%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC241+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 : n021.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 08:58:34 AM UTC 2026 % Result : Theorem 0.95s 1.18s % Output : Proof 0.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC241+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 % 0.17/0.34 % Computer : n021.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:32:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.95/1.18 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.95/1.18 % SZS status Theorem % 0.95/1.18 % SZS output start Proof % 0.95/1.18 ( % 0.95/1.18 (declare-sort $$unsorted 0) % 0.95/1.18 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.18 (declare-const tptp.nil $$unsorted) % 0.95/1.18 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.95/1.18 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.95/1.18 (define @t1 () (@var "V" $$unsorted)) % 0.95/1.18 (define @t2 () (@var "U" $$unsorted)) % 0.95/1.18 (define @t3 () (= @t2 @t1)) % 0.95/1.18 (define @t4 () (not @t3)) % 0.95/1.18 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.95/1.18 (define @t6 () (tptp.ssItem @t1)) % 0.95/1.18 (define @t7 () (@list @t1)) % 0.95/1.18 (define @t8 () (tptp.ssItem @t2)) % 0.95/1.18 (define @t9 () (@list @t2)) % 0.95/1.18 (define @t10 () (@var "X" $$unsorted)) % 0.95/1.18 (define @t11 () (tptp.cons @t1 @t10)) % 0.95/1.18 (define @t12 () (@var "W" $$unsorted)) % 0.95/1.18 (define @t13 () (tptp.ssList @t10)) % 0.95/1.18 (define @t14 () (@list @t10)) % 0.95/1.18 (define @t15 () (tptp.ssList @t12)) % 0.95/1.18 (define @t16 () (@list @t12)) % 0.95/1.18 (define @t17 () (tptp.ssList @t2)) % 0.95/1.18 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.95/1.18 (define @t19 () (tptp.app @t1 @t12)) % 0.95/1.18 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.95/1.18 (define @t21 () (tptp.ssList @t1)) % 0.95/1.18 (define @t22 () (tptp.app @t12 @t1)) % 0.95/1.18 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.95/1.18 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.95/1.18 (define @t25 () (tptp.leq @t12 @t1)) % 0.95/1.18 (define @t26 () (tptp.leq @t1 @t12)) % 0.95/1.18 (define @t27 () (@var "Z" $$unsorted)) % 0.95/1.18 (define @t28 () (@var "Y" $$unsorted)) % 0.95/1.18 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.95/1.18 (define @t30 () (tptp.ssList @t27)) % 0.95/1.18 (define @t31 () (@list @t27)) % 0.95/1.18 (define @t32 () (tptp.ssList @t28)) % 0.95/1.18 (define @t33 () (@list @t28)) % 0.95/1.18 (define @t34 () (tptp.ssItem @t12)) % 0.95/1.18 (define @t35 () (tptp.lt @t1 @t12)) % 0.95/1.18 (define @t36 () (= @t1 @t12)) % 0.95/1.18 (define @t37 () (tptp.cons @t1 @t2)) % 0.95/1.18 (define @t38 () (= @t1 @t2)) % 0.95/1.18 (define @t39 () (tptp.cons @t12 @t1)) % 0.95/1.18 (define @t40 () (= tptp.nil @t2)) % 0.95/1.18 (define @t41 () (tptp.hd @t2)) % 0.95/1.18 (define @t42 () (not @t40)) % 0.95/1.18 (define @t43 () (tptp.tl @t2)) % 0.95/1.18 (define @t44 () (tptp.app @t2 @t1)) % 0.95/1.18 (define @t45 () (tptp.app @t1 @t2)) % 0.95/1.18 (define @t46 () (tptp.leq @t1 @t2)) % 0.95/1.18 (define @t47 () (tptp.leq @t2 @t1)) % 0.95/1.18 (define @t48 () (tptp.geq @t2 @t1)) % 0.95/1.18 (define @t49 () (tptp.lt @t1 @t2)) % 0.95/1.18 (define @t50 () (tptp.lt @t2 @t1)) % 0.95/1.18 (define @t51 () (tptp.lt @t2 @t12)) % 0.95/1.18 (define @t52 () (tptp.gt @t2 @t1)) % 0.95/1.18 (define @t53 () (tptp.memberP @t12 @t2)) % 0.95/1.18 (define @t54 () (tptp.app @t12 @t2)) % 0.95/1.18 (define @t55 () (tptp.cons @t2 tptp.nil)) % 0.95/1.18 (define @t56 () (tptp.hd @t1)) % 0.95/1.18 (define @t57 () (= tptp.nil @t1)) % 0.95/1.18 (define @t58 () (not @t57)) % 0.95/1.18 (define @t59 () (tptp.cons @t2 @t1)) % 0.95/1.18 (define @t60 () (= @t12 @t2)) % 0.95/1.18 (define @t61 () (= @t50 (and @t4 @t47))) % 0.95/1.18 (define @t62 () (forall @t7 (=> @t6 @t61))) % 0.95/1.18 (define @t63 () (=> @t8 @t62)) % 0.95/1.18 (define @t64 () (forall @t9 @t63)) % 0.95/1.18 (define @t65 () (@var "X6" $$unsorted)) % 0.95/1.18 (define @t66 () (@var "X3" $$unsorted)) % 0.95/1.18 (define @t67 () (tptp.leq @t66 @t65)) % 0.95/1.18 (define @t68 () (@var "X5" $$unsorted)) % 0.95/1.18 (define @t69 () (tptp.memberP @t68 @t65)) % 0.95/1.18 (define @t70 () (@var "X4" $$unsorted)) % 0.95/1.18 (define @t71 () (tptp.memberP @t70 @t65)) % 0.95/1.18 (define @t72 () (tptp.leq @t65 @t66)) % 0.95/1.18 (define @t73 () (not @t72)) % 0.95/1.18 (define @t74 () (tptp.ssItem @t65)) % 0.95/1.18 (define @t75 () (and @t74 @t73 @t71 @t69 @t67)) % 0.95/1.18 (define @t76 () (@list @t65)) % 0.95/1.18 (define @t77 () (exists @t76 @t75)) % 0.95/1.18 (define @t78 () (tptp.cons @t66 tptp.nil)) % 0.95/1.18 (define @t79 () (tptp.app @t70 @t78)) % 0.95/1.18 (define @t80 () (tptp.app @t79 @t68)) % 0.95/1.18 (define @t81 () (not (= @t80 @t12))) % 0.95/1.18 (define @t82 () (not (tptp.ssList @t68))) % 0.95/1.18 (define @t83 () (or @t82 @t81 @t77)) % 0.95/1.18 (define @t84 () (@list @t68)) % 0.95/1.18 (define @t85 () (forall @t84 @t83)) % 