%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC399+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:59:10 AM UTC 2026 % Result : Theorem 21.48s 21.70s % Output : Proof 21.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC399+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:45:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 21.48/21.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 21.48/21.70 --- Run --no-e-matching --full-saturate-quant at 6... % 21.48/21.70 % SZS status Theorem % 21.48/21.70 % SZS output start Proof % 21.48/21.70 ( % 21.48/21.70 (declare-sort $$unsorted 0) % 21.48/21.70 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 21.48/21.70 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 21.48/21.70 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 21.48/21.70 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 21.48/21.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 21.48/21.70 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 21.48/21.70 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 21.48/21.70 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 21.48/21.70 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 21.48/21.70 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 21.48/21.70 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 21.48/21.70 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 21.48/21.70 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 21.48/21.70 (declare-const tptp.nil $$unsorted) % 21.48/21.70 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 21.48/21.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 21.48/21.70 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 21.48/21.70 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 21.48/21.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 21.48/21.70 (declare-const tptp.ssList (-> $$unsorted Bool)) % 21.48/21.70 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 21.48/21.70 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 21.48/21.70 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 21.48/21.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 21.48/21.70 (define @t1 () (@var "V" $$unsorted)) % 21.48/21.70 (define @t2 () (@var "U" $$unsorted)) % 21.48/21.70 (define @t3 () (= @t2 @t1)) % 21.48/21.70 (define @t4 () (not @t3)) % 21.48/21.70 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 21.48/21.70 (define @t6 () (tptp.ssItem @t1)) % 21.48/21.70 (define @t7 () (@list @t1)) % 21.48/21.70 (define @t8 () (tptp.ssItem @t2)) % 21.48/21.70 (define @t9 () (@list @t2)) % 21.48/21.70 (define @t10 () (@var "X" $$unsorted)) % 21.48/21.70 (define @t11 () (tptp.cons @t1 @t10)) % 21.48/21.70 (define @t12 () (@var "W" $$unsorted)) % 21.48/21.70 (define @t13 () (tptp.ssList @t10)) % 21.48/21.70 (define @t14 () (@list @t10)) % 21.48/21.70 (define @t15 () (tptp.ssList @t12)) % 21.48/21.70 (define @t16 () (@list @t12)) % 21.48/21.70 (define @t17 () (tptp.ssList @t2)) % 21.48/21.70 (define @t18 () (tptp.cons @t1 tptp.nil)) % 21.48/21.70 (define @t19 () (tptp.app @t1 @t12)) % 21.48/21.70 (define @t20 () (tptp.frontsegP @t2 @t1)) % 21.48/21.70 (define @t21 () (tptp.ssList @t1)) % 21.48/21.70 (define @t22 () (tptp.app @t12 @t1)) % 21.48/21.70 (define @t23 () (tptp.rearsegP @t2 @t1)) % 21.48/21.70 (define @t24 () (tptp.segmentP @t2 @t1)) % 21.48/21.70 (define @t25 () (tptp.leq @t12 @t1)) % 21.48/21.70 (define @t26 () (tptp.leq @t1 @t12)) % 21.48/21.70 (define @t27 () (@var "Z" $$unsorted)) % 21.48/21.70 (define @t28 () (@var "Y" $$unsorted)) % 21.48/21.70 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 21.48/21.70 (define @t30 () (tptp.ssList @t27)) % 21.48/21.70 (define @t31 () (@list @t27)) % 21.48/21.70 (define @t32 () (tptp.ssList @t28)) % 21.48/21.70 (define @t33 () (@list @t28)) % 21.48/21.70 (define @t34 () (tptp.ssItem @t12)) % 21.48/21.70 (define @t35 () (tptp.lt @t1 @t12)) % 21.48/21.70 (define @t36 () (= @t1 @t12)) % 21.48/21.70 (define @t37 () (tptp.equalelemsP @t2)) % 21.48/21.70 (define @t38 () (tptp.cons @t1 @t2)) % 21.48/21.70 (define @t39 () (tptp.ssList tptp.nil)) % 21.48/21.70 (define @t40 () (= @t1 @t2)) % 21.48/21.70 (define @t41 () (tptp.cons @t12 @t1)) % 21.48/21.70 (define @t42 () (= tptp.nil @t2)) % 21.48/21.70 (define @t43 () (tptp.hd @t2)) % 21.48/21.70 (define @t44 () (not @t42)) % 21.48/21.70 (define @t45 () (tptp.tl @t2)) % 21.48/21.70 (define @t46 () (tptp.app @t2 @t1)) % 21.48/21.70 (define @t47 () (tptp.ssList @t46)) % 21.48/21.70 (define @t48 () (forall @t7 (=> @t21 @t47))) % 21.48/21.70 (define @t49 () (=> @t17 @t48)) % 21.48/21.70 (define @t50 () (forall @t9 @t49)) % 21.48/21.70 (define @t51 () (tptp.app @t1 @t2)) % 21.48/21.70 (define @t52 () (tptp.app tptp.nil @t2)) % 21.48/21.70 (define @t53 () (=> @t17 (= @t52 @t2))) % 21.48/21.70 (define @t54 () (forall @t9 @t53)) % 21.48/21.70 (define @t55 () (tptp.leq @t1 @t2)) % 21.48/21.70 (define @t56 () (tptp.leq @t2 @t1)) % 21.48/21.70 (define @t57 () (tptp.geq @t2 @t1)) % 21.48/21.70 (define @t58 () (tptp.lt @t1 @t2)) % 21.48/21.70 (define @t59 () (tptp.lt @t2 @t1)) % 21.48/21.70 (define @t60 () (tptp.lt @t2 @t12)) % 21.48/21.70 (define @t61 () (tptp.gt @t2 @t1)) % 21.48/21.70 (define @t62 () (tptp.memberP @t12 @t2)) % 21.48/21.70 (define @t63 () (tptp.memberP @t1 @t2)) % 21.48/21.70 (define @t64 () (= (tptp.memberP @t19 @t2) (or @t63 @t62))) % 21.48/21.70 (define @t65 () (forall @t16 (=> @t15 @t64))) % 21.48/21.70 (define @t66 () (=> @t21 @t65)) % 21.48/21.70 (define @t67 () (forall @t7 @t66)) % 21.48/21.70 (define @t68 () (=> @t8 @t67)) % 21.48/21.70 (define @t69 () (forall @t9 @t68)) % 21.48/21.70 (define @t70 () (tptp.app @t12 @t2)) % 21.48/21.70 (define @t71 () (tptp.cons @t2 tptp.nil)) % 21.48/21.70 (define @t72 () (tptp.hd @t1)) % 21.48/21.70 (define @t73 () (= tptp.nil @t1)) % 21.48/21.70 (define @t74 () (not @t73)) % 21.48/21.70 (define @t75 () (tptp.cons @t2 @t1)) % 21.48/21.70 (define @t76 () (= @t12 @t2)) % 21.48/21.70 (define @t77 () (= (tptp.app @t46 @t12) (tptp.app @t2 @t19))) % 21.48/21.70 (define @t78 () (forall @t16 (=> @t15 @t77))) % 21.48/21.70 (define @t79 () (=> @t21 @t78)) % 21.48/21.70 (define @t80 () (forall @t7 @t79)) % 21.48/21.70 (define @t81 () (=> @t17 @t80)) % 21.48/21.70 (define @t82 () (forall @t9 @t81)) % 21.48/21.70 (define @t83 () (not (= tptp.nil @t10))) % 21.48/21.70 (define @t84 () (and @t83 (= tptp.nil @t12))) % 21.48/21.70 (define @t85 () (@var "X7" $$unsorted)) % 21.48/21.70 (define @t86 () (forall (@list @t85) (or (not (tptp.ssItem @t85)) (not (tptp.memberP @t2 @t85)) (tptp.memberP @t1 @t85)))) % 21.48/21.70 (define @t87 () (@var "X4" $$unsorted)) % 21.48/21.70 (define @t88 () (tptp.cons @t87 tptp.nil)) % 21.48/21.70 (define @t89 () (@var "X6" $$unsorted)) % 21.48/21.70 (define @t90 () (tptp.app @t89 @t88)) % 21.48/21.70 (define @t91 () (tptp.ssList @t89)) % 21.48/21.70 (define @t92 () (and @t91 (= @t90 @t12))) % 21.48/21.70 (define @t93 () (@list @t89)) % 21.48/21.70 (define @t94 () (exists @t93 @t92)) % 21.48/21.70 (define @t95 () (@var "X5" $$unsorted)) % 21.48/21.70 (define @t96 () (tptp.app @t88 @t95)) % 21.48/21.70 (define @t97 () (tptp.ssList @t95)) % 21.48/21.70 (define @t98 () (and @t97 (= @t96 @t27) @t94)) % 21.48/21.70 (define @t99 () (@list @t95)) % 21.48/21.70 (define @t100 () (exists @t99 @t98)) % 21.48/21.70 (define @t101 () (tptp.ssItem @t87)) % 21.48/21.70 (define @t102 () (and @t101 @t100)) % 21.48/21.70 (define @t103 () (@list @t87)) % 21.48/21.70 (define @t104 () (exists @t103 @t102)) % 21.48/21.70 (define @t105 () (@var "X3" $$unsorted)) % 21.48/21.70 (define @t106 () (@var "X1" $$unsorted)) % 21.48/21.70 (define @t107 () (tptp.cons @t106 tptp.nil)) % 21.48/21.70 (define @t108 () (tptp.app @t107 @t105)) % 21.48/21.70 (define @t109 () (tptp.ssList @t105)) % 21.48/21.70 (define @t110 () (and @t109 (= @t108 @t12))) % 21.48/21.70 (define @t111 () (@list @t105)) % 21.48/21.70 (define @t112 () (exists @t111 @t110)) % 21.48/21.70 (define @t113 () (@var "X2" $$unsorted)) % 21.48/21.70 (define @t114 () (tptp.app @t113 @t107)) % 21.48/21.70 (define @t115 () (tptp.ssList @t113)) % 21.48/21.70 (define @t116 () (and @t115 (= @t114 @t28) @t112)) % 21.48/21.70 (define @t117 () (@list @t113)) % 21.48/21.70 (define @t118 () (exists @t117 @t116)) % 21.48/21.70 (define @t119 () (tptp.ssItem @t106)) % 21.48/21.70 (define @t120 () (and @t119 @t118)) % 21.48/21.70 (define @t121 () (@list @t106)) % 21.48/21.70 (define @t122 () (exists @t121 @t120)) % 21.48/21.70 (define @t123 () (not (tptp.equalelemsP @t12))) % 21.48/21.70 (define @t124 () (tptp.app @t28 @t12)) % 21.48/21.70 (define @t125 () (tptp.app @t124 @t27)) % 21.48/21.70 (define @t126 () (not (= @t125 @t10))) % 21.48/21.70 (define @t127 () (not @t30)) % 21.48/21.70 (define @t128 () (or @t127 @t126 @t123 @t122 @t104)) % 21.48/21.70 (define @t129 () (forall @t31 @t128)) % 21.48/21.70 (define @t130 () (=> @t32 @t129)) % 21.48/21.70 (define @t131 () (forall @t33 @t130)) % 21.48/21.70 (define @t132 () (not (= @t2 @t12))) % 21.48/21.70 (define @t133 () (not (= @t1 @t10))) % 21.48/21.70 (define @t134 () (not @t13)) % 21.48/21.70 (define @t135 () (or @t134 @t133 @t132 @t131 @t86 @t84)) % 21.48/21.70 (define @t136 () (forall @t14 @t135)) % 21.48/21.70 (define @t137 () (=> @t15 @t136)) % 21.48/21.70 (define @t138 () (forall @t16 @t137)) % 21.48/21.70 (define @t139 () (=> @t21 @t138)) % 21.48/21.70 (define @t140 () (forall @t7 @t139)) % 21.48/21.70 (define @t141 () (=> @t17 @t140)) % 21.48/21.70 (define @t142 () (forall @t9 @t141)) % 21.48/21.70 (define @t143 () (not @t142)) % 21.48/21.70 (define @t144 () (@var "BOUND_VARIABLE_9414" $$unsorted)) % 21.48/21.70 (define @t145 () (tptp.ssList (tptp.app @t2 @t144))) % 21.48/21.70 (define @t146 () (not (tptp.ssList @t144))) % 21.48/21.70 (define @t147 () (not @t17)) % 21.48/21.70 (define @t148 () (or @t147 @t146 @t145)) % 21.48/21.70 (define @t149 () (or @t146 @t145)) % 21.48/21.70 (define @t150 () (or @t147 @t149)) % 21.48/21.70 (define @t151 () (@list @t2 @t144)) % 21.48/21.70 (define @t152 () (forall @t151 @t150)) % 21.48/21.70 (define @t153 () (@list @t144)) % 21.48/21.70 (define @t154 () (forall @t153 @t150)) % 21.48/21.70 (define @t155 () (forall @t153 @t149)) % 21.48/21.70 (define @t156 () (or @t147 @t155)) % 21.48/21.70 (define @t157 () (not @t21)) % 21.48/21.70 (define @t158 () (forall @t7 (or @t157 @t47))) % 21.48/21.70 (define @t159 () (@var "BOUND_VARIABLE_11311" $$unsorted)) % 21.48/21.70 (define @t160 () (@var "BOUND_VARIABLE_11070" $$unsorted)) % 21.48/21.70 (define @t161 () (tptp.app @t88 @t160)) % 21.48/21.70 (define @t162 () (not (tptp.ssList @t160))) % 21.48/21.70 (define @t163 () (@var "BOUND_VARIABLE_11062" $$unsorted)) % 21.48/21.70 (define @t164 () (tptp.app @t163 @t88)) % 21.48/21.70 (define @t165 () (not (= @t2 @t164))) % 21.48/21.70 (define @t166 () (not (tptp.ssList @t163))) % 21.48/21.70 (define @t167 () (not @t101)) % 21.48/21.70 (define @t168 () (@list @t87 @t163 @t160)) % 21.48/21.70 (define @t169 () (not (forall @t168 (or @t167 @t166 @t165 @t162 (not (= @t161 @t159)))))) % 21.48/21.70 (define @t170 () (not (tptp.ssList @t159))) % 21.48/21.70 (define @t171 () (@var "BOUND_VARIABLE_11309" $$unsorted)) % 21.48/21.70 (define @t172 () (@var "BOUND_VARIABLE_11015" $$unsorted)) % 21.48/21.70 (define @t173 () (tptp.app @t172 @t107)) % 21.48/21.70 (define @t174 () (not (tptp.ssList @t172))) % 21.48/21.70 (define @t175 () (@var "BOUND_VARIABLE_11007" $$unsorted)) % 21.48/21.70 (define @t176 () (tptp.app @t107 @t175)) % 21.48/21.70 (define @t177 () (not (= @t2 @t176))) % 21.48/21.70 (define @t178 () (not (tptp.ssList @t175))) % 21.48/21.70 (define @t179 () (not @t119)) % 21.48/21.70 (define @t180 () (@list @t106 @t175 @t172)) % 21.48/21.70 (define @t181 () (not (forall @t180 (or @t179 @t178 @t177 @t174 (not (= @t173 @t171)))))) % 21.48/21.70 (define @t182 () (not (tptp.ssList @t171))) % 21.48/21.70 (define @t183 () (@var "BOUND_VARIABLE_11307" $$unsorted)) % 21.48/21.70 (define @t184 () (tptp.app (tptp.app @t171 @t2) @t159)) % 21.48/21.70 (define @t185 () (tptp.memberP @t184 @t183)) % 21.48/21.70 (define @t186 () (not (tptp.memberP @t2 @t183))) % 21.48/21.70 (define @t187 () (not (tptp.ssItem @t183))) % 21.48/21.70 (define @t188 () (= @t2 tptp.nil)) % 21.48/21.70 (define @t189 () (and (not (= tptp.nil @t184)) @t188)) % 21.48/21.70 (define @t190 () (not (tptp.ssList @t184))) % 21.48/21.70 (define @t191 () (not @t37)) % 21.48/21.70 (define @t192 () (or @t147 @t191 @t190 @t189 @t187 @t186 @t185 @t182 @t181 @t170 @t169)) % 21.48/21.70 (define @t193 () (@list @t2 @t183 @t171 @t159)) % 21.48/21.70 (define @t194 () (forall @t193 @t192)) % 21.48/21.70 (define @t195 () (@quantifiers_skolemize @t194 0)) % 21.48/21.70 (define @t196 () (@quantifiers_skolemize @t194 2)) % 21.48/21.70 (define @t197 () (tptp.app @t196 @t195)) % 21.48/21.70 (define @t198 () (@var "BOUND_VARIABLE_9702" $$unsorted)) % 21.48/21.70 (define @t199 () (@var "BOUND_VARIABLE_9700" $$unsorted)) % 21.48/21.70 (define @t200 () (= (tptp.memberP (tptp.app @t199 @t198) @t2) (or (tptp.memberP @t199 @t2) (tptp.memberP @t198 @t2)))) % 21.48/21.70 (define @t201 () (not (tptp.ssList @t198))) % 21.48/21.70 (define @t202 () (not (tptp.ssList @t199))) % 21.48/21.70 (define @t203 () (not @t8)) % 21.48/21.70 (define @t204 () (or @t202 @t201 @t200)) % 21.48/21.70 (define @t205 () (or @t203 @t204)) % 21.48/21.70 (define @t206 () (forall (@list @t2 @t199 @t198) @t205)) % 21.48/21.70 (define @t207 () (@list @t199 @t198)) % 21.48/21.70 (define @t208 () (forall @t207 @t205)) % 21.48/21.70 (define @t209 () (forall @t207 @t204)) % 21.48/21.70 (define @t210 () (@var "BOUND_VARIABLE_9681" $$unsorted)) % 21.48/21.70 (define @t211 () (or @t203 @t209)) % 21.48/21.70 (define @t212 () (= (tptp.memberP (tptp.app @t1 @t210) @t2) (or @t63 (tptp.memberP @t210 @t2)))) % 21.48/21.70 (define @t213 () (not (tptp.ssList @t210))) % 21.48/21.70 (define @t214 () (or @t157 @t213 @t212)) % 21.48/21.70 (define @t215 () (@list @t1 @t210)) % 21.48/21.70 (define @t216 () (forall @t215 @t214)) % 21.48/21.70 (define @t217 () (or @t213 @t212)) % 21.48/21.70 (define @t218 () (or @t157 @t217)) % 21.48/21.70 (define @t219 () (forall @t215 @t218)) % 21.48/21.70 (define @t220 () (@list @t210)) % 21.48/21.70 (define @t221 () (forall @t220 @t218)) % 21.48/21.70 (define @t222 () (forall @t220 @t217)) % 21.48/21.70 (define @t223 () (@list @t12)) % 21.48/21.70 (define @t224 () (or @t157 @t222)) % 21.48/21.70 (define @t225 () (not @t15)) % 21.48/21.70 (define @t226 () (forall @t16 (or @t225 @t64))) % 21.48/21.70 (define @t227 () (@quantifiers_skolemize @t194 3)) % 21.48/21.70 (define @t228 () (tptp.app tptp.nil @t197)) % 21.48/21.70 (define @t229 () (@quantifiers_skolemize @t194 1)) % 21.48/21.70 (define @t230 () (or @t190 @t189 @t187 @t186 @t185 @t182 @t181 @t170 @t169)) % 21.48/21.70 (define @t231 () (or @t147 @t191 @t230)) % 21.48/21.70 (define @t232 () (forall @t193 @t231)) % 21.48/21.70 (define @t233 () (@list @t183 @t171 @t159)) % 21.48/21.70 (define @t234 () (forall @t233 @t231)) % 21.48/21.70 (define @t235 () (forall @t233 @t230)) % 21.48/21.70 (define @t236 () (@var "BOUND_VARIABLE_11260" $$unsorted)) % 21.48/21.70 (define @t237 () (@var "BOUND_VARIABLE_11258" $$unsorted)) % 21.48/21.70 (define @t238 () (@var "BOUND_VARIABLE_11250" $$unsorted)) % 21.48/21.70 (define @t239 () (or @t147 @t191 @t235)) % 21.48/21.70 (define @t240 () (not (forall @t168 (or @t167 @t166 @t165 @t162 (not (= @t161 @t236)))))) % 21.48/21.70 (define @t241 () (not (tptp.ssList @t236))) % 21.48/21.70 (define @t242 () (not (forall @t180 (or @t179 @t178 @t177 @t174 (not (= @t173 @t237)))))) % 21.48/21.70 (define @t243 () (not (tptp.ssList @t237))) % 21.48/21.70 (define @t244 () (tptp.app (tptp.app @t237 @t2) @t236)) % 21.48/21.70 (define @t245 () (tptp.memberP @t244 @t238)) % 21.48/21.70 (define @t246 () (not (tptp.memberP @t2 @t238))) % 21.48/21.70 (define @t247 () (not (tptp.ssItem @t238))) % 21.48/21.70 (define @t248 () (and (not (= tptp.nil @t244)) @t188)) % 21.48/21.70 (define @t249 () (not (tptp.ssList @t244))) % 21.48/21.70 (define @t250 () (or @t249 @t248 @t247 @t246 @t245 @t243 @t242 @t241 @t240)) % 21.48/21.70 (define @t251 () (@list @t238 @t237 @t236)) % 21.48/21.70 (define @t252 () (or @t147 @t191 (forall @t251 @t250))) % 21.48/21.70 (define @t253 () (not (= @t244 @t244))) % 21.48/21.70 (define @t254 () (not (= @t244 tptp.nil))) % 21.48/21.70 (define @t255 () (and @t254 @t188)) % 21.48/21.70 (define @t256 () (or @t249 @t255 @t247 @t246 @t245 @t243 @t242 @t241 @t253 @t240)) % 21.48/21.70 (define @t257 () (not (= @t1 @t244))) % 21.48/21.70 (define @t258 () (tptp.memberP @t1 @t238)) % 21.48/21.70 (define @t259 () (not (= @t1 tptp.nil))) % 21.48/21.70 (define @t260 () (and @t259 @t188)) % 21.48/21.70 (define @t261 () (or @t257 @t157 @t260 @t247 @t246 @t258 @t243 @t242 @t241 @t257 @t240)) % 21.48/21.70 (define @t262 () (or @t157 @t260 @t247 @t246 @t258 @t243 @t242 @t241 @t257 @t240)) % 21.48/21.70 (define @t263 () (forall @t7 @t262)) % 21.48/21.70 (define @t264 () (forall @t251 @t263)) % 21.48/21.70 (define @t265 () (forall (@list @t238 @t237 @t236 @t1) @t262)) % 21.48/21.70 (define @t266 () (@list @t1 @t238 @t237 @t236)) % 21.48/21.70 (define @t267 () (or @t243 @t242 @t241 @t257 @t240)) % 21.48/21.70 (define @t268 () (or @t247 @t246 @t258)) % 21.48/21.70 (define @t269 () (or @t157 @t268 @t260 @t267)) % 21.48/21.70 (define @t270 () (forall @t266 @t269)) % 21.48/21.70 (define @t271 () (forall @t251 @t269)) % 21.48/21.70 (define @t272 () (forall (@list @t237 @t236) @t267)) % 21.48/21.70 (define @t273 () (@var "BOUND_VARIABLE_11188" $$unsorted)) % 21.48/21.70 (define @t274 () (@var "BOUND_VARIABLE_11186" $$unsorted)) % 21.48/21.70 (define @t275 () (@list @t274 @t273)) % 21.48/21.70 (define @t276 () (forall (@list @t238) @t268)) % 21.48/21.70 (define @t277 () (or @t157 @t276 @t260 @t272)) % 21.48/21.70 (define @t278 () (not (= @t161 @t273))) % 21.48/21.70 (define @t279 () (not (forall @t168 (or @t167 @t166 @t165 @t162 @t278)))) % 21.48/21.70 (define @t280 () (not (= @t1 (tptp.app (tptp.app @t274 @t2) @t273)))) % 21.48/21.70 (define @t281 () (not (tptp.ssList @t273))) % 21.48/21.70 (define @t282 () (not (= @t173 @t274))) % 21.48/21.70 (define @t283 () (not (forall @t180 (or @t179 @t178 @t177 @t174 @t282)))) % 21.48/21.70 (define @t284 () (not (tptp.ssList @t274))) % 21.48/21.70 (define @t285 () (or @t284 @t283 @t281 @t280 @t279)) % 