%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC258+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 08:58:38 AM UTC 2026 % Result : Theorem 0.45s 0.69s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC258+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n004.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 19:33:37 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.69 % SZS status Theorem % 0.45/0.69 % SZS output start Proof % 0.45/0.69 ( % 0.45/0.69 (declare-sort $$unsorted 0) % 0.45/0.69 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.nil $$unsorted) % 0.45/0.69 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (define @t1 () (@var "V" $$unsorted)) % 0.45/0.69 (define @t2 () (@var "U" $$unsorted)) % 0.45/0.69 (define @t3 () (= @t2 @t1)) % 0.45/0.69 (define @t4 () (not @t3)) % 0.45/0.69 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.45/0.69 (define @t6 () (tptp.ssItem @t1)) % 0.45/0.69 (define @t7 () (@list @t1)) % 0.45/0.69 (define @t8 () (tptp.ssItem @t2)) % 0.45/0.69 (define @t9 () (@list @t2)) % 0.45/0.69 (define @t10 () (@var "X" $$unsorted)) % 0.45/0.69 (define @t11 () (tptp.cons @t1 @t10)) % 0.45/0.69 (define @t12 () (@var "W" $$unsorted)) % 0.45/0.69 (define @t13 () (tptp.ssList @t10)) % 0.45/0.69 (define @t14 () (@list @t10)) % 0.45/0.69 (define @t15 () (tptp.ssList @t12)) % 0.45/0.69 (define @t16 () (@list @t12)) % 0.45/0.69 (define @t17 () (tptp.ssList @t2)) % 0.45/0.69 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.45/0.69 (define @t19 () (tptp.app @t1 @t12)) % 0.45/0.69 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.45/0.69 (define @t21 () (tptp.ssList @t1)) % 0.45/0.69 (define @t22 () (tptp.app @t12 @t1)) % 0.45/0.69 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.45/0.69 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.45/0.69 (define @t25 () (tptp.leq @t12 @t1)) % 0.45/0.69 (define @t26 () (tptp.leq @t1 @t12)) % 0.45/0.69 (define @t27 () (@var "Z" $$unsorted)) % 0.45/0.69 (define @t28 () (@var "Y" $$unsorted)) % 0.45/0.69 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.45/0.69 (define @t30 () (tptp.ssList @t27)) % 0.45/0.69 (define @t31 () (@list @t27)) % 0.45/0.69 (define @t32 () (tptp.ssList @t28)) % 0.45/0.69 (define @t33 () (@list @t28)) % 0.45/0.69 (define @t34 () (tptp.ssItem @t12)) % 0.45/0.69 (define @t35 () (tptp.lt @t1 @t12)) % 0.45/0.69 (define @t36 () (tptp.totalorderedP @t2)) % 0.45/0.69 (define @t37 () (= @t1 @t12)) % 0.45/0.69 (define @t38 () (tptp.cons @t1 @t2)) % 0.45/0.69 (define @t39 () (= @t1 @t2)) % 0.45/0.69 (define @t40 () (tptp.cons @t12 @t1)) % 0.45/0.69 (define @t41 () (= tptp.nil @t2)) % 0.45/0.69 (define @t42 () (tptp.hd @t2)) % 0.45/0.69 (define @t43 () (not @t41)) % 0.45/0.69 (define @t44 () (tptp.tl @t2)) % 0.45/0.69 (define @t45 () (tptp.app @t2 @t1)) % 0.45/0.69 (define @t46 () (tptp.app @t1 @t2)) % 0.45/0.69 (define @t47 () (tptp.leq @t1 @t2)) % 0.45/0.69 (define @t48 () (tptp.leq @t2 @t1)) % 0.45/0.69 (define @t49 () (tptp.geq @t2 @t1)) % 0.45/0.69 (define @t50 () (tptp.lt @t1 @t2)) % 0.45/0.69 (define @t51 () (tptp.lt @t2 @t1)) % 0.45/0.69 (define @t52 () (tptp.lt @t2 @t12)) % 0.45/0.69 (define @t53 () (tptp.gt @t2 @t1)) % 0.45/0.69 (define @t54 () (tptp.memberP @t12 @t2)) % 0.45/0.69 (define @t55 () (tptp.app @t12 @t2)) % 0.45/0.69 (define @t56 () (tptp.cons @t2 tptp.nil)) % 0.45/0.69 (define @t57 () (tptp.totalorderedP @t56)) % 0.45/0.69 (define @t58 () (forall @t9 (=> @t8 @t57))) % 0.45/0.69 (define @t59 () (tptp.totalorderedP tptp.nil)) % 0.45/0.69 (define @t60 () (tptp.hd @t1)) % 0.45/0.69 (define @t61 () (= tptp.nil @t1)) % 0.45/0.69 (define @t62 () (not @t61)) % 0.45/0.69 (define @t63 () (tptp.cons @t2 @t1)) % 0.45/0.69 (define @t64 () (= @t12 @t2)) % 0.45/0.69 (define @t65 () (not (= tptp.nil @t12))) % 0.45/0.69 (define @t66 () (not (= tptp.nil @t10))) % 0.45/0.69 (define @t67 () (or @t66 @t65)) % 0.45/0.69 (define @t68 () (tptp.leq @t27 @t28)) % 0.45/0.69 (define @t69 () (tptp.memberP @t10 @t27)) % 0.45/0.69 (define @t70 () (= @t28 @t27)) % 0.45/0.69 (define @t71 () (not @t70)) % 0.45/0.69 (define @t72 () (tptp.ssItem @t27)) % 0.45/0.69 (define @t73 () (and @t72 @t71 @t69 @t68)) % 0.45/0.69 (define @t74 () (exists @t31 @t73)) % 0.45/0.69 (define @t75 () (not (tptp.memberP @t10 @t28))) % 0.45/0.69 (define @t76 () (tptp.cons @t28 tptp.nil)) % 0.45/0.69 (define @t77 () (not (= @t76 @t12))) % 0.45/0.69 (define @t78 () (or @t77 @t75 @t74)) % 0.45/0.69 (define @t79 () (tptp.ssItem @t28)) % 0.45/0.69 (define @t80 () (=> @t79 @t78)) % 0.45/0.69 (define @t81 () (forall @t33 @t80)) % 0.45/0.69 (define @t82 () (and @t81 @t67)) % 0.45/0.69 (define @t83 () (not (= @t2 @t12))) % 0.45/0.69 (define @t84 () (not (= @t1 @t10))) % 0.45/0.69 (define @t85 () (or @t84 @t83 @t36 @t82)) % 0.45/0.69 (define @t86 () (=> @t13 @t85)) % 0.45/0.69 (define @t87 () (forall @t14 @t86)) % 0.45/0.69 (define @t88 () (=> @t15 @t87)) % 0.45/0.69 (define @t89 () (forall @t16 @t88)) % 0.45/0.69 (define @t90 () (=> @t21 @t89)) % 0.45/0.69 (define @t91 () (forall @t7 @t90)) % 0.45/0.69 (define @t92 () (=> @t17 @t91)) % 0.45/0.69 (define @t93 () (forall @t9 @t92)) % 0.45/0.69 (define @t94 () (not @t93)) % 0.45/0.69 (define @t95 () (not (= @t2 tptp.nil))) % 0.45/0.69 (define @t96 () (@var "BOUND_VARIABLE_11131" $$unsorted)) % 0.45/0.69 (define @t97 () (not (= @t96 tptp.nil))) % 0.45/0.69 (define @t98 () (or @t97 @t95)) % 0.45/0.69 (define @t99 () (@var "BOUND_VARIABLE_11133" $$unsorted)) % 0.45/0.69 (define @t100 () (not @t72)) % 0.45/0.69 (define @t101 () (or (not (tptp.ssItem @t99)) (not (= @t2 (tptp.cons @t99 tptp.nil))) (not (tptp.memberP @t96 @t99)) (not (forall @t31 (or @t100 (= @t27 @t99) (not (tptp.memberP @t96 @t27)) (not (tptp.leq @t27 @t99))))))) % 0.45/0.69 (define @t102 () (and @t101 @t98)) % 0.45/0.69 (define @t103 () (not (tptp.ssList @t96))) % 0.45/0.69 (define @t104 () (not @t17)) % 0.45/0.69 (define @t105 () (or @t104 @t36 @t103 @t102)) % 0.45/0.69 (define @t106 () (or @t103 @t102)) % 0.45/0.69 (define @t107 () (or @t104 @t36 @t106)) % 0.45/0.69 (define @t108 () (@list @t2 @t96 @t99)) % 0.45/0.69 (define @t109 () (forall @t108 @t107)) % 0.45/0.69 (define @t110 () (@list @t96 @t99)) % 0.45/0.69 (define @t111 () (forall @t110 @t107)) % 0.45/0.69 (define @t112 () (forall @t110 @t106)) % 0.45/0.69 (define @t113 () (@var "BOUND_VARIABLE_11106" $$unsorted)) % 0.45/0.69 (define @t114 () (or @t104 @t36 @t112)) % 0.45/0.69 (define @t115 () (not (= @t1 tptp.nil))) % 0.45/0.69 (define @t116 () (or @t115 @t95)) % 0.45/0.69 (define @t117 () (not (tptp.memberP @t1 @t27))) % 0.45/0.69 (define @t118 () (or (not (tptp.ssItem @t113)) (not (= @t2 (tptp.cons @t113 tptp.nil))) (not (tptp.memberP @t1 @t113)) (not (forall @t31 (or @t100 (= @t27 @t113) @t117 (not (tptp.leq @t27 @t113))))))) % 0.45/0.69 (define @t119 () (and @t118 @t116)) % 0.45/0.69 (define @t120 () (not @t21)) % 0.45/0.69 (define @t121 () (or @t120 @t119)) % 0.45/0.69 (define @t122 () (forall (@list @t1 @t113) @t121)) % 0.45/0.69 (define @t123 () (or @t104 @t36 @t122)) % 0.45/0.69 (define @t124 () (or @t36 @t104 @t122)) % 0.45/0.69 (define @t125 () (@list @t113)) % 0.45/0.69 (define @t126 () (forall @t125 @t121)) % 0.45/0.69 (define @t127 () (forall @t125 @t116)) % 0.45/0.69 (define @t128 () (forall @t125 @t118)) % 0.45/0.69 (define @t129 () (@var "BOUND_VARIABLE_11075" $$unsorted)) % 0.45/0.69 (define @t130 () (@list @t129)) % 0.45/0.69 (define @t131 () (and @t128 @t127)) % 0.45/0.69 (define @t132 () (forall @t125 @t119)) % 0.45/0.69 (define @t133 () (or @t120 @t132)) % 0.45/0.69 (define @t134 () (and (forall (@list @t129) (or (not (tptp.ssItem @t129)) (not (= @t2 (tptp.cons @t129 tptp.nil))) (not (tptp.memberP @t1 @t129)) (not (forall @t31 (or @t100 (= @t27 @t129) @t117 (not (tptp.leq @t27 @t129))))))) @t116)) % 0.45/0.69 (define @t135 () (or @t120 @t134)) % 0.45/0.69 (define @t136 () (forall @t7 @t135)) % 0.45/0.69 (define @t137 () (or @t36 @t104 @t136)) % 0.45/0.69 (define @t138 () (or @t36 @t104 @t135)) % 0.45/0.69 (define @t139 () (or @t120 @t36 @t104 @t134)) % 0.45/0.69 (define @t140 () (or @t36 @t120 @t104 @t134)) % 0.45/0.69 (define @t141 () (@var "BOUND_VARIABLE_11040" $$unsorted)) % 0.45/0.69 (define @t142 () (@list @t141)) % 0.45/0.69 (define @t143 () (forall @t142 @t116)) % 0.45/0.69 (define @t144 () (not (forall @t31 (or @t100 (= @t27 @t141) @t117 (not (tptp.leq @t27 @t141)))))) % 0.45/0.69 (define @t145 () (not (tptp.memberP @t1 @t141))) % 0.45/0.69 (define @t146 () (tptp.cons @t141 tptp.nil)) % 0.45/0.69 (define @t147 () (not (tptp.ssItem @t141))) % 0.45/0.69 (define @t148 () (or @t147 (not (= @t2 @t146)) @t145 @t144)) % 0.45/0.69 (define @t149 () (forall @t142 @t148)) % 0.45/0.69 (define @t150 () (@list @t141)) % 0.45/0.69 (define @t151 () (and @t149 @t143)) % 0.45/0.69 (define @t152 () (and @t148 @t116)) % 0.45/0.69 (define @t153 () (forall @t142 @t152)) % 0.45/0.69 (define @t154 () (or @t104 @t153)) % 0.45/0.69 (define @t155 () (or @t104 @t152)) % 0.45/0.69 (define @t156 () (not (= @t2 @t2))) % 0.45/0.69 (define @t157 () (or @t104 @t156 @t152)) % 0.45/0.69 (define @t158 () (not (= @t12 tptp.nil))) % 0.45/0.69 (define @t159 () (or @t115 @t158)) % 0.45/0.69 (define @t160 () (or @t147 (not (= @t12 @t146)) @t145 @t144)) % 0.45/0.69 (define @t161 () (and @t160 @t159)) % 0.45/0.69 (define @t162 () (not @t15)) % 0.45/0.69 (define @t163 () (or @t83 @t162 @t83 @t161)) % 0.45/0.69 (define @t164 () (or @t162 @t83 @t161)) % 0.45/0.69 (define @t165 () (forall @t16 @t164)) % 0.45/0.69 (define @t166 () (forall @t142 @t165)) % 0.45/0.69 (define @t167 () (forall (@list @t141 @t12) @t164)) % 0.45/0.69 (define @t168 () (forall (@list @t12 @t141) @t164)) % 0.45/0.69 (define @t169 () (forall @t142 @t164)) % 0.45/0.69 (define @t170 () (forall @t142 @t159)) % 0.45/0.69 (define @t171 () (forall @t142 @t160)) % 0.45/0.69 (define @t172 () (@var "BOUND_VARIABLE_11009" $$unsorted)) % 0.45/0.69 (define @t173 () (@list @t172)) % 0.45/0.69 (define @t174 () (and @t171 @t170)) % 0.45/0.69 (define @t175 () (forall @t142 @t161)) % 0.45/0.69 (define @t176 () (or @t162 @t83 @t175)) % 0.45/0.69 (define @t177 () (and (forall (@list @t172) (or (not (tptp.ssItem @t172)) (not (= @t12 (tptp.cons @t172 tptp.nil))) (not (tptp.memberP @t1 @t172)) (not (forall @t31 (or @t100 (= @t27 @t172) @t117 (not (tptp.leq @t27 @t172))))))) @t159)) % 0.45/0.69 (define @t178 () (or @t162 @t83 @t177)) % 0.45/0.69 (define @t179 () (forall @t16 @t178)) % 0.45/0.69 (define @t180 () (or @t36 @t120 @t179)) % 0.45/0.69 (define @t181 () (or @t36 @t120 @t178)) % 0.45/0.69 (define @t182 () (or @t162 @t83 @t36 @t120 @t177)) % 0.45/0.69 (define @t183 () (or @t83 @t36 @t120 @t177)) % 0.45/0.69 (define @t184 () (@var "BOUND_VARIABLE_10963" $$unsorted)) % 0.45/0.69 (define @t185 () (@list @t184)) % 0.45/0.69 (define @t186 () (forall @t185 @t159)) % 0.45/0.69 (define @t187 () (not (tptp.leq @t27 @t184))) % 0.45/0.69 (define @t188 () (= @t27 @t184)) % 0.45/0.69 (define @t189 () (not (= @t12 (tptp.cons @t184 tptp.nil)))) % 0.45/0.69 (define @t190 () (not (tptp.ssItem @t184))) % 0.45/0.69 (define @t191 () (or @t190 @t189 (not (tptp.memberP @t1 @t184)) (not (forall @t31 (or @t100 @t188 @t117 @t187))))) % 0.45/0.69 (define @t192 () (forall @t185 @t191)) % 0.45/0.69 (define @t193 () (@list @t184)) % 0.45/0.69 (define @t194 () (and @t192 @t186)) % 0.45/0.69 (define @t195 () (and @t191 @t159)) % 0.45/0.69 (define @t196 () (forall @t185 @t195)) % 0.45/0.69 (define @t197 () (or @t120 @t196)) % 0.45/0.69 (define @t198 () (or @t120 @t195)) % 0.45/0.69 (define @t199 () (not (= @t1 @t1))) % 0.45/0.69 (define @t200 () (or @t120 @t199 @t195)) % 0.45/0.69 (define @t201 () (or (not (= @t10 tptp.nil)) @t158)) % 0.45/0.69 (define @t202 () (not @t69)) % 0.45/0.69 (define @t203 () (not (tptp.memberP @t10 @t184))) % 0.45/0.69 (define @t204 () (and (or @t190 @t189 @t203 (not (forall @t31 (or @t100 @t188 @t202 @t187)))) @t201)) % 0.45/0.69 (define @t205 () (not @t13)) % 0.45/0.69 (define @t206 () (or @t84 @t205 @t84 @t204)) % 0.45/0.69 (define @t207 () (or @t205 @t84 @t204)) % 0.45/0.69 (define @t208 () (forall @t14 @t207)) % 0.45/0.69 (define @t209 () (forall @t185 @t208)) % 0.45/0.69 (define @t210 () (forall (@list @t184 @t10) @t207)) % 0.45/0.69 (define @t211 () (@list @t10 @t184)) % 0.45/0.69 (define @t212 () (or @t100 (= @t184 @t27) @t202 @t187)) % 0.45/0.69 (define @t213 () (forall @t31 @t212)) % 0.45/0.69 (define @t214 () (not @t213)) % 0.45/0.69 (define @t215 () (or @t190 @t189 @t203 @t214)) % 0.45/0.69 (define @t216 () (and @t215 @t201)) % 0.45/0.69 (define @t217 () (or @t205 @t84 @t216)) % 0.45/0.69 (define @t218 () (forall @t211 @t217)) % 0.45/0.69 (define @t219 () (forall @t185 @t217)) % 0.45/0.69 (define @t220 () (forall @t185 @t201)) % 0.45/0.69 (define @t221 () (forall @t185 @t215)) % 0.45/0.69 (define @t222 () (and @t221 @t220)) % 0.45/0.69 (define @t223 () (forall @t185 @t216)) % 0.45/0.69 (define @t224 () (or @t205 @t84 @t223)) % 0.45/0.69 (define @t225 () (not @t68)) % 0.45/0.69 (define @t226 () (not (forall @t31 (or @t100 @t70 @t202 @t225)))) % 0.45/0.69 (define @t227 () (not (= @t12 @t76))) % 0.45/0.69 (define @t228 () (not @t79)) % 0.45/0.69 (define @t229 () (or @t228 @t227 @t75 @t226)) % 0.45/0.69 (define @t230 () (and (forall @t33 @t229) @t201)) % 0.45/0.69 (define @t231 () (or @t205 @t84 @t230)) % 0.45/0.69 (define @t232 () (forall @t14 @t231)) % 0.45/0.69 (define @t233 () (or @t83 @t36 @t232)) % 0.45/0.69 (define @t234 () (or @t83 @t36 @t231)) % 0.45/0.69 (define @t235 () (or @t205 @t84 @t83 @t36 @t230)) % 0.45/0.69 (define @t236 () (or @t84 @t83 @t36 @t230)) % 0.45/0.69 (define @t237 () (or @t227 @t75 @t226)) % 0.45/0.69 (define @t238 () (not @t71)) % 0.45/0.69 (define @t239 () (or @t100 @t238 @t202 @t225)) % 0.45/0.69 (define @t240 () (forall @t31 (not @t73))) % 0.45/0.69 (define @t241 () (not @t240)) % 0.45/0.69 (define @t242 () (forall @t108 (or @t104 @t36 @t103 (and @t101 (or (not (= tptp.nil @t96)) @t95))))) % 0.45/0.69 (define @t243 () (@quantifiers_skolemize @t242 0)) % 0.45/0.69 (define @t244 () (= tptp.nil @t243)) % 0.45/0.69 (define @t245 () (not @t244)) % 0.45/0.69 (define @t246 () (@quantifiers_skolemize @t242 1)) % 0.45/0.69 (define @t247 () (not (= tptp.nil @t246))) % 0.45/0.69 (define @t248 () (or @t247 @t245)) % 0.45/0.69 (define @t249 () (@quantifiers_skolemize @t242 2)) % 0.45/0.69 (define @t250 () (tptp.cons @t249 tptp.nil)) % 0.45/0.69 (define @t251 () (= @t243 @t250)) % 0.45/0.69 (define @t252 () (not @t251)) % 0.45/0.69 (define @t253 () (tptp.ssItem @t249)) % 0.45/0.69 (define @t254 () (not @t253)) % 0.45/0.69 (define @t255 () (or @t254 @t252 (not (tptp.memberP @t246 @t249)) (not (forall @t31 (or @t100 (= @t27 @t249) (not (tptp.memberP @t246 @t27)) (not (tptp.leq @t27 @t249))))))) % 0.45/0.69 (define @t256 () (and @t255 @t248)) % 0.45/0.69 (define @t257 () (not (tptp.ssList @t246))) % 0.45/0.69 (define @t258 () (tptp.totalorderedP @t243)) % 0.45/0.69 (define @t259 () (not (tptp.ssList @t243))) % 0.45/0.69 (define @t260 () (or @t259 @t258 @t257 @t256)) % 0.45/0.69 (define @t261 () (not @t260)) % 0.45/0.69 (define @t262 () (not @t242)) % 0.45/0.69 (define @t263 () (not (= @t243 tptp.nil))) % 0.45/0.69 (define @t264 () (or @t247 @t263)) % 0.45/0.69 (define @t265 () (and @t255 @t264)) % 0.45/0.69 (define @t266 () (or @t259 @t258 @t257 @t265)) % 0.45/0.69 (define @t267 () (not @t266)) % 0.45/0.69 (define @t268 () (@list true)) % 0.45/0.69 (define @t269 () (not @t258)) % 0.45/0.69 (define @t270 () (@list @t260)) % 0.45/0.69 (define @t271 () (not @t59)) % 0.45/0.69 (define @t272 () (not @t269)) % 0.45/0.69 (define @t273 () (= false true)) % 0.45/0.69 (define @t274 () (@list @t255)) % 0.45/0.69 (define @t275 () (tptp.totalorderedP @t250)) % 0.45/0.69 (define @t276 () (or @t254 @t275)) % 0.45/0.69 (define @t277 () (not @t275)) % 0.45/0.69 (define @t278 () (and @t275 @t251 @t269)) % 0.45/0.69 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.45/0.69 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.45/0.69 (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))))))))))) % 0.45/0.69 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.45/0.69 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.45/0.69 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.45/0.69 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.45/0.69 (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))))))))))))))))) % 0.45/0.69 (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)))))))))))))))) % 0.45/0.69 (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))))))))))))))))) % 0.45/0.69 (assume @p11 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.45/0.69 (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))))))))))))))) % 0.45/0.69 (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)))))))))))))))) % 0.45/0.69 (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))))))))))))) % 0.45/0.69 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.45/0.69 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t38)))))) % 0.45/0.69 (assume @p17 (tptp.ssList tptp.nil)) % 0.45/0.69 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t38 @t2))))))) % 0.45/0.69 (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) @t39))))))))))) % 0.45/0.69 (assume @p20 (forall @t9 (=> @t17 (or @t41 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t40 @t2))))))))) % 0.45/0.69 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t38))))))) % 0.45/0.69 (assume @p22 (forall @t9 (=> @t17 (=> @t43 (tptp.ssItem @t42))))) % 0.45/0.69 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t38) @t1)))))) % 0.45/0.69 (assume @p24 (forall @t9 (=> @t17 (=> @t43 (tptp.ssList @t44))))) % 0.45/0.69 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t38) @t2)))))) % 0.45/0.69 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t45)))))) % 0.45/0.69 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t46) (tptp.app @t40 @t2))))))))) % 0.45/0.69 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.45/0.69 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 @t47) @t3)))))) % 0.45/0.69 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t26) (tptp.leq @t2 @t12))))))))) % 0.45/0.69 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.45/0.69 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t49 @t47)))))) % 0.45/0.69 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (not @t50))))))) % 0.45/0.69 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t52)))))))) % 0.45/0.69 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t50)))))) % 0.45/0.69 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t54))))))))) % 0.45/0.69 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t54))))))))) % 0.45/0.69 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.45/0.69 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.45/0.69 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.45/0.69 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.45/0.69 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.45/0.69 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.45/0.69 (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)))))))))))) % 0.45/0.69 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.45/0.69 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t41)))) % 0.45/0.69 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.45/0.69 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.45/0.69 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.45/0.69 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t55 @t1))))))))) % 0.45/0.69 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.45/0.69 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t41)))) % 0.45/0.69 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.45/0.69 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.45/0.69 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.45/0.69 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t55 @t10) @t1))))))))))) % 0.45/0.69 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.45/0.69 