%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC405+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 : n017.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 08:59:11 AM UTC 2026 % Result : Theorem 0.37s 0.72s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWC405+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 % 0.18/0.35 % Computer : n017.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:45:01 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.72 % SZS status Theorem % 0.37/0.72 % SZS output start Proof % 0.37/0.72 ( % 0.37/0.72 (declare-sort $$unsorted 0) % 0.37/0.72 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.72 (declare-const tptp.nil $$unsorted) % 0.37/0.72 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.72 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.72 (define @t1 () (@var "V" $$unsorted)) % 0.37/0.72 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.72 (define @t3 () (= @t2 @t1)) % 0.37/0.72 (define @t4 () (not @t3)) % 0.37/0.72 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.37/0.72 (define @t6 () (tptp.ssItem @t1)) % 0.37/0.72 (define @t7 () (@list @t1)) % 0.37/0.72 (define @t8 () (tptp.ssItem @t2)) % 0.37/0.72 (define @t9 () (@list @t2)) % 0.37/0.72 (define @t10 () (@var "X" $$unsorted)) % 0.37/0.72 (define @t11 () (tptp.cons @t1 @t10)) % 0.37/0.72 (define @t12 () (@var "W" $$unsorted)) % 0.37/0.72 (define @t13 () (tptp.ssList @t10)) % 0.37/0.72 (define @t14 () (@list @t10)) % 0.37/0.72 (define @t15 () (tptp.ssList @t12)) % 0.37/0.72 (define @t16 () (@list @t12)) % 0.37/0.72 (define @t17 () (tptp.ssList @t2)) % 0.37/0.72 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.37/0.72 (define @t19 () (tptp.app @t1 @t12)) % 0.37/0.72 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.37/0.72 (define @t21 () (tptp.ssList @t1)) % 0.37/0.72 (define @t22 () (tptp.app @t12 @t1)) % 0.37/0.72 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.37/0.72 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.37/0.72 (define @t25 () (tptp.leq @t12 @t1)) % 0.37/0.72 (define @t26 () (tptp.leq @t1 @t12)) % 0.37/0.72 (define @t27 () (@var "Z" $$unsorted)) % 0.37/0.72 (define @t28 () (@var "Y" $$unsorted)) % 0.37/0.72 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.37/0.72 (define @t30 () (tptp.ssList @t27)) % 0.37/0.72 (define @t31 () (@list @t27)) % 0.37/0.72 (define @t32 () (tptp.ssList @t28)) % 0.37/0.72 (define @t33 () (@list @t28)) % 0.37/0.72 (define @t34 () (tptp.ssItem @t12)) % 0.37/0.72 (define @t35 () (tptp.lt @t1 @t12)) % 0.37/0.72 (define @t36 () (= @t1 @t12)) % 0.37/0.72 (define @t37 () (tptp.cons @t1 @t2)) % 0.37/0.72 (define @t38 () (= @t1 @t2)) % 0.37/0.72 (define @t39 () (tptp.cons @t12 @t1)) % 0.37/0.72 (define @t40 () (= tptp.nil @t2)) % 0.37/0.72 (define @t41 () (tptp.hd @t2)) % 0.37/0.72 (define @t42 () (not @t40)) % 0.37/0.72 (define @t43 () (tptp.tl @t2)) % 0.37/0.73 (define @t44 () (tptp.app @t2 @t1)) % 0.37/0.73 (define @t45 () (tptp.app @t1 @t2)) % 0.37/0.73 (define @t46 () (tptp.leq @t1 @t2)) % 0.37/0.73 (define @t47 () (tptp.leq @t2 @t1)) % 0.37/0.73 (define @t48 () (tptp.geq @t2 @t1)) % 0.37/0.73 (define @t49 () (tptp.lt @t1 @t2)) % 0.37/0.73 (define @t50 () (tptp.lt @t2 @t1)) % 0.37/0.73 (define @t51 () (tptp.lt @t2 @t12)) % 0.37/0.73 (define @t52 () (tptp.gt @t2 @t1)) % 0.37/0.73 (define @t53 () (tptp.memberP @t12 @t2)) % 0.37/0.73 (define @t54 () (tptp.app @t12 @t2)) % 0.37/0.73 (define @t55 () (tptp.cons @t2 tptp.nil)) % 0.37/0.73 (define @t56 () (tptp.hd @t1)) % 0.37/0.73 (define @t57 () (= tptp.nil @t1)) % 0.37/0.73 (define @t58 () (not @t57)) % 0.37/0.73 (define @t59 () (tptp.cons @t2 @t1)) % 0.37/0.73 (define @t60 () (= @t12 @t2)) % 0.37/0.73 (define @t61 () (tptp.memberP @t1 @t27)) % 0.37/0.73 (define @t62 () (not (tptp.memberP @t2 @t27))) % 0.37/0.73 (define @t63 () (or @t62 @t61)) % 0.37/0.73 (define @t64 () (tptp.ssItem @t27)) % 0.37/0.73 (define @t65 () (forall @t31 (=> @t64 @t63))) % 0.37/0.73 (define @t66 () (tptp.memberP @t10 @t28)) % 0.37/0.73 (define @t67 () (tptp.memberP @t12 @t28)) % 0.37/0.73 (define @t68 () (not @t67)) % 0.37/0.73 (define @t69 () (and @t68 @t66)) % 0.37/0.73 (define @t70 () (not @t66)) % 0.37/0.73 (define @t71 () (and @t70 @t67)) % 0.37/0.73 (define @t72 () (or @t71 @t69)) % 0.37/0.73 (define @t73 () (tptp.ssItem @t28)) % 0.37/0.73 (define @t74 () (and @t73 @t72)) % 0.37/0.73 (define @t75 () (exists @t33 @t74)) % 0.37/0.73 (define @t76 () (not (= @t2 @t12))) % 0.37/0.73 (define @t77 () (not (= @t1 @t10))) % 0.37/0.73 (define @t78 () (or @t77 @t76 @t75 @t65)) % 0.37/0.73 (define @t79 () (=> @t13 @t78)) % 0.37/0.73 (define @t80 () (forall @t14 @t79)) % 0.37/0.73 (define @t81 () (=> @t15 @t80)) % 0.37/0.73 (define @t82 () (forall @t16 @t81)) % 0.37/0.73 (define @t83 () (=> @t21 @t82)) % 0.37/0.73 (define @t84 () (forall @t7 @t83)) % 0.37/0.73 (define @t85 () (=> @t17 @t84)) % 0.37/0.73 (define @t86 () (forall @t9 @t85)) % 0.37/0.73 (define @t87 () (not @t86)) % 0.37/0.73 (define @t88 () (@var "BOUND_VARIABLE_11012" $$unsorted)) % 0.37/0.73 (define @t89 () (@var "BOUND_VARIABLE_11010" $$unsorted)) % 0.37/0.73 (define @t90 () (tptp.memberP @t89 @t88)) % 0.37/0.73 (define @t91 () (not (tptp.memberP @t2 @t88))) % 0.37/0.73 (define @t92 () (not (tptp.ssItem @t88))) % 0.37/0.73 (define @t93 () (tptp.memberP @t89 @t28)) % 0.37/0.73 (define @t94 () (tptp.memberP @t2 @t28)) % 0.37/0.73 (define @t95 () (not @t94)) % 0.37/0.73 (define @t96 () (not @t73)) % 0.37/0.73 (define @t97 () (not (forall @t33 (or @t96 (and (or @t93 @t95) (or @t94 (not @t93))))))) % 0.37/0.73 (define @t98 () (not (tptp.ssList @t89))) % 0.37/0.73 (define @t99 () (not @t17)) % 0.37/0.73 (define @t100 () (or @t99 @t98 @t97 @t92 @t91 @t90)) % 0.37/0.73 (define @t101 () (or @t98 @t97 @t92 @t91 @t90)) % 0.37/0.73 (define @t102 () (or @t99 @t101)) % 0.37/0.73 (define @t103 () (@list @t2 @t89 @t88)) % 0.37/0.73 (define @t104 () (forall @t103 @t102)) % 0.37/0.73 (define @t105 () (@list @t89 @t88)) % 0.37/0.73 (define @t106 () (forall @t105 @t102)) % 0.37/0.73 (define @t107 () (forall @t105 @t101)) % 0.37/0.73 (define @t108 () (@var "BOUND_VARIABLE_10993" $$unsorted)) % 0.37/0.73 (define @t109 () (or @t99 @t107)) % 0.37/0.73 (define @t110 () (tptp.memberP @t1 @t108)) % 0.37/0.73 (define @t111 () (not (tptp.memberP @t2 @t108))) % 0.37/0.73 (define @t112 () (not (tptp.ssItem @t108))) % 0.37/0.73 (define @t113 () (tptp.memberP @t1 @t28)) % 0.37/0.73 (define @t114 () (not @t113)) % 0.37/0.73 (define @t115 () (not (forall @t33 (or @t96 (and (or @t113 @t95) (or @t94 @t114)))))) % 0.37/0.73 (define @t116 () (not @t21)) % 0.37/0.73 (define @t117 () (or @t116 @t115 @t112 @t111 @t110)) % 0.37/0.73 (define @t118 () (@list @t1 @t108)) % 0.37/0.73 (define @t119 () (or @t99 (forall @t118 @t117))) % 0.37/0.73 (define @t120 () (or @t112 @t111 @t110)) % 0.37/0.73 (define @t121 () (or @t116 @t120 @t115)) % 0.37/0.73 (define @t122 () (forall @t118 @t121)) % 0.37/0.73 (define @t123 () (@list @t108)) % 0.37/0.73 (define @t124 () (forall @t123 @t121)) % 0.37/0.73 (define @t125 () (forall @t123 @t120)) % 0.37/0.73 (define @t126 () (or @t116 @t125 @t115)) % 0.37/0.73 (define @t127 () (not @t64)) % 0.37/0.73 (define @t128 () (or @t127 @t62 @t61)) % 0.37/0.73 (define @t129 () (forall @t31 @t128)) % 0.37/0.73 (define @t130 () (or @t116 @t129 @t115)) % 0.37/0.73 (define @t131 () (forall @t7 @t130)) % 0.37/0.73 (define @t132 () (or @t99 @t131)) % 0.37/0.73 (define @t133 () (or @t99 @t130)) % 0.37/0.73 (define @t134 () (or @t116 @t129 @t99 @t115)) % 0.37/0.73 (define @t135 () (or @t129 @t116 @t99 @t115)) % 0.37/0.73 (define @t136 () (or @t99 @t115)) % 0.37/0.73 (define @t137 () (not (= @t2 @t2))) % 0.37/0.73 (define @t138 () (or @t99 @t137 @t115)) % 0.37/0.73 (define @t139 () (not (forall @t33 (or @t96 (and (or @t113 @t68) (or @t67 @t114)))))) % 0.37/0.73 (define @t140 () (not @t15)) % 0.37/0.73 (define @t141 () (or @t76 @t140 @t76 @t139)) % 0.37/0.73 (define @t142 () (or @t140 @t76 @t139)) % 0.37/0.73 (define @t143 () (forall @t16 @t142)) % 0.37/0.73 (define @t144 () (or @t129 @t116 @t143)) % 0.37/0.73 (define @t145 () (or @t129 @t116 @t142)) % 0.37/0.73 (define @t146 () (or @t140 @t76 @t129 @t116 @t139)) % 0.37/0.73 (define @t147 () (or @t76 @t129 @t116 @t139)) % 0.37/0.73 (define @t148 () (or @t116 @t139)) % 0.37/0.73 (define @t149 () (not (= @t1 @t1))) % 0.37/0.73 (define @t150 () (or @t116 @t149 @t139)) % 0.37/0.73 (define @t151 () (not (forall @t33 (or @t96 (and (or @t66 @t68) (or @t67 @t70)))))) % 0.37/0.73 (define @t152 () (not @t13)) % 0.37/0.73 (define @t153 () (or @t77 @t152 @t77 @t151)) % 0.37/0.73 (define @t154 () (or @t152 @t77 @t151)) % 0.37/0.73 (define @t155 () (forall @t14 @t154)) % 0.37/0.73 (define @t156 () (or @t76 @t129 @t155)) % 0.37/0.73 (define @t157 () (or @t76 @t129 @t154)) % 0.37/0.73 (define @t158 () (or @t152 @t77 @t76 @t151 @t129)) % 0.37/0.73 (define @t159 () (or @t77 @t76 @t151 @t129)) % 0.37/0.73 (define @t160 () (forall @t33 (not @t74))) % 0.37/0.73 (define @t161 () (not @t160)) % 0.37/0.73 (define @t162 () (forall @t103 @t100)) % 0.37/0.73 (define @t163 () (@quantifiers_skolemize @t162 2)) % 0.37/0.73 (define @t164 () (tptp.ssItem @t163)) % 0.37/0.73 (define @t165 () (@quantifiers_skolemize @t162 1)) % 0.37/0.73 (define @t166 () (tptp.memberP @t165 @t163)) % 0.37/0.73 (define @t167 () (@quantifiers_skolemize @t162 0)) % 0.37/0.73 (define @t168 () (tptp.memberP @t167 @t163)) % 0.37/0.73 (define @t169 () (not @t168)) % 0.37/0.73 (define @t170 () (not @t164)) % 0.37/0.73 (define @t171 () (tptp.memberP @t165 @t28)) % 0.37/0.73 (define @t172 () (tptp.memberP @t167 @t28)) % 0.37/0.73 (define @t173 () (forall @t33 (or @t96 (and (or @t171 (not @t172)) (or @t172 (not @t171)))))) % 0.37/0.73 (define @t174 () (not @t173)) % 0.37/0.73 (define @t175 () (or (not (tptp.ssList @t167)) (not (tptp.ssList @t165)) @t174 @t170 @t169 @t166)) % 0.37/0.73 (define @t176 () (@list true)) % 0.37/0.73 (define @t177 () (@list @t175)) % 0.37/0.73 (define @t178 () (not @t166)) % 0.37/0.73 (define @t179 () (or @t166 @t169)) % 0.37/0.73 (define @t180 () (not @t179)) % 0.37/0.73 (define @t181 () (and @t179 (or @t168 @t178))) % 0.37/0.73 (define @t182 () (not @t181)) % 0.37/0.73 (define @t183 () (or @t170 @t181)) % 0.37/0.73 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.37/0.73 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.37/0.73 (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))))))))))) % 0.37/0.73 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.37/0.73 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.37/0.73 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.37/0.73 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.37/0.73 (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))))))))))))))))) % 0.37/0.73 (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)))))))))))))))) % 0.37/0.73 (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))))))))))))))))) % 0.37/0.73 (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))))))))))))))) % 0.37/0.73 (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))))))))))))))) % 0.37/0.73 (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)))))))))))))))) % 0.37/0.73 (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))))))))))))) % 0.37/0.73 (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5))))) % 0.37/0.73 