%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV552+1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 0.62s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV552+1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n020.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 18:36:55 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-sort $$unsorted 0) % 0.38/0.62 (declare-const tptp.atleast16p (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.atleast15p (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.atleast14p (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.atleast12p (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.atleast11p (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.atleast10p (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.atleast8p (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.atleast6p (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.atleast5p (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.atleast9p (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.disj (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.atleast2p (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.e $$unsorted) % 0.38/0.62 (declare-const tptp.u (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.atleast13p (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.subq (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.p (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.m (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.atleast7p (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.atleast3p (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.atleast4p (-> $$unsorted Bool)) % 0.38/0.62 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.62 (define @t2 () (@var "Z" $$unsorted)) % 0.38/0.62 (define @t3 () (tptp.mem @t2 @t1)) % 0.38/0.62 (define @t4 () (@var "X" $$unsorted)) % 0.38/0.62 (define @t5 () (tptp.mem @t2 @t4)) % 0.38/0.62 (define @t6 () (@list @t2)) % 0.38/0.62 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.38/0.62 (define @t8 () (tptp.subq @t4 @t1)) % 0.38/0.62 (define @t9 () (= @t8 @t7)) % 0.38/0.62 (define @t10 () (@list @t4 @t1)) % 0.38/0.62 (define @t11 () (forall @t10 @t9)) % 0.38/0.62 (define @t12 () (= @t4 @t1)) % 0.38/0.62 (define @t13 () (tptp.subq @t1 @t4)) % 0.38/0.62 (define @t14 () (@list @t4)) % 0.38/0.62 (define @t15 () (tptp.s @t1)) % 0.38/0.62 (define @t16 () (tptp.mem @t4 @t15)) % 0.38/0.62 (define @t17 () (forall @t10 (= @t16 @t12))) % 0.38/0.62 (define @t18 () (tptp.mem @t4 @t2)) % 0.38/0.62 (define @t19 () (tptp.mem @t4 @t1)) % 0.38/0.62 (define @t20 () (@list @t4 @t1 @t2)) % 0.38/0.62 (define @t21 () (tptp.p @t1)) % 0.38/0.62 (define @t22 () (tptp.mem @t4 @t21)) % 0.38/0.62 (define @t23 () (forall @t10 (= @t22 @t8))) % 0.38/0.62 (define @t24 () (tptp.subq @t4 @t21)) % 0.38/0.62 (define @t25 () (not @t24)) % 0.38/0.62 (define @t26 () (tptp.mem @t1 @t4)) % 0.38/0.62 (define @t27 () (and @t26 @t25)) % 0.38/0.62 (define @t28 () (@list @t1)) % 0.38/0.62 (define @t29 () (exists @t28 @t27)) % 0.38/0.62 (define @t30 () (tptp.atleast2p @t4)) % 0.38/0.62 (define @t31 () (= @t30 @t29)) % 0.38/0.62 (define @t32 () (forall @t14 @t31)) % 0.38/0.62 (define @t33 () (not @t8)) % 0.38/0.62 (define @t34 () (tptp.atleast2p @t1)) % 0.38/0.62 (define @t35 () (and @t13 @t34 @t33)) % 0.38/0.62 (define @t36 () (exists @t28 @t35)) % 0.38/0.62 (define @t37 () (tptp.atleast3p @t4)) % 0.38/0.62 (define @t38 () (= @t37 @t36)) % 0.38/0.62 (define @t39 () (forall @t14 @t38)) % 0.38/0.62 (define @t40 () (tptp.n tptp.e)) % 0.38/0.62 (define @t41 () (tptp.n @t40)) % 0.38/0.62 (define @t42 () (tptp.a (tptp.s (tptp.s @t40)) @t41)) % 0.38/0.62 (define @t43 () (tptp.s @t41)) % 0.38/0.62 (define @t44 () (tptp.s @t43)) % 0.38/0.62 (define @t45 () (tptp.a @t44 @t42)) % 0.38/0.62 (define @t46 () (tptp.atleast3p @t45)) % 0.38/0.62 (define @t47 () (not @t46)) % 0.38/0.62 (define @t48 () (not @t34)) % 0.38/0.62 (define @t49 () (forall @t28 (or (not (tptp.subq @t1 @t45)) @t48 (tptp.subq @t45 @t1)))) % 0.38/0.62 (define @t50 () (@quantifiers_skolemize @t49 0)) % 0.38/0.62 (define @t51 () (not @t13)) % 0.38/0.62 (define @t52 () (not @t33)) % 0.38/0.62 (define @t53 () (or @t51 @t48 @t52)) % 0.38/0.62 (define @t54 () (forall @t28 (not @t35))) % 0.38/0.62 (define @t55 () (not @t54)) % 0.38/0.62 (define @t56 () (not @t49)) % 0.38/0.62 (define @t57 () (= @t46 @t56)) % 0.38/0.62 (define @t58 () (@list false false)) % 0.38/0.62 (define @t59 () (tptp.subq @t45 @t50)) % 0.38/0.62 (define @t60 () (tptp.atleast2p @t50)) % 0.38/0.62 (define @t61 () (not @t60)) % 0.38/0.62 (define @t62 () (tptp.subq @t50 @t45)) % 0.38/0.62 (define @t63 () (not @t62)) % 0.38/0.62 (define @t64 () (or @t63 @t61 @t59)) % 0.38/0.62 (define @t65 () (@list true)) % 0.38/0.62 (define @t66 () (@list @t64)) % 0.38/0.62 (define @t67 () (tptp.mem @t2 @t50)) % 0.38/0.62 (define @t68 () (tptp.mem @t2 @t45)) % 0.38/0.62 (define @t69 () (forall @t6 (or (not @t68) @t67))) % 0.38/0.62 (define @t70 () (= @t59 @t69)) % 0.38/0.62 (define @t71 () (not @t69)) % 0.38/0.62 (define @t72 () (@list true false)) % 0.38/0.62 (define @t73 () (@quantifiers_skolemize @t69 0)) % 0.38/0.62 (define @t74 () (tptp.mem @t73 @t50)) % 0.38/0.62 (define @t75 () (tptp.mem @t73 @t45)) % 0.38/0.62 (define @t76 () (not @t75)) % 0.38/0.62 (define @t77 () (or @t76 @t74)) % 0.38/0.62 (define @t78 () (not @t74)) % 0.38/0.62 (define @t79 () (@list @t77)) % 0.38/0.62 (define @t80 () (forall @t28 (or (not (tptp.mem @t1 @t50)) (tptp.subq @t50 @t21)))) % 0.38/0.62 (define @t81 () (@quantifiers_skolemize @t80 0)) % 0.38/0.62 (define @t82 () (tptp.p @t81)) % 0.38/0.62 (define @t83 () (not @t26)) % 0.38/0.62 (define @t84 () (forall @t28 (not @t27))) % 0.38/0.62 (define @t85 () (not @t84)) % 0.38/0.62 (define @t86 () (not @t80)) % 0.38/0.62 (define @t87 () (= @t60 @t86)) % 0.38/0.62 (define @t88 () (tptp.subq @t50 @t82)) % 0.38/0.62 (define @t89 () (tptp.mem @t81 @t50)) % 0.38/0.62 (define @t90 () (not @t89)) % 0.38/0.62 (define @t91 () (or @t90 @t88)) % 0.38/0.62 (define @t92 () (@list @t91)) % 0.38/0.62 (define @t93 () (not @t67)) % 0.38/0.62 (define @t94 () (forall @t6 (or @t93 (tptp.mem @t2 @t82)))) % 0.38/0.62 (define @t95 () (= @t88 @t94)) % 0.38/0.62 (define @t96 () (not @t94)) % 0.38/0.62 (define @t97 () (@quantifiers_skolemize @t94 0)) % 0.38/0.62 (define @t98 () (tptp.mem @t97 @t50)) % 0.38/0.62 (define @t99 () (tptp.mem @t97 @t82)) % 0.38/0.62 (define @t100 () (not @t98)) % 0.38/0.62 (define @t101 () (or @t100 @t99)) % 0.38/0.62 (define @t102 () (@list @t101)) % 0.38/0.62 (define @t103 () (tptp.s @t42)) % 0.38/0.62 (define @t104 () (tptp.mem @t97 @t103)) % 0.38/0.62 (define @t105 () (= @t97 @t42)) % 0.38/0.62 (define @t106 () (forall @t10 (= @t12 @t16))) % 0.38/0.62 (define @t107 () (= @t105 @t104)) % 0.38/0.62 (define @t108 () (= @t42 @t97)) % 0.38/0.62 (define @t109 () (= @t104 @t108)) % 0.38/0.62 (define @t110 () (@list false)) % 0.38/0.62 (define @t111 () (@list @t106)) % 0.38/0.62 (define @t112 () (forall @t6 (or @t93 @t68))) % 0.38/0.62 (define @t113 () (= @t62 @t112)) % 0.38/0.62 (define @t114 () (tptp.mem @t97 @t45)) % 0.38/0.62 (define @t115 () (or @t100 @t114)) % 0.38/0.62 (define @t116 () (tptp.u @t44 @t103)) % 0.38/0.62 (define @t117 () (tptp.mem @t97 @t116)) % 0.38/0.62 (define @t118 () (tptp.mem @t97 @t44)) % 0.38/0.62 (define @t119 () (or @t118 @t104)) % 0.38/0.62 (define @t120 () (= @t117 @t119)) % 0.38/0.62 (define @t121 () (= @t97 @t43)) % 0.38/0.62 (define @t122 () (= @t121 @t118)) % 0.38/0.62 (define @t123 () (= @t43 @t97)) % 0.38/0.62 (define @t124 () (= @t118 @t123)) % 0.38/0.62 (define @t125 () (@list @t97 @t81)) % 0.38/0.62 (define @t126 () (tptp.subq @t97 @t81)) % 0.38/0.62 (define @t127 () (forall @t10 (= @t8 @t22))) % 0.38/0.62 (define @t128 () (= @t126 @t99)) % 0.38/0.62 (define @t129 () (= @t99 @t126)) % 0.38/0.62 (define @t130 () (not @t126)) % 0.38/0.62 (define @t131 () (forall @t6 (or (not (tptp.mem @t2 @t97)) (tptp.mem @t2 @t81)))) % 0.38/0.62 (define @t132 () (= @t126 @t131)) % 0.38/0.62 (define @t133 () (not @t131)) % 0.38/0.62 (define @t134 () (@quantifiers_skolemize @t131 0)) % 0.38/0.62 (define @t135 () (tptp.mem @t134 @t97)) % 0.38/0.62 (define @t136 () (tptp.mem @t134 @t81)) % 0.38/0.62 (define @t137 () (not @t135)) % 0.38/0.62 (define @t138 () (or @t137 @t136)) % 0.38/0.62 (define @t139 () (@list @t138)) % 0.38/0.62 (define @t140 () (not @t136)) % 0.38/0.62 (define @t141 () (not @t123)) % 0.38/0.62 (define @t142 () (= @t43 @t81)) % 0.38/0.62 (define @t143 () (not @t142)) % 0.38/0.62 (define @t144 () (not @t140)) % 0.38/0.62 (define @t145 () (= false true)) % 0.38/0.62 (define @t146 () (and @t135 @t123 @t142 @t140)) % 0.38/0.62 (define @t147 () (tptp.mem @t81 @t44)) % 0.38/0.62 (define @t148 () (= @t81 @t43)) % 0.38/0.62 (define @t149 () (= @t148 @t147)) % 0.38/0.62 (define @t150 () (= @t147 @t142)) % 0.38/0.62 (define @t151 () (tptp.mem @t81 @t45)) % 0.38/0.62 (define @t152 () (or @t90 @t151)) % 0.38/0.62 (define @t153 () (tptp.mem @t81 @t116)) % 0.38/0.62 (define @t154 () (tptp.mem @t81 @t103)) % 0.38/0.62 (define @t155 () (or @t147 @t154)) % 0.38/0.62 (define @t156 () (= @t153 @t155)) % 0.38/0.62 (define @t157 () (= @t81 @t42)) % 0.38/0.62 (define @t158 () (= @t157 @t154)) % 0.38/0.62 (define @t159 () (= @t42 @t81)) % 0.38/0.62 (define @t160 () (= @t154 @t159)) % 0.38/0.62 (define @t161 () (not @t154)) % 0.38/0.62 (define @t162 () (not @t159)) % 0.38/0.62 (define @t163 () (= @t42 @t73)) % 0.38/0.62 (define @t164 () (not @t163)) % 0.38/0.62 (define @t165 () (not @t78)) % 0.38/0.62 (define @t166 () (= true false)) % 0.38/0.62 (define @t167 () (and @t78 @t163 @t159 @t89)) % 0.38/0.62 (define @t168 () (tptp.mem @t73 @t103)) % 0.38/0.62 (define @t169 () (= @t73 @t42)) % 0.38/0.62 (define @t170 () (= @t169 @t168)) % 0.38/0.62 (define @t171 () (= @t168 @t163)) % 0.38/0.62 (define @t172 () (tptp.mem @t73 @t116)) % 0.38/0.62 (define @t173 () (tptp.mem @t73 @t44)) % 0.38/0.62 (define @t174 () (or @t173 @t168)) % 0.38/0.62 (define @t175 () (= @t172 @t174)) % 0.38/0.62 (define @t176 () (= @t73 @t43)) % 0.38/0.62 (define @t177 () (= @t176 @t173)) % 0.38/0.62 (define @t178 () (= @t43 @t73)) % 0.38/0.62 (define @t179 () (= @t173 @t178)) % 0.38/0.62 (define @t180 () (not @t173)) % 0.38/0.62 (define @t181 () (not @t178)) % 0.38/0.62 (define @t182 () (and @t98 @t123 @t178 @t78)) % 0.38/0.62 (define @t183 () (not @t118)) % 0.38/0.62 (define @t184 () (not @t108)) % 0.38/0.62 (define @t185 () (and @t135 @t108 @t159 @t140)) % 0.38/0.62 (define @t186 () (and @t78 @t178 @t142 @t89)) % 0.38/0.62 (define @t187 () (and @t98 @t108 @t163 @t78)) % 0.38/0.62 (assume @p1 @t11) % 0.38/0.62 (assume @p2 (forall @t10 (=> @t8 (=> @t13 @t12)))) % 0.38/0.62 (assume @p3 (forall @t10 (= (tptp.disj @t4 @t1) (not (exists @t6 (and @t5 @t3)))))) % 0.38/0.62 (assume @p4 (forall @t14 (not (tptp.mem @t4 tptp.e)))) % 0.38/0.62 (assume @p5 @t17) % 0.38/0.62 (assume @p6 (forall @t20 (= (tptp.mem @t4 (tptp.u @t1 @t2)) (or @t19 @t18)))) % 0.38/0.62 (assume @p7 (forall @t20 (= (tptp.mem @t4 (tptp.m @t1 @t2)) (and @t19 (not @t18))))) % 0.38/0.62 (assume @p8 (forall @t10 (= (tptp.a @t4 @t1) (tptp.u @t4 @t15)))) % 0.38/0.62 (assume @p9 (forall @t14 (= (tptp.n @t4) (tptp.a @t4 @t4)))) % 0.38/0.62 (assume @p10 @t23) % 0.38/0.62 (assume @p11 @t32) % 0.38/0.62 (assume @p12 @t39) % 0.38/0.62 (assume @p13 (forall @t14 (= (tptp.atleast4p @t4) (exists @t28 (and @t13 (tptp.atleast3p @t1) @t33))))) % 0.38/0.62 (assume @p14 (forall @t14 (= (tptp.atleast5p @t4) (exists @t28 (and @t13 (tptp.atleast4p @t1) @t33))))) % 0.38/0.62 (assume @p15 (forall @t14 (= (tptp.atleast6p @t4) (exists @t28 (and @t13 (tptp.atleast5p @t1) @t33))))) % 0.38/0.62 (assume @p16 (forall @t14 (= (tptp.atleast7p @t4) (exists @t28 (and @t13 (tptp.atleast6p @t1) @t33))))) % 0.38/0.62 (assume @p17 (forall @t14 (= (tptp.atleast8p @t4) (exists @t28 (and @t13 (tptp.atleast7p @t1) @t33))))) % 0.38/0.62 (assume @p18 (forall @t14 (= (tptp.atleast9p @t4) (exists @t28 (and @t13 (tptp.atleast8p @t1) @t33))))) % 0.38/0.62 (assume @p19 (forall @t14 (= (tptp.atleast10p @t4) (exists @t28 (and @t13 (tptp.atleast9p @t1) @t33))))) % 0.38/0.62 (assume @p20 (forall @t14 (= (tptp.atleast11p @t4) (exists @t28 (and @t13 (tptp.atleast10p @t1) @t33))))) % 0.38/0.62 (assume @p21 (forall @t14 (= (tptp.atleast12p @t4) (exists @t28 (and @t13 (tptp.atleast11p @t1) @t33))))) % 0.38/0.62 (assume @p22 (forall @t14 (= (tptp.atleast13p @t4) (exists @t28 (and @t13 (tptp.atleast12p @t1) @t33))))) % 0.38/0.62 (assume @p23 (forall @t14 (= (tptp.atleast14p @t4) (exists @t28 (and @t13 (tptp.atleast13p @t1) @t33))))) % 0.38/0.62 (assume @p24 (forall @t14 (= (tptp.atleast15p @t4) (exists @t28 (and @t13 (tptp.atleast14p @t1) @t33))))) % 0.38/0.62 (assume @p25 (forall @t14 (= (tptp.atleast16p @t4) (exists @t28 (and @t13 (tptp.atleast15p @t1) @t33))))) % 0.38/0.62 (assume @p26 (not @t47)) % 0.38/0.62 (assume @p27 true) % 0.38/0.62 (step @p28 :rule bool-impl-elim :args (@t5 @t3)) % 0.38/0.62 (step @p29 :rule cong :premises (@p28) :args (@t7)) % 0.38/0.62 (step @p30 :rule refl :args (@t8)) % 0.38/0.62 (step @p31 :rule cong :premises (@p30 @p29) :args (@t9)) % 0.38/0.62 (step @p32 :rule cong :premises (@p31) :args (@t11)) % 0.38/0.62 (step @p33 :rule eq_resolve :premises (@p1 @p32)) % 0.38/0.62 (step @p34 :rule instantiate :premises (@p33) :args ((@list @t45 @t50))) % 0.38/0.62 (step @p35 :rule bool-double-not-elim :args (@t8)) % 0.38/0.62 (step @p36 :rule refl :args (@t48)) % 0.38/0.62 (step @p37 :rule refl :args (@t51)) % 0.38/0.62 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35) :args (@t53)) % 0.38/0.62 (step @p39 :rule aci_norm :args ((= (or @t51 (or @t48 @t52)) @t53))) % 0.38/0.62 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.62 (step @p41 :rule bool-and-de-morgan :args (@t34 @t33 true)) % 0.38/0.62 (step @p42 :rule nary_cong :premises (@p37 @p41) :args ((or @t51 (not (and @t34 @t33))))) % 0.38/0.62 (step @p43 :rule bool-and-de-morgan :args (@t13 @t34 (and @t33))) % 0.38/0.62 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.62 (step @p45 :rule trans :premises (@p44 @p40)) % 0.38/0.62 (step @p46 :rule cong :premises (@p45) :args (@t54)) % 0.38/0.62 (step @p47 :rule cong :premises (@p46) :args (@t55)) % 0.38/0.62 (step @p48 :rule exists-elim :args ((= @t36 @t55))) % 0.38/0.62 (step @p49 :rule trans :premises (@p48 @p47)) % 0.38/0.62 (step @p50 :rule refl :args (@t37)) % 0.38/0.62 (step @p51 :rule cong :premises (@p50 @p49) :args (@t38)) % 0.38/0.62 (step @p52 :rule cong :premises (@p51) :args (@t39)) % 0.38/0.62 (step @p53 :rule eq_resolve :premises (@p12 @p52)) % 0.38/0.62 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t45))) % 0.38/0.62 (step @p55 :rule bool-double-not-elim :args (@t46)) % 0.38/0.62 (step @p56 :rule eq_resolve :premises (@p26 @p55)) % 0.38/0.62 (step @p57 :rule cnf_equiv_pos1 :args (@t57)) % 0.38/0.62 (step @p58 :rule reordering :premises (@p57) :args ((or @t47 @t56 (not @t57)))) % 0.38/0.62 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p54) :args (@t56 @t58 (@list @t46 @t57))) % 0.38/0.62 (step @p60 :rule skolemize :premises (@p59)) % 0.38/0.62 (step @p61 :rule cnf_or_neg :args (@t64 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(step-pop @p604 :rule scope :premises (@p603)) % 0.38/0.62 (step @p468 :rule process_scope :premises (@p604) :args (@t186)) % 0.38/0.62 (step @p473 :rule implies_elim :premises (@p468)) % 0.38/0.62 (step @p474 :rule resolution :premises (@p473 @p458) :args (true @t186)) % 0.38/0.62 (step @p475 :rule not_and :premises (@p474)) % 0.38/0.62 (step @p476 :rule eq_resolve :premises (@p475 @p448)) % 0.38/0.62 (step @p477 :rule chain_m_resolution :premises (@p476 @p68 @p256 @p447) :args (@t181 (@list true false false) (@list @t74 @t89 @t142))) % 0.38/0.62 (step @p478 :rule chain_m_resolution :premises (@p370 @p477 @p368) :args (@t180 @t72 (@list @t178 @t179))) % 0.38/0.62 (step @p479 :rule chain_m_resolution :premises (@p355 @p478 @p353) :args (@t168 @t72 (@list @t173 @t174))) % 0.38/0.62 (step @p480 :rule chain_m_resolution :premises (@p337 @p479 @p335) :args (@t163 @t58 (@list @t168 @t171))) % 0.38/0.62 (step @p481 :rule nary_cong :premises (@p288 @p372 @p286 @p414) :args ((or @t165 @t100 @t164 @t184))) % 0.38/0.62 (assume-push @p605 @t98) % 0.38/0.62 (assume-push @p606 @t108) % 0.38/0.62 (assume-push @p607 @t163) % 0.38/0.62 (assume-push @p608 @t78) % 0.38/0.62 (step @p204 :rule evaluate :args (@t145)) % 0.38/0.62 (step @p378 :rule true_intro :premises (@p107)) % 0.38/0.62 (step @p296 :rule refl :args (@t50)) % 0.38/0.62 (step @p486 :rule symm :premises (@p607)) % 0.38/0.62 (step @p487 :rule trans :premises (@p486 @p606)) % 0.38/0.62 (step @p488 :rule cong :premises (@p487 @p296) :args (@t74)) % 0.38/0.62 (step @p295 :rule false_intro :premises (@p68)) % 0.38/0.62 (step @p382 :rule symm :premises (@p295)) % 0.38/0.62 (step @p489 :rule trans :premises (@p382 @p488 @p378)) % 0.38/0.62 (step @p490 false :rule eq_resolve :premises (@p489 @p204)) % 0.38/0.62 (step-pop @p609 :rule scope :premises (@p490)) % 0.38/0.62 (step-pop @p610 :rule scope :premises (@p609)) % 0.38/0.62 (step-pop @p611 :rule scope :premises (@p610)) % 0.38/0.62 (step-pop @p612 :rule scope :premises 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(false (@list false false false true) (@list @t163 @t108 @t98 @t74))) % 0.38/0.62 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------