%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC279+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 : n019.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 08:58:42 AM UTC 2026 % Result : Theorem 15.63s 15.95s % Output : Proof 15.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC279+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.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 19:36:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 15.63/15.95 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.63/15.95 --- Run --no-e-matching --full-saturate-quant at 6... % 15.63/15.95 % SZS status Theorem % 15.63/15.95 % SZS output start Proof % 15.63/15.95 ( % 15.63/15.95 (declare-sort $$unsorted 0) % 15.63/15.95 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 15.63/15.95 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 15.63/15.95 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 15.63/15.95 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 15.63/15.95 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 15.63/15.95 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 15.63/15.95 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 15.63/15.95 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 15.63/15.95 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 15.63/15.95 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 15.63/15.95 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 15.63/15.95 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 15.63/15.95 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 15.63/15.95 (declare-const tptp.nil $$unsorted) % 15.63/15.95 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 15.63/15.95 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 15.63/15.95 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 15.63/15.95 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 15.63/15.95 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 15.63/15.95 (declare-const tptp.ssList (-> $$unsorted Bool)) % 15.63/15.95 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 15.63/15.95 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 15.63/15.95 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 15.63/15.95 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 15.63/15.95 (define @t1 () (@var "V" $$unsorted)) % 15.63/15.95 (define @t2 () (@var "U" $$unsorted)) % 15.63/15.95 (define @t3 () (= @t2 @t1)) % 15.63/15.95 (define @t4 () (not @t3)) % 15.63/15.95 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 15.63/15.95 (define @t6 () (tptp.ssItem @t1)) % 15.63/15.95 (define @t7 () (@list @t1)) % 15.63/15.95 (define @t8 () (tptp.ssItem @t2)) % 15.63/15.95 (define @t9 () (@list @t2)) % 15.63/15.95 (define @t10 () (@var "X" $$unsorted)) % 15.63/15.95 (define @t11 () (tptp.cons @t1 @t10)) % 15.63/15.95 (define @t12 () (@var "W" $$unsorted)) % 15.63/15.95 (define @t13 () (tptp.ssList @t10)) % 15.63/15.95 (define @t14 () (@list @t10)) % 15.63/15.95 (define @t15 () (tptp.ssList @t12)) % 15.63/15.95 (define @t16 () (@list @t12)) % 15.63/15.95 (define @t17 () (tptp.ssList @t2)) % 15.63/15.95 (define @t18 () (tptp.cons @t1 tptp.nil)) % 15.63/15.95 (define @t19 () (tptp.app @t1 @t12)) % 15.63/15.95 (define @t20 () (tptp.frontsegP @t2 @t1)) % 15.63/15.95 (define @t21 () (tptp.ssList @t1)) % 15.63/15.95 (define @t22 () (tptp.app @t12 @t1)) % 15.63/15.95 (define @t23 () (tptp.rearsegP @t2 @t1)) % 15.63/15.95 (define @t24 () (tptp.segmentP @t2 @t1)) % 15.63/15.95 (define @t25 () (tptp.leq @t12 @t1)) % 15.63/15.95 (define @t26 () (tptp.leq @t1 @t12)) % 15.63/15.95 (define @t27 () (@var "Z" $$unsorted)) % 15.63/15.95 (define @t28 () (@var "Y" $$unsorted)) % 15.63/15.95 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 15.63/15.95 (define @t30 () (tptp.ssList @t27)) % 15.63/15.95 (define @t31 () (@list @t27)) % 15.63/15.95 (define @t32 () (tptp.ssList @t28)) % 15.63/15.95 (define @t33 () (@list @t28)) % 15.63/15.95 (define @t34 () (tptp.ssItem @t12)) % 15.63/15.95 (define @t35 () (tptp.lt @t1 @t12)) % 15.63/15.95 (define @t36 () (= @t1 @t12)) % 15.63/15.95 (define @t37 () (tptp.cons @t1 @t2)) % 15.63/15.95 (define @t38 () (= @t1 @t2)) % 15.63/15.95 (define @t39 () (tptp.cons @t12 @t1)) % 15.63/15.95 (define @t40 () (= tptp.nil @t2)) % 15.63/15.95 (define @t41 () (tptp.hd @t2)) % 15.63/15.95 (define @t42 () (not @t40)) % 15.63/15.95 (define @t43 () (tptp.tl @t2)) % 15.63/15.95 (define @t44 () (tptp.app @t2 @t1)) % 15.63/15.95 (define @t45 () (tptp.app @t1 @t2)) % 15.63/15.95 (define @t46 () (tptp.leq @t1 @t2)) % 15.63/15.95 (define @t47 () (tptp.leq @t2 @t1)) % 15.63/15.95 (define @t48 () (tptp.geq @t2 @t1)) % 15.63/15.95 (define @t49 () (tptp.lt @t1 @t2)) % 15.63/15.95 (define @t50 () (tptp.lt @t2 @t1)) % 15.63/15.95 (define @t51 () (tptp.lt @t2 @t12)) % 15.63/15.95 (define @t52 () (tptp.gt @t2 @t1)) % 15.63/15.95 (define @t53 () (tptp.memberP @t12 @t2)) % 15.63/15.95 (define @t54 () (tptp.app @t12 @t2)) % 15.63/15.95 (define @t55 () (tptp.cons @t2 tptp.nil)) % 15.63/15.95 (define @t56 () (tptp.hd @t1)) % 15.63/15.95 (define @t57 () (= tptp.nil @t1)) % 15.63/15.95 (define @t58 () (not @t57)) % 15.63/15.95 (define @t59 () (tptp.cons @t2 @t1)) % 15.63/15.95 (define @t60 () (= @t12 @t2)) % 15.63/15.95 (define @t61 () (@var "X6" $$unsorted)) % 15.63/15.95 (define @t62 () (@var "X3" $$unsorted)) % 15.63/15.95 (define @t63 () (@var "X5" $$unsorted)) % 15.63/15.95 (define @t64 () (@var "X4" $$unsorted)) % 15.63/15.95 (define @t65 () (and (or (not (tptp.memberP @t64 @t61)) (tptp.leq @t61 @t62)) (or (not (tptp.memberP @t63 @t61)) (tptp.leq @t62 @t61)))) % 15.63/15.95 (define @t66 () (tptp.ssItem @t61)) % 15.63/15.95 (define @t67 () (@list @t61)) % 15.63/15.95 (define @t68 () (forall @t67 (=> @t66 @t65))) % 15.63/15.95 (define @t69 () (tptp.cons @t62 tptp.nil)) % 15.63/15.95 (define @t70 () (tptp.app @t64 @t69)) % 15.63/15.95 (define @t71 () (tptp.app @t70 @t63)) % 15.63/15.95 (define @t72 () (not (= @t71 @t2))) % 15.63/15.95 (define @t73 () (or @t72 @t68)) % 15.63/15.95 (define @t74 () (tptp.ssList @t63)) % 15.63/15.95 (define @t75 () (=> @t74 @t73)) % 15.63/15.95 (define @t76 () (@list @t63)) % 15.63/15.95 (define @t77 () (forall @t76 @t75)) % 15.63/15.95 (define @t78 () (tptp.ssList @t64)) % 15.63/15.95 (define @t79 () (=> @t78 @t77)) % 15.63/15.95 (define @t80 () (@list @t64)) % 15.63/15.95 (define @t81 () (forall @t80 @t79)) % 15.63/15.95 (define @t82 () (tptp.ssItem @t62)) % 15.63/15.95 (define @t83 () (=> @t82 @t81)) % 15.63/15.95 (define @t84 () (@list @t62)) % 15.63/15.95 (define @t85 () (forall @t84 @t83)) % 15.63/15.95 (define @t86 () (@var "X2" $$unsorted)) % 15.63/15.95 (define @t87 () (tptp.memberP @t27 @t86)) % 15.63/15.95 (define @t88 () (tptp.leq @t86 @t28)) % 15.63/15.95 (define @t89 () (not @t88)) % 15.63/15.95 (define @t90 () (and @t89 @t87)) % 15.63/15.95 (define @t91 () (@var "X1" $$unsorted)) % 15.63/15.95 (define @t92 () (tptp.memberP @t91 @t86)) % 15.63/15.95 (define @t93 () (tptp.leq @t28 @t86)) % 15.63/15.95 (define @t94 () (not @t93)) % 15.63/15.95 (define @t95 () (and @t94 @t92)) % 15.63/15.95 (define @t96 () (or @t95 @t90)) % 15.63/15.95 (define @t97 () (tptp.ssItem @t86)) % 15.63/15.95 (define @t98 () (and @t97 @t96)) % 15.63/15.95 (define @t99 () (@list @t86)) % 15.63/15.95 (define @t100 () (exists @t99 @t98)) % 15.63/15.95 (define @t101 () (tptp.cons @t28 