%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC104+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 : n004.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 08:58:04 AM UTC 2026 % Result : Theorem 0.38s 0.75s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWC104+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n004.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:14:52 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.75 % SZS status Theorem % 0.38/0.75 % SZS output start Proof % 0.38/0.75 ( % 0.38/0.75 (declare-sort $$unsorted 0) % 0.38/0.75 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.38/0.75 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.38/0.75 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.38/0.75 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.38/0.75 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.38/0.75 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.38/0.75 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.38/0.75 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.38/0.75 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.38/0.75 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.38/0.75 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.38/0.75 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.75 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.75 (declare-const tptp.nil $$unsorted) % 0.38/0.75 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.38/0.75 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.38/0.75 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.75 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.75 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.38/0.75 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.38/0.75 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.38/0.75 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.38/0.75 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.38/0.75 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.75 (define @t1 () (@var "V" $$unsorted)) % 0.38/0.75 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.75 (define @t3 () (= @t2 @t1)) % 0.38/0.75 (define @t4 () (not @t3)) % 0.38/0.75 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.38/0.75 (define @t6 () (tptp.ssItem @t1)) % 0.38/0.75 (define @t7 () (@list @t1)) % 0.38/0.75 (define @t8 () (tptp.ssItem @t2)) % 0.38/0.75 (define @t9 () (@list @t2)) % 0.38/0.75 (define @t10 () (@var "X" $$unsorted)) % 0.38/0.75 (define @t11 () (tptp.cons @t1 @t10)) % 0.38/0.75 (define @t12 () (@var "W" $$unsorted)) % 0.38/0.75 (define @t13 () (tptp.ssList @t10)) % 0.38/0.75 (define @t14 () (@list @t10)) % 0.38/0.75 (define @t15 () (tptp.ssList @t12)) % 0.38/0.75 (define @t16 () (@list @t12)) % 0.38/0.75 (define @t17 () (tptp.ssList @t2)) % 0.38/0.75 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.38/0.75 (define @t19 () (tptp.app @t1 @t12)) % 0.38/0.75 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.38/0.75 (define @t21 () (tptp.ssList @t1)) % 0.38/0.75 (define @t22 () (tptp.app @t12 @t1)) % 0.38/0.75 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.38/0.75 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.38/0.75 (define @t25 () (tptp.leq @t12 @t1)) % 0.38/0.75 (define @t26 () (tptp.leq @t1 @t12)) % 0.38/0.75 (define @t27 () (@var "Z" $$unsorted)) % 0.38/0.75 (define @t28 () (@var "Y" $$unsorted)) % 0.38/0.75 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.38/0.75 (define @t30 () (tptp.ssList @t27)) % 0.38/0.75 (define @t31 () (@list @t27)) % 0.38/0.75 (define @t32 () (tptp.ssList @t28)) % 0.38/0.75 (define @t33 () (@list @t28)) % 0.38/0.75 (define @t34 () (tptp.ssItem @t12)) % 0.38/0.75 (define @t35 () (tptp.lt @t1 @t12)) % 0.38/0.75 (define @t36 () (tptp.totalorderedP @t2)) % 0.38/0.75 (define @t37 () (= @t1 @t12)) % 0.38/0.75 (define @t38 () (forall @t7 (=> @t21 @t5))) % 0.38/0.75 (define @t39 () (=> @t17 @t38)) % 0.38/0.75 (define @t40 () (forall @t9 @t39)) % 0.38/0.75 (define @t41 () (tptp.cons @t1 @t2)) % 0.38/0.75 (define @t42 () (tptp.ssList tptp.nil)) % 0.38/0.75 (define @t43 () (= @t1 @t2)) % 0.38/0.75 (define @t44 () (tptp.cons @t12 @t1)) % 0.38/0.75 (define @t45 () (= tptp.nil @t2)) % 0.38/0.75 (define @t46 () (tptp.hd @t2)) % 0.38/0.75 (define @t47 () (not @t45)) % 0.38/0.75 (define @t48 () (tptp.tl @t2)) % 0.38/0.75 (define @t49 () (tptp.app @t2 @t1)) % 0.38/0.75 (define @t50 () (tptp.app @t1 @t2)) % 0.38/0.75 (define @t51 () (tptp.leq @t1 @t2)) % 0.38/0.75 (define @t52 () (tptp.leq @t2 @t1)) % 0.38/0.75 (define @t53 () (tptp.geq @t2 @t1)) % 0.38/0.75 (define @t54 () (tptp.lt @t1 @t2)) % 0.38/0.75 (define @t55 () (tptp.lt @t2 @t1)) % 0.38/0.75 (define @t56 () (tptp.lt @t2 @t12)) % 0.38/0.75 (define @t57 () (tptp.gt @t2 @t1)) % 0.38/0.75 (define @t58 () (tptp.memberP @t12 @t2)) % 0.38/0.75 (define @t59 () (tptp.frontsegP @t1 @t2)) % 0.38/0.75 (define @t60 () (tptp.frontsegP @t2 @t2)) % 0.38/0.75 (define @t61 () (forall @t9 (=> @t17 @t60))) % 0.38/0.75 (define @t62 () (tptp.frontsegP (tptp.app @t2 @t12) @t1)) % 0.38/0.75 (define @t63 () (=> @t20 @t62)) % 