%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC065+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:57:54 AM UTC 2026 % Result : Theorem 15.68s 16.05s % Output : Proof 15.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC065+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:12:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 15.68/16.05 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.68/16.05 --- Run --no-e-matching --full-saturate-quant at 6... % 15.68/16.05 % SZS status Theorem % 15.68/16.05 % SZS output start Proof % 15.68/16.05 ( % 15.68/16.05 (declare-sort $$unsorted 0) % 15.68/16.05 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 15.68/16.05 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 15.68/16.05 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 15.68/16.05 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 15.68/16.05 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 15.68/16.05 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 15.68/16.05 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 15.68/16.05 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 15.68/16.05 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 15.68/16.05 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 15.68/16.05 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 15.68/16.05 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 15.68/16.05 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 15.68/16.05 (declare-const tptp.nil $$unsorted) % 15.68/16.05 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 15.68/16.05 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 15.68/16.05 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 15.68/16.05 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 15.68/16.05 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 15.68/16.05 (declare-const tptp.ssList (-> $$unsorted Bool)) % 15.68/16.05 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 15.68/16.05 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 15.68/16.05 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 15.68/16.05 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 15.68/16.05 (define @t1 () (@var "V" $$unsorted)) % 15.68/16.05 (define @t2 () (@var "U" $$unsorted)) % 15.68/16.05 (define @t3 () (= @t2 @t1)) % 15.68/16.05 (define @t4 () (not @t3)) % 15.68/16.05 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 15.68/16.05 (define @t6 () (tptp.ssItem @t1)) % 15.68/16.05 (define @t7 () (@list @t1)) % 15.68/16.05 (define @t8 () (tptp.ssItem @t2)) % 15.68/16.05 (define @t9 () (@list @t2)) % 15.68/16.05 (define @t10 () (@var "X" $$unsorted)) % 15.68/16.05 (define @t11 () (tptp.cons @t1 @t10)) % 15.68/16.05 (define @t12 () (@var "W" $$unsorted)) % 15.68/16.05 (define @t13 () (tptp.ssList @t10)) % 15.68/16.05 (define @t14 () (@list @t10)) % 15.68/16.05 (define @t15 () (tptp.ssList @t12)) % 15.68/16.05 (define @t16 () (@list @t12)) % 15.68/16.05 (define @t17 () (tptp.ssList @t2)) % 15.68/16.05 (define @t18 () (tptp.cons @t1 tptp.nil)) % 15.68/16.05 (define @t19 () (tptp.app @t1 @t12)) % 15.68/16.05 (define @t20 () (tptp.frontsegP @t2 @t1)) % 15.68/16.05 (define @t21 () (tptp.ssList @t1)) % 15.68/16.05 (define @t22 () (tptp.app @t12 @t1)) % 15.68/16.05 (define @t23 () (tptp.rearsegP @t2 @t1)) % 15.68/16.05 (define @t24 () (tptp.segmentP @t2 @t1)) % 15.68/16.05 (define @t25 () (tptp.leq @t12 @t1)) % 15.68/16.05 (define @t26 () (tptp.leq @t1 @t12)) % 15.68/16.05 (define @t27 () (@var "Z" $$unsorted)) % 15.68/16.05 (define @t28 () (@var "Y" $$unsorted)) % 15.68/16.05 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 15.68/16.05 (define @t30 () (tptp.ssList @t27)) % 15.68/16.05 (define @t31 () (@list @t27)) % 15.68/16.05 (define @t32 () (tptp.ssList @t28)) % 15.68/16.05 (define @t33 () (@list @t28)) % 15.68/16.05 (define @t34 () (tptp.ssItem @t12)) % 15.68/16.05 (define @t35 () (tptp.lt @t1 @t12)) % 15.68/16.05 (define @t36 () (= @t1 @t12)) % 15.68/16.05 (define @t37 () (tptp.equalelemsP @t2)) % 15.68/16.05 (define @t38 () (forall @t7 (=> @t21 @t5))) % 15.68/16.05 (define @t39 () (=> @t17 @t38)) % 15.68/16.05 (define @t40 () (forall @t9 @t39)) % 15.68/16.05 (define @t41 () (tptp.cons @t1 @t2)) % 15.68/16.05 (define @t42 () (tptp.ssList tptp.nil)) % 15.68/16.05 (define @t43 () (= @t1 @t2)) % 15.68/16.05 (define @t44 () (tptp.cons @t12 @t1)) % 15.68/16.05 (define @t45 () (= tptp.nil @t2)) % 15.68/16.05 (define @t46 () (tptp.hd @t2)) % 15.68/16.05 (define @t47 () (not @t45)) % 15.68/16.05 (define @t48 () (tptp.tl @t2)) % 15.68/16.05 (define @t49 () (tptp.app @t2 @t1)) % 15.68/16.05 (define @t50 () (tptp.app @t1 @t2)) % 15.68/16.05 (define @t51 () (tptp.app tptp.nil @t2)) % 15.68/16.05 (define @t52 () (=> @t17 (= @t51 @t2))) % 15.68/16.05 (define @t53 () (forall @t9 @t52)) % 15.68/16.05 (define @t54 () (tptp.leq @t1 @t2)) % 15.68/16.05 (define @t55 () (tptp.leq @t2 @t1)) % 15.68/16.05 (define @t56 () (tptp.geq @t2 @t1)) % 15.68/16.05 (define @t57 () (tptp.lt @t1 @t2)) % 15.68/16.05 (define @t58 () (tptp.lt @t2 @t1)) % 15.68/16.05 (define @t59 () (tptp.lt @t2 @t12)) % 15.68/16.05 (define @t60 () (tptp.gt @t2 @t1)) % 15.68/16.05 (define @t61 () (tptp.memberP @t12 @t2)) % 15.68/16.05 (define @t62 () (tptp.app @t12 @t2)) % 15.68/16.05 (define @t63 () (tptp.segmentP @t2 @t2)) % 15.68/16.05 (define @t64 () (forall @t9 (=> @t17 @t63))) % 15.68/16.05 (define @t65 () (tptp.segmentP (tptp.app @t62 @t10) @t1)) % 15.68/16.05 (define @t66 () (=> @t24 @t65)) % 15.68/16.05 (define @t67 () (forall @t14 (=> @t13 @t66))) % 15.68/16.05 (define @t68 () (=> @t15 @t67)) % 15.68/16.05 (define @t69 () (forall @t16 @t68)) % 15.68/16.05 (define @t70 () (=> @t21 @t69)) % 15.68/16.05 (define @t71 () (forall @t7 @t70)) % 15.68/16.05 (define @t72 () (=> @t17 @t71)) % 15.68/16.05 (define @t73 () (forall @t9 @t72)) % 15.68/16.05 (define @t74 () (tptp.cons @t2 tptp.nil)) % 15.68/16.05 (define @t75 () (tptp.hd @t1)) % 15.68/16.05 (define @t76 () (= tptp.nil @t1)) % 15.68/16.05 (define @t77 () (not @t76)) % 15.68/16.05 (define @t78 () (tptp.cons @t2 @t1)) % 15.68/16.05 (define @t79 () (= @t12 @t2)) % 15.68/16.05 (define @t80 () (and @t76 @t45)) % 15.68/16.05 (define @t81 () (= tptp.nil @t49)) % 15.68/16.05 (define @t82 () (= @t81 @t80)) % 15.68/16.05 (define @t83 () (=> @t21 @t82)) % 15.68/16.05 (define @t84 () (forall @t7 @t83)) % 15.68/16.05 (define @t85 () (=> @t17 @t84)) % 15.68/16.05 (define @t86 () (forall @t9 @t85)) % 15.68/16.05 (define @t87 () (@var "X3" $$unsorted)) % 15.68/16.05 (define @t88 () (tptp.segmentP @t2 @t87)) % 15.68/16.05 (define @t89 () (tptp.segmentP @t1 @t87)) % 15.68/16.05 (define @t90 () (tptp.neq @t87 tptp.nil)) % 15.68/16.05 (define @t91 () (tptp.ssList @t87)) % 15.68/16.05 (define @t92 () (and @t91 @t90 @t89 @t88)) % 15.68/16.05 (define @t93 () (@list @t87)) % 15.68/16.05 (define @t94 () (exists @t93 @t92)) % 15.68/16.05 (define @t95 () (not (tptp.neq @t1 tptp.nil))) % 15.68/16.05 (define @t96 () (or @t95 @t94)) % 15.68/16.05 (define @t97 () (or @t77 @t45)) % 15.68/16.05 (define @t98 () (and @t97 @t96)) % 15.68/16.05 (define @t99 () (not (= tptp.nil @t10))) % 15.68/16.05 (define @t100 () (and @t99 (= tptp.nil @t12))) % 15.68/16.05 (define @t101 () (tptp.cons @t27 tptp.nil)) % 15.68/16.05 (define @t102 () (@var "X2" $$unsorted)) % 15.68/16.05 (define @t103 () (tptp.app @t102 @t101)) % 15.68/16.05 (define @t104 () (tptp.ssList @t102)) % 15.68/16.05 (define @t105 () (and @t104 (= @t103 @t12))) % 15.68/16.05 (define @t106 () (@list @t102)) % 15.68/16.05 (define @t107 () (exists @t106 @t105)) % 15.68/16.05 (define @t108 () (@var "X1" $$unsorted)) % 15.68/16.05 (define @t109 () (tptp.app @t101 @t108)) % 15.68/16.05 (define @t110 () (tptp.ssList @t108)) % 15.68/16.05 (define @t111 () (and @t110 (= @t109 @t28) @t107)) % 15.68/16.05 (define @t112 () (@list @t108)) % 15.68/16.05 (define @t113 () (exists @t112 @t111)) % 15.68/16.05 (define @t114 () (tptp.ssItem @t27)) % 15.68/16.05 (define @t115 () (and @t114 @t113)) % 15.68/16.05 (define @t116 () (exists @t31 @t115)) % 15.68/16.05 (define @t117 () (not (tptp.equalelemsP @t12))) % 15.68/16.05 (define @t118 () (tptp.app @t12 @t28)) % 15.68/16.05 (define @t119 () (not (= @t118 @t10))) % 15.68/16.05 (define @t120 () (or @t119 @t117 @t116)) % 15.68/16.05 (define @t121 () (=> @t32 @t120)) % 15.68/16.05 (define @t122 () (forall @t33 @t121)) % 15.68/16.05 (define @t123 () (not (= @t2 @t12))) % 15.68/16.05 (define @t124 () (not (= @t1 @t10))) % 15.68/16.05 (define @t125 () (or @t124 @t123 @t122 @t100 @t98)) % 15.68/16.05 (define @t126 () (=> @t13 @t125)) % 15.68/16.05 (define @t127 () (forall @t14 @t126)) % 15.68/16.05 (define @t128 () (=> @t15 @t127)) % 15.68/16.05 (define @t129 () (forall @t16 @t128)) % 15.68/16.05 (define @t130 () (=> @t21 @t129)) % 15.68/16.05 (define @t131 () (forall @t7 @t130)) % 15.68/16.05 (define @t132 () (=> @t17 @t131)) % 15.68/16.05 (define @t133 () (forall @t9 @t132)) % 15.68/16.05 (define @t134 () (not @t133)) % 15.68/16.05 (define @t135 () (= @t2 @t51)) % 15.68/16.05 (define @t136 () (@var "BOUND_VARIABLE_11187" $$unsorted)) % 15.68/16.05 (define @t137 () (@var "BOUND_VARIABLE_10996" $$unsorted)) % 15.68/16.05 (define @t138 () (tptp.app @t101 @t137)) % 15.68/16.05 (define @t139 () (not (tptp.ssList @t137))) % 15.68/16.05 (define @t140 () (@var "BOUND_VARIABLE_10988" $$unsorted)) % 15.68/16.05 (define @t141 () (tptp.app @t140 @t101)) % 15.68/16.05 (define @t142 () (not (= @t2 @t141))) % 15.68/16.05 (define @t143 () (not (tptp.ssList @t140))) % 15.68/16.05 (define @t144 () (not @t114)) % 15.68/16.05 (define @t145 () (@list @t27 @t140 @t137)) % 15.68/16.05 (define @t146 () (not (forall @t145 (or @t144 @t143 @t142 @t139 (not (= @t138 @t136)))))) % 15.68/16.05 (define @t147 () (not (tptp.ssList @t136))) % 15.68/16.05 (define @t148 () (= @t2 tptp.nil)) % 15.68/16.05 (define @t149 () (tptp.app @t2 @t136)) % 15.68/16.05 (define @t150 () (not (= tptp.nil @t149))) % 15.68/16.05 (define @t151 () (and @t150 @t148)) % 15.68/16.05 (define @t152 () (not @t88)) % 15.68/16.05 (define @t153 () (not @t90)) % 15.68/16.05 (define @t154 () (not @t91)) % 15.68/16.05 (define @t155 () (and (or @t150 @t148) (or (not (tptp.neq @t149 tptp.nil)) (not (forall @t93 (or @t154 @t153 (not (tptp.segmentP @t149 @t87)) @t152)))))) % 15.68/16.05 (define @t156 () (not (tptp.ssList @t149))) % 15.68/16.05 (define @t157 () (not @t37)) % 15.68/16.05 (define @t158 () (not @t17)) % 15.68/16.05 (define @t159 () (or @t158 @t157 @t156 @t155 @t151 @t147 @t146)) % 15.68/16.05 (define @t160 () (@list @t2 @t136)) % 15.68/16.05 (define @t161 () (forall @t160 @t159)) % 15.68/16.05 (define @t162 () (@quantifiers_skolemize @t161 0)) % 15.68/16.05 (define @t163 () (@list @t162)) % 15.68/16.05 (define @t164 () (or @t156 @t155 @t151 @t147 @t146)) % 15.68/16.05 (define @t165 () (or @t158 @t157 @t164)) % 15.68/16.05 (define @t166 () (forall @t160 @t165)) % 15.68/16.05 (define @t167 () (@list @t136)) % 15.68/16.05 (define @t168 () (forall @t167 @t165)) % 15.68/16.05 (define @t169 () (forall @t167 @t164)) % 15.68/16.05 (define @t170 () (@var "BOUND_VARIABLE_11137" $$unsorted)) % 15.68/16.05 (define @t171 () (@list @t170)) % 15.68/16.05 (define @t172 () (or @t158 @t157 @t169)) % 15.68/16.05 (define @t173 () (not (forall @t145 (or @t144 @t143 @t142 @t139 (not (= @t138 @t170)))))) % 15.68/16.05 (define @t174 () (not (tptp.ssList @t170))) % 15.68/16.05 (define @t175 () (tptp.app @t2 @t170)) % 15.68/16.05 (define @t176 () (not (= tptp.nil @t175))) % 15.68/16.05 (define @t177 () (and @t176 @t148)) % 15.68/16.05 (define @t178 () (or (not (tptp.neq @t175 tptp.nil)) (not (forall @t93 (or @t154 @t153 (not (tptp.segmentP @t175 @t87)) @t152))))) % 15.68/16.05 (define @t179 () (and (or @t176 @t148) @t178)) % 15.68/16.05 (define @t180 () (not (tptp.ssList @t175))) % 15.68/16.05 (define @t181 () (or @t180 @t179 @t177 @t174 @t173)) % 15.68/16.05 (define @t182 () (@list @t170)) % 15.68/16.05 (define @t183 () (or @t158 @t157 (forall @t182 @t181))) % 15.68/16.05 (define @t184 () (not (= @t175 @t175))) % 15.68/16.05 (define @t185 () (not (= @t175 tptp.nil))) % 15.68/16.05 (define @t186 () (and @t185 @t148)) % 15.68/16.05 (define @t187 () (or @t185 @t148)) % 15.68/16.05 (define @t188 () (and @t187 @t178)) % 15.68/16.05 (define @t189 () (or @t180 @t188 @t186 @t174 @t184 @t173)) % 15.68/16.05 (define @t190 () (not (= @t1 @t175))) % 15.68/16.05 (define @t191 () (= @t1 tptp.nil)) % 15.68/16.05 (define @t192 () (not @t191)) % 15.68/16.05 (define @t193 () (and @t192 @t148)) % 15.68/16.05 (define @t194 () (not @t89)) % 15.68/16.05 (define @t195 () (or @t154 @t153 @t194 @t152)) % 15.68/16.05 (define @t196 () (and (or @t192 @t148) (or @t95 (not (forall @t93 @t195))))) % 15.68/16.05 (define @t197 () (not @t21)) % 15.68/16.05 (define @t198 () (or @t190 @t197 @t196 @t193 @t174 @t190 @t173)) % 15.68/16.05 (define @t199 () (or @t197 @t196 @t193 @t174 @t190 @t173)) % 15.68/16.05 (define @t200 () (forall @t7 @t199)) % 15.68/16.05 (define @t201 () (forall @t182 @t200)) % 15.68/16.05 (define @t202 () (forall (@list @t170 @t1) @t199)) % 15.68/16.05 (define @t203 () (@list @t1 @t170)) % 15.68/16.05 (define @t204 () (or @t174 @t190 @t173)) % 15.68/16.05 (define @t205 () (or @t197 @t196 @t193 @t204)) % 15.68/16.05 (define @t206 () (forall @t203 @t205)) % 15.68/16.05 (define @t207 () (forall @t182 @t205)) % 15.68/16.05 (define @t208 () (forall @t182 @t204)) % 15.68/16.05 (define @t209 () (@var "BOUND_VARIABLE_11089" $$unsorted)) % 15.68/16.05 (define @t210 () (@list @t209)) % 15.68/16.05 (define @t211 () (or @t197 @t196 @t193 @t208)) % 15.68/16.05 (define @t212 () (not (= @t138 @t209))) % 15.68/16.05 (define @t213 () (not (forall @t145 (or @t144 @t143 @t142 @t139 @t212)))) % 15.68/16.05 (define @t214 () (not (= @t1 (tptp.app @t2 @t209)))) % 15.68/16.05 (define @t215 () (not (tptp.ssList @t209))) % 15.68/16.05 (define @t216 () (or @t215 @t214 @t213)) % 15.68/16.05 (define @t217 () (@list @t209)) % 15.68/16.05 (define @t218 () (forall @t217 @t216)) % 15.68/16.05 (define @t219 () (or @t197 @t196 @t193 @t218)) % 15.68/16.05 (define @t220 () (forall @t7 @t219)) % 15.68/16.05 (define @t221 () (or @t158 @t157 @t220)) % 15.68/16.05 (define @t222 () (or @t158 @t157 @t219)) % 15.68/16.05 (define @t223 () (or @t197 @t196 @t158 @t157 @t193 @t218)) % 15.68/16.05 (define @t224 () (or @t196 @t197 @t158 @t157 @t193 @t218)) % 15.68/16.05 (define @t225 () (or @t158 @t157 @t193 @t218)) % 