%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC011+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:57:41 AM UTC 2026 % Result : Theorem 0.35s 0.71s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC011+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:09:15 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.71 % SZS status Theorem % 0.35/0.71 % SZS output start Proof % 0.35/0.71 ( % 0.35/0.71 (declare-sort $$unsorted 0) % 0.35/0.71 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.nil $$unsorted) % 0.35/0.71 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.35/0.71 (define @t1 () (@var "V" $$unsorted)) % 0.35/0.71 (define @t2 () (@var "U" $$unsorted)) % 0.35/0.71 (define @t3 () (= @t2 @t1)) % 0.35/0.71 (define @t4 () (not @t3)) % 0.35/0.71 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.35/0.71 (define @t6 () (tptp.ssItem @t1)) % 0.35/0.71 (define @t7 () (@list @t1)) % 0.35/0.71 (define @t8 () (tptp.ssItem @t2)) % 0.35/0.71 (define @t9 () (@list @t2)) % 0.35/0.71 (define @t10 () (@var "X" $$unsorted)) % 0.35/0.71 (define @t11 () (tptp.cons @t1 @t10)) % 0.35/0.71 (define @t12 () (@var "W" $$unsorted)) % 0.35/0.71 (define @t13 () (tptp.ssList @t10)) % 0.35/0.71 (define @t14 () (@list @t10)) % 0.35/0.71 (define @t15 () (tptp.ssList @t12)) % 0.35/0.71 (define @t16 () (@list @t12)) % 0.35/0.71 (define @t17 () (tptp.ssList @t2)) % 0.35/0.71 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.35/0.71 (define @t19 () (tptp.app @t1 @t12)) % 0.35/0.71 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.35/0.71 (define @t21 () (tptp.ssList @t1)) % 0.35/0.71 (define @t22 () (tptp.app @t12 @t1)) % 0.35/0.71 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.35/0.71 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.35/0.71 (define @t25 () (tptp.leq @t12 @t1)) % 0.35/0.71 (define @t26 () (tptp.leq @t1 @t12)) % 0.35/0.71 (define @t27 () (@var "Z" $$unsorted)) % 0.35/0.71 (define @t28 () (@var "Y" $$unsorted)) % 0.35/0.71 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.35/0.71 (define @t30 () (tptp.ssList @t27)) % 0.35/0.71 (define @t31 () (@list @t27)) % 0.35/0.71 (define @t32 () (tptp.ssList @t28)) % 0.35/0.71 (define @t33 () (@list @t28)) % 0.35/0.71 (define @t34 () (tptp.ssItem @t12)) % 0.35/0.71 (define @t35 () (tptp.lt @t1 @t12)) % 0.35/0.71 (define @t36 () (= @t1 @t12)) % 0.35/0.71 (define @t37 () (tptp.cons @t1 @t2)) % 0.35/0.71 (define @t38 () (= @t1 @t2)) % 0.35/0.71 (define @t39 () (tptp.cons @t12 @t1)) % 0.35/0.71 (define @t40 () (= tptp.nil @t2)) % 0.35/0.71 (define @t41 () (tptp.hd @t2)) % 0.35/0.71 (define @t42 () (not @t40)) % 0.35/0.71 (define @t43 () (tptp.tl @t2)) % 0.35/0.71 (define @t44 () (tptp.app @t2 @t1)) % 0.35/0.71 (define @t45 () (tptp.app @t1 @t2)) % 0.35/0.71 (define @t46 () (tptp.leq @t1 @t2)) % 0.35/0.71 (define @t47 () (tptp.leq @t2 @t1)) % 0.35/0.71 (define @t48 () (tptp.geq @t2 @t1)) % 0.35/0.71 (define @t49 () (tptp.lt @t1 @t2)) % 0.35/0.71 (define @t50 () (tptp.lt @t2 @t1)) % 0.35/0.71 (define @t51 () (tptp.lt @t2 @t12)) % 0.35/0.71 (define @t52 () (tptp.gt @t2 @t1)) % 0.35/0.71 (define @t53 () (tptp.memberP @t12 @t2)) % 0.35/0.71 (define @t54 () (tptp.app @t12 @t2)) % 0.35/0.71 (define @t55 () (tptp.cons @t2 tptp.nil)) % 0.35/0.71 (define @t56 () (tptp.hd @t1)) % 0.35/0.71 (define @t57 () (= tptp.nil @t1)) % 0.35/0.71 (define @t58 () (not @t57)) % 0.35/0.71 (define @t59 () (tptp.cons @t2 @t1)) % 0.35/0.71 (define @t60 () (= @t12 @t2)) % 0.35/0.71 (define @t61 () (tptp.neq @t1 tptp.nil)) % 0.35/0.71 (define @t62 () (not @t61)) % 0.35/0.71 (define @t63 () (or @t62 (tptp.neq @t10 tptp.nil))) % 0.35/0.71 (define @t64 () (@var "X4" $$unsorted)) % 