%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC323+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 : n003.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 08:58:52 AM UTC 2026 % Result : Theorem 0.37s 0.97s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC323+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 % 0.18/0.35 % Computer : n003.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:40:59 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.97 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.97 % SZS status Theorem % 0.37/0.97 % SZS output start Proof % 0.37/0.97 ( % 0.37/0.97 (declare-sort $$unsorted 0) % 0.37/0.97 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.97 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.97 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.97 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.97 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.97 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.97 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.97 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.97 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.97 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.97 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.97 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.97 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.97 (declare-const tptp.nil $$unsorted) % 0.37/0.97 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.97 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.97 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.97 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.97 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.97 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.97 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.97 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.97 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.97 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.97 (define @t1 () (@var "V" $$unsorted)) % 0.37/0.97 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.97 (define @t3 () (= @t2 @t1)) % 0.37/0.97 (define @t4 () (not @t3)) % 0.37/0.97 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.37/0.97 (define @t6 () (tptp.ssItem @t1)) % 0.37/0.97 (define @t7 () (@list @t1)) % 0.37/0.97 (define @t8 () (tptp.ssItem @t2)) % 0.37/0.97 (define @t9 () (@list @t2)) % 0.37/0.97 (define @t10 () (@var "X" $$unsorted)) % 0.37/0.97 (define @t11 () (tptp.cons @t1 @t10)) % 0.37/0.97 (define @t12 () (@var "W" $$unsorted)) % 0.37/0.97 (define @t13 () (tptp.ssList @t10)) % 0.37/0.97 (define @t14 () (@list @t10)) % 0.37/0.97 (define @t15 () (tptp.ssList @t12)) % 0.37/0.97 (define @t16 () (@list @t12)) % 0.37/0.97 (define @t17 () (tptp.ssList @t2)) % 0.37/0.97 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.37/0.97 (define @t19 () (tptp.app @t1 @t12)) % 0.37/0.97 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.37/0.97 (define @t21 () (tptp.ssList @t1)) % 0.37/0.97 (define @t22 () (tptp.app @t12 @t1)) % 0.37/0.97 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.37/0.97 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.37/0.97 (define @t25 () (tptp.leq @t12 @t1)) % 0.37/0.97 (define @t26 () (tptp.leq @t1 @t12)) % 0.37/0.97 (define @t27 () (@var "Z" $$unsorted)) % 0.37/0.97 (define @t28 () (@var "Y" $$unsorted)) % 0.37/0.97 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.37/0.97 (define @t30 () (tptp.ssList @t27)) % 0.37/0.97 (define @t31 () (@list @t27)) % 0.37/0.97 (define @t32 () (tptp.ssList @t28)) % 0.37/0.97 (define @t33 () (@list @t28)) % 0.37/0.97 (define @t34 () (tptp.ssItem @t12)) % 0.37/0.97 (define @t35 () (tptp.lt @t1 @t12)) % 0.37/0.97 (define @t36 () (= @t1 @t12)) % 0.37/0.97 (define @t37 () (forall @t7 (=> @t21 @t5))) % 0.37/0.97 (define @t38 () (=> @t17 @t37)) % 0.37/0.97 (define @t39 () (forall @t9 @t38)) % 0.37/0.97 (define @t40 () (tptp.cons @t1 @t2)) % 0.37/0.97 (define @t41 () (tptp.ssList @t40)) % 0.37/0.97 (define @t42 () (forall @t7 (=> @t6 @t41))) % 0.37/0.97 (define @t43 () (=> @t17 @t42)) % 0.37/0.97 (define @t44 () (forall @t9 @t43)) % 0.37/0.97 (define @t45 () (tptp.ssList tptp.nil)) % 0.37/0.97 (define @t46 () (= @t1 @t2)) % 0.37/0.97 (define @t47 () (tptp.cons @t12 @t1)) % 0.37/0.97 (define @t48 () (= tptp.nil @t2)) % 0.37/0.97 (define @t49 () (tptp.hd @t2)) % 0.37/0.97 (define @t50 () (not @t48)) % 0.37/0.97 (define @t51 () (tptp.tl @t2)) % 0.37/0.97 (define @t52 () (tptp.app @t2 @t1)) % 0.37/0.97 (define @t53 () (tptp.app @t1 @t2)) % 0.37/0.97 (define @t54 () (tptp.app tptp.nil @t2)) % 0.37/0.97 (define @t55 () (=> @t17 (= @t54 @t2))) % 0.37/0.97 (define @t56 () (forall @t9 @t55)) % 0.37/0.97 (define @t57 () (tptp.leq @t1 @t2)) % 0.37/0.97 (define @t58 () (tptp.leq @t2 @t1)) % 0.37/0.97 (define @t59 () (tptp.geq @t2 @t1)) % 0.37/0.97 (define @t60 () (tptp.lt @t1 @t2)) % 0.37/0.97 (define @t61 () (tptp.lt @t2 @t1)) % 0.37/0.97 (define @t62 () (tptp.lt @t2 @t12)) % 0.37/0.97 (define @t63 () (tptp.gt @t2 @t1)) % 0.37/0.97 (define @t64 () (tptp.memberP @t12 @t2)) % 0.37/0.97 (define @t65 () (tptp.app @t12 @t2)) % 0.37/0.97 (define @t66 () (tptp.cons @t2 tptp.nil)) % 0.37/0.97 (define @t67 () (tptp.hd @t1)) % 0.37/0.97 (define @t68 () (= tptp.nil @t1)) % 0.37/0.97 (define @t69 () (not @t68)) % 0.37/0.97 (define @t70 () (tptp.cons @t2 @t1)) % 0.37/0.97 (define @t71 () (= @t12 @t2)) % 0.37/0.97 (define @t72 () (tptp.app @t2 tptp.nil)) % 0.37/0.97 (define @t73 () (=> @t17 (= @t72 @t2))) % 0.37/0.97 (define @t74 () (forall @t9 @t73)) % 0.37/0.97 (define @t75 () (tptp.neq @t10 tptp.nil)) % 0.37/0.97 (define @t76 () (@var "X1" $$unsorted)) % 0.37/0.97 (define @t77 () (tptp.cons @t76 tptp.nil)) % 0.37/0.97 (define @t78 () (@var "X2" $$unsorted)) % 0.37/0.97 (define @t79 () (tptp.app @t78 @t77)) % 0.37/0.97 (define @t80 () (not (= @t79 @t12))) % 0.37/0.97 (define @t81 () (tptp.app @t77 @t78)) % 0.37/0.97 (define @t82 () (not (= @t81 @t10))) % 0.37/0.97 (define @t83 () (or @t82 @t80)) % 0.37/0.97 (define @t84 () (tptp.ssList @t78)) % 0.37/0.97 (define @t85 () (=> @t84 @t83)) % 0.37/0.97 (define @t86 () (@list @t78)) % 0.37/0.97 (define @t87 () (forall @t86 @t85)) % 0.37/0.97 (define @t88 () (tptp.ssItem @t76)) % 0.37/0.97 (define @t89 () (=> @t88 @t87)) % 0.37/0.97 (define @t90 () (@list @t76)) % 0.37/0.97 (define @t91 () (forall @t90 @t89)) % 0.37/0.97 (define @t92 () (and @t91 @t75)) % 0.37/0.97 (define @t93 () (not (= tptp.nil @t12))) % 0.37/0.97 (define @t94 () (and @t93 (= tptp.nil @t10))) % 0.37/0.97 (define @t95 () (tptp.app @t27 @t28)) % 0.37/0.97 (define @t96 () (tptp.app @t28 @t27)) % 0.37/0.97 (define @t97 () (and @t30 (= @t96 @t1) (= @t95 @t2))) % 0.37/0.97 (define @t98 () (exists @t31 @t97)) % 0.37/0.97 (define @t99 () (and @t32 @t98)) % 0.37/0.97 (define @t100 () (exists @t33 @t99)) % 0.37/0.97 (define @t101 () (not (= @t2 @t12))) % 0.37/0.97 (define @t102 () (not (= @t1 @t10))) % 0.37/0.97 (define @t103 () (or @t102 @t101 @t100 @t94 @t92)) % 0.37/0.97 (define @t104 () (=> @t13 @t103)) % 0.37/0.97 (define @t105 () (forall @t14 @t104)) % 0.37/0.97 (define @t106 () (=> @t15 @t105)) % 0.37/0.97 (define @t107 () (forall @t16 @t106)) % 0.37/0.97 (define @t108 () (=> @t21 @t107)) % 0.37/0.97 (define @t109 () (forall @t7 @t108)) % 0.37/0.97 (define @t110 () (=> @t17 @t109)) % 0.37/0.97 (define @t111 () (forall @t9 @t110)) % 0.37/0.97 (define @t112 () (not @t111)) % 0.37/0.97 (define @t113 () (@var "BOUND_VARIABLE_11181" $$unsorted)) % 0.37/0.97 (define @t114 () (@var "BOUND_VARIABLE_11183" $$unsorted)) % 0.37/0.97 (define @t115 () (tptp.cons @t114 tptp.nil)) % 0.37/0.97 (define @t116 () (@var "BOUND_VARIABLE_11185" $$unsorted)) % 0.37/0.97 (define @t117 () (and (or (not (tptp.ssItem @t114)) (not (tptp.ssList @t116)) (not (= @t113 (tptp.app @t115 @t116))) (not (= @t2 (tptp.app @t116 @t115)))) (tptp.neq @t113 tptp.nil))) % 0.37/0.97 (define @t118 () (not (= @t2 tptp.nil))) % 0.37/0.97 (define @t119 () (and @t118 (= @t113 tptp.nil))) % 0.37/0.97 (define @t120 () (@var "BOUND_VARIABLE_10961" $$unsorted)) % 0.37/0.97 (define @t121 () (tptp.app @t120 @t28)) % 0.37/0.97 (define @t122 () (not (= @t2 @t121))) % 0.37/0.97 (define @t123 () (tptp.app @t28 @t120)) % 0.37/0.97 (define @t124 () (not (= @t113 @t123))) % 0.37/0.97 (define @t125 () (not (tptp.ssList @t120))) % 0.37/0.97 (define @t126 () (not @t32)) % 0.37/0.97 (define @t127 () (or @t126 @t125 @t124 @t122)) % 0.37/0.97 (define @t128 () (@list @t28 @t120)) % 0.37/0.97 (define @t129 () (forall @t128 @t127)) % 0.37/0.97 (define @t130 () (not @t129)) % 0.37/0.97 (define @t131 () (not (tptp.ssList @t113))) % 0.37/0.97 (define @t132 () (not @t17)) % 0.37/0.97 (define @t133 () (or @t132 @t131 @t130 @t119 @t117)) % 0.37/0.97 (define @t134 () (or @t131 @t130 @t119 @t117)) % 0.37/0.97 (define @t135 () (or @t132 @t134)) % 0.37/0.97 (define @t136 () (@list @t2 @t113 @t114 @t116)) % 0.37/0.97 (define @t137 () (forall @t136 @t135)) % 0.37/0.97 (define @t138 () (@list @t113 @t114 @t116)) % 