%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM017+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 : 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 08:10:25 AM UTC 2026 % Result : Theorem 15.70s 16.03s % Output : Proof 15.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM017+4 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 20:28:15 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.70/16.03 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.70/16.03 --- Run --no-e-matching --full-saturate-quant at 6... % 15.70/16.03 % SZS status Theorem % 15.70/16.03 % SZS output start Proof % 15.70/16.03 ( % 15.70/16.03 (declare-sort $$unsorted 0) % 15.70/16.03 (declare-const tptp.xv $$unsorted) % 15.70/16.03 (declare-const tptp.xu $$unsorted) % 15.70/16.03 (declare-const tptp.xa $$unsorted) % 15.70/16.03 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 15.70/16.03 (declare-const tptp.aRewritingSystem0 (-> $$unsorted Bool)) % 15.70/16.03 (declare-const tptp.sdtmndtplgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.70/16.03 (declare-const tptp.sdtmndtasgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.70/16.03 (declare-const tptp.aReductOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.70/16.03 (declare-const tptp.isLocallyConfluent0 (-> $$unsorted Bool)) % 15.70/16.03 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 15.70/16.03 (declare-const tptp.isConfluent0 (-> $$unsorted Bool)) % 15.70/16.03 (declare-const tptp.xR $$unsorted) % 15.70/16.03 (declare-const tptp.isTerminating0 (-> $$unsorted Bool)) % 15.70/16.03 (declare-const tptp.aNormalFormOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.70/16.03 (declare-const tptp.xc $$unsorted) % 15.70/16.03 (declare-const tptp.xb $$unsorted) % 15.70/16.03 (define @t1 () (@var "W0" $$unsorted)) % 15.70/16.03 (define @t2 () (tptp.aElement0 @t1)) % 15.70/16.03 (define @t3 () (@list @t1)) % 15.70/16.03 (define @t4 () (tptp.aRewritingSystem0 @t1)) % 15.70/16.03 (define @t5 () (@var "W2" $$unsorted)) % 15.70/16.03 (define @t6 () (tptp.aElement0 @t5)) % 15.70/16.03 (define @t7 () (@var "W1" $$unsorted)) % 15.70/16.03 (define @t8 () (tptp.aReductOfIn0 @t5 @t1 @t7)) % 15.70/16.03 (define @t9 () (@list @t5)) % 15.70/16.03 (define @t10 () (tptp.aRewritingSystem0 @t7)) % 15.70/16.03 (define @t11 () (and @t2 @t10)) % 15.70/16.03 (define @t12 () (@list @t1 @t7)) % 15.70/16.03 (define @t13 () (tptp.aElement0 @t7)) % 15.70/16.03 (define @t14 () (and @t2 @t13)) % 15.70/16.03 (define @t15 () (tptp.sdtmndtplgtdt0 @t1 @t7 @t5)) % 15.70/16.03 (define @t16 () (and @t2 @t10 @t6)) % 15.70/16.03 (define @t17 () (@list @t1 @t7 @t5)) % 15.70/16.03 (define @t18 () (@var "W3" $$unsorted)) % 15.70/16.03 (define @t19 () (tptp.aElement0 @t18)) % 15.70/16.03 (define @t20 () (@list @t18)) % 15.70/16.03 (define @t21 () (and @t2 @t10 @t6 @t19)) % 15.70/16.03 (define @t22 () (@list @t1 @t7 @t5 @t18)) % 15.70/16.03 (define @t23 () (= @t1 @t5)) % 15.70/16.03 (define @t24 () (tptp.sdtmndtasgtdt0 @t1 @t7 @t5)) % 15.70/16.03 (define @t25 () (@var "W4" $$unsorted)) % 15.70/16.03 (define @t26 () (tptp.aElement0 @t25)) % 15.70/16.03 (define @t27 () (@list @t25)) % 15.70/16.03 (define @t28 () (exists @t27 (and @t26 (tptp.sdtmndtasgtdt0 @t5 @t1 @t25) (tptp.sdtmndtasgtdt0 @t18 @t1 @t25)))) % 15.70/16.03 (define @t29 () (@list @t7 @t5 @t18)) % 15.70/16.03 (define @t30 () (tptp.isTerminating0 @t1)) % 15.70/16.03 (define @t31 () (@list @t7)) % 15.70/16.03 (define @t32 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR @t7)) % 15.70/16.03 (define @t33 () (tptp.aReductOfIn0 @t5 @t1 tptp.xR)) % 15.70/16.03 (define @t34 () (tptp.aReductOfIn0 @t7 @t1 tptp.xR)) % 15.70/16.03 (define @t35 () (tptp.sdtmndtasgtdt0 @t5 tptp.xR @t18)) % 15.70/16.03 (define @t36 () (tptp.sdtmndtplgtdt0 @t5 tptp.xR @t18)) % 15.70/16.03 (define @t37 () (tptp.sdtmndtplgtdt0 @t25 tptp.xR @t18)) % 15.70/16.03 (define @t38 () (tptp.aReductOfIn0 @t25 @t5 tptp.xR)) % 15.70/16.03 (define @t39 () (and @t26 @t38 @t37)) % 15.70/16.03 (define @t40 () (exists @t27 @t39)) % 15.70/16.03 (define @t41 () (tptp.aReductOfIn0 @t18 @t5 tptp.xR)) % 15.70/16.03 (define @t42 () (or @t41 @t40)) % 15.70/16.03 (define @t43 () (and @t42 @t36)) % 15.70/16.03 (define @t44 () (= @t5 @t18)) % 15.70/16.03 (define @t45 () (or @t44 @t43)) % 15.70/16.03 (define @t46 () (tptp.sdtmndtasgtdt0 @t7 tptp.xR @t18)) % 15.70/16.03 (define @t47 () (tptp.sdtmndtplgtdt0 @t7 tptp.xR @t18)) % 15.70/16.03 (define @t48 () (tptp.aReductOfIn0 @t25 @t7 tptp.xR)) % 15.70/16.03 (define @t49 () (and @t26 @t48 @t37)) % 15.70/16.03 (define @t50 () (exists @t27 @t49)) % 15.70/16.03 (define @t51 () (tptp.aReductOfIn0 @t18 @t7 tptp.xR)) % 15.70/16.03 (define @t52 () (or @t51 @t50)) % 15.70/16.03 (define @t53 () (and @t52 @t47)) % 15.70/16.03 (define @t54 () (= @t7 @t18)) % 15.70/16.03 (define @t55 () (or @t54 @t53)) % 15.70/16.03 (define @t56 () (and @t19 @t55 @t46 @t45 @t35)) % 15.70/16.03 (define @t57 () (exists @t20 @t56)) % 15.70/16.03 (define @t58 () (and @t2 @t13 @t6 @t34 @t33)) % 15.70/16.03 (define @t59 () (=> @t58 @t57)) % 15.70/16.03 (define @t60 () (forall @t17 @t59)) % 15.70/16.03 (define @t61 () (tptp.aElement0 tptp.xa)) % 15.70/16.03 (define @t62 () (tptp.aReductOfIn0 @t18 @t1 tptp.xR)) % 15.70/16.03 (define @t63 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xc)) % 15.70/16.03 (define @t64 () (tptp.aReductOfIn0 @t1 tptp.xa tptp.xR)) % 15.70/16.03 (define @t65 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xb)) % 15.70/16.03 (define @t66 () (tptp.aReductOfIn0 @t1 tptp.xu tptp.xR)) % 15.70/16.03 (define @t67 () (tptp.aReductOfIn0 tptp.xu tptp.xa tptp.xR)) % 15.70/16.03 (define @t68 () (tptp.aElement0 tptp.xu)) % 15.70/16.03 (define @t69 () (tptp.aReductOfIn0 @t1 tptp.xv tptp.xR)) % 15.70/16.03 (define @t70 () (tptp.aReductOfIn0 tptp.xv tptp.xa tptp.xR)) % 15.70/16.03 (define @t71 () (tptp.aElement0 tptp.xv)) % 15.70/16.03 (define @t72 () (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR @t1)) % 15.70/16.03 (define @t73 () (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR @t1)) % 15.70/16.03 (define @t74 () (tptp.sdtmndtplgtdt0 @t7 tptp.xR @t1)) % 15.70/16.03 (define @t75 () (tptp.aReductOfIn0 @t7 tptp.xv tptp.xR)) % 15.70/16.03 (define @t76 () (and @t13 @t75 @t74)) % 15.70/16.03 (define @t77 () (exists @t31 @t76)) % 15.70/16.03 (define @t78 () (or (= tptp.xv @t1) @t69 @t77 @t73 @t72)) % 15.70/16.03 (define @t79 () (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR @t1)) % 15.70/16.03 (define @t80 () (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR @t1)) % 15.70/16.03 (define @t81 () (tptp.aReductOfIn0 @t7 tptp.xu tptp.xR)) % 15.70/16.03 (define @t82 () (and @t13 @t81 @t74)) % 15.70/16.03 (define @t83 () (exists @t31 @t82)) % 15.70/16.03 (define @t84 () (or (= tptp.xu @t1) @t66 @t83 @t80 @t79)) % 15.70/16.03 (define @t85 () (and @t2 @t84 @t78)) % 15.70/16.03 (define @t86 () (exists @t3 @t85)) % 15.70/16.03 (define @t87 () (not @t86)) % 15.70/16.03 (define @t88 () (not @t35)) % 15.70/16.03 (define @t89 () (not @t36)) % 15.70/16.03 (define @t90 () (@var "BOUND_VARIABLE_7902" $$unsorted)) % 15.70/16.03 (define @t91 () (not (tptp.sdtmndtplgtdt0 @t90 tptp.xR @t18))) % 15.70/16.03 (define @t92 () (not (tptp.aElement0 @t90))) % 15.70/16.03 (define @t93 () (or @t92 (not (tptp.aReductOfIn0 @t90 @t5 tptp.xR)) @t91)) % 15.70/16.03 (define @t94 () (not @t41)) % 15.70/16.03 (define @t95 () (and @t94 @t93)) % 15.70/16.03 (define @t96 () (or @t95 @t89)) % 15.70/16.03 (define @t97 () (not @t44)) % 15.70/16.03 (define @t98 () (and @t97 @t96)) % 15.70/16.03 (define @t99 () (not @t46)) % 15.70/16.03 (define @t100 () (not @t47)) % 15.70/16.03 (define @t101 () (@var "BOUND_VARIABLE_7890" $$unsorted)) % 15.70/16.03 (define @t102 () (not (tptp.sdtmndtplgtdt0 @t101 tptp.xR @t18))) % 15.70/16.03 (define @t103 () (not (tptp.aElement0 @t101))) % 15.70/16.03 (define @t104 () (or @t103 (not (tptp.aReductOfIn0 @t101 @t7 tptp.xR)) @t102)) % 15.70/16.03 (define @t105 () (not @t51)) % 