0.35/0.71 (define @t65 () (@var "X3" $$unsorted)) % 0.35/0.71 (define @t66 () (tptp.app @t65 @t64)) % 0.35/0.71 (define @t67 () (not (= @t66 @t12))) % 0.35/0.71 (define @t68 () (@var "X2" $$unsorted)) % 0.35/0.71 (define @t69 () (tptp.cons @t68 tptp.nil)) % 0.35/0.71 (define @t70 () (tptp.app @t65 @t69)) % 0.35/0.71 (define @t71 () (tptp.app @t70 @t64)) % 0.35/0.71 (define @t72 () (not (= @t71 @t10))) % 0.35/0.71 (define @t73 () (or @t72 @t67)) % 0.35/0.71 (define @t74 () (tptp.ssList @t64)) % 0.35/0.71 (define @t75 () (=> @t74 @t73)) % 0.35/0.71 (define @t76 () (@list @t64)) % 0.35/0.71 (define @t77 () (forall @t76 @t75)) % 0.35/0.71 (define @t78 () (tptp.ssList @t65)) % 0.35/0.71 (define @t79 () (=> @t78 @t77)) % 0.35/0.71 (define @t80 () (@list @t65)) % 0.35/0.71 (define @t81 () (forall @t80 @t79)) % 0.35/0.71 (define @t82 () (tptp.ssItem @t68)) % 0.35/0.71 (define @t83 () (=> @t82 @t81)) % 0.35/0.71 (define @t84 () (@list @t68)) % 0.35/0.71 (define @t85 () (forall @t84 @t83)) % 0.35/0.71 (define @t86 () (@var "X1" $$unsorted)) % 0.35/0.71 (define @t87 () (tptp.app @t27 @t86)) % 0.35/0.71 (define @t88 () (tptp.cons @t28 tptp.nil)) % 0.35/0.71 (define @t89 () (tptp.app @t27 @t88)) % 0.35/0.71 (define @t90 () (tptp.app @t89 @t86)) % 0.35/0.71 (define @t91 () (tptp.ssList @t86)) % 0.35/0.71 (define @t92 () (and @t91 (= @t90 @t1) (= @t87 @t2))) % 0.35/0.71 (define @t93 () (@list @t86)) % 0.35/0.71 (define @t94 () (exists @t93 @t92)) % 0.35/0.71 (define @t95 () (and @t30 @t94)) % 0.35/0.71 (define @t96 () (exists @t31 @t95)) % 0.35/0.71 (define @t97 () (tptp.ssItem @t28)) % 0.35/0.71 (define @t98 () (and @t97 @t96)) % 0.35/0.71 (define @t99 () (exists @t33 @t98)) % 0.35/0.71 (define @t100 () (or @t62 @t99 @t85)) % 0.35/0.71 (define @t101 () (and @t100 @t63)) % 0.35/0.71 (define @t102 () (not (= @t2 @t12))) % 0.35/0.71 (define @t103 () (not (= @t1 @t10))) % 0.35/0.71 (define @t104 () (or @t103 @t102 @t101)) % 0.35/0.71 (define @t105 () (=> @t13 @t104)) % 0.35/0.71 (define @t106 () (forall @t14 @t105)) % 0.35/0.71 (define @t107 () (=> @t15 @t106)) % 0.35/0.71 (define @t108 () (forall @t16 @t107)) % 0.35/0.71 (define @t109 () (=> @t21 @t108)) % 0.35/0.71 (define @t110 () (forall @t7 @t109)) % 0.35/0.71 (define @t111 () (=> @t17 @t110)) % 0.35/0.71 (define @t112 () (forall @t9 @t111)) % 0.35/0.71 (define @t113 () (not @t112)) % 0.35/0.71 (define @t114 () (@var "BOUND_VARIABLE_11252" $$unsorted)) % 0.35/0.71 (define @t115 () (not (tptp.ssList @t114))) % 0.35/0.71 (define @t116 () (@var "BOUND_VARIABLE_11250" $$unsorted)) % 0.35/0.71 (define @t117 () (not (tptp.ssList @t116))) % 0.35/0.71 (define @t118 () (@var "BOUND_VARIABLE_11248" $$unsorted)) % 0.35/0.71 (define @t119 () (not (tptp.ssItem @t118))) % 0.35/0.71 (define @t120 () (tptp.app @t116 @t114)) % 0.35/0.71 (define @t121 () (@var "BOUND_VARIABLE_11003" $$unsorted)) % 0.35/0.71 (define @t122 () (@var "BOUND_VARIABLE_11001" $$unsorted)) % 0.35/0.71 (define @t123 () (tptp.app @t122 @t121)) % 0.35/0.71 (define @t124 () (tptp.app (tptp.app @t116 (tptp.cons @t118 tptp.nil)) @t114)) % 0.35/0.71 (define @t125 () (tptp.app (tptp.app @t122 @t88) @t121)) % 0.35/0.71 (define @t126 () (not (= @t125 @t124))) % 0.35/0.71 (define @t127 () (not (tptp.ssList @t121))) % 0.35/0.71 (define @t128 () (not (tptp.ssList @t122))) % 0.35/0.71 (define @t129 () (not @t97)) % 0.35/0.71 (define @t130 () (@list @t28 @t122 @t121)) % 0.35/0.71 (define @t131 () (not (forall @t130 (or @t129 @t128 @t127 @t126 (not (= @t123 @t120)))))) % 0.35/0.71 (define @t132 () (not (tptp.neq @t124 tptp.nil))) % 0.35/0.71 (define @t133 () (not (tptp.ssList @t124))) % 0.35/0.71 (define @t134 () (not (tptp.ssList @t120))) % 