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37)))))) % 0.37/0.73 (assume @p17 (tptp.ssList tptp.nil)) % 0.37/0.73 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2))))))) % 0.37/0.73 (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))))))))))) % 0.37/0.73 (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2))))))))) % 0.37/0.73 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37))))))) % 0.37/0.73 (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41))))) % 0.37/0.73 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1)))))) % 0.37/0.73 (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43))))) % 0.37/0.73 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2)))))) % 0.37/0.73 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44)))))) % 0.37/0.73 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2))))))))) % 0.37/0.73 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.37/0.73 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3)))))) % 0.37/0.73 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12))))))))) % 0.37/0.73 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.37/0.73 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46)))))) % 0.37/0.73 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49))))))) % 0.37/0.73 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51)))))))) % 0.37/0.73 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49)))))) % 0.37/0.73 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53))))))))) % 0.37/0.73 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53))))))))) % 0.37/0.73 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.37/0.73 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.37/0.73 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.37/0.73 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.37/0.73 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.37/0.73 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.37/0.73 (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)))))))))))) % 0.37/0.73 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.37/0.73 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40)))) % 0.37/0.73 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.37/0.73 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.37/0.73 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.37/0.73 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1))))))))) % 0.37/0.73 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.37/0.73 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40)))) % 0.37/0.73 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.37/0.73 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.37/0.73 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.37/0.73 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1))))))))))) % 0.37/0.73 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.37/0.73 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40)))) % 0.37/0.73 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t55)))) % 0.37/0.73 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.37/0.73 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t55)))) % 0.37/0.73 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.37/0.73 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t55)))) % 0.37/0.73 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.37/0.73 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t55)))) % 0.37/0.73 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.37/0.73 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t59) (or @t57 (and @t58 (tptp.totalorderedP @t1) (tptp.leq @t2 @t56))))))))) % 0.37/0.73 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t55)))) % 0.37/0.73 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.37/0.73 