%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC357+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 : n016.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 08:59:00 AM UTC 2026 % Result : Theorem 0.84s 1.13s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC357+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n016.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:44:09 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.84/1.13 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.84/1.13 % SZS status Theorem % 0.84/1.13 % SZS output start Proof % 0.84/1.13 ( % 0.84/1.13 (declare-sort $$unsorted 0) % 0.84/1.13 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.84/1.13 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.84/1.13 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.84/1.13 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.84/1.13 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.84/1.13 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.84/1.13 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.84/1.13 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.84/1.13 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.84/1.13 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.84/1.13 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.84/1.13 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.13 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.13 (declare-const tptp.nil $$unsorted) % 0.84/1.13 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.84/1.13 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.84/1.13 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.84/1.13 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.84/1.13 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.84/1.13 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.84/1.13 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.84/1.13 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.84/1.13 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.84/1.13 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.84/1.13 (define @t1 () (@var "V" $$unsorted)) % 0.84/1.13 (define @t2 () (@var "U" $$unsorted)) % 0.84/1.13 (define @t3 () (= @t2 @t1)) % 0.84/1.13 (define @t4 () (not @t3)) % 0.84/1.13 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.84/1.13 (define @t6 () (tptp.ssItem @t1)) % 0.84/1.13 (define @t7 () (@list @t1)) % 0.84/1.13 (define @t8 () (tptp.ssItem @t2)) % 0.84/1.13 (define @t9 () (@list @t2)) % 0.84/1.13 (define @t10 () (@var "X" $$unsorted)) % 0.84/1.13 (define @t11 () (tptp.cons @t1 @t10)) % 0.84/1.13 (define @t12 () (@var "W" $$unsorted)) % 0.84/1.13 (define @t13 () (tptp.ssList @t10)) % 0.84/1.13 (define @t14 () (@list @t10)) % 0.84/1.13 (define @t15 () (tptp.ssList @t12)) % 0.84/1.13 (define @t16 () (@list @t12)) % 0.84/1.13 (define @t17 () (tptp.ssList @t2)) % 0.84/1.13 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.84/1.13 (define @t19 () (tptp.app @t1 @t12)) % 0.84/1.13 (define @t20 () (and @t15 (= @t19 @t2))) % 0.84/1.13 (define @t21 () (exists @t16 @t20)) % 0.84/1.13 (define @t22 () (tptp.frontsegP @t2 @t1)) % 0.84/1.13 (define @t23 () (= @t22 @t21)) % 0.84/1.13 (define @t24 () (tptp.ssList @t1)) % 0.84/1.13 (define @t25 () (=> @t24 @t23)) % 0.84/1.13 (define @t26 () (forall @t7 @t25)) % 0.84/1.13 (define @t27 () (=> @t17 @t26)) % 0.84/1.13 (define @t28 () (forall @t9 @t27)) % 0.84/1.13 (define @t29 () (tptp.app @t12 @t1)) % 0.84/1.13 (define @t30 () (tptp.rearsegP @t2 @t1)) % 0.84/1.13 (define @t31 () (tptp.app @t29 @t10)) % 0.84/1.13 (define @t32 () (and @t13 (= @t31 @t2))) % 0.84/1.13 (define @t33 () (exists @t14 @t32)) % 0.84/1.13 (define @t34 () (and @t15 @t33)) % 0.84/1.13 (define @t35 () (exists @t16 @t34)) % 0.84/1.13 (define @t36 () (tptp.segmentP @t2 @t1)) % 0.84/1.13 (define @t37 () (= @t36 @t35)) % 0.84/1.13 (define @t38 () (=> @t24 @t37)) % 0.84/1.13 (define @t39 () (forall @t7 @t38)) % 0.84/1.13 (define @t40 () (=> @t17 @t39)) % 0.84/1.13 (define @t41 () (forall @t9 @t40)) % 0.84/1.13 (define @t42 () (tptp.leq @t12 @t1)) % 0.84/1.13 (define @t43 () (tptp.leq @t1 @t12)) % 0.84/1.13 (define @t44 () (@var "Z" $$unsorted)) % 0.84/1.13 (define @t45 () (@var "Y" $$unsorted)) % 0.84/1.13 (define @t46 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t45)) (tptp.cons @t12 @t44)) @t2)) % 0.84/1.13 (define @t47 () (tptp.ssList @t44)) % 0.84/1.13 (define @t48 () (@list @t44)) % 0.84/1.13 (define @t49 () (tptp.ssList @t45)) % 0.84/1.13 (define @t50 () (@list @t45)) % 0.84/1.13 (define @t51 () (tptp.ssItem @t12)) % 0.84/1.13 (define @t52 () (tptp.lt @t1 @t12)) % 0.84/1.13 (define @t53 () (= @t1 @t12)) % 0.84/1.13 (define @t54 () (tptp.cons @t1 @t2)) % 0.84/1.13 (define @t55 () (tptp.ssList tptp.nil)) % 0.84/1.13 (define @t56 () (= @t1 @t2)) % 0.84/1.13 (define @t57 () (tptp.cons @t12 @t1)) % 0.84/1.13 (define @t58 () (= tptp.nil @t2)) % 0.84/1.13 (define @t59 () (tptp.hd @t2)) % 0.84/1.13 (define @t60 () (not @t58)) % 0.84/1.13 (define @t61 () (tptp.tl @t2)) % 0.84/1.13 (define @t62 () (tptp.app @t2 @t1)) % 0.84/1.13 (define @t63 () (tptp.app @t1 @t2)) % 0.84/1.13 (define @t64 () (tptp.app tptp.nil @t2)) % 0.84/1.13 (define @t65 () (=> @t17 (= @t64 @t2))) % 0.84/1.13 (define @t66 () (forall @t9 @t65)) % 0.84/1.13 (define @t67 () (tptp.leq @t1 @t2)) % 0.84/1.13 (define @t68 () (tptp.leq @t2 @t1)) % 0.84/1.13 (define @t69 () (tptp.geq @t2 @t1)) % 0.84/1.13 (define @t70 () (tptp.lt @t1 @t2)) % 0.84/1.13 (define @t71 () (tptp.lt @t2 @t1)) % 0.84/1.13 (define @t72 () (tptp.lt @t2 @t12)) % 0.84/1.13 (define @t73 () (tptp.gt @t2 @t1)) % 0.84/1.13 (define @t74 () (tptp.memberP @t12 @t2)) % 0.84/1.13 (define @t75 () (tptp.frontsegP @t1 @t12)) % 0.84/1.13 (define @t76 () (tptp.frontsegP @t1 @t2)) % 0.84/1.13 (define @t77 () (tptp.app @t12 @t2)) % 0.84/1.13 (define @t78 () (tptp.segmentP @t1 @t2)) % 0.84/1.13 (define @t79 () (tptp.cons @t2 tptp.nil)) % 0.84/1.13 (define @t80 () (tptp.hd @t1)) % 0.84/1.13 (define @t81 () (= tptp.nil @t1)) % 0.84/1.13 (define @t82 () (not @t81)) % 0.84/1.13 (define @t83 () (tptp.cons @t2 @t1)) % 0.84/1.13 (define @t84 () (= @t12 @t2)) % 0.84/1.13 (define @t85 () (and @t81 @t58)) % 0.84/1.13 (define @t86 () (= tptp.nil @t62)) % 0.84/1.13 (define @t87 () (= @t86 @t85)) % 0.84/1.13 (define @t88 () (=> @t24 @t87)) % 0.84/1.13 (define @t89 () (forall @t7 @t88)) % 0.84/1.13 (define @t90 () (=> @t17 @t89)) % 0.84/1.13 (define @t91 () (forall @t9 @t90)) % 0.84/1.13 (define @t92 () (not (tptp.neq @t12 tptp.nil))) % 0.84/1.13 (define @t93 () (or @t92 (not (tptp.frontsegP @t10 @t12)))) % 0.84/1.13 (define @t94 () (not (= tptp.nil @t12))) % 0.84/1.13 (define @t95 () (not (= tptp.nil @t10))) % 0.84/1.13 (define @t96 () (or @t95 @t94)) % 0.84/1.13 (define @t97 () (and @t96 @t93)) % 0.84/1.13 (define @t98 () (not (tptp.neq @t1 tptp.nil))) % 0.84/1.13 (define @t99 () (not (= @t2 @t12))) % 0.84/1.13 (define @t100 () (not (= @t1 @t10))) % 0.84/1.13 (define @t101 () (or @t100 @t99 @t98 @t78 @t97)) % 0.84/1.13 (define @t102 () (=> @t13 @t101)) % 0.84/1.13 (define @t103 () (forall @t14 @t102)) % 0.84/1.13 (define @t104 () (=> @t15 @t103)) % 0.84/1.13 (define @t105 () (forall @t16 @t104)) % 0.84/1.13 (define @t106 () (=> @t24 @t105)) % 0.84/1.13 (define @t107 () (forall @t7 @t106)) % 0.84/1.13 (define @t108 () (=> @t17 @t107)) % 0.84/1.13 (define @t109 () (forall @t9 @t108)) % 0.84/1.13 (define @t110 () (not @t109)) % 0.84/1.13 (define @t111 () (= @t2 @t64)) % 0.84/1.13 (define @t112 () (@var "BOUND_VARIABLE_10974" $$unsorted)) % 0.84/1.13 (define @t113 () (not (tptp.neq @t2 tptp.nil))) % 0.84/1.13 (define @t114 () (or @t113 (not (tptp.frontsegP @t112 @t2)))) % 0.84/1.13 (define @t115 () (= @t2 tptp.nil)) % 0.84/1.13 (define @t116 () (not @t115)) % 0.84/1.13 (define @t117 () (tptp.segmentP @t112 @t2)) % 0.84/1.13 (define @t118 () (not (tptp.neq @t112 tptp.nil))) % 0.84/1.13 (define @t119 () (not (tptp.ssList @t112))) % 0.84/1.13 (define @t120 () (not @t17)) % 0.84/1.13 (define @t121 () (@list @t2 @t112)) % 0.84/1.13 (define @t122 () (forall @t121 (or @t120 @t119 @t118 @t117 (and (or (not (= tptp.nil @t112)) @t116) @t114)))) % 0.84/1.13 (define @t123 () (@quantifiers_skolemize @t122 0)) % 0.84/1.13 (define @t124 () (not (= @t112 tptp.nil))) % 0.84/1.13 (define @t125 () (or @t124 @t116)) % 0.84/1.13 (define @t126 () (and @t125 @t114)) % 0.84/1.13 (define @t127 () (or @t120 @t119 @t118 @t117 @t126)) % 0.84/1.13 (define @t128 () (or @t119 @t118 @t117 @t126)) % 0.84/1.13 (define @t129 () (or @t120 @t128)) % 0.84/1.13 (define @t130 () (forall @t121 @t129)) % 0.84/1.13 (define @t131 () (@list @t112)) % 0.84/1.13 (define @t132 () (forall @t131 @t129)) % 0.84/1.13 (define @t133 () (forall @t131 @t128)) % 0.84/1.13 (define @t134 () (@list @t1)) % 0.84/1.13 (define @t135 () (or @t120 @t133)) % 0.84/1.13 (define @t136 () (= @t1 tptp.nil)) % 0.84/1.13 (define @t137 () (not @t136)) % 0.84/1.13 (define @t138 () (and (or @t137 @t116) (or @t113 (not @t76)))) % 0.84/1.13 (define @t139 () (not @t24)) % 0.84/1.13 (define @t140 () (or @t139 @t98 @t78 @t138)) % 0.84/1.13 (define @t141 () (or @t120 (forall @t7 @t140))) % 0.84/1.13 (define @t142 () (or @t120 @t140)) % 0.84/1.13 (define @t143 () (or @t139 @t98 @t78 @t120 @t138)) % 0.84/1.13 (define @t144 () (or @t98 @t78 @t139 @t120 @t138)) % 0.84/1.13 (define @t145 () (or @t120 @t138)) % 0.84/1.13 (define @t146 () (not (= @t2 @t2))) % 0.84/1.13 (define @t147 () (or @t120 @t146 @t138)) % 0.84/1.13 (define @t148 () (not (= @t12 tptp.nil))) % 0.84/1.13 (define @t149 () (and (or @t137 @t148) (or @t92 (not @t75)))) % 0.84/1.13 (define @t150 () (not @t15)) % 0.84/1.13 (define @t151 () (or @t99 @t150 @t99 @t149)) % 0.84/1.13 (define @t152 () (or @t150 @t99 @t149)) % 0.84/1.13 (define @t153 () (forall @t16 @t152)) % 0.84/1.13 (define @t154 () (or @t98 @t78 @t139 @t153)) % 0.84/1.13 (define @t155 () (or @t98 @t78 @t139 @t152)) % 0.84/1.13 (define @t156 () (or @t150 @t99 @t98 @t78 @t139 @t149)) % 0.84/1.13 (define @t157 () (or @t99 @t98 @t78 @t139 @t149)) % 0.84/1.13 (define @t158 () (or @t139 @t149)) % 0.84/1.13 (define @t159 () (not (= @t1 @t1))) % 0.84/1.13 (define @t160 () (or @t139 @t159 @t149)) % 0.84/1.13 (define @t161 () (and (or (not (= @t10 tptp.nil)) @t148) @t93)) % 0.84/1.13 (define @t162 () (not @t13)) % 0.84/1.13 (define @t163 () (or @t100 @t162 @t100 @t161)) % 0.84/1.13 (define @t164 () (or @t162 @t100 @t161)) % 0.84/1.13 (define @t165 () (forall @t14 @t164)) % 0.84/1.13 (define @t166 () (or @t99 @t98 @t78 @t165)) % 0.84/1.13 (define @t167 () (or @t99 @t98 @t78 @t164)) % 0.84/1.13 (define @t168 () (or @t162 @t100 @t99 @t98 @t78 @t161)) % 0.84/1.13 (define @t169 () (or @t100 @t99 @t98 @t78 @t161)) % 0.84/1.13 (define @t170 () (@quantifiers_skolemize @t122 1)) % 0.84/1.13 (define @t171 () (tptp.frontsegP @t170 @t123)) % 0.84/1.13 (define @t172 () (not @t171)) % 0.84/1.13 (define @t173 () (or (not (tptp.neq @t123 tptp.nil)) @t172)) % 0.84/1.13 (define @t174 () (= tptp.nil @t123)) % 0.84/1.13 (define @t175 () (not @t174)) % 0.84/1.13 (define @t176 () (= tptp.nil @t170)) % 0.84/1.13 (define @t177 () (not @t176)) % 0.84/1.13 (define @t178 () (or @t177 @t175)) % 0.84/1.13 (define @t179 () (and @t178 @t173)) % 0.84/1.13 (define @t180 () (tptp.segmentP @t170 @t123)) % 0.84/1.13 (define @t181 () (not (tptp.neq @t170 tptp.nil))) % 0.84/1.13 (define @t182 () (tptp.ssList @t170)) % 0.84/1.13 (define @t183 () (not @t182)) % 0.84/1.13 (define @t184 () (tptp.ssList @t123)) % 0.84/1.13 (define @t185 () (not @t184)) % 0.84/1.13 (define @t186 () (or @t185 @t183 @t181 @t180 @t179)) % 0.84/1.13 (define @t187 () (not @t186)) % 0.84/1.13 (define @t188 () (not @t122)) % 0.84/1.13 (define @t189 () (= @t123 tptp.nil)) % 0.84/1.13 (define @t190 () (not @t189)) % 0.84/1.13 (define @t191 () (or @t177 @t190)) % 0.84/1.13 (define @t192 () (and @t191 @t173)) % 0.84/1.13 (define @t193 () (or @t185 @t183 @t181 @t180 @t192)) % 0.84/1.13 (define @t194 () (not @t193)) % 0.84/1.13 (define @t195 () (@list true)) % 0.84/1.13 (define @t196 () (@list @t186)) % 0.84/1.13 (define @t197 () (tptp.app tptp.nil @t123)) % 0.84/1.13 (define @t198 () (= @t123 @t197)) % 0.84/1.13 (define @t199 () (or @t185 @t198)) % 0.84/1.13 (define @t200 () (@list false false)) % 0.84/1.13 (define @t201 () (@var "BOUND_VARIABLE_8382" $$unsorted)) % 0.84/1.13 (define @t202 () (@var "BOUND_VARIABLE_8405" $$unsorted)) % 0.84/1.13 (define @t203 () (not (tptp.ssList @t201))) % 0.84/1.13 (define @t204 () (@list @t12 @t201)) % 0.84/1.13 (define @t205 () (= (tptp.segmentP @t2 @t202) (not (forall @t204 (or @t150 @t203 (not (= @t2 (tptp.app (tptp.app @t12 @t202) @t201)))))))) % 0.84/1.13 (define @t206 () (not (tptp.ssList @t202))) % 0.84/1.13 (define @t207 () (or @t206 @t205)) % 0.84/1.13 (define @t208 () (or @t120 @t207)) % 0.84/1.13 (define @t209 () (forall (@list @t2 @t202) @t208)) % 0.84/1.13 (define @t210 () (@list @t202)) % 0.84/1.13 (define @t211 () (forall @t210 @t208)) % 0.84/1.13 (define @t212 () (forall @t210 @t207)) % 0.84/1.13 (define @t213 () (or @t120 @t212)) % 0.84/1.13 (define @t214 () (not (= @t2 (tptp.app @t29 @t201)))) % 0.84/1.13 (define @t215 () (or @t150 @t203 @t214)) % 0.84/1.13 (define @t216 () (= @t36 (not (forall @t204 @t215)))) % 0.84/1.13 (define @t217 () (forall @t7 (or @t139 @t216))) % 0.84/1.13 (define @t218 () (or @t203 @t214)) % 0.84/1.13 (define @t219 () (or @t150 @t218)) % 0.84/1.13 (define @t220 () (forall @t204 @t219)) % 0.84/1.13 (define @t221 () (@list @t201)) % 0.84/1.13 (define @t222 () (forall @t221 @t219)) % 0.84/1.13 (define @t223 () (forall @t221 @t218)) % 0.84/1.13 (define @t224 () (or @t150 @t223)) % 0.84/1.13 (define @t225 () (= @t2 @t31)) % 0.84/1.13 (define @t226 () (forall @t14 (or @t162 (not @t225)))) % 0.84/1.13 (define @t227 () (not @t226)) % 0.84/1.13 (define @t228 () (and @t15 @t227)) % 0.84/1.13 (define @t229 () (forall @t16 (not @t228))) % 0.84/1.13 (define @t230 () (not @t229)) % 0.84/1.13 (define @t231 () (and @t13 @t225)) % 0.84/1.13 (define @t232 () (forall @t14 (not @t231))) % 0.84/1.13 (define @t233 () (not @t232)) % 0.84/1.13 (define @t234 () (@list @t170 @t123)) % 0.84/1.13 (define @t235 () (forall @t204 (or @t150 @t203 (not (= @t170 (tptp.app (tptp.app @t12 @t123) @t201)))))) % 0.84/1.13 (define @t236 () (not @t235)) % 0.84/1.13 (define @t237 () (= @t180 @t236)) % 0.84/1.13 (define @t238 () (or @t183 @t185 @t237)) % 0.84/1.13 (define @t239 () (@list false false false)) % 0.84/1.13 (define @t240 () (not @t237)) % 0.84/1.13 (define @t241 () (@list true false)) % 0.84/1.13 (define @t242 () (= @t170 (tptp.app @t197 @t123))) % 0.84/1.13 (define @t243 () (not @t242)) % 0.84/1.13 (define @t244 () (not @t55)) % 0.84/1.13 (define @t245 () (or @t244 @t185 @t243)) % 0.84/1.13 (define @t246 () (@var "BOUND_VARIABLE_8308" $$unsorted)) % 0.84/1.13 (define @t247 () (= (tptp.frontsegP @t2 @t246) (not (forall @t16 (or @t150 (not (= @t2 (tptp.app @t246 @t12)))))))) % 0.84/1.13 (define @t248 () (not (tptp.ssList @t246))) % 0.84/1.13 (define @t249 () (or @t248 @t247)) % 0.84/1.13 (define @t250 () (or @t120 @t249)) % 0.84/1.13 (define @t251 () (forall (@list @t2 @t246) @t250)) % 0.84/1.13 (define @t252 () (@list @t246)) % 0.84/1.13 (define @t253 () (forall @t252 @t250)) % 0.84/1.13 (define @t254 () (forall @t252 @t249)) % 0.84/1.13 (define @t255 () (or @t120 @t254)) % 0.84/1.13 (define @t256 () (= @t2 @t19)) % 0.84/1.13 (define @t257 () (= @t22 (not (forall @t16 (or @t150 (not @t256)))))) % 0.84/1.13 (define @t258 () (forall @t7 (or @t139 @t257))) % 0.84/1.13 (define @t259 () (and @t15 @t256)) % 0.84/1.13 (define @t260 () (forall @t16 (not @t259))) % 0.84/1.13 (define @t261 () (not @t260)) % 0.84/1.13 (define @t262 () (forall @t16 (or @t150 (not (= @t170 (tptp.app @t123 @t12)))))) % 0.84/1.13 (define @t263 () (not @t262)) % 0.84/1.13 (define @t264 () (= @t171 @t263)) % 0.84/1.13 (define @t265 () (or @t183 @t185 @t264)) % 0.84/1.13 (define @t266 () (@quantifiers_skolemize @t262 0)) % 0.84/1.13 (define @t267 () (tptp.ssList @t266)) % 0.84/1.13 (define @t268 () (tptp.app @t123 @t266)) % 0.84/1.13 (define @t269 () (= @t170 @t268)) % 0.84/1.13 (define @t270 () (not @t269)) % 0.84/1.13 (define @t271 () (not @t267)) % 0.84/1.13 (define @t272 () (or @t271 @t270)) % 0.84/1.13 (define @t273 () (= @t170 (tptp.app @t197 @t266))) % 0.84/1.13 (define @t274 () (not @t273)) % 0.84/1.13 (define @t275 () (or @t244 @t271 @t274)) % 0.84/1.13 (define @t276 () (and @t198 @t269)) % 0.84/1.13 (define @t277 () (not @t272)) % 0.84/1.13 (define @t278 () (@list false)) % 0.84/1.13 (define @t279 () (@list @t178)) % 0.84/1.13 (define @t280 () (@var "BOUND_VARIABLE_10593" $$unsorted)) % 0.84/1.13 (define @t281 () (and (= @t280 tptp.nil) @t115)) % 0.84/1.13 (define @t282 () (= tptp.nil (tptp.app @t2 @t280))) % 0.84/1.13 (define @t283 () (= @t282 @t281)) % 0.84/1.13 (define @t284 () (not (tptp.ssList @t280))) % 0.84/1.13 (define @t285 () (or @t120 @t284 @t283)) % 0.84/1.13 (define @t286 () (or @t284 @t283)) % 0.84/1.13 (define @t287 () (or @t120 @t286)) % 0.84/1.13 (define @t288 () (@list @t2 @t280)) % 0.84/1.13 (define @t289 () (forall @t288 @t287)) % 0.84/1.13 (define @t290 () (@list @t280)) % 0.84/1.13 (define @t291 () (forall @t290 @t287)) % 0.84/1.13 (define @t292 () (forall @t290 @t286)) % 0.84/1.13 (define @t293 () (or @t120 @t292)) % 0.84/1.13 (define @t294 () (= @t86 (and @t136 @t115))) % 0.84/1.13 (define @t295 () (forall @t7 (or @t139 @t294))) % 0.84/1.13 (define @t296 () (tptp.app @t123 @t123)) % 0.84/1.13 (define @t297 () (= tptp.nil @t296)) % 0.84/1.13 (define @t298 () (and @t174 @t189)) % 0.84/1.13 (define @t299 () (= @t297 @t298)) % 0.84/1.13 (define @t300 () (or @t185 @t185 @t299)) % 0.84/1.13 (define @t301 () (forall @t288 (or @t120 @t284 (= @t282 (and (= tptp.nil @t280) @t115))))) % 0.84/1.13 (define @t302 () (= @t174 @t297)) % 0.84/1.13 (define @t303 () (or @t185 @t185 @t302)) % 0.84/1.13 (define @t304 () (not @t297)) % 0.84/1.13 (define @t305 () (not @t198)) % 0.84/1.13 (define @t306 () (and @t176 @t198 @t243)) % 0.84/1.13 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.84/1.13 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.84/1.13 (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))))))))))) % 0.84/1.13 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.84/1.13 (assume @p5 @t28) % 0.84/1.13 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t30 (exists @t16 (and @t15 (= @t29 @t2))))))))) % 0.84/1.13 (assume @p7 @t41) % 0.84/1.13 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 (not (and @t43 @t42))))))))))))))))) % 0.84/1.13 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 (or @t43 @t42)))))))))))))))) % 0.84/1.13 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 (or @t52 (tptp.lt @t12 @t1))))))))))))))))) % 0.84/1.13 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 @t43))))))))))))))) % 0.84/1.13 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 @t52))))))))))))))) % 0.84/1.13 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (forall @t48 (=> @t47 (=> @t46 (not @t53)))))))))))))))) % 0.84/1.13 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t51 (forall @t14 (=> @t13 (forall @t50 (=> @t49 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t45))) @t2) @t53))))))))))))) % 0.84/1.13 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t24 @t5))))) % 0.84/1.13 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t54)))))) % 0.84/1.13 (assume @p17 @t55) % 0.84/1.13 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t54 @t2))))))) % 0.84/1.13 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t51 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t56))))))))))) % 0.84/1.13 (assume @p20 (forall @t9 (=> @t17 (or @t58 (exists @t7 (and @t24 (exists @t16 (and @t51 (= @t57 @t2))))))))) % 0.84/1.13 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t54))))))) % 0.84/1.13 (assume @p22 (forall @t9 (=> @t17 (=> @t60 (tptp.ssItem @t59))))) % 0.84/1.13 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t54) @t1)))))) % 0.84/1.13 (assume @p24 (forall @t9 (=> @t17 (=> @t60 (tptp.ssList @t61))))) % 0.84/1.13 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t54) @t2)))))) % 0.84/1.13 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (tptp.ssList @t62)))))) % 0.84/1.13 