%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV551+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 : n001.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 08:56:06 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV551+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 % 0.16/0.34 % Computer : n001.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 18:37:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.e $$unsorted) % 0.38/0.60 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 0.38/0.60 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.60 (define @t2 () (@var "Z" $$unsorted)) % 0.38/0.60 (define @t3 () (tptp.mem @t2 @t1)) % 0.38/0.60 (define @t4 () (@var "X" $$unsorted)) % 0.38/0.60 (define @t5 () (tptp.mem @t2 @t4)) % 0.38/0.60 (define @t6 () (@list @t2)) % 0.38/0.60 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.38/0.60 (define @t8 () (tptp.subq @t4 @t1)) % 0.38/0.60 (define @t9 () (= @t8 @t7)) % 0.38/0.60 (define @t10 () (@list @t4 @t1)) % 0.38/0.60 (define @t11 () (forall @t10 @t9)) % 0.38/0.60 (define @t12 () (= @t4 @t1)) % 0.38/0.60 (define @t13 () (tptp.subq @t1 @t4)) % 0.38/0.60 (define @t14 () (@list @t4)) % 0.38/0.60 (define @t15 () (tptp.s @t1)) % 0.38/0.60 (define @t16 () (tptp.mem @t4 @t15)) % 0.38/0.60 (define @t17 () (forall @t10 (= @t16 @t12))) % 0.38/0.60 (define @t18 () (tptp.mem @t4 @t2)) % 0.38/0.60 (define @t19 () (tptp.mem @t4 @t1)) % 0.38/0.60 (define @t20 () (@list @t4 @t1 @t2)) % 0.38/0.60 (define @t21 () (tptp.p @t1)) % 0.38/0.60 (define @t22 () (tptp.mem @t4 @t21)) % 0.38/0.60 (define @t23 () (forall @t10 (= @t22 @t8))) % 0.38/0.60 (define @t24 () (tptp.subq @t4 @t21)) % 0.38/0.60 (define @t25 () (not @t24)) % 0.38/0.60 (define @t26 () (tptp.mem @t1 @t4)) % 0.38/0.60 (define @t27 () (and @t26 @t25)) % 0.38/0.60 (define @t28 () (@list @t1)) % 0.38/0.60 (define @t29 () (exists @t28 @t27)) % 0.38/0.60 (define @t30 () (tptp.atleast2p @t4)) % 0.38/0.60 (define @t31 () (= @t30 @t29)) % 0.38/0.60 (define @t32 () (forall @t14 @t31)) % 0.38/0.60 (define @t33 () (not @t8)) % 0.38/0.60 (define @t34 () (tptp.atleast2p @t1)) % 0.38/0.60 (define @t35 () (and @t13 @t34 @t33)) % 0.38/0.60 (define @t36 () (exists @t28 @t35)) % 0.38/0.60 (define @t37 () (tptp.atleast3p @t4)) % 0.38/0.60 (define @t38 () (= @t37 @t36)) % 0.38/0.60 (define @t39 () (forall @t14 @t38)) % 0.38/0.60 (define @t40 () (tptp.n tptp.e)) % 0.38/0.60 (define @t41 () (tptp.n @t40)) % 0.38/0.60 (define @t42 () (tptp.n @t41)) % 0.38/0.60 (define @t43 () (tptp.a @t40 @t41)) % 0.38/0.60 (define @t44 () (tptp.s @t43)) % 0.38/0.60 (define @t45 () (tptp.a @t44 @t42)) % 0.38/0.60 (define @t46 () (tptp.atleast3p @t45)) % 0.38/0.60 (define @t47 () (not @t46)) % 0.38/0.60 (define @t48 () (not @t34)) % 0.38/0.60 (define @t49 () (forall @t28 (or (not (tptp.subq @t1 @t45)) @t48 (tptp.subq @t45 @t1)))) % 0.38/0.60 (define @t50 () (@quantifiers_skolemize @t49 0)) % 0.38/0.60 (define @t51 () (not @t13)) % 0.38/0.60 (define @t52 () (not @t33)) % 0.38/0.60 (define @t53 () (or @t51 @t48 @t52)) % 0.38/0.60 (define @t54 () (forall @t28 (not @t35))) % 0.38/0.60 (define @t55 () (not @t54)) % 0.38/0.60 (define @t56 () (not @t49)) % 0.38/0.60 (define @t57 () (= @t46 @t56)) % 0.38/0.60 (define @t58 () (@list false false)) % 0.38/0.60 (define @t59 () (tptp.subq @t45 @t50)) % 0.38/0.60 (define @t60 () (tptp.atleast2p @t50)) % 0.38/0.60 (define @t61 () (not @t60)) % 0.38/0.60 (define @t62 () (tptp.subq @t50 @t45)) % 0.38/0.60 (define @t63 () (not @t62)) % 0.38/0.60 (define @t64 () (or @t63 @t61 @t59)) % 0.38/0.60 (define @t65 () (@list true)) % 0.38/0.60 (define @t66 () (@list @t64)) % 0.38/0.60 (define @t67 () (tptp.mem @t2 @t50)) % 0.38/0.60 (define @t68 () (tptp.mem @t2 @t45)) % 0.38/0.60 (define @t69 () (forall @t6 (or (not @t68) @t67))) % 0.38/0.60 (define @t70 () (= @t59 @t69)) % 0.38/0.60 (define @t71 () (not @t69)) % 0.38/0.60 (define @t72 () (@list true false)) % 0.38/0.60 (define @t73 () (@quantifiers_skolemize @t69 0)) % 0.38/0.60 (define @t74 () (tptp.mem @t73 @t50)) % 0.38/0.60 (define @t75 () (tptp.mem @t73 @t45)) % 0.38/0.60 (define @t76 () (not @t75)) % 0.38/0.60 (define @t77 () (or @t76 @t74)) % 0.38/0.60 (define @t78 () (not @t74)) % 0.38/0.60 (define @t79 () (@list @t77)) % 0.38/0.60 (define @t80 () (forall @t28 (or (not (tptp.mem @t1 @t50)) (tptp.subq @t50 @t21)))) % 0.38/0.60 (define @t81 () (@quantifiers_skolemize @t80 0)) % 0.38/0.60 (define @t82 () (tptp.p @t81)) % 0.38/0.60 (define @t83 () (not @t26)) % 0.38/0.60 (define @t84 () (forall @t28 (not @t27))) % 0.38/0.60 (define @t85 () (not @t84)) % 0.38/0.60 (define @t86 () (not @t80)) % 0.38/0.60 (define @t87 () (= @t60 @t86)) % 0.38/0.60 (define @t88 () (tptp.subq @t50 @t82)) % 0.38/0.60 (define @t89 () (tptp.mem @t81 @t50)) % 0.38/0.60 (define @t90 () (not @t89)) % 0.38/0.60 (define @t91 () (or @t90 @t88)) % 0.38/0.60 (define @t92 () (@list @t91)) % 0.38/0.60 (define @t93 () (not @t67)) % 0.38/0.60 (define @t94 () (forall @t6 (or @t93 (tptp.mem @t2 @t82)))) % 0.38/0.60 (define @t95 () (= @t88 @t94)) % 0.38/0.60 (define @t96 () (not @t94)) % 0.38/0.60 (define @t97 () (@quantifiers_skolemize @t94 0)) % 0.38/0.60 (define @t98 () (tptp.mem @t97 @t50)) % 0.38/0.60 (define @t99 () (tptp.mem @t97 @t82)) % 0.38/0.60 (define @t100 () (not @t98)) % 0.38/0.60 (define @t101 () (or @t100 @t99)) % 0.38/0.60 (define @t102 () (@list @t101)) % 0.38/0.60 (define @t103 () (tptp.s @t42)) % 0.38/0.60 (define @t104 () (tptp.mem @t97 @t103)) % 0.38/0.60 (define @t105 () (= @t97 @t42)) % 0.38/0.60 (define @t106 () (forall @t10 (= @t12 @t16))) % 0.38/0.60 (define @t107 () (= @t105 @t104)) % 0.38/0.60 (define @t108 () (= @t42 @t97)) % 0.38/0.60 (define @t109 () (= @t104 @t108)) % 0.38/0.60 (define @t110 () (@list false)) % 0.38/0.60 (define @t111 () (@list @t106)) % 0.38/0.60 (define @t112 () (forall @t6 (or @t93 @t68))) % 0.38/0.60 (define @t113 () (= @t62 @t112)) % 0.38/0.60 (define @t114 () (tptp.mem @t97 @t45)) % 0.38/0.60 (define @t115 () (or @t100 @t114)) % 0.38/0.60 (define @t116 () (tptp.u @t44 @t103)) % 0.38/0.60 (define @t117 () (tptp.mem @t97 @t116)) % 0.38/0.60 (define @t118 () (tptp.mem @t97 @t44)) % 0.38/0.60 (define @t119 () (or @t118 @t104)) % 0.38/0.60 (define @t120 () (= @t117 @t119)) % 0.38/0.60 (define @t121 () (= @t97 @t43)) % 0.38/0.60 (define @t122 () (= @t121 @t118)) % 0.38/0.60 (define @t123 () (= @t43 @t97)) % 0.38/0.60 (define @t124 () (= @t118 @t123)) % 0.38/0.60 (define @t125 () (@list @t97 @t81)) % 0.38/0.60 (define @t126 () (tptp.subq @t97 @t81)) % 0.38/0.60 (define @t127 () (forall @t10 (= @t8 @t22))) % 0.38/0.60 (define @t128 () (= @t126 @t99)) % 0.38/0.60 (define @t129 () (= @t99 @t126)) % 0.38/0.60 (define @t130 () (not @t126)) % 0.38/0.60 (define @t131 () (forall @t6 (or (not (tptp.mem @t2 @t97)) (tptp.mem @t2 @t81)))) % 0.38/0.60 (define @t132 () (= @t126 @t131)) % 0.38/0.60 (define @t133 () (not @t131)) % 0.38/0.60 (define @t134 () (@quantifiers_skolemize @t131 0)) % 0.38/0.60 (define @t135 () (tptp.mem @t134 @t97)) % 0.38/0.60 (define @t136 () (tptp.mem @t134 @t81)) % 0.38/0.60 (define @t137 () (not @t135)) % 0.38/0.60 (define @t138 () (or @t137 @t136)) % 0.38/0.60 (define @t139 () (@list @t138)) % 0.38/0.60 (define @t140 () (not @t136)) % 0.38/0.60 (define @t141 () (not @t123)) % 0.38/0.60 (define @t142 () (= @t43 @t81)) % 0.38/0.60 (define @t143 () (not @t142)) % 0.38/0.60 (define @t144 () (tptp.u @t40 (tptp.s @t41))) % 0.38/0.60 (define @t145 () (= @t43 @t144)) % 0.38/0.60 (define @t146 () (not @t145)) % 0.38/0.60 (define @t147 () (not @t140)) % 0.38/0.60 (define @t148 () (= false true)) % 0.38/0.60 (define @t149 () (and @t135 @t123 @t145 @t142 @t140)) % 0.38/0.60 (define @t150 () (tptp.mem @t81 @t44)) % 0.38/0.60 (define @t151 () (= @t81 @t43)) % 0.38/0.60 (define @t152 () (= @t151 @t150)) % 0.38/0.60 (define @t153 () (= @t150 @t142)) % 0.38/0.60 (define @t154 () (tptp.mem @t81 @t45)) % 0.38/0.60 (define @t155 () (or @t90 @t154)) % 0.38/0.60 (define @t156 () (tptp.mem @t81 @t116)) % 0.38/0.60 (define @t157 () (tptp.mem @t81 @t103)) % 0.38/0.60 (define @t158 () (or @t150 @t157)) % 0.38/0.60 (define @t159 () (= @t156 @t158)) % 0.38/0.60 (define @t160 () (= @t81 @t42)) % 0.38/0.60 (define @t161 () (= @t160 @t157)) % 0.38/0.60 (define @t162 () (= @t42 @t81)) % 0.38/0.60 (define @t163 () (= @t157 @t162)) % 0.38/0.60 (define @t164 () (not @t157)) % 0.38/0.60 (define @t165 () (not @t162)) % 0.38/0.60 (define @t166 () (= @t42 @t73)) % 0.38/0.60 (define @t167 () (not @t166)) % 0.38/0.60 (define @t168 () (not @t78)) % 0.38/0.60 (define @t169 () (= true false)) % 0.38/0.60 (define @t170 () (and @t78 @t166 @t162 @t89)) % 0.38/0.60 (define @t171 () (tptp.mem @t73 @t103)) % 0.38/0.60 (define @t172 () (= @t73 @t42)) % 0.38/0.60 (define @t173 () (= @t172 @t171)) % 0.38/0.60 (define @t174 () (= @t171 @t166)) % 0.38/0.60 (define @t175 () (tptp.mem @t73 @t116)) % 0.38/0.60 (define @t176 () (tptp.mem @t73 @t44)) % 0.38/0.60 (define @t177 () (or @t176 @t171)) % 0.38/0.60 (define @t178 () (= @t175 @t177)) % 0.38/0.60 (define @t179 () (= @t73 @t43)) % 0.38/0.60 (define @t180 () (= @t179 @t176)) % 0.38/0.60 (define @t181 () (= @t43 @t73)) % 0.38/0.60 (define @t182 () (= @t176 @t181)) % 0.38/0.60 (define @t183 () (not @t176)) % 0.38/0.60 (define @t184 () (not @t181)) % 0.38/0.60 (define @t185 () (and @t98 @t123 @t181 @t78)) % 0.38/0.60 (define @t186 () (not @t118)) % 0.38/0.60 (define @t187 () (not @t108)) % 0.38/0.60 (define @t188 () (and @t135 @t108 @t162 @t140)) % 0.38/0.60 (define @t189 () (and @t78 @t181 @t142 @t89)) % 0.38/0.60 (define @t190 () (and @t98 @t108 @t166 @t78)) % 0.38/0.60 (assume @p1 @t11) % 0.38/0.60 (assume @p2 (forall @t10 (=> @t8 (=> @t13 @t12)))) % 0.38/0.60 (assume @p3 (forall @t10 (= (tptp.disj @t4 @t1) (not (exists @t6 (and @t5 @t3)))))) % 0.38/0.60 (assume @p4 (forall @t14 (not (tptp.mem @t4 tptp.e)))) % 0.38/0.60 (assume @p5 @t17) % 0.38/0.60 (assume @p6 (forall @t20 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t19 @t18)))) % 0.38/0.60 (assume @p7 (forall @t20 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t19 (not @t18))))) % 0.38/0.60 (assume @p8 (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t15)))) % 0.38/0.60 (assume @p9 (forall @t14 (= (tptp.n @t4) (tptp.a @t4 @t4)))) % 0.38/0.60 (assume @p10 @t23) % 0.38/0.60 (assume @p11 @t32) % 0.38/0.60 (assume @p12 @t39) % 0.38/0.60 (assume @p13 (forall @t14 (= (tptp.atleast4p @t4) (exists @t28 (and @t13 (tptp.atleast3p @t1) @t33))))) % 0.38/0.60 (assume @p14 (forall @t14 (= (tptp.atleast5p @t4) (exists @t28 (and @t13 (tptp.atleast4p @t1) @t33))))) % 0.38/0.60 (assume @p15 (forall @t14 (= (tptp.atleast6p @t4) (exists @t28 (and @t13 (tptp.atleast5p @t1) @t33))))) % 0.38/0.60 (assume @p16 (forall @t14 (= (tptp.atleast7p @t4) (exists @t28 (and @t13 (tptp.atleast6p @t1) @t33))))) % 0.38/0.60 (assume @p17 (forall @t14 (= (tptp.atleast8p @t4) (exists @t28 (and @t13 (tptp.atleast7p @t1) @t33))))) % 0.38/0.60 (assume @p18 (forall @t14 (= (tptp.atleast9p @t4) (exists @t28 (and @t13 (tptp.atleast8p @t1) @t33))))) % 0.38/0.60 (assume @p19 (forall @t14 (= (tptp.atleast10p @t4) (exists @t28 (and @t13 (tptp.atleast9p @t1) @t33))))) % 0.38/0.60 (assume @p20 (forall @t14 (= (tptp.atleast11p @t4) (exists @t28 (and @t13 (tptp.atleast10p @t1) @t33))))) % 0.38/0.60 (assume @p21 (forall @t14 (= (tptp.atleast12p @t4) (exists @t28 (and @t13 (tptp.atleast11p @t1) @t33))))) % 0.38/0.60 (assume @p22 (forall @t14 (= (tptp.atleast13p @t4) (exists @t28 (and @t13 (tptp.atleast12p @t1) @t33))))) % 0.38/0.60 (assume @p23 (forall @t14 (= (tptp.atleast14p @t4) (exists @t28 (and @t13 (tptp.atleast13p @t1) @t33))))) % 0.38/0.60 (assume @p24 (forall @t14 (= (tptp.atleast15p @t4) (exists @t28 (and @t13 (tptp.atleast14p @t1) @t33))))) % 0.38/0.60 (assume @p25 (forall @t14 (= (tptp.atleast16p @t4) (exists @t28 (and @t13 (tptp.atleast15p @t1) @t33))))) % 0.38/0.60 (assume @p26 (not @t47)) % 0.38/0.60 (assume @p27 true) % 0.38/0.60 (step @p28 :rule bool-impl-elim :args (@t5 @t3)) % 0.38/0.60 (step @p29 :rule cong :premises (@p28) :args (@t7)) % 0.38/0.60 (step @p30 :rule refl :args (@t8)) % 0.38/0.60 (step @p31 :rule cong :premises (@p30 @p29) :args (@t9)) % 0.38/0.60 (step @p32 :rule cong :premises (@p31) :args (@t11)) % 0.38/0.60 (step @p33 :rule eq_resolve :premises (@p1 @p32)) % 0.38/0.60 (step @p34 :rule instantiate :premises (@p33) :args ((@list @t45 @t50))) % 0.38/0.60 (step @p35 :rule bool-double-not-elim :args (@t8)) % 0.38/0.60 (step @p36 :rule refl :args (@t48)) % 0.38/0.60 (step @p37 :rule refl :args (@t51)) % 0.38/0.60 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35) :args (@t53)) % 0.38/0.60 (step @p39 :rule aci_norm :args ((= (or @t51 (or @t48 @t52)) @t53))) % 0.38/0.60 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.60 (step @p41 :rule bool-and-de-morgan :args (@t34 @t33 true)) % 0.38/0.60 (step @p42 :rule nary_cong :premises (@p37 @p41) :args ((or @t51 (not (and @t34 @t33))))) % 0.38/0.60 (step @p43 :rule bool-and-de-morgan :args (@t13 @t34 (and @t33))) % 0.38/0.60 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.60 (step @p45 :rule trans :premises (@p44 @p40)) % 0.38/0.60 (step @p46 :rule cong :premises (@p45) :args (@t54)) % 0.38/0.60 (step @p47 :rule cong :premises (@p46) :args (@t55)) % 0.38/0.60 (step @p48 :rule exists-elim :args ((= @t36 @t55))) % 0.38/0.60 (step @p49 :rule trans :premises (@p48 @p47)) % 0.38/0.60 (step @p50 :rule refl :args (@t37)) % 0.38/0.60 (step @p51 :rule cong :premises (@p50 @p49) :args (@t38)) % 0.38/0.60 (step @p52 :rule cong :premises (@p51) :args (@t39)) % 0.38/0.60 (step @p53 :rule eq_resolve :premises (@p12 @p52)) % 0.38/0.60 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t45))) % 0.38/0.60 (step @p55 :rule bool-double-not-elim :args (@t46)) % 0.38/0.60 (step @p56 :rule eq_resolve :premises (@p26 @p55)) % 0.38/0.60 (step @p57 :rule cnf_equiv_pos1 :args (@t57)) % 0.38/0.60 (step @p58 :rule reordering :premises (@p57) :args ((or @t47 @t56 (not @t57)))) % 0.38/0.60 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p54) :args (@t56 @t58 (@list @t46 @t57))) % 0.38/0.60 (step @p60 :rule skolemize :premises (@p59)) % 0.38/0.60 (step @p61 :rule cnf_or_neg :args (@t64 2)) % 0.38/0.60 (step @p62 :rule chain_m_resolution :premises (@p61 @p60) :args ((not @t59) @t65 @t66)) % 0.38/0.60 (step @p63 :rule cnf_equiv_pos2 :args (@t70)) % 0.38/0.60 (step @p64 :rule reordering :premises (@p63) :args ((or @t59 @t71 (not @t70)))) % 0.38/0.60 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p34) :args (@t71 @t72 (@list @t59 @t70))) % 0.38/0.60 (step @p66 :rule skolemize :premises (@p65)) % 0.38/0.60 (step @p67 :rule cnf_or_neg :args (@t77 1)) % 0.38/0.60 (step @p68 :rule chain_m_resolution :premises (@p67 @p66) :args (@t78 @t65 @t79)) % 0.38/0.60 (step @p69 :rule instantiate :premises (@p33) :args ((@list @t50 @t82))) % 0.38/0.60 (step @p70 :rule bool-double-not-elim :args (@t24)) % 0.38/0.60 (step @p71 :rule refl :args (@t83)) % 0.38/0.60 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t83 (not @t25)))) % 0.38/0.60 (step @p73 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.38/0.60 (step @p74 :rule trans :premises (@p73 @p72)) % 0.38/0.60 (step @p75 :rule cong :premises (@p74) :args (@t84)) % 0.38/0.60 (step @p76 :rule cong :premises (@p75) :args (@t85)) % 0.38/0.60 (step @p77 :rule exists-elim :args ((= @t29 @t85))) % 0.38/0.60 (step @p78 :rule trans :premises (@p77 @p76)) % 0.38/0.60 (step @p79 :rule refl :args (@t30)) % 0.38/0.60 (step @p80 :rule cong :premises (@p79 @p78) :args (@t31)) % 0.38/0.60 (step @p81 :rule cong :premises (@p80) :args (@t32)) % 0.38/0.60 (step @p82 :rule eq_resolve :premises (@p11 @p81)) % 0.38/0.60 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t50))) % 0.38/0.60 (step @p84 :rule bool-double-not-elim :args (@t60)) % 0.38/0.60 (step @p85 :rule refl :args (@t64)) % 0.38/0.60 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t64 (not @t61)))) % 0.38/0.60 (step @p87 :rule cnf_or_neg :args (@t64 1)) % 0.38/0.60 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.38/0.60 (step @p89 :rule reordering :premises (@p88) :args ((or @t60 @t64))) % 0.38/0.60 (step @p90 :rule chain_m_resolution :premises (@p89 @p60) :args (@t60 @t65 @t66)) % 0.38/0.60 (step @p91 :rule cnf_equiv_pos1 :args (@t87)) % 0.38/0.60 (step @p92 :rule reordering :premises (@p91) :args ((or @t61 @t86 (not @t87)))) % 0.38/0.60 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p83) :args (@t86 @t58 (@list @t60 @t87))) % 0.38/0.60 (step @p94 :rule skolemize :premises (@p93)) % 0.38/0.60 (step @p95 :rule cnf_or_neg :args (@t91 1)) % 0.38/0.60 (step @p96 :rule chain_m_resolution :premises (@p95 @p94) :args ((not @t88) @t65 @t92)) % 0.38/0.60 (step @p97 :rule cnf_equiv_pos2 :args (@t95)) % 0.38/0.60 (step @p98 :rule reordering :premises (@p97) :args ((or @t88 @t96 (not @t95)))) % 0.38/0.60 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p69) :args (@t96 @t72 (@list @t88 @t95))) % 0.38/0.60 (step @p100 :rule skolemize :premises (@p99)) % 0.38/0.60 (step @p101 :rule bool-double-not-elim :args (@t98)) % 0.38/0.60 (step @p102 :rule refl :args (@t101)) % 0.38/0.60 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or @t101 (not @t100)))) % 0.38/0.60 (step @p104 :rule cnf_or_neg :args (@t101 0)) % 0.38/0.60 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 0.38/0.60 (step @p106 :rule reordering :premises (@p105) :args ((or @t98 @t101))) % 0.38/0.60 (step @p107 :rule chain_m_resolution :premises (@p106 @p100) :args (@t98 @t65 @t102)) % 0.38/0.60 (step @p108 :rule eq-symm :args (@t16 @t12)) % 0.38/0.60 (step @p109 :rule cong :premises (@p108) :args (@t17)) % 0.38/0.60 (step @p110 :rule eq_resolve :premises (@p5 @p109)) % 0.38/0.60 (step @p111 :rule eq-symm :args (@t97 @t42)) % 0.38/0.60 (step @p112 :rule refl :args (@t104)) % 0.38/0.60 (step @p113 :rule cong :premises (@p112 @p111) :args ((= @t104 @t105))) % 0.38/0.60 (step @p114 :rule eq-symm :args (@t105 @t104)) % 0.38/0.60 (step @p115 :rule trans :premises (@p114 @p113)) % 0.38/0.60 (step @p116 :rule refl :args (@t106)) % 0.38/0.60 (step @p117 :rule cong :premises (@p116 @p115) :args ((=> @t106 @t107))) % 0.38/0.60 (assume-push @p520 @t106) % 0.38/0.60 (step @p119 :rule instantiate :premises (@p110) :args ((@list @t97 @t42))) % 0.38/0.60 (step-pop @p521 :rule scope :premises (@p119)) % 0.38/0.60 (step @p120 :rule process_scope :premises (@p521) :args (@t107)) % 0.38/0.60 (step @p122 :rule eq_resolve :premises (@p120 @p117)) % 0.38/0.60 (step @p123 :rule implies_elim :premises (@p122)) % 0.38/0.60 (step @p124 :rule chain_m_resolution :premises (@p123 @p110) :args (@t109 @t110 @t111)) % 0.38/0.60 (step @p125 :rule instantiate :premises (@p6) :args ((@list @t97 @t44 @t103))) % 0.38/0.60 (step @p126 :rule instantiate :premises (@p33) :args ((@list @t50 @t45))) % 0.38/0.60 (step @p127 :rule bool-double-not-elim :args (@t62)) % 0.38/0.60 (step @p128 :rule nary_cong :premises (@p85 @p127) :args ((or @t64 (not @t63)))) % 0.38/0.60 (step @p129 :rule cnf_or_neg :args (@t64 0)) % 0.38/0.60 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 0.38/0.60 (step @p131 :rule reordering :premises (@p130) :args ((or @t62 @t64))) % 0.38/0.60 (step @p132 :rule chain_m_resolution :premises (@p131 @p60) :args (@t62 @t65 @t66)) % 0.38/0.60 (step @p133 :rule cnf_equiv_pos1 :args (@t113)) % 0.38/0.60 (step @p134 :rule reordering :premises (@p133) :args ((or @t63 @t112 (not @t113)))) % 0.38/0.60 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p126) :args (@t112 @t58 (@list @t62 @t113))) % 0.38/0.60 (step @p136 :rule instantiate :premises (@p135) :args ((@list @t97))) % 0.38/0.60 (step @p137 :rule cnf_or_pos :args (@t115)) % 0.38/0.60 (step @p138 :rule reordering :premises (@p137) :args ((or @t100 @t114 (not @t115)))) % 0.38/0.60 (step @p139 :rule chain_m_resolution :premises (@p138 @p107 @p136) :args (@t114 @t58 (@list @t98 @t115))) % 0.38/0.60 (step @p140 :rule true_intro :premises (@p139)) % 0.38/0.60 (step @p141 :rule instantiate :premises (@p8) :args ((@list @t44 @t42))) % 0.38/0.60 (step @p142 :rule symm :premises (@p141)) % 0.38/0.60 (step @p143 :rule refl :args (@t97)) % 0.38/0.60 (step @p144 :rule cong :premises (@p143 @p142) :args (@t117)) % 0.38/0.60 (step @p145 :rule trans :premises (@p144 @p140)) % 0.38/0.60 (step @p146 :rule true_elim :premises (@p145)) % 0.38/0.60 (step @p147 :rule cnf_equiv_pos1 :args (@t120)) % 0.38/0.60 (step @p148 :rule reordering :premises (@p147) :args ((or @t119 (not @t117) (not @t120)))) % 0.38/0.60 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p125) :args (@t119 @t58 (@list @t117 @t120))) % 0.38/0.60 (step @p150 :rule eq-symm :args (@t97 @t43)) % 0.38/0.60 (step @p151 :rule refl :args (@t118)) % 0.38/0.60 (step @p152 :rule cong :premises (@p151 @p150) :args ((= @t118 @t121))) % 0.38/0.60 (step @p153 :rule eq-symm :args (@t121 @t118)) % 0.38/0.60 (step @p154 :rule trans :premises (@p153 @p152)) % 0.38/0.60 (step @p155 :rule cong :premises (@p116 @p154) :args ((=> @t106 @t122))) % 0.38/0.60 (assume-push @p522 @t106) % 0.38/0.60 (step @p157 :rule instantiate :premises (@p110) :args ((@list @t97 @t43))) % 0.38/0.60 (step-pop @p523 :rule scope :premises (@p157)) % 0.38/0.60 (step @p158 :rule process_scope :premises (@p523) :args (@t122)) % 0.38/0.60 (step @p160 :rule eq_resolve :premises (@p158 @p155)) % 0.38/0.60 (step @p161 :rule implies_elim :premises (@p160)) % 0.38/0.60 (step @p162 :rule chain_m_resolution :premises (@p161 @p110) :args (@t124 @t110 @t111)) % 0.38/0.60 (step @p163 :rule instantiate :premises (@p8) :args ((@list @t40 @t41))) % 0.38/0.60 (step @p164 :rule instantiate :premises (@p33) :args (@t125)) % 0.38/0.60 (step @p165 :rule eq-symm :args (@t22 @t8)) % 0.38/0.60 (step @p166 :rule cong :premises (@p165) :args (@t23)) % 0.38/0.60 (step @p167 :rule eq_resolve :premises (@p10 @p166)) % 0.38/0.60 (step @p168 :rule eq-symm :args (@t126 @t99)) % 0.38/0.60 (step @p169 :rule refl :args (@t127)) % 0.38/0.60 (step @p170 :rule cong :premises (@p169 @p168) :args ((=> @t127 @t128))) % 0.38/0.60 (assume-push @p524 @t127) % 0.38/0.60 (step @p172 :rule instantiate :premises (@p167) :args (@t125)) % 0.38/0.60 (step-pop @p525 :rule scope :premises (@p172)) % 0.38/0.60 (step @p173 :rule process_scope :premises (@p525) :args (@t128)) % 0.38/0.60 (step @p175 :rule eq_resolve :premises (@p173 @p170)) % 0.38/0.60 (step @p176 :rule implies_elim :premises (@p175)) % 0.38/0.60 (step @p177 :rule chain_m_resolution :premises (@p176 @p167) :args (@t129 @t110 (@list @t127))) % 0.38/0.60 (step @p178 :rule cnf_or_neg :args (@t101 1)) % 0.38/0.60 (step @p179 :rule chain_m_resolution :premises (@p178 @p100) :args ((not @t99) @t65 @t102)) % 0.38/0.60 (step @p180 :rule cnf_equiv_pos2 :args (@t129)) % 0.38/0.60 (step @p181 :rule reordering :premises (@p180) :args ((or @t99 @t130 (not @t129)))) % 0.38/0.60 (step @p182 :rule chain_m_resolution :premises (@p181 @p179 @p177) :args (@t130 @t72 (@list @t99 @t129))) % 0.38/0.60 (step @p183 :rule cnf_equiv_pos2 :args (@t132)) % 0.38/0.60 (step @p184 :rule reordering :premises (@p183) :args ((or @t126 @t133 (not @t132)))) % 0.38/0.60 (step @p185 :rule chain_m_resolution :premises (@p184 @p182 @p164) :args (@t133 @t72 (@list @t126 @t132))) % 0.38/0.60 (step @p186 :rule skolemize :premises (@p185)) % 0.38/0.60 (step @p187 :rule bool-double-not-elim :args (@t135)) % 0.38/0.60 (step @p188 :rule refl :args (@t138)) % 0.38/0.60 (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((or @t138 (not @t137)))) % 0.38/0.60 (step @p190 :rule cnf_or_neg :args (@t138 0)) % 0.38/0.60 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 0.38/0.60 (step @p192 :rule reordering :premises (@p191) :args ((or @t135 @t138))) % 0.38/0.60 (step @p193 :rule chain_m_resolution :premises (@p192 @p186) :args (@t135 @t65 @t139)) % 0.38/0.60 (step @p194 :rule cnf_or_neg :args (@t138 1)) % 0.38/0.60 (step @p195 :rule chain_m_resolution :premises (@p194 @p186) :args (@t140 @t65 @t139)) % 0.38/0.60 (step @p196 :rule refl :args (@t141)) % 0.38/0.60 (step @p197 :rule bool-double-not-elim :args (@t136)) % 0.38/0.60 (step @p198 :rule refl :args (@t137)) % 0.38/0.60 (step @p199 :rule refl :args (@t143)) % 0.38/0.60 (step @p200 :rule refl :args (@t146)) % 0.38/0.60 (step @p201 :rule nary_cong :premises (@p200 @p199 @p198 @p197 @p196) :args ((or @t146 @t143 @t137 @t147 @t141))) % 0.38/0.60 (assume-push @p526 @t135) % 0.38/0.60 (assume-push @p527 @t123) % 0.38/0.60 (assume-push @p528 @t145) % 0.38/0.60 (assume-push @p529 @t142) % 0.38/0.60 (assume-push @p530 @t140) % 0.38/0.60 (step @p207 :rule evaluate :args (@t148)) % 0.38/0.60 (step @p208 :rule true_intro :premises (@p193)) % 0.38/0.60 (step @p209 :rule symm :premises (@p163)) % 0.38/0.60 (step @p210 :rule trans :premises (@p209 @p527)) % 0.38/0.60 (step @p211 :rule refl :args (@t134)) % 0.38/0.60 (step @p212 :rule cong :premises (@p211 @p210) :args ((tptp.mem @t134 @t144))) % 0.38/0.60 (step @p213 :rule symm :premises (@p529)) % 0.38/0.60 (step @p214 :rule trans :premises (@p213 @p163)) % 0.38/0.60 (step @p215 :rule cong :premises (@p211 @p214) :args (@t136)) % 0.38/0.60 (step @p216 :rule false_intro :premises (@p195)) % 0.38/0.60 (step @p217 :rule symm :premises (@p216)) % 0.38/0.60 (step @p218 :rule trans :premises (@p217 @p215 @p212 @p208)) % 0.38/0.60 (step @p219 false :rule eq_resolve :premises (@p218 @p207)) % 0.38/0.60 (step-pop @p531 :rule scope :premises (@p219)) % 0.38/0.60 (step-pop @p532 :rule scope :premises (@p531)) % 0.38/0.60 (step-pop @p533 :rule scope :premises (@p532)) % 0.38/0.60 (step-pop @p534 :rule scope :premises (@p533)) % 0.38/0.60 (step-pop @p535 :rule scope :premises (@p534)) % 0.38/0.60 (step @p220 :rule process_scope :premises (@p535) :args (false)) % 0.38/0.60 (assume-push @p536 @t145) % 0.38/0.60 (assume-push @p537 @t142) % 0.38/0.60 (assume-push @p538 @t135) % 0.38/0.60 (assume-push @p539 @t140) % 0.38/0.60 (assume-push @p540 @t123) % 0.38/0.60 (step @p231 :rule and_intro :premises (@p193 @p540 @p163 @p537 @p195)) % 0.38/0.60 (step-pop @p541 :rule scope :premises (@p231)) % 0.38/0.60 (step-pop @p542 :rule scope :premises (@p541)) % 0.38/0.60 (step-pop @p543 :rule scope :premises (@p542)) % 0.38/0.60 (step-pop @p544 :rule scope :premises (@p543)) % 0.38/0.60 (step-pop @p545 :rule scope :premises (@p544)) % 0.38/0.60 (step @p232 :rule process_scope :premises (@p545) :args (@t149)) % 0.38/0.60 (step @p238 :rule implies_elim :premises (@p232)) % 0.38/0.60 (step @p239 :rule resolution :premises (@p238 @p220) :args (true @t149)) % 0.38/0.60 (step @p240 :rule not_and :premises (@p239)) % 0.38/0.60 (step @p241 :rule eq_resolve :premises (@p240 @p201)) % 0.38/0.60 (step @p242 :rule eq-symm :args (@t81 @t43)) % 0.38/0.60 (step @p243 :rule refl :args (@t150)) % 0.38/0.60 (step @p244 :rule cong :premises (@p243 @p242) :args ((= @t150 @t151))) % 0.38/0.60 (step @p245 :rule eq-symm :args (@t151 @t150)) % 0.38/0.60 (step @p246 :rule trans :premises (@p245 @p244)) % 0.38/0.60 (step @p247 :rule cong :premises (@p116 @p246) :args ((=> @t106 @t152))) % 0.38/0.60 (assume-push @p546 @t106) % 0.38/0.60 (step @p249 :rule instantiate :premises (@p110) :args ((@list @t81 @t43))) % 0.38/0.60 (step-pop @p547 :rule scope :premises (@p249)) % 0.38/0.60 (step @p250 :rule process_scope :premises (@p547) :args (@t152)) % 0.38/0.60 (step @p252 :rule eq_resolve :premises (@p250 @p247)) % 0.38/0.60 (step @p253 :rule implies_elim :premises (@p252)) % 0.38/0.60 (step @p254 :rule chain_m_resolution :premises (@p253 @p110) :args (@t153 @t110 @t111)) % 0.38/0.60 (step @p255 :rule cnf_equiv_pos1 :args (@t153)) % 0.38/0.60 (step @p256 :rule reordering :premises (@p255) :args ((or (not @t150) @t142 (not @t153)))) % 0.38/0.60 (step @p257 :rule instantiate :premises (@p6) :args ((@list @t81 @t44 @t103))) % 0.38/0.60 (step @p258 :rule instantiate :premises (@p135) :args ((@list @t81))) % 0.38/0.60 (step @p259 :rule bool-double-not-elim :args (@t89)) % 0.38/0.60 (step @p260 :rule refl :args (@t91)) % 0.38/0.60 (step @p261 :rule nary_cong :premises (@p260 @p259) :args ((or @t91 (not @t90)))) % 0.38/0.60 (step @p262 :rule cnf_or_neg :args (@t91 0)) % 0.38/0.60 (step @p263 :rule eq_resolve :premises (@p262 @p261)) % 0.38/0.60 (step @p264 :rule reordering :premises (@p263) :args ((or @t89 @t91))) % 0.38/0.60 (step @p265 :rule chain_m_resolution :premises (@p264 @p94) :args (@t89 @t65 @t92)) % 0.38/0.60 (step @p266 :rule cnf_or_pos :args (@t155)) % 0.38/0.60 (step @p267 :rule reordering :premises (@p266) :args ((or @t90 @t154 (not @t155)))) % 0.38/0.60 (step @p268 :rule chain_m_resolution :premises (@p267 @p265 @p258) :args (@t154 @t58 (@list @t89 @t155))) % 0.38/0.60 (step @p269 :rule true_intro :premises (@p268)) % 0.38/0.60 (step @p270 :rule refl :args (@t81)) % 0.38/0.60 (step @p271 :rule cong :premises (@p270 @p142) :args (@t156)) % 0.38/0.60 (step @p272 :rule trans :premises (@p271 @p269)) % 0.38/0.60 (step @p273 :rule true_elim :premises (@p272)) % 0.38/0.60 (step @p274 :rule cnf_equiv_pos1 :args (@t159)) % 0.38/0.60 (step @p275 :rule reordering :premises (@p274) :args ((or @t158 (not @t156) (not @t159)))) % 0.38/0.60 (step @p276 :rule chain_m_resolution :premises (@p275 @p273 @p257) :args (@t158 @t58 (@list @t156 @t159))) % 0.38/0.60 (step @p277 :rule cnf_or_pos :args (@t158)) % 0.38/0.60 (step @p278 :rule reordering :premises (@p277) :args ((or @t150 @t157 (not @t158)))) % 0.38/0.60 (step @p279 :rule eq-symm :args (@t81 @t42)) % 0.38/0.60 (step @p280 :rule refl :args (@t157)) % 0.38/0.60 (step @p281 :rule cong :premises (@p280 @p279) :args ((= @t157 @t160))) % 0.38/0.60 (step @p282 :rule eq-symm :args (@t160 @t157)) % 0.38/0.60 (step @p283 :rule trans :premises (@p282 @p281)) % 0.38/0.60 (step @p284 :rule cong :premises (@p116 @p283) :args ((=> @t106 @t161))) % 0.38/0.60 (assume-push @p548 @t106) % 0.38/0.60 (step @p286 :rule instantiate :premises (@p110) :args ((@list @t81 @t42))) % 0.38/0.60 (step-pop @p549 :rule scope :premises (@p286)) % 0.38/0.60 (step @p287 :rule process_scope :premises (@p549) :args (@t161)) % 0.38/0.60 (step @p289 :rule eq_resolve :premises (@p287 @p284)) % 0.38/0.60 (step @p290 :rule implies_elim :premises (@p289)) % 0.38/0.60 (step @p291 :rule chain_m_resolution :premises (@p290 @p110) :args (@t163 @t110 @t111)) % 0.38/0.60 (step @p292 :rule cnf_equiv_pos1 :args (@t163)) % 0.38/0.60 (step @p293 :rule reordering :premises (@p292) :args ((or @t164 @t162 (not @t163)))) % 0.38/0.60 (step @p294 :rule refl :args (@t165)) % 0.38/0.60 (step @p295 :rule refl :args (@t167)) % 0.38/0.60 (step @p296 :rule refl :args (@t90)) % 0.38/0.60 (step @p297 :rule bool-double-not-elim :args (@t74)) % 0.38/0.60 (step @p298 :rule nary_cong :premises (@p297 @p296 @p295 @p294) :args ((or @t168 @t90 @t167 @t165))) % 0.38/0.60 (assume-push @p550 @t78) % 0.38/0.60 (assume-push @p551 @t166) % 0.38/0.60 (assume-push @p552 @t162) % 0.38/0.60 (assume-push @p553 @t89) % 0.38/0.60 (step @p303 :rule evaluate :args (@t169)) % 0.38/0.60 (step @p304 :rule false_intro :premises (@p68)) % 0.38/0.60 (step @p305 :rule refl :args (@t50)) % 0.38/0.60 (step @p306 :rule symm :premises (@p552)) % 0.38/0.60 (step @p307 :rule trans :premises (@p306 @p551)) % 0.38/0.60 (step @p308 :rule cong :premises (@p307 @p305) :args (@t89)) % 0.38/0.60 (step @p309 :rule true_intro :premises (@p265)) % 0.38/0.60 (step @p310 :rule symm :premises (@p309)) % 0.38/0.60 (step @p311 :rule trans :premises (@p310 @p308 @p304)) % 0.38/0.60 (step @p312 false :rule eq_resolve :premises (@p311 @p303)) % 0.38/0.60 (step-pop @p554 :rule scope :premises (@p312)) % 0.38/0.60 (step-pop @p555 :rule scope :premises (@p554)) % 0.38/0.60 (step-pop @p556 :rule scope :premises (@p555)) % 0.38/0.60 (step-pop @p557 :rule scope :premises (@p556)) % 0.38/0.60 (step @p313 :rule process_scope :premises (@p557) :args (false)) % 0.38/0.60 (assume-push @p558 @t78) % 0.38/0.60 (assume-push @p559 @t89) % 0.38/0.60 (assume-push @p560 @t166) % 0.38/0.60 (assume-push @p561 @t162) % 0.38/0.60 (step @p322 :rule and_intro :premises (@p68 @p560 @p561 @p265)) % 0.38/0.60 (step-pop @p562 :rule scope :premises (@p322)) % 0.38/0.60 (step-pop @p563 :rule scope :premises (@p562)) % 0.38/0.60 (step-pop @p564 :rule scope :premises (@p563)) % 0.38/0.60 (step-pop @p565 :rule scope :premises (@p564)) % 0.38/0.60 (step @p323 :rule process_scope :premises (@p565) :args (@t170)) % 0.38/0.60 (step @p328 :rule implies_elim :premises (@p323)) % 0.38/0.60 (step @p329 :rule resolution :premises (@p328 @p313) :args (true @t170)) % 0.38/0.60 (step @p330 :rule not_and :premises (@p329)) % 0.38/0.60 (step @p331 :rule eq_resolve :premises (@p330 @p298)) % 0.38/0.60 (step @p332 :rule eq-symm :args (@t73 @t42)) % 0.38/0.60 (step @p333 :rule refl :args (@t171)) % 0.38/0.60 (step @p334 :rule cong :premises (@p333 @p332) :args ((= @t171 @t172))) % 0.38/0.60 (step @p335 :rule eq-symm :args (@t172 @t171)) % 0.38/0.60 (step @p336 :rule trans :premises (@p335 @p334)) % 0.38/0.60 (step @p337 :rule cong :premises (@p116 @p336) :args ((=> @t106 @t173))) % 0.38/0.60 (assume-push @p566 @t106) % 0.38/0.60 (step @p339 :rule instantiate :premises (@p110) :args ((@list @t73 @t42))) % 0.38/0.60 (step-pop @p567 :rule scope :premises (@p339)) % 0.38/0.60 (step @p340 :rule process_scope :premises (@p567) :args (@t173)) % 0.38/0.60 (step @p342 :rule eq_resolve :premises (@p340 @p337)) % 0.38/0.60 (step @p343 :rule implies_elim :premises (@p342)) % 0.38/0.60 (step @p344 :rule chain_m_resolution :premises (@p343 @p110) :args (@t174 @t110 @t111)) % 0.38/0.60 (step @p345 :rule cnf_equiv_pos1 :args (@t174)) % 0.38/0.60 (step @p346 :rule reordering :premises (@p345) :args ((or (not @t171) @t166 (not @t174)))) % 0.38/0.60 (step @p347 :rule instantiate :premises (@p6) :args ((@list @t73 @t44 @t103))) % 0.38/0.60 (step @p348 :rule bool-double-not-elim :args (@t75)) % 0.38/0.60 (step @p349 :rule refl :args (@t77)) % 0.38/0.60 (step @p350 :rule nary_cong :premises (@p349 @p348) :args ((or @t77 (not @t76)))) % 0.38/0.60 (step @p351 :rule cnf_or_neg :args (@t77 0)) % 0.38/0.60 (step @p352 :rule eq_resolve :premises (@p351 @p350)) % 0.38/0.60 (step @p353 :rule reordering :premises (@p352) :args ((or @t75 @t77))) % 0.38/0.60 (step @p354 :rule chain_m_resolution :premises (@p353 @p66) :args (@t75 @t65 @t79)) % 0.38/0.60 (step @p355 :rule true_intro :premises (@p354)) % 0.38/0.60 (step @p356 :rule refl :args (@t73)) % 0.38/0.60 (step @p357 :rule cong :premises (@p356 @p142) :args (@t175)) % 0.38/0.60 (step @p358 :rule trans :premises (@p357 @p355)) % 0.38/0.60 (step @p359 :rule true_elim :premises (@p358)) % 0.38/0.60 (step @p360 :rule cnf_equiv_pos1 :args (@t178)) % 0.38/0.60 (step @p361 :rule reordering :premises (@p360) :args ((or @t177 (not @t175) (not @t178)))) % 0.38/0.60 (step @p362 :rule chain_m_resolution :premises (@p361 @p359 @p347) :args (@t177 @t58 (@list @t175 @t178))) % 0.38/0.60 (step @p363 :rule cnf_or_pos :args (@t177)) % 0.38/0.60 (step @p364 :rule reordering :premises (@p363) :args ((or @t176 @t171 (not @t177)))) % 