15.70/16.03 (define @t106 () (and @t105 @t104)) % 15.70/16.03 (define @t107 () (or @t106 @t100)) % 15.70/16.03 (define @t108 () (not @t54)) % 15.70/16.03 (define @t109 () (and @t108 @t107)) % 15.70/16.03 (define @t110 () (not @t19)) % 15.70/16.03 (define @t111 () (or @t110 @t109 @t99 @t98 @t88)) % 15.70/16.03 (define @t112 () (@list @t18 @t101 @t90)) % 15.70/16.03 (define @t113 () (forall @t112 @t111)) % 15.70/16.03 (define @t114 () (not @t113)) % 15.70/16.03 (define @t115 () (not @t33)) % 15.70/16.03 (define @t116 () (not @t34)) % 15.70/16.03 (define @t117 () (not @t6)) % 15.70/16.03 (define @t118 () (not @t13)) % 15.70/16.03 (define @t119 () (not @t2)) % 15.70/16.03 (define @t120 () (or @t119 @t118 @t117 @t116 @t115 @t114)) % 15.70/16.03 (define @t121 () (or @t119 @t118 @t117 @t116 @t115)) % 15.70/16.03 (define @t122 () (forall (@list @t101 @t90) @t111)) % 15.70/16.03 (define @t123 () (@list @t90)) % 15.70/16.03 (define @t124 () (forall @t123 @t93)) % 15.70/16.03 (define @t125 () (@list @t25)) % 15.70/16.03 (define @t126 () (forall @t123 @t94)) % 15.70/16.03 (define @t127 () (and @t126 @t124)) % 15.70/16.03 (define @t128 () (forall @t123 @t95)) % 15.70/16.03 (define @t129 () (or @t128 @t89)) % 15.70/16.03 (define @t130 () (forall @t123 @t96)) % 15.70/16.03 (define @t131 () (forall @t123 @t97)) % 15.70/16.03 (define @t132 () (and @t131 @t130)) % 15.70/16.03 (define @t133 () (forall @t123 @t98)) % 15.70/16.03 (define @t134 () (@list @t101)) % 15.70/16.03 (define @t135 () (forall @t134 @t104)) % 15.70/16.03 (define @t136 () (forall @t134 @t105)) % 15.70/16.03 (define @t137 () (and @t136 @t135)) % 15.70/16.03 (define @t138 () (forall @t134 @t106)) % 15.70/16.03 (define @t139 () (or @t138 @t100)) % 15.70/16.03 (define @t140 () (forall @t134 @t107)) % 15.70/16.03 (define @t141 () (forall @t134 @t108)) % 15.70/16.03 (define @t142 () (and @t141 @t140)) % 15.70/16.03 (define @t143 () (forall @t134 @t109)) % 15.70/16.03 (define @t144 () (or @t110 @t143 @t99 @t133 @t88)) % 15.70/16.03 (define @t145 () (not @t37)) % 15.70/16.03 (define @t146 () (not @t38)) % 15.70/16.03 (define @t147 () (not @t26)) % 15.70/16.03 (define @t148 () (or @t147 @t146 @t145)) % 15.70/16.03 (define @t149 () (forall @t27 @t148)) % 15.70/16.03 (define @t150 () (not @t48)) % 15.70/16.03 (define @t151 () (or @t147 @t150 @t145)) % 15.70/16.03 (define @t152 () (forall @t27 @t151)) % 15.70/16.03 (define @t153 () (not @t149)) % 15.70/16.03 (define @t154 () (or @t41 @t153)) % 15.70/16.03 (define @t155 () (and @t154 @t36)) % 15.70/16.03 (define @t156 () (not @t152)) % 15.70/16.03 (define @t157 () (or @t51 @t156)) % 15.70/16.03 (define @t158 () (and @t157 @t47)) % 15.70/16.03 (define @t159 () (or @t44 @t155)) % 15.70/16.03 (define @t160 () (not @t159)) % 15.70/16.03 (define @t161 () (or @t54 @t158)) % 15.70/16.03 (define @t162 () (not @t161)) % 15.70/16.03 (define @t163 () (or @t110 @t162 @t99 @t160 @t88)) % 15.70/16.03 (define @t164 () (and @t19 @t161 @t46 @t159 @t35)) % 15.70/16.03 (define @t165 () (forall @t20 (not @t164))) % 15.70/16.03 (define @t166 () (not @t165)) % 15.70/16.03 (define @t167 () (forall @t27 (not @t39))) % 15.70/16.03 (define @t168 () (not @t167)) % 15.70/16.03 (define @t169 () (forall @t27 (not @t49))) % 15.70/16.03 (define @t170 () (not @t169)) % 15.70/16.03 (define @t171 () (not (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR @t18))) % 15.70/16.03 (define @t172 () (or (and (not (tptp.aReductOfIn0 @t18 tptp.xv tptp.xR)) (or @t92 (not (tptp.aReductOfIn0 @t90 tptp.xv tptp.xR)) @t91)) (not (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR @t18)))) % 15.70/16.03 (define @t173 () (not (= tptp.xv @t18))) % 15.70/16.03 (define @t174 () (and @t173 @t172)) % 15.70/16.03 (define @t175 () (not (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR @t18))) % 15.70/16.03 (define @t176 () (or (and (not (tptp.aReductOfIn0 @t18 tptp.xu tptp.xR)) (or @t103 (not (tptp.aReductOfIn0 @t101 tptp.xu tptp.xR)) @t102)) (not (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR @t18)))) % 15.70/16.03 (define @t177 () (not (= tptp.xu @t18))) % 15.70/16.03 (define @t178 () (and @t177 @t176)) % 15.70/16.03 (define @t179 () (or @t110 @t178 @t175 @t174 @t171)) % 15.70/16.03 (define @t180 () (forall @t112 @t179)) % 15.70/16.03 (define @t181 () (not @t180)) % 15.70/16.03 (define @t182 () (not @t70)) % 15.70/16.03 (define @t183 () (not @t67)) % 15.70/16.03 (define @t184 () (not @t71)) % 15.70/16.03 (define @t185 () (not @t68)) % 15.70/16.03 (define @t186 () (not @t61)) % 15.70/16.03 (define @t187 () (or @t186 @t185 @t184 @t183 @t182 @t181)) % 15.70/16.03 (define @t188 () (forall @t17 @t120)) % 15.70/16.03 (define @t189 () (forall @t112 (or @t110 (and (not (= @t18 tptp.xu)) @t176) @t175 (and (not (= @t18 tptp.xv)) @t172) @t171))) % 15.70/16.03 (define @t190 () (not @t189)) % 15.70/16.03 (define @t191 () (or @t186 @t185 @t184 @t183 @t182 @t190)) % 15.70/16.03 (define @t192 () (@list false)) % 15.70/16.03 (define @t193 () (@quantifiers_skolemize @t189 0)) % 15.70/16.03 (define @t194 () (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR @t193)) % 15.70/16.03 (define @t195 () (not @t194)) % 15.70/16.03 (define @t196 () (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR @t193)) % 15.70/16.03 (define @t197 () (not @t196)) % 15.70/16.03 (define @t198 () (@quantifiers_skolemize @t189 2)) % 15.70/16.03 (define @t199 () (not (tptp.aReductOfIn0 @t193 tptp.xv tptp.xR))) % 15.70/16.03 (define @t200 () (or (and @t199 (or (not (tptp.aElement0 @t198)) (not (tptp.aReductOfIn0 @t198 tptp.xv tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t198 tptp.xR @t193)))) @t197)) % 15.70/16.03 (define @t201 () (= tptp.xv @t193)) % 15.70/16.03 (define @t202 () (not @t201)) % 15.70/16.03 (define @t203 () (and @t202 @t200)) % 15.70/16.03 (define @t204 () (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR @t193)) % 15.70/16.03 (define @t205 () (not @t204)) % 15.70/16.03 (define @t206 () (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR @t193)) % 15.70/16.03 (define @t207 () (not @t206)) % 15.70/16.03 (define @t208 () (@quantifiers_skolemize @t189 1)) % 15.70/16.03 (define @t209 () (not (tptp.aReductOfIn0 @t193 tptp.xu tptp.xR))) % 15.70/16.03 (define @t210 () (or (and @t209 (or (not (tptp.aElement0 @t208)) (not (tptp.aReductOfIn0 @t208 tptp.xu tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t208 tptp.xR @t193)))) @t207)) % 15.70/16.03 (define @t211 () (= tptp.xu @t193)) % 15.70/16.03 (define @t212 () (not @t211)) % 15.70/16.03 (define @t213 () (and @t212 @t210)) % 15.70/16.03 (define @t214 () (tptp.aElement0 @t193)) % 15.70/16.03 (define @t215 () (not @t214)) % 15.70/16.03 (define @t216 () (or @t215 @t213 @t205 @t203 @t195)) % 15.70/16.03 (define @t217 () (not @t216)) % 15.70/16.03 (define @t218 () (not (= @t193 tptp.xv))) % 15.70/16.03 (define @t219 () (and @t218 @t200)) % 15.70/16.03 (define @t220 () (not (= @t193 tptp.xu))) % 15.70/16.03 (define @t221 () (and @t220 @t210)) % 15.70/16.03 (define @t222 () (or @t215 @t221 @t205 @t219 @t195)) % 15.70/16.03 (define @t223 () (not @t222)) % 15.70/16.03 (define @t224 () (@list true)) % 15.70/16.03 (define @t225 () (@list @t216)) % 15.70/16.03 (define @t226 () (not @t72)) % 15.70/16.03 (define @t227 () (not @t73)) % 15.70/16.03 (define @t228 () (@var "BOUND_VARIABLE_8109" $$unsorted)) % 15.70/16.03 (define @t229 () (or (not (tptp.aElement0 @t228)) (not (tptp.aReductOfIn0 @t228 tptp.xv tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t228 tptp.xR @t1)))) % 15.70/16.03 (define @t230 () (not @t69)) % 15.70/16.03 (define @t231 () (= @t1 tptp.xv)) % 15.70/16.03 (define @t232 () (not @t231)) % 15.70/16.03 (define @t233 () (and @t232 @t230 @t229 @t227 @t226)) % 15.70/16.03 (define @t234 () (not @t79)) % 15.70/16.03 (define @t235 () (not @t80)) % 15.70/16.03 (define @t236 () (@var "BOUND_VARIABLE_8099" $$unsorted)) % 15.70/16.03 (define @t237 () (or (not (tptp.aElement0 @t236)) (not (tptp.aReductOfIn0 @t236 tptp.xu tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t236 