%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC379+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 : n003.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 08:59:05 AM UTC 2026 % Result : Theorem 0.51s 0.71s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC379+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:44:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.51/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.71 % SZS status Theorem % 0.51/0.71 % SZS output start Proof % 0.51/0.71 ( % 0.51/0.71 (declare-sort $$unsorted 0) % 0.51/0.71 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.51/0.71 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.51/0.71 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.71 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.71 (declare-const tptp.nil $$unsorted) % 0.51/0.71 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.51/0.71 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.51/0.71 (define @t1 () (@var "V" $$unsorted)) % 0.51/0.71 (define @t2 () (@var "U" $$unsorted)) % 0.51/0.71 (define @t3 () (= @t2 @t1)) % 0.51/0.71 (define @t4 () (not @t3)) % 0.51/0.71 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.51/0.71 (define @t6 () (tptp.ssItem @t1)) % 0.51/0.71 (define @t7 () (@list @t1)) % 0.51/0.71 (define @t8 () (tptp.ssItem @t2)) % 0.51/0.71 (define @t9 () (@list @t2)) % 0.51/0.71 (define @t10 () (@var "X" $$unsorted)) % 0.51/0.71 (define @t11 () (tptp.cons @t1 @t10)) % 0.51/0.71 (define @t12 () (@var "W" $$unsorted)) % 0.51/0.71 (define @t13 () (tptp.ssList @t10)) % 0.51/0.71 (define @t14 () (@list @t10)) % 0.51/0.71 (define @t15 () (tptp.ssList @t12)) % 0.51/0.71 (define @t16 () (@list @t12)) % 0.51/0.71 (define @t17 () (tptp.ssList @t2)) % 0.51/0.71 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.51/0.71 (define @t19 () (tptp.app @t1 @t12)) % 0.51/0.71 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.51/0.71 (define @t21 () (tptp.ssList @t1)) % 0.51/0.71 (define @t22 () (tptp.app @t12 @t1)) % 0.51/0.71 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.51/0.71 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.51/0.71 (define @t25 () (tptp.leq @t12 @t1)) % 0.51/0.71 (define @t26 () (tptp.leq @t1 @t12)) % 0.51/0.71 (define @t27 () (@var "Z" $$unsorted)) % 0.51/0.71 (define @t28 () (@var "Y" $$unsorted)) % 0.51/0.71 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.51/0.71 (define @t30 () (tptp.ssList @t27)) % 0.51/0.71 (define @t31 () (@list @t27)) % 0.51/0.71 (define @t32 () (tptp.ssList @t28)) % 0.51/0.71 (define @t33 () (@list @t28)) % 0.51/0.71 (define @t34 () (tptp.ssItem @t12)) % 0.51/0.71 (define @t35 () (tptp.lt @t1 @t12)) % 0.51/0.71 (define @t36 () (= @t1 @t12)) % 0.51/0.71 (define @t37 () (tptp.cons @t1 @t2)) % 0.51/0.71 (define @t38 () (= @t1 @t2)) % 0.51/0.71 (define @t39 () (tptp.cons @t12 @t1)) % 0.51/0.71 (define @t40 () (= tptp.nil @t2)) % 0.51/0.71 (define @t41 () (tptp.hd @t2)) % 0.51/0.71 (define @t42 () (not @t40)) % 0.51/0.71 (define @t43 () (tptp.tl @t2)) % 0.51/0.71 (define @t44 () (tptp.app @t2 @t1)) % 0.51/0.71 (define @t45 () (tptp.app @t1 @t2)) % 0.51/0.71 (define @t46 () (tptp.leq @t1 @t2)) % 0.51/0.71 (define @t47 () (tptp.leq @t2 @t1)) % 0.51/0.71 (define @t48 () (tptp.geq @t2 @t1)) % 0.51/0.71 (define @t49 () (tptp.lt @t1 @t2)) % 0.51/0.71 (define @t50 () (tptp.lt @t2 @t1)) % 0.51/0.71 (define @t51 () (tptp.lt @t2 @t12)) % 0.51/0.71 (define @t52 () (tptp.gt @t2 @t1)) % 0.51/0.71 (define @t53 () (tptp.memberP @t12 @t2)) % 0.51/0.71 (define @t54 () (tptp.app @t12 @t2)) % 0.51/0.71 (define @t55 () (tptp.cons @t2 tptp.nil)) % 0.51/0.71 (define @t56 () (tptp.hd @t1)) % 0.51/0.71 (define @t57 () (= tptp.nil @t1)) % 0.51/0.71 (define @t58 () (not @t57)) % 0.51/0.71 (define @t59 () (tptp.cons @t2 @t1)) % 0.51/0.71 (define @t60 () (= @t12 @t2)) % 0.51/0.71 (define @t61 () (@var "X1" $$unsorted)) % 0.51/0.71 (define @t62 () (tptp.memberP @t2 @t61)) % 0.51/0.71 (define @t63 () (tptp.memberP @t1 @t61)) % 0.51/0.71 (define @t64 () (@var "X2" $$unsorted)) % 0.51/0.71 (define @t65 () (= @t61 @t64)) % 0.51/0.71 (define @t66 () (tptp.leq @t64 @t61)) % 0.51/0.71 (define @t67 () (not @t66)) % 0.51/0.71 (define @t68 () (tptp.memberP @t1 @t64)) % 0.51/0.71 (define @t69 () (not @t68)) % 0.51/0.71 (define @t70 () (or @t69 @t67 @t65)) % 0.51/0.71 (define @t71 () (tptp.ssItem @t64)) % 0.51/0.71 (define @t72 () (@list @t64)) % 0.51/0.71 (define @t73 () (forall @t72 (=> @t71 @t70))) % 0.51/0.71 (define @t74 () (and @t73 @t63 @t62)) % 0.51/0.71 (define @t75 () (not @t65)) % 0.51/0.71 (define @t76 () (and @t71 @t75 @t68 @t66)) % 0.51/0.71 (define @t77 () (exists @t72 @t76)) % 0.51/0.71 (define @t78 () (not @t63)) % 0.51/0.71 (define @t79 () (or @t78 @t77)) % 0.51/0.71 (define @t80 () (not @t62)) % 0.51/0.71 (define @t81 () (and @t80 @t79)) % 0.51/0.71 (define @t82 () (or @t81 @t74)) % 0.51/0.71 (define @t83 () (tptp.ssItem @t61)) % 0.51/0.71 (define @t84 () (=> @t83 @t82)) % 0.51/0.71 (define @t85 () (@list @t61)) % 0.51/0.71 (define @t86 () (forall @t85 @t84)) % 0.51/0.71 (define @t87 () (tptp.leq @t27 @t28)) % 0.51/0.71 (define @t88 () (tptp.memberP @t10 @t27)) % 0.51/0.71 (define @t89 () (= @t28 @t27)) % 0.51/0.71 (define @t90 () (not @t89)) % 0.51/0.71 (define @t91 () (tptp.ssItem @t27)) % 0.51/0.71 (define @t92 () (and @t91 @t90 @t88 @t87)) % 0.51/0.71 (define @t93 () (exists @t31 @t92)) % 0.51/0.71 (define @t94 () (tptp.memberP @t10 @t28)) % 0.51/0.71 (define @t95 () (not @t94)) % 0.51/0.71 (define @t96 () (or @t95 @t93)) % 0.51/0.71 (define @t97 () (tptp.memberP @t12 @t28)) % 0.51/0.71 (define @t98 () (and @t97 @t96)) % 0.51/0.71 (define @t99 () (not @t87)) % 0.51/0.71 (define @t100 () (not @t88)) % 0.51/0.71 (define @t101 () (or @t100 @t99 @t89)) % 0.51/0.71 (define @t102 () (forall @t31 (=> @t91 @t101))) % 0.51/0.71 (define @t103 () (not @t97)) % 0.51/0.71 (define @t104 () (and @t103 @t102 @t94)) % 0.51/0.71 (define @t105 () (or @t104 @t98)) % 0.51/0.71 (define @t106 () (tptp.ssItem @t28)) % 0.51/0.71 (define @t107 () (and @t106 @t105)) % 0.51/0.71 (define @t108 () (exists @t33 @t107)) % 0.51/0.71 (define @t109 () (not (= @t2 @t12))) % 0.51/0.71 (define @t110 () (not (= @t1 @t10))) % 0.51/0.71 (define @t111 () (or @t110 @t109 @t108 @t86)) % 0.51/0.71 (define @t112 () (=> @t13 @t111)) % 0.51/0.71 (define @t113 () (forall @t14 @t112)) % 0.51/0.71 (define @t114 () (=> @t15 @t113)) % 0.51/0.71 (define @t115 () (forall @t16 @t114)) % 0.51/0.71 (define @t116 () (=> @t21 @t115)) % 0.51/0.71 (define @t117 () (forall @t7 @t116)) % 0.51/0.71 (define @t118 () (=> @t17 @t117)) % 0.51/0.71 (define @t119 () (forall @t9 @t118)) % 0.51/0.71 (define @t120 () (not @t119)) % 0.51/0.71 (define @t121 () (@var "BOUND_VARIABLE_11144" $$unsorted)) % 0.51/0.71 (define @t122 () (tptp.memberP @t2 @t121)) % 0.51/0.71 (define @t123 () (@var "BOUND_VARIABLE_11142" $$unsorted)) % 0.51/0.71 (define @t124 () (tptp.memberP @t123 @t121)) % 0.51/0.71 (define @t125 () (@var "BOUND_VARIABLE_11146" $$unsorted)) % 0.51/0.71 (define @t126 () (and (or (not (tptp.ssItem @t125)) (not (tptp.memberP @t123 @t125)) (not (tptp.leq @t125 @t121)) (= @t121 @t125)) @t124 @t122)) % 0.51/0.71 (define @t127 () (not @t71)) % 0.51/0.71 (define @t128 () (and (not @t122) (or (not @t124) (not (forall @t72 (or @t127 (= @t64 @t121) (not (tptp.memberP @t123 @t64)) (not (tptp.leq @t64 @t121)))))))) % 0.51/0.71 (define @t129 () (not (tptp.ssItem @t121))) % 0.51/0.71 (define @t130 () (@var "BOUND_VARIABLE_10990" $$unsorted)) % 0.51/0.71 (define @t131 () (not (tptp.leq @t130 @t28))) % 0.51/0.71 (define @t132 () (= @t28 @t130)) % 0.51/0.71 (define @t133 () (not (tptp.ssItem @t130))) % 0.51/0.71 (define @t134 () (tptp.memberP @t123 @t28)) % 0.51/0.71 (define @t135 () (tptp.memberP @t2 @t28)) % 0.51/0.71 (define @t136 () (not @t135)) % 0.51/0.71 (define @t137 () (not @t91)) % 0.51/0.71 (define @t138 () (not @t106)) % 0.51/0.71 (define @t139 () (@list @t28 @t130)) % 0.51/0.71 (define @t140 () (not (forall @t139 (or @t138 (and (or @t135 (not (forall @t31 (or @t137 (not (tptp.memberP @t123 @t27)) @t99 @t89))) (not @t134)) (or @t136 (and @t134 (or @t133 @t132 (not (tptp.memberP @t123 @t130)) @t131)))))))) % 0.51/0.71 (define @t141 () (not (tptp.ssList @t123))) % 0.51/0.71 (define @t142 () (not @t17)) % 0.51/0.71 (define @t143 () (or @t142 @t141 @t140 @t129 @t128 @t126)) % 0.51/0.71 (define @t144 () (or @t141 @t140 @t129 @t128 @t126)) % 0.51/0.71 (define @t145 () (or @t142 @t144)) % 0.51/0.71 (define @t146 () (@list @t2 @t123 @t121 @t125)) % 0.51/0.71 (define @t147 () (forall @t146 @t145)) % 0.51/0.71 (define @t148 () (@list @t123 @t121 @t125)) % 0.51/0.71 (define @t149 () (forall @t148 @t145)) % 0.51/0.71 (define @t150 () (forall @t148 @t144)) % 0.51/0.71 (define @t151 () (@var "BOUND_VARIABLE_11100" $$unsorted)) % 0.51/0.71 (define @t152 () (@var "BOUND_VARIABLE_11098" $$unsorted)) % 0.51/0.71 (define @t153 () (or @t142 @t150)) % 0.51/0.71 (define @t154 () (tptp.memberP @t2 @t152)) % 0.51/0.71 (define @t155 () (tptp.memberP @t1 @t152)) % 0.51/0.71 (define @t156 () (and (or (not (tptp.ssItem @t151)) (not (tptp.memberP @t1 @t151)) (not (tptp.leq @t151 @t152)) (= @t152 @t151)) @t155 @t154)) % 0.51/0.71 (define @t157 () (not (tptp.leq @t64 @t152))) % 0.51/0.71 (define @t158 () (not @t155)) % 0.51/0.71 (define @t159 () (not @t154)) % 0.51/0.71 (define @t160 () (not (tptp.ssItem @t152))) % 0.51/0.71 (define @t161 () (tptp.memberP @t1 @t28)) % 0.51/0.71 (define @t162 () (and @t161 (or @t133 @t132 (not (tptp.memberP @t1 @t130)) @t131))) % 0.51/0.71 (define @t163 () (not @t161)) % 0.51/0.71 (define @t164 () (not (forall @t31 (or @t137 (not (tptp.memberP @t1 @t27)) @t99 @t89)))) % 0.51/0.71 (define @t165 () (not (forall @t139 (or @t138 (and (or @t135 @t164 @t163) (or @t136 @t162)))))) % 0.51/0.71 (define @t166 () (not @t21)) % 0.51/0.71 (define @t167 () (@list @t1 @t152 @t151)) % 0.51/0.71 (define @t168 () (or @t142 (forall @t167 (or @t166 @t165 @t160 (and @t159 (or @t158 (not (forall @t72 (or @t127 (= @t64 @t152) @t69 @t157))))) @t156)))) % 0.51/0.71 (define @t169 () (or @t127 (= @t152 @t64) @t69 @t157)) % 0.51/0.71 (define @t170 () (forall @t72 @t169)) % 0.51/0.71 (define @t171 () (not @t170)) % 0.51/0.71 (define @t172 () (or @t158 @t171)) % 0.51/0.71 (define @t173 () (and @t159 @t172)) % 0.51/0.71 (define @t174 () (or @t166 @t165 @t160 @t173 @t156)) % 0.51/0.71 (define @t175 () (or @t160 @t173 @t156)) % 0.51/0.71 (define @t176 () (or @t166 @t175 @t165)) % 0.51/0.71 (define @t177 () (forall @t167 @t176)) % 0.51/0.71 (define @t178 () (@list @t152 @t151)) % 0.51/0.71 (define @t179 () (forall @t178 @t176)) % 0.51/0.71 (define @t180 () (forall @t178 @t175)) % 0.51/0.71 (define @t181 () (@var "BOUND_VARIABLE_11025" $$unsorted)) % 0.51/0.71 (define @t182 () (or @t166 @t180 @t165)) % 0.51/0.71 (define @t183 () (or (not (tptp.ssItem @t181)) (not (tptp.memberP @t1 @t181)) (not (tptp.leq @t181 @t61)) (= @t61 @t181))) % 0.51/0.71 (define @t184 () (and @t183 @t63 @t62)) % 0.51/0.71 (define @t185 () (and @t80 (or @t78 (not (forall @t72 (or @t127 @t65 @t69 @t67)))))) % 0.51/0.71 (define @t186 () (not @t83)) % 0.51/0.71 (define @t187 () (or @t186 @t185 @t184)) % 0.51/0.71 (define @t188 () (forall (@list @t61 @t181) @t187)) % 0.51/0.71 (define @t189 () (or @t166 @t188 @t165)) % 0.51/0.71 (define @t190 () (forall @t7 @t189)) % 0.51/0.71 (define @t191 () (or @t142 @t190)) % 0.51/0.71 (define @t192 () (or @t142 @t189)) % 0.51/0.71 (define @t193 () (or @t166 @t188 @t142 @t165)) % 0.51/0.71 (define @t194 () (or @t188 @t166 @t142 @t165)) % 0.51/0.71 (define @t195 () (or @t142 @t165)) % 0.51/0.71 (define @t196 () (not (= @t2 @t2))) % 0.51/0.71 (define @t197 () (or @t142 @t196 @t165)) % 0.51/0.71 (define @t198 () (not (forall @t139 (or @t138 (and (or @t97 @t164 @t163) (or @t103 @t162)))))) % 0.51/0.71 (define @t199 () (not @t15)) % 0.51/0.71 (define @t200 () (or @t109 @t199 @t109 @t198)) % 0.51/0.71 (define @t201 () (or @t199 @t109 @t198)) % 0.51/0.71 (define @t202 () (forall @t16 @t201)) % 0.51/0.71 (define @t203 () (or @t188 @t166 @t202)) % 0.51/0.71 (define @t204 () (or @t188 @t166 @t201)) % 0.51/0.71 (define @t205 () (or @t199 @t109 @t188 @t166 @t198)) % 0.51/0.71 (define @t206 () (or @t109 @t188 @t166 @t198)) % 0.51/0.71 (define @t207 () (or @t166 @t198)) % 0.51/0.71 (define @t208 () (not (= @t1 @t1))) % 0.51/0.71 (define @t209 () (or @t166 @t208 @t198)) % 0.51/0.71 (define @t210 () (or @t133 @t132 (not (tptp.memberP @t10 @t130)) @t131)) % 0.51/0.71 (define @t211 () (and @t94 @t210)) % 0.51/0.71 (define @t212 () (or @t103 @t211)) % 0.51/0.71 (define @t213 () (or @t137 @t100 @t99 @t89)) % 0.51/0.71 (define @t214 () (forall @t31 @t213)) % 0.51/0.71 (define @t215 () (not @t214)) % 0.51/0.71 (define @t216 () (or @t97 @t215 @t95)) % 0.51/0.71 (define @t217 () (and @t216 @t212)) % 0.51/0.71 (define @t218 () (or @t138 @t217)) % 0.51/0.71 (define @t219 () (forall @t139 @t218)) % 0.51/0.71 (define @t220 () (not @t219)) % 0.51/0.71 (define @t221 () (not @t13)) % 0.51/0.71 (define @t222 () (or @t110 @t221 @t110 @t220)) % 0.51/0.71 (define @t223 () (or @t221 @t110 @t220)) % 0.51/0.71 (define @t224 () (forall @t14 @t223)) % 0.51/0.71 (define @t225 () (or @t109 @t188 @t224)) % 0.51/0.71 (define @t226 () (or @t109 @t188 @t223)) % 0.51/0.71 (define @t227 () (or @t221 @t110 @t109 @t220 @t188)) % 0.51/0.71 (define @t228 () (or @t110 @t109 @t220 @t188)) % 0.51/0.71 (define @t229 () (@list @t181)) % 0.51/0.71 (define @t230 () (forall @t229 @t187)) % 0.51/0.71 (define @t231 () (forall @t229 @t62)) % 0.51/0.71 (define @t232 () (forall @t229 @t63)) % 0.51/0.71 (define @t233 () (forall @t229 @t183)) % 0.51/0.71 (define @t234 () (@list @t64)) % 0.51/0.71 (define @t235 () (and @t233 @t232 @t231)) % 0.51/0.71 (define @t236 () (forall @t229 @t184)) % 0.51/0.71 (define @t237 () (or @t186 @t185 @t236)) % 0.51/0.71 (define @t238 () (or @t127 @t69 @t67 @t65)) % 0.51/0.71 (define @t239 () (and (forall @t72 @t238) @t63 @t62)) % 0.51/0.71 (define @t240 () (or @t186 @t185 @t239)) % 0.51/0.71 (define @t241 () (or @t185 @t239)) % 0.51/0.71 (define @t242 () (not @t75)) % 0.51/0.71 (define @t243 () (or @t127 @t242 @t69 @t67)) % 0.51/0.71 (define @t244 () (forall @t72 (not @t76))) % 0.51/0.71 (define @t245 () (not @t244)) % 0.51/0.71 (define @t246 () (@list @t130)) % 0.51/0.71 (define @t247 () (forall @t246 @t218)) % 0.51/0.71 (define @t248 () (forall @t246 @t210)) % 0.51/0.71 (define @t249 () (@list @t27)) % 0.51/0.71 (define @t250 () (forall @t246 @t94)) % 0.51/0.71 (define @t251 () (and @t250 @t248)) % 0.51/0.71 (define @t252 () (forall @t246 @t211)) % 0.51/0.71 (define @t253 () (or @t103 @t252)) % 0.51/0.71 (define @t254 () (forall @t246 @t212)) % 0.51/0.71 (define @t255 () (forall @t246 @t216)) % 0.51/0.71 (define @t256 () (and @t255 @t254)) % 0.51/0.72 (define @t257 () (forall @t246 @t217)) % 0.51/0.72 (define @t258 () (or @t138 @t257)) % 0.51/0.72 (define @t259 () (forall @t31 (or @t137 @t89 @t100 @t99))) % 0.51/0.72 (define @t260 () (not @t259)) % 0.51/0.72 (define @t261 () (or @t95 @t260)) % 0.51/0.72 (define @t262 () (not @t103)) % 0.51/0.72 (define @t263 () (or @t262 @t215 @t95)) % 0.51/0.72 (define @t264 () (and @t97 @t261)) % 0.51/0.72 (define @t265 () (and @t103 @t214 @t94)) % 0.51/0.72 (define @t266 () (or @t265 @t264)) % 0.51/0.72 (define @t267 () (and @t106 @t266)) % 0.51/0.72 (define @t268 () (forall @t33 (not @t267))) % 0.51/0.72 (define @t269 () (not @t268)) % 0.51/0.72 (define @t270 () (not @t90)) % 0.51/0.72 (define @t271 () (or @t137 @t270 @t100 @t99)) % 0.51/0.72 (define @t272 () (forall @t31 (not @t92))) % 0.51/0.72 (define @t273 () (not @t272)) % 0.51/0.72 (define @t274 () (forall @t146 @t143)) % 0.51/0.72 (define @t275 () (@quantifiers_skolemize @t274 2)) % 0.51/0.72 (define @t276 () (@quantifiers_skolemize @t274 0)) % 0.51/0.72 (define @t277 () (tptp.memberP @t276 @t275)) % 0.51/0.72 (define @t278 () (@quantifiers_skolemize @t274 1)) % 0.51/0.72 (define @t279 () (tptp.memberP @t278 @t275)) % 0.51/0.72 (define @t280 () (@quantifiers_skolemize @t274 3)) % 0.51/0.72 (define @t281 () (= @t275 @t280)) % 0.51/0.72 (define @t282 () (tptp.leq @t280 @t275)) % 0.51/0.72 (define @t283 () (not @t282)) % 0.51/0.72 (define @t284 () (tptp.memberP @t278 @t280)) % 0.51/0.72 (define @t285 () (not @t284)) % 0.51/0.72 (define @t286 () (tptp.ssItem @t280)) % 0.51/0.72 (define @t287 () (not @t286)) % 0.51/0.72 (define @t288 () (or @t287 @t285 @t283 @t281)) % 0.51/0.72 (define @t289 () (and @t288 @t279 @t277)) % 0.51/0.72 (define @t290 () (forall @t72 (or @t127 (= @t64 @t275) (not (tptp.memberP @t278 @t64)) (not (tptp.leq @t64 @t275))))) % 0.51/0.72 (define @t291 () (not @t290)) % 0.51/0.72 (define @t292 () (not @t279)) % 0.51/0.72 (define @t293 () (or @t292 @t291)) % 0.51/0.72 (define @t294 () (not @t277)) % 0.51/0.72 (define @t295 () (and @t294 @t293)) % 0.51/0.72 (define @t296 () (tptp.ssItem @t275)) % 0.51/0.72 (define @t297 () (not @t296)) % 0.51/0.72 (define @t298 () (tptp.memberP @t278 @t28)) % 0.51/0.72 (define @t299 () (tptp.memberP @t276 @t28)) % 0.51/0.72 (define @t300 () (not (tptp.memberP @t278 @t27))) % 0.51/0.72 (define @t301 () (forall @t139 (or @t138 (and (or @t299 (not (forall @t31 (or @t137 @t300 @t99 @t89))) (not @t298)) (or (not @t299) (and @t298 (or @t133 @t132 (not (tptp.memberP @t278 @t130)) @t131))))))) % 0.51/0.72 (define @t302 () (not @t301)) % 0.51/0.72 (define @t303 () (or (not (tptp.ssList @t276)) (not (tptp.ssList @t278)) @t302 @t297 @t295 @t289)) % 0.51/0.72 (define @t304 () (@list true)) % 0.51/0.72 (define @t305 () (@list @t303)) % 0.51/0.72 (define @t306 () (or @t287 @t281 @t285 @t283)) % 0.51/0.72 (define @t307 () (and @t279 @t306)) % 0.51/0.72 (define @t308 () (or @t294 @t307)) % 0.51/0.72 (define @t309 () (not (tptp.leq @t27 @t275))) % 0.51/0.72 (define @t310 () (or @t137 @t300 @t309 (= @t275 @t27))) % 0.51/0.72 (define @t311 () (forall @t31 @t310)) % 0.51/0.72 (define @t312 () (not @t311)) % 0.51/0.72 (define @t313 () (or @t277 @t312 @t292)) % 0.51/0.72 (define @t314 () (and @t313 @t308)) % 0.51/0.72 (define @t315 () (or @t297 @t314)) % 0.51/0.72 (define @t316 () (= @t27 @t275)) % 0.51/0.72 (define @t317 () (or @t137 @t300 @t309 @t316)) % 0.51/0.72 (define @t318 () (forall @t31 @t317)) % 0.51/0.72 (define @t319 () (not @t318)) % 0.51/0.72 (define @t320 () (or @t277 @t319 @t292)) % 0.51/0.72 (define @t321 () (and @t320 @t308)) % 0.51/0.72 (define @t322 () (or @t297 @t321)) % 0.51/0.72 (define @t323 () (@list false)) % 0.51/0.72 (define @t324 () (@list false false)) % 0.51/0.72 (define @t325 () (not @t321)) % 0.51/0.72 (define @t326 () (@list @t321)) % 0.51/0.72 (define @t327 () (not @t293)) % 0.51/0.72 (define @t328 () (or @t137 @t316 @t300 @t309)) % 0.51/0.72 (define @t329 () (forall @t31 @t328)) % 0.51/0.72 (define @t330 () (not @t307)) % 0.51/0.72 (define @t331 () (@list @t307)) % 0.51/0.72 (define @t332 () (not @t288)) % 0.51/0.72 (define @t333 () (@list @t288)) % 0.51/0.72 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.51/0.72 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.51/0.72 (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))))))))))) % 0.51/0.72 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.51/0.72 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.51/0.72 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.51/0.72 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.51/0.72 (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))))))))))))))))) % 0.51/0.72 (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)))))))))))))))) % 0.51/0.72 (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))))))))))))))))) % 0.51/0.72 (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))))))))))))))) % 0.51/0.72 (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))))))))))))))) % 0.51/0.72 (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)))))))))))))))) % 0.51/0.72 (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))))))))))))) % 0.51/0.72 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.51/0.72 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.51/0.72 (assume @p17 (tptp.ssList tptp.nil)) % 0.51/0.72 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.51/0.72 (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))))))))))) % 0.51/0.72 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.51/0.72 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.51/0.72 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.51/0.72 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.51/0.72 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.51/0.72 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.51/0.72 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.51/0.72 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.51/0.72 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.51/0.72 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.51/0.72 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.51/0.72 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.51/0.72 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.51/0.72 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.51/0.72 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.51/0.72 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 0.51/0.72 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 0.51/0.72 