59 :rule bool-or-de-morgan :args (@t215 @t58 (or @t57))) % 5.42/5.62 (step @p60 :rule trans :premises (@p59 @p58)) % 5.42/5.62 (step @p61 :rule nary_cong :premises (@p51 @p60) :args ((and @t174 (not (or @t215 @t58 @t57))))) % 5.42/5.62 (step @p62 :rule bool-or-de-morgan :args (@t63 @t215 (or @t58 @t57))) % 5.42/5.62 (step @p63 :rule trans :premises (@p62 @p61)) % 5.42/5.62 (step @p64 :rule nary_cong :premises (@p52 @p63) :args ((and @t176 (not (or @t63 @t215 @t58 @t57))))) % 5.42/5.62 (step @p65 :rule bool-or-de-morgan :args (@t175 @t63 (or @t215 @t58 @t57))) % 5.42/5.62 (step @p66 :rule trans :premises (@p65 @p64)) % 5.42/5.62 (step @p67 :rule trans :premises (@p66 @p55)) % 5.42/5.62 (step @p68 :rule refl :args (@t178)) % 5.42/5.62 (step @p69 :rule refl :args (@t179)) % 5.42/5.62 (step @p70 :rule bool-double-not-elim :args (@t214)) % 5.42/5.62 (step @p71 :rule refl :args (@t182)) % 5.42/5.62 (step @p72 :rule refl :args (@t183)) % 5.42/5.62 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70 @p69 @p68) :args (@t220)) % 5.42/5.62 (step @p74 :rule aci_norm :args ((= (and @t183 (and @t182 (and @t219 (and @t179 @t178)))) @t220))) % 5.42/5.62 (step @p75 :rule trans :premises (@p74 @p73)) % 5.42/5.62 (step @p76 :rule bool-or-de-morgan :args (@t66 @t65 false)) % 5.42/5.62 (step @p77 :rule refl :args (@t219)) % 5.42/5.62 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((and @t219 (not (or @t66 @t65))))) % 5.42/5.62 (step @p79 :rule bool-or-de-morgan :args (@t218 @t66 (or @t65))) % 5.42/5.62 (step @p80 :rule trans :premises (@p79 @p78)) % 5.42/5.62 (step @p81 :rule nary_cong :premises (@p71 @p80) :args ((and @t182 (not (or @t218 @t66 @t65))))) % 5.42/5.62 (step @p82 :rule bool-or-de-morgan :args (@t70 @t218 (or @t66 @t65))) % 5.42/5.62 (step @p83 :rule trans :premises (@p82 @p81)) % 5.42/5.62 (step @p84 :rule nary_cong :premises (@p72 @p83) :args ((and @t183 (not (or @t70 @t218 @t66 @t65))))) % 5.42/5.62 (step @p85 :rule bool-or-de-morgan :args (@t155 @t70 (or @t218 @t66 @t65))) % 5.42/5.62 (step @p86 :rule trans :premises (@p85 @p84)) % 5.42/5.62 (step @p87 :rule trans :premises (@p86 @p75)) % 5.42/5.62 (step @p88 :rule nary_cong :premises (@p41 @p87 @p67) :args (@t225)) % 5.42/5.62 (step @p89 :rule aci_norm :args ((= (or @t185 (or @t224 @t222)) @t225))) % 5.42/5.62 (step @p90 :rule bool-and-de-morgan :args (@t223 @t221 true)) % 5.42/5.62 (step @p91 :rule nary_cong :premises (@p41 @p90) :args ((or @t185 (not (and @t223 @t221))))) % 5.42/5.62 (step @p92 :rule bool-and-de-morgan :args (@t2 @t223 (and @t221))) % 5.42/5.62 (step @p93 :rule trans :premises (@p92 @p91)) % 5.42/5.62 (step @p94 :rule trans :premises (@p93 @p89)) % 5.42/5.62 (step @p95 :rule trans :premises (@p94 @p88)) % 5.42/5.62 (step @p96 :rule cong :premises (@p95) :args (@t227)) % 5.42/5.62 (step @p97 :rule trans :premises (@p96 @p47)) % 5.42/5.62 (step @p98 :rule cong :premises (@p97) :args (@t228)) % 5.42/5.62 (step @p99 :rule exists-elim :args ((= (exists @t3 @t226) @t228))) % 5.42/5.62 (step @p100 :rule trans :premises (@p99 @p98)) % 5.42/5.62 (step @p101 :rule refl :args (@t57)) % 5.42/5.62 (step @p102 :rule refl :args (@t58)) % 5.42/5.62 (step @p103 :rule aci_norm :args ((= (or @t209 (or @t208 @t207)) @t210))) % 5.42/5.62 (step @p104 :rule bool-and-de-morgan :args (@t60 @t59 true)) % 5.42/5.62 (step @p105 :rule refl :args (@t209)) % 5.42/5.62 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t209 (not (and @t60 @t59))))) % 