%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC380+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 : 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 08:59:05 AM UTC 2026 % Result : Theorem 16.34s 16.51s % Output : Proof 16.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC380+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 % 0.15/0.34 % Computer : n019.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:45:04 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 16.34/16.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.34/16.51 --- Run --no-e-matching --full-saturate-quant at 6... % 16.34/16.51 % SZS status Theorem % 16.34/16.51 % SZS output start Proof % 16.34/16.51 ( % 16.34/16.51 (declare-sort $$unsorted 0) % 16.34/16.51 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 16.34/16.51 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 16.34/16.51 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 16.34/16.51 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 16.34/16.51 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 16.34/16.51 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 16.34/16.51 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 16.34/16.51 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 16.34/16.51 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 16.34/16.51 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 16.34/16.51 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 16.34/16.51 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 16.34/16.51 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 16.34/16.51 (declare-const tptp.nil $$unsorted) % 16.34/16.51 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 16.34/16.51 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 16.34/16.51 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 16.34/16.51 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 16.34/16.51 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 16.34/16.51 (declare-const tptp.ssList (-> $$unsorted Bool)) % 16.34/16.51 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 16.34/16.51 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 16.34/16.51 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 16.34/16.51 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 16.34/16.51 (define @t1 () (@var "V" $$unsorted)) % 16.34/16.51 (define @t2 () (@var "U" $$unsorted)) % 16.34/16.51 (define @t3 () (= @t2 @t1)) % 16.34/16.51 (define @t4 () (not @t3)) % 16.34/16.51 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 16.34/16.51 (define @t6 () (tptp.ssItem @t1)) % 16.34/16.51 (define @t7 () (@list @t1)) % 16.34/16.51 (define @t8 () (tptp.ssItem @t2)) % 16.34/16.51 (define @t9 () (@list @t2)) % 16.34/16.51 (define @t10 () (@var "X" $$unsorted)) % 16.34/16.51 (define @t11 () (tptp.cons @t1 @t10)) % 16.34/16.51 (define @t12 () (@var "W" $$unsorted)) % 16.34/16.51 (define @t13 () (tptp.ssList @t10)) % 16.34/16.51 (define @t14 () (@list @t10)) % 16.34/16.51 (define @t15 () (tptp.ssList @t12)) % 16.34/16.51 (define @t16 () (@list @t12)) % 16.34/16.51 (define @t17 () (tptp.ssList @t2)) % 16.34/16.51 (define @t18 () (tptp.cons @t1 tptp.nil)) % 16.34/16.51 (define @t19 () (tptp.app @t1 @t12)) % 16.34/16.51 (define @t20 () (tptp.frontsegP @t2 @t1)) % 16.34/16.51 (define @t21 () (tptp.ssList @t1)) % 16.34/16.51 (define @t22 () (tptp.app @t12 @t1)) % 16.34/16.51 (define @t23 () (tptp.rearsegP @t2 @t1)) % 16.34/16.51 (define @t24 () (tptp.segmentP @t2 @t1)) % 16.34/16.51 (define @t25 () (tptp.leq @t12 @t1)) % 16.34/16.51 (define @t26 () (tptp.leq @t1 @t12)) % 16.34/16.51 (define @t27 () (@var "Z" $$unsorted)) % 16.34/16.51 (define @t28 () (@var "Y" $$unsorted)) % 16.34/16.51 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 16.34/16.51 (define @t30 () (tptp.ssList @t27)) % 16.34/16.51 (define @t31 () (@list @t27)) % 16.34/16.51 (define @t32 () (tptp.ssList @t28)) % 16.34/16.51 (define @t33 () (@list @t28)) % 16.34/16.51 (define @t34 () (tptp.ssItem @t12)) % 16.34/16.51 (define @t35 () (tptp.lt @t1 @t12)) % 16.34/16.51 (define @t36 () (= @t1 @t12)) % 16.34/16.51 (define @t37 () (forall @t7 (=> @t21 @t5))) % 16.34/16.51 (define @t38 () (=> @t17 @t37)) % 16.34/16.51 (define @t39 () (forall @t9 @t38)) % 16.34/16.51 (define @t40 () (tptp.cons @t1 @t2)) % 16.34/16.51 (define @t41 () (tptp.ssList tptp.nil)) % 16.34/16.51 (define @t42 () (not (= @t40 @t2))) % 16.34/16.51 (define @t43 () (=> @t6 @t42)) % 16.34/16.51 (define @t44 () (forall @t7 @t43)) % 16.34/16.51 (define @t45 () (=> @t17 @t44)) % 16.34/16.51 (define @t46 () (forall @t9 @t45)) % 16.34/16.51 (define @t47 () (= @t1 @t2)) % 16.34/16.51 (define @t48 () (tptp.cons @t12 @t1)) % 16.34/16.51 (define @t49 () (= tptp.nil @t2)) % 16.34/16.51 (define @t50 () (tptp.hd @t2)) % 16.34/16.51 (define @t51 () (not @t49)) % 16.34/16.51 (define @t52 () (tptp.hd @t40)) % 16.34/16.51 (define @t53 () (=> @t6 (= @t52 @t1))) % 16.34/16.51 (define @t54 () (forall @t7 @t53)) % 16.34/16.51 (define @t55 () (=> @t17 @t54)) % 16.34/16.51 (define @t56 () (forall @t9 @t55)) % 16.34/16.51 (define @t57 () (tptp.tl @t2)) % 16.34/16.51 (define @t58 () (tptp.ssList @t57)) % 16.34/16.51 (define @t59 () (=> @t51 @t58)) % 16.34/16.51 (define @t60 () (=> @t17 @t59)) % 16.34/16.51 (define @t61 () (forall @t9 @t60)) % 16.34/16.51 (define @t62 () (tptp.app @t2 @t1)) % 16.34/16.51 (define @t63 () (tptp.app @t1 @t2)) % 16.34/16.51 (define @t64 () (tptp.leq @t1 @t2)) % 16.34/16.51 (define @t65 () (tptp.leq @t2 @t1)) % 16.34/16.51 (define @t66 () (tptp.geq @t2 @t1)) % 16.34/16.51 (define @t67 () (tptp.lt @t1 @t2)) % 16.34/16.51 (define @t68 () (tptp.lt @t2 @t1)) % 16.34/16.51 (define @t69 () (tptp.lt @t2 @t12)) % 16.34/16.51 (define @t70 () (tptp.gt @t2 @t1)) % 16.34/16.51 (define @t71 () (tptp.memberP @t12 @t2)) % 16.34/16.51 (define @t72 () (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t71))) % 16.34/16.51 (define @t73 () (forall @t16 (=> @t15 @t72))) % 16.34/16.51 (define @t74 () (=> @t6 @t73)) % 16.34/16.51 (define @t75 () (forall @t7 @t74)) % 16.34/16.51 (define @t76 () (=> @t8 @t75)) % 16.34/16.51 (define @t77 () (forall @t9 @t76)) % 16.34/16.51 (define @t78 () (tptp.app @t12 @t2)) % 16.34/16.51 (define @t79 () (tptp.cons @t2 tptp.nil)) % 16.34/16.51 (define @t80 () (tptp.hd @t1)) % 16.34/16.51 (define @t81 () (= tptp.nil @t1)) % 16.34/16.51 (define @t82 () (not @t81)) % 16.34/16.51 (define @t83 () (tptp.cons @t2 @t1)) % 16.34/16.51 (define @t84 () (tptp.cons @t50 @t57)) % 16.34/16.51 (define @t85 () (=> @t51 (= @t84 @t2))) % 16.34/16.51 (define @t86 () (=> @t17 @t85)) % 16.34/16.51 (define @t87 () (forall @t9 @t86)) % 16.34/16.51 (define @t88 () (= @t12 @t2)) % 16.34/16.51 (define @t89 () (tptp.hd @t62)) % 16.34/16.51 (define @t90 () (=> @t51 (= @t89 @t50))) % 16.34/16.51 (define @t91 () (=> @t21 @t90)) % 16.34/16.51 (define @t92 () (forall @t7 @t91)) % 16.34/16.51 (define @t93 () (=> @t17 @t92)) % 16.34/16.51 (define @t94 () (forall @t9 @t93)) % 16.34/16.51 (define @t95 () (tptp.neq @t1 tptp.nil)) % 16.34/16.51 (define @t96 () (not @t95)) % 16.34/16.51 (define @t97 () (or @t96 (tptp.neq @t10 tptp.nil))) % 16.34/16.51 (define @t98 () (@var "X1" $$unsorted)) % 16.34/16.51 (define @t99 () (tptp.cons @t27 tptp.nil)) % 16.34/16.51 (define @t100 () (tptp.app @t99 @t98)) % 16.34/16.51 (define @t101 () (not (= @t100 @t10))) % 16.34/16.51 (define @t102 () (not (= @t99 @t12))) % 16.34/16.51 (define @t103 () (or @t102 @t101)) % 16.34/16.51 (define @t104 () (tptp.ssList @t98)) % 16.34/16.51 (define @t105 () (=> @t104 @t103)) % 16.34/16.51 (define @t106 () (@list @t98)) % 16.34/16.51 (define @t107 () (forall @t106 @t105)) % 16.34/16.51 (define @t108 () (tptp.ssItem @t27)) % 16.34/16.51 (define @t109 () (=> @t108 @t107)) % 16.34/16.51 (define @t110 () (forall @t31 @t109)) % 16.34/16.51 (define @t111 () (tptp.memberP @t1 @t28)) % 16.34/16.51 (define @t112 () (tptp.cons @t28 tptp.nil)) % 16.34/16.51 (define @t113 () (tptp.ssItem @t28)) % 16.34/16.51 (define @t114 () (and @t113 (= @t112 @t2) @t111)) % 16.34/16.51 (define @t115 () (exists @t33 @t114)) % 16.34/16.51 (define @t116 () (or @t96 @t115 @t110)) % 16.34/16.51 (define @t117 () (and @t116 @t97)) % 16.34/16.51 (define @t118 () (not (= @t2 @t12))) % 16.34/16.51 (define @t119 () (not (= @t1 @t10))) % 16.34/16.51 (define @t120 () (or @t119 @t118 @t117)) % 16.34/16.51 (define @t121 () (=> @t13 @t120)) % 16.34/16.51 (define @t122 () (forall @t14 @t121)) % 16.34/16.51 (define @t123 () (=> @t15 @t122)) % 16.34/16.51 (define @t124 () (forall @t16 @t123)) % 16.34/16.51 (define @t125 () (=> @t21 @t124)) % 16.34/16.51 (define @t126 () (forall @t7 @t125)) % 16.34/16.51 (define @t127 () (=> @t17 @t126)) % 16.34/16.51 (define @t128 () (forall @t9 @t127)) % 16.34/16.51 (define @t129 () (not @t128)) % 16.34/16.51 (define @t130 () (@var "BOUND_VARIABLE_9713" $$unsorted)) % 16.34/16.51 (define @t131 () (@var "BOUND_VARIABLE_9711" $$unsorted)) % 16.34/16.51 (define @t132 () (= (tptp.memberP (tptp.cons @t131 @t130) @t2) (or (= @t2 @t131) (tptp.memberP @t130 @t2)))) % 16.34/16.51 (define @t133 () (not (tptp.ssList @t130))) % 16.34/16.51 (define @t134 () (not (tptp.ssItem @t131))) % 16.34/16.51 (define @t135 () (not @t8)) % 16.34/16.51 (define @t136 () (or @t135 @t134 @t133 @t132)) % 16.34/16.51 (define @t137 () (or @t134 @t133 @t132)) % 16.34/16.51 (define @t138 () (or @t135 @t137)) % 16.34/16.51 (define @t139 () (@list @t2 @t131 @t130)) % 16.34/16.51 (define @t140 () (forall @t139 @t138)) % 16.34/16.51 (define @t141 () (@list @t131 @t130)) % 16.34/16.51 (define @t142 () (forall @t141 @t138)) % 16.34/16.51 (define @t143 () (forall @t141 @t137)) % 16.34/16.51 (define @t144 () (@var "BOUND_VARIABLE_9692" $$unsorted)) % 16.34/16.51 (define @t145 () (or @t135 @t143)) % 16.34/16.51 (define @t146 () (= (tptp.memberP (tptp.cons @t1 @t144) @t2) (or @t3 (tptp.memberP @t144 @t2)))) % 16.34/16.51 (define @t147 () (not (tptp.ssList @t144))) % 16.34/16.51 (define @t148 () (not @t6)) % 16.34/16.51 (define @t149 () (or @t148 @t147 @t146)) % 16.34/16.51 (define @t150 () (@list @t1 @t144)) % 16.34/16.51 (define @t151 () (forall @t150 @t149)) % 16.34/16.51 (define @t152 () (or @t147 @t146)) % 16.34/16.51 (define @t153 () (or @t148 @t152)) % 16.34/16.51 (define @t154 () (forall @t150 @t153)) % 16.34/16.51 (define @t155 () (@list @t144)) % 16.34/16.51 (define @t156 () (forall @t155 @t153)) % 16.34/16.51 (define @t157 () (forall @t155 @t152)) % 16.34/16.51 (define @t158 () (or @t148 @t157)) % 16.34/16.51 (define @t159 () (not @t15)) % 16.34/16.51 (define @t160 () (forall @t16 (or @t159 @t72))) % 16.34/16.51 (define @t161 () (@var "BOUND_VARIABLE_11127" $$unsorted)) % 16.34/16.51 (define @t162 () (not (tptp.ssList @t161))) % 16.34/16.51 (define @t163 () (@var "BOUND_VARIABLE_11125" $$unsorted)) % 16.34/16.51 (define @t164 () (not (tptp.ssItem @t163))) % 16.34/16.51 (define @t165 () (tptp.cons @t163 tptp.nil)) % 16.34/16.51 (define @t166 () (tptp.app @t165 @t161)) % 16.34/16.51 (define @t167 () (not (tptp.memberP @t166 @t28))) % 16.34/16.51 (define @t168 () (not @t113)) % 16.34/16.51 (define @t169 () (not (forall @t33 (or @t168 (not (= @t112 @t165)) @t167)))) % 16.34/16.51 (define @t170 () (not (tptp.neq @t166 tptp.nil))) % 16.34/16.51 (define @t171 () (not (tptp.ssList @t166))) % 16.34/16.51 (define @t172 () (not (tptp.ssList @t165))) % 16.34/16.51 (define @t173 () (or @t172 @t171 @t170 @t169 @t164 @t162)) % 16.34/16.51 (define @t174 () (@list @t163 @t161)) % 16.34/16.51 (define @t175 () (forall @t174 @t173)) % 16.34/16.51 (define @t176 () (@quantifiers_skolemize @t175 0)) % 16.34/16.51 (define @t177 () (@quantifiers_skolemize @t175 1)) % 16.34/16.51 (define @t178 () (tptp.cons @t176 tptp.nil)) % 16.34/16.51 (define @t179 () (tptp.app @t178 @t177)) % 16.34/16.51 (define @t180 () (tptp.tl @t179)) % 16.34/16.51 (define @t181 () (tptp.memberP (tptp.cons @t176 @t180) @t176)) % 16.34/16.51 (define @t182 () (tptp.memberP @t180 @t176)) % 16.34/16.51 (define @t183 () (or (= @t176 @t176) @t182)) % 16.34/16.51 (define @t184 () (= @t181 @t183)) % 16.34/16.51 (define @t185 () (tptp.ssList @t180)) % 16.34/16.51 (define @t186 () (not @t185)) % 16.34/16.51 (define @t187 () (tptp.ssItem @t176)) % 16.34/16.51 (define @t188 () (not @t187)) % 16.34/16.51 (define @t189 () (or @t188 @t188 @t186 @t184)) % 16.34/16.51 (define @t190 () (forall @t139 @t136)) % 16.34/16.51 (define @t191 () (or @t188 @t188 @t186 @t181)) % 16.34/16.51 (define @t192 () (@list false)) % 16.34/16.51 (define @t193 () (= @t2 tptp.nil)) % 16.34/16.51 (define @t194 () (not @t17)) % 16.34/16.51 (define @t195 () (or @t194 @t193 @t58)) % 16.34/16.51 (define @t196 () (not @t193)) % 16.34/16.51 (define @t197 () (not @t196)) % 16.34/16.51 (define @t198 () (=> @t196 @t58)) % 16.34/16.51 (define @t199 () (tptp.ssList @t179)) % 16.34/16.51 (define @t200 () (not @t199)) % 16.34/16.51 (define @t201 () (= @t179 tptp.nil)) % 16.34/16.51 (define @t202 () (or @t200 @t201 @t185)) % 16.34/16.51 (define @t203 () (forall @t9 @t195)) % 16.34/16.51 (define @t204 () (@list @t179)) % 16.34/16.51 (define @t205 () (= tptp.nil @t179)) % 16.34/16.51 (define @t206 () (or @t200 @t205 @t185)) % 16.34/16.51 (define @t207 () (@var "BOUND_VARIABLE_9114" $$unsorted)) % 16.34/16.51 (define @t208 () (= (tptp.neq @t2 @t207) (not (= @t2 @t207)))) % 16.34/16.51 (define @t209 () (not (tptp.ssList @t207))) % 16.34/16.51 (define @t210 () (or @t194 @t209 @t208)) % 16.34/16.51 (define @t211 () (or @t209 @t208)) % 16.34/16.51 (define @t212 () (or @t194 @t211)) % 16.34/16.51 (define @t213 () (@list @t2 @t207)) % 16.34/16.51 (define @t214 () (forall @t213 @t212)) % 16.34/16.51 (define @t215 () (@list @t207)) % 16.34/16.51 (define @t216 () (forall @t215 @t212)) % 16.34/16.51 (define @t217 () (forall @t215 @t211)) % 16.34/16.51 (define @t218 () (@list @t1)) % 16.34/16.51 (define @t219 () (or @t194 @t217)) % 16.34/16.51 (define @t220 () (not @t21)) % 16.34/16.51 (define @t221 () (forall @t7 (or @t220 @t5))) % 16.34/16.51 (define @t222 () (not @t201)) % 16.34/16.51 (define @t223 () (tptp.neq @t179 tptp.nil)) % 16.34/16.51 (define @t224 () (= @t223 @t222)) % 16.34/16.51 (define @t225 () (not @t41)) % 16.34/16.51 (define @t226 () (or @t200 @t225 @t224)) % 16.34/16.51 (define @t227 () (forall @t213 @t210)) % 16.34/16.51 (define @t228 () (not @t205)) % 16.34/16.51 (define @t229 () (= @t223 @t228)) % 16.34/16.51 (define @t230 () (or @t200 @t225 @t229)) % 16.34/16.51 (define @t231 () (not (= @t165 @t165))) % 16.34/16.51 (define @t232 () (not (= @t165 @t112))) % 16.34/16.51 (define @t233 () (or @t168 @t232 @t167)) % 16.34/16.51 (define @t234 () (forall @t33 @t233)) % 16.34/16.51 (define @t235 () (not @t234)) % 16.34/16.51 (define @t236 () (or @t172 @t171 @t170 @t235 @t164 @t231 @t162)) % 16.34/16.51 (define @t237 () (not (= @t2 @t165))) % 16.34/16.51 (define @t238 () (= @t2 @t112)) % 16.34/16.51 (define @t239 () (not @t238)) % 16.34/16.51 (define @t240 () (not (forall @t33 (or @t168 @t239 @t167)))) % 16.34/16.51 (define @t241 () (or @t237 @t194 @t171 @t170 @t240 @t164 @t237 @t162)) % 16.34/16.51 (define @t242 () (or @t194 @t171 @t170 @t240 @t164 @t237 @t162)) % 16.34/16.51 (define @t243 () (forall @t9 @t242)) % 16.34/16.51 (define @t244 () (forall @t174 @t243)) % 16.34/16.51 (define @t245 () (forall (@list @t163 @t161 @t2) @t242)) % 16.34/16.51 (define @t246 () (@list @t2 @t163 @t161)) % 16.34/16.51 (define @t247 () (or @t171 @t170 @t240 @t164 @t237 @t162)) % 16.34/16.51 (define @t248 () (or @t194 @t247)) % 16.34/16.51 (define @t249 () (forall @t246 @t248)) % 16.34/16.51 (define @t250 () (forall @t174 @t248)) % 16.34/16.51 (define @t251 () (forall @t174 @t247)) % 16.34/16.51 (define @t252 () (@var "BOUND_VARIABLE_11086" $$unsorted)) % 16.34/16.51 (define @t253 () (@var "BOUND_VARIABLE_11084" $$unsorted)) % 16.34/16.51 (define @t254 () (@list @t253 @t252)) % 16.34/16.51 (define @t255 () (or @t194 @t251)) % 16.34/16.51 (define @t256 () (not (tptp.ssList @t252))) % 16.34/16.51 (define @t257 () (tptp.cons @t253 tptp.nil)) % 16.34/16.51 (define @t258 () (not (= @t2 @t257))) % 16.34/16.51 (define @t259 () (not (tptp.ssItem @t253))) % 16.34/16.51 (define @t260 () (tptp.app @t257 @t252)) % 16.34/16.51 (define @t261 () (not (forall @t33 (or @t168 @t239 (not (tptp.memberP @t260 @t28)))))) % 16.34/16.51 (define @t262 () (not (tptp.neq @t260 tptp.nil))) % 16.34/16.51 (define @t263 () (not (tptp.ssList @t260))) % 16.34/16.51 (define @t264 () (or @t263 @t262 @t261 @t259 @t258 @t256)) % 16.34/16.51 (define @t265 () (@list @t253 @t252)) % 16.34/16.51 (define @t266 () (or @t194 (forall @t265 @t264))) % 16.34/16.51 (define @t267 () (not (= @t260 @t260))) % 16.34/16.51 (define @t268 () (or @t263 @t262 @t261 @t259 @t258 @t256 @t267)) % 16.34/16.51 (define @t269 () (not (= @t1 @t260))) % 16.34/16.51 (define @t270 () (not @t111)) % 16.34/16.51 (define @t271 () (or @t168 @t239 @t270)) % 16.34/16.51 (define @t272 () (not (forall @t33 @t271))) % 16.34/16.51 (define @t273 () (or @t269 @t220 @t96 @t272 @t259 @t258 @t256 @t269)) % 16.34/16.51 (define @t274 () (or @t220 @t96 @t272 @t259 @t258 @t256 @t269)) % 16.34/16.51 (define @t275 () (forall @t7 @t274)) % 16.34/16.51 (define @t276 () (forall @t265 @t275)) % 16.34/16.51 (define @t277 () (forall (@list @t253 @t252 @t1) @t274)) % 16.34/16.51 (define @t278 () (@list @t1 @t253 @t252)) % 16.34/16.51 (define @t279 () (or @t259 @t258 @t256 @t269)) % 16.34/16.51 (define @t280 () (or @t220 @t96 @t272 @t279)) % 16.34/16.51 (define @t281 () (forall @t278 @t280)) % 16.34/16.51 (define @t282 () (forall @t265 @t280)) % 16.34/16.51 (define @t283 () (forall @t265 @t279)) % 16.34/16.51 (define @t284 () (@var "BOUND_VARIABLE_11045" $$unsorted)) % 16.34/16.51 (define @t285 () (@var "BOUND_VARIABLE_11043" $$unsorted)) % 16.34/16.51 (define @t286 () (@list @t285 @t284)) % 16.34/16.51 (define @t287 () (or @t220 @t96 @t272 @t283)) % 16.34/16.51 (define @t288 () (tptp.cons @t285 tptp.nil)) % 16.34/16.51 (define @t289 () (not (= @t1 (tptp.app @t288 @t284)))) % 16.34/16.51 (define @t290 () (not (tptp.ssList @t284))) % 16.34/16.51 (define @t291 () (not (= @t2 @t288))) % 16.34/16.51 (define @t292 () (not (tptp.ssItem @t285))) % 16.34/16.51 (define @t293 () (or @t292 @t291 @t290 @t289)) % 16.34/16.51 (define @t294 () (@list @t285 @t284)) % 16.34/16.51 (define @t295 () (forall @t294 @t293)) % 16.34/16.51 (define @t296 () (or @t220 @t96 @t272 @t295)) % 16.34/16.51 (define @t297 () (forall @t7 @t296)) % 16.34/16.51 (define @t298 () (or @t194 @t297)) % 16.34/16.51 (define @t299 () (or @t194 @t296)) % 16.34/16.51 (define @t300 () (or @t220 @t96 @t272 @t194 @t295)) % 16.34/16.51 (define @t301 () (or @t194 @t295)) % 16.34/16.51 (define @t302 () (or @t194 @t293)) % 16.34/16.51 (define @t303 () (or @t194 @t292 @t291 @t290 @t289)) % 16.34/16.51 (define @t304 () (not (= @t2 @t2))) % 16.34/16.51 (define @t305 () (or @t194 @t304 @t292 @t291 @t290 @t289)) % 16.34/16.51 (define @t306 () (not (= @t12 @t288))) % 16.34/16.51 (define @t307 () (or @t118 @t159 @t118 @t292 @t306 @t290 @t289)) % 16.34/16.51 (define @t308 () (or @t159 @t118 @t292 @t306 @t290 @t289)) % 16.34/16.51 (define @t309 () (forall @t16 @t308)) % 16.34/16.51 (define @t310 () (forall @t294 @t309)) % 16.34/16.51 (define @t311 () (forall (@list @t285 @t284 @t12) @t308)) % 16.34/16.51 (define @t312 () (@list @t12 @t285 @t284)) % 16.34/16.51 (define @t313 () (or @t292 @t306 @t290 @t289)) % 16.34/16.51 (define @t314 () (or @t159 @t118 @t313)) % 16.34/16.51 (define @t315 () (forall @t312 @t314)) % 16.34/16.51 (define @t316 () (forall @t294 @t314)) % 16.34/16.51 (define @t317 () (forall @t294 @t313)) % 16.34/16.51 (define @t318 () (@var "BOUND_VARIABLE_10992" $$unsorted)) % 16.34/16.51 (define @t319 () (@var "BOUND_VARIABLE_10990" $$unsorted)) % 16.34/16.51 (define @t320 () (@list @t319 @t318)) % 16.34/16.51 (define @t321 () (or @t159 @t118 @t317)) % 16.34/16.51 (define @t322 () (tptp.cons @t319 tptp.nil)) % 16.34/16.51 (define @t323 () (tptp.app @t322 @t318)) % 16.34/16.51 (define @t324 () (not (= @t1 @t323))) % 16.34/16.51 (define @t325 () (not (tptp.ssList @t318))) % 16.34/16.51 (define @t326 () (not (= @t12 @t322))) % 16.34/16.51 (define @t327 () (not (tptp.ssItem @t319))) % 16.34/16.51 (define @t328 () (or @t327 @t326 @t325 @t324)) % 16.34/16.51 (define @t329 () (@list @t319 @t318)) % 16.34/16.51 (define @t330 () (forall @t329 @t328)) % 16.34/16.51 (define @t331 () (or @t159 @t118 @t330)) % 16.34/16.51 (define @t332 () (forall @t16 @t331)) % 16.34/16.51 (define @t333 () (or @t220 @t96 @t272 @t332)) % 16.34/16.51 (define @t334 () (or @t220 @t96 @t272 @t331)) % 16.34/16.51 (define @t335 () (or @t159 @t118 @t220 @t96 @t272 @t330)) % 16.34/16.51 (define @t336 () (or @t118 @t220 @t96 @t272 @t330)) % 16.34/16.51 (define @t337 () (or @t220 @t96 @t272 @t330)) % 16.34/16.51 (define @t338 () (or @t220 @t96 @t272 @t328)) % 16.34/16.51 (define @t339 () (or @t220 @t96 @t272 @t327 @t326 @t325 @t324)) % 16.34/16.51 (define @t340 () (or @t96 @t272 @t327 @t326 @t325 @t324)) % 16.34/16.51 (define @t341 () (and @t340 true)) % 16.34/16.51 (define @t342 () (or @t220 @t341)) % 16.34/16.51 (define @t343 () (and @t340 (or @t96 @t95))) % 16.34/16.51 (define @t344 () (or @t220 @t343)) % 16.34/16.51 (define @t345 () (not (= @t1 @t1))) % 16.34/16.51 (define @t346 () (or @t220 @t345 @t343)) % 16.34/16.51 (define @t347 () (not (= @t10 @t323))) % 16.34/16.51 (define @t348 () (or @t96 @t272 @t327 @t326 @t325 @t347)) % 16.34/16.51 (define @t349 () (and @t348 @t97)) % 16.34/16.51 (define @t350 () (not @t13)) % 16.34/16.51 (define @t351 () (or @t119 @t350 @t119 @t349)) % 16.34/16.51 (define @t352 () (or @t350 @t119 @t349)) % 16.34/16.51 (define @t353 () (forall @t14 @t352)) % 16.34/16.51 (define @t354 () (forall @t329 @t353)) % 16.34/16.51 (define @t355 () (forall (@list @t319 @t318 @t10) @t352)) % 16.34/16.51 (define @t356 () (@list @t10 @t319 @t318)) % 16.34/16.51 (define @t357 () (or @t327 @t326 @t325 @t347)) % 16.34/16.51 (define @t358 () (or @t96 @t272 @t357)) % 16.34/16.51 (define @t359 () (and @t358 @t97)) % 16.34/16.51 (define @t360 () (or @t350 @t119 @t359)) % 16.34/16.51 (define @t361 () (forall @t356 @t360)) % 16.34/16.51 (define @t362 () (forall @t329 @t360)) % 16.34/16.51 (define @t363 () (forall @t329 @t97)) % 16.34/16.51 (define @t364 () (forall @t329 @t357)) % 16.34/16.51 (define @t365 () (@var "BOUND_VARIABLE_10967" $$unsorted)) % 16.34/16.51 (define @t366 () (or @t96 @t272 @t364)) % 16.34/16.51 (define @t367 () (forall @t329 @t358)) % 16.34/16.51 (define @t368 () (and @t367 @t363)) % 16.34/16.51 (define @t369 () (forall @t329 @t359)) % 16.34/16.51 (define @t370 () (or @t350 @t119 @t369)) % 16.34/16.51 (define @t371 () (not (= @t10 (tptp.app @t99 @t365)))) % 16.34/16.51 (define @t372 () (not (tptp.ssList @t365))) % 16.34/16.51 (define @t373 () (not (= @t12 @t99))) % 16.34/16.51 (define @t374 () (not @t108)) % 16.34/16.51 (define @t375 () (or @t374 @t373 @t372 @t371)) % 16.34/16.51 (define @t376 () (@list @t27 @t365)) % 16.34/16.51 (define @t377 () (and (or @t96 @t272 (forall @t376 @t375)) @t97)) % 16.34/16.51 (define @t378 () (or @t350 @t119 @t377)) % 16.34/16.51 (define @t379 () (forall @t14 @t378)) % 16.34/16.51 (define @t380 () (or @t118 @t379)) % 16.34/16.51 (define @t381 () (or @t118 @t378)) % 16.34/16.51 (define @t382 () (or @t350 @t119 @t118 @t377)) % 16.34/16.51 (define @t383 () (or @t119 @t118 @t377)) % 16.34/16.51 (define @t384 () (or @t372 @t371)) % 16.34/16.51 (define @t385 () (or @t374 @t373 @t384)) % 16.34/16.51 (define @t386 () (forall @t376 @t385)) % 16.34/16.51 (define @t387 () (@list @t365)) % 16.34/16.51 (define @t388 () (forall @t387 @t385)) % 16.34/16.51 (define @t389 () (forall @t387 @t384)) % 16.34/16.51 (define @t390 () (or @t374 @t373 @t389)) % 16.34/16.51 (define @t391 () (not (= @t10 @t100))) % 16.34/16.51 (define @t392 () (not @t104)) % 16.34/16.51 (define @t393 () (or @t392 @t391)) % 16.34/16.51 (define @t394 () (forall @t106 @t393)) % 16.34/16.51 (define @t395 () (or @t374 @t373 @t394)) % 16.34/16.51 (define @t396 () (or @t373 @t394)) % 16.34/16.51 (define @t397 () (or @t373 @t393)) % 16.34/16.51 (define @t398 () (or @t392 @t373 @t391)) % 16.34/16.51 (define @t399 () (or @t373 @t391)) % 16.34/16.51 (define @t400 () (and @t113 @t238 @t111)) % 16.34/16.51 (define @t401 () (forall @t33 (not @t400))) % 16.34/16.51 (define @t402 () (not @t401)) % 16.34/16.51 (define @t403 () (tptp.ssList @t177)) % 16.34/16.51 (define @t404 () (not @t403)) % 16.34/16.51 (define @t405 () (forall @t33 (or @t168 (not (= @t112 @t178)) (not (tptp.memberP @t179 @t28))))) % 16.34/16.51 (define @t406 () (not @t405)) % 16.34/16.51 (define @t407 () (not @t223)) % 16.34/16.51 (define @t408 () (tptp.ssList @t178)) % 16.34/16.51 (define @t409 () (not @t408)) % 16.34/16.51 (define @t410 () (or @t409 @t200 @t407 @t406 @t188 @t404)) % 16.34/16.51 (define @t411 () (@list true)) % 16.34/16.51 (define @t412 () (@list @t410)) % 16.34/16.51 (define @t413 () (@list false false false)) % 16.34/16.51 (define @t414 () (@list false false)) % 16.34/16.51 (define @t415 () (@list false true false)) % 16.34/16.51 (define @t416 () (@var "BOUND_VARIABLE_9329" $$unsorted)) % 16.34/16.51 (define @t417 () (= @t416 (tptp.hd (tptp.cons @t416 @t2)))) % 16.34/16.51 (define @t418 () (not (tptp.ssItem @t416))) % 16.34/16.51 (define @t419 () (or @t418 @t417)) % 16.34/16.51 (define @t420 () (or @t194 @t419)) % 16.34/16.51 (define @t421 () (forall (@list @t2 @t416) @t420)) % 16.34/16.51 (define @t422 () (@list @t416)) % 16.34/16.51 (define @t423 () (forall @t422 @t420)) % 16.34/16.51 (define @t424 () (forall @t422 @t419)) % 16.34/16.51 (define @t425 () (or @t194 @t424)) % 16.34/16.51 (define @t426 () (= @t1 @t52)) % 16.34/16.51 (define @t427 () (forall @t7 (or @t148 @t426))) % 16.34/16.51 (define @t428 () (@list tptp.nil @t176)) % 16.34/16.51 (define @t429 () (tptp.hd @t178)) % 16.34/16.51 (define @t430 () (= @t176 @t429)) % 16.34/16.51 (define @t431 () (or @t225 @t188 @t430)) % 16.34/16.51 (define @t432 () (@var "BOUND_VARIABLE_10647" $$unsorted)) % 16.34/16.51 (define @t433 () (= @t50 (tptp.hd (tptp.app @t2 @t432)))) % 16.34/16.51 (define @t434 () (not (tptp.ssList @t432))) % 16.34/16.51 (define @t435 () (or @t194 @t193 @t434 @t433)) % 16.34/16.51 (define @t436 () (or @t434 @t433)) % 16.34/16.51 (define @t437 () (or @t194 @t193 @t436)) % 16.34/16.51 (define @t438 () (@list @t2 @t432)) % 16.34/16.51 (define @t439 () (forall @t438 @t437)) % 16.34/16.51 (define @t440 () (@list @t432)) % 16.34/16.51 (define @t441 () (forall @t440 @t437)) % 16.34/16.51 (define @t442 () (forall @t440 @t436)) % 16.34/16.51 (define @t443 () (or @t194 @t193 @t442)) % 16.34/16.51 (define @t444 () (= @t50 @t89)) % 16.34/16.51 (define @t445 () (or @t220 @t444)) % 16.34/16.51 (define @t446 () (forall @t7 @t445)) % 16.34/16.51 (define @t447 () (or @t194 @t193 @t446)) % 16.34/16.51 (define @t448 () (or @t193 @t446)) % 16.34/16.51 (define @t449 () (or @t193 @t445)) % 16.34/16.51 (define @t450 () (or @t220 @t193 @t444)) % 16.34/16.51 (define @t451 () (=> @t196 @t444)) % 16.34/16.51 (define @t452 () (tptp.hd @t179)) % 16.34/16.51 (define @t453 () (= @t429 @t452)) % 16.34/16.51 (define @t454 () (or @t409 (= @t178 tptp.nil) @t404 @t453)) % 16.34/16.51 (define @t455 () (forall @t438 @t435)) % 16.34/16.51 (define @t456 () (= tptp.nil @t178)) % 16.34/16.51 (define @t457 () (or @t409 @t456 @t404 @t453)) % 16.34/16.51 (define @t458 () (@var "BOUND_VARIABLE_9158" $$unsorted)) % 16.34/16.51 (define @t459 () (not (= @t2 (tptp.cons @t458 @t2)))) % 16.34/16.51 (define @t460 () (not (tptp.ssItem @t458))) % 16.34/16.51 (define @t461 () (or @t460 @t459)) % 16.34/16.51 (define @t462 () (or @t194 @t461)) % 16.34/16.51 (define @t463 () (forall (@list @t2 @t458) @t462)) % 16.34/16.51 (define @t464 () (@list @t458)) % 16.34/16.51 (define @t465 () (forall @t464 @t462)) % 16.34/16.51 (define @t466 () (forall @t464 @t461)) % 16.34/16.51 (define @t467 () (or @t194 @t466)) % 16.34/16.51 (define @t468 () (not (= @t2 @t40))) % 16.34/16.51 (define @t469 () (forall @t7 (or @t148 @t468))) % 16.34/16.51 (define @t470 () (not @t456)) % 16.34/16.51 (define @t471 () (or @t225 @t188 @t470)) % 16.34/16.51 (define @t472 () (tptp.cons @t452 @t180)) % 16.34/16.51 (define @t473 () (= @t2 @t84)) % 16.34/16.51 (define @t474 () (or @t194 @t193 @t473)) % 16.34/16.51 (define @t475 () (=> @t196 @t473)) % 16.34/16.51 (define @t476 () (= @t179 @t472)) % 16.34/16.51 (define @t477 () (or @t200 @t201 @t476)) % 16.34/16.51 (define @t478 () (forall @t9 @t474)) % 16.34/16.51 (define @t479 () (or @t200 @t205 @t476)) % 16.34/16.51 (define @t480 () (tptp.memberP @t179 @t176)) % 16.34/16.51 (define @t481 () (not @t480)) % 16.34/16.51 (define @t482 () (or @t188 @t481)) % 16.34/16.51 (define @t483 () (not (= @t178 @t178))) % 16.34/16.51 (define @t484 () (or @t188 @t483 @t481)) % 16.34/16.51 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 16.34/16.51 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 16.34/16.51 (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))))))))))) % 16.34/16.51 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 16.34/16.51 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 16.34/16.51 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 16.34/16.51 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 16.34/16.51 (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))))))))))))))))) % 16.34/16.51 (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)))))))))))))))) % 16.34/16.51 (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))))))))))))))))) % 16.34/16.51 (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))))))))))))))) % 16.34/16.51 (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))))))))))))))) % 16.34/16.51 (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)))))))))))))))) % 16.34/16.51 (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))))))))))))) % 16.34/16.51 (assume @p15 @t39) % 16.34/16.51 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t40)))))) % 16.34/16.51 (assume @p17 @t41) % 16.34/16.51 (assume @p18 @t46) % 16.34/16.51 (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) @t47))))))))))) % 16.34/16.51 (assume @p20 (forall @t9 (=> @t17 (or @t49 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t48 @t2))))))))) % 16.34/16.51 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 16.34/16.51 (assume @p22 (forall @t9 (=> @t17 (=> @t51 (tptp.ssItem @t50))))) % 16.34/16.51 (assume @p23 @t56) % 16.34/16.51 (assume @p24 @t61) % 16.34/16.51 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 16.34/16.51 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t62)))))) % 16.34/16.51 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t63) (tptp.app @t48 @t2))))))))) % 16.34/16.51 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 16.34/16.51 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t65 @t64) @t3)))))) % 16.34/16.51 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t65 @t26) (tptp.leq @t2 @t12))))))))) % 16.34/16.51 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 16.34/16.51 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t66 @t64)))))) % 16.34/16.51 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t68 (not @t67))))))) % 16.34/16.51 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t68 @t35) @t69)))))))) % 16.34/16.51 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t70 @t67)))))) % 16.34/16.51 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t71))))))))) % 16.34/16.51 (assume @p37 @t77) % 16.34/16.51 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 16.34/16.51 (assume @p39 (not (tptp.singletonP tptp.nil))) % 16.34/16.51 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 16.34/16.51 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 16.34/16.51 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 16.34/16.51 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 16.34/16.51 (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)))))))))))) % 16.34/16.51 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 16.34/16.51 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t49)))) % 16.34/16.51 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 16.34/16.51 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 16.34/16.51 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 16.34/16.51 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t78 @t1))))))))) % 16.34/16.51 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 16.34/16.51 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t49)))) % 16.34/16.51 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 16.34/16.51 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 16.34/16.51 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 16.34/16.51 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t78 @t10) @t1))))))))))) % 16.34/16.51 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 16.34/16.51 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t49)))) % 16.34/16.51 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t79)))) % 16.34/16.51 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 16.34/16.51 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t79)))) % 16.34/16.51 (assume @p62 (tptp.totalorderP tptp.nil)) % 16.34/16.51 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t79)))) % 16.34/16.51 (assume @p64 (tptp.strictorderP tptp.nil)) % 16.34/16.51 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t79)))) % 16.34/16.51 (assume @p66 (tptp.totalorderedP tptp.nil)) % 16.34/16.51 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t83) (or @t81 (and @t82 (tptp.totalorderedP @t1) (tptp.leq @t2 @t80))))))))) % 16.34/16.51 