0.35/0.71 (define @t135 () (or @t134 @t133 @t132 @t131 @t119 @t117 @t115)) % 0.35/0.71 (define @t136 () (not (= @t120 @t120))) % 0.35/0.71 (define @t137 () (not (= @t120 @t123))) % 0.35/0.71 (define @t138 () (or @t129 @t128 @t127 @t126 @t137)) % 0.35/0.71 (define @t139 () (forall @t130 @t138)) % 0.35/0.71 (define @t140 () (not @t139)) % 0.35/0.71 (define @t141 () (or @t134 @t133 @t132 @t140 @t119 @t117 @t115 @t136)) % 0.35/0.71 (define @t142 () (@list @t118 @t116 @t114)) % 0.35/0.71 (define @t143 () (not (= @t2 @t120))) % 0.35/0.71 (define @t144 () (not (= @t2 @t123))) % 0.35/0.71 (define @t145 () (not (forall @t130 (or @t129 @t128 @t127 @t126 @t144)))) % 0.35/0.71 (define @t146 () (not @t17)) % 0.35/0.71 (define @t147 () (or @t143 @t146 @t133 @t132 @t145 @t119 @t117 @t115 @t143)) % 0.35/0.71 (define @t148 () (or @t146 @t133 @t132 @t145 @t119 @t117 @t115 @t143)) % 0.35/0.71 (define @t149 () (forall @t9 @t148)) % 0.35/0.71 (define @t150 () (forall @t142 @t149)) % 0.35/0.71 (define @t151 () (forall (@list @t118 @t116 @t114 @t2) @t148)) % 0.35/0.71 (define @t152 () (@list @t2 @t118 @t116 @t114)) % 0.35/0.71 (define @t153 () (or @t133 @t132 @t145 @t119 @t117 @t115 @t143)) % 0.35/0.71 (define @t154 () (or @t146 @t153)) % 0.35/0.71 (define @t155 () (forall @t152 @t154)) % 0.35/0.71 (define @t156 () (forall @t142 @t154)) % 0.35/0.71 (define @t157 () (forall @t142 @t153)) % 0.35/0.71 (define @t158 () (@var "BOUND_VARIABLE_11200" $$unsorted)) % 0.35/0.71 (define @t159 () (@var "BOUND_VARIABLE_11198" $$unsorted)) % 0.35/0.71 (define @t160 () (@var "BOUND_VARIABLE_11196" $$unsorted)) % 0.35/0.71 (define @t161 () (@list @t160 @t159 @t158)) % 0.35/0.71 (define @t162 () (or @t146 @t157)) % 0.35/0.71 (define @t163 () (not (= @t2 (tptp.app @t159 @t158)))) % 0.35/0.71 (define @t164 () (not (tptp.ssList @t158))) % 0.35/0.71 (define @t165 () (not (tptp.ssList @t159))) % 0.35/0.71 (define @t166 () (not (tptp.ssItem @t160))) % 0.35/0.71 (define @t167 () (tptp.app (tptp.app @t159 (tptp.cons @t160 tptp.nil)) @t158)) % 0.35/0.71 (define @t168 () (not (forall @t130 (or @t129 @t128 @t127 (not (= @t125 @t167)) @t144)))) % 0.35/0.71 (define @t169 () (not (tptp.neq @t167 tptp.nil))) % 0.35/0.71 (define @t170 () (not (tptp.ssList @t167))) % 0.35/0.71 (define @t171 () (or @t170 @t169 @t168 @t166 @t165 @t164 @t163)) % 0.35/0.71 (define @t172 () (@list @t160 @t159 @t158)) % 0.35/0.71 (define @t173 () (or @t146 (forall @t172 @t171))) % 0.35/0.71 (define @t174 () (not (= @t167 @t167))) % 0.35/0.71 (define @t175 () (not (= @t167 @t125))) % 0.35/0.71 (define @t176 () (or @t129 @t128 @t127 @t175 @t144)) % 0.35/0.71 (define @t177 () (forall @t130 @t176)) % 0.35/0.71 (define @t178 () (not @t177)) % 0.35/0.71 (define @t179 () (or @t170 @t169 @t178 @t166 @t165 @t164 @t174 @t163)) % 0.35/0.71 (define @t180 () (not (= @t1 @t167))) % 0.35/0.71 (define @t181 () (not (= @t1 @t125))) % 0.35/0.71 (define @t182 () (or @t129 @t128 @t127 @t181 @t144)) % 0.35/0.71 (define @t183 () (not (forall @t130 @t182))) % 0.35/0.71 (define @t184 () (not @t21)) % 0.35/0.71 (define @t185 () (or @t180 @t184 @t62 @t183 @t166 @t165 @t164 @t180 @t163)) % 0.35/0.71 (define @t186 () (or @t184 @t62 @t183 @t166 @t165 @t164 @t180 @t163)) % 0.35/0.71 (define @t187 () (forall @t7 @t186)) % 0.35/0.71 (define @t188 () (forall @t172 @t187)) % 0.35/0.71 (define @t189 () (forall (@list @t160 @t159 @t158 @t1) @t186)) % 0.35/0.71 (define @t190 () (@list @t1 @t160 @t159 @t158)) % 0.35/0.71 (define @t191 () (or @t166 @t165 @t164 @t180 @t163)) % 0.35/0.71 (define @t192 () (or @t184 @t62 @t183 @t191)) % 0.35/0.71 (define @t193 () (forall @t190 @t192)) % 0.35/0.71 (define @t194 () (forall @t172 @t192)) % 0.35/0.71 (define @t195 () (forall @t172 @t191)) % 0.35/0.71 (define @t196 () (@var "BOUND_VARIABLE_11153" $$unsorted)) % 0.35/0.71 (define @t197 () (@var "BOUND_VARIABLE_11151" $$unsorted)) % 0.35/0.71 (define @t198 () (@var "BOUND_VARIABLE_11149" $$unsorted)) % 0.35/0.71 (define @t199 () (@list @t198 @t197 @t196)) % 0.35/0.71 (define @t200 () (or @t184 @t62 @t183 @t195)) % 0.35/0.71 (define @t201 () (tptp.app @t197 @t196)) % 0.35/0.71 (define @t202 () (not (= @t2 @t201))) % 0.35/0.71 (define @t203 () (not (= @t1 (tptp.app (tptp.app @t197 (tptp.cons @t198 tptp.nil)) @t196)))) % 0.35/0.71 (define @t204 () (not (tptp.ssList @t196))) % 0.35/0.71 (define @t205 () (not (tptp.ssList @t197))) % 0.35/0.71 (define @t206 () (not (tptp.ssItem @t198))) % 0.35/0.71 (define @t207 () (or @t206 @t205 @t204 @t203 @t202)) % 0.35/0.71 (define @t208 () (@list @t198 @t197 @t196)) % 0.35/0.71 (define @t209 () (forall @t208 @t207)) % 0.35/0.71 (define @t210 () (or @t184 @t62 @t183 @t209)) % 0.35/0.71 (define @t211 () (forall @t7 @t210)) % 0.35/0.71 (define @t212 () (or @t146 @t211)) % 0.35/0.71 (define @t213 () (or @t146 @t210)) % 0.35/0.71 (define @t214 () (or @t184 @t62 @t183 @t146 @t209)) % 0.35/0.71 (define @t215 () (or @t146 @t209)) % 0.35/0.71 (define @t216 () (or @t146 @t207)) % 0.35/0.71 (define @t217 () (or @t146 @t206 @t205 @t204 @t203 @t202)) % 0.35/0.71 (define @t218 () (not (= @t2 @t2))) % 0.35/0.71 (define @t219 () (or @t146 @t218 @t206 @t205 @t204 @t203 @t202)) % 0.35/0.71 (define @t220 () (not (= @t12 @t201))) % 0.35/0.71 (define @t221 () (not @t15)) % 0.35/0.71 (define @t222 () (or @t102 @t221 @t102 @t206 @t205 @t204 @t203 @t220)) % 0.35/0.71 (define @t223 () (or @t221 @t102 @t206 @t205 @t204 @t203 @t220)) % 0.35/0.71 (define @t224 () (forall @t16 @t223)) % 0.35/0.71 (define @t225 () (forall @t208 @t224)) % 0.35/0.71 (define @t226 () (forall (@list @t198 @t197 @t196 @t12) @t223)) % 0.35/0.71 (define @t227 () (@list @t12 @t198 @t197 @t196)) % 0.35/0.71 (define @t228 () (or @t206 @t205 @t204 @t203 @t220)) % 0.35/0.71 (define @t229 () (or @t221 @t102 @t228)) % 0.35/0.71 (define @t230 () (forall @t227 @t229)) % 0.35/0.71 (define @t231 () (forall @t208 @t229)) % 0.35/0.71 (define @t232 () (forall @t208 @t228)) % 0.35/0.71 (define @t233 () (@var "BOUND_VARIABLE_11094" $$unsorted)) % 0.35/0.71 (define @t234 () (@var "BOUND_VARIABLE_11092" $$unsorted)) % 0.35/0.71 (define @t235 () (@var "BOUND_VARIABLE_11090" $$unsorted)) % 0.35/0.71 (define @t236 () (@list @t235 @t234 @t233)) % 0.35/0.71 (define @t237 () (or @t221 @t102 @t232)) % 0.35/0.71 (define @t238 () (not (= @t12 (tptp.app @t234 @t233)))) % 0.35/0.71 (define @t239 () (tptp.app (tptp.app @t234 (tptp.cons @t235 tptp.nil)) @t233)) % 0.35/0.71 (define @t240 () (not (= @t1 @t239))) % 0.35/0.71 (define @t241 () (not (tptp.ssList @t233))) % 0.35/0.71 (define @t242 () (not (tptp.ssList @t234))) % 0.35/0.71 (define @t243 () (not (tptp.ssItem @t235))) % 0.35/0.71 (define @t244 () (or @t243 @t242 @t241 @t240 @t238)) % 0.35/0.71 (define @t245 () (@list @t235 @t234 @t233)) % 0.35/0.71 (define @t246 () (forall @t245 @t244)) % 0.35/0.71 (define @t247 () (or @t221 @t102 @t246)) % 0.35/0.71 (define @t248 () (forall @t16 @t247)) % 0.35/0.71 (define @t249 () (or @t184 @t62 @t183 @t248)) % 0.35/0.71 (define @t250 () (or @t184 @t62 @t183 @t247)) % 0.35/0.71 (define @t251 () (or @t221 @t102 @t184 @t62 @t183 @t246)) % 0.35/0.71 (define @t252 () (or @t102 @t184 @t62 @t183 @t246)) % 0.35/0.71 (define @t253 () (or @t184 @t62 @t183 @t246)) % 0.35/0.71 (define @t254 () (or @t184 @t62 @t183 @t244)) % 0.35/0.71 (define @t255 () (or @t184 @t62 @t183 @t243 @t242 @t241 @t240 @t238)) % 0.35/0.71 (define @t256 () (or @t62 @t183 @t243 @t242 @t241 @t240 @t238)) % 0.35/0.71 (define @t257 () (and @t256 true)) % 0.35/0.71 (define @t258 () (or @t184 @t257)) % 0.35/0.71 (define @t259 () (and @t256 (or @t62 @t61))) % 0.35/0.71 (define @t260 () (or @t184 @t259)) % 0.35/0.71 (define @t261 () (not (= @t1 @t1))) % 0.35/0.71 (define @t262 () (or @t184 @t261 @t259)) % 0.35/0.71 (define @t263 () (not (= @t10 @t239))) % 0.35/0.71 (define @t264 () (or @t62 @t183 @t243 @t242 @t241 @t263 @t238)) % 0.35/0.71 (define @t265 () (and @t264 @t63)) % 0.35/0.71 (define @t266 () (not @t13)) % 0.35/0.71 (define @t267 () (or @t103 @t266 @t103 @t265)) % 0.35/0.71 (define @t268 () (or @t266 @t103 @t265)) % 0.35/0.71 (define @t269 () (forall @t14 @t268)) % 0.35/0.71 (define @t270 () (forall @t245 @t269)) % 0.35/0.71 (define @t271 () (forall (@list @t235 @t234 @t233 @t10) @t268)) % 0.35/0.71 (define @t272 () (@list @t10 @t235 @t234 @t233)) % 0.35/0.71 (define @t273 () (or @t243 @t242 @t241 @t263 @t238)) % 0.35/0.71 (define @t274 () (or @t62 @t183 @t273)) % 0.35/0.71 (define @t275 () (and @t274 @t63)) % 0.35/0.71 (define @t276 () (or @t266 @t103 @t275)) % 0.35/0.71 (define @t277 () (forall @t272 @t276)) % 0.35/0.71 (define @t278 () (forall @t245 @t276)) % 0.35/0.71 (define @t279 () (forall @t245 @t63)) % 0.35/0.71 (define @t280 () (forall @t245 @t273)) % 0.35/0.71 (define @t281 () (@var "BOUND_VARIABLE_11061" $$unsorted)) % 0.35/0.71 (define @t282 () (@var "BOUND_VARIABLE_11059" $$unsorted)) % 0.35/0.71 (define @t283 () (or @t62 @t183 @t280)) % 0.35/0.71 (define @t284 () (forall @t245 @t274)) % 0.35/0.71 (define @t285 () (and @t284 @t279)) % 0.35/0.71 (define @t286 () (forall @t245 @t275)) % 0.35/0.71 (define @t287 () (or @t266 @t103 @t286)) % 0.35/0.71 (define @t288 () (not (= @t12 (tptp.app @t282 @t281)))) % 0.35/0.71 (define @t289 () (not (= @t10 (tptp.app (tptp.app @t282 @t69) @t281)))) % 0.35/0.71 (define @t290 () (not (tptp.ssList @t281))) % 0.35/0.71 (define @t291 () (not (tptp.ssList @t282))) % 0.35/0.71 (define @t292 () (not @t82)) % 0.35/0.71 (define @t293 () (or @t292 @t291 @t290 @t289 @t288)) % 0.35/0.71 (define @t294 () (@list @t68 @t282 @t281)) % 0.35/0.71 (define @t295 () (and (or @t62 @t183 (forall @t294 @t293)) @t63)) % 0.35/0.71 (define @t296 () (or @t266 @t103 @t295)) % 0.35/0.71 (define @t297 () (forall @t14 @t296)) % 0.35/0.71 (define @t298 () (or @t102 @t297)) % 0.35/0.71 (define @t299 () (or @t102 @t296)) % 0.35/0.71 (define @t300 () (or @t266 @t103 @t102 @t295)) % 0.35/0.71 (define @t301 () (or @t103 @t102 @t295)) % 0.35/0.71 (define @t302 () (or @t291 @t290 @t289 @t288)) % 0.35/0.71 (define @t303 () (or @t292 @t302)) % 0.35/0.71 (define @t304 () (forall @t294 @t303)) % 0.35/0.71 (define @t305 () (@list @t282 @t281)) % 0.35/0.71 (define @t306 () (forall @t305 @t303)) % 0.35/0.71 (define @t307 () (forall @t305 @t302)) % 0.35/0.71 (define @t308 () (@var "BOUND_VARIABLE_11038" $$unsorted)) % 0.35/0.71 (define @t309 () (or @t292 @t307)) % 0.35/0.71 (define @t310 () (not (= @t12 (tptp.app @t65 @t308)))) % 0.35/0.71 (define @t311 () (not (= @t10 (tptp.app @t70 @t308)))) % 0.35/0.71 (define @t312 () (not (tptp.ssList @t308))) % 0.35/0.71 (define @t313 () (not @t78)) % 0.35/0.71 (define @t314 () (or @t313 @t312 @t311 @t310)) % 0.35/0.71 (define @t315 () (@list @t65 @t308)) % 0.35/0.71 (define @t316 () (forall @t315 @t314)) % 0.35/0.71 (define @t317 () (or @t312 @t311 @t310)) % 0.35/0.71 (define @t318 () (or @t313 @t317)) % 0.35/0.71 (define @t319 () (forall @t315 @t318)) % 0.35/0.71 (define @t320 () (@list @t308)) % 0.35/0.71 (define @t321 () (forall @t320 @t318)) % 0.35/0.71 (define @t322 () (forall @t320 @t317)) % 0.35/0.71 (define @t323 () (or @t313 @t322)) % 0.35/0.71 (define @t324 () (not (= @t12 @t66))) % 0.35/0.71 (define @t325 () (not (= @t10 @t71))) % 0.35/0.71 (define @t326 () (not @t74)) % 0.35/0.71 (define @t327 () (or @t326 @t325 @t324)) % 0.35/0.71 (define @t328 () (forall @t76 @t327)) % 0.35/0.71 (define @t329 () (or @t325 @t324)) % 0.35/0.71 (define @t330 () (or @t128 @t127 @t181 @t144)) % 0.35/0.71 (define @t331 () (or @t129 @t330)) % 0.35/0.71 (define @t332 () (forall @t130 @t331)) % 0.35/0.71 (define @t333 () (@list @t122 @t121)) % 0.35/0.71 (define @t334 () (forall @t333 @t331)) % 0.35/0.71 (define @t335 () (forall @t333 @t330)) % 0.35/0.71 (define @t336 () (@var "BOUND_VARIABLE_10976" $$unsorted)) % 0.35/0.71 (define @t337 () (or @t129 @t335)) % 0.35/0.71 (define @t338 () (not (= @t2 (tptp.app @t27 @t336)))) % 0.35/0.71 (define @t339 () (not (= @t1 (tptp.app @t89 @t336)))) % 0.35/0.71 (define @t340 () (not (tptp.ssList @t336))) % 0.35/0.71 (define @t341 () (not @t30)) % 0.35/0.71 (define @t342 () (or @t341 @t340 @t339 @t338)) % 0.35/0.71 (define @t343 () (@list @t27 @t336)) % 0.35/0.71 (define @t344 () (forall @t343 @t342)) % 0.35/0.71 (define @t345 () (not @t344)) % 0.35/0.71 (define @t346 () (and @t97 @t345)) % 0.35/0.71 (define @t347 () (forall @t33 (not @t346))) % 0.35/0.71 (define @t348 () (not @t347)) % 0.35/0.71 (define @t349 () (or @t340 @t339 @t338)) % 0.35/0.71 (define @t350 () (or @t341 @t349)) % 0.35/0.71 (define @t351 () (forall @t343 @t350)) % 0.35/0.71 (define @t352 () (@list @t336)) % 0.35/0.71 (define @t353 () (forall @t352 @t350)) % 0.35/0.71 (define @t354 () (forall @t352 @t349)) % 0.35/0.71 (define @t355 () (or @t341 @t354)) % 0.35/0.71 (define @t356 () (= @t2 @t87)) % 0.35/0.71 (define @t357 () (not @t356)) % 0.35/0.71 (define @t358 () (= @t1 @t90)) % 0.35/0.71 (define @t359 () (not @t358)) % 0.35/0.71 (define @t360 () (not @t91)) % 0.35/0.71 (define @t361 () (or @t360 @t359 @t357)) % 0.35/0.71 (define @t362 () (forall @t93 @t361)) % 0.35/0.71 (define @t363 () (not @t362)) % 0.35/0.71 (define @t364 () (and @t30 @t363)) % 0.35/0.71 (define @t365 () (forall @t31 (not @t364))) % 0.35/0.71 (define @t366 () (not @t365)) % 0.35/0.71 (define @t367 () (and @t91 @t358 @t356)) % 0.35/0.71 (define @t368 () (forall @t93 (not @t367))) % 0.35/0.71 (define @t369 () (not @t368)) % 0.35/0.71 (define @t370 () (forall @t142 @t135)) % 0.35/0.71 (define @t371 () (@quantifiers_skolemize @t370 2)) % 0.35/0.71 (define @t372 () (@quantifiers_skolemize @t370 1)) % 0.35/0.71 (define @t373 () (tptp.app @t372 @t371)) % 0.35/0.71 (define @t374 () (@quantifiers_skolemize @t370 0)) % 0.35/0.71 (define @t375 () (tptp.app (tptp.app @t372 (tptp.cons @t374 tptp.nil)) @t371)) % 0.35/0.71 (define @t376 () (forall @t130 (or @t129 @t128 @t127 (not (= @t125 @t375)) (not (= @t123 @t373))))) % 0.35/0.71 (define @t377 () (tptp.ssList @t371)) % 0.35/0.71 (define @t378 () (not @t377)) % 0.35/0.71 (define @t379 () (tptp.ssList @t372)) % 0.35/0.71 (define @t380 () (not @t379)) % 0.35/0.71 (define @t381 () (tptp.ssItem @t374)) % 0.35/0.71 (define @t382 () (not @t381)) % 0.35/0.71 (define @t383 () (not @t376)) % 0.35/0.71 (define @t384 () (or (not (tptp.ssList @t373)) (not (tptp.ssList @t375)) (not (tptp.neq @t375 tptp.nil)) @t383 @t382 @t380 @t378)) % 0.35/0.71 (define @t385 () (@list true)) % 0.35/0.71 (define @t386 () (@list @t384)) % 0.35/0.71 (define @t387 () (or @t382 @t380 @t378)) % 0.35/0.71 (define @t388 () (not @t387)) % 0.35/0.71 (define @t389 () (not (= @t373 @t373))) % 0.35/0.71 (define @t390 () (not (= @t375 @t375))) % 0.35/0.71 (define @t391 () (or @t382 @t380 @t378 @t390 @t389)) % 0.35/0.71 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.35/0.71 