21.48/21.70 (define @t286 () (@list @t274 @t273)) % 21.48/21.70 (define @t287 () (forall @t286 @t285)) % 21.48/21.70 (define @t288 () (or @t157 @t86 @t260 @t287)) % 21.48/21.70 (define @t289 () (forall @t7 @t288)) % 21.48/21.70 (define @t290 () (or @t147 @t191 @t289)) % 21.48/21.70 (define @t291 () (or @t147 @t191 @t288)) % 21.48/21.70 (define @t292 () (or @t157 @t86 @t147 @t191 @t260 @t287)) % 21.48/21.70 (define @t293 () (or @t86 @t157 @t147 @t191 @t260 @t287)) % 21.48/21.70 (define @t294 () (or @t147 @t191 @t260 @t287)) % 21.48/21.70 (define @t295 () (or @t147 @t191 @t260 @t285)) % 21.48/21.70 (define @t296 () (or @t147 @t191 @t260 @t284 @t283 @t281 @t280 @t279)) % 21.48/21.70 (define @t297 () (not (= @t2 @t2))) % 21.48/21.70 (define @t298 () (or @t147 @t297 @t191 @t260 @t284 @t283 @t281 @t280 @t279)) % 21.48/21.70 (define @t299 () (not (= @t12 @t164))) % 21.48/21.70 (define @t300 () (not (forall @t168 (or @t167 @t166 @t299 @t162 @t278)))) % 21.48/21.70 (define @t301 () (not (= @t1 (tptp.app (tptp.app @t274 @t12) @t273)))) % 21.48/21.70 (define @t302 () (not (= @t12 @t176))) % 21.48/21.70 (define @t303 () (not (forall @t180 (or @t179 @t178 @t302 @t174 @t282)))) % 21.48/21.70 (define @t304 () (= @t12 tptp.nil)) % 21.48/21.70 (define @t305 () (and @t259 @t304)) % 21.48/21.70 (define @t306 () (or @t132 @t225 @t132 @t123 @t305 @t284 @t303 @t281 @t301 @t300)) % 21.48/21.70 (define @t307 () (or @t225 @t132 @t123 @t305 @t284 @t303 @t281 @t301 @t300)) % 21.48/21.70 (define @t308 () (forall @t16 @t307)) % 21.48/21.70 (define @t309 () (forall @t286 @t308)) % 21.48/21.70 (define @t310 () (forall (@list @t274 @t273 @t12) @t307)) % 21.48/21.70 (define @t311 () (@list @t12 @t274 @t273)) % 21.48/21.70 (define @t312 () (or @t284 @t303 @t281 @t301 @t300)) % 21.48/21.70 (define @t313 () (or @t225 @t132 @t123 @t305 @t312)) % 21.48/21.70 (define @t314 () (forall @t311 @t313)) % 21.48/21.70 (define @t315 () (forall @t286 @t313)) % 21.48/21.70 (define @t316 () (forall @t286 @t312)) % 21.48/21.70 (define @t317 () (@var "BOUND_VARIABLE_11133" $$unsorted)) % 21.48/21.70 (define @t318 () (@var "BOUND_VARIABLE_11131" $$unsorted)) % 21.48/21.70 (define @t319 () (@list @t318 @t317)) % 21.48/21.70 (define @t320 () (or @t225 @t132 @t123 @t305 @t316)) % 21.48/21.70 (define @t321 () (not (forall @t168 (or @t167 @t166 @t299 @t162 (not (= @t161 @t317)))))) % 21.48/21.70 (define @t322 () (tptp.app (tptp.app @t318 @t12) @t317)) % 21.48/21.70 (define @t323 () (not (= @t1 @t322))) % 21.48/21.70 (define @t324 () (not (tptp.ssList @t317))) % 21.48/21.70 (define @t325 () (not (forall @t180 (or @t179 @t178 @t302 @t174 (not (= @t173 @t318)))))) % 21.48/21.70 (define @t326 () (not (tptp.ssList @t318))) % 21.48/21.70 (define @t327 () (or @t326 @t325 @t324 @t323 @t321)) % 21.48/21.70 (define @t328 () (@list @t318 @t317)) % 21.48/21.70 (define @t329 () (forall @t328 @t327)) % 21.48/21.70 (define @t330 () (or @t225 @t132 @t123 @t305 @t329)) % 21.48/21.70 (define @t331 () (forall @t16 @t330)) % 21.48/21.70 (define @t332 () (or @t86 @t157 @t331)) % 21.48/21.70 (define @t333 () (or @t86 @t157 @t330)) % 21.48/21.70 (define @t334 () (or @t225 @t132 @t86 @t123 @t157 @t305 @t329)) % 21.48/21.70 (define @t335 () (or @t132 @t86 @t123 @t157 @t305 @t329)) % 21.48/21.70 (define @t336 () (or @t157 @t305 @t329)) % 21.48/21.70 (define @t337 () (or @t157 @t305 @t327)) % 21.48/21.70 (define @t338 () (or @t157 @t305 @t326 @t325 @t324 @t323 @t321)) % 21.48/21.70 (define @t339 () (not (= @t1 @t1))) % 21.48/21.70 (define @t340 () (or @t157 @t339 @t305 @t326 @t325 @t324 @t323 @t321)) % 21.48/21.70 (define @t341 () (not (= @t10 @t322))) % 21.48/21.70 (define @t342 () (and (not (= @t10 tptp.nil)) @t304)) % 21.48/21.70 (define @t343 () (or @t133 @t134 @t133 @t342 @t326 @t325 @t324 @t341 @t321)) % 21.48/21.70 (define @t344 () (or @t134 @t133 @t342 @t326 @t325 @t324 @t341 @t321)) % 21.48/21.70 (define @t345 () (forall @t14 @t344)) % 21.48/21.70 (define @t346 () (forall @t328 @t345)) % 21.48/21.70 (define @t347 () (forall (@list @t318 @t317 @t10) @t344)) % 21.48/21.70 (define @t348 () (@list @t10 @t318 @t317)) % 21.48/21.70 (define @t349 () (not (= @t318 @t173))) % 21.48/21.70 (define @t350 () (or @t179 @t178 @t302 @t174 @t349)) % 21.48/21.70 (define @t351 () (forall @t180 @t350)) % 21.48/21.70 (define @t352 () (not @t351)) % 21.48/21.70 (define @t353 () (or @t134 @t133 @t342 @t326 @t352 @t324 @t341 @t321)) % 21.48/21.70 (define @t354 () (or @t326 @t352 @t324 @t341 @t321)) % 21.48/21.70 (define @t355 () (or @t134 @t133 @t342 @t354)) % 21.48/21.70 (define @t356 () (forall @t348 @t355)) % 21.48/21.70 (define @t357 () (forall @t328 @t355)) % 21.48/21.70 (define @t358 () (forall @t328 @t354)) % 21.48/21.70 (define @t359 () (@var "BOUND_VARIABLE_11096" $$unsorted)) % 21.48/21.70 (define @t360 () (or @t134 @t133 @t342 @t358)) % 21.48/21.70 (define @t361 () (not (= @t10 (tptp.app @t124 @t359)))) % 21.48/21.70 (define @t362 () (not (tptp.ssList @t359))) % 21.48/21.70 (define @t363 () (not (= @t28 @t173))) % 21.48/21.70 (define @t364 () (or @t179 @t178 @t302 @t174 @t363)) % 21.48/21.70 (define @t365 () (not (forall @t180 @t364))) % 21.48/21.70 (define @t366 () (not @t32)) % 21.48/21.70 (define @t367 () (@list @t28 @t359)) % 21.48/21.70 (define @t368 () (forall @t367 (or @t366 @t365 @t362 @t361 (not (forall @t168 (or @t167 @t166 @t299 @t162 (not (= @t161 @t359)))))))) % 21.48/21.70 (define @t369 () (or @t134 @t133 @t342 @t368)) % 21.48/21.70 (define @t370 () (forall @t14 @t369)) % 21.48/21.70 (define @t371 () (or @t132 @t86 @t123 @t370)) % 21.48/21.70 (define @t372 () (or @t132 @t86 @t123 @t369)) % 21.48/21.70 (define @t373 () (or @t134 @t133 @t132 @t86 @t342 @t123 @t368)) % 21.48/21.70 (define @t374 () (not (= @t359 @t161))) % 21.48/21.70 (define @t375 () (or @t167 @t166 @t299 @t162 @t374)) % 21.48/21.70 (define @t376 () (forall @t168 @t375)) % 21.48/21.70 (define @t377 () (not @t376)) % 21.48/21.70 (define @t378 () (or @t366 @t365 @t362 @t361 @t377)) % 21.48/21.70 (define @t379 () (or @t362 @t361 @t377)) % 21.48/21.70 (define @t380 () (or @t366 @t365 @t379)) % 21.48/21.70 (define @t381 () (forall @t367 @t380)) % 21.48/21.70 (define @t382 () (@list @t359)) % 21.48/21.70 (define @t383 () (forall @t382 @t380)) % 21.48/21.70 (define @t384 () (forall @t382 @t379)) % 21.48/21.70 (define @t385 () (or @t366 @t365 @t384)) % 21.48/21.70 (define @t386 () (not (= @t27 @t161))) % 21.48/21.70 (define @t387 () (or @t167 @t166 @t299 @t162 @t386)) % 21.48/21.70 (define @t388 () (not (forall @t168 @t387))) % 21.48/21.70 (define @t389 () (not (= @t10 @t125))) % 21.48/21.70 (define @t390 () (or @t127 @t389 @t388)) % 21.48/21.70 (define @t391 () (forall @t31 @t390)) % 21.48/21.70 (define @t392 () (or @t366 @t365 @t391)) % 21.48/21.70 (define @t393 () (forall @t33 @t392)) % 21.48/21.70 (define @t394 () (or @t123 @t393)) % 21.48/21.70 (define @t395 () (or @t123 @t392)) % 21.48/21.70 (define @t396 () (or @t366 @t123 @t365 @t391)) % 21.48/21.70 (define @t397 () (or @t123 @t365 @t391)) % 21.48/21.70 (define @t398 () (or @t123 @t365 @t390)) % 21.48/21.70 (define @t399 () (or @t127 @t389 @t123 @t365 @t388)) % 21.48/21.70 (define @t400 () (or @t162 @t386)) % 21.48/21.70 (define @t401 () (or @t166 @t299)) % 21.48/21.70 (define @t402 () (or @t167 @t401 @t400)) % 21.48/21.70 (define @t403 () (forall @t168 @t402)) % 21.48/21.70 (define @t404 () (forall (@list @t163 @t160) @t402)) % 21.48/21.70 (define @t405 () (forall (@list @t160) @t400)) % 21.48/21.70 (define @t406 () (forall (@list @t163) @t401)) % 21.48/21.70 (define @t407 () (or @t167 @t406 @t405)) % 21.48/21.70 (define @t408 () (= @t27 @t96)) % 21.48/21.70 (define @t409 () (not @t408)) % 21.48/21.70 (define @t410 () (not @t97)) % 21.48/21.70 (define @t411 () (or @t410 @t409)) % 21.48/21.70 (define @t412 () (forall @t99 @t411)) % 21.48/21.70 (define @t413 () (= @t12 @t90)) % 21.48/21.70 (define @t414 () (forall @t93 (or (not @t91) (not @t413)))) % 21.48/21.70 (define @t415 () (or @t167 @t414 @t412)) % 21.48/21.70 (define @t416 () (or @t414 @t412)) % 21.48/21.70 (define @t417 () (not @t416)) % 21.48/21.70 (define @t418 () (and @t101 @t417)) % 21.48/21.70 (define @t419 () (forall @t103 (not @t418))) % 21.48/21.70 (define @t420 () (not @t419)) % 21.48/21.70 (define @t421 () (or @t414 @t411)) % 21.48/21.70 (define @t422 () (or @t410 @t409 @t414)) % 21.48/21.70 (define @t423 () (not @t414)) % 21.48/21.70 (define @t424 () (not @t423)) % 21.48/21.70 (define @t425 () (or @t410 @t409 @t424)) % 21.48/21.70 (define @t426 () (and @t97 @t408 @t423)) % 21.48/21.70 (define @t427 () (forall @t99 (not @t426))) % 21.48/21.70 (define @t428 () (not @t427)) % 21.48/21.70 (define @t429 () (and @t91 @t413)) % 21.48/21.70 (define @t430 () (forall @t93 (not @t429))) % 21.48/21.70 (define @t431 () (not @t430)) % 21.48/21.70 (define @t432 () (or @t174 @t363)) % 21.48/21.70 (define @t433 () (or @t178 @t302)) % 21.48/21.70 (define @t434 () (or @t179 @t433 @t432)) % 21.48/21.70 (define @t435 () (forall @t180 @t434)) % 21.48/21.70 (define @t436 () (forall (@list @t175 @t172) @t434)) % 21.48/21.70 (define @t437 () (forall (@list @t172) @t432)) % 21.48/21.70 (define @t438 () (forall (@list @t175) @t433)) % 21.48/21.70 (define @t439 () (or @t179 @t438 @t437)) % 21.48/21.70 (define @t440 () (= @t28 @t114)) % 21.48/21.70 (define @t441 () (not @t440)) % 21.48/21.70 (define @t442 () (not @t115)) % 21.48/21.70 (define @t443 () (or @t442 @t441)) % 21.48/21.70 (define @t444 () (forall @t117 @t443)) % 21.48/21.70 (define @t445 () (= @t12 @t108)) % 21.48/21.70 (define @t446 () (forall @t111 (or (not @t109) (not @t445)))) % 21.48/21.70 (define @t447 () (or @t179 @t446 @t444)) % 21.48/21.70 (define @t448 () (or @t446 @t444)) % 21.48/21.70 (define @t449 () (not @t448)) % 21.48/21.70 (define @t450 () (and @t119 @t449)) % 21.48/21.70 (define @t451 () (forall @t121 (not @t450))) % 21.48/21.70 (define @t452 () (not @t451)) % 21.48/21.70 (define @t453 () (or @t446 @t443)) % 21.48/21.70 (define @t454 () (or @t442 @t441 @t446)) % 21.48/21.70 (define @t455 () (not @t446)) % 21.48/21.70 (define @t456 () (not @t455)) % 21.48/21.70 (define @t457 () (or @t442 @t441 @t456)) % 21.48/21.70 (define @t458 () (and @t115 @t440 @t455)) % 21.48/21.70 (define @t459 () (forall @t117 (not @t458))) % 21.48/21.70 (define @t460 () (not @t459)) % 21.48/21.70 (define @t461 () (and @t109 @t445)) % 21.48/21.70 (define @t462 () (forall @t111 (not @t461))) % 21.48/21.70 (define @t463 () (not @t462)) % 21.48/21.70 (define @t464 () (not (= @t161 @t227))) % 21.48/21.70 (define @t465 () (tptp.ssList @t227)) % 21.48/21.70 (define @t466 () (not @t465)) % 21.48/21.70 (define @t467 () (not (= @t173 @t196))) % 21.48/21.70 (define @t468 () (tptp.ssList @t196)) % 21.48/21.70 (define @t469 () (not @t468)) % 21.48/21.70 (define @t470 () (tptp.app @t197 @t227)) % 21.48/21.70 (define @t471 () (tptp.memberP @t470 @t229)) % 21.48/21.70 (define @t472 () (tptp.memberP @t195 @t229)) % 21.48/21.70 (define @t473 () (not @t472)) % 21.48/21.70 (define @t474 () (tptp.ssItem @t229)) % 21.48/21.70 (define @t475 () (not @t474)) % 21.48/21.70 (define @t476 () (not (= tptp.nil @t470))) % 21.48/21.70 (define @t477 () (not (tptp.ssList @t470))) % 21.48/21.70 (define @t478 () (not (tptp.equalelemsP @t195))) % 21.48/21.70 (define @t479 () (tptp.ssList @t195)) % 21.48/21.70 (define @t480 () (not @t479)) % 21.48/21.70 (define @t481 () (or @t480 @t478 @t477 (and @t476 (= tptp.nil @t195)) @t475 @t473 @t471 @t469 (not (forall @t180 (or @t179 @t178 (not (= @t176 @t195)) @t174 @t467))) @t466 (not (forall @t168 (or @t167 @t166 (not (= @t164 @t195)) @t162 @t464))))) % 21.48/21.70 (define @t482 () (not @t481)) % 21.48/21.70 (define @t483 () (not @t194)) % 21.48/21.70 (define @t484 () (not (= @t195 @t164))) % 21.48/21.70 (define @t485 () (or @t167 @t166 @t484 @t162 @t464)) % 21.48/21.70 (define @t486 () (forall @t168 @t485)) % 21.48/21.70 (define @t487 () (not @t486)) % 21.48/21.70 (define @t488 () (not (= @t195 @t176))) % 21.48/21.70 (define @t489 () (or @t179 @t178 @t488 @t174 @t467)) % 21.48/21.70 (define @t490 () (forall @t180 @t489)) % 21.48/21.70 (define @t491 () (not @t490)) % 21.48/21.70 (define @t492 () (and @t476 (= @t195 tptp.nil))) % 21.48/21.70 (define @t493 () (or @t480 @t478 @t477 @t492 @t475 @t473 @t471 @t469 @t491 @t466 @t487)) % 21.48/21.70 (define @t494 () (not @t493)) % 21.48/21.70 (define @t495 () (@list true)) % 21.48/21.70 (define @t496 () (@list @t481)) % 21.48/21.70 (define @t497 () (or (tptp.memberP @t196 @t229) @t472)) % 21.48/21.70 (define @t498 () (tptp.memberP @t197 @t229)) % 21.48/21.70 (define @t499 () (= @t498 @t497)) % 21.48/21.70 (define @t500 () (or @t475 @t469 @t480 @t499)) % 21.48/21.70 (define @t501 () (@list false false false false)) % 21.48/21.70 (define @t502 () (@list false)) % 21.48/21.70 (define @t503 () (@list false false)) % 21.48/21.70 (define @t504 () (= @t2 @t52)) % 21.48/21.70 (define @t505 () (tptp.app tptp.nil @t196)) % 21.48/21.70 (define @t506 () (= @t196 @t505)) % 21.48/21.70 (define @t507 () (or @t469 @t506)) % 21.48/21.70 (define @t508 () (tptp.app @t505 @t195)) % 21.48/21.70 (define @t509 () (@var "BOUND_VARIABLE_10614" $$unsorted)) % 21.48/21.70 (define @t510 () (@var "BOUND_VARIABLE_10612" $$unsorted)) % 21.48/21.70 (define @t511 () (= (tptp.app (tptp.app @t2 @t510) @t509) (tptp.app @t2 (tptp.app @t510 @t509)))) % 21.48/21.70 (define @t512 () (not (tptp.ssList @t509))) % 21.48/21.70 (define @t513 () (not (tptp.ssList @t510))) % 21.48/21.70 (define @t514 () (or @t513 @t512 @t511)) % 21.48/21.70 (define @t515 () (or @t147 @t514)) % 21.48/21.70 (define @t516 () (forall (@list @t2 @t510 @t509) @t515)) % 21.48/21.70 (define @t517 () (@list @t510 @t509)) % 21.48/21.70 (define @t518 () (forall @t517 @t515)) % 21.48/21.70 (define @t519 () (forall @t517 @t514)) % 21.48/21.70 (define @t520 () (@var "BOUND_VARIABLE_10594" $$unsorted)) % 21.48/21.70 (define @t521 () (or @t147 @t519)) % 21.48/21.70 (define @t522 () (= (tptp.app @t46 @t520) (tptp.app @t2 (tptp.app @t1 @t520)))) % 21.48/21.70 (define @t523 () (not (tptp.ssList @t520))) % 21.48/21.70 (define @t524 () (or @t157 @t523 @t522)) % 21.48/21.70 (define @t525 () (@list @t1 @t520)) % 21.48/21.70 (define @t526 () (forall @t525 @t524)) % 21.48/21.70 (define @t527 () (or @t523 @t522)) % 21.48/21.70 (define @t528 () (or @t157 @t527)) % 21.48/21.70 (define @t529 () (forall @t525 @t528)) % 21.48/21.70 (define @t530 () (@list @t520)) % 21.48/21.70 (define @t531 () (forall @t530 @t528)) % 21.48/21.70 (define @t532 () (forall @t530 @t527)) % 21.48/21.70 (define @t533 () (or @t157 @t532)) % 21.48/21.70 (define @t534 () (forall @t16 (or @t225 @t77))) % 21.48/21.70 (define @t535 () (= @t508 @t228)) % 21.48/21.70 (define @t536 () (not @t39)) % 21.48/21.70 (define @t537 () (or @t536 @t469 @t480 @t535)) % 21.48/21.70 (define @t538 () (tptp.memberP @t228 @t229)) % 21.48/21.70 (define @t539 () (or @t538 (tptp.memberP @t227 @t229))) % 21.48/21.70 (define @t540 () (tptp.app @t228 @t227)) % 21.48/21.70 (define @t541 () (tptp.memberP @t540 @t229)) % 21.48/21.70 (define @t542 () (= @t541 @t539)) % 21.48/21.70 (define @t543 () (not @t542)) % 21.48/21.70 (define @t544 () (@list true false)) % 21.48/21.70 (define @t545 () (tptp.ssList @t228)) % 21.48/21.70 (define @t546 () (not @t545)) % 21.48/21.70 (define @t547 () (or @t475 @t546 @t466 @t542)) % 21.48/21.70 (define @t548 () (tptp.ssList @t197)) % 21.48/21.70 (define @t549 () (not @t548)) % 21.48/21.70 (define @t550 () (or @t536 @t549 @t545)) % 21.48/21.70 (define @t551 () (or @t469 @t480 @t548)) % 21.48/21.70 (define @t552 () (not @t551)) % 21.48/21.70 (define @t553 () (forall @t151 @t148)) % 21.48/21.70 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 21.48/21.70 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 21.48/21.70 (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))))))))))) % 21.48/21.70 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 21.48/21.70 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 21.48/21.70 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 21.48/21.70 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 21.48/21.70 (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))))))))))))))))) % 21.48/21.70 (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)))))))))))))))) % 21.48/21.70 (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))))))))))))))))) % 21.48/21.70 (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))))))))))))))) % 21.48/21.70 (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))))))))))))))) % 21.48/21.70 (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)))))))))))))))) % 21.48/21.70 (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))))))))))))) % 21.48/21.70 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 21.48/21.70 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t38)))))) % 21.48/21.70 (assume @p17 @t39) % 21.48/21.70 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t38 @t2))))))) % 21.48/21.70 (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) @t40))))))))))) % 21.48/21.70 (assume @p20 (forall @t9 (=> @t17 (or @t42 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t41 @t2))))))))) % 21.48/21.70 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t38))))))) % 21.48/21.70 (assume @p22 (forall @t9 (=> @t17 (=> @t44 (tptp.ssItem @t43))))) % 21.48/21.70 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t38) @t1)))))) % 21.48/21.70 (assume @p24 (forall @t9 (=> @t17 (=> @t44 (tptp.ssList @t45))))) % 21.48/21.70 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t38) @t2)))))) % 21.48/21.70 (assume @p26 @t50) % 21.48/21.70 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t51) (tptp.app @t41 @t2))))))))) % 21.48/21.70 (assume @p28 @t54) % 21.48/21.70 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t56 @t55) @t3)))))) % 21.48/21.70 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 @t26) (tptp.leq @t2 @t12))))))))) % 21.48/21.70 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 21.48/21.70 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 @t55)))))) % 21.48/21.70 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t59 (not @t58))))))) % 21.48/21.70 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t59 @t35) @t60)))))))) % 21.48/21.70 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t61 @t58)))))) % 21.48/21.70 (assume @p36 @t69) % 21.48/21.70 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t62))))))))) % 21.48/21.70 