0.38/0.75 (define @t64 () (forall @t16 (=> @t15 @t63))) % 0.38/0.75 (define @t65 () (=> @t21 @t64)) % 0.38/0.75 (define @t66 () (forall @t7 @t65)) % 0.38/0.75 (define @t67 () (=> @t17 @t66)) % 0.38/0.75 (define @t68 () (forall @t9 @t67)) % 0.38/0.75 (define @t69 () (tptp.app @t12 @t2)) % 0.38/0.75 (define @t70 () (tptp.cons @t2 tptp.nil)) % 0.38/0.75 (define @t71 () (tptp.hd @t1)) % 0.38/0.75 (define @t72 () (= tptp.nil @t1)) % 0.38/0.75 (define @t73 () (not @t72)) % 0.38/0.75 (define @t74 () (tptp.cons @t2 @t1)) % 0.38/0.75 (define @t75 () (= @t12 @t2)) % 0.38/0.75 (define @t76 () (tptp.neq @t2 tptp.nil)) % 0.38/0.75 (define @t77 () (and @t76 @t59)) % 0.38/0.75 (define @t78 () (not (= tptp.nil @t10))) % 0.38/0.75 (define @t79 () (and @t78 (= tptp.nil @t12))) % 0.38/0.75 (define @t80 () (@var "X2" $$unsorted)) % 0.38/0.75 (define @t81 () (tptp.leq @t80 @t27)) % 0.38/0.75 (define @t82 () (tptp.cons @t80 tptp.nil)) % 0.38/0.75 (define @t83 () (@var "X3" $$unsorted)) % 0.38/0.75 (define @t84 () (tptp.app @t83 @t82)) % 0.38/0.75 (define @t85 () (tptp.ssList @t83)) % 0.38/0.75 (define @t86 () (and @t85 (= @t84 @t12) @t81)) % 0.38/0.75 (define @t87 () (@list @t83)) % 0.38/0.75 (define @t88 () (exists @t87 @t86)) % 0.38/0.75 (define @t89 () (tptp.ssItem @t80)) % 0.38/0.75 (define @t90 () (and @t89 @t88)) % 0.38/0.75 (define @t91 () (@list @t80)) % 0.38/0.75 (define @t92 () (exists @t91 @t90)) % 0.38/0.75 (define @t93 () (@var "X1" $$unsorted)) % 0.38/0.75 (define @t94 () (tptp.cons @t27 tptp.nil)) % 0.38/0.75 (define @t95 () (tptp.app @t94 @t93)) % 0.38/0.75 (define @t96 () (tptp.ssList @t93)) % 0.38/0.75 (define @t97 () (and @t96 (= @t95 @t28) @t92)) % 0.38/0.75 (define @t98 () (@list @t93)) % 0.38/0.75 (define @t99 () (exists @t98 @t97)) % 0.38/0.75 (define @t100 () (tptp.ssItem @t27)) % 0.38/0.75 (define @t101 () (and @t100 @t99)) % 0.38/0.75 (define @t102 () (exists @t31 @t101)) % 0.38/0.75 (define @t103 () (not (tptp.totalorderedP @t12))) % 0.38/0.75 (define @t104 () (tptp.app @t12 @t28)) % 0.38/0.75 (define @t105 () (not (= @t104 @t10))) % 0.38/0.75 (define @t106 () (or @t105 @t103 @t102)) % 0.38/0.75 (define @t107 () (=> @t32 @t106)) % 0.38/0.75 (define @t108 () (forall @t33 @t107)) % 0.38/0.75 (define @t109 () (not (tptp.neq @t1 tptp.nil))) % 0.38/0.75 (define @t110 () (not (= @t2 @t12))) % 0.38/0.75 (define @t111 () (not (= @t1 @t10))) % 0.38/0.75 (define @t112 () (or @t111 @t110 @t109 @t108 @t79 @t77)) % 0.38/0.75 (define @t113 () (=> @t13 @t112)) % 0.38/0.75 (define @t114 () (forall @t14 @t113)) % 0.38/0.75 (define @t115 () (=> @t15 @t114)) % 0.38/0.75 (define @t116 () (forall @t16 @t115)) % 0.38/0.75 (define @t117 () (=> @t21 @t116)) % 0.38/0.75 (define @t118 () (forall @t7 @t117)) % 0.38/0.75 (define @t119 () (=> @t17 @t118)) % 0.38/0.75 (define @t120 () (forall @t9 @t119)) % 0.38/0.75 (define @t121 () (not @t120)) % 0.38/0.75 (define @t122 () (@var "BOUND_VARIABLE_11197" $$unsorted)) % 0.38/0.75 (define @t123 () (@var "BOUND_VARIABLE_11027" $$unsorted)) % 0.38/0.75 (define @t124 () (tptp.app @t94 @t123)) % 0.38/0.75 (define @t125 () (not (tptp.ssList @t123))) % 0.38/0.75 (define @t126 () (@var "BOUND_VARIABLE_11012" $$unsorted)) % 0.38/0.75 (define @t127 () (@var "BOUND_VARIABLE_11014" $$unsorted)) % 0.38/0.75 (define @t128 () (tptp.app @t127 (tptp.cons @t126 tptp.nil))) % 0.38/0.75 (define @t129 () (not (= @t2 @t128))) % 0.38/0.75 (define @t130 () (not (tptp.ssList @t127))) % 0.38/0.75 (define @t131 () (not (tptp.leq @t126 @t27))) % 0.38/0.75 (define @t132 () (not (tptp.ssItem @t126))) % 0.38/0.75 (define @t133 () (not @t100)) % 0.38/0.75 (define @t134 () (@list @t27 @t126 @t127 @t123)) % 0.38/0.75 (define @t135 () (not (forall @t134 (or @t133 @t132 @t131 @t130 @t129 @t125 (not (= @t124 @t122)))))) % 0.38/0.75 (define @t136 () (not (tptp.ssList @t122))) % 0.38/0.75 (define @t137 () (= @t2 tptp.nil)) % 0.38/0.75 (define @t138 () (tptp.app @t2 @t122)) % 0.38/0.75 (define @t139 () (and (not (= tptp.nil @t138)) @t137)) % 0.38/0.75 (define @t140 () (and @t76 (tptp.frontsegP @t138 @t2))) % 0.38/0.75 (define @t141 () (not (tptp.neq @t138 tptp.nil))) % 0.38/0.75 (define @t142 () (not (tptp.ssList @t138))) % 0.38/0.75 (define @t143 () (not @t36)) % 0.38/0.75 (define @t144 () (not @t17)) % 0.38/0.75 (define @t145 () (or @t144 @t143 @t142 @t141 @t140 @t139 @t136 @t135)) % 0.38/0.75 (define @t146 () (or @t142 @t141 @t140 @t139 @t136 @t135)) % 0.38/0.75 (define @t147 () (or @t144 @t143 @t146)) % 0.38/0.75 (define @t148 () (@list @t2 @t122)) % 0.38/0.75 (define @t149 () (forall @t148 @t147)) % 0.38/0.75 (define @t150 () (@list @t122)) % 0.38/0.75 (define @t151 () (forall @t150 @t147)) % 0.38/0.75 (define @t152 () (forall @t150 @t146)) % 0.38/0.75 (define @t153 () (@var "BOUND_VARIABLE_11155" $$unsorted)) % 0.38/0.75 (define @t154 () (@list @t153)) % 0.38/0.75 (define @t155 () (or @t144 @t143 @t152)) % 0.38/0.75 (define @t156 () (not (forall @t134 (or @t133 @t132 @t131 @t130 @t129 @t125 (not (= @t124 @t153)))))) % 0.38/0.75 (define @t157 () (not (tptp.ssList @t153))) % 0.38/0.75 (define @t158 () (tptp.app @t2 @t153)) % 