%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV578+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:56:09 AM UTC 2026 % Result : Theorem 0.40s 0.61s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV578+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 18:39:46 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.61 % SZS status Theorem % 0.40/0.61 % SZS output start Proof % 0.40/0.61 ( % 0.40/0.61 (declare-sort $$unsorted 0) % 0.40/0.61 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.e $$unsorted) % 0.40/0.61 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 0.40/0.61 (define @t1 () (@var "Y" $$unsorted)) % 0.40/0.61 (define @t2 () (@var "Z" $$unsorted)) % 0.40/0.61 (define @t3 () (tptp.mem @t2 @t1)) % 0.40/0.61 (define @t4 () (@var "X" $$unsorted)) % 0.40/0.61 (define @t5 () (tptp.mem @t2 @t4)) % 0.40/0.61 (define @t6 () (@list @t2)) % 0.40/0.61 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.40/0.61 (define @t8 () (tptp.subq @t4 @t1)) % 0.40/0.61 (define @t9 () (= @t8 @t7)) % 0.40/0.61 (define @t10 () (@list @t4 @t1)) % 0.40/0.61 (define @t11 () (forall @t10 @t9)) % 0.40/0.61 (define @t12 () (= @t4 @t1)) % 0.40/0.61 (define @t13 () (tptp.subq @t1 @t4)) % 0.40/0.61 (define @t14 () (@list @t4)) % 0.40/0.61 (define @t15 () (tptp.s @t1)) % 0.40/0.61 (define @t16 () (tptp.mem @t4 @t15)) % 0.40/0.61 (define @t17 () (forall @t10 (= @t16 @t12))) % 0.40/0.61 (define @t18 () (tptp.mem @t4 @t2)) % 0.40/0.61 (define @t19 () (tptp.mem @t4 @t1)) % 0.40/0.61 (define @t20 () (@list @t4 @t1 @t2)) % 0.40/0.61 (define @t21 () (tptp.p @t1)) % 0.40/0.61 (define @t22 () (tptp.mem @t4 @t21)) % 0.40/0.61 (define @t23 () (forall @t10 (= @t22 @t8))) % 0.40/0.61 (define @t24 () (@list @t1)) % 0.40/0.61 (define @t25 () (not @t8)) % 0.40/0.61 (define @t26 () (tptp.n tptp.e)) % 0.40/0.61 (define @t27 () (tptp.n @t26)) % 0.40/0.61 (define @t28 () (tptp.s @t26)) % 0.40/0.61 (define @t29 () (tptp.a @t28 @t27)) % 0.40/0.61 (define @t30 () (tptp.s @t29)) % 0.40/0.61 (define @t31 () (tptp.s @t27)) % 0.40/0.61 (define @t32 () (tptp.p @t28)) % 0.40/0.61 (define @t33 () (tptp.p @t32)) % 0.40/0.61 (define @t34 () (tptp.a @t33 @t31)) % 0.40/0.61 (define @t35 () (tptp.n @t28)) % 0.40/0.61 (define @t36 () (tptp.u @t26 @t35)) % 0.40/0.61 (define @t37 () (tptp.n @t36)) % 0.40/0.61 (define @t38 () (tptp.u @t37 @t34)) % 0.40/0.61 (define @t39 () (tptp.u @t38 @t30)) % 0.40/0.61 (define @t40 () (tptp.s @t28)) % 0.40/0.61 (define @t41 () (tptp.n @t40)) % 0.40/0.61 (define @t42 () (tptp.u @t28 @t41)) % 0.40/0.61 (define @t43 () (tptp.a @t42 @t29)) % 0.40/0.61 (define @t44 () (tptp.s @t32)) % 0.40/0.61 (define @t45 () (tptp.a @t44 @t31)) % 0.40/0.61 (define @t46 () (tptp.s @t36)) % 0.40/0.61 (define @t47 () (tptp.u @t46 @t45)) % 0.40/0.61 (define @t48 () (tptp.u @t47 @t43)) % 0.40/0.61 (define @t49 () (tptp.subq @t48 @t39)) % 0.40/0.61 (define @t50 () (forall @t6 (or (not (tptp.mem @t2 @t48)) (tptp.mem @t2 @t39)))) % 0.40/0.61 (define @t51 () (@quantifiers_skolemize @t50 0)) % 0.40/0.61 (define @t52 () (@list @t51 @t32)) % 0.40/0.61 (define @t53 () (tptp.subq @t51 @t32)) % 0.40/0.61 (define @t54 () (tptp.mem @t51 @t33)) % 