%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC110+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 : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:05 AM UTC 2026 % Result : Theorem 1.02s 1.25s % Output : Proof 1.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC110+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 % 0.16/0.34 % Computer : n009.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 19:15:14 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.02/1.25 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.02/1.25 % SZS status Theorem % 1.02/1.25 % SZS output start Proof % 1.02/1.25 ( % 1.02/1.25 (declare-sort $$unsorted 0) % 1.02/1.25 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.02/1.25 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.02/1.25 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.25 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.25 (declare-const tptp.nil $$unsorted) % 1.02/1.25 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.02/1.25 (define @t1 () (@var "V" $$unsorted)) % 1.02/1.25 (define @t2 () (@var "U" $$unsorted)) % 1.02/1.25 (define @t3 () (= @t2 @t1)) % 1.02/1.25 (define @t4 () (not @t3)) % 1.02/1.25 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 1.02/1.25 (define @t6 () (tptp.ssItem @t1)) % 1.02/1.25 (define @t7 () (@list @t1)) % 1.02/1.25 (define @t8 () (tptp.ssItem @t2)) % 1.02/1.25 (define @t9 () (@list @t2)) % 1.02/1.25 (define @t10 () (@var "X" $$unsorted)) % 1.02/1.25 (define @t11 () (tptp.cons @t1 @t10)) % 1.02/1.25 (define @t12 () (@var "W" $$unsorted)) % 1.02/1.25 (define @t13 () (tptp.ssList @t10)) % 1.02/1.25 (define @t14 () (@list @t10)) % 1.02/1.25 (define @t15 () (tptp.ssList @t12)) % 1.02/1.25 (define @t16 () (@list @t12)) % 1.02/1.25 (define @t17 () (tptp.ssList @t2)) % 1.02/1.25 (define @t18 () (tptp.cons @t1 tptp.nil)) % 1.02/1.25 (define @t19 () (tptp.app @t1 @t12)) % 1.02/1.25 (define @t20 () (tptp.frontsegP @t2 @t1)) % 1.02/1.25 (define @t21 () (tptp.ssList @t1)) % 1.02/1.25 (define @t22 () (tptp.app @t12 @t1)) % 1.02/1.25 (define @t23 () (tptp.rearsegP @t2 @t1)) % 1.02/1.25 (define @t24 () (tptp.app @t22 @t10)) % 1.02/1.25 (define @t25 () (and @t13 (= @t24 @t2))) % 1.02/1.25 (define @t26 () (exists @t14 @t25)) % 1.02/1.25 (define @t27 () (and @t15 @t26)) % 1.02/1.25 (define @t28 () (exists @t16 @t27)) % 1.02/1.25 (define @t29 () (tptp.segmentP @t2 @t1)) % 1.02/1.25 (define @t30 () (= @t29 @t28)) % 1.02/1.25 (define @t31 () (=> @t21 @t30)) % 1.02/1.25 (define @t32 () (forall @t7 @t31)) % 1.02/1.25 (define @t33 () (=> @t17 @t32)) % 1.02/1.25 (define @t34 () (forall @t9 @t33)) % 1.02/1.25 (define @t35 () (tptp.leq @t12 @t1)) % 1.02/1.25 (define @t36 () (tptp.leq @t1 @t12)) % 1.02/1.25 (define @t37 () (@var "Z" $$unsorted)) % 1.02/1.25 (define @t38 () (@var "Y" $$unsorted)) % 1.02/1.25 (define @t39 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t38)) (tptp.cons @t12 @t37)) @t2)) % 1.02/1.25 (define @t40 () (tptp.ssList @t37)) % 1.02/1.25 (define @t41 () (@list @t37)) % 1.02/1.25 (define @t42 () (tptp.ssList @t38)) % 1.02/1.25 (define @t43 () (@list @t38)) % 1.02/1.25 (define @t44 () (tptp.ssItem @t12)) % 1.02/1.25 (define @t45 () (tptp.lt @t1 @t12)) % 1.02/1.25 (define @t46 () (= @t1 @t12)) % 1.02/1.25 (define @t47 () (tptp.equalelemsP @t2)) % 1.02/1.25 (define @t48 () (forall @t7 (=> @t21 @t5))) % 1.02/1.25 (define @t49 () (=> @t17 @t48)) % 1.02/1.25 (define @t50 () (forall @t9 @t49)) % 1.02/1.25 (define @t51 () (tptp.cons @t1 @t2)) % 1.02/1.25 (define @t52 () (tptp.ssList tptp.nil)) % 1.02/1.25 (define @t53 () (= @t1 @t2)) % 1.02/1.25 (define @t54 () (tptp.cons @t12 @t1)) % 1.02/1.25 (define @t55 () (= tptp.nil @t2)) % 1.02/1.25 (define @t56 () (tptp.hd @t2)) % 1.02/1.25 (define @t57 () (not @t55)) % 1.02/1.25 (define @t58 () (tptp.tl @t2)) % 1.02/1.25 (define @t59 () (tptp.app @t2 @t1)) % 1.02/1.25 (define @t60 () (tptp.app @t1 @t2)) % 1.02/1.25 (define @t61 () (tptp.app tptp.nil @t2)) % 1.02/1.25 (define @t62 () (=> @t17 (= @t61 @t2))) % 1.02/1.25 (define @t63 () (forall @t9 @t62)) % 1.02/1.25 (define @t64 () (tptp.leq @t1 @t2)) % 1.02/1.25 (define @t65 () (tptp.leq @t2 @t1)) % 1.02/1.25 (define @t66 () (tptp.geq @t2 @t1)) % 1.02/1.25 (define @t67 () (tptp.lt @t1 @t2)) % 1.02/1.25 (define @t68 () (tptp.lt @t2 @t1)) % 1.02/1.25 (define @t69 () (tptp.lt @t2 @t12)) % 1.02/1.25 (define @t70 () (tptp.gt @t2 @t1)) % 1.02/1.25 (define @t71 () (tptp.memberP @t12 @t2)) % 1.02/1.25 (define @t72 () (tptp.app @t12 @t2)) % 1.02/1.25 (define @t73 () (tptp.segmentP @t1 @t2)) % 1.02/1.25 (define @t74 () (tptp.segmentP tptp.nil @t2)) % 1.02/1.25 (define @t75 () (=> @t17 (= @t74 @t55))) % 1.02/1.25 (define @t76 () (forall @t9 @t75)) % 1.02/1.25 (define @t77 () (tptp.cons @t2 tptp.nil)) % 1.02/1.25 (define @t78 () (tptp.hd @t1)) % 1.02/1.25 (define @t79 () (= tptp.nil @t1)) % 1.02/1.25 (define @t80 () (not @t79)) % 1.02/1.25 (define @t81 () (tptp.cons @t2 @t1)) % 1.02/1.25 (define @t82 () (= @t12 @t2)) % 1.02/1.25 (define @t83 () (tptp.neq @t2 tptp.nil)) % 1.02/1.25 (define @t84 () (or (not (tptp.neq @t1 tptp.nil)) (and @t83 @t73))) % 1.02/1.25 (define @t85 () (or @t80 @t55)) % 1.02/1.25 (define @t86 () (and @t85 @t84)) % 1.02/1.25 (define @t87 () (not (= tptp.nil @t10))) % 1.02/1.25 (define @t88 () (and @t87 (= tptp.nil @t12))) % 1.02/1.25 (define @t89 () (tptp.cons @t37 tptp.nil)) % 1.02/1.25 (define @t90 () (@var "X2" $$unsorted)) % 1.02/1.25 (define @t91 () (tptp.app @t90 @t89)) % 1.02/1.25 (define @t92 () (tptp.ssList @t90)) % 1.02/1.25 (define @t93 () (and @t92 (= @t91 @t12))) % 1.02/1.25 (define @t94 () (@list @t90)) % 1.02/1.25 (define @t95 () (exists @t94 @t93)) % 1.02/1.25 (define @t96 () (@var "X1" $$unsorted)) % 1.02/1.25 (define @t97 () (tptp.app @t89 @t96)) % 1.02/1.25 (define @t98 () (tptp.ssList @t96)) % 1.02/1.25 (define @t99 () (and @t98 (= @t97 @t38) @t95)) % 1.02/1.25 (define @t100 () (@list @t96)) % 1.02/1.25 (define @t101 () (exists @t100 @t99)) % 1.02/1.25 (define @t102 () (tptp.ssItem @t37)) % 1.02/1.25 (define @t103 () (and @t102 @t101)) % 1.02/1.25 (define @t104 () (exists @t41 @t103)) % 1.02/1.25 (define @t105 () (not (tptp.equalelemsP @t12))) % 1.02/1.25 (define @t106 () (tptp.app @t12 @t38)) % 1.02/1.25 (define @t107 () (not (= @t106 @t10))) % 1.02/1.25 (define @t108 () (or @t107 @t105 @t104)) % 1.02/1.25 (define @t109 () (=> @t42 @t108)) % 1.02/1.25 (define @t110 () (forall @t43 @t109)) % 1.02/1.25 (define @t111 () (not (= @t2 @t12))) % 1.02/1.25 (define @t112 () (not (= @t1 @t10))) % 1.02/1.25 (define @t113 () (or @t112 @t111 @t110 @t88 @t86)) % 1.02/1.25 (define @t114 () (=> @t13 @t113)) % 1.02/1.25 (define @t115 () (forall @t14 @t114)) % 1.02/1.25 (define @t116 () (=> @t15 @t115)) % 1.02/1.25 (define @t117 () (forall @t16 @t116)) % 1.02/1.25 (define @t118 () (=> @t21 @t117)) % 1.02/1.25 (define @t119 () (forall @t7 @t118)) % 1.02/1.25 (define @t120 () (=> @t17 @t119)) % 1.02/1.25 (define @t121 () (forall @t9 @t120)) % 1.02/1.25 (define @t122 () (not @t121)) % 1.02/1.25 (define @t123 () (@var "BOUND_VARIABLE_11167" $$unsorted)) % 1.02/1.25 (define @t124 () (@var "BOUND_VARIABLE_10990" $$unsorted)) % 1.02/1.25 (define @t125 () (tptp.app @t89 @t124)) % 1.02/1.25 (define @t126 () (not (tptp.ssList @t124))) % 1.02/1.25 (define @t127 () (@var "BOUND_VARIABLE_10982" $$unsorted)) % 1.02/1.25 (define @t128 () (tptp.app @t127 @t89)) % 1.02/1.25 (define @t129 () (not (= @t2 @t128))) % 1.02/1.25 (define @t130 () (not (tptp.ssList @t127))) % 1.02/1.25 (define @t131 () (not @t102)) % 1.02/1.25 (define @t132 () (@list @t37 @t127 @t124)) % 1.02/1.25 (define @t133 () (not (forall @t132 (or @t131 @t130 @t129 @t126 (not (= @t125 @t123)))))) % 1.02/1.25 (define @t134 () (not (tptp.ssList @t123))) % 1.02/1.25 (define @t135 () (= @t2 tptp.nil)) % 1.02/1.25 (define @t136 () (tptp.app @t2 @t123)) % 1.02/1.25 (define @t137 () (not (= tptp.nil @t136))) % 1.02/1.25 (define @t138 () (and @t137 @t135)) % 1.02/1.25 (define @t139 () (and (or @t137 @t135) (or (not (tptp.neq @t136 tptp.nil)) (and @t83 (tptp.segmentP @t136 @t2))))) % 1.02/1.25 (define @t140 () (not (tptp.ssList @t136))) % 1.02/1.25 (define @t141 () (not @t47)) % 1.02/1.25 (define @t142 () (not @t17)) % 1.02/1.25 (define @t143 () (or @t142 @t141 @t140 @t139 @t138 @t134 @t133)) % 1.02/1.25 (define @t144 () (@list @t2 @t123)) % 1.02/1.25 (define @t145 () (forall @t144 @t143)) % 1.02/1.25 (define @t146 () (@quantifiers_skolemize @t145 1)) % 1.02/1.25 (define @t147 () (@quantifiers_skolemize @t145 0)) % 1.02/1.25 (define @t148 () (tptp.app @t147 @t146)) % 1.02/1.25 (define @t149 () (= tptp.nil @t148)) % 1.02/1.25 (define @t150 () (= tptp.nil @t147)) % 1.02/1.25 (define @t151 () (not @t149)) % 1.02/1.25 (define @t152 () (or @t151 @t150)) % 1.02/1.25 (define @t153 () (not @t151)) % 1.02/1.25 (define @t154 () (or @t140 @t139 @t138 @t134 @t133)) % 1.02/1.25 (define @t155 () (or @t142 @t141 @t154)) % 1.02/1.25 (define @t156 () (forall @t144 @t155)) % 1.02/1.25 (define @t157 () (@list @t123)) % 1.02/1.25 (define @t158 () (forall @t157 @t155)) % 1.02/1.25 (define @t159 () (forall @t157 @t154)) % 1.02/1.25 (define @t160 () (@var "BOUND_VARIABLE_11120" $$unsorted)) % 1.02/1.25 (define @t161 () (@list @t160)) % 1.02/1.25 (define @t162 () (or @t142 @t141 @t159)) % 1.02/1.25 (define @t163 () (not (forall @t132 (or @t131 @t130 @t129 @t126 (not (= @t125 @t160)))))) % 1.02/1.25 (define @t164 () (not (tptp.ssList @t160))) % 1.02/1.25 (define @t165 () (tptp.app @t2 @t160)) % 1.02/1.25 (define @t166 () (not (= tptp.nil @t165))) % 1.02/1.25 (define @t167 () (and @t166 @t135)) % 1.02/1.25 (define @t168 () (or (not (tptp.neq @t165 tptp.nil)) (and @t83 (tptp.segmentP @t165 @t2)))) % 1.02/1.25 (define @t169 () (and (or @t166 @t135) @t168)) % 1.02/1.25 (define @t170 () (not (tptp.ssList @t165))) % 1.02/1.25 (define @t171 () (or @t170 @t169 @t167 @t164 @t163)) % 1.02/1.25 (define @t172 () (@list @t160)) % 1.02/1.25 (define @t173 () (or @t142 @t141 (forall @t172 @t171))) % 1.02/1.25 (define @t174 () (not (= @t165 @t165))) % 1.02/1.25 (define @t175 () (not (= @t165 tptp.nil))) % 1.02/1.25 (define @t176 () (and @t175 @t135)) % 1.02/1.25 (define @t177 () (or @t175 @t135)) % 1.02/1.25 (define @t178 () (and @t177 @t168)) % 1.02/1.25 (define @t179 () (or @t170 @t178 @t176 @t164 @t174 @t163)) % 1.02/1.25 (define @t180 () (not (= @t1 @t165))) % 1.02/1.25 (define @t181 () (not (= @t1 tptp.nil))) % 1.02/1.25 (define @t182 () (and @t181 @t135)) % 1.02/1.25 (define @t183 () (and (or @t181 @t135) @t84)) % 1.02/1.25 (define @t184 () (not @t21)) % 1.02/1.25 (define @t185 () (or @t180 @t184 @t183 @t182 @t164 @t180 @t163)) % 1.02/1.25 (define @t186 () (or @t184 @t183 @t182 @t164 @t180 @t163)) % 1.02/1.25 (define @t187 () (forall @t7 @t186)) % 1.02/1.25 (define @t188 () (forall @t172 @t187)) % 1.02/1.25 (define @t189 () (forall (@list @t160 @t1) @t186)) % 1.02/1.25 (define @t190 () (@list @t1 @t160)) % 1.02/1.25 (define @t191 () (or @t164 @t180 @t163)) % 1.02/1.25 (define @t192 () (or @t184 @t183 @t182 @t191)) % 1.02/1.25 (define @t193 () (forall @t190 @t192)) % 1.02/1.25 (define @t194 () (forall @t172 @t192)) % 1.02/1.25 (define @t195 () (forall @t172 @t191)) % 1.02/1.25 (define @t196 () (@var "BOUND_VARIABLE_11072" $$unsorted)) % 1.02/1.25 (define @t197 () (@list @t196)) % 1.02/1.25 (define @t198 () (or @t184 @t183 @t182 @t195)) % 1.02/1.25 (define @t199 () (not (= @t125 @t196))) % 1.02/1.25 (define @t200 () (not (forall @t132 (or @t131 @t130 @t129 @t126 @t199)))) % 1.02/1.25 (define @t201 () (not (= @t1 (tptp.app @t2 @t196)))) % 1.02/1.25 (define @t202 () (not (tptp.ssList @t196))) % 1.02/1.25 (define @t203 () (or @t202 @t201 @t200)) % 1.02/1.25 (define @t204 () (@list @t196)) % 1.02/1.25 (define @t205 () (forall @t204 @t203)) % 1.02/1.25 (define @t206 () (or @t184 @t183 @t182 @t205)) % 1.02/1.25 (define @t207 () (forall @t7 @t206)) % 1.02/1.25 (define @t208 () (or @t142 @t141 @t207)) % 1.02/1.25 (define @t209 () (or @t142 @t141 @t206)) % 1.02/1.25 (define @t210 () (or @t184 @t183 @t142 @t141 @t182 @t205)) % 1.02/1.25 (define @t211 () (or @t183 @t184 @t142 @t141 @t182 @t205)) % 1.02/1.25 (define @t212 () (or @t142 @t141 @t182 @t205)) % 1.02/1.25 (define @t213 () (or @t142 @t141 @t182 @t203)) % 1.02/1.25 (define @t214 () (or @t142 @t141 @t182 @t202 @t201 @t200)) % 1.02/1.25 (define @t215 () (not (= @t2 @t2))) % 1.02/1.25 (define @t216 () (or @t142 @t215 @t141 @t182 @t202 @t201 @t200)) % 1.02/1.25 (define @t217 () (not (= @t12 @t128))) % 1.02/1.25 (define @t218 () (not (forall @t132 (or @t131 @t130 @t217 @t126 @t199)))) % 1.02/1.25 (define @t219 () (not (= @t1 (tptp.app @t12 @t196)))) % 1.02/1.25 (define @t220 () (= @t12 tptp.nil)) % 1.02/1.25 (define @t221 () (and @t181 @t220)) % 1.02/1.25 (define @t222 () (not @t15)) % 1.02/1.25 (define @t223 () (or @t111 @t222 @t111 @t105 @t221 @t202 @t219 @t218)) % 1.02/1.25 (define @t224 () (or @t222 @t111 @t105 @t221 @t202 @t219 @t218)) % 1.02/1.25 (define @t225 () (forall @t16 @t224)) % 1.02/1.25 (define @t226 () (forall @t204 @t225)) % 1.02/1.25 (define @t227 () (forall (@list @t196 @t12) @t224)) % 1.02/1.25 (define @t228 () (@list @t12 @t196)) % 1.02/1.25 (define @t229 () (or @t202 @t219 @t218)) % 1.02/1.25 (define @t230 () (or @t222 @t111 @t105 @t221 @t229)) % 1.02/1.25 (define @t231 () (forall @t228 @t230)) % 1.02/1.25 (define @t232 () (forall @t204 @t230)) % 1.02/1.25 (define @t233 () (forall @t204 @t229)) % 1.02/1.25 (define @t234 () (@var "BOUND_VARIABLE_11027" $$unsorted)) % 1.02/1.25 (define @t235 () (@list @t234)) % 1.02/1.25 (define @t236 () (or @t222 @t111 @t105 @t221 @t233)) % 1.02/1.25 (define @t237 () (not (forall @t132 (or @t131 @t130 @t217 @t126 (not (= @t125 @t234)))))) % 1.02/1.25 (define @t238 () (tptp.app @t12 @t234)) % 1.02/1.25 (define @t239 () (not (= @t1 @t238))) % 1.02/1.25 (define @t240 () (not (tptp.ssList @t234))) % 1.02/1.25 (define @t241 () (or @t240 @t239 @t237)) % 1.02/1.25 (define @t242 () (@list @t234)) % 1.02/1.25 (define @t243 () (forall @t242 @t241)) % 1.02/1.25 (define @t244 () (or @t222 @t111 @t105 @t221 @t243)) % 1.02/1.25 (define @t245 () (forall @t16 @t244)) % 1.02/1.25 (define @t246 () (or @t183 @t184 @t245)) % 1.02/1.25 (define @t247 () (or @t183 @t184 @t244)) % 1.02/1.25 (define @t248 () (or @t222 @t111 @t183 @t105 @t184 @t221 @t243)) % 1.02/1.25 (define @t249 () (or @t111 @t183 @t105 @t184 @t221 @t243)) % 1.02/1.25 (define @t250 () (or @t184 @t221 @t243)) % 1.02/1.25 (define @t251 () (or @t184 @t221 @t241)) % 1.02/1.25 (define @t252 () (or @t184 @t221 @t240 @t239 @t237)) % 1.02/1.25 (define @t253 () (not (= @t1 @t1))) % 1.02/1.25 (define @t254 () (or @t184 @t253 @t221 @t240 @t239 @t237)) % 1.02/1.25 (define @t255 () (not (= @t10 @t238))) % 1.02/1.25 (define @t256 () (and (not (= @t10 tptp.nil)) @t220)) % 1.02/1.25 (define @t257 () (not @t13)) % 1.02/1.25 (define @t258 () (or @t112 @t257 @t112 @t256 @t240 @t255 @t237)) % 1.02/1.25 (define @t259 () (or @t257 @t112 @t256 @t240 @t255 @t237)) % 1.02/1.25 (define @t260 () (forall @t14 @t259)) % 1.02/1.25 (define @t261 () (forall @t242 @t260)) % 1.02/1.25 (define @t262 () (forall (@list @t234 @t10) @t259)) % 1.02/1.25 (define @t263 () (@list @t10 @t234)) % 1.02/1.25 (define @t264 () (not (= @t234 @t125))) % 1.02/1.25 (define @t265 () (or @t131 @t130 @t217 @t126 @t264)) % 1.02/1.25 (define @t266 () (forall @t132 @t265)) % 1.02/1.25 (define @t267 () (not @t266)) % 1.02/1.25 (define @t268 () (or @t257 @t112 @t256 @t240 @t255 @t267)) % 1.02/1.25 (define @t269 () (or @t240 @t255 @t267)) % 1.02/1.25 (define @t270 () (or @t257 @t112 @t256 @t269)) % 1.02/1.25 (define @t271 () (forall @t263 @t270)) % 1.02/1.25 (define @t272 () (forall @t242 @t270)) % 1.02/1.25 (define @t273 () (forall @t242 @t269)) % 1.02/1.25 (define @t274 () (or @t257 @t112 @t256 @t273)) % 1.02/1.25 (define @t275 () (not (= @t38 @t125))) % 1.02/1.25 (define @t276 () (or @t131 @t130 @t217 @t126 @t275)) % 1.02/1.25 (define @t277 () (not (forall @t132 @t276))) % 1.02/1.25 (define @t278 () (not (= @t10 @t106))) % 1.02/1.25 (define @t279 () (not @t42)) % 1.02/1.25 (define @t280 () (or @t279 @t278 @t277)) % 1.02/1.25 (define @t281 () (forall @t43 @t280)) % 1.02/1.25 (define @t282 () (or @t257 @t112 @t256 @t281)) % 1.02/1.25 (define @t283 () (forall @t14 @t282)) % 1.02/1.25 (define @t284 () (or @t111 @t183 @t105 @t283)) % 1.02/1.25 (define @t285 () (or @t111 @t183 @t105 @t282)) % 1.02/1.25 (define @t286 () (or @t257 @t112 @t111 @t256 @t183 @t105 @t281)) % 1.02/1.25 (define @t287 () (or @t112 @t111 @t256 @t183 @t105 @t281)) % 1.02/1.25 (define @t288 () (or @t105 @t281)) % 1.02/1.25 (define @t289 () (or @t105 @t280)) % 1.02/1.25 (define @t290 () (or @t279 @t278 @t105 @t277)) % 1.02/1.25 (define @t291 () (or @t278 @t105 @t277)) % 1.02/1.25 (define @t292 () (or @t126 @t275)) % 1.02/1.25 (define @t293 () (or @t130 @t217)) % 1.02/1.25 (define @t294 () (or @t131 @t293 @t292)) % 1.02/1.25 (define @t295 () (forall @t132 @t294)) % 1.02/1.25 (define @t296 () (forall (@list @t127 @t124) @t294)) % 1.02/1.25 (define @t297 () (forall (@list @t124) @t292)) % 1.02/1.25 (define @t298 () (forall (@list @t127) @t293)) % 1.02/1.25 (define @t299 () (or @t131 @t298 @t297)) % 1.02/1.25 (define @t300 () (= @t38 @t97)) % 1.02/1.25 (define @t301 () (not @t300)) % 1.02/1.25 (define @t302 () (not @t98)) % 1.02/1.25 (define @t303 () (or @t302 @t301)) % 1.02/1.25 (define @t304 () (forall @t100 @t303)) % 1.02/1.25 (define @t305 () (= @t12 @t91)) % 1.02/1.25 (define @t306 () (forall @t94 (or (not @t92) (not @t305)))) % 1.02/1.25 (define @t307 () (or @t131 @t306 @t304)) % 1.02/1.25 (define @t308 () (or @t306 @t304)) % 1.02/1.25 (define @t309 () (not @t308)) % 1.02/1.25 (define @t310 () (and @t102 @t309)) % 1.02/1.25 (define @t311 () (forall @t41 (not @t310))) % 1.02/1.25 (define @t312 () (not @t311)) % 1.02/1.25 (define @t313 () (or @t306 @t303)) % 1.02/1.25 (define @t314 () (or @t302 @t301 @t306)) % 1.02/1.25 (define @t315 () (not @t306)) % 1.02/1.25 (define @t316 () (not @t315)) % 1.02/1.25 (define @t317 () (or @t302 @t301 @t316)) % 1.02/1.25 (define @t318 () (and @t98 @t300 @t315)) % 1.02/1.25 (define @t319 () (forall @t100 (not @t318))) % 1.02/1.25 (define @t320 () (not @t319)) % 1.02/1.25 (define @t321 () (and @t92 @t305)) % 1.02/1.25 (define @t322 () (forall @t94 (not @t321))) % 1.02/1.25 (define @t323 () (not @t322)) % 1.02/1.25 (define @t324 () (not (= @t125 @t146))) % 1.02/1.25 (define @t325 () (tptp.ssList @t146)) % 1.02/1.25 (define @t326 () (not @t325)) % 1.02/1.25 (define @t327 () (and @t151 @t150)) % 1.02/1.25 (define @t328 () (tptp.segmentP @t148 @t147)) % 1.02/1.25 (define @t329 () (tptp.neq @t147 tptp.nil)) % 1.02/1.25 (define @t330 () (and @t329 @t328)) % 1.02/1.25 (define @t331 () (tptp.neq @t148 tptp.nil)) % 1.02/1.25 (define @t332 () (not @t331)) % 1.02/1.25 (define @t333 () (or @t332 @t330)) % 1.02/1.25 (define @t334 () (and @t152 @t333)) % 1.02/1.25 (define @t335 () (tptp.ssList @t148)) % 1.02/1.25 (define @t336 () (not @t335)) % 1.02/1.25 (define @t337 () (not (tptp.equalelemsP @t147))) % 1.02/1.25 (define @t338 () (tptp.ssList @t147)) % 1.02/1.25 (define @t339 () (not @t338)) % 1.02/1.25 (define @t340 () (or @t339 @t337 @t336 @t334 @t327 @t326 (not (forall @t132 (or @t131 @t130 (not (= @t128 @t147)) @t126 @t324))))) % 1.02/1.25 (define @t341 () (not @t340)) % 1.02/1.25 (define @t342 () (not @t145)) % 1.02/1.25 (define @t343 () (not (= @t147 @t128))) % 1.02/1.25 (define @t344 () (or @t131 @t130 @t343 @t126 @t324)) % 1.02/1.25 (define @t345 () (forall @t132 @t344)) % 1.02/1.25 (define @t346 () (not @t345)) % 1.02/1.25 (define @t347 () (= @t147 tptp.nil)) % 1.02/1.25 (define @t348 () (and @t151 @t347)) % 1.02/1.25 (define @t349 () (or @t151 @t347)) % 1.02/1.25 (define @t350 () (and @t349 @t333)) % 1.02/1.25 (define @t351 () (or @t339 @t337 @t336 @t350 @t348 @t326 @t346)) % 1.02/1.25 (define @t352 () (not @t351)) % 1.02/1.25 (define @t353 () (@list true)) % 1.02/1.25 (define @t354 () (@list @t340)) % 1.02/1.25 (define @t355 () (not @t150)) % 1.02/1.25 (define @t356 () (@var "BOUND_VARIABLE_9124" $$unsorted)) % 1.02/1.25 (define @t357 () (= (tptp.neq @t2 @t356) (not (= @t2 @t356)))) % 1.02/1.25 (define @t358 () (not (tptp.ssList @t356))) % 1.02/1.25 (define @t359 () (or @t142 @t358 @t357)) % 1.02/1.25 (define @t360 () (or @t358 @t357)) % 1.02/1.25 (define @t361 () (or @t142 @t360)) % 1.02/1.25 (define @t362 () (@list @t2 @t356)) % 1.02/1.25 (define @t363 () (forall @t362 @t361)) % 1.02/1.25 (define @t364 () (@list @t356)) % 1.02/1.25 (define @t365 () (forall @t364 @t361)) % 1.02/1.25 (define @t366 () (forall @t364 @t360)) % 1.02/1.25 (define @t367 () (@list @t1)) % 1.02/1.25 (define @t368 () (or @t142 @t366)) % 1.02/1.25 (define @t369 () (forall @t7 (or @t184 @t5))) % 1.02/1.25 (define @t370 () (not @t347)) % 1.02/1.25 (define @t371 () (= @t329 @t370)) % 1.02/1.25 (define @t372 () (not @t52)) % 1.02/1.25 (define @t373 () (or @t339 @t372 @t371)) % 1.02/1.25 (define @t374 () (forall @t362 @t359)) % 1.02/1.25 (define @t375 () (= @t329 @t355)) % 1.02/1.25 (define @t376 () (or @t339 @t372 @t375)) % 1.02/1.25 (define @t377 () (@list false)) % 1.02/1.25 (define @t378 () (@list false false false)) % 1.02/1.25 (define @t379 () (not @t375)) % 1.02/1.25 (define @t380 () (@var "BOUND_VARIABLE_8406" $$unsorted)) % 1.02/1.25 (define @t381 () (@var "BOUND_VARIABLE_8429" $$unsorted)) % 1.02/1.25 (define @t382 () (not (tptp.ssList @t380))) % 1.02/1.25 (define @t383 () (@list @t12 @t380)) % 1.02/1.25 (define @t384 () (= (tptp.segmentP @t2 @t381) (not (forall @t383 (or @t222 @t382 (not (= @t2 (tptp.app (tptp.app @t12 @t381) @t380)))))))) % 1.02/1.25 (define @t385 () (not (tptp.ssList @t381))) % 1.02/1.25 (define @t386 () (or @t385 @t384)) % 1.02/1.25 (define @t387 () (or @t142 @t386)) % 1.02/1.25 (define @t388 () (forall (@list @t2 @t381) @t387)) % 1.02/1.25 (define @t389 () (@list @t381)) % 1.02/1.25 (define @t390 () (forall @t389 @t387)) % 1.02/1.25 (define @t391 () (forall @t389 @t386)) % 1.02/1.25 (define @t392 () (or @t142 @t391)) % 1.02/1.25 (define @t393 () (not (= @t2 (tptp.app @t22 @t380)))) % 1.02/1.25 (define @t394 () (or @t222 @t382 @t393)) % 1.02/1.25 (define @t395 () (= @t29 (not (forall @t383 @t394)))) % 1.02/1.25 (define @t396 () (forall @t7 (or @t184 @t395))) % 1.02/1.25 (define @t397 () (or @t382 @t393)) % 1.02/1.25 (define @t398 () (or @t222 @t397)) % 1.02/1.25 (define @t399 () (forall @t383 @t398)) % 1.02/1.25 (define @t400 () (@list @t380)) % 1.02/1.25 (define @t401 () (forall @t400 @t398)) % 1.02/1.25 (define @t402 () (forall @t400 @t397)) % 1.02/1.25 (define @t403 () (or @t222 @t402)) % 1.02/1.25 (define @t404 () (= @t2 @t24)) % 1.02/1.25 (define @t405 () (forall @t14 (or @t257 (not @t404)))) % 1.02/1.25 (define @t406 () (not @t405)) % 1.02/1.25 (define @t407 () (and @t15 @t406)) % 1.02/1.25 (define @t408 () (forall @t16 (not @t407))) % 1.02/1.25 (define @t409 () (not @t408)) % 1.02/1.25 (define @t410 () (and @t13 @t404)) % 1.02/1.25 (define @t411 () (forall @t14 (not @t410))) % 1.02/1.25 (define @t412 () (not @t411)) % 1.02/1.25 (define @t413 () (forall @t383 (or @t222 @t382 (not (= @t148 (tptp.app (tptp.app @t12 @t147) @t380)))))) % 1.02/1.25 (define @t414 () (not @t413)) % 1.02/1.25 (define @t415 () (= @t328 @t414)) % 1.02/1.25 (define @t416 () (or @t336 @t339 @t415)) % 1.02/1.25 (define @t417 () (= @t2 @t61)) % 1.02/1.25 (define @t418 () (@list @t147)) % 1.02/1.25 (define @t419 () (tptp.app tptp.nil @t147)) % 1.02/1.25 (define @t420 () (= @t147 @t419)) % 1.02/1.25 (define @t421 () (or @t339 @t420)) % 1.02/1.25 (define @t422 () (@list false false)) % 1.02/1.25 (define @t423 () (= @t148 (tptp.app @t419 @t146))) % 1.02/1.25 (define @t424 () (not @t423)) % 1.02/1.25 (define @t425 () (or @t372 @t326 @t424)) % 1.02/1.25 (define @t426 () (not @t425)) % 1.02/1.25 (define @t427 () (not @t415)) % 1.02/1.25 (define @t428 () (@list true false)) % 1.02/1.25 (define @t429 () (= @t74 @t135)) % 1.02/1.25 (define @t430 () (tptp.segmentP tptp.nil @t147)) % 1.02/1.25 (define @t431 () (or @t339 (= @t430 @t347))) % 1.02/1.25 (define @t432 () (forall @t9 (or @t142 @t429))) % 1.02/1.25 (define @t433 () (= @t150 @t430)) % 1.02/1.25 (define @t434 () (or @t339 @t433)) % 1.02/1.25 (define @t435 () (and @t149 @t328)) % 1.02/1.25 (define @t436 () (not @t329)) % 1.02/1.25 (define @t437 () (and @t149 @t150 @t436)) % 1.02/1.25 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 1.02/1.25 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 1.02/1.25 (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))))))))))) % 1.02/1.25 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 1.02/1.25 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 1.02/1.25 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 1.02/1.25 (assume @p7 @t34) % 1.02/1.25 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not (and @t36 @t35))))))))))))))))) % 1.02/1.25 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t36 @t35)))))))))))))))) % 1.02/1.25 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (or @t45 (tptp.lt @t12 @t1))))))))))))))))) % 1.02/1.25 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t36))))))))))))))) % 1.02/1.25 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 @t45))))))))))))))) % 1.02/1.25 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (forall @t41 (=> @t40 (=> @t39 (not @t46)))))))))))))))) % 1.02/1.25 (assume @p14 (forall @t9 (=> @t17 (= @t47 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (forall @t14 (=> @t13 (forall @t43 (=> @t42 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t38))) @t2) @t46))))))))))))) % 1.02/1.25 (assume @p15 @t50) % 1.02/1.25 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t51)))))) % 1.02/1.25 (assume @p17 @t52) % 1.02/1.25 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t51 @t2))))))) % 1.02/1.25 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t53))))))))))) % 1.02/1.25 (assume @p20 (forall @t9 (=> @t17 (or @t55 (exists @t7 (and @t21 (exists @t16 (and @t44 (= @t54 @t2))))))))) % 1.02/1.25 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t51))))))) % 1.02/1.25 (assume @p22 (forall @t9 (=> @t17 (=> @t57 (tptp.ssItem @t56))))) % 1.02/1.25 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t51) @t1)))))) % 1.02/1.25 (assume @p24 (forall @t9 (=> @t17 (=> @t57 (tptp.ssList @t58))))) % 1.02/1.25 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t51) @t2)))))) % 1.02/1.25 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t59)))))) % 1.02/1.25 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t44 (= (tptp.cons @t12 @t60) (tptp.app @t54 @t2))))))))) % 1.02/1.25 (assume @p28 @t63) % 1.02/1.25 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t65 @t64) @t3)))))) % 1.02/1.25 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t65 @t36) (tptp.leq @t2 @t12))))))))) % 1.02/1.25 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 1.02/1.25 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t66 @t64)))))) % 1.02/1.25 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t68 (not @t67))))))) % 1.02/1.25 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t68 @t45) @t69)))))))) % 1.02/1.25 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t70 @t67)))))) % 1.02/1.25 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t71))))))))) % 1.02/1.25 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t71))))))))) % 1.02/1.25 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 1.02/1.25 (assume @p39 (not (tptp.singletonP tptp.nil))) % 1.02/1.25 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 