%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC397+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 : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:59:10 AM UTC 2026 % Result : Theorem 0.39s 0.75s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SWC397+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n015.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 19:46:04 EDT 2026 % 0.19/0.35 % CPUTime : % 0.33/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.75 % SZS status Theorem % 0.39/0.75 % SZS output start Proof % 0.39/0.75 ( % 0.39/0.75 (declare-sort $$unsorted 0) % 0.39/0.75 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.75 (declare-const tptp.nil $$unsorted) % 0.39/0.75 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.39/0.75 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/0.75 (define @t1 () (@var "V" $$unsorted)) % 0.39/0.75 (define @t2 () (@var "U" $$unsorted)) % 0.39/0.75 (define @t3 () (= @t2 @t1)) % 0.39/0.75 (define @t4 () (not @t3)) % 0.39/0.75 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.39/0.75 (define @t6 () (tptp.ssItem @t1)) % 0.39/0.75 (define @t7 () (@list @t1)) % 0.39/0.75 (define @t8 () (tptp.ssItem @t2)) % 0.39/0.75 (define @t9 () (@list @t2)) % 0.39/0.75 (define @t10 () (@var "X" $$unsorted)) % 0.39/0.75 (define @t11 () (tptp.cons @t1 @t10)) % 0.39/0.75 (define @t12 () (@var "W" $$unsorted)) % 0.39/0.75 (define @t13 () (tptp.ssList @t10)) % 0.39/0.75 (define @t14 () (@list @t10)) % 0.39/0.75 (define @t15 () (tptp.ssList @t12)) % 0.39/0.75 (define @t16 () (@list @t12)) % 0.39/0.75 (define @t17 () (tptp.ssList @t2)) % 0.39/0.75 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.39/0.75 (define @t19 () (tptp.app @t1 @t12)) % 0.39/0.75 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.39/0.75 (define @t21 () (tptp.ssList @t1)) % 0.39/0.75 (define @t22 () (tptp.app @t12 @t1)) % 0.39/0.75 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.39/0.75 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.39/0.75 (define @t25 () (tptp.leq @t12 @t1)) % 0.39/0.75 (define @t26 () (tptp.leq @t1 @t12)) % 0.39/0.75 (define @t27 () (@var "Z" $$unsorted)) % 0.39/0.75 (define @t28 () (@var "Y" $$unsorted)) % 0.39/0.75 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.39/0.75 (define @t30 () (tptp.ssList @t27)) % 0.39/0.75 (define @t31 () (@list @t27)) % 0.39/0.75 (define @t32 () (tptp.ssList @t28)) % 0.39/0.75 (define @t33 () (@list @t28)) % 0.39/0.75 (define @t34 () (tptp.ssItem @t12)) % 0.39/0.75 (define @t35 () (tptp.lt @t1 @t12)) % 0.39/0.75 (define @t36 () (= @t1 @t12)) % 0.39/0.75 (define @t37 () (forall @t7 (=> @t21 @t5))) % 0.39/0.75 (define @t38 () (=> @t17 @t37)) % 0.39/0.75 (define @t39 () (forall @t9 @t38)) % 0.39/0.75 (define @t40 () (tptp.cons @t1 @t2)) % 0.39/0.75 (define @t41 () (tptp.ssList @t40)) % 0.39/0.75 (define @t42 () (forall @t7 (=> @t6 @t41))) % 0.39/0.75 (define @t43 () (=> @t17 @t42)) % 0.39/0.75 (define @t44 () (forall @t9 @t43)) % 0.39/0.75 (define @t45 () (tptp.ssList tptp.nil)) % 0.39/0.75 (define @t46 () (= @t1 @t2)) % 0.39/0.75 (define @t47 () (tptp.cons @t12 @t1)) % 0.39/0.75 (define @t48 () (= tptp.nil @t2)) % 0.39/0.75 (define @t49 () (tptp.hd @t2)) % 0.39/0.75 (define @t50 () (not @t48)) % 0.39/0.75 (define @t51 () (tptp.tl @t2)) % 0.39/0.75 (define @t52 () (tptp.app @t2 @t1)) % 0.39/0.75 (define @t53 () (tptp.app @t1 @t2)) % 0.39/0.75 (define @t54 () (tptp.leq @t1 @t2)) % 0.39/0.75 (define @t55 () (tptp.leq @t2 @t1)) % 0.39/0.75 (define @t56 () (tptp.geq @t2 @t1)) % 0.39/0.75 (define @t57 () (tptp.lt @t1 @t2)) % 0.39/0.75 (define @t58 () (tptp.lt @t2 @t1)) % 0.39/0.75 (define @t59 () (tptp.lt @t2 @t12)) % 0.39/0.75 (define @t60 () (tptp.gt @t2 @t1)) % 0.39/0.75 (define @t61 () (tptp.memberP @t12 @t2)) % 0.39/0.75 (define @t62 () (tptp.memberP @t1 @t2)) % 0.39/0.75 (define @t63 () (= (tptp.memberP @t19 @t2) (or @t62 @t61))) % 0.39/0.75 (define @t64 () (forall @t16 (=> @t15 @t63))) % 0.39/0.75 (define @t65 () (=> @t21 @t64)) % 0.39/0.75 (define @t66 () (forall @t7 @t65)) % 0.39/0.75 (define @t67 () (=> @t8 @t66)) % 0.39/0.75 (define @t68 () (forall @t9 @t67)) % 0.39/0.75 (define @t69 () (not (tptp.memberP tptp.nil @t2))) % 0.39/0.75 (define @t70 () (forall @t9 (=> @t8 @t69))) % 0.39/0.75 (define @t71 () (tptp.app @t12 @t2)) % 0.39/0.75 (define @t72 () (tptp.cons @t2 tptp.nil)) % 0.39/0.75 (define @t73 () (tptp.hd @t1)) % 0.39/0.75 (define @t74 () (= tptp.nil @t1)) % 0.39/0.75 (define @t75 () (not @t74)) % 0.39/0.75 (define @t76 () (tptp.cons @t2 @t1)) % 0.39/0.75 (define @t77 () (= @t12 @t2)) % 0.39/0.75 (define @t78 () (tptp.neq @t10 tptp.nil)) % 0.39/0.75 (define @t79 () (tptp.cons @t27 tptp.nil)) % 0.39/0.75 (define @t80 () (@var "X1" $$unsorted)) % 0.39/0.75 (define @t81 () (tptp.app @t80 @t79)) % 0.39/0.75 (define @t82 () (not (= @t81 @t10))) % 0.39/0.75 (define @t83 () (tptp.app @t79 @t80)) % 0.39/0.75 (define @t84 () (not (= @t83 @t12))) % 0.39/0.75 (define @t85 () (or @t84 @t82)) % 0.39/0.75 (define @t86 () (tptp.ssList @t80)) % 0.39/0.75 (define @t87 () (=> @t86 @t85)) % 0.39/0.75 (define @t88 () (@list @t80)) % 0.39/0.75 (define @t89 () (forall @t88 @t87)) % 0.39/0.75 (define @t90 () (tptp.ssItem @t27)) % 0.39/0.75 (define @t91 () (=> @t90 @t89)) % 0.39/0.75 (define @t92 () (forall @t31 @t91)) % 0.39/0.75 (define @t93 () (and @t92 @t78)) % 0.39/0.75 (define @t94 () (not (= tptp.nil @t12))) % 0.39/0.75 (define @t95 () (and @t94 (= tptp.nil @t10))) % 0.39/0.75 (define @t96 () (tptp.memberP @t1 @t28)) % 0.39/0.75 (define @t97 () (not (tptp.memberP @t2 @t28))) % 0.39/0.75 (define @t98 () (or @t97 @t96)) % 0.39/0.75 (define @t99 () (tptp.ssItem @t28)) % 0.39/0.75 (define @t100 () (forall @t33 (=> @t99 @t98))) % 0.39/0.75 (define @t101 () (not (= @t2 @t12))) % 0.39/0.75 (define @t102 () (not (= @t1 @t10))) % 0.39/0.75 (define @t103 () (or @t102 @t101 @t100 @t95 @t93)) % 0.39/0.75 (define @t104 () (=> @t13 @t103)) % 0.39/0.75 (define @t105 () (forall @t14 @t104)) % 0.39/0.75 (define @t106 () (=> @t15 @t105)) % 0.39/0.75 (define @t107 () (forall @t16 @t106)) % 0.39/0.75 (define @t108 () (=> @t21 @t107)) % 0.39/0.75 (define @t109 () (forall @t7 @t108)) % 0.39/0.75 (define @t110 () (=> @t17 @t109)) % 0.39/0.75 (define @t111 () (forall @t9 @t110)) % 0.39/0.75 (define @t112 () (not @t111)) % 0.39/0.75 (define @t113 () (@var "BOUND_VARIABLE_11157" $$unsorted)) % 0.39/0.75 (define @t114 () (@var "BOUND_VARIABLE_11155" $$unsorted)) % 0.39/0.75 (define @t115 () (tptp.memberP @t114 @t113)) % 0.39/0.75 (define @t116 () (not (tptp.memberP @t2 @t113))) % 0.39/0.75 (define @t117 () (not (tptp.ssItem @t113))) % 0.39/0.75 (define @t118 () (@var "BOUND_VARIABLE_11159" $$unsorted)) % 0.39/0.75 (define @t119 () (tptp.cons @t118 tptp.nil)) % 0.39/0.75 (define @t120 () (@var "BOUND_VARIABLE_11161" $$unsorted)) % 0.39/0.75 (define @t121 () (and (or (not (tptp.ssItem @t118)) (not (tptp.ssList @t120)) (not (= @t2 (tptp.app @t119 @t120))) (not (= @t114 (tptp.app @t120 @t119)))) (tptp.neq @t114 tptp.nil))) % 0.39/0.75 (define @t122 () (not (= @t2 tptp.nil))) % 0.39/0.75 (define @t123 () (and @t122 (= @t114 tptp.nil))) % 0.39/0.75 (define @t124 () (not (tptp.ssList @t114))) % 0.39/0.75 (define @t125 () (not @t17)) % 0.39/0.75 (define @t126 () (or @t125 @t124 @t123 @t121 @t117 @t116 @t115)) % 0.39/0.75 (define @t127 () (or @t124 @t123 @t121 @t117 @t116 @t115)) % 0.39/0.75 (define @t128 () (or @t125 @t127)) % 0.39/0.75 (define @t129 () (@list @t2 @t114 @t113 @t118 @t120)) % 0.39/0.75 (define @t130 () (forall @t129 @t128)) % 0.39/0.75 (define @t131 () (@list @t114 @t113 @t118 @t120)) % 0.39/0.75 (define @t132 () (forall @t131 @t128)) % 0.39/0.75 (define @t133 () (forall @t131 @t127)) % 0.39/0.75 (define @t134 () (@var "BOUND_VARIABLE_11131" $$unsorted)) % 0.39/0.75 (define @t135 () (@var "BOUND_VARIABLE_11129" $$unsorted)) % 0.39/0.75 (define @t136 () (@var "BOUND_VARIABLE_11121" $$unsorted)) % 0.39/0.75 (define @t137 () (or @t125 @t133)) % 0.39/0.75 (define @t138 () (tptp.memberP @t1 @t136)) % 0.39/0.75 (define @t139 () (not (tptp.memberP @t2 @t136))) % 0.39/0.75 (define @t140 () (not (tptp.ssItem @t136))) % 0.39/0.75 (define @t141 () (tptp.neq @t1 tptp.nil)) % 0.39/0.75 (define @t142 () (tptp.cons @t135 tptp.nil)) % 0.39/0.75 (define @t143 () (or (not (tptp.ssItem @t135)) (not (tptp.ssList @t134)) (not (= @t2 (tptp.app @t142 @t134))) (not (= @t1 (tptp.app @t134 @t142))))) % 0.39/0.75 (define @t144 () (and @t143 @t141)) % 0.39/0.75 (define @t145 () (= @t1 tptp.nil)) % 0.39/0.75 (define @t146 () (and @t122 @t145)) % 0.39/0.75 (define @t147 () (not @t21)) % 0.39/0.75 (define @t148 () (or @t147 @t146 @t144 @t140 @t139 @t138)) % 0.39/0.75 (define @t149 () (@list @t1 @t136 @t135 @t134)) % 0.39/0.75 (define @t150 () (or @t125 (forall @t149 @t148))) % 0.39/0.75 (define @t151 () (or @t140 @t139 @t138)) % 0.39/0.75 (define @t152 () (or @t147 @t151 @t146 @t144)) % 0.39/0.75 (define @t153 () (forall @t149 @t152)) % 0.39/0.75 (define @t154 () (forall (@list @t136 @t135 @t134) @t152)) % 0.39/0.75 (define @t155 () (@list @t135 @t134)) % 0.39/0.75 (define @t156 () (forall @t155 @t141)) % 0.39/0.75 (define @t157 () (forall @t155 @t143)) % 0.39/0.75 (define @t158 () (@var "BOUND_VARIABLE_11090" $$unsorted)) % 0.39/0.75 (define @t159 () (@var "BOUND_VARIABLE_11088" $$unsorted)) % 0.39/0.75 (define @t160 () (@list @t159 @t158)) % 0.39/0.75 (define @t161 () (and @t157 @t156)) % 0.39/0.75 (define @t162 () (forall @t155 @t144)) % 0.39/0.75 (define @t163 () (forall (@list @t136) @t151)) % 0.39/0.75 (define @t164 () (or @t147 @t163 @t146 @t162)) % 0.39/0.75 (define @t165 () (tptp.cons @t159 tptp.nil)) % 0.39/0.75 (define @t166 () (and (forall (@list @t159 @t158) (or (not (tptp.ssItem @t159)) (not (tptp.ssList @t158)) (not (= @t2 (tptp.app @t165 @t158))) (not (= @t1 (tptp.app @t158 @t165))))) @t141)) % 0.39/0.75 (define @t167 () (not @t99)) % 0.39/0.75 (define @t168 () (or @t167 @t97 @t96)) % 0.39/0.75 (define @t169 () (forall @t33 @t168)) % 0.39/0.75 (define @t170 () (or @t147 @t169 @t146 @t166)) % 0.39/0.75 (define @t171 () (forall @t7 @t170)) % 0.39/0.75 (define @t172 () (or @t125 @t171)) % 0.39/0.75 (define @t173 () (or @t125 @t170)) % 0.39/0.75 (define @t174 () (or @t147 @t169 @t125 @t146 @t166)) % 0.39/0.75 (define @t175 () (or @t169 @t147 @t125 @t146 @t166)) % 0.39/0.75 (define @t176 () (@var "BOUND_VARIABLE_11055" $$unsorted)) % 0.39/0.75 (define @t177 () (@var "BOUND_VARIABLE_11053" $$unsorted)) % 0.39/0.75 (define @t178 () (@list @t177 @t176)) % 0.39/0.75 (define @t179 () (forall @t178 @t141)) % 0.39/0.75 (define @t180 () (tptp.cons @t177 tptp.nil)) % 0.39/0.75 (define @t181 () (not (= @t1 (tptp.app @t176 @t180)))) % 0.39/0.75 (define @t182 () (tptp.app @t180 @t176)) % 0.39/0.75 (define @t183 () (not (tptp.ssList @t176))) % 0.39/0.75 (define @t184 () (not (tptp.ssItem @t177))) % 0.39/0.75 (define @t185 () (or @t184 @t183 (not (= @t2 @t182)) @t181)) % 0.39/0.75 (define @t186 () (forall @t178 @t185)) % 0.39/0.75 (define @t187 () (@list @t177 @t176)) % 0.39/0.75 (define @t188 () (and @t186 @t179)) % 0.39/0.75 (define @t189 () (and @t185 @t141)) % 0.39/0.75 (define @t190 () (forall @t178 @t189)) % 0.39/0.75 (define @t191 () (or @t125 @t146 @t190)) % 0.39/0.75 (define @t192 () (or @t125 @t146 @t189)) % 0.39/0.75 (define @t193 () (not (= @t2 @t2))) % 0.39/0.75 (define @t194 () (or @t125 @t193 @t146 @t189)) % 0.39/0.75 (define @t195 () (or @t184 @t183 (not (= @t12 @t182)) @t181)) % 0.39/0.75 (define @t196 () (and @t195 @t141)) % 0.39/0.75 (define @t197 () (not (= @t12 tptp.nil))) % 0.39/0.75 (define @t198 () (and @t197 @t145)) % 0.39/0.75 (define @t199 () (not @t15)) % 0.39/0.75 (define @t200 () (or @t101 @t199 @t101 @t198 @t196)) % 0.39/0.75 (define @t201 () (or @t199 @t101 @t198 @t196)) % 0.39/0.75 (define @t202 () (forall @t16 @t201)) % 0.39/0.75 (define @t203 () (forall @t178 @t202)) % 0.39/0.75 (define @t204 () (forall (@list @t177 @t176 @t12) @t201)) % 0.39/0.75 (define @t205 () (forall (@list @t12 @t177 @t176) @t201)) % 0.39/0.75 (define @t206 () (forall @t178 @t201)) % 0.39/0.75 (define @t207 () (forall @t178 @t195)) % 0.39/0.75 (define @t208 () (@var "BOUND_VARIABLE_11022" $$unsorted)) % 0.39/0.75 (define @t209 () (@var "BOUND_VARIABLE_11020" $$unsorted)) % 0.39/0.75 (define @t210 () (@list @t209 @t208)) % 0.39/0.75 (define @t211 () (and @t207 @t179)) % 0.39/0.75 (define @t212 () (forall @t178 @t196)) % 0.39/0.75 (define @t213 () (or @t199 @t101 @t198 @t212)) % 0.39/0.75 (define @t214 () (tptp.cons @t209 tptp.nil)) % 0.39/0.75 (define @t215 () (and (forall (@list @t209 @t208) (or (not (tptp.ssItem @t209)) (not (tptp.ssList @t208)) (not (= @t12 (tptp.app @t214 @t208))) (not (= @t1 (tptp.app @t208 @t214))))) @t141)) % 0.39/0.75 (define @t216 () (or @t199 @t101 @t198 @t215)) % 0.39/0.75 (define @t217 () (forall @t16 @t216)) % 0.39/0.75 (define @t218 () (or @t169 @t147 @t217)) % 0.39/0.75 (define @t219 () (or @t169 @t147 @t216)) % 0.39/0.75 (define @t220 () (or @t199 @t101 @t169 @t147 @t198 @t215)) % 0.39/0.75 (define @t221 () (or @t101 @t169 @t147 @t198 @t215)) % 0.39/0.75 (define @t222 () (@var "BOUND_VARIABLE_10988" $$unsorted)) % 0.39/0.75 (define @t223 () (@var "BOUND_VARIABLE_10986" $$unsorted)) % 0.39/0.75 (define @t224 () (@list @t223 @t222)) % 0.39/0.75 (define @t225 () (forall @t224 @t141)) % 0.39/0.75 (define @t226 () (tptp.cons @t223 tptp.nil)) % 0.39/0.75 (define @t227 () (tptp.app @t222 @t226)) % 0.39/0.75 (define @t228 () (not (= @t12 (tptp.app @t226 @t222)))) % 0.39/0.75 (define @t229 () (not (tptp.ssList @t222))) % 0.39/0.75 (define @t230 () (not (tptp.ssItem @t223))) % 0.39/0.75 (define @t231 () (or @t230 @t229 @t228 (not (= @t1 @t227)))) % 0.39/0.75 (define @t232 () (forall @t224 @t231)) % 0.39/0.75 (define @t233 () (@list @t223 @t222)) % 0.39/0.75 (define @t234 () (and @t232 @t225)) % 0.39/0.75 (define @t235 () (and @t231 @t141)) % 0.39/0.75 (define @t236 () (forall @t224 @t235)) % 0.39/0.75 (define @t237 () (or @t147 @t198 @t236)) % 0.39/0.75 (define @t238 () (or @t147 @t198 @t235)) % 0.39/0.75 (define @t239 () (not (= @t1 @t1))) % 0.39/0.75 (define @t240 () (or @t147 @t239 @t198 @t235)) % 0.39/0.75 (define @t241 () (or @t230 @t229 @t228 (not (= @t10 @t227)))) % 0.39/0.75 (define @t242 () (and @t241 @t78)) % 0.39/0.75 (define @t243 () (and @t197 (= @t10 tptp.nil))) % 0.39/0.75 (define @t244 () (not @t13)) % 0.39/0.75 (define @t245 () (or @t102 @t244 @t102 @t243 @t242)) % 0.39/0.75 (define @t246 () (or @t244 @t102 @t243 @t242)) % 0.39/0.75 (define @t247 () (forall @t14 @t246)) % 0.39/0.75 (define @t248 () (forall @t224 @t247)) % 0.39/0.75 (define @t249 () (forall (@list @t223 @t222 @t10) @t246)) % 0.39/0.75 (define @t250 () (forall (@list @t10 @t223 @t222) @t246)) % 0.39/0.75 (define @t251 () (forall @t224 @t246)) % 0.39/0.75 (define @t252 () (forall @t224 @t78)) % 0.39/0.75 (define @t253 () (forall @t224 @t241)) % 0.39/0.75 (define @t254 () (@var "BOUND_VARIABLE_10961" $$unsorted)) % 0.39/0.75 (define @t255 () (and @t253 @t252)) % 0.39/0.75 (define @t256 () (forall @t224 @t242)) % 0.39/0.75 (define @t257 () (or @t244 @t102 @t243 @t256)) % 0.39/0.75 (define @t258 () (not (= @t10 (tptp.app @t254 @t79)))) % 0.39/0.75 (define @t259 () (not (= @t12 (tptp.app @t79 @t254)))) % 0.39/0.75 (define @t260 () (not (tptp.ssList @t254))) % 0.39/0.75 (define @t261 () (not @t90)) % 0.39/0.75 (define @t262 () (or @t261 @t260 @t259 @t258)) % 0.39/0.75 (define @t263 () (@list @t27 @t254)) % 0.39/0.75 (define @t264 () (and (forall @t263 @t262) @t78)) % 0.39/0.75 (define @t265 () (or @t244 @t102 @t243 @t264)) % 0.39/0.75 (define @t266 () (forall @t14 @t265)) % 0.39/0.75 (define @t267 () (or @t101 @t169 @t266)) % 0.39/0.75 (define @t268 () (or @t101 @t169 @t265)) % 0.39/0.75 (define @t269 () (or @t244 @t102 @t101 @t169 @t243 @t264)) % 0.39/0.75 (define @t270 () (or @t102 @t101 @t169 @t243 @t264)) % 0.39/0.75 (define @t271 () (or @t260 @t259 @t258)) % 0.39/0.75 (define @t272 () (or @t261 @t271)) % 0.39/0.75 (define @t273 () (forall @t263 @t272)) % 0.39/0.75 (define @t274 () (@list @t254)) % 0.39/0.75 (define @t275 () (forall @t274 @t272)) % 0.39/0.75 (define @t276 () (forall @t274 @t271)) % 0.39/0.75 (define @t277 () (or @t261 @t276)) % 0.39/0.75 (define @t278 () (not (= @t10 @t81))) % 0.39/0.75 (define @t279 () (not (= @t12 @t83))) % 0.39/0.75 (define @t280 () (not @t86)) % 0.39/0.75 (define @t281 () (or @t280 @t279 @t278)) % 0.39/0.75 (define @t282 () (forall @t88 @t281)) % 0.39/0.75 (define @t283 () (or @t279 @t278)) % 0.39/0.75 (define @t284 () (forall @t129 (or @t125 @t124 (and @t122 (= tptp.nil @t114)) @t121 @t117 @t116 @t115))) % 0.39/0.75 (define @t285 () (@quantifiers_skolemize @t284 2)) % 0.39/0.75 (define @t286 () (@quantifiers_skolemize @t284 1)) % 0.39/0.75 (define @t287 () (tptp.memberP @t286 @t285)) % 0.39/0.75 (define @t288 () (@quantifiers_skolemize @t284 0)) % 0.39/0.75 (define @t289 () (tptp.memberP @t288 @t285)) % 0.39/0.75 (define @t290 () (not @t289)) % 0.39/0.75 (define @t291 () (tptp.ssItem @t285)) % 0.39/0.75 (define @t292 () (not @t291)) % 0.39/0.75 (define @t293 () (tptp.neq @t286 tptp.nil)) % 0.39/0.75 (define @t294 () (@quantifiers_skolemize @t284 3)) % 0.39/0.75 (define @t295 () (tptp.cons @t294 tptp.nil)) % 0.39/0.75 (define @t296 () (@quantifiers_skolemize @t284 4)) % 0.39/0.75 (define @t297 () (tptp.app @t296 @t295)) % 0.39/0.75 (define @t298 () (= @t286 @t297)) % 0.39/0.75 (define @t299 () (not @t298)) % 0.39/0.75 (define @t300 () (tptp.app @t295 @t296)) % 0.39/0.75 (define @t301 () (= @t288 @t300)) % 0.39/0.75 (define @t302 () (not @t301)) % 0.39/0.75 (define @t303 () (tptp.ssList @t296)) % 0.39/0.75 (define @t304 () (not @t303)) % 0.39/0.75 (define @t305 () (tptp.ssItem @t294)) % 0.39/0.75 (define @t306 () (not @t305)) % 0.39/0.75 (define @t307 () (or @t306 @t304 @t302 @t299)) % 0.39/0.75 (define @t308 () (and @t307 @t293)) % 0.39/0.75 (define @t309 () (= tptp.nil @t286)) % 0.39/0.75 (define @t310 () (= tptp.nil @t288)) % 0.39/0.75 (define @t311 () (not @t310)) % 0.39/0.75 (define @t312 () (and @t311 @t309)) % 0.39/0.75 (define @t313 () (tptp.ssList @t286)) % 0.39/0.75 (define @t314 () (not @t313)) % 0.39/0.75 (define @t315 () (not (tptp.ssList @t288))) % 0.39/0.75 (define @t316 () (or @t315 @t314 @t312 @t308 @t292 @t290 @t287)) % 0.39/0.75 (define @t317 () (not @t316)) % 0.39/0.75 (define @t318 () (not @t284)) % 0.39/0.75 (define @t319 () (not (= @t288 tptp.nil))) % 0.39/0.75 (define @t320 () (and @t319 @t309)) % 0.39/0.75 (define @t321 () (or @t315 @t314 @t320 @t308 @t292 @t290 @t287)) % 0.39/0.75 (define @t322 () (not @t321)) % 0.39/0.75 (define @t323 () (@list true)) % 0.39/0.75 (define @t324 () (@list @t316)) % 0.39/0.75 (define @t325 () (tptp.memberP tptp.nil @t285)) % 0.39/0.75 (define @t326 () (not @t325)) % 0.39/0.75 (define @t327 () (or @t292 @t326)) % 0.39/0.75 (define @t328 () (@var "BOUND_VARIABLE_9116" $$unsorted)) % 0.39/0.75 (define @t329 () (= (tptp.neq @t2 @t328) (not (= @t2 @t328)))) % 0.39/0.75 (define @t330 () (not (tptp.ssList @t328))) % 0.39/0.75 (define @t331 () (or @t125 @t330 @t329)) % 0.39/0.75 (define @t332 () (or @t330 @t329)) % 0.39/0.75 (define @t333 () (or @t125 @t332)) % 0.39/0.75 (define @t334 () (@list @t2 @t328)) % 0.39/0.75 (define @t335 () (forall @t334 @t333)) % 0.39/0.75 (define @t336 () (@list @t328)) % 0.39/0.75 (define @t337 () (forall @t336 @t333)) % 0.39/0.75 (define @t338 () (forall @t336 @t332)) % 0.39/0.75 (define @t339 () (@list @t1)) % 0.39/0.75 (define @t340 () (or @t125 @t338)) % 0.39/0.75 (define @t341 () (forall @t7 (or @t147 @t5))) % 0.39/0.75 (define @t342 () (not (= @t286 tptp.nil))) % 0.39/0.75 (define @t343 () (= @t293 @t342)) % 0.39/0.75 (define @t344 () (not @t45)) % 0.39/0.75 (define @t345 () (or @t314 @t344 @t343)) % 0.39/0.75 (define @t346 () (forall @t334 @t331)) % 0.39/0.75 (define @t347 () (not @t309)) % 0.39/0.75 (define @t348 () (= @t293 @t347)) % 0.39/0.75 (define @t349 () (or @t314 @t344 @t348)) % 0.39/0.75 (define @t350 () (@var "BOUND_VARIABLE_9137" $$unsorted)) % 0.39/0.75 (define @t351 () (tptp.ssList (tptp.cons @t350 @t2))) % 0.39/0.75 (define @t352 () (not (tptp.ssItem @t350))) % 0.39/0.75 (define @t353 () (or @t352 @t351)) % 0.39/0.75 (define @t354 () (or @t125 @t353)) % 0.39/0.75 (define @t355 () (forall (@list @t2 @t350) @t354)) % 0.39/0.75 (define @t356 () (@list @t350)) % 0.39/0.75 (define @t357 () (forall @t356 @t354)) % 0.39/0.75 (define @t358 () (forall @t356 @t353)) % 0.39/0.75 (define @t359 () (or @t125 @t358)) % 0.39/0.75 (define @t360 () (forall @t7 (or (not @t6) @t41))) % 0.39/0.75 (define @t361 () (tptp.ssList @t295)) % 0.39/0.75 (define @t362 () (or @t344 @t306 @t361)) % 0.39/0.75 (define @t363 () (@var "BOUND_VARIABLE_9669" $$unsorted)) % 0.39/0.75 (define @t364 () (@var "BOUND_VARIABLE_9667" $$unsorted)) % 0.39/0.75 (define @t365 () (= (tptp.memberP (tptp.app @t364 @t363) @t2) (or (tptp.memberP @t364 @t2) (tptp.memberP @t363 @t2)))) % 0.39/0.75 (define @t366 () (not (tptp.ssList @t363))) % 0.39/0.75 (define @t367 () (not (tptp.ssList @t364))) % 0.39/0.75 (define @t368 () (not @t8)) % 0.39/0.75 (define @t369 () (or @t367 @t366 @t365)) % 0.39/0.75 (define @t370 () (or @t368 @t369)) % 0.39/0.75 (define @t371 () (forall (@list @t2 @t364 @t363) @t370)) % 0.39/0.75 (define @t372 () (@list @t364 @t363)) % 0.39/0.75 (define @t373 () (forall @t372 @t370)) % 0.39/0.75 (define @t374 () (forall @t372 @t369)) % 0.39/0.75 (define @t375 () (@var "BOUND_VARIABLE_9648" $$unsorted)) % 0.39/0.75 (define @t376 () (or @t368 @t374)) % 0.39/0.75 (define @t377 () (= (tptp.memberP (tptp.app @t1 @t375) @t2) (or @t62 (tptp.memberP @t375 @t2)))) % 0.39/0.75 (define @t378 () (not (tptp.ssList @t375))) % 0.39/0.75 (define @t379 () (or @t147 @t378 @t377)) % 0.39/0.75 (define @t380 () (@list @t1 @t375)) % 0.39/0.75 (define @t381 () (forall @t380 @t379)) % 0.39/0.75 (define @t382 () (or @t378 @t377)) % 0.39/0.75 (define @t383 () (or @t147 @t382)) % 0.39/0.75 (define @t384 () (forall @t380 @t383)) % 0.39/0.75 (define @t385 () (@list @t375)) % 0.39/0.75 (define @t386 () (forall @t385 @t383)) % 0.39/0.75 (define @t387 () (forall @t385 @t382)) % 0.39/0.75 (define @t388 () (or @t147 @t387)) % 0.39/0.75 (define @t389 () (forall @t16 (or @t199 @t63))) % 0.39/0.75 (define @t390 () (tptp.memberP @t296 @t285)) % 0.39/0.75 (define @t391 () (tptp.memberP @t295 @t285)) % 0.39/0.75 (define @t392 () (or @t391 @t390)) % 0.39/0.75 (define @t393 () (tptp.memberP @t300 @t285)) % 0.39/0.75 (define @t394 () (= @t393 @t392)) % 0.39/0.75 (define @t395 () (not @t361)) % 0.39/0.75 (define @t396 () (or @t292 @t395 @t304 @t394)) % 0.39/0.75 (define @t397 () (or @t390 @t391)) % 0.39/0.75 (define @t398 () (tptp.memberP @t297 @t285)) % 0.39/0.75 (define @t399 () (= @t398 @t397)) % 0.39/0.75 (define @t400 () (or @t292 @t304 @t395 @t399)) % 0.39/0.75 (define @t401 () (and @t301 @t289)) % 0.39/0.75 (define @t402 () (not @t287)) % 0.39/0.75 (define @t403 () (not @t398)) % 0.39/0.75 (define @t404 () (and @t298 @t402)) % 0.39/0.75 (define @t405 () (@list true false)) % 0.39/0.75 (define @t406 () (not @t348)) % 0.39/0.75 (define @t407 () (and @t326 @t310 @t289)) % 0.39/0.75 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.39/0.75 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.39/0.75 (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))))))))))) % 0.39/0.75 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.39/0.75 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.39/0.75 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.39/0.75 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.39/0.75 (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))))))))))))))))) % 0.39/0.75 (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)))))))))))))))) % 0.39/0.75 (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))))))))))))))))) % 0.39/0.75 (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))))))))))))))) % 0.39/0.75 (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))))))))))))))) % 0.39/0.75 (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)))))))))))))))) % 0.39/0.75 (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))))))))))))) % 0.39/0.75 (assume @p15 @t39) % 0.39/0.75 (assume @p16 @t44) % 0.39/0.75 (assume @p17 @t45) % 0.39/0.75 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 0.39/0.75 (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))))))))))) % 0.39/0.75 (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t47 @t2))))))))) % 0.39/0.75 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 0.39/0.75 (assume @p22 (forall @t9 (=> @t17 (=> @t50 (tptp.ssItem @t49))))) % 0.39/0.75 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 0.39/0.75 (assume @p24 (forall @t9 (=> @t17 (=> @t50 (tptp.ssList @t51))))) % 0.39/0.75 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 0.39/0.75 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t52)))))) % 0.39/0.75 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t53) (tptp.app @t47 @t2))))))))) % 0.39/0.75 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.39/0.75 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t55 @t54) @t3)))))) % 0.39/0.75 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t26) (tptp.leq @t2 @t12))))))))) % 0.39/0.75 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.39/0.75 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t56 @t54)))))) % 0.39/0.75 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t58 (not @t57))))))) % 0.39/0.75 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t58 @t35) @t59)))))))) % 0.39/0.75 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t60 @t57)))))) % 0.39/0.75 (assume @p36 @t68) % 0.39/0.75 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t61))))))))) % 0.39/0.75 (assume @p38 @t70) % 0.39/0.75 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.39/0.75 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.39/0.75 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.39/0.75 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.39/0.75 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.39/0.75 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= 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(forall @t9 (=> @t8 (tptp.totalorderedP @t72)))) % 0.39/0.75 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.39/0.75 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t76) (or @t74 (and @t75 (tptp.totalorderedP @t1) (tptp.leq @t2 @t73))))))))) % 0.39/0.75 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t72)))) % 0.39/0.75 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.39/0.75 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t76) (or @t74 (and @t75 (tptp.strictorderedP @t1) (tptp.lt @t2 @t73))))))))) % 0.39/0.75 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t72)))) % 0.39/0.75 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.39/0.75 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t72)))) % 0.39/0.75 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.39/0.75 (assume @p75 (forall @t9 (=> @t17 (=> @t50 (exists @t7 (and @t6 (= @t49 @t1))))))) % 0.39/0.75 (assume @p76 (forall @t9 (=> @t17 (=> @t50 (exists @t7 (and @t21 (= @t51 @t1))))))) % 0.39/0.75 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t75 @t50 (= @t73 @t49) (= (tptp.tl @t1) @t51)) @t46)))))) % 0.39/0.75 (assume @p78 (forall @t9 (=> @t17 (=> @t50 (= (tptp.cons @t49 @t51) @t2))))) % 0.39/0.75 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t52) @t77)))))))) % 0.39/0.75 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t53) @t77)))))))) % 0.39/0.75 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 0.39/0.75 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t52 @t12) (tptp.app @t2 @t19))))))))) % 0.39/0.75 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t52) (and @t74 @t48))))))) % 0.39/0.75 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.39/0.75 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t50 (= (tptp.hd @t52) @t49))))))) % 0.39/0.75 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t50 (= (tptp.tl @t52) (tptp.app @t51 @t1)))))))) % 0.39/0.75 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t56 (tptp.geq @t1 @t2)) @t3)))))) % 0.39/0.75 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.39/0.75 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.39/0.75 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.39/0.75 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t35) @t59)))))))) % 0.39/0.75 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (or @t3 @t58))))))) % 0.39/0.75 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t58 (and @t4 @t55))))))) % 0.39/0.75 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t60 (not (tptp.gt @t1 @t2)))))))) % 0.39/0.75 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t60 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.39/0.75 (assume @p96 @t112) % 0.39/0.75 (assume @p97 true) % 0.39/0.75 (step @p98 :rule refl :args (@t115)) % 0.39/0.75 (step @p99 :rule refl :args (@t116)) % 0.39/0.75 (step @p100 :rule refl :args (@t117)) % 0.39/0.75 (step @p101 :rule refl :args (@t121)) % 0.39/0.75 (step @p102 :rule eq-symm :args (@t114 tptp.nil)) % 0.39/0.75 (step @p103 :rule refl :args (@t122)) % 0.39/0.75 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t123)) % 0.39/0.75 (step @p105 :rule refl :args (@t124)) % 0.39/0.75 (step @p106 :rule refl :args (@t125)) % 0.39/0.75 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p101 @p100 @p99 @p98) :args (@t126)) % 0.39/0.75 (step @p108 :rule aci_norm :args ((= @t128 @t126))) % 0.39/0.75 (step @p109 :rule trans :premises (@p108 @p107)) % 0.39/0.75 (step @p110 :rule cong :premises (@p109) :args (@t130)) % 0.39/0.75 (step @p111 :rule quant-merge-prenex :args ((= (forall @t9 @t132) @t130))) % 0.39/0.75 (step @p112 :rule alpha_equiv :args (@t133 (@list @t114 @t113 @t118 @t120) (@list @t1 @t136 @t135 @t134))) % 0.39/0.75 (step @p113 :rule refl :args (@t125)) % 0.39/0.75 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t137)) % 0.39/0.75 (step @p115 :rule quant-miniscope-or :args ((= @t132 @t137))) % 0.39/0.75 (step @p116 :rule trans :premises (@p115 @p114)) % 0.39/0.75 (step @p117 :rule symm :premises (@p116)) % 0.39/0.75 (step @p118 :rule cong :premises (@p117) :args ((forall @t9 @t150))) % 0.39/0.75 (step @p119 :rule trans :premises (@p118 @p111)) % 0.39/0.75 (step @p120 :rule trans :premises (@p119 @p110)) % 0.39/0.75 (step @p121 :rule aci_norm :args ((= (or @t125 @t150) @t150))) % 0.39/0.75 (step @p122 :rule bool-impl-elim :args (@t17 @t150)) % 0.39/0.75 (step @p123 :rule trans :premises (@p122 @p121)) % 0.39/0.75 (step @p124 :rule cong :premises (@p123) :args ((forall @t9 (=> @t17 @t150)))) % 0.39/0.75 (step @p125 :rule trans :premises (@p124 @p120)) % 0.39/0.75 (step @p126 :rule aci_norm :args ((= @t152 @t148))) % 0.39/0.75 (step @p127 :rule cong :premises (@p126) :args (@t153)) % 0.39/0.75 (step @p128 :rule quant-merge-prenex :args ((= (forall @t7 @t154) @t153))) % 0.39/0.75 (step @p129 :rule quant-unused-vars :args ((= @t156 @t141))) % 0.39/0.75 (step @p130 :rule alpha_equiv :args (@t157 (@list @t135 @t134) @t160)) % 0.39/0.75 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t161)) % 0.39/0.75 (step @p132 :rule quant-miniscope-and :args ((= @t162 @t161))) % 0.39/0.75 (step @p133 :rule trans :premises (@p132 @p131)) % 0.39/0.75 (step @p134 :rule refl :args (@t146)) % 0.39/0.75 (step @p135 :rule alpha_equiv :args (@t163 (@list @t136) (@list @t28))) % 0.39/0.75 (step @p136 :rule refl :args (@t147)) % 0.39/0.75 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134 @p133) :args (@t164)) % 0.39/0.75 (step @p138 :rule quant-miniscope-or :args ((= @t154 @t164))) % 0.39/0.75 (step @p139 :rule trans :premises (@p138 @p137)) % 0.39/0.75 (step @p140 :rule symm :premises (@p139)) % 0.39/0.75 (step @p141 :rule cong :premises (@p140) :args (@t171)) % 0.39/0.75 (step @p142 :rule trans :premises (@p141 @p128)) % 0.39/0.75 (step @p143 :rule trans :premises (@p142 @p127)) % 0.39/0.75 (step @p144 :rule nary_cong :premises (@p106 @p143) :args (@t172)) % 0.39/0.75 (step @p145 :rule quant-miniscope-or :args ((= (forall @t7 @t173) @t172))) % 0.39/0.75 (step @p146 :rule aci_norm :args ((= @t174 @t173))) % 0.39/0.75 (step @p147 :rule cong :premises (@p146) :args ((forall @t7 @t174))) % 0.39/0.75 (step @p148 :rule trans :premises (@p147 @p145)) % 0.39/0.75 (step @p149 :rule trans :premises (@p148 @p144)) % 0.39/0.75 (step @p150 :rule aci_norm :args ((= (or @t147 @t175) @t174))) % 0.39/0.75 (step @p151 :rule bool-impl-elim :args (@t21 @t175)) % 0.39/0.75 (step @p152 :rule trans :premises (@p151 @p150)) % 0.39/0.75 (step @p153 :rule cong :premises (@p152) :args ((forall @t7 (=> @t21 @t175)))) % 0.39/0.75 (step @p154 :rule trans :premises (@p153 @p149)) % 0.39/0.75 (step @p155 :rule aci_norm :args ((= (or @t169 @t147 (or @t125 @t146 @t166)) @t175))) % 0.39/0.75 (step @p156 :rule quant-unused-vars :args ((= @t179 @t141))) % 0.39/0.75 (step @p157 :rule alpha_equiv :args (@t186 @t187 @t160)) % 0.39/0.75 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t188)) % 0.39/0.75 (step @p159 :rule quant-miniscope-and :args ((= @t190 @t188))) % 0.39/0.75 (step @p160 :rule trans :premises (@p159 @p158)) % 0.39/0.75 (step @p161 :rule refl :args (@t146)) % 0.39/0.75 (step @p162 :rule nary_cong :premises (@p106 @p161 @p160) :args (@t191)) % 0.39/0.75 (step @p163 :rule quant-miniscope-or :args ((= (forall @t178 @t192) @t191))) % 0.39/0.75 (step @p164 :rule trans :premises (@p163 @p162)) % 0.39/0.75 (step @p165 :rule aci_norm :args ((= (or @t125 false @t146 @t189) @t192))) % 0.39/0.75 (step @p166 :rule refl :args (@t189)) % 0.39/0.75 (step @p167 :rule evaluate 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@p179 @p178 @p177 @p176) :args (@t200)) % 0.39/0.75 (step @p183 :rule aci_norm :args ((= @t201 @t200))) % 0.39/0.75 (step @p184 :rule trans :premises (@p183 @p182)) % 0.39/0.75 (step @p185 :rule cong :premises (@p184) :args (@t202)) % 0.39/0.75 (step @p186 :rule trans :premises (@p185 @p175)) % 0.39/0.75 (step @p187 :rule cong :premises (@p186) :args (@t203)) % 0.39/0.75 (step @p188 :rule quant-merge-prenex :args ((= @t203 @t204))) % 0.39/0.75 (step @p189 :rule symm :premises (@p188)) % 0.39/0.75 (step @p190 :rule quant_var_reordering :args ((= @t205 @t204))) % 0.39/0.75 (step @p191 :rule trans :premises (@p190 @p189 @p187)) % 0.39/0.75 (step @p192 :rule trans :premises (@p191 @p174)) % 0.39/0.75 (step @p193 :rule quant-merge-prenex :args ((= (forall @t16 @t206) @t205))) % 0.39/0.75 (step @p194 :rule alpha_equiv :args (@t207 @t187 @t210)) % 0.39/0.75 (step @p195 :rule nary_cong :premises (@p194 @p156) :args (@t211)) % 0.39/0.75 (step @p196 :rule quant-miniscope-and :args ((= @t212 @t211))) % 0.39/0.75 (step @p197 :rule trans :premises (@p196 @p195)) % 0.39/0.75 (step @p198 :rule nary_cong :premises (@p179 @p178 @p177 @p197) :args (@t213)) % 0.39/0.75 (step @p199 :rule quant-miniscope-or :args ((= @t206 @t213))) % 0.39/0.75 (step @p200 :rule trans :premises (@p199 @p198)) % 0.39/0.75 (step @p201 :rule symm :premises (@p200)) % 0.39/0.75 (step @p202 :rule cong :premises (@p201) :args (@t217)) % 0.39/0.75 (step @p203 :rule trans :premises (@p202 @p193)) % 0.39/0.75 (step @p204 :rule trans :premises (@p203 @p192)) % 0.39/0.75 (step @p205 :rule refl :args (@t147)) % 0.39/0.75 (step @p206 :rule refl :args (@t169)) % 0.39/0.75 (step @p207 :rule nary_cong :premises (@p206 @p205 @p204) :args (@t218)) % 0.39/0.75 (step @p208 :rule trans :premises (@p207 @p155)) % 0.39/0.75 (step @p209 :rule quant-miniscope-or :args ((= (forall @t16 @t219) @t218))) % 0.39/0.75 (step @p210 :rule aci_norm :args ((= @t220 @t219))) % 0.39/0.75 (step @p211 :rule cong :premises (@p210) :args 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:rule bool-impl-elim :args (@t6 @t41)) % 0.39/0.75 (step @p469 :rule cong :premises (@p468) :args (@t42)) % 0.39/0.75 (step @p470 :rule cong :premises (@p338 @p469) :args (@t43)) % 0.39/0.75 (step @p471 :rule cong :premises (@p470) :args (@t44)) % 0.39/0.75 (step @p472 :rule trans :premises (@p471 @p467)) % 0.39/0.75 (step @p473 :rule eq_resolve :premises (@p16 @p472)) % 0.39/0.75 (step @p474 :rule instantiate :premises (@p473) :args ((@list tptp.nil @t294))) % 0.39/0.75 (step @p475 :rule cnf_or_pos :args (@t362)) % 0.39/0.75 (step @p476 :rule reordering :premises (@p475) :args ((or @t344 @t306 @t361 (not @t362)))) % 0.39/0.75 (step @p477 :rule aci_norm :args ((= @t370 (or @t368 @t367 @t366 @t365)))) % 0.39/0.75 (step @p478 :rule cong :premises (@p477) :args (@t371)) % 0.39/0.75 (step @p479 :rule quant-merge-prenex :args ((= (forall @t9 @t373) @t371))) % 0.39/0.75 (step @p480 :rule alpha_equiv :args (@t374 (@list @t364 @t363) (@list @t1 @t375))) % 0.39/0.75 (step @p481 :rule refl :args (@t368)) % 0.39/0.75 (step @p482 :rule nary_cong :premises (@p481 @p480) :args (@t376)) % 0.39/0.75 (step @p483 :rule quant-miniscope-or :args ((= @t373 @t376))) % 0.39/0.75 (step @p484 :rule trans :premises (@p483 @p482)) % 0.39/0.75 (step @p485 :rule symm :premises (@p484)) % 0.39/0.75 (step @p486 :rule cong :premises (@p485) :args ((forall @t9 (or @t368 @t381)))) % 0.39/0.75 (step @p487 :rule trans :premises (@p486 @p479)) % 0.39/0.75 (step @p488 :rule trans :premises (@p487 @p478)) % 0.39/0.75 (step @p489 :rule bool-impl-elim :args (@t8 @t381)) % 0.39/0.75 (step @p490 :rule cong :premises (@p489) :args ((forall @t9 (=> @t8 @t381)))) % 0.39/0.75 (step @p491 :rule trans :premises (@p490 @p488)) % 0.39/0.75 (step @p492 :rule aci_norm :args ((= @t383 @t379))) % 0.39/0.75 (step @p493 :rule cong :premises (@p492) :args (@t384)) % 0.39/0.75 (step @p494 :rule quant-merge-prenex :args ((= (forall @t7 @t386) @t384))) % 0.39/0.75 (step @p495 :rule alpha_equiv :args (@t387 (@list @t375) (@list @t12))) % 0.39/0.75 (step @p496 :rule nary_cong :premises (@p136 @p495) :args (@t388)) % 0.39/0.75 (step @p497 :rule quant-miniscope-or :args ((= @t386 @t388))) % 0.39/0.75 (step @p498 :rule trans :premises (@p497 @p496)) % 0.39/0.75 (step @p499 :rule symm :premises (@p498)) % 0.39/0.75 (step @p500 :rule cong :premises (@p499) :args ((forall @t7 (or @t147 @t389)))) % 0.39/0.75 (step @p501 :rule trans :premises (@p500 @p494)) % 0.39/0.75 (step @p502 :rule trans :premises (@p501 @p493)) % 0.39/0.75 (step @p503 :rule bool-impl-elim :args (@t21 @t389)) % 0.39/0.75 (step @p504 :rule cong :premises (@p503) :args ((forall @t7 (=> @t21 @t389)))) % 0.39/0.75 (step @p505 :rule trans :premises (@p504 @p502)) % 0.39/0.75 (step @p506 :rule bool-impl-elim :args (@t15 @t63)) % 0.39/0.75 (step @p507 :rule cong :premises (@p506) :args (@t64)) % 0.39/0.75 (step @p508 :rule cong :premises (@p334 @p507) :args (@t65)) % 0.39/0.75 (step @p509 :rule cong :premises (@p508) :args (@t66)) % 0.39/0.75 (step @p510 :rule trans :premises (@p509 @p505)) % 0.39/0.75 (step @p511 :rule refl :args (@t8)) % 0.39/0.75 (step @p512 :rule cong :premises (@p511 @p510) :args (@t67)) % 0.39/0.75 (step @p513 :rule cong :premises (@p512) :args (@t68)) % 0.39/0.75 (step @p514 :rule trans :premises (@p513 @p491)) % 0.39/0.75 (step @p515 :rule eq_resolve :premises (@p36 @p514)) % 0.39/0.75 (step @p516 :rule instantiate :premises (@p515) :args ((@list @t285 @t295 @t296))) % 0.39/0.75 (step @p517 :rule cnf_or_pos :args (@t396)) % 0.39/0.75 (step @p518 :rule reordering :premises (@p517) :args ((or @t304 @t292 @t395 @t394 (not @t396)))) % 0.39/0.75 (step @p519 :rule instantiate :premises (@p515) :args ((@list @t285 @t296 @t295))) % 0.39/0.75 (step @p520 :rule cnf_or_pos :args (@t400)) % 0.39/0.75 (step @p521 :rule reordering :premises (@p520) :args ((or @t304 @t292 @t395 @t399 (not @t400)))) % 0.39/0.75 (assume-push @p634 @t301) % 0.39/0.75 (assume-push @p635 @t289) % 0.39/0.75 (assume-push @p636 @t289) % 0.39/0.75 (assume-push @p637 @t301) % 0.39/0.75 (step @p526 :rule true_intro :premises (@p375)) % 0.39/0.75 (step @p527 :rule refl :args (@t285)) % 0.39/0.75 (step @p528 :rule symm :premises (@p634)) % 0.39/0.75 (step @p529 :rule cong :premises (@p528 @p527) :args (@t393)) % 0.39/0.75 (step @p530 :rule trans :premises (@p529 @p526)) % 0.39/0.75 (step @p531 :rule true_elim :premises (@p530)) % 0.39/0.75 (step-pop @p638 :rule scope :premises (@p531)) % 0.39/0.75 (step-pop @p639 :rule scope :premises (@p638)) % 0.39/0.75 (step @p532 :rule process_scope :premises (@p639) :args (@t393)) % 0.39/0.75 (step @p535 :rule and_intro :premises (@p375 @p634)) % 0.39/0.75 (step @p536 :rule modus_ponens :premises (@p535 @p532)) % 0.39/0.75 (step-pop @p640 :rule scope :premises (@p536)) % 0.39/0.75 (step-pop @p641 :rule scope :premises (@p640)) % 0.39/0.75 (step @p537 :rule process_scope :premises (@p641) :args (@t393)) % 0.39/0.75 (step @p540 :rule implies_elim :premises (@p537)) % 0.39/0.75 (step @p541 :rule cnf_and_neg :args (@t401)) % 0.39/0.75 (step @p542 :rule resolution :premises (@p541 @p540) :args (true @t401)) % 0.39/0.75 (step @p543 :rule cnf_or_neg :args (@t316 6)) % 0.39/0.75 (step @p544 :rule chain_m_resolution :premises (@p543 @p368) :args (@t402 @t323 @t324)) % 0.39/0.75 (step @p545 :rule refl :args (@t403)) % 0.39/0.75 (step @p546 :rule bool-double-not-elim :args (@t287)) % 0.39/0.75 (step @p547 :rule refl :args (@t299)) % 0.39/0.75 (step @p548 :rule nary_cong :premises (@p547 @p546 @p545) :args ((or @t299 (not @t402) @t403))) % 0.39/0.75 (assume-push @p642 @t298) % 0.39/0.75 (assume-push @p643 @t402) % 0.39/0.75 (assume-push @p644 @t402) % 0.39/0.75 (assume-push @p645 @t298) % 0.39/0.75 (step @p553 :rule false_intro :premises (@p544)) % 0.39/0.75 (step @p527 :rule refl :args (@t285)) % 