0.37/0.97 (define @t139 () (forall @t138 @t135)) % 0.37/0.97 (define @t140 () (forall @t138 @t134)) % 0.37/0.97 (define @t141 () (@var "BOUND_VARIABLE_11159" $$unsorted)) % 0.37/0.97 (define @t142 () (@var "BOUND_VARIABLE_11157" $$unsorted)) % 0.37/0.97 (define @t143 () (or @t132 @t140)) % 0.37/0.97 (define @t144 () (tptp.neq @t1 tptp.nil)) % 0.37/0.97 (define @t145 () (tptp.cons @t142 tptp.nil)) % 0.37/0.97 (define @t146 () (or (not (tptp.ssItem @t142)) (not (tptp.ssList @t141)) (not (= @t1 (tptp.app @t145 @t141))) (not (= @t2 (tptp.app @t141 @t145))))) % 0.37/0.97 (define @t147 () (and @t146 @t144)) % 0.37/0.97 (define @t148 () (= @t1 tptp.nil)) % 0.37/0.97 (define @t149 () (and @t118 @t148)) % 0.37/0.97 (define @t150 () (not (= @t1 @t123))) % 0.37/0.97 (define @t151 () (or @t126 @t125 @t150 @t122)) % 0.37/0.97 (define @t152 () (not (forall @t128 @t151))) % 0.37/0.97 (define @t153 () (not @t21)) % 0.37/0.97 (define @t154 () (or @t153 @t152 @t149 @t147)) % 0.37/0.97 (define @t155 () (forall (@list @t1 @t142 @t141) @t154)) % 0.37/0.97 (define @t156 () (or @t132 @t155)) % 0.37/0.97 (define @t157 () (@list @t142 @t141)) % 0.37/0.97 (define @t158 () (forall @t157 @t154)) % 0.37/0.97 (define @t159 () (forall @t157 @t144)) % 0.37/0.97 (define @t160 () (forall @t157 @t146)) % 0.37/0.97 (define @t161 () (@var "BOUND_VARIABLE_11126" $$unsorted)) % 0.37/0.97 (define @t162 () (@var "BOUND_VARIABLE_11124" $$unsorted)) % 0.37/0.97 (define @t163 () (@list @t162 @t161)) % 0.37/0.97 (define @t164 () (and @t160 @t159)) % 0.37/0.97 (define @t165 () (forall @t157 @t147)) % 0.37/0.97 (define @t166 () (or @t153 @t152 @t149 @t165)) % 0.37/0.97 (define @t167 () (tptp.cons @t162 tptp.nil)) % 0.37/0.97 (define @t168 () (and (forall (@list @t162 @t161) (or (not (tptp.ssItem @t162)) (not (tptp.ssList @t161)) (not (= @t1 (tptp.app @t167 @t161))) (not (= @t2 (tptp.app @t161 @t167))))) @t144)) % 0.37/0.97 (define @t169 () (or @t153 @t152 @t149 @t168)) % 0.37/0.97 (define @t170 () (forall @t7 @t169)) % 0.37/0.97 (define @t171 () (or @t132 @t170)) % 0.37/0.97 (define @t172 () (or @t132 @t169)) % 0.37/0.97 (define @t173 () (or @t153 @t152 @t132 @t149 @t168)) % 0.37/0.97 (define @t174 () (or @t152 @t153 @t132 @t149 @t168)) % 0.37/0.97 (define @t175 () (@var "BOUND_VARIABLE_11091" $$unsorted)) % 0.37/0.97 (define @t176 () (@var "BOUND_VARIABLE_11089" $$unsorted)) % 0.37/0.97 (define @t177 () (@list @t176 @t175)) % 0.37/0.97 (define @t178 () (forall @t177 @t144)) % 0.37/0.97 (define @t179 () (tptp.cons @t176 tptp.nil)) % 0.37/0.97 (define @t180 () (tptp.app @t175 @t179)) % 0.37/0.97 (define @t181 () (not (= @t1 (tptp.app @t179 @t175)))) % 0.37/0.97 (define @t182 () (not (tptp.ssList @t175))) % 0.37/0.97 (define @t183 () (not (tptp.ssItem @t176))) % 0.37/0.97 (define @t184 () (or @t183 @t182 @t181 (not (= @t2 @t180)))) % 0.37/0.97 (define @t185 () (forall @t177 @t184)) % 0.37/0.97 (define @t186 () (@list @t176 @t175)) % 0.37/0.97 (define @t187 () (and @t185 @t178)) % 0.37/0.97 (define @t188 () (and @t184 @t144)) % 0.37/0.97 (define @t189 () (forall @t177 @t188)) % 0.37/0.97 (define @t190 () (or @t132 @t149 @t189)) % 0.37/0.97 (define @t191 () (or @t132 @t149 @t188)) % 0.37/0.97 (define @t192 () (not (= @t2 @t2))) % 0.37/0.97 (define @t193 () (or @t132 @t192 @t149 @t188)) % 0.37/0.97 (define @t194 () (or @t183 @t182 @t181 (not (= @t12 @t180)))) % 0.37/0.97 (define @t195 () (and @t194 @t144)) % 0.37/0.97 (define @t196 () (not (= @t12 tptp.nil))) % 0.37/0.97 (define @t197 () (and @t196 @t148)) % 0.37/0.97 (define @t198 () (not @t15)) % 0.37/0.97 (define @t199 () (or @t101 @t198 @t101 @t197 @t195)) % 0.37/0.97 (define @t200 () (or @t198 @t101 @t197 @t195)) % 0.37/0.97 (define @t201 () (forall @t16 @t200)) % 0.37/0.97 (define @t202 () (forall @t177 @t201)) % 0.37/0.97 (define @t203 () (forall (@list @t176 @t175 @t12) @t200)) % 0.37/0.97 (define @t204 () (forall (@list @t12 @t176 @t175) @t200)) % 0.37/0.97 (define @t205 () (forall @t177 @t200)) % 0.37/0.97 (define @t206 () (forall @t177 @t194)) % 0.37/0.97 (define @t207 () (@var "BOUND_VARIABLE_11058" $$unsorted)) % 0.37/0.97 (define @t208 () (@var "BOUND_VARIABLE_11056" $$unsorted)) % 0.37/0.97 (define @t209 () (@list @t208 @t207)) % 0.37/0.97 (define @t210 () (and @t206 @t178)) % 0.37/0.97 (define @t211 () (forall @t177 @t195)) % 0.37/0.97 (define @t212 () (or @t198 @t101 @t197 @t211)) % 0.37/0.97 (define @t213 () (tptp.cons @t208 tptp.nil)) % 0.37/0.97 (define @t214 () (and (forall (@list @t208 @t207) (or (not (tptp.ssItem @t208)) (not (tptp.ssList @t207)) (not (= @t1 (tptp.app @t213 @t207))) (not (= @t12 (tptp.app @t207 @t213))))) @t144)) % 0.37/0.97 (define @t215 () (or @t198 @t101 @t197 @t214)) % 0.37/0.97 (define @t216 () (forall @t16 @t215)) % 0.37/0.97 (define @t217 () (or @t152 @t153 @t216)) % 0.37/0.97 (define @t218 () (or @t152 @t153 @t215)) % 0.37/0.97 (define @t219 () (or @t198 @t101 @t152 @t153 @t197 @t214)) % 0.37/0.97 (define @t220 () (or @t101 @t152 @t153 @t197 @t214)) % 0.37/0.97 (define @t221 () (@var "BOUND_VARIABLE_11024" $$unsorted)) % 0.37/0.97 (define @t222 () (@var "BOUND_VARIABLE_11022" $$unsorted)) % 0.37/0.97 (define @t223 () (@list @t222 @t221)) % 0.37/0.97 (define @t224 () (forall @t223 @t144)) % 0.37/0.97 (define @t225 () (tptp.cons @t222 tptp.nil)) % 0.37/0.97 (define @t226 () (not (= @t12 (tptp.app @t221 @t225)))) % 0.37/0.97 (define @t227 () (tptp.app @t225 @t221)) % 0.37/0.97 (define @t228 () (not (tptp.ssList @t221))) % 0.37/0.97 (define @t229 () (not (tptp.ssItem @t222))) % 0.37/0.97 (define @t230 () (or @t229 @t228 (not (= @t1 @t227)) @t226)) % 0.37/0.97 (define @t231 () (forall @t223 @t230)) % 0.37/0.97 (define @t232 () (@list @t222 @t221)) % 0.37/0.97 (define @t233 () (and @t231 @t224)) % 0.37/0.97 (define @t234 () (and @t230 @t144)) % 0.37/0.97 (define @t235 () (forall @t223 @t234)) % 0.37/0.97 (define @t236 () (or @t153 @t197 @t235)) % 0.37/0.97 (define @t237 () (or @t153 @t197 @t234)) % 0.37/0.97 (define @t238 () (not (= @t1 @t1))) % 0.37/0.97 (define @t239 () (or @t153 @t238 @t197 @t234)) % 0.37/0.97 (define @t240 () (or @t229 @t228 (not (= @t10 @t227)) @t226)) % 0.37/0.97 (define @t241 () (and @t240 @t75)) % 0.37/0.97 (define @t242 () (and @t196 (= @t10 tptp.nil))) % 0.37/0.97 (define @t243 () (not @t13)) % 0.37/0.97 (define @t244 () (or @t102 @t243 @t102 @t242 @t241)) % 0.37/0.97 (define @t245 () (or @t243 @t102 @t242 @t241)) % 0.37/0.97 (define @t246 () (forall @t14 @t245)) % 0.37/0.97 (define @t247 () (forall @t223 @t246)) % 0.37/0.97 (define @t248 () (forall (@list @t222 @t221 @t10) @t245)) % 0.37/0.97 (define @t249 () (forall (@list @t10 @t222 @t221) @t245)) % 0.37/0.97 (define @t250 () (forall @t223 @t245)) % 0.37/0.97 (define @t251 () (forall @t223 @t75)) % 0.37/0.97 (define @t252 () (forall @t223 @t240)) % 0.37/0.97 (define @t253 () (@var "BOUND_VARIABLE_10997" $$unsorted)) % 0.37/0.97 (define @t254 () (and @t252 @t251)) % 0.37/0.97 (define @t255 () (forall @t223 @t241)) % 0.37/0.97 (define @t256 () (or @t243 @t102 @t242 @t255)) % 0.37/0.97 (define @t257 () (not (= @t12 (tptp.app @t253 @t77)))) % 0.37/0.97 (define @t258 () (not (= @t10 (tptp.app @t77 @t253)))) % 0.37/0.97 (define @t259 () (not (tptp.ssList @t253))) % 0.37/0.97 (define @t260 () (not @t88)) % 0.37/0.97 (define @t261 () (or @t260 @t259 @t258 @t257)) % 0.37/0.97 (define @t262 () (@list @t76 @t253)) % 0.37/0.97 (define @t263 () (and (forall @t262 @t261) @t75)) % 0.37/0.97 (define @t264 () (or @t243 @t102 @t242 @t263)) % 0.37/0.97 (define @t265 () (forall @t14 @t264)) % 0.37/0.97 (define @t266 () (or @t101 @t152 @t265)) % 0.37/0.97 (define @t267 () (or @t101 @t152 @t264)) % 0.37/0.97 (define @t268 () (or @t243 @t102 @t101 @t152 @t242 @t263)) % 0.37/0.97 (define @t269 () (or @t102 @t101 @t152 @t242 @t263)) % 0.37/0.97 (define @t270 () (or @t259 @t258 @t257)) % 0.37/0.97 (define @t271 () (or @t260 @t270)) % 0.37/0.97 (define @t272 () (forall @t262 @t271)) % 0.37/0.97 (define @t273 () (@list @t253)) % 0.37/0.97 (define @t274 () (forall @t273 @t271)) % 0.37/0.97 (define @t275 () (forall @t273 @t270)) % 0.37/0.97 (define @t276 () (or @t260 @t275)) % 0.37/0.97 (define @t277 () (not (= @t12 @t79))) % 0.37/0.97 (define @t278 () (not (= @t10 @t81))) % 0.37/0.97 (define @t279 () (not @t84)) % 0.37/0.97 (define @t280 () (or @t279 @t278 @t277)) % 0.37/0.97 (define @t281 () (forall @t86 @t280)) % 0.37/0.97 (define @t282 () (or @t278 @t277)) % 0.37/0.97 (define @t283 () (or @t125 @t150 @t122)) % 0.37/0.97 (define @t284 () (or @t126 @t283)) % 0.37/0.97 (define @t285 () (forall @t128 @t284)) % 0.37/0.97 (define @t286 () (@list @t120)) % 0.37/0.97 (define @t287 () (forall @t286 @t284)) % 0.37/0.97 (define @t288 () (forall @t286 @t283)) % 0.37/0.97 (define @t289 () (or @t126 @t288)) % 0.37/0.97 (define @t290 () (= @t2 @t95)) % 0.37/0.97 (define @t291 () (not @t290)) % 0.37/0.97 (define @t292 () (= @t1 @t96)) % 0.37/0.97 (define @t293 () (not @t292)) % 0.37/0.97 (define @t294 () (not @t30)) % 0.37/0.97 (define @t295 () (or @t294 @t293 @t291)) % 0.37/0.97 (define @t296 () (forall @t31 @t295)) % 0.37/0.97 (define @t297 () (not @t296)) % 0.37/0.97 (define @t298 () (and @t32 @t297)) % 0.37/0.97 (define @t299 () (forall @t33 (not @t298))) % 0.37/0.97 (define @t300 () (not @t299)) % 0.37/0.97 (define @t301 () (and @t30 @t292 @t290)) % 0.37/0.97 (define @t302 () (forall @t31 (not @t301))) % 0.37/0.97 (define @t303 () (not @t302)) % 0.37/0.97 (define @t304 () (forall @t136 (or @t132 @t131 (not (forall @t128 (or @t126 @t125 (not (= @t123 @t113)) @t122))) (and @t118 (= tptp.nil @t113)) @t117))) % 0.37/0.97 (define @t305 () (@quantifiers_skolemize @t304 1)) % 0.37/0.97 (define @t306 () (tptp.neq @t305 tptp.nil)) % 0.37/0.97 (define @t307 () (@quantifiers_skolemize @t304 2)) % 0.37/0.97 (define @t308 () (tptp.cons @t307 tptp.nil)) % 0.37/0.97 (define @t309 () (@quantifiers_skolemize @t304 3)) % 0.37/0.97 (define @t310 () (tptp.app @t309 @t308)) % 0.37/0.97 (define @t311 () (@quantifiers_skolemize @t304 0)) % 0.37/0.97 (define @t312 () (= @t311 @t310)) % 0.37/0.97 (define @t313 () (not @t312)) % 0.37/0.97 (define @t314 () (tptp.app @t308 @t309)) % 0.37/0.97 (define @t315 () (= @t305 @t314)) % 0.37/0.97 (define @t316 () (not @t315)) % 0.37/0.97 (define @t317 () (tptp.ssList @t309)) % 0.37/0.97 (define @t318 () (not @t317)) % 0.37/0.97 (define @t319 () (tptp.ssItem @t307)) % 0.37/0.97 (define @t320 () (not @t319)) % 0.37/0.97 (define @t321 () (or @t320 @t318 @t316 @t313)) % 0.37/0.97 (define @t322 () (and @t321 @t306)) % 0.37/0.97 (define @t323 () (= tptp.nil @t305)) % 0.37/0.97 (define @t324 () (= tptp.nil @t311)) % 0.37/0.97 (define @t325 () (not @t324)) % 0.37/0.97 (define @t326 () (and @t325 @t323)) % 0.37/0.97 (define @t327 () (not (= @t123 @t305))) % 0.37/0.97 (define @t328 () (forall @t128 (or @t126 @t125 @t327 (not (= @t121 @t311))))) % 0.37/0.97 (define @t329 () (not @t328)) % 0.37/0.97 (define @t330 () (tptp.ssList @t305)) % 0.37/0.97 (define @t331 () (not @t330)) % 0.37/0.97 (define @t332 () (not (tptp.ssList @t311))) % 0.37/0.97 (define @t333 () (or @t332 @t331 @t329 @t326 @t322)) % 0.37/0.97 (define @t334 () (not @t333)) % 0.37/0.97 (define @t335 () (not @t304)) % 0.37/0.97 (define @t336 () (not (= @t311 tptp.nil))) % 0.37/0.97 (define @t337 () (and @t336 @t323)) % 0.37/0.97 (define @t338 () (not (= @t311 @t121))) % 0.37/0.97 (define @t339 () (or @t126 @t125 @t327 @t338)) % 0.37/0.97 (define @t340 () (forall @t128 @t339)) % 0.37/0.97 (define @t341 () (not @t340)) % 0.37/0.97 (define @t342 () (or @t332 @t331 @t341 @t337 @t322)) % 0.37/0.97 (define @t343 () (not @t342)) % 0.37/0.97 (define @t344 () (@list true)) % 0.37/0.97 (define @t345 () (@list @t333)) % 0.37/0.97 (define @t346 () (tptp.app tptp.nil @t305)) % 0.37/0.97 (define @t347 () (not (= @t346 @t311))) % 0.37/0.97 (define @t348 () (tptp.app @t305 tptp.nil)) % 0.37/0.97 (define @t349 () (not (= @t348 @t305))) % 0.37/0.97 (define @t350 () (not @t45)) % 0.37/0.97 (define @t351 () (or @t331 @t350 @t349 @t347)) % 0.37/0.97 (define @t352 () (@list @t305 tptp.nil)) % 0.37/0.97 (define @t353 () (not (= @t311 @t346))) % 0.37/0.97 (define @t354 () (= @t305 @t348)) % 0.37/0.97 (define @t355 () (not @t354)) % 0.37/0.97 (define @t356 () (or @t331 @t350 @t355 @t353)) % 0.37/0.97 (define @t357 () (@list false)) % 0.37/0.97 (define @t358 () (@list @t328)) % 0.37/0.97 (define @t359 () (= @t2 @t72)) % 0.37/0.97 (define @t360 () (@list @t305)) % 0.37/0.97 (define @t361 () (or @t331 @t354)) % 0.37/0.97 (define @t362 () (@list false false)) % 0.37/0.97 (define @t363 () (= @t2 @t54)) % 0.37/0.97 (define @t364 () (= @t305 @t346)) % 0.37/0.97 (define @t365 () (or @t331 @t364)) % 0.37/0.97 (define @t366 () (@var "BOUND_VARIABLE_9119" $$unsorted)) % 0.37/0.97 (define @t367 () (= (tptp.neq @t2 @t366) (not (= @t2 @t366)))) % 0.37/0.97 (define @t368 () (not (tptp.ssList @t366))) % 0.37/0.97 (define @t369 () (or @t132 @t368 @t367)) % 0.37/0.97 (define @t370 () (or @t368 @t367)) % 0.37/0.97 (define @t371 () (or @t132 @t370)) % 0.37/0.97 (define @t372 () (@list @t2 @t366)) % 0.37/0.97 (define @t373 () (forall @t372 @t371)) % 0.37/0.97 (define @t374 () (@list @t366)) % 0.37/0.97 (define @t375 () (forall @t374 @t371)) % 0.37/0.97 (define @t376 () (forall @t374 @t370)) % 0.37/0.97 (define @t377 () (@list @t1)) % 0.37/0.97 (define @t378 () (or @t132 @t376)) % 0.37/0.97 (define @t379 () (forall @t7 (or @t153 @t5))) % 0.37/0.97 (define @t380 () (not (= @t305 tptp.nil))) % 0.37/0.97 (define @t381 () (= @t306 @t380)) % 0.37/0.97 (define @t382 () (or @t331 @t350 @t381)) % 0.37/0.97 (define @t383 () (forall @t372 @t369)) % 0.37/0.97 (define @t384 () (not @t323)) % 0.37/0.97 (define @t385 () (= @t306 @t384)) % 0.37/0.97 (define @t386 () (or @t331 @t350 @t385)) % 0.37/0.97 (define @t387 () (@var "BOUND_VARIABLE_9140" $$unsorted)) % 0.37/0.97 (define @t388 () (tptp.ssList (tptp.cons @t387 @t2))) % 0.37/0.97 (define @t389 () (not (tptp.ssItem @t387))) % 0.37/0.97 (define @t390 () (or @t389 @t388)) % 0.37/0.97 (define @t391 () (or @t132 @t390)) % 0.37/0.97 (define @t392 () (forall (@list @t2 @t387) @t391)) % 0.37/0.97 (define @t393 () (@list @t387)) % 0.37/0.97 (define @t394 () (forall @t393 @t391)) % 0.37/0.97 (define @t395 () (forall @t393 @t390)) % 0.37/0.97 (define @t396 () (or @t132 @t395)) % 0.37/0.97 (define @t397 () (forall @t7 (or (not @t6) @t41))) % 0.37/0.97 (define @t398 () (tptp.ssList @t308)) % 0.37/0.97 (define @t399 () (or @t350 @t320 @t398)) % 0.37/0.97 (define @t400 () (not (= @t310 @t311))) % 0.37/0.97 (define @t401 () (not (= @t314 @t305))) % 0.37/0.97 (define @t402 () (not @t398)) % 0.37/0.97 (define @t403 () (or @t402 @t318 @t401 @t400)) % 0.37/0.97 (define @t404 () (or @t402 @t318 @t316 @t313)) % 0.37/0.97 (define @t405 () (@list true false)) % 0.37/0.97 (define @t406 () (not @t385)) % 0.37/0.97 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.37/0.97 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.37/0.97 (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))))))))))) % 0.37/0.97 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.37/0.97 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.37/0.97 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.37/0.97 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.37/0.97 (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))))))))))))))))) % 0.37/0.97 (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)))))))))))))))) % 0.37/0.97 (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))))))))))))))))) % 0.37/0.97 (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))))))))))))))) % 0.37/0.97 (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))))))))))))))) % 0.37/0.97 (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)))))))))))))))) % 0.37/0.97 (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))))))))))))) % 0.37/0.97 (assume @p15 @t39) % 0.37/0.97 (assume @p16 @t44) % 0.37/0.97 (assume @p17 @t45) % 0.37/0.97 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 0.37/0.97 (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) @t46))))))))))) % 0.37/0.97 (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t47 @t2))))))))) % 0.37/0.97 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 0.37/0.97 (assume @p22 (forall @t9 (=> @t17 (=> @t50 (tptp.ssItem @t49))))) % 0.37/0.97 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 0.37/0.97 (assume @p24 (forall @t9 (=> @t17 (=> @t50 (tptp.ssList @t51))))) % 0.37/0.97 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 0.37/0.97 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t52)))))) % 0.37/0.97 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t53) (tptp.app @t47 @t2))))))))) % 0.37/0.97 (assume @p28 @t56) % 0.37/0.97 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t58 @t57) @t3)))))) % 0.37/0.97 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t58 @t26) (tptp.leq @t2 @t12))))))))) % 0.37/0.97 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.37/0.97 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t59 @t57)))))) % 0.37/0.97 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t61 (not @t60))))))) % 0.37/0.97 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t61 @t35) @t62)))))))) % 0.37/0.97 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t63 @t60)))))) % 0.37/0.97 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t64))))))))) % 0.37/0.97 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t64))))))))) % 0.37/0.97 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.37/0.97 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.37/0.97 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.37/0.97 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.37/0.97 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.37/0.97 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.37/0.97 (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)))))))))))) % 0.37/0.97 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.37/0.97 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48)))) % 0.37/0.97 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 