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 21.48/21.70 (assume @p39 (not (tptp.singletonP tptp.nil))) % 21.48/21.70 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 21.48/21.70 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 21.48/21.70 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 21.48/21.70 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 21.48/21.70 (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)))))))))))) % 21.48/21.70 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 21.48/21.70 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t42)))) % 21.48/21.70 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 21.48/21.70 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 21.48/21.70 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 21.48/21.70 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t70 @t1))))))))) % 21.48/21.70 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 21.48/21.70 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t42)))) % 21.48/21.70 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 21.48/21.70 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 21.48/21.70 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 21.48/21.70 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t70 @t10) @t1))))))))))) % 21.48/21.70 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 21.48/21.70 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t42)))) % 21.48/21.70 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t71)))) % 21.48/21.70 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 21.48/21.70 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t71)))) % 21.48/21.70 (assume @p62 (tptp.totalorderP tptp.nil)) % 21.48/21.70 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t71)))) % 21.48/21.70 (assume @p64 (tptp.strictorderP tptp.nil)) % 21.48/21.70 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t71)))) % 21.48/21.70 (assume @p66 (tptp.totalorderedP tptp.nil)) % 21.48/21.70 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t75) (or @t73 (and @t74 (tptp.totalorderedP @t1) (tptp.leq @t2 @t72))))))))) % 21.48/21.70 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t71)))) % 21.48/21.70 (assume @p69 (tptp.strictorderedP tptp.nil)) % 21.48/21.70 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t75) (or @t73 (and @t74 (tptp.strictorderedP @t1) (tptp.lt @t2 @t72))))))))) % 21.48/21.70 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t71)))) % 21.48/21.70 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 21.48/21.70 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t71)))) % 21.48/21.70 (assume @p74 (tptp.equalelemsP tptp.nil)) % 21.48/21.70 (assume @p75 (forall @t9 (=> @t17 (=> @t44 (exists @t7 (and @t6 (= @t43 @t1))))))) % 21.48/21.70 (assume @p76 (forall @t9 (=> @t17 (=> @t44 (exists @t7 (and @t21 (= @t45 @t1))))))) % 21.48/21.70 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t74 @t44 (= @t72 @t43) (= (tptp.tl @t1) @t45)) @t40)))))) % 21.48/21.70 (assume @p78 (forall @t9 (=> @t17 (=> @t44 (= (tptp.cons @t43 @t45) @t2))))) % 21.48/21.70 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t46) @t76)))))))) % 21.48/21.70 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t51) @t76)))))))) % 21.48/21.70 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t38 (tptp.app @t18 @t2))))))) % 21.48/21.70 (assume @p82 @t82) % 21.48/21.70 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t46) (and @t73 @t42))))))) % 21.48/21.70 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 21.48/21.70 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t44 (= (tptp.hd @t46) @t43))))))) % 21.48/21.70 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t44 (= (tptp.tl @t46) (tptp.app @t45 @t1)))))))) % 21.48/21.70 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t57 (tptp.geq @t1 @t2)) @t3)))))) % 21.48/21.70 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t57 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 21.48/21.70 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 21.48/21.70 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 21.48/21.70 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 @t35) @t60)))))))) % 21.48/21.70 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t56 (or @t3 @t59))))))) % 21.48/21.70 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t59 (and @t4 @t56))))))) % 21.48/21.70 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t61 (not (tptp.gt @t1 @t2)))))))) % 21.48/21.70 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t61 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 21.48/21.70 (assume @p96 @t143) % 21.48/21.70 (assume @p97 true) % 21.48/21.70 (step @p98 :rule aci_norm :args ((= @t150 @t148))) % 21.48/21.70 (step @p99 :rule cong :premises (@p98) :args (@t152)) % 21.48/21.70 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t154) @t152))) % 21.48/21.70 (step @p101 :rule alpha_equiv :args (@t155 (@list @t144) (@list @t1))) % 21.48/21.70 (step @p102 :rule refl :args (@t147)) % 21.48/21.70 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t156)) % 21.48/21.70 (step @p104 :rule quant-miniscope-or :args ((= @t154 @t156))) % 21.48/21.70 (step @p105 :rule trans :premises (@p104 @p103)) % 21.48/21.70 (step @p106 :rule symm :premises (@p105)) % 21.48/21.70 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 (or @t147 @t158)))) % 21.48/21.70 (step @p108 :rule trans :premises (@p107 @p100)) % 21.48/21.70 (step @p109 :rule trans :premises (@p108 @p99)) % 21.48/21.70 (step @p110 :rule bool-impl-elim :args (@t17 @t158)) % 21.48/21.70 (step @p111 :rule cong :premises (@p110) :args ((forall @t9 (=> @t17 @t158)))) % 21.48/21.70 (step @p112 :rule trans :premises (@p111 @p109)) % 21.48/21.70 (step @p113 :rule bool-impl-elim :args (@t21 @t47)) % 21.48/21.70 (step @p114 :rule cong :premises (@p113) :args (@t48)) % 21.48/21.70 (step @p115 :rule refl :args (@t17)) % 21.48/21.70 (step @p116 :rule cong :premises (@p115 @p114) :args (@t49)) % 21.48/21.70 (step @p117 :rule cong :premises (@p116) :args (@t50)) % 21.48/21.70 (step @p118 :rule trans :premises (@p117 @p112)) % 21.48/21.70 (step @p119 :rule eq_resolve :premises (@p26 @p118)) % 21.48/21.70 (step @p120 :rule instantiate :premises (@p119) :args ((@list tptp.nil @t197))) % 21.48/21.70 (step @p121 :rule aci_norm :args ((= @t205 (or @t203 @t202 @t201 @t200)))) % 21.48/21.70 (step @p122 :rule cong :premises (@p121) :args (@t206)) % 21.48/21.70 (step @p123 :rule quant-merge-prenex :args ((= (forall @t9 @t208) @t206))) % 21.48/21.70 (step @p124 :rule alpha_equiv :args (@t209 (@list @t199 @t198) (@list @t1 @t210))) % 21.48/21.70 (step @p125 :rule refl :args (@t203)) % 21.48/21.70 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t211)) % 21.48/21.70 (step @p127 :rule quant-miniscope-or :args ((= @t208 @t211))) % 21.48/21.70 (step @p128 :rule trans :premises (@p127 @p126)) % 21.48/21.70 (step @p129 :rule symm :premises (@p128)) % 21.48/21.70 (step @p130 :rule cong :premises (@p129) :args ((forall @t9 (or @t203 @t216)))) % 21.48/21.70 (step @p131 :rule trans :premises (@p130 @p123)) % 21.48/21.70 (step @p132 :rule trans :premises (@p131 @p122)) % 21.48/21.70 (step @p133 :rule bool-impl-elim :args (@t8 @t216)) % 21.48/21.70 (step @p134 :rule cong :premises (@p133) :args ((forall @t9 (=> @t8 @t216)))) % 21.48/21.70 (step @p135 :rule trans :premises (@p134 @p132)) % 21.48/21.70 (step @p136 :rule aci_norm :args ((= @t218 @t214))) % 21.48/21.70 (step @p137 :rule cong :premises (@p136) :args (@t219)) % 21.48/21.70 (step @p138 :rule quant-merge-prenex :args ((= (forall @t7 @t221) @t219))) % 21.48/21.70 (step @p139 :rule alpha_equiv :args (@t222 (@list @t210) @t223)) % 21.48/21.70 (step @p140 :rule refl :args (@t157)) % 21.48/21.70 (step @p141 :rule nary_cong :premises (@p140 @p139) :args (@t224)) % 21.48/21.70 (step @p142 :rule quant-miniscope-or :args ((= @t221 @t224))) % 21.48/21.70 (step @p143 :rule trans :premises (@p142 @p141)) % 21.48/21.70 (step @p144 :rule symm :premises (@p143)) % 21.48/21.70 (step @p145 :rule cong :premises (@p144) :args ((forall @t7 (or @t157 @t226)))) % 21.48/21.70 (step @p146 :rule trans :premises (@p145 @p138)) % 21.48/21.70 (step @p147 :rule trans :premises (@p146 @p137)) % 21.48/21.70 (step @p148 :rule bool-impl-elim :args (@t21 @t226)) % 21.48/21.70 (step @p149 :rule cong :premises (@p148) :args ((forall @t7 (=> @t21 @t226)))) % 21.48/21.70 (step @p150 :rule trans :premises (@p149 @p147)) % 21.48/21.70 (step @p151 :rule bool-impl-elim :args (@t15 @t64)) % 21.48/21.70 (step @p152 :rule cong :premises (@p151) :args (@t65)) % 21.48/21.70 (step @p153 :rule refl :args (@t21)) % 21.48/21.70 (step @p154 :rule cong :premises (@p153 @p152) :args (@t66)) % 21.48/21.70 (step @p155 :rule cong :premises (@p154) :args (@t67)) % 21.48/21.70 (step @p156 :rule trans :premises (@p155 @p150)) % 21.48/21.70 (step @p157 :rule refl :args (@t8)) % 21.48/21.70 (step @p158 :rule cong :premises (@p157 @p156) :args (@t68)) % 21.48/21.70 (step @p159 :rule cong :premises (@p158) :args (@t69)) % 21.48/21.70 (step @p160 :rule trans :premises (@p159 @p135)) % 21.48/21.70 (step @p161 :rule eq_resolve :premises (@p36 @p160)) % 21.48/21.70 (step @p162 :rule