0.38/0.75 (define @t159 () (and (not (= tptp.nil @t158)) @t137)) % 0.38/0.75 (define @t160 () (and @t76 (tptp.frontsegP @t158 @t2))) % 0.38/0.75 (define @t161 () (not (tptp.neq @t158 tptp.nil))) % 0.38/0.75 (define @t162 () (not (tptp.ssList @t158))) % 0.38/0.75 (define @t163 () (or @t162 @t161 @t160 @t159 @t157 @t156)) % 0.38/0.75 (define @t164 () (@list @t153)) % 0.38/0.75 (define @t165 () (or @t144 @t143 (forall @t164 @t163))) % 0.38/0.75 (define @t166 () (not (= @t158 @t158))) % 0.38/0.75 (define @t167 () (not (= @t158 tptp.nil))) % 0.38/0.75 (define @t168 () (and @t167 @t137)) % 0.38/0.75 (define @t169 () (or @t162 @t161 @t160 @t168 @t157 @t166 @t156)) % 0.38/0.75 (define @t170 () (not (= @t1 @t158))) % 0.38/0.75 (define @t171 () (not (= @t1 tptp.nil))) % 0.38/0.75 (define @t172 () (and @t171 @t137)) % 0.38/0.75 (define @t173 () (not @t21)) % 0.38/0.75 (define @t174 () (or @t170 @t173 @t109 @t77 @t172 @t157 @t170 @t156)) % 0.38/0.75 (define @t175 () (or @t173 @t109 @t77 @t172 @t157 @t170 @t156)) % 0.38/0.75 (define @t176 () (forall @t7 @t175)) % 0.38/0.75 (define @t177 () (forall @t164 @t176)) % 0.38/0.75 (define @t178 () (forall (@list @t153 @t1) @t175)) % 0.38/0.75 (define @t179 () (@list @t1 @t153)) % 0.38/0.75 (define @t180 () (or @t157 @t170 @t156)) % 0.38/0.75 (define @t181 () (or @t173 @t109 @t77 @t172 @t180)) % 0.38/0.75 (define @t182 () (forall @t179 @t181)) % 0.38/0.75 (define @t183 () (forall @t164 @t181)) % 0.38/0.75 (define @t184 () (forall @t164 @t180)) % 0.38/0.75 (define @t185 () (@var "BOUND_VARIABLE_11107" $$unsorted)) % 0.38/0.75 (define @t186 () (@list @t185)) % 0.38/0.75 (define @t187 () (or @t173 @t109 @t77 @t172 @t184)) % 0.38/0.75 (define @t188 () (not (= @t124 @t185))) % 0.38/0.75 (define @t189 () (not (forall @t134 (or @t133 @t132 @t131 @t130 @t129 @t125 @t188)))) % 0.38/0.75 (define @t190 () (not (= @t1 (tptp.app @t2 @t185)))) % 0.38/0.75 (define @t191 () (not (tptp.ssList @t185))) % 0.38/0.75 (define @t192 () (or @t191 @t190 @t189)) % 0.38/0.75 (define @t193 () (@list @t185)) % 0.38/0.75 (define @t194 () (forall @t193 @t192)) % 0.38/0.75 (define @t195 () (or @t173 @t109 @t77 @t172 @t194)) % 0.38/0.75 (define @t196 () (forall @t7 @t195)) % 0.38/0.75 (define @t197 () (or @t144 @t143 @t196)) % 0.38/0.75 (define @t198 () (or @t144 @t143 @t195)) % 0.38/0.75 (define @t199 () (or @t173 @t109 @t77 @t144 @t143 @t172 @t194)) % 0.38/0.75 (define @t200 () (or @t109 @t77 @t173 @t144 @t143 @t172 @t194)) % 0.38/0.75 (define @t201 () (or @t144 @t143 @t172 @t194)) % 0.38/0.75 (define @t202 () (or @t144 @t143 @t172 @t192)) % 0.38/0.75 (define @t203 () (or @t144 @t143 @t172 @t191 @t190 @t189)) % 0.38/0.75 (define @t204 () (not (= @t2 @t2))) % 0.38/0.75 (define @t205 () (or @t144 @t204 @t143 @t172 @t191 @t190 @t189)) % 0.38/0.75 (define @t206 () (not (= @t12 @t128))) % 0.38/0.75 (define @t207 () (not (forall @t134 (or @t133 @t132 @t131 @t130 @t206 @t125 @t188)))) % 0.38/0.75 (define @t208 () (not (= @t1 (tptp.app @t12 @t185)))) % 0.38/0.75 (define @t209 () (= @t12 tptp.nil)) % 0.38/0.75 (define @t210 () (and @t171 @t209)) % 0.38/0.75 (define @t211 () (not @t15)) % 0.38/0.75 (define @t212 () (or @t110 @t211 @t110 @t103 @t210 @t191 @t208 @t207)) % 0.38/0.75 (define @t213 () (or @t211 @t110 @t103 @t210 @t191 @t208 @t207)) % 0.38/0.75 (define @t214 () (forall @t16 @t213)) % 0.38/0.75 (define @t215 () (forall @t193 @t214)) % 0.38/0.75 (define @t216 () (forall (@list @t185 @t12) @t213)) % 0.38/0.75 (define @t217 () (@list @t12 @t185)) % 0.38/0.75 (define @t218 () (or @t191 @t208 @t207)) % 0.38/0.75 (define @t219 () (or @t211 @t110 @t103 @t210 @t218)) % 0.38/0.75 (define @t220 () (forall @t217 @t219)) % 0.38/0.75 (define @t221 () (forall @t193 @t219)) % 0.38/0.75 (define @t222 () (forall @t193 @t218)) % 0.38/0.75 (define @t223 () (@var "BOUND_VARIABLE_11062" $$unsorted)) % 0.38/0.75 (define @t224 () (@list @t223)) % 0.38/0.75 (define @t225 () (or @t211 @t110 @t103 @t210 @t222)) % 0.38/0.75 (define @t226 () (not (forall @t134 (or @t133 @t132 @t131 @t130 @t206 @t125 (not (= @t124 @t223)))))) % 0.38/0.75 (define @t227 () (tptp.app @t12 @t223)) % 0.38/0.75 (define @t228 () (not (= @t1 @t227))) % 0.38/0.75 (define @t229 () (not (tptp.ssList @t223))) % 0.38/0.75 (define @t230 () (or @t229 @t228 @t226)) % 0.38/0.75 (define @t231 () (@list @t223)) % 0.38/0.75 (define @t232 () (forall @t231 @t230)) % 0.38/0.75 (define @t233 () (or @t211 @t110 @t103 @t210 @t232)) % 0.38/0.75 (define @t234 () (forall @t16 @t233)) % 0.38/0.75 (define @t235 () (or @t109 @t77 @t173 @t234)) % 0.38/0.75 (define @t236 () (or @t109 @t77 @t173 @t233)) % 0.38/0.75 (define @t237 () (or @t211 @t110 @t109 @t77 @t103 @t173 @t210 @t232)) % 0.38/0.75 (define @t238 () (or @t110 @t109 @t77 @t103 @t173 @t210 @t232)) % 0.38/0.75 (define @t239 () (or @t173 @t210 @t232)) % 0.38/0.75 (define @t240 () (or @t173 @t210 @t230)) % 0.38/0.75 (define @t241 () (or @t173 @t210 @t229 @t228 @t226)) % 0.38/0.75 (define @t242 () (not (= @t1 @t1))) % 0.38/0.75 (define @t243 () (or @t173 @t242 @t210 @t229 @t228 @t226)) % 0.38/0.75 (define @t244 () (not (= @t10 @t227))) % 0.38/0.75 (define @t245 () (and (not (= @t10 tptp.nil)) @t209)) % 0.38/0.75 (define @t246 () (not @t13)) % 0.38/0.75 (define @t247 () (or @t111 @t246 @t111 @t245 @t229 @t244 @t226)) % 0.38/0.75 (define @t248 () (or @t246 @t111 @t245 @t229 @t244 @t226)) % 0.38/0.75 (define @t249 () (forall @t14 @t248)) % 0.38/0.75 (define @t250 () (forall @t231 @t249)) % 0.38/0.75 (define @t251 () (forall (@list @t223 @t10) @t248)) % 0.38/0.75 (define @t252 () (@list @t10 @t223)) % 0.38/0.75 (define @t253 () (not (= @t223 @t124))) % 0.38/0.75 (define @t254 () (or @t133 @t132 @t131 @t130 @t206 @t125 @t253)) % 0.38/0.75 (define @t255 () (forall @t134 @t254)) % 0.38/0.75 (define @t256 () (not @t255)) % 0.38/0.75 (define @t257 () (or @t246 @t111 @t245 @t229 @t244 @t256)) % 0.38/0.75 (define @t258 () (or @t229 @t244 @t256)) % 0.38/0.75 (define @t259 () (or @t246 @t111 @t245 @t258)) % 0.38/0.75 (define @t260 () (forall @t252 @t259)) % 0.38/0.75 (define @t261 () (forall @t231 @t259)) % 0.38/0.75 (define @t262 () (forall @t231 @t258)) % 0.38/0.75 (define @t263 () (or @t246 @t111 @t245 @t262)) % 0.38/0.75 (define @t264 () (not (= @t28 @t124))) % 0.38/0.75 (define @t265 () (or @t133 @t132 @t131 @t130 @t206 @t125 @t264)) % 0.38/0.75 (define @t266 () (not (forall @t134 @t265))) % 0.38/0.75 (define @t267 () (not (= @t10 @t104))) % 0.38/0.75 (define @t268 () (not @t32)) % 0.38/0.75 (define @t269 () (or @t268 @t267 @t266)) % 0.38/0.75 (define @t270 () (forall @t33 @t269)) % 0.38/0.75 (define @t271 () (or @t246 @t111 @t245 @t270)) % 0.38/0.75 (define @t272 () (forall @t14 @t271)) % 0.38/0.75 (define @t273 () (or @t110 @t109 @t77 @t103 @t272)) % 0.38/0.75 (define @t274 () (or @t110 @t109 @t77 @t103 @t271)) % 0.38/0.75 (define @t275 () (or @t246 @t111 @t110 @t109 @t245 @t77 @t103 @t270)) % 0.38/0.75 (define @t276 () (or @t111 @t110 @t109 @t245 @t77 @t103 @t270)) % 0.38/0.75 (define @t277 () (or @t103 @t270)) % 0.38/0.75 (define @t278 () (or @t103 @t269)) % 0.38/0.75 (define @t279 () (or @t268 @t267 @t103 @t266)) % 0.38/0.75 (define @t280 () (or @t267 @t103 @t266)) % 0.38/0.75 (define @t281 () (or @t125 @t264)) % 0.38/0.75 (define @t282 () (or @t132 @t131 @t130 @t206)) % 0.38/0.75 (define @t283 () (or @t133 @t282 @t281)) % 0.38/0.75 (define @t284 () (forall @t134 @t283)) % 0.38/0.75 (define @t285 () (forall (@list @t126 @t127 @t123) @t283)) % 0.38/0.75 (define @t286 () (forall (@list @t123) @t281)) % 0.38/0.75 (define @t287 () (forall (@list @t126 @t127) @t282)) % 0.38/0.75 (define @t288 () (@var "BOUND_VARIABLE_10977" $$unsorted)) % 0.38/0.75 (define @t289 () (or @t133 @t287 @t286)) % 0.38/0.75 (define @t290 () (= @t28 @t95)) % 0.38/0.75 (define @t291 () (not @t290)) % 0.38/0.75 (define @t292 () (not @t96)) % 0.38/0.75 (define @t293 () (or @t292 @t291)) % 0.38/0.75 (define @t294 () (forall @t98 @t293)) % 0.38/0.75 (define @t295 () (not (= @t12 (tptp.app @t288 @t82)))) % 0.38/0.75 (define @t296 () (not (tptp.ssList @t288))) % 0.38/0.75 (define @t297 () (not @t81)) % 0.38/0.75 (define @t298 () (not @t89)) % 0.38/0.75 (define @t299 () (or @t298 @t297 @t296 @t295)) % 0.38/0.75 (define @t300 () (@list @t80 @t288)) % 0.38/0.75 (define @t301 () (forall @t300 @t299)) % 0.38/0.75 (define @t302 () (or @t133 @t301 @t294)) % 0.38/0.75 (define @t303 () (or @t301 @t294)) % 0.38/0.75 (define @t304 () (not @t303)) % 0.38/0.75 (define @t305 () (and @t100 @t304)) % 0.38/0.75 (define @t306 () (forall @t31 (not @t305))) % 0.38/0.75 (define @t307 () (not @t306)) % 0.38/0.75 (define @t308 () (or @t301 @t293)) % 0.38/0.75 (define @t309 () (or @t292 @t291 @t301)) % 0.38/0.75 (define @t310 () (not @t301)) % 0.38/0.75 (define @t311 () (not @t310)) % 0.38/0.75 (define @t312 () (or @t292 @t291 @t311)) % 0.38/0.75 (define @t313 () (and @t96 @t290 @t310)) % 0.38/0.75 (define @t314 () (forall @t98 (not @t313))) % 0.38/0.75 (define @t315 () (not @t314)) % 0.38/0.75 (define @t316 () (or @t296 @t295)) % 0.38/0.75 (define @t317 () (or @t298 @t297 @t316)) % 0.38/0.75 (define @t318 () (forall @t300 @t317)) % 0.38/0.75 (define @t319 () (@list @t288)) % 0.38/0.75 (define @t320 () (forall @t319 @t317)) % 0.38/0.75 (define @t321 () (forall @t319 @t316)) % 0.38/0.75 (define @t322 () (or @t298 @t297 @t321)) % 0.38/0.75 (define @t323 () (= @t12 @t84)) % 0.38/0.75 (define @t324 () (not @t323)) % 0.38/0.75 (define @t325 () (not @t85)) % 0.38/0.75 (define @t326 () (or @t325 @t324)) % 0.38/0.75 (define @t327 () (forall @t87 @t326)) % 0.38/0.75 (define @t328 () (or @t298 @t297 @t327)) % 0.38/0.75 (define @t329 () (or @t297 @t327)) % 0.38/0.75 (define @t330 () (not @t329)) % 0.38/0.75 (define @t331 () (and @t89 @t330)) % 0.38/0.75 (define @t332 () (forall @t91 (not @t331))) % 0.38/0.75 (define @t333 () (not @t332)) % 0.38/0.75 (define @t334 () (or @t297 @t326)) % 0.38/0.75 (define @t335 () (or @t325 @t324 @t297)) % 0.38/0.75 (define @t336 () (and @t85 @t323 @t81)) % 0.38/0.75 (define @t337 () (forall @t87 (not @t336))) % 0.38/0.75 (define @t338 () (not @t337)) % 0.38/0.75 (define @t339 () (forall @t148 @t145)) % 0.38/0.75 (define @t340 () (@quantifiers_skolemize @t339 1)) % 0.38/0.75 (define @t341 () (not (= @t124 @t340))) % 0.38/0.75 (define @t342 () (@quantifiers_skolemize @t339 0)) % 0.38/0.75 (define @t343 () (tptp.ssList @t340)) % 0.38/0.75 (define @t344 () (not @t343)) % 0.38/0.75 (define @t345 () (= tptp.nil @t342)) % 0.38/0.75 (define @t346 () (tptp.app @t342 @t340)) % 0.38/0.75 (define @t347 () (= tptp.nil @t346)) % 0.38/0.75 (define @t348 () (not @t347)) % 0.38/0.75 (define @t349 () (and @t348 @t345)) % 0.38/0.75 (define @t350 () (tptp.frontsegP @t346 @t342)) % 0.38/0.75 (define @t351 () (tptp.neq @t342 tptp.nil)) % 0.38/0.75 (define @t352 () (and @t351 @t350)) % 0.38/0.75 (define @t353 () (tptp.neq @t346 tptp.nil)) % 0.38/0.75 (define @t354 () (not @t353)) % 0.38/0.75 (define @t355 () (not (tptp.ssList @t346))) % 0.38/0.75 (define @t356 () (not (tptp.totalorderedP @t342))) % 0.38/0.75 (define @t357 () (tptp.ssList @t342)) % 0.38/0.75 (define @t358 () (not @t357)) % 0.38/0.75 (define @t359 () (or @t358 @t356 @t355 @t354 @t352 @t349 @t344 (not (forall @t134 (or @t133 @t132 @t131 @t130 (not (= @t128 @t342)) @t125 @t341))))) % 0.38/0.75 (define @t360 () (not @t359)) % 0.38/0.75 (define @t361 () (not @t339)) % 0.38/0.75 (define @t362 () (not (= @t342 @t128))) % 0.38/0.75 (define @t363 () (or @t133 @t132 @t131 @t130 @t362 @t125 @t341)) % 0.38/0.75 (define @t364 () (forall @t134 @t363)) % 0.38/0.75 (define @t365 () (not @t364)) % 0.38/0.75 (define @t366 () (= @t342 tptp.nil)) % 0.38/0.75 (define @t367 () (and @t348 @t366)) % 0.38/0.75 (define @t368 () (or @t358 @t356 @t355 @t354 @t352 @t367 @t344 @t365)) % 0.38/0.75 (define @t369 () (not @t368)) % 0.38/0.75 (define @t370 () (@list true)) % 0.38/0.75 (define @t371 () (@list @t359)) % 0.38/0.75 (define @t372 () (@var "BOUND_VARIABLE_9128" $$unsorted)) % 0.38/0.75 (define @t373 () (= (tptp.neq @t2 @t372) (not (= @t2 @t372)))) % 0.38/0.75 (define @t374 () (not (tptp.ssList @t372))) % 0.38/0.75 (define @t375 () (or @t144 @t374 @t373)) % 0.38/0.75 (define @t376 () (or @t374 @t373)) % 0.38/0.75 (define @t377 () (or @t144 @t376)) % 0.38/0.75 (define @t378 () (@list @t2 @t372)) % 0.38/0.75 (define @t379 () (forall @t378 @t377)) % 0.38/0.75 (define @t380 () (@list @t372)) % 0.38/0.75 (define @t381 () (forall @t380 @t377)) % 0.38/0.75 (define @t382 () (forall @t380 @t376)) % 0.38/0.75 (define @t383 () (or @t144 @t382)) % 0.38/0.75 (define @t384 () (forall @t7 (or @t173 @t5))) % 0.38/0.75 (define @t385 () (not @t366)) % 0.38/0.75 (define @t386 () (= @t351 @t385)) % 0.38/0.75 (define @t387 () (not @t42)) % 0.38/0.75 (define @t388 () (or @t358 @t387 @t386)) % 0.38/0.75 (define @t389 () (forall @t378 @t375)) % 0.38/0.75 (define @t390 () (not @t345)) % 0.38/0.75 (define @t391 () (= @t351 @t390)) % 0.38/0.75 (define @t392 () (or @t358 @t387 @t391)) % 0.38/0.75 (define @t393 () (@var "BOUND_VARIABLE_9855" $$unsorted)) % 0.38/0.75 (define @t394 () (@var "BOUND_VARIABLE_9857" $$unsorted)) % 0.38/0.75 (define @t395 () (tptp.frontsegP (tptp.app @t2 @t394) @t393)) % 0.38/0.75 (define @t396 () (not (tptp.ssList @t394))) % 0.38/0.75 (define @t397 () (not (tptp.frontsegP @t2 @t393))) % 0.38/0.75 (define @t398 () (not (tptp.ssList @t393))) % 0.38/0.75 (define @t399 () (or @t398 @t397 @t396 @t395)) % 0.38/0.75 (define @t400 () (or @t144 @t399)) % 0.38/0.75 (define @t401 () (forall (@list @t2 @t393 @t394) @t400)) % 0.38/0.75 (define @t402 () (@list @t393 @t394)) % 0.38/0.75 (define @t403 () (forall @t402 @t400)) % 0.38/0.75 (define @t404 () (forall @t402 @t399)) % 0.38/0.75 (define @t405 () (@var "BOUND_VARIABLE_9839" $$unsorted)) % 0.38/0.75 (define @t406 () (or @t144 @t404)) % 0.38/0.75 (define @t407 () (tptp.frontsegP (tptp.app @t2 @t405) @t1)) % 0.38/0.75 (define @t408 () (not (tptp.ssList @t405))) % 0.38/0.75 (define @t409 () (not @t20)) % 0.38/0.75 (define @t410 () (or @t173 @t409 @t408 @t407)) % 0.38/0.75 (define @t411 () (@list @t1 @t405)) % 0.38/0.75 (define @t412 () (forall @t411 @t410)) % 0.38/0.75 (define @t413 () (or @t408 @t407)) % 0.38/0.75 (define @t414 () (or @t173 @t409 @t413)) % 0.38/0.75 (define @t415 () (forall @t411 @t414)) % 0.38/0.75 (define @t416 () (@list @t405)) % 0.38/0.75 (define @t417 () (forall @t416 @t414)) % 0.38/0.75 (define @t418 () (forall @t416 @t413)) % 0.38/0.75 (define @t419 () (or @t173 @t409 @t418)) % 0.38/0.75 (define @t420 () (or @t211 @t62)) % 0.38/0.75 (define @t421 () (forall @t16 @t420)) % 0.38/0.75 (define @t422 () (or @t173 @t409 @t421)) % 0.38/0.75 (define @t423 () (or @t409 @t421)) % 0.38/0.75 (define @t424 () (or @t409 @t420)) % 0.38/0.75 (define @t425 () (or @t211 @t409 @t62)) % 0.38/0.75 (define @t426 () (tptp.frontsegP @t342 @t342)) % 0.38/0.75 (define @t427 () (or @t358 @t426)) % 0.38/0.75 (define @t428 () (not @t426)) % 0.38/0.75 (define @t429 () (or @t358 @t358 @t428 @t344 @t350)) % 0.38/0.75 (define @t430 () (@list true false)) % 0.38/0.75 (define @t431 () (not @t391)) % 0.38/0.75 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.38/0.75 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.38/0.75 (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))))))))))) % 0.38/0.75 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.38/0.75 