%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM019+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 : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:10:26 AM UTC 2026 % Result : Theorem 114.38s 114.61s % Output : Proof 114.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM019+4 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n001.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 20:29:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 114.38/114.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 114.38/114.61 --- Run --no-e-matching --full-saturate-quant at 6... % 114.38/114.61 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 114.38/114.61 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 114.38/114.61 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 114.38/114.61 --- Run --trigger-sel=max --full-saturate-quant at 15... % 114.38/114.61 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 114.38/114.61 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 114.38/114.61 % SZS status Theorem % 114.38/114.61 % SZS output start Proof % 114.38/114.61 ( % 114.38/114.61 (declare-sort $$unsorted 0) % 114.38/114.61 (declare-const tptp.xv $$unsorted) % 114.38/114.61 (declare-const tptp.xu $$unsorted) % 114.38/114.61 (declare-const tptp.xa $$unsorted) % 114.38/114.61 (declare-const tptp.xw $$unsorted) % 114.38/114.61 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 114.38/114.61 (declare-const tptp.aRewritingSystem0 (-> $$unsorted Bool)) % 114.38/114.61 (declare-const tptp.sdtmndtplgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 114.38/114.61 (declare-const tptp.sdtmndtasgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 114.38/114.61 (declare-const tptp.aReductOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 114.38/114.61 (declare-const tptp.isLocallyConfluent0 (-> $$unsorted Bool)) % 114.38/114.61 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 114.38/114.61 (declare-const tptp.isConfluent0 (-> $$unsorted Bool)) % 114.38/114.61 (declare-const tptp.xR $$unsorted) % 114.38/114.61 (declare-const tptp.isTerminating0 (-> $$unsorted Bool)) % 114.38/114.61 (declare-const tptp.aNormalFormOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 114.38/114.61 (declare-const tptp.xd $$unsorted) % 114.38/114.61 (declare-const tptp.xc $$unsorted) % 114.38/114.61 (declare-const tptp.xb $$unsorted) % 114.38/114.61 (define @t1 () (@var "W0" $$unsorted)) % 114.38/114.61 (define @t2 () (tptp.aElement0 @t1)) % 114.38/114.61 (define @t3 () (@list @t1)) % 114.38/114.61 (define @t4 () (tptp.aRewritingSystem0 @t1)) % 114.38/114.61 (define @t5 () (@var "W2" $$unsorted)) % 114.38/114.61 (define @t6 () (tptp.aElement0 @t5)) % 114.38/114.61 (define @t7 () (@var "W1" $$unsorted)) % 114.38/114.61 (define @t8 () (tptp.aReductOfIn0 @t5 @t1 @t7)) % 114.38/114.61 (define @t9 () (@list @t5)) % 114.38/114.61 (define @t10 () (tptp.aRewritingSystem0 @t7)) % 114.38/114.61 (define @t11 () (and @t2 @t10)) % 114.38/114.61 (define @t12 () (@list @t1 @t7)) % 114.38/114.61 (define @t13 () (tptp.aElement0 @t7)) % 114.38/114.61 (define @t14 () (and @t2 @t13)) % 114.38/114.61 (define @t15 () (tptp.sdtmndtplgtdt0 @t1 @t7 @t5)) % 114.38/114.61 (define @t16 () (and @t2 @t10 @t6)) % 114.38/114.61 (define @t17 () (@list @t1 @t7 @t5)) % 114.38/114.61 (define @t18 () (@var "W3" $$unsorted)) % 114.38/114.61 (define @t19 () (tptp.aElement0 @t18)) % 114.38/114.61 (define @t20 () (@list @t18)) % 114.38/114.61 (define @t21 () (tptp.sdtmndtplgtdt0 @t1 @t7 @t18)) % 114.38/114.61 (define @t22 () (tptp.sdtmndtplgtdt0 @t5 @t7 @t18)) % 114.38/114.61 (define @t23 () (and @t15 @t22)) % 114.38/114.61 (define @t24 () (=> @t23 @t21)) % 114.38/114.61 (define @t25 () (and @t2 @t10 @t6 @t19)) % 114.38/114.61 (define @t26 () (@list @t1 @t7 @t5 @t18)) % 114.38/114.61 (define @t27 () (forall @t26 (=> @t25 @t24))) % 114.38/114.61 (define @t28 () (= @t1 @t5)) % 114.38/114.61 (define @t29 () (tptp.sdtmndtasgtdt0 @t1 @t7 @t5)) % 114.38/114.61 (define @t30 () (@var "W4" $$unsorted)) % 114.38/114.61 (define @t31 () (tptp.aElement0 @t30)) % 114.38/114.61 (define @t32 () (@list @t30)) % 114.38/114.61 (define @t33 () (exists @t32 (and @t31 (tptp.sdtmndtasgtdt0 @t5 @t1 @t30) (tptp.sdtmndtasgtdt0 @t18 @t1 @t30)))) % 114.38/114.61 (define @t34 () (@list @t7 @t5 @t18)) % 114.38/114.61 (define @t35 () (tptp.isTerminating0 @t1)) % 114.38/114.61 (define @t36 () (tptp.aRewritingSystem0 tptp.xR)) % 114.38/114.61 (define @t37 () (tptp.iLess0 @t7 @t1)) % 114.38/114.61 (define @t38 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR @t7)) % 114.38/114.61 (define @t39 () (tptp.sdtmndtplgtdt0 @t5 tptp.xR @t7)) % 114.38/114.61 (define @t40 () (tptp.aReductOfIn0 @t5 @t1 tptp.xR)) % 114.38/114.61 (define @t41 () (and @t6 @t40 @t39)) % 114.38/114.61 (define @t42 () (exists @t9 @t41)) % 114.38/114.61 (define @t43 () (tptp.aReductOfIn0 @t7 @t1 tptp.xR)) % 114.38/114.61 (define @t44 () (or @t43 @t42 @t38)) % 114.38/114.61 (define @t45 () (=> @t44 @t37)) % 114.38/114.61 (define @t46 () (=> @t14 @t45)) % 114.38/114.61 (define @t47 () (forall @t12 @t46)) % 114.38/114.61 (define @t48 () (tptp.sdtmndtasgtdt0 @t5 tptp.xR @t18)) % 114.38/114.61 (define @t49 () (tptp.sdtmndtplgtdt0 @t5 tptp.xR @t18)) % 114.38/114.61 (define @t50 () (tptp.sdtmndtplgtdt0 @t30 tptp.xR @t18)) % 114.38/114.61 (define @t51 () (tptp.aReductOfIn0 @t30 @t5 tptp.xR)) % 114.38/114.61 (define @t52 () (and @t31 @t51 @t50)) % 114.38/114.61 (define @t53 () (exists @t32 @t52)) % 114.38/114.61 (define @t54 () (tptp.aReductOfIn0 @t18 @t5 tptp.xR)) % 114.38/114.61 (define @t55 () (or @t54 @t53)) % 114.38/114.61 (define @t56 () (and @t55 @t49)) % 114.38/114.61 (define @t57 () (= @t5 @t18)) % 114.38/114.61 (define @t58 () (or @t57 @t56)) % 114.38/114.61 (define @t59 () (tptp.sdtmndtasgtdt0 @t7 tptp.xR @t18)) % 114.38/114.61 (define @t60 () (tptp.sdtmndtplgtdt0 @t7 tptp.xR @t18)) % 114.38/114.61 (define @t61 () (tptp.aReductOfIn0 @t30 @t7 tptp.xR)) % 114.38/114.61 (define @t62 () (and @t31 @t61 @t50)) % 114.38/114.61 (define @t63 () (exists @t32 @t62)) % 114.38/114.61 (define @t64 () (tptp.aReductOfIn0 @t18 @t7 tptp.xR)) % 114.38/114.61 (define @t65 () (or @t64 @t63)) % 114.38/114.61 (define @t66 () (and @t65 @t60)) % 114.38/114.61 (define @t67 () (= @t7 @t18)) % 114.38/114.61 (define @t68 () (or @t67 @t66)) % 114.38/114.61 (define @t69 () (and @t19 @t68 @t59 @t58 @t48)) % 114.38/114.61 (define @t70 () (exists @t20 @t69)) % 114.38/114.61 (define @t71 () (tptp.aElement0 tptp.xb)) % 114.38/114.61 (define @t72 () (tptp.aElement0 tptp.xa)) % 114.38/114.61 (define @t73 () (tptp.iLess0 @t1 tptp.xa)) % 114.38/114.61 (define @t74 () (=> @t73 @t70)) % 114.38/114.61 (define @t75 () (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t5)) % 114.38/114.61 (define @t76 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR @t5)) % 114.38/114.61 (define @t77 () (tptp.sdtmndtplgtdt0 @t18 tptp.xR @t5)) % 114.38/114.61 (define @t78 () (tptp.aReductOfIn0 @t18 @t1 tptp.xR)) % 114.38/114.61 (define @t79 () (and @t19 @t78 @t77)) % 114.38/114.61 (define @t80 () (exists @t20 @t79)) % 114.38/114.61 (define @t81 () (or @t28 @t40 @t80 @t76 @t75)) % 114.38/114.61 (define @t82 () (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t7)) % 114.38/114.61 (define @t83 () (tptp.sdtmndtplgtdt0 @t18 tptp.xR @t7)) % 114.38/114.61 (define @t84 () (and @t19 @t78 @t83)) % 114.38/114.61 (define @t85 () (exists @t20 @t84)) % 114.38/114.61 (define @t86 () (= @t1 @t7)) % 114.38/114.61 (define @t87 () (or @t86 @t43 @t85 @t38 @t82)) % 114.38/114.61 (define @t88 () (and @t2 @t13 @t6 @t87 @t81)) % 114.38/114.61 (define @t89 () (=> @t88 @t74)) % 114.38/114.61 (define @t90 () (forall @t17 @t89)) % 114.38/114.61 (define @t91 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xc)) % 114.38/114.61 (define @t92 () (tptp.aReductOfIn0 @t1 tptp.xa tptp.xR)) % 114.38/114.61 (define @t93 () (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xb)) % 114.38/114.61 (define @t94 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xb)) % 114.38/114.61 (define @t95 () (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xb)) % 114.38/114.61 (define @t96 () (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR tptp.xb)) % 114.38/114.61 (define @t97 () (tptp.aReductOfIn0 @t1 tptp.xu tptp.xR)) % 114.38/114.61 (define @t98 () (and @t2 @t97 @t94)) % 114.38/114.61 (define @t99 () (exists @t3 @t98)) % 114.38/114.61 (define @t100 () (tptp.aReductOfIn0 tptp.xb tptp.xu tptp.xR)) % 114.38/114.61 (define @t101 () (or @t100 @t99)) % 114.38/114.61 (define @t102 () (and @t101 @t96)) % 114.38/114.61 (define @t103 () (= tptp.xu tptp.xb)) % 114.38/114.61 (define @t104 () (or @t103 @t102)) % 114.38/114.61 (define @t105 () (tptp.aReductOfIn0 tptp.xu tptp.xa tptp.xR)) % 114.38/114.61 (define @t106 () (tptp.aElement0 tptp.xu)) % 114.38/114.61 (define @t107 () (tptp.aReductOfIn0 @t1 tptp.xv tptp.xR)) % 114.38/114.61 (define @t108 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xw)) % 114.38/114.61 (define @t109 () (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xw)) % 114.38/114.61 (define @t110 () (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR tptp.xw)) % 114.38/114.61 (define @t111 () (and @t2 @t97 @t108)) % 114.38/114.61 (define @t112 () (exists @t3 @t111)) % 114.38/114.61 (define @t113 () (tptp.aReductOfIn0 tptp.xw tptp.xu tptp.xR)) % 114.38/114.61 (define @t114 () (or @t113 @t112)) % 114.38/114.61 (define @t115 () (and @t114 @t110)) % 114.38/114.61 (define @t116 () (= tptp.xu tptp.xw)) % 114.38/114.61 (define @t117 () (or @t116 @t115)) % 114.38/114.61 (define @t118 () (tptp.aElement0 tptp.xw)) % 114.38/114.61 (define @t119 () (tptp.aReductOfIn0 @t1 tptp.xd tptp.xR)) % 114.38/114.61 (define @t120 () (exists @t3 @t119)) % 114.38/114.61 (define @t121 () (not @t120)) % 114.38/114.61 (define @t122 () (tptp.sdtmndtasgtdt0 tptp.xw tptp.xR tptp.xd)) % 114.38/114.61 (define @t123 () (tptp.sdtmndtplgtdt0 tptp.xw tptp.xR tptp.xd)) % 114.38/114.61 (define @t124 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xd)) % 114.38/114.61 (define @t125 () (tptp.aReductOfIn0 @t1 tptp.xw tptp.xR)) % 114.38/114.61 (define @t126 () (and @t2 @t125 @t124)) % 114.38/114.61 (define @t127 () (exists @t3 @t126)) % 114.38/114.61 (define @t128 () (tptp.aReductOfIn0 tptp.xd tptp.xw tptp.xR)) % 114.38/114.61 (define @t129 () (or @t128 @t127)) % 114.38/114.61 (define @t130 () (and @t129 @t123)) % 114.38/114.61 (define @t131 () (= tptp.xw tptp.xd)) % 114.38/114.61 (define @t132 () (or @t131 @t130)) % 114.38/114.61 (define @t133 () (tptp.aElement0 tptp.xd)) % 114.38/114.61 (define @t134 () (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR tptp.xd)) % 114.38/114.61 (define @t135 () (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR tptp.xd)) % 114.38/114.61 (define @t136 () (tptp.aReductOfIn0 @t1 tptp.xb tptp.xR)) % 114.38/114.61 (define @t137 () (and @t2 @t136 @t124)) % 114.38/114.61 (define @t138 () (exists @t3 @t137)) % 114.38/114.61 (define @t139 () (tptp.aReductOfIn0 tptp.xd tptp.xb tptp.xR)) % 114.38/114.61 (define @t140 () (= tptp.xb tptp.xd)) % 114.38/114.61 (define @t141 () (or @t140 @t139 @t138 @t135 @t134)) % 114.38/114.61 (define @t142 () (not @t141)) % 114.38/114.61 (define @t143 () (not @t22)) % 114.38/114.61 (define @t144 () (not @t15)) % 114.38/114.61 (define @t145 () (not @t19)) % 114.38/114.61 (define @t146 () (not @t6)) % 114.38/114.61 (define @t147 () (not @t10)) % 114.38/114.61 (define @t148 () (not @t2)) % 114.38/114.61 (define @t149 () (or @t148 @t147 @t146 @t145 @t144 @t143 @t21)) % 114.38/114.61 (define @t150 () (or @t144 @t143 @t21)) % 114.38/114.61 (define @t151 () (or @t148 @t147 @t146 @t145)) % 114.38/114.61 (define @t152 () (not @t48)) % 114.38/114.61 (define @t153 () (not @t49)) % 114.38/114.61 (define @t154 () (@var "BOUND_VARIABLE_7934" $$unsorted)) % 114.38/114.61 (define @t155 () (not (tptp.sdtmndtplgtdt0 @t154 tptp.xR @t18))) % 114.38/114.61 (define @t156 () (not (tptp.aElement0 @t154))) % 114.38/114.61 (define @t157 () (or @t156 (not (tptp.aReductOfIn0 @t154 @t5 tptp.xR)) @t155)) % 114.38/114.61 (define @t158 () (not @t54)) % 114.38/114.61 (define @t159 () (and @t158 @t157)) % 114.38/114.61 (define @t160 () (or @t159 @t153)) % 114.38/114.61 (define @t161 () (not @t57)) % 114.38/114.61 (define @t162 () (and @t161 @t160)) % 114.38/114.61 (define @t163 () (not @t59)) % 114.38/114.61 (define @t164 () (not @t60)) % 114.38/114.61 (define @t165 () (@var "BOUND_VARIABLE_7922" $$unsorted)) % 114.38/114.61 (define @t166 () (not (tptp.sdtmndtplgtdt0 @t165 tptp.xR @t18))) % 114.38/114.61 (define @t167 () (not (tptp.aElement0 @t165))) % 114.38/114.61 (define @t168 () (or @t167 (not (tptp.aReductOfIn0 @t165 @t7 tptp.xR)) @t166)) % 114.38/114.61 (define @t169 () (not @t64)) % 114.38/114.61 (define @t170 () (and @t169 @t168)) % 114.38/114.61 (define @t171 () (or @t170 @t164)) % 114.38/114.61 (define @t172 () (not @t67)) % 114.38/114.61 (define @t173 () (and @t172 @t171)) % 114.38/114.61 (define @t174 () (or @t145 @t173 @t163 @t162 @t152)) % 114.38/114.61 (define @t175 () (@list @t18 @t165 @t154)) % 114.38/114.61 (define @t176 () (forall @t175 @t174)) % 114.38/114.61 (define @t177 () (not @t176)) % 114.38/114.61 (define @t178 () (not @t73)) % 114.38/114.61 (define @t179 () (not @t75)) % 114.38/114.61 (define @t180 () (not @t76)) % 114.38/114.61 (define @t181 () (@var "BOUND_VARIABLE_8038" $$unsorted)) % 114.38/114.61 (define @t182 () (or (not (tptp.aElement0 @t181)) (not (tptp.aReductOfIn0 @t181 @t1 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t181 tptp.xR @t5)))) % 114.38/114.61 (define @t183 () (not @t40)) % 114.38/114.61 (define @t184 () (not @t28)) % 114.38/114.61 (define @t185 () (and @t184 @t183 @t182 @t180 @t179)) % 114.38/114.61 (define @t186 () (not @t82)) % 114.38/114.61 (define @t187 () (not @t38)) % 114.38/114.61 (define @t188 () (@var "BOUND_VARIABLE_8028" $$unsorted)) % 114.38/114.61 (define @t189 () (or (not (tptp.aElement0 @t188)) (not (tptp.aReductOfIn0 @t188 @t1 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t188 tptp.xR @t7)))) % 114.38/114.61 (define @t190 () (not @t43)) % 114.38/114.61 (define @t191 () (not @t86)) % 114.38/114.61 (define @t192 () (and @t191 @t190 @t189 @t187 @t186)) % 114.38/114.61 (define @t193 () (not @t13)) % 114.38/114.61 (define @t194 () (or @t148 @t193 @t146 @t192 @t185 @t178 @t177)) % 114.38/114.61 (define @t195 () (forall (@list @t1 @t7 @t5 @t188 @t181) @t194)) % 114.38/114.61 (define @t196 () (forall (@list @t188 @t181) @t194)) % 114.38/114.61 (define @t197 () (@list @t181)) % 114.38/114.61 (define @t198 () (forall @t197 @t179)) % 114.38/114.61 (define @t199 () (forall @t197 @t180)) % 114.38/114.61 (define @t200 () (forall @t197 @t182)) % 114.38/114.61 (define @t201 () (@list @t18)) % 114.38/114.61 (define @t202 () (forall @t197 @t183)) % 114.38/114.61 (define @t203 () (forall @t197 @t184)) % 114.38/114.61 (define @t204 () (and @t203 @t202 @t200 @t199 @t198)) % 114.38/114.61 (define @t205 () (forall @t197 @t185)) % 114.38/114.61 (define @t206 () (@list @t188)) % 114.38/114.61 (define @t207 () (forall @t206 @t186)) % 114.38/114.61 (define @t208 () (forall @t206 @t187)) % 114.38/114.61 (define @t209 () (forall @t206 @t189)) % 114.38/114.61 (define @t210 () (forall @t206 @t190)) % 114.38/114.61 (define @t211 () (forall @t206 @t191)) % 114.38/114.61 (define @t212 () (and @t211 @t210 @t209 @t208 @t207)) % 114.38/114.61 (define @t213 () (forall @t206 @t192)) % 114.38/114.61 (define @t214 () (or @t148 @t193 @t146 @t213 @t205 @t178 @t177)) % 114.38/114.61 (define @t215 () (not @t77)) % 114.38/114.61 (define @t216 () (not @t78)) % 114.38/114.61 (define @t217 () (or @t145 @t216 @t215)) % 114.38/114.61 (define @t218 () (forall @t20 @t217)) % 114.38/114.61 (define @t219 () (and @t184 @t183 @t218 @t180 @t179)) % 114.38/114.61 (define @t220 () (not @t83)) % 