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.35/0.71 (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))))))))))) % 0.35/0.71 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.35/0.71 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.35/0.71 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.35/0.71 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.35/0.71 (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))))))))))))))))) % 0.35/0.71 (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)))))))))))))))) % 0.35/0.71 (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))))))))))))))))) % 0.35/0.71 (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))))))))))))))) % 0.35/0.71 (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))))))))))))))) % 0.35/0.71 (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)))))))))))))))) % 0.35/0.71 (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))))))))))))) % 0.35/0.71 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.35/0.71 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.35/0.71 (assume @p17 (tptp.ssList tptp.nil)) % 0.35/0.71 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.35/0.71 (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) @t38))))))))))) % 0.35/0.71 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.35/0.71 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.35/0.71 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.35/0.71 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.35/0.71 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.35/0.71 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.35/0.71 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.35/0.71 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.35/0.71 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.35/0.71 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.35/0.71 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.35/0.71 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.35/0.71 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.35/0.71 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.35/0.71 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.35/0.71 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 0.35/0.71 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 0.35/0.71 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 0.35/0.71 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.35/0.71 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.35/0.71 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.35/0.71 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.35/0.71 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.35/0.71 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.35/0.71 (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)))))))))))) % 0.35/0.71 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.35/0.71 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 0.35/0.71 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.35/0.71 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.35/0.71 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0.35/0.71 (step @p485 :rule cong :premises (@p484 @p483) :args (@t111)) % 0.35/0.71 (step @p486 :rule cong :premises (@p485) :args (@t112)) % 0.35/0.71 (step @p487 :rule trans :premises (@p486 @p148)) % 0.35/0.71 (step @p488 :rule cong :premises (@p487) :args (@t113)) % 0.35/0.71 (step @p489 :rule eq_resolve :premises (@p96 @p488)) % 0.35/0.71 (step @p490 :rule skolemize :premises (@p489)) % 0.35/0.71 (step @p491 :rule bool-double-not-elim :args (@t376)) % 0.35/0.71 (step @p492 :rule refl :args (@t384)) % 0.35/0.71 (step @p493 :rule nary_cong :premises (@p492 @p491) :args ((or @t384 (not @t383)))) % 0.35/0.71 (step @p494 :rule cnf_or_neg :args (@t384 3)) % 0.35/0.71 (step @p495 :rule eq_resolve :premises (@p494 @p493)) % 0.35/0.71 (step @p496 :rule reordering :premises (@p495) :args ((or @t376 @t384))) % 0.35/0.71 (step @p497 :rule chain_m_resolution :premises (@p496 @p490) :args (@t376 @t385 @t386)) % 0.35/0.71 (step @p498 :rule bool-double-not-elim :args (@t377)) % 0.35/0.71 (step @p499 :rule nary_cong :premises (@p492 @p498) :args ((or @t384 (not @t378)))) % 0.35/0.71 (step @p500 :rule cnf_or_neg :args (@t384 6)) % 0.35/0.71 (step @p501 :rule eq_resolve :premises (@p500 @p499)) % 0.35/0.71 (step @p502 :rule reordering :premises (@p501) :args ((or @t377 @t384))) % 0.35/0.71 (step @p503 :rule chain_m_resolution :premises (@p502 @p490) :args (@t377 @t385 @t386)) % 0.35/0.71 (step @p504 :rule bool-double-not-elim :args (@t379)) % 0.35/0.71 (step @p505 :rule nary_cong :premises (@p492 @p504) :args ((or @t384 (not @t380)))) % 0.35/0.71 (step @p506 :rule cnf_or_neg :args (@t384 5)) % 0.35/0.71 (step @p507 :rule eq_resolve :premises (@p506 @p505)) % 0.35/0.71 (step @p508 :rule reordering :premises (@p507) :args ((or @t379 @t384))) % 0.35/0.71 (step @p509 :rule chain_m_resolution :premises (@p508 @p490) :args (@t379 @t385 @t386)) % 0.35/0.71 (step @p510 :rule bool-double-not-elim :args (@t381)) % 0.35/0.71 (step @p511 :rule nary_cong :premises (@p492 @p510) :args ((or @t384 (not @t382)))) % 0.35/0.71 (step @p512 :rule cnf_or_neg :args (@t384 4)) % 0.35/0.71 (step @p513 :rule eq_resolve :premises (@p512 @p511)) % 0.35/0.71 (step @p514 :rule reordering :premises (@p513) :args ((or @t381 @t384))) % 0.35/0.71 (step @p515 :rule chain_m_resolution :premises (@p514 @p490) :args (@t381 @t385 @t386)) % 0.35/0.71 (step @p516 :rule cnf_or_pos :args (@t387)) % 0.35/0.71 (step @p517 :rule reordering :premises (@p516) :args ((or @t382 @t380 @t378 @t388))) % 0.35/0.71 (step @p518 :rule chain_m_resolution :premises (@p517 @p515 @p509 @p503) :args (@t388 (@list false false false) (@list @t381 @t379 @t377))) % 0.35/0.71 (step @p519 :rule aci_norm :args ((= (or @t382 @t380 @t378 false false) @t387))) % 0.35/0.71 (step @p520 :rule eq-refl :args (@t373)) % 0.35/0.71 (step @p521 :rule cong :premises (@p520) :args (@t389)) % 0.35/0.71 (step @p522 :rule trans :premises (@p521 @p99)) % 0.35/0.71 (step @p523 :rule eq-refl :args (@t375)) % 0.35/0.71 (step @p524 :rule cong :premises (@p523) :args (@t390)) % 0.35/0.71 (step @p525 :rule trans :premises (@p524 @p99)) % 0.35/0.71 (step @p526 :rule refl :args (@t378)) % 0.35/0.71 (step @p527 :rule refl :args (@t380)) % 0.35/0.71 (step @p528 :rule refl :args (@t382)) % 0.35/0.71 (step @p529 :rule nary_cong :premises (@p528 @p527 @p526 @p525 @p522) :args (@t391)) % 0.35/0.71 (step @p530 :rule trans :premises (@p529 @p519)) % 0.35/0.71 (step @p531 :rule refl :args (@t376)) % 0.35/0.71 (step @p532 :rule cong :premises (@p531 @p530) :args ((=> @t376 @t391))) % 0.35/0.71 (assume-push @p540 @t376) % 0.35/0.71 (step @p534 :rule instantiate :premises (@p497) :args ((@list @t374 @t372 @t371))) % 0.35/0.71 (step-pop @p541 :rule scope :premises (@p534)) % 0.35/0.71 (step @p535 :rule process_scope :premises (@p541) :args (@t391)) % 0.35/0.71 (step @p537 :rule eq_resolve :premises (@p535 @p532)) % 0.35/0.71 (step @p538 :rule implies_elim :premises (@p537)) % 0.35/0.71 (step @p539 false :rule chain_m_resolution :premises (@p538 @p518 @p497) :args (false (@list true false) (@list @t387 @t376))) % 0.35/0.71 ) % 0.35/0.71 % SZS output end Proof % 0.35/0.71 % cvc5 exiting %------------------------------------------------------------------------------