tptp.nil)) % 15.63/15.95 (define @t102 () (tptp.app @t27 @t101)) % 15.63/15.95 (define @t103 () (tptp.app @t102 @t91)) % 15.63/15.95 (define @t104 () (tptp.ssList @t91)) % 15.63/15.95 (define @t105 () (and @t104 (= @t103 @t12) @t100)) % 15.63/15.95 (define @t106 () (@list @t91)) % 15.63/15.95 (define @t107 () (exists @t106 @t105)) % 15.63/15.95 (define @t108 () (and @t30 @t107)) % 15.63/15.95 (define @t109 () (exists @t31 @t108)) % 15.63/15.95 (define @t110 () (tptp.ssItem @t28)) % 15.63/15.95 (define @t111 () (and @t110 @t109)) % 15.63/15.95 (define @t112 () (exists @t33 @t111)) % 15.63/15.95 (define @t113 () (not (= @t2 @t12))) % 15.63/15.95 (define @t114 () (not (= @t1 @t10))) % 15.63/15.95 (define @t115 () (or @t114 @t113 @t112 @t85)) % 15.63/15.95 (define @t116 () (=> @t13 @t115)) % 15.63/15.95 (define @t117 () (forall @t14 @t116)) % 15.63/15.95 (define @t118 () (=> @t15 @t117)) % 15.63/15.95 (define @t119 () (forall @t16 @t118)) % 15.63/15.95 (define @t120 () (=> @t21 @t119)) % 15.63/15.95 (define @t121 () (forall @t7 @t120)) % 15.63/15.95 (define @t122 () (=> @t17 @t121)) % 15.63/15.95 (define @t123 () (forall @t9 @t122)) % 15.63/15.95 (define @t124 () (not @t123)) % 15.63/15.95 (define @t125 () (@var "BOUND_VARIABLE_11238" $$unsorted)) % 15.63/15.95 (define @t126 () (@var "BOUND_VARIABLE_11232" $$unsorted)) % 15.63/15.95 (define @t127 () (@var "BOUND_VARIABLE_11236" $$unsorted)) % 15.63/15.95 (define @t128 () (@var "BOUND_VARIABLE_11234" $$unsorted)) % 15.63/15.95 (define @t129 () (and (or (not (tptp.memberP @t128 @t125)) (tptp.leq @t125 @t126)) (or (not (tptp.memberP @t127 @t125)) (tptp.leq @t126 @t125)))) % 15.63/15.95 (define @t130 () (not (tptp.ssItem @t125))) % 15.63/15.95 (define @t131 () (not (tptp.ssList @t127))) % 15.63/15.95 (define @t132 () (not (tptp.ssList @t128))) % 15.63/15.95 (define @t133 () (not (tptp.ssItem @t126))) % 15.63/15.95 (define @t134 () (@var "BOUND_VARIABLE_11064" $$unsorted)) % 15.63/15.95 (define @t135 () (@var "BOUND_VARIABLE_11060" $$unsorted)) % 15.63/15.95 (define @t136 () (@var "BOUND_VARIABLE_11062" $$unsorted)) % 15.63/15.95 (define @t137 () (and (or (tptp.leq @t28 @t134) (not (tptp.memberP @t136 @t134))) (or (tptp.leq @t134 @t28) (not (tptp.memberP @t135 @t134))))) % 15.63/15.95 (define @t138 () (not (tptp.ssItem @t134))) % 15.63/15.95 (define @t139 () (tptp.app (tptp.app @t128 (tptp.cons @t126 tptp.nil)) @t127)) % 15.63/15.95 (define @t140 () (tptp.app (tptp.app @t135 @t101) @t136)) % 15.63/15.95 (define @t141 () (not (tptp.ssList @t136))) % 15.63/15.95 (define @t142 () (not (tptp.ssList @t135))) % 15.63/15.95 (define @t143 () (not @t110)) % 15.63/15.95 (define @t144 () (@list @t28 @t135 @t136 @t134)) % 15.63/15.95 (define @t145 () (not (forall @t144 (or @t143 @t142 @t141 (not (= @t140 @t139)) @t138 @t137)))) % 15.63/15.95 (define @t146 () (not (tptp.ssList @t139))) % 15.63/15.95 (define @t147 () (or @t146 @t145 @t133 @t132 @t131 @t130 @t129)) % 15.63/15.95 (define @t148 () (not (= @t139 @t139))) % 15.63/15.95 (define @t149 () (not (= @t139 @t140))) % 15.63/15.95 (define @t150 () (or @t143 @t142 @t141 @t149 @t138 @t137)) % 15.63/15.95 (define @t151 () (forall @t144 @t150)) % 15.63/15.95 (define @t152 () (not @t151)) % 15.63/15.95 (define @t153 () (or @t146 @t152 @t133 @t132 @t131 @t148 @t130 @t129)) % 15.63/15.95 (define @t154 () (@list @t126 @t128 @t127 @t125)) % 15.63/15.95 (define @t155 () (not (= @t2 @t139))) % 15.63/15.95 (define @t156 () (not (forall @t144 (or @t143 @t142 @t141 (not (= @t2 @t140)) @t138 @t137)))) % 15.63/15.95 (define @t157 () (not @t17)) % 15.63/15.95 (define @t158 () (or @t155 @t157 @t156 @t133 @t132 @t131 @t155 @t130 @t129)) % 15.63/15.95 (define @t159 () (or @t157 @t156 @t133 @t132 @t131 @t155 @t130 @t129)) % 15.63/15.95 (define @t160 () (forall @t9 @t159)) % 15.63/15.95 (define @t161 () (forall @t154 @t160)) % 15.63/15.95 (define @t162 () (forall (@list @t126 @t128 @t127 @t125 @t2) @t159)) % 15.63/15.95 (define @t163 () (@list @t2 @t126 @t128 @t127 @t125)) % 15.63/15.95 (define @t164 () (or @t133 @t132 @t131 @t155 @t130 @t129)) % 15.63/15.95 (define @t165 () (or @t157 @t164 @t156)) % 15.63/15.95 (define @t166 () (forall @t163 @t165)) % 15.63/15.95 (define @t167 () (forall @t154 @t165)) % 15.63/15.95 (define @t168 () (forall @t154 @t164)) % 15.63/15.95 (define @t169 () (@var "BOUND_VARIABLE_11162" $$unsorted)) % 15.63/15.95 (define @t170 () (@var "BOUND_VARIABLE_11160" $$unsorted)) % 15.63/15.95 (define @t171 () (@var "BOUND_VARIABLE_11158" $$unsorted)) % 15.63/15.95 (define @t172 () (or @t157 @t168 @t156)) % 15.63/15.95 (define @t173 () (and (or (not (tptp.memberP @t171 @t169)) (tptp.leq @t169 @t62)) (or (not (tptp.memberP @t170 @t169)) (tptp.leq @t62 @t169)))) % 15.63/15.95 (define @t174 () (not (tptp.ssItem @t169))) % 15.63/15.95 (define @t175 () (not (= @t2 (tptp.app (tptp.app @t171 @t69) @t170)))) % 15.63/15.95 (define @t176 () (not (tptp.ssList @t170))) % 15.63/15.95 (define @t177 () (not (tptp.ssList @t171))) % 15.63/15.95 (define @t178 () (not @t82)) % 15.63/15.95 (define @t179 () (or @t178 @t177 @t176 @t175 @t174 @t173)) % 15.63/15.95 (define @t180 () (@list @t62 @t171 @t170 @t169)) % 15.63/15.95 (define @t181 () (forall @t180 @t179)) % 15.63/15.95 (define @t182 () (or @t157 @t181 @t156)) % 15.63/15.95 (define @t183 () (forall @t9 @t182)) % 15.63/15.95 (define @t184 () (not @t21)) % 15.63/15.95 (define @t185 () (forall @t7 @t184)) % 15.63/15.95 (define @t186 () (or @t185 @t183)) % 15.63/15.95 (define @t187 () (or @t185 @t182)) % 15.63/15.95 (define @t188 () (or @t157 @t181 @t156 @t185)) % 15.63/15.95 (define @t189 () (or @t181 @t157 @t156 @t185)) % 15.63/15.95 (define @t190 () (or @t181 @t157 @t156 @t184)) % 15.63/15.95 (define @t191 () (or @t184 @t181 @t157 @t156)) % 15.63/15.95 (define @t192 () (or @t181 @t184 @t157 @t156)) % 15.63/15.95 (define @t193 () (or @t157 @t156)) % 15.63/15.95 (define @t194 () (not (= @t2 @t2))) % 15.63/15.95 (define @t195 () (or @t157 @t194 @t156)) % 15.63/15.95 (define @t196 () (not (= @t12 @t140))) % 15.63/15.95 (define @t197 () (or @t143 @t142 @t141 @t196 @t138 @t137)) % 15.63/15.95 (define @t198 () (not (forall @t144 @t197))) % 15.63/15.95 (define @t199 () (not @t15)) % 15.63/15.95 (define @t200 () (or @t113 @t199 @t113 @t198)) % 15.63/15.95 (define @t201 () (or @t199 @t113 @t198)) % 15.63/15.95 (define @t202 () (forall @t16 @t201)) % 15.63/15.95 (define @t203 () (or @t181 @t184 @t202)) % 15.63/15.95 (define @t204 () (or @t181 @t184 @t201)) % 15.63/15.95 (define @t205 () (or @t199 @t113 @t198 @t181 @t184)) % 15.63/15.95 (define @t206 () (or @t113 @t198 @t181 @t184)) % 15.63/15.95 (define @t207 () (not (= @t1 @t1))) % 15.63/15.95 (define @t208 () (or @t184 @t207)) % 15.63/15.95 (define @t209 () (not @t13)) % 15.63/15.95 (define @t210 () (or @t114 @t209 @t114)) % 15.63/15.95 (define @t211 () (or @t209 @t114)) % 15.63/15.95 (define @t212 () (forall @t14 @t211)) % 15.63/15.95 (define @t213 () (or @t113 @t198 @t181 @t212)) % 15.63/15.95 (define @t214 () (or @t113 @t198 @t181 @t211)) % 15.63/15.95 (define @t215 () (or @t209 @t114 @t113 @t198 @t181)) % 15.63/15.95 (define @t216 () (or @t114 @t113 @t198 @t181)) % 15.63/15.95 (define @t217 () (or @t177 @t176 @t175 @t174 @t173)) % 15.63/15.95 (define @t218 () (or @t178 @t217)) % 15.63/15.95 (define @t219 () (forall @t180 @t218)) % 15.63/15.95 (define @t220 () (@list @t171 @t170 @t169)) % 15.63/15.95 (define @t221 () (forall @t220 @t218)) % 15.63/15.95 (define @t222 () (forall @t220 @t217)) % 15.63/15.95 (define @t223 () (@var "BOUND_VARIABLE_11129" $$unsorted)) % 15.63/15.95 (define @t224 () (@var "BOUND_VARIABLE_11127" $$unsorted)) % 15.63/15.95 (define @t225 () (or @t178 @t222)) % 15.63/15.95 (define @t226 () (and (or (not (tptp.memberP @t64 @t223)) (tptp.leq @t223 @t62)) (or (not (tptp.memberP @t224 @t223)) (tptp.leq @t62 @t223)))) % 15.63/15.95 (define @t227 () (not (tptp.ssItem @t223))) % 15.63/15.95 (define @t228 () (not (= @t2 (tptp.app @t70 @t224)))) % 15.63/15.95 (define @t229 () (not (tptp.ssList @t224))) % 15.63/15.95 (define @t230 () (not @t78)) % 15.63/15.95 (define @t231 () (or @t230 @t229 @t228 @t227 @t226)) % 15.63/15.95 (define @t232 () (@list @t64 @t224 @t223)) % 15.63/15.95 (define @t233 () (forall @t232 @t231)) % 15.63/15.95 (define @t234 () (or @t229 @t228 @t227 @t226)) % 15.63/15.95 (define @t235 () (or @t230 @t234)) % 15.63/15.95 (define @t236 () (forall @t232 @t235)) % 15.63/15.95 (define @t237 () (@list @t224 @t223)) % 15.63/15.95 (define @t238 () (forall @t237 @t235)) % 15.63/15.95 (define @t239 () (forall @t237 @t234)) % 15.63/15.95 (define @t240 () (@var "BOUND_VARIABLE_11103" $$unsorted)) % 15.63/15.95 (define @t241 () (or @t230 @t239)) % 15.63/15.95 (define @t242 () (and (or (not (tptp.memberP @t64 @t240)) (tptp.leq @t240 @t62)) (or (not (tptp.memberP @t63 @t240)) (tptp.leq @t62 @t240)))) % 15.63/15.95 (define @t243 () (not (tptp.ssItem @t240))) % 15.63/15.95 (define @t244 () (not (= @t2 @t71))) % 15.63/15.95 (define @t245 () (not @t74)) % 15.63/15.95 (define @t246 () (or @t245 @t244 @t243 @t242)) % 15.63/15.95 (define @t247 () (@list @t63 @t240)) % 15.63/15.95 (define @t248 () (forall @t247 @t246)) % 15.63/15.95 (define @t249 () (or @t243 @t242)) % 15.63/15.95 (define @t250 () (or @t245 @t244 @t249)) % 15.63/15.95 (define @t251 () (forall @t247 @t250)) % 15.63/15.95 (define @t252 () (@list @t240)) % 15.63/15.95 (define @t253 () (forall @t252 @t250)) % 15.63/15.95 (define @t254 () (forall @t252 @t249)) % 15.63/15.95 (define @t255 () (or @t245 @t244 @t254)) % 15.63/15.95 (define @t256 () (forall @t67 (or (not @t66) @t65))) % 15.63/15.95 (define @t257 () (or @t245 @t244 @t256)) % 15.63/15.95 (define @t258 () (or @t244 @t256)) % 15.63/15.95 (define @t259 () (or @t142 @t141 @t196 @t138 @t137)) % 15.63/15.95 (define @t260 () (or @t143 @t259)) % 15.63/15.95 (define @t261 () (forall @t144 @t260)) % 15.63/15.95 (define @t262 () (@list @t135 @t136 @t134)) % 15.63/15.95 (define @t263 () (forall @t262 @t260)) % 15.63/15.95 (define @t264 () (forall @t262 @t259)) % 15.63/15.95 (define @t265 () (@var "BOUND_VARIABLE_11027" $$unsorted)) % 15.63/15.95 (define @t266 () (@var "BOUND_VARIABLE_11025" $$unsorted)) % 15.63/15.95 (define @t267 () (or @t143 @t264)) % 15.63/15.95 (define @t268 () (and (or (tptp.leq @t28 @t265) (not (tptp.memberP @t266 @t265))) (or (tptp.leq @t265 @t28) (not (tptp.memberP @t27 @t265))))) % 15.63/15.95 (define @t269 () (not (tptp.ssItem @t265))) % 15.63/15.95 (define @t270 () (not (= @t12 (tptp.app @t102 @t266)))) % 15.63/15.95 (define @t271 () (not (tptp.ssList @t266))) % 15.63/15.95 (define @t272 () (not @t30)) % 15.63/15.95 (define @t273 () (or @t272 @t271 @t270 @t269 @t268)) % 15.63/15.95 (define @t274 () (@list @t27 @t266 @t265)) % 15.63/15.95 (define @t275 () (forall @t274 @t273)) % 15.63/15.95 (define @t276 () (not @t275)) % 15.63/15.95 (define @t277 () (and @t110 @t276)) % 15.63/15.95 (define @t278 () (forall @t33 (not @t277))) % 15.63/15.95 (define @t279 () (not @t278)) % 15.63/15.95 (define @t280 () (or @t271 @t270 @t269 @t268)) % 15.63/15.95 (define @t281 () (or @t272 @t280)) % 15.63/15.95 (define @t282 () (forall @t274 @t281)) % 15.63/15.95 (define @t283 () (@list @t266 @t265)) % 15.63/15.95 (define @t284 () (forall @t283 @t281)) % 15.63/15.95 (define @t285 () (forall @t283 @t280)) % 15.63/15.95 (define @t286 () (@var "BOUND_VARIABLE_10998" $$unsorted)) % 15.63/15.95 (define @t287 () (or @t272 @t285)) % 15.63/15.95 (define @t288 () (and (or (tptp.leq @t28 @t286) (not (tptp.memberP @t91 @t286))) (or (tptp.leq @t286 @t28) (not (tptp.memberP @t27 @t286))))) % 15.63/15.95 (define @t289 () (not (tptp.ssItem @t286))) % 15.63/15.95 (define @t290 () (= @t12 @t103)) % 15.63/15.95 (define @t291 () (not @t290)) % 15.63/15.95 (define @t292 () (not @t104)) % 15.63/15.95 (define @t293 () (or @t292 @t291 @t289 @t288)) % 15.63/15.95 (define @t294 () (@list @t91 @t286)) % 15.63/15.95 (define @t295 () (forall @t294 @t293)) % 15.63/15.95 (define @t296 () (not @t295)) % 15.63/15.95 (define @t297 () (and @t30 @t296)) % 15.63/15.95 (define @t298 () (forall @t31 (not @t297))) % 15.63/15.95 (define @t299 () (not @t298)) % 15.63/15.95 (define @t300 () (or @t289 @t288)) % 15.63/15.95 (define @t301 () (or @t292 @t291 @t300)) % 15.63/15.95 (define @t302 () (forall @t294 @t301)) % 15.63/15.95 (define @t303 () (@list @t286)) % 15.63/15.95 (define @t304 () (forall @t303 @t301)) % 15.63/15.95 (define @t305 () (forall @t303 @t300)) % 15.63/15.95 (define @t306 () (or @t292 @t291 @t305)) % 15.63/15.95 (define @t307 () (not @t87)) % 15.63/15.95 (define @t308 () (not @t92)) % 15.63/15.95 (define @t309 () (not @t97)) % 15.63/15.95 (define @t310 () (forall @t99 (or @t309 (and (or @t93 @t308) (or @t88 @t307))))) % 15.63/15.95 (define @t311 () (not @t310)) % 15.63/15.95 (define @t312 () (not @t311)) % 15.63/15.95 (define @t313 () (or @t292 @t291 @t312)) % 15.63/15.95 (define @t314 () (and @t104 @t290 @t311)) % 15.63/15.95 (define @t315 () (forall @t106 (not @t314))) % 15.63/15.95 (define @t316 () (not @t315)) % 15.63/15.95 (define @t317 () (forall @t99 (not @t98))) % 15.63/15.95 (define @t318 () (not @t317)) % 15.63/15.95 (define @t319 () (forall @t154 @t147)) % 15.63/15.95 (define @t320 () (@quantifiers_skolemize @t319 2)) % 15.63/15.95 (define @t321 () (@quantifiers_skolemize @t319 0)) % 15.63/15.95 (define @t322 () (@quantifiers_skolemize @t319 1)) % 15.63/15.95 (define @t323 () (tptp.app (tptp.app @t322 (tptp.cons @t321 tptp.nil)) @t320)) % 15.63/15.95 (define @t324 () (forall @t144 (or @t143 @t142 @t141 (not (= @t140 @t323)) @t138 @t137))) % 15.63/15.95 (define @t325 () (@quantifiers_skolemize @t319 3)) % 15.63/15.95 (define @t326 () (tptp.leq @t321 @t325)) % 15.63/15.95 (define @t327 () (tptp.memberP @t320 @t325)) % 15.63/15.95 (define @t328 () (not @t327)) % 15.63/15.95 (define @t329 () (or @t328 @t326)) % 15.63/15.95 (define @t330 () (tptp.leq @t325 @t321)) % 15.63/15.95 (define @t331 () (tptp.memberP @t322 @t325)) % 15.63/15.95 (define @t332 () (not @t331)) % 15.63/15.95 (define @t333 () (or @t332 @t330)) % 15.63/15.95 (define @t334 () (and @t333 @t329)) % 15.63/15.95 (define @t335 () (tptp.ssItem @t325)) % 15.63/15.95 (define @t336 () (not @t335)) % 15.63/15.95 (define @t337 () (tptp.ssList @t320)) % 15.63/15.95 (define @t338 () (not @t337)) % 15.63/15.95 (define @t339 () (tptp.ssList @t322)) % 15.63/15.95 (define @t340 () (not @t339)) % 15.63/15.95 (define @t341 () (tptp.ssItem @t321)) % 15.63/15.95 (define @t342 () (not @t341)) % 15.63/15.95 (define @t343 () (not @t324)) % 15.63/15.95 (define @t344 () (or (not (tptp.ssList @t323)) @t343 @t342 @t340 @t338 @t336 @t334)) % 15.63/15.95 (define @t345 () (@list true)) % 15.63/15.95 (define @t346 () (@list @t344)) % 15.63/15.95 (define @t347 () (or @t330 @t332)) % 15.63/15.95 (define @t348 () (or @t326 @t328)) % 15.63/15.95 (define @t349 () (and @t348 @t347)) % 15.63/15.95 (define @t350 () (or @t342 @t340 @t338 @t336 @t349)) % 15.63/15.95 (define @t351 () (not (= @t323 @t323))) % 15.63/15.95 (define @t352 () (or @t342 @t340 @t338 @t351 @t336 @t349)) % 15.63/15.95 (define @t353 () (@list false)) % 15.63/15.95 (define @t354 () (not @t349)) % 15.63/15.95 (define @t355 () (@list @t349)) % 15.63/15.95 (define @t356 () (@list @t333)) % 15.63/15.95 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 15.63/15.95 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 15.63/15.95 (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))))))))))) % 15.63/15.95 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 15.63/15.95 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 15.63/15.95 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 15.63/15.95 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 15.63/15.95 (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))))))))))))))))) % 15.63/15.95 (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)))))))))))))))) % 15.63/15.95 (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))))))))))))))))) % 15.63/15.95 (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))))))))))))))) % 15.63/15.95 (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))))))))))))))) % 15.63/15.95 (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)))))))))))))))) % 15.63/15.95 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 15.63/15.95 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 15.63/15.95 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 15.63/15.95 (assume @p17 (tptp.ssList tptp.nil)) % 15.63/15.95 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 15.63/15.95 (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) @t38))))))))))) % 15.63/15.95 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 15.63/15.95 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 15.63/15.95 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 15.63/15.95 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 15.63/15.95 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 15.63/15.95 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 15.63/15.95 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 15.63/15.95 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 15.63/15.95 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 15.63/15.95 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 15.63/15.95 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 15.63/15.95 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 15.63/15.95 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 15.63/15.95 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 15.63/15.95 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 15.63/15.95 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 15.63/15.95 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 15.63/15.95 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 15.63/15.95 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 15.63/15.95 (assume @p39 (not (tptp.singletonP tptp.nil))) % 15.63/15.95 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 15.63/15.95 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 15.63/15.95 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 15.63/15.95 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 15.63/15.95 (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)))))))))))) % 15.63/15.95 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 15.63/15.95 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 15.63/15.95 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 15.63/15.95 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 15.63/15.95 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 15.63/15.95 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1))))))))) % 15.63/15.95 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 15.63/15.95 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 15.63/15.95 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 15.63/15.95 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 15.63/15.95 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 15.63/15.95 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1))))))))))) % 15.63/15.95 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 15.63/15.95 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 15.63/15.95 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t55)))) % 15.63/15.95 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 15.63/15.95 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t55)))) % 15.63/15.95 (assume @p62 (tptp.totalorderP tptp.nil)) % 15.63/15.95 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t55)))) % 15.63/15.95 (assume @p64 (tptp.strictorderP tptp.nil)) % 15.63/15.95 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t55)))) % 15.63/15.95 (assume @p66 (tptp.totalorderedP tptp.nil)) % 15.63/15.95 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t59) (or @t57 (and @t58 (tptp.totalorderedP @t1) (tptp.leq @t2 @t56))))))))) % 15.63/15.95 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t55)))) % 15.63/15.95 (assume @p69 (tptp.strictorderedP tptp.nil)) % 15.63/15.95 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t59) (or @t57 (and @t58 (tptp.strictorderedP @t1) (tptp.lt @t2 @t56))))))))) % 15.63/15.95 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t55)))) % 15.63/15.95 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 15.63/15.95 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t55)))) % 15.63/15.95 (assume @p74 (tptp.equalelemsP tptp.nil)) % 15.63/15.95 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 15.63/15.95 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 15.63/15.95 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t58 @t42 (= @t56 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 15.63/15.95 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 15.63/15.95 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t60)))))))) % 15.63/15.95 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t60)))))))) % 15.63/15.95 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 15.63/15.95 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 15.63/15.95 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t57 @t40))))))) % 15.63/15.95 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 15.63/15.95 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 15.63/15.95 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 15.63/15.95 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 15.63/15.95 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 15.63/15.95 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 15.63/15.95 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 15.63/15.95 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 15.63/15.95 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 15.63/15.95 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47))))))) % 15.63/15.95 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2)))))))) % 15.63/15.95 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 15.63/15.95 (assume @p96 @t124) % 15.63/15.95 (assume @p97 true) % 15.63/15.95 (step @p98 :rule aci_norm :args ((= (or @t146 @t145 @t133 @t132 @t131 false @t130 @t129) @t147))) % 15.63/15.95 (step @p99 :rule refl :args (@t129)) % 15.63/15.95 (step @p100 :rule refl :args (@t130)) % 15.63/15.95 (step @p101 :rule evaluate :args ((not true))) % 15.63/15.95 (step @p102 :rule eq-refl :args (@t139)) % 15.63/15.95 (step @p103 :rule cong :premises (@p102) :args (@t148)) % 15.63/15.95 (step @p104 :rule trans :premises (@p103 @p101)) % 15.63/15.95 (step @p105 :rule refl :args (@t131)) % 15.63/15.95 (step @p106 :rule refl :args (@t132)) % 15.63/15.95 (step @p107 :rule refl :args (@t133)) % 15.63/15.95 (step @p108 :rule refl :args (@t137)) % 15.63/15.95 (step @p109 :rule refl :args (@t138)) % 15.63/15.95 (step @p110 :rule eq-symm :args (@t139 @t140)) % 15.63/15.95 (step @p111 :rule cong :premises (@p110) :args (@t149)) % 15.63/15.95 (step @p112 :rule refl :args (@t141)) % 15.63/15.95 (step @p113 :rule refl :args (@t142)) % 15.63/15.95 (step @p114 :rule refl :args (@t143)) % 15.63/15.95 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112 @p111 @p109 @p108) :args (@t150)) % 15.63/15.95 (step @p116 :rule cong :premises (@p115) :args (@t151)) % 15.63/15.95 (step @p117 :rule cong :premises (@p116) :args (@t152)) % 15.63/15.95 (step @p118 :rule refl :args (@t146)) % 15.63/15.95 (step @p119 :rule nary_cong :premises (@p118 @p117 @p107 @p106 @p105 @p104 @p100 @p99) :args (@t153)) % 15.63/15.95 (step @p120 :rule trans :premises (@p119 @p98)) % 15.63/15.95 (step @p121 :rule cong :premises (@p120) :args ((forall @t154 @t153))) % 15.63/15.95 (step @p122 :rule quant-var-elim-eq :args ((= (forall @t9 @t158) @t153))) % 15.63/15.95 (step @p123 :rule aci_norm :args ((= @t159 @t158))) % 15.63/15.95 (step @p124 :rule cong :premises (@p123) :args (@t160)) % 15.63/15.95 (step @p125 :rule trans :premises (@p124 @p122)) % 15.63/15.95 (step @p126 :rule cong :premises (@p125) :args (@t161)) % 15.63/15.95 (step @p127 :rule quant-merge-prenex :args ((= @t161 @t162))) % 15.63/15.95 (step @p128 :rule symm :premises (@p127)) % 15.63/15.95 (step @p129 :rule quant_var_reordering :args ((= (forall @t163 @t159) @t162))) % 15.63/15.95 (step @p130 :rule trans :premises (@p129 @p128 @p126)) % 15.63/15.95 (step @p131 :rule trans :premises (@p130 @p121)) % 15.63/15.95 (step @p132 :rule aci_norm :args ((= @t165 @t159))) % 15.63/15.95 (step @p133 :rule cong :premises (@p132) :args (@t166)) % 15.63/15.95 (step @p134 :rule trans :premises (@p133 @p131)) % 15.63/15.95 (step @p135 :rule quant-merge-prenex :args ((= (forall @t9 @t167) @t166))) % 15.63/15.95 (step @p136 :rule refl :args (@t156)) % 15.63/15.95 (step @p137 :rule alpha_equiv :args (@t168 (@list @t126 @t128 @t127 @t125) (@list @t62 @t171 @t170 @t169))) % 15.63/15.95 (step @p138 :rule refl :args (@t157)) % 15.63/15.95 (step @p139 :rule nary_cong :premises (@p138 @p137 @p136) :args (@t172)) % 15.63/15.95 (step @p140 :rule quant-miniscope-or :args ((= @t167 @t172))) % 15.63/15.95 (step @p141 :rule trans :premises (@p140 @p139)) % 15.63/15.95 (step @p142 :rule symm :premises (@p141)) % 15.63/15.95 (step @p143 :rule cong :premises (@p142) :args (@t183)) % 15.63/15.95 (step @p144 :rule trans :premises (@p143 @p135)) % 15.63/15.95 (step @p145 :rule trans :premises (@p144 @p134)) % 15.63/15.95 (step @p146 :rule refl :args (@t185)) % 15.63/15.95 (step @p147 :rule nary_cong :premises (@p146 @p145) :args (@t186)) % 15.63/15.95 (step @p148 :rule quant-miniscope-or :args ((= (forall @t9 @t187) @t186))) % 15.63/15.95 (step @p149 :rule aci_norm :args ((= @t188 @t187))) % 15.63/15.95 (step @p150 :rule cong :premises (@p149) :args ((forall @t9 @t188))) % 15.63/15.95 (step @p151 :rule trans :premises (@p150 @p148)) % 15.63/15.95 (step @p152 :rule trans :premises (@p151 @p147)) % 15.63/15.95 (step @p153 :rule aci_norm :args ((= (or @t157 @t189) @t188))) % 15.63/15.95 (step @p154 :rule bool-impl-elim :args (@t17 @t189)) % 15.63/15.95 (step @p155 :rule trans :premises (@p154 @p153)) % 15.63/15.95 (step @p156 :rule cong :premises (@p155) :args ((forall @t9 (=> @t17 @t189)))) % 15.63/15.95 (step @p157 :rule trans :premises (@p156 @p152)) % 15.63/15.95 (step @p158 :rule quant-miniscope-or :args ((= (forall @t7 @t190) @t189))) % 15.63/15.95 (step @p159 :rule aci_norm :args ((= @t191 @t190))) % 15.63/15.95 (step @p160 :rule cong :premises (@p159) :args ((forall @t7 @t191))) % 15.63/15.95 (step @p161 :rule trans :premises (@p160 @p158)) % 15.63/15.95 (step @p162 :rule aci_norm :args ((= (or @t184 @t192) @t191))) % 15.63/15.95 (step @p163 :rule bool-impl-elim :args (@t21 @t192)) % 15.63/15.95 (step @p164 :rule trans :premises (@p163 @p162)) % 15.63/15.95 (step @p165 :rule cong :premises (@p164) :args ((forall @t7 (=> @t21 @t192)))) % 15.63/15.95 (step @p166 :rule trans :premises (@p165 @p161)) % 15.63/15.95 (step @p167 :rule aci_norm :args ((= (or @t181 @t184 @t193) @t192))) % 15.63/15.95 (step @p168 :rule aci_norm :args ((= (or @t157 false @t156) @t193))) % 15.63/15.95 (step @p169 :rule refl :args (@t156)) % 15.63/15.95 (step @p170 :rule eq-refl :args (@t2)) % 15.63/15.95 (step @p171 :rule cong :premises (@p170) :args (@t194)) % 15.63/15.95 (step @p172 :rule trans :premises (@p171 @p101)) % 15.63/15.95 (step @p173 :rule refl :args (@t157)) % 15.63/15.95 (step @p174 :rule nary_cong :premises (@p173 @p172 @p169) :args (@t195)) % 15.63/15.95 (step @p175 :rule trans :premises (@p174 @p168)) % 15.63/15.95 (step @p176 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t60) @t199 @t113 @t198)) @t195))) % 15.63/15.95 (step @p177 :rule refl :args (@t198)) % 15.63/15.95 (step @p178 :rule refl :args (@t113)) % 15.63/15.95 (step @p179 :rule refl :args (@t199)) % 15.63/15.95 (step @p180 :rule eq-symm :args (@t2 @t12)) % 15.63/15.95 (step @p181 :rule cong :premises (@p180) :args (@t113)) % 15.63/15.95 (step @p182 :rule nary_cong :premises (@p181 @p179 @p178 @p177) :args (@t200)) % 15.63/15.95 (step @p183 :rule aci_norm :args ((= @t201 @t200))) % 15.63/15.95 (step @p184 :rule trans :premises (@p183 @p182)) % 15.63/15.95 (step @p185 :rule cong :premises (@p184) :args (@t202)) % 15.63/15.95 (step @p186 :rule trans :premises (@p185 @p176)) % 15.63/15.95 (step @p187 :rule trans :premises (@p186 @p175)) % 15.63/15.95 (step @p188 :rule refl :args (@t184)) % 15.63/15.95 (step @p189 :rule refl :args (@t181)) % 15.63/15.95 (step @p190 :rule nary_cong :premises (@p189 @p188 @p187) :args (@t203)) % 15.63/15.95 (step @p191 :rule trans :premises (@p190 @p167)) % 15.63/15.95 (step @p192 :rule quant-miniscope-or :args ((= (forall @t16 @t204) @t203))) % 15.63/15.95 (step @p193 :rule aci_norm :args ((= @t205 @t204))) % 15.63/15.95 (step @p194 :rule cong :premises (@p193) :args ((forall @t16 @t205))) % 15.63/15.95 (step @p195 :rule trans :premises (@p194 @p192)) % 15.63/15.95 (step @p196 :rule trans :premises (@p195 @p191)) % 15.63/15.95 (step @p197 :rule aci_norm :args ((= (or @t199 @t206) @t205))) % 15.63/15.95 (step @p198 :rule bool-impl-elim :args (@t15 @t206)) % 15.63/15.95 (step @p199 :rule trans :premises (@p198 @p197)) % 15.63/15.95 (step @p200 :rule cong :premises (@p199) :args ((forall @t16 (=> @t15 @t206)))) % 15.63/15.95 (step @p201 :rule trans :premises (@p200 @p196)) % 15.63/15.95 (step @p202 :rule aci_norm :args ((= (or @t184 false) @t184))) % 15.63/15.95 (step @p203 :rule eq-refl :args (@t1)) % 15.63/15.95 (step @p204 :rule cong :premises (@p203) :args (@t207)) % 15.63/15.95 (step @p205 :rule trans :premises (@p204 @p101)) % 15.63/15.95 (step @p206 :rule nary_cong :premises (@p188 @p205) :args (@t208)) % 15.63/15.95 (step @p207 :rule trans :premises (@p206 @p202)) % 15.63/15.95 (step @p208 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t209 @t114)) @t208))) % 15.63/15.95 (step @p209 :rule refl :args (@t114)) % 15.63/15.95 (step @p210 :rule refl :args (@t209)) % 15.63/15.95 (step @p211 :rule eq-symm :args (@t1 @t10)) % 15.63/15.95 (step @p212 :rule cong :premises (@p211) :args (@t114)) % 15.63/15.95 (step @p213 :rule nary_cong :premises (@p212 @p210 @p209) :args (@t210)) % 15.63/15.95 (step @p214 :rule aci_norm :args ((= @t211 @t210))) % 15.63/15.95 (step @p215 :rule trans :premises (@p214 @p213)) % 15.63/15.95 (step @p216 :rule cong :premises (@p215) :args (@t212)) % 15.63/15.95 (step @p217 :rule trans :premises (@p216 @p208)) % 15.63/15.95 (step @p218 :rule trans :premises (@p217 @p207)) % 15.63/15.95 (step @p219 :rule refl :args (@t198)) % 15.63/15.95 (step @p220 :rule refl :args (@t113)) % 15.63/15.95 (step @p221 :rule nary_cong :premises (@p220 @p219 @p189 @p218) :args (@t213)) % 15.63/15.95 (step @p222 :rule quant-miniscope-or :args ((= (forall @t14 @t214) @t213))) % 15.63/15.95 (step @p223 :rule aci_norm :args ((= @t215 @t214))) % 15.63/15.95 (step @p224 :rule cong :premises (@p223) :args ((forall @t14 @t215))) % 15.63/15.95 (step @p225 :rule trans :premises (@p224 @p222)) % 15.63/15.95 (step @p226 :rule trans :premises (@p225 @p221)) % 15.63/15.95 (step @p227 :rule aci_norm :args ((= (or @t209 @t216) @t215))) % 15.63/15.95 (step @p228 :rule bool-impl-elim :args (@t13 @t216)) % 15.63/15.95 (step @p229 :rule trans :premises (@p228 @p227)) % 15.63/15.95 (step @p230 :rule cong :premises (@p229) :args ((forall @t14 (=> @t13 @t216)))) % 15.63/15.95 (step @p231 :rule trans :premises (@p230 @p226)) % 15.63/15.95 (step @p232 :rule aci_norm :args ((= @t218 @t179))) % 15.63/15.95 (step @p233 :rule cong :premises (@p232) :args (@t219)) % 15.63/15.95 (step @p234 :rule quant-merge-prenex :args ((= (forall @t84 @t221) @t219))) % 15.63/15.95 (step @p235 :rule alpha_equiv :args (@t222 (@list @t171 @t170 @t169) (@list @t64 @t224 @t223))) % 15.63/15.95 (step @p236 :rule refl :args (@t178)) % 15.63/15.95 (step @p237 :rule nary_cong :premises (@p236 @p235) :args (@t225)) % 15.63/15.95 (step @p238 :rule quant-miniscope-or :args ((= @t221 @t225))) % 15.63/15.95 (step @p239 :rule trans :premises (@p238 @p237)) % 15.63/15.95 (step @p240 :rule symm :premises (@p239)) % 15.63/15.95 (step @p241 :rule cong :premises (@p240) :args ((forall @t84 (or @t178 @t233)))) % 15.63/15.95 (step @p242 :rule trans :premises (@p241 @p234)) % 15.63/15.95 (step @p243 :rule trans :premises (@p242 @p233)) % 15.63/15.95 (step @p244 :rule bool-impl-elim :args (@t82 @t233)) % 15.63/15.95 (step @p245 :rule cong :premises (@p244) :args ((forall @t84 (=> @t82 @t233)))) % 15.63/15.95 (step @p246 :rule trans :premises (@p245 @p243)) % 15.63/15.95 (step @p247 :rule aci_norm :args ((= @t235 @t231))) % 15.63/15.95 (step @p248 :rule cong :premises (@p247) :args (@t236)) % 15.63/15.95 (step @p249 :rule quant-merge-prenex :args ((= (forall @t80 @t238) @t236))) % 15.63/15.95 (step @p250 :rule alpha_equiv :args (@t239 (@list @t224 @t223) (@list @t63 @t240))) % 15.63/15.95 (step @p251 :rule refl :args (@t230)) % 15.63/15.95 (step @p252 :rule nary_cong :premises (@p251 @p250) :args (@t241)) % 15.63/15.95 (step @p253 :rule quant-miniscope-or :args ((= @t238 @t241))) % 15.63/15.95 (step @p254 :rule trans :premises (@p253 @p252)) % 15.63/15.95 (step @p255 :rule symm :premises (@p254)) % 15.63/15.95 (step @p256 :rule cong :premises (@p255) :args ((forall @t80 (or @t230 @t248)))) % 15.63/15.95 (step @p257 :rule trans :premises (@p256 @p249)) % 15.63/15.95 (step @p258 :rule trans :premises (@p257 @p248)) % 15.63/15.95 (step @p259 :rule bool-impl-elim :args (@t78 @t248)) % 15.63/15.95 (step @p260 :rule cong :premises (@p259) :args ((forall @t80 (=> @t78 @t248)))) % 15.63/15.95 (step @p261 :rule trans :premises (@p260 @p258)) % 15.63/15.95 (step @p262 :rule aci_norm :args ((= @t250 @t246))) % 15.63/15.95 (step @p263 :rule cong :premises (@p262) :args (@t251)) % 15.63/15.95 (step @p264 :rule quant-merge-prenex :args ((= (forall @t76 @t253) @t251))) % 15.63/15.95 (step @p265 :rule alpha_equiv :args (@t254 (@list @t240) (@list @t61))) % 15.63/15.95 (step @p266 :rule refl :args (@t244)) % 15.63/15.95 (step @p267 :rule refl :args (@t245)) % 15.63/15.95 (step @p268 :rule nary_cong :premises (@p267 @p266 @p265) :args (@t255)) % 15.63/15.95 (step @p269 :rule quant-miniscope-or :args ((= @t253 @t255))) % 15.63/15.95 (step @p270 :rule trans :premises (@p269 @p268)) % 15.63/15.95 (step @p271 :rule symm :premises (@p270)) % 15.63/15.95 (step @p272 :rule cong :premises (@p271) :args ((forall @t76 @t257))) % 15.63/15.95 (step @p273 :rule trans :premises (@p272 @p264)) % 15.63/15.95 (step @p274 :rule trans :premises (@p273 @p263)) % 15.63/15.95 (step @p275 :rule aci_norm :args ((= (or @t245 @t258) @t257))) % 15.63/15.95 (step @p276 :rule bool-impl-elim :args (@t74 @t258)) % 15.63/15.95 (step @p277 :rule trans :premises (@p276 @p275)) % 15.63/15.95 (step @p278 :rule cong :premises (@p277) :args ((forall @t76 (=> @t74 @t258)))) % 15.63/15.95 (step @p279 :rule trans :premises (@p278 @p274)) % 15.63/15.95 (step @p280 :rule bool-impl-elim :args (@t66 @t65)) % 15.63/15.95 (step @p281 :rule cong :premises (@p280) :args (@t68)) % 15.63/15.95 (step @p282 :rule eq-symm :args (@t71 @t2)) % 15.63/15.95 (step @p283 :rule cong :premises (@p282) :args (@t72)) % 15.63/15.95 (step @p284 :rule nary_cong :premises (@p283 @p281) :args (@t73)) % 15.63/15.95 (step @p285 :rule refl :args (@t74)) % 15.63/15.95 (step @p286 :rule cong :premises (@p285 @p284) :args (@t75)) % 15.63/15.95 (step @p287 :rule cong :premises (@p286) :args (@t77)) % 15.63/15.95 (step @p288 :rule trans :premises (@p287 @p279)) % 15.63/15.95 (step @p289 :rule refl :args (@t78)) % 15.63/15.95 (step @p290 :rule cong :premises (@p289 @p288) :args (@t79)) % 15.63/15.95 (step @p291 :rule cong :premises (@p290) :args (@t81)) % 15.63/15.95 (step @p292 :rule trans :premises (@p291 @p261)) % 15.63/15.95 (step @p293 :rule refl :args (@t82)) % 15.63/15.95 (step @p294 :rule cong :premises (@p293 @p292) :args (@t83)) % 15.63/15.95 (step @p295 :rule cong :premises (@p294) :args (@t85)) % 15.63/15.95 (step @p296 :rule trans :premises (@p295 @p246)) % 15.63/15.95 (step @p297 :rule aci_norm :args ((= @t260 @t197))) % 15.63/15.95 (step @p298 :rule cong :premises (@p297) :args (@t261)) % 15.63/15.95 (step @p299 :rule quant-merge-prenex :args ((= (forall @t33 @t263) @t261))) % 15.63/15.95 (step @p300 :rule alpha_equiv :args (@t264 (@list @t135 @t136 @t134) (@list @t27 @t266 @t265))) % 15.63/15.95 (step @p301 :rule refl :args (@t143)) % 15.63/15.95 (step @p302 :rule nary_cong :premises (@p301 @p300) :args (@t267)) % 15.63/15.95 (step @p303 :rule quant-miniscope-or :args ((= @t263 @t267))) % 15.63/15.95 (step @p304 :rule trans :premises (@p303 @p302)) % 15.63/15.95 (step @p305 :rule symm :premises (@p304)) % 15.63/15.95 (step @p306 :rule cong :premises (@p305) :args ((forall @t33 (or @t143 @t275)))) % 15.63/15.95 (step @p307 :rule trans :premises (@p306 @p299)) % 15.63/15.95 (step @p308 :rule trans :premises (@p307 @p298)) % 15.63/15.95 (step @p309 :rule bool-double-not-elim :args (@t275)) % 15.63/15.95 (step @p310 :rule nary_cong :premises (@p301 @p309) :args ((or @t143 (not @t276)))) % 15.63/15.95 (step @p311 :rule bool-and-de-morgan :args (@t110 @t276 true)) % 15.63/15.95 (step @p312 :rule trans :premises (@p311 @p310)) % 15.63/15.95 (step @p313 :rule cong :premises (@p312) :args (@t278)) % 15.63/15.95 (step @p314 :rule trans :premises (@p313 @p308)) % 15.63/15.95 (step @p315 :rule cong :premises (@p314) :args (@t279)) % 15.63/15.95 (step @p316 :rule exists-elim :args ((= (exists @t33 @t277) @t279))) % 15.63/15.95 (step @p317 :rule trans :premises (@p316 @p315)) % 15.63/15.95 (step @p318 :rule aci_norm :args ((= @t281 @t273))) % 15.63/15.95 (step @p319 :rule cong :premises (@p318) :args (@t282)) % 15.63/15.95 (step @p320 :rule quant-merge-prenex :args ((= (forall @t31 @t284) @t282))) % 15.63/15.95 (step @p321 :rule alpha_equiv :args (@t285 (@list @t266 @t265) (@list @t91 @t286))) % 15.63/15.95 (step @p322 :rule refl :args (@t272)) % 15.63/15.95 (step @p323 :rule nary_cong :premises (@p322 @p321) :args (@t287)) % 15.63/15.95 (step @p324 :rule quant-miniscope-or :args ((= @t284 @t287))) % 15.63/15.95 (step @p325 :rule trans :premises (@p324 @p323)) % 15.63/15.95 (step @p326 :rule symm :premises (@p325)) % 15.63/15.95 (step @p327 :rule cong :premises (@p326) :args ((forall @t31 (or @t272 @t295)))) % 15.63/15.95 (step @p328 :rule trans :premises (@p327 @p320)) % 15.63/15.95 (step @p329 :rule trans :premises (@p328 @p319)) % 15.63/15.95 (step @p330 :rule bool-double-not-elim :args (@t295)) % 15.63/15.95 (step @p331 :rule nary_cong :premises (@p322 @p330) :args ((or @t272 (not @t296)))) % 15.63/15.95 (step @p332 :rule bool-and-de-morgan :args (@t30 @t296 true)) % 15.63/15.95 (step @p333 :rule trans :premises (@p332 @p331)) % 15.63/15.95 (step @p334 :rule cong :premises (@p333) :args (@t298)) % 15.63/15.95 (step @p335 :rule trans :premises (@p334 @p329)) % 15.63/15.95 (step @p336 :rule cong :premises (@p335) :args (@t299)) % 15.63/15.95 (step @p337 :rule exists-elim :args ((= (exists @t31 @t297) @t299))) % 15.63/15.95 (step @p338 :rule trans :premises (@p337 @p336)) % 15.63/15.95 (step @p339 :rule aci_norm :args ((= @t301 @t293))) % 15.63/15.95 (step @p340 :rule cong :premises (@p339) :args (@t302)) % 15.63/15.95 (step @p341 :rule quant-merge-prenex :args ((= (forall @t106 @t304) @t302))) % 15.63/15.95 (step @p342 :rule alpha_equiv :args (@t305 (@list @t286) (@list @t86))) % 15.63/15.95 (step @p343 :rule refl :args (@t291)) % 15.63/15.95 (step @p344 :rule refl :args (@t292)) % 15.63/15.95 (step @p345 :rule nary_cong :premises (@p344 @p343 @p342) :args (@t306)) % 15.63/15.95 (step @p346 :rule quant-miniscope-or :args ((= @t304 @t306))) % 15.63/15.95 (step @p347 :rule trans :premises (@p346 @p345)) % 15.63/15.95 (step @p348 :rule symm :premises (@p347)) % 15.63/15.95 (step @p349 :rule cong :premises (@p348) :args ((forall @t106 (or @t292 @t291 @t310)))) % 15.63/15.95 (step @p350 :rule trans :premises (@p349 @p341)) % 15.63/15.95 (step @p351 :rule trans :premises (@p350 @p340)) % 15.63/15.95 (step @p352 :rule bool-double-not-elim :args (@t310)) % 15.63/15.95 (step @p353 :rule nary_cong :premises (@p344 @p343 @p352) :args (@t313)) % 15.63/15.95 (step @p354 :rule aci_norm :args ((= (or @t292 (or @t291 @t312)) @t313))) % 15.63/15.95 (step @p355 :rule trans :premises (@p354 @p353)) % 15.63/15.95 (step @p356 :rule bool-and-de-morgan :args (@t290 @t311 true)) % 15.63/15.95 (step @p357 :rule nary_cong :premises (@p344 @p356) :args ((or @t292 (not (and @t290 @t311))))) % 15.63/15.95 (step @p358 :rule bool-and-de-morgan :args (@t104 @t290 (and @t311))) % 15.63/15.95 (step @p359 :rule trans :premises (@p358 @p357)) % 15.63/15.95 (step @p360 :rule trans :premises (@p359 @p355)) % 15.63/15.95 (step @p361 :rule cong :premises (@p360) :args (@t315)) % 15.63/15.95 (step @p362 :rule trans :premises (@p361 @p351)) % 15.63/15.95 (step @p363 :rule cong :premises (@p362) :args (@t316)) % 15.63/15.95 (step @p364 :rule exists-elim :args ((= (exists @t106 @t314) @t316))) % 15.63/15.95 (step @p365 :rule trans :premises (@p364 @p363)) % 15.63/15.95 (step @p366 :rule refl :args (@t307)) % 15.63/15.95 (step @p367 :rule bool-double-not-elim :args (@t88)) % 15.63/15.95 (step @p368 :rule nary_cong :premises (@p367 @p366) :args ((or (not @t89) @t307))) % 15.63/15.95 (step @p369 :rule bool-and-de-morgan :args (@t89 @t87 true)) % 15.63/15.95 (step @p370 :rule trans :premises (@p369 @p368)) % 15.63/15.95 (step @p371 :rule refl :args (@t308)) % 15.63/15.95 (step @p372 :rule bool-double-not-elim :args (@t93)) % 15.63/15.95 (step @p373 :rule nary_cong :premises (@p372 @p371) :args ((or (not @t94) @t308))) % 15.63/15.95 (step @p374 :rule bool-and-de-morgan :args (@t94 @t92 true)) % 15.63/15.95 (step @p375 :rule trans :premises (@p374 @p373)) % 15.63/15.95 (step @p376 :rule nary_cong :premises (@p375 @p370) :args ((and (not @t95) (not @t90)))) % 15.63/15.95 (step @p377 :rule bool-or-de-morgan :args (@t95 @t90 false)) % 15.63/15.95 (step @p378 :rule trans :premises (@p377 @p376)) % 15.63/15.95 (step @p379 :rule refl :args (@t309)) % 15.63/15.95 (step @p380 :rule nary_cong :premises (@p379 @p378) :args ((or @t309 (not @t96)))) % 15.63/15.95 (step @p381 :rule bool-and-de-morgan :args (@t97 @t96 true)) % 15.63/15.95 (step @p382 :rule trans :premises (@p381 @p380)) % 15.63/15.95 (step @p383 :rule cong :premises (@p382) :args (@t317)) % 15.63/15.95 (step @p384 :rule cong :premises (@p383) :args (@t318)) % 15.63/15.95 (step @p385 :rule exists-elim :args ((= @t100 @t318))) % 15.63/15.95 (step @p386 :rule trans :premises (@p385 @p384)) % 15.63/15.95 (step @p387 :rule eq-symm :args (@t103 @t12)) % 15.63/15.95 (step @p388 :rule refl :args (@t104)) % 15.63/15.95 (step @p389 :rule nary_cong :premises (@p388 @p387 @p386) :args (@t105)) % 15.63/15.95 (step @p390 :rule cong :premises (@p389) :args (@t107)) % 15.63/15.95 (step @p391 :rule trans :premises (@p390 @p365)) % 15.63/15.95 (step @p392 :rule refl :args (@t30)) % 15.63/15.95 (step @p393 :rule nary_cong :premises (@p392 @p391) :args (@t108)) % 15.63/15.95 (step @p394 :rule cong :premises (@p393) :args (@t109)) % 15.63/15.95 (step @p395 :rule trans :premises (@p394 @p338)) % 15.63/15.95 (step @p396 :rule refl :args (@t110)) % 15.63/15.95 (step @p397 :rule nary_cong :premises (@p396 @p395) :args (@t111)) % 15.63/15.95 (step @p398 :rule cong :premises (@p397) :args (@t112)) % 15.63/15.95 (step @p399 :rule trans :premises (@p398 @p317)) % 15.63/15.95 (step @p400 :rule refl :args (@t114)) % 15.63/15.95 (step @p401 :rule nary_cong :premises (@p400 @p220 @p399 @p296) :args (@t115)) % 15.63/15.95 (step @p402 :rule refl :args (@t13)) % 15.63/15.95 (step @p403 :rule cong :premises (@p402 @p401) :args (@t116)) % 15.63/15.95 (step @p404 :rule cong :premises (@p403) :args (@t117)) % 15.63/15.95 (step @p405 :rule trans :premises (@p404 @p231)) % 15.63/15.95 (step @p406 :rule refl :args (@t15)) % 15.63/15.95 (step @p407 :rule cong :premises (@p406 @p405) :args (@t118)) % 15.63/15.95 (step @p408 :rule cong :premises (@p407) :args (@t119)) % 15.63/15.95 (step @p409 :rule trans :premises (@p408 @p201)) % 15.63/15.95 (step @p410 :rule refl :args (@t21)) % 15.63/15.95 (step @p411 :rule cong :premises (@p410 @p409) :args (@t120)) % 15.63/15.95 (step @p412 :rule cong :premises (@p411) :args (@t121)) % 15.63/15.95 (step @p413 :rule trans :premises (@p412 @p166)) % 15.63/15.95 (step @p414 :rule refl :args (@t17)) % 15.63/15.95 (step @p415 :rule cong :premises (@p414 @p413) :args (@t122)) % 15.63/15.95 (step @p416 :rule cong :premises (@p415) :args (@t123)) % 15.63/15.95 (step @p417 :rule trans :premises (@p416 @p157)) % 15.63/15.95 (step @p418 :rule cong :premises (@p417) :args (@t124)) % 15.63/15.95 (step @p419 :rule eq_resolve :premises (@p96 @p418)) % 15.63/15.95 (step @p420 :rule not_or_elim :premises (@p419) :args (1)) % 15.63/15.95 (step @p421 :rule skolemize :premises (@p420)) % 15.63/15.95 (step @p422 :rule bool-double-not-elim :args (@t324)) % 15.63/15.95 (step @p423 :rule refl :args (@t344)) % 15.63/15.95 (step @p424 :rule nary_cong :premises (@p423 @p422) :args ((or @t344 (not @t343)))) % 15.63/15.95 (step @p425 :rule cnf_or_neg :args (@t344 1)) % 15.63/15.95 (step @p426 :rule eq_resolve :premises (@p425 @p424)) % 15.63/15.95 (step @p427 :rule reordering :premises (@p426) :args ((or @t324 @t344))) % 15.63/15.95 (step @p428 :rule chain_m_resolution :premises (@p427 @p421) :args (@t324 @t345 @t346)) % 15.63/15.95 (step @p429 :rule aci_norm :args ((= (or @t342 @t340 @t338 false @t336 @t349) @t350))) % 15.63/15.95 (step @p430 :rule refl :args (@t349)) % 15.63/15.95 (step @p431 :rule refl :args (@t336)) % 15.63/15.95 (step @p432 :rule eq-refl :args (@t323)) % 15.63/15.95 (step @p433 :rule cong :premises (@p432) :args (@t351)) % 15.63/15.95 (step @p434 :rule trans :premises (@p433 @p101)) % 15.63/15.95 (step @p435 :rule refl :args (@t338)) % 15.63/15.95 (step @p436 :rule refl :args (@t340)) % 15.63/15.95 (step @p437 :rule refl :args (@t342)) % 15.63/15.95 (step @p438 :rule nary_cong :premises (@p437 @p436 @p435 @p434 @p431 @p430) :args (@t352)) % 15.63/15.95 (step @p439 :rule trans :premises (@p438 @p429)) % 15.63/15.95 (step @p440 :rule refl :args (@t324)) % 15.63/15.95 (step @p441 :rule cong :premises (@p440 @p439) :args ((=> @t324 @t352))) % 15.63/15.95 (assume-push @p508 @t324) % 15.63/15.95 (step @p443 :rule instantiate :premises (@p428) :args ((@list @t321 @t322 @t320 @t325))) % 15.63/15.95 (step-pop @p509 :rule scope :premises (@p443)) % 15.63/15.95 (step @p444 :rule process_scope :premises (@p509) :args (@t352)) % 15.63/15.95 (step @p446 :rule eq_resolve :premises (@p444 @p441)) % 15.63/15.95 (step @p447 :rule implies_elim :premises (@p446)) % 15.63/15.95 (step @p448 :rule chain_m_resolution :premises (@p447 @p428) :args (@t350 @t353 (@list @t324))) % 15.63/15.95 (step @p449 :rule bool-double-not-elim :args (@t335)) % 15.63/15.95 (step @p450 :rule nary_cong :premises (@p423 @p449) :args ((or @t344 (not @t336)))) % 15.63/15.95 (step @p451 :rule cnf_or_neg :args (@t344 5)) % 15.63/15.95 (step @p452 :rule eq_resolve :premises (@p451 @p450)) % 15.63/15.95 (step @p453 :rule reordering :premises (@p452) :args ((or @t335 @t344))) % 15.63/15.95 (step @p454 :rule chain_m_resolution :premises (@p453 @p421) :args (@t335 @t345 @t346)) % 15.63/15.95 (step @p455 :rule bool-double-not-elim :args (@t337)) % 15.63/15.95 (step @p456 :rule nary_cong :premises (@p423 @p455) :args ((or @t344 (not @t338)))) % 15.63/15.95 (step @p457 :rule cnf_or_neg :args (@t344 4)) % 15.63/15.95 (step @p458 :rule eq_resolve :premises (@p457 @p456)) % 15.63/15.95 (step @p459 :rule reordering :premises (@p458) :args ((or @t337 @t344))) % 15.63/15.95 (step @p460 :rule chain_m_resolution :premises (@p459 @p421) :args (@t337 @t345 @t346)) % 15.63/15.95 (step @p461 :rule bool-double-not-elim :args (@t339)) % 15.63/15.95 (step @p462 :rule nary_cong :premises (@p423 @p461) :args ((or @t344 (not @t340)))) % 15.63/15.95 (step @p463 :rule cnf_or_neg :args (@t344 3)) % 15.63/15.95 (step @p464 :rule eq_resolve :premises (@p463 @p462)) % 15.63/15.95 (step @p465 :rule reordering :premises (@p464) :args ((or @t339 @t344))) % 15.63/15.95 (step @p466 :rule chain_m_resolution :premises (@p465 @p421) :args (@t339 @t345 @t346)) % 15.63/15.95 (step @p467 :rule bool-double-not-elim :args (@t341)) % 15.63/15.95 (step @p468 :rule nary_cong :premises (@p423 @p467) :args ((or @t344 (not @t342)))) % 15.63/15.95 (step @p469 :rule cnf_or_neg :args (@t344 2)) % 15.63/15.95 (step @p470 :rule eq_resolve :premises (@p469 @p468)) % 15.63/15.95 (step @p471 :rule reordering :premises (@p470) :args ((or @t341 @t344))) % 15.63/15.95 (step @p472 :rule chain_m_resolution :premises (@p471 @p421) :args (@t341 @t345 @t346)) % 15.63/15.95 (step @p473 :rule cnf_or_pos :args (@t350)) % 15.63/15.95 (step @p474 :rule reordering :premises (@p473) :args ((or @t342 @t340 @t338 @t336 @t349 (not @t350)))) % 15.63/15.95 (step @p475 :rule chain_m_resolution :premises (@p474 @p472 @p466 @p460 @p454 @p448) :args (@t349 (@list false false false false false) (@list @t341 @t339 @t337 @t335 @t350))) % 15.63/15.95 (step @p476 :rule cnf_and_pos :args (@t349 1)) % 15.63/15.95 (step @p477 :rule reordering :premises (@p476) :args ((or @t347 @t354))) % 15.63/15.95 (step @p478 :rule chain_m_resolution :premises (@p477 @p475) :args (@t347 @t353 @t355)) % 15.63/15.95 (step @p479 :rule bool-double-not-elim :args (@t327)) % 15.63/15.95 (step @p480 :rule refl :args (@t329)) % 15.63/15.95 (step @p481 :rule nary_cong :premises (@p480 @p479) :args ((or @t329 (not @t328)))) % 15.63/15.95 (step @p482 :rule cnf_or_neg :args (@t329 0)) % 15.63/15.95 (step @p483 :rule eq_resolve :premises (@p482 @p481)) % 15.63/15.95 (step @p484 :rule reordering :premises (@p483) :args ((or @t327 @t329))) % 15.63/15.95 (step @p485 :rule cnf_or_neg :args (@t329 1)) % 15.63/15.95 (step @p486 :rule cnf_and_pos :args (@t349 0)) % 15.63/15.95 (step @p487 :rule reordering :premises (@p486) :args ((or @t348 @t354))) % 15.63/15.95 (step @p488 :rule chain_m_resolution :premises (@p487 @p475) :args (@t348 @t353 @t355)) % 15.63/15.95 (step @p489 :rule cnf_or_pos :args (@t348)) % 15.63/15.95 (step @p490 :rule reordering :premises (@p489) :args ((or @t328 @t326 (not @t348)))) % 15.63/15.95 (step @p491 :rule chain_m_resolution :premises (@p490 @p488 @p485 @p484) :args (@t329 (@list false true false) (@list @t348 @t326 @t327))) % 15.63/15.95 (step @p492 :rule cnf_or_neg :args (@t344 6)) % 15.63/15.95 (step @p493 :rule chain_m_resolution :premises (@p492 @p421) :args ((not @t334) @t345 @t346)) % 15.63/15.95 (step @p494 :rule cnf_and_neg :args (@t334)) % 15.63/15.95 (step @p495 :rule chain_m_resolution :premises (@p494 @p493 @p491) :args ((not @t333) (@list true false) (@list @t334 @t329))) % 15.63/15.95 (step @p496 :rule bool-double-not-elim :args (@t331)) % 15.63/15.95 (step @p497 :rule refl :args (@t333)) % 15.63/15.95 (step @p498 :rule nary_cong :premises (@p497 @p496) :args ((or @t333 (not @t332)))) % 15.63/15.95 (step @p499 :rule cnf_or_neg :args (@t333 0)) % 15.63/15.95 (step @p500 :rule eq_resolve :premises (@p499 @p498)) % 15.63/15.95 (step @p501 :rule reordering :premises (@p500) :args ((or @t331 @t333))) % 15.63/15.95 (step @p502 :rule chain_m_resolution :premises (@p501 @p495) :args (@t331 @t345 @t356)) % 15.63/15.95 (step @p503 :rule cnf_or_neg :args (@t333 1)) % 15.63/15.95 (step @p504 :rule chain_m_resolution :premises (@p503 @p495) :args ((not @t330) @t345 @t356)) % 15.63/15.95 (step @p505 :rule cnf_or_pos :args (@t347)) % 15.63/15.95 (step @p506 :rule reordering :premises (@p505) :args ((or @t332 @t330 (not @t347)))) % 15.63/15.95 (step @p507 false :rule chain_m_resolution :premises (@p506 @p504 @p502 @p478) :args (false (@list true false false) (@list @t330 @t331 @t347))) % 15.63/15.95 ) % 15.63/15.95 % SZS output end Proof % 15.63/15.95 % cvc5 exiting %------------------------------------------------------------------------------