5.42/5.62 (step @p107 :rule bool-and-de-morgan :args (@t13 @t60 (and @t59))) % 5.42/5.62 (step @p108 :rule trans :premises (@p107 @p106)) % 5.42/5.62 (step @p109 :rule trans :premises (@p108 @p103)) % 5.42/5.62 (step @p110 :rule cong :premises (@p109) :args (@t229)) % 5.42/5.62 (step @p111 :rule cong :premises (@p110) :args (@t230)) % 5.42/5.62 (step @p112 :rule exists-elim :args ((= @t62 @t230))) % 5.42/5.62 (step @p113 :rule trans :premises (@p112 @p111)) % 5.42/5.62 (step @p114 :rule refl :args (@t63)) % 5.42/5.62 (step @p115 :rule eq-symm :args (tptp.xc @t1)) % 5.42/5.62 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p102 @p101) :args (@t64)) % 5.42/5.62 (step @p117 :rule refl :args (@t65)) % 5.42/5.62 (step @p118 :rule refl :args (@t66)) % 5.42/5.62 (step @p119 :rule aci_norm :args ((= (or @t209 (or @t212 @t207)) @t213))) % 5.42/5.62 (step @p120 :rule bool-and-de-morgan :args (@t67 @t59 true)) % 5.42/5.62 (step @p121 :rule nary_cong :premises (@p105 @p120) :args ((or @t209 (not (and @t67 @t59))))) % 5.42/5.62 (step @p122 :rule bool-and-de-morgan :args (@t13 @t67 (and @t59))) % 5.42/5.62 (step @p123 :rule trans :premises (@p122 @p121)) % 5.42/5.62 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@p849 :rule refl :args (@t635)) % 5.42/5.63 (step @p850 :rule refl :args (@t637)) % 5.42/5.63 (step @p851 :rule refl :args (@t638)) % 5.42/5.63 (step @p852 :rule refl :args (@t639)) % 5.42/5.63 (step @p853 :rule refl :args (@t641)) % 5.42/5.63 (step @p854 :rule refl :args (@t642)) % 5.42/5.63 (step @p855 :rule refl :args (@t643)) % 5.42/5.63 (step @p856 :rule refl :args (@t644)) % 5.42/5.63 (step @p857 :rule refl :args (@t646)) % 5.42/5.63 (step @p858 :rule eq-symm :args (@t634 tptp.xb)) % 5.42/5.63 (step @p859 :rule cong :premises (@p858) :args (@t663)) % 5.42/5.63 (step @p860 :rule nary_cong :premises (@p859 @p857) :args (@t664)) % 5.42/5.63 (step @p861 :rule refl :args (@t647)) % 5.42/5.63 (step @p862 :rule refl :args (@t648)) % 5.42/5.63 (step @p863 :rule nary_cong :premises (@p862 @p861 @p860 @p856 @p855 @p854 @p853 @p852 @p851 @p850 @p849 @p848 @p847 @p825 @p846 @p845 @p844 @p843 @p842 @p818 @p841 @p811) :args (@t665)) % 5.42/5.63 (step @p864 :rule cong :premises (@p863) :args 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% 5.42/5.63 (step @p879 :rule cnf_and_neg :args (@t668)) % 5.42/5.63 (step @p880 :rule chain_m_resolution :premises (@p879 @p878 @p790) :args ((not @t667) (@list true false) (@list @t668 @t605))) % 5.42/5.63 (step @p881 :rule cnf_or_neg :args (@t667 2)) % 5.42/5.63 (step @p882 :rule chain_m_resolution :premises (@p881 @p880) :args (@t585 @t604 (@list @t667))) % 5.42/5.63 (step @p883 :rule chain_m_resolution :premises (@p778 @p882) :args (@t601 @t604 (@list @t86))) % 5.42/5.63 (step @p884 :rule chain_m_resolution :premises (@p782 @p883) :args (@t93 @t604 (@list @t600))) % 5.42/5.63 (assume-push @p960 @t75) % 5.42/5.63 (assume-push @p961 @t93) % 5.42/5.63 (assume-push @p962 @t75) % 5.42/5.63 (assume-push @p963 @t93) % 5.42/5.63 (step @p889 :rule true_intro :premises (@p960)) % 5.42/5.63 (step @p890 :rule refl :args (tptp.xc)) % 5.42/5.63 (step @p751 :rule refl :args (tptp.xR)) % 5.42/5.63 (step @p891 :rule symm :premises (@p961)) % 5.42/5.63 (step @p892 :rule cong :premises (@p891 @p751 @p890) :args (@t670)) % 5.42/5.63 (step @p893 :rule trans :premises (@p892 @p889)) % 5.42/5.63 (step @p894 :rule true_elim :premises (@p893)) % 5.42/5.63 (step-pop @p964 :rule scope :premises (@p894)) % 5.42/5.63 (step-pop @p965 :rule scope :premises (@p964)) % 5.42/5.63 (step @p895 :rule process_scope :premises (@p965) :args (@t670)) % 5.42/5.63 (step @p898 :rule and_intro :premises (@p960 @p961)) % 5.42/5.63 (step @p899 :rule modus_ponens :premises (@p898 @p895)) % 5.42/5.63 (step-pop @p966 :rule scope :premises (@p899)) % 5.42/5.63 (step-pop @p967 :rule scope :premises (@p966)) % 5.42/5.63 (step @p900 :rule process_scope :premises (@p967) :args (@t670)) % 5.42/5.63 (step @p903 :rule implies_elim :premises (@p900)) % 5.42/5.63 (step @p904 :rule cnf_and_neg :args (@t671)) % 5.42/5.63 (step @p905 :rule resolution :premises (@p904 @p903) :args (true @t671)) % 5.42/5.63 (step @p906 :rule chain_m_resolution :premises (@p905 @p788 @p884) :args (@t670 @t594 (@list @t75 @t93))) % 5.42/5.63 (step @p907 :rule cnf_and_pos :args (@t678 3)) % 5.42/5.63 (step @p908 :rule reordering :premises (@p907) :args ((or @t673 @t679))) % 5.42/5.63 (step @p909 :rule chain_m_resolution :premises (@p908 @p906) :args (@t679 @t592 (@list @t670))) % 5.42/5.63 (step @p910 :rule aci_norm :args ((= (or @t676 @t678 false) @t680))) % 5.42/5.63 (step @p911 :rule absorb :args ((= (and false @t683 @t682 @t674 @t681) false))) % 5.42/5.63 (step @p912 :rule refl :args (@t681)) % 5.42/5.63 (step @p913 :rule refl :args (@t674)) % 5.42/5.63 (step @p914 :rule refl :args (@t682)) % 5.42/5.63 (step @p915 :rule refl :args (@t683)) % 5.42/5.63 (step @p916 :rule eq-refl :args (tptp.xc)) % 5.42/5.63 (step @p917 :rule cong :premises (@p916) :args (@t684)) % 5.42/5.63 (step @p918 :rule trans :premises (@p917 @p716)) % 5.42/5.63 (step @p919 :rule nary_cong :premises (@p918 @p915 @p914 @p913 @p912) :args (@t685)) % 5.42/5.63 (step @p920 :rule trans :premises (@p919 @p911)) % 5.42/5.63 (step @p921 :rule refl :args (@t672)) % 5.42/5.63 (step @p922 :rule refl :args (@t673)) % 5.42/5.63 (step @p923 :rule refl :args (@t677)) % 5.42/5.63 (step @p924 :rule refl :args (@t675)) % 5.42/5.63 (step @p925 :rule eq-symm :args (tptp.xc tptp.xb)) % 5.42/5.63 (step @p926 :rule cong :premises (@p925) :args (@t686)) % 5.42/5.63 (step @p927 :rule nary_cong :premises (@p926 @p924 @p923 @p922 @p921) :args (@t687)) % 5.42/5.63 (step @p928 :rule refl :args (@t676)) % 5.42/5.63 (step @p929 :rule nary_cong :premises (@p928 @p927 @p920) :args (@t688)) % 5.42/5.63 (step @p930 :rule trans :premises (@p929 @p910)) % 5.42/5.63 (step @p931 :rule cong :premises (@p725 @p930) :args ((=> @t187 @t688))) % 5.42/5.63 (assume-push @p968 @t187) % 5.42/5.63 (step @p933 :rule instantiate :premises (@p708) :args ((@list tptp.xc tptp.xc tptp.xa))) % 5.42/5.65 (step-pop @p969 :rule scope :premises (@p933)) % 5.42/5.65 (step @p934 :rule process_scope :premises (@p969) :args (@t688)) % 5.42/5.65 (step @p936 :rule eq_resolve :premises (@p934 @p931)) % 5.42/5.65 (step @p937 :rule implies_elim :premises (@p936)) % 5.42/5.65 (step @p938 :rule chain_m_resolution :premises (@p937 @p708) :args (@t680 @t592 @t593)) % 5.42/5.65 (step @p939 :rule cnf_or_pos :args (@t680)) % 5.42/5.65 (step @p940 :rule reordering :premises (@p939) :args ((or @t676 @t678 (not @t680)))) % 5.42/5.65 (step @p941 false :rule chain_m_resolution :premises (@p940 @p938 @p909 @p21) :args (false (@list false true false) (@list @t680 @t678 @t48))) % 5.42/5.65 ) % 5.42/5.65 % SZS output end Proof % 5.42/5.66 % cvc5 exiting %------------------------------------------------------------------------------