%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC333+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:54 AM UTC 2026 % Result : Theorem 0.44s 0.70s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC333+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n004.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:41:37 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.70 % SZS status Theorem % 0.44/0.70 % SZS output start Proof % 0.44/0.70 ( % 0.44/0.70 (declare-sort $$unsorted 0) % 0.44/0.70 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.44/0.70 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.44/0.70 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.44/0.70 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.44/0.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.44/0.70 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.44/0.70 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.44/0.70 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.44/0.70 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.44/0.70 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.44/0.70 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.44/0.70 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.70 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.70 (declare-const tptp.nil $$unsorted) % 0.44/0.70 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.44/0.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.44/0.70 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.44/0.70 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.44/0.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.44/0.70 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.44/0.70 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.44/0.70 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.44/0.70 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.44/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.44/0.70 (define @t1 () (@var "V" $$unsorted)) % 0.44/0.70 (define @t2 () (@var "U" $$unsorted)) % 0.44/0.70 (define @t3 () (= @t2 @t1)) % 0.44/0.70 (define @t4 () (not @t3)) % 0.44/0.70 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.44/0.70 (define @t6 () (tptp.ssItem @t1)) % 0.44/0.70 (define @t7 () (@list @t1)) % 0.44/0.70 (define @t8 () (tptp.ssItem @t2)) % 0.44/0.70 (define @t9 () (@list @t2)) % 0.44/0.70 (define @t10 () (@var "X" $$unsorted)) % 0.44/0.70 (define @t11 () (tptp.cons @t1 @t10)) % 0.44/0.70 (define @t12 () (@var "W" $$unsorted)) % 0.44/0.70 (define @t13 () (tptp.ssList @t10)) % 0.44/0.70 (define @t14 () (@list @t10)) % 0.44/0.70 (define @t15 () (tptp.ssList @t12)) % 0.44/0.70 (define @t16 () (@list @t12)) % 0.44/0.70 (define @t17 () (tptp.ssList @t2)) % 0.44/0.70 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.44/0.70 (define @t19 () (tptp.app @t1 @t12)) % 0.44/0.70 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.44/0.70 (define @t21 () (tptp.ssList @t1)) % 0.44/0.70 (define @t22 () (tptp.app @t12 @t1)) % 0.44/0.70 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.44/0.70 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.44/0.70 (define @t25 () (tptp.leq @t12 @t1)) % 0.44/0.70 (define @t26 () (tptp.leq @t1 @t12)) % 0.44/0.70 (define @t27 () (@var "Z" $$unsorted)) % 0.44/0.70 (define @t28 () (@var "Y" $$unsorted)) % 0.44/0.70 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.44/0.70 (define @t30 () (tptp.ssList @t27)) % 0.44/0.70 (define @t31 () (@list @t27)) % 0.44/0.70 (define @t32 () (tptp.ssList @t28)) % 0.44/0.70 (define @t33 () (@list @t28)) % 0.44/0.70 (define @t34 () (tptp.ssItem @t12)) % 0.44/0.70 (define @t35 () (tptp.lt @t1 @t12)) % 0.44/0.70 (define @t36 () (tptp.totalorderedP @t2)) % 0.44/0.70 (define @t37 () (= @t1 @t12)) % 0.44/0.70 (define @t38 () (tptp.cons @t1 @t2)) % 0.44/0.70 (define @t39 () (= @t1 @t2)) % 0.44/0.70 (define @t40 () (tptp.cons @t12 @t1)) % 0.44/0.70 (define @t41 () (= tptp.nil @t2)) % 0.44/0.70 (define @t42 () (tptp.hd @t2)) % 0.44/0.70 (define @t43 () (not @t41)) % 0.44/0.70 (define @t44 () (tptp.tl @t2)) % 0.44/0.70 (define @t45 () (tptp.app @t2 @t1)) % 0.44/0.70 (define @t46 () (tptp.app @t1 @t2)) % 0.44/0.70 (define @t47 () (tptp.leq @t1 @t2)) % 0.44/0.70 (define @t48 () (tptp.leq @t2 @t1)) % 0.44/0.70 (define @t49 () (tptp.geq @t2 @t1)) % 0.44/0.70 (define @t50 () (tptp.lt @t1 @t2)) % 0.44/0.70 (define @t51 () (tptp.lt @t2 @t1)) % 0.44/0.70 (define @t52 () (tptp.lt @t2 @t12)) % 0.44/0.70 (define @t53 () (tptp.gt @t2 @t1)) % 0.44/0.70 (define @t54 () (tptp.memberP @t12 @t2)) % 0.44/0.70 (define @t55 () (tptp.app @t12 @t2)) % 0.44/0.70 (define @t56 () (tptp.segmentP @t1 @t12)) % 0.44/0.70 (define @t57 () (tptp.segmentP @t1 @t2)) % 0.44/0.70 (define @t58 () (tptp.cons @t2 tptp.nil)) % 0.44/0.70 (define @t59 () (tptp.hd @t1)) % 0.44/0.70 (define @t60 () (= tptp.nil @t1)) % 0.44/0.70 (define @t61 () (not @t60)) % 0.44/0.70 (define @t62 () (tptp.cons @t2 @t1)) % 0.44/0.70 (define @t63 () (= @t12 @t2)) % 0.44/0.70 (define @t64 () (not (tptp.totalorderedP @t27))) % 0.44/0.70 (define @t65 () (not (tptp.segmentP @t27 @t2))) % 0.44/0.70 (define @t66 () (not (tptp.segmentP @t1 @t27))) % 0.44/0.70 (define @t67 () (not (tptp.neq @t2 @t27))) % 0.44/0.70 (define @t68 () (or @t67 @t66 @t65 @t64)) % 0.44/0.70 (define @t69 () (forall @t31 (=> @t30 @t68))) % 0.44/0.70 (define @t70 () (and @t69 @t57 @t36)) % 0.44/0.70 (define @t71 () (tptp.totalorderedP @t28)) % 0.44/0.70 (define @t72 () (tptp.segmentP @t28 @t12)) % 0.44/0.70 (define @t73 () (tptp.segmentP @t10 @t28)) % 0.44/0.70 (define @t74 () (tptp.neq @t12 @t28)) % 0.44/0.70 (define @t75 () (and @t32 @t74 @t73 @t72 @t71)) % 0.44/0.70 (define @t76 () (exists @t33 @t75)) % 0.44/0.70 (define @t77 () (not (tptp.totalorderedP @t12))) % 0.44/0.70 (define @t78 () (not (tptp.segmentP @t10 @t12))) % 0.44/0.70 (define @t79 () (not (= @t2 @t12))) % 0.44/0.70 (define @t80 () (not (= @t1 @t10))) % 0.44/0.70 (define @t81 () (or @t80 @t79 @t78 @t77 @t76 @t70)) % 0.44/0.70 (define @t82 () (=> @t13 @t81)) % 0.44/0.70 (define @t83 () (forall @t14 @t82)) % 0.44/0.70 (define @t84 () (=> @t15 @t83)) % 0.44/0.70 (define @t85 () (forall @t16 @t84)) % 0.44/0.70 (define @t86 () (=> @t21 @t85)) % 0.44/0.70 (define @t87 () (forall @t7 @t86)) % 0.44/0.70 (define @t88 () (=> @t17 @t87)) % 0.44/0.70 (define @t89 () (forall @t9 @t88)) % 0.44/0.70 (define @t90 () (not @t89)) % 0.44/0.70 (define @t91 () (not @t71)) % 0.44/0.70 (define @t92 () (not (tptp.segmentP @t28 @t2))) % 0.44/0.70 (define @t93 () (@var "BOUND_VARIABLE_11013" $$unsorted)) % 0.44/0.70 (define @t94 () (not (tptp.neq @t2 @t28))) % 0.44/0.70 (define @t95 () (not @t32)) % 0.44/0.70 (define @t96 () (not (forall @t33 (or @t95 @t94 (not (tptp.segmentP @t93 @t28)) @t92 @t91)))) % 0.44/0.70 (define @t97 () (tptp.segmentP @t93 @t2)) % 0.44/0.70 (define @t98 () (not @t97)) % 0.44/0.70 (define @t99 () (@var "BOUND_VARIABLE_11015" $$unsorted)) % 0.44/0.70 (define @t100 () (and (or (not (tptp.ssList @t99)) (not (tptp.neq @t2 @t99)) (not (tptp.segmentP @t93 @t99)) (not (tptp.segmentP @t99 @t2)) (not (tptp.totalorderedP @t99))) @t97 @t36)) % 0.44/0.70 (define @t101 () (not (tptp.ssList @t93))) % 0.44/0.70 (define @t102 () (not @t36)) % 0.44/0.70 (define @t103 () (not @t17)) % 0.44/0.70 (define @t104 () (or @t103 @t102 @t101 @t100 @t98 @t96)) % 0.44/0.70 (define @t105 () (or @t101 @t100 @t98 @t96)) % 0.44/0.70 (define @t106 () (or @t103 @t102 @t105)) % 0.44/0.70 (define @t107 () (@list @t2 @t93 @t99)) % 0.44/0.70 (define @t108 () (forall @t107 @t106)) % 0.44/0.70 (define @t109 () (@list @t93 @t99)) % 0.44/0.70 (define @t110 () (forall @t109 @t106)) % 0.44/0.70 (define @t111 () (forall @t109 @t105)) % 0.44/0.70 (define @t112 () (@var "BOUND_VARIABLE_10992" $$unsorted)) % 0.44/0.70 (define @t113 () (or @t103 @t102 @t111)) % 0.44/0.70 (define @t114 () (not (tptp.segmentP @t1 @t28))) % 0.44/0.70 (define @t115 () (not (forall @t33 (or @t95 @t94 @t114 @t92 @t91)))) % 0.44/0.70 (define @t116 () (not @t57)) % 0.44/0.70 (define @t117 () (or (not (tptp.ssList @t112)) (not (tptp.neq @t2 @t112)) (not (tptp.segmentP @t1 @t112)) (not (tptp.segmentP @t112 @t2)) (not (tptp.totalorderedP @t112)))) % 0.44/0.70 (define @t118 () (and @t117 @t57 @t36)) % 0.44/0.70 (define @t119 () (not @t21)) % 0.44/0.70 (define @t120 () (or @t119 @t118 @t116 @t115)) % 0.44/0.70 (define @t121 () (forall (@list @t1 @t112) @t120)) % 0.44/0.70 (define @t122 () (or @t103 @t102 @t121)) % 0.44/0.70 (define @t123 () (@list @t112)) % 0.44/0.70 (define @t124 () (forall @t123 @t120)) % 0.44/0.70 (define @t125 () (forall @t123 @t36)) % 0.44/0.70 (define @t126 () (forall @t123 @t57)) % 0.44/0.70 (define @t127 () (forall @t123 @t117)) % 0.44/0.70 (define @t128 () (and @t127 @t126 @t125)) % 0.44/0.70 (define @t129 () (forall @t123 @t118)) % 0.44/0.70 (define @t130 () (or @t119 @t129 @t116 @t115)) % 0.44/0.70 (define @t131 () (not @t30)) % 0.44/0.70 (define @t132 () (or @t131 @t67 @t66 @t65 @t64)) % 0.44/0.70 (define @t133 () (and (forall @t31 @t132) @t57 @t36)) % 0.44/0.70 (define @t134 () (or @t119 @t133 @t116 @t115)) % 0.44/0.70 (define @t135 () (forall @t7 @t134)) % 0.44/0.70 (define @t136 () (or @t103 @t102 @t135)) % 0.44/0.70 (define @t137 () (or @t103 @t102 @t134)) % 0.44/0.70 (define @t138 () (or @t119 @t133 @t103 @t102 @t116 @t115)) % 0.44/0.70 (define @t139 () (or @t133 @t119 @t103 @t102 @t116 @t115)) % 0.44/0.70 (define @t140 () (or @t103 @t102 @t116 @t115)) % 0.44/0.70 (define @t141 () (not (= @t2 @t2))) % 0.44/0.70 (define @t142 () (or @t103 @t141 @t102 @t116 @t115)) % 0.44/0.70 (define @t143 () (not @t72)) % 0.44/0.70 (define @t144 () (not @t74)) % 0.44/0.70 (define @t145 () (not (forall @t33 (or @t95 @t144 @t114 @t143 @t91)))) % 0.44/0.70 (define @t146 () (not @t56)) % 0.44/0.70 (define @t147 () (not @t15)) % 0.44/0.70 (define @t148 () (or @t79 @t147 @t79 @t77 @t146 @t145)) % 0.44/0.70 (define @t149 () (or @t147 @t79 @t77 @t146 @t145)) % 0.44/0.70 (define @t150 () (forall @t16 @t149)) % 0.44/0.70 (define @t151 () (or @t133 @t119 @t150)) % 0.44/0.70 (define @t152 () (or @t133 @t119 @t149)) % 0.44/0.70 (define @t153 () (or @t147 @t79 @t77 @t133 @t119 @t146 @t145)) % 0.44/0.70 (define @t154 () (or @t79 @t77 @t133 @t119 @t146 @t145)) % 0.44/0.70 (define @t155 () (or @t119 @t146 @t145)) % 0.44/0.70 (define @t156 () (not (= @t1 @t1))) % 0.44/0.70 (define @t157 () (or @t119 @t156 @t146 @t145)) % 0.44/0.70 (define @t158 () (not @t73)) % 0.44/0.70 (define @t159 () (or @t95 @t144 @t158 @t143 @t91)) % 0.44/0.70 (define @t160 () (not (forall @t33 @t159))) % 0.44/0.70 (define @t161 () (not @t13)) % 0.44/0.70 (define @t162 () (or @t80 @t161 @t80 @t78 @t160)) % 0.44/0.70 (define @t163 () (or @t161 @t80 @t78 @t160)) % 0.44/0.70 (define @t164 () (forall @t14 @t163)) % 0.44/0.70 (define @t165 () (or @t79 @t77 @t133 @t164)) % 0.44/0.70 (define @t166 () (or @t79 @t77 @t133 @t163)) % 0.44/0.70 (define @t167 () (or @t161 @t80 @t79 @t78 @t77 @t160 @t133)) % 0.44/0.70 (define @t168 () (or @t80 @t79 @t78 @t77 @t160 @t133)) % 0.44/0.70 (define @t169 () (forall @t33 (not @t75))) % 0.44/0.70 (define @t170 () (not @t169)) % 0.44/0.70 (define @t171 () (forall @t107 @t104)) % 0.44/0.70 (define @t172 () (@quantifiers_skolemize @t171 0)) % 0.44/0.70 (define @t173 () (@quantifiers_skolemize @t171 1)) % 0.44/0.70 (define @t174 () (forall @t33 (or @t95 (not (tptp.neq @t172 @t28)) (not (tptp.segmentP @t173 @t28)) (not (tptp.segmentP @t28 @t172)) @t91))) % 0.44/0.70 (define @t175 () (not @t174)) % 0.44/0.70 (define @t176 () (tptp.segmentP @t173 @t172)) % 0.44/0.70 (define @t177 () (not @t176)) % 0.44/0.70 (define @t178 () (tptp.totalorderedP @t172)) % 0.44/0.70 (define @t179 () (@quantifiers_skolemize @t171 2)) % 0.44/0.70 (define @t180 () (or (not (tptp.ssList @t179)) (not (tptp.neq @t172 @t179)) (not (tptp.segmentP @t173 @t179)) (not (tptp.segmentP @t179 @t172)) (not (tptp.totalorderedP @t179)))) % 0.44/0.70 (define @t181 () (and @t180 @t176 @t178)) % 0.44/0.70 (define @t182 () (not @t178)) % 0.44/0.70 (define @t183 () (or (not (tptp.ssList @t172)) @t182 (not (tptp.ssList @t173)) @t181 @t177 @t175)) % 0.44/0.70 (define @t184 () (@list true)) % 0.44/0.70 (define @t185 () (@list @t183)) % 0.44/0.70 (define @t186 () (not @t180)) % 0.44/0.70 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.44/0.70 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.44/0.70 (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))))))))))) % 0.44/0.70 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.44/0.70 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.44/0.70 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.44/0.70 