0.39/0.75 (step @p554 :rule symm :premises (@p642)) % 0.39/0.75 (step @p555 :rule cong :premises (@p554 @p527) :args (@t398)) % 0.39/0.75 (step @p556 :rule trans :premises (@p555 @p553)) % 0.39/0.75 (step @p557 :rule false_elim :premises (@p556)) % 0.39/0.75 (step-pop @p646 :rule scope :premises (@p557)) % 0.39/0.75 (step-pop @p647 :rule scope :premises (@p646)) % 0.39/0.75 (step @p558 :rule process_scope :premises (@p647) :args (@t403)) % 0.39/0.75 (step @p561 :rule and_intro :premises (@p544 @p642)) % 0.39/0.75 (step @p562 :rule modus_ponens :premises (@p561 @p558)) % 0.39/0.75 (step-pop @p648 :rule scope :premises (@p562)) % 0.39/0.75 (step-pop @p649 :rule scope :premises (@p648)) % 0.39/0.75 (step @p563 :rule process_scope :premises (@p649) :args (@t403)) % 0.39/0.75 (step @p566 :rule implies_elim :premises (@p563)) % 0.39/0.75 (step @p567 :rule cnf_and_neg :args (@t404)) % 0.39/0.75 (step @p568 :rule resolution :premises (@p567 @p566) :args (true @t404)) % 0.39/0.75 (step @p569 :rule eq_resolve :premises (@p568 @p548)) % 0.39/0.75 (step @p570 :rule cnf_equiv_pos1 :args (@t394)) % 0.39/0.75 (step @p571 :rule reordering :premises (@p570) :args ((or @t392 (not @t393) (not @t394)))) % 0.39/0.75 (step @p572 :rule cnf_equiv_pos2 :args (@t399)) % 0.39/0.75 (step @p573 :rule reordering :premises (@p572) :args ((or @t398 (not @t397) (not @t399)))) % 0.39/0.75 (step @p574 :rule cnf_or_neg :args (@t397 0)) % 0.39/0.75 (step @p575 :rule cnf_or_neg :args (@t397 1)) % 0.39/0.75 (step @p576 :rule cnf_or_pos :args (@t392)) % 0.39/0.75 (step @p577 :rule reordering :premises (@p576) :args ((or @t391 @t390 (not @t392)))) % 0.39/0.75 (step @p578 :rule chain_m_resolution :premises (@p577 @p575 @p574 @p573 @p571 @p569 @p544 @p542 @p375 @p521 @p519 @p385 @p518 @p516 @p385 @p476 @p474 @p17 @p453 @p448 @p443 @p438) :args (@t307 (@list true true true false true true false false false false false false false false false false false false false false false) (@list @t391 @t390 @t397 @t392 @t398 @t287 @t393 @t289 @t399 @t400 @t291 @t394 @t396 @t291 @t361 @t362 @t45 @t298 @t301 @t303 @t305))) % 0.39/0.75 (step @p579 :rule cnf_or_neg :args (@t316 3)) % 0.39/0.75 (step @p580 :rule chain_m_resolution :premises (@p579 @p368) :args ((not @t308) @t323 @t324)) % 0.39/0.75 (step @p581 :rule cnf_and_neg :args (@t308)) % 0.39/0.75 (step @p582 :rule chain_m_resolution :premises (@p581 @p580 @p578) :args ((not @t293) @t405 (@list @t308 @t307))) % 0.39/0.75 (step @p583 :rule bool-double-not-elim :args (@t309)) % 0.39/0.75 (step @p584 :rule refl :args (@t406)) % 0.39/0.75 (step @p585 :rule nary_cong :premises (@p584 @p411 @p583) :args ((or @t406 @t293 (not @t347)))) % 0.39/0.75 (step @p586 :rule cnf_equiv_pos2 :args (@t348)) % 0.39/0.75 (step @p587 :rule eq_resolve :premises (@p586 @p585)) % 0.39/0.75 (step @p588 :rule reordering :premises (@p587) :args ((or @t309 @t293 @t406))) % 0.39/0.75 (step @p589 :rule chain_m_resolution :premises (@p588 @p582 @p432) :args (@t309 @t405 (@list @t293 @t348))) % 0.39/0.75 (step @p590 :rule cnf_or_neg :args (@t316 2)) % 0.39/0.75 (step @p591 :rule chain_m_resolution :premises (@p590 @p368) :args ((not @t312) @t323 @t324)) % 0.39/0.75 (step @p592 :rule refl :args (@t347)) % 0.39/0.75 (step @p593 :rule bool-double-not-elim :args (@t310)) % 0.39/0.75 (step @p594 :rule refl :args (@t312)) % 0.39/0.75 (step @p595 :rule nary_cong :premises (@p594 @p593 @p592) :args ((or @t312 (not @t311) @t347))) % 0.39/0.75 (step @p596 :rule cnf_and_neg :args (@t312)) % 0.39/0.75 (step @p597 :rule eq_resolve :premises (@p596 @p595)) % 0.39/0.75 (step @p598 :rule reordering :premises (@p597) :args ((or @t310 @t312 @t347))) % 0.39/0.75 (step @p599 :rule chain_m_resolution :premises (@p598 @p591 @p589) :args (@t310 @t405 (@list @t312 @t309))) % 0.39/0.75 (step @p600 :rule bool-double-not-elim :args (@t325)) % 0.39/0.75 (step @p601 :rule refl :args (@t311)) % 0.39/0.75 (step @p602 :rule nary_cong :premises (@p348 @p601 @p600) :args ((or @t290 @t311 (not @t326)))) % 0.39/0.75 (assume-push @p650 @t326) % 0.39/0.75 (assume-push @p651 @t310) % 0.39/0.75 (assume-push @p652 @t289) % 0.39/0.75 (step @p606 :rule evaluate :args ((= true false))) % 0.39/0.75 (step @p607 :rule false_intro :premises (@p388)) % 0.39/0.75 (step @p527 :rule refl :args (@t285)) % 0.39/0.75 (step @p608 :rule symm :premises (@p651)) % 0.39/0.75 (step @p609 :rule cong :premises (@p608 @p527) :args (@t289)) % 0.39/0.75 (step @p526 :rule true_intro :premises (@p375)) % 0.39/0.75 (step @p610 :rule symm :premises (@p526)) % 0.39/0.75 (step @p611 :rule trans :premises (@p610 @p609 @p607)) % 0.39/0.75 (step @p612 false :rule eq_resolve :premises (@p611 @p606)) % 0.39/0.75 (step-pop @p653 :rule scope :premises (@p612)) % 0.39/0.75 (step-pop @p654 :rule scope :premises (@p653)) % 0.39/0.75 (step-pop @p655 :rule scope :premises (@p654)) % 0.39/0.75 (step @p613 :rule process_scope :premises (@p655) :args (false)) % 0.39/0.75 (assume-push @p656 @t289) % 0.39/0.75 (assume-push @p657 @t310) % 0.39/0.75 (assume-push @p658 @t326) % 0.39/0.75 (step @p620 :rule and_intro :premises (@p388 @p657 @p375)) % 0.39/0.75 (step-pop @p659 :rule scope :premises (@p620)) % 0.39/0.75 (step-pop @p660 :rule scope :premises (@p659)) % 0.39/0.75 (step-pop @p661 :rule scope :premises (@p660)) % 0.39/0.75 (step @p621 :rule process_scope :premises (@p661) :args (@t407)) % 0.39/0.75 (step @p625 :rule implies_elim :premises (@p621)) % 0.39/0.75 (step @p626 :rule resolution :premises (@p625 @p613) :args (true @t407)) % 0.39/0.75 (step @p627 :rule not_and :premises (@p626)) % 0.39/0.75 (step @p628 :rule eq_resolve :premises (@p627 @p602)) % 0.39/0.75 (step @p629 false :rule chain_m_resolution :premises (@p628 @p599 @p388 @p375) :args (false (@list false true false) (@list @t310 @t325 @t289))) % 0.39/0.75 ) % 0.39/0.75 % SZS output end Proof % 0.39/0.75 % cvc5 exiting %------------------------------------------------------------------------------