0.95/1.18 (define @t86 () (tptp.ssList @t70)) % 0.95/1.18 (define @t87 () (=> @t86 @t85)) % 0.95/1.18 (define @t88 () (@list @t70)) % 0.95/1.18 (define @t89 () (forall @t88 @t87)) % 0.95/1.18 (define @t90 () (tptp.ssItem @t66)) % 0.95/1.18 (define @t91 () (=> @t90 @t89)) % 0.95/1.18 (define @t92 () (@list @t66)) % 0.95/1.18 (define @t93 () (forall @t92 @t91)) % 0.95/1.18 (define @t94 () (not (= tptp.nil @t12))) % 0.95/1.18 (define @t95 () (and @t94 @t93)) % 0.95/1.18 (define @t96 () (@var "X2" $$unsorted)) % 0.95/1.18 (define @t97 () (tptp.leq @t28 @t96)) % 0.95/1.18 (define @t98 () (not (tptp.lt @t28 @t96))) % 0.95/1.18 (define @t99 () (@var "X1" $$unsorted)) % 0.95/1.18 (define @t100 () (not (tptp.memberP @t27 @t96))) % 0.95/1.18 (define @t101 () (not (tptp.ssItem @t96))) % 0.95/1.18 (define @t102 () (@list @t96)) % 0.95/1.18 (define @t103 () (forall @t102 (or @t101 @t100 (not (tptp.memberP @t99 @t96)) @t98 @t97))) % 0.95/1.18 (define @t104 () (tptp.cons @t28 tptp.nil)) % 0.95/1.18 (define @t105 () (tptp.app @t27 @t104)) % 0.95/1.18 (define @t106 () (tptp.app @t105 @t99)) % 0.95/1.18 (define @t107 () (tptp.ssList @t99)) % 0.95/1.18 (define @t108 () (and @t107 (= @t106 @t2) @t103)) % 0.95/1.18 (define @t109 () (@list @t99)) % 0.95/1.18 (define @t110 () (exists @t109 @t108)) % 0.95/1.18 (define @t111 () (and @t30 @t110)) % 0.95/1.18 (define @t112 () (exists @t31 @t111)) % 0.95/1.18 (define @t113 () (tptp.ssItem @t28)) % 0.95/1.18 (define @t114 () (and @t113 @t112)) % 0.95/1.18 (define @t115 () (exists @t33 @t114)) % 0.95/1.18 (define @t116 () (not (= @t2 @t12))) % 0.95/1.18 (define @t117 () (not (= @t1 @t10))) % 0.95/1.18 (define @t118 () (not @t13)) % 0.95/1.18 (define @t119 () (or @t118 @t117 @t116 @t40 @t115 @t95)) % 0.95/1.18 (define @t120 () (forall @t14 @t119)) % 0.95/1.18 (define @t121 () (=> @t15 @t120)) % 0.95/1.18 (define @t122 () (forall @t16 @t121)) % 0.95/1.18 (define @t123 () (=> @t21 @t122)) % 0.95/1.18 (define @t124 () (forall @t7 @t123)) % 0.95/1.18 (define @t125 () (=> @t17 @t124)) % 0.95/1.18 (define @t126 () (forall @t9 @t125)) % 0.95/1.18 (define @t127 () (not @t126)) % 0.95/1.18 (define @t128 () (@var "BOUND_VARIABLE_11220" $$unsorted)) % 0.95/1.18 (define @t129 () (@var "BOUND_VARIABLE_11224" $$unsorted)) % 0.95/1.18 (define @t130 () (@var "BOUND_VARIABLE_11222" $$unsorted)) % 0.95/1.18 (define @t131 () (not @t74)) % 0.95/1.18 (define @t132 () (or (not (tptp.ssItem @t128)) (not (tptp.ssList @t130)) (not (tptp.ssList @t129)) (not (= @t2 (tptp.app (tptp.app @t130 (tptp.cons @t128 tptp.nil)) @t129))) (not (forall @t76 (or @t131 (tptp.leq @t65 @t128) (not (tptp.memberP @t130 @t65)) (not (tptp.memberP @t129 @t65)) (not (tptp.leq @t128 @t65))))))) % 0.95/1.18 (define @t133 () (= @t2 tptp.nil)) % 0.95/1.18 (define @t134 () (not @t133)) % 0.95/1.18 (define @t135 () (and @t134 @t132)) % 0.95/1.18 (define @t136 () (@var "BOUND_VARIABLE_11018" $$unsorted)) % 0.95/1.18 (define @t137 () (@var "BOUND_VARIABLE_11016" $$unsorted)) % 0.95/1.18 (define @t138 () (not (forall @t102 (or @t101 (not (tptp.memberP @t137 @t96)) (not (tptp.memberP @t136 @t96)) @t98 @t97)))) % 0.95/1.18 (define @t139 () (tptp.app (tptp.app @t137 @t104) @t136)) % 0.95/1.18 (define @t140 () (not (= @t2 @t139))) % 0.95/1.18 (define @t141 () (not (tptp.ssList @t136))) % 0.95/1.18 (define @t142 () (not (tptp.ssList @t137))) % 0.95/1.18 (define @t143 () (not @t113)) % 0.95/1.18 (define @t144 () (or @t143 @t142 @t141 @t140 @t138)) % 0.95/1.18 (define @t145 () (@list @t28 @t137 @t136)) % 0.95/1.18 (define @t146 () (not (forall @t145 @t144))) % 0.95/1.18 (define @t147 () (not @t17)) % 0.95/1.18 (define @t148 () (or @t147 @t133 @t146 @t135)) % 0.95/1.18 (define @t149 () (forall (@list @t2 @t128 @t130 @t129) @t148)) % 0.95/1.18 (define @t150 () (@list @t128 @t130 @t129)) % 0.95/1.18 (define @t151 () (forall @t150 @t148)) % 0.95/1.18 (define @t152 () (forall @t150 @t132)) % 0.95/1.18 (define @t153 () (@var "BOUND_VARIABLE_11177" $$unsorted)) % 0.95/1.18 (define @t154 () (@var "BOUND_VARIABLE_11175" $$unsorted)) % 0.95/1.18 (define @t155 () (@var "BOUND_VARIABLE_11173" $$unsorted)) % 0.95/1.18 (define @t156 () (@list @t155 @t154 @t153)) % 0.95/1.18 (define @t157 () (forall @t150 @t134)) % 0.95/1.18 (define @t158 () (and @t157 @t152)) % 0.95/1.18 (define @t159 () (forall @t150 @t135)) % 0.95/1.18 (define @t160 () (or @t147 @t133 @t146 @t159)) % 0.95/1.18 (define @t161 () (and @t134 (forall (@list @t155 @t154 @t153) (or (not (tptp.ssItem @t155)) (not (tptp.ssList @t154)) (not (tptp.ssList @t153)) (not (= @t2 (tptp.app (tptp.app @t154 (tptp.cons @t155 tptp.nil)) @t153))) (not (forall @t76 (or @t131 (tptp.leq @t65 @t155) (not (tptp.memberP @t154 @t65)) (not (tptp.memberP @t153 @t65)) (not (tptp.leq @t155 @t65))))))))) % 0.95/1.18 (define @t162 () (or @t147 @t133 @t146 @t161)) % 0.95/1.18 (define @t163 () (forall @t9 @t162)) % 0.95/1.18 (define @t164 () (not @t21)) % 0.95/1.18 (define @t165 () (forall @t7 @t164)) % 0.95/1.18 (define @t166 () (or @t165 @t163)) % 0.95/1.18 (define @t167 () (or @t165 @t162)) % 0.95/1.18 (define @t168 () (or @t147 @t133 @t146 @t161 @t165)) % 0.95/1.18 (define @t169 () (or @t133 @t146 @t147 @t161 @t165)) % 0.95/1.18 (define @t170 () (or @t133 @t146 @t147 @t161 @t164)) % 0.95/1.18 (define @t171 () (or @t164 @t133 @t146 @t147 @t161)) % 0.95/1.18 (define @t172 () (or @t133 @t146 @t164 @t147 @t161)) % 0.95/1.18 (define @t173 () (@var "BOUND_VARIABLE_11127" $$unsorted)) % 0.95/1.18 (define @t174 () (@var "BOUND_VARIABLE_11131" $$unsorted)) % 0.95/1.18 (define @t175 () (@var "BOUND_VARIABLE_11129" $$unsorted)) % 0.95/1.18 (define @t176 () (not (forall @t76 (or @t131 (tptp.leq @t65 @t173) (not (tptp.memberP @t175 @t65)) (not (tptp.memberP @t174 @t65)) (not (tptp.leq @t173 @t65)))))) % 0.95/1.18 (define @t177 () (tptp.app (tptp.app @t175 (tptp.cons @t173 tptp.nil)) @t174)) % 0.95/1.18 (define @t178 () (not (tptp.ssList @t174))) % 0.95/1.18 (define @t179 () (not (tptp.ssList @t175))) % 0.95/1.18 (define @t180 () (not (tptp.ssItem @t173))) % 0.95/1.18 (define @t181 () (or @t180 @t179 @t178 (not (= @t2 @t177)) @t176)) % 0.95/1.18 (define @t182 () (@list @t173 @t175 @t174)) % 0.95/1.18 (define @t183 () (forall @t182 @t181)) % 0.95/1.18 (define @t184 () (@list @t173 @t175 @t174)) % 0.95/1.18 (define @t185 () (forall @t182 @t134)) % 0.95/1.18 (define @t186 () (and @t185 @t183)) % 0.95/1.18 (define @t187 () (and @t134 @t181)) % 0.95/1.18 (define @t188 () (forall @t182 @t187)) % 0.95/1.18 (define @t189 () (or @t147 @t188)) % 0.95/1.18 (define @t190 () (or @t147 @t187)) % 0.95/1.18 (define @t191 () (not (= @t2 @t2))) % 0.95/1.18 (define @t192 () (or @t147 @t191 @t187)) % 0.95/1.18 (define @t193 () (or @t180 @t179 @t178 (not (= @t12 @t177)) @t176)) % 0.95/1.18 (define @t194 () (not (= @t12 tptp.nil))) % 0.95/1.18 (define @t195 () (and @t194 @t193)) % 0.95/1.18 (define @t196 () (not @t15)) % 0.95/1.18 (define @t197 () (or @t116 @t196 @t116 @t195)) % 0.95/1.18 (define @t198 () (or @t196 @t116 @t195)) % 0.95/1.18 (define @t199 () (forall @t16 @t198)) % 0.95/1.18 (define @t200 () (forall @t182 @t199)) % 0.95/1.18 (define @t201 () (forall (@list @t173 @t175 @t174 @t12) @t198)) % 0.95/1.18 (define @t202 () (forall (@list @t12 @t173 @t175 @t174) @t198)) % 0.95/1.18 (define @t203 () (forall @t182 @t198)) % 0.95/1.18 (define @t204 () (forall @t182 @t193)) % 0.95/1.18 (define @t205 () (@var "BOUND_VARIABLE_11088" $$unsorted)) % 0.95/1.18 (define @t206 () (@var "BOUND_VARIABLE_11086" $$unsorted)) % 0.95/1.18 (define @t207 () (forall @t182 @t194)) % 0.95/1.18 (define @t208 () (and @t207 @t204)) % 0.95/1.18 (define @t209 () (forall @t182 @t195)) % 0.95/1.18 (define @t210 () (or @t196 @t116 @t209)) % 0.95/1.18 (define @t211 () (not @t67)) % 0.95/1.18 (define @t212 () (not (forall @t76 (or @t131 @t72 (not (tptp.memberP @t206 @t65)) (not (tptp.memberP @t205 @t65)) @t211)))) % 0.95/1.18 (define @t213 () (not (= @t12 (tptp.app (tptp.app @t206 @t78) @t205)))) % 0.95/1.18 (define @t214 () (not (tptp.ssList @t205))) % 0.95/1.18 (define @t215 () (not (tptp.ssList @t206))) % 0.95/1.18 (define @t216 () (not @t90)) % 0.95/1.18 (define @t217 () (or @t216 @t215 @t214 @t213 @t212)) % 0.95/1.18 (define @t218 () (@list @t66 @t206 @t205)) % 0.95/1.18 (define @t219 () (and @t194 (forall @t218 @t217))) % 0.95/1.18 (define @t220 () (or @t196 @t116 @t219)) % 0.95/1.18 (define @t221 () (forall @t16 @t220)) % 0.95/1.18 (define @t222 () (or @t133 @t146 @t164 @t221)) % 0.95/1.18 (define @t223 () (or @t133 @t146 @t164 @t220)) % 0.95/1.18 (define @t224 () (or @t196 @t116 @t133 @t146 @t219 @t164)) % 0.95/1.18 (define @t225 () (or @t116 @t133 @t146 @t219 @t164)) % 0.95/1.18 (define @t226 () (not (= @t1 @t1))) % 0.95/1.18 (define @t227 () (or @t164 @t226)) % 0.95/1.18 (define @t228 () (or @t117 @t118 @t117)) % 0.95/1.18 (define @t229 () (or @t118 @t117)) % 0.95/1.18 (define @t230 () (forall @t14 @t229)) % 0.95/1.18 (define @t231 () (or @t116 @t133 @t146 @t219 @t230)) % 0.95/1.18 (define @t232 () (or @t116 @t133 @t146 @t219 @t229)) % 0.95/1.18 (define @t233 () (or @t118 @t117 @t116 @t133 @t146 @t219)) % 0.95/1.18 (define @t234 () (or @t215 @t214 @t213 @t212)) % 0.95/1.18 (define @t235 () (or @t216 @t234)) % 0.95/1.18 (define @t236 () (forall @t218 @t235)) % 0.95/1.18 (define @t237 () (@list @t206 @t205)) % 0.95/1.18 (define @t238 () (forall @t237 @t235)) % 0.95/1.18 (define @t239 () (forall @t237 @t234)) % 0.95/1.18 (define @t240 () (@var "BOUND_VARIABLE_11063" $$unsorted)) % 0.95/1.18 (define @t241 () (or @t216 @t239)) % 0.95/1.18 (define @t242 () (not @t71)) % 0.95/1.18 (define @t243 () (not (forall @t76 (or @t131 @t72 @t242 (not (tptp.memberP @t240 @t65)) @t211)))) % 0.95/1.18 (define @t244 () (not (= @t12 (tptp.app @t79 @t240)))) % 0.95/1.18 (define @t245 () (not (tptp.ssList @t240))) % 0.95/1.18 (define @t246 () (not @t86)) % 0.95/1.18 (define @t247 () (or @t246 @t245 @t244 @t243)) % 0.95/1.18 (define @t248 () (@list @t70 @t240)) % 0.95/1.18 (define @t249 () (forall @t248 @t247)) % 0.95/1.18 (define @t250 () (or @t245 @t244 @t243)) % 0.95/1.18 (define @t251 () (or @t246 @t250)) % 0.95/1.18 (define @t252 () (forall @t248 @t251)) % 0.95/1.18 (define @t253 () (@list @t240)) % 0.95/1.18 (define @t254 () (forall @t253 @t251)) % 0.95/1.18 (define @t255 () (forall @t253 @t250)) % 0.95/1.18 (define @t256 () (or @t246 @t255)) % 0.95/1.18 (define @t257 () (not @t69)) % 0.95/1.18 (define @t258 () (forall @t84 (or @t82 (not (= @t12 @t80)) (not (forall @t76 (or @t131 @t72 @t242 @t257 @t211)))))) % 0.95/1.18 (define @t259 () (not @t73)) % 0.95/1.18 (define @t260 () (or @t131 @t259 @t242 @t257 @t211)) % 0.95/1.18 (define @t261 () (forall @t76 (not @t75))) % 0.95/1.18 (define @t262 () (not @t261)) % 0.95/1.18 (define @t263 () (or @t142 @t141 @t140 @t138)) % 0.95/1.18 (define @t264 () (or @t143 @t263)) % 0.95/1.18 (define @t265 () (forall @t145 @t264)) % 0.95/1.18 (define @t266 () (@list @t137 @t136)) % 0.95/1.18 (define @t267 () (forall @t266 @t264)) % 0.95/1.18 (define @t268 () (forall @t266 @t263)) % 0.95/1.18 (define @t269 () (@var "BOUND_VARIABLE_10989" $$unsorted)) % 0.95/1.18 (define @t270 () (or @t143 @t268)) % 0.95/1.18 (define @t271 () (not (forall @t102 (or @t101 @t100 (not (tptp.memberP @t269 @t96)) @t98 @t97)))) % 0.95/1.18 (define @t272 () (not (= @t2 (tptp.app @t105 @t269)))) % 0.95/1.18 (define @t273 () (not (tptp.ssList @t269))) % 0.95/1.18 (define @t274 () (not @t30)) % 0.95/1.18 (define @t275 () (or @t274 @t273 @t272 @t271)) % 0.95/1.18 (define @t276 () (@list @t27 @t269)) % 0.95/1.18 (define @t277 () (forall @t276 @t275)) % 0.95/1.18 (define @t278 () (not @t277)) % 0.95/1.18 (define @t279 () (and @t113 @t278)) % 0.95/1.18 (define @t280 () (forall @t33 (not @t279))) % 0.95/1.18 (define @t281 () (not @t280)) % 0.95/1.18 (define @t282 () (or @t273 @t272 @t271)) % 0.95/1.18 (define @t283 () (or @t274 @t282)) % 0.95/1.18 (define @t284 () (forall @t276 @t283)) % 0.95/1.18 (define @t285 () (@list @t269)) % 0.95/1.18 (define @t286 () (forall @t285 @t283)) % 0.95/1.18 (define @t287 () (forall @t285 @t282)) % 0.95/1.18 (define @t288 () (or @t274 @t287)) % 0.95/1.18 (define @t289 () (not @t103)) % 0.95/1.18 (define @t290 () (= @t2 @t106)) % 0.95/1.18 (define @t291 () (not @t290)) % 0.95/1.18 (define @t292 () (not @t107)) % 0.95/1.18 (define @t293 () (or @t292 @t291 @t289)) % 0.95/1.18 (define @t294 () (forall @t109 @t293)) % 0.95/1.18 (define @t295 () (not @t294)) % 0.95/1.18 (define @t296 () (and @t30 @t295)) % 0.95/1.18 (define @t297 () (forall @t31 (not @t296))) % 0.95/1.18 (define @t298 () (not @t297)) % 0.95/1.18 (define @t299 () (and @t107 @t290 @t103)) % 0.95/1.18 (define @t300 () (forall @t109 (not @t299))) % 0.95/1.18 (define @t301 () (not @t300)) % 0.95/1.18 (define @t302 () (@quantifiers_skolemize @t149 1)) % 0.95/1.18 (define @t303 () (@quantifiers_skolemize @t149 3)) % 0.95/1.18 (define @t304 () (@quantifiers_skolemize @t149 2)) % 0.95/1.18 (define @t305 () (tptp.app (tptp.app @t304 (tptp.cons @t302 tptp.nil)) @t303)) % 0.95/1.18 (define @t306 () (@quantifiers_skolemize @t149 0)) % 0.95/1.18 (define @t307 () (= @t306 @t305)) % 0.95/1.18 (define @t308 () (not @t307)) % 0.95/1.18 (define @t309 () (tptp.ssList @t303)) % 0.95/1.18 (define @t310 () (not @t309)) % 0.95/1.18 (define @t311 () (tptp.ssList @t304)) % 0.95/1.18 (define @t312 () (not @t311)) % 0.95/1.18 (define @t313 () (tptp.ssItem @t302)) % 0.95/1.18 (define @t314 () (not @t313)) % 0.95/1.18 (define @t315 () (or @t314 @t312 @t310 @t308 (not (forall @t76 (or @t131 (tptp.leq @t65 @t302) (not (tptp.memberP @t304 @t65)) (not (tptp.memberP @t303 @t65)) (not (tptp.leq @t302 @t65))))))) % 0.95/1.18 (define @t316 () (= tptp.nil @t306)) % 0.95/1.18 (define @t317 () (not @t316)) % 0.95/1.18 (define @t318 () (and @t317 @t315)) % 0.95/1.18 (define @t319 () (forall @t145 (or @t143 @t142 @t141 (not (= @t139 @t306)) @t138))) % 0.95/1.18 (define @t320 () (not @t319)) % 0.95/1.18 (define @t321 () (not (tptp.ssList @t306))) % 0.95/1.18 (define @t322 () (or @t321 @t316 @t320 @t318)) % 0.95/1.18 (define @t323 () (not @t322)) % 0.95/1.18 (define @t324 () (not @t149)) % 0.95/1.18 (define @t325 () (= @t306 tptp.nil)) % 0.95/1.18 (define @t326 () (not @t325)) % 0.95/1.18 (define @t327 () (and @t326 @t315)) % 0.95/1.18 (define @t328 () (not (= @t306 @t139))) % 0.95/1.18 (define @t329 () (or @t143 @t142 @t141 @t328 @t138)) % 0.95/1.18 (define @t330 () (forall @t145 @t329)) % 0.95/1.18 (define @t331 () (not @t330)) % 0.95/1.18 (define @t332 () (or @t321 @t325 @t331 @t327)) % 0.95/1.18 (define @t333 () (not @t332)) % 0.95/1.18 (define @t334 () (@list true)) % 0.95/1.18 (define @t335 () (@list @t322)) % 0.95/1.18 (define @t336 () (not @t315)) % 0.95/1.18 (define @t337 () (@list @t315)) % 0.95/1.18 (define @t338 () (forall @t102 (or @t101 (not (tptp.memberP @t304 @t96)) (not (tptp.memberP @t303 @t96)) (not (tptp.lt @t302 @t96)) (tptp.leq @t302 @t96)))) % 0.95/1.18 (define @t339 () (not @t338)) % 0.95/1.18 (define @t340 () (not (= @t305 @t306))) % 0.95/1.18 (define @t341 () (or @t314 @t312 @t310 @t340 @t339)) % 0.95/1.18 (define @t342 () (or @t314 @t312 @t310 @t308 @t339)) % 0.95/1.18 (define @t343 () (@quantifiers_skolemize @t338 0)) % 0.95/1.18 (define @t344 () (tptp.ssItem @t343)) % 0.95/1.18 (define @t345 () (tptp.leq @t302 @t343)) % 0.95/1.18 (define @t346 () (tptp.lt @t302 @t343)) % 0.95/1.18 (define @t347 () (not @t346)) % 0.95/1.18 (define @t348 () (not @t344)) % 0.95/1.18 (define @t349 () (or @t348 (not (tptp.memberP @t304 @t343)) (not (tptp.memberP @t303 @t343)) @t347 @t345)) % 0.95/1.18 (define @t350 () (@list @t349)) % 0.95/1.18 (define @t351 () (@var "BOUND_VARIABLE_10880" $$unsorted)) % 0.95/1.18 (define @t352 () (= (tptp.lt @t2 @t351) (and (not (= @t2 @t351)) (tptp.leq @t2 @t351)))) % 0.95/1.18 (define @t353 () (not (tptp.ssItem @t351))) % 0.95/1.18 (define @t354 () (not @t8)) % 0.95/1.18 (define @t355 () (or @t353 @t352)) % 0.95/1.18 (define @t356 () (or @t354 @t355)) % 0.95/1.18 (define @t357 () (forall (@list @t2 @t351) @t356)) % 0.95/1.18 (define @t358 () (@list @t351)) % 0.95/1.18 (define @t359 () (forall @t358 @t356)) % 0.95/1.18 (define @t360 () (forall @t358 @t355)) % 0.95/1.18 (define @t361 () (or @t354 @t360)) % 0.95/1.18 (define @t362 () (forall @t7 (or (not @t6) @t61))) % 0.95/1.18 (define @t363 () (and (not (= @t302 @t343)) @t345)) % 0.95/1.18 (define @t364 () (not @t363)) % 0.95/1.18 (define @t365 () (= @t346 @t363)) % 0.95/1.18 (define @t366 () (not @t365)) % 0.95/1.18 (define @t367 () (or @t314 @t348 @t365)) % 0.95/1.18 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.95/1.18 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.95/1.18 (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))))))))))) % 0.95/1.18 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.95/1.18 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.95/1.18 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.95/1.18 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.95/1.18 (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))))))))))))))))) % 0.95/1.18 (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)))))))))))))))) % 0.95/1.18 (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))))))))))))))))) % 0.95/1.18 (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))))))))))))))) % 0.95/1.18 (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))))))))))))))) % 0.95/1.18 (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)))))))))))))))) % 0.95/1.18 (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))))))))))))) % 0.95/1.18 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.95/1.18 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.95/1.18 (assume @p17 (tptp.ssList tptp.nil)) % 0.95/1.18 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.95/1.18 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t38))))))))))) % 0.95/1.18 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.95/1.18 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.95/1.18 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.95/1.18 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.95/1.18 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.95/1.18 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.95/1.18 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.95/1.18 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.95/1.18 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.95/1.18 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.95/1.18 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.95/1.18 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.95/1.18 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.95/1.18 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.95/1.18 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.95/1.18 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 0.95/1.18 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 0.95/1.18 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 0.95/1.18 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.95/1.18 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.95/1.18 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.95/1.18 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.95/1.18 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.95/1.18 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.95/1.18 (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)))))))))))) % 0.95/1.18 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.95/1.18 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 0.95/1.18 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.95/1.18 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.95/1.18 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.95/1.18 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1))))))))) % 0.95/1.18 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.95/1.18 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 0.95/1.18 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.95/1.18 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.95/1.18 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.95/1.18 