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t51 (= (tptp.cons @t12 @t63) (tptp.app @t57 @t2))))))))) % 0.84/1.13 (assume @p28 @t66) % 0.84/1.13 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t68 @t67) @t3)))))) % 0.84/1.13 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t68 @t43) (tptp.leq @t2 @t12))))))))) % 0.84/1.13 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.84/1.13 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t69 @t67)))))) % 0.84/1.13 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t71 (not @t70))))))) % 0.84/1.13 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t71 @t52) @t72)))))))) % 0.36/1.13 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t73 @t70)))))) % 0.36/1.13 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t74))))))))) % 0.36/1.13 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t74))))))))) % 0.36/1.13 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.36/1.13 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.36/1.13 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t22 @t75) (tptp.frontsegP @t2 @t12))))))))) % 0.36/1.13 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t22 @t76) @t3)))))) % 0.36/1.13 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.36/1.13 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t22 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.36/1.13 (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)))))))))))) % 0.36/1.13 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.36/1.13 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t58)))) % 0.36/1.13 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t30 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.36/1.13 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t30 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.36/1.13 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.36/1.13 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t30 (tptp.rearsegP @t77 @t1))))))))) % 0.36/1.13 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.36/1.13 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t58)))) % 0.36/1.13 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t36 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.36/1.13 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t36 @t78) @t3)))))) % 0.36/1.13 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.36/1.13 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t36 (tptp.segmentP (tptp.app @t77 @t10) @t1))))))))))) % 0.36/1.13 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.36/1.13 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t58)))) % 0.36/1.13 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t79)))) % 0.36/1.13 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.36/1.13 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t79)))) % 0.36/1.13 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.36/1.13 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t79)))) % 0.36/1.13 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.36/1.13 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t79)))) % 0.36/1.13 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.36/1.13 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.totalorderedP @t83) (or @t81 (and @t82 (tptp.totalorderedP @t1) (tptp.leq @t2 @t80))))))))) % 0.36/1.13 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t79)))) % 0.36/1.13 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.36/1.13 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.strictorderedP @t83) (or @t81 (and @t82 (tptp.strictorderedP @t1) (tptp.lt @t2 @t80))))))))) % 0.36/1.13 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t79)))) % 0.36/1.13 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.36/1.13 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t79)))) % 0.36/1.13 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.36/1.13 (assume @p75 (forall @t9 (=> @t17 (=> @t60 (exists @t7 (and @t6 (= @t59 @t1))))))) % 0.36/1.13 (assume @p76 (forall @t9 (=> @t17 (=> @t60 (exists @t7 (and @t24 (= @t61 @t1))))))) % 0.36/1.13 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t82 @t60 (= @t80 @t59) (= (tptp.tl @t1) @t61)) @t56)))))) % 0.36/1.13 (assume @p78 (forall @t9 (=> @t17 (=> @t60 (= (tptp.cons @t59 @t61) @t2))))) % 0.36/1.13 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t29 @t62) @t84)))))))) % 0.36/1.13 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t19 @t63) @t84)))))))) % 0.36/1.13 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t54 (tptp.app @t18 @t2))))))) % 0.36/1.13 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.app @t62 @t12) (tptp.app @t2 @t19))))))))) % 0.36/1.13 (assume @p83 @t91) % 0.36/1.13 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.36/1.13 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t60 (= (tptp.hd @t62) @t59))))))) % 0.36/1.13 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t60 (= (tptp.tl @t62) (tptp.app @t61 @t1)))))))) % 0.36/1.13 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t69 (tptp.geq @t1 @t2)) @t3)))))) % 0.36/1.13 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t69 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.36/1.13 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.36/1.13 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.36/1.13 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t68 @t52) @t72)))))))) % 0.36/1.13 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t68 (or @t3 @t71))))))) % 0.36/1.13 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t71 (and @t4 @t68))))))) % 0.36/1.13 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t73 (not (tptp.gt @t1 @t2)))))))) % 0.36/1.13 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t51 (=> (and @t73 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.36/1.13 (assume @p96 @t110) % 0.36/1.13 (assume @p97 true) % 0.36/1.13 (step @p98 :rule bool-impl-elim :args (@t17 @t111)) % 0.36/1.13 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t111)))) % 0.36/1.13 (step @p100 :rule eq-symm :args (@t64 @t2)) % 0.36/1.13 (step @p101 :rule refl :args (@t17)) % 0.36/1.13 (step @p102 :rule cong :premises (@p101 @p100) :args (@t65)) % 0.36/1.13 (step @p103 :rule cong :premises (@p102) :args (@t66)) % 0.36/1.13 (step @p104 :rule trans :premises (@p103 @p99)) % 0.36/1.13 (step @p105 :rule eq_resolve :premises (@p28 @p104)) % 0.36/1.13 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t123))) % 0.36/1.13 (step @p107 :rule refl :args (@t114)) % 0.36/1.13 (step @p108 :rule refl :args (@t116)) % 0.36/1.13 (step @p109 :rule eq-symm :args (@t112 tptp.nil)) % 0.36/1.13 (step @p110 :rule cong :premises (@p109) :args (@t124)) % 0.36/1.13 (step @p111 :rule nary_cong :premises (@p110 @p108) :args (@t125)) % 0.36/1.13 (step @p112 :rule nary_cong :premises (@p111 @p107) :args (@t126)) % 0.36/1.13 (step @p113 :rule refl :args (@t117)) % 0.36/1.13 (step @p114 :rule refl :args (@t118)) % 0.36/1.13 (step @p115 :rule refl :args (@t119)) % 0.36/1.13 (step @p116 :rule refl :args (@t120)) % 0.36/1.13 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114 @p113 @p112) :args (@t127)) % 0.36/1.13 (step @p118 :rule aci_norm :args ((= @t129 @t127))) 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@p471 :rule symm :premises (@p470)) % 0.36/1.13 (step @p472 :rule cong :premises (@p471) :args ((forall @t9 (or @t120 @t295)))) % 0.36/1.13 (step @p473 :rule trans :premises (@p472 @p466)) % 0.36/1.13 (step @p474 :rule trans :premises (@p473 @p465)) % 0.36/1.13 (step @p475 :rule bool-impl-elim :args (@t17 @t295)) % 0.36/1.13 (step @p476 :rule cong :premises (@p475) :args ((forall @t9 (=> @t17 @t295)))) % 0.36/1.13 (step @p477 :rule trans :premises (@p476 @p474)) % 0.36/1.13 (step @p478 :rule bool-impl-elim :args (@t24 @t294)) % 0.36/1.13 (step @p479 :rule cong :premises (@p478) :args ((forall @t7 (=> @t24 @t294)))) % 0.36/1.13 (step @p480 :rule eq-symm :args (tptp.nil @t2)) % 0.36/1.13 (step @p481 :rule eq-symm :args (tptp.nil @t1)) % 0.36/1.13 (step @p482 :rule nary_cong :premises (@p481 @p480) :args (@t85)) % 0.36/1.13 (step @p483 :rule