tptp.xR @t1)))) % 15.70/16.03 (define @t238 () (not @t66)) % 15.70/16.03 (define @t239 () (= @t1 tptp.xu)) % 15.70/16.03 (define @t240 () (not @t239)) % 15.70/16.03 (define @t241 () (and @t240 @t238 @t237 @t235 @t234)) % 15.70/16.03 (define @t242 () (or @t119 @t241 @t233)) % 15.70/16.03 (define @t243 () (forall (@list @t1 @t236 @t228) @t242)) % 15.70/16.03 (define @t244 () (forall (@list @t236 @t228) @t242)) % 15.70/16.03 (define @t245 () (@list @t228)) % 15.70/16.03 (define @t246 () (forall @t245 @t226)) % 15.70/16.03 (define @t247 () (forall @t245 @t227)) % 15.70/16.03 (define @t248 () (forall @t245 @t229)) % 15.70/16.03 (define @t249 () (@list @t7)) % 15.70/16.03 (define @t250 () (forall @t245 @t230)) % 15.70/16.03 (define @t251 () (forall @t245 @t232)) % 15.70/16.03 (define @t252 () (and @t251 @t250 @t248 @t247 @t246)) % 15.70/16.03 (define @t253 () (forall @t245 @t233)) % 15.70/16.03 (define @t254 () (@list @t236)) % 15.70/16.03 (define @t255 () (forall @t254 @t234)) % 15.70/16.03 (define @t256 () (forall @t254 @t235)) % 15.70/16.03 (define @t257 () (forall @t254 @t237)) % 15.70/16.03 (define @t258 () (forall @t254 @t238)) % 15.70/16.03 (define @t259 () (forall @t254 @t240)) % 15.70/16.03 (define @t260 () (and @t259 @t258 @t257 @t256 @t255)) % 15.70/16.03 (define @t261 () (forall @t254 @t241)) % 15.70/16.03 (define @t262 () (or @t119 @t261 @t253)) % 15.70/16.03 (define @t263 () (not @t74)) % 15.70/16.03 (define @t264 () (not @t75)) % 15.70/16.03 (define @t265 () (or @t118 @t264 @t263)) % 15.70/16.03 (define @t266 () (forall @t31 @t265)) % 15.70/16.03 (define @t267 () (not @t81)) % 15.70/16.03 (define @t268 () (or @t118 @t267 @t263)) % 15.70/16.03 (define @t269 () (forall @t31 @t268)) % 15.70/16.03 (define @t270 () (not @t266)) % 15.70/16.03 (define @t271 () (not @t270)) % 15.70/16.03 (define @t272 () (and @t232 @t230 @t271 @t227 @t226)) % 15.70/16.03 (define @t273 () (not @t269)) % 15.70/16.03 (define @t274 () (not @t273)) % 15.70/16.03 (define @t275 () (and @t240 @t238 @t274 @t235 @t234)) % 15.70/16.03 (define @t276 () (or @t231 @t69 @t270 @t73 @t72)) % 15.70/16.03 (define @t277 () (not @t276)) % 15.70/16.03 (define @t278 () (or @t239 @t66 @t273 @t80 @t79)) % 15.70/16.03 (define @t279 () (not @t278)) % 15.70/16.03 (define @t280 () (or @t119 @t279 @t277)) % 15.70/16.03 (define @t281 () (and @t2 @t278 @t276)) % 15.70/16.03 (define @t282 () (forall @t3 (not @t281))) % 15.70/16.03 (define @t283 () (not @t282)) % 15.70/16.03 (define @t284 () (forall @t31 (not @t76))) % 15.70/16.03 (define @t285 () (not @t284)) % 15.70/16.03 (define @t286 () (forall @t31 (not @t82))) % 15.70/16.03 (define @t287 () (not @t286)) % 15.70/16.03 (define @t288 () (not (tptp.sdtmndtplgtdt0 tptp.xR tptp.xR @t193))) % 15.70/16.03 (define @t289 () (not (tptp.aReductOfIn0 tptp.xR tptp.xv tptp.xR))) % 15.70/16.03 (define @t290 () (not (tptp.aElement0 tptp.xR))) % 15.70/16.03 (define @t291 () (or @t290 @t289 @t288)) % 15.70/16.03 (define @t292 () (and @t218 @t199 @t291 @t197 @t195)) % 15.70/16.03 (define @t293 () (not (tptp.aReductOfIn0 tptp.xR tptp.xu tptp.xR))) % 15.70/16.03 (define @t294 () (or @t290 @t293 @t288)) % 15.70/16.03 (define @t295 () (and @t220 @t209 @t294 @t207 @t205)) % 15.70/16.03 (define @t296 () (or @t215 @t295 @t292)) % 15.70/16.03 (define @t297 () (and @t202 @t199 @t291 @t197 @t195)) % 15.70/16.03 (define @t298 () (and @t212 @t209 @t294 @t207 @t205)) % 15.70/16.03 (define @t299 () (or @t215 @t298 @t297)) % 15.70/16.03 (define @t300 () (@list @t243)) % 15.70/16.03 (define @t301 () (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xu)) % 15.70/16.03 (define @t302 () (not @t301)) % 15.70/16.03 (define @t303 () (not (tptp.sdtmndtplgtdt0 tptp.xR tptp.xR tptp.xu))) % 15.70/16.03 (define @t304 () (not (= tptp.xu tptp.xv))) % 15.70/16.03 (define @t305 () (and @t304 (not (tptp.aReductOfIn0 tptp.xu tptp.xv tptp.xR)) (or @t290 @t289 @t303) (not (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR tptp.xu)) @t302)) % 15.70/16.03 (define @t306 () (or @t185 @t305)) % 15.70/16.03 (define @t307 () (not (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xu))) % 15.70/16.03 (define @t308 () (not (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR tptp.xu))) % 15.70/16.03 (define @t309 () (or @t290 @t293 @t303)) % 15.70/16.03 (define @t310 () (not (tptp.aReductOfIn0 tptp.xu tptp.xu tptp.xR))) % 15.70/16.03 (define @t311 () (not (= tptp.xu tptp.xu))) % 15.70/16.03 (define @t312 () (and @t311 @t310 @t309 @t308 @t307)) % 15.70/16.03 (define @t313 () (or @t185 @t312 @t305)) % 15.70/16.03 (define @t314 () (@list false false)) % 15.70/16.03 (define @t315 () (= true false)) % 15.70/16.03 (define @t316 () (and @t302 @t211 @t194)) % 15.70/16.03 (define @t317 () (@list true false)) % 15.70/16.03 (define @t318 () (not @t210)) % 15.70/16.03 (define @t319 () (@list true true)) % 15.70/16.03 (define @t320 () (not @t298)) % 15.70/16.03 (define @t321 () (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xv)) % 15.70/16.03 (define @t322 () (not @t321)) % 15.70/16.03 (define @t323 () (not (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR tptp.xv))) % 15.70/16.03 (define @t324 () (not (tptp.sdtmndtplgtdt0 tptp.xR tptp.xR tptp.xv))) % 15.70/16.03 (define @t325 () (or @t290 @t293 @t324)) % 15.70/16.03 (define @t326 () (not (tptp.aReductOfIn0 tptp.xv tptp.xu tptp.xR))) % 15.70/16.03 (define @t327 () (and @t304 @t326 @t325 @t323 @t322)) % 15.70/16.03 (define @t328 () (or @t184 @t327)) % 15.70/16.03 (define @t329 () (not (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xv))) % 15.70/16.03 (define @t330 () (not (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR tptp.xv))) % 15.70/16.03 (define @t331 () (or @t290 @t289 @t324)) % 15.70/16.03 (define @t332 () (not (tptp.aReductOfIn0 tptp.xv tptp.xv tptp.xR))) % 15.70/16.03 (define @t333 () (not (= tptp.xv tptp.xv))) % 15.70/16.03 (define @t334 () (and @t333 @t332 @t331 @t330 @t329)) % 15.70/16.03 (define @t335 () (not (= tptp.xv tptp.xu))) % 15.70/16.03 (define @t336 () (and @t335 @t326 @t325 @t323 @t322)) % 15.70/16.03 (define @t337 () (or @t184 @t336 @t334)) % 15.70/16.03 (define @t338 () (and @t322 @t201 @t204)) % 15.70/16.03 (define @t339 () (not @t200)) % 15.70/16.03 (define @t340 () (not @t297)) % 15.85/16.03 (assume @p1 (forall @t3 (=> @t2 true))) % 15.85/16.03 (assume @p2 (forall @t3 (=> @t4 true))) % 15.85/16.03 (assume @p3 (forall @t12 (=> @t11 (forall @t9 (=> @t8 @t6))))) % 15.85/16.03 (assume @p4 (forall @t12 (=> @t14 (=> (tptp.iLess0 @t1 @t7) true)))) % 15.85/16.03 (assume @p5 (forall @t17 (=> @t16 (=> @t15 true)))) % 15.85/16.03 (assume @p6 (forall @t17 (=> @t16 (= @t15 (or @t8 (exists @t20 (and @t19 (tptp.aReductOfIn0 @t18 @t1 @t7) (tptp.sdtmndtplgtdt0 @t18 @t7 @t5)))))))) % 15.85/16.03 (assume @p7 (forall @t22 (=> @t21 (=> (and @t15 (tptp.sdtmndtplgtdt0 @t5 @t7 @t18)) (tptp.sdtmndtplgtdt0 @t1 @t7 @t18))))) % 15.85/16.03 (assume @p8 (forall @t17 (=> @t16 (= @t24 (or @t23 @t15))))) % 15.85/16.03 (assume @p9 (forall @t22 (=> @t21 (=> (and @t24 (tptp.sdtmndtasgtdt0 @t5 @t7 @t18)) (tptp.sdtmndtasgtdt0 @t1 @t7 @t18))))) % 15.85/16.03 (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)))))) % 15.85/16.03 (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)))))) % 15.85/16.03 (assume @p12 (forall @t3 (=> @t4 (= @t30 (forall (@list @t7 @t5) (=> (and @t13 @t6) (=> (tptp.sdtmndtplgtdt0 @t7 @t1 @t5) (tptp.iLess0 @t5 @t7)))))))) % 15.85/16.03 (assume @p13 (forall @t12 (=> @t11 (forall @t9 (= (tptp.aNormalFormOfIn0 @t5 @t1 @t7) (and @t6 @t24 (not (exists @t20 (tptp.aReductOfIn0 @t18 @t5 @t7))))))))) % 15.85/16.03 (assume @p14 (forall @t3 (=> (and @t4 @t30) (forall @t31 (=> @t13 (exists @t9 (tptp.aNormalFormOfIn0 @t5 @t7 @t1))))))) % 15.85/16.03 (assume @p15 (tptp.aRewritingSystem0 tptp.xR)) % 15.85/16.03 (assume @p16 (and @t60 (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))) % 15.85/16.03 (assume @p17 (and @t61 (tptp.aElement0 tptp.xb) (tptp.aElement0 tptp.xc))) % 15.85/16.03 (assume @p18 (forall @t17 (=> (and @t2 @t13 @t6 (or (= @t1 @t7) @t34 (exists @t20 (and @t19 @t62 (tptp.sdtmndtplgtdt0 @t18 tptp.xR @t7))) @t32 (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t7)) (or @t23 @t33 (exists @t20 (and @t19 @t62 (tptp.sdtmndtplgtdt0 @t18 tptp.xR @t5))) (tptp.sdtmndtplgtdt0 @t1 tptp.xR @t5) (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t5))) (=> (tptp.iLess0 @t1 tptp.xa) @t57)))) % 15.85/16.03 (assume @p19 (and (or (tptp.aReductOfIn0 tptp.xb tptp.xa tptp.xR) (exists @t3 (and @t2 @t64 @t65))) (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xb) (or (tptp.aReductOfIn0 tptp.xc tptp.xa tptp.xR) (exists @t3 (and @t2 @t64 @t63))) (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xc))) % 15.85/16.03 (assume @p20 (and @t68 @t67 (or (= tptp.xu tptp.xb) (and (or (tptp.aReductOfIn0 tptp.xb tptp.xu tptp.xR) (exists @t3 (and @t2 @t66 @t65))) (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR tptp.xb))) (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xb))) % 15.85/16.03 (assume @p21 (and @t71 @t70 (or (= tptp.xv tptp.xc) (and (or (tptp.aReductOfIn0 tptp.xc tptp.xv tptp.xR) (exists @t3 (and @t2 @t69 @t63))) (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR tptp.xc))) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xc))) % 15.85/16.03 (assume @p22 @t87) % 15.85/16.03 (assume @p23 true) % 15.85/16.03 (step @p24 :rule aci_norm :args ((= (or @t121 @t114) @t120))) % 15.85/16.03 (step @p25 :rule refl :args (@t114)) % 15.85/16.03 (step @p26 :rule aci_norm :args ((= (or @t119 (or @t118 (or @t117 (or @t116 @t115)))) @t121))) % 15.85/16.03 (step @p27 :rule bool-and-de-morgan :args (@t34 @t33 true)) % 15.85/16.03 (step @p28 :rule refl :args (@t117)) % 15.85/16.03 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t117 (not (and @t34 @t33))))) % 15.85/16.03 (step @p30 :rule bool-and-de-morgan :args (@t6 @t34 (and @t33))) % 15.85/16.03 (step @p31 :rule trans :premises (@p30 @p29)) % 15.85/16.03 (step @p32 :rule refl :args (@t118)) % 15.85/16.03 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t118 (not (and @t6 @t34 @t33))))) % 15.85/16.03 (step @p34 :rule bool-and-de-morgan :args (@t13 @t6 (and @t34 @t33))) % 15.85/16.03 (step @p35 :rule trans :premises (@p34 @p33)) % 15.85/16.03 (step @p36 :rule refl :args (@t119)) % 15.85/16.03 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t119 (not (and @t13 @t6 @t34 @t33))))) % 15.85/16.03 (step @p38 :rule bool-and-de-morgan :args (@t2 @t13 (and @t6 @t34 @t33))) % 15.85/16.03 (step @p39 :rule trans :premises (@p38 @p37)) % 15.85/16.03 (step @p40 :rule trans :premises (@p39 @p26)) % 15.85/16.03 (step @p41 :rule nary_cong :premises (@p40 @p25) :args ((or (not @t58) @t114))) % 15.85/16.03 (step @p42 :rule trans :premises (@p41 @p24)) % 15.85/16.03 (step @p43 :rule bool-impl-elim :args (@t58 @t114)) % 15.85/16.03 (step @p44 :rule trans :premises (@p43 @p42)) % 15.85/16.03 (step @p45 :rule cong :premises (@p44) :args ((forall @t17 (=> @t58 @t114)))) % 15.85/16.03 (step @p46 :rule quant-merge-prenex :args ((= (forall @t20 @t122) @t113))) % 15.85/16.03 (step @p47 :rule refl :args (@t88)) % 15.85/16.03 (step @p48 :rule refl :args (@t89)) % 15.85/16.03 (step @p49 :rule alpha_equiv :args (@t124 (@list @t90) @t125)) % 15.85/16.03 (step @p50 :rule quant-unused-vars :args ((= @t126 @t94))) % 15.85/16.03 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t127)) % 15.85/16.03 (step @p52 :rule quant-miniscope-and :args ((= @t128 @t127))) % 15.85/16.03 (step @p53 :rule trans :premises (@p52 @p51)) % 15.85/16.03 (step @p54 :rule nary_cong :premises (@p53 @p48) :args (@t129)) % 15.85/16.03 (step @p55 :rule quant-miniscope-or :args ((= @t130 @t129))) % 15.85/16.03 (step @p56 :rule trans :premises (@p55 @p54)) % 15.85/16.03 (step @p57 :rule quant-unused-vars :args ((= @t131 @t97))) % 15.85/16.03 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t132)) % 15.85/16.03 (step @p59 :rule quant-miniscope-and :args ((= @t133 @t132))) % 15.85/16.03 (step @p60 :rule trans :premises (@p59 @p58)) % 15.85/16.03 (step @p61 :rule refl :args (@t99)) % 15.85/16.03 (step @p62 :rule refl :args (@t100)) % 15.85/16.03 (step @p63 :rule alpha_equiv :args (@t135 (@list @t101) @t125)) % 15.85/16.03 (step @p64 :rule quant-unused-vars :args ((= @t136 @t105))) % 15.85/16.03 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t137)) % 15.85/16.03 (step @p66 :rule quant-miniscope-and :args ((= @t138 @t137))) % 15.85/16.03 (step @p67 :rule trans :premises (@p66 @p65)) % 15.85/16.03 (step @p68 :rule nary_cong :premises (@p67 @p62) :args (@t139)) % 15.85/16.03 (step @p69 :rule quant-miniscope-or :args ((= @t140 @t139))) % 15.85/16.03 (step @p70 :rule trans :premises (@p69 @p68)) % 15.85/16.03 (step @p71 :rule quant-unused-vars :args ((= @t141 @t108))) % 15.85/16.03 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t142)) % 15.85/16.03 (step @p73 :rule quant-miniscope-and :args ((= @t143 @t142))) % 15.85/16.03 (step @p74 :rule trans :premises (@p73 @p72)) % 15.85/16.03 (step @p75 :rule refl :args (@t110)) % 15.85/16.03 (step @p76 :rule nary_cong :premises (@p75 @p74 @p61 @p60 @p47) :args (@t144)) % 15.85/16.03 (step @p77 :rule quant-miniscope-or :args ((= @t122 @t144))) % 15.85/16.03 (step @p78 :rule trans :premises (@p77 @p76)) % 15.85/16.03 (step @p79 :rule symm :premises (@p78)) % 15.85/16.03 (step @p80 :rule cong :premises (@p79) :args ((forall @t20 (or @t110 (and @t108 (or (and @t105 @t152) @t100)) @t99 (and @t97 (or (and @t94 @t149) @t89)) @t88)))) % 15.85/16.03 (step @p81 :rule trans :premises (@p80 @p46)) % 15.85/16.03 (step @p82 :rule bool-double-not-elim :args (@t149)) % 15.85/16.03 (step @p83 :rule refl :args (@t94)) % 15.85/16.03 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((and @t94 (not @t153)))) % 15.85/16.03 (step @p85 :rule bool-or-de-morgan :args (@t41 @t153 false)) % 15.85/16.03 (step @p86 :rule trans :premises (@p85 @p84)) % 15.85/16.03 (step @p87 :rule nary_cong :premises (@p86 @p48) :args ((or (not @t154) @t89))) % 15.85/16.03 (step @p88 :rule bool-and-de-morgan :args (@t154 @t36 true)) % 15.85/16.03 (step @p89 :rule trans :premises (@p88 @p87)) % 15.85/16.03 (step @p90 :rule refl :args (@t97)) % 15.85/16.03 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((and @t97 (not @t155)))) % 15.85/16.03 (step @p92 :rule bool-or-de-morgan :args (@t44 @t155 false)) % 15.85/16.03 (step @p93 :rule trans :premises (@p92 @p91)) % 15.85/16.03 (step @p94 :rule bool-double-not-elim :args (@t152)) % 15.85/16.03 (step @p95 :rule refl :args (@t105)) % 15.85/16.03 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((and @t105 (not @t156)))) % 15.85/16.03 (step @p97 :rule bool-or-de-morgan :args (@t51 @t156 false)) % 15.85/16.03 (step @p98 :rule trans :premises (@p97 @p96)) % 15.85/16.03 (step @p99 :rule nary_cong :premises (@p98 @p62) :args ((or (not @t157) @t100))) % 15.85/16.03 (step @p100 :rule bool-and-de-morgan :args (@t157 @t47 true)) % 15.85/16.03 (step @p101 :rule trans :premises (@p100 @p99)) % 15.85/16.03 (step @p102 :rule refl :args (@t108)) % 15.85/16.03 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((and @t108 (not @t158)))) % 15.85/16.03 (step @p104 :rule bool-or-de-morgan :args (@t54 @t158 false)) % 15.85/16.03 (step @p105 :rule trans :premises (@p104 @p103)) % 15.85/16.03 (step @p106 :rule nary_cong :premises (@p75 @p105 @p61 @p93 @p47) :args (@t163)) % 15.85/16.03 (step @p107 :rule aci_norm :args ((= (or @t110 (or @t162 (or @t99 (or @t160 @t88)))) @t163))) % 15.85/16.03 (step @p108 :rule bool-and-de-morgan :args (@t159 @t35 true)) % 15.85/16.03 (step @p109 :rule nary_cong :premises (@p61 @p108) :args ((or @t99 (not (and @t159 @t35))))) % 15.85/16.03 (step @p110 :rule bool-and-de-morgan :args (@t46 @t159 (and @t35))) % 15.85/16.03 (step @p111 :rule trans :premises (@p110 @p109)) % 15.85/16.03 (step @p112 :rule refl :args (@t162)) % 15.85/16.03 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t162 (not (and @t46 @t159 @t35))))) % 15.85/16.03 (step @p114 :rule bool-and-de-morgan :args (@t161 @t46 (and @t159 @t35))) % 15.85/16.03 (step @p115 :rule trans :premises (@p114 @p113)) % 15.85/16.03 (step @p116 :rule nary_cong :premises (@p75 @p115) :args ((or @t110 (not (and @t161 @t46 @t159 @t35))))) % 15.85/16.03 (step @p117 :rule bool-and-de-morgan :args (@t19 @t161 (and @t46 @t159 @t35))) % 15.85/16.03 (step @p118 :rule trans :premises (@p117 @p116)) % 15.85/16.03 (step @p119 :rule trans :premises (@p118 @p107)) % 15.85/16.03 (step @p120 :rule trans :premises (@p119 @p106)) % 15.85/16.03 (step @p121 :rule cong :premises (@p120) :args (@t165)) % 15.85/16.03 (step @p122 :rule trans :premises (@p121 @p81)) % 15.85/16.03 (step @p123 :rule cong :premises (@p122) :args (@t166)) % 15.85/16.03 (step @p124 :rule exists-elim :args ((= (exists @t20 @t164) @t166))) % 15.85/16.03 (step @p125 :rule trans :premises (@p124 @p123)) % 15.85/16.03 (step @p126 :rule refl :args (@t35)) % 15.85/16.03 (step @p127 :rule refl :args (@t36)) % 15.85/16.03 (step @p128 :rule aci_norm :args ((= (or @t147 (or @t146 @t145)) @t148))) % 15.85/16.03 (step @p129 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 15.85/16.03 (step @p130 :rule refl :args (@t147)) % 15.85/16.03 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or @t147 (not (and @t38 @t37))))) % 15.85/16.03 (step @p132 :rule bool-and-de-morgan :args (@t26 @t38 (and @t37))) % 15.85/16.03 (step @p133 :rule trans :premises (@p132 @p131)) % 15.85/16.03 (step @p134 :rule trans :premises (@p133 @p128)) % 15.85/16.03 (step @p135 :rule cong :premises (@p134) :args (@t167)) % 15.85/16.03 (step @p136 :rule cong :premises (@p135) :args (@t168)) % 15.85/16.03 (step @p137 :rule exists-elim :args ((= @t40 @t168))) % 15.85/16.03 (step @p138 :rule trans :premises (@p137 @p136)) % 15.85/16.03 (step @p139 :rule refl :args (@t41)) % 15.85/16.03 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t42)) % 15.85/16.03 (step @p141 :rule nary_cong :premises (@p140 @p127) :args (@t43)) % 15.85/16.03 (step @p142 :rule refl :args (@t44)) % 15.85/16.03 (step @p143 :rule nary_cong :premises (@p142 @p141) :args (@t45)) % 15.85/16.03 (step @p144 :rule refl :args (@t46)) % 15.85/16.03 (step @p145 :rule refl :args (@t47)) % 15.85/16.03 (step @p146 :rule aci_norm :args ((= (or @t147 (or @t150 @t145)) @t151))) % 15.85/16.03 (step @p147 :rule bool-and-de-morgan :args (@t48 @t37 true)) % 15.85/16.03 (step @p148 :rule nary_cong :premises (@p130 @p147) :args ((or @t147 (not (and @t48 @t37))))) % 15.85/16.03 (step @p149 :rule bool-and-de-morgan :args (@t26 @t48 (and @t37))) % 15.85/16.03 (step @p150 :rule trans :premises (@p149 @p148)) % 15.85/16.03 (step @p151 :rule trans :premises (@p150 @p146)) % 15.85/16.03 (step @p152 :rule cong :premises (@p151) :args (@t169)) % 15.85/16.03 (step @p153 :rule cong :premises (@p152) :args (@t170)) % 15.85/16.03 (step @p154 :rule exists-elim :args ((= @t50 @t170))) % 15.85/16.03 (step @p155 :rule trans :premises (@p154 @p153)) % 15.85/16.03 (step @p156 :rule refl :args (@t51)) % 15.85/16.03 (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t52)) % 15.85/16.03 (step @p158 :rule nary_cong :premises (@p157 @p145) :args (@t53)) % 15.85/16.03 (step @p159 :rule refl :args (@t54)) % 15.85/16.03 (step @p160 :rule nary_cong :premises (@p159 @p158) :args (@t55)) % 15.85/16.03 (step @p161 :rule refl :args (@t19)) % 15.85/16.03 (step @p162 :rule nary_cong :premises (@p161 @p160 @p144 @p143 @p126) :args (@t56)) % 15.85/16.03 (step @p163 :rule cong :premises (@p162) :args (@t57)) % 15.85/16.03 (step @p164 :rule trans :premises (@p163 @p125)) % 15.85/16.03 (step @p165 :rule refl :args (@t58)) % 15.85/16.03 (step @p166 :rule cong :premises (@p165 @p164) :args (@t59)) % 15.85/16.03 (step @p167 :rule cong :premises (@p166) :args (@t60)) % 15.85/16.03 (step @p168 :rule trans :premises (@p167 @p45)) % 15.85/16.03 (step @p169 :rule and_elim :premises (@p16) :args (0)) % 15.85/16.03 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 15.85/16.03 (step @p171 :rule refl :args (@t171)) % 15.85/16.03 (step @p172 :rule refl :args (@t172)) % 15.85/16.03 (step @p173 :rule eq-symm :args (tptp.xv @t18)) % 15.85/16.03 (step @p174 :rule cong :premises (@p173) :args (@t173)) % 15.85/16.03 (step @p175 :rule nary_cong :premises (@p174 @p172) :args (@t174)) % 15.85/16.03 (step @p176 :rule refl :args (@t175)) % 15.85/16.03 (step @p177 :rule refl :args (@t176)) % 15.85/16.03 (step @p178 :rule eq-symm :args (tptp.xu @t18)) % 15.85/16.03 (step @p179 :rule cong :premises (@p178) :args (@t177)) % 15.85/16.03 (step @p180 :rule nary_cong :premises (@p179 @p177) :args (@t178)) % 15.85/16.03 (step @p181 :rule refl :args (@t110)) % 15.85/16.03 (step @p182 :rule nary_cong :premises (@p181 @p180 @p176 @p175 @p171) :args (@t179)) % 15.85/16.03 (step @p183 :rule cong :premises (@p182) :args (@t180)) % 15.85/16.03 (step @p184 :rule cong :premises (@p183) :args (@t181)) % 15.85/16.03 (step @p185 :rule refl :args (@t182)) % 15.85/16.03 (step @p186 :rule refl :args (@t183)) % 15.85/16.03 (step @p187 :rule refl :args (@t184)) % 15.85/16.03 (step @p188 :rule refl :args (@t185)) % 15.85/16.03 (step @p189 :rule refl :args (@t186)) % 15.85/16.03 (step @p190 :rule nary_cong :premises (@p189 @p188 @p187 @p186 @p185 @p184) :args (@t187)) % 15.85/16.03 (step @p191 :rule refl :args (@t188)) % 15.85/16.03 (step @p192 :rule cong :premises (@p191 @p190) :args ((=> @t188 @t187))) % 15.85/16.03 (assume-push @p553 @t188) % 15.85/16.03 (step @p194 :rule instantiate :premises (@p170) :args ((@list tptp.xa tptp.xu tptp.xv))) % 15.85/16.03 (step-pop @p554 :rule scope :premises (@p194)) % 15.85/16.03 (step @p195 :rule process_scope :premises (@p554) :args (@t187)) % 15.85/16.03 (step @p197 :rule eq_resolve :premises (@p195 @p192)) % 15.85/16.03 (step @p198 :rule implies_elim :premises (@p197)) % 15.85/16.03 (step @p199 :rule chain_m_resolution :premises (@p198 @p170) :args (@t191 @t192 (@list @t188))) % 15.85/16.03 (step @p200 :rule and_elim :premises (@p21) :args (1)) % 15.85/16.03 (step @p201 :rule and_elim :premises (@p21) :args (0)) % 15.85/16.03 (step @p202 :rule and_elim :premises (@p20) :args (1)) % 15.85/16.03 (step @p203 :rule and_elim :premises (@p20) :args (0)) % 15.85/16.03 (step @p204 :rule and_elim :premises (@p17) :args (0)) % 15.85/16.03 (step @p205 :rule cnf_or_pos :args (@t191)) % 15.85/16.03 (step @p206 :rule reordering :premises (@p205) :args ((or @t186 @t185 @t183 @t184 @t182 @t190 (not @t191)))) % 15.85/16.03 (step @p207 :rule chain_m_resolution :premises (@p206 @p204 @p203 @p202 @p201 @p200 @p199) :args (@t190 (@list false false false false false false) (@list @t61 @t68 @t67 @t71 @t70 @t191))) % 15.85/16.03 (step @p208 :rule refl :args (@t217)) % 15.85/16.03 (step @p209 :rule bool-double-not-elim :args (@t189)) % 15.85/16.03 (step @p210 :rule nary_cong :premises (@p209 @p208) :args ((or (not @t190) @t217))) % 15.85/16.03 (step @p211 :rule refl :args (@t195)) % 15.85/16.03 (step @p212 :rule refl :args (@t200)) % 15.85/16.03 (step @p213 :rule eq-symm :args (@t193 tptp.xv)) % 15.85/16.03 (step @p214 :rule cong :premises (@p213) :args (@t218)) % 15.85/16.03 (step @p215 :rule nary_cong :premises (@p214 @p212) :args (@t219)) % 15.85/16.03 (step @p216 :rule refl :args (@t205)) % 15.85/16.03 (step @p217 :rule refl :args (@t210)) % 15.85/16.03 (step @p218 :rule eq-symm :args (@t193 tptp.xu)) % 15.85/16.03 (step @p219 :rule cong :premises (@p218) :args (@t220)) % 15.85/16.03 (step @p220 :rule nary_cong :premises (@p219 @p217) :args (@t221)) % 15.85/16.03 (step @p221 :rule refl :args (@t215)) % 15.85/16.03 (step @p222 :rule nary_cong :premises (@p221 @p220 @p216 @p215 @p211) :args (@t222)) % 15.85/16.03 (step @p223 :rule cong :premises (@p222) :args (@t223)) % 15.85/16.03 (step @p224 :rule refl :args (@t190)) % 15.85/16.03 (step @p225 :rule cong :premises (@p224 @p223) :args ((=> @t190 @t223))) % 15.85/16.03 (assume-push @p555 @t190) % 15.85/16.03 (step @p227 :rule skolemize :premises (@p207)) % 15.85/16.03 (step-pop @p556 :rule scope :premises (@p227)) % 15.85/16.03 (step @p228 :rule process_scope :premises (@p556) :args (@t223)) % 15.85/16.03 (step @p230 :rule eq_resolve :premises (@p228 @p225)) % 15.85/16.03 (step @p231 :rule implies_elim :premises (@p230)) % 15.85/16.03 (step @p232 :rule eq_resolve :premises (@p231 @p210)) % 15.85/16.03 (step @p233 :rule chain_m_resolution :premises (@p232 @p207) :args (@t217 @t224 (@list @t189))) % 15.85/16.03 (step @p234 :rule bool-double-not-elim :args (@t214)) % 15.85/16.03 (step @p235 :rule refl :args (@t216)) % 15.85/16.03 (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or @t216 (not @t215)))) % 15.85/16.03 (step @p237 :rule cnf_or_neg :args (@t216 0)) % 15.85/16.03 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 15.85/16.03 (step @p239 :rule reordering :premises (@p238) :args ((or @t214 @t216))) % 15.85/16.03 (step @p240 :rule chain_m_resolution :premises (@p239 @p233) :args (@t214 @t224 @t225)) % 15.85/16.03 (step @p241 :rule bool-double-not-elim :args (@t243)) % 15.85/16.03 (step @p242 :rule quant-merge-prenex :args ((= (forall @t3 @t244) @t243))) % 15.85/16.03 (step @p243 :rule quant-unused-vars :args ((= @t246 @t226))) % 15.85/16.03 (step @p244 :rule quant-unused-vars :args ((= @t247 @t227))) % 15.85/16.03 (step @p245 :rule alpha_equiv :args (@t248 (@list @t228) @t249)) % 15.85/16.03 (step @p246 :rule quant-unused-vars :args ((= @t250 @t230))) % 15.85/16.03 (step @p247 :rule quant-unused-vars :args ((= @t251 @t232))) % 15.85/16.03 (step @p248 :rule nary_cong :premises (@p247 @p246 @p245 @p244 @p243) :args (@t252)) % 15.85/16.03 (step @p249 :rule quant-miniscope-and :args ((= @t253 @t252))) % 15.85/16.03 (step @p250 :rule trans :premises (@p249 @p248)) % 15.85/16.03 (step @p251 :rule quant-unused-vars :args ((= @t255 @t234))) % 15.85/16.03 (step @p252 :rule quant-unused-vars :args ((= @t256 @t235))) % 15.85/16.03 (step @p253 :rule alpha_equiv :args (@t257 (@list @t236) @t249)) % 15.85/16.03 (step @p254 :rule quant-unused-vars :args ((= @t258 @t238))) % 15.85/16.03 (step @p255 :rule quant-unused-vars :args ((= @t259 @t240))) % 15.85/16.03 (step @p256 :rule nary_cong :premises (@p255 @p254 @p253 @p252 @p251) :args (@t260)) % 15.85/16.03 (step @p257 :rule quant-miniscope-and :args ((= @t261 @t260))) % 15.85/16.03 (step @p258 :rule trans :premises (@p257 @p256)) % 15.85/16.03 (step @p259 :rule nary_cong :premises (@p36 @p258 @p250) :args (@t262)) % 15.85/16.03 (step @p260 :rule quant-miniscope-or :args ((= @t244 @t262))) % 15.85/16.03 (step @p261 :rule trans :premises (@p260 @p259)) % 15.85/16.03 (step @p262 :rule symm :premises (@p261)) % 15.85/16.03 (step @p263 :rule cong :premises (@p262) :args ((forall @t3 (or @t119 (and @t240 @t238 @t269 @t235 @t234) (and @t232 @t230 @t266 @t227 @t226))))) % 15.85/16.03 (step @p264 :rule trans :premises (@p263 @p242)) % 15.85/16.03 (step @p265 :rule refl :args (@t226)) % 15.85/16.03 (step @p266 :rule refl :args (@t227)) % 15.85/16.03 (step @p267 :rule bool-double-not-elim :args (@t266)) % 15.85/16.03 (step @p268 :rule refl :args (@t230)) % 15.85/16.03 (step @p269 :rule refl :args (@t232)) % 15.85/16.03 (step @p270 :rule nary_cong :premises (@p269 @p268 @p267 @p266 @p265) :args (@t272)) % 15.85/16.03 (step @p271 :rule aci_norm :args ((= (and @t232 (and @t230 (and @t271 (and @t227 @t226)))) @t272))) % 15.85/16.03 (step @p272 :rule trans :premises (@p271 @p270)) % 15.85/16.03 (step @p273 :rule bool-or-de-morgan :args (@t73 @t72 false)) % 15.85/16.03 (step @p274 :rule refl :args (@t271)) % 15.85/16.03 (step @p275 :rule nary_cong :premises (@p274 @p273) :args ((and @t271 (not (or @t73 @t72))))) % 15.85/16.03 (step @p276 :rule bool-or-de-morgan :args (@t270 @t73 (or @t72))) % 15.85/16.03 (step @p277 :rule trans :premises (@p276 @p275)) % 15.85/16.03 (step @p278 :rule nary_cong :premises (@p268 @p277) :args ((and @t230 (not (or @t270 @t73 @t72))))) % 15.85/16.03 (step @p279 :rule bool-or-de-morgan :args (@t69 @t270 (or @t73 @t72))) % 15.85/16.03 (step @p280 :rule trans :premises (@p279 @p278)) % 15.85/16.03 (step @p281 :rule nary_cong :premises (@p269 @p280) :args ((and @t232 (not (or @t69 @t270 @t73 @t72))))) % 15.85/16.03 (step @p282 :rule bool-or-de-morgan :args (@t231 @t69 (or @t270 @t73 @t72))) % 15.85/16.03 (step @p283 :rule trans :premises (@p282 @p281)) % 15.85/16.03 (step @p284 :rule trans :premises (@p283 @p272)) % 15.85/16.03 (step @p285 :rule refl :args (@t234)) % 15.85/16.03 (step @p286 :rule refl :args (@t235)) % 15.85/16.03 (step @p287 :rule bool-double-not-elim :args (@t269)) % 15.85/16.03 (step @p288 :rule refl :args (@t238)) % 15.85/16.03 (step @p289 :rule refl :args (@t240)) % 15.85/16.03 (step @p290 :rule nary_cong :premises (@p289 @p288 @p287 @p286 @p285) :args (@t275)) % 15.85/16.03 (step @p291 :rule aci_norm :args ((= (and @t240 (and @t238 (and @t274 (and @t235 @t234)))) @t275))) % 15.85/16.03 (step @p292 :rule trans :premises (@p291 @p290)) % 15.85/16.03 (step @p293 :rule bool-or-de-morgan :args (@t80 @t79 false)) % 15.85/16.03 (step @p294 :rule refl :args (@t274)) % 15.85/16.03 (step @p295 :rule nary_cong :premises (@p294 @p293) :args ((and @t274 (not (or @t80 @t79))))) % 15.85/16.03 (step @p296 :rule bool-or-de-morgan :args (@t273 @t80 (or @t79))) % 15.85/16.03 (step @p297 :rule trans :premises (@p296 @p295)) % 15.85/16.03 (step @p298 :rule nary_cong :premises (@p288 @p297) :args ((and @t238 (not (or @t273 @t80 @t79))))) % 15.85/16.03 (step @p299 :rule bool-or-de-morgan :args (@t66 @t273 (or @t80 @t79))) % 15.85/16.03 (step @p300 :rule trans :premises (@p299 @p298)) % 15.85/16.03 (step @p301 :rule nary_cong :premises (@p289 @p300) :args ((and @t240 (not (or @t66 @t273 @t80 @t79))))) % 15.85/16.03 (step @p302 :rule bool-or-de-morgan :args (@t239 @t66 (or @t273 @t80 @t79))) % 15.85/16.03 (step @p303 :rule trans :premises (@p302 @p301)) % 15.85/16.03 (step @p304 :rule trans :premises (@p303 @p292)) % 15.85/16.03 (step @p305 :rule nary_cong :premises (@p36 @p304 @p284) :args (@t280)) % 15.85/16.03 (step @p306 :rule aci_norm :args ((= (or @t119 (or @t279 @t277)) @t280))) % 15.85/16.03 (step @p307 :rule bool-and-de-morgan :args (@t278 @t276 true)) % 15.85/16.03 (step @p308 :rule nary_cong :premises (@p36 @p307) :args ((or @t119 (not (and @t278 @t276))))) % 15.85/16.03 (step @p309 :rule bool-and-de-morgan :args (@t2 @t278 (and @t276))) % 15.85/16.03 (step @p310 :rule trans :premises (@p309 @p308)) % 15.85/16.03 (step @p311 :rule trans :premises (@p310 @p306)) % 15.85/16.03 (step @p312 :rule trans :premises (@p311 @p305)) % 15.85/16.03 (step @p313 :rule cong :premises (@p312) :args (@t282)) % 15.85/16.03 (step @p314 :rule trans :premises (@p313 @p264)) % 15.85/16.03 (step @p315 :rule cong :premises (@p314) :args (@t283)) % 15.85/16.03 (step @p316 :rule exists-elim :args ((= (exists @t3 @t281) @t283))) % 15.85/16.03 (step @p317 :rule trans :premises (@p316 @p315)) % 15.85/16.03 (step @p318 :rule refl :args (@t72)) % 15.85/16.03 (step @p319 :rule refl :args (@t73)) % 15.85/16.03 (step @p320 :rule aci_norm :args ((= (or @t118 (or @t264 @t263)) @t265))) % 15.85/16.03 (step @p321 :rule bool-and-de-morgan :args (@t75 @t74 true)) % 15.85/16.03 (step @p322 :rule nary_cong :premises (@p32 @p321) :args ((or @t118 (not (and @t75 @t74))))) % 15.85/16.03 (step @p323 :rule bool-and-de-morgan :args (@t13 @t75 (and @t74))) % 15.85/16.03 (step @p324 :rule trans :premises (@p323 @p322)) % 15.85/16.03 (step @p325 :rule trans :premises (@p324 @p320)) % 15.85/16.03 (step @p326 :rule cong :premises (@p325) :args (@t284)) % 15.85/16.03 (step @p327 :rule cong :premises (@p326) :args (@t285)) % 15.85/16.03 (step @p328 :rule exists-elim :args ((= @t77 @t285))) % 15.85/16.03 (step @p329 :rule trans :premises (@p328 @p327)) % 15.85/16.03 (step @p330 :rule refl :args (@t69)) % 15.85/16.03 (step @p331 :rule eq-symm :args (tptp.xv @t1)) % 15.85/16.03 (step @p332 :rule nary_cong :premises (@p331 @p330 @p329 @p319 @p318) :args (@t78)) % 15.85/16.03 (step @p333 :rule refl :args (@t79)) % 15.85/16.03 (step @p334 :rule refl :args (@t80)) % 15.85/16.03 (step @p335 :rule aci_norm :args ((= (or @t118 (or @t267 @t263)) @t268))) % 15.85/16.03 (step @p336 :rule bool-and-de-morgan :args (@t81 @t74 true)) % 15.85/16.03 (step @p337 :rule nary_cong :premises (@p32 @p336) :args ((or @t118 (not (and @t81 @t74))))) % 15.85/16.03 (step @p338 :rule bool-and-de-morgan :args (@t13 @t81 (and @t74))) % 15.85/16.03 (step @p339 :rule trans :premises (@p338 @p337)) % 15.85/16.03 (step @p340 :rule trans :premises (@p339 @p335)) % 15.85/16.03 (step @p341 :rule cong :premises (@p340) :args (@t286)) % 15.85/16.03 (step @p342 :rule cong :premises (@p341) :args (@t287)) % 15.85/16.03 (step @p343 :rule exists-elim :args ((= @t83 @t287))) % 15.85/16.03 (step @p344 :rule trans :premises (@p343 @p342)) % 15.85/16.03 (step @p345 :rule refl :args (@t66)) % 15.85/16.03 (step @p346 :rule eq-symm :args (tptp.xu @t1)) % 15.85/16.03 (step @p347 :rule nary_cong :premises (@p346 @p345 @p344 @p334 @p333) :args (@t84)) % 15.85/16.03 (step @p348 :rule refl :args (@t2)) % 15.85/16.03 (step @p349 :rule nary_cong :premises (@p348 @p347 @p332) :args (@t85)) % 15.85/16.03 (step @p350 :rule cong :premises (@p349) :args (@t86)) % 15.85/16.03 (step @p351 :rule trans :premises (@p350 @p317)) % 15.85/16.03 (step @p352 :rule cong :premises (@p351) :args (@t87)) % 15.85/16.03 (step @p353 :rule trans :premises (@p352 @p241)) % 15.85/16.03 (step @p354 :rule eq_resolve :premises (@p22 @p353)) % 15.85/16.03 (step @p355 :rule refl :args (@t197)) % 15.85/16.03 (step @p356 :rule refl :args (@t291)) % 15.85/16.03 (step @p357 :rule refl :args (@t199)) % 15.85/16.03 (step @p358 :rule nary_cong :premises (@p214 @p357 @p356 @p355 @p211) :args (@t292)) % 15.85/16.03 (step @p359 :rule refl :args (@t207)) % 15.85/16.03 (step @p360 :rule refl :args (@t294)) % 15.85/16.03 (step @p361 :rule refl :args (@t209)) % 15.85/16.03 (step @p362 :rule nary_cong :premises (@p219 @p361 @p360 @p359 @p216) :args (@t295)) % 15.85/16.03 (step @p363 :rule nary_cong :premises (@p221 @p362 @p358) :args (@t296)) % 15.85/16.03 (step @p364 :rule refl :args (@t243)) % 15.85/16.03 (step @p365 :rule cong :premises (@p364 @p363) :args ((=> @t243 @t296))) % 15.85/16.03 (assume-push @p557 @t243) % 15.85/16.03 (step @p367 :rule instantiate :premises (@p354) :args ((@list @t193 tptp.xR tptp.xR))) % 15.85/16.03 (step-pop @p558 :rule scope :premises (@p367)) % 15.85/16.03 (step @p368 :rule process_scope :premises (@p558) :args (@t296)) % 15.85/16.03 (step @p370 :rule eq_resolve :premises (@p368 @p365)) % 15.85/16.03 (step @p371 :rule implies_elim :premises (@p370)) % 15.85/16.03 (step @p372 :rule chain_m_resolution :premises (@p371 @p354) :args (@t299 @t192 @t300)) % 15.85/16.03 (step @p373 :rule cnf_or_neg :args (@t216 1)) % 15.85/16.03 (step @p374 :rule chain_m_resolution :premises (@p373 @p233) :args ((not @t213) @t224 @t225)) % 15.85/16.03 (step @p375 :rule bool-double-not-elim :args (@t194)) % 15.85/16.03 (step @p376 :rule nary_cong :premises (@p235 @p375) :args ((or @t216 (not @t195)))) % 15.85/16.03 (step @p377 :rule cnf_or_neg :args (@t216 4)) % 15.85/16.03 (step @p378 :rule eq_resolve :premises (@p377 @p376)) % 15.85/16.03 (step @p379 :rule reordering :premises (@p378) :args ((or @t194 @t216))) % 15.85/16.03 (step @p380 :rule chain_m_resolution :premises (@p379 @p233) :args (@t194 @t224 @t225)) % 15.85/16.03 (step @p381 :rule aci_norm :args ((= (or @t185 false @t305) @t306))) % 15.85/16.03 (step @p382 :rule refl :args (@t305)) % 15.85/16.03 (step @p383 :rule absorb :args ((= (and false @t310 @t309 @t308 @t307) false))) % 15.85/16.03 (step @p384 :rule refl :args (@t307)) % 15.85/16.03 (step @p385 :rule refl :args (@t308)) % 15.85/16.03 (step @p386 :rule refl :args (@t309)) % 15.85/16.03 (step @p387 :rule refl :args (@t310)) % 15.85/16.03 (step @p388 :rule evaluate :args ((not true))) % 15.85/16.03 (step @p389 :rule eq-refl :args (tptp.xu)) % 15.85/16.03 (step @p390 :rule cong :premises (@p389) :args (@t311)) % 15.85/16.03 (step @p391 :rule trans :premises (@p390 @p388)) % 15.85/16.03 (step @p392 :rule nary_cong :premises (@p391 @p387 @p386 @p385 @p384) :args (@t312)) % 15.85/16.03 (step @p393 :rule trans :premises (@p392 @p383)) % 15.85/16.03 (step @p394 :rule nary_cong :premises (@p188 @p393 @p382) :args (@t313)) % 15.85/16.03 (step @p395 :rule trans :premises (@p394 @p381)) % 15.85/16.03 (step @p396 :rule cong :premises (@p364 @p395) :args ((=> @t243 @t313))) % 15.85/16.03 (assume-push @p559 @t243) % 15.85/16.03 (step @p398 :rule instantiate :premises (@p354) :args ((@list tptp.xu tptp.xR tptp.xR))) % 15.85/16.03 (step-pop @p560 :rule scope :premises (@p398)) % 15.85/16.03 (step @p399 :rule process_scope :premises (@p560) :args (@t313)) % 15.85/16.03 (step @p401 :rule eq_resolve :premises (@p399 @p396)) % 15.85/16.03 (step @p402 :rule implies_elim :premises (@p401)) % 15.85/16.03 (step @p403 :rule chain_m_resolution :premises (@p402 @p354) :args (@t306 @t192 @t300)) % 15.85/16.03 (step @p404 :rule cnf_or_pos :args (@t306)) % 15.85/16.03 (step @p405 :rule reordering :premises (@p404) :args ((or @t185 @t305 (not @t306)))) % 15.85/16.03 (step @p406 :rule chain_m_resolution :premises (@p405 @p203 @p403) :args (@t305 @t314 (@list @t68 @t306))) % 15.85/16.03 (step @p407 :rule cnf_and_pos :args (@t305 4)) % 15.85/16.03 (step @p408 :rule reordering :premises (@p407) :args ((or @t302 (not @t305)))) % 15.85/16.03 (step @p409 :rule chain_m_resolution :premises (@p408 @p406) :args (@t302 @t192 (@list @t305))) % 15.85/16.03 (step @p410 :rule refl :args (@t212)) % 15.85/16.03 (step @p411 :rule bool-double-not-elim :args (@t301)) % 15.85/16.03 (step @p412 :rule nary_cong :premises (@p411 @p211 @p410) :args ((or (not @t302) @t195 @t212))) % 15.85/16.03 (assume-push @p561 @t302) % 15.85/16.03 (assume-push @p562 @t211) % 15.85/16.03 (assume-push @p563 @t194) % 15.85/16.03 (step @p416 :rule evaluate :args (@t315)) % 15.85/16.03 (step @p417 :rule false_intro :premises (@p409)) % 15.85/16.03 (step @p418 :rule symm :premises (@p562)) % 15.85/16.03 (step @p419 :rule refl :args (tptp.xR)) % 15.85/16.03 (step @p420 :rule refl :args (tptp.xv)) % 15.85/16.03 (step @p421 :rule cong :premises (@p420 @p419 @p418) :args (@t194)) % 15.85/16.03 (step @p422 :rule true_intro :premises (@p380)) % 15.85/16.03 (step @p423 :rule symm :premises (@p422)) % 15.85/16.03 (step @p424 :rule trans :premises (@p423 @p421 @p417)) % 15.85/16.03 (step @p425 false :rule eq_resolve :premises (@p424 @p416)) % 15.85/16.03 (step-pop @p564 :rule scope :premises (@p425)) % 15.85/16.03 (step-pop @p565 :rule scope :premises (@p564)) % 15.85/16.03 (step-pop @p566 :rule scope :premises (@p565)) % 15.85/16.03 (step @p426 :rule process_scope :premises (@p566) :args (false)) % 15.85/16.03 (assume-push @p567 @t302) % 15.85/16.03 (assume-push @p568 @t194) % 15.85/16.03 (assume-push @p569 @t211) % 15.85/16.03 (step @p433 :rule and_intro :premises (@p409 @p569 @p380)) % 15.85/16.03 (step-pop @p570 :rule scope :premises (@p433)) % 15.85/16.03 (step-pop @p571 :rule scope :premises (@p570)) % 15.85/16.03 (step-pop @p572 :rule scope :premises (@p571)) % 15.85/16.03 (step @p434 :rule process_scope :premises (@p572) :args (@t316)) % 15.85/16.03 (step @p438 :rule implies_elim :premises (@p434)) % 15.85/16.03 (step @p439 :rule resolution :premises (@p438 @p426) :args (true @t316)) % 15.85/16.03 (step @p440 :rule not_and :premises (@p439)) % 15.85/16.03 (step @p441 :rule eq_resolve :premises (@p440 @p412)) % 15.85/16.03 (step @p442 :rule chain_m_resolution :premises (@p441 @p409 @p380) :args (@t212 @t317 (@list @t301 @t194))) % 15.85/16.03 (step @p443 :rule refl :args (@t318)) % 15.85/16.03 (step @p444 :rule bool-double-not-elim :args (@t211)) % 15.85/16.03 (step @p445 :rule refl :args (@t213)) % 15.85/16.03 (step @p446 :rule nary_cong :premises (@p445 @p444 @p443) :args ((or @t213 (not @t212) @t318))) % 15.85/16.03 (step @p447 :rule cnf_and_neg :args (@t213)) % 15.85/16.03 (step @p448 :rule eq_resolve :premises (@p447 @p446)) % 15.85/16.03 (step @p449 :rule reordering :premises (@p448) :args ((or @t211 @t213 @t318))) % 15.85/16.03 (step @p450 :rule chain_m_resolution :premises (@p449 @p442 @p374) :args (@t318 @t319 (@list @t211 @t213))) % 15.85/16.03 (step @p451 :rule bool-double-not-elim :args (@t206)) % 15.85/16.03 (step @p452 :rule nary_cong :premises (@p217 @p451) :args ((or @t210 (not @t207)))) % 15.85/16.03 (step @p453 :rule cnf_or_neg :args (@t210 1)) % 15.85/16.03 (step @p454 :rule eq_resolve :premises (@p453 @p452)) % 15.85/16.03 (step @p455 :rule reordering :premises (@p454) :args ((or @t206 @t210))) % 15.85/16.03 (step @p456 :rule chain_m_resolution :premises (@p455 @p450) :args (@t206 @t224 (@list @t210))) % 15.85/16.03 (step @p457 :rule cnf_and_pos :args (@t298 3)) % 15.85/16.03 (step @p458 :rule reordering :premises (@p457) :args ((or @t207 @t320))) % 15.85/16.03 (step @p459 :rule chain_m_resolution :premises (@p458 @p456) :args (@t320 @t192 (@list @t206))) % 15.85/16.03 (step @p460 :rule cnf_or_neg :args (@t216 3)) % 15.85/16.03 (step @p461 :rule chain_m_resolution :premises (@p460 @p233) :args ((not @t203) @t224 @t225)) % 15.85/16.03 (step @p462 :rule bool-double-not-elim :args (@t204)) % 15.85/16.03 (step @p463 :rule nary_cong :premises (@p235 @p462) :args ((or @t216 (not @t205)))) % 15.85/16.03 (step @p464 :rule cnf_or_neg :args (@t216 2)) % 15.85/16.03 (step @p465 :rule eq_resolve :premises (@p464 @p463)) % 15.85/16.03 (step @p466 :rule reordering :premises (@p465) :args ((or @t204 @t216))) % 15.85/16.03 (step @p467 :rule chain_m_resolution :premises (@p466 @p233) :args (@t204 @t224 @t225)) % 15.85/16.03 (step @p468 :rule aci_norm :args ((= (or @t184 @t327 false) @t328))) % 15.85/16.03 (step @p469 :rule absorb :args ((= (and false @t332 @t331 @t330 @t329) false))) % 15.85/16.03 (step @p470 :rule refl :args (@t329)) % 15.85/16.03 (step @p471 :rule refl :args (@t330)) % 15.85/16.03 (step @p472 :rule refl :args (@t331)) % 15.85/16.03 (step @p473 :rule refl :args (@t332)) % 15.85/16.03 (step @p474 :rule eq-refl :args (tptp.xv)) % 15.85/16.03 (step @p475 :rule cong :premises (@p474) :args (@t333)) % 15.85/16.03 (step @p476 :rule trans :premises (@p475 @p388)) % 15.85/16.03 (step @p477 :rule nary_cong :premises (@p476 @p473 @p472 @p471 @p470) :args (@t334)) % 15.85/16.03 (step @p478 :rule trans :premises (@p477 @p469)) % 15.85/16.03 (step @p479 :rule refl :args (@t322)) % 15.85/16.03 (step @p480 :rule refl :args (@t323)) % 15.85/16.03 (step @p481 :rule refl :args (@t325)) % 15.85/16.03 (step @p482 :rule refl :args (@t326)) % 15.85/16.03 (step @p483 :rule eq-symm :args (tptp.xv tptp.xu)) % 15.85/16.03 (step @p484 :rule cong :premises (@p483) :args (@t335)) % 15.85/16.03 (step @p485 :rule nary_cong :premises (@p484 @p482 @p481 @p480 @p479) :args (@t336)) % 15.85/16.03 (step @p486 :rule nary_cong :premises (@p187 @p485 @p478) :args (@t337)) % 15.85/16.03 (step @p487 :rule trans :premises (@p486 @p468)) % 15.85/16.03 (step @p488 :rule cong :premises (@p364 @p487) :args ((=> @t243 @t337))) % 15.85/16.03 (assume-push @p573 @t243) % 15.85/16.03 (step @p490 :rule instantiate :premises (@p354) :args ((@list tptp.xv tptp.xR tptp.xR))) % 15.85/16.03 (step-pop @p574 :rule scope :premises (@p490)) % 15.85/16.03 (step @p491 :rule process_scope :premises (@p574) :args (@t337)) % 15.85/16.03 (step @p493 :rule eq_resolve :premises (@p491 @p488)) % 15.85/16.03 (step @p494 :rule implies_elim :premises (@p493)) % 15.85/16.03 (step @p495 :rule chain_m_resolution :premises (@p494 @p354) :args (@t328 @t192 @t300)) % 15.85/16.03 (step @p496 :rule cnf_or_pos :args (@t328)) % 15.85/16.03 (step @p497 :rule reordering :premises (@p496) :args ((or @t184 @t327 (not @t328)))) % 15.85/16.03 (step @p498 :rule chain_m_resolution :premises (@p497 @p201 @p495) :args (@t327 @t314 (@list @t71 @t328))) % 15.85/16.03 (step @p499 :rule cnf_and_pos :args (@t327 4)) % 15.85/16.03 (step @p500 :rule reordering :premises (@p499) :args ((or @t322 (not @t327)))) % 15.85/16.03 (step @p501 :rule chain_m_resolution :premises (@p500 @p498) :args (@t322 @t192 (@list @t327))) % 15.85/16.03 (step @p502 :rule refl :args (@t202)) % 15.85/16.03 (step @p503 :rule bool-double-not-elim :args (@t321)) % 15.85/16.03 (step @p504 :rule nary_cong :premises (@p503 @p216 @p502) :args ((or (not @t322) @t205 @t202))) % 15.85/16.03 (assume-push @p575 @t322) % 15.85/16.03 (assume-push @p576 @t201) % 15.85/16.03 (assume-push @p577 @t204) % 15.85/16.03 (step @p416 :rule evaluate :args (@t315)) % 15.85/16.03 (step @p508 :rule false_intro :premises (@p501)) % 15.85/16.03 (step @p509 :rule symm :premises (@p576)) % 15.85/16.03 (step @p419 :rule refl :args (tptp.xR)) % 15.85/16.03 (step @p510 :rule refl :args (tptp.xu)) % 15.85/16.03 (step @p511 :rule cong :premises (@p510 @p419 @p509) :args (@t204)) % 15.85/16.03 (step @p512 :rule true_intro :premises (@p467)) % 15.85/16.03 (step @p513 :rule symm :premises (@p512)) % 15.85/16.03 (step @p514 :rule trans :premises (@p513 @p511 @p508)) % 15.85/16.03 (step @p515 false :rule eq_resolve :premises (@p514 @p416)) % 15.85/16.03 (step-pop @p578 :rule scope :premises (@p515)) % 15.85/16.03 (step-pop @p579 :rule scope :premises (@p578)) % 15.85/16.03 (step-pop @p580 :rule scope :premises (@p579)) % 15.85/16.03 (step @p516 :rule process_scope :premises (@p580) :args (false)) % 15.85/16.03 (assume-push @p581 @t322) % 15.85/16.03 (assume-push @p582 @t204) % 15.85/16.03 (assume-push @p583 @t201) % 15.85/16.03 (step @p523 :rule and_intro :premises (@p501 @p583 @p467)) % 15.85/16.03 (step-pop @p584 :rule scope :premises (@p523)) % 15.85/16.03 (step-pop @p585 :rule scope :premises (@p584)) % 15.85/16.03 (step-pop @p586 :rule scope :premises (@p585)) % 15.85/16.03 (step @p524 :rule process_scope :premises (@p586) :args (@t338)) % 15.85/16.03 (step @p528 :rule implies_elim :premises (@p524)) % 15.85/16.03 (step @p529 :rule resolution :premises (@p528 @p516) :args (true @t338)) % 15.85/16.03 (step @p530 :rule not_and :premises (@p529)) % 15.85/16.03 (step @p531 :rule eq_resolve :premises (@p530 @p504)) % 15.85/16.03 (step @p532 :rule chain_m_resolution :premises (@p531 @p501 @p467) :args (@t202 @t317 (@list @t321 @t204))) % 15.85/16.03 (step @p533 :rule refl :args (@t339)) % 15.85/16.03 (step @p534 :rule bool-double-not-elim :args (@t201)) % 15.85/16.03 (step @p535 :rule refl :args (@t203)) % 15.85/16.03 (step @p536 :rule nary_cong :premises (@p535 @p534 @p533) :args ((or @t203 (not @t202) @t339))) % 15.85/16.03 (step @p537 :rule cnf_and_neg :args (@t203)) % 15.85/16.03 (step @p538 :rule eq_resolve :premises (@p537 @p536)) % 15.85/16.03 (step @p539 :rule reordering :premises (@p538) :args ((or @t201 @t203 @t339))) % 15.85/16.03 (step @p540 :rule chain_m_resolution :premises (@p539 @p532 @p461) :args (@t339 @t319 (@list @t201 @t203))) % 15.85/16.03 (step @p541 :rule bool-double-not-elim :args (@t196)) % 15.85/16.03 (step @p542 :rule nary_cong :premises (@p212 @p541) :args ((or @t200 (not @t197)))) % 15.85/16.03 (step @p543 :rule cnf_or_neg :args (@t200 1)) % 15.85/16.03 (step @p544 :rule eq_resolve :premises (@p543 @p542)) % 15.85/16.03 (step @p545 :rule reordering :premises (@p544) :args ((or @t196 @t200))) % 15.85/16.03 (step @p546 :rule chain_m_resolution :premises (@p545 @p540) :args (@t196 @t224 (@list @t200))) % 15.85/16.03 (step @p547 :rule cnf_and_pos :args (@t297 3)) % 15.85/16.03 (step @p548 :rule reordering :premises (@p547) :args ((or @t197 @t340))) % 15.85/16.03 (step @p549 :rule chain_m_resolution :premises (@p548 @p546) :args (@t340 @t192 (@list @t196))) % 15.85/16.03 (step @p550 :rule cnf_or_pos :args (@t299)) % 15.85/16.03 (step @p551 :rule reordering :premises (@p550) :args ((or @t215 @t298 @t297 (not @t299)))) % 15.85/16.03 (step @p552 false :rule chain_m_resolution :premises (@p551 @p549 @p459 @p372 @p240) :args (false (@list true true false false) (@list @t297 @t298 @t299 @t214))) % 15.85/16.03 ) % 15.85/16.03 % SZS output end Proof % 15.85/16.03 % cvc5 exiting %------------------------------------------------------------------------------