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1))))))))))) % 0.95/1.18 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.95/1.18 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 0.95/1.18 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t55)))) % 0.95/1.18 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.95/1.18 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t55)))) % 0.95/1.18 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.95/1.18 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t55)))) % 0.95/1.18 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.95/1.18 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t55)))) % 0.95/1.18 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.95/1.18 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t59) (or @t57 (and @t58 (tptp.totalorderedP @t1) (tptp.leq @t2 @t56))))))))) % 0.95/1.18 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t55)))) % 0.95/1.18 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.95/1.18 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t59) (or @t57 (and @t58 (tptp.strictorderedP @t1) (tptp.lt @t2 @t56))))))))) % 0.95/1.18 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t55)))) % 0.95/1.18 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.95/1.18 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t55)))) % 0.95/1.18 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.95/1.18 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 0.95/1.18 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 0.95/1.18 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t58 @t42 (= @t56 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 0.95/1.18 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 0.95/1.18 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t60)))))))) % 0.95/1.18 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t60)))))))) % 0.95/1.18 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.95/1.18 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 0.95/1.18 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t57 @t40))))))) % 0.95/1.18 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.95/1.18 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 0.95/1.18 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 0.95/1.18 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 0.95/1.18 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.95/1.18 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.95/1.18 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.95/1.18 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 0.95/1.18 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 0.95/1.18 (assume @p93 @t64) % 0.95/1.18 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2)))))))) % 0.95/1.18 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.95/1.18 (assume @p96 @t127) % 0.95/1.18 (assume @p97 true) % 0.95/1.18 (step @p98 :rule quant-merge-prenex :args ((= (forall @t9 @t151) @t149))) % 0.95/1.18 (step @p99 :rule alpha_equiv :args (@t152 (@list @t128 @t130 @t129) @t156)) % 0.95/1.18 (step @p100 :rule quant-unused-vars :args ((= @t157 @t134))) % 0.95/1.18 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t158)) % 0.95/1.18 (step @p102 :rule quant-miniscope-and :args ((= @t159 @t158))) % 0.95/1.18 (step @p103 :rule trans :premises (@p102 @p101)) % 0.95/1.18 (step @p104 :rule refl :args (@t146)) % 0.95/1.18 (step @p105 :rule refl :args (@t133)) % 0.95/1.18 (step @p106 :rule refl :args (@t147)) % 0.95/1.18 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p103) :args (@t160)) % 0.95/1.18 (step @p108 :rule quant-miniscope-or :args ((= @t151 @t160))) % 0.95/1.18 (step @p109 :rule trans :premises (@p108 @p107)) % 0.95/1.18 (step @p110 :rule symm :premises (@p109)) % 0.95/1.18 (step @p111 :rule cong :premises (@p110) :args (@t163)) % 0.95/1.18 (step @p112 :rule trans :premises (@p111 @p98)) % 0.95/1.18 (step @p113 :rule refl :args (@t165)) % 0.95/1.18 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t166)) % 0.95/1.18 (step @p115 :rule quant-miniscope-or :args ((= (forall @t9 @t167) @t166))) % 0.95/1.18 (step @p116 :rule aci_norm :args ((= @t168 @t167))) % 0.95/1.18 (step @p117 :rule cong :premises (@p116) :args ((forall @t9 @t168))) % 0.95/1.18 (step @p118 :rule trans :premises (@p117 @p115)) % 0.95/1.18 (step @p119 :rule trans :premises (@p118 @p114)) % 0.95/1.18 (step @p120 :rule aci_norm :args ((= (or @t147 @t169) @t168))) % 0.95/1.18 (step @p121 :rule bool-impl-elim :args (@t17 @t169)) % 0.95/1.18 (step @p122 :rule trans :premises (@p121 @p120)) % 0.95/1.18 (step @p123 :rule cong :premises (@p122) :args ((forall @t9 (=> @t17 @t169)))) % 0.95/1.18 (step @p124 :rule trans :premises (@p123 @p119)) % 0.95/1.18 (step @p125 :rule quant-miniscope-or :args ((= (forall @t7 @t170) @t169))) % 0.95/1.18 (step @p126 :rule aci_norm :args ((= @t171 @t170))) % 0.95/1.18 (step @p127 :rule cong :premises (@p126) :args ((forall @t7 @t171))) % 0.95/1.18 (step @p128 :rule trans :premises (@p127 @p125)) % 