%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC392+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 : n029.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 08:59:08 AM UTC 2026 % Result : Theorem 0.38s 0.98s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC392+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.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 19:45:47 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.98 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.98 % SZS status Theorem % 0.38/0.98 % SZS output start Proof % 0.38/0.98 ( % 0.38/0.98 (declare-sort $$unsorted 0) % 0.38/0.98 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.38/0.98 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.38/0.98 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.38/0.98 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.38/0.98 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.38/0.98 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.38/0.98 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.38/0.98 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.38/0.98 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.38/0.98 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.38/0.98 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.38/0.98 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.98 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.98 (declare-const tptp.nil $$unsorted) % 0.38/0.98 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.38/0.98 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.38/0.98 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.98 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.38/0.98 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.38/0.98 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.38/0.98 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.38/0.98 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.38/0.98 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.38/0.98 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.98 (define @t1 () (@var "V" $$unsorted)) % 0.38/0.98 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.98 (define @t3 () (= @t2 @t1)) % 0.38/0.98 (define @t4 () (not @t3)) % 0.38/0.98 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.38/0.98 (define @t6 () (tptp.ssItem @t1)) % 0.38/0.98 (define @t7 () (@list @t1)) % 0.38/0.98 (define @t8 () (tptp.ssItem @t2)) % 0.38/0.98 (define @t9 () (@list @t2)) % 0.38/0.98 (define @t10 () (@var "X" $$unsorted)) % 0.38/0.98 (define @t11 () (tptp.cons @t1 @t10)) % 0.38/0.98 (define @t12 () (@var "W" $$unsorted)) % 0.38/0.98 (define @t13 () (tptp.ssList @t10)) % 0.38/0.98 (define @t14 () (@list @t10)) % 0.38/0.98 (define @t15 () (tptp.ssList @t12)) % 0.38/0.98 (define @t16 () (@list @t12)) % 0.38/0.98 (define @t17 () (tptp.ssList @t2)) % 0.38/0.98 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.38/0.98 (define @t19 () (tptp.app @t1 @t12)) % 0.38/0.98 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.38/0.98 (define @t21 () (tptp.ssList @t1)) % 0.38/0.98 (define @t22 () (tptp.app @t12 @t1)) % 0.38/0.98 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.38/0.98 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.38/0.98 (define @t25 () (tptp.leq @t12 @t1)) % 0.38/0.98 (define @t26 () (tptp.leq @t1 @t12)) % 0.38/0.98 (define @t27 () (@var "Z" $$unsorted)) % 0.38/0.98 (define @t28 () (@var "Y" $$unsorted)) % 0.38/0.98 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.38/0.98 (define @t30 () (tptp.ssList @t27)) % 0.38/0.98 (define @t31 () (@list @t27)) % 0.38/0.98 (define @t32 () (tptp.ssList @t28)) % 0.38/0.98 (define @t33 () (@list @t28)) % 0.38/0.98 (define @t34 () (tptp.ssItem @t12)) % 0.38/0.98 (define @t35 () (tptp.lt @t1 @t12)) % 0.38/0.98 (define @t36 () (= @t1 @t12)) % 0.38/0.98 (define @t37 () (tptp.cons @t1 @t2)) % 0.38/0.98 (define @t38 () (tptp.ssList tptp.nil)) % 0.38/0.98 (define @t39 () (= @t1 @t2)) % 0.38/0.98 (define @t40 () (tptp.cons @t12 @t1)) % 0.38/0.98 (define @t41 () (= tptp.nil @t2)) % 0.38/0.98 (define @t42 () (tptp.hd @t2)) % 0.38/0.98 (define @t43 () (not @t41)) % 0.38/0.98 (define @t44 () (tptp.tl @t2)) % 0.38/0.98 (define @t45 () (tptp.app @t2 @t1)) % 0.38/0.98 (define @t46 () (tptp.app @t1 @t2)) % 0.38/0.98 (define @t47 () (tptp.leq @t1 @t2)) % 0.38/0.98 (define @t48 () (tptp.leq @t2 @t1)) % 0.38/0.98 (define @t49 () (tptp.geq @t2 @t1)) % 0.38/0.98 (define @t50 () (tptp.lt @t1 @t2)) % 0.38/0.98 (define @t51 () (tptp.lt @t2 @t1)) % 0.38/0.98 (define @t52 () (tptp.lt @t2 @t12)) % 0.38/0.98 (define @t53 () (tptp.gt @t2 @t1)) % 0.38/0.98 (define @t54 () (tptp.memberP @t12 @t2)) % 0.38/0.98 (define @t55 () (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t54))) % 0.38/0.98 (define @t56 () (forall @t16 (=> @t15 @t55))) % 0.38/0.98 (define @t57 () (=> @t6 @t56)) % 0.38/0.98 (define @t58 () (forall @t7 @t57)) % 0.38/0.98 (define @t59 () (=> @t8 @t58)) % 0.38/0.98 (define @t60 () (forall @t9 @t59)) % 0.38/0.98 (define @t61 () (not (tptp.memberP tptp.nil @t2))) % 0.38/0.98 (define @t62 () (forall @t9 (=> @t8 @t61))) % 0.38/0.98 (define @t63 () (tptp.app @t12 @t2)) % 0.38/0.98 (define @t64 () (tptp.cons @t2 tptp.nil)) % 0.38/0.98 (define @t65 () (tptp.hd @t1)) % 0.38/0.98 (define @t66 () (= tptp.nil @t1)) % 0.38/0.98 (define @t67 () (not @t66)) % 0.38/0.98 (define @t68 () (tptp.cons @t2 @t1)) % 0.38/0.98 (define @t69 () (= @t12 @t2)) % 0.38/0.98 (define @t70 () (not (= tptp.nil @t12))) % 0.38/0.98 (define @t71 () (not (= tptp.nil @t10))) % 0.38/0.98 (define @t72 () (or @t71 @t70)) % 0.38/0.98 (define @t73 () (@var "X1" $$unsorted)) % 0.38/0.98 (define @t74 () (tptp.leq @t73 @t27)) % 0.38/0.98 (define @t75 () (tptp.memberP @t10 @t73)) % 0.38/0.98 (define @t76 () (= @t27 @t73)) % 0.38/0.98 (define @t77 () (not @t76)) % 0.38/0.98 (define @t78 () (tptp.ssItem @t73)) % 0.38/0.98 (define @t79 () (and @t78 @t77 @t75 @t74)) % 0.38/0.98 (define @t80 () (@list @t73)) % 0.38/0.98 (define @t81 () (exists @t80 @t79)) % 0.38/0.98 (define @t82 () (not (tptp.memberP @t10 @t27))) % 0.38/0.98 (define @t83 () (tptp.cons @t27 tptp.nil)) % 0.38/0.98 (define @t84 () (not (= @t83 @t12))) % 0.38/0.98 (define @t85 () (or @t84 @t82 @t81)) % 0.38/0.98 (define @t86 () (tptp.ssItem @t27)) % 0.38/0.98 (define @t87 () (=> @t86 @t85)) % 0.38/0.98 (define @t88 () (forall @t31 @t87)) % 0.38/0.98 (define @t89 () (and @t88 @t72)) % 0.38/0.98 (define @t90 () (tptp.memberP @t1 @t28)) % 0.38/0.98 (define @t91 () (not (tptp.memberP @t2 @t28))) % 0.38/0.98 (define @t92 () (or @t91 @t90)) % 0.38/0.98 (define @t93 () (tptp.ssItem @t28)) % 0.38/0.98 (define @t94 () (forall @t33 (=> @t93 @t92))) % 0.38/0.98 (define @t95 () (not (= @t2 @t12))) % 0.38/0.98 (define @t96 () (not (= @t1 @t10))) % 0.38/0.98 (define @t97 () (or @t96 @t95 @t94 @t89)) % 0.38/0.98 (define @t98 () (=> @t13 @t97)) % 0.38/0.98 (define @t99 () (forall @t14 @t98)) % 0.38/0.98 (define @t100 () (=> @t15 @t99)) % 0.38/0.98 (define @t101 () (forall @t16 @t100)) % 0.38/0.98 (define @t102 () (=> @t21 @t101)) % 0.38/0.98 (define @t103 () (forall @t7 @t102)) % 0.38/0.98 (define @t104 () (=> @t17 @t103)) % 0.38/0.98 (define @t105 () (forall @t9 @t104)) % 0.38/0.98 (define @t106 () (not @t105)) % 0.38/0.98 (define @t107 () (@var "BOUND_VARIABLE_11154" $$unsorted)) % 0.38/0.98 (define @t108 () (@var "BOUND_VARIABLE_11152" $$unsorted)) % 0.38/0.98 (define @t109 () (tptp.memberP @t108 @t107)) % 0.38/0.98 (define @t110 () (not (tptp.memberP @t2 @t107))) % 0.38/0.98 (define @t111 () (not (tptp.ssItem @t107))) % 0.38/0.98 (define @t112 () (not (= @t2 tptp.nil))) % 0.38/0.98 (define @t113 () (not (= @t108 tptp.nil))) % 0.38/0.98 (define @t114 () (or @t113 @t112)) % 0.38/0.98 (define @t115 () (@var "BOUND_VARIABLE_11156" $$unsorted)) % 0.38/0.98 (define @t116 () (not @t78)) % 0.38/0.98 (define @t117 () (or (not (tptp.ssItem @t115)) (not (= @t2 (tptp.cons @t115 tptp.nil))) (not (tptp.memberP @t108 @t115)) (not (forall @t80 (or @t116 (= @t73 @t115) (not (tptp.memberP @t108 @t73)) (not (tptp.leq @t73 @t115))))))) % 0.38/0.98 (define @t118 () (and @t117 @t114)) % 0.38/0.98 (define @t119 () (not (tptp.ssList @t108))) % 0.38/0.98 (define @t120 () (not @t17)) % 0.38/0.98 (define @t121 () (or @t120 @t119 @t118 @t111 @t110 @t109)) % 0.38/0.98 (define @t122 () (or @t119 @t118 @t111 @t110 @t109)) % 0.38/0.98 (define @t123 () (or @t120 @t122)) % 0.38/0.98 (define @t124 () (@list @t2 @t108 @t107 @t115)) % 0.38/0.98 (define @t125 () (forall @t124 @t123)) % 0.38/0.98 (define @t126 () (@list @t108 @t107 @t115)) % 0.38/0.98 (define @t127 () (forall @t126 @t123)) % 0.38/0.98 (define @t128 () (forall @t126 @t122)) % 0.38/0.98 (define @t129 () (@var "BOUND_VARIABLE_11126" $$unsorted)) % 0.38/0.98 (define @t130 () (@var "BOUND_VARIABLE_11118" $$unsorted)) % 0.38/0.98 (define @t131 () (or @t120 @t128)) % 0.38/0.98 (define @t132 () (tptp.memberP @t1 @t130)) % 0.38/0.98 (define @t133 () (not (tptp.memberP @t2 @t130))) % 0.38/0.98 (define @t134 () (not (tptp.ssItem @t130))) % 0.38/0.98 (define @t135 () (not (= @t1 tptp.nil))) % 0.38/0.98 (define @t136 () (or @t135 @t112)) % 0.38/0.98 (define @t137 () (not (tptp.memberP @t1 @t73))) % 0.38/0.98 (define @t138 () (or (not (tptp.ssItem @t129)) (not (= @t2 (tptp.cons @t129 tptp.nil))) (not (tptp.memberP @t1 @t129)) (not (forall @t80 (or @t116 (= @t73 @t129) @t137 (not (tptp.leq @t73 @t129))))))) % 0.38/0.98 (define @t139 () (and @t138 @t136)) % 0.38/0.98 (define @t140 () (not @t21)) % 0.38/0.98 (define @t141 () (or @t140 @t139 @t134 @t133 @t132)) % 0.38/0.98 (define @t142 () (@list @t1 @t130 @t129)) % 0.38/0.98 (define @t143 () (or @t120 (forall @t142 @t141))) % 0.38/0.98 (define @t144 () (or @t134 @t133 @t132)) % 0.38/0.98 (define @t145 () (or @t140 @t144 @t139)) % 0.38/0.98 (define @t146 () (forall @t142 @t145)) % 0.38/0.98 (define @t147 () (forall (@list @t130 @t129) @t145)) % 0.38/0.98 (define @t148 () (@list @t129)) % 0.38/0.98 (define @t149 () (forall @t148 @t136)) % 0.38/0.98 (define @t150 () (forall @t148 @t138)) % 0.38/0.98 (define @t151 () (@var "BOUND_VARIABLE_11087" $$unsorted)) % 0.38/0.98 (define @t152 () (@list @t151)) % 0.38/0.98 (define @t153 () (and @t150 @t149)) % 0.38/0.98 (define @t154 () (forall @t148 @t139)) % 0.38/0.98 (define @t155 () (forall (@list @t130) @t144)) % 0.38/0.98 (define @t156 () (or @t140 @t155 @t154)) % 0.38/0.98 (define @t157 () (and (forall (@list @t151) (or (not (tptp.ssItem @t151)) (not (= @t2 (tptp.cons @t151 tptp.nil))) (not (tptp.memberP @t1 @t151)) (not (forall @t80 (or @t116 (= @t73 @t151) @t137 (not (tptp.leq @t73 @t151))))))) @t136)) % 0.38/0.98 (define @t158 () (not @t93)) % 0.38/0.98 (define @t159 () (or @t158 @t91 @t90)) % 0.38/0.98 (define @t160 () (forall @t33 @t159)) % 0.38/0.98 (define @t161 () (or @t140 @t160 @t157)) % 0.38/0.98 (define @t162 () (forall @t7 @t161)) % 0.38/0.98 (define @t163 () (or @t120 @t162)) % 0.38/0.98 (define @t164 () (or @t120 @t161)) % 0.38/0.98 (define @t165 () (or @t140 @t160 @t120 @t157)) % 0.38/0.98 (define @t166 () (or @t160 @t140 @t120 @t157)) % 0.38/0.98 (define @t167 () (@var "BOUND_VARIABLE_11052" $$unsorted)) % 0.38/0.98 (define @t168 () (@list @t167)) % 0.38/0.98 (define @t169 () (forall @t168 @t136)) % 0.38/0.98 (define @t170 () (not (forall @t80 (or @t116 (= @t73 @t167) @t137 (not (tptp.leq @t73 @t167)))))) % 0.38/0.98 (define @t171 () (not (tptp.memberP @t1 @t167))) % 0.38/0.98 (define @t172 () (tptp.cons @t167 tptp.nil)) % 0.38/0.98 (define @t173 () (not (tptp.ssItem @t167))) % 0.38/0.98 (define @t174 () (or @t173 (not (= @t2 @t172)) @t171 @t170)) % 0.38/0.98 (define @t175 () (forall @t168 @t174)) % 0.38/0.98 (define @t176 () (@list @t167)) % 0.38/0.98 (define @t177 () (and @t175 @t169)) % 0.38/0.98 (define @t178 () (and @t174 @t136)) % 0.38/0.98 (define @t179 () (forall @t168 @t178)) % 0.38/0.98 (define @t180 () (or @t120 @t179)) % 0.38/0.98 (define @t181 () (or @t120 @t178)) % 0.38/0.98 (define @t182 () (not (= @t2 @t2))) % 0.38/0.98 (define @t183 () (or @t120 @t182 @t178)) % 0.38/0.98 (define @t184 () (not (= @t12 tptp.nil))) % 0.38/0.98 (define @t185 () (or @t135 @t184)) % 0.38/0.98 (define @t186 () (or @t173 (not (= @t12 @t172)) @t171 @t170)) % 0.38/0.98 (define @t187 () (and @t186 @t185)) % 0.38/0.98 (define @t188 () (not @t15)) % 0.38/0.98 (define @t189 () (or @t95 @t188 @t95 @t187)) % 0.38/0.98 (define @t190 () (or @t188 @t95 @t187)) % 0.38/0.98 (define @t191 () (forall @t16 @t190)) % 0.38/0.98 (define @t192 () (forall @t168 @t191)) % 0.38/0.98 (define @t193 () (forall (@list @t167 @t12) @t190)) % 0.38/0.98 (define @t194 () (forall (@list @t12 @t167) @t190)) % 0.38/0.98 (define @t195 () (forall @t168 @t190)) % 0.38/0.98 (define @t196 () (forall @t168 @t185)) % 0.38/0.98 (define @t197 () (forall @t168 @t186)) % 0.38/0.98 (define @t198 () (@var "BOUND_VARIABLE_11021" $$unsorted)) % 0.38/0.98 (define @t199 () (@list @t198)) % 0.38/0.98 (define @t200 () (and @t197 @t196)) % 0.38/0.98 (define @t201 () (forall @t168 @t187)) % 0.38/0.98 (define @t202 () (or @t188 @t95 @t201)) % 0.38/0.98 (define @t203 () (and (forall (@list @t198) (or (not (tptp.ssItem @t198)) (not (= @t12 (tptp.cons @t198 tptp.nil))) (not (tptp.memberP @t1 @t198)) (not (forall @t80 (or @t116 (= @t73 @t198) @t137 (not (tptp.leq @t73 @t198))))))) @t185)) % 0.38/0.98 (define @t204 () (or @t188 @t95 @t203)) % 0.38/0.98 (define @t205 () (forall @t16 @t204)) % 0.38/0.98 (define @t206 () (or @t160 @t140 @t205)) % 0.38/0.98 (define @t207 () (or @t160 @t140 @t204)) % 0.38/0.98 (define @t208 () (or @t188 @t95 @t160 @t140 @t203)) % 0.38/0.98 (define @t209 () (or @t95 @t160 @t140 @t203)) % 0.38/0.98 (define @t210 () (@var "BOUND_VARIABLE_10975" $$unsorted)) % 0.38/0.98 (define @t211 () (@list @t210)) % 0.38/0.98 (define @t212 () (forall @t211 @t185)) % 0.38/0.98 (define @t213 () (not (tptp.leq @t73 @t210))) % 0.38/0.98 (define @t214 () (= @t73 @t210)) % 0.38/0.98 (define @t215 () (not (= @t12 (tptp.cons @t210 tptp.nil)))) % 0.38/0.98 (define @t216 () (not (tptp.ssItem @t210))) % 0.38/0.98 (define @t217 () (or @t216 @t215 (not (tptp.memberP @t1 @t210)) (not (forall @t80 (or @t116 @t214 @t137 @t213))))) % 0.38/0.98 (define @t218 () (forall @t211 @t217)) % 0.38/0.98 (define @t219 () (@list @t210)) % 0.38/0.98 (define @t220 () (and @t218 @t212)) % 0.38/0.98 (define @t221 () (and @t217 @t185)) % 0.38/0.98 (define @t222 () (forall @t211 @t221)) % 0.38/0.98 (define @t223 () (or @t140 @t222)) % 0.38/0.98 (define @t224 () (or @t140 @t221)) % 0.38/0.98 (define @t225 () (not (= @t1 @t1))) % 0.38/0.98 (define @t226 () (or @t140 @t225 @t221)) % 0.38/0.98 (define @t227 () (or (not (= @t10 tptp.nil)) @t184)) % 0.38/0.98 (define @t228 () (not @t75)) % 0.38/0.98 (define @t229 () (not (tptp.memberP @t10 @t210))) % 0.38/0.98 (define @t230 () (and (or @t216 @t215 @t229 (not (forall @t80 (or @t116 @t214 @t228 @t213)))) @t227)) % 0.38/0.98 (define @t231 () (not @t13)) % 0.38/0.98 (define @t232 () (or @t96 @t231 @t96 @t230)) % 0.38/0.98 (define @t233 () (or @t231 @t96 @t230)) % 0.38/0.98 (define @t234 () (forall @t14 @t233)) % 0.38/0.98 (define @t235 () (forall @t211 @t234)) % 0.38/0.98 (define @t236 () (forall (@list @t210 @t10) @t233)) % 0.38/0.98 (define @t237 () (@list @t10 @t210)) % 0.38/0.98 (define @t238 () (or @t116 (= @t210 @t73) @t228 @t213)) % 0.38/0.98 (define @t239 () (forall @t80 @t238)) % 0.38/0.98 (define @t240 () (not @t239)) % 0.38/0.98 (define @t241 () (or @t216 @t215 @t229 @t240)) % 0.38/0.98 (define @t242 () (and @t241 @t227)) % 0.38/0.98 (define @t243 () (or @t231 @t96 @t242)) % 0.38/0.98 (define @t244 () (forall @t237 @t243)) % 0.38/0.98 (define @t245 () (forall @t211 @t243)) % 0.38/0.98 (define @t246 () (forall @t211 @t227)) % 0.38/0.98 (define @t247 () (forall @t211 @t241)) % 0.38/0.98 (define @t248 () (and @t247 @t246)) % 0.38/0.98 (define @t249 () (forall @t211 @t242)) % 0.38/0.98 (define @t250 () (or @t231 @t96 @t249)) % 0.38/0.98 (define @t251 () (not @t74)) % 0.38/0.98 (define @t252 () (not (forall @t80 (or @t116 @t76 @t228 @t251)))) % 0.38/0.98 (define @t253 () (not (= @t12 @t83))) % 0.38/0.98 (define @t254 () (not @t86)) % 0.38/0.98 (define @t255 () (or @t254 @t253 @t82 @t252)) % 0.38/0.98 (define @t256 () (and (forall @t31 @t255) @t227)) % 0.38/0.98 (define @t257 () (or @t231 @t96 @t256)) % 0.38/0.98 (define @t258 () (forall @t14 @t257)) % 0.38/0.98 (define @t259 () (or @t95 @t160 @t258)) % 0.38/0.98 (define @t260 () (or @t95 @t160 @t257)) % 0.38/0.98 (define @t261 () (or @t231 @t96 @t95 @t160 @t256)) % 0.38/0.98 (define @t262 () (or @t96 @t95 @t160 @t256)) % 0.38/0.98 (define @t263 () (or @t253 @t82 @t252)) % 0.38/0.98 (define @t264 () (not @t77)) % 0.38/0.98 (define @t265 () (or @t116 @t264 @t228 @t251)) % 0.38/0.98 (define @t266 () (forall @t80 (not @t79))) % 0.38/0.98 (define @t267 () (not @t266)) % 0.38/0.98 (define @t268 () (forall @t124 (or @t120 @t119 (and @t117 (or (not (= tptp.nil @t108)) @t112)) @t111 @t110 @t109))) % 0.38/0.98 (define @t269 () (@quantifiers_skolemize @t268 2)) % 0.38/0.98 (define @t270 () (@quantifiers_skolemize @t268 1)) % 0.38/0.98 (define @t271 () (tptp.memberP @t270 @t269)) % 0.38/0.98 (define @t272 () (@quantifiers_skolemize @t268 0)) % 0.38/0.98 (define @t273 () (tptp.memberP @t272 @t269)) % 0.38/0.98 (define @t274 () (not @t273)) % 0.38/0.98 (define @t275 () (tptp.ssItem @t269)) % 0.38/0.98 (define @t276 () (not @t275)) % 0.38/0.98 (define @t277 () (= tptp.nil @t272)) % 0.38/0.98 (define @t278 () (not @t277)) % 0.38/0.98 (define @t279 () (= tptp.nil @t270)) % 0.38/0.98 (define @t280 () (not @t279)) % 0.38/0.98 (define @t281 () (or @t280 @t278)) % 0.38/0.98 (define @t282 () (@quantifiers_skolemize @t268 3)) % 0.38/0.98 (define @t283 () (tptp.memberP @t270 @t282)) % 0.38/0.98 (define @t284 () (not @t283)) % 0.38/0.98 (define @t285 () (tptp.cons @t282 tptp.nil)) % 0.38/0.98 (define @t286 () (= @t272 @t285)) % 0.38/0.98 (define @t287 () (not @t286)) % 0.38/0.98 (define @t288 () (tptp.ssItem @t282)) % 0.38/0.98 (define @t289 () (not @t288)) % 0.38/0.98 (define @t290 () (or @t289 @t287 @t284 (not (forall @t80 (or @t116 (= @t73 @t282) (not (tptp.memberP @t270 @t73)) (not (tptp.leq @t73 @t282))))))) % 0.38/0.98 (define @t291 () (and @t290 @t281)) % 0.38/0.98 (define @t292 () (not (tptp.ssList @t270))) % 0.38/0.98 (define @t293 () (not (tptp.ssList @t272))) % 0.38/0.98 (define @t294 () (or @t293 @t292 @t291 @t276 @t274 @t271)) % 0.38/0.98 (define @t295 () (not @t294)) % 0.38/0.98 (define @t296 () (not @t268)) % 0.38/0.98 (define @t297 () (not (= @t272 tptp.nil))) % 0.38/0.98 (define @t298 () (or @t280 @t297)) % 0.38/0.98 (define @t299 () (and @t290 @t298)) % 0.38/0.98 (define @t300 () (or @t293 @t292 @t299 @t276 @t274 @t271)) % 0.38/0.98 (define @t301 () (not @t300)) % 0.38/0.98 (define @t302 () (@list true)) % 0.38/0.98 (define @t303 () (not @t271)) % 0.38/0.98 (define @t304 () (@list @t294)) % 0.38/0.98 (define @t305 () (not @t303)) % 0.38/0.98 (define @t306 () (and @t303 @t279 @t277 @t273)) % 0.38/0.98 (define @t307 () (@list true false)) % 0.38/0.98 (define @t308 () (@list @t290)) % 0.38/0.98 (define @t309 () (@var "BOUND_VARIABLE_9717" $$unsorted)) % 0.38/0.98 (define @t310 () (@var "BOUND_VARIABLE_9715" $$unsorted)) % 0.38/0.98 (define @t311 () (= (tptp.memberP (tptp.cons @t310 @t309) @t2) (or (= @t2 @t310) (tptp.memberP @t309 @t2)))) % 0.38/0.98 (define @t312 () (not (tptp.ssList @t309))) % 0.38/0.98 (define @t313 () (not (tptp.ssItem @t310))) % 0.38/0.98 (define @t314 () (not @t8)) % 0.38/0.98 (define @t315 () (or @t313 @t312 @t311)) % 0.38/0.98 (define @t316 () (or @t314 @t315)) % 0.38/0.98 (define @t317 () (forall (@list @t2 @t310 @t309) @t316)) % 0.38/0.98 (define @t318 () (@list @t310 @t309)) % 0.38/0.98 (define @t319 () (forall @t318 @t316)) % 0.38/0.98 (define @t320 () (forall @t318 @t315)) % 0.38/0.98 (define @t321 () (@var "BOUND_VARIABLE_9696" $$unsorted)) % 0.38/0.98 (define @t322 () (or @t314 @t320)) % 0.38/0.98 (define @t323 () (= (tptp.memberP (tptp.cons @t1 @t321) @t2) (or @t3 (tptp.memberP @t321 @t2)))) % 0.38/0.98 (define @t324 () (not (tptp.ssList @t321))) % 0.38/0.98 (define @t325 () (not @t6)) % 0.38/0.98 (define @t326 () (or @t325 @t324 @t323)) % 0.38/0.98 (define @t327 () (@list @t1 @t321)) % 0.38/0.98 (define @t328 () (forall @t327 @t326)) % 0.38/0.98 (define @t329 () (or @t324 @t323)) % 0.38/0.98 (define @t330 () (or @t325 @t329)) % 0.38/0.98 (define @t331 () (forall @t327 @t330)) % 0.38/0.98 (define @t332 () (@list @t321)) % 0.38/0.98 (define @t333 () (forall @t332 @t330)) % 0.38/0.98 (define @t334 () (forall @t332 @t329)) % 0.38/0.98 (define @t335 () (or @t325 @t334)) % 0.38/0.98 (define @t336 () (forall @t16 (or @t188 @t55))) % 0.38/0.98 (define @t337 () (tptp.memberP tptp.nil @t269)) % 0.38/0.98 (define @t338 () (= @t269 @t282)) % 0.38/0.98 (define @t339 () (or @t338 @t337)) % 0.38/0.98 (define @t340 () (tptp.memberP @t285 @t269)) % 0.38/0.98 (define @t341 () (= @t340 @t339)) % 0.38/0.98 (define @t342 () (not @t38)) % 0.38/0.98 (define @t343 () (or @t276 @t289 @t342 @t341)) % 0.38/0.98 (define @t344 () (and @t286 @t273)) % 0.38/0.98 (define @t345 () (@list false false)) % 0.38/0.98 (define @t346 () (not @t337)) % 0.38/0.98 (define @t347 () (or @t276 @t346)) % 0.38/0.98 (define @t348 () (not @t338)) % 0.38/0.98 (define @t349 () (and @t283 @t338 @t303)) % 0.38/0.98 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.38/0.98 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.38/0.98 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 0.38/0.98 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.38/0.98 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.38/0.98 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.38/0.98 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.38/0.98 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 0.38/0.98 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 0.38/0.98 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 0.38/0.98 (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))))))))))))))) % 0.38/0.98 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.38/0.98 (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)))))))))))))))) % 0.38/0.98 (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))))))))))))) % 0.38/0.98 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.38/0.98 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.38/0.98 (assume @p17 @t38) % 0.38/0.98 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.38/0.98 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t39))))))))))) % 0.38/0.98 (assume @p20 (forall @t9 (=> @t17 (or @t41 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t40 @t2))))))))) % 0.38/0.98 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.38/0.98 (assume @p22 (forall @t9 (=> @t17 (=> @t43 (tptp.ssItem @t42))))) % 0.38/0.98 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.38/0.98 (assume @p24 (forall @t9 (=> @t17 (=> @t43 (tptp.ssList @t44))))) % 0.38/0.98 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.38/0.98 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t45)))))) % 0.38/0.98 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t46) (tptp.app @t40 @t2))))))))) % 0.38/0.98 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.38/0.98 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 @t47) @t3)))))) % 0.38/0.98 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t26) (tptp.leq @t2 @t12))))))))) % 0.38/0.98 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.38/0.98 