%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP122+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:36:43 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NLP122+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n015.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 10:05:49 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.actual_world (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.of (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.city (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.hollywood_placename (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.down (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.barrel (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.present (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.agent (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.event (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.lonely (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.street (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.old (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.dirty (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.white (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.chevy (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.placename (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (define @t1 () (@var "W" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "Y" $$unsorted)) % 0.37/0.58 (define @t3 () (@var "U" $$unsorted)) % 0.37/0.58 (define @t4 () (tptp.in @t3 @t2 @t1)) % 0.37/0.58 (define @t5 () (@var "X" $$unsorted)) % 0.37/0.58 (define @t6 () (tptp.down @t3 @t2 @t5)) % 0.37/0.58 (define @t7 () (tptp.barrel @t3 @t2)) % 0.37/0.58 (define @t8 () (tptp.present @t3 @t2)) % 0.37/0.58 (define @t9 () (tptp.agent @t3 @t2 @t1)) % 0.37/0.58 (define @t10 () (tptp.event @t3 @t2)) % 0.37/0.58 (define @t11 () (tptp.lonely @t3 @t5)) % 0.37/0.58 (define @t12 () (tptp.street @t3 @t5)) % 0.37/0.58 (define @t13 () (tptp.old @t3 @t1)) % 0.37/0.58 (define @t14 () (tptp.dirty @t3 @t1)) % 0.37/0.58 (define @t15 () (tptp.white @t3 @t1)) % 0.37/0.58 (define @t16 () (tptp.chevy @t3 @t1)) % 0.37/0.58 (define @t17 () (@var "V" $$unsorted)) % 0.37/0.58 (define @t18 () (tptp.placename @t3 @t17)) % 0.37/0.58 (define @t19 () (tptp.hollywood_placename @t3 @t17)) % 0.37/0.58 (define @t20 () (tptp.city @t3 @t1)) % 0.37/0.58 (define @t21 () (tptp.of @t3 @t17 @t1)) % 0.37/0.58 (define @t22 () (and @t21 @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t4)) % 0.37/0.58 (define @t23 () (@list @t17 @t1 @t5 @t2)) % 0.37/0.58 (define @t24 () (exists @t23 @t22)) % 0.37/0.58 (define @t25 () (tptp.actual_world @t3)) % 0.37/0.58 (define @t26 () (and @t25 @t24)) % 0.37/0.58 (define @t27 () (@list @t3)) % 0.37/0.58 (define @t28 () (exists @t27 @t26)) % 0.37/0.58 (define @t29 () (@var "X3" $$unsorted)) % 0.37/0.58 (define @t30 () (@var "X4" $$unsorted)) % 0.37/0.58 (define @t31 () (@var "Z" $$unsorted)) % 0.37/0.58 (define @t32 () (tptp.in @t31 @t30 @t29)) % 0.37/0.58 (define @t33 () (@var "X1" $$unsorted)) % 0.37/0.58 (define @t34 () (tptp.down @t31 @t30 @t33)) % 0.37/0.58 (define @t35 () (tptp.barrel @t31 @t30)) % 0.37/0.58 (define @t36 () (tptp.present @t31 @t30)) % 0.37/0.58 (define @t37 () (tptp.agent @t31 @t30 @t29)) % 0.37/0.58 (define @t38 () (tptp.event @t31 @t30)) % 0.37/0.58 (define @t39 () (tptp.old @t31 @t29)) % 0.37/0.58 (define @t40 () (tptp.dirty @t31 @t29)) % 0.37/0.58 (define @t41 () (tptp.white @t31 @t29)) % 0.37/0.58 (define @t42 () (tptp.chevy @t31 @t29)) % 0.37/0.58 (define @t43 () (@var "X2" $$unsorted)) % 0.37/0.58 (define @t44 () (tptp.placename @t31 @t43)) % 0.37/0.58 (define @t45 () (tptp.hollywood_placename @t31 @t43)) % 0.37/0.58 (define @t46 () (tptp.city @t31 @t29)) % 0.37/0.58 (define @t47 () (tptp.of @t31 @t43 @t29)) % 0.37/0.58 (define @t48 () (tptp.lonely @t31 @t33)) % 0.37/0.58 (define @t49 () (tptp.street @t31 @t33)) % 0.37/0.58 (define @t50 () (and @t49 @t48 @t47 @t46 @t45 @t44 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t32)) % 0.37/0.58 (define @t51 () (@list @t33 @t43 @t29 @t30)) % 0.37/0.58 (define @t52 () (exists @t51 @t50)) % 0.37/0.58 (define @t53 () (tptp.actual_world @t31)) % 0.37/0.58 (define @t54 () (and @t53 @t52)) % 0.37/0.58 (define @t55 () (@list @t31)) % 0.37/0.58 (define @t56 () (exists @t55 @t54)) % 0.37/0.58 (define @t57 () (=> @t56 @t28)) % 0.37/0.58 (define @t58 () (=> @t28 @t56)) % 0.37/0.58 (define @t59 () (and @t58 @t57)) % 0.37/0.58 (define @t60 () (not @t59)) % 0.37/0.58 (define @t61 () (not (not @t60))) % 0.37/0.58 (define @t62 () (@var "BOUND_VARIABLE_7600" $$unsorted)) % 0.37/0.58 (define @t63 () (@var "BOUND_VARIABLE_7602" $$unsorted)) % 0.37/0.58 (define @t64 () (not (tptp.in @t31 @t63 @t62))) % 0.37/0.58 (define @t65 () (@var "BOUND_VARIABLE_7596" $$unsorted)) % 0.37/0.58 (define @t66 () (not (tptp.down @t31 @t63 @t65))) % 0.37/0.58 (define @t67 () (not (tptp.barrel @t31 @t63))) % 0.37/0.58 (define @t68 () (not (tptp.present @t31 @t63))) % 0.37/0.58 (define @t69 () (not (tptp.agent @t31 @t63 @t62))) % 0.37/0.58 (define @t70 () (not (tptp.event @t31 @t63))) % 0.37/0.58 (define @t71 () (not (tptp.lonely @t31 @t65))) % 0.37/0.58 (define @t72 () (not (tptp.street @t31 @t65))) % 0.37/0.58 (define @t73 () (not (tptp.old @t31 @t62))) % 0.37/0.58 (define @t74 () (not (tptp.dirty @t31 @t62))) % 0.37/0.58 (define @t75 () (not (tptp.white @t31 @t62))) % 0.37/0.58 (define @t76 () (not (tptp.chevy @t31 @t62))) % 0.37/0.58 (define @t77 () (@var "BOUND_VARIABLE_7598" $$unsorted)) % 0.37/0.58 (define @t78 () (not (tptp.placename @t31 @t77))) % 0.37/0.58 (define @t79 () (not (tptp.hollywood_placename @t31 @t77))) % 0.37/0.58 (define @t80 () (not (tptp.city @t31 @t62))) % 0.37/0.58 (define @t81 () (not (tptp.of @t31 @t77 @t62))) % 0.37/0.58 (define @t82 () (not @t53)) % 0.37/0.58 (define @t83 () (or @t82 @t81 @t80 @t79 @t78 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t68 @t67 @t66 @t64)) % 0.37/0.58 (define @t84 () (or @t82 @t72 @t71 @t81 @t80 @t79 @t78 @t76 @t75 @t74 @t73 @t70 @t69 @t68 @t67 @t66 @t64)) % 0.37/0.58 (define @t85 () (@list @t31 @t65 @t77 @t62 @t63)) % 0.37/0.58 (define @t86 () (forall @t85 @t84)) % 0.37/0.58 (define @t87 () (forall @t85 @t83)) % 0.37/0.58 (define @t88 () (@var "BOUND_VARIABLE_7521" $$unsorted)) % 0.37/0.58 (define @t89 () (@var "BOUND_VARIABLE_7525" $$unsorted)) % 0.37/0.58 (define @t90 () (not (tptp.in @t3 @t89 @t88))) % 0.37/0.58 (define @t91 () (@var "BOUND_VARIABLE_7523" $$unsorted)) % 0.37/0.58 (define @t92 () (not (tptp.down @t3 @t89 @t91))) % 0.37/0.58 (define @t93 () (not (tptp.barrel @t3 @t89))) % 0.37/0.58 (define @t94 () (not (tptp.present @t3 @t89))) % 0.37/0.58 (define @t95 () (not (tptp.agent @t3 @t89 @t88))) % 0.37/0.58 (define @t96 () (not (tptp.event @t3 @t89))) % 0.37/0.58 (define @t97 () (not (tptp.lonely @t3 @t91))) % 0.37/0.58 (define @t98 () (not (tptp.street @t3 @t91))) % 0.37/0.58 (define @t99 () (not (tptp.old @t3 @t88))) % 0.37/0.58 (define @t100 () (not (tptp.dirty @t3 @t88))) % 0.37/0.58 (define @t101 () (not (tptp.white @t3 @t88))) % 0.37/0.58 (define @t102 () (not (tptp.chevy @t3 @t88))) % 0.37/0.58 (define @t103 () (@var "BOUND_VARIABLE_7519" $$unsorted)) % 