0.95/1.18 (step @p129 :rule aci_norm :args ((= (or @t164 @t172) @t171))) % 0.95/1.18 (step @p130 :rule bool-impl-elim :args (@t21 @t172)) % 0.95/1.18 (step @p131 :rule trans :premises (@p130 @p129)) % 0.95/1.18 (step @p132 :rule cong :premises (@p131) :args ((forall @t7 (=> @t21 @t172)))) % 0.95/1.18 (step @p133 :rule trans :premises (@p132 @p128)) % 0.95/1.18 (step @p134 :rule aci_norm :args ((= (or @t133 @t146 @t164 (or @t147 @t161)) @t172))) % 0.95/1.18 (step @p135 :rule alpha_equiv :args (@t183 @t184 @t156)) % 0.95/1.18 (step @p136 :rule quant-unused-vars :args ((= @t185 @t134))) % 0.95/1.18 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t186)) % 0.95/1.18 (step @p138 :rule quant-miniscope-and :args ((= @t188 @t186))) % 0.95/1.18 (step @p139 :rule trans :premises (@p138 @p137)) % 0.95/1.18 (step @p140 :rule refl :args (@t147)) % 0.95/1.18 (step @p141 :rule nary_cong :premises (@p140 @p139) :args (@t189)) % 0.95/1.18 (step @p142 :rule quant-miniscope-or :args ((= (forall @t182 @t190) @t189))) % 0.95/1.18 (step @p143 :rule trans :premises (@p142 @p141)) % 0.95/1.18 (step @p144 :rule aci_norm :args ((= (or @t147 false @t187) @t190))) % 0.95/1.18 (step @p145 :rule refl :args (@t187)) % 0.95/1.18 (step @p146 :rule evaluate :args ((not true))) % 0.95/1.18 (step @p147 :rule eq-refl :args (@t2)) % 0.95/1.18 (step @p148 :rule cong :premises (@p147) :args (@t191)) % 0.95/1.18 (step @p149 :rule trans :premises (@p148 @p146)) % 0.95/1.18 (step @p150 :rule nary_cong :premises (@p140 @p149 @p145) :args (@t192)) % 0.95/1.18 (step @p151 :rule trans :premises (@p150 @p144)) % 0.95/1.18 (step @p152 :rule cong :premises (@p151) :args ((forall @t182 @t192))) % 0.95/1.18 (step @p153 :rule trans :premises (@p152 @p143)) % 0.95/1.18 (step @p154 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t60) @t196 @t116 @t195)) @t192))) % 0.95/1.18 (step @p155 :rule refl :args (@t195)) % 0.95/1.18 (step @p156 :rule refl :args (@t116)) % 0.95/1.18 (step @p157 :rule refl :args (@t196)) % 0.95/1.18 (step @p158 :rule eq-symm :args (@t2 @t12)) % 0.95/1.18 (step @p159 :rule cong :premises (@p158) :args (@t116)) % 0.95/1.18 (step @p160 :rule nary_cong :premises (@p159 @p157 @p156 @p155) :args (@t197)) % 0.95/1.18 (step @p161 :rule aci_norm :args ((= @t198 @t197))) % 0.95/1.18 (step @p162 :rule trans :premises (@p161 @p160)) % 0.95/1.18 (step @p163 :rule cong :premises (@p162) :args (@t199)) % 0.95/1.18 (step @p164 :rule trans :premises (@p163 @p154)) % 0.95/1.18 (step @p165 :rule cong :premises (@p164) :args (@t200)) % 0.95/1.18 (step @p166 :rule quant-merge-prenex :args ((= @t200 @t201))) % 0.95/1.18 (step @p167 :rule symm :premises (@p166)) % 0.95/1.18 (step @p168 :rule quant_var_reordering :args ((= @t202 @t201))) % 0.95/1.18 (step @p169 :rule trans :premises (@p168 @p167 @p165)) % 0.95/1.18 (step @p170 :rule trans :premises (@p169 @p153)) % 0.95/1.18 (step @p171 :rule quant-merge-prenex :args ((= (forall @t16 @t203) @t202))) % 0.95/1.18 (step @p172 :rule alpha_equiv :args (@t204 @t184 (@list @t66 @t206 @t205))) % 0.95/1.18 (step @p173 :rule quant-unused-vars :args ((= @t207 @t194))) % 0.95/1.18 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t208)) % 0.95/1.18 (step @p175 :rule quant-miniscope-and :args ((= @t209 @t208))) % 0.95/1.18 (step @p176 :rule trans :premises (@p175 @p174)) % 0.95/1.18 (step @p177 :rule nary_cong :premises (@p157 @p156 @p176) :args (@t210)) % 0.95/1.18 (step @p178 :rule quant-miniscope-or :args ((= @t203 @t210))) % 0.95/1.18 (step @p179 :rule trans :premises (@p178 @p177)) % 0.95/1.18 (step @p180 :rule symm :premises (@p179)) % 0.95/1.18 (step @p181 :rule cong :premises (@p180) :args (@t221)) % 0.95/1.18 (step @p182 :rule trans :premises (@p181 @p171)) % 0.95/1.18 (step @p183 :rule trans :premises (@p182 @p170)) % 0.95/1.18 (step @p184 :rule refl :args (@t164)) % 0.95/1.18 (step @p185 :rule refl :args (@t146)) % 0.95/1.18 (step @p186 :rule refl :args (@t133)) % 0.95/1.18 (step @p187 :rule nary_cong :premises (@p186 @p185 @p184 @p183) :args (@t222)) % 0.95/1.18 (step @p188 :rule trans :premises (@p187 @p134)) % 0.95/1.18 (step @p189 :rule quant-miniscope-or :args ((= (forall @t16 @t223) @t222))) % 0.95/1.18 (step @p190 :rule aci_norm :args ((= @t224 @t223))) % 0.95/1.18 (step @p191 :rule cong :premises (@p190) :args ((forall @t16 @t224))) % 0.95/1.18 (step @p192 :rule trans :premises (@p191 @p189)) % 0.95/1.18 (step @p193 :rule trans :premises (@p192 @p188)) % 0.95/1.18 (step @p194 :rule aci_norm :args ((= (or @t196 @t225) @t224))) % 0.95/1.18 (step @p195 :rule bool-impl-elim :args (@t15 @t225)) % 0.95/1.18 (step @p196 :rule trans :premises (@p195 @p194)) % 0.95/1.18 (step @p197 :rule cong :premises (@p196) :args ((forall @t16 (=> @t15 @t225)))) % 0.95/1.18 (step @p198 :rule trans :premises (@p197 @p193)) % 0.95/1.18 (step @p199 :rule aci_norm :args ((= (or @t164 false) @t164))) % 0.95/1.18 (step @p200 :rule eq-refl :args (@t1)) % 0.95/1.18 (step @p201 :rule cong :premises (@p200) :args (@t226)) % 0.95/1.18 (step @p202 :rule trans :premises (@p201 @p146)) % 0.95/1.18 (step @p203 :rule nary_cong :premises (@p184 @p202) :args (@t227)) % 0.95/1.18 (step @p204 :rule trans :premises (@p203 @p199)) % 0.95/1.18 (step @p205 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t118 @t117)) @t227))) % 0.95/1.18 (step @p206 :rule refl :args (@t117)) % 0.95/1.18 (step @p207 :rule refl :args (@t118)) % 0.95/1.18 (step @p208 :rule eq-symm :args (@t1 @t10)) % 0.95/1.18 (step @p209 :rule cong :premises (@p208) :args (@t117)) % 0.95/1.18 (step @p210 :rule nary_cong :premises (@p209 @p207 @p206) :args (@t228)) % 0.95/1.18 (step @p211 :rule aci_norm :args ((= @t229 @t228))) % 0.95/1.18 (step @p212 :rule trans :premises (@p211 @p210)) % 0.95/1.18 (step @p213 :rule cong :premises (@p212) :args (@t230)) % 0.95/1.18 (step @p214 :rule trans :premises (@p213 @p205)) % 0.95/1.18 (step @p215 :rule trans :premises (@p214 @p204)) % 0.95/1.18 (step @p216 :rule refl :args (@t219)) % 0.95/1.18 (step @p217 :rule refl :args (@t116)) % 0.95/1.18 (step @p218 :rule nary_cong :premises (@p217 @p186 @p185 @p216 @p215) :args (@t231)) % 0.95/1.18 (step @p219 :rule quant-miniscope-or :args ((= (forall @t14 @t232) @t231))) % 0.95/1.18 (step @p220 :rule aci_norm :args ((= @t233 @t232))) % 0.95/1.18 (step @p221 :rule cong :premises (@p220) :args ((forall @t14 @t233))) % 0.95/1.18 (step @p222 :rule trans :premises (@p221 @p219)) % 0.95/1.18 (step @p223 :rule trans :premises (@p222 @p218)) % 0.95/1.18 (step @p224 :rule aci_norm :args ((= @t235 @t217))) % 0.95/1.18 (step @p225 :rule cong :premises (@p224) :args (@t236)) % 0.95/1.18 (step @p226 :rule quant-merge-prenex :args ((= (forall @t92 @t238) @t236))) % 0.95/1.18 (step @p227 :rule alpha_equiv :args (@t239 (@list @t206 @t205) (@list @t70 @t240))) % 0.95/1.18 (step @p228 :rule refl :args (@t216)) % 0.95/1.18 (step @p229 :rule nary_cong :premises (@p228 @p227) :args (@t241)) % 0.95/1.18 (step @p230 :rule quant-miniscope-or :args ((= @t238 @t241))) % 0.95/1.18 (step @p231 :rule trans :premises 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:args (@t360 (@list @t351) (@list @t1))) % 0.95/1.19 (step @p486 :rule refl :args (@t354)) % 0.95/1.19 (step @p487 :rule nary_cong :premises (@p486 @p485) :args (@t361)) % 0.95/1.19 (step @p488 :rule quant-miniscope-or :args ((= @t359 @t361))) % 0.95/1.19 (step @p489 :rule trans :premises (@p488 @p487)) % 0.95/1.19 (step @p490 :rule symm :premises (@p489)) % 0.95/1.19 (step @p491 :rule cong :premises (@p490) :args ((forall @t9 (or @t354 @t362)))) % 0.95/1.19 (step @p492 :rule trans :premises (@p491 @p484)) % 0.95/1.19 (step @p493 :rule trans :premises (@p492 @p483)) % 0.95/1.19 (step @p494 :rule bool-impl-elim :args (@t8 @t362)) % 0.95/1.19 (step @p495 :rule cong :premises (@p494) :args ((forall @t9 (=> @t8 @t362)))) % 0.95/1.19 (step @p496 :rule trans :premises (@p495 @p493)) % 0.95/1.19 (step @p497 :rule bool-impl-elim :args (@t6 @t61)) % 0.95/1.19 (step @p498 :rule cong :premises (@p497) :args (@t62)) % 0.95/1.19 (step @p499 :rule refl :args (@t8)) % 0.95/1.19 (step @p500 :rule cong :premises (@p499 @p498) :args (@t63)) % 0.95/1.19 (step @p501 :rule cong :premises (@p500) :args (@t64)) % 0.95/1.19 (step @p502 :rule trans :premises (@p501 @p496)) % 0.95/1.19 (step @p503 :rule eq_resolve :premises (@p93 @p502)) % 0.95/1.19 (step @p504 :rule instantiate :premises (@p503) :args ((@list @t302 @t343))) % 0.95/1.19 (step @p505 :rule cnf_or_neg :args (@t349 4)) % 0.95/1.19 (step @p506 :rule chain_m_resolution :premises (@p505 @p474) :args ((not @t345) @t334 @t350)) % 0.95/1.19 (step @p507 :rule cnf_and_pos :args (@t363 1)) % 0.95/1.19 (step @p508 :rule reordering :premises (@p507) :args ((or @t345 @t364))) % 0.95/1.19 (step @p509 :rule chain_m_resolution :premises (@p508 @p506) :args (@t364 @t334 (@list @t345))) % 0.95/1.19 (step @p510 :rule bool-double-not-elim :args (@t346)) % 0.95/1.19 (step @p511 :rule nary_cong :premises (@p476 @p510) :args ((or @t349 (not @t347)))) % 0.95/1.19 (step @p512 :rule cnf_or_neg :args (@t349 3)) % 0.95/1.19 (step @p513 :rule eq_resolve :premises (@p512 @p511)) % 0.95/1.19 (step @p514 :rule reordering :premises (@p513) :args ((or @t346 @t349))) % 0.95/1.19 (step @p515 :rule chain_m_resolution :premises (@p514 @p474) :args (@t346 @t334 @t350)) % 0.95/1.19 (step @p516 :rule cnf_equiv_pos1 :args (@t365)) % 0.95/1.19 (step @p517 :rule reordering :premises (@p516) :args ((or @t347 @t363 @t366))) % 0.95/1.19 (step @p518 :rule chain_m_resolution :premises (@p517 @p515 @p509) :args (@t366 (@list false true) (@list @t346 @t363))) % 0.95/1.19 (step @p519 :rule cnf_or_pos :args (@t367)) % 0.95/1.19 (step @p520 :rule reordering :premises (@p519) :args ((or @t314 @t348 @t365 (not @t367)))) % 0.95/1.19 (step @p521 false :rule chain_m_resolution :premises (@p520 @p518 @p504 @p481 @p429) :args (false (@list true false false false) (@list @t365 @t367 @t344 @t313))) % 0.95/1.19 ) % 0.95/1.19 % SZS output end Proof % 0.95/1.19 % cvc5 exiting %------------------------------------------------------------------------------