0.38/0.60 (step @p365 :rule eq-symm :args (@t73 @t43)) % 0.38/0.60 (step @p366 :rule refl :args (@t176)) % 0.38/0.60 (step @p367 :rule cong :premises (@p366 @p365) :args ((= @t176 @t179))) % 0.38/0.60 (step @p368 :rule eq-symm :args (@t179 @t176)) % 0.38/0.60 (step @p369 :rule trans :premises (@p368 @p367)) % 0.38/0.61 (step @p370 :rule cong :premises (@p116 @p369) :args ((=> @t106 @t180))) % 0.38/0.61 (assume-push @p568 @t106) % 0.38/0.61 (step @p372 :rule instantiate :premises (@p110) :args ((@list @t73 @t43))) % 0.38/0.61 (step-pop @p569 :rule scope :premises (@p372)) % 0.38/0.61 (step @p373 :rule process_scope :premises (@p569) :args (@t180)) % 0.38/0.61 (step @p375 :rule eq_resolve :premises (@p373 @p370)) % 0.38/0.61 (step @p376 :rule implies_elim :premises (@p375)) % 0.38/0.61 (step @p377 :rule chain_m_resolution :premises (@p376 @p110) :args (@t182 @t110 @t111)) % 0.38/0.61 (step @p378 :rule cnf_equiv_pos1 :args (@t182)) % 0.38/0.61 (step @p379 :rule reordering :premises (@p378) :args ((or @t183 @t181 (not @t182)))) % 0.38/0.61 (step @p380 :rule refl :args (@t184)) % 0.38/0.61 (step @p381 :rule refl :args (@t100)) % 0.38/0.61 (step @p382 :rule nary_cong :premises (@p297 @p381 @p380 @p196) :args ((or @t168 @t100 @t184 @t141))) % 0.38/0.61 (assume-push @p570 @t98) % 0.38/0.61 (assume-push @p571 @t123) % 0.38/0.61 (assume-push @p572 @t181) % 0.38/0.61 (assume-push @p573 @t78) % 0.38/0.61 (step @p207 :rule evaluate :args (@t148)) % 0.38/0.61 (step @p387 :rule true_intro :premises (@p107)) % 0.38/0.61 (step @p305 :rule refl :args (@t50)) % 0.38/0.61 (step @p388 :rule symm :premises (@p572)) % 0.38/0.61 (step @p389 :rule trans :premises (@p388 @p571)) % 0.38/0.61 (step @p390 :rule cong :premises (@p389 @p305) :args (@t74)) % 0.38/0.61 (step @p304 :rule false_intro :premises (@p68)) % 0.38/0.61 (step @p391 :rule symm :premises (@p304)) % 0.38/0.61 (step @p392 :rule trans :premises (@p391 @p390 @p387)) % 0.38/0.61 (step @p393 false :rule eq_resolve :premises (@p392 @p207)) % 0.38/0.61 (step-pop @p574 :rule scope :premises (@p393)) % 0.38/0.61 (step-pop @p575 :rule scope :premises (@p574)) % 0.38/0.61 (step-pop @p576 :rule scope :premises (@p575)) % 0.38/0.61 (step-pop @p577 :rule scope :premises (@p576)) % 0.38/0.61 (step @p394 :rule process_scope :premises (@p577) :args (false)) % 0.38/0.61 (assume-push @p578 @t78) % 0.38/0.61 (assume-push @p579 @t98) % 0.38/0.61 (assume-push @p580 @t181) % 0.38/0.61 (assume-push @p581 @t123) % 0.38/0.61 (step @p403 :rule and_intro :premises (@p107 @p581 @p580 @p68)) % 0.38/0.61 (step-pop @p582 :rule scope :premises (@p403)) % 0.38/0.61 (step-pop @p583 :rule scope :premises (@p582)) % 0.38/0.61 (step-pop @p584 :rule scope :premises (@p583)) % 0.38/0.61 (step-pop @p585 :rule scope :premises (@p584)) % 0.38/0.61 (step @p404 :rule process_scope :premises (@p585) :args (@t185)) % 0.38/0.61 (step @p409 :rule implies_elim :premises (@p404)) % 0.38/0.61 (step @p410 :rule resolution :premises (@p409 @p394) :args (true @t185)) % 0.38/0.61 (step @p411 :rule not_and :premises (@p410)) % 0.38/0.61 (step @p412 :rule eq_resolve :premises (@p411 @p382)) % 0.38/0.61 (step @p413 :rule chain_m_resolution :premises (@p412 @p107 @p68 @p379 @p377 @p364 @p362 @p346 @p344 @p331 @p265 @p68 @p293 @p291 @p278 @p276 @p256 @p254 @p241 @p195 @p193 @p163) :args (@t141 (@list false true false false false false true false true false true false false false false true false true true false false) (@list @t98 @t74 @t181 @t182 @t176 @t177 @t171 @t174 @t166 @t89 @t74 @t162 @t163 @t157 @t158 @t150 @t153 @t142 @t136 @t135 @t145))) % 0.38/0.61 (step @p414 :rule cnf_equiv_pos1 :args (@t124)) % 0.38/0.61 (step @p415 :rule reordering :premises (@p414) :args ((or @t186 @t123 (not @t124)))) % 0.38/0.61 (step @p416 :rule chain_m_resolution :premises (@p415 @p413 @p162) :args (@t186 @t72 (@list @t123 @t124))) % 0.38/0.61 (step @p417 :rule cnf_or_pos :args (@t119)) % 0.38/0.61 (step @p418 :rule reordering :premises (@p417) :args ((or @t118 @t104 (not @t119)))) % 0.38/0.61 (step @p419 :rule chain_m_resolution :premises (@p418 @p416 @p149) :args (@t104 @t72 (@list @t118 @t119))) % 0.38/0.61 (step @p420 :rule cnf_equiv_pos1 :args (@t109)) % 0.38/0.61 (step @p421 :rule reordering :premises (@p420) :args ((or (not @t104) @t108 (not @t109)))) % 0.38/0.61 (step @p422 :rule chain_m_resolution :premises (@p421 @p419 @p124) :args (@t108 @t58 (@list @t104 @t109))) % 0.38/0.61 (step @p423 :rule refl :args (@t187)) % 0.38/0.61 (step @p424 :rule nary_cong :premises (@p294 @p198 @p197 @p423) :args ((or @t165 @t137 @t147 @t187))) % 0.38/0.61 (assume-push @p586 @t135) % 0.38/0.61 (assume-push @p587 @t108) % 0.38/0.61 (assume-push @p588 @t162) % 0.38/0.61 (assume-push @p589 @t140) % 0.38/0.61 (step @p207 :rule evaluate :args (@t148)) % 0.38/0.61 (step @p208 :rule true_intro :premises (@p193)) % 0.38/0.61 (step @p429 :rule symm :premises (@p588)) % 0.38/0.61 (step @p430 :rule trans :premises (@p429 @p587)) % 0.38/0.61 (step @p211 :rule refl :args (@t134)) % 0.38/0.61 (step @p431 :rule cong :premises (@p211 @p430) :args (@t136)) % 0.38/0.61 (step @p216 :rule false_intro :premises (@p195)) % 0.38/0.61 (step @p217 :rule symm :premises (@p216)) % 0.38/0.61 (step @p432 :rule trans :premises (@p217 @p431 @p208)) % 0.38/0.61 (step @p433 false :rule eq_resolve :premises (@p432 @p207)) % 0.38/0.61 (step-pop @p590 :rule scope :premises (@p433)) % 0.38/0.61 (step-pop @p591 :rule scope :premises (@p590)) % 0.38/0.61 (step-pop @p592 :rule scope :premises (@p591)) % 0.38/0.61 (step-pop @p593 :rule scope :premises (@p592)) % 0.38/0.61 (step @p434 :rule process_scope :premises (@p593) :args (false)) % 0.38/0.61 (assume-push @p594 @t162) % 0.38/0.61 (assume-push @p595 @t135) % 0.38/0.61 (assume-push @p596 @t140) % 0.38/0.61 (assume-push @p597 @t108) % 0.38/0.61 (step @p443 :rule and_intro :premises (@p193 @p597 @p594 @p195)) % 0.38/0.61 (step-pop @p598 :rule scope :premises (@p443)) % 0.38/0.61 (step-pop @p599 :rule scope :premises (@p598)) % 0.38/0.61 (step-pop @p600 :rule scope :premises (@p599)) % 0.38/0.61 (step-pop @p601 :rule scope :premises (@p600)) % 0.38/0.61 (step @p444 :rule process_scope :premises (@p601) :args (@t188)) % 0.38/0.61 (step @p449 :rule implies_elim :premises (@p444)) % 0.38/0.61 (step @p450 :rule resolution :premises (@p449 @p434) :args (true @t188)) % 0.38/0.61 (step @p451 :rule not_and :premises (@p450)) % 0.38/0.61 (step @p452 :rule eq_resolve :premises (@p451 @p424)) % 0.38/0.61 (step @p453 :rule chain_m_resolution :premises (@p452 @p193 @p195 @p422) :args (@t165 (@list false true false) (@list @t135 @t136 @t108))) % 0.38/0.61 (step @p454 :rule chain_m_resolution :premises (@p293 @p453 @p291) :args (@t164 @t72 (@list @t162 @t163))) % 0.38/0.61 (step @p455 :rule chain_m_resolution :premises (@p278 @p454 @p276) :args (@t150 @t72 (@list @t157 @t158))) % 0.38/0.61 (step @p456 :rule chain_m_resolution :premises (@p256 @p455 @p254) :args (@t142 @t58 (@list @t150 @t153))) % 0.38/0.61 (step @p457 :rule nary_cong :premises (@p297 @p296 @p380 @p199) :args ((or @t168 @t90 @t184 @t143))) % 0.38/0.61 (assume-push @p602 @t78) % 0.38/0.61 (assume-push @p603 @t181) % 0.38/0.61 (assume-push @p604 @t142) % 0.38/0.61 (assume-push @p605 @t89) % 0.38/0.61 (step @p303 :rule evaluate :args (@t169)) % 0.38/0.61 (step @p304 :rule false_intro :premises (@p68)) % 0.38/0.61 (step @p305 :rule refl :args (@t50)) % 0.38/0.61 (step @p462 :rule symm :premises (@p604)) % 0.38/0.61 (step @p463 :rule trans :premises (@p462 @p603)) % 0.38/0.61 (step @p464 :rule cong :premises (@p463 @p305) :args (@t89)) % 0.38/0.61 (step @p309 :rule true_intro :premises (@p265)) % 0.38/0.61 (step @p310 :rule symm :premises (@p309)) % 0.38/0.61 (step @p465 :rule trans :premises (@p310 @p464 @p304)) % 0.38/0.61 (step @p466 false :rule eq_resolve :premises (@p465 @p303)) % 0.38/0.61 (step-pop @p606 :rule scope :premises (@p466)) % 0.38/0.61 (step-pop @p607 :rule scope :premises (@p606)) % 0.38/0.61 (step-pop @p608 :rule scope :premises (@p607)) % 0.38/0.61 (step-pop @p609 :rule scope :premises (@p608)) % 0.38/0.61 (step @p467 :rule process_scope :premises (@p609) :args (false)) % 0.38/0.61 (assume-push @p610 @t78) % 0.38/0.61 (assume-push @p611 @t89) % 0.38/0.61 (assume-push @p612 @t181) % 0.38/0.61 (assume-push @p613 @t142) % 0.38/0.61 (step @p476 :rule and_intro :premises (@p68 @p612 @p613 @p265)) % 0.38/0.61 (step-pop @p614 :rule scope :premises (@p476)) % 0.38/0.61 (step-pop @p615 :rule scope :premises (@p614)) % 0.38/0.61 (step-pop @p616 :rule scope :premises (@p615)) % 0.38/0.61 (step-pop @p617 :rule scope :premises (@p616)) % 0.38/0.61 (step @p477 :rule process_scope :premises (@p617) :args (@t189)) % 0.38/0.61 (step @p482 :rule implies_elim :premises (@p477)) % 0.38/0.61 (step @p483 :rule resolution :premises (@p482 @p467) :args (true @t189)) % 0.38/0.61 (step @p484 :rule not_and :premises (@p483)) % 0.38/0.61 (step @p485 :rule eq_resolve :premises (@p484 @p457)) % 0.38/0.61 (step @p486 :rule chain_m_resolution :premises (@p485 @p68 @p265 @p456) :args (@t184 (@list true false false) (@list @t74 @t89 @t142))) % 0.38/0.61 (step @p487 :rule chain_m_resolution :premises (@p379 @p486 @p377) :args (@t183 @t72 (@list @t181 @t182))) % 0.38/0.61 (step @p488 :rule chain_m_resolution :premises (@p364 @p487 @p362) :args (@t171 @t72 (@list @t176 @t177))) % 0.38/0.61 (step @p489 :rule chain_m_resolution :premises (@p346 @p488 @p344) :args (@t166 @t58 (@list @t171 @t174))) % 0.38/0.61 (step @p490 :rule nary_cong :premises (@p297 @p381 @p295 @p423) :args ((or @t168 @t100 @t167 @t187))) % 0.38/0.61 (assume-push @p618 @t98) % 0.38/0.61 (assume-push @p619 @t108) % 0.38/0.61 (assume-push @p620 @t166) % 0.38/0.61 (assume-push @p621 @t78) % 0.38/0.61 (step @p207 :rule evaluate :args (@t148)) % 0.38/0.61 (step @p387 :rule true_intro :premises (@p107)) % 0.38/0.61 (step @p305 :rule refl :args (@t50)) % 0.38/0.61 (step @p495 :rule symm :premises (@p620)) % 0.38/0.61 (step @p496 :rule trans :premises (@p495 @p619)) % 0.38/0.61 (step @p497 :rule cong :premises (@p496 @p305) :args (@t74)) % 0.38/0.61 (step @p304 :rule false_intro :premises (@p68)) % 0.38/0.61 (step @p391 :rule symm :premises (@p304)) % 0.38/0.61 (step @p498 :rule trans :premises (@p391 @p497 @p387)) % 0.38/0.61 (step @p499 false :rule eq_resolve :premises (@p498 @p207)) % 0.38/0.61 (step-pop @p622 :rule scope :premises (@p499)) % 0.38/0.61 (step-pop @p623 :rule scope :premises (@p622)) % 0.38/0.61 (step-pop @p624 :rule scope :premises (@p623)) % 0.38/0.61 (step-pop @p625 :rule scope :premises (@p624)) % 0.38/0.61 (step @p500 :rule process_scope :premises (@p625) :args (false)) % 0.38/0.61 (assume-push @p626 @t78) % 0.38/0.61 (assume-push @p627 @t98) % 0.38/0.61 (assume-push @p628 @t166) % 0.38/0.61 (assume-push @p629 @t108) % 0.38/0.61 (step @p509 :rule and_intro :premises (@p107 @p629 @p628 @p68)) % 0.38/0.61 (step-pop @p630 :rule scope :premises (@p509)) % 0.38/0.61 (step-pop @p631 :rule scope :premises (@p630)) % 0.38/0.61 (step-pop @p632 :rule scope :premises (@p631)) % 0.38/0.61 (step-pop @p633 :rule scope :premises (@p632)) % 0.38/0.61 (step @p510 :rule process_scope :premises (@p633) :args (@t190)) % 0.38/0.61 (step @p515 :rule implies_elim :premises (@p510)) % 0.38/0.61 (step @p516 :rule resolution :premises (@p515 @p500) :args (true @t190)) % 0.38/0.61 (step @p517 :rule not_and :premises (@p516)) % 0.38/0.61 (step @p518 :rule eq_resolve :premises (@p517 @p490)) % 0.38/0.61 (step @p519 false :rule chain_m_resolution :premises (@p518 @p489 @p422 @p107 @p68) :args (false (@list false false false true) (@list @t166 @t108 @t98 @t74))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------