114.38/114.61 (define @t221 () (or @t145 @t216 @t220)) % 114.38/114.61 (define @t222 () (forall @t20 @t221)) % 114.38/114.61 (define @t223 () (and @t191 @t190 @t222 @t187 @t186)) % 114.38/114.61 (define @t224 () (or @t148 @t193 @t146 @t223 @t219 @t178 @t177)) % 114.38/114.61 (define @t225 () (not @t218)) % 114.38/114.61 (define @t226 () (not @t225)) % 114.38/114.61 (define @t227 () (and @t184 @t183 @t226 @t180 @t179)) % 114.38/114.61 (define @t228 () (not @t222)) % 114.38/114.61 (define @t229 () (not @t228)) % 114.38/114.61 (define @t230 () (and @t191 @t190 @t229 @t187 @t186)) % 114.38/114.61 (define @t231 () (or @t28 @t40 @t225 @t76 @t75)) % 114.38/114.61 (define @t232 () (not @t231)) % 114.38/114.61 (define @t233 () (or @t86 @t43 @t228 @t38 @t82)) % 114.38/114.61 (define @t234 () (not @t233)) % 114.38/114.61 (define @t235 () (or @t148 @t193 @t146 @t234 @t232)) % 114.38/114.61 (define @t236 () (=> @t73 @t177)) % 114.38/114.61 (define @t237 () (and @t2 @t13 @t6 @t233 @t231)) % 114.38/114.61 (define @t238 () (forall (@list @t165 @t154) @t174)) % 114.38/114.61 (define @t239 () (@list @t154)) % 114.38/114.61 (define @t240 () (forall @t239 @t157)) % 114.38/114.61 (define @t241 () (@list @t30)) % 114.38/114.61 (define @t242 () (forall @t239 @t158)) % 114.38/114.61 (define @t243 () (and @t242 @t240)) % 114.38/114.61 (define @t244 () (forall @t239 @t159)) % 114.38/114.61 (define @t245 () (or @t244 @t153)) % 114.38/114.61 (define @t246 () (forall @t239 @t160)) % 114.38/114.61 (define @t247 () (forall @t239 @t161)) % 114.38/114.61 (define @t248 () (and @t247 @t246)) % 114.38/114.61 (define @t249 () (forall @t239 @t162)) % 114.38/114.61 (define @t250 () (@list @t165)) % 114.38/114.61 (define @t251 () (forall @t250 @t168)) % 114.38/114.61 (define @t252 () (forall @t250 @t169)) % 114.38/114.61 (define @t253 () (and @t252 @t251)) % 114.38/114.61 (define @t254 () (forall @t250 @t170)) % 114.38/114.61 (define @t255 () (or @t254 @t164)) % 114.38/114.61 (define @t256 () (forall @t250 @t171)) % 114.38/114.61 (define @t257 () (forall @t250 @t172)) % 114.38/114.61 (define @t258 () (and @t257 @t256)) % 114.38/114.61 (define @t259 () (forall @t250 @t173)) % 114.38/114.61 (define @t260 () (or @t145 @t259 @t163 @t249 @t152)) % 114.38/114.61 (define @t261 () (not @t50)) % 114.38/114.61 (define @t262 () (not @t51)) % 114.38/114.61 (define @t263 () (not @t31)) % 114.38/114.61 (define @t264 () (or @t263 @t262 @t261)) % 114.38/114.61 (define @t265 () (forall @t32 @t264)) % 114.38/114.61 (define @t266 () (not @t61)) % 114.38/114.61 (define @t267 () (or @t263 @t266 @t261)) % 114.38/114.61 (define @t268 () (forall @t32 @t267)) % 114.38/114.61 (define @t269 () (not @t265)) % 114.38/114.61 (define @t270 () (or @t54 @t269)) % 114.38/114.61 (define @t271 () (and @t270 @t49)) % 114.38/114.61 (define @t272 () (not @t268)) % 114.38/114.61 (define @t273 () (or @t64 @t272)) % 114.38/114.61 (define @t274 () (and @t273 @t60)) % 114.38/114.61 (define @t275 () (or @t57 @t271)) % 114.38/114.61 (define @t276 () (not @t275)) % 114.38/114.61 (define @t277 () (or @t67 @t274)) % 114.38/114.61 (define @t278 () (not @t277)) % 114.38/114.61 (define @t279 () (or @t145 @t278 @t163 @t276 @t152)) % 114.38/114.61 (define @t280 () (and @t19 @t277 @t59 @t275 @t48)) % 114.38/114.61 (define @t281 () (forall @t20 (not @t280))) % 114.38/114.61 (define @t282 () (not @t281)) % 114.38/114.61 (define @t283 () (forall @t32 (not @t52))) % 114.38/114.61 (define @t284 () (not @t283)) % 114.38/114.61 (define @t285 () (forall @t32 (not @t62))) % 114.38/114.61 (define @t286 () (not @t285)) % 114.38/114.61 (define @t287 () (forall @t20 (not @t79))) % 114.38/114.61 (define @t288 () (not @t287)) % 114.38/114.61 (define @t289 () (forall @t20 (not @t84))) % 114.38/114.61 (define @t290 () (not @t289)) % 114.38/114.61 (define @t291 () (not (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR @t18))) % 114.38/114.61 (define @t292 () (not (tptp.sdtmndtplgtdt0 tptp.xd tptp.xR @t18))) % 114.38/114.61 (define @t293 () (not (tptp.aReductOfIn0 @t18 tptp.xd tptp.xR))) % 114.38/114.61 (define @t294 () (or (and @t293 (or @t156 (not (tptp.aReductOfIn0 @t154 tptp.xd tptp.xR)) @t155)) @t292)) % 114.38/114.61 (define @t295 () (not (= tptp.xd @t18))) % 114.38/114.61 (define @t296 () (and @t295 @t294)) % 114.38/114.61 (define @t297 () (not (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR @t18))) % 114.38/114.61 (define @t298 () (not (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR @t18))) % 114.38/114.61 (define @t299 () (not (tptp.aReductOfIn0 @t18 tptp.xb tptp.xR))) % 114.38/114.61 (define @t300 () (or (and @t299 (or @t167 (not (tptp.aReductOfIn0 @t165 tptp.xb tptp.xR)) @t166)) @t298)) % 114.38/114.61 (define @t301 () (not (= tptp.xb @t18))) % 114.38/114.61 (define @t302 () (and @t301 @t300)) % 114.38/114.61 (define @t303 () (or @t145 @t302 @t297 @t296 @t291)) % 114.38/114.61 (define @t304 () (forall @t175 @t303)) % 114.38/114.61 (define @t305 () (not @t304)) % 114.38/114.61 (define @t306 () (tptp.iLess0 tptp.xu tptp.xa)) % 114.38/114.61 (define @t307 () (not @t306)) % 114.38/114.61 (define @t308 () (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xd)) % 114.38/114.61 (define @t309 () (not @t308)) % 114.38/114.61 (define @t310 () (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR tptp.xd)) % 114.38/114.61 (define @t311 () (not @t310)) % 114.38/114.61 (define @t312 () (not (tptp.aReductOfIn0 tptp.xa tptp.xu tptp.xR))) % 114.38/114.61 (define @t313 () (not @t72)) % 114.38/114.61 (define @t314 () (and (not (= tptp.xu tptp.xd)) (not (tptp.aReductOfIn0 tptp.xd tptp.xu tptp.xR)) (or @t313 @t312 (not (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xd))) @t311 @t309)) % 114.38/114.61 (define @t315 () (not @t95)) % 114.38/114.61 (define @t316 () (not @t96)) % 114.38/114.61 (define @t317 () (or @t313 @t312 (not @t93))) % 114.38/114.61 (define @t318 () (not @t100)) % 114.38/114.61 (define @t319 () (not @t103)) % 114.38/114.61 (define @t320 () (and @t319 @t318 @t317 @t316 @t315)) % 114.38/114.61 (define @t321 () (not @t133)) % 114.38/114.61 (define @t322 () (not @t71)) % 114.38/114.61 (define @t323 () (not @t106)) % 114.38/114.61 (define @t324 () (or @t323 @t322 @t321 @t320 @t314 @t307 @t305)) % 114.38/114.61 (define @t325 () (not (= @t18 tptp.xd))) % 114.38/114.61 (define @t326 () (and @t325 @t294)) % 114.38/114.61 (define @t327 () (not (= @t18 tptp.xb))) % 114.38/114.61 (define @t328 () (and @t327 @t300)) % 114.38/114.61 (define @t329 () (or @t145 @t328 @t297 @t326 @t291)) % 114.38/114.61 (define @t330 () (forall @t175 @t329)) % 114.38/114.61 (define @t331 () (not @t330)) % 114.38/114.61 (define @t332 () (= tptp.xb tptp.xu)) % 114.38/114.61 (define @t333 () (not @t332)) % 114.38/114.61 (define @t334 () (and @t333 @t318 @t317 @t316 @t315)) % 114.38/114.61 (define @t335 () (or @t323 @t322 @t321 @t334 @t314 @t307 @t331)) % 114.38/114.61 (define @t336 () (@list false)) % 114.38/114.61 (define @t337 () (not @t124)) % 114.38/114.61 (define @t338 () (not @t136)) % 114.38/114.61 (define @t339 () (forall @t3 (not @t137))) % 114.38/114.61 (define @t340 () (not @t339)) % 114.38/114.61 (define @t341 () (not @t122)) % 114.38/114.61 (define @t342 () (not @t116)) % 114.38/114.61 (define @t343 () (not @t134)) % 114.38/114.61 (define @t344 () (not @t343)) % 114.38/114.61 (define @t345 () (= true false)) % 114.38/114.61 (define @t346 () (and @t343 @t332 @t116 @t122)) % 114.38/114.61 (define @t347 () (not @t131)) % 114.38/114.61 (define @t348 () (not @t109)) % 114.38/114.61 (define @t349 () (= false true)) % 114.38/114.61 (define @t350 () (and @t109 @t332 @t131 @t343)) % 114.38/114.61 (define @t351 () (not @t108)) % 114.38/114.61 (define @t352 () (not @t97)) % 114.38/114.61 (define @t353 () (or @t148 @t352 @t351)) % 114.38/114.61 (define @t354 () (forall @t3 (not @t111))) % 114.38/114.61 (define @t355 () (not @t354)) % 114.38/114.61 (define @t356 () (not @t125)) % 114.38/114.61 (define @t357 () (or @t148 @t356 @t337)) % 114.38/114.61 (define @t358 () (forall @t3 (not @t126))) % 114.38/114.61 (define @t359 () (not @t358)) % 114.38/114.61 (define @t360 () (and (or @t113 (not (forall @t3 @t353))) @t110)) % 114.38/114.61 (define @t361 () (and (or @t128 (not (forall @t3 @t357))) @t123)) % 114.38/114.61 (define @t362 () (not @t123)) % 114.38/114.61 (define @t363 () (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR tptp.xw)) % 114.38/114.61 (define @t364 () (not @t363)) % 114.38/114.61 (define @t365 () (not @t118)) % 114.38/114.61 (define @t366 () (not @t36)) % 114.38/114.61 (define @t367 () (or @t322 @t366 @t365 @t321 @t364 @t362 @t135)) % 114.38/114.61 (define @t368 () (and @t110 @t332)) % 114.38/114.61 (define @t369 () (not @t110)) % 114.38/114.61 (define @t370 () (not @t94)) % 114.38/114.61 (define @t371 () (or @t148 @t352 @t370)) % 114.38/114.61 (define @t372 () (forall @t3 (not @t98))) % 114.38/114.61 (define @t373 () (not @t372)) % 114.38/114.61 (define @t374 () (and (or @t100 (not (forall @t3 @t371))) @t96)) % 114.38/114.61 (define @t375 () (@list true)) % 114.38/114.61 (define @t376 () (not @t334)) % 114.38/114.61 (define @t377 () (@var "BOUND_VARIABLE_7978" $$unsorted)) % 114.38/114.61 (define @t378 () (or (not (tptp.aElement0 @t377)) (not (tptp.aReductOfIn0 @t377 @t1 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t377 tptp.xR @t7)))) % 114.38/114.61 (define @t379 () (and @t190 @t378 @t187)) % 114.38/114.61 (define @t380 () (or @t148 @t193 @t379 @t37)) % 114.38/114.61 (define @t381 () (@list @t377)) % 114.38/114.61 (define @t382 () (forall @t381 @t380)) % 114.38/114.61 (define @t383 () (forall @t381 @t187)) % 114.38/114.61 (define @t384 () (forall @t381 @t378)) % 114.38/114.61 (define @t385 () (forall @t381 @t190)) % 114.38/114.61 (define @t386 () (and @t385 @t384 @t383)) % 114.38/114.61 (define @t387 () (forall @t381 @t379)) % 114.38/114.61 (define @t388 () (or @t148 @t193 @t387 @t37)) % 114.38/114.61 (define @t389 () (not @t39)) % 114.38/114.61 (define @t390 () (or @t146 @t183 @t389)) % 114.38/114.61 (define @t391 () (forall @t9 @t390)) % 114.38/114.61 (define @t392 () (and @t190 @t391 @t187)) % 114.38/114.61 (define @t393 () (or @t148 @t193 @t392 @t37)) % 114.38/114.61 (define @t394 () (not @t391)) % 114.38/114.61 (define @t395 () (not @t394)) % 114.38/114.61 (define @t396 () (and @t190 @t395 @t187)) % 114.38/114.61 (define @t397 () (or @t43 @t394 @t38)) % 114.38/114.61 (define @t398 () (=> @t397 @t37)) % 114.38/114.61 (define @t399 () (forall @t9 (not @t41))) % 114.38/114.61 (define @t400 () (not @t399)) % 114.38/114.61 (define @t401 () (not (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xu))) % 114.38/114.61 (define @t402 () (not @t105)) % 114.38/114.61 (define @t403 () (and @t402 (or @t313 (not (tptp.aReductOfIn0 tptp.xa tptp.xa tptp.xR)) @t401) @t401)) % 114.38/114.61 (define @t404 () (not @t403)) % 114.38/114.61 (define @t405 () (or @t313 @t323 @t403 @t306)) % 114.38/114.61 (define @t406 () (forall @t175 (or @t145 (and @t325 (or (and @t293 (or @t167 (not (tptp.aReductOfIn0 @t165 tptp.xd tptp.xR)) @t166)) @t292)) @t291 (and @t327 (or (and @t299 (or @t156 (not (tptp.aReductOfIn0 @t154 tptp.xb tptp.xR)) @t155)) @t298)) @t297))) % 114.38/114.61 (define @t407 () (@quantifiers_skolemize @t406 0)) % 114.38/114.61 (define @t408 () (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR @t407)) % 114.38/114.61 (define @t409 () (not @t408)) % 114.38/114.61 (define @t410 () (@quantifiers_skolemize @t406 2)) % 114.38/114.61 (define @t411 () (or (and (not (tptp.aReductOfIn0 @t407 tptp.xb tptp.xR)) (or (not (tptp.aElement0 @t410)) (not (tptp.aReductOfIn0 @t410 tptp.xb tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t410 tptp.xR @t407)))) (not (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR @t407)))) % 114.38/114.61 (define @t412 () (not (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR @t407))) % 114.38/114.61 (define @t413 () (@quantifiers_skolemize @t406 1)) % 114.38/114.61 (define @t414 () (tptp.aReductOfIn0 @t413 tptp.xd tptp.xR)) % 114.38/114.61 (define @t415 () (not @t414)) % 114.38/114.61 (define @t416 () (or (not (tptp.aElement0 @t413)) @t415 (not (tptp.sdtmndtplgtdt0 @t413 tptp.xR @t407)))) % 114.38/114.61 (define @t417 () (tptp.aReductOfIn0 @t407 tptp.xd tptp.xR)) % 114.38/114.61 (define @t418 () (not @t417)) % 114.38/114.61 (define @t419 () (and @t418 @t416)) % 114.38/114.61 (define @t420 () (or @t419 (not (tptp.sdtmndtplgtdt0 tptp.xd tptp.xR @t407)))) % 114.38/114.61 (define @t421 () (= tptp.xd @t407)) % 114.38/114.61 (define @t422 () (not @t421)) % 114.38/114.61 (define @t423 () (and @t422 @t420)) % 114.38/114.61 (define @t424 () (not (tptp.aElement0 @t407))) % 114.38/114.61 (define @t425 () (or @t424 @t423 @t412 (and (not (= tptp.xb @t407)) @t411) @t409)) % 114.38/114.61 (define @t426 () (forall @t3 (not @t119))) % 114.38/114.61 (define @t427 () (not @t416)) % 114.38/114.61 (define @t428 () (@list true false)) % 114.38/114.61 (define @t429 () (not @t420)) % 114.38/114.61 (define @t430 () (and @t343 @t421 @t408)) % 114.38/114.61 (define @t431 () (not @t425)) % 114.38/114.61 (define @t432 () (not @t406)) % 114.38/114.61 (define @t433 () (not (= @t407 tptp.xb))) % 114.38/114.61 (define @t434 () (and @t433 @t411)) % 114.38/114.61 (define @t435 () (not (= @t407 tptp.xd))) % 114.38/114.61 (define @t436 () (and @t435 @t420)) % 114.38/114.61 (define @t437 () (or @t424 @t436 @t412 @t434 @t409)) % 114.38/114.61 (define @t438 () (not @t437)) % 114.38/114.61 (define @t439 () (or @t145 @t326 @t291 @t328 @t297)) % 114.38/114.61 (define @t440 () (forall @t175 @t439)) % 114.38/114.61 (define @t441 () (@var "BOUND_VARIABLE_17827" $$unsorted)) % 114.38/114.61 (define @t442 () (@var "BOUND_VARIABLE_17828" $$unsorted)) % 114.38/114.61 (define @t443 () (@var "BOUND_VARIABLE_17829" $$unsorted)) % 114.38/114.61 (define @t444 () (@list @t441 @t442 @t443)) % 114.38/114.61 (define @t445 () (not @t314)) % 114.38/114.61 (define @t446 () (@list @t314)) % 114.38/114.61 (define @t447 () (@list false true)) % 114.38/114.61 (define @t448 () (and @t116 @t123)) % 114.38/114.61 (define @t449 () (or @t323 @t366 @t365 @t321 @t369 @t362 @t310)) % 114.38/114.61 (define @t450 () (not @t449)) % 114.38/114.61 (define @t451 () (forall @t26 @t149)) % 114.38/114.61 (assume @p1 (forall @t3 (=> @t2 true))) % 114.38/114.61 (assume @p2 (forall @t3 (=> @t4 true))) % 114.38/114.61 (assume @p3 (forall @t12 (=> @t11 (forall @t9 (=> @t8 @t6))))) % 114.38/114.61 (assume @p4 (forall @t12 (=> @t14 (=> (tptp.iLess0 @t1 @t7) true)))) % 114.38/114.61 (assume @p5 (forall @t17 (=> @t16 (=> @t15 true)))) % 114.38/114.61 (assume @p6 (forall @t17 (=> @t16 (= @t15 (or @t8 (exists @t20 (and @t19 (tptp.aReductOfIn0 @t18 @t1 @t7) (tptp.sdtmndtplgtdt0 @t18 @t7 @t5)))))))) % 114.38/114.61 (assume @p7 @t27) % 114.38/114.61 (assume @p8 (forall @t17 (=> @t16 (= @t29 (or @t28 @t15))))) % 114.38/114.61 (assume @p9 (forall @t26 (=> @t25 (=> (and @t29 (tptp.sdtmndtasgtdt0 @t5 @t7 @t18)) (tptp.sdtmndtasgtdt0 @t1 @t7 @t18))))) % 114.38/114.61 (assume @p10 (forall @t3 (=> @t4 (= (tptp.isConfluent0 @t1) (forall @t34 (=> (and @t13 @t6 @t19 (tptp.sdtmndtasgtdt0 @t7 @t1 @t5) (tptp.sdtmndtasgtdt0 @t7 @t1 @t18)) @t33)))))) % 114.38/114.61 (assume @p11 (forall @t3 (=> @t4 (= (tptp.isLocallyConfluent0 @t1) (forall @t34 (=> (and @t13 @t6 @t19 (tptp.aReductOfIn0 @t5 @t7 @t1) (tptp.aReductOfIn0 @t18 @t7 @t1)) @t33)))))) % 114.38/114.61 (assume @p12 (forall @t3 (=> @t4 (= @t35 (forall (@list @t7 @t5) (=> (and @t13 @t6) (=> (tptp.sdtmndtplgtdt0 @t7 @t1 @t5) (tptp.iLess0 @t5 @t7)))))))) % 114.38/114.61 (assume @p13 (forall @t12 (=> @t11 (forall @t9 (= (tptp.aNormalFormOfIn0 @t5 @t1 @t7) (and @t6 @t29 (not (exists @t20 (tptp.aReductOfIn0 @t18 @t5 @t7))))))))) % 114.38/114.61 (assume @p14 (forall @t3 (=> (and @t4 @t35) (forall (@list @t7) (=> @t13 (exists @t9 (tptp.aNormalFormOfIn0 @t5 @t7 @t1))))))) % 