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 0.51/0.72 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.51/0.72 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.51/0.72 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.51/0.72 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.51/0.72 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.51/0.72 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.51/0.72 (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)))))))))))) % 0.51/0.72 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.51/0.72 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 0.51/0.72 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.51/0.72 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.51/0.72 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.51/0.72 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1))))))))) % 0.51/0.72 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.51/0.72 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 0.51/0.72 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.51/0.72 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.51/0.72 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.51/0.72 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1))))))))))) % 0.51/0.72 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.51/0.72 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 0.51/0.72 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t55)))) % 0.51/0.72 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.51/0.72 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t55)))) % 0.51/0.72 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.51/0.72 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t55)))) % 0.51/0.72 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.51/0.72 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t55)))) % 0.51/0.72 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.51/0.72 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t59) (or @t57 (and @t58 (tptp.totalorderedP @t1) (tptp.leq @t2 @t56))))))))) % 0.51/0.72 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t55)))) % 0.51/0.72 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.51/0.72 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t59) (or @t57 (and @t58 (tptp.strictorderedP @t1) (tptp.lt @t2 @t56))))))))) % 0.51/0.72 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t55)))) % 0.51/0.72 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.51/0.72 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t55)))) % 0.51/0.72 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.51/0.72 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 0.51/0.72 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 0.51/0.72 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t58 @t42 (= @t56 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 0.51/0.72 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 0.51/0.72 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t60)))))))) % 0.51/0.72 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t60)))))))) % 0.51/0.72 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.51/0.72 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 0.51/0.72 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t57 @t40))))))) % 0.51/0.72 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.51/0.72 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= 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@t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.51/0.72 (assume @p96 @t120) % 0.51/0.72 (assume @p97 true) % 0.51/0.72 (step @p98 :rule aci_norm :args ((= @t145 @t143))) % 0.51/0.72 (step @p99 :rule cong :premises (@p98) :args (@t147)) % 0.51/0.72 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t149) @t147))) % 0.51/0.72 (step @p101 :rule alpha_equiv :args (@t150 (@list @t123 @t121 @t125) (@list @t1 @t152 @t151))) % 0.51/0.72 (step @p102 :rule refl :args (@t142)) % 0.51/0.72 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t153)) % 0.51/0.72 (step @p104 :rule quant-miniscope-or :args ((= @t149 @t153))) % 0.51/0.72 (step @p105 :rule trans :premises (@p104 @p103)) % 0.51/0.72 (step @p106 :rule symm :premises (@p105)) % 0.51/0.72 