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.38/0.75 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.38/0.75 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.38/0.75 (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))))))))))))))))) % 0.38/0.76 (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)))))))))))))))) % 0.38/0.76 (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))))))))))))))))) % 0.38/0.76 (assume @p11 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.38/0.76 (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))))))))))))))) % 0.38/0.76 (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 @t37)))))))))))))))) % 0.38/0.76 (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) @t37))))))))))))) % 0.38/0.76 (assume @p15 @t40) % 0.38/0.76 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t41)))))) % 0.38/0.76 (assume @p17 @t42) % 0.38/0.76 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t41 @t2))))))) % 0.38/0.76 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t43))))))))))) % 0.38/0.76 (assume @p20 (forall @t9 (=> @t17 (or @t45 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t44 @t2))))))))) % 0.38/0.76 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t41))))))) % 0.38/0.76 (assume @p22 (forall @t9 (=> @t17 (=> @t47 (tptp.ssItem @t46))))) % 0.38/0.76 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t41) @t1)))))) % 0.38/0.76 (assume @p24 (forall @t9 (=> @t17 (=> @t47 (tptp.ssList @t48))))) % 0.38/0.76 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t41) @t2)))))) % 0.38/0.76 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t49)))))) % 0.38/0.76 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t50) (tptp.app @t44 @t2))))))))) % 0.38/0.76 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.38/0.76 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 @t51) @t3)))))) % 0.38/0.76 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t26) (tptp.leq @t2 @t12))))))))) % 0.38/0.76 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.38/0.76 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t51)))))) % 0.38/0.76 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (not @t54))))))) % 0.38/0.76 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> 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bool-double-not-elim :args (@t339)) % 0.38/0.76 (step @p464 :rule nary_cong :premises (@p463 @p462) :args ((or (not @t361) @t360))) % 0.38/0.76 (step @p465 :rule refl :args (@t341)) % 0.38/0.76 (step @p466 :rule eq-symm :args (@t342 @t128)) % 0.38/0.76 (step @p467 :rule cong :premises (@p466) :args (@t362)) % 0.38/0.76 (step @p468 :rule nary_cong :premises (@p282 @p281 @p280 @p279 @p467 @p277 @p465) :args (@t363)) % 0.38/0.76 (step @p469 :rule cong :premises (@p468) :args (@t364)) % 0.38/0.76 (step @p470 :rule cong :premises (@p469) :args (@t365)) % 0.38/0.76 (step @p471 :rule refl :args (@t344)) % 0.38/0.76 (step @p472 :rule eq-symm :args (@t342 tptp.nil)) % 0.38/0.76 (step @p473 :rule refl :args (@t348)) % 0.38/0.76 (step @p474 :rule nary_cong :premises (@p473 @p472) :args (@t367)) % 0.38/0.76 (step @p475 :rule refl :args (@t352)) % 0.38/0.76 (step @p476 :rule refl :args (@t354)) % 0.38/0.76 (step @p477 :rule refl :args (@t355)) % 0.38/0.76 (step @p478 :rule refl :args (@t356)) % 0.38/0.76 (step @p479 :rule refl :args (@t358)) % 0.38/0.76 (step @p480 :rule nary_cong :premises (@p479 @p478 @p477 @p476 @p475 @p474 @p471 @p470) :args (@t368)) % 0.38/0.76 (step @p481 :rule cong :premises (@p480) :args (@t369)) % 0.38/0.76 (step @p482 :rule refl :args (@t361)) % 0.38/0.76 (step @p483 :rule cong :premises (@p482 @p481) :args ((=> @t361 @t369))) % 0.38/0.76 (assume-push @p640 @t361) % 0.38/0.76 (step @p485 :rule skolemize :premises (@p461)) % 0.38/0.76 (step-pop @p641 :rule scope :premises (@p485)) % 0.38/0.76 (step @p486 :rule process_scope :premises (@p641) :args (@t369)) % 0.38/0.76 (step @p488 :rule eq_resolve :premises (@p486 @p483)) % 0.38/0.76 (step @p489 :rule implies_elim :premises (@p488)) % 0.38/0.76 (step @p490 :rule eq_resolve :premises (@p489 @p464)) % 0.38/0.76 (step @p491 :rule chain_m_resolution :premises (@p490 @p461) :args (@t360 @t370 (@list @t339))) % 0.38/0.76 (step @p492 :rule bool-double-not-elim :args (@t353)) % 0.38/0.76 (step @p493 :rule refl :args (@t359)) % 0.38/0.76 (step @p494 :rule nary_cong :premises (@p493 @p492) :args ((or @t359 (not @t354)))) % 0.38/0.76 (step @p495 :rule cnf_or_neg :args (@t359 3)) % 0.38/0.76 (step @p496 :rule eq_resolve :premises (@p495 @p494)) % 0.38/0.76 (step @p497 :rule reordering :premises (@p496) :args ((or @t353 @t359))) % 0.38/0.76 (step @p498 :rule chain_m_resolution :premises (@p497 @p491) :args (@t353 @t370 @t371)) % 0.38/0.76 (step @p499 :rule true_intro :premises (@p498)) % 0.38/0.76 (step @p500 :rule refl :args (tptp.nil)) % 0.38/0.76 (step @p501 :rule aci_norm :args ((= @t377 @t375))) % 0.38/0.76 (step @p502 :rule cong :premises (@p501) :args (@t379)) % 0.38/0.76 (step @p503 :rule quant-merge-prenex :args ((= (forall @t9 @t381) @t379))) % 0.38/0.76 (step @p504 :rule alpha_equiv :args (@t382 (@list @t372) (@list @t1))) % 0.38/0.76 (step @p505 :rule nary_cong :premises (@p104 @p504) :args (@t383)) % 0.38/0.76 (step @p506 :rule quant-miniscope-or :args ((= @t381 @t383))) % 0.38/0.76 (step @p507 :rule trans :premises (@p506 @p505)) % 0.38/0.76 (step @p508 :rule symm :premises (@p507)) % 0.38/0.76 (step @p509 :rule cong :premises (@p508) :args ((forall @t9 (or @t144 @t384)))) % 0.38/0.76 (step @p510 :rule trans :premises (@p509 @p503)) % 0.38/0.76 (step @p511 :rule trans :premises (@p510 @p502)) % 0.38/0.76 (step @p512 :rule bool-impl-elim :args (@t17 @t384)) % 0.38/0.76 (step @p513 :rule cong :premises (@p512) :args ((forall @t9 (=> @t17 @t384)))) % 0.38/0.76 (step @p514 :rule trans :premises (@p513 @p511)) % 0.38/0.76 (step @p515 :rule bool-impl-elim :args (@t21 @t5)) % 0.38/0.76 (step @p516 :rule cong :premises (@p515) :args (@t38)) % 0.38/0.76 (step @p517 :rule cong :premises (@p456 @p516) :args (@t39)) % 0.38/0.76 (step @p518 :rule cong :premises (@p517) :args (@t40)) % 0.38/0.76 (step @p519 :rule trans :premises (@p518 @p514)) % 0.38/0.76 (step @p520 :rule eq_resolve :premises (@p15 @p519)) % 0.38/0.76 (step @p521 :rule cong :premises (@p472) :args (@t385)) % 0.38/0.76 (step @p522 :rule refl :args (@t351)) % 0.38/0.76 (step @p523 :rule cong :premises (@p522 @p521) :args (@t386)) % 0.38/0.76 (step @p524 :rule refl :args (@t387)) % 0.38/0.76 (step @p525 :rule nary_cong :premises (@p479 @p524 @p523) :args (@t388)) % 0.38/0.76 (step @p526 :rule refl :args (@t389)) % 0.38/0.76 (step @p527 :rule cong :premises (@p526 @p525) :args ((=> @t389 @t388))) % 0.38/0.76 (assume-push @p642 @t389) % 0.38/0.76 (step @p529 :rule instantiate :premises (@p520) :args ((@list @t342 tptp.nil))) % 0.38/0.76 (step-pop @p643 :rule scope :premises (@p529)) % 0.38/0.76 (step @p530 :rule process_scope :premises (@p643) :args (@t388)) % 0.38/0.76 (step @p532 :rule eq_resolve :premises (@p530 @p527)) % 0.38/0.76 (step @p533 :rule implies_elim :premises (@p532)) % 0.38/0.76 (step @p534 :rule chain_m_resolution :premises (@p533 @p520) :args (@t392 (@list false) (@list @t389))) % 0.38/0.76 (step @p535 :rule bool-double-not-elim :args (@t357)) % 0.38/0.76 (step @p536 :rule nary_cong :premises (@p493 @p535) :args ((or @t359 (not @t358)))) % 0.38/0.76 (step @p537 :rule cnf_or_neg :args (@t359 0)) % 0.38/0.76 (step @p538 :rule eq_resolve :premises (@p537 @p536)) % 0.38/0.76 (step @p539 :rule reordering :premises (@p538) :args ((or @t357 @t359))) % 0.38/0.76 (step @p540 :rule chain_m_resolution :premises (@p539 @p491) :args (@t357 @t370 @t371)) % 0.38/0.76 (step @p541 :rule cnf_or_pos :args (@t392)) % 0.38/0.76 (step @p542 :rule reordering :premises (@p541) :args ((or @t387 @t358 @t391 (not @t392)))) % 0.38/0.76 (step @p543 :rule chain_m_resolution :premises (@p542 @p17 @p540 @p534) :args (@t391 (@list false false false) (@list @t42 @t357 @t392))) % 0.38/0.76 (step @p544 :rule aci_norm :args ((= @t400 (or @t144 @t398 @t397 @t396 @t395)))) % 0.38/0.76 (step @p545 :rule cong :premises (@p544) :args (@t401)) % 0.38/0.76 (step @p546 :rule quant-merge-prenex :args ((= (forall @t9 @t403) @t401))) % 0.38/0.76 (step @p547 :rule alpha_equiv :args (@t404 (@list @t393 @t394) (@list @t1 @t405))) % 0.38/0.76 (step @p548 :rule nary_cong :premises (@p104 @p547) :args (@t406)) % 0.38/0.76 (step @p549 :rule quant-miniscope-or :args ((= @t403 @t406))) % 0.38/0.76 (step @p550 :rule trans :premises (@p549 @p548)) % 0.38/0.76 (step @p551 :rule symm :premises (@p550)) % 0.38/0.76 (step @p552 :rule cong :premises (@p551) :args ((forall @t9 (or @t144 @t412)))) % 0.38/0.76 (step @p553 :rule trans :premises (@p552 @p546)) % 0.38/0.76 (step @p554 :rule trans :premises (@p553 @p545)) % 0.38/0.76 (step @p555 :rule bool-impl-elim :args (@t17 @t412)) % 0.38/0.76 (step @p556 :rule cong :premises (@p555) :args ((forall @t9 (=> @t17 @t412)))) % 0.38/0.76 (step @p557 :rule trans :premises (@p556 @p554)) % 0.38/0.76 (step @p558 :rule aci_norm :args ((= @t414 @t410))) % 0.38/0.76 (step @p559 :rule cong :premises (@p558) :args (@t415)) % 0.38/0.76 (step @p560 :rule quant-merge-prenex :args ((= (forall @t7 @t417) @t415))) % 0.38/0.76 (step @p561 :rule alpha_equiv :args (@t418 (@list @t405) (@list @t12))) % 0.38/0.76 (step @p562 :rule refl :args (@t409)) % 0.38/0.76 (step @p563 :rule nary_cong :premises (@p152 @p562 @p561) :args (@t419)) % 0.38/0.76 (step @p564 :rule quant-miniscope-or :args ((= @t417 @t419))) % 0.38/0.76 (step @p565 :rule trans :premises (@p564 @p563)) % 0.38/0.76 (step @p566 :rule symm :premises (@p565)) % 0.38/0.76 (step @p567 :rule cong :premises (@p566) :args ((forall @t7 @t422))) % 0.38/0.76 (step @p568 :rule trans :premises (@p567 @p560)) % 0.38/0.76 (step @p569 :rule trans :premises (@p568 @p559)) % 0.38/0.76 (step @p570 :rule aci_norm :args ((= (or @t173 @t423) @t422))) % 0.38/0.76 (step @p571 :rule bool-impl-elim :args (@t21 @t423)) % 0.38/0.76 (step @p572 :rule trans :premises (@p571 @p570)) % 0.38/0.76 (step @p573 :rule cong :premises (@p572) :args ((forall @t7 (=> @t21 @t423)))) % 0.38/0.76 (step @p574 :rule trans :premises (@p573 @p569)) % 