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.44/0.70 (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))))))))))))))))) % 0.44/0.70 (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)))))))))))))))) % 0.44/0.70 (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))))))))))))))))) % 0.44/0.70 (assume @p11 (forall @t9 (=> @t17 (= @t36 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.44/0.70 (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))))))))))))))) % 0.44/0.70 (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 @t37)))))))))))))))) % 0.44/0.70 (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) @t37))))))))))))) % 0.44/0.70 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.44/0.70 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t38)))))) % 0.44/0.70 (assume @p17 (tptp.ssList tptp.nil)) % 0.44/0.70 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t38 @t2))))))) % 0.44/0.70 (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) @t39))))))))))) % 0.44/0.70 (assume @p20 (forall @t9 (=> @t17 (or @t41 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t40 @t2))))))))) % 0.44/0.70 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t38))))))) % 0.44/0.70 (assume @p22 (forall @t9 (=> @t17 (=> @t43 (tptp.ssItem @t42))))) % 0.44/0.70 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t38) @t1)))))) % 0.44/0.70 (assume @p24 (forall @t9 (=> @t17 (=> @t43 (tptp.ssList @t44))))) % 0.44/0.70 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t38) @t2)))))) % 0.44/0.70 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t45)))))) % 0.44/0.70 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t46) (tptp.app @t40 @t2))))))))) % 0.44/0.70 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.44/0.70 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 @t47) @t3)))))) % 0.44/0.70 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t26) (tptp.leq @t2 @t12))))))))) % 0.44/0.70 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.44/0.70 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t49 @t47)))))) % 0.44/0.70 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (not @t50))))))) % 0.44/0.70 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t52)))))))) % 0.44/0.70 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t50)))))) % 0.44/0.70 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t54))))))))) % 0.44/0.70 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t54))))))))) % 0.44/0.70 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.44/0.70 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.44/0.70 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.44/0.70 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.44/0.70 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.44/0.70 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.44/0.70 (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)))))))))))) % 0.44/0.70 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.44/0.70 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t41)))) % 0.44/0.70 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.44/0.70 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.44/0.70 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.44/0.70 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t55 @t1))))))))) % 0.44/0.70 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.44/0.70 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t41)))) % 0.44/0.70 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 @t56) (tptp.segmentP @t2 @t12))))))))) % 0.44/0.70 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 @t57) @t3)))))) % 0.44/0.70 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.44/0.70 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t55 @t10) @t1))))))))))) % 0.44/0.70 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.44/0.70 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t41)))) % 0.44/0.70 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t58)))) % 0.44/0.70 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.44/0.70 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t58)))) % 0.44/0.70 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.44/0.70 