%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC395+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:59:09 AM UTC 2026 % Result : Theorem 28.36s 28.80s % Output : Proof 28.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWC395+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n011.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:45:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.53 %----Proving TF0_NAR, FOF, or CNF % 28.36/28.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.36/28.80 --- Run --no-e-matching --full-saturate-quant at 6... % 28.36/28.80 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.36/28.80 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.36/28.80 % SZS status Theorem % 28.36/28.80 % SZS output start Proof % 28.36/28.80 ( % 28.36/28.80 (declare-sort $$unsorted 0) % 28.36/28.80 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 28.36/28.80 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 28.36/28.80 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 28.36/28.80 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 28.36/28.80 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 28.36/28.80 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 28.36/28.80 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 28.36/28.80 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 28.36/28.80 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 28.36/28.80 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 28.36/28.80 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 28.36/28.80 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 28.36/28.80 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 28.36/28.80 (declare-const tptp.nil $$unsorted) % 28.36/28.80 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 28.36/28.80 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 28.36/28.80 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 28.36/28.80 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 28.36/28.80 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 28.36/28.80 (declare-const tptp.ssList (-> $$unsorted Bool)) % 28.36/28.80 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 28.36/28.80 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 28.36/28.80 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 28.36/28.80 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 28.36/28.80 (define @t1 () (@var "V" $$unsorted)) % 28.36/28.80 (define @t2 () (@var "U" $$unsorted)) % 28.36/28.80 (define @t3 () (= @t2 @t1)) % 28.36/28.80 (define @t4 () (not @t3)) % 28.36/28.80 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 28.36/28.80 (define @t6 () (tptp.ssItem @t1)) % 28.36/28.80 (define @t7 () (@list @t1)) % 28.36/28.80 (define @t8 () (tptp.ssItem @t2)) % 28.36/28.80 (define @t9 () (@list @t2)) % 28.36/28.80 (define @t10 () (@var "X" $$unsorted)) % 28.36/28.80 (define @t11 () (tptp.cons @t1 @t10)) % 28.36/28.80 (define @t12 () (@var "W" $$unsorted)) % 28.36/28.80 (define @t13 () (tptp.ssList @t10)) % 28.36/28.80 (define @t14 () (@list @t10)) % 28.36/28.80 (define @t15 () (tptp.ssList @t12)) % 28.36/28.80 (define @t16 () (@list @t12)) % 28.36/28.80 (define @t17 () (tptp.ssList @t2)) % 28.36/28.80 (define @t18 () (tptp.cons @t1 tptp.nil)) % 28.36/28.80 (define @t19 () (tptp.app @t1 @t12)) % 28.36/28.80 (define @t20 () (tptp.frontsegP @t2 @t1)) % 28.36/28.80 (define @t21 () (tptp.ssList @t1)) % 28.36/28.80 (define @t22 () (tptp.app @t12 @t1)) % 28.36/28.80 (define @t23 () (tptp.rearsegP @t2 @t1)) % 28.36/28.80 (define @t24 () (tptp.segmentP @t2 @t1)) % 28.36/28.80 (define @t25 () (tptp.leq @t12 @t1)) % 28.36/28.80 (define @t26 () (tptp.leq @t1 @t12)) % 28.36/28.80 (define @t27 () (@var "Z" $$unsorted)) % 28.36/28.80 (define @t28 () (@var "Y" $$unsorted)) % 28.36/28.80 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 28.36/28.80 (define @t30 () (tptp.ssList @t27)) % 28.36/28.80 (define @t31 () (@list @t27)) % 28.36/28.80 (define @t32 () (tptp.ssList @t28)) % 28.36/28.80 (define @t33 () (@list @t28)) % 28.36/28.80 (define @t34 () (tptp.ssItem @t12)) % 28.36/28.80 (define @t35 () (tptp.lt @t1 @t12)) % 28.36/28.80 (define @t36 () (= @t1 @t12)) % 28.36/28.80 (define @t37 () (forall @t7 (=> @t21 @t5))) % 28.36/28.80 (define @t38 () (=> @t17 @t37)) % 28.36/28.80 (define @t39 () (forall @t9 @t38)) % 28.36/28.80 (define @t40 () (tptp.cons @t1 @t2)) % 28.36/28.80 (define @t41 () (tptp.ssList @t40)) % 28.36/28.80 (define @t42 () (forall @t7 (=> @t6 @t41))) % 28.36/28.80 (define @t43 () (=> @t17 @t42)) % 28.36/28.80 (define @t44 () (forall @t9 @t43)) % 28.36/28.80 (define @t45 () (tptp.ssList tptp.nil)) % 28.36/28.80 (define @t46 () (= @t1 @t2)) % 28.36/28.80 (define @t47 () (tptp.cons @t12 @t1)) % 28.36/28.80 (define @t48 () (= tptp.nil @t2)) % 28.36/28.80 (define @t49 () (tptp.hd @t2)) % 28.36/28.80 (define @t50 () (tptp.ssItem @t49)) % 28.36/28.80 (define @t51 () (not @t48)) % 28.36/28.80 (define @t52 () (=> @t51 @t50)) % 28.36/28.80 (define @t53 () (=> @t17 @t52)) % 28.36/28.80 (define @t54 () (forall @t9 @t53)) % 28.36/28.80 (define @t55 () (tptp.tl @t2)) % 28.36/28.80 (define @t56 () (tptp.ssList @t55)) % 28.36/28.80 (define @t57 () (=> @t51 @t56)) % 28.36/28.80 (define @t58 () (=> @t17 @t57)) % 28.36/28.80 (define @t59 () (forall @t9 @t58)) % 28.36/28.80 (define @t60 () (tptp.app @t2 @t1)) % 28.36/28.80 (define @t61 () (tptp.ssList @t60)) % 28.36/28.80 (define @t62 () (forall @t7 (=> @t21 @t61))) % 28.36/28.80 (define @t63 () (=> @t17 @t62)) % 28.36/28.80 (define @t64 () (forall @t9 @t63)) % 28.36/28.80 (define @t65 () (tptp.app @t1 @t2)) % 28.36/28.80 (define @t66 () (tptp.leq @t1 @t2)) % 28.36/28.80 (define @t67 () (tptp.leq @t2 @t1)) % 28.36/28.80 (define @t68 () (tptp.geq @t2 @t1)) % 28.36/28.80 (define @t69 () (tptp.lt @t1 @t2)) % 28.36/28.80 (define @t70 () (tptp.lt @t2 @t1)) % 28.36/28.80 (define @t71 () (tptp.lt @t2 @t12)) % 28.36/28.80 (define @t72 () (tptp.gt @t2 @t1)) % 28.36/28.80 (define @t73 () (tptp.memberP @t12 @t2)) % 28.36/28.80 (define @t74 () (tptp.memberP @t1 @t2)) % 28.36/28.80 (define @t75 () (= (tptp.memberP @t19 @t2) (or @t74 @t73))) % 28.36/28.80 (define @t76 () (forall @t16 (=> @t15 @t75))) % 28.36/28.80 (define @t77 () (=> @t21 @t76)) % 28.36/28.80 (define @t78 () (forall @t7 @t77)) % 28.36/28.80 (define @t79 () (=> @t8 @t78)) % 28.36/28.80 (define @t80 () (forall @t9 @t79)) % 28.36/28.80 (define @t81 () (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t73))) % 28.36/28.80 (define @t82 () (forall @t16 (=> @t15 @t81))) % 28.36/28.80 (define @t83 () (=> @t6 @t82)) % 28.36/28.80 (define @t84 () (forall @t7 @t83)) % 28.36/28.80 (define @t85 () (=> @t8 @t84)) % 28.36/28.80 (define @t86 () (forall @t9 @t85)) % 28.36/28.80 (define @t87 () (not (tptp.memberP tptp.nil @t2))) % 28.36/28.80 (define @t88 () (forall @t9 (=> @t8 @t87))) % 28.36/28.80 (define @t89 () (tptp.app @t12 @t2)) % 28.36/28.80 (define @t90 () (tptp.cons @t2 tptp.nil)) % 28.36/28.80 (define @t91 () (tptp.hd @t1)) % 28.36/28.80 (define @t92 () (= tptp.nil @t1)) % 28.36/28.80 (define @t93 () (not @t92)) % 28.36/28.80 (define @t94 () (tptp.cons @t2 @t1)) % 28.36/28.80 (define @t95 () (tptp.tl @t1)) % 28.36/28.80 (define @t96 () (tptp.cons @t49 @t55)) % 28.36/28.80 (define @t97 () (=> @t51 (= @t96 @t2))) % 28.36/28.80 (define @t98 () (=> @t17 @t97)) % 28.36/28.80 (define @t99 () (forall @t9 @t98)) % 28.36/28.80 (define @t100 () (= @t12 @t2)) % 28.36/28.80 (define @t101 () (tptp.neq @t10 tptp.nil)) % 28.36/28.80 (define @t102 () (tptp.neq tptp.nil @t10)) % 28.36/28.80 (define @t103 () (@var "X3" $$unsorted)) % 28.36/28.80 (define @t104 () (tptp.hd @t10)) % 28.36/28.80 (define @t105 () (@var "X2" $$unsorted)) % 28.36/28.80 (define @t106 () (tptp.cons @t103 tptp.nil)) % 28.36/28.80 (define @t107 () (tptp.ssItem @t103)) % 28.36/28.80 (define @t108 () (and @t107 (= @t106 @t105) (= @t104 @t103) @t102)) % 28.36/28.80 (define @t109 () (@list @t103)) % 28.36/28.80 (define @t110 () (exists @t109 @t108)) % 28.36/28.80 (define @t111 () (@var "X1" $$unsorted)) % 28.36/28.80 (define @t112 () (tptp.app @t111 @t105)) % 28.36/28.80 (define @t113 () (tptp.tl @t10)) % 28.36/28.80 (define @t114 () (tptp.ssList @t105)) % 28.36/28.80 (define @t115 () (and @t114 (= @t113 @t111) (= @t112 @t27) @t110 @t102)) % 28.36/28.80 (define @t116 () (@list @t105)) % 28.36/28.80 (define @t117 () (exists @t116 @t115)) % 28.36/28.80 (define @t118 () (tptp.ssList @t111)) % 28.36/28.80 (define @t119 () (and @t118 @t117)) % 28.36/28.80 (define @t120 () (@list @t111)) % 28.36/28.80 (define @t121 () (exists @t120 @t119)) % 28.36/28.80 (define @t122 () (= @t12 @t27)) % 28.36/28.80 (define @t123 () (not @t122)) % 28.36/28.80 (define @t124 () (and @t30 @t123 @t121)) % 28.36/28.80 (define @t125 () (exists @t31 @t124)) % 28.36/28.80 (define @t126 () (and @t125 @t101)) % 28.36/28.80 (define @t127 () (not (= tptp.nil @t12))) % 28.36/28.80 (define @t128 () (and @t127 (= tptp.nil @t10))) % 28.36/28.80 (define @t129 () (forall @t33 (or (not (tptp.ssItem @t28)) (not (tptp.memberP @t2 @t28)) (tptp.memberP @t1 @t28)))) % 28.36/28.80 (define @t130 () (not (= @t2 @t12))) % 28.36/28.80 (define @t131 () (not (= @t1 @t10))) % 28.36/28.80 (define @t132 () (not @t13)) % 28.36/28.80 (define @t133 () (or @t132 @t131 @t130 @t129 @t128 @t126)) % 28.36/28.80 (define @t134 () (forall @t14 @t133)) % 28.36/28.80 (define @t135 () (=> @t15 @t134)) % 28.36/28.80 (define @t136 () (forall @t16 @t135)) % 28.36/28.80 (define @t137 () (=> @t21 @t136)) % 28.36/28.80 (define @t138 () (forall @t7 @t137)) % 28.36/28.80 (define @t139 () (=> @t17 @t138)) % 28.36/28.80 (define @t140 () (forall @t9 @t139)) % 28.36/28.80 (define @t141 () (not @t140)) % 28.36/28.80 (define @t142 () (@var "BOUND_VARIABLE_11128" $$unsorted)) % 28.36/28.80 (define @t143 () (@var "BOUND_VARIABLE_11126" $$unsorted)) % 28.36/28.80 (define @t144 () (tptp.memberP @t143 @t142)) % 28.36/28.80 (define @t145 () (not (tptp.memberP @t2 @t142))) % 28.36/28.80 (define @t146 () (not (tptp.ssItem @t142))) % 28.36/28.80 (define @t147 () (tptp.hd @t143)) % 28.36/28.80 (define @t148 () (tptp.cons @t147 tptp.nil)) % 28.36/28.80 (define @t149 () (tptp.tl @t143)) % 28.36/28.80 (define @t150 () (tptp.app @t149 @t148)) % 28.36/28.80 (define @t151 () (and (tptp.neq tptp.nil @t143) (tptp.ssItem @t147) (tptp.ssList @t148) (tptp.ssList @t149) (tptp.ssList @t150) (not (= @t2 @t150)) (tptp.neq @t143 tptp.nil))) % 28.36/28.80 (define @t152 () (= @t2 tptp.nil)) % 28.36/28.80 (define @t153 () (not @t152)) % 28.36/28.80 (define @t154 () (and @t153 (= @t143 tptp.nil))) % 28.36/28.80 (define @t155 () (not (tptp.ssList @t143))) % 28.36/28.80 (define @t156 () (not @t17)) % 28.36/28.80 (define @t157 () (or @t156 @t155 @t154 @t151 @t146 @t145 @t144)) % 28.36/28.80 (define @t158 () (or @t155 @t154 @t151 @t146 @t145 @t144)) % 28.36/28.80 (define @t159 () (or @t156 @t158)) % 28.36/28.80 (define @t160 () (@list @t2 @t143 @t142)) % 28.36/28.80 (define @t161 () (forall @t160 @t159)) % 28.36/28.80 (define @t162 () (@list @t143 @t142)) % 28.36/28.80 (define @t163 () (forall @t162 @t159)) % 28.36/28.80 (define @t164 () (forall @t162 @t158)) % 28.36/28.80 (define @t165 () (@var "BOUND_VARIABLE_11109" $$unsorted)) % 28.36/28.80 (define @t166 () (or @t156 @t164)) % 28.36/28.80 (define @t167 () (tptp.memberP @t1 @t165)) % 28.36/28.80 (define @t168 () (not (tptp.memberP @t2 @t165))) % 28.36/28.80 (define @t169 () (not (tptp.ssItem @t165))) % 28.36/28.80 (define @t170 () (tptp.neq @t1 tptp.nil)) % 28.36/28.80 (define @t171 () (tptp.cons @t91 tptp.nil)) % 28.36/28.80 (define @t172 () (tptp.app @t95 @t171)) % 28.36/28.80 (define @t173 () (tptp.ssList @t172)) % 28.36/28.80 (define @t174 () (tptp.ssList @t95)) % 28.36/28.80 (define @t175 () (tptp.ssList @t171)) % 28.36/28.80 (define @t176 () (tptp.ssItem @t91)) % 28.36/28.80 (define @t177 () (tptp.neq tptp.nil @t1)) % 28.36/28.80 (define @t178 () (and @t177 @t176 @t175 @t174 @t173 (not (= @t2 @t172)) @t170)) % 28.36/28.80 (define @t179 () (= @t1 tptp.nil)) % 28.36/28.80 (define @t180 () (and @t153 @t179)) % 28.36/28.80 (define @t181 () (not @t21)) % 28.36/28.80 (define @t182 () (or @t181 @t180 @t178 @t169 @t168 @t167)) % 28.36/28.80 (define @t183 () (@list @t1 @t165)) % 28.36/28.80 (define @t184 () (or @t156 (forall @t183 @t182))) % 28.36/28.80 (define @t185 () (or @t169 @t168 @t167)) % 28.36/28.80 (define @t186 () (or @t181 @t185 @t180 @t178)) % 28.36/28.80 (define @t187 () (forall @t183 @t186)) % 28.36/28.80 (define @t188 () (@list @t165)) % 28.36/28.80 (define @t189 () (forall @t188 @t186)) % 28.36/28.80 (define @t190 () (forall @t188 @t185)) % 28.36/28.80 (define @t191 () (or @t181 @t190 @t180 @t178)) % 28.36/28.80 (define @t192 () (or @t181 @t129 @t180 @t178)) % 28.36/28.80 (define @t193 () (forall @t7 @t192)) % 28.36/28.80 (define @t194 () (or @t156 @t193)) % 28.36/28.80 (define @t195 () (or @t156 @t192)) % 28.36/28.80 (define @t196 () (or @t181 @t129 @t156 @t180 @t178)) % 28.36/28.80 (define @t197 () (or @t129 @t181 @t156 @t180 @t178)) % 28.36/28.80 (define @t198 () (or @t156 @t180 @t178)) % 28.36/28.80 (define @t199 () (not (= @t2 @t2))) % 28.36/28.80 (define @t200 () (or @t156 @t199 @t180 @t178)) % 28.36/28.80 (define @t201 () (and @t177 @t176 @t175 @t174 @t173 (not (= @t12 @t172)) @t170)) % 28.36/28.80 (define @t202 () (not (= @t12 tptp.nil))) % 28.36/28.80 (define @t203 () (and @t202 @t179)) % 28.36/28.80 (define @t204 () (not @t15)) % 28.36/28.80 (define @t205 () (or @t130 @t204 @t130 @t203 @t201)) % 28.36/28.80 (define @t206 () (or @t204 @t130 @t203 @t201)) % 28.36/28.80 (define @t207 () (forall @t16 @t206)) % 28.36/28.80 (define @t208 () (or @t129 @t181 @t207)) % 28.36/28.80 (define @t209 () (or @t129 @t181 @t206)) % 28.36/28.80 (define @t210 () (or @t204 @t130 @t129 @t181 @t203 @t201)) % 28.36/28.80 (define @t211 () (or @t130 @t129 @t181 @t203 @t201)) % 28.36/28.80 (define @t212 () (or @t181 @t203 @t201)) % 28.36/28.80 (define @t213 () (not (= @t1 @t1))) % 28.36/28.80 (define @t214 () (or @t181 @t213 @t203 @t201)) % 28.36/28.80 (define @t215 () (tptp.cons @t104 tptp.nil)) % 28.36/28.80 (define @t216 () (tptp.app @t113 @t215)) % 28.36/28.80 (define @t217 () (= @t12 @t216)) % 28.36/28.80 (define @t218 () (not @t217)) % 28.36/28.80 (define @t219 () (tptp.ssList @t216)) % 28.36/28.80 (define @t220 () (tptp.ssList @t113)) % 28.36/28.80 (define @t221 () (tptp.ssList @t215)) % 28.36/28.80 (define @t222 () (tptp.ssItem @t104)) % 28.36/28.80 (define @t223 () (and @t102 @t222 @t221 @t220 @t219 @t218 @t101)) % 28.36/28.80 (define @t224 () (and @t202 (= @t10 tptp.nil))) % 28.36/28.80 (define @t225 () (or @t131 @t132 @t131 @t224 @t223)) % 28.36/28.80 (define @t226 () (or @t132 @t131 @t224 @t223)) % 28.36/28.80 (define @t227 () (forall @t14 @t226)) % 28.36/28.80 (define @t228 () (or @t130 @t129 @t227)) % 28.36/28.80 (define @t229 () (or @t130 @t129 @t226)) % 28.36/28.80 (define @t230 () (or @t132 @t131 @t130 @t129 @t224 @t223)) % 28.36/28.80 (define @t231 () (not @t219)) % 28.36/28.80 (define @t232 () (not @t231)) % 28.36/28.80 (define @t233 () (not @t220)) % 28.36/28.80 (define @t234 () (not @t233)) % 28.36/28.80 (define @t235 () (not @t221)) % 28.36/28.80 (define @t236 () (not @t235)) % 28.36/28.80 (define @t237 () (not @t222)) % 28.36/28.80 (define @t238 () (not @t237)) % 28.36/28.80 (define @t239 () (not @t102)) % 28.36/28.80 (define @t240 () (not @t239)) % 28.36/28.80 (define @t241 () (and @t240 @t238 @t236 @t234 @t232 @t218)) % 28.36/28.80 (define @t242 () (or @t231 @t217)) % 28.36/28.80 (define @t243 () (or @t239 @t237 @t235 @t233 @t231 @t217)) % 28.36/28.80 (define @t244 () (and (not @t243) @t101)) % 28.36/28.80 (define @t245 () (or @t132 @t131 @t130 @t129 @t224 @t244)) % 28.36/28.80 (define @t246 () (not (= @t216 @t216))) % 28.36/28.80 (define @t247 () (or @t231 @t217 @t246)) % 28.36/28.80 (define @t248 () (not (= @t27 @t216))) % 28.36/28.80 (define @t249 () (not @t30)) % 28.36/28.80 (define @t250 () (or @t248 @t249 @t122 @t248)) % 28.36/28.80 (define @t251 () (or @t249 @t122 @t248)) % 28.36/28.80 (define @t252 () (forall @t31 @t251)) % 28.36/28.80 (define @t253 () (or @t239 @t237 @t235 @t233 @t252)) % 28.36/28.80 (define @t254 () (or @t239 @t237 @t235 @t233 @t251)) % 28.36/28.80 (define @t255 () (or @t249 @t122 @t239 @t237 @t235 @t233 @t248)) % 28.36/28.80 (define @t256 () (or @t239 @t237 @t235 @t233 @t248)) % 28.36/28.80 (define @t257 () (not @t256)) % 28.36/28.80 (define @t258 () (not @t257)) % 28.36/28.80 (define @t259 () (not @t123)) % 28.36/28.80 (define @t260 () (or @t249 @t259 @t258)) % 28.36/28.80 (define @t261 () (and @t30 @t123 @t257)) % 28.36/28.80 (define @t262 () (forall @t31 (not @t261))) % 28.36/28.80 (define @t263 () (not @t262)) % 28.36/28.80 (define @t264 () (or @t233 @t248)) % 28.36/28.80 (define @t265 () (not (= @t113 @t113))) % 28.36/28.80 (define @t266 () (or @t233 @t265 @t248)) % 28.36/28.80 (define @t267 () (not (= @t27 (tptp.app @t111 @t215)))) % 28.36/28.80 (define @t268 () (= @t111 @t113)) % 28.36/28.80 (define @t269 () (not @t268)) % 28.36/28.80 (define @t270 () (not @t118)) % 28.36/28.80 (define @t271 () (or @t269 @t270 @t269 @t267)) % 28.36/28.80 (define @t272 () (or @t270 @t269 @t267)) % 28.36/28.80 (define @t273 () (forall @t120 @t272)) % 28.36/28.80 (define @t274 () (or @t239 @t237 @t235 @t273)) % 28.36/28.80 (define @t275 () (or @t239 @t237 @t235 @t272)) % 28.36/28.80 (define @t276 () (or @t270 @t269 @t239 @t237 @t235 @t267)) % 28.36/28.80 (define @t277 () (or @t269 @t239 @t237 @t235 @t267)) % 28.36/28.80 (define @t278 () (not @t277)) % 28.36/28.80 (define @t279 () (and @t118 @t278)) % 28.36/28.80 (define @t280 () (forall @t120 (not @t279))) % 28.36/28.80 (define @t281 () (not @t280)) % 28.36/28.80 (define @t282 () (or @t235 @t267)) % 28.36/28.80 (define @t283 () (not (= @t215 @t215))) % 28.36/28.80 (define @t284 () (or @t235 @t267 @t283)) % 28.36/28.80 (define @t285 () (not (= @t105 @t215))) % 28.36/28.80 (define @t286 () (= @t27 @t112)) % 28.36/28.80 (define @t287 () (not @t286)) % 28.36/28.80 (define @t288 () (not @t114)) % 28.36/28.80 (define @t289 () (or @t285 @t288 @t287 @t285)) % 28.36/28.80 (define @t290 () (or @t288 @t287 @t285)) % 28.36/28.80 (define @t291 () (forall @t116 @t290)) % 28.36/28.80 (define @t292 () (or @t269 @t239 @t237 @t291)) % 28.36/28.80 (define @t293 () (or @t269 @t239 @t237 @t290)) % 28.36/28.80 (define @t294 () (or @t288 @t269 @t287 @t239 @t237 @t285)) % 28.36/28.80 (define @t295 () (or @t239 @t237 @t285)) % 28.36/28.80 (define @t296 () (not @t295)) % 28.36/28.80 (define @t297 () (not @t296)) % 28.36/28.80 (define @t298 () (or @t288 @t269 @t287 @t297 @t239)) % 28.36/28.80 (define @t299 () (and @t114 @t268 @t286 @t296 @t102)) % 28.36/28.80 (define @t300 () (forall @t116 (not @t299))) % 28.36/28.80 (define @t301 () (not @t300)) % 28.36/28.80 (define @t302 () (or @t237 @t285)) % 28.36/28.80 (define @t303 () (not (= @t104 @t104))) % 28.36/28.80 (define @t304 () (or @t237 @t285 @t303)) % 28.36/28.80 (define @t305 () (= @t103 @t104)) % 28.36/28.80 (define @t306 () (not @t305)) % 28.36/28.80 (define @t307 () (= @t105 @t106)) % 28.36/28.80 (define @t308 () (not @t307)) % 28.36/28.80 (define @t309 () (not @t107)) % 28.36/28.80 (define @t310 () (or @t306 @t309 @t308 @t306)) % 28.36/28.80 (define @t311 () (or @t309 @t308 @t306)) % 28.36/28.80 (define @t312 () (forall @t109 @t311)) % 28.36/28.80 (define @t313 () (or @t239 @t312)) % 28.36/28.80 (define @t314 () (or @t239 @t311)) % 28.36/28.80 (define @t315 () (or @t309 @t308 @t306 @t239)) % 28.36/28.80 (define @t316 () (and @t107 @t307 @t305 @t102)) % 28.36/28.80 (define @t317 () (forall @t109 (not @t316))) % 28.36/28.80 (define @t318 () (not @t317)) % 28.36/28.80 (define @t319 () (forall @t160 (or @t156 @t155 (and @t153 (= tptp.nil @t143)) @t151 @t146 @t145 @t144))) % 28.36/28.80 (define @t320 () (@quantifiers_skolemize @t319 2)) % 28.36/28.80 (define @t321 () (@quantifiers_skolemize @t319 1)) % 28.36/28.80 (define @t322 () (tptp.memberP @t321 @t320)) % 28.36/28.80 (define @t323 () (@quantifiers_skolemize @t319 0)) % 28.36/28.80 (define @t324 () (tptp.memberP @t323 @t320)) % 28.36/28.80 (define @t325 () (not @t324)) % 28.36/28.80 (define @t326 () (tptp.ssItem @t320)) % 28.36/28.80 (define @t327 () (not @t326)) % 28.36/28.80 (define @t328 () (tptp.neq @t321 tptp.nil)) % 28.36/28.80 (define @t329 () (tptp.hd @t321)) % 28.36/28.80 (define @t330 () (tptp.cons @t329 tptp.nil)) % 28.36/28.80 (define @t331 () (tptp.tl @t321)) % 28.36/28.80 (define @t332 () (tptp.app @t331 @t330)) % 28.36/28.80 (define @t333 () (= @t323 @t332)) % 28.36/28.80 (define @t334 () (not @t333)) % 28.36/28.80 (define @t335 () (tptp.ssList @t332)) % 28.36/28.80 (define @t336 () (tptp.ssList @t331)) % 28.36/28.80 (define @t337 () (tptp.ssList @t330)) % 28.36/28.80 (define @t338 () (tptp.ssItem @t329)) % 28.36/28.80 (define @t339 () (tptp.neq tptp.nil @t321)) % 28.36/28.80 (define @t340 () (and @t339 @t338 @t337 @t336 @t335 @t334 @t328)) % 28.36/28.80 (define @t341 () (= tptp.nil @t321)) % 28.36/28.80 (define @t342 () (= tptp.nil @t323)) % 28.36/28.80 (define @t343 () (not @t342)) % 28.36/28.80 (define @t344 () (and @t343 @t341)) % 28.36/28.80 (define @t345 () (tptp.ssList @t321)) % 28.36/28.80 (define @t346 () (not @t345)) % 28.36/28.80 (define @t347 () (not (tptp.ssList @t323))) % 28.36/28.80 (define @t348 () (or @t347 @t346 @t344 @t340 @t327 @t325 @t322)) % 28.36/28.80 (define @t349 () (not @t348)) % 28.36/28.80 (define @t350 () (not @t319)) % 28.36/28.80 (define @t351 () (not (= @t323 tptp.nil))) % 28.36/28.80 (define @t352 () (and @t351 @t341)) % 28.36/28.80 (define @t353 () (or @t347 @t346 @t352 @t340 @t327 @t325 @t322)) % 28.36/28.80 (define @t354 () (not @t353)) % 28.36/28.80 (define @t355 () (@list true)) % 28.36/28.80 (define @t356 () (@list @t348)) % 28.36/28.80 (define @t357 () (@var "BOUND_VARIABLE_9392" $$unsorted)) % 28.36/28.80 (define @t358 () (tptp.ssList (tptp.app @t2 @t357))) % 28.36/28.80 (define @t359 () (not (tptp.ssList @t357))) % 28.36/28.80 (define @t360 () (or @t359 @t358)) % 28.36/28.80 (define @t361 () (or @t156 @t360)) % 28.36/28.80 (define @t362 () (forall (@list @t2 @t357) @t361)) % 28.36/28.80 (define @t363 () (@list @t357)) % 28.36/28.80 (define @t364 () (forall @t363 @t361)) % 28.36/28.80 (define @t365 () (forall @t363 @t360)) % 28.36/28.80 (define @t366 () (@list @t1)) % 28.36/28.80 (define @t367 () (or @t156 @t365)) % 28.36/28.80 (define @t368 () (forall @t7 (or @t181 @t61))) % 28.36/28.80 (define @t369 () (or @t156 @t152 @t56)) % 28.36/28.80 (define @t370 () (not @t153)) % 28.36/28.80 (define @t371 () (=> @t153 @t56)) % 28.36/28.80 (define @t372 () (= @t321 tptp.nil)) % 28.36/28.80 (define @t373 () (or @t346 @t372 @t336)) % 28.36/28.80 (define @t374 () (forall @t9 @t369)) % 28.36/28.80 (define @t375 () (@list @t321)) % 28.36/28.80 (define @t376 () (or @t346 @t341 @t336)) % 28.36/28.80 (define @t377 () (@list false)) % 28.36/28.80 (define @t378 () (tptp.memberP tptp.nil @t320)) % 28.36/28.80 (define @t379 () (not @t378)) % 28.36/28.80 (define @t380 () (or @t327 @t379)) % 28.36/28.80 (define @t381 () (@list false true)) % 28.36/28.80 (define @t382 () (not @t341)) % 28.36/28.80 (define @t383 () (@list true true)) % 28.36/28.80 (define @t384 () (@list false true false)) % 28.36/28.80 (define @t385 () (@var "BOUND_VARIABLE_9148" $$unsorted)) % 28.36/28.80 (define @t386 () (tptp.ssList (tptp.cons @t385 @t2))) % 28.36/28.80 (define @t387 () (not (tptp.ssItem @t385))) % 28.36/28.80 (define @t388 () (or @t387 @t386)) % 28.36/28.80 (define @t389 () (or @t156 @t388)) % 28.36/28.80 (define @t390 () (forall (@list @t2 @t385) @t389)) % 28.36/28.80 (define @t391 () (@list @t385)) % 28.36/28.80 (define @t392 () (forall @t391 @t389)) % 28.36/28.80 (define @t393 () (forall @t391 @t388)) % 28.36/28.80 (define @t394 () (or @t156 @t393)) % 28.36/28.80 (define @t395 () (not @t6)) % 28.36/28.80 (define @t396 () (forall @t7 (or @t395 @t41))) % 28.36/28.80 (define @t397 () (or @t156 @t152 @t50)) % 28.36/28.80 (define @t398 () (=> @t153 @t50)) % 28.36/28.80 (define @t399 () (or @t346 @t372 @t338)) % 28.36/28.80 (define @t400 () (forall @t9 @t397)) % 28.36/28.80 (define @t401 () (or @t346 @t341 @t338)) % 28.36/28.80 (define @t402 () (not @t338)) % 28.36/28.80 (define @t403 () (not @t45)) % 28.36/28.80 (define @t404 () (or @t403 @t402 @t337)) % 28.36/28.80 (define @t405 () (@list false false false)) % 28.36/28.80 (define @t406 () (not @t337)) % 28.36/28.80 (define @t407 () (not @t336)) % 28.36/28.80 (define @t408 () (or @t407 @t406 @t335)) % 28.36/28.80 (define @t409 () (@var "BOUND_VARIABLE_9127" $$unsorted)) % 28.36/28.80 (define @t410 () (= (tptp.neq @t2 @t409) (not (= @t2 @t409)))) % 28.36/28.80 (define @t411 () (not (tptp.ssList @t409))) % 