0.37/0.58 (define @t104 () (not (tptp.placename @t3 @t103))) % 0.37/0.58 (define @t105 () (not (tptp.hollywood_placename @t3 @t103))) % 0.37/0.58 (define @t106 () (not (tptp.city @t3 @t88))) % 0.37/0.58 (define @t107 () (not (tptp.of @t3 @t103 @t88))) % 0.37/0.58 (define @t108 () (not @t25)) % 0.37/0.58 (define @t109 () (or @t108 @t107 @t106 @t105 @t104 @t102 @t101 @t100 @t99 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90)) % 0.37/0.58 (define @t110 () (@list @t3 @t103 @t88 @t91 @t89)) % 0.37/0.58 (define @t111 () (forall @t110 @t109)) % 0.37/0.58 (define @t112 () (not @t111)) % 0.37/0.58 (define @t113 () (not @t86)) % 0.37/0.58 (define @t114 () (=> @t113 @t112)) % 0.37/0.58 (define @t115 () (=> @t112 @t113)) % 0.37/0.58 (define @t116 () (or @t107 @t106 @t105 @t104 @t102 @t101 @t100 @t99 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90)) % 0.37/0.58 (define @t117 () (or @t108 @t116)) % 0.37/0.58 (define @t118 () (forall @t110 @t117)) % 0.37/0.58 (define @t119 () (@list @t103 @t88 @t91 @t89)) % 0.37/0.58 (define @t120 () (forall @t119 @t117)) % 0.37/0.58 (define @t121 () (forall @t119 @t116)) % 0.37/0.58 (define @t122 () (or @t108 @t121)) % 0.37/0.58 (define @t123 () (not @t4)) % 0.37/0.58 (define @t124 () (not @t6)) % 0.37/0.58 (define @t125 () (not @t7)) % 0.37/0.58 (define @t126 () (not @t8)) % 0.37/0.58 (define @t127 () (not @t9)) % 0.37/0.58 (define @t128 () (not @t10)) % 0.37/0.58 (define @t129 () (not @t11)) % 0.37/0.58 (define @t130 () (not @t12)) % 0.37/0.58 (define @t131 () (not @t13)) % 0.37/0.58 (define @t132 () (not @t14)) % 0.37/0.58 (define @t133 () (not @t15)) % 0.37/0.58 (define @t134 () (not @t16)) % 0.37/0.58 (define @t135 () (not @t18)) % 0.37/0.58 (define @t136 () (not @t19)) % 0.37/0.58 (define @t137 () (not @t20)) % 0.37/0.58 (define @t138 () (not @t21)) % 0.37/0.58 (define @t139 () (or @t138 @t137 @t136 @t135 @t134 @t133 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123)) % 0.37/0.58 (define @t140 () (forall @t23 @t139)) % 0.37/0.58 (define @t141 () (not @t140)) % 0.37/0.58 (define @t142 () (and @t25 @t141)) % 0.37/0.58 (define @t143 () (forall @t27 (not @t142))) % 0.37/0.58 (define @t144 () (not @t143)) % 0.37/0.58 (define @t145 () (forall @t23 (not @t22))) % 0.37/0.58 (define @t146 () (not @t145)) % 0.37/0.58 (define @t147 () (or @t72 @t71 @t81 @t80 @t79 @t78 @t76 @t75 @t74 @t73 @t70 @t69 @t68 @t67 @t66 @t64)) % 0.37/0.58 (define @t148 () (or @t82 @t147)) % 0.37/0.58 (define @t149 () (forall @t85 @t148)) % 0.37/0.58 (define @t150 () (@list @t65 @t77 @t62 @t63)) % 0.37/0.58 (define @t151 () (forall @t150 @t148)) % 0.37/0.58 (define @t152 () (forall @t150 @t147)) % 0.37/0.58 (define @t153 () (or @t82 @t152)) % 0.37/0.58 (define @t154 () (not @t32)) % 0.37/0.58 (define @t155 () (not @t34)) % 0.37/0.58 (define @t156 () (not @t35)) % 0.37/0.58 (define @t157 () (not @t36)) % 0.37/0.58 (define @t158 () (not @t37)) % 0.37/0.58 (define @t159 () (not @t38)) % 0.37/0.58 (define @t160 () (not @t39)) % 0.37/0.58 (define @t161 () (not @t40)) % 0.37/0.58 (define @t162 () (not @t41)) % 0.37/0.58 (define @t163 () (not @t42)) % 0.37/0.58 (define @t164 () (not @t44)) % 0.37/0.58 (define @t165 () (not @t45)) % 0.37/0.58 (define @t166 () (not @t46)) % 0.37/0.58 (define @t167 () (not @t47)) % 0.37/0.58 (define @t168 () (not @t48)) % 0.37/0.58 (define @t169 () (not @t49)) % 0.37/0.58 (define @t170 () (or @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t156 @t155 @t154)) % 0.37/0.58 (define @t171 () (forall @t51 @t170)) % 0.37/0.58 (define @t172 () (not @t171)) % 0.37/0.58 (define @t173 () (and @t53 @t172)) % 0.37/0.58 (define @t174 () (forall @t55 (not @t173))) % 0.37/0.58 (define @t175 () (not @t174)) % 0.37/0.58 (define @t176 () (forall @t51 (not @t50))) % 0.37/0.58 (define @t177 () (not @t176)) % 0.37/0.58 (define @t178 () (@list false)) % 0.37/0.58 (define @t179 () (@list @t111)) % 0.37/0.58 (assume @p1 @t61) % 0.37/0.58 (assume @p2 true) % 0.37/0.58 (step @p3 :rule aci_norm :args ((= @t84 @t83))) % 0.37/0.58 (step @p4 :rule cong :premises (@p3) :args (@t86)) % 0.37/0.58 (step @p5 :rule symm :premises (@p4)) % 0.37/0.58 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t87 @t86))) % 0.37/0.58 (step @p7 :rule true_elim :premises (@p6)) % 0.37/0.58 (step @p8 :rule quant_var_reordering :args ((= (forall (@list @t31 @t77 @t62 @t65 @t63) @t83) @t87))) % 0.37/0.58 (step @p9 :rule alpha_equiv :args (@t111 (@list @t3 @t103 @t88 @t89 @t91) (@list @t31 @t77 @t62 @t63 @t65))) % 0.37/0.58 (step @p10 :rule trans :premises (@p9 @p8 @p7)) % 0.37/0.58 (step @p11 :rule equiv_elim2 :premises (@p10)) % 0.37/0.58 (step @p12 :rule bool-double-not-elim :args (@t111)) % 0.37/0.58 (step @p13 :rule refl :args (@t114)) % 0.37/0.58 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or @t114 (not @t112)))) % 0.37/0.58 (step @p15 :rule cnf_implies_neg2 :args (@t114)) % 0.37/0.58 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.37/0.58 (step @p17 :rule reordering :premises (@p16) :args ((or @t111 @t114))) % 0.37/0.58 (step @p18 :rule bool-double-not-elim :args (@t86)) % 0.37/0.58 (step @p19 :rule refl :args (@t115)) % 0.37/0.58 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t115 (not @t113)))) % 0.37/0.58 (step @p21 :rule cnf_implies_neg2 :args (@t115)) % 0.37/0.58 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.37/0.58 (step @p23 :rule reordering :premises (@p22) :args ((or @t86 @t115))) % 0.37/0.58 (step @p24 :rule aci_norm :args ((= @t117 @t109))) % 0.37/0.58 (step @p25 :rule cong :premises (@p24) :args (@t118)) % 0.37/0.58 (step @p26 :rule quant-merge-prenex :args ((= (forall @t27 @t120) @t118))) % 0.37/0.58 (step @p27 :rule alpha_equiv :args (@t121 (@list @t103 @t88 @t91 @t89) (@list @t17 @t1 @t5 @t2))) % 0.37/0.58 (step @p28 :rule refl :args (@t108)) % 0.37/0.58 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t122)) % 0.37/0.58 (step @p30 :rule quant-miniscope-or :args ((= @t120 @t122))) % 0.37/0.58 (step @p31 :rule trans :premises (@p30 @p29)) % 0.37/0.58 (step @p32 :rule symm :premises (@p31)) % 0.37/0.58 (step @p33 :rule cong :premises (@p32) :args ((forall @t27 (or @t108 @t140)))) % 0.37/0.58 (step @p34 :rule trans :premises (@p33 @p26)) % 0.37/0.58 (step @p35 :rule trans :premises (@p34 @p25)) % 0.37/0.58 (step @p36 :rule bool-double-not-elim :args (@t140)) % 0.37/0.58 (step @p37 :rule nary_cong :premises (@p28 @p36) :args ((or @t108 (not @t141)))) % 0.37/0.58 (step @p38 :rule bool-and-de-morgan :args (@t25 @t141 true)) % 0.37/0.58 (step @p39 :rule trans :premises (@p38 @p37)) % 0.37/0.58 (step @p40 :rule cong :premises (@p39) :args (@t143)) % 0.37/0.58 (step @p41 :rule trans :premises (@p40 @p35)) % 0.37/0.58 (step @p42 :rule cong :premises (@p41) :args (@t144)) % 0.37/0.58 (step @p43 :rule exists-elim :args ((= (exists @t27 @t142) @t144))) % 0.37/0.58 (step @p44 :rule trans :premises (@p43 @p42)) % 0.37/0.58 (step @p45 :rule aci_norm :args ((= (or @t138 (or @t137 (or @t136 (or @t135 (or @t134 (or @t133 (or @t132 (or @t131 (or @t130 (or @t129 (or @t128 (or @t127 (or @t126 (or @t125 (or @t124 @t123))))))))))))))) @t139))) % 0.37/0.58 (step @p46 :rule bool-and-de-morgan :args (@t6 @t4 true)) % 0.37/0.58 (step @p47 :rule refl :args (@t125)) % 0.37/0.58 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t125 (not (and @t6 @t4))))) % 0.37/0.58 (step @p49 :rule bool-and-de-morgan :args (@t7 @t6 (and @t4))) % 0.37/0.58 (step @p50 :rule trans :premises (@p49 @p48)) % 0.37/0.58 (step @p51 :rule refl :args (@t126)) % 0.37/0.58 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t126 (not (and @t7 @t6 @t4))))) % 0.37/0.58 (step @p53 :rule bool-and-de-morgan :args (@t8 @t7 (and @t6 @t4))) % 0.37/0.58 (step @p54 :rule trans :premises (@p53 @p52)) % 0.37/0.58 (step @p55 :rule refl :args (@t127)) % 0.37/0.58 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t127 (not (and @t8 @t7 @t6 @t4))))) % 0.37/0.58 (step @p57 :rule bool-and-de-morgan :args (@t9 @t8 (and @t7 @t6 @t4))) % 0.37/0.58 (step @p58 :rule trans :premises (@p57 @p56)) % 0.37/0.58 (step @p59 :rule refl :args (@t128)) % 0.37/0.58 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t128 (not (and @t9 @t8 @t7 @t6 @t4))))) % 0.37/0.58 (step @p61 :rule bool-and-de-morgan :args (@t10 @t9 (and @t8 @t7 @t6 @t4))) % 0.37/0.58 (step @p62 :rule trans :premises (@p61 @p60)) % 0.37/0.58 (step @p63 :rule refl :args (@t129)) % 0.37/0.58 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t129 (not (and @t10 @t9 @t8 @t7 @t6 @t4))))) % 0.37/0.58 (step @p65 :rule bool-and-de-morgan :args (@t11 @t10 (and @t9 @t8 @t7 @t6 @t4))) % 0.37/0.58 (step @p66 :rule trans :premises (@p65 @p64)) % 0.37/0.58 (step @p67 :rule refl :args (@t130)) % 0.37/0.58 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t130 (not (and @t11 @t10 @t9 @t8 @t7 @t6 @t4))))) % 0.37/0.58 (step @p69 :rule bool-and-de-morgan :args (@t12 @t11 (and @t10 @t9 @t8 @t7 @t6 @t4))) % 0.37/0.58 (step @p70 :rule trans :premises (@p69 @p68)) % 0.37/0.58 (step @p71 :rule refl :args (@t131)) % 0.37/0.58 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t131 (not (and @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t4))))) % 0.37/0.58 (step @p73 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11 @t10 @t9 @t8 @t7 @t6 @t4))) % 0.37/0.58 (step @p74 :rule trans :premises (@p73 @p72)) % 0.37/0.58 (step @p75 :rule refl :args (@t132)) % 0.37/0.58 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or @t132 (not (and @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t4))))) % 0.37/0.58 (step @p77 :rule bool-and-de-morgan :args (@t14 @t13 (and @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t4))) % 0.37/0.58 (step @p78 :rule trans :premises (@p77 @p76)) % 0.37/0.58 (step @p79 :rule refl :args (@t133)) % 0.37/0.58 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t133 (not (and @t14 @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t4))))) % 0.37/0.58 (step @p81 :rule bool-and-de-morgan :args (@t15 @t14 (and @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t4))) % 0.37/0.58 (step @p82 :rule trans :premises (@p81 @p80)) % 0.37/0.58 (step @p83 :rule refl :args (@t134)) % 0.37/0.58 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t134 (not (and @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t4))))) % 0.37/0.58 (step @p85 :rule bool-and-de-morgan :args (@t16 @t15 (and @t14 @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t4))) % 0.37/0.58 (step @p86 :rule trans :premises (@p85 @p84)) % 0.37/0.58 (step @p87 :rule refl :args (@t135)) % 0.37/0.58 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t135 (not (and @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t4))))) % 0.37/0.58 (step @p89 :rule bool-and-de-morgan :args (@t18 @t16 (and @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t4))) % 0.37/0.58 (step @p90 :rule trans :premises (@p89 @p88)) % 0.37/0.58 (step @p91 :rule refl :args (@t136)) % 0.37/0.58 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t136 (not (and @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t4))))) % 0.37/0.58 (step @p93 :rule bool-and-de-morgan :args (@t19 @t18 (and @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t4))) % 0.37/0.58 (step @p94 :rule trans :premises (@p93 @p92)) % 0.37/0.58 (step @p95 :rule refl :args (@t137)) % 0.37/0.58 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t137 (not (and @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t4))))) % 0.37/0.58 (step @p97 :rule bool-and-de-morgan :args (@t20 @t19 (and @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t4))) % 0.37/0.58 (step @p98 :rule trans :premises (@p97 @p96)) % 0.37/0.58 (step @p99 :rule refl :args (@t138)) % 0.37/0.58 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t138 (not (and @t20 @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t4))))) % 0.37/0.58 (step @p101 :rule bool-and-de-morgan :args (@t21 @t20 (and @t19 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t8 @t7 @t6 @t4))) % 0.37/0.58 (step @p102 :rule trans :premises (@p101 @p100)) % 0.37/0.58 (step @p103 :rule trans :premises (@p102 @p45)) % 0.37/0.58 (step @p104 :rule cong :premises (@p103) :args (@t145)) % 0.37/0.58 (step @p105 :rule cong :premises (@p104) :args (@t146)) % 0.37/0.58 (step @p106 :rule exists-elim :args ((= @t24 @t146))) % 0.37/0.58 (step @p107 :rule trans :premises (@p106 @p105)) % 0.37/0.58 (step @p108 :rule refl :args (@t25)) % 0.37/0.58 (step @p109 :rule nary_cong :premises (@p108 @p107) :args (@t26)) % 0.37/0.58 (step @p110 :rule cong :premises (@p109) :args (@t28)) % 0.37/0.58 (step @p111 :rule trans :premises (@p110 @p44)) % 0.37/0.58 (step @p112 :rule aci_norm :args ((= @t148 @t84))) % 0.37/0.58 (step @p113 :rule cong :premises (@p112) :args (@t149)) % 0.37/0.58 (step @p114 :rule quant-merge-prenex :args ((= (forall @t55 @t151) @t149))) % 0.37/0.58 (step @p115 :rule alpha_equiv :args (@t152 (@list @t65 @t77 @t62 @t63) (@list @t33 @t43 @t29 @t30))) % 0.37/0.58 (step @p116 :rule refl :args (@t82)) % 0.37/0.58 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t153)) % 0.37/0.58 (step @p118 :rule quant-miniscope-or :args ((= @t151 @t153))) % 0.37/0.58 (step @p119 :rule trans :premises (@p118 @p117)) % 0.37/0.58 (step @p120 :rule symm :premises (@p119)) % 0.37/0.58 (step @p121 :rule cong :premises (@p120) :args ((forall @t55 (or @t82 @t171)))) % 0.37/0.58 (step @p122 :rule trans :premises (@p121 @p114)) % 0.37/0.58 (step @p123 :rule trans :premises (@p122 @p113)) % 0.37/0.58 (step @p124 :rule bool-double-not-elim :args (@t171)) % 0.37/0.58 (step @p125 :rule nary_cong :premises (@p116 @p124) :args ((or @t82 (not @t172)))) % 0.37/0.58 (step @p126 :rule bool-and-de-morgan :args (@t53 @t172 true)) % 0.37/0.58 (step @p127 :rule trans :premises (@p126 @p125)) % 0.37/0.58 (step @p128 :rule cong :premises (@p127) :args (@t174)) % 0.37/0.58 (step @p129 :rule trans :premises (@p128 @p123)) % 0.37/0.58 (step @p130 :rule cong :premises (@p129) :args (@t175)) % 0.37/0.58 (step @p131 :rule exists-elim :args ((= (exists @t55 @t173) @t175))) % 0.37/0.58 (step @p132 :rule trans :premises (@p131 @p130)) % 0.37/0.58 (step @p133 :rule aci_norm :args ((= (or @t169 (or @t168 (or @t167 (or @t166 (or @t165 (or @t164 (or @t163 (or @t162 (or @t161 (or @t160 (or @t159 (or @t158 (or @t157 (or @t156 (or @t155 @t154))))))))))))))) @t170))) % 0.37/0.58 (step @p134 :rule bool-and-de-morgan :args (@t34 @t32 true)) % 0.37/0.58 (step @p135 :rule refl :args (@t156)) % 