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 @t168))) % 0.51/0.72 (step @p108 :rule trans :premises (@p107 @p100)) % 0.51/0.72 (step @p109 :rule trans :premises 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@t12)) % 0.51/0.72 (step @p170 :rule cong :premises (@p169) :args (@t109)) % 0.51/0.72 (step @p171 :rule nary_cong :premises (@p170 @p168 @p167 @p166) :args (@t200)) % 0.51/0.72 (step @p172 :rule aci_norm :args ((= @t201 @t200))) % 0.51/0.72 (step @p173 :rule trans :premises (@p172 @p171)) % 0.51/0.72 (step @p174 :rule cong :premises (@p173) :args (@t202)) % 0.51/0.72 (step @p175 :rule trans :premises (@p174 @p165)) % 0.51/0.72 (step @p176 :rule trans :premises (@p175 @p164)) % 0.51/0.72 (step @p177 :rule refl :args (@t188)) % 0.51/0.72 (step @p178 :rule nary_cong :premises (@p177 @p129 @p176) :args (@t203)) % 0.51/0.72 (step @p179 :rule trans :premises (@p178 @p157)) % 0.51/0.72 (step @p180 :rule quant-miniscope-or :args ((= (forall @t16 @t204) @t203))) % 0.51/0.72 (step @p181 :rule aci_norm :args ((= @t205 @t204))) % 0.51/0.72 (step @p182 :rule cong :premises (@p181) :args ((forall @t16 @t205))) % 0.51/0.72 (step @p183 :rule trans :premises (@p182 @p180)) % 0.51/0.72 (step @p184 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(or (not (= @t10 @t1)) @t221 @t110 @t220)) @t209))) % 0.51/0.72 (step @p199 :rule refl :args (@t220)) % 0.51/0.72 (step @p200 :rule refl :args (@t110)) % 0.51/0.72 (step @p201 :rule refl :args (@t221)) % 0.51/0.72 (step @p202 :rule eq-symm :args (@t1 @t10)) % 0.51/0.72 (step @p203 :rule cong :premises (@p202) :args (@t110)) % 0.51/0.72 (step @p204 :rule nary_cong :premises (@p203 @p201 @p200 @p199) :args (@t222)) % 0.51/0.72 (step @p205 :rule aci_norm :args ((= @t223 @t222))) % 0.51/0.72 (step @p206 :rule trans :premises (@p205 @p204)) % 0.51/0.72 (step @p207 :rule cong :premises (@p206) :args (@t224)) % 0.51/0.72 (step @p208 :rule trans :premises (@p207 @p198)) % 0.51/0.72 (step @p209 :rule trans :premises (@p208 @p197)) % 0.51/0.72 (step @p210 :rule refl :args (@t109)) % 0.51/0.72 (step @p211 :rule nary_cong :premises (@p210 @p177 @p209) :args (@t225)) % 0.51/0.72 (step @p212 :rule trans :premises (@p211 @p190)) % 0.51/0.72 (step @p213 :rule quant-miniscope-or :args ((= (forall @t14 @t226) @t225))) % 0.51/0.72 (step @p214 :rule aci_norm :args ((= @t227 @t226))) % 0.51/0.72 (step @p215 :rule cong :premises (@p214) :args ((forall @t14 @t227))) % 0.51/0.72 (step @p216 :rule trans :premises (@p215 @p213)) % 0.51/0.72 (step @p217 :rule trans :premises (@p216 @p212)) % 0.51/0.72 (step @p218 :rule aci_norm :args ((= (or @t221 @t228) @t227))) % 0.51/0.72 (step @p219 :rule bool-impl-elim :args (@t13 @t228)) % 0.51/0.72 (step @p220 :rule trans :premises (@p219 @p218)) % 0.51/0.72 (step @p221 :rule cong :premises (@p220) :args ((forall @t14 (=> @t13 @t228)))) % 0.51/0.72 (step @p222 :rule trans :premises (@p221 @p217)) % 0.51/0.72 (step @p223 :rule quant-merge-prenex :args ((= (forall @t85 @t230) @t188))) % 0.51/0.72 (step @p224 :rule quant-unused-vars :args ((= @t231 @t62))) % 0.51/0.72 (step @p225 :rule quant-unused-vars :args ((= @t232 @t63))) % 0.51/0.72 (step @p226 :rule alpha_equiv :args (@t233 (@list @t181) @t234)) % 0.51/0.72 (step @p227 :rule nary_cong :premises 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% 0.51/0.72 (step @p443 :rule nary_cong :premises (@p442 @p441) :args ((or @t293 (not @t292)))) % 0.51/0.72 (step @p444 :rule cnf_or_neg :args (@t293 0)) % 0.51/0.72 (step @p445 :rule eq_resolve :premises (@p444 @p443)) % 0.51/0.72 (step @p446 :rule reordering :premises (@p445) :args ((or @t279 @t293))) % 0.51/0.72 (step @p447 :rule bool-double-not-elim :args (@t290)) % 0.51/0.72 (step @p448 :rule nary_cong :premises (@p442 @p447) :args ((or @t293 (not @t291)))) % 0.51/0.72 (step @p449 :rule cnf_or_neg :args (@t293 1)) % 0.51/0.72 (step @p450 :rule eq_resolve :premises (@p449 @p448)) % 0.51/0.72 (step @p451 :rule reordering :premises (@p450) :args ((or @t290 @t293))) % 0.51/0.72 (step @p452 :rule cnf_and_pos :args (@t321 0)) % 0.51/0.72 (step @p453 :rule reordering :premises (@p452) :args ((or @t320 @t325))) % 0.51/0.72 (step @p454 :rule chain_m_resolution :premises (@p453 @p428) :args (@t320 @t323 @t326)) % 0.51/0.72 (step @p455 :rule cnf_or_pos :args (@t320)) % 