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t79)))) % 16.34/16.51 (assume @p69 (tptp.strictorderedP tptp.nil)) % 16.34/16.51 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t83) (or @t81 (and @t82 (tptp.strictorderedP @t1) (tptp.lt @t2 @t80))))))))) % 16.34/16.51 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t79)))) % 16.34/16.51 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 16.34/16.51 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t79)))) % 16.34/16.51 (assume @p74 (tptp.equalelemsP tptp.nil)) % 16.34/16.51 (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t50 @t1))))))) % 16.34/16.51 (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t21 (= @t57 @t1))))))) % 16.34/16.51 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t82 @t51 (= @t80 @t50) (= (tptp.tl @t1) @t57)) @t47)))))) % 16.34/16.51 (assume @p78 @t87) % 16.34/16.51 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t62) @t88)))))))) % 16.34/16.51 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t63) @t88)))))))) % 16.34/16.51 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 16.34/16.51 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t62 @t12) (tptp.app @t2 @t19))))))))) % 16.34/16.51 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t62) (and @t81 @t49))))))) % 16.34/16.51 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 16.34/16.51 (assume @p85 @t94) % 16.34/16.51 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.tl @t62) (tptp.app @t57 @t1)))))))) % 16.34/16.51 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t66 (tptp.geq @t1 @t2)) @t3)))))) % 16.34/16.51 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t66 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 16.34/16.51 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 16.34/16.51 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 16.34/16.51 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t65 @t35) @t69)))))))) % 16.34/16.51 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t65 (or @t3 @t68))))))) % 16.34/16.51 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t68 (and @t4 @t65))))))) % 16.34/16.51 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t70 (not (tptp.gt @t1 @t2)))))))) % 16.34/16.51 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t70 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 16.34/16.51 (assume @p96 @t129) % 16.34/16.51 (assume @p97 true) % 16.34/16.51 (step @p98 :rule evaluate :args ((= false true))) % 16.34/16.51 (step @p99 :rule aci_norm :args ((= @t138 @t136))) % 16.34/16.51 (step @p100 :rule cong :premises (@p99) :args (@t140)) % 16.34/16.51 (step @p101 :rule quant-merge-prenex :args ((= (forall @t9 @t142) @t140))) % 16.34/16.51 (step @p102 :rule alpha_equiv :args (@t143 (@list @t131 @t130) (@list @t1 @t144))) % 16.34/16.51 (step @p103 :rule refl :args (@t135)) % 16.34/16.51 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t145)) % 16.34/16.51 (step @p105 :rule quant-miniscope-or :args ((= @t142 @t145))) % 16.34/16.51 (step @p106 :rule trans :premises (@p105 @p104)) % 16.34/16.51 (step @p107 :rule symm :premises (@p106)) % 16.34/16.51 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 (or @t135 @t151)))) % 16.34/16.51 (step @p109 :rule trans :premises (@p108 @p101)) % 16.34/16.51 (step @p110 :rule trans :premises (@p109 @p100)) % 16.34/16.51 (step @p111 :rule bool-impl-elim :args (@t8 @t151)) % 16.34/16.51 (step @p112 :rule cong :premises (@p111) :args ((forall @t9 (=> @t8 @t151)))) % 16.34/16.51 (step @p113 :rule trans :premises (@p112 @p110)) % 16.34/16.51 (step @p114 :rule aci_norm :args ((= @t153 @t149))) % 16.34/16.51 (step @p115 :rule cong :premises (@p114) :args (@t154)) % 16.34/16.51 (step @p116 :rule quant-merge-prenex :args ((= (forall @t7 @t156) @t154))) % 16.34/16.51 (step @p117 :rule alpha_equiv :args (@t157 (@list @t144) (@list @t12))) % 16.34/16.51 (step @p118 :rule refl :args (@t148)) % 16.34/16.51 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t158)) % 16.34/16.51 (step @p120 :rule quant-miniscope-or :args ((= @t156 @t158))) % 16.34/16.51 (step @p121 :rule trans :premises (@p120 @p119)) % 16.34/16.51 (step @p122 :rule symm :premises (@p121)) % 16.34/16.51 (step @p123 :rule cong :premises (@p122) :args ((forall @t7 (or @t148 @t160)))) % 16.34/16.51 (step @p124 :rule trans :premises (@p123 @p116)) % 16.34/16.51 (step @p125 :rule trans :premises (@p124 @p115)) % 16.34/16.51 (step @p126 :rule bool-impl-elim :args (@t6 @t160)) % 16.34/16.51 (step @p127 :rule cong :premises (@p126) :args ((forall @t7 (=> @t6 @t160)))) % 16.34/16.51 (step @p128 :rule trans :premises (@p127 @p125)) % 16.34/16.51 (step @p129 :rule bool-impl-elim :args (@t15 @t72)) % 16.34/16.51 (step @p130 :rule cong :premises (@p129) :args (@t73)) % 16.34/16.51 (step @p131 :rule refl :args (@t6)) % 16.34/16.51 (step @p132 :rule cong :premises (@p131 @p130) :args (@t74)) % 16.34/16.51 (step @p133 :rule cong :premises (@p132) :args (@t75)) % 16.34/16.51 (step @p134 :rule trans :premises (@p133 @p128)) % 16.34/16.51 (step @p135 :rule refl :args (@t8)) % 16.34/16.51 (step @p136 :rule cong :premises (@p135 @p134) :args (@t76)) % 16.34/16.51 (step @p137 :rule cong :premises (@p136) :args (@t77)) % 16.34/16.51 (step @p138 :rule trans :premises (@p137 @p113)) % 16.34/16.51 (step @p139 :rule eq_resolve :premises (@p37 @p138)) % 16.34/16.51 (step @p140 :rule bool-eq-true :args (@t181)) % 16.34/16.51 (step @p141 :rule absorb :args ((= (or true @t182) true))) % 16.34/16.51 (step @p142 :rule refl :args (@t182)) % 16.34/16.51 (step @p143 :rule eq-refl :args (@t176)) % 16.34/16.51 (step @p144 :rule nary_cong :premises (@p143 @p142) :args (@t183)) % 16.34/16.51 (step @p145 :rule trans :premises (@p144 @p141)) % 16.34/16.51 (step @p146 :rule refl :args (@t181)) % 16.34/16.51 (step @p147 :rule cong :premises (@p146 @p145) :args (@t184)) % 16.34/16.51 (step @p148 :rule trans :premises (@p147 @p140)) % 16.34/16.51 (step @p149 :rule refl :args (@t186)) % 16.34/16.51 (step @p150 :rule refl :args (@t188)) % 16.34/16.51 (step @p151 :rule nary_cong :premises (@p150 @p150 @p149 @p148) :args (@t189)) % 16.34/16.51 (step @p152 :rule refl :args (@t190)) % 16.34/16.51 (step @p153 :rule cong :premises (@p152 @p151) :args ((=> @t190 @t189))) % 16.34/16.51 (assume-push @p775 @t190) % 16.34/16.51 (step @p155 :rule instantiate :premises (@p139) :args ((@list @t176 @t176 @t180))) % 16.34/16.51 (step-pop @p776 :rule scope :premises (@p155)) % 16.34/16.51 (step @p156 :rule process_scope :premises (@p776) :args (@t189)) % 16.34/16.51 (step @p158 :rule eq_resolve :premises (@p156 @p153)) % 16.34/16.51 (step @p159 :rule implies_elim :premises (@p158)) % 16.34/16.51 (step @p160 :rule chain_m_resolution :premises (@p159 @p139) :args (@t191 @t192 (@list @t190))) % 16.34/16.51 (step @p161 :rule aci_norm :args ((= (or @t194 (or @t193 @t58)) @t195))) % 16.34/16.51 (step @p162 :rule refl :args (@t58)) % 16.34/16.51 (step @p163 :rule bool-double-not-elim :args (@t193)) % 16.34/16.51 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or @t197 @t58))) % 16.34/16.51 (step @p165 :rule bool-impl-elim :args (@t196 @t58)) % 16.34/16.51 (step @p166 :rule trans :premises (@p165 @p164)) % 16.34/16.51 (step @p167 :rule refl :args (@t194)) % 16.34/16.51 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t194 @t198))) % 16.34/16.51 (step @p169 :rule trans :premises (@p168 @p161)) % 16.34/16.51 (step @p170 :rule bool-impl-elim :args (@t17 @t198)) % 16.34/16.51 (step @p171 :rule trans :premises (@p170 @p169)) % 16.34/16.51 (step @p172 :rule cong :premises (@p171) :args ((forall @t9 (=> @t17 @t198)))) % 16.34/16.51 (step @p173 :rule refl :args (@t58)) % 16.34/16.51 (step @p174 :rule eq-symm :args (tptp.nil @t2)) % 16.34/16.51 (step @p175 :rule cong :premises (@p174) :args (@t51)) % 16.34/16.51 (step @p176 :rule cong :premises (@p175 @p173) :args (@t59)) % 16.34/16.51 (step @p177 :rule refl :args (@t17)) % 16.34/16.51 (step @p178 :rule cong :premises (@p177 @p176) :args (@t60)) % 16.34/16.51 (step @p179 :rule cong :premises (@p178) :args (@t61)) % 16.34/16.51 (step @p180 :rule trans :premises (@p179 @p172)) % 16.34/16.51 (step @p181 :rule eq_resolve :premises (@p24 @p180)) % 16.34/16.51 (step @p182 :rule refl :args (@t185)) % 16.34/16.51 (step @p183 :rule eq-symm :args (@t179 tptp.nil)) % 16.34/16.51 (step @p184 :rule refl :args (@t200)) % 16.34/16.51 (step @p185 :rule nary_cong :premises (@p184 @p183 @p182) :args (@t202)) % 16.34/16.51 (step @p186 :rule refl :args (@t203)) % 16.34/16.51 (step @p187 :rule cong :premises (@p186 @p185) :args ((=> @t203 @t202))) % 16.34/16.51 (assume-push @p777 @t203) % 16.34/16.51 (step @p189 :rule instantiate :premises (@p181) :args (@t204)) % 16.34/16.51 (step-pop @p778 :rule 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@p614)) % 16.34/16.51 (step @p623 :rule trans :premises (@p622 @p613)) % 16.34/16.51 (step @p624 :rule aci_norm :args ((= (or @t194 @t448) @t447))) % 16.34/16.51 (step @p625 :rule bool-impl-elim :args (@t17 @t448)) % 16.34/16.51 (step @p626 :rule trans :premises (@p625 @p624)) % 16.34/16.51 (step @p627 :rule cong :premises (@p626) :args ((forall @t9 (=> @t17 @t448)))) % 16.34/16.51 (step @p628 :rule trans :premises (@p627 @p623)) % 16.34/16.51 (step @p629 :rule quant-miniscope-or :args ((= (forall @t7 @t449) @t448))) % 16.34/16.51 (step @p630 :rule aci_norm :args ((= @t450 @t449))) % 16.34/16.51 (step @p631 :rule cong :premises (@p630) :args ((forall @t7 @t450))) % 16.34/16.51 (step @p632 :rule trans :premises (@p631 @p629)) % 16.34/16.51 (step @p633 :rule aci_norm :args ((= (or @t220 (or @t193 @t444)) @t450))) % 16.34/16.51 (step @p634 :rule refl :args (@t444)) % 16.34/16.51 (step @p635 :rule nary_cong :premises (@p163 @p634) :args ((or @t197 @t444))) % 16.34/16.51 (step @p636 :rule bool-impl-elim :args (@t196 @t444)) % 16.34/16.51 (step @p637 :rule trans :premises (@p636 @p635)) % 16.34/16.51 (step @p638 :rule nary_cong :premises (@p306 @p637) :args ((or @t220 @t451))) % 16.34/16.51 (step @p639 :rule trans :premises (@p638 @p633)) % 16.34/16.51 (step @p640 :rule bool-impl-elim :args (@t21 @t451)) % 16.34/16.51 (step @p641 :rule trans :premises (@p640 @p639)) % 16.34/16.51 (step @p642 :rule cong :premises (@p641) :args ((forall @t7 (=> @t21 @t451)))) % 16.34/16.51 (step @p643 :rule trans :premises (@p642 @p632)) % 16.34/16.51 (step @p644 :rule eq-symm :args (@t89 @t50)) % 16.34/16.51 (step @p645 :rule cong :premises (@p175 @p644) :args (@t90)) % 16.34/16.51 (step @p646 :rule cong :premises (@p538 @p645) :args (@t91)) % 16.34/16.51 (step @p647 :rule cong :premises (@p646) :args (@t92)) % 16.34/16.51 (step @p648 :rule trans :premises (@p647 @p643)) % 16.34/16.51 (step @p649 :rule cong :premises (@p177 @p648) :args (@t93)) % 16.34/16.51 (step @p650 :rule cong :premises (@p649) :args (@t94)) % 16.34/16.51 (step @p651 :rule trans :premises (@p650 @p628)) % 16.34/16.51 (step @p652 :rule eq_resolve :premises (@p85 @p651)) % 16.34/16.51 (step @p653 :rule refl :args (@t453)) % 16.34/16.51 (step @p654 :rule refl :args (@t404)) % 16.34/16.51 (step @p655 :rule eq-symm :args (@t178 tptp.nil)) % 16.34/16.51 (step @p656 :rule refl :args (@t409)) % 16.34/16.51 (step @p657 :rule nary_cong :premises (@p656 @p655 @p654 @p653) :args (@t454)) % 16.34/16.51 (step @p658 :rule refl :args (@t455)) % 16.34/16.51 (step @p659 :rule cong :premises (@p658 @p657) :args ((=> @t455 @t454))) % 16.34/16.51 (assume-push @p781 @t455) % 16.34/16.51 (step @p661 :rule instantiate :premises (@p652) :args ((@list @t178 @t177))) % 16.34/16.51 (step-pop @p782 :rule scope :premises (@p661)) % 16.34/16.51 (step @p662 :rule process_scope :premises (@p782) :args (@t454)) % 16.34/16.51 (step @p664 :rule eq_resolve :premises (@p662 @p659)) % 16.34/16.51 (step @p665 :rule implies_elim :premises (@p664)) % 16.34/16.51 (step @p666 :rule chain_m_resolution :premises (@p665 @p652) :args (@t457 @t192 (@list @t455))) % 16.34/16.51 (step @p667 :rule aci_norm :args ((= @t462 (or @t194 @t460 @t459)))) % 16.34/16.51 (step @p668 :rule cong :premises (@p667) :args (@t463)) % 16.34/16.51 (step @p669 :rule quant-merge-prenex :args ((= (forall @t9 @t465) @t463))) % 16.34/16.51 (step @p670 :rule alpha_equiv :args (@t466 (@list @t458) @t218)) % 16.34/16.51 (step @p671 :rule nary_cong :premises (@p167 @p670) :args (@t467)) % 16.34/16.51 (step @p672 :rule quant-miniscope-or :args ((= @t465 @t467))) % 16.34/16.51 (step @p673 :rule trans :premises (@p672 @p671)) % 16.34/16.51 (step @p674 :rule symm :premises (@p673)) % 16.34/16.51 (step @p675 :rule cong :premises (@p674) :args ((forall @t9 (or @t194 @t469)))) % 16.34/16.51 (step @p676 :rule trans :premises (@p675 @p669)) % 16.34/16.51 (step @p677 :rule trans :premises (@p676 @p668)) % 16.34/16.51 (step @p678 :rule bool-impl-elim :args (@t17 @t469)) % 16.34/16.51 (step @p679 :rule cong :premises (@p678) :args ((forall @t9 (=> @t17 @t469)))) % 16.34/16.51 (step @p680 :rule trans :premises (@p679 @p677)) % 16.34/16.51 (step @p681 :rule bool-impl-elim :args (@t6 @t468)) % 16.34/16.51 (step @p682 :rule cong :premises (@p681) :args ((forall @t7 (=> @t6 @t468)))) % 16.34/16.51 (step @p683 :rule eq-symm :args (@t40 @t2)) % 16.34/16.51 (step @p684 :rule cong :premises (@p683) :args (@t42)) % 16.34/16.51 (step @p685 :rule cong :premises (@p131 @p684) :args (@t43)) % 16.34/16.51 (step @p686 :rule cong :premises (@p685) :args (@t44)) % 16.34/16.51 (step @p687 :rule trans :premises (@p686 @p682)) % 16.34/16.51 (step @p688 :rule cong :premises (@p177 @p687) :args (@t45)) % 16.34/16.51 (step @p689 :rule cong :premises (@p688) :args (@t46)) % 16.34/16.51 (step @p690 :rule trans :premises (@p689 @p680)) % 16.34/16.51 (step @p691 :rule eq_resolve :premises (@p18 @p690)) % 16.34/16.51 (step @p692 :rule instantiate :premises (@p691) :args (@t428)) % 16.34/16.51 (step @p693 :rule cnf_or_pos :args (@t471)) % 16.34/16.51 (step @p694 :rule reordering :premises (@p693) :args ((or @t225 @t188 @t470 (not @t471)))) % 16.34/16.51 (step @p695 :rule chain_m_resolution :premises (@p694 @p17 @p575 @p692) :args (@t470 @t413 (@list @t41 @t187 @t471))) % 16.34/16.51 (step @p696 :rule bool-double-not-elim :args (@t403)) % 16.34/16.51 (step @p697 :rule nary_cong :premises (@p549 @p696) :args ((or @t410 (not @t404)))) % 16.34/16.51 (step @p698 :rule cnf_or_neg :args (@t410 5)) % 16.34/16.51 (step @p699 :rule eq_resolve :premises (@p698 @p697)) % 16.34/16.51 (step @p700 :rule reordering :premises (@p699) :args ((or @t403 @t410))) % 16.34/16.51 (step @p701 :rule chain_m_resolution :premises (@p700 @p547) :args (@t403 @t411 @t412)) % 16.34/16.51 (step @p702 :rule bool-double-not-elim :args (@t408)) % 16.34/16.51 (step @p703 :rule nary_cong :premises (@p549 @p702) :args ((or @t410 (not @t409)))) % 16.34/16.51 (step @p704 :rule cnf_or_neg :args (@t410 0)) % 16.34/16.51 (step @p705 :rule eq_resolve :premises (@p704 @p703)) % 16.34/16.51 (step @p706 :rule reordering :premises (@p705) :args ((or @t408 @t410))) % 16.34/16.51 (step @p707 :rule chain_m_resolution :premises (@p706 @p547) :args (@t408 @t411 @t412)) % 16.34/16.51 (step @p708 :rule cnf_or_pos :args (@t457)) % 16.34/16.51 (step @p709 :rule reordering :premises (@p708) :args ((or @t409 @t404 @t456 @t453 (not @t457)))) % 16.34/16.51 (step @p710 :rule chain_m_resolution :premises (@p709 @p707 @p701 @p695 @p666) :args (@t453 (@list false false true false) (@list @t408 @t403 @t456 @t457))) % 16.34/16.51 (step @p711 :rule symm :premises (@p710)) % 16.34/16.51 (step @p712 :rule trans :premises (@p711 @p611)) % 16.34/16.51 (step @p713 :rule cong :premises (@p712 @p582) :args (@t472)) % 16.34/16.51 (step @p714 :rule aci_norm :args ((= (or @t194 (or @t193 @t473)) @t474))) % 16.34/16.51 (step @p715 :rule refl :args (@t473)) % 16.34/16.51 (step @p716 :rule nary_cong :premises (@p163 @p715) :args ((or @t197 @t473))) % 16.34/16.51 (step @p717 :rule bool-impl-elim :args (@t196 @t473)) % 16.34/16.51 (step @p718 :rule trans :premises (@p717 @p716)) % 16.34/16.51 (step @p719 :rule nary_cong :premises (@p167 @p718) :args ((or @t194 @t475))) % 16.34/16.51 (step @p720 :rule trans :premises (@p719 @p714)) % 16.34/16.51 (step @p721 :rule bool-impl-elim :args (@t17 @t475)) % 16.34/16.51 (step @p722 :rule trans :premises (@p721 @p720)) % 16.34/16.51 (step @p723 :rule cong :premises (@p722) :args ((forall @t9 (=> @t17 @t475)))) % 16.34/16.51 (step @p724 :rule eq-symm :args (@t84 @t2)) % 16.34/16.51 (step @p725 :rule cong :premises (@p175 @p724) :args (@t85)) % 16.34/16.51 (step @p726 :rule cong :premises (@p177 @p725) :args (@t86)) % 16.34/16.51 (step @p727 :rule cong :premises (@p726) :args (@t87)) % 16.34/16.51 (step @p728 :rule trans :premises (@p727 @p723)) % 16.34/16.51 (step @p729 :rule eq_resolve :premises (@p78 @p728)) % 16.34/16.51 (step @p730 :rule refl :args (@t476)) % 16.34/16.51 (step @p731 :rule nary_cong :premises (@p184 @p183 @p730) :args (@t477)) % 16.34/16.51 (step @p732 :rule refl :args (@t478)) % 16.34/16.51 (step @p733 :rule cong :premises (@p732 @p731) :args ((=> @t478 @t477))) % 16.34/16.51 (assume-push @p783 @t478) % 16.34/16.51 (step @p735 :rule instantiate :premises (@p729) :args (@t204)) % 16.34/16.51 (step-pop @p784 :rule scope :premises (@p735)) % 16.34/16.51 (step @p736 :rule process_scope :premises (@p784) :args (@t477)) % 16.34/16.51 (step @p738 :rule eq_resolve :premises (@p736 @p733)) % 16.34/16.51 (step @p739 :rule implies_elim :premises (@p738)) % 16.34/16.51 (step @p740 :rule chain_m_resolution :premises (@p739 @p729) :args (@t479 @t192 (@list @t478))) % 16.34/16.51 (step @p741 :rule cnf_or_pos :args (@t479)) % 16.34/16.51 (step @p742 :rule reordering :premises (@p741) :args ((or @t200 @t205 @t476 (not @t479)))) % 16.34/16.51 (step @p743 :rule chain_m_resolution :premises (@p742 @p554 @p566 @p740) :args (@t476 @t415 (@list @t199 @t205 @t479))) % 16.34/16.51 (step @p744 :rule trans :premises (@p743 @p713)) % 16.34/16.51 (step @p745 :rule cong :premises (@p744 @p581) :args (@t480)) % 16.34/16.51 (step @p746 :rule bool-double-not-elim :args (@t405)) % 16.34/16.51 (step @p747 :rule nary_cong :premises (@p549 @p746) :args ((or @t410 (not @t406)))) % 16.34/16.51 (step @p748 :rule cnf_or_neg :args (@t410 3)) % 16.34/16.51 (step @p749 :rule eq_resolve :premises (@p748 @p747)) % 16.34/16.51 (step @p750 :rule reordering :premises (@p749) :args ((or @t405 @t410))) % 16.34/16.51 (step @p751 :rule chain_m_resolution :premises (@p750 @p547) :args (@t405 @t411 @t412)) % 16.34/16.51 (step @p752 :rule aci_norm :args ((= (or @t188 false @t481) @t482))) % 16.34/16.51 (step @p753 :rule refl :args (@t481)) % 16.34/16.51 (step @p754 :rule eq-refl :args (@t178)) % 16.34/16.51 (step @p755 :rule cong :premises (@p754) :args (@t483)) % 16.34/16.51 (step @p756 :rule trans :premises (@p755 @p231)) % 16.34/16.51 (step @p757 :rule nary_cong :premises (@p150 @p756 @p753) :args (@t484)) % 16.34/16.51 (step @p758 :rule trans :premises (@p757 @p752)) % 16.34/16.51 (step @p759 :rule refl :args (@t405)) % 16.34/16.51 (step @p760 :rule cong :premises (@p759 @p758) :args ((=> @t405 @t484))) % 16.34/16.51 (assume-push @p785 @t405) % 16.34/16.51 (step @p762 :rule instantiate :premises (@p751) :args ((@list @t176))) % 16.34/16.51 (step-pop @p786 :rule scope :premises (@p762)) % 16.34/16.51 (step @p763 :rule process_scope :premises (@p786) :args (@t484)) % 16.34/16.51 (step @p765 :rule eq_resolve :premises (@p763 @p760)) % 16.34/16.51 (step @p766 :rule implies_elim :premises (@p765)) % 16.34/16.51 (step @p767 :rule chain_m_resolution :premises (@p766 @p751) :args (@t482 @t192 (@list @t405))) % 16.34/16.51 (step @p768 :rule cnf_or_pos :args (@t482)) % 16.34/16.51 (step @p769 :rule reordering :premises (@p768) :args ((or @t188 @t481 (not @t482)))) % 16.34/16.51 (step @p770 :rule chain_m_resolution :premises (@p769 @p575 @p767) :args (@t481 @t414 (@list @t187 @t482))) % 16.34/16.51 (step @p771 :rule false_intro :premises (@p770)) % 16.34/16.51 (step @p772 :rule symm :premises (@p771)) % 16.34/16.51 (step @p773 :rule trans :premises (@p772 @p745 @p580)) % 16.34/16.51 (step @p774 false :rule eq_resolve :premises (@p773 @p98)) % 16.34/16.51 ) % 16.34/16.51 % SZS output end Proof % 16.34/16.51 % cvc5 exiting %------------------------------------------------------------------------------