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t49 @t47)))))) % 0.38/0.98 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (not @t50))))))) % 0.38/0.98 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t52)))))))) % 0.38/0.98 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t50)))))) % 0.38/0.98 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t54))))))))) % 0.38/0.98 (assume @p37 @t60) % 0.38/0.98 (assume @p38 @t62) % 0.38/0.98 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.38/0.98 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.38/0.98 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.38/0.98 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.38/0.98 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.38/0.98 (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)))))))))))) % 0.38/0.98 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.38/0.98 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t41)))) % 0.38/0.98 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.38/0.98 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.38/0.98 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.38/0.98 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t63 @t1))))))))) % 0.38/0.98 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.38/0.98 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t41)))) % 0.38/0.98 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.38/0.98 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.38/0.98 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.38/0.98 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t63 @t10) @t1))))))))))) % 0.38/0.98 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.38/0.98 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t41)))) % 0.38/0.98 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t64)))) % 0.38/0.98 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.38/0.98 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t64)))) % 0.38/0.98 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.38/0.98 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t64)))) % 0.38/0.98 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.38/0.98 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t64)))) % 0.38/0.98 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.38/0.98 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t68) (or @t66 (and @t67 (tptp.totalorderedP @t1) (tptp.leq @t2 @t65))))))))) % 0.38/0.98 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t64)))) % 0.38/0.98 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.38/0.98 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t68) (or @t66 (and @t67 (tptp.strictorderedP @t1) (tptp.lt @t2 @t65))))))))) % 0.38/0.98 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t64)))) % 0.38/0.98 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.38/0.98 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t64)))) % 0.38/0.98 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.38/0.98 (assume @p75 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t6 (= @t42 @t1))))))) % 0.38/0.98 (assume 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(@p513) :args ((or @t286 @t290))) % 0.38/0.98 (step @p515 :rule chain_m_resolution :premises (@p514 @p446) :args (@t286 @t302 @t308)) % 0.38/0.98 (assume-push @p597 @t286) % 0.38/0.98 (assume-push @p598 @t273) % 0.38/0.98 (assume-push @p599 @t273) % 0.38/0.98 (assume-push @p600 @t286) % 0.38/0.98 (step @p418 :rule true_intro :premises (@p404)) % 0.38/0.98 (step @p414 :rule refl :args (@t269)) % 0.38/0.98 (step @p520 :rule symm :premises (@p597)) % 0.38/0.98 (step @p521 :rule cong :premises (@p520 @p414) :args (@t340)) % 0.38/0.98 (step @p522 :rule trans :premises (@p521 @p418)) % 0.38/0.98 (step @p523 :rule true_elim :premises (@p522)) % 0.38/0.98 (step-pop @p601 :rule scope :premises (@p523)) % 0.38/0.98 (step-pop @p602 :rule scope :premises (@p601)) % 