0.51/0.72 (step @p456 :rule reordering :premises (@p455) :args ((or @t277 @t292 @t319 (not @t320)))) % 0.51/0.72 (step @p457 :rule aci_norm :args ((= @t317 @t328))) % 0.51/0.72 (step @p458 :rule cong :premises (@p457) :args (@t318)) % 0.51/0.72 (step @p459 :rule symm :premises (@p458)) % 0.51/0.72 (step @p460 :rule true_intro :premises (@p459)) % 0.51/0.72 (step @p461 :rule eq-symm :args (@t318 @t329)) % 0.51/0.72 (step @p462 :rule trans :premises (@p461 @p460)) % 0.51/0.72 (step @p463 :rule cong :premises (@p459 @p458) :args ((= @t329 @t318))) % 0.51/0.72 (step @p464 :rule trans :premises (@p463 @p462)) % 0.51/0.72 (step @p465 :rule true_elim :premises (@p464)) % 0.51/0.72 (step @p466 :rule alpha_equiv :args (@t290 @t234 @t249)) % 0.51/0.72 (step @p467 :rule trans :premises (@p466 @p465)) % 0.51/0.72 (step @p468 :rule equiv_elim1 :premises (@p467)) % 0.51/0.72 (step @p469 :rule chain_m_resolution :premises (@p468 @p456 @p454 @p451 @p446 @p440 @p433) :args (@t277 (@list true false false false true true) (@list @t318 @t320 @t290 @t279 @t293 @t295))) % 0.51/0.72 (step @p470 :rule cnf_or_pos :args (@t308)) % 0.51/0.72 (step @p471 :rule reordering :premises (@p470) :args ((or @t294 @t307 (not @t308)))) % 0.51/0.72 (step @p472 :rule chain_m_resolution :premises (@p471 @p469 @p431) :args (@t307 @t324 (@list @t277 @t308))) % 0.51/0.72 (step @p473 :rule cnf_and_pos :args (@t307 0)) % 0.51/0.72 (step @p474 :rule reordering :premises (@p473) :args ((or @t279 @t330))) % 0.51/0.72 (step @p475 :rule chain_m_resolution :premises (@p474 @p472) :args (@t279 @t323 @t331)) % 0.51/0.72 (step @p476 :rule cnf_and_neg :args (@t289)) % 0.51/0.72 (step @p477 :rule reordering :premises (@p476) :args ((or @t294 @t292 @t289 @t332))) % 0.51/0.72 (step @p478 :rule chain_m_resolution :premises (@p477 @p469 @p475 @p389) :args (@t332 (@list false false true) (@list @t277 @t279 @t289))) % 0.51/0.72 (step @p479 :rule bool-double-not-elim :args (@t286)) % 0.51/0.72 (step @p480 :rule refl :args (@t288)) % 0.51/0.72 (step @p481 :rule nary_cong :premises (@p480 @p479) :args ((or @t288 (not @t287)))) % 0.51/0.72 (step @p482 :rule cnf_or_neg :args (@t288 0)) % 0.51/0.72 (step @p483 :rule eq_resolve :premises (@p482 @p481)) % 0.51/0.72 (step @p484 :rule reordering :premises (@p483) :args ((or @t286 @t288))) % 0.51/0.72 (step @p485 :rule chain_m_resolution :premises (@p484 @p478) :args (@t286 @t304 @t333)) % 0.51/0.72 (step @p486 :rule bool-double-not-elim :args (@t284)) % 0.51/0.72 (step @p487 :rule nary_cong :premises (@p480 @p486) :args ((or @t288 (not @t285)))) % 0.51/0.72 (step @p488 :rule cnf_or_neg :args (@t288 1)) % 0.51/0.72 (step @p489 :rule eq_resolve :premises (@p488 @p487)) % 0.51/0.72 (step @p490 :rule reordering :premises (@p489) :args ((or @t284 @t288))) % 0.51/0.72 (step @p491 :rule chain_m_resolution :premises (@p490 @p478) :args (@t284 @t304 @t333)) % 0.51/0.72 (step @p492 :rule cnf_and_pos :args (@t307 1)) % 0.51/0.72 (step @p493 :rule reordering :premises (@p492) :args ((or @t306 @t330))) % 0.51/0.72 (step @p494 :rule chain_m_resolution :premises (@p493 @p472) :args (@t306 @t323 @t331)) % 0.51/0.72 (step @p495 :rule bool-double-not-elim :args (@t282)) % 0.51/0.72 (step @p496 :rule nary_cong :premises (@p480 @p495) :args ((or @t288 (not @t283)))) % 0.51/0.72 (step @p497 :rule cnf_or_neg :args (@t288 2)) % 0.51/0.72 (step @p498 :rule eq_resolve :premises (@p497 @p496)) % 0.51/0.72 (step @p499 :rule reordering :premises (@p498) :args ((or @t282 @t288))) % 0.51/0.72 (step @p500 :rule chain_m_resolution :premises (@p499 @p478) :args (@t282 @t304 @t333)) % 0.51/0.72 (step @p501 :rule cnf_or_neg :args (@t288 3)) % 0.51/0.72 (step @p502 :rule chain_m_resolution :premises (@p501 @p478) :args ((not @t281) @t304 @t333)) % 0.51/0.72 (step @p503 :rule cnf_or_pos :args (@t306)) % 0.51/0.72 (step @p504 :rule reordering :premises (@p503) :args ((or @t287 @t285 @t283 @t281 (not @t306)))) % 0.51/0.72 (step @p505 false :rule chain_m_resolution :premises (@p504 @p502 @p500 @p494 @p491 @p485) :args (false (@list true false false false false) (@list @t281 @t282 @t306 @t284 @t286))) % 0.51/0.72 ) % 0.51/0.72 % SZS output end Proof % 0.51/0.72 % cvc5 exiting %------------------------------------------------------------------------------