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t59) (or @t57 (and @t58 (tptp.strictorderedP @t1) (tptp.lt @t2 @t56))))))))) % 0.37/0.73 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t55)))) % 0.37/0.73 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.37/0.73 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t55)))) % 0.37/0.73 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.37/0.73 (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1))))))) % 0.37/0.73 (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1))))))) % 0.37/0.73 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t58 @t42 (= @t56 @t41) (= (tptp.tl @t1) @t43)) @t38)))))) % 0.37/0.73 (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2))))) % 0.37/0.73 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t60)))))))) % 0.37/0.73 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t60)))))))) % 0.37/0.73 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2))))))) % 0.37/0.73 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19))))))))) % 0.37/0.73 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t57 @t40))))))) % 0.37/0.73 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.37/0.73 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41))))))) % 0.37/0.73 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1)))))))) % 0.37/0.73 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3)))))) % 0.37/0.73 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.37/0.73 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.37/0.73 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.37/0.73 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51)))))))) % 0.37/0.73 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50))))))) % 0.37/0.73 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47))))))) % 0.37/0.73 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2)))))))) % 0.37/0.73 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.37/0.73 (assume @p96 @t87) % 0.37/0.73 (assume @p97 true) % 0.37/0.73 (step @p98 :rule aci_norm :args ((= @t102 @t100))) % 0.37/0.73 (step @p99 :rule cong :premises (@p98) :args (@t104)) % 0.37/0.73 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t106) @t104))) % 0.37/0.73 (step @p101 :rule alpha_equiv :args (@t107 (@list @t89 @t88) (@list @t1 @t108))) % 0.37/0.73 (step @p102 :rule refl :args (@t99)) % 0.37/0.73 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t109)) % 0.37/0.73 (step @p104 :rule quant-miniscope-or :args ((= @t106 @t109))) % 0.37/0.73 (step @p105 :rule trans :premises (@p104 @p103)) % 0.37/0.73 (step @p106 :rule symm :premises (@p105)) % 0.37/0.73 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 @t119))) % 0.37/0.73 (step @p108 :rule trans :premises (@p107 @p100)) % 0.37/0.73 (step @p109 :rule trans :premises (@p108 @p99)) % 0.37/0.73 (step @p110 :rule aci_norm :args ((= (or @t99 @t119) @t119))) % 0.37/0.73 (step @p111 :rule bool-impl-elim :args (@t17 @t119)) % 0.37/0.73 (step @p112 :rule trans :premises (@p111 @p110)) % 0.37/0.73 (step @p113 :rule cong :premises (@p112) :args ((forall @t9 (=> @t17 @t119)))) % 0.37/0.73 (step @p114 :rule trans :premises (@p113 @p109)) % 0.37/0.73 (step @p115 :rule aci_norm :args ((= @t121 @t117))) % 0.37/0.73 (step @p116 :rule cong :premises (@p115) :args (@t122)) % 0.37/0.73 (step @p117 :rule quant-merge-prenex :args ((= (forall @t7 @t124) @t122))) % 0.37/0.73 (step @p118 :rule refl :args (@t115)) % 0.37/0.73 (step @p119 :rule alpha_equiv :args (@t125 (@list @t108) (@list @t27))) % 0.37/0.73 (step @p120 :rule refl :args (@t116)) % 0.37/0.73 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118) :args (@t126)) % 0.37/0.73 (step @p122 :rule quant-miniscope-or :args ((= @t124 @t126))) % 0.37/0.73 (step @p123 :rule trans :premises (@p122 @p121)) % 