instantiate :premises (@p161) :args ((@list @t229 @t228 @t227))) % 21.48/21.70 (step @p163 :rule instantiate :premises (@p161) :args ((@list @t229 @t196 @t195))) % 21.48/21.70 (step @p164 :rule aci_norm :args ((= @t231 @t192))) % 21.48/21.70 (step @p165 :rule cong :premises (@p164) :args (@t232)) % 21.48/21.70 (step @p166 :rule quant-merge-prenex :args ((= (forall @t9 @t234) @t232))) % 21.48/21.70 (step @p167 :rule alpha_equiv :args (@t235 (@list @t183 @t171 @t159) (@list @t238 @t237 @t236))) % 21.48/21.70 (step @p168 :rule refl :args (@t191)) % 21.48/21.70 (step @p169 :rule nary_cong :premises (@p102 @p168 @p167) :args (@t239)) % 21.48/21.70 (step @p170 :rule quant-miniscope-or :args ((= @t234 @t239))) % 21.48/21.70 (step @p171 :rule trans :premises (@p170 @p169)) % 21.48/21.70 (step @p172 :rule symm :premises (@p171)) % 21.48/21.70 (step @p173 :rule cong :premises (@p172) :args ((forall @t9 @t252))) % 21.48/21.70 (step @p174 :rule trans :premises (@p173 @p166)) % 21.48/21.70 (step @p175 :rule trans :premises (@p174 @p165)) % 21.48/21.70 (step @p176 :rule aci_norm :args ((= (or @t147 @t252) @t252))) % 21.48/21.70 (step @p177 :rule bool-impl-elim :args (@t17 @t252)) % 21.48/21.70 (step @p178 :rule trans :premises (@p177 @p176)) % 21.48/21.70 (step @p179 :rule cong :premises (@p178) :args ((forall @t9 (=> @t17 @t252)))) % 21.48/21.70 (step @p180 :rule trans :premises (@p179 @p175)) % 21.48/21.70 (step @p181 :rule aci_norm :args ((= (or @t249 @t248 @t247 @t246 @t245 @t243 @t242 @t241 false @t240) @t250))) % 21.48/21.70 (step @p182 :rule refl :args (@t240)) % 21.48/21.70 (step @p183 :rule evaluate :args ((not true))) % 21.48/21.70 (step @p184 :rule eq-refl :args (@t244)) % 21.48/21.70 (step @p185 :rule cong :premises (@p184) :args (@t253)) % 21.48/21.70 (step @p186 :rule trans :premises (@p185 @p183)) % 21.48/21.70 (step @p187 :rule refl :args (@t241)) % 21.48/21.70 (step @p188 :rule refl :args (@t242)) % 21.48/21.70 (step @p189 :rule refl :args (@t243)) % 21.48/21.70 (step @p190 :rule refl :args (@t245)) % 21.48/21.70 (step @p191 :rule refl :args (@t246)) % 21.48/21.70 (step @p192 :rule refl :args (@t247)) % 21.48/21.70 (step @p193 :rule refl :args (@t188)) % 21.48/21.70 (step @p194 :rule eq-symm :args (@t244 tptp.nil)) % 21.48/21.70 (step @p195 :rule cong :premises (@p194) :args (@t254)) % 21.48/21.70 (step @p196 :rule nary_cong :premises (@p195 @p193) :args (@t255)) % 21.48/21.70 (step @p197 :rule refl :args (@t249)) % 21.48/21.70 (step @p198 :rule nary_cong :premises (@p197 @p196 @p192 @p191 @p190 @p189 @p188 @p187 @p186 @p182) :args (@t256)) % 21.48/21.70 (step @p199 :rule trans :premises (@p198 @p181)) % 21.48/21.70 (step @p200 :rule cong :premises (@p199) :args ((forall @t251 @t256))) % 21.48/21.70 (step @p201 :rule quant-var-elim-eq :args ((= (forall @t7 @t261) @t256))) % 21.48/21.70 (step @p202 :rule aci_norm :args ((= @t262 @t261))) % 21.48/21.70 (step @p203 :rule cong :premises (@p202) :args (@t263)) % 21.48/21.70 (step @p204 :rule trans :premises (@p203 @p201)) % 21.48/21.70 (step @p205 :rule cong :premises (@p204) :args (@t264)) % 21.48/21.70 (step @p206 :rule quant-merge-prenex :args ((= @t264 @t265))) % 21.48/21.70 (step @p207 :rule symm :premises (@p206)) % 21.48/21.70 (step @p208 :rule quant_var_reordering :args ((= (forall @t266 @t262) @t265))) % 21.48/21.70 (step @p209 :rule trans :premises (@p208 @p207 @p205)) % 21.48/21.70 (step @p210 :rule trans :premises (@p209 @p200)) % 21.48/21.70 (step @p211 :rule aci_norm :args ((= @t269 @t262))) % 21.48/21.70 (step @p212 :rule cong :premises (@p211) :args (@t270)) % 21.48/21.70 (step @p213 :rule trans :premises (@p212 @p210)) % 21.48/21.70 (step @p214 :rule quant-merge-prenex :args ((= (forall @t7 @t271) @t270))) % 21.48/21.70 (step @p215 :rule alpha_equiv :args (@t272 (@list @t237 @t236) @t275)) % 21.48/21.70 (step @p216 :rule refl :args (@t260)) % 21.48/21.70 (step @p217 :rule alpha_equiv :args (@t276 (@list @t238) (@list @t85))) % 21.48/21.70 (step @p218 :rule nary_cong :premises (@p140 @p217 @p216 @p215) :args (@t277)) % 21.48/21.70 (step @p219 :rule quant-miniscope-or :args ((= @t271 @t277))) % 21.48/21.70 (step @p220 :rule trans :premises (@p219 @p218)) % 21.48/21.70 (step @p221 :rule symm :premises (@p220)) % 21.48/21.70 (step @p222 :rule cong :premises (@p221) :args (@t289)) % 21.48/21.70 (step @p223 :rule trans :premises (@p222 @p214)) % 21.48/21.70 (step @p224 :rule trans :premises (@p223 @p213)) % 21.48/21.70 (step @p225 :rule refl :args (@t191)) % 21.48/21.70 (step @p226 :rule refl :args (@t147)) % 21.48/21.70 (step @p227 :rule nary_cong :premises (@p226 @p225 @p224) :args (@t290)) % 21.48/21.70 (step @p228 :rule quant-miniscope-or :args ((= (forall @t7 @t291) @t290))) % 21.48/21.70 (step @p229 :rule aci_norm :args ((= @t292 @t291))) % 21.48/21.70 (step @p230 :rule cong :premises (@p229) :args ((forall @t7 @t292))) % 21.48/21.70 (step @p231 :rule trans :premises (@p230 @p228)) % 21.48/21.70 (step @p232 :rule trans :premises (@p231 @p227)) % 21.48/21.70 (step @p233 :rule aci_norm :args ((= (or @t157 @t293) @t292))) % 21.48/21.70 (step @p234 :rule bool-impl-elim :args (@t21 @t293)) % 21.48/21.70 (step @p235 :rule trans :premises (@p234 @p233)) % 21.48/21.70 (step @p236 :rule cong :premises (@p235) :args ((forall @t7 (=> @t21 @t293)))) % 21.48/21.70 (step @p237 :rule trans :premises (@p236 @p232)) % 21.48/21.70 (step @p238 :rule aci_norm :args ((= (or @t86 @t157 @t294) @t293))) % 21.48/21.70 (step @p239 :rule quant-miniscope-or :args ((= (forall @t286 @t295) @t294))) % 21.48/21.70 (step @p240 :rule aci_norm :args ((= @t296 @t295))) % 21.48/21.70 (step @p241 :rule cong :premises (@p240) :args ((forall @t286 @t296))) % 21.48/21.70 (step @p242 :rule trans :premises (@p241 @p239)) % 21.48/21.70 (step @p243 :rule aci_norm :args ((= (or @t147 false @t191 @t260 @t284 @t283 @t281 @t280 @t279) @t296))) % 21.48/21.70 (step @p244 :rule refl :args (@t279)) % 21.48/21.70 (step @p245 :rule refl :args (@t280)) % 21.48/21.70 (step @p246 :rule refl :args (@t281)) % 21.48/21.70 (step @p247 :rule refl :args (@t283)) % 21.48/21.70 (step @p248 :rule refl :args (@t284)) % 21.48/21.70 (step @p249 :rule refl :args (@t260)) % 21.48/21.70 (step @p250 :rule eq-refl :args (@t2)) % 21.48/21.70 (step @p251 :rule cong :premises (@p250) :args (@t297)) % 21.48/21.70 (step @p252 :rule trans :premises (@p251 @p183)) % 21.48/21.70 (step @p253 :rule nary_cong :premises (@p226 @p252 @p225 @p249 @p248 @p247 @p246 @p245 @p244) :args (@t298)) % 21.48/21.70 (step @p254 :rule trans :premises (@p253 @p243)) % 21.48/21.70 (step @p255 :rule cong :premises (@p254) :args ((forall @t286 @t298))) % 21.48/21.70 (step @p256 :rule trans :premises (@p255 @p242)) % 21.48/21.70 (step @p257 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t76) @t225 @t132 @t123 @t305 @t284 @t303 @t281 @t301 @t300)) @t298))) % 21.48/21.70 (step @p258 :rule refl :args (@t300)) % 21.48/21.70 (step @p259 :rule refl :args (@t301)) % 21.48/21.70 (step @p260 :rule refl :args (@t281)) % 21.48/21.70 (step @p261 :rule refl :args (@t303)) % 21.48/21.70 (step @p262 :rule refl :args (@t284)) % 21.48/21.70 (step @p263 :rule refl :args (@t305)) % 21.48/21.70 (step @p264 :rule refl :args (@t123)) % 21.48/21.70 (step @p265 :rule refl :args (@t132)) % 21.48/21.70 (step @p266 :rule refl :args (@t225)) % 21.48/21.70 (step @p267 :rule eq-symm :args (@t2 @t12)) % 21.48/21.70 (step @p268 :rule cong :premises (@p267) :args (@t132)) % 21.48/21.70 (step @p269 :rule nary_cong :premises (@p268 @p266 @p265 @p264 @p263 @p262 @p261 @p260 @p259 @p258) :args (@t306)) % 21.48/21.70 (step @p270 :rule aci_norm :args ((= @t307 @t306))) % 21.48/21.70 (step @p271 :rule trans :premises (@p270 @p269)) % 21.48/21.70 (step @p272 :rule cong :premises (@p271) :args (@t308)) % 21.48/21.70 (step @p273 :rule trans :premises (@p272 @p257)) % 21.48/21.70 (step @p274 :rule cong :premises (@p273) :args (@t309)) % 21.48/21.70 (step @p275 :rule quant-merge-prenex :args ((= @t309 @t310))) % 21.48/21.70 (step @p276 :rule symm :premises (@p275)) % 21.48/21.70 (step @p277 :rule quant_var_reordering :args ((= (forall @t311 @t307) @t310))) % 21.48/21.70 (step @p278 :rule trans :premises (@p277 @p276 @p274)) % 21.48/21.70 (step @p279 :rule trans :premises (@p278 @p256)) % 21.48/21.70 (step @p280 :rule aci_norm :args ((= @t313 @t307))) % 21.48/21.70 (step @p281 :rule cong :premises (@p280) :args (@t314)) % 21.48/21.70 (step @p282 :rule trans :premises (@p281 @p279)) % 21.48/21.70 (step @p283 :rule quant-merge-prenex :args ((= (forall @t16 @t315) @t314))) % 21.48/21.70 (step @p284 :rule alpha_equiv :args (@t316 @t275 @t319)) % 21.48/21.70 (step @p285 :rule nary_cong :premises (@p266 @p265 @p264 @p263 @p284) :args (@t320)) % 21.48/21.70 (step @p286 :rule quant-miniscope-or :args ((= @t315 @t320))) % 21.48/21.70 (step @p287 :rule trans :premises (@p286 @p285)) % 21.48/21.70 (step @p288 :rule symm :premises (@p287)) % 21.48/21.70 (step @p289 :rule cong :premises (@p288) :args (@t331)) % 21.48/21.70 (step @p290 :rule trans :premises (@p289 @p283)) % 21.48/21.70 (step @p291 :rule trans :premises (@p290 @p282)) % 21.48/21.70 (step @p292 :rule refl :args (@t157)) % 21.48/21.70 (step @p293 :rule refl :args (@t86)) % 21.48/21.70 (step @p294 :rule nary_cong :premises (@p293 @p292 @p291) :args (@t332)) % 21.48/21.70 (step @p295 :rule trans :premises (@p294 @p238)) % 21.48/21.70 (step @p296 :rule quant-miniscope-or :args ((= (forall @t16 @t333) @t332))) % 21.48/21.70 (step @p297 :rule aci_norm :args ((= @t334 @t333))) % 21.48/21.70 (step @p298 :rule cong :premises (@p297) :args ((forall @t16 @t334))) % 21.48/21.70 (step @p299 :rule trans :premises (@p298 @p296)) % 21.48/21.70 (step @p300 :rule trans :premises (@p299 @p295)) % 21.48/21.70 (step @p301 :rule aci_norm :args ((= (or @t225 @t335) @t334))) % 21.48/21.70 (step @p302 :rule bool-impl-elim :args (@t15 @t335)) % 21.48/21.70 (step @p303 :rule trans :premises (@p302 @p301)) % 21.48/21.70 (step @p304 :rule cong :premises (@p303) :args ((forall @t16 (=> @t15 @t335)))) % 21.48/21.70 (step @p305 :rule trans :premises (@p304 @p300)) % 21.48/21.70 (step @p306 :rule aci_norm :args ((= (or @t132 @t86 @t123 @t336) @t335))) % 21.48/21.70 (step @p307 :rule 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:rule nary_cong :premises (@p436 @p435 @p434) :args (@t407)) % 21.48/21.70 (step @p438 :rule quant-miniscope-or :args ((= @t404 @t407))) % 21.48/21.70 (step @p439 :rule trans :premises (@p438 @p437)) % 21.48/21.70 (step @p440 :rule symm :premises (@p439)) % 21.48/21.70 (step @p441 :rule cong :premises (@p440) :args ((forall @t103 @t415))) % 21.48/21.70 (step @p442 :rule trans :premises (@p441 @p433)) % 21.48/21.70 (step @p443 :rule trans :premises (@p442 @p432)) % 21.48/21.70 (step @p444 :rule aci_norm :args ((= (or @t167 @t416) @t415))) % 21.48/21.70 (step @p445 :rule bool-double-not-elim :args (@t416)) % 21.48/21.70 (step @p446 :rule nary_cong :premises (@p436 @p445) :args ((or @t167 (not @t417)))) % 21.48/21.70 (step @p447 :rule bool-and-de-morgan :args (@t101 @t417 true)) % 21.48/21.70 (step @p448 :rule trans :premises (@p447 @p446)) % 21.48/21.70 (step @p449 :rule trans :premises (@p448 @p444)) % 21.48/21.70 (step @p450 :rule cong :premises (@p449) :args (@t419)) % 21.48/21.70 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% 21.48/21.71 (step @p535 :rule cong :premises (@p534) :args (@t460)) % 21.48/21.71 (step @p536 :rule exists-elim :args ((= (exists @t117 @t458) @t460))) % 21.48/21.71 (step @p537 :rule trans :premises (@p536 @p535)) % 21.48/21.71 (step @p538 :rule bool-and-de-morgan :args (@t109 @t445 true)) % 21.48/21.71 (step @p539 :rule cong :premises (@p538) :args (@t462)) % 21.48/21.71 (step @p540 :rule cong :premises (@p539) :args (@t463)) % 21.48/21.71 (step @p541 :rule exists-elim :args ((= (exists @t111 @t461) @t463))) % 21.48/21.71 (step @p542 :rule trans :premises (@p541 @p540)) % 21.48/21.71 (step @p543 :rule eq-symm :args (@t108 @t12)) % 21.48/21.71 (step @p544 :rule refl :args (@t109)) % 21.48/21.71 (step @p545 :rule nary_cong :premises (@p544 @p543) :args (@t110)) % 21.48/21.71 (step @p546 :rule cong :premises (@p545) :args (@t112)) % 21.48/21.71 (step @p547 :rule trans :premises (@p546 @p542)) % 21.48/21.71 (step @p548 :rule eq-symm :args (@t114 @t28)) % 21.48/21.71 (step @p549 :rule refl :args (@t115)) % 21.48/21.71 (step @p550 :rule nary_cong :premises (@p549 @p548 @p547) :args (@t116)) % 21.48/21.71 (step @p551 :rule cong :premises (@p550) :args (@t118)) % 21.48/21.71 (step @p552 :rule trans :premises (@p551 @p537)) % 21.48/21.71 (step @p553 :rule refl :args (@t119)) % 21.48/21.71 (step @p554 :rule nary_cong :premises (@p553 @p552) :args (@t120)) % 21.48/21.71 (step @p555 :rule cong :premises (@p554) :args (@t122)) % 21.48/21.71 (step @p556 :rule trans :premises (@p555 @p517)) % 21.48/21.71 (step @p557 :rule eq-symm :args (@t125 @t10)) % 21.48/21.71 (step @p558 :rule cong :premises (@p557) :args (@t126)) % 21.48/21.71 (step @p559 :rule refl :args (@t127)) % 21.48/21.71 (step @p560 :rule nary_cong :premises (@p559 @p558 @p374 @p556 @p493) :args (@t128)) % 21.48/21.71 (step @p561 :rule cong :premises (@p560) :args (@t129)) % 21.48/21.71 (step @p562 :rule trans :premises (@p561 @p430)) % 21.48/21.71 (step @p563 :rule refl :args (@t32)) % 21.48/21.71 (step @p564 :rule cong :premises (@p563 @p562) :args (@t130)) % 21.48/21.71 (step @p565 :rule cong :premises (@p564) :args (@t131)) % 21.48/21.71 (step @p566 :rule trans :premises (@p565 @p426)) % 21.48/21.71 (step @p567 :rule nary_cong :premises (@p359 @p358 @p375 @p566 @p293 @p387) :args (@t135)) % 21.48/21.71 (step @p568 :rule trans :premises (@p567 @p383)) % 21.48/21.71 (step @p569 :rule cong :premises (@p568) :args (@t136)) % 21.48/21.71 (step @p570 :rule trans :premises (@p569 @p382)) % 21.48/21.71 (step @p571 :rule refl :args (@t15)) % 21.48/21.71 (step @p572 :rule cong :premises (@p571 @p570) :args (@t137)) % 21.48/21.71 (step @p573 :rule cong :premises (@p572) :args (@t138)) % 21.48/21.71 (step @p574 :rule trans :premises (@p573 @p305)) % 21.48/21.71 (step @p575 :rule cong :premises (@p153 @p574) :args (@t139)) % 21.48/21.71 (step @p576 :rule cong :premises (@p575) :args (@t140)) % 21.48/21.71 (step @p577 :rule trans :premises (@p576 @p237)) % 21.48/21.71 (step @p578 :rule cong :premises (@p115 @p577) :args (@t141)) % 21.48/21.71 (step @p579 :rule cong :premises (@p578) :args (@t142)) % 21.48/21.71 (step @p580 :rule trans :premises (@p579 @p180)) % 21.48/21.71 (step @p581 :rule cong :premises (@p580) :args (@t143)) % 21.48/21.71 (step @p582 :rule eq_resolve :premises (@p96 @p581)) % 21.48/21.71 (step @p583 :rule refl :args (@t482)) % 21.48/21.71 (step @p584 :rule bool-double-not-elim :args (@t194)) % 21.48/21.71 (step @p585 :rule nary_cong :premises (@p584 @p583) :args ((or (not @t483) @t482))) % 21.48/21.71 (step @p586 :rule refl :args (@t464)) % 21.48/21.71 (step @p587 :rule eq-symm :args (@t195 @t164)) % 21.48/21.71 (step @p588 :rule cong :premises (@p587) :args (@t484)) % 21.48/21.71 (step @p589 :rule nary_cong :premises (@p393 @p392 @p588 @p390 @p586) :args (@t485)) % 21.48/21.71 (step @p590 :rule cong :premises (@p589) :args (@t486)) % 21.48/21.71 (step @p591 :rule cong :premises (@p590) :args (@t487)) % 21.48/21.71 (step @p592 :rule refl :args (@t466)) % 21.48/21.71 (step @p593 :rule refl :args (@t467)) % 21.48/21.71 (step @p594 :rule eq-symm :args (@t195 @t176)) % 21.48/21.71 (step @p595 :rule cong :premises (@p594) :args (@t488)) % 21.48/21.71 (step @p596 :rule nary_cong :premises (@p353 @p352 @p595 @p350 @p593) :args (@t489)) % 21.48/21.71 (step @p597 :rule cong :premises (@p596) :args (@t490)) % 21.48/21.71 (step @p598 :rule cong :premises (@p597) :args (@t491)) % 21.48/21.71 (step @p599 :rule refl :args (@t469)) % 21.48/21.71 (step @p600 :rule refl :args (@t471)) % 21.48/21.71 (step @p601 :rule refl :args (@t473)) % 21.48/21.71 (step @p602 :rule refl :args (@t475)) % 21.48/21.71 (step @p603 :rule eq-symm :args (@t195 tptp.nil)) % 21.48/21.71 (step @p604 :rule refl :args (@t476)) % 21.48/21.71 (step @p605 :rule nary_cong :premises (@p604 @p603) :args (@t492)) % 21.48/21.71 (step @p606 :rule refl :args (@t477)) % 21.48/21.71 (step @p607 :rule refl :args (@t478)) % 21.48/21.71 (step @p608 :rule refl :args (@t480)) % 21.48/21.71 (step @p609 :rule nary_cong :premises (@p608 @p607 @p606 @p605 @p602 @p601 @p600 @p599 @p598 @p592 @p591) :args (@t493)) % 21.48/21.71 (step @p610 :rule cong :premises (@p609) :args (@t494)) % 21.48/21.71 (step @p611 :rule refl :args (@t483)) % 21.48/21.71 (step @p612 :rule cong :premises (@p611 @p610) :args ((=> @t483 @t494))) % 21.48/21.71 (assume-push @p751 @t483) % 21.48/21.71 (step @p614 :rule skolemize :premises (@p582)) % 21.48/21.71 (step-pop @p752 :rule scope :premises (@p614)) % 21.48/21.71 (step @p615 :rule process_scope :premises (@p752) :args (@t494)) % 21.48/21.71 (step @p617 :rule eq_resolve :premises (@p615 @p612)) % 21.48/21.71 (step @p618 :rule implies_elim :premises (@p617)) % 21.48/21.71 (step @p619 :rule eq_resolve :premises (@p618 @p585)) % 21.48/21.71 (step @p620 :rule chain_m_resolution :premises (@p619 @p582) :args (@t482 @t495 (@list @t194))) % 21.48/21.71 (step @p621 :rule bool-double-not-elim :args (@t468)) % 21.48/21.71 (step @p622 :rule refl :args (@t481)) % 21.48/21.71 (step @p623 :rule nary_cong :premises (@p622 @p621) :args ((or @t481 (not @t469)))) % 21.48/21.71 (step @p624 :rule cnf_or_neg :args (@t481 7)) % 21.48/21.71 (step @p625 :rule eq_resolve :premises (@p624 @p623)) % 21.48/21.71 (step @p626 :rule reordering :premises (@p625) :args ((or @t468 @t481))) % 21.48/21.71 (step @p627 :rule chain_m_resolution :premises (@p626 @p620) :args (@t468 @t495 @t496)) % 21.48/21.71 (step @p628 :rule bool-double-not-elim :args (@t474)) % 21.48/21.71 (step @p629 :rule nary_cong :premises (@p622 @p628) :args ((or @t481 (not @t475)))) % 21.48/21.71 (step @p630 :rule cnf_or_neg :args (@t481 4)) % 21.48/21.71 (step @p631 :rule eq_resolve :premises (@p630 @p629)) % 21.48/21.71 (step @p632 :rule reordering :premises (@p631) :args ((or @t474 @t481))) % 21.48/21.71 (step @p633 :rule chain_m_resolution :premises (@p632 @p620) :args (@t474 @t495 @t496)) % 21.48/21.71 (step @p634 :rule bool-double-not-elim :args (@t479)) % 21.48/21.71 (step @p635 :rule nary_cong :premises (@p622 @p634) :args ((or @t481 (not @t480)))) % 21.48/21.71 (step @p636 :rule cnf_or_neg :args (@t481 0)) % 21.48/21.71 (step @p637 :rule eq_resolve :premises (@p636 @p635)) % 21.48/21.71 (step @p638 :rule reordering :premises (@p637) :args ((or @t479 @t481))) % 21.48/21.71 (step @p639 :rule chain_m_resolution :premises (@p638 @p620) :args (@t479 @t495 @t496)) % 21.48/21.71 (step @p640 :rule cnf_or_pos :args (@t500)) % 21.48/21.71 (step @p641 :rule reordering :premises (@p640) :args ((or @t480 @t475 @t469 @t499 (not @t500)))) % 21.48/21.71 (step @p642 :rule chain_m_resolution :premises (@p641 @p639 @p633 @p627 @p163) :args (@t499 @t501 (@list @t479 @t474 @t468 @t500))) % 21.48/21.71 (step @p643 :rule bool-double-not-elim :args (@t472)) % 21.48/21.71 (step @p644 :rule nary_cong :premises (@p622 @p643) :args ((or @t481 (not @t473)))) % 21.48/21.71 (step @p645 :rule cnf_or_neg :args (@t481 5)) % 21.48/21.71 (step @p646 :rule eq_resolve :premises (@p645 @p644)) % 21.48/21.71 (step @p647 :rule reordering :premises (@p646) :args ((or @t472 @t481))) % 21.48/21.71 (step @p648 :rule chain_m_resolution :premises (@p647 @p620) :args (@t472 @t495 @t496)) % 21.48/21.71 (step @p649 :rule cnf_or_neg :args (@t497 1)) % 21.48/21.71 (step @p650 :rule reordering :premises (@p649) :args ((or @t473 @t497))) % 21.48/21.71 (step @p651 :rule chain_m_resolution :premises (@p650 @p648) :args (@t497 @t502 (@list @t472))) % 21.48/21.71 (step @p652 :rule cnf_equiv_pos2 :args (@t499)) % 21.48/21.71 (step @p653 :rule reordering :premises (@p652) :args ((or @t498 (not @t497) (not @t499)))) % 21.48/21.71 (step @p654 :rule chain_m_resolution :premises (@p653 @p651 @p642) :args (@t498 @t503 (@list @t497 @t499))) % 21.48/21.71 (step @p655 :rule true_intro :premises (@p654)) % 21.48/21.71 (step @p656 :rule refl :args (@t229)) % 21.48/21.71 (step @p657 :rule refl :args (@t195)) % 21.48/21.71 (step @p658 :rule bool-impl-elim :args (@t17 @t504)) % 21.48/21.71 (step @p659 :rule cong :premises (@p658) :args ((forall @t9 (=> @t17 @t504)))) % 21.48/21.71 (step @p660 :rule eq-symm :args (@t52 @t2)) % 21.48/21.71 (step @p661 :rule cong :premises (@p115 @p660) :args (@t53)) % 21.48/21.71 (step @p662 :rule cong :premises (@p661) :args (@t54)) % 21.48/21.71 (step @p663 :rule trans :premises (@p662 @p659)) % 21.48/21.71 (step @p664 :rule eq_resolve :premises (@p28 @p663)) % 21.48/21.71 (step @p665 :rule instantiate :premises (@p664) :args ((@list @t196))) % 21.48/21.71 (step @p666 :rule cnf_or_pos :args (@t507)) % 21.48/21.71 (step @p667 :rule reordering :premises (@p666) :args ((or @t469 @t506 (not @t507)))) % 21.48/21.71 (step @p668 :rule chain_m_resolution :premises (@p667 @p627 @p665) :args (@t506 @t503 (@list @t468 @t507))) % 21.48/21.71 (step @p669 :rule symm :premises (@p668)) % 21.48/21.71 (step @p670 :rule cong :premises (@p669 @p657) :args (@t508)) % 21.48/21.71 (step @p671 :rule aci_norm :args ((= @t515 (or @t147 @t513 @t512 @t511)))) % 21.48/21.71 (step @p672 :rule cong :premises (@p671) :args (@t516)) % 21.48/21.71 (step @p673 :rule quant-merge-prenex :args ((= (forall @t9 @t518) @t516))) % 21.48/21.71 (step @p674 :rule alpha_equiv :args (@t519 (@list @t510 @t509) (@list @t1 @t520))) % 21.48/21.71 (step @p675 :rule nary_cong :premises (@p102 @p674) :args (@t521)) % 21.48/21.71 (step @p676 :rule quant-miniscope-or :args ((= @t518 @t521))) % 21.48/21.71 (step @p677 :rule trans :premises (@p676 @p675)) % 21.48/21.71 (step @p678 :rule symm :premises (@p677)) % 21.48/21.71 (step @p679 :rule cong :premises (@p678) :args ((forall @t9 (or @t147 @t526)))) % 21.48/21.71 (step @p680 :rule trans :premises (@p679 @p673)) % 21.48/21.71 (step @p681 :rule trans :premises (@p680 @p672)) % 21.48/21.71 (step @p682 :rule bool-impl-elim :args (@t17 @t526)) % 21.48/21.71 (step @p683 :rule cong :premises (@p682) :args ((forall @t9 (=> @t17 @t526)))) % 21.48/21.71 (step @p684 :rule trans :premises (@p683 @p681)) % 21.48/21.71 (step @p685 :rule aci_norm :args ((= @t528 @t524))) % 21.48/21.71 (step @p686 :rule cong :premises (@p685) :args (@t529)) % 21.48/21.71 (step @p687 :rule quant-merge-prenex :args ((= (forall @t7 @t531) @t529))) % 21.48/21.71 (step @p688 :rule alpha_equiv :args (@t532 (@list @t520) @t223)) % 21.48/21.71 (step @p689 :rule nary_cong :premises (@p140 @p688) :args (@t533)) % 21.48/21.71 (step @p690 :rule quant-miniscope-or :args ((= @t531 @t533))) % 21.48/21.71 (step @p691 :rule trans :premises (@p690 @p689)) % 21.48/21.71 (step @p692 :rule symm :premises (@p691)) % 21.48/21.71 (step @p693 :rule cong :premises (@p692) :args ((forall @t7 (or @t157 @t534)))) % 21.48/21.71 (step @p694 :rule trans :premises (@p693 @p687)) % 21.48/21.71 (step @p695 :rule trans :premises (@p694 @p686)) % 21.48/21.71 (step @p696 :rule bool-impl-elim :args (@t21 @t534)) % 21.48/21.71 (step @p697 :rule cong :premises (@p696) :args ((forall @t7 (=> @t21 @t534)))) % 21.48/21.71 (step @p698 :rule trans :premises (@p697 @p695)) % 21.48/21.71 (step @p699 :rule bool-impl-elim :args (@t15 @t77)) % 21.48/21.71 (step @p700 :rule cong :premises (@p699) :args (@t78)) % 21.48/21.71 (step @p701 :rule cong :premises (@p153 @p700) :args (@t79)) % 21.48/21.71 (step @p702 :rule cong :premises (@p701) :args (@t80)) % 21.48/21.71 (step @p703 :rule trans :premises (@p702 @p698)) % 21.48/21.71 (step @p704 :rule cong :premises (@p115 @p703) :args (@t81)) % 21.48/21.71 (step @p705 :rule cong :premises (@p704) :args (@t82)) % 21.48/21.71 (step @p706 :rule trans :premises (@p705 @p684)) % 21.48/21.71 (step @p707 :rule eq_resolve :premises (@p82 @p706)) % 21.48/21.71 (step @p708 :rule instantiate :premises (@p707) :args ((@list tptp.nil @t196 @t195))) % 21.48/21.71 (step @p709 :rule cnf_or_pos :args (@t537)) % 21.48/21.71 (step @p710 :rule reordering :premises (@p709) :args ((or @t536 @t480 @t469 @t535 (not @t537)))) % 21.48/21.71 (step @p711 :rule chain_m_resolution :premises (@p710 @p17 @p639 @p627 @p708) :args (@t535 @t501 (@list @t39 @t479 @t468 @t537))) % 21.48/21.71 (step @p712 :rule symm :premises (@p711)) % 21.48/21.71 (step @p713 :rule trans :premises (@p712 @p670)) % 21.48/21.71 (step @p714 :rule cong :premises (@p713 @p656) :args (@t538)) % 21.48/21.71 (step @p715 :rule trans :premises (@p714 @p655)) % 21.48/21.71 (step @p716 :rule true_elim :premises (@p715)) % 21.48/21.71 (step @p717 :rule cnf_or_neg :args (@t539 0)) % 21.48/21.71 (step @p718 :rule chain_m_resolution :premises (@p717 @p716) :args (@t539 @t502 (@list @t538))) % 21.48/21.71 (step @p719 :rule cnf_or_neg :args (@t481 6)) % 21.48/21.71 (step @p720 :rule chain_m_resolution :premises (@p719 @p620) :args ((not @t471) @t495 @t496)) % 21.48/21.71 (step @p721 :rule false_intro :premises (@p720)) % 21.48/21.71 (step @p722 :rule refl :args (@t227)) % 21.48/21.71 (step @p723 :rule cong :premises (@p713 @p722) :args (@t540)) % 21.48/21.71 (step @p724 :rule cong :premises (@p723 @p656) :args (@t541)) % 21.48/21.71 (step @p725 :rule trans :premises (@p724 @p721)) % 21.48/21.71 (step @p726 :rule false_elim :premises (@p725)) % 21.48/21.71 (step @p727 :rule cnf_equiv_pos2 :args (@t542)) % 21.48/21.71 (step @p728 :rule reordering :premises (@p727) :args ((or @t541 (not @t539) @t543))) % 21.48/21.71 (step @p729 :rule chain_m_resolution :premises (@p728 @p726 @p718) :args (@t543 @t544 (@list @t541 @t539))) % 21.48/21.71 (step @p730 :rule bool-double-not-elim :args (@t465)) % 21.48/21.71 (step @p731 :rule nary_cong :premises (@p622 @p730) :args ((or @t481 (not @t466)))) % 21.48/21.71 (step @p732 :rule cnf_or_neg :args (@t481 9)) % 21.48/21.71 (step @p733 :rule eq_resolve :premises (@p732 @p731)) % 21.48/21.71 (step @p734 :rule reordering :premises (@p733) :args ((or @t465 @t481))) % 21.48/21.71 (step @p735 :rule chain_m_resolution :premises (@p734 @p620) :args (@t465 @t495 @t496)) % 21.48/21.71 (step @p736 :rule cnf_or_pos :args (@t547)) % 21.48/21.71 (step @p737 :rule reordering :premises (@p736) :args ((or @t475 @t466 @t546 @t542 (not @t547)))) % 21.48/21.71 (step @p738 :rule chain_m_resolution :premises (@p737 @p633 @p735 @p729 @p162) :args (@t546 (@list false false true false) (@list @t474 @t465 @t542 @t547))) % 21.48/21.71 (step @p739 :rule cnf_or_pos :args (@t550)) % 21.48/21.71 (step @p740 :rule reordering :premises (@p739) :args ((or @t536 @t549 @t545 (not @t550)))) % 21.48/21.71 (step @p741 :rule chain_m_resolution :premises (@p740 @p17 @p738 @p120) :args (@t549 (@list false true false) (@list @t39 @t545 @t550))) % 21.48/21.71 (step @p742 :rule cnf_or_pos :args (@t551)) % 21.48/21.71 (step @p743 :rule reordering :premises (@p742) :args ((or @t480 @t469 @t548 @t552))) % 21.48/21.71 (step @p744 :rule chain_m_resolution :premises (@p743 @p639 @p627 @p741) :args (@t552 (@list false false true) (@list @t479 @t468 @t548))) % 21.48/21.71 (assume-push @p753 @t553) % 21.48/21.71 (step @p746 :rule instantiate :premises (@p119) :args ((@list @t196 @t195))) % 21.48/21.71 (step-pop @p754 :rule scope :premises (@p746)) % 21.48/21.71 (step @p747 :rule process_scope :premises (@p754) :args (@t551)) % 21.48/21.71 (step @p749 :rule implies_elim :premises (@p747)) % 21.48/21.71 (step @p750 false :rule chain_m_resolution :premises (@p749 @p744 @p119) :args (false @t544 (@list @t551 @t553))) % 21.48/21.71 ) % 21.48/21.71 % SZS output end Proof % 21.48/21.71 % cvc5 exiting %------------------------------------------------------------------------------