114.38/114.61 (assume @p15 @t36) % 114.38/114.61 (assume @p16 (and (forall @t17 (=> (and @t2 @t13 @t6 @t43 @t40) @t70)) (tptp.isLocallyConfluent0 tptp.xR) @t47 (tptp.isTerminating0 tptp.xR))) % 114.38/114.61 (assume @p17 (and @t72 @t71 (tptp.aElement0 tptp.xc))) % 114.38/114.61 (assume @p18 @t90) % 114.38/114.61 (assume @p19 (and (or (tptp.aReductOfIn0 tptp.xb tptp.xa tptp.xR) (exists @t3 (and @t2 @t92 @t94))) @t93 (or (tptp.aReductOfIn0 tptp.xc tptp.xa tptp.xR) (exists @t3 (and @t2 @t92 @t91))) (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xc))) % 114.38/114.61 (assume @p20 (and @t106 @t105 @t104 @t95)) % 114.38/114.61 (assume @p21 (and (tptp.aElement0 tptp.xv) (tptp.aReductOfIn0 tptp.xv tptp.xa tptp.xR) (or (= tptp.xv tptp.xc) (and (or (tptp.aReductOfIn0 tptp.xc tptp.xv tptp.xR) (exists @t3 (and @t2 @t107 @t91))) (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR tptp.xc))) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xc))) % 114.38/114.61 (assume @p22 (and @t118 @t117 @t109 (or (= tptp.xv tptp.xw) (and (or (tptp.aReductOfIn0 tptp.xw tptp.xv tptp.xR) (exists @t3 (and @t2 @t107 @t108))) (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR tptp.xw))) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xw))) % 114.38/114.61 (assume @p23 (and @t133 @t132 @t122 @t121 (tptp.aNormalFormOfIn0 tptp.xd tptp.xw tptp.xR))) % 114.38/114.61 (assume @p24 @t142) % 114.38/114.61 (assume @p25 true) % 114.38/114.61 (step @p26 :rule aci_norm :args ((= (or @t151 @t150) @t149))) % 114.38/114.61 (step @p27 :rule aci_norm :args ((= (or (or @t144 @t143) @t21) @t150))) % 114.38/114.61 (step @p28 :rule refl :args (@t21)) % 114.38/114.61 (step @p29 :rule bool-and-de-morgan :args (@t15 @t22 true)) % 114.38/114.61 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or (not @t23) @t21))) % 114.38/114.61 (step @p31 :rule trans :premises (@p30 @p27)) % 114.38/114.61 (step @p32 :rule bool-impl-elim :args (@t23 @t21)) % 114.38/114.61 (step @p33 :rule trans :premises (@p32 @p31)) % 114.38/114.61 (step @p34 :rule aci_norm :args ((= (or @t148 (or @t147 (or @t146 @t145))) @t151))) % 114.38/114.61 (step @p35 :rule bool-and-de-morgan :args (@t6 @t19 true)) % 114.38/114.61 (step @p36 :rule refl :args (@t147)) % 114.38/114.61 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t147 (not (and @t6 @t19))))) % 114.38/114.61 (step @p38 :rule bool-and-de-morgan :args (@t10 @t6 (and @t19))) % 114.38/114.61 (step @p39 :rule trans :premises (@p38 @p37)) % 114.38/114.61 (step @p40 :rule refl :args (@t148)) % 114.38/114.61 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t148 (not (and @t10 @t6 @t19))))) % 114.38/114.61 (step @p42 :rule bool-and-de-morgan :args (@t2 @t10 (and @t6 @t19))) % 114.38/114.61 (step @p43 :rule trans :premises (@p42 @p41)) % 114.38/114.61 (step @p44 :rule trans :premises (@p43 @p34)) % 114.38/114.61 (step @p45 :rule nary_cong :premises (@p44 @p33) :args ((or (not @t25) @t24))) % 114.38/114.61 (step @p46 :rule trans :premises (@p45 @p26)) % 114.38/114.61 (step @p47 :rule bool-impl-elim :args (@t25 @t24)) % 114.38/114.61 (step @p48 :rule trans :premises (@p47 @p46)) % 114.38/114.61 (step @p49 :rule cong :premises (@p48) :args (@t27)) % 114.38/114.61 (step @p50 :rule eq_resolve :premises (@p7 @p49)) % 114.38/114.61 (step @p51 :rule quant-merge-prenex :args ((= (forall @t17 @t196) @t195))) % 114.38/114.61 (step @p52 :rule refl :args (@t177)) % 114.38/114.61 (step @p53 :rule refl :args (@t178)) % 114.38/114.61 (step @p54 :rule quant-unused-vars :args ((= @t198 @t179))) % 114.38/114.61 (step @p55 :rule quant-unused-vars :args ((= @t199 @t180))) % 114.38/114.61 (step @p56 :rule alpha_equiv :args (@t200 (@list @t181) @t201)) % 114.38/114.61 (step @p57 :rule quant-unused-vars :args ((= @t202 @t183))) % 114.38/114.61 (step @p58 :rule quant-unused-vars :args ((= @t203 @t184))) % 114.38/114.61 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56 @p55 @p54) :args (@t204)) % 114.38/114.61 (step @p60 :rule quant-miniscope-and :args ((= @t205 @t204))) % 114.38/114.61 (step @p61 :rule trans :premises (@p60 @p59)) % 114.38/114.61 (step @p62 :rule quant-unused-vars :args ((= @t207 @t186))) % 114.38/114.61 (step @p63 :rule quant-unused-vars :args ((= @t208 @t187))) % 114.38/114.61 (step @p64 :rule alpha_equiv :args (@t209 (@list @t188) @t201)) % 114.38/114.61 (step @p65 :rule quant-unused-vars :args ((= @t210 @t190))) % 114.38/114.61 (step @p66 :rule quant-unused-vars :args ((= @t211 @t191))) % 114.38/114.61 (step @p67 :rule nary_cong :premises (@p66 @p65 @p64 @p63 @p62) :args (@t212)) % 114.38/114.61 (step @p68 :rule quant-miniscope-and :args ((= @t213 @t212))) % 114.38/114.61 (step @p69 :rule trans :premises (@p68 @p67)) % 114.38/114.61 (step @p70 :rule refl :args (@t146)) % 114.38/114.61 (step @p71 :rule refl :args (@t193)) % 114.38/114.61 (step @p72 :rule nary_cong :premises (@p40 @p71 @p70 @p69 @p61 @p53 @p52) :args (@t214)) % 114.38/114.61 (step @p73 :rule quant-miniscope-or :args ((= @t196 @t214))) % 114.38/114.61 (step @p74 :rule trans :premises (@p73 @p72)) % 114.38/114.61 (step @p75 :rule symm :premises (@p74)) % 114.38/114.61 (step @p76 :rule cong :premises (@p75) :args ((forall @t17 @t224))) % 114.38/114.61 (step @p77 :rule trans :premises (@p76 @p51)) % 114.38/114.61 (step @p78 :rule aci_norm :args ((= (or (or @t148 @t193 @t146 @t223 @t219) (or @t178 @t177)) @t224))) % 114.38/114.61 (step @p79 :rule bool-impl-elim :args (@t73 @t177)) % 114.38/114.61 (step @p80 :rule refl :args (@t179)) % 114.38/114.61 (step @p81 :rule refl :args (@t180)) % 114.38/114.61 (step @p82 :rule bool-double-not-elim :args (@t218)) % 114.38/114.61 (step @p83 :rule refl :args (@t183)) % 114.38/114.61 (step @p84 :rule refl :args (@t184)) % 114.38/114.61 (step @p85 :rule nary_cong :premises (@p84 @p83 @p82 @p81 @p80) :args (@t227)) % 114.38/114.61 (step @p86 :rule aci_norm :args ((= (and @t184 (and @t183 (and @t226 (and @t180 @t179)))) @t227))) % 114.38/114.61 (step @p87 :rule trans :premises (@p86 @p85)) % 114.38/114.61 (step @p88 :rule bool-or-de-morgan :args (@t76 @t75 false)) % 114.38/114.61 (step @p89 :rule refl :args (@t226)) % 114.38/114.61 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((and @t226 (not (or @t76 @t75))))) % 114.38/114.61 (step @p91 :rule bool-or-de-morgan :args (@t225 @t76 (or @t75))) % 114.38/114.61 (step @p92 :rule trans :premises (@p91 @p90)) % 114.38/114.61 (step @p93 :rule nary_cong :premises (@p83 @p92) :args ((and @t183 (not (or @t225 @t76 @t75))))) % 114.38/114.61 (step @p94 :rule bool-or-de-morgan :args (@t40 @t225 (or @t76 @t75))) % 114.38/114.61 (step @p95 :rule trans :premises (@p94 @p93)) % 114.38/114.61 (step @p96 :rule nary_cong :premises (@p84 @p95) :args ((and @t184 (not (or @t40 @t225 @t76 @t75))))) % 114.38/114.61 (step @p97 :rule bool-or-de-morgan :args (@t28 @t40 (or @t225 @t76 @t75))) % 114.38/114.61 (step @p98 :rule trans :premises (@p97 @p96)) % 114.38/114.61 (step @p99 :rule trans :premises (@p98 @p87)) % 114.38/114.61 (step @p100 :rule refl :args (@t186)) % 114.38/114.61 (step @p101 :rule refl :args (@t187)) % 114.38/114.61 (step @p102 :rule bool-double-not-elim :args (@t222)) % 114.38/114.61 (step @p103 :rule refl :args (@t190)) % 114.38/114.61 (step @p104 :rule refl :args (@t191)) % 114.38/114.61 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102 @p101 @p100) :args (@t230)) % 114.38/114.61 (step @p106 :rule aci_norm :args ((= (and @t191 (and @t190 (and @t229 (and @t187 @t186)))) @t230))) % 114.38/114.61 (step @p107 :rule trans :premises (@p106 @p105)) % 114.38/114.61 (step @p108 :rule bool-or-de-morgan :args (@t38 @t82 false)) % 114.38/114.61 (step @p109 :rule refl :args (@t229)) % 114.38/114.61 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((and @t229 (not (or @t38 @t82))))) % 114.38/114.61 (step @p111 :rule bool-or-de-morgan :args (@t228 @t38 (or @t82))) % 114.38/114.61 (step @p112 :rule trans :premises (@p111 @p110)) % 114.38/114.61 (step @p113 :rule nary_cong :premises (@p103 @p112) :args ((and @t190 (not (or @t228 @t38 @t82))))) % 114.38/114.61 (step @p114 :rule bool-or-de-morgan :args (@t43 @t228 (or @t38 @t82))) % 114.38/114.61 (step @p115 :rule trans :premises (@p114 @p113)) % 114.38/114.61 (step @p116 :rule nary_cong :premises (@p104 @p115) :args ((and @t191 (not (or @t43 @t228 @t38 @t82))))) % 114.38/114.61 (step @p117 :rule bool-or-de-morgan :args (@t86 @t43 (or @t228 @t38 @t82))) % 114.38/114.61 (step @p118 :rule trans :premises (@p117 @p116)) % 114.38/114.61 (step @p119 :rule trans :premises (@p118 @p107)) % 114.38/114.61 (step @p120 :rule nary_cong :premises (@p40 @p71 @p70 @p119 @p99) :args (@t235)) % 114.38/114.61 (step @p121 :rule aci_norm :args ((= (or @t148 (or @t193 (or @t146 (or @t234 @t232)))) @t235))) % 114.38/114.61 (step @p122 :rule bool-and-de-morgan :args (@t233 @t231 true)) % 114.38/114.61 (step @p123 :rule nary_cong :premises (@p70 @p122) :args ((or @t146 (not (and @t233 @t231))))) % 114.38/114.61 (step @p124 :rule bool-and-de-morgan :args (@t6 @t233 (and @t231))) % 114.38/114.61 (step @p125 :rule trans :premises (@p124 @p123)) % 114.38/114.61 (step @p126 :rule nary_cong :premises (@p71 @p125) :args ((or @t193 (not (and @t6 @t233 @t231))))) % 114.38/114.61 (step @p127 :rule bool-and-de-morgan :args (@t13 @t6 (and @t233 @t231))) % 114.38/114.61 (step @p128 :rule trans :premises (@p127 @p126)) % 114.38/114.61 (step @p129 :rule nary_cong :premises (@p40 @p128) :args ((or @t148 (not (and @t13 @t6 @t233 @t231))))) % 114.38/114.61 (step @p130 :rule bool-and-de-morgan :args (@t2 @t13 (and @t6 @t233 @t231))) % 114.38/114.61 (step @p131 :rule trans :premises (@p130 @p129)) % 114.38/114.61 (step @p132 :rule trans :premises (@p131 @p121)) % 114.38/114.61 (step @p133 :rule trans :premises (@p132 @p120)) % 114.38/114.61 (step @p134 :rule nary_cong :premises (@p133 @p79) :args ((or (not @t237) @t236))) % 114.38/114.61 (step @p135 :rule trans :premises (@p134 @p78)) % 114.38/114.61 (step @p136 :rule bool-impl-elim :args (@t237 @t236)) % 114.38/114.61 (step @p137 :rule trans :premises (@p136 @p135)) % 114.38/114.61 (step @p138 :rule cong :premises (@p137) :args ((forall @t17 (=> @t237 @t236)))) % 114.38/114.61 (step @p139 :rule trans :premises (@p138 @p77)) % 114.38/114.61 (step @p140 :rule quant-merge-prenex :args ((= (forall @t20 @t238) @t176))) % 114.38/114.61 (step @p141 :rule refl :args (@t152)) % 114.38/114.61 (step @p142 :rule refl :args (@t153)) % 114.38/114.61 (step @p143 :rule alpha_equiv :args (@t240 (@list @t154) @t241)) % 114.38/114.61 (step @p144 :rule quant-unused-vars :args ((= @t242 @t158))) % 114.38/114.61 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t243)) % 114.38/114.61 (step @p146 :rule quant-miniscope-and :args ((= @t244 @t243))) % 114.38/114.61 (step @p147 :rule trans :premises (@p146 @p145)) % 114.38/114.61 (step @p148 :rule nary_cong :premises (@p147 @p142) :args (@t245)) % 114.38/114.61 (step @p149 :rule quant-miniscope-or :args ((= @t246 @t245))) % 114.38/114.61 (step @p150 :rule trans :premises (@p149 @p148)) % 114.38/114.61 (step @p151 :rule quant-unused-vars :args ((= @t247 @t161))) % 114.38/114.61 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t248)) % 114.38/114.61 (step @p153 :rule quant-miniscope-and :args ((= @t249 @t248))) % 114.38/114.61 (step @p154 :rule trans :premises (@p153 @p152)) % 114.38/114.61 (step @p155 :rule refl :args (@t163)) % 114.38/114.61 (step @p156 :rule refl :args (@t164)) % 114.38/114.61 (step @p157 :rule alpha_equiv :args (@t251 (@list @t165) @t241)) % 114.38/114.61 (step @p158 :rule quant-unused-vars :args ((= @t252 @t169))) % 114.38/114.61 (step @p159 :rule nary_cong :premises (@p158 @p157) :args (@t253)) % 114.38/114.61 (step @p160 :rule quant-miniscope-and :args ((= @t254 @t253))) % 114.38/114.61 (step @p161 :rule trans :premises (@p160 @p159)) % 114.38/114.61 (step @p162 :rule nary_cong :premises (@p161 @p156) :args (@t255)) % 114.38/114.61 (step @p163 :rule quant-miniscope-or :args ((= @t256 @t255))) % 114.38/114.61 (step @p164 :rule trans :premises (@p163 @p162)) % 114.38/114.61 (step @p165 :rule quant-unused-vars :args ((= @t257 @t172))) % 114.38/114.61 (step @p166 :rule nary_cong :premises (@p165 @p164) :args (@t258)) % 114.38/114.61 (step @p167 :rule quant-miniscope-and :args ((= @t259 @t258))) % 114.38/114.61 (step @p168 :rule trans :premises (@p167 @p166)) % 114.38/114.61 (step @p169 :rule refl :args (@t145)) % 114.38/114.61 (step @p170 :rule nary_cong :premises (@p169 @p168 @p155 @p154 @p141) :args (@t260)) % 114.38/114.61 (step @p171 :rule quant-miniscope-or :args ((= @t238 @t260))) % 114.38/114.61 (step @p172 :rule trans :premises (@p171 @p170)) % 114.38/114.61 (step @p173 :rule symm :premises (@p172)) % 114.38/114.61 (step @p174 :rule cong :premises (@p173) :args ((forall @t20 (or @t145 (and @t172 (or (and @t169 @t268) @t164)) @t163 (and @t161 (or (and @t158 @t265) @t153)) @t152)))) % 114.38/114.61 (step @p175 :rule trans :premises (@p174 @p140)) % 114.38/114.61 (step @p176 :rule bool-double-not-elim :args (@t265)) % 114.38/114.61 (step @p177 :rule refl :args (@t158)) % 114.38/114.61 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((and @t158 (not @t269)))) % 114.38/114.61 (step @p179 :rule bool-or-de-morgan :args (@t54 @t269 false)) % 114.38/114.61 (step @p180 :rule trans :premises (@p179 @p178)) % 114.38/114.61 (step @p181 :rule nary_cong :premises (@p180 @p142) :args ((or (not @t270) @t153))) % 114.38/114.61 (step @p182 :rule bool-and-de-morgan :args (@t270 @t49 true)) % 114.38/114.61 (step @p183 :rule trans :premises (@p182 @p181)) % 114.38/114.61 (step @p184 :rule refl :args (@t161)) % 114.38/114.61 (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((and @t161 (not @t271)))) % 114.38/114.61 (step @p186 :rule bool-or-de-morgan :args (@t57 @t271 false)) % 114.38/114.61 (step @p187 :rule trans :premises (@p186 @p185)) % 114.38/114.61 (step @p188 :rule bool-double-not-elim :args (@t268)) % 114.38/114.61 (step @p189 :rule refl :args (@t169)) % 114.38/114.61 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((and @t169 (not @t272)))) % 114.38/114.61 (step @p191 :rule bool-or-de-morgan :args (@t64 @t272 false)) % 114.38/114.61 (step @p192 :rule trans :premises (@p191 @p190)) % 114.38/114.61 (step @p193 :rule nary_cong :premises (@p192 @p156) :args ((or (not @t273) @t164))) % 114.38/114.61 (step @p194 :rule bool-and-de-morgan :args (@t273 @t60 true)) % 114.38/114.61 (step @p195 :rule trans :premises (@p194 @p193)) % 114.38/114.61 (step @p196 :rule refl :args (@t172)) % 114.38/114.61 (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((and @t172 (not @t274)))) % 114.38/114.61 (step @p198 :rule bool-or-de-morgan :args (@t67 @t274 false)) % 114.38/114.61 (step @p199 :rule trans :premises (@p198 @p197)) % 114.38/114.61 (step @p200 :rule nary_cong :premises (@p169 @p199 @p155 @p187 @p141) :args (@t279)) % 114.38/114.61 (step @p201 :rule aci_norm :args ((= (or @t145 (or @t278 (or @t163 (or @t276 @t152)))) @t279))) % 114.38/114.61 (step @p202 :rule bool-and-de-morgan :args (@t275 @t48 true)) % 114.38/114.61 (step @p203 :rule nary_cong :premises (@p155 @p202) :args ((or @t163 (not (and @t275 @t48))))) % 114.38/114.61 (step @p204 :rule bool-and-de-morgan :args (@t59 @t275 (and @t48))) % 114.38/114.61 (step @p205 :rule trans :premises (@p204 @p203)) % 114.38/114.61 (step @p206 :rule refl :args (@t278)) % 114.38/114.61 (step @p207 :rule nary_cong 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114.38/114.61 (step @p220 :rule refl :args (@t48)) % 114.38/114.61 (step @p221 :rule refl :args (@t49)) % 114.38/114.61 (step @p222 :rule aci_norm :args ((= (or @t263 (or @t262 @t261)) @t264))) % 114.38/114.61 (step @p223 :rule bool-and-de-morgan :args (@t51 @t50 true)) % 114.38/114.61 (step @p224 :rule refl :args (@t263)) % 114.38/114.61 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or @t263 (not (and @t51 @t50))))) % 