15.68/16.05 (define @t226 () (or @t158 @t157 @t193 @t216)) % 15.68/16.05 (define @t227 () (or @t158 @t157 @t193 @t215 @t214 @t213)) % 15.68/16.05 (define @t228 () (not (= @t2 @t2))) % 15.68/16.05 (define @t229 () (or @t158 @t228 @t157 @t193 @t215 @t214 @t213)) % 15.68/16.05 (define @t230 () (not (= @t12 @t141))) % 15.68/16.05 (define @t231 () (not (forall @t145 (or @t144 @t143 @t230 @t139 @t212)))) % 15.68/16.05 (define @t232 () (not (= @t1 (tptp.app @t12 @t209)))) % 15.68/16.05 (define @t233 () (= @t12 tptp.nil)) % 15.68/16.05 (define @t234 () (and @t192 @t233)) % 15.68/16.05 (define @t235 () (not @t15)) % 15.68/16.05 (define @t236 () (or @t123 @t235 @t123 @t117 @t234 @t215 @t232 @t231)) % 15.68/16.05 (define @t237 () (or @t235 @t123 @t117 @t234 @t215 @t232 @t231)) % 15.68/16.05 (define @t238 () (forall @t16 @t237)) % 15.68/16.05 (define @t239 () (forall @t217 @t238)) % 15.68/16.05 (define @t240 () (forall (@list @t209 @t12) @t237)) % 15.68/16.05 (define @t241 () (@list @t12 @t209)) % 15.68/16.05 (define @t242 () (or @t215 @t232 @t231)) % 15.68/16.05 (define @t243 () (or @t235 @t123 @t117 @t234 @t242)) % 15.68/16.05 (define @t244 () (forall @t241 @t243)) % 15.68/16.05 (define @t245 () (forall @t217 @t243)) % 15.68/16.05 (define @t246 () (forall @t217 @t242)) % 15.68/16.05 (define @t247 () (@var "BOUND_VARIABLE_11044" $$unsorted)) % 15.68/16.05 (define @t248 () (@list @t247)) % 15.68/16.05 (define @t249 () (or @t235 @t123 @t117 @t234 @t246)) % 15.68/16.05 (define @t250 () (not (forall @t145 (or @t144 @t143 @t230 @t139 (not (= @t138 @t247)))))) % 15.68/16.05 (define @t251 () (tptp.app @t12 @t247)) % 15.68/16.05 (define @t252 () (not (= @t1 @t251))) % 15.68/16.05 (define @t253 () (not (tptp.ssList @t247))) % 15.68/16.05 (define @t254 () (or @t253 @t252 @t250)) % 15.68/16.05 (define @t255 () (@list @t247)) % 15.68/16.05 (define @t256 () (forall @t255 @t254)) % 15.68/16.05 (define @t257 () (or @t235 @t123 @t117 @t234 @t256)) % 15.68/16.05 (define @t258 () (forall @t16 @t257)) % 15.68/16.05 (define @t259 () (or @t196 @t197 @t258)) % 15.68/16.05 (define @t260 () (or @t196 @t197 @t257)) % 15.68/16.05 (define @t261 () (or @t235 @t123 @t196 @t117 @t197 @t234 @t256)) % 15.68/16.05 (define @t262 () (or @t123 @t196 @t117 @t197 @t234 @t256)) % 15.68/16.05 (define @t263 () (or @t197 @t234 @t256)) % 15.68/16.05 (define @t264 () (or @t197 @t234 @t254)) % 15.68/16.05 (define @t265 () (or @t197 @t234 @t253 @t252 @t250)) % 15.68/16.05 (define @t266 () (not (= @t1 @t1))) % 15.68/16.05 (define @t267 () (or @t197 @t266 @t234 @t253 @t252 @t250)) % 15.68/16.05 (define @t268 () (not (= @t10 @t251))) % 15.68/16.05 (define @t269 () (and (not (= @t10 tptp.nil)) @t233)) % 15.68/16.05 (define @t270 () (not @t13)) % 15.68/16.05 (define @t271 () (or @t124 @t270 @t124 @t269 @t253 @t268 @t250)) % 15.68/16.05 (define @t272 () (or @t270 @t124 @t269 @t253 @t268 @t250)) % 15.68/16.05 (define @t273 () (forall @t14 @t272)) % 15.68/16.05 (define @t274 () (forall @t255 @t273)) % 15.68/16.05 (define @t275 () (forall (@list @t247 @t10) @t272)) % 15.68/16.05 (define @t276 () (@list @t10 @t247)) % 15.68/16.05 (define @t277 () (not (= @t247 @t138))) % 15.68/16.05 (define @t278 () (or @t144 @t143 @t230 @t139 @t277)) % 15.68/16.05 (define @t279 () (forall @t145 @t278)) % 15.68/16.05 (define @t280 () (not @t279)) % 15.68/16.05 (define @t281 () (or @t270 @t124 @t269 @t253 @t268 @t280)) % 15.68/16.05 (define @t282 () (or @t253 @t268 @t280)) % 15.68/16.05 (define @t283 () (or @t270 @t124 @t269 @t282)) % 15.68/16.05 (define @t284 () (forall @t276 @t283)) % 15.68/16.05 (define @t285 () (forall @t255 @t283)) % 15.68/16.05 (define @t286 () (forall @t255 @t282)) % 15.68/16.05 (define @t287 () (or @t270 @t124 @t269 @t286)) % 15.68/16.05 (define @t288 () (not (= @t28 @t138))) % 15.68/16.05 (define @t289 () (or @t144 @t143 @t230 @t139 @t288)) % 15.68/16.05 (define @t290 () (not (forall @t145 @t289))) % 15.68/16.05 (define @t291 () (not (= @t10 @t118))) % 15.68/16.05 (define @t292 () (not @t32)) % 15.68/16.05 (define @t293 () (or @t292 @t291 @t290)) % 15.68/16.05 (define @t294 () (forall @t33 @t293)) % 15.68/16.05 (define @t295 () (or @t270 @t124 @t269 @t294)) % 15.68/16.05 (define @t296 () (forall @t14 @t295)) % 15.68/16.05 (define @t297 () (or @t123 @t196 @t117 @t296)) % 15.68/16.05 (define @t298 () (or @t123 @t196 @t117 @t295)) % 15.68/16.05 (define @t299 () (or @t270 @t124 @t123 @t269 @t196 @t117 @t294)) % 15.68/16.05 (define @t300 () (or @t124 @t123 @t269 @t196 @t117 @t294)) % 15.68/16.05 (define @t301 () (or @t117 @t294)) % 15.68/16.05 (define @t302 () (forall @t93 (not @t92))) % 15.68/16.05 (define @t303 () (not @t302)) % 15.68/16.05 (define @t304 () (or @t117 @t293)) % 15.68/16.05 (define @t305 () (or @t292 @t291 @t117 @t290)) % 15.68/16.05 (define @t306 () (or @t291 @t117 @t290)) % 15.68/16.05 (define @t307 () (or @t139 @t288)) % 15.68/16.05 (define @t308 () (or @t143 @t230)) % 15.68/16.05 (define @t309 () (or @t144 @t308 @t307)) % 15.68/16.05 (define @t310 () (forall @t145 @t309)) % 15.68/16.05 (define @t311 () (forall (@list @t140 @t137) @t309)) % 15.68/16.05 (define @t312 () (forall (@list @t137) @t307)) % 15.68/16.05 (define @t313 () (forall (@list @t140) @t308)) % 15.68/16.05 (define @t314 () (or @t144 @t313 @t312)) % 15.68/16.05 (define @t315 () (= @t28 @t109)) % 15.68/16.05 (define @t316 () (not @t315)) % 15.68/16.05 (define @t317 () (not @t110)) % 15.68/16.05 (define @t318 () (or @t317 @t316)) % 15.68/16.05 (define @t319 () (forall @t112 @t318)) % 15.68/16.05 (define @t320 () (= @t12 @t103)) % 15.68/16.05 (define @t321 () (forall @t106 (or (not @t104) (not @t320)))) % 15.68/16.05 (define @t322 () (or @t144 @t321 @t319)) % 15.68/16.05 (define @t323 () (or @t321 @t319)) % 15.68/16.05 (define @t324 () (not @t323)) % 15.68/16.05 (define @t325 () (and @t114 @t324)) % 15.68/16.05 (define @t326 () (forall @t31 (not @t325))) % 15.68/16.05 (define @t327 () (not @t326)) % 15.68/16.05 (define @t328 () (or @t321 @t318)) % 15.68/16.05 (define @t329 () (or @t317 @t316 @t321)) % 15.68/16.05 (define @t330 () (not @t321)) % 15.68/16.05 (define @t331 () (not @t330)) % 15.86/16.05 (define @t332 () (or @t317 @t316 @t331)) % 15.86/16.05 (define @t333 () (and @t110 @t315 @t330)) % 15.86/16.05 (define @t334 () (forall @t112 (not @t333))) % 15.86/16.05 (define @t335 () (not @t334)) % 15.86/16.05 (define @t336 () (and @t104 @t320)) % 15.86/16.05 (define @t337 () (forall @t106 (not @t336))) % 15.86/16.05 (define @t338 () (not @t337)) % 15.86/16.05 (define @t339 () (@quantifiers_skolemize @t161 1)) % 15.86/16.05 (define @t340 () (not (= @t138 @t339))) % 15.86/16.05 (define @t341 () (tptp.ssList @t339)) % 15.86/16.05 (define @t342 () (not @t341)) % 15.86/16.05 (define @t343 () (= tptp.nil @t162)) % 15.86/16.05 (define @t344 () (tptp.app @t162 @t339)) % 15.86/16.05 (define @t345 () (= tptp.nil @t344)) % 15.86/16.05 (define @t346 () (not @t345)) % 15.86/16.05 (define @t347 () (and @t346 @t343)) % 15.86/16.05 (define @t348 () (forall @t93 (or @t154 @t153 (not (tptp.segmentP @t344 @t87)) (not (tptp.segmentP @t162 @t87))))) % 15.86/16.05 (define @t349 () (not @t348)) % 15.86/16.05 (define @t350 () (tptp.neq @t344 tptp.nil)) % 15.86/16.05 (define @t351 () (not @t350)) % 