0.37/0.73 (step @p124 :rule symm :premises (@p123)) % 0.37/0.73 (step @p125 :rule cong :premises (@p124) :args (@t131)) % 0.37/0.73 (step @p126 :rule trans :premises (@p125 @p117)) % 0.37/0.73 (step @p127 :rule trans :premises (@p126 @p116)) % 0.37/0.73 (step @p128 :rule refl :args (@t99)) % 0.37/0.73 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t132)) % 0.37/0.73 (step @p130 :rule quant-miniscope-or :args ((= (forall @t7 @t133) @t132))) % 0.37/0.73 (step @p131 :rule aci_norm :args ((= @t134 @t133))) % 0.37/0.73 (step @p132 :rule cong :premises (@p131) :args ((forall @t7 @t134))) % 0.37/0.73 (step @p133 :rule trans :premises (@p132 @p130)) % 0.37/0.73 (step @p134 :rule trans :premises (@p133 @p129)) % 0.37/0.73 (step @p135 :rule aci_norm :args ((= (or @t116 @t135) @t134))) % 0.37/0.73 (step @p136 :rule bool-impl-elim :args (@t21 @t135)) % 0.37/0.73 (step @p137 :rule trans :premises (@p136 @p135)) % 0.37/0.73 (step @p138 :rule cong :premises (@p137) :args ((forall @t7 (=> @t21 @t135)))) % 0.37/0.73 (step @p139 :rule trans :premises (@p138 @p134)) % 0.37/0.73 (step @p140 :rule aci_norm :args ((= (or @t129 @t116 @t136) @t135))) % 0.37/0.73 (step @p141 :rule aci_norm :args ((= (or @t99 false @t115) @t136))) % 0.37/0.73 (step @p142 :rule refl :args (@t115)) % 0.37/0.73 (step @p143 :rule evaluate :args ((not true))) % 0.37/0.73 (step @p144 :rule eq-refl :args (@t2)) % 0.37/0.73 (step @p145 :rule cong :premises (@p144) :args (@t137)) % 0.37/0.73 (step @p146 :rule trans :premises (@p145 @p143)) % 0.37/0.73 (step @p147 :rule nary_cong :premises (@p128 @p146 @p142) :args (@t138)) % 0.37/0.73 (step @p148 :rule trans :premises (@p147 @p141)) % 0.37/0.73 (step @p149 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t60) @t140 @t76 @t139)) @t138))) % 0.37/0.73 (step @p150 :rule refl :args (@t139)) % 0.37/0.73 (step @p151 :rule refl :args (@t76)) % 0.37/0.73 (step @p152 :rule refl :args (@t140)) % 0.37/0.73 (step @p153 :rule eq-symm :args (@t2 @t12)) % 0.37/0.73 (step @p154 :rule cong :premises (@p153) :args (@t76)) % 0.37/0.73 (step @p155 :rule nary_cong :premises (@p154 @p152 @p151 @p150) :args (@t141)) % 0.37/0.73 (step @p156 :rule aci_norm :args ((= @t142 @t141))) % 0.37/0.73 (step @p157 :rule trans :premises (@p156 @p155)) % 0.37/0.73 (step @p158 :rule cong :premises (@p157) :args (@t143)) % 0.37/0.73 (step @p159 :rule trans :premises (@p158 @p149)) % 0.37/0.73 (step @p160 :rule trans :premises (@p159 @p148)) % 0.37/0.73 (step @p161 :rule refl :args (@t116)) % 0.37/0.73 (step @p162 :rule refl :args (@t129)) % 0.37/0.73 (step @p163 :rule nary_cong :premises (@p162 @p161 @p160) :args (@t144)) % 0.37/0.73 (step @p164 :rule trans :premises (@p163 @p140)) % 0.37/0.73 (step @p165 :rule quant-miniscope-or :args ((= (forall @t16 @t145) @t144))) % 0.37/0.73 (step @p166 :rule aci_norm :args ((= @t146 @t145))) % 0.37/0.73 (step @p167 :rule cong :premises (@p166) :args ((forall @t16 @t146))) % 0.37/0.73 (step @p168 :rule trans :premises (@p167 @p165)) % 0.37/0.73 (step @p169 :rule trans :premises (@p168 @p164)) % 0.37/0.73 (step @p170 :rule aci_norm :args ((= (or @t140 @t147) @t146))) % 0.37/0.73 (step @p171 :rule bool-impl-elim :args (@t15 @t147)) % 0.37/0.73 (step @p172 :rule trans :premises (@p171 @p170)) % 0.37/0.73 (step @p173 :rule cong :premises (@p172) :args ((forall @t16 (=> @t15 @t147)))) % 0.37/0.73 (step @p174 :rule trans :premises (@p173 @p169)) % 0.37/0.73 (step @p175 :rule aci_norm :args ((= (or @t76 @t129 @t148) @t147))) % 0.37/0.73 (step @p176 :rule aci_norm :args ((= (or @t116 false @t139) @t148))) % 0.37/0.73 (step @p177 :rule refl :args (@t139)) % 0.37/0.73 (step @p178 :rule eq-refl :args (@t1)) % 0.37/0.73 (step @p179 :rule cong :premises (@p178) :args (@t149)) % 0.37/0.73 (step @p180 :rule trans :premises (@p179 @p143)) % 0.37/0.73 (step @p181 :rule nary_cong :premises (@p161 @p180 @p177) :args (@t150)) % 0.37/0.73 (step @p182 :rule trans :premises (@p181 @p176)) % 0.37/0.73 (step @p183 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t152 @t77 @t151)) @t150))) % 0.37/0.73 (step @p184 :rule refl :args (@t151)) % 0.37/0.73 (step @p185 :rule refl :args (@t77)) % 0.37/0.73 (step @p186 :rule refl :args (@t152)) % 0.37/0.73 (step @p187 :rule eq-symm :args (@t1 @t10)) % 0.37/0.73 (step @p188 :rule cong :premises (@p187) :args (@t77)) % 0.37/0.73 (step @p189 :rule nary_cong :premises (@p188 @p186 @p185 @p184) :args (@t153)) % 0.37/0.73 (step @p190 :rule aci_norm :args ((= @t154 @t153))) % 0.37/0.73 (step @p191 :rule trans :premises (@p190 @p189)) % 0.37/0.73 (step @p192 :rule cong :premises (@p191) :args (@t155)) % 0.37/0.73 (step @p193 :rule trans :premises (@p192 @p183)) % 0.37/0.73 (step @p194 :rule trans :premises (@p193 @p182)) % 0.37/0.73 (step @p195 :rule refl :args (@t76)) % 0.37/0.73 (step @p196 :rule nary_cong :premises (@p195 @p162 @p194) :args (@t156)) % 0.37/0.73 (step @p197 :rule trans :premises (@p196 @p175)) % 0.37/0.73 (step @p198 :rule quant-miniscope-or :args ((= (forall @t14 @t157) @t156))) % 0.37/0.73 (step @p199 :rule aci_norm :args ((= @t158 @t157))) % 0.37/0.73 (step @p200 :rule cong :premises (@p199) :args ((forall @t14 @t158))) % 0.37/0.73 (step @p201 :rule trans :premises (@p200 @p198)) % 0.37/0.73 (step @p202 :rule trans :premises (@p201 @p197)) % 0.37/0.73 (step @p203 :rule aci_norm :args ((= (or @t152 @t159) @t158))) % 0.37/0.73 (step @p204 :rule bool-impl-elim :args (@t13 @t159)) % 0.37/0.73 (step @p205 :rule trans :premises (@p204 @p203)) % 0.37/0.73 (step @p206 :rule cong :premises (@p205) :args ((forall @t14 (=> @t13 @t159)))) % 0.37/0.73 (step @p207 :rule trans :premises (@p206 @p202)) % 0.37/0.73 (step @p208 :rule aci_norm :args ((= (or @t127 @t63) @t128))) % 0.37/0.73 (step @p209 :rule bool-impl-elim :args (@t64 @t63)) % 0.37/0.73 (step @p210 :rule trans :premises (@p209 @p208)) % 0.37/0.73 (step @p211 :rule cong :premises (@p210) :args (@t65)) % 0.37/0.73 (step @p212 :rule refl :args (@t70)) % 0.37/0.73 (step @p213 :rule bool-double-not-elim :args (@t67)) % 0.37/0.73 (step @p214 :rule nary_cong :premises (@p213 @p212) :args ((or (not @t68) @t70))) % 0.37/0.73 (step @p215 :rule bool-and-de-morgan :args (@t68 @t66 true)) % 0.37/0.73 (step @p216 :rule trans :premises (@p215 @p214)) % 0.37/0.73 (step @p217 :rule refl :args (@t68)) % 0.37/0.73 (step @p218 :rule bool-double-not-elim :args (@t66)) % 0.37/0.73 (step @p219 :rule nary_cong :premises (@p218 @p217) :args ((or (not @t70) @t68))) % 0.37/0.73 (step @p220 :rule bool-and-de-morgan :args (@t70 @t67 true)) % 0.37/0.73 (step @p221 :rule trans :premises (@p220 @p219)) % 0.37/0.73 (step @p222 :rule nary_cong :premises (@p221 @p216) :args ((and (not @t71) (not @t69)))) % 0.37/0.73 (step @p223 :rule bool-or-de-morgan :args (@t71 @t69 false)) % 0.37/0.73 (step @p224 :rule trans :premises (@p223 @p222)) % 0.37/0.73 (step @p225 :rule refl :args (@t96)) % 0.37/0.73 (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((or @t96 (not @t72)))) % 0.37/0.73 (step @p227 :rule bool-and-de-morgan :args (@t73 @t72 true)) % 0.37/0.73 (step @p228 :rule trans :premises (@p227 @p226)) % 0.37/0.73 (step @p229 :rule cong :premises (@p228) :args (@t160)) % 0.37/0.73 (step @p230 :rule cong :premises (@p229) :args (@t161)) % 0.37/0.73 (step @p231 :rule exists-elim :args ((= @t75 @t161))) % 0.37/0.73 (step @p232 :rule trans :premises (@p231 @p230)) % 0.37/0.73 (step @p233 :rule refl :args (@t77)) % 0.37/0.73 (step @p234 :rule nary_cong :premises (@p233 @p195 @p232 @p211) :args (@t78)) % 0.37/0.73 (step @p235 :rule refl :args (@t13)) % 0.37/0.73 (step @p236 :rule cong :premises (@p235 @p234) :args (@t79)) % 0.37/0.73 (step @p237 :rule cong :premises (@p236) :args (@t80)) % 0.37/0.73 (step @p238 :rule trans :premises (@p237 @p207)) % 0.37/0.73 (step @p239 :rule refl :args (@t15)) % 0.37/0.73 (step @p240 :rule cong :premises (@p239 @p238) :args (@t81)) % 0.37/0.73 (step @p241 :rule cong :premises (@p240) :args (@t82)) % 0.37/0.73 (step @p242 :rule trans :premises (@p241 @p174)) % 0.37/0.73 (step @p243 :rule refl :args (@t21)) % 0.37/0.73 (step @p244 :rule cong :premises (@p243 @p242) :args (@t83)) % 0.37/0.73 (step @p245 :rule cong :premises (@p244) :args (@t84)) % 0.37/0.73 (step @p246 :rule trans :premises (@p245 @p139)) % 0.37/0.73 (step @p247 :rule refl :args (@t17)) % 0.37/0.73 (step @p248 :rule cong :premises (@p247 @p246) :args (@t85)) % 0.37/0.73 (step @p249 :rule cong :premises (@p248) :args (@t86)) % 0.37/0.73 (step @p250 :rule trans :premises (@p249 @p114)) % 0.37/0.73 (step @p251 :rule cong :premises (@p250) :args (@t87)) % 0.37/0.73 (step @p252 :rule eq_resolve :premises (@p96 @p251)) % 0.37/0.73 (step @p253 :rule skolemize :premises (@p252)) % 0.37/0.73 (step @p254 :rule bool-double-not-elim :args (@t164)) % 0.37/0.73 (step @p255 :rule refl :args (@t175)) % 0.37/0.73 (step @p256 :rule nary_cong :premises (@p255 @p254) :args ((or @t175 (not @t170)))) % 0.37/0.73 (step @p257 :rule cnf_or_neg :args (@t175 3)) % 0.37/0.73 (step @p258 :rule eq_resolve :premises (@p257 @p256)) % 0.37/0.73 (step @p259 :rule reordering :premises (@p258) :args ((or @t164 @t175))) % 0.37/0.73 (step @p260 :rule chain_m_resolution :premises (@p259 @p253) :args (@t164 @t176 @t177)) % 0.37/0.73 (step @p261 :rule bool-double-not-elim :args (@t173)) % 0.37/0.73 (step @p262 :rule nary_cong :premises (@p255 @p261) :args ((or @t175 (not @t174)))) % 0.37/0.73 (step @p263 :rule cnf_or_neg :args (@t175 2)) % 0.37/0.73 (step @p264 :rule eq_resolve :premises (@p263 @p262)) % 0.37/0.73 (step @p265 :rule reordering :premises (@p264) :args ((or @t173 @t175))) % 0.37/0.73 (step @p266 :rule chain_m_resolution :premises (@p265 @p253) :args (@t173 @t176 @t177)) % 0.37/0.73 (step @p267 :rule instantiate :premises (@p266) :args ((@list @t163))) % 0.37/0.73 (step @p268 :rule cnf_or_neg :args (@t175 5)) % 0.37/0.73 (step @p269 :rule chain_m_resolution :premises (@p268 @p253) :args (@t178 @t176 @t177)) % 0.37/0.73 (step @p270 :rule bool-double-not-elim :args (@t168)) % 0.37/0.73 (step @p271 :rule nary_cong :premises (@p255 @p270) :args ((or @t175 (not @t169)))) % 0.37/0.73 (step @p272 :rule cnf_or_neg :args (@t175 4)) % 0.37/0.73 (step @p273 :rule eq_resolve :premises (@p272 @p271)) % 0.37/0.73 (step @p274 :rule reordering :premises (@p273) :args ((or @t168 @t175))) % 0.37/0.73 (step @p275 :rule chain_m_resolution :premises (@p274 @p253) :args (@t168 @t176 @t177)) % 0.37/0.73 (step @p276 :rule cnf_or_pos :args (@t179)) % 0.37/0.73 (step @p277 :rule reordering :premises (@p276) :args ((or @t169 @t166 @t180))) % 0.37/0.73 (step @p278 :rule chain_m_resolution :premises (@p277 @p275 @p269) :args (@t180 (@list false true) (@list @t168 @t166))) % 0.37/0.73 (step @p279 :rule cnf_and_pos :args (@t181 0)) % 0.37/0.73 (step @p280 :rule reordering :premises (@p279) :args ((or @t179 @t182))) % 0.37/0.73 (step @p281 :rule chain_m_resolution :premises (@p280 @p278) :args (@t182 @t176 (@list @t179))) % 0.37/0.73 (step @p282 :rule cnf_or_pos :args (@t183)) % 0.37/0.73 (step @p283 :rule reordering :premises (@p282) :args ((or @t170 @t181 (not @t183)))) % 0.37/0.73 (step @p284 false :rule chain_m_resolution :premises (@p283 @p281 @p267 @p260) :args (false (@list true false false) (@list @t181 @t183 @t164))) % 0.37/0.73 ) % 0.37/0.73 % SZS output end Proof % 0.37/0.73 % cvc5 exiting %------------------------------------------------------------------------------