1.02/1.25 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 1.02/1.25 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 1.02/1.25 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 1.02/1.25 (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)))))))))))) % 1.02/1.25 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 1.02/1.25 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t55)))) % 1.02/1.25 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 1.02/1.25 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 1.02/1.25 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 1.02/1.25 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t72 @t1))))))))) % 1.02/1.25 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 1.02/1.25 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t55)))) % 1.02/1.25 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t29 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 1.02/1.25 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t29 @t73) @t3)))))) % 1.02/1.25 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 1.02/1.25 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t29 (tptp.segmentP (tptp.app @t72 @t10) @t1))))))))))) % 1.02/1.25 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 1.02/1.25 (assume @p58 @t76) % 1.02/1.25 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t77)))) % 1.02/1.25 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 1.02/1.25 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t77)))) % 1.02/1.25 (assume @p62 (tptp.totalorderP tptp.nil)) % 1.02/1.25 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t77)))) % 1.02/1.25 (assume @p64 (tptp.strictorderP tptp.nil)) % 1.02/1.25 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t77)))) % 1.02/1.25 (assume @p66 (tptp.totalorderedP tptp.nil)) % 1.02/1.25 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t81) (or @t79 (and @t80 (tptp.totalorderedP @t1) (tptp.leq @t2 @t78))))))))) % 1.02/1.25 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t77)))) % 1.02/1.25 (assume @p69 (tptp.strictorderedP tptp.nil)) % 1.02/1.25 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t81) (or @t79 (and @t80 (tptp.strictorderedP @t1) (tptp.lt @t2 @t78))))))))) % 1.02/1.25 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t77)))) % 1.02/1.25 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 1.02/1.25 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t77)))) % 1.02/1.25 (assume @p74 (tptp.equalelemsP tptp.nil)) % 1.02/1.25 (assume @p75 (forall @t9 (=> @t17 (=> @t57 (exists @t7 (and @t6 (= @t56 @t1))))))) % 1.02/1.25 (assume @p76 (forall @t9 (=> @t17 (=> @t57 (exists @t7 (and @t21 (= @t58 @t1))))))) % 1.02/1.25 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t80 @t57 (= @t78 @t56) (= (tptp.tl @t1) @t58)) @t53)))))) % 1.02/1.25 (assume @p78 (forall @t9 (=> @t17 (=> @t57 (= (tptp.cons @t56 @t58) @t2))))) % 1.02/1.25 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t59) @t82)))))))) % 1.02/1.25 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t60) @t82)))))))) % 1.02/1.25 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t51 (tptp.app @t18 @t2))))))) % 1.02/1.25 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t59 @t12) (tptp.app @t2 @t19))))))))) % 1.02/1.25 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t59) (and @t79 @t55))))))) % 1.02/1.25 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 1.02/1.25 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t57 (= (tptp.hd @t59) @t56))))))) % 1.02/1.25 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t57 (= (tptp.tl @t59) (tptp.app @t58 @t1)))))))) % 1.02/1.25 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t66 (tptp.geq @t1 @t2)) @t3)))))) % 1.02/1.25 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t66 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 1.02/1.25 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 1.02/1.25 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 1.02/1.25 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t65 @t45) @t69)))))))) % 1.02/1.25 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t65 (or @t3 @t68))))))) % 1.02/1.25 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t68 (and @t4 @t65))))))) % 1.02/1.25 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t70 (not (tptp.gt @t1 @t2)))))))) % 1.02/1.25 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t44 (=> (and @t70 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 1.02/1.25 (assume @p96 @t122) % 1.02/1.25 (assume @p97 true) % 1.02/1.25 (step @p98 :rule bool-double-not-elim :args (@t149)) % 1.02/1.25 (step @p99 :rule refl :args (@t152)) % 1.02/1.25 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t152 @t153))) % 1.02/1.25 (step @p101 :rule cnf_or_neg :args (@t152 0)) % 1.02/1.25 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 1.02/1.25 (step @p103 :rule reordering :premises (@p102) :args ((or @t149 @t152))) % 1.02/1.25 (step @p104 :rule aci_norm :args ((= @t155 @t143))) % 1.02/1.25 (step @p105 :rule cong :premises (@p104) :args (@t156)) % 1.02/1.25 (step @p106 :rule quant-merge-prenex :args ((= (forall @t9 @t158) @t156))) % 1.02/1.25 (step @p107 :rule alpha_equiv :args (@t159 (@list @t123) @t161)) % 1.02/1.25 (step @p108 :rule refl :args (@t141)) % 1.02/1.25 (step @p109 :rule refl :args (@t142)) % 1.02/1.25 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107) :args (@t162)) % 1.02/1.25 (step @p111 :rule quant-miniscope-or :args ((= @t158 @t162))) % 1.02/1.25 (step @p112 :rule trans :premises (@p111 @p110)) % 1.02/1.25 (step @p113 :rule symm :premises (@p112)) % 1.02/1.25 (step @p114 :rule cong :premises (@p113) :args ((forall @t9 @t173))) % 1.02/1.25 (step @p115 :rule trans :premises (@p114 @p106)) % 1.02/1.25 (step @p116 :rule trans :premises (@p115 @p105)) % 1.02/1.25 (step @p117 :rule aci_norm :args ((= (or @t142 @t173) @t173))) % 1.02/1.25 (step @p118 :rule bool-impl-elim :args (@t17 @t173)) % 1.02/1.25 (step @p119 :rule trans :premises (@p118 @p117)) % 1.02/1.25 (step @p120 :rule cong :premises (@p119) :args ((forall @t9 (=> @t17 @t173)))) % 1.02/1.25 (step @p121 :rule trans :premises (@p120 @p116)) % 1.02/1.25 (step @p122 :rule aci_norm :args ((= (or @t170 @t169 @t167 @t164 false @t163) @t171))) % 1.02/1.25 (step @p123 :rule refl :args (@t163)) % 1.02/1.25 (step @p124 :rule evaluate :args ((not true))) % 1.02/1.25 (step @p125 :rule eq-refl :args (@t165)) % 1.02/1.25 (step @p126 :rule cong :premises (@p125) :args (@t174)) % 1.02/1.25 (step @p127 :rule trans :premises (@p126 @p124)) % 1.02/1.25 (step @p128 :rule refl :args (@t164)) % 1.02/1.25 (step @p129 :rule refl :args (@t135)) % 1.02/1.25 (step @p130 :rule eq-symm :args (@t165 tptp.nil)) % 1.02/1.25 (step @p131 :rule cong :premises (@p130) :args (@t175)) % 1.02/1.25 (step @p132 :rule nary_cong :premises (@p131 @p129) :args (@t176)) % 1.02/1.25 (step @p133 :rule refl :args (@t168)) % 1.02/1.25 (step @p134 :rule nary_cong :premises (@p131 @p129) :args (@t177)) % 1.02/1.25 (step @p135 :rule nary_cong :premises (@p134 @p133) :args (@t178)) % 1.02/1.25 (step @p136 :rule refl :args (@t170)) % 1.02/1.25 (step @p137 :rule nary_cong :premises (@p136 @p135 @p132 @p128 @p127 @p123) :args (@t179)) % 1.02/1.25 (step @p138 :rule trans :premises (@p137 @p122)) % 1.02/1.25 (step @p139 :rule cong :premises (@p138) :args ((forall @t172 @t179))) % 1.02/1.25 (step @p140 :rule quant-var-elim-eq :args ((= (forall @t7 @t185) @t179))) % 1.02/1.25 (step @p141 :rule aci_norm :args ((= @t186 @t185))) % 1.02/1.25 (step @p142 :rule cong :premises (@p141) :args (@t187)) % 1.02/1.25 (step @p143 :rule trans :premises (@p142 @p140)) % 1.02/1.25 (step @p144 :rule cong :premises (@p143) :args (@t188)) % 1.02/1.25 (step @p145 :rule quant-merge-prenex :args ((= @t188 @t189))) % 1.02/1.25 (step @p146 :rule symm :premises (@p145)) % 1.02/1.25 (step @p147 :rule quant_var_reordering :args ((= (forall @t190 @t186) @t189))) % 1.02/1.25 (step @p148 :rule trans :premises (@p147 @p146 @p144)) % 1.02/1.25 (step @p149 :rule trans :premises (@p148 @p139)) % 1.02/1.25 (step @p150 :rule aci_norm :args ((= @t192 @t186))) % 1.02/1.25 (step @p151 :rule cong :premises (@p150) :args (@t193)) % 1.02/1.25 (step @p152 :rule trans :premises (@p151 @p149)) % 1.02/1.25 (step @p153 :rule quant-merge-prenex :args ((= (forall @t7 @t194) @t193))) % 1.02/1.25 (step @p154 :rule alpha_equiv :args (@t195 @t161 @t197)) % 1.02/1.25 (step @p155 :rule refl :args (@t182)) % 1.02/1.25 (step @p156 :rule refl :args (@t183)) % 1.02/1.25 (step @p157 :rule refl :args (@t184)) % 1.02/1.25 (step @p158 :rule nary_cong :premises (@p157 @p156 @p155 @p154) :args (@t198)) % 1.02/1.25 (step @p159 :rule quant-miniscope-or :args ((= @t194 @t198))) % 1.02/1.25 (step @p160 :rule trans :premises (@p159 @p158)) % 1.02/1.25 (step @p161 :rule symm :premises (@p160)) % 1.02/1.25 (step @p162 :rule cong :premises (@p161) :args (@t207)) % 1.02/1.25 (step @p163 :rule trans :premises (@p162 @p153)) % 1.02/1.25 (step @p164 :rule trans :premises (@p163 @p152)) % 1.02/1.25 (step @p165 :rule refl :args (@t141)) % 1.02/1.25 (step @p166 :rule refl :args (@t142)) % 1.02/1.25 (step @p167 :rule nary_cong :premises (@p166 @p165 @p164) :args (@t208)) % 1.02/1.25 (step @p168 :rule quant-miniscope-or :args ((= (forall @t7 @t209) @t208))) % 1.02/1.25 (step @p169 :rule aci_norm :args ((= @t210 @t209))) % 1.02/1.25 (step @p170 :rule cong :premises (@p169) :args ((forall @t7 @t210))) % 1.02/1.25 (step @p171 :rule trans :premises (@p170 @p168)) % 1.02/1.25 (step @p172 :rule trans :premises (@p171 @p167)) % 1.02/1.25 (step @p173 :rule aci_norm :args ((= (or @t184 @t211) @t210))) % 1.02/1.25 (step @p174 :rule bool-impl-elim :args (@t21 @t211)) % 1.02/1.25 (step @p175 :rule trans :premises (@p174 @p173)) % 1.02/1.25 (step @p176 :rule cong :premises (@p175) :args ((forall @t7 (=> @t21 @t211)))) % 1.02/1.25 (step @p177 :rule trans :premises (@p176 @p172)) % 1.02/1.25 (step @p178 :rule aci_norm :args ((= (or @t183 @t184 @t212) @t211))) % 1.02/1.25 (step @p179 :rule quant-miniscope-or :args ((= (forall @t204 @t213) @t212))) % 1.02/1.25 (step @p180 :rule aci_norm :args ((= @t214 @t213))) % 1.02/1.25 (step @p181 :rule cong :premises (@p180) :args ((forall @t204 @t214))) % 1.02/1.25 (step @p182 :rule trans :premises (@p181 @p179)) % 1.02/1.25 (step @p183 :rule aci_norm :args ((= (or @t142 false @t141 @t182 @t202 @t201 @t200) @t214))) % 1.02/1.25 (step @p184 :rule refl :args (@t200)) % 1.02/1.25 (step @p185 :rule refl :args (@t201)) % 1.02/1.25 (step @p186 :rule refl :args (@t202)) % 1.02/1.25 (step @p187 :rule refl :args (@t182)) % 1.02/1.25 (step @p188 :rule eq-refl :args (@t2)) % 1.02/1.25 (step @p189 :rule cong :premises (@p188) :args (@t215)) % 1.02/1.25 (step @p190 :rule trans :premises (@p189 @p124)) % 1.02/1.25 (step @p191 :rule nary_cong :premises (@p166 @p190 @p165 @p187 @p186 @p185 @p184) :args (@t216)) % 1.02/1.25 (step @p192 :rule trans :premises (@p191 @p183)) % 1.02/1.25 (step @p193 :rule cong :premises (@p192) :args ((forall @t204 @t216))) % 1.02/1.25 (step @p194 :rule trans :premises (@p193 @p182)) % 1.02/1.25 (step @p195 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t82) @t222 @t111 @t105 @t221 @t202 @t219 @t218)) @t216))) % 1.02/1.25 (step @p196 :rule refl :args (@t218)) % 1.02/1.25 (step @p197 :rule refl :args (@t219)) % 1.02/1.25 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cnf_or_pos :args (@t434)) % 1.02/1.26 (step @p655 :rule reordering :premises (@p654) :args ((or @t339 @t433 (not @t434)))) % 1.02/1.26 (step @p656 :rule chain_m_resolution :premises (@p655 @p512 @p653) :args (@t433 @t422 (@list @t338 @t434))) % 1.02/1.26 (assume-push @p733 @t149) % 1.02/1.26 (assume-push @p734 @t328) % 1.02/1.26 (assume-push @p735 @t328) % 1.02/1.26 (assume-push @p736 @t149) % 1.02/1.26 (step @p661 :rule true_intro :premises (@p734)) % 1.02/1.26 (step @p662 :rule refl :args (@t147)) % 1.02/1.26 (step @p663 :rule cong :premises (@p733 @p662) :args (@t430)) % 1.02/1.26 (step @p664 :rule trans :premises (@p663 @p661)) % 1.02/1.26 (step @p665 :rule true_elim :premises (@p664)) % 1.02/1.26 (step-pop @p737 :rule scope :premises (@p665)) % 1.02/1.26 (step-pop @p738 :rule scope :premises (@p737)) % 1.02/1.26 (step @p666 :rule process_scope :premises (@p738) :args (@t430)) % 1.02/1.26 (step @p669 :rule and_intro :premises (@p734 @p733)) % 1.02/1.26 (step @p670 :rule modus_ponens :premises (@p669 @p666)) % 1.02/1.26 (step-pop @p739 :rule scope :premises (@p670)) % 1.02/1.26 (step-pop @p740 :rule scope :premises (@p739)) % 1.02/1.26 (step @p671 :rule process_scope :premises (@p740) :args (@t430)) % 1.02/1.26 (step @p674 :rule implies_elim :premises (@p671)) % 1.02/1.26 (step @p675 :rule cnf_and_neg :args (@t435)) % 1.02/1.26 (step @p676 :rule resolution :premises (@p675 @p674) :args (true @t435)) % 1.02/1.26 (step @p677 :rule chain_m_resolution :premises (@p676 @p627 @p625) :args (@t430 @t422 (@list @t149 @t328))) % 1.02/1.26 (step @p678 :rule cnf_equiv_pos2 :args (@t433)) % 1.02/1.26 (step @p679 :rule reordering :premises (@p678) :args ((or @t150 (not @t430) (not @t433)))) % 1.02/1.26 (step @p680 :rule chain_m_resolution :premises (@p679 @p677 @p656) :args (@t150 @t422 (@list @t430 @t433))) % 1.02/1.26 (step @p681 :rule cnf_equiv_pos1 :args (@t375)) % 1.02/1.26 (step @p682 :rule reordering :premises (@p681) :args ((or @t355 @t436 @t379))) % 1.02/1.26 (step @p683 :rule chain_m_resolution :premises (@p682 @p680 @p515) :args (@t436 @t422 (@list @t150 @t375))) % 1.02/1.26 (step @p684 :rule cnf_or_neg :args (@t152 1)) % 1.02/1.26 (step @p685 :rule chain_m_resolution :premises (@p684 @p680) :args (@t152 @t377 (@list @t150))) % 1.02/1.26 (step @p686 :rule chain_m_resolution :premises (@p471 @p470 @p685) :args ((not @t333) @t428 (@list @t334 @t152))) % 1.02/1.26 (step @p687 :rule bool-double-not-elim :args (@t331)) % 1.02/1.26 (step @p688 :rule nary_cong :premises (@p443 @p687) :args ((or @t333 (not @t332)))) % 1.02/1.26 (step @p689 :rule cnf_or_neg :args (@t333 0)) % 1.02/1.26 (step @p690 :rule eq_resolve :premises (@p689 @p688)) % 1.02/1.26 (step @p691 :rule reordering :premises (@p690) :args ((or @t331 @t333))) % 1.02/1.26 (step @p692 :rule chain_m_resolution :premises (@p691 @p686) :args (@t331 @t353 (@list @t333))) % 1.02/1.26 (step @p693 :rule refl :args (@t332)) % 1.02/1.26 (step @p694 :rule bool-double-not-elim :args (@t329)) % 1.02/1.26 (step @p695 :rule nary_cong :premises (@p441 @p463 @p694 @p693) :args ((or @t151 @t355 (not @t436) @t332))) % 1.02/1.26 (assume-push @p741 @t149) % 1.02/1.26 (assume-push @p742 @t150) % 1.02/1.26 (assume-push @p743 @t436) % 1.02/1.26 (assume-push @p744 @t436) % 1.02/1.26 (assume-push @p745 @t150) % 1.02/1.26 (assume-push @p746 @t149) % 1.02/1.26 (step @p702 :rule false_intro :premises (@p743)) % 1.02/1.26 (step @p703 :rule refl :args (tptp.nil)) % 1.02/1.26 (step @p704 :rule symm :premises (@p741)) % 1.02/1.26 (step @p705 :rule trans :premises (@p704 @p742)) % 1.02/1.26 (step @p706 :rule cong :premises (@p705 @p703) :args (@t331)) % 1.02/1.26 (step @p707 :rule trans :premises (@p706 @p702)) % 1.02/1.26 (step @p708 :rule false_elim :premises (@p707)) % 1.02/1.26 (step-pop @p747 :rule scope :premises (@p708)) % 1.02/1.26 (step-pop @p748 :rule scope :premises (@p747)) % 1.02/1.26 (step-pop @p749 :rule scope :premises (@p748)) % 1.02/1.26 (step @p709 :rule process_scope :premises (@p749) :args (@t332)) % 1.02/1.26 (step @p713 :rule and_intro :premises (@p743 @p742 @p741)) % 1.02/1.26 (step @p714 :rule modus_ponens :premises (@p713 @p709)) % 1.02/1.26 (step-pop @p750 :rule scope :premises (@p714)) % 1.02/1.26 (step-pop @p751 :rule scope :premises (@p750)) % 1.02/1.26 (step-pop @p752 :rule scope :premises (@p751)) % 1.02/1.26 (step @p715 :rule process_scope :premises (@p752) :args (@t332)) % 1.02/1.26 (step @p719 :rule implies_elim :premises (@p715)) % 1.02/1.26 (step @p720 :rule cnf_and_neg :args (@t437)) % 1.02/1.26 (step @p721 :rule resolution :premises (@p720 @p719) :args (true @t437)) % 1.02/1.26 (step @p722 :rule eq_resolve :premises (@p721 @p695)) % 1.02/1.26 (step @p723 :rule reordering :premises (@p722) :args ((or @t151 @t332 @t329 @t355))) % 1.02/1.26 (step @p724 false :rule chain_m_resolution :premises (@p723 @p692 @p683 @p680 @p627) :args (false (@list false true false false) (@list @t331 @t329 @t150 @t149))) % 1.02/1.26 ) % 1.02/1.26 % SZS output end Proof % 1.02/1.26 % cvc5 exiting %------------------------------------------------------------------------------