0.40/0.61 (define @t55 () (forall @t10 (= @t8 @t22))) % 0.40/0.61 (define @t56 () (= @t53 @t54)) % 0.40/0.61 (define @t57 () (= @t54 @t53)) % 0.40/0.61 (define @t58 () (@list false)) % 0.40/0.61 (define @t59 () (@list @t55)) % 0.40/0.61 (define @t60 () (tptp.s @t31)) % 0.40/0.61 (define @t61 () (= @t49 @t50)) % 0.40/0.61 (define @t62 () (not @t50)) % 0.40/0.61 (define @t63 () (@list true false)) % 0.40/0.61 (define @t64 () (tptp.mem @t51 @t39)) % 0.40/0.61 (define @t65 () (tptp.mem @t51 @t48)) % 0.40/0.61 (define @t66 () (not @t65)) % 0.40/0.61 (define @t67 () (or @t66 @t64)) % 0.40/0.61 (define @t68 () (@list true)) % 0.40/0.61 (define @t69 () (@list @t67)) % 0.40/0.61 (define @t70 () (tptp.mem @t51 @t30)) % 0.40/0.61 (define @t71 () (tptp.mem @t51 @t38)) % 0.40/0.61 (define @t72 () (or @t71 @t70)) % 0.40/0.61 (define @t73 () (= @t64 @t72)) % 0.40/0.61 (define @t74 () (not @t72)) % 0.40/0.61 (define @t75 () (@list @t72)) % 0.40/0.61 (define @t76 () (tptp.mem @t51 @t34)) % 0.40/0.61 (define @t77 () (tptp.mem @t51 @t37)) % 0.40/0.61 (define @t78 () (or @t77 @t76)) % 0.40/0.61 (define @t79 () (= @t71 @t78)) % 0.40/0.61 (define @t80 () (not @t78)) % 0.40/0.61 (define @t81 () (@list @t78)) % 0.40/0.61 (define @t82 () (tptp.mem @t51 (tptp.u @t33 @t60))) % 0.40/0.61 (define @t83 () (tptp.mem @t51 @t60)) % 0.40/0.61 (define @t84 () (or @t54 @t83)) % 0.40/0.61 (define @t85 () (= @t82 @t84)) % 0.40/0.61 (define @t86 () (not @t84)) % 0.40/0.61 (define @t87 () (@list @t84)) % 0.40/0.61 (define @t88 () (not @t53)) % 0.40/0.61 (define @t89 () (forall @t6 (or (not (tptp.mem @t2 @t51)) (tptp.mem @t2 @t32)))) % 0.40/0.61 (define @t90 () (= @t53 @t89)) % 0.40/0.61 (define @t91 () (not @t89)) % 0.40/0.61 (define @t92 () (@quantifiers_skolemize @t89 0)) % 0.40/0.61 (define @t93 () (tptp.mem @t92 @t51)) % 0.40/0.61 (define @t94 () (tptp.mem @t92 @t32)) % 0.40/0.61 (define @t95 () (not @t93)) % 0.40/0.61 (define @t96 () (or @t95 @t94)) % 0.40/0.61 (define @t97 () (@list @t96)) % 0.40/0.61 (define @t98 () (not @t94)) % 0.40/0.61 (define @t99 () (tptp.mem @t51 @t44)) % 0.40/0.61 (define @t100 () (= @t51 @t32)) % 0.40/0.61 (define @t101 () (forall @t10 (= @t12 @t16))) % 0.40/0.61 (define @t102 () (= @t100 @t99)) % 0.40/0.61 (define @t103 () (= @t32 @t51)) % 0.40/0.61 (define @t104 () (= @t99 @t103)) % 0.40/0.61 (define @t105 () (@list @t101)) % 0.40/0.61 (define @t106 () (tptp.mem @t51 @t43)) % 0.40/0.61 (define @t107 () (tptp.mem @t51 @t47)) % 0.40/0.61 (define @t108 () (or @t107 @t106)) % 0.40/0.61 (define @t109 () (= @t65 @t108)) % 0.40/0.61 (define @t110 () (@list false false)) % 0.40/0.61 (define @t111 () (tptp.s @t40)) % 0.40/0.61 (define @t112 () (tptp.mem @t51 @t111)) % 0.40/0.61 (define @t113 () (= @t51 @t40)) % 0.40/0.61 (define @t114 () (= @t113 @t112)) % 0.40/0.61 (define @t115 () (= @t40 @t51)) % 0.40/0.61 (define @t116 () (= @t112 @t115)) % 0.40/0.61 (define @t117 () (= @t28 @t92)) % 0.40/0.61 (define @t118 () (tptp.mem @t92 @t40)) % 0.40/0.61 (define @t119 () (= (= @t92 @t28) @t118)) % 0.40/0.61 (define @t120 () (@list @t92 @t28)) % 0.40/0.61 (define @t121 () (= @t118 @t117)) % 0.40/0.61 (define @t122 () (tptp.subq @t92 @t28)) % 0.40/0.61 (define @t123 () (= @t122 @t94)) % 0.40/0.61 (define @t124 () (= @t94 @t122)) % 0.40/0.61 (define @t125 () (not @t122)) % 0.40/0.61 (define @t126 () (forall @t6 (or (not (tptp.mem @t2 @t92)) (tptp.mem @t2 @t28)))) % 0.40/0.61 (define @t127 () (= @t122 @t126)) % 0.40/0.61 (define @t128 () (not @t126)) % 0.40/0.61 (define @t129 () (@quantifiers_skolemize @t126 0)) % 0.40/0.61 (define @t130 () (tptp.mem @t129 @t28)) % 0.40/0.61 (define @t131 () (tptp.mem @t129 @t92)) % 0.40/0.61 (define @t132 () (not @t131)) % 0.40/0.61 (define @t133 () (or @t132 @t130)) % 0.40/0.61 (define @t134 () (not @t130)) % 0.40/0.61 (define @t135 () (@list @t133)) % 0.40/0.61 (define @t136 () (not @t117)) % 0.40/0.61 (define @t137 () (= true false)) % 0.40/0.61 (define @t138 () (and @t134 @t117 @t131)) % 0.40/0.61 (define @t139 () (@list false true)) % 0.40/0.61 (define @t140 () (not @t118)) % 0.40/0.61 (define @t141 () (not @t115)) % 0.40/0.61 (define @t142 () (and @t140 @t115 @t93)) % 0.40/0.61 (define @t143 () (not @t112)) % 0.40/0.61 (define @t144 () (tptp.mem @t51 (tptp.u @t36 @t46))) % 0.40/0.61 (define @t145 () (tptp.mem @t51 @t46)) % 0.40/0.61 (define @t146 () (tptp.mem @t51 @t36)) % 0.40/0.61 (define @t147 () (or @t146 @t145)) % 0.40/0.61 (define @t148 () (= @t144 @t147)) % 0.40/0.61 (define @t149 () (not @t147)) % 0.40/0.61 (define @t150 () (@list @t147)) % 0.40/0.61 (define @t151 () (tptp.mem @t51 @t35)) % 0.40/0.61 (define @t152 () (or (tptp.mem @t51 @t26) @t151)) % 0.40/0.61 (define @t153 () (= @t146 @t152)) % 0.40/0.61 (define @t154 () (not @t152)) % 0.40/0.61 (define @t155 () (tptp.mem @t51 (tptp.u @t28 @t40))) % 0.40/0.61 (define @t156 () (tptp.mem @t51 @t40)) % 0.40/0.61 (define @t157 () (tptp.mem @t51 @t28)) % 0.40/0.61 (define @t158 () (or @t157 @t156)) % 0.40/0.61 (define @t159 () (= @t155 @t158)) % 0.40/0.61 (define @t160 () (not @t158)) % 0.40/0.61 (define @t161 () (not @t156)) % 0.40/0.61 (define @t162 () (@list @t158)) % 0.40/0.61 (define @t163 () (or @t156 @t112)) % 0.40/0.61 (define @t164 () (not @t163)) % 0.40/0.61 (define @t165 () (@list true true)) % 0.40/0.61 (define @t166 () (tptp.u @t40 @t111)) % 0.40/0.61 (define @t167 () (tptp.mem @t51 @t166)) % 0.40/0.61 (define @t168 () (= @t167 @t163)) % 0.40/0.61 (define @t169 () (not @t167)) % 0.40/0.61 (define @t170 () (tptp.mem @t51 @t41)) % 0.40/0.61 (define @t171 () (not @t170)) % 0.40/0.61 (define @t172 () (tptp.a @t40 @t40)) % 0.40/0.61 (define @t173 () (= @t172 @t166)) % 0.40/0.61 (define @t174 () (not @t173)) % 0.40/0.61 (define @t175 () (= @t41 @t172)) % 0.40/0.61 (define @t176 () (not @t175)) % 0.40/0.61 (define @t177 () (and @t175 @t173 @t169)) % 0.40/0.61 (define @t178 () (not @t157)) % 0.40/0.61 (define @t179 () (or @t157 @t170)) % 0.40/0.61 (define @t180 () (not @t179)) % 0.40/0.61 (define @t181 () (tptp.mem @t51 @t42)) % 0.40/0.61 (define @t182 () (= @t181 @t179)) % 0.40/0.61 (define @t183 () (not @t181)) % 0.40/0.61 (define @t184 () (or @t181 @t70)) % 0.40/0.61 (define @t185 () (not @t184)) % 0.40/0.61 (define @t186 () (tptp.u @t42 @t30)) % 0.40/0.61 (define @t187 () (tptp.mem @t51 @t186)) % 0.40/0.61 (define @t188 () (= @t187 @t184)) % 