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t41)))) % 0.45/0.69 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t56)))) % 0.45/0.69 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.45/0.69 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t56)))) % 0.45/0.69 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.45/0.69 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t56)))) % 0.45/0.69 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.45/0.69 (assume @p65 @t58) % 0.45/0.69 (assume @p66 @t59) % 0.45/0.69 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t63) (or @t61 (and @t62 (tptp.totalorderedP @t1) (tptp.leq @t2 @t60))))))))) % 0.45/0.69 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t56)))) % 0.45/0.69 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.45/0.69 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t63) (or @t61 (and @t62 (tptp.strictorderedP @t1) (tptp.lt @t2 @t60))))))))) % 0.45/0.69 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t56)))) % 0.45/0.69 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.45/0.69 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t56)))) % 0.45/0.69 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.45/0.69 (assume @p75 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t6 (= @t42 @t1))))))) % 0.45/0.69 (assume @p76 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t21 (= @t44 @t1))))))) % 0.45/0.69 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t62 @t43 (= @t60 @t42) (= (tptp.tl @t1) @t44)) @t39)))))) % 0.45/0.69 (assume @p78 (forall @t9 (=> @t17 (=> @t43 (= (tptp.cons @t42 @t44) @t2))))) % 0.45/0.69 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t45) @t64)))))))) % 0.45/0.69 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t46) @t64)))))))) % 0.45/0.69 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t38 (tptp.app @t18 @t2))))))) % 0.45/0.69 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t45 @t12) (tptp.app @t2 @t19))))))))) % 0.45/0.69 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t45) (and @t61 @t41))))))) % 0.45/0.69 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.45/0.69 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.hd @t45) @t42))))))) % 0.45/0.69 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.tl @t45) (tptp.app @t44 @t1)))))))) % 0.45/0.69 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t49 (tptp.geq @t1 @t2)) @t3)))))) % 0.45/0.69 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t49 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.45/0.69 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.45/0.69 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.45/0.69 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t35) @t52)))))))) % 0.45/0.69 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t48 (or @t3 @t51))))))) % 0.45/0.69 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t51 (and @t4 @t48))))))) % 0.45/0.69 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t53 (not (tptp.gt @t1 @t2)))))))) % 0.45/0.69 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.45/0.69 (assume @p96 @t94) % 0.45/0.69 (assume @p97 true) % 0.45/0.69 (step @p98 :rule refl :args (@t95)) % 0.45/0.69 (step @p99 :rule eq-symm :args (@t96 tptp.nil)) % 0.45/0.69 (step @p100 :rule cong :premises (@p99) :args (@t97)) % 0.45/0.69 (step @p101 :rule nary_cong :premises (@p100 @p98) :args (@t98)) % 0.45/0.69 (step @p102 :rule refl :args (@t101)) % 0.45/0.69 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t102)) % 0.45/0.69 (step @p104 :rule refl :args (@t103)) % 0.45/0.69 (step @p105 :rule refl :args (@t36)) % 0.45/0.69 (step @p106 :rule refl :args (@t104)) % 0.45/0.69 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p103) :args (@t105)) % 0.45/0.69 (step @p108 :rule aci_norm :args ((= @t107 @t105))) % 0.45/0.69 (step @p109 :rule trans :premises (@p108 @p107)) % 0.45/0.69 (step @p110 :rule cong :premises (@p109) :args (@t109)) % 0.45/0.69 (step @p111 :rule quant-merge-prenex :args ((= (forall @t9 @t111) @t109))) % 0.45/0.69 (step @p112 :rule alpha_equiv :args (@t112 (@list @t96 @t99) (@list @t1 @t113))) % 0.45/0.69 (step @p113 :rule refl :args (@t36)) % 0.45/0.69 (step @p114 :rule refl :args (@t104)) % 0.45/0.69 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112) :args (@t114)) % 0.45/0.69 (step @p116 :rule quant-miniscope-or :args ((= @t111 @t114))) % 0.45/0.69 (step @p117 :rule trans :premises (@p116 @p115)) % 0.45/0.69 (step @p118 :rule symm :premises (@p117)) % 0.45/0.69 (step @p119 :rule cong :premises (@p118) :args ((forall @t9 @t123))) % 0.45/0.69 (step @p120 :rule trans :premises (@p119 @p111)) % 0.45/0.69 (step @p121 :rule trans :premises (@p120 @p110)) % 0.45/0.69 (step @p122 :rule aci_norm :args ((= (or @t104 @t124) @t123))) % 0.45/0.69 (step @p123 :rule 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@p357 :rule nary_cong :premises (@p356 @p355) :args (@t265)) % 0.45/0.70 (step @p358 :rule refl :args (@t257)) % 0.45/0.70 (step @p359 :rule refl :args (@t258)) % 0.45/0.70 (step @p360 :rule refl :args (@t259)) % 0.45/0.70 (step @p361 :rule nary_cong :premises (@p360 @p359 @p358 @p357) :args (@t266)) % 0.45/0.70 (step @p362 :rule cong :premises (@p361) :args (@t267)) % 0.45/0.70 (step @p363 :rule refl :args (@t262)) % 0.45/0.70 (step @p364 :rule cong :premises (@p363 @p362) :args ((=> @t262 @t267))) % 0.45/0.70 (assume-push @p456 @t262) % 0.45/0.70 (step @p366 :rule skolemize :premises (@p348)) % 0.45/0.70 (step-pop @p457 :rule scope :premises (@p366)) % 0.45/0.70 (step @p367 :rule process_scope :premises (@p457) :args (@t267)) % 0.45/0.70 (step @p369 :rule eq_resolve :premises (@p367 @p364)) % 0.45/0.70 (step @p370 :rule implies_elim :premises (@p369)) % 0.45/0.70 (step @p371 :rule eq_resolve :premises (@p370 @p351)) % 0.45/0.70 (step @p372 :rule chain_m_resolution :premises (@p371 @p348) :args (@t261 @t268 (@list @t242))) % 0.45/0.70 (step @p373 :rule cnf_or_neg :args (@t260 1)) % 0.45/0.70 (step @p374 :rule chain_m_resolution :premises (@p373 @p372) :args (@t269 @t268 @t270)) % 0.45/0.70 (step @p375 :rule bool-double-not-elim :args (@t258)) % 0.45/0.70 (step @p376 :rule refl :args (@t245)) % 0.45/0.70 (step @p377 :rule refl :args (@t271)) % 0.45/0.70 (step @p378 :rule nary_cong :premises (@p377 @p376 @p375) :args ((or @t271 @t245 @t272))) % 0.45/0.70 (assume-push @p458 @t59) % 0.45/0.70 (assume-push @p459 @t244) % 0.45/0.70 (assume-push @p460 @t269) % 0.45/0.70 (step @p382 :rule evaluate :args (@t273)) % 0.45/0.70 (step @p383 :rule true_intro :premises (@p66)) % 0.45/0.70 (step @p384 :rule symm :premises (@p459)) % 0.45/0.70 (step @p385 :rule cong :premises (@p384) :args (@t258)) % 0.45/0.70 (step @p386 :rule false_intro :premises (@p374)) % 0.45/0.70 (step @p387 :rule symm :premises (@p386)) % 0.45/0.70 (step @p388 :rule trans :premises (@p387 @p385 @p383)) % 0.45/0.70 (step @p389 false :rule eq_resolve :premises (@p388 @p382)) % 0.45/0.70 (step-pop @p461 :rule scope :premises (@p389)) % 0.45/0.70 (step-pop @p462 :rule scope :premises (@p461)) % 0.45/0.70 (step-pop @p463 :rule scope :premises (@p462)) % 0.45/0.70 (step @p390 :rule process_scope :premises (@p463) :args (false)) % 0.45/0.70 (step @p394 :rule not_and :premises (@p390)) % 0.45/0.70 (step @p395 :rule eq_resolve :premises (@p394 @p378)) % 0.45/0.70 (step @p396 :rule reordering :premises (@p395) :args ((or @t271 @t258 @t245))) % 0.45/0.70 (step @p397 :rule chain_m_resolution :premises (@p396 @p66 @p374) :args (@t245 (@list false true) (@list @t59 @t258))) % 0.45/0.70 (step @p398 :rule bool-double-not-elim :args (@t244)) % 0.45/0.70 (step @p399 :rule refl :args (@t248)) % 0.45/0.70 (step @p400 :rule nary_cong :premises (@p399 @p398) :args ((or @t248 (not @t245)))) % 0.45/0.70 (step @p401 :rule cnf_or_neg :args (@t248 1)) % 0.45/0.70 (step @p402 :rule eq_resolve :premises (@p401 @p400)) % 0.45/0.70 (step @p403 :rule reordering :premises (@p402) :args ((or @t244 @t248))) % 0.45/0.70 (step @p404 :rule chain_m_resolution :premises (@p403 @p397) :args (@t248 @t268 (@list @t244))) % 0.45/0.70 (step @p405 :rule cnf_or_neg :args (@t260 3)) % 0.45/0.70 (step @p406 :rule chain_m_resolution :premises (@p405 @p372) :args ((not @t256) @t268 @t270)) % 0.45/0.70 (step @p407 :rule cnf_and_neg :args (@t256)) % 0.45/0.70 (step @p408 :rule chain_m_resolution :premises (@p407 @p406 @p404) :args ((not @t255) (@list true false) (@list @t256 @t248))) % 0.45/0.70 (step @p409 :rule bool-double-not-elim :args (@t251)) % 0.45/0.70 (step @p410 :rule nary_cong :premises (@p356 @p409) :args ((or @t255 (not @t252)))) % 0.45/0.70 (step @p411 :rule cnf_or_neg :args (@t255 1)) % 0.45/0.70 (step @p412 :rule eq_resolve :premises (@p411 @p410)) % 0.45/0.70 (step @p413 :rule reordering :premises (@p412) :args ((or @t251 @t255))) % 0.45/0.70 (step @p414 :rule chain_m_resolution :premises (@p413 @p408) :args (@t251 @t268 @t274)) % 0.45/0.70 (step @p415 :rule bool-impl-elim :args (@t8 @t57)) % 0.45/0.70 (step @p416 :rule cong :premises (@p415) :args (@t58)) % 0.45/0.70 (step @p417 :rule eq_resolve :premises (@p65 @p416)) % 0.45/0.70 (step @p418 :rule instantiate :premises (@p417) :args ((@list @t249))) % 0.45/0.70 (step @p419 :rule bool-double-not-elim :args (@t253)) % 0.45/0.70 (step @p420 :rule nary_cong :premises (@p356 @p419) :args ((or @t255 (not @t254)))) % 0.45/0.70 (step @p421 :rule cnf_or_neg :args (@t255 0)) % 0.45/0.70 (step @p422 :rule eq_resolve :premises (@p421 @p420)) % 0.45/0.70 (step @p423 :rule reordering :premises (@p422) :args ((or @t253 @t255))) % 0.45/0.70 (step @p424 :rule chain_m_resolution :premises (@p423 @p408) :args (@t253 @t268 @t274)) % 0.45/0.70 (step @p425 :rule cnf_or_pos :args (@t276)) % 0.45/0.70 (step @p426 :rule reordering :premises (@p425) :args ((or @t254 @t275 (not @t276)))) % 0.45/0.70 (step @p427 :rule chain_m_resolution :premises (@p426 @p424 @p418) :args (@t275 (@list false false) (@list @t253 @t276))) % 0.45/0.70 (step @p428 :rule refl :args (@t277)) % 0.45/0.70 (step @p429 :rule refl :args (@t252)) % 0.45/0.70 (step @p430 :rule nary_cong :premises (@p429 @p375 @p428) :args ((or @t252 @t272 @t277))) % 0.45/0.70 (assume-push @p464 @t275) % 0.45/0.70 (assume-push @p465 @t251) % 0.45/0.70 (assume-push @p466 @t269) % 0.45/0.70 (step @p382 :rule evaluate :args (@t273)) % 0.45/0.70 (step @p434 :rule true_intro :premises (@p464)) % 0.45/0.70 (step @p435 :rule cong :premises (@p465) :args (@t258)) % 0.45/0.70 (step @p386 :rule false_intro :premises (@p374)) % 0.45/0.70 (step @p387 :rule symm :premises (@p386)) % 0.45/0.70 (step @p436 :rule trans :premises (@p387 @p435 @p434)) % 0.45/0.70 (step @p437 false :rule eq_resolve :premises (@p436 @p382)) % 0.45/0.70 (step-pop @p467 :rule scope :premises (@p437)) % 0.45/0.70 (step-pop @p468 :rule scope :premises (@p467)) % 0.45/0.70 (step-pop @p469 :rule scope :premises (@p468)) % 0.45/0.70 (step @p438 :rule process_scope :premises (@p469) :args (false)) % 0.45/0.70 (assume-push @p470 @t251) % 0.45/0.70 (assume-push @p471 @t269) % 0.45/0.70 (assume-push @p472 @t275) % 0.45/0.70 (step @p445 :rule and_intro :premises (@p472 @p470 @p374)) % 0.45/0.70 (step-pop @p473 :rule scope :premises (@p445)) % 0.45/0.70 (step-pop @p474 :rule scope :premises (@p473)) % 0.45/0.70 (step-pop @p475 :rule scope :premises (@p474)) % 0.45/0.70 (step @p446 :rule process_scope :premises (@p475) :args (@t278)) % 0.45/0.70 (step @p450 :rule implies_elim :premises (@p446)) % 0.45/0.70 (step @p451 :rule resolution :premises (@p450 @p438) :args (true @t278)) % 0.45/0.70 (step @p452 :rule not_and :premises (@p451)) % 0.45/0.70 (step @p453 :rule eq_resolve :premises (@p452 @p430)) % 0.45/0.70 (step @p454 :rule reordering :premises (@p453) :args ((or @t258 @t252 @t277))) % 0.45/0.70 (step @p455 false :rule chain_m_resolution :premises (@p454 @p427 @p414 @p374) :args (false (@list false false true) (@list @t275 @t251 @t258))) % 0.45/0.70 ) % 0.45/0.70 % SZS output end Proof % 0.45/0.70 % cvc5 exiting %------------------------------------------------------------------------------