0.38/0.76 (step @p575 :rule quant-miniscope-or :args ((= (forall @t16 @t424) @t423))) % 0.38/0.76 (step @p576 :rule aci_norm :args ((= @t425 @t424))) % 0.38/0.76 (step @p577 :rule cong :premises (@p576) :args ((forall @t16 @t425))) % 0.38/0.76 (step @p578 :rule trans :premises (@p577 @p575)) % 0.38/0.76 (step @p579 :rule aci_norm :args ((= (or @t211 (or @t409 @t62)) @t425))) % 0.38/0.76 (step @p580 :rule bool-impl-elim :args (@t20 @t62)) % 0.38/0.76 (step @p581 :rule nary_cong :premises (@p197 @p580) :args ((or @t211 @t63))) % 0.38/0.76 (step @p582 :rule trans :premises (@p581 @p579)) % 0.38/0.76 (step @p583 :rule bool-impl-elim :args (@t15 @t63)) % 0.38/0.76 (step @p584 :rule trans :premises (@p583 @p582)) % 0.38/0.76 (step @p585 :rule cong :premises (@p584) :args (@t64)) % 0.38/0.76 (step @p586 :rule trans :premises (@p585 @p578)) % 0.38/0.76 (step @p587 :rule cong :premises (@p452 @p586) :args (@t65)) % 0.38/0.76 (step @p588 :rule cong :premises (@p587) :args (@t66)) % 0.38/0.76 (step @p589 :rule trans :premises (@p588 @p574)) % 0.38/0.76 (step @p590 :rule cong :premises (@p456 @p589) :args (@t67)) % 0.38/0.76 (step @p591 :rule cong :premises (@p590) :args (@t68)) % 0.38/0.76 (step @p592 :rule trans :premises (@p591 @p557)) % 0.38/0.76 (step @p593 :rule eq_resolve :premises (@p43 @p592)) % 0.38/0.76 (step @p594 :rule instantiate :premises (@p593) :args ((@list @t342 @t342 @t340))) % 0.38/0.76 (step @p595 :rule bool-impl-elim :args (@t17 @t60)) % 0.38/0.76 (step @p596 :rule cong :premises (@p595) :args (@t61)) % 0.38/0.76 (step @p597 :rule eq_resolve :premises (@p42 @p596)) % 0.38/0.76 (step @p598 :rule instantiate :premises (@p597) :args ((@list @t342))) % 0.38/0.76 (step @p599 :rule cnf_or_pos :args (@t427)) % 0.38/0.76 (step @p600 :rule reordering :premises (@p599) :args ((or @t358 @t426 (not @t427)))) % 0.38/0.76 (step @p601 :rule chain_m_resolution :premises (@p600 @p540 @p598) :args (@t426 (@list false false) (@list @t357 @t427))) % 0.38/0.76 (step @p602 :rule bool-double-not-elim :args (@t343)) % 0.38/0.76 (step @p603 :rule nary_cong :premises (@p493 @p602) :args ((or @t359 (not @t344)))) % 0.38/0.76 (step @p604 :rule cnf_or_neg :args (@t359 6)) % 0.38/0.76 (step @p605 :rule eq_resolve :premises (@p604 @p603)) % 0.38/0.76 (step @p606 :rule reordering :premises (@p605) :args ((or @t343 @t359))) % 0.38/0.76 (step @p607 :rule chain_m_resolution :premises (@p606 @p491) :args (@t343 @t370 @t371)) % 0.38/0.76 (step @p608 :rule cnf_or_pos :args (@t429)) % 0.38/0.76 (step @p609 :rule factoring :premises (@p608)) % 0.38/0.76 (step @p610 :rule reordering :premises (@p609) :args ((or @t358 @t350 @t344 @t428 (not @t429)))) % 0.38/0.76 (step @p611 :rule chain_m_resolution :premises (@p610 @p540 @p607 @p601 @p594) :args (@t350 (@list false false false false) (@list @t357 @t343 @t426 @t429))) % 0.38/0.76 (step @p612 :rule cnf_or_neg :args (@t359 4)) % 0.38/0.76 (step @p613 :rule chain_m_resolution :premises (@p612 @p491) :args ((not @t352) @t370 @t371)) % 0.38/0.76 (step @p614 :rule cnf_and_neg :args (@t352)) % 0.38/0.76 (step @p615 :rule chain_m_resolution :premises (@p614 @p613 @p611) :args ((not @t351) @t430 (@list @t352 @t350))) % 0.38/0.76 (step @p616 :rule bool-double-not-elim :args (@t345)) % 0.38/0.76 (step @p617 :rule refl :args (@t431)) % 0.38/0.76 (step @p618 :rule nary_cong :premises (@p617 @p522 @p616) :args ((or @t431 @t351 (not @t390)))) % 0.38/0.76 (step @p619 :rule cnf_equiv_pos2 :args (@t391)) % 0.38/0.76 (step @p620 :rule eq_resolve :premises (@p619 @p618)) % 0.38/0.76 (step @p621 :rule reordering :premises (@p620) :args ((or @t351 @t345 @t431))) % 0.38/0.76 (step @p622 :rule chain_m_resolution :premises (@p621 @p615 @p543) :args (@t345 @t430 (@list @t351 @t391))) % 0.38/0.76 (step @p623 :rule cnf_or_neg :args (@t359 5)) % 0.38/0.76 (step @p624 :rule chain_m_resolution :premises (@p623 @p491) :args ((not @t349) @t370 @t371)) % 0.38/0.76 (step @p625 :rule refl :args (@t390)) % 0.38/0.76 (step @p626 :rule bool-double-not-elim :args (@t347)) % 0.38/0.76 (step @p627 :rule refl :args (@t349)) % 0.38/0.76 (step @p628 :rule nary_cong :premises (@p627 @p626 @p625) :args ((or @t349 (not @t348) @t390))) % 0.38/0.76 (step @p629 :rule cnf_and_neg :args (@t349)) % 0.38/0.76 (step @p630 :rule eq_resolve :premises (@p629 @p628)) % 0.38/0.76 (step @p631 :rule reordering :premises (@p630) :args ((or @t347 @t349 @t390))) % 0.38/0.76 (step @p632 :rule chain_m_resolution :premises (@p631 @p624 @p622) :args (@t347 @t430 (@list @t349 @t345))) % 0.38/0.76 (step @p633 :rule symm :premises (@p622)) % 0.38/0.76 (step @p634 :rule trans :premises (@p633 @p632)) % 0.38/0.76 (step @p635 :rule cong :premises (@p634 @p500) :args (@t351)) % 0.38/0.76 (step @p636 :rule false_intro :premises (@p615)) % 0.38/0.76 (step @p637 :rule symm :premises (@p636)) % 0.38/0.76 (step @p638 :rule trans :premises (@p637 @p635 @p499)) % 0.38/0.76 (step @p639 false :rule eq_resolve :premises (@p638 @p98)) % 0.38/0.76 ) % 0.38/0.76 % SZS output end Proof % 0.38/0.76 % cvc5 exiting %------------------------------------------------------------------------------