114.38/114.61 (step @p226 :rule bool-and-de-morgan :args (@t31 @t51 (and @t50))) % 114.38/114.61 (step @p227 :rule trans :premises (@p226 @p225)) % 114.38/114.61 (step @p228 :rule trans :premises (@p227 @p222)) % 114.38/114.61 (step @p229 :rule cong :premises (@p228) :args (@t283)) % 114.38/114.61 (step @p230 :rule cong :premises (@p229) :args (@t284)) % 114.38/114.61 (step @p231 :rule exists-elim :args ((= @t53 @t284))) % 114.38/114.61 (step @p232 :rule trans :premises (@p231 @p230)) % 114.38/114.61 (step @p233 :rule refl :args (@t54)) % 114.38/114.61 (step @p234 :rule nary_cong :premises (@p233 @p232) :args (@t55)) % 114.38/114.61 (step @p235 :rule nary_cong :premises (@p234 @p221) :args (@t56)) % 114.38/114.61 (step @p236 :rule refl :args (@t57)) % 114.38/114.61 (step @p237 :rule nary_cong :premises (@p236 @p235) :args (@t58)) % 114.38/114.61 (step @p238 :rule refl :args (@t59)) % 114.38/114.61 (step @p239 :rule refl :args (@t60)) % 114.38/114.61 (step @p240 :rule aci_norm :args ((= (or @t263 (or @t266 @t261)) @t267))) % 114.38/114.61 (step @p241 :rule bool-and-de-morgan :args (@t61 @t50 true)) % 114.38/114.61 (step @p242 :rule nary_cong :premises (@p224 @p241) :args ((or @t263 (not (and @t61 @t50))))) % 114.38/114.61 (step @p243 :rule bool-and-de-morgan :args (@t31 @t61 (and @t50))) % 114.38/114.61 (step @p244 :rule trans :premises (@p243 @p242)) % 114.38/114.61 (step @p245 :rule trans :premises (@p244 @p240)) % 114.38/114.61 (step @p246 :rule cong :premises (@p245) :args (@t285)) % 114.38/114.61 (step @p247 :rule cong :premises 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:args (@t81)) % 114.38/114.61 (step @p276 :rule refl :args (@t82)) % 114.38/114.61 (step @p277 :rule refl :args (@t38)) % 114.38/114.61 (step @p278 :rule aci_norm :args ((= (or @t145 (or @t216 @t220)) @t221))) % 114.38/114.61 (step @p279 :rule bool-and-de-morgan :args (@t78 @t83 true)) % 114.38/114.61 (step @p280 :rule nary_cong :premises (@p169 @p279) :args ((or @t145 (not (and @t78 @t83))))) % 114.38/114.61 (step @p281 :rule bool-and-de-morgan :args (@t19 @t78 (and @t83))) % 114.38/114.61 (step @p282 :rule trans :premises (@p281 @p280)) % 114.38/114.61 (step @p283 :rule trans :premises (@p282 @p278)) % 114.38/114.61 (step @p284 :rule cong :premises (@p283) :args (@t289)) % 114.38/114.61 (step @p285 :rule cong :premises (@p284) :args (@t290)) % 114.38/114.61 (step @p286 :rule exists-elim :args ((= @t85 @t290))) % 114.38/114.61 (step @p287 :rule trans :premises (@p286 @p285)) % 114.38/114.61 (step @p288 :rule refl :args (@t43)) % 114.38/114.61 (step @p289 :rule refl :args (@t86)) % 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refl :args (@t297)) % 114.38/114.61 (step @p305 :rule refl :args (@t300)) % 114.38/114.61 (step @p306 :rule eq-symm :args (tptp.xb @t18)) % 114.38/114.61 (step @p307 :rule cong :premises (@p306) :args (@t301)) % 114.38/114.61 (step @p308 :rule nary_cong :premises (@p307 @p305) :args (@t302)) % 114.38/114.61 (step @p309 :rule refl :args (@t145)) % 114.38/114.61 (step @p310 :rule nary_cong :premises (@p309 @p308 @p304 @p303 @p299) :args (@t303)) % 114.38/114.61 (step @p311 :rule cong :premises (@p310) :args (@t304)) % 114.38/114.61 (step @p312 :rule cong :premises (@p311) :args (@t305)) % 114.38/114.61 (step @p313 :rule refl :args (@t307)) % 114.38/114.61 (step @p314 :rule refl :args (@t314)) % 114.38/114.61 (step @p315 :rule refl :args (@t315)) % 114.38/114.61 (step @p316 :rule refl :args (@t316)) % 114.38/114.61 (step @p317 :rule refl :args (@t317)) % 114.38/114.61 (step @p318 :rule refl :args (@t318)) % 114.38/114.61 (step @p319 :rule eq-symm :args (tptp.xu tptp.xb)) % 114.38/114.61 (step @p320 :rule cong :premises (@p319) :args (@t319)) % 114.38/114.61 (step @p321 :rule nary_cong :premises (@p320 @p318 @p317 @p316 @p315) :args (@t320)) % 114.38/114.61 (step @p322 :rule refl :args (@t321)) % 114.38/114.61 (step @p323 :rule refl :args (@t322)) % 114.38/114.61 (step @p324 :rule refl :args (@t323)) % 114.38/114.61 (step @p325 :rule nary_cong :premises (@p324 @p323 @p322 @p321 @p314 @p313 @p312) :args (@t324)) % 114.38/114.61 (step @p326 :rule refl :args (@t195)) % 114.38/114.61 (step @p327 :rule cong :premises (@p326 @p325) :args ((=> @t195 @t324))) % 114.38/114.61 (assume-push @p756 @t195) % 114.38/114.61 (step @p329 :rule instantiate :premises (@p298) :args ((@list tptp.xu tptp.xb tptp.xd tptp.xa tptp.xa))) % 114.38/114.61 (step-pop @p757 :rule scope :premises (@p329)) % 114.38/114.61 (step @p330 :rule process_scope :premises (@p757) :args (@t324)) % 114.38/114.61 (step @p332 :rule eq_resolve :premises (@p330 @p327)) % 114.38/114.61 (step @p333 :rule implies_elim 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@t116) % 114.38/114.61 (assume-push @p761 @t122) % 114.38/114.61 (step @p363 :rule evaluate :args (@t345)) % 114.38/114.61 (step @p364 :rule false_intro :premises (@p353)) % 114.38/114.61 (step @p365 :rule refl :args (tptp.xd)) % 114.38/114.61 (step @p366 :rule refl :args (tptp.xR)) % 114.38/114.61 (step @p367 :rule symm :premises (@p759)) % 114.38/114.61 (step @p368 :rule symm :premises (@p760)) % 114.38/114.61 (step @p369 :rule trans :premises (@p368 @p367)) % 114.38/114.61 (step @p370 :rule cong :premises (@p369 @p366 @p365) :args (@t122)) % 114.38/114.61 (step @p371 :rule true_intro :premises (@p335)) % 114.38/114.61 (step @p372 :rule symm :premises (@p371)) % 114.38/114.61 (step @p373 :rule trans :premises (@p372 @p370 @p364)) % 114.38/114.61 (step @p374 false :rule eq_resolve :premises (@p373 @p363)) % 114.38/114.61 (step-pop @p762 :rule scope :premises (@p374)) % 114.38/114.61 (step-pop @p763 :rule scope :premises (@p762)) % 114.38/114.61 (step-pop @p764 :rule scope :premises 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114.38/114.61 (step @p638 :rule process_scope :premises (@p803) :args (false)) % 114.38/114.61 (assume-push @p804 @t343) % 114.38/114.61 (assume-push @p805 @t408) % 114.38/114.61 (assume-push @p806 @t421) % 114.38/114.61 (step @p645 :rule and_intro :premises (@p353 @p806 @p805)) % 114.38/114.61 (step-pop @p807 :rule scope :premises (@p645)) % 114.38/114.61 (step-pop @p808 :rule scope :premises (@p807)) % 114.38/114.61 (step-pop @p809 :rule scope :premises (@p808)) % 114.38/114.61 (step @p646 :rule process_scope :premises (@p809) :args (@t430)) % 114.38/114.61 (step @p650 :rule implies_elim :premises (@p646)) % 114.38/114.61 (step @p651 :rule resolution :premises (@p650 @p638) :args (true @t430)) % 114.38/114.61 (step @p652 :rule not_and :premises (@p651)) % 114.38/114.61 (step @p653 :rule eq_resolve :premises (@p652 @p627)) % 114.38/114.61 (step @p654 :rule chain_m_resolution :premises (@p653 @p353 @p624 @p617 @p592 @p586) :args (@t425 (@list true false false false true) (@list @t134 @t421 @t420 @t408 @t423))) % 114.38/114.61 (step @p655 :rule refl :args (@t431)) % 114.38/114.61 (step @p656 :rule bool-double-not-elim :args (@t406)) % 114.38/114.61 (step @p657 :rule nary_cong :premises (@p656 @p655) :args ((or (not @t432) @t431))) % 114.38/114.61 (step @p658 :rule refl :args (@t411)) % 114.38/114.61 (step @p659 :rule eq-symm :args (@t407 tptp.xb)) % 114.38/114.61 (step @p660 :rule cong :premises (@p659) :args (@t433)) % 114.38/114.61 (step @p661 :rule nary_cong :premises (@p660 @p658) :args (@t434)) % 114.38/114.61 (step @p662 :rule refl :args (@t412)) % 114.38/114.61 (step @p663 :rule refl :args (@t420)) % 114.38/114.61 (step @p664 :rule eq-symm :args (@t407 tptp.xd)) % 114.38/114.61 (step @p665 :rule cong :premises (@p664) :args (@t435)) % 114.38/114.61 (step @p666 :rule nary_cong :premises (@p665 @p663) :args (@t436)) % 114.38/114.61 (step @p667 :rule refl :args (@t424)) % 114.38/114.61 (step @p668 :rule nary_cong :premises (@p667 @p666 @p662 @p661 @p626) :args (@t437)) % 114.38/114.61 (step @p669 :rule cong :premises (@p668) :args (@t438)) % 114.38/114.61 (step @p670 :rule refl :args (@t432)) % 114.38/114.61 (step @p671 :rule cong :premises (@p670 @p669) :args ((=> @t432 @t438))) % 114.38/114.61 (assume-push @p810 @t432) % 114.38/114.61 (step @p673 :rule skolemize :premises (@p810)) % 114.38/114.61 (step-pop @p811 :rule scope :premises (@p673)) % 114.38/114.61 (step @p674 :rule process_scope :premises (@p811) :args (@t438)) % 114.38/114.61 (step @p676 :rule eq_resolve :premises (@p674 @p671)) % 114.38/114.61 (step @p677 :rule implies_elim :premises (@p676)) % 114.38/114.61 (step @p678 :rule eq_resolve :premises (@p677 @p657)) % 114.38/114.61 (step @p679 :rule chain_m_resolution :premises (@p678 @p654) :args (@t406 @t336 (@list @t425))) % 114.38/114.61 (step @p680 :rule aci_norm :args ((= @t329 @t439))) % 114.38/114.61 (step @p681 :rule cong :premises (@p680) :args (@t330)) % 114.38/114.61 (step @p682 :rule symm :premises (@p681)) % 114.38/114.61 (step @p683 :rule true_intro :premises (@p682)) % 114.38/114.61 (step @p684 :rule eq-symm :args (@t330 @t440)) % 114.38/114.61 (step @p685 :rule trans :premises (@p684 @p683)) % 114.38/114.61 (step @p686 :rule cong :premises (@p682 @p681) :args ((= @t440 @t330))) % 114.38/114.61 (step @p687 :rule trans :premises (@p686 @p685)) % 114.38/114.61 (step @p688 :rule true_elim :premises (@p687)) % 114.38/114.61 (step @p689 :rule quant_var_reordering :args ((= (forall (@list @t18 @t154 @t165) @t439) @t440))) % 114.38/114.61 (step @p690 :rule alpha_equiv :args ((forall (@list @t441 @t443 @t442) (or (not (tptp.aElement0 @t441)) (and (not (= @t441 tptp.xd)) (or (and (not (tptp.aReductOfIn0 @t441 tptp.xd tptp.xR)) (or (not (tptp.aElement0 @t443)) (not (tptp.aReductOfIn0 @t443 tptp.xd tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t443 tptp.xR @t441)))) (not (tptp.sdtmndtplgtdt0 tptp.xd tptp.xR @t441)))) (not (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR @t441)) (and (not (= @t441 tptp.xb)) (or (and (not (tptp.aReductOfIn0 @t441 tptp.xb tptp.xR)) (or (not (tptp.aElement0 @t442)) (not (tptp.aReductOfIn0 @t442 tptp.xb tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t442 tptp.xR @t441)))) (not (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR @t441)))) (not (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR @t441)))) @t444 (@list @t18 @t165 @t154))) % 114.38/114.61 (step @p691 :rule alpha_equiv :args (@t406 (@list @t18 @t154 @t165) @t444)) % 114.38/114.61 (step @p692 :rule trans :premises (@p691 @p690 @p689 @p688)) % 114.38/114.61 (step @p693 :rule equiv_elim1 :premises (@p692)) % 114.38/114.61 (step @p694 :rule chain_m_resolution :premises (@p693 @p679) :args (@t330 @t336 (@list @t406))) % 114.38/114.61 (step @p695 :rule cnf_or_pos :args (@t335)) % 114.38/114.61 (step @p696 :rule reordering :premises (@p695) :args ((or @t322 @t323 @t321 @t331 @t307 @t334 @t314 (not @t335)))) % 114.38/114.61 (step @p697 :rule chain_m_resolution :premises (@p696 @p470 @p581 @p472 @p694 @p585 @p522 @p334) :args (@t314 (@list false false false false false true false) (@list @t71 @t106 @t133 @t330 @t306 @t334 @t335))) % 114.38/114.61 (step @p698 :rule cnf_and_pos :args (@t314 3)) % 114.38/114.61 (step @p699 :rule reordering :premises (@p698) :args ((or @t311 @t445))) % 114.38/114.61 (step @p700 :rule chain_m_resolution :premises (@p699 @p697) :args (@t311 @t336 @t446)) % 114.38/114.61 (step @p701 :rule cnf_and_pos :args (@t314 4)) % 114.38/114.61 (step @p702 :rule reordering :premises (@p701) :args ((or @t309 @t445))) % 114.38/114.61 (step @p703 :rule chain_m_resolution :premises (@p702 @p697) :args (@t309 @t336 @t446)) % 114.38/114.61 (step @p704 :rule bool-double-not-elim :args (@t308)) % 114.38/114.61 (step @p705 :rule nary_cong :premises (@p397 @p396 @p704) :args ((or @t348 @t347 (not @t309)))) % 114.38/114.61 (assume-push @p812 @t109) % 114.38/114.61 (assume-push @p813 @t131) % 114.38/114.61 (assume-push @p814 @t309) % 114.38/114.61 (step @p403 :rule evaluate :args (@t349)) % 114.38/114.61 (step @p404 :rule true_intro :premises (@p395)) % 114.38/114.61 (step @p709 :rule symm :premises (@p813)) % 114.38/114.61 (step @p366 :rule refl :args (tptp.xR)) % 114.38/114.61 (step @p710 :rule refl :args (tptp.xu)) % 114.38/114.61 (step @p711 :rule cong :premises (@p710 @p366 @p709) :args (@t308)) % 114.38/114.61 (step @p712 :rule false_intro :premises (@p814)) % 114.38/114.61 (step @p713 :rule symm :premises (@p712)) % 114.38/114.61 (step @p714 :rule trans :premises (@p713 @p711 @p404)) % 114.38/114.61 (step @p715 false :rule eq_resolve :premises (@p714 @p403)) % 114.38/114.61 (step-pop @p815 :rule scope :premises (@p715)) % 114.38/114.61 (step-pop @p816 :rule scope :premises (@p815)) % 114.38/114.62 (step-pop @p817 :rule scope :premises (@p816)) % 114.38/114.62 (step @p716 :rule process_scope :premises (@p817) :args (false)) % 114.38/114.62 (step @p720 :rule not_and :premises (@p716)) % 114.38/114.62 (step @p721 :rule eq_resolve :premises (@p720 @p705)) % 114.38/114.62 (step @p722 :rule chain_m_resolution :premises (@p721 @p395 @p703) :args (@t347 @t447 (@list @t109 @t308))) % 114.38/114.62 (step @p723 :rule chain_m_resolution :premises (@p465 @p722) :args (@t361 @t375 (@list @t131))) % 114.38/114.62 (step @p724 :rule chain_m_resolution :premises (@p469 @p723) :args (@t123 @t336 (@list @t361))) % 114.38/114.62 (assume-push @p818 @t116) % 114.38/114.62 (assume-push @p819 @t123) % 114.38/114.62 (assume-push @p820 @t123) % 114.38/114.62 (assume-push @p821 @t116) % 114.38/114.62 (step @p729 :rule true_intro :premises (@p819)) % 114.38/114.62 (step @p365 :rule refl :args (tptp.xd)) % 114.38/114.62 (step @p366 :rule refl :args (tptp.xR)) % 114.38/114.62 (step @p730 :rule cong :premises (@p818 @p366 @p365) :args (@t310)) % 114.38/114.62 (step @p731 :rule trans :premises (@p730 @p729)) % 114.38/114.62 (step @p732 :rule true_elim :premises (@p731)) % 114.38/114.62 (step-pop @p822 :rule scope :premises (@p732)) % 114.38/114.62 (step-pop @p823 :rule scope :premises (@p822)) % 114.38/114.62 (step @p733 :rule process_scope :premises (@p823) :args (@t310)) % 114.38/114.62 (step @p736 :rule and_intro :premises (@p819 @p818)) % 114.38/114.62 (step @p737 :rule modus_ponens :premises (@p736 @p733)) % 114.38/114.62 (step-pop @p824 :rule scope :premises (@p737)) % 114.38/114.62 (step-pop @p825 :rule scope :premises (@p824)) % 114.38/114.62 (step @p738 :rule process_scope :premises (@p825) :args (@t310)) % 114.38/114.62 (step @p741 :rule implies_elim :premises (@p738)) % 114.38/114.62 (step @p742 :rule cnf_and_neg :args (@t448)) % 114.38/114.62 (step @p743 :rule resolution :premises (@p742 @p741) :args (true @t448)) % 114.38/114.62 (step @p744 :rule chain_m_resolution :premises (@p743 @p724 @p700) :args (@t342 @t447 (@list @t123 @t310))) % 114.38/114.62 (step @p745 :rule chain_m_resolution :premises (@p447 @p744) :args (@t360 @t375 (@list @t116))) % 114.38/114.62 (step @p746 :rule chain_m_resolution :premises (@p467 @p745) :args (@t110 @t336 (@list @t360))) % 114.38/114.62 (step @p747 :rule cnf_or_pos :args (@t449)) % 114.38/114.62 (step @p748 :rule reordering :premises (@p747) :args ((or @t366 @t323 @t365 @t369 @t321 @t362 @t310 @t450))) % 114.38/114.62 (step @p749 :rule chain_m_resolution :premises (@p748 @p15 @p581 @p471 @p746 @p472 @p724 @p700) :args (@t450 (@list false false false false false false true) (@list @t36 @t106 @t118 @t110 @t133 @t123 @t310))) % 114.38/114.62 (assume-push @p826 @t451) % 114.38/114.62 (step @p751 :rule instantiate :premises (@p50) :args ((@list tptp.xu tptp.xR tptp.xw tptp.xd))) % 114.38/114.62 (step-pop @p827 :rule scope :premises (@p751)) % 114.38/114.62 (step @p752 :rule process_scope :premises (@p827) :args (@t449)) % 114.38/114.62 (step @p754 :rule implies_elim :premises (@p752)) % 114.38/114.62 (step @p755 false :rule chain_m_resolution :premises (@p754 @p749 @p50) :args (false @t428 (@list @t449 @t451))) % 114.38/114.62 ) % 114.38/114.62 % SZS output end Proof % 114.38/114.62 % cvc5 exiting %------------------------------------------------------------------------------