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t58)))) % 0.44/0.70 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.44/0.70 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t58)))) % 0.44/0.70 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.44/0.70 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t62) (or @t60 (and @t61 (tptp.totalorderedP @t1) (tptp.leq @t2 @t59))))))))) % 0.44/0.70 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t58)))) % 0.44/0.70 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.44/0.70 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t62) (or @t60 (and @t61 (tptp.strictorderedP @t1) (tptp.lt @t2 @t59))))))))) % 0.44/0.70 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t58)))) % 0.44/0.70 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.44/0.70 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t58)))) % 0.44/0.70 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.44/0.70 (assume @p75 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t6 (= @t42 @t1))))))) % 0.44/0.70 (assume @p76 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t21 (= @t44 @t1))))))) % 0.44/0.70 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t61 @t43 (= @t59 @t42) (= (tptp.tl @t1) @t44)) @t39)))))) % 0.44/0.70 (assume @p78 (forall @t9 (=> @t17 (=> @t43 (= (tptp.cons @t42 @t44) @t2))))) % 0.44/0.70 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t45) @t63)))))))) % 0.44/0.70 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t46) @t63)))))))) % 0.44/0.70 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t38 (tptp.app @t18 @t2))))))) % 0.44/0.70 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t45 @t12) (tptp.app @t2 @t19))))))))) % 0.44/0.70 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t45) (and @t60 @t41))))))) % 0.44/0.70 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.44/0.70 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.hd @t45) @t42))))))) % 0.44/0.70 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.tl @t45) (tptp.app @t44 @t1)))))))) % 0.44/0.70 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t49 (tptp.geq @t1 @t2)) @t3)))))) % 0.44/0.70 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t49 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.44/0.70 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.44/0.70 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.44/0.70 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 @t35) @t52)))))))) % 0.44/0.70 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t48 (or @t3 @t51))))))) % 0.44/0.70 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t51 (and @t4 @t48))))))) % 0.44/0.70 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t53 (not (tptp.gt @t1 @t2)))))))) % 0.44/0.70 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.44/0.70 (assume @p96 @t90) % 0.44/0.70 (assume @p97 true) % 0.44/0.70 (step @p98 :rule aci_norm :args ((= @t106 @t104))) % 0.44/0.70 (step @p99 :rule cong :premises (@p98) :args (@t108)) % 0.44/0.70 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t110) @t108))) % 0.44/0.70 (step @p101 :rule alpha_equiv :args (@t111 (@list @t93 @t99) (@list @t1 @t112))) % 0.44/0.70 (step @p102 :rule refl :args (@t102)) % 0.44/0.70 (step @p103 :rule refl :args (@t103)) % 0.44/0.70 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args (@t113)) % 0.44/0.70 (step @p105 :rule quant-miniscope-or :args ((= @t110 @t113))) % 0.44/0.70 (step @p106 :rule trans :premises (@p105 @p104)) % 0.44/0.70 (step @p107 :rule symm :premises (@p106)) % 0.44/0.70 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 @t122))) % 0.44/0.70 (step @p109 :rule trans :premises (@p108 @p100)) % 0.44/0.70 (step @p110 :rule trans :premises (@p109 @p99)) % 0.44/0.70 (step @p111 :rule aci_norm :args ((= (or @t103 @t122) @t122))) % 0.44/0.70 (step @p112 :rule bool-impl-elim :args (@t17 @t122)) % 0.44/0.70 (step @p113 :rule trans :premises (@p112 @p111)) % 0.44/0.70 (step @p114 :rule cong :premises (@p113) :args ((forall @t9 (=> @t17 @t122)))) % 0.44/0.70 (step @p115 :rule trans :premises (@p114 @p110)) % 0.44/0.70 (step @p116 :rule quant-merge-prenex :args ((= (forall @t7 @t124) @t121))) % 0.44/0.70 (step @p117 :rule refl :args (@t115)) % 0.44/0.70 (step @p118 :rule refl :args (@t116)) % 0.44/0.70 (step @p119 :rule quant-unused-vars :args ((= @t125 @t36))) % 0.44/0.70 (step @p120 :rule quant-unused-vars :args ((= @t126 @t57))) % 0.44/0.70 (step @p121 :rule alpha_equiv :args (@t127 (@list @t112) (@list @t27))) % 0.44/0.70 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t128)) % 0.44/0.70 (step @p123 :rule quant-miniscope-and :args ((= @t129 @t128))) % 0.44/0.70 (step @p124 :rule trans :premises (@p123 @p122)) % 0.44/0.70 (step @p125 :rule refl :args (@t119)) % 0.44/0.70 (step @p126 :rule nary_cong :premises (@p125 @p124 @p118 @p117) :args (@t130)) % 0.44/0.70 (step @p127 :rule quant-miniscope-or :args ((= @t124 @t130))) % 0.44/0.70 (step @p128 :rule trans :premises (@p127 @p126)) % 0.44/0.70 (step @p129 :rule symm :premises (@p128)) % 0.44/0.70 (step @p130 :rule cong :premises (@p129) :args (@t135)) % 0.44/0.70 (step @p131 :rule trans :premises (@p130 @p116)) % 0.44/0.70 (step @p132 :rule refl :args (@t102)) % 0.44/0.70 (step @p133 :rule refl :args (@t103)) % 0.44/0.70 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131) :args (@t136)) % 0.44/0.70 (step @p135 :rule quant-miniscope-or :args ((= (forall @t7 @t137) @t136))) % 0.44/0.70 (step @p136 :rule aci_norm :args ((= @t138 @t137))) % 0.44/0.70 (step @p137 :rule cong :premises (@p136) :args ((forall @t7 @t138))) % 0.44/0.70 (step @p138 :rule trans :premises (@p137 @p135)) % 0.44/0.70 (step @p139 :rule trans :premises (@p138 @p134)) % 0.44/0.70 (step @p140 :rule aci_norm :args ((= (or @t119 @t139) @t138))) % 0.44/0.70 (step @p141 :rule bool-impl-elim :args (@t21 @t139)) % 0.44/0.70 (step @p142 :rule trans :premises (@p141 @p140)) % 0.44/0.70 (step @p143 :rule cong :premises (@p142) :args ((forall @t7 (=> @t21 @t139)))) % 0.44/0.70 (step @p144 :rule trans :premises (@p143 @p139)) % 0.44/0.70 (step @p145 :rule aci_norm :args ((= (or @t133 @t119 @t140) @t139))) % 0.44/0.70 (step @p146 :rule aci_norm :args ((= (or @t103 false @t102 @t116 @t115) @t140))) % 0.44/0.70 (step @p147 :rule refl :args (@t115)) % 0.44/0.70 (step @p148 :rule refl :args (@t116)) % 0.44/0.70 (step @p149 :rule evaluate :args ((not true))) % 0.44/0.70 (step @p150 :rule eq-refl :args (@t2)) % 0.44/0.70 (step @p151 :rule cong :premises (@p150) :args (@t141)) % 0.44/0.70 (step @p152 :rule trans :premises (@p151 @p149)) % 0.44/0.70 (step @p153 :rule nary_cong :premises (@p133 @p152 @p132 @p148 @p147) :args (@t142)) % 0.44/0.70 (step @p154 :rule trans :premises (@p153 @p146)) % 0.44/0.70 (step @p155 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t63) @t147 @t79 @t77 @t146 @t145)) @t142))) % 0.44/0.70 (step @p156 :rule refl :args (@t145)) % 0.44/0.70 (step @p157 :rule refl :args (@t146)) % 0.44/0.70 (step @p158 :rule refl :args (@t77)) % 0.44/0.70 (step @p159 :rule refl :args (@t79)) % 0.44/0.70 (step @p160 :rule refl :args (@t147)) % 0.44/0.70 (step @p161 :rule eq-symm :args (@t2 @t12)) % 0.44/0.70 (step @p162 :rule cong :premises (@p161) :args (@t79)) % 0.44/0.70 (step @p163 :rule nary_cong :premises (@p162 @p160 @p159 @p158 @p157 @p156) :args (@t148)) % 0.44/0.70 (step @p164 :rule aci_norm :args ((= @t149 @t148))) % 0.44/0.70 (step @p165 :rule trans :premises (@p164 @p163)) % 0.44/0.70 (step @p166 :rule cong :premises (@p165) :args (@t150)) % 0.44/0.70 (step @p167 :rule trans :premises (@p166 @p155)) % 0.44/0.70 (step @p168 :rule trans :premises (@p167 @p154)) % 0.44/0.70 (step @p169 :rule refl :args (@t119)) % 0.44/0.70 (step @p170 :rule refl :args (@t133)) % 0.44/0.70 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168) :args (@t151)) % 0.44/0.70 (step @p172 :rule trans :premises (@p171 @p145)) % 0.44/0.70 (step @p173 :rule quant-miniscope-or :args ((= (forall @t16 @t152) @t151))) % 0.44/0.70 (step @p174 :rule aci_norm :args ((= @t153 @t152))) % 0.44/0.70 (step @p175 :rule cong :premises (@p174) :args ((forall @t16 @t153))) % 0.44/0.70 (step @p176 :rule trans :premises (@p175 @p173)) % 0.44/0.70 (step @p177 :rule trans :premises (@p176 @p172)) % 0.44/0.70 (step @p178 :rule aci_norm :args ((= (or @t147 @t154) @t153))) % 0.44/0.70 (step @p179 :rule bool-impl-elim :args (@t15 @t154)) % 0.44/0.70 (step @p180 :rule trans :premises (@p179 @p178)) % 0.44/0.70 (step @p181 :rule cong :premises (@p180) :args ((forall @t16 (=> @t15 @t154)))) % 0.44/0.70 (step @p182 :rule trans :premises (@p181 @p177)) % 0.44/0.70 (step @p183 :rule aci_norm :args ((= (or @t79 @t77 @t133 @t155) @t154))) % 0.44/0.70 (step @p184 :rule aci_norm :args ((= (or @t119 false @t146 @t145) @t155))) % 0.44/0.70 (step @p185 :rule refl :args (@t145)) % 0.44/0.70 (step @p186 :rule refl :args (@t146)) % 0.44/0.70 (step @p187 :rule eq-refl :args (@t1)) % 0.44/0.70 (step @p188 :rule cong :premises (@p187) :args (@t156)) % 0.44/0.70 (step @p189 :rule trans :premises (@p188 @p149)) % 0.44/0.70 (step @p190 :rule nary_cong :premises (@p169 @p189 @p186 @p185) :args (@t157)) % 0.44/0.70 (step @p191 :rule trans :premises (@p190 @p184)) % 0.44/0.70 (step @p192 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t161 @t80 @t78 @t160)) @t157))) % 0.44/0.70 (step @p193 :rule refl :args (@t160)) % 0.44/0.70 (step @p194 :rule refl :args (@t78)) % 0.44/0.70 (step @p195 :rule refl :args (@t80)) % 0.44/0.70 (step @p196 :rule refl :args (@t161)) % 0.44/0.70 (step @p197 :rule eq-symm :args (@t1 @t10)) % 0.44/0.70 (step @p198 :rule cong :premises (@p197) :args (@t80)) % 0.44/0.70 (step @p199 :rule nary_cong :premises (@p198 @p196 @p195 @p194 @p193) :args (@t162)) % 0.44/0.70 (step @p200 :rule aci_norm :args ((= @t163 @t162))) % 0.44/0.70 (step @p201 :rule trans :premises (@p200 @p199)) % 0.44/0.70 (step @p202 :rule cong :premises (@p201) :args (@t164)) % 0.44/0.70 (step @p203 :rule trans :premises (@p202 @p192)) % 0.44/0.70 (step @p204 :rule trans :premises (@p203 @p191)) % 0.44/0.70 (step @p205 :rule refl :args (@t77)) % 0.44/0.70 (step @p206 :rule refl :args (@t79)) % 0.44/0.70 (step @p207 :rule nary_cong :premises (@p206 @p205 @p170 @p204) :args (@t165)) % 0.44/0.70 (step @p208 :rule trans :premises (@p207 @p183)) % 0.44/0.70 (step @p209 :rule quant-miniscope-or :args ((= (forall @t14 @t166) @t165))) % 0.44/0.70 (step @p210 :rule aci_norm :args ((= @t167 @t166))) % 0.44/0.70 (step @p211 :rule cong :premises (@p210) :args ((forall @t14 @t167))) % 0.44/0.70 (step @p212 :rule trans :premises (@p211 @p209)) % 0.44/0.70 (step @p213 :rule trans :premises (@p212 @p208)) % 0.44/0.70 (step @p214 :rule aci_norm :args ((= (or @t161 @t168) @t167))) % 0.44/0.70 (step @p215 :rule bool-impl-elim :args (@t13 @t168)) % 0.44/0.70 (step @p216 :rule trans :premises (@p215 @p214)) % 0.44/0.70 (step @p217 :rule cong :premises (@p216) :args ((forall @t14 (=> @t13 @t168)))) % 0.44/0.70 (step @p218 :rule trans :premises (@p217 @p213)) % 0.44/0.70 (step @p219 :rule refl :args (@t36)) % 0.44/0.70 (step @p220 :rule refl :args (@t57)) % 0.44/0.70 (step @p221 :rule aci_norm :args ((= (or @t131 @t68) @t132))) % 0.44/0.70 (step @p222 :rule bool-impl-elim :args (@t30 @t68)) % 0.44/0.70 (step @p223 :rule trans :premises (@p222 @p221)) % 0.44/0.70 (step @p224 :rule cong :premises (@p223) :args (@t69)) % 0.44/0.70 (step @p225 :rule nary_cong :premises (@p224 @p220 @p219) :args (@t70)) % 0.44/0.70 (step @p226 :rule aci_norm :args ((= (or @t95 (or @t144 (or @t158 (or @t143 @t91)))) @t159))) % 0.44/0.70 (step @p227 :rule bool-and-de-morgan :args (@t72 @t71 true)) % 0.44/0.70 (step @p228 :rule refl :args (@t158)) % 0.44/0.70 (step @p229 :rule nary_cong :premises (@p228 @p227) :args ((or @t158 (not (and @t72 @t71))))) % 0.44/0.70 (step @p230 :rule bool-and-de-morgan :args (@t73 @t72 (and @t71))) % 0.44/0.70 (step @p231 :rule trans :premises (@p230 @p229)) % 0.44/0.70 (step @p232 :rule refl :args (@t144)) % 0.44/0.70 (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or @t144 (not (and @t73 @t72 @t71))))) % 0.35/0.70 (step @p234 :rule bool-and-de-morgan :args (@t74 @t73 (and @t72 @t71))) % 0.35/0.70 (step @p235 :rule trans :premises (@p234 @p233)) % 0.35/0.70 (step @p236 :rule refl :args (@t95)) % 0.35/0.70 (step @p237 :rule nary_cong :premises (@p236 @p235) :args ((or @t95 (not (and @t74 @t73 @t72 @t71))))) % 0.35/0.70 (step @p238 :rule bool-and-de-morgan :args (@t32 @t74 (and @t73 @t72 @t71))) % 0.35/0.70 (step @p239 :rule trans :premises (@p238 @p237)) % 0.35/0.70 (step @p240 :rule trans :premises (@p239 @p226)) % 0.35/0.70 (step @p241 :rule cong :premises (@p240) :args (@t169)) % 0.35/0.70 (step @p242 :rule cong :premises (@p241) :args (@t170)) % 0.35/0.70 (step @p243 :rule exists-elim :args ((= @t76 @t170))) % 0.35/0.70 (step @p244 :rule trans :premises (@p243 @p242)) % 0.35/0.70 (step @p245 :rule refl :args (@t78)) % 0.35/0.70 (step @p246 :rule refl :args (@t80)) % 0.35/0.70 (step @p247 :rule nary_cong :premises (@p246 @p206 @p245 @p205 @p244 @p225) :args (@t81)) % 0.35/0.70 (step @p248 :rule refl :args (@t13)) % 0.35/0.70 (step @p249 :rule cong :premises (@p248 @p247) :args (@t82)) % 0.35/0.70 (step @p250 :rule cong :premises (@p249) :args (@t83)) % 0.35/0.70 (step @p251 :rule trans :premises (@p250 @p218)) % 0.35/0.70 (step @p252 :rule refl :args (@t15)) % 0.35/0.70 (step @p253 :rule cong :premises (@p252 @p251) :args (@t84)) % 0.35/0.70 (step @p254 :rule cong :premises (@p253) :args (@t85)) % 0.35/0.70 (step @p255 :rule trans :premises (@p254 @p182)) % 0.35/0.70 (step @p256 :rule refl :args (@t21)) % 0.35/0.70 (step @p257 :rule cong :premises (@p256 @p255) :args (@t86)) % 0.35/0.70 (step @p258 :rule cong :premises (@p257) :args (@t87)) % 0.35/0.70 (step @p259 :rule trans :premises (@p258 @p144)) % 0.35/0.70 (step @p260 :rule refl :args (@t17)) % 0.35/0.70 (step @p261 :rule cong :premises (@p260 @p259) :args (@t88)) % 0.35/0.70 (step @p262 :rule cong :premises (@p261) :args (@t89)) % 0.35/0.70 (step @p263 :rule trans :premises (@p262 @p115)) % 0.35/0.70 (step @p264 :rule cong :premises (@p263) :args (@t90)) % 0.35/0.70 (step @p265 :rule eq_resolve :premises (@p96 @p264)) % 0.35/0.70 (step @p266 :rule skolemize :premises (@p265)) % 0.35/0.70 (step @p267 :rule bool-double-not-elim :args (@t174)) % 0.35/0.70 (step @p268 :rule refl :args (@t183)) % 0.35/0.70 (step @p269 :rule nary_cong :premises (@p268 @p267) :args ((or @t183 (not @t175)))) % 0.35/0.70 (step @p270 :rule cnf_or_neg :args (@t183 5)) % 0.35/0.70 (step @p271 :rule eq_resolve :premises (@p270 @p269)) % 0.35/0.70 (step @p272 :rule reordering :premises (@p271) :args ((or @t174 @t183))) % 0.35/0.70 (step @p273 :rule chain_m_resolution :premises (@p272 @p266) :args (@t174 @t184 @t185)) % 0.35/0.70 (step @p274 :rule bool-double-not-elim :args (@t176)) % 0.35/0.70 (step @p275 :rule nary_cong :premises (@p268 @p274) :args ((or @t183 (not @t177)))) % 0.35/0.70 (step @p276 :rule cnf_or_neg :args (@t183 4)) % 0.35/0.70 (step @p277 :rule eq_resolve :premises (@p276 @p275)) % 0.35/0.70 (step @p278 :rule reordering :premises (@p277) :args ((or @t176 @t183))) % 0.35/0.70 (step @p279 :rule chain_m_resolution :premises (@p278 @p266) :args (@t176 @t184 @t185)) % 0.35/0.70 (step @p280 :rule cnf_or_neg :args (@t183 3)) % 0.35/0.70 (step @p281 :rule chain_m_resolution :premises (@p280 @p266) :args ((not @t181) @t184 @t185)) % 0.35/0.70 (step @p282 :rule bool-double-not-elim :args (@t178)) % 0.35/0.70 (step @p283 :rule nary_cong :premises (@p268 @p282) :args ((or @t183 (not @t182)))) % 0.35/0.70 (step @p284 :rule cnf_or_neg :args (@t183 1)) % 0.35/0.70 (step @p285 :rule eq_resolve :premises (@p284 @p283)) % 0.35/0.70 (step @p286 :rule reordering :premises (@p285) :args ((or @t178 @t183))) % 0.35/0.70 (step @p287 :rule chain_m_resolution :premises (@p286 @p266) :args (@t178 @t184 @t185)) % 0.35/0.70 (step @p288 :rule cnf_and_neg :args (@t181)) % 0.35/0.70 (step @p289 :rule reordering :premises (@p288) :args ((or @t182 @t181 @t177 @t186))) % 0.35/0.70 (step @p290 :rule chain_m_resolution :premises (@p289 @p287 @p281 @p279) :args (@t186 (@list false true false) (@list @t178 @t181 @t176))) % 0.35/0.70 (assume-push @p298 @t174) % 0.35/0.70 (step @p292 :rule instantiate :premises (@p273) :args ((@list @t179))) % 0.35/0.70 (step-pop @p299 :rule scope :premises (@p292)) % 0.35/0.70 (step @p293 :rule process_scope :premises (@p299) :args (@t180)) % 0.35/0.70 (step @p295 :rule implies_elim :premises (@p293)) % 0.35/0.70 (step @p296 :rule reordering :premises (@p295) :args ((or @t180 @t175))) % 0.35/0.70 (step @p297 false :rule chain_m_resolution :premises (@p296 @p290 @p273) :args (false (@list true false) (@list @t180 @t174))) % 0.35/0.70 ) % 0.35/0.70 % SZS output end Proof % 0.35/0.70 % cvc5 exiting %------------------------------------------------------------------------------