0.40/0.61 (define @t189 () (not @t187)) % 0.40/0.61 (define @t190 () (not @t106)) % 0.40/0.61 (define @t191 () (= @t43 @t186)) % 0.40/0.61 (define @t192 () (not @t191)) % 0.40/0.61 (define @t193 () (and @t191 @t189)) % 0.40/0.61 (define @t194 () (tptp.mem @t51 @t45)) % 0.40/0.61 (define @t195 () (or @t145 @t194)) % 0.40/0.61 (define @t196 () (= @t107 @t195)) % 0.40/0.61 (define @t197 () (not @t145)) % 0.40/0.61 (define @t198 () (tptp.u @t44 @t60)) % 0.40/0.61 (define @t199 () (= @t45 @t198)) % 0.40/0.61 (define @t200 () (tptp.mem @t51 @t198)) % 0.40/0.61 (define @t201 () (and @t199 @t194)) % 0.40/0.61 (define @t202 () (or @t99 @t83)) % 0.40/0.61 (define @t203 () (= @t200 @t202)) % 0.40/0.61 (define @t204 () (not @t103)) % 0.40/0.61 (define @t205 () (and @t98 @t103 @t93)) % 0.40/0.61 (assume @p1 @t11) % 0.40/0.61 (assume @p2 (forall @t10 (=> @t8 (=> @t13 @t12)))) % 0.40/0.61 (assume @p3 (forall @t10 (= (tptp.disj @t4 @t1) (not (exists @t6 (and @t5 @t3)))))) % 0.40/0.61 (assume @p4 (forall @t14 (not (tptp.mem @t4 tptp.e)))) % 0.40/0.61 (assume @p5 @t17) % 0.40/0.61 (assume @p6 (forall @t20 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t19 @t18)))) % 0.40/0.61 (assume @p7 (forall @t20 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t19 (not @t18))))) % 0.40/0.61 (assume @p8 (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t15)))) % 0.40/0.61 (assume @p9 (forall @t14 (= (tptp.n @t4) (tptp.a @t4 @t4)))) % 0.40/0.61 (assume @p10 @t23) % 0.40/0.61 (assume @p11 (forall @t14 (= (tptp.atleast2p @t4) (exists @t24 (and (tptp.mem @t1 @t4) (not (tptp.subq @t4 @t21))))))) % 0.40/0.61 (assume @p12 (forall @t14 (= (tptp.atleast3p @t4) (exists @t24 (and @t13 (tptp.atleast2p @t1) @t25))))) % 0.40/0.61 (assume @p13 (forall @t14 (= (tptp.atleast4p @t4) (exists @t24 (and @t13 (tptp.atleast3p @t1) @t25))))) % 0.40/0.61 (assume @p14 (forall @t14 (= (tptp.atleast5p @t4) (exists @t24 (and @t13 (tptp.atleast4p @t1) @t25))))) % 0.40/0.61 (assume @p15 (forall @t14 (= (tptp.atleast6p @t4) (exists @t24 (and @t13 (tptp.atleast5p @t1) @t25))))) % 0.40/0.61 (assume @p16 (forall @t14 (= (tptp.atleast7p @t4) (exists @t24 (and @t13 (tptp.atleast6p @t1) @t25))))) % 0.40/0.61 (assume @p17 (forall @t14 (= (tptp.atleast8p @t4) (exists @t24 (and @t13 (tptp.atleast7p @t1) @t25))))) % 0.40/0.61 (assume @p18 (forall @t14 (= (tptp.atleast9p @t4) (exists @t24 (and @t13 (tptp.atleast8p @t1) @t25))))) % 0.40/0.61 (assume @p19 (forall @t14 (= (tptp.atleast10p @t4) (exists @t24 (and @t13 (tptp.atleast9p @t1) @t25))))) % 0.40/0.61 (assume @p20 (forall @t14 (= (tptp.atleast11p @t4) (exists @t24 (and @t13 (tptp.atleast10p @t1) @t25))))) % 0.40/0.61 (assume @p21 (forall @t14 (= (tptp.atleast12p @t4) (exists @t24 (and @t13 (tptp.atleast11p @t1) @t25))))) % 0.40/0.61 (assume @p22 (forall @t14 (= (tptp.atleast13p @t4) (exists @t24 (and @t13 (tptp.atleast12p @t1) @t25))))) % 0.40/0.61 (assume @p23 (forall @t14 (= (tptp.atleast14p @t4) (exists @t24 (and @t13 (tptp.atleast13p @t1) @t25))))) % 0.40/0.61 (assume @p24 (forall @t14 (= (tptp.atleast15p @t4) (exists @t24 (and @t13 (tptp.atleast14p @t1) @t25))))) % 0.40/0.61 (assume @p25 (forall @t14 (= (tptp.atleast16p @t4) (exists @t24 (and @t13 (tptp.atleast15p @t1) @t25))))) % 0.40/0.61 (assume @p26 (not @t49)) % 0.40/0.61 (assume @p27 true) % 0.40/0.61 (step @p28 :rule bool-impl-elim :args (@t5 @t3)) % 0.40/0.61 (step @p29 :rule cong :premises (@p28) :args (@t7)) % 0.40/0.61 (step @p30 :rule refl :args (@t8)) % 0.40/0.61 (step @p31 :rule cong :premises (@p30 @p29) :args (@t9)) % 0.40/0.61 (step @p32 :rule cong :premises (@p31) :args (@t11)) % 0.40/0.61 (step @p33 :rule eq_resolve 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(step @p259 :rule symm :premises (@p258)) % 0.40/0.61 (step @p260 :rule instantiate :premises (@p8) :args ((@list @t36 @t36))) % 0.40/0.61 (step @p261 :rule symm :premises (@p260)) % 0.40/0.61 (step @p262 :rule trans :premises (@p261 @p259)) % 0.40/0.61 (step @p263 :rule cong :premises (@p71 @p262) :args (@t144)) % 0.40/0.61 (step @p264 :rule trans :premises (@p263 @p257)) % 0.40/0.61 (step @p265 :rule false_elim :premises (@p264)) % 0.40/0.61 (step @p266 :rule cnf_equiv_pos2 :args (@t148)) % 0.40/0.61 (step @p267 :rule reordering :premises (@p266) :args ((or @t144 @t149 (not @t148)))) % 0.40/0.61 (step @p268 :rule chain_m_resolution :premises (@p267 @p265 @p254) :args (@t149 @t63 (@list @t144 @t148))) % 0.40/0.61 (step @p269 :rule cnf_or_neg :args (@t147 0)) % 0.40/0.61 (step @p270 :rule chain_m_resolution :premises (@p269 @p268) :args ((not @t146) @t68 @t150)) % 0.40/0.61 (step @p271 :rule cnf_equiv_pos2 :args (@t153)) % 0.40/0.61 (step @p272 :rule reordering :premises (@p271) :args 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reordering :premises (@p285) :args ((or @t155 @t160 (not @t159)))) % 0.40/0.61 (step @p287 :rule chain_m_resolution :premises (@p286 @p284 @p252) :args (@t160 @t63 (@list @t155 @t159))) % 0.40/0.61 (step @p288 :rule cnf_or_neg :args (@t158 1)) % 0.40/0.61 (step @p289 :rule reordering :premises (@p288) :args ((or @t161 @t158))) % 0.40/0.61 (step @p290 :rule chain_m_resolution :premises (@p289 @p287) :args (@t161 @t68 @t162)) % 0.40/0.61 (step @p291 :rule cnf_or_pos :args (@t163)) % 0.40/0.61 (step @p292 :rule reordering :premises (@p291) :args ((or @t156 @t112 @t164))) % 0.40/0.61 (step @p293 :rule chain_m_resolution :premises (@p292 @p290 @p251) :args (@t164 @t165 (@list @t156 @t112))) % 0.40/0.61 (step @p294 :rule cnf_equiv_pos1 :args (@t168)) % 0.40/0.61 (step @p295 :rule reordering :premises (@p294) :args ((or @t163 @t169 (not @t168)))) % 0.40/0.61 (step @p296 :rule chain_m_resolution :premises (@p295 @p293 @p128) :args (@t169 @t63 (@list @t163 @t168))) % 0.40/0.61 (step @p297 :rule 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:premises (@p313)) % 0.40/0.61 (step-pop @p488 :rule scope :premises (@p314)) % 0.40/0.61 (step-pop @p489 :rule scope :premises (@p488)) % 0.40/0.61 (step-pop @p490 :rule scope :premises (@p489)) % 0.40/0.61 (step @p315 :rule process_scope :premises (@p490) :args (@t171)) % 0.40/0.61 (step @p319 :rule and_intro :premises (@p484 @p297 @p298)) % 0.40/0.61 (step @p320 :rule modus_ponens :premises (@p319 @p315)) % 0.40/0.61 (step-pop @p491 :rule scope :premises (@p320)) % 0.40/0.61 (step-pop @p492 :rule scope :premises (@p491)) % 0.40/0.61 (step-pop @p493 :rule scope :premises (@p492)) % 0.40/0.61 (step @p321 :rule process_scope :premises (@p493) :args (@t171)) % 0.40/0.61 (step @p325 :rule implies_elim :premises (@p321)) % 0.40/0.61 (step @p326 :rule cnf_and_neg :args (@t177)) % 0.40/0.61 (step @p327 :rule resolution :premises (@p326 @p325) :args (true @t177)) % 0.40/0.61 (step @p328 :rule eq_resolve :premises (@p327 @p303)) % 0.40/0.61 (step @p329 :rule reordering :premises (@p328) :args ((or @t176 @t174 @t171 @t167))) % 0.40/0.61 (step @p330 :rule chain_m_resolution :premises (@p329 @p298 @p297 @p296) :args (@t171 (@list false false true) (@list @t175 @t173 @t167))) % 0.40/0.61 (step @p331 :rule cnf_or_neg :args (@t158 0)) % 0.40/0.61 (step @p332 :rule reordering :premises (@p331) :args ((or @t178 @t158))) % 0.40/0.61 (step @p333 :rule chain_m_resolution :premises (@p332 @p287) :args (@t178 @t68 @t162)) % 0.40/0.61 (step @p334 :rule cnf_or_pos :args (@t179)) % 0.40/0.61 (step @p335 :rule reordering :premises (@p334) :args ((or @t157 @t170 @t180))) % 0.40/0.61 (step @p336 :rule chain_m_resolution :premises (@p335 @p333 @p330) :args (@t180 @t165 (@list @t157 @t170))) % 0.40/0.61 (step @p337 :rule cnf_equiv_pos1 :args (@t182)) % 0.40/0.61 (step @p338 :rule reordering :premises (@p337) :args ((or @t183 @t179 (not @t182)))) % 0.40/0.61 (step @p339 :rule chain_m_resolution :premises (@p338 @p336 @p127) :args (@t183 @t63 (@list @t179 @t182))) % 0.40/0.61 (step @p340 :rule cnf_or_neg :args (@t72 1)) % 0.40/0.61 (step @p341 :rule chain_m_resolution :premises (@p340 @p60) :args ((not @t70) @t68 @t75)) % 0.40/0.61 (step @p342 :rule cnf_or_pos :args (@t184)) % 0.40/0.61 (step @p343 :rule reordering :premises (@p342) :args ((or @t70 @t181 @t185))) % 0.40/0.61 (step @p344 :rule chain_m_resolution :premises (@p343 @p341 @p339) :args (@t185 @t165 (@list @t70 @t181))) % 0.40/0.61 (step @p345 :rule cnf_equiv_pos1 :args (@t188)) % 0.40/0.61 (step @p346 :rule reordering :premises (@p345) :args ((or @t184 @t189 (not @t188)))) % 0.40/0.61 (step @p347 :rule chain_m_resolution :premises (@p346 @p344 @p126) :args (@t189 @t63 (@list @t184 @t188))) % 0.40/0.61 (step @p348 :rule instantiate :premises (@p8) :args ((@list @t42 @t29))) % 0.40/0.61 (step @p349 :rule refl :args (@t190)) % 0.40/0.61 (step @p350 :rule bool-double-not-elim :args (@t187)) % 0.40/0.61 (step @p351 :rule refl :args (@t192)) % 0.40/0.61 (step @p352 :rule nary_cong :premises (@p351 @p350 @p349) :args ((or @t192 (not @t189) @t190))) % 0.40/0.61 (assume-push @p494 @t191) % 0.40/0.61 (assume-push @p495 @t189) % 0.40/0.61 (assume-push @p496 @t189) % 0.40/0.61 (assume-push @p497 @t191) % 0.40/0.61 (step @p357 :rule false_intro :premises (@p495)) % 0.40/0.61 (step @p358 :rule cong :premises (@p71 @p348) :args (@t106)) % 0.40/0.61 (step @p359 :rule trans :premises (@p358 @p357)) % 0.40/0.61 (step @p360 :rule false_elim :premises (@p359)) % 0.40/0.61 (step-pop @p498 :rule scope :premises (@p360)) % 0.40/0.61 (step-pop @p499 :rule scope :premises (@p498)) % 0.40/0.61 (step @p361 :rule process_scope :premises (@p499) :args (@t190)) % 0.40/0.61 (step @p364 :rule and_intro :premises (@p495 @p348)) % 