0.37/0.58 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or @t156 (not (and @t34 @t32))))) % 0.37/0.58 (step @p137 :rule bool-and-de-morgan :args (@t35 @t34 (and @t32))) % 0.37/0.58 (step @p138 :rule trans :premises (@p137 @p136)) % 0.37/0.58 (step @p139 :rule refl :args (@t157)) % 0.37/0.58 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t157 (not (and @t35 @t34 @t32))))) % 0.37/0.58 (step @p141 :rule bool-and-de-morgan :args (@t36 @t35 (and @t34 @t32))) % 0.37/0.58 (step @p142 :rule trans :premises (@p141 @p140)) % 0.37/0.58 (step @p143 :rule refl :args (@t158)) % 0.37/0.58 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t158 (not (and @t36 @t35 @t34 @t32))))) % 0.37/0.58 (step @p145 :rule bool-and-de-morgan :args (@t37 @t36 (and @t35 @t34 @t32))) % 0.37/0.58 (step @p146 :rule trans :premises (@p145 @p144)) % 0.37/0.58 (step @p147 :rule refl :args (@t159)) % 0.37/0.58 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t159 (not (and @t37 @t36 @t35 @t34 @t32))))) % 0.37/0.58 (step @p149 :rule bool-and-de-morgan :args (@t38 @t37 (and @t36 @t35 @t34 @t32))) % 0.37/0.58 (step @p150 :rule trans :premises (@p149 @p148)) % 0.37/0.58 (step @p151 :rule refl :args (@t160)) % 0.37/0.58 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or @t160 (not (and @t38 @t37 @t36 @t35 @t34 @t32))))) % 0.37/0.58 (step @p153 :rule bool-and-de-morgan :args (@t39 @t38 (and @t37 @t36 @t35 @t34 @t32))) % 0.37/0.58 (step @p154 :rule trans :premises (@p153 @p152)) % 0.37/0.58 (step @p155 :rule refl :args (@t161)) % 0.37/0.58 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or @t161 (not (and @t39 @t38 @t37 @t36 @t35 @t34 @t32))))) % 0.37/0.58 (step @p157 :rule bool-and-de-morgan :args (@t40 @t39 (and @t38 @t37 @t36 @t35 @t34 @t32))) % 0.37/0.58 (step @p158 :rule trans :premises (@p157 @p156)) % 0.37/0.58 (step @p159 :rule refl :args (@t162)) % 0.37/0.58 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or @t162 (not (and @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t32))))) % 0.37/0.58 (step @p161 :rule bool-and-de-morgan :args (@t41 @t40 (and @t39 @t38 @t37 @t36 @t35 @t34 @t32))) % 0.37/0.58 (step @p162 :rule trans :premises (@p161 @p160)) % 0.37/0.58 (step @p163 :rule refl :args (@t163)) % 0.37/0.58 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or @t163 (not (and @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t32))))) % 0.37/0.58 (step @p165 :rule bool-and-de-morgan :args (@t42 @t41 (and @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t32))) % 0.37/0.58 (step @p166 :rule trans :premises (@p165 @p164)) % 0.37/0.58 (step @p167 :rule refl :args (@t164)) % 0.37/0.58 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t164 (not (and @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t32))))) % 0.37/0.58 (step @p169 :rule bool-and-de-morgan :args (@t44 @t42 (and @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t32))) % 0.37/0.58 (step @p170 :rule trans :premises (@p169 @p168)) % 0.37/0.58 (step @p171 :rule refl :args (@t165)) % 0.37/0.58 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or @t165 (not (and @t44 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t32))))) % 0.37/0.58 (step @p173 :rule bool-and-de-morgan :args (@t45 @t44 (and @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t32))) % 0.37/0.58 (step @p174 :rule trans :premises (@p173 @p172)) % 0.37/0.58 (step @p175 :rule refl :args (@t166)) % 0.37/0.58 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or @t166 (not (and @t45 @t44 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t32))))) % 0.37/0.58 (step @p177 :rule bool-and-de-morgan :args (@t46 @t45 (and @t44 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t32))) % 0.37/0.58 (step @p178 :rule trans :premises (@p177 @p176)) % 0.37/0.58 (step @p179 :rule refl :args (@t167)) % 0.37/0.58 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or @t167 (not (and @t46 @t45 @t44 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t32))))) % 0.37/0.58 (step @p181 :rule bool-and-de-morgan :args (@t47 @t46 (and @t45 @t44 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t32))) % 0.37/0.58 (step @p182 :rule trans :premises (@p181 @p180)) % 0.37/0.58 (step @p183 :rule refl :args (@t168)) % 0.37/0.58 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t168 (not (and @t47 @t46 @t45 @t44 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t32))))) % 0.37/0.58 (step @p185 :rule bool-and-de-morgan :args (@t48 @t47 (and @t46 @t45 @t44 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t32))) % 0.37/0.58 (step @p186 :rule trans :premises (@p185 @p184)) % 0.37/0.58 (step @p187 :rule refl :args (@t169)) % 0.37/0.58 (step @p188 :rule nary_cong :premises (@p187 @p186) :args ((or @t169 (not (and @t48 @t47 @t46 @t45 @t44 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t32))))) % 0.37/0.58 (step @p189 :rule bool-and-de-morgan :args (@t49 @t48 (and @t47 @t46 @t45 @t44 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t32))) % 0.37/0.58 (step @p190 :rule trans :premises (@p189 @p188)) % 0.37/0.58 (step @p191 :rule trans :premises (@p190 @p133)) % 0.37/0.58 (step @p192 :rule cong :premises (@p191) :args (@t176)) % 0.37/0.58 (step @p193 :rule cong :premises (@p192) :args (@t177)) % 0.37/0.58 (step @p194 :rule exists-elim :args ((= @t52 @t177))) % 0.37/0.58 (step @p195 :rule trans :premises (@p194 @p193)) % 0.37/0.58 (step @p196 :rule refl :args (@t53)) % 0.37/0.58 (step @p197 :rule nary_cong :premises (@p196 @p195) :args (@t54)) % 0.37/0.58 (step @p198 :rule cong :premises (@p197) :args (@t56)) % 0.37/0.58 (step @p199 :rule trans :premises (@p198 @p132)) % 0.37/0.58 (step @p200 :rule cong :premises (@p199 @p111) :args (@t57)) % 0.37/0.58 (step @p201 :rule cong :premises (@p111 @p199) :args (@t58)) % 0.37/0.58 (step @p202 :rule nary_cong :premises (@p201 @p200) :args (@t59)) % 0.37/0.58 (step @p203 :rule cong :premises (@p202) :args (@t60)) % 0.37/0.58 (step @p204 :rule bool-double-not-elim :args (@t59)) % 0.37/0.58 (step @p205 :rule cong :premises (@p204) :args (@t61)) % 0.37/0.58 (step @p206 :rule trans :premises (@p205 @p203)) % 0.37/0.58 (step @p207 :rule eq_resolve :premises (@p1 @p206)) % 0.37/0.58 (step @p208 :rule not_and :premises (@p207)) % 0.37/0.58 (step @p209 :rule chain_m_resolution :premises (@p208 @p23 @p17 @p11) :args (@t111 (@list false false true) (@list @t115 @t114 @t86))) % 0.37/0.58 (step @p210 :rule cnf_implies_neg1 :args (@t115)) % 0.37/0.58 (step @p211 :rule reordering :premises (@p210) :args ((or @t112 @t115))) % 0.37/0.58 (step @p212 :rule chain_m_resolution :premises (@p211 @p209) :args (@t115 @t178 @t179)) % 0.37/0.58 (step @p213 :rule equiv_elim1 :premises (@p10)) % 0.37/0.58 (step @p214 :rule chain_m_resolution :premises (@p213 @p209) :args (@t86 @t178 @t179)) % 0.37/0.58 (step @p215 :rule cnf_implies_neg1 :args (@t114)) % 0.37/0.58 (step @p216 :rule reordering :premises (@p215) :args ((or @t113 @t114))) % 0.37/0.58 (step @p217 :rule chain_m_resolution :premises (@p216 @p214) :args (@t114 @t178 (@list @t86))) % 0.37/0.58 (step @p218 false :rule chain_m_resolution :premises (@p208 @p217 @p212) :args (false (@list false false) (@list @t114 @t115))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------