28.36/28.80 (define @t412 () (or @t156 @t411 @t410)) % 28.36/28.80 (define @t413 () (or @t411 @t410)) % 28.36/28.80 (define @t414 () (or @t156 @t413)) % 28.36/28.80 (define @t415 () (@list @t2 @t409)) % 28.36/28.80 (define @t416 () (forall @t415 @t414)) % 28.36/28.80 (define @t417 () (@list @t409)) % 28.36/28.80 (define @t418 () (forall @t417 @t414)) % 28.36/28.80 (define @t419 () (forall @t417 @t413)) % 28.36/28.80 (define @t420 () (or @t156 @t419)) % 28.36/28.80 (define @t421 () (forall @t7 (or @t181 @t5))) % 28.36/28.80 (define @t422 () (= @t339 @t382)) % 28.36/28.80 (define @t423 () (or @t403 @t346 @t422)) % 28.36/28.80 (define @t424 () (not @t422)) % 28.36/28.80 (define @t425 () (not @t382)) % 28.36/28.80 (define @t426 () (@list true false)) % 28.36/28.80 (define @t427 () (@var "BOUND_VARIABLE_9680" $$unsorted)) % 28.36/28.80 (define @t428 () (@var "BOUND_VARIABLE_9678" $$unsorted)) % 28.36/28.80 (define @t429 () (= (tptp.memberP (tptp.app @t428 @t427) @t2) (or (tptp.memberP @t428 @t2) (tptp.memberP @t427 @t2)))) % 28.36/28.80 (define @t430 () (not (tptp.ssList @t427))) % 28.36/28.80 (define @t431 () (not (tptp.ssList @t428))) % 28.36/28.80 (define @t432 () (not @t8)) % 28.36/28.80 (define @t433 () (or @t431 @t430 @t429)) % 28.36/28.80 (define @t434 () (or @t432 @t433)) % 28.36/28.80 (define @t435 () (forall (@list @t2 @t428 @t427) @t434)) % 28.36/28.80 (define @t436 () (@list @t428 @t427)) % 28.36/28.80 (define @t437 () (forall @t436 @t434)) % 28.36/28.80 (define @t438 () (forall @t436 @t433)) % 28.36/28.80 (define @t439 () (@var "BOUND_VARIABLE_9659" $$unsorted)) % 28.36/28.80 (define @t440 () (or @t432 @t438)) % 28.36/28.80 (define @t441 () (= (tptp.memberP (tptp.app @t1 @t439) @t2) (or @t74 (tptp.memberP @t439 @t2)))) % 28.36/28.80 (define @t442 () (not (tptp.ssList @t439))) % 28.36/28.80 (define @t443 () (or @t181 @t442 @t441)) % 28.36/28.80 (define @t444 () (@list @t1 @t439)) % 28.36/28.80 (define @t445 () (forall @t444 @t443)) % 28.36/28.80 (define @t446 () (or @t442 @t441)) % 28.36/28.80 (define @t447 () (or @t181 @t446)) % 28.36/28.80 (define @t448 () (forall @t444 @t447)) % 28.36/28.80 (define @t449 () (@list @t439)) % 28.36/28.80 (define @t450 () (forall @t449 @t447)) % 28.36/28.80 (define @t451 () (forall @t449 @t446)) % 28.36/28.80 (define @t452 () (@list @t12)) % 28.36/28.80 (define @t453 () (or @t181 @t451)) % 28.36/28.80 (define @t454 () (forall @t16 (or @t204 @t75))) % 28.36/28.80 (define @t455 () (tptp.memberP @t330 @t320)) % 28.36/28.80 (define @t456 () (tptp.memberP @t331 @t320)) % 28.36/28.80 (define @t457 () (or @t456 @t455)) % 28.36/28.80 (define @t458 () (tptp.memberP @t332 @t320)) % 28.36/28.80 (define @t459 () (= @t458 @t457)) % 28.36/28.80 (define @t460 () (or @t327 @t407 @t406 @t459)) % 28.36/28.80 (define @t461 () (@list false false false false)) % 28.36/28.80 (define @t462 () (@var "BOUND_VARIABLE_9726" $$unsorted)) % 28.36/28.80 (define @t463 () (@var "BOUND_VARIABLE_9724" $$unsorted)) % 28.36/28.80 (define @t464 () (= (tptp.memberP (tptp.cons @t463 @t462) @t2) (or (= @t2 @t463) (tptp.memberP @t462 @t2)))) % 28.36/28.80 (define @t465 () (not (tptp.ssList @t462))) % 28.36/28.80 (define @t466 () (not (tptp.ssItem @t463))) % 28.36/28.80 (define @t467 () (or @t466 @t465 @t464)) % 28.36/28.80 (define @t468 () (or @t432 @t467)) % 28.36/28.80 (define @t469 () (forall (@list @t2 @t463 @t462) @t468)) % 28.36/28.80 (define @t470 () (@list @t463 @t462)) % 28.36/28.80 (define @t471 () (forall @t470 @t468)) % 28.36/28.80 (define @t472 () (forall @t470 @t467)) % 28.36/28.80 (define @t473 () (@var "BOUND_VARIABLE_9705" $$unsorted)) % 28.36/28.80 (define @t474 () (or @t432 @t472)) % 28.36/28.80 (define @t475 () (= (tptp.memberP (tptp.cons @t1 @t473) @t2) (or @t3 (tptp.memberP @t473 @t2)))) % 28.36/28.80 (define @t476 () (not (tptp.ssList @t473))) % 28.36/28.80 (define @t477 () (or @t395 @t476 @t475)) % 28.36/28.80 (define @t478 () (@list @t1 @t473)) % 28.36/28.80 (define @t479 () (forall @t478 @t477)) % 28.36/28.80 (define @t480 () (or @t476 @t475)) % 28.36/28.80 (define @t481 () (or @t395 @t480)) % 28.36/28.80 (define @t482 () (forall @t478 @t481)) % 28.36/28.80 (define @t483 () (@list @t473)) % 28.36/28.80 (define @t484 () (forall @t483 @t481)) % 28.36/28.80 (define @t485 () (forall @t483 @t480)) % 28.36/28.80 (define @t486 () (or @t395 @t485)) % 28.36/28.80 (define @t487 () (forall @t16 (or @t204 @t81))) % 28.36/28.80 (define @t488 () (= @t320 @t329)) % 28.36/28.80 (define @t489 () (or @t488 @t378)) % 28.36/28.80 (define @t490 () (= @t455 @t489)) % 28.36/28.80 (define @t491 () (or @t327 @t402 @t403 @t490)) % 28.36/28.80 (define @t492 () (or @t488 @t456)) % 28.36/28.80 (define @t493 () (tptp.cons @t329 @t331)) % 28.36/28.80 (define @t494 () (tptp.memberP @t493 @t320)) % 28.36/28.80 (define @t495 () (= @t494 @t492)) % 28.36/28.80 (define @t496 () (or @t327 @t402 @t407 @t495)) % 28.36/28.80 (define @t497 () (= @t2 @t96)) % 28.36/28.80 (define @t498 () (or @t156 @t152 @t497)) % 28.36/28.80 (define @t499 () (=> @t153 @t497)) % 28.36/28.80 (define @t500 () (= @t321 @t493)) % 28.36/28.80 (define @t501 () (or @t346 @t372 @t500)) % 28.36/28.80 (define @t502 () (forall @t9 @t498)) % 28.36/28.80 (define @t503 () (or @t346 @t341 @t500)) % 28.36/28.80 (define @t504 () (not @t322)) % 28.36/28.80 (define @t505 () (not @t494)) % 28.36/28.80 (define @t506 () (not @t500)) % 28.36/28.80 (define @t507 () (and @t504 @t500)) % 28.36/28.80 (define @t508 () (not @t492)) % 28.36/28.80 (define @t509 () (not @t488)) % 28.36/28.80 (define @t510 () (@list @t492)) % 28.36/28.80 (define @t511 () (not @t489)) % 28.36/28.80 (define @t512 () (not @t455)) % 28.36/28.80 (define @t513 () (not @t456)) % 28.36/28.80 (define @t514 () (not @t457)) % 28.36/28.80 (define @t515 () (not @t458)) % 28.36/28.80 (define @t516 () (and @t333 @t324)) % 28.36/28.80 (define @t517 () (not @t328)) % 28.36/28.80 (define @t518 () (not @t335)) % 28.36/28.80 (define @t519 () (not @t339)) % 28.36/28.80 (define @t520 () (= @t328 @t382)) % 28.36/28.80 (define @t521 () (not @t520)) % 28.36/28.80 (define @t522 () (not @t372)) % 28.36/28.80 (define @t523 () (= @t328 @t522)) % 28.36/28.80 (define @t524 () (or @t346 @t403 @t523)) % 28.36/28.80 (define @t525 () (forall @t415 @t412)) % 28.36/28.80 (define @t526 () (or @t346 @t403 @t520)) % 28.36/28.80 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 28.36/28.80 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 28.36/28.80 (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))))))))))) % 28.36/28.80 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 28.36/28.80 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 28.36/28.80 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 28.36/28.80 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 28.36/28.80 (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))))))))))))))))) % 28.36/28.80 (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)))))))))))))))) % 28.36/28.80 (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))))))))))))))))) % 28.36/28.80 (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))))))))))))))) % 28.36/28.80 (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))))))))))))))) % 28.36/28.80 (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)))))))))))))))) % 28.36/28.80 (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))))))))))))) % 28.36/28.80 (assume @p15 @t39) % 28.36/28.80 (assume @p16 @t44) % 28.36/28.80 (assume @p17 @t45) % 28.36/28.80 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 28.36/28.80 (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) @t46))))))))))) % 28.36/28.80 (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t47 @t2))))))))) % 28.36/28.80 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 28.36/28.80 (assume @p22 @t54) % 28.36/28.80 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 28.36/28.80 (assume @p24 @t59) % 28.36/28.80 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 28.36/28.80 (assume @p26 @t64) % 28.36/28.80 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t65) (tptp.app @t47 @t2))))))))) % 28.36/28.80 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 28.36/28.80 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t67 @t66) @t3)))))) % 28.36/28.80 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t67 @t26) (tptp.leq @t2 @t12))))))))) % 28.36/28.80 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 28.36/28.80 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t68 @t66)))))) % 28.36/28.80 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t70 (not @t69))))))) % 28.36/28.80 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t70 @t35) @t71)))))))) % 28.36/28.80 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t72 @t69)))))) % 28.36/28.80 (assume @p36 @t80) % 28.36/28.80 (assume @p37 @t86) % 28.36/28.80 (assume @p38 @t88) % 28.36/28.80 (assume @p39 (not (tptp.singletonP tptp.nil))) % 28.36/28.80 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 28.36/28.80 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 28.36/28.80 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 28.36/28.80 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 28.36/28.80 (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)))))))))))) % 28.36/28.80 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 28.36/28.80 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48)))) % 28.36/28.80 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 28.36/28.80 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 28.36/28.80 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 28.36/28.80 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t89 @t1))))))))) % 28.36/28.80 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 28.36/28.80 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48)))) % 28.36/28.80 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 28.36/28.80 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 28.36/28.80 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 28.36/28.80 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t89 @t10) @t1))))))))))) % 28.36/28.80 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 28.36/28.80 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48)))) % 28.36/28.80 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t90)))) % 28.36/28.80 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 28.36/28.80 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t90)))) % 28.36/28.80 (assume @p62 (tptp.totalorderP tptp.nil)) % 28.36/28.80 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t90)))) % 28.36/28.80 (assume @p64 (tptp.strictorderP tptp.nil)) % 28.36/28.80 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t90)))) % 28.36/28.80 (assume @p66 (tptp.totalorderedP tptp.nil)) % 28.36/28.80 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t94) (or @t92 (and @t93 (tptp.totalorderedP @t1) (tptp.leq @t2 @t91))))))))) % 28.36/28.80 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t90)))) % 28.36/28.80 (assume @p69 (tptp.strictorderedP tptp.nil)) % 28.36/28.80 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t94) (or @t92 (and @t93 (tptp.strictorderedP @t1) (tptp.lt @t2 @t91))))))))) % 28.36/28.80 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t90)))) % 28.36/28.80 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 28.36/28.80 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t90)))) % 28.36/28.80 (assume @p74 (tptp.equalelemsP tptp.nil)) % 28.36/28.80 (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t49 @t1))))))) % 28.36/28.80 (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t21 (= @t55 @t1))))))) % 28.36/28.80 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t93 @t51 (= @t91 @t49) (= @t95 @t55)) @t46)))))) % 28.36/28.80 (assume @p78 @t99) % 28.36/28.80 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t60) @t100)))))))) % 28.36/28.80 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t65) @t100)))))))) % 28.36/28.80 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 28.36/28.80 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t60 @t12) (tptp.app @t2 @t19))))))))) % 28.36/28.80 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t60) (and @t92 @t48))))))) % 28.36/28.80 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 28.36/28.80 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.hd @t60) @t49))))))) % 28.36/28.80 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.tl @t60) (tptp.app @t55 @t1)))))))) % 28.36/28.80 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t68 (tptp.geq @t1 @t2)) @t3)))))) % 28.36/28.80 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t68 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 28.36/28.80 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 28.36/28.80 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 28.36/28.80 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t67 @t35) @t71)))))))) % 28.36/28.80 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t67 (or @t3 @t70))))))) % 28.36/28.80 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t70 (and @t4 @t67))))))) % 28.36/28.80 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t72 (not (tptp.gt @t1 @t2)))))))) % 28.36/28.80 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t72 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 28.36/28.80 (assume @p96 @t141) % 28.36/28.80 (assume @p97 true) % 28.36/28.80 (step @p98 :rule refl :args (@t144)) % 28.36/28.80 (step @p99 :rule refl :args (@t145)) % 28.36/28.80 (step @p100 :rule refl :args (@t146)) % 28.36/28.80 (step @p101 :rule refl :args (@t151)) % 28.36/28.80 (step @p102 :rule eq-symm :args (@t143 tptp.nil)) % 28.36/28.80 (step @p103 :rule refl :args (@t153)) % 28.36/28.80 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t154)) % 28.36/28.80 (step @p105 :rule refl :args (@t155)) % 28.36/28.80 (step @p106 :rule refl :args (@t156)) % 28.36/28.80 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p101 @p100 @p99 @p98) :args (@t157)) % 28.36/28.80 (step @p108 :rule aci_norm :args ((= @t159 @t157))) % 28.36/28.80 (step @p109 :rule trans :premises (@p108 @p107)) % 28.36/28.80 (step @p110 :rule cong :premises (@p109) :args (@t161)) % 28.36/28.80 (step @p111 :rule quant-merge-prenex :args ((= (forall @t9 @t163) @t161))) % 28.36/28.80 (step @p112 :rule alpha_equiv :args (@t164 (@list @t143 @t142) (@list @t1 @t165))) % 28.36/28.80 (step @p113 :rule refl :args (@t156)) % 28.36/28.80 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t166)) % 28.36/28.80 (step @p115 :rule quant-miniscope-or :args ((= @t163 @t166))) % 28.36/28.80 (step @p116 :rule trans :premises (@p115 @p114)) % 28.36/28.80 (step @p117 :rule symm :premises (@p116)) % 28.36/28.80 (step @p118 :rule cong :premises (@p117) :args ((forall @t9 @t184))) % 28.36/28.80 (step @p119 :rule trans :premises (@p118 @p111)) % 28.36/28.80 (step @p120 :rule trans :premises (@p119 @p110)) % 28.36/28.80 (step @p121 :rule aci_norm :args ((= (or @t156 @t184) @t184))) % 28.36/28.80 (step @p122 :rule bool-impl-elim :args (@t17 @t184)) % 28.36/28.80 (step @p123 :rule trans :premises (@p122 @p121)) % 28.36/28.80 (step @p124 :rule cong :premises (@p123) :args ((forall @t9 (=> @t17 @t184)))) % 28.36/28.80 (step @p125 :rule trans :premises (@p124 @p120)) % 28.36/28.80 (step @p126 :rule aci_norm :args ((= @t186 @t182))) % 28.36/28.80 (step @p127 :rule cong :premises (@p126) :args (@t187)) % 28.36/28.80 (step @p128 :rule quant-merge-prenex :args ((= (forall @t7 @t189) @t187))) % 28.36/28.80 (step @p129 :rule refl :args (@t178)) % 28.36/28.80 (step @p130 :rule refl :args (@t180)) % 28.36/28.80 (step @p131 :rule alpha_equiv :args (@t190 (@list @t165) (@list @t28))) % 28.36/28.80 (step @p132 :rule refl :args (@t181)) % 28.36/28.80 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130 @p129) :args (@t191)) % 28.36/28.80 (step @p134 :rule quant-miniscope-or :args ((= @t189 @t191))) % 28.36/28.80 (step @p135 :rule trans :premises (@p134 @p133)) % 28.36/28.80 (step @p136 :rule symm :premises (@p135)) % 28.36/28.80 (step @p137 :rule cong :premises (@p136) :args (@t193)) % 28.36/28.80 (step @p138 :rule trans :premises (@p137 @p128)) % 28.36/28.80 (step @p139 :rule trans :premises (@p138 @p127)) % 28.36/28.80 (step @p140 :rule nary_cong :premises (@p106 @p139) :args (@t194)) % 28.36/28.80 (step @p141 :rule quant-miniscope-or :args ((= (forall @t7 @t195) @t194))) % 28.36/28.80 (step @p142 :rule aci_norm :args ((= @t196 @t195))) % 28.36/28.80 (step @p143 :rule cong :premises (@p142) :args ((forall @t7 @t196))) % 28.36/28.80 (step @p144 :rule trans :premises (@p143 @p141)) % 28.36/28.80 (step @p145 :rule trans :premises (@p144 @p140)) % 28.36/28.80 (step @p146 :rule aci_norm :args ((= (or @t181 @t197) @t196))) % 28.36/28.80 (step @p147 :rule bool-impl-elim :args (@t21 @t197)) % 28.36/28.80 (step @p148 :rule trans :premises (@p147 @p146)) % 28.36/28.80 (step @p149 :rule cong :premises (@p148) :args ((forall @t7 (=> @t21 @t197)))) % 28.36/28.80 (step @p150 :rule trans :premises (@p149 @p145)) % 28.36/28.80 (step @p151 :rule aci_norm :args ((= (or @t129 @t181 @t198) @t197))) % 28.36/28.80 (step @p152 :rule aci_norm :args ((= (or @t156 false @t180 @t178) @t198))) % 28.36/28.80 (step @p153 :rule refl :args (@t178)) % 28.36/28.80 (step @p154 :rule refl :args (@t180)) % 28.36/28.80 (step @p155 :rule evaluate :args ((not true))) % 28.36/28.80 (step @p156 :rule eq-refl :args (@t2)) % 28.36/28.80 (step @p157 :rule cong :premises (@p156) :args (@t199)) % 28.36/28.80 (step @p158 :rule trans :premises (@p157 @p155)) % 28.36/28.80 (step @p159 :rule nary_cong :premises (@p106 @p158 @p154 @p153) :args (@t200)) % 28.36/28.80 (step @p160 :rule trans :premises (@p159 @p152)) % 28.36/28.80 (step @p161 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t100) @t204 @t130 @t203 @t201)) @t200))) % 28.36/28.80 (step @p162 :rule refl :args (@t201)) % 28.36/28.80 (step @p163 :rule refl :args (@t203)) % 28.36/28.80 (step @p164 :rule refl :args (@t130)) % 28.36/28.80 (step @p165 :rule refl :args (@t204)) % 28.36/28.80 (step @p166 :rule eq-symm :args (@t2 @t12)) % 28.36/28.80 (step @p167 :rule cong :premises (@p166) :args (@t130)) % 28.36/28.80 (step @p168 :rule nary_cong :premises (@p167 @p165 @p164 @p163 @p162) :args (@t205)) % 28.36/28.80 (step @p169 :rule aci_norm :args ((= @t206 @t205))) % 28.36/28.80 (step @p170 :rule trans :premises (@p169 @p168)) % 28.36/28.80 (step @p171 :rule cong :premises (@p170) :args (@t207)) % 28.36/28.80 (step @p172 :rule trans :premises (@p171 @p161)) % 28.36/28.80 (step @p173 :rule trans :premises (@p172 @p160)) % 28.36/28.80 (step @p174 :rule refl :args (@t181)) % 28.36/28.80 (step @p175 :rule refl :args (@t129)) % 28.36/28.80 (step @p176 :rule nary_cong :premises (@p175 @p174 @p173) :args (@t208)) % 28.36/28.80 (step @p177 :rule trans :premises (@p176 @p151)) % 28.36/28.80 (step @p178 :rule quant-miniscope-or :args ((= (forall @t16 @t209) @t208))) % 28.36/28.80 (step @p179 :rule aci_norm :args ((= @t210 @t209))) % 28.36/28.80 (step @p180 :rule cong :premises (@p179) :args ((forall @t16 @t210))) % 28.36/28.80 (step @p181 :rule trans :premises (@p180 @p178)) % 28.36/28.80 (step @p182 :rule trans :premises (@p181 @p177)) % 28.36/28.80 (step @p183 :rule aci_norm :args ((= (or @t204 @t211) @t210))) % 28.36/28.80 (step @p184 :rule bool-impl-elim :args (@t15 @t211)) % 28.36/28.80 (step @p185 :rule trans :premises (@p184 @p183)) % 28.36/28.80 (step @p186 :rule cong :premises (@p185) :args ((forall @t16 (=> @t15 @t211)))) % 28.36/28.80 (step @p187 :rule trans :premises (@p186 @p182)) % 28.36/28.80 (step @p188 :rule aci_norm :args ((= (or @t130 @t129 @t212) @t211))) % 28.36/28.80 (step @p189 :rule aci_norm :args ((= (or @t181 false @t203 @t201) @t212))) % 28.36/28.80 (step @p190 :rule refl :args (@t201)) % 28.36/28.80 (step @p191 :rule refl :args (@t203)) % 28.36/28.80 (step @p192 :rule eq-refl :args (@t1)) % 28.36/28.80 (step @p193 :rule cong :premises (@p192) :args (@t213)) % 28.36/28.80 (step @p194 :rule trans :premises (@p193 @p155)) % 28.36/28.80 (step @p195 :rule nary_cong :premises (@p174 @p194 @p191 @p190) :args (@t214)) % 28.36/28.80 (step @p196 :rule trans :premises (@p195 @p189)) % 28.36/28.80 (step @p197 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t132 @t131 @t224 @t223)) @t214))) % 28.36/28.80 (step @p198 :rule refl :args (@t223)) % 28.36/28.80 (step @p199 :rule refl :args (@t224)) % 28.36/28.80 (step @p200 :rule refl :args (@t131)) % 28.36/28.80 (step @p201 :rule refl :args (@t132)) % 28.36/28.80 (step @p202 :rule eq-symm :args (@t1 @t10)) % 28.36/28.80 (step @p203 :rule cong :premises (@p202) :args (@t131)) % 28.36/28.80 (step @p204 :rule nary_cong :premises (@p203 @p201 @p200 @p199 @p198) :args (@t225)) % 28.36/28.80 (step @p205 :rule aci_norm :args ((= @t226 @t225))) % 28.36/28.80 (step @p206 :rule trans :premises (@p205 @p204)) % 28.36/28.80 (step @p207 :rule cong :premises (@p206) :args (@t227)) % 28.36/28.80 (step @p208 :rule trans :premises (@p207 @p197)) % 28.36/28.80 (step @p209 :rule trans :premises (@p208 @p196)) % 28.36/28.80 (step @p210 :rule refl :args (@t130)) % 28.36/28.80 (step @p211 :rule nary_cong :premises (@p210 @p175 @p209) :args (@t228)) % 28.36/28.80 (step @p212 :rule trans :premises (@p211 @p188)) % 28.36/28.80 (step @p213 :rule quant-miniscope-or :args ((= (forall @t14 @t229) @t228))) % 28.36/28.80 (step @p214 :rule aci_norm :args ((= @t230 @t229))) % 28.36/28.80 (step @p215 :rule cong :premises (@p214) :args ((forall @t14 @t230))) % 28.36/28.80 (step @p216 :rule trans :premises (@p215 @p213)) % 28.36/28.80 (step @p217 :rule trans :premises (@p216 @p212)) % 28.36/28.80 (step @p218 :rule aci_norm :args ((= (and (and @t102 @t222 @t221 @t220 @t219 @t218) @t101) @t223))) % 28.36/28.80 (step @p219 :rule refl :args (@t101)) % 28.36/28.80 (step @p220 :rule refl :args (@t218)) % 28.36/28.80 (step @p221 :rule bool-double-not-elim :args (@t219)) % 28.36/28.80 (step @p222 :rule bool-double-not-elim :args (@t220)) % 28.36/28.80 (step @p223 :rule bool-double-not-elim :args (@t221)) % 28.36/28.80 (step @p224 :rule bool-double-not-elim :args (@t222)) % 28.36/28.80 (step @p225 :rule bool-double-not-elim :args (@t102)) % 28.36/28.80 (step @p226 :rule nary_cong :premises (@p225 @p224 @p223 @p222 @p221 @p220) :args (@t241)) % 28.36/28.80 (step @p227 :rule aci_norm :args ((= (and @t240 (and @t238 (and @t236 (and @t234 (and @t232 @t218))))) @t241))) % 28.36/28.80 (step @p228 :rule trans :premises (@p227 @p226)) % 28.36/28.80 (step @p229 :rule bool-or-de-morgan :args (@t231 @t217 false)) % 28.36/28.80 (step @p230 :rule refl :args (@t234)) % 28.36/28.80 (step @p231 :rule nary_cong :premises (@p230 @p229) :args ((and @t234 (not @t242)))) % 28.36/28.80 (step @p232 :rule bool-or-de-morgan :args (@t233 @t231 (or @t217))) % 28.36/28.80 (step @p233 :rule trans :premises (@p232 @p231)) % 28.36/28.80 (step @p234 :rule refl :args (@t236)) % 28.36/28.80 (step @p235 :rule nary_cong :premises (@p234 @p233) :args ((and @t236 (not (or @t233 @t231 @t217))))) % 28.36/28.80 (step @p236 :rule bool-or-de-morgan :args (@t235 @t233 (or @t231 @t217))) % 28.36/28.80 (step @p237 :rule trans :premises (@p236 @p235)) % 28.36/28.80 (step @p238 :rule refl :args (@t238)) % 28.36/28.80 (step @p239 :rule nary_cong :premises (@p238 @p237) :args ((and @t238 (not (or @t235 @t233 @t231 @t217))))) % 28.36/28.80 (step @p240 :rule bool-or-de-morgan :args (@t237 @t235 (or @t233 @t231 @t217))) % 28.36/28.80 (step @p241 :rule trans :premises (@p240 @p239)) % 28.36/28.80 (step @p242 :rule refl :args (@t240)) % 28.36/28.80 (step @p243 :rule nary_cong :premises (@p242 @p241) :args ((and @t240 (not (or @t237 @t235 @t233 @t231 @t217))))) % 28.36/28.80 (step @p244 :rule bool-or-de-morgan :args (@t239 @t237 (or @t235 @t233 @t231 @t217))) % 28.36/28.80 (step @p245 :rule trans :premises (@p244 @p243)) % 28.36/28.80 (step @p246 :rule trans :premises (@p245 @p228)) % 28.36/28.80 (step @p247 :rule nary_cong :premises (@p246 @p219) :args (@t244)) % 28.36/28.80 (step @p248 :rule trans :premises (@p247 @p218)) % 28.36/28.80 (step @p249 :rule refl :args (@t129)) % 28.36/28.80 (step @p250 :rule nary_cong :premises (@p201 @p200 @p164 @p249 @p199 @p248) :args (@t245)) % 28.36/28.80 (step @p251 :rule cong :premises (@p250) :args ((forall @t14 @t245))) % 28.36/28.80 (step @p252 :rule trans :premises (@p251 @p217)) % 28.36/28.80 (step @p253 :rule refl :args (@t101)) % 28.36/28.80 (step @p254 :rule aci_norm :args ((= (or @t239 @t237 @t235 @t233 @t242) @t243))) % 28.36/28.80 (step @p255 :rule aci_norm :args ((= (or @t231 @t217 false) @t242))) % 28.36/28.80 (step @p256 :rule eq-refl :args (@t216)) % 28.36/28.80 (step @p257 :rule cong :premises (@p256) :args (@t246)) % 28.36/28.80 (step @p258 :rule trans :premises (@p257 @p155)) % 28.36/28.80 (step @p259 :rule refl :args (@t217)) % 28.36/28.80 (step @p260 :rule refl :args (@t231)) % 28.36/28.80 (step @p261 :rule nary_cong :premises (@p260 @p259 @p258) :args (@t247)) % 28.36/28.80 (step @p262 :rule trans :premises (@p261 @p255)) % 28.36/28.80 (step @p263 :rule quant-var-elim-eq :args ((= (forall @t31 @t250) @t247))) % 28.36/28.80 (step @p264 :rule aci_norm :args ((= @t251 @t250))) % 28.36/28.80 (step @p265 :rule cong :premises (@p264) :args (@t252)) % 28.36/28.80 (step @p266 :rule trans :premises (@p265 @p263)) % 28.36/28.80 (step @p267 :rule trans :premises (@p266 @p262)) % 28.36/28.80 (step @p268 :rule refl :args (@t233)) % 28.36/28.80 (step @p269 :rule refl :args (@t235)) % 28.36/28.80 (step @p270 :rule refl :args (@t237)) % 28.36/28.80 (step @p271 :rule refl :args (@t239)) % 28.36/28.80 (step @p272 :rule nary_cong :premises (@p271 @p270 @p269 @p268 @p267) :args (@t253)) % 28.36/28.80 (step @p273 :rule trans :premises (@p272 @p254)) % 28.36/28.80 (step @p274 :rule quant-miniscope-or :args ((= (forall @t31 @t254) @t253))) % 28.36/28.80 (step @p275 :rule aci_norm :args ((= @t255 @t254))) % 28.36/28.80 (step @p276 :rule cong :premises (@p275) :args ((forall @t31 @t255))) % 28.36/28.80 (step @p277 :rule trans :premises (@p276 @p274)) % 28.36/28.80 (step @p278 :rule trans :premises (@p277 @p273)) % 28.36/28.80 (step @p279 :rule aci_norm :args ((= (or @t249 @t122 @t256) @t255))) % 28.36/28.80 (step @p280 :rule bool-double-not-elim :args (@t256)) % 28.36/28.80 (step @p281 :rule bool-double-not-elim :args (@t122)) % 28.36/28.80 (step @p282 :rule refl :args (@t249)) % 28.36/28.80 (step @p283 :rule nary_cong :premises (@p282 @p281 @p280) :args (@t260)) % 28.36/28.80 (step @p284 :rule aci_norm :args ((= (or @t249 (or @t259 @t258)) @t260))) % 28.36/28.80 (step @p285 :rule trans :premises (@p284 @p283)) % 28.36/28.80 (step @p286 :rule bool-and-de-morgan :args (@t123 @t257 true)) % 28.36/28.80 (step @p287 :rule nary_cong :premises (@p282 @p286) :args ((or @t249 (not (and @t123 @t257))))) % 28.36/28.80 (step @p288 :rule bool-and-de-morgan :args (@t30 @t123 (and @t257))) % 28.36/28.80 (step @p289 :rule trans :premises (@p288 @p287)) % 28.36/28.80 (step @p290 :rule trans :premises (@p289 @p285)) % 28.36/28.80 (step @p291 :rule trans :premises (@p290 @p279)) % 28.36/28.80 (step @p292 :rule cong :premises (@p291) :args (@t262)) % 28.36/28.80 (step @p293 :rule trans :premises (@p292 @p278)) % 28.36/28.80 (step @p294 :rule cong :premises (@p293) :args (@t263)) % 28.36/28.80 (step @p295 :rule exists-elim :args ((= (exists @t31 @t261) @t263))) % 28.36/28.80 (step @p296 :rule trans :premises (@p295 @p294)) % 28.36/28.80 (step @p297 :rule aci_norm :args ((= (or @t239 @t237 @t235 @t264) @t256))) % 28.36/28.80 (step @p298 :rule aci_norm :args ((= (or @t233 false @t248) @t264))) % 28.36/28.80 (step @p299 :rule refl :args (@t248)) % 28.36/28.80 (step @p300 :rule eq-refl :args (@t113)) % 28.36/28.80 (step @p301 :rule cong :premises (@p300) :args (@t265)) % 28.36/28.80 (step @p302 :rule trans :premises (@p301 @p155)) % 28.36/28.80 (step @p303 :rule nary_cong :premises (@p268 @p302 @p299) :args (@t266)) % 28.36/28.80 (step @p304 :rule trans :premises (@p303 @p298)) % 28.36/28.80 (step @p305 :rule quant-var-elim-eq :args ((= (forall @t120 @t271) @t266))) % 28.36/28.80 (step @p306 :rule aci_norm :args ((= @t272 @t271))) % 28.36/28.80 (step @p307 :rule cong :premises (@p306) :args (@t273)) % 28.36/28.80 (step @p308 :rule trans :premises (@p307 @p305)) % 28.36/28.80 (step @p309 :rule trans :premises (@p308 @p304)) % 28.36/28.80 (step @p310 :rule nary_cong :premises (@p271 @p270 @p269 @p309) :args (@t274)) % 28.36/28.80 (step @p311 :rule trans :premises (@p310 @p297)) % 28.36/28.80 (step @p312 :rule quant-miniscope-or :args ((= (forall @t120 @t275) @t274))) % 28.36/28.80 (step @p313 :rule aci_norm :args ((= @t276 @t275))) % 28.36/28.80 (step @p314 :rule cong :premises (@p313) :args ((forall @t120 @t276))) % 28.36/28.80 (step @p315 :rule trans :premises (@p314 @p312)) % 28.36/28.80 (step @p316 :rule trans :premises (@p315 @p311)) % 28.36/28.80 (step @p317 :rule aci_norm :args ((= (or @t270 @t277) @t276))) % 28.36/28.80 (step @p318 :rule bool-double-not-elim :args (@t277)) % 28.36/28.80 (step @p319 :rule refl :args (@t270)) % 28.36/28.80 (step @p320 :rule nary_cong :premises (@p319 @p318) :args ((or @t270 (not @t278)))) % 28.36/28.80 (step @p321 :rule bool-and-de-morgan :args (@t118 @t278 true)) % 28.36/28.80 (step @p322 :rule trans :premises (@p321 @p320)) % 28.36/28.80 (step @p323 :rule trans :premises (@p322 @p317)) % 28.36/28.80 (step @p324 :rule cong :premises (@p323) :args (@t280)) % 28.36/28.80 (step @p325 :rule trans :premises (@p324 @p316)) % 28.36/28.80 (step @p326 :rule cong :premises (@p325) :args (@t281)) % 28.36/28.80 (step @p327 :rule exists-elim :args ((= (exists @t120 @t279) @t281))) % 28.36/28.80 (step @p328 :rule trans :premises (@p327 @p326)) % 28.36/28.80 (step @p329 :rule aci_norm :args ((= (or @t269 @t239 @t237 @t282) @t277))) % 28.36/28.80 (step @p330 :rule aci_norm :args ((= (or @t235 @t267 false) @t282))) % 28.36/28.80 (step @p331 :rule eq-refl :args (@t215)) % 28.36/28.80 (step @p332 :rule cong :premises (@p331) :args (@t283)) % 28.36/28.80 (step @p333 :rule trans :premises (@p332 @p155)) % 28.36/28.80 (step @p334 :rule refl :args (@t267)) % 28.36/28.80 (step @p335 :rule nary_cong :premises (@p269 @p334 @p333) :args (@t284)) % 28.36/28.80 (step @p336 :rule trans :premises (@p335 @p330)) % 28.36/28.80 (step @p337 :rule quant-var-elim-eq :args ((= (forall @t116 @t289) @t284))) % 28.36/28.80 (step @p338 :rule aci_norm :args ((= @t290 @t289))) % 28.36/28.80 (step @p339 :rule cong :premises (@p338) :args (@t291)) % 28.36/28.80 (step @p340 :rule trans :premises (@p339 @p337)) % 28.36/28.80 (step @p341 :rule trans :premises (@p340 @p336)) % 28.36/28.80 (step @p342 :rule refl :args (@t269)) % 28.36/28.80 (step @p343 :rule nary_cong :premises (@p342 @p271 @p270 @p341) :args (@t292)) % 28.36/28.80 (step @p344 :rule trans :premises (@p343 @p329)) % 28.36/28.80 (step @p345 :rule quant-miniscope-or :args ((= (forall @t116 @t293) @t292))) % 28.36/28.80 (step @p346 :rule aci_norm :args ((= @t294 @t293))) % 28.36/28.80 (step @p347 :rule cong :premises (@p346) :args ((forall @t116 @t294))) % 28.36/28.80 (step @p348 :rule trans :premises (@p347 @p345)) % 28.36/28.80 (step @p349 :rule trans :premises (@p348 @p344)) % 28.36/28.80 (step @p350 :rule aci_norm :args ((= (or @t288 @t269 @t287 @t295 @t239) @t294))) % 28.36/28.80 (step @p351 :rule refl :args (@t239)) % 28.36/28.80 (step @p352 :rule bool-double-not-elim :args (@t295)) % 28.36/28.80 (step @p353 :rule refl :args (@t287)) % 28.36/28.80 (step @p354 :rule refl :args (@t269)) % 28.36/28.80 (step @p355 :rule refl :args (@t288)) % 28.36/28.80 (step @p356 :rule nary_cong :premises (@p355 @p354 @p353 @p352 @p351) :args (@t298)) % 28.36/28.80 (step @p357 :rule aci_norm :args ((= (or @t288 (or @t269 (or @t287 (or @t297 @t239)))) @t298))) % 28.36/28.80 (step @p358 :rule trans :premises (@p357 @p356)) % 28.36/28.80 (step @p359 :rule bool-and-de-morgan :args (@t296 @t102 true)) % 28.36/28.80 (step @p360 :rule nary_cong :premises (@p353 @p359) :args ((or @t287 (not (and @t296 @t102))))) % 28.36/28.80 (step @p361 :rule bool-and-de-morgan :args (@t286 @t296 (and @t102))) % 28.36/28.80 (step @p362 :rule trans :premises (@p361 @p360)) % 28.36/28.80 (step @p363 :rule nary_cong :premises (@p354 @p362) :args ((or @t269 (not (and @t286 @t296 @t102))))) % 28.36/28.80 (step @p364 :rule bool-and-de-morgan :args (@t268 @t286 (and @t296 @t102))) % 28.36/28.80 (step @p365 :rule trans :premises (@p364 @p363)) % 28.36/28.80 (step @p366 :rule nary_cong :premises (@p355 @p365) :args ((or @t288 (not 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@p802 :rule chain_m_resolution :premises (@p801 @p791) :args (@t503 @t377 (@list @t502))) % 28.36/28.80 (step @p803 :rule cnf_or_pos :args (@t503)) % 28.36/28.80 (step @p804 :rule reordering :premises (@p803) :args ((or @t346 @t341 @t500 (not @t503)))) % 28.36/28.80 (step @p805 :rule chain_m_resolution :premises (@p804 @p489 @p591 @p802) :args (@t500 @t384 (@list @t345 @t341 @t503))) % 28.36/28.80 (step @p806 :rule cnf_or_neg :args (@t348 6)) % 28.36/28.80 (step @p807 :rule chain_m_resolution :premises (@p806 @p482) :args (@t504 @t355 @t356)) % 28.36/28.80 (step @p808 :rule refl :args (@t505)) % 28.36/28.80 (step @p809 :rule refl :args (@t506)) % 28.36/28.80 (step @p810 :rule bool-double-not-elim :args (@t322)) % 28.36/28.80 (step @p811 :rule nary_cong :premises (@p810 @p809 @p808) :args ((or (not @t504) @t506 @t505))) % 28.36/28.80 (assume-push @p924 @t504) % 28.36/28.80 (assume-push @p925 @t500) % 28.36/28.80 (assume-push @p926 @t504) % 28.36/28.80 (assume-push @p927 @t500) % 28.36/28.80 (step @p816 :rule false_intro :premises (@p807)) % 28.36/28.80 (step @p571 :rule refl :args (@t320)) % 28.36/28.80 (step @p817 :rule symm :premises (@p925)) % 28.36/28.80 (step @p818 :rule cong :premises (@p817 @p571) :args (@t494)) % 28.36/28.80 (step @p819 :rule trans :premises (@p818 @p816)) % 28.36/28.80 (step @p820 :rule false_elim :premises (@p819)) % 28.36/28.80 (step-pop @p928 :rule scope :premises (@p820)) % 28.36/28.80 (step-pop @p929 :rule scope :premises (@p928)) % 28.36/28.80 (step @p821 :rule process_scope :premises (@p929) :args (@t505)) % 28.36/28.80 (step @p824 :rule and_intro :premises (@p807 @p925)) % 28.36/28.80 (step @p825 :rule modus_ponens :premises (@p824 @p821)) % 28.36/28.80 (step-pop @p930 :rule scope :premises (@p825)) % 28.36/28.80 (step-pop @p931 :rule scope :premises (@p930)) % 28.36/28.80 (step @p826 :rule process_scope :premises (@p931) :args (@t505)) % 28.36/28.80 (step @p829 :rule implies_elim :premises (@p826)) % 28.36/28.80 (step @p830 :rule cnf_and_neg :args (@t507)) % 28.36/28.80 (step @p831 :rule resolution :premises (@p830 @p829) :args (true @t507)) % 28.36/28.80 (step @p832 :rule eq_resolve :premises (@p831 @p811)) % 28.36/28.80 (step @p833 :rule chain_m_resolution :premises (@p832 @p807 @p805) :args (@t505 @t426 (@list @t322 @t500))) % 28.36/28.80 (step @p834 :rule cnf_equiv_pos2 :args (@t495)) % 28.36/28.80 (step @p835 :rule reordering :premises (@p834) :args ((or @t494 @t508 (not @t495)))) % 28.36/28.80 (step @p836 :rule chain_m_resolution :premises (@p835 @p833 @p775) :args (@t508 @t426 (@list @t494 @t495))) % 28.36/28.80 (step @p837 :rule cnf_or_neg :args (@t492 0)) % 28.36/28.80 (step @p838 :rule reordering :premises (@p837) :args ((or @t509 @t492))) % 28.36/28.80 (step @p839 :rule chain_m_resolution :premises (@p838 @p836) :args (@t509 @t355 @t510)) % 28.36/28.80 (step @p840 :rule cnf_or_pos :args (@t489)) % 28.36/28.80 (step @p841 :rule reordering :premises (@p840) :args ((or @t378 @t488 @t511))) % 28.36/28.80 (step @p842 :rule chain_m_resolution :premises (@p841 @p556 @p839) :args (@t511 @t383 (@list @t378 @t488))) % 28.36/28.80 (step @p843 :rule cnf_equiv_pos1 :args (@t490)) % 28.36/28.80 (step @p844 :rule reordering :premises (@p843) :args ((or @t512 @t489 (not @t490)))) % 28.36/28.80 (step @p845 :rule chain_m_resolution :premises (@p844 @p842 @p771) :args (@t512 @t426 (@list @t489 @t490))) % 28.36/28.80 (step @p846 :rule cnf_or_neg :args (@t492 1)) % 28.36/28.80 (step @p847 :rule reordering :premises (@p846) :args ((or @t513 @t492))) % 28.36/28.80 (step @p848 :rule chain_m_resolution :premises (@p847 @p836) :args (@t513 @t355 @t510)) % 28.36/28.80 (step @p849 :rule cnf_or_pos :args (@t457)) % 28.36/28.80 (step @p850 :rule reordering :premises (@p849) :args ((or @t456 @t455 @t514))) % 28.36/28.80 (step @p851 :rule chain_m_resolution :premises (@p850 @p848 @p845) :args (@t514 @t383 (@list @t456 @t455))) % 28.36/28.80 (step @p852 :rule cnf_equiv_pos1 :args (@t459)) % 28.36/28.80 (step @p853 :rule reordering :premises (@p852) :args ((or @t457 @t515 (not @t459)))) % 28.36/28.80 (step @p854 :rule chain_m_resolution :premises (@p853 @p851 @p728) :args (@t515 @t426 (@list @t457 @t459))) % 28.36/28.80 (assume-push @p932 @t333) % 28.36/28.80 (assume-push @p933 @t324) % 28.36/28.80 (assume-push @p934 @t324) % 28.36/28.80 (assume-push @p935 @t333) % 28.36/28.80 (step @p570 :rule true_intro :premises (@p562)) % 28.36/28.80 (step @p571 :rule refl :args (@t320)) % 28.36/28.80 (step @p859 :rule symm :premises (@p932)) % 28.36/28.80 (step @p860 :rule cong :premises (@p859 @p571) :args (@t458)) % 28.36/28.80 (step @p861 :rule trans :premises (@p860 @p570)) % 28.36/28.80 (step @p862 :rule true_elim :premises (@p861)) % 28.36/28.80 (step-pop @p936 :rule scope :premises (@p862)) % 28.36/28.80 (step-pop @p937 :rule scope :premises (@p936)) % 28.36/28.80 (step @p863 :rule process_scope :premises (@p937) :args (@t458)) % 28.36/28.80 (step @p866 :rule and_intro :premises (@p562 @p932)) % 28.36/28.80 (step @p867 :rule modus_ponens :premises (@p866 @p863)) % 28.36/28.80 (step-pop @p938 :rule scope :premises (@p867)) % 28.36/28.80 (step-pop @p939 :rule scope :premises (@p938)) % 28.36/28.80 (step @p868 :rule process_scope :premises (@p939) :args (@t458)) % 28.36/28.80 (step @p871 :rule implies_elim :premises (@p868)) % 28.36/28.80 (step @p872 :rule cnf_and_neg :args (@t516)) % 28.36/28.80 (step @p873 :rule resolution :premises (@p872 @p871) :args (true @t516)) % 28.36/28.80 (step @p874 :rule chain_m_resolution :premises (@p873 @p562 @p854) :args (@t334 @t381 (@list @t324 @t458))) % 28.36/28.80 (step @p875 :rule refl :args (@t517)) % 28.36/28.80 (step @p876 :rule bool-double-not-elim :args (@t333)) % 28.36/28.80 (step @p877 :rule refl :args (@t518)) % 28.36/28.80 (step @p878 :rule refl :args (@t407)) % 28.36/28.80 (step @p879 :rule refl :args (@t406)) % 28.36/28.80 (step @p880 :rule refl :args (@t402)) % 28.36/28.80 (step @p881 :rule refl :args (@t519)) % 28.36/28.80 (step @p882 :rule nary_cong :premises (@p464 @p881 @p880 @p879 @p878 @p877 @p876 @p875) :args ((or @t340 @t519 @t402 @t406 @t407 @t518 (not @t334) @t517))) % 28.36/28.80 (step @p883 :rule cnf_and_neg :args (@t340)) % 28.36/28.80 (step @p884 :rule eq_resolve :premises (@p883 @p882)) % 28.36/28.80 (step @p885 :rule reordering :premises (@p884) :args ((or @t333 @t340 @t519 @t402 @t406 @t407 @t518 @t517))) % 28.36/28.80 (step @p886 :rule chain_m_resolution :premises (@p885 @p874 @p685 @p683 @p645 @p648 @p594 @p651) :args (@t517 (@list true true false false false false false) (@list @t333 @t340 @t339 @t338 @t337 @t336 @t335))) % 28.36/28.80 (step @p887 :rule refl :args (@t328)) % 28.36/28.80 (step @p888 :rule refl :args (@t521)) % 28.36/28.80 (step @p889 :rule nary_cong :premises (@p888 @p887 @p676) :args ((or @t521 @t328 @t425))) % 28.36/28.80 (step @p890 :rule cnf_equiv_pos2 :args (@t520)) % 28.36/28.80 (step @p891 :rule eq_resolve :premises (@p890 @p889)) % 28.36/28.80 (step @p892 :rule reordering :premises (@p891) :args ((or @t341 @t328 @t521))) % 28.36/28.80 (step @p893 :rule chain_m_resolution :premises (@p892 @p591 @p886) :args (@t521 @t383 (@list @t341 @t328))) % 28.36/28.80 (step @p894 :rule cong :premises (@p531) :args (@t522)) % 28.36/28.80 (step @p895 :rule cong :premises (@p887 @p894) :args (@t523)) % 28.36/28.80 (step @p896 :rule refl :args (@t403)) % 28.36/28.80 (step @p897 :rule nary_cong :premises (@p469 @p896 @p895) :args (@t524)) % 28.36/28.80 (step @p898 :rule refl :args (@t525)) % 28.36/28.80 (step @p899 :rule cong :premises (@p898 @p897) :args ((=> @t525 @t524))) % 28.36/28.80 (assume-push @p940 @t525) % 28.36/28.80 (step @p901 :rule instantiate :premises (@p671) :args ((@list @t321 tptp.nil))) % 28.36/28.80 (step-pop @p941 :rule scope :premises (@p901)) % 28.36/28.80 (step @p902 :rule process_scope :premises (@p941) :args (@t524)) % 28.36/28.80 (step @p904 :rule eq_resolve :premises (@p902 @p899)) % 28.36/28.80 (step @p905 :rule implies_elim :premises (@p904)) % 28.36/28.80 (step @p906 :rule chain_m_resolution :premises (@p905 @p671) :args (@t526 @t377 (@list @t525))) % 28.36/28.80 (step @p907 :rule cnf_or_pos :args (@t526)) % 28.36/28.80 (step @p908 :rule reordering :premises (@p907) :args ((or @t403 @t346 @t520 (not @t526)))) % 28.36/28.80 (step @p909 false :rule chain_m_resolution :premises (@p908 @p906 @p893 @p489 @p17) :args (false (@list false true false false) (@list @t526 @t520 @t345 @t45))) % 28.36/28.80 ) % 28.36/28.80 % SZS output end Proof % 28.36/28.80 % cvc5 exiting %------------------------------------------------------------------------------