refl :args (@t86)) % 0.36/1.13 (step @p484 :rule cong :premises (@p483 @p482) :args (@t87)) % 0.36/1.13 (step @p485 :rule cong :premises (@p231 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(@t300)) % 0.36/1.13 (step @p501 :rule refl :args (@t301)) % 0.36/1.13 (step @p502 :rule cong :premises (@p501 @p500) :args ((=> @t301 @t300))) % 0.36/1.13 (assume-push @p566 @t301) % 0.36/1.13 (step @p504 :rule instantiate :premises (@p491) :args ((@list @t123 @t123))) % 0.36/1.13 (step-pop @p567 :rule scope :premises (@p504)) % 0.36/1.13 (step @p505 :rule process_scope :premises (@p567) :args (@t300)) % 0.36/1.13 (step @p507 :rule eq_resolve :premises (@p505 @p502)) % 0.36/1.13 (step @p508 :rule implies_elim :premises (@p507)) % 0.36/1.13 (step @p509 :rule chain_m_resolution :premises (@p508 @p491) :args (@t303 @t278 (@list @t301))) % 0.36/1.13 (step @p510 :rule cnf_or_pos :args (@t303)) % 0.36/1.13 (step @p511 :rule factoring :premises (@p510)) % 0.36/1.13 (step @p512 :rule reordering :premises (@p511) :args ((or @t185 @t302 (not @t303)))) % 0.36/1.13 (step @p513 :rule chain_m_resolution :premises (@p512 @p271 @p509) :args (@t302 @t200 (@list @t184 @t303))) % 0.36/1.13 (step @p514 :rule bool-double-not-elim :args (@t174)) % 0.36/1.13 (step @p515 :rule nary_cong :premises (@p450 @p514) :args ((or @t178 (not @t175)))) % 0.36/1.13 (step @p516 :rule cnf_or_neg :args (@t178 1)) % 0.36/1.13 (step @p517 :rule eq_resolve :premises (@p516 @p515)) % 0.36/1.13 (step @p518 :rule reordering :premises (@p517) :args ((or @t174 @t178))) % 0.36/1.13 (step @p519 :rule chain_m_resolution :premises (@p518 @p448) :args (@t174 @t195 @t279)) % 0.36/1.13 (step @p520 :rule cnf_equiv_pos1 :args (@t302)) % 0.36/1.13 (step @p521 :rule reordering :premises (@p520) :args ((or @t175 @t297 (not @t302)))) % 0.36/1.13 (step @p522 :rule chain_m_resolution :premises (@p521 @p519 @p513) :args (@t297 @t200 (@list @t174 @t302))) % 0.36/1.13 (step @p523 :rule refl :args (@t304)) % 0.36/1.13 (step @p524 :rule bool-double-not-elim :args (@t242)) % 0.36/1.13 (step @p525 :rule refl :args (@t305)) % 0.36/1.13 (step @p526 :rule nary_cong :premises (@p246 @p525 @p524 @p523) :args ((or @t177 @t305 (not @t243) @t304))) % 0.36/1.13 (assume-push @p568 @t176) % 0.36/1.13 (assume-push @p569 @t198) % 0.36/1.13 (assume-push @p570 @t243) % 0.36/1.13 (assume-push @p571 @t243) % 0.36/1.13 (assume-push @p572 @t176) % 0.36/1.13 (assume-push @p573 @t198) % 0.36/1.13 (step @p533 :rule false_intro :premises (@p354)) % 0.36/1.13 (step @p534 :rule refl :args (@t123)) % 0.36/1.13 (step @p535 :rule cong :premises (@p274 @p534) :args (@t296)) % 0.36/1.13 (step @p536 :rule cong :premises (@p568 @p535) :args (@t297)) % 0.36/1.13 (step @p537 :rule trans :premises (@p536 @p533)) % 0.36/1.13 (step @p538 :rule false_elim :premises (@p537)) % 0.36/1.13 (step-pop @p574 :rule scope :premises (@p538)) % 0.36/1.13 (step-pop @p575 :rule scope :premises (@p574)) % 0.36/1.13 (step-pop @p576 :rule scope :premises (@p575)) % 0.36/1.13 (step @p539 :rule process_scope :premises (@p576) :args (@t304)) % 0.36/1.13 (step @p543 :rule and_intro :premises (@p354 @p568 @p274)) % 0.36/1.13 (step @p544 :rule modus_ponens :premises (@p543 @p539)) % 0.36/1.13 (step-pop @p577 :rule scope :premises (@p544)) % 0.36/1.13 (step-pop @p578 :rule scope :premises (@p577)) % 0.36/1.13 (step-pop @p579 :rule scope :premises (@p578)) % 0.36/1.13 (step @p545 :rule process_scope :premises (@p579) :args (@t304)) % 0.36/1.13 (step @p549 :rule implies_elim :premises (@p545)) % 0.36/1.13 (step @p550 :rule cnf_and_neg :args (@t306)) % 0.36/1.13 (step @p551 :rule resolution :premises (@p550 @p549) :args (true @t306)) % 0.36/1.13 (step @p552 :rule eq_resolve :premises (@p551 @p526)) % 0.36/1.13 (step @p553 false :rule chain_m_resolution :premises (@p552 @p522 @p455 @p354 @p274) :args (false (@list false false true false) (@list @t297 @t176 @t242 @t198))) % 0.36/1.13 ) % 0.36/1.13 % SZS output end Proof % 0.36/1.13 % cvc5 exiting %------------------------------------------------------------------------------