0.40/0.61 (step @p365 :rule modus_ponens :premises (@p364 @p361)) % 0.40/0.61 (step-pop @p500 :rule scope :premises (@p365)) % 0.40/0.61 (step-pop @p501 :rule scope :premises (@p500)) % 0.40/0.61 (step @p366 :rule process_scope :premises (@p501) :args (@t190)) % 0.40/0.61 (step @p369 :rule implies_elim :premises (@p366)) % 0.40/0.61 (step @p370 :rule cnf_and_neg :args (@t193)) % 0.40/0.61 (step @p371 :rule resolution :premises (@p370 @p369) :args (true @t193)) % 0.40/0.61 (step @p372 :rule eq_resolve :premises (@p371 @p352)) % 0.40/0.61 (step @p373 :rule reordering :premises (@p372) :args ((or @t192 @t190 @t187))) % 0.40/0.61 (step @p374 :rule chain_m_resolution :premises (@p373 @p348 @p347) :args (@t190 @t139 (@list @t191 @t187))) % 0.40/0.61 (step @p375 :rule cnf_or_pos :args (@t108)) % 0.40/0.61 (step @p376 :rule reordering :premises (@p375) :args ((or @t107 @t106 (not @t108)))) % 0.40/0.61 (step @p377 :rule chain_m_resolution :premises (@p376 @p374 @p125) :args (@t107 @t63 (@list @t106 @t108))) % 0.40/0.61 (step @p378 :rule cnf_equiv_pos1 :args (@t196)) % 0.40/0.61 (step @p379 :rule reordering :premises (@p378) :args ((or (not @t107) @t195 (not @t196)))) % 0.40/0.61 (step @p380 :rule chain_m_resolution :premises (@p379 @p377 @p114) :args (@t195 @t110 (@list @t107 @t196))) % 0.40/0.61 (step @p381 :rule cnf_or_neg :args (@t147 1)) % 0.40/0.61 (step @p382 :rule reordering :premises (@p381) :args ((or @t197 @t147))) % 0.40/0.61 (step @p383 :rule chain_m_resolution :premises (@p382 @p268) :args (@t197 @t68 @t150)) % 0.40/0.61 (step @p384 :rule cnf_or_pos :args (@t195)) % 0.40/0.61 (step @p385 :rule reordering :premises (@p384) :args ((or @t145 @t194 (not @t195)))) % 0.40/0.61 (step @p386 :rule chain_m_resolution :premises (@p385 @p383 @p380) :args (@t194 @t63 (@list @t145 @t195))) % 0.40/0.61 (step @p387 :rule instantiate :premises (@p8) :args ((@list @t44 @t31))) % 0.40/0.61 (assume-push @p502 @t199) % 0.40/0.61 (assume-push @p503 @t194) % 0.40/0.61 (assume-push @p504 @t194) % 0.40/0.61 (assume-push @p505 @t199) % 0.40/0.61 (step @p392 :rule true_intro :premises (@p503)) % 0.40/0.61 (step @p393 :rule symm :premises (@p387)) % 0.40/0.61 (step @p394 :rule cong :premises (@p71 @p393) :args (@t200)) % 0.40/0.61 (step @p395 :rule trans :premises (@p394 @p392)) % 0.40/0.61 (step @p396 :rule true_elim :premises (@p395)) % 0.40/0.61 (step-pop @p506 :rule scope :premises (@p396)) % 0.40/0.61 (step-pop @p507 :rule scope :premises (@p506)) % 0.40/0.61 (step @p397 :rule process_scope :premises (@p507) :args (@t200)) % 0.40/0.61 (step @p400 :rule and_intro :premises (@p503 @p387)) % 0.40/0.61 (step @p401 :rule modus_ponens :premises (@p400 @p397)) % 0.40/0.61 (step-pop @p508 :rule scope :premises (@p401)) % 0.40/0.61 (step-pop @p509 :rule scope :premises (@p508)) % 0.40/0.61 (step @p402 :rule process_scope :premises (@p509) :args (@t200)) % 0.40/0.61 (step @p405 :rule implies_elim :premises (@p402)) % 0.40/0.61 (step @p406 :rule cnf_and_neg :args (@t201)) % 0.40/0.61 (step @p407 :rule resolution :premises (@p406 @p405) :args (true @t201)) % 0.40/0.61 (step @p408 :rule chain_m_resolution :premises (@p407 @p387 @p386) :args (@t200 @t110 (@list @t199 @t194))) % 0.40/0.61 (step @p409 :rule cnf_equiv_pos1 :args (@t203)) % 0.40/0.61 (step @p410 :rule reordering :premises (@p409) :args ((or @t202 (not @t200) (not @t203)))) % 0.40/0.61 (step @p411 :rule chain_m_resolution :premises (@p410 @p408 @p113) :args (@t202 @t110 (@list @t200 @t203))) % 0.40/0.61 (step @p412 :rule cnf_or_neg :args (@t84 1)) % 0.40/0.61 (step @p413 :rule chain_m_resolution :premises (@p412 @p77) :args ((not @t83) @t68 @t87)) % 0.40/0.61 (step @p414 :rule cnf_or_pos :args (@t202)) % 0.40/0.61 (step @p415 :rule reordering :premises (@p414) :args ((or @t83 @t99 (not @t202)))) % 0.40/0.61 (step @p416 :rule chain_m_resolution :premises (@p415 @p413 @p411) :args (@t99 @t63 (@list @t83 @t202))) % 0.40/0.61 (step @p417 :rule cnf_equiv_pos1 :args (@t104)) % 0.40/0.61 (step @p418 :rule reordering :premises (@p417) :args ((or (not @t99) @t103 (not @t104)))) % 0.40/0.61 (step @p419 :rule chain_m_resolution :premises (@p418 @p416 @p112) :args (@t103 @t110 (@list @t99 @t104))) % 0.40/0.61 (step @p420 :rule bool-double-not-elim :args (@t94)) % 0.40/0.61 (step @p421 :rule refl :args (@t204)) % 0.40/0.61 (step @p422 :rule nary_cong :premises (@p421 @p218 @p420) :args ((or @t204 @t95 (not @t98)))) % 0.40/0.61 (assume-push @p510 @t98) % 0.40/0.61 (assume-push @p511 @t103) % 0.40/0.61 (assume-push @p512 @t93) % 0.40/0.61 (step @p188 :rule evaluate :args (@t137)) % 0.40/0.61 (step @p426 :rule false_intro :premises (@p95)) % 0.40/0.61 (step @p427 :rule symm :premises (@p511)) % 0.40/0.61 (step @p226 :rule refl :args (@t92)) % 0.40/0.61 (step @p428 :rule cong :premises (@p226 @p427) :args (@t93)) % 0.40/0.61 (step @p228 :rule true_intro :premises (@p93)) % 0.40/0.61 (step @p229 :rule symm :premises (@p228)) % 0.40/0.61 (step @p429 :rule trans :premises (@p229 @p428 @p426)) % 0.40/0.61 (step @p430 false :rule eq_resolve :premises (@p429 @p188)) % 0.40/0.61 (step-pop @p513 :rule scope :premises (@p430)) % 0.40/0.61 (step-pop @p514 :rule scope :premises (@p513)) % 0.40/0.61 (step-pop @p515 :rule scope :premises (@p514)) % 0.40/0.61 (step @p431 :rule process_scope :premises (@p515) :args (false)) % 0.40/0.61 (assume-push @p516 @t103) % 0.40/0.61 (assume-push @p517 @t93) % 0.40/0.61 (assume-push @p518 @t98) % 0.40/0.61 (step @p438 :rule and_intro :premises (@p95 @p516 @p93)) % 0.40/0.61 (step-pop @p519 :rule scope :premises (@p438)) % 0.40/0.61 (step-pop @p520 :rule scope :premises (@p519)) % 0.40/0.61 (step-pop @p521 :rule scope :premises (@p520)) % 0.40/0.61 (step @p439 :rule process_scope :premises (@p521) :args (@t205)) % 0.40/0.61 (step @p443 :rule implies_elim :premises (@p439)) % 0.40/0.61 (step @p444 :rule resolution :premises (@p443 @p431) :args (true @t205)) % 0.40/0.61 (step @p445 :rule not_and :premises (@p444)) % 0.40/0.61 (step @p446 :rule eq_resolve :premises (@p445 @p422)) % 0.40/0.61 (step @p447 false :rule chain_m_resolution :premises (@p446 @p419 @p95 @p93) :args (false (@list false true false) (@list @t103 @t94 @t93))) % 0.40/0.61 ) % 0.40/0.61 % SZS output end Proof % 0.40/0.61 % cvc5 exiting %------------------------------------------------------------------------------