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:rule cong :premises (@p474) :args ((forall @t9 (or @t132 @t379)))) % 0.37/0.97 (step @p476 :rule trans :premises (@p475 @p469)) % 0.37/0.97 (step @p477 :rule trans :premises (@p476 @p468)) % 0.37/0.97 (step @p478 :rule bool-impl-elim :args (@t17 @t379)) % 0.37/0.97 (step @p479 :rule cong :premises (@p478) :args ((forall @t9 (=> @t17 @t379)))) % 0.37/0.97 (step @p480 :rule trans :premises (@p479 @p477)) % 0.37/0.97 (step @p481 :rule bool-impl-elim :args (@t21 @t5)) % 0.37/0.97 (step @p482 :rule cong :premises (@p481) :args (@t37)) % 0.37/0.97 (step @p483 :rule cong :premises (@p379 @p482) :args (@t38)) % 0.37/0.97 (step @p484 :rule cong :premises (@p483) :args (@t39)) % 0.37/0.97 (step @p485 :rule trans :premises (@p484 @p480)) % 0.37/0.97 (step @p486 :rule eq_resolve :premises (@p15 @p485)) % 0.37/0.97 (step @p487 :rule eq-symm :args (@t305 tptp.nil)) % 0.37/0.97 (step @p488 :rule cong :premises (@p487) :args (@t380)) % 0.37/0.97 (step @p489 :rule refl :args (@t306)) % 0.37/0.97 (step @p490 :rule cong :premises (@p489 @p488) :args (@t381)) % 0.37/0.97 (step @p491 :rule nary_cong :premises (@p399 @p424 @p490) :args (@t382)) % 0.37/0.97 (step @p492 :rule refl :args (@t383)) % 0.37/0.97 (step @p493 :rule cong :premises (@p492 @p491) :args ((=> @t383 @t382))) % 0.37/0.97 (assume-push @p599 @t383) % 0.37/0.97 (step @p495 :rule instantiate :premises (@p486) :args (@t352)) % 0.37/0.97 (step-pop @p600 :rule scope :premises (@p495)) % 0.37/0.97 (step @p496 :rule process_scope :premises (@p600) :args (@t382)) % 0.37/0.97 (step @p498 :rule eq_resolve :premises (@p496 @p493)) % 0.37/0.97 (step @p499 :rule implies_elim :premises (@p498)) % 0.37/0.97 (step @p500 :rule chain_m_resolution :premises (@p499 @p486) :args (@t386 @t357 (@list @t383))) % 0.37/0.97 (step @p501 :rule cnf_or_pos :args (@t386)) % 0.37/0.97 (step @p502 :rule reordering :premises (@p501) :args ((or @t350 @t331 @t385 (not @t386)))) % 0.37/0.97 (step @p503 :rule chain_m_resolution :premises (@p502 @p17 @p448 @p500) :args (@t385 (@list false false false) (@list @t45 @t330 @t386))) % 0.37/0.97 (step @p504 :rule bool-double-not-elim :args (@t319)) % 0.37/0.97 (step @p505 :rule refl :args (@t321)) % 0.37/0.97 (step @p506 :rule nary_cong :premises (@p505 @p504) :args ((or @t321 (not @t320)))) % 0.37/0.97 (step @p507 :rule cnf_or_neg :args (@t321 0)) % 0.37/0.97 (step @p508 :rule eq_resolve :premises (@p507 @p506)) % 0.37/0.97 (step @p509 :rule reordering :premises (@p508) :args ((or @t319 @t321))) % 0.37/0.97 (step @p510 :rule bool-double-not-elim :args (@t317)) % 0.37/0.97 (step @p511 :rule nary_cong :premises (@p505 @p510) :args ((or @t321 (not @t318)))) % 0.37/0.97 (step @p512 :rule cnf_or_neg :args (@t321 1)) % 0.37/0.97 (step @p513 :rule eq_resolve :premises (@p512 @p511)) % 0.37/0.97 (step @p514 :rule reordering :premises (@p513) :args ((or @t317 @t321))) % 0.37/0.97 (step @p515 :rule bool-double-not-elim :args (@t315)) % 0.37/0.97 (step @p516 :rule nary_cong :premises (@p505 @p515) :args ((or @t321 (not @t316)))) % 0.37/0.97 (step @p517 :rule cnf_or_neg :args (@t321 2)) % 0.37/0.97 (step @p518 :rule eq_resolve :premises (@p517 @p516)) % 0.37/0.97 (step @p519 :rule reordering :premises (@p518) :args ((or @t315 @t321))) % 0.37/0.97 (step @p520 :rule bool-double-not-elim :args (@t312)) % 0.37/0.97 (step @p521 :rule nary_cong :premises (@p505 @p520) :args ((or @t321 (not @t313)))) % 0.37/0.97 (step @p522 :rule cnf_or_neg :args (@t321 3)) % 0.37/0.97 (step @p523 :rule eq_resolve :premises (@p522 @p521)) % 0.37/0.97 (step @p524 :rule reordering :premises (@p523) :args ((or @t312 @t321))) % 0.37/0.97 (step @p525 :rule aci_norm :args ((= @t391 (or @t132 @t389 @t388)))) % 0.37/0.97 (step @p526 :rule cong :premises (@p525) :args (@t392)) % 0.37/0.97 (step @p527 :rule quant-merge-prenex :args ((= (forall @t9 @t394) @t392))) % 0.37/0.97 (step @p528 :rule alpha_equiv :args (@t395 (@list @t387) @t377)) % 0.37/0.97 (step @p529 :rule nary_cong :premises (@p119 @p528) :args (@t396)) % 0.37/0.97 (step @p530 :rule quant-miniscope-or :args ((= @t394 @t396))) % 0.37/0.97 (step @p531 :rule trans :premises (@p530 @p529)) % 0.37/0.97 (step @p532 :rule symm :premises (@p531)) % 0.37/0.97 (step @p533 :rule cong :premises (@p532) :args ((forall @t9 (or @t132 @t397)))) % 0.37/0.97 (step @p534 :rule trans :premises (@p533 @p527)) % 0.37/0.97 (step @p535 :rule trans :premises (@p534 @p526)) % 0.37/0.97 (step @p536 :rule bool-impl-elim :args (@t17 @t397)) % 0.37/0.97 (step @p537 :rule cong :premises (@p536) :args ((forall @t9 (=> @t17 @t397)))) % 0.37/0.97 (step @p538 :rule trans :premises (@p537 @p535)) % 0.37/0.97 (step @p539 :rule bool-impl-elim :args (@t6 @t41)) % 0.37/0.98 (step @p540 :rule cong :premises (@p539) :args (@t42)) % 0.37/0.98 (step @p541 :rule cong :premises (@p379 @p540) :args (@t43)) % 0.37/0.98 (step @p542 :rule cong :premises (@p541) :args (@t44)) % 0.37/0.98 (step @p543 :rule trans :premises (@p542 @p538)) % 0.37/0.98 (step @p544 :rule eq_resolve :premises (@p16 @p543)) % 0.37/0.98 (step @p545 :rule instantiate :premises (@p544) :args ((@list tptp.nil @t307))) % 0.37/0.98 (step @p546 :rule cnf_or_pos :args (@t399)) % 0.37/0.98 (step @p547 :rule reordering :premises (@p546) :args ((or @t350 @t320 @t398 (not @t399)))) % 0.37/0.98 (step @p548 :rule eq-symm :args (@t310 @t311)) % 0.37/0.98 (step @p549 :rule cong :premises (@p548) :args (@t400)) % 0.37/0.98 (step @p550 :rule eq-symm :args (@t314 @t305)) % 0.37/0.98 (step @p551 :rule cong :premises (@p550) :args (@t401)) % 0.37/0.98 (step @p552 :rule refl :args (@t318)) % 0.37/0.98 (step @p553 :rule refl :args (@t402)) % 0.37/0.98 (step @p554 :rule nary_cong :premises (@p553 @p552 @p551 @p549) :args (@t403)) % 0.37/0.98 (step @p555 :rule cong :premises (@p426 @p554) :args ((=> @t328 @t403))) % 0.37/0.98 (assume-push @p601 @t328) % 0.37/0.98 (step @p557 :rule instantiate :premises (@p419) :args ((@list @t308 @t309))) % 0.37/0.98 (step-pop @p602 :rule scope :premises (@p557)) % 0.37/0.98 (step @p558 :rule process_scope :premises (@p602) :args (@t403)) % 0.37/0.98 (step @p560 :rule eq_resolve :premises (@p558 @p555)) % 0.37/0.98 (step @p561 :rule implies_elim :premises (@p560)) % 0.37/0.98 (step @p562 :rule chain_m_resolution :premises (@p561 @p419) :args (@t404 @t357 @t358)) % 0.37/0.98 (step @p563 :rule cnf_or_pos :args (@t404)) % 0.37/0.98 (step @p564 :rule reordering :premises (@p563) :args ((or @t318 @t316 @t313 @t402 (not @t404)))) % 0.37/0.98 (step @p565 :rule chain_m_resolution :premises (@p564 @p562 @p547 @p545 @p17 @p524 @p519 @p514 @p509) :args (@t321 (@list false false false false false false false false) (@list @t404 @t398 @t399 @t45 @t312 @t315 @t317 @t319))) % 0.37/0.98 (step @p566 :rule cnf_or_neg :args (@t333 4)) % 0.37/0.98 (step @p567 :rule chain_m_resolution :premises (@p566 @p412) :args ((not @t322) @t344 @t345)) % 0.37/0.98 (step @p568 :rule cnf_and_neg :args (@t322)) % 0.37/0.98 (step @p569 :rule chain_m_resolution :premises (@p568 @p567 @p565) :args ((not @t306) @t405 (@list @t322 @t321))) % 0.37/0.98 (step @p570 :rule bool-double-not-elim :args (@t323)) % 0.37/0.98 (step @p571 :rule refl :args (@t406)) % 0.37/0.98 (step @p572 :rule nary_cong :premises (@p571 @p489 @p570) :args ((or @t406 @t306 (not @t384)))) % 0.37/0.98 (step @p573 :rule cnf_equiv_pos2 :args (@t385)) % 0.37/0.98 (step @p574 :rule eq_resolve :premises (@p573 @p572)) % 0.37/0.98 (step @p575 :rule reordering :premises (@p574) :args ((or @t323 @t306 @t406))) % 0.37/0.98 (step @p576 :rule chain_m_resolution :premises (@p575 @p569 @p503) :args (@t323 @t405 (@list @t306 @t385))) % 0.37/0.98 (step @p577 :rule cnf_or_neg :args (@t333 3)) % 0.37/0.98 (step @p578 :rule chain_m_resolution :premises (@p577 @p412) :args ((not @t326) @t344 @t345)) % 0.37/0.98 (step @p579 :rule refl :args (@t384)) % 0.37/0.98 (step @p580 :rule bool-double-not-elim :args (@t324)) % 0.37/0.98 (step @p581 :rule refl :args (@t326)) % 0.37/0.98 (step @p582 :rule nary_cong :premises (@p581 @p580 @p579) :args ((or @t326 (not @t325) @t384))) % 0.37/0.98 (step @p583 :rule cnf_and_neg :args (@t326)) % 0.37/0.98 (step @p584 :rule eq_resolve :premises (@p583 @p582)) % 0.37/0.98 (step @p585 :rule reordering :premises (@p584) :args ((or @t324 @t326 @t384))) % 0.37/0.98 (step @p586 :rule chain_m_resolution :premises (@p585 @p578 @p576) :args (@t324 @t405 (@list @t326 @t323))) % 0.37/0.98 (step @p587 :rule symm :premises (@p576)) % 0.37/0.98 (step @p588 :rule trans :premises (@p587 @p586)) % 0.37/0.98 (step @p589 :rule symm :premises (@p588)) % 0.37/0.98 (step @p590 :rule trans :premises (@p589 @p466)) % 0.37/0.98 (step @p591 :rule true_intro :premises (@p590)) % 0.37/0.98 (step @p592 :rule symm :premises (@p591)) % 0.37/0.98 (step @p593 :rule trans :premises (@p592 @p455)) % 0.37/0.98 (step @p594 false :rule eq_resolve :premises (@p593 @p98)) % 0.37/0.98 ) % 0.37/0.98 % SZS output end Proof % 0.37/0.98 % cvc5 exiting %------------------------------------------------------------------------------