15.86/16.05 (define @t352 () (or @t351 @t349)) % 15.86/16.05 (define @t353 () (or @t346 @t343)) % 15.86/16.05 (define @t354 () (and @t353 @t352)) % 15.86/16.05 (define @t355 () (not (tptp.ssList @t344))) % 15.86/16.05 (define @t356 () (not (tptp.equalelemsP @t162))) % 15.86/16.05 (define @t357 () (tptp.ssList @t162)) % 15.86/16.05 (define @t358 () (not @t357)) % 15.86/16.05 (define @t359 () (or @t358 @t356 @t355 @t354 @t347 @t342 (not (forall @t145 (or @t144 @t143 (not (= @t141 @t162)) @t139 @t340))))) % 15.86/16.05 (define @t360 () (not @t359)) % 15.86/16.05 (define @t361 () (not @t161)) % 15.86/16.05 (define @t362 () (not (= @t162 @t141))) % 15.86/16.05 (define @t363 () (or @t144 @t143 @t362 @t139 @t340)) % 15.86/16.05 (define @t364 () (forall @t145 @t363)) % 15.86/16.05 (define @t365 () (not @t364)) % 15.86/16.05 (define @t366 () (= @t162 tptp.nil)) % 15.86/16.05 (define @t367 () (and @t346 @t366)) % 15.86/16.05 (define @t368 () (or @t346 @t366)) % 15.86/16.05 (define @t369 () (and @t368 @t352)) % 15.86/16.05 (define @t370 () (or @t358 @t356 @t355 @t369 @t367 @t342 @t365)) % 15.86/16.05 (define @t371 () (not @t370)) % 15.86/16.05 (define @t372 () (@list true)) % 15.86/16.05 (define @t373 () (@list @t359)) % 15.86/16.05 (define @t374 () (tptp.app tptp.nil @t162)) % 15.86/16.05 (define @t375 () (= @t162 @t374)) % 15.86/16.05 (define @t376 () (or @t358 @t375)) % 15.86/16.05 (define @t377 () (@list false false)) % 15.86/16.05 (define @t378 () (@var "BOUND_VARIABLE_10623" $$unsorted)) % 15.86/16.05 (define @t379 () (and (= @t378 tptp.nil) @t148)) % 15.86/16.05 (define @t380 () (= tptp.nil (tptp.app @t2 @t378))) % 15.86/16.05 (define @t381 () (= @t380 @t379)) % 15.86/16.05 (define @t382 () (not (tptp.ssList @t378))) % 15.86/16.05 (define @t383 () (or @t158 @t382 @t381)) % 15.86/16.05 (define @t384 () (or @t382 @t381)) % 15.86/16.05 (define @t385 () (or @t158 @t384)) % 15.86/16.05 (define @t386 () (@list @t2 @t378)) % 15.86/16.05 (define @t387 () (forall @t386 @t385)) % 15.86/16.05 (define @t388 () (@list @t378)) % 15.86/16.05 (define @t389 () (forall @t388 @t385)) % 15.86/16.05 (define @t390 () (forall @t388 @t384)) % 15.86/16.05 (define @t391 () (@list @t1)) % 15.86/16.05 (define @t392 () (or @t158 @t390)) % 15.86/16.05 (define @t393 () (= @t81 (and @t191 @t148))) % 15.86/16.05 (define @t394 () (forall @t7 (or @t197 @t393))) % 15.86/16.05 (define @t395 () (= tptp.nil @t339)) % 15.86/16.05 (define @t396 () (and @t395 @t366)) % 15.86/16.05 (define @t397 () (= @t345 @t396)) % 15.86/16.05 (define @t398 () (or @t358 @t342 @t397)) % 15.86/16.05 (define @t399 () (forall @t386 (or @t158 @t382 (= @t380 (and (= tptp.nil @t378) @t148))))) % 15.86/16.05 (define @t400 () (and @t395 @t343)) % 15.86/16.05 (define @t401 () (= @t345 @t400)) % 15.86/16.05 (define @t402 () (or @t358 @t342 @t401)) % 15.86/16.05 (define @t403 () (@list false)) % 15.86/16.05 (define @t404 () (@list false false false)) % 15.86/16.05 (define @t405 () (@var "BOUND_VARIABLE_9130" $$unsorted)) % 15.86/16.05 (define @t406 () (= (tptp.neq @t2 @t405) (not (= @t2 @t405)))) % 15.86/16.05 (define @t407 () (not (tptp.ssList @t405))) % 15.86/16.05 (define @t408 () (or @t158 @t407 @t406)) % 15.86/16.05 (define @t409 () (or @t407 @t406)) % 15.86/16.05 (define @t410 () (or @t158 @t409)) % 15.86/16.05 (define @t411 () (@list @t2 @t405)) % 15.86/16.05 (define @t412 () (forall @t411 @t410)) % 15.86/16.05 (define @t413 () (@list @t405)) % 15.86/16.05 (define @t414 () (forall @t413 @t410)) % 15.86/16.05 (define @t415 () (forall @t413 @t409)) % 15.86/16.05 (define @t416 () (or @t158 @t415)) % 15.86/16.05 (define @t417 () (forall @t7 (or @t197 @t5))) % 15.86/16.05 (define @t418 () (tptp.neq tptp.nil tptp.nil)) % 15.86/16.05 (define @t419 () (not (= tptp.nil tptp.nil))) % 15.86/16.05 (define @t420 () (= @t418 @t419)) % 15.86/16.05 (define @t421 () (not @t42)) % 15.86/16.05 (define @t422 () (or @t421 @t421 @t420)) % 15.86/16.05 (define @t423 () (forall @t411 @t408)) % 15.86/16.05 (define @t424 () (not @t418)) % 15.86/16.05 (define @t425 () (or @t421 @t421 @t424)) % 15.86/16.05 (define @t426 () (@list @t423)) % 15.86/16.05 (define @t427 () (and @t345 @t424)) % 15.86/16.05 (define @t428 () (not @t346)) % 15.86/16.05 (define @t429 () (@list true false)) % 15.86/16.05 (define @t430 () (tptp.segmentP @t162 @t162)) % 15.86/16.05 (define @t431 () (not @t430)) % 15.86/16.05 (define @t432 () (tptp.segmentP @t344 @t162)) % 15.86/16.05 (define @t433 () (not @t432)) % 15.86/16.05 (define @t434 () (tptp.neq @t162 tptp.nil)) % 15.86/16.05 (define @t435 () (not @t434)) % 15.86/16.05 (define @t436 () (or @t358 @t435 @t433 @t431)) % 15.86/16.05 (define @t437 () (or @t358 @t430)) % 15.86/16.05 (define @t438 () (not @t343)) % 15.86/16.05 (define @t439 () (not @t366)) % 15.86/16.05 (define @t440 () (= @t434 @t439)) % 15.86/16.05 (define @t441 () (or @t358 @t421 @t440)) % 15.86/16.05 (define @t442 () (= @t438 @t434)) % 15.86/16.05 (define @t443 () (or @t358 @t421 @t442)) % 15.86/16.05 (define @t444 () (not @t442)) % 15.86/16.05 (define @t445 () (@var "BOUND_VARIABLE_10229" $$unsorted)) % 15.86/16.05 (define @t446 () (@var "BOUND_VARIABLE_10233" $$unsorted)) % 15.86/16.05 (define @t447 () (@var "BOUND_VARIABLE_10231" $$unsorted)) % 15.86/16.05 (define @t448 () (tptp.segmentP (tptp.app (tptp.app @t447 @t2) @t446) @t445)) % 15.86/16.05 (define @t449 () (not (tptp.ssList @t446))) % 15.86/16.05 (define @t450 () (not (tptp.ssList @t447))) % 15.86/16.05 (define @t451 () (not (tptp.segmentP @t2 @t445))) % 15.86/16.05 (define @t452 () (not (tptp.ssList @t445))) % 15.86/16.05 (define @t453 () (or @t452 @t451 @t450 @t449 @t448)) % 15.86/16.05 (define @t454 () (or @t158 @t453)) % 15.86/16.05 (define @t455 () (forall (@list @t2 @t445 @t447 @t446) @t454)) % 15.86/16.05 (define @t456 () (@list @t445 @t447 @t446)) % 15.86/16.05 (define @t457 () (forall @t456 @t454)) % 15.86/16.05 (define @t458 () (forall @t456 @t453)) % 15.86/16.05 (define @t459 () (@var "BOUND_VARIABLE_10210" $$unsorted)) % 15.86/16.05 (define @t460 () (@var "BOUND_VARIABLE_10208" $$unsorted)) % 15.86/16.05 (define @t461 () (or @t158 @t458)) % 15.86/16.05 (define @t462 () (tptp.segmentP (tptp.app (tptp.app @t460 @t2) @t459) @t1)) % 15.86/16.05 (define @t463 () (not (tptp.ssList @t459))) % 15.86/16.05 (define @t464 () (not (tptp.ssList @t460))) % 15.86/16.05 (define @t465 () (not @t24)) % 15.86/16.05 (define @t466 () (or @t197 @t465 @t464 @t463 @t462)) % 15.86/16.05 (define @t467 () (@list @t1 @t460 @t459)) % 15.86/16.05 (define @t468 () (forall @t467 @t466)) % 15.86/16.05 (define @t469 () (or @t464 @t463 @t462)) % 15.86/16.05 (define @t470 () (or @t197 @t465 @t469)) % 15.86/16.05 (define @t471 () (forall @t467 @t470)) % 15.86/16.05 (define @t472 () (@list @t460 @t459)) % 15.86/16.05 (define @t473 () (forall @t472 @t470)) % 15.86/16.05 (define @t474 () (forall @t472 @t469)) % 15.86/16.05 (define @t475 () (@var "BOUND_VARIABLE_10191" $$unsorted)) % 15.86/16.05 (define @t476 () (or @t197 @t465 @t474)) % 15.86/16.05 (define @t477 () (tptp.segmentP (tptp.app @t62 @t475) @t1)) % 15.86/16.05 (define @t478 () (not (tptp.ssList @t475))) % 15.86/16.05 (define @t479 () (or @t235 @t478 @t477)) % 15.86/16.05 (define @t480 () (@list @t12 @t475)) % 15.86/16.05 (define @t481 () (forall @t480 @t479)) % 15.86/16.05 (define @t482 () (or @t197 @t465 @t481)) % 15.86/16.05 (define @t483 () (or @t465 @t481)) % 15.86/16.05 (define @t484 () (or @t478 @t477)) % 15.86/16.05 (define @t485 () (or @t235 @t484)) % 15.86/16.05 (define @t486 () (forall @t480 @t485)) % 15.86/16.05 (define @t487 () (@list @t475)) % 15.86/16.05 (define @t488 () (forall @t487 @t485)) % 15.86/16.05 (define @t489 () (forall @t487 @t484)) % 15.86/16.05 (define @t490 () (or @t235 @t489)) % 15.86/16.05 (define @t491 () (or @t270 @t65)) % 15.86/16.05 (define @t492 () (forall @t14 @t491)) % 15.86/16.05 (define @t493 () (or @t235 @t492)) % 15.86/16.05 (define @t494 () (forall @t16 @t493)) % 15.86/16.05 (define @t495 () (or @t465 @t494)) % 15.86/16.05 (define @t496 () (or @t465 @t493)) % 15.86/16.05 (define @t497 () (or @t235 @t465 @t492)) % 15.86/16.05 (define @t498 () (or @t465 @t492)) % 15.86/16.05 (define @t499 () (or @t465 @t491)) % 15.86/16.05 (define @t500 () (or @t270 @t465 @t65)) % 15.86/16.05 (define @t501 () (tptp.segmentP (tptp.app @t374 @t339) @t162)) % 15.86/16.05 (define @t502 () (or @t358 @t358 @t431 @t421 @t342 @t501)) % 15.86/16.05 (define @t503 () (not @t501)) % 15.86/16.05 (define @t504 () (not @t375)) % 15.86/16.05 (define @t505 () (and @t501 @t375 @t433)) % 15.86/16.05 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 15.86/16.05 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 15.86/16.05 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 15.86/16.05 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 15.86/16.05 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 15.86/16.05 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 15.86/16.05 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 15.86/16.05 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 15.86/16.05 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 15.86/16.05 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 15.86/16.05 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 15.86/16.05 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 15.86/16.05 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 15.86/16.05 (assume @p14 (forall @t9 (=> @t17 (= @t37 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 15.86/16.05 (assume @p15 @t40) % 15.86/16.05 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t41)))))) % 15.86/16.05 (assume @p17 @t42) % 15.86/16.05 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t41 @t2))))))) % 15.86/16.05 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t43))))))))))) % 15.86/16.05 (assume @p20 (forall @t9 (=> @t17 (or @t45 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t44 @t2))))))))) % 15.86/16.05 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t41))))))) % 15.86/16.05 (assume @p22 (forall @t9 (=> @t17 (=> @t47 (tptp.ssItem @t46))))) % 15.86/16.05 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t41) @t1)))))) % 15.86/16.05 (assume @p24 (forall @t9 (=> @t17 (=> @t47 (tptp.ssList @t48))))) % 15.86/16.05 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t41) @t2)))))) % 15.86/16.05 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t49)))))) % 15.86/16.05 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t50) (tptp.app @t44 @t2))))))))) % 15.86/16.05 (assume @p28 @t53) % 15.86/16.05 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t55 @t54) @t3)))))) % 15.86/16.05 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t26) (tptp.leq @t2 @t12))))))))) % 15.86/16.05 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 15.86/16.05 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t56 @t54)))))) % 15.86/16.05 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t58 (not @t57))))))) % 15.86/16.05 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t58 @t35) @t59)))))))) % 15.86/16.05 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t60 @t57)))))) % 15.86/16.05 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t61))))))))) % 15.86/16.05 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t61))))))))) % 15.86/16.05 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 15.86/16.05 (assume @p39 (not (tptp.singletonP tptp.nil))) % 15.86/16.05 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 15.86/16.05 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 15.86/16.05 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 15.86/16.05 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 15.86/16.05 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 15.86/16.05 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 15.86/16.05 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t45)))) % 15.86/16.05 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 15.86/16.05 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 15.86/16.05 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 15.86/16.05 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t62 @t1))))))))) % 15.86/16.05 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 15.86/16.05 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t45)))) % 15.86/16.05 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 15.86/16.05 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 15.86/16.05 (assume @p55 @t64) % 15.86/16.05 (assume @p56 @t73) % 15.86/16.05 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 15.86/16.05 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t45)))) % 15.86/16.05 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t74)))) % 15.86/16.05 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 15.86/16.05 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t74)))) % 15.86/16.05 (assume @p62 (tptp.totalorderP tptp.nil)) % 15.86/16.05 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t74)))) % 15.86/16.05 (assume @p64 (tptp.strictorderP tptp.nil)) % 15.86/16.05 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t74)))) % 15.86/16.05 (assume @p66 (tptp.totalorderedP tptp.nil)) % 15.86/16.05 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t78) (or @t76 (and @t77 (tptp.totalorderedP @t1) (tptp.leq @t2 @t75))))))))) % 15.86/16.05 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t74)))) % 15.86/16.05 (assume @p69 (tptp.strictorderedP tptp.nil)) % 15.86/16.05 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t78) (or @t76 (and @t77 (tptp.strictorderedP @t1) (tptp.lt @t2 @t75))))))))) % 15.86/16.05 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t74)))) % 15.86/16.05 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 15.86/16.05 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t74)))) % 15.86/16.05 (assume @p74 (tptp.equalelemsP tptp.nil)) % 15.86/16.05 (assume @p75 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t6 (= @t46 @t1))))))) % 15.86/16.05 (assume @p76 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t21 (= @t48 @t1))))))) % 15.86/16.05 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t77 @t47 (= @t75 @t46) (= (tptp.tl @t1) @t48)) @t43)))))) % 15.86/16.05 (assume @p78 (forall @t9 (=> @t17 (=> @t47 (= (tptp.cons @t46 @t48) @t2))))) % 15.86/16.05 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t49) @t79)))))))) % 15.86/16.05 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t50) @t79)))))))) % 