0.38/0.98 (step @p524 :rule process_scope :premises (@p602) :args (@t340)) % 0.38/0.98 (step @p527 :rule and_intro :premises (@p404 @p597)) % 0.38/0.98 (step @p528 :rule modus_ponens :premises (@p527 @p524)) % 0.38/0.98 (step-pop @p603 :rule scope :premises (@p528)) % 0.38/0.98 (step-pop @p604 :rule scope :premises (@p603)) % 0.38/0.98 (step @p529 :rule process_scope :premises (@p604) :args (@t340)) % 0.38/0.98 (step @p532 :rule implies_elim :premises (@p529)) % 0.38/0.98 (step @p533 :rule cnf_and_neg :args (@t344)) % 0.38/0.98 (step @p534 :rule resolution :premises (@p533 @p532) :args (true @t344)) % 0.38/0.98 (step @p535 :rule chain_m_resolution :premises (@p534 @p515 @p404) :args (@t340 @t345 (@list @t286 @t273))) % 0.38/0.98 (step @p536 :rule cnf_equiv_pos1 :args (@t341)) % 0.38/0.98 (step @p537 :rule reordering :premises (@p536) :args ((or @t339 (not @t340) (not @t341)))) % 0.38/0.98 (step @p538 :rule chain_m_resolution :premises (@p537 @p535 @p509) :args (@t339 @t345 (@list @t340 @t341))) % 0.38/0.98 (step @p539 :rule bool-impl-elim :args (@t8 @t61)) % 0.38/0.98 (step @p540 :rule cong :premises (@p539) :args (@t62)) % 0.38/0.98 (step @p541 :rule eq_resolve :premises (@p38 @p540)) % 0.38/0.98 (step @p542 :rule instantiate :premises (@p541) :args ((@list @t269))) % 0.38/0.98 (step @p543 :rule cnf_or_pos :args (@t347)) % 0.38/0.98 (step @p544 :rule reordering :premises (@p543) :args ((or @t276 @t346 (not @t347)))) % 0.38/0.98 (step @p545 :rule chain_m_resolution :premises (@p544 @p500 @p542) :args (@t346 @t345 (@list @t275 @t347))) % 0.38/0.98 (step @p546 :rule cnf_or_pos :args (@t339)) % 0.38/0.98 (step @p547 :rule reordering :premises (@p546) :args ((or @t337 @t338 (not @t339)))) % 0.38/0.98 (step @p548 :rule chain_m_resolution :premises (@p547 @p545 @p538) :args (@t338 @t307 (@list @t337 @t339))) % 0.38/0.98 (step @p549 :rule refl :args (@t348)) % 0.38/0.98 (step @p550 :rule refl :args (@t284)) % 0.38/0.98 (step @p551 :rule nary_cong :premises (@p550 @p405 @p549) :args ((or @t284 @t305 @t348))) % 0.38/0.98 (assume-push @p605 @t283) % 0.38/0.98 (assume-push @p606 @t338) % 0.38/0.98 (assume-push @p607 @t303) % 0.38/0.98 (step @p555 :rule evaluate :args ((= false true))) % 0.38/0.98 (step @p556 :rule true_intro :premises (@p605)) % 0.38/0.98 (step @p557 :rule refl :args (@t270)) % 0.38/0.98 (step @p558 :rule cong :premises (@p557 @p606) :args (@t271)) % 0.38/0.98 (step @p413 :rule false_intro :premises (@p386)) % 0.38/0.98 (step @p559 :rule symm :premises (@p413)) % 0.38/0.98 (step @p560 :rule trans :premises (@p559 @p558 @p556)) % 0.38/0.98 (step @p561 false :rule eq_resolve :premises (@p560 @p555)) % 0.38/0.98 (step-pop @p608 :rule scope :premises (@p561)) % 0.38/0.98 (step-pop @p609 :rule scope :premises (@p608)) % 0.38/0.98 (step-pop @p610 :rule scope :premises (@p609)) % 0.38/0.98 (step @p562 :rule process_scope :premises (@p610) :args (false)) % 0.38/0.98 (assume-push @p611 @t283) % 0.38/0.98 (assume-push @p612 @t303) % 0.38/0.98 (assume-push @p613 @t338) % 0.38/0.98 (step @p569 :rule and_intro :premises (@p611 @p613 @p386)) % 0.38/0.98 (step-pop @p614 :rule scope :premises (@p569)) % 0.38/0.98 (step-pop @p615 :rule scope :premises (@p614)) % 0.38/0.98 (step-pop @p616 :rule scope :premises (@p615)) % 0.38/0.98 (step @p570 :rule process_scope :premises (@p616) :args (@t349)) % 0.38/0.98 (step @p574 :rule implies_elim :premises (@p570)) % 0.38/0.98 (step @p575 :rule resolution :premises (@p574 @p562) :args (true @t349)) % 0.38/0.98 (step @p576 :rule not_and :premises (@p575)) % 0.38/0.98 (step @p577 :rule eq_resolve :premises (@p576 @p551)) % 0.38/0.98 (step @p578 false :rule chain_m_resolution :premises (@p577 @p548 @p452 @p386) :args (false (@list false false true) (@list @t338 @t283 @t271))) % 0.38/0.98 ) % 0.38/0.98 % SZS output end Proof % 0.38/0.98 % cvc5 exiting %------------------------------------------------------------------------------