15.86/16.05 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t41 (tptp.app @t18 @t2))))))) % 15.86/16.05 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t49 @t12) (tptp.app @t2 @t19))))))))) % 15.86/16.05 (assume @p83 @t86) % 15.86/16.05 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 15.86/16.05 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.hd @t49) @t46))))))) % 15.86/16.05 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.tl @t49) (tptp.app @t48 @t1)))))))) % 15.86/16.05 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t56 (tptp.geq @t1 @t2)) @t3)))))) % 15.86/16.05 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 15.86/16.05 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 15.86/16.05 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 15.86/16.05 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t35) @t59)))))))) % 15.86/16.05 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (or @t3 @t58))))))) % 15.86/16.05 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t58 (and @t4 @t55))))))) % 15.86/16.05 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t60 (not (tptp.gt @t1 @t2)))))))) % 15.86/16.05 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t60 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 15.86/16.05 (assume @p96 @t134) % 15.86/16.05 (assume @p97 true) % 15.86/16.05 (step @p98 :rule bool-impl-elim :args (@t17 @t135)) % 15.86/16.05 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t135)))) % 15.86/16.05 (step @p100 :rule eq-symm :args (@t51 @t2)) % 15.86/16.05 (step @p101 :rule refl :args (@t17)) % 15.86/16.05 (step @p102 :rule cong :premises (@p101 @p100) :args (@t52)) % 15.86/16.05 (step @p103 :rule cong :premises (@p102) :args (@t53)) % 15.86/16.05 (step @p104 :rule trans :premises (@p103 @p99)) % 15.86/16.05 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 15.86/16.05 (step @p106 :rule instantiate :premises (@p105) :args (@t163)) % 15.86/16.05 (step @p107 :rule aci_norm :args ((= @t165 @t159))) % 15.86/16.05 (step @p108 :rule cong :premises (@p107) :args (@t166)) % 15.86/16.05 (step @p109 :rule quant-merge-prenex :args ((= (forall @t9 @t168) @t166))) % 15.86/16.05 (step @p110 :rule alpha_equiv :args (@t169 (@list @t136) @t171)) % 15.86/16.05 (step @p111 :rule refl :args (@t157)) % 15.86/16.05 (step @p112 :rule refl :args (@t158)) % 15.86/16.05 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args (@t172)) % 15.86/16.05 (step @p114 :rule quant-miniscope-or :args ((= @t168 @t172))) % 15.86/16.05 (step @p115 :rule trans :premises (@p114 @p113)) % 15.86/16.05 (step @p116 :rule symm :premises (@p115)) % 15.86/16.05 (step @p117 :rule cong :premises (@p116) :args ((forall @t9 @t183))) % 15.86/16.05 (step @p118 :rule trans :premises (@p117 @p109)) % 15.86/16.05 (step @p119 :rule trans :premises (@p118 @p108)) % 15.86/16.05 (step @p120 :rule aci_norm :args ((= (or @t158 @t183) @t183))) % 15.86/16.05 (step @p121 :rule bool-impl-elim :args (@t17 @t183)) % 15.86/16.05 (step @p122 :rule trans :premises (@p121 @p120)) % 15.86/16.05 (step @p123 :rule cong :premises (@p122) :args ((forall @t9 (=> @t17 @t183)))) % 15.86/16.05 (step @p124 :rule trans :premises (@p123 @p119)) % 15.86/16.05 (step @p125 :rule aci_norm :args ((= (or @t180 @t179 @t177 @t174 false @t173) @t181))) % 15.86/16.05 (step @p126 :rule refl :args (@t173)) % 15.86/16.05 (step @p127 :rule evaluate :args ((not true))) % 15.86/16.05 (step @p128 :rule eq-refl :args (@t175)) % 15.86/16.05 (step @p129 :rule cong :premises (@p128) :args (@t184)) % 15.86/16.05 (step @p130 :rule trans :premises (@p129 @p127)) % 15.86/16.05 (step @p131 :rule refl :args (@t174)) % 15.86/16.05 (step @p132 :rule refl :args (@t148)) % 15.86/16.05 (step @p133 :rule eq-symm :args (@t175 tptp.nil)) % 15.86/16.05 (step @p134 :rule cong :premises (@p133) :args (@t185)) % 15.86/16.05 (step @p135 :rule nary_cong :premises (@p134 @p132) :args (@t186)) % 15.86/16.05 (step @p136 :rule refl :args (@t178)) % 15.86/16.05 (step @p137 :rule nary_cong :premises (@p134 @p132) :args (@t187)) % 15.86/16.05 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t188)) % 15.86/16.05 (step @p139 :rule refl :args (@t180)) % 15.86/16.05 (step @p140 :rule nary_cong :premises (@p139 @p138 @p135 @p131 @p130 @p126) :args (@t189)) % 15.86/16.05 (step @p141 :rule trans :premises (@p140 @p125)) % 15.86/16.05 (step @p142 :rule cong :premises (@p141) :args ((forall @t182 @t189))) % 15.86/16.05 (step @p143 :rule quant-var-elim-eq :args ((= (forall @t7 @t198) @t189))) % 15.86/16.05 (step @p144 :rule aci_norm :args ((= @t199 @t198))) % 15.86/16.05 (step @p145 :rule cong :premises (@p144) :args (@t200)) % 15.86/16.05 (step @p146 :rule trans :premises (@p145 @p143)) % 15.86/16.05 (step @p147 :rule cong :premises (@p146) :args (@t201)) % 15.86/16.05 (step @p148 :rule quant-merge-prenex :args ((= @t201 @t202))) % 15.86/16.05 (step @p149 :rule symm :premises (@p148)) % 15.86/16.05 (step @p150 :rule quant_var_reordering :args ((= (forall @t203 @t199) @t202))) % 15.86/16.05 (step @p151 :rule trans :premises (@p150 @p149 @p147)) % 15.86/16.05 (step @p152 :rule trans :premises (@p151 @p142)) % 15.86/16.05 (step @p153 :rule aci_norm :args ((= @t205 @t199))) % 15.86/16.05 (step @p154 :rule cong :premises (@p153) :args (@t206)) % 15.86/16.05 (step @p155 :rule trans :premises (@p154 @p152)) % 15.86/16.05 (step @p156 :rule quant-merge-prenex :args ((= (forall @t7 @t207) @t206))) % 15.86/16.05 (step @p157 :rule alpha_equiv :args (@t208 @t171 @t210)) % 15.86/16.05 (step @p158 :rule refl :args (@t193)) % 15.86/16.05 (step @p159 :rule refl :args (@t196)) % 15.86/16.05 (step @p160 :rule refl :args (@t197)) % 15.86/16.05 (step @p161 :rule nary_cong :premises (@p160 @p159 @p158 @p157) :args (@t211)) % 15.86/16.05 (step @p162 :rule quant-miniscope-or :args ((= @t207 @t211))) % 15.86/16.05 (step @p163 :rule trans :premises (@p162 @p161)) % 15.86/16.05 (step @p164 :rule symm :premises (@p163)) % 15.86/16.05 (step @p165 :rule cong :premises (@p164) :args (@t220)) % 15.86/16.05 (step @p166 :rule trans :premises (@p165 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15.86/16.05 (step @p266 :rule refl :args (@t269)) % 15.86/16.05 (step @p267 :rule refl :args (@t124)) % 15.86/16.05 (step @p268 :rule refl :args (@t270)) % 15.86/16.05 (step @p269 :rule eq-symm :args (@t1 @t10)) % 15.86/16.05 (step @p270 :rule cong :premises (@p269) :args (@t124)) % 15.86/16.05 (step @p271 :rule nary_cong :premises (@p270 @p268 @p267 @p266 @p265 @p264 @p263) :args (@t271)) % 15.86/16.05 (step @p272 :rule aci_norm :args ((= @t272 @t271))) % 15.86/16.05 (step @p273 :rule trans :premises (@p272 @p271)) % 15.86/16.05 (step @p274 :rule cong :premises (@p273) :args (@t273)) % 15.86/16.05 (step @p275 :rule trans :premises (@p274 @p262)) % 15.86/16.05 (step @p276 :rule cong :premises (@p275) :args (@t274)) % 15.86/16.05 (step @p277 :rule quant-merge-prenex :args ((= @t274 @t275))) % 15.86/16.05 (step @p278 :rule symm :premises (@p277)) % 15.86/16.05 (step @p279 :rule quant_var_reordering :args ((= (forall @t276 @t272) @t275))) % 15.86/16.05 (step @p280 :rule trans :premises 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15.86/16.05 (step @p311 :rule nary_cong :premises (@p310 @p232 @p309 @p308) :args (@t297)) % 15.86/16.05 (step @p312 :rule trans :premises (@p311 @p245)) % 15.86/16.05 (step @p313 :rule quant-miniscope-or :args ((= (forall @t14 @t298) @t297))) % 15.86/16.05 (step @p314 :rule aci_norm :args ((= @t299 @t298))) % 15.86/16.05 (step @p315 :rule cong :premises (@p314) :args ((forall @t14 @t299))) % 15.86/16.05 (step @p316 :rule trans :premises (@p315 @p313)) % 15.86/16.05 (step @p317 :rule trans :premises (@p316 @p312)) % 15.86/16.05 (step @p318 :rule aci_norm :args ((= (or @t270 @t300) @t299))) % 15.86/16.05 (step @p319 :rule bool-impl-elim :args (@t13 @t300)) % 15.86/16.05 (step @p320 :rule trans :premises (@p319 @p318)) % 15.86/16.05 (step @p321 :rule cong :premises (@p320) :args ((forall @t14 (=> @t13 @t300)))) % 15.86/16.05 (step @p322 :rule trans :premises (@p321 @p317)) % 15.86/16.05 (step @p323 :rule aci_norm :args ((= (or @t124 @t123 @t301 @t269 @t196) @t300))) % 15.86/16.05 (step 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:premises (@p628 @p627) :args ((or @t353 @t428))) % 15.86/16.05 (step @p630 :rule cnf_or_neg :args (@t353 0)) % 15.86/16.05 (step @p631 :rule eq_resolve :premises (@p630 @p629)) % 15.86/16.05 (step @p632 :rule reordering :premises (@p631) :args ((or @t345 @t353))) % 15.86/16.05 (step @p633 :rule chain_m_resolution :premises (@p632 @p626) :args (@t353 @t372 (@list @t345))) % 15.86/16.05 (step @p634 :rule chain_m_resolution :premises (@p552 @p551 @p633) :args ((not @t352) @t429 (@list @t354 @t353))) % 15.86/16.05 (step @p635 :rule bool-double-not-elim :args (@t348)) % 15.86/16.05 (step @p636 :rule nary_cong :premises (@p461 @p635) :args ((or @t352 (not @t349)))) % 15.86/16.05 (step @p637 :rule cnf_or_neg :args (@t352 1)) % 15.86/16.05 (step @p638 :rule eq_resolve :premises (@p637 @p636)) % 15.86/16.05 (step @p639 :rule reordering :premises (@p638) :args ((or @t348 @t352))) % 15.86/16.05 (step @p640 :rule chain_m_resolution :premises (@p639 @p634) :args (@t348 @t372 (@list @t352))) % 15.86/16.05 (assume-push @p820 @t348) % 15.86/16.05 (step @p642 :rule instantiate :premises (@p820) :args (@t163)) % 15.86/16.05 (step-pop @p821 :rule scope :premises (@p642)) % 15.86/16.05 (step @p643 :rule process_scope :premises (@p821) :args (@t436)) % 15.86/16.05 (step @p645 :rule implies_elim :premises (@p643)) % 15.86/16.05 (step @p646 :rule chain_m_resolution :premises (@p645 @p640) :args (@t436 @t403 (@list @t348))) % 15.86/16.05 (step @p647 :rule bool-impl-elim :args (@t17 @t63)) % 15.86/16.05 (step @p648 :rule cong :premises (@p647) :args (@t64)) % 15.86/16.05 (step @p649 :rule eq_resolve :premises (@p55 @p648)) % 15.86/16.05 (step @p650 :rule instantiate :premises (@p649) :args (@t163)) % 15.86/16.05 (step @p651 :rule cnf_or_pos :args (@t437)) % 15.86/16.05 (step @p652 :rule reordering :premises (@p651) :args ((or @t358 @t430 (not @t437)))) % 15.86/16.05 (step @p653 :rule chain_m_resolution :premises (@p652 @p485 @p650) :args (@t430 @t377 (@list @t357 @t437))) % 15.86/16.05 (step @p654 :rule eq-symm :args (@t434 @t438)) % 15.86/16.05 (step @p655 :rule cong :premises (@p458) :args (@t439)) % 15.86/16.05 (step @p656 :rule refl :args (@t434)) % 15.86/16.05 (step @p657 :rule cong :premises (@p656 @p655) :args (@t440)) % 15.86/16.05 (step @p658 :rule trans :premises (@p657 @p654)) % 15.86/16.05 (step @p659 :rule nary_cong :premises (@p466 @p585 @p658) :args (@t441)) % 15.86/16.05 (step @p660 :rule cong :premises (@p587 @p659) :args ((=> @t423 @t441))) % 15.86/16.05 (assume-push @p822 @t423) % 15.86/16.05 (step @p662 :rule instantiate :premises (@p577) :args ((@list @t162 tptp.nil))) % 15.86/16.05 (step-pop @p823 :rule scope :premises (@p662)) % 15.86/16.05 (step @p663 :rule process_scope :premises (@p823) :args (@t441)) % 15.86/16.05 (step @p665 :rule eq_resolve :premises (@p663 @p660)) % 15.86/16.05 (step @p666 :rule implies_elim :premises (@p665)) % 15.86/16.05 (step @p667 :rule chain_m_resolution :premises (@p666 @p577) :args (@t443 @t403 @t426)) % 15.86/16.05 (step @p668 :rule cnf_or_pos :args (@t443)) % 15.86/16.05 (step @p669 :rule reordering :premises (@p668) :args ((or @t421 @t358 @t442 (not @t443)))) % 15.86/16.05 (step @p670 :rule chain_m_resolution :premises (@p669 @p17 @p485 @p667) :args (@t442 @t404 (@list @t42 @t357 @t443))) % 15.86/16.05 (step @p671 :rule cnf_or_neg :args (@t359 4)) % 15.86/16.05 (step @p672 :rule chain_m_resolution :premises (@p671 @p478) :args ((not @t347) @t372 @t373)) % 15.86/16.05 (step @p673 :rule refl :args (@t438)) % 15.86/16.05 (step @p674 :rule refl :args (@t347)) % 15.86/16.05 (step @p675 :rule nary_cong :premises (@p674 @p627 @p673) :args ((or @t347 @t428 @t438))) % 15.86/16.05 (step @p676 :rule cnf_and_neg :args (@t347)) % 15.86/16.05 (step @p677 :rule eq_resolve :premises (@p676 @p675)) % 15.86/16.05 (step @p678 :rule reordering :premises (@p677) :args ((or @t345 @t347 @t438))) % 15.86/16.05 (step @p679 :rule chain_m_resolution :premises (@p678 @p626 @p672) :args (@t438 (@list true true) (@list @t345 @t347))) % 15.86/16.05 (step @p680 :rule bool-double-not-elim :args (@t343)) % 15.86/16.05 (step @p681 :rule refl :args (@t444)) % 15.86/16.05 (step @p682 :rule nary_cong :premises (@p681 @p680 @p656) :args ((or @t444 (not @t438) @t434))) % 15.86/16.05 (step @p683 :rule cnf_equiv_pos1 :args (@t442)) % 15.86/16.05 (step @p684 :rule eq_resolve :premises (@p683 @p682)) % 15.86/16.05 (step @p685 :rule reordering :premises (@p684) :args ((or @t343 @t434 @t444))) % 15.86/16.05 (step @p686 :rule chain_m_resolution :premises (@p685 @p679 @p670) :args (@t434 @t429 (@list @t343 @t442))) % 15.86/16.05 (step @p687 :rule cnf_or_pos :args (@t436)) % 15.86/16.05 (step @p688 :rule reordering :premises (@p687) :args ((or @t358 @t435 @t433 @t431 (not @t436)))) % 15.86/16.05 (step @p689 :rule chain_m_resolution :premises (@p688 @p485 @p686 @p653 @p646) :args (@t433 (@list false false false false) (@list @t357 @t434 @t430 @t436))) % 15.86/16.05 (step @p690 :rule aci_norm :args ((= @t454 (or @t158 @t452 @t451 @t450 @t449 @t448)))) % 15.86/16.05 (step @p691 :rule cong :premises (@p690) :args (@t455)) % 15.86/16.05 (step @p692 :rule quant-merge-prenex :args ((= (forall @t9 @t457) @t455))) % 15.86/16.05 (step @p693 :rule alpha_equiv :args (@t458 (@list @t445 @t447 @t446) (@list @t1 @t460 @t459))) % 15.86/16.05 (step @p694 :rule nary_cong :premises (@p112 @p693) :args (@t461)) % 15.86/16.05 (step @p695 :rule quant-miniscope-or :args ((= @t457 @t461))) % 15.86/16.05 (step @p696 :rule trans :premises (@p695 @p694)) % 15.86/16.05 (step @p697 :rule symm :premises (@p696)) % 15.86/16.05 (step @p698 :rule cong :premises (@p697) :args ((forall @t9 (or @t158 @t468)))) % 15.86/16.05 (step @p699 :rule trans :premises (@p698 @p692)) % 15.86/16.05 (step @p700 :rule trans :premises (@p699 @p691)) % 15.86/16.05 (step @p701 :rule bool-impl-elim :args (@t17 @t468)) % 15.86/16.05 (step @p702 :rule cong :premises (@p701) :args ((forall @t9 (=> @t17 @t468)))) % 15.86/16.05 (step @p703 :rule trans :premises (@p702 @p700)) % 15.86/16.05 (step @p704 :rule aci_norm :args ((= @t470 @t466))) % 15.86/16.05 (step @p705 :rule cong :premises (@p704) :args (@t471)) % 15.86/16.05 (step @p706 :rule quant-merge-prenex :args ((= (forall @t7 @t473) @t471))) % 15.86/16.05 (step @p707 :rule alpha_equiv :args (@t474 (@list @t460 @t459) (@list @t12 @t475))) % 15.86/16.05 (step @p708 :rule refl :args (@t465)) % 15.86/16.05 (step @p709 :rule nary_cong :premises (@p160 @p708 @p707) :args (@t476)) % 15.86/16.05 (step @p710 :rule quant-miniscope-or :args ((= @t473 @t476))) % 15.86/16.05 (step @p711 :rule trans :premises (@p710 @p709)) % 15.86/16.05 (step @p712 :rule symm :premises (@p711)) % 15.86/16.05 (step @p713 :rule cong :premises (@p712) :args ((forall @t7 @t482))) % 15.86/16.05 (step @p714 :rule trans :premises (@p713 @p706)) % 15.86/16.05 (step @p715 :rule trans :premises (@p714 @p705)) % 15.86/16.05 (step @p716 :rule aci_norm :args ((= (or @t197 @t483) @t482))) % 15.86/16.05 (step @p717 :rule bool-impl-elim :args (@t21 @t483)) % 15.86/16.05 (step @p718 :rule trans :premises (@p717 @p716)) % 15.86/16.05 (step @p719 :rule cong :premises (@p718) :args ((forall @t7 (=> @t21 @t483)))) % 15.86/16.05 (step @p720 :rule trans :premises (@p719 @p715)) % 15.86/16.05 (step @p721 :rule aci_norm :args ((= @t485 @t479))) % 15.86/16.05 (step @p722 :rule cong :premises (@p721) :args (@t486)) % 15.86/16.05 (step @p723 :rule quant-merge-prenex :args ((= (forall @t16 @t488) @t486))) % 15.86/16.05 (step @p724 :rule alpha_equiv :args (@t489 (@list @t475) (@list @t10))) % 15.86/16.05 (step @p725 :rule nary_cong :premises (@p205 @p724) :args (@t490)) % 15.86/16.05 (step @p726 :rule quant-miniscope-or :args ((= @t488 @t490))) % 15.86/16.05 (step @p727 :rule trans :premises (@p726 @p725)) % 15.86/16.05 (step @p728 :rule symm :premises (@p727)) % 15.86/16.05 (step @p729 :rule cong :premises (@p728) :args (@t494)) % 15.86/16.05 (step @p730 :rule trans :premises (@p729 @p723)) % 15.86/16.05 (step @p731 :rule trans :premises (@p730 @p722)) % 15.86/16.05 (step @p732 :rule refl :args (@t465)) % 15.86/16.05 (step @p733 :rule nary_cong :premises (@p732 @p731) :args (@t495)) % 15.86/16.05 (step @p734 :rule quant-miniscope-or :args ((= (forall @t16 @t496) @t495))) % 15.86/16.05 (step @p735 :rule aci_norm :args ((= @t497 @t496))) % 15.86/16.05 (step @p736 :rule cong :premises (@p735) :args ((forall @t16 @t497))) % 15.86/16.05 (step @p737 :rule trans :premises (@p736 @p734)) % 15.86/16.05 (step @p738 :rule trans :premises (@p737 @p733)) % 15.86/16.05 (step @p739 :rule aci_norm :args ((= (or @t235 @t498) @t497))) % 15.86/16.05 (step @p740 :rule bool-impl-elim :args (@t15 @t498)) % 15.86/16.05 (step @p741 :rule trans :premises (@p740 @p739)) % 15.86/16.05 (step @p742 :rule cong :premises (@p741) :args ((forall @t16 (=> @t15 @t498)))) % 15.86/16.05 (step @p743 :rule trans :premises (@p742 @p738)) % 15.86/16.05 (step @p744 :rule quant-miniscope-or :args ((= (forall @t14 @t499) @t498))) % 15.86/16.05 (step @p745 :rule aci_norm :args ((= @t500 @t499))) % 15.86/16.05 (step @p746 :rule cong :premises (@p745) :args ((forall @t14 @t500))) % 15.86/16.05 (step @p747 :rule trans :premises (@p746 @p744)) % 15.86/16.05 (step @p748 :rule aci_norm :args ((= (or @t270 (or @t465 @t65)) @t500))) % 15.86/16.05 (step @p749 :rule bool-impl-elim :args (@t24 @t65)) % 15.86/16.05 (step @p750 :rule nary_cong :premises (@p268 @p749) :args ((or @t270 @t66))) % 15.86/16.05 (step @p751 :rule trans :premises (@p750 @p748)) % 15.86/16.05 (step @p752 :rule bool-impl-elim :args (@t13 @t66)) % 15.86/16.05 (step @p753 :rule trans :premises (@p752 @p751)) % 15.86/16.05 (step @p754 :rule cong :premises (@p753) :args (@t67)) % 15.86/16.05 (step @p755 :rule trans :premises (@p754 @p747)) % 15.86/16.05 (step @p756 :rule cong :premises (@p435 @p755) :args (@t68)) % 15.86/16.05 (step @p757 :rule cong :premises (@p756) :args (@t69)) % 15.86/16.05 (step @p758 :rule trans :premises (@p757 @p743)) % 15.86/16.05 (step @p759 :rule cong :premises (@p439 @p758) :args (@t70)) % 15.86/16.05 (step @p760 :rule cong :premises (@p759) :args (@t71)) % 15.86/16.05 (step @p761 :rule trans :premises (@p760 @p720)) % 15.86/16.05 (step @p762 :rule cong :premises (@p101 @p761) :args (@t72)) % 15.86/16.05 (step @p763 :rule cong :premises (@p762) :args (@t73)) % 15.86/16.05 (step @p764 :rule trans :premises (@p763 @p703)) % 15.86/16.05 (step @p765 :rule eq_resolve :premises (@p56 @p764)) % 15.86/16.05 (step @p766 :rule instantiate :premises (@p765) :args ((@list @t162 @t162 tptp.nil @t339))) % 15.86/16.05 (step @p767 :rule cnf_or_pos :args (@t502)) % 15.86/16.05 (step @p768 :rule factoring :premises (@p767)) % 15.86/16.05 (step @p769 :rule reordering :premises (@p768) :args ((or @t421 @t358 @t342 @t431 @t501 (not @t502)))) % 15.86/16.05 (step @p770 :rule chain_m_resolution :premises (@p769 @p17 @p485 @p541 @p653 @p766) :args (@t501 (@list false false false false false) (@list @t42 @t357 @t341 @t430 @t502))) % 15.86/16.05 (step @p771 :rule refl :args (@t503)) % 15.86/16.05 (step @p772 :rule bool-double-not-elim :args (@t432)) % 15.86/16.05 (step @p773 :rule refl :args (@t504)) % 15.86/16.05 (step @p774 :rule nary_cong :premises (@p773 @p772 @p771) :args ((or @t504 (not @t433) @t503))) % 15.86/16.05 (assume-push @p824 @t501) % 15.86/16.05 (assume-push @p825 @t375) % 15.86/16.05 (assume-push @p826 @t433) % 15.86/16.05 (step @p778 :rule evaluate :args ((= false true))) % 15.86/16.05 (step @p779 :rule true_intro :premises (@p770)) % 15.86/16.05 (step @p780 :rule refl :args (@t162)) % 15.86/16.05 (step @p781 :rule refl :args (@t339)) % 15.86/16.05 (step @p782 :rule cong :premises (@p488 @p781) :args (@t344)) % 15.86/16.05 (step @p783 :rule cong :premises (@p782 @p780) :args (@t432)) % 15.86/16.05 (step @p784 :rule false_intro :premises (@p826)) % 15.86/16.05 (step @p785 :rule symm :premises (@p784)) % 15.86/16.05 (step @p786 :rule trans :premises (@p785 @p783 @p779)) % 15.86/16.05 (step @p787 false :rule eq_resolve :premises (@p786 @p778)) % 15.86/16.05 (step-pop @p827 :rule scope :premises (@p787)) % 15.86/16.05 (step-pop @p828 :rule scope :premises (@p827)) % 15.86/16.05 (step-pop @p829 :rule scope :premises (@p828)) % 15.86/16.05 (step @p788 :rule process_scope :premises (@p829) :args (false)) % 15.86/16.05 (assume-push @p830 @t375) % 15.86/16.05 (assume-push @p831 @t433) % 15.86/16.05 (assume-push @p832 @t501) % 15.86/16.05 (step @p795 :rule and_intro :premises (@p770 @p488 @p831)) % 15.86/16.05 (step-pop @p833 :rule scope :premises (@p795)) % 15.86/16.05 (step-pop @p834 :rule scope :premises (@p833)) % 15.86/16.05 (step-pop @p835 :rule scope :premises (@p834)) % 15.86/16.05 (step @p796 :rule process_scope :premises (@p835) :args (@t505)) % 15.86/16.05 (step @p800 :rule implies_elim :premises (@p796)) % 15.86/16.05 (step @p801 :rule resolution :premises (@p800 @p788) :args (true @t505)) % 15.86/16.05 (step @p802 :rule not_and :premises (@p801)) % 15.86/16.05 (step @p803 :rule eq_resolve :premises (@p802 @p774)) % 15.86/16.05 (step @p804 :rule reordering :premises (@p803) :args ((or @t432 @t504 @t503))) % 15.86/16.05 (step @p805 false :rule chain_m_resolution :premises (@p804 @p770 @p689 @p488) :args (false (@list false true false) (@list @t501 @t432 @t375))) % 15.86/16.05 ) % 15.86/16.05 % SZS output end Proof % 15.86/16.05 % cvc5 exiting %------------------------------------------------------------------------------