%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV401+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 09:01:21 AM UTC 2026 % Result : Theorem 0.36s 0.61s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWV401+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n006.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 20:06:34 EDT 2026 % 0.16/0.36 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.61 % SZS status Theorem % 0.36/0.61 % SZS output start Proof % 0.36/0.61 ( % 0.36/0.61 (declare-sort $$unsorted 0) % 0.36/0.61 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.create_slb $$unsorted) % 0.36/0.61 (declare-const tptp.bottom $$unsorted) % 0.36/0.61 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (define @t1 () (@var "W" $$unsorted)) % 0.36/0.61 (define @t2 () (@var "U" $$unsorted)) % 0.36/0.61 (define @t3 () (@var "V" $$unsorted)) % 0.36/0.61 (define @t4 () (tptp.less_than @t2 @t3)) % 0.36/0.61 (define @t5 () (@list @t2 @t3 @t1)) % 0.36/0.61 (define @t6 () (tptp.less_than @t3 @t2)) % 0.36/0.61 (define @t7 () (@list @t2 @t3)) % 0.36/0.61 (define @t8 () (@list @t2)) % 0.36/0.61 (define @t9 () (tptp.pair @t3 @t1)) % 0.36/0.61 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.36/0.61 (define @t11 () (= @t3 @t1)) % 0.36/0.61 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.36/0.61 (define @t13 () (@var "X" $$unsorted)) % 0.36/0.61 (define @t14 () (tptp.pair @t3 @t13)) % 0.36/0.61 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.36/0.61 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.36/0.61 (define @t17 () (@var "Y" $$unsorted)) % 0.36/0.61 (define @t18 () (forall (@list @t2 @t3 @t1 @t13 @t17) (= (tptp.pair_in_list @t15 @t1 @t17) (or (tptp.pair_in_list @t2 @t1 @t17) (and @t11 (= @t13 @t17)))))) % 0.36/0.61 (define @t19 () (and (not @t11) @t12)) % 0.36/0.61 (define @t20 () (tptp.update_slb @t2 @t1)) % 0.36/0.61 (define @t21 () (tptp.update_slb @t15 @t1)) % 0.36/0.61 (define @t22 () (= @t21 (tptp.insert_slb @t20 @t9))) % 0.36/0.61 (define @t23 () (tptp.strictly_less_than @t13 @t1)) % 0.36/0.61 (define @t24 () (forall @t16 (=> @t23 @t22))) % 0.36/0.61 (define @t25 () (= @t21 (tptp.insert_slb @t20 @t14))) % 0.36/0.61 (define @t26 () (tptp.less_than @t1 @t13)) % 0.36/0.61 (define @t27 () (forall @t16 (=> @t26 @t25))) % 0.36/0.61 (define @t28 () (@var "Z" $$unsorted)) % 0.36/0.61 (define @t29 () (@var "X1" $$unsorted)) % 0.36/0.61 (define @t30 () (@var "X3" $$unsorted)) % 0.36/0.61 (define @t31 () (@var "X2" $$unsorted)) % 0.36/0.61 (define @t32 () (tptp.insert_slb @t2 (tptp.pair @t31 @t30))) % 0.36/0.61 (define @t33 () (tptp.pair_in_list (tptp.update_slb @t32 @t29) @t17 @t28)) % 0.36/0.61 (define @t34 () (tptp.less_than @t29 @t28)) % 0.36/0.61 (define @t35 () (tptp.pair_in_list @t32 @t17 @t28)) % 0.36/0.61 (define @t36 () (and @t35 @t34)) % 0.36/0.61 (define @t37 () (@list @t17 @t28 @t29 @t31 @t30)) % 0.36/0.61 (define @t38 () (forall @t37 (=> @t36 @t33))) % 0.36/0.61 (define @t39 () (tptp.pair_in_list (tptp.update_slb @t2 @t13) @t3 @t1)) % 0.36/0.61 (define @t40 () (tptp.less_than @t13 @t1)) % 0.36/0.61 (define @t41 () (tptp.pair_in_list @t2 @t3 @t1)) % 0.36/0.61 (define @t42 () (and @t41 @t40)) % 0.36/0.61 (define @t43 () (@list @t3 @t1 @t13)) % 0.36/0.61 (define @t44 () (forall @t43 (=> @t42 @t39))) % 0.36/0.61 (define @t45 () (=> @t44 @t38)) % 0.36/0.61 (define @t46 () (forall @t8 @t45)) % 0.36/0.61 (define @t47 () (not @t46)) % 0.36/0.61 (define @t48 () (@var "BOUND_VARIABLE_7589" $$unsorted)) % 0.36/0.61 (define @t49 () (@var "BOUND_VARIABLE_7587" $$unsorted)) % 0.36/0.61 (define @t50 () (@var "BOUND_VARIABLE_7591" $$unsorted)) % 0.36/0.61 (define @t51 () (@var "BOUND_VARIABLE_7595" $$unsorted)) % 0.36/0.61 (define @t52 () (@var "BOUND_VARIABLE_7593" $$unsorted)) % 0.36/0.61 (define @t53 () (tptp.insert_slb @t2 (tptp.pair @t52 @t51))) % 0.36/0.61 (define @t54 () (tptp.pair_in_list (tptp.update_slb @t53 @t50) @t49 @t48)) % 0.36/0.61 (define @t55 () (not (tptp.less_than @t50 @t48))) % 0.36/0.61 (define @t56 () (not (tptp.pair_in_list @t53 @t49 @t48))) % 0.36/0.61 (define @t57 () (not @t40)) % 0.36/0.61 (define @t58 () (not @t41)) % 0.36/0.61 (define @t59 () (or @t58 @t57 @t39)) % 0.36/0.61 (define @t60 () (forall @t43 @t59)) % 0.36/0.61 (define @t61 () (not @t60)) % 0.36/0.61 (define @t62 () (or @t61 @t56 @t55 @t54)) % 0.36/0.61 (define @t63 () (or @t56 @t55 @t54)) % 0.36/0.61 (define @t64 () (or @t61 @t63)) % 0.36/0.61 (define @t65 () (@list @t2 @t49 @t48 @t50 @t52 @t51)) % 0.36/0.61 (define @t66 () (forall @t65 @t64)) % 0.36/0.61 (define @t67 () (@list @t49 @t48 @t50 @t52 @t51)) % 0.36/0.61 (define @t68 () (forall @t67 @t64)) % 0.36/0.61 (define @t69 () (forall @t67 @t63)) % 0.36/0.61 (define @t70 () (or @t61 @t69)) % 0.36/0.61 (define @t71 () (not @t34)) % 0.36/0.61 (define @t72 () (not @t35)) % 0.36/0.61 (define @t73 () (or @t72 @t71 @t33)) % 0.36/0.61 (define @t74 () (forall @t37 @t73)) % 0.36/0.61 (define @t75 () (forall @t65 @t62)) % 0.36/0.61 (define @t76 () (@quantifiers_skolemize @t75 2)) % 0.36/0.61 (define @t77 () (@quantifiers_skolemize @t75 1)) % 0.36/0.61 (define @t78 () (@quantifiers_skolemize @t75 3)) % 0.36/0.61 (define @t79 () (@quantifiers_skolemize @t75 5)) % 0.36/0.61 (define @t80 () (@quantifiers_skolemize @t75 4)) % 0.36/0.61 (define @t81 () (tptp.pair @t80 @t79)) % 0.36/0.61 (define @t82 () (@quantifiers_skolemize @t75 0)) % 0.36/0.61 (define @t83 () (tptp.insert_slb @t82 @t81)) % 0.36/0.61 (define @t84 () (tptp.update_slb @t83 @t78)) % 0.36/0.61 (define @t85 () (tptp.pair_in_list @t84 @t77 @t76)) % 0.36/0.61 (define @t86 () (tptp.less_than @t78 @t76)) % 0.36/0.61 (define @t87 () (not @t86)) % 0.36/0.61 (define @t88 () (tptp.pair_in_list @t83 @t77 @t76)) % 0.36/0.61 (define @t89 () (not @t88)) % 0.36/0.61 (define @t90 () (forall @t43 (or (not (tptp.pair_in_list @t82 @t3 @t1)) @t57 (tptp.pair_in_list (tptp.update_slb @t82 @t13) @t3 @t1)))) % 0.36/0.61 (define @t91 () (not @t90)) % 0.36/0.61 (define @t92 () (or @t91 @t89 @t87 @t85)) % 0.36/0.61 (define @t93 () (not @t85)) % 0.36/0.61 (define @t94 () (@list true)) % 0.36/0.61 (define @t95 () (@list @t92)) % 0.36/0.61 (define @t96 () (@list @t82 @t80 @t78 @t79)) % 0.36/0.61 (define @t97 () (= @t80 @t77)) % 0.36/0.61 (define @t98 () (and @t97 (= @t79 @t76))) % 0.36/0.61 (define @t99 () (tptp.update_slb @t82 @t78)) % 0.36/0.61 (define @t100 () (tptp.pair_in_list @t99 @t77 @t76)) % 0.36/0.61 (define @t101 () (or @t100 @t98)) % 0.36/0.61 (define @t102 () (tptp.insert_slb @t99 @t81)) % 0.36/0.61 (define @t103 () (tptp.pair_in_list @t102 @t77 @t76)) % 0.36/0.61 (define @t104 () (= @t103 @t101)) % 0.36/0.61 (define @t105 () (= @t76 @t79)) % 0.36/0.61 (define @t106 () (= @t77 @t80)) % 0.36/0.61 (define @t107 () (and @t106 @t105)) % 0.36/0.61 (define @t108 () (or @t100 @t107)) % 0.36/0.61 (define @t109 () (= @t103 @t108)) % 0.36/0.61 (define @t110 () (@list false)) % 0.36/0.61 (define @t111 () (@list @t18)) % 0.36/0.61 (define @t112 () (not @t107)) % 0.36/0.61 (define @t113 () (tptp.pair_in_list @t82 @t77 @t76)) % 0.36/0.61 (define @t114 () (not @t113)) % 0.36/0.61 (define @t115 () (or @t114 @t87 @t100)) % 0.36/0.61 (define @t116 () (or @t113 @t98)) % 0.36/0.61 (define @t117 () (= @t88 @t116)) % 0.36/0.61 (define @t118 () (or @t113 @t107)) % 0.36/0.61 (define @t119 () (= @t88 @t118)) % 0.36/0.61 (define @t120 () (@list false false)) % 0.36/0.61 (define @t121 () (not @t108)) % 0.36/0.61 (define @t122 () (not @t103)) % 0.36/0.61 (define @t123 () (= @t84 @t102)) % 0.36/0.61 (define @t124 () (not @t123)) % 0.36/0.61 (define @t125 () (not @t93)) % 0.36/0.61 (define @t126 () (= true false)) % 0.36/0.61 (define @t127 () (@list true false)) % 0.36/0.61 (define @t128 () (tptp.less_than @t78 @t79)) % 0.36/0.61 (define @t129 () (not @t128)) % 0.36/0.61 (define @t130 () (or @t129 @t123)) % 0.36/0.61 (define @t131 () (tptp.less_than @t79 @t78)) % 0.36/0.61 (define @t132 () (or @t128 @t131)) % 0.36/0.61 (define @t133 () (not @t131)) % 0.36/0.61 (define @t134 () (and @t131 @t129)) % 0.36/0.61 (define @t135 () (not @t129)) % 0.36/0.61 (define @t136 () (tptp.strictly_less_than @t79 @t78)) % 0.36/0.61 (define @t137 () (= @t136 @t134)) % 0.36/0.61 (define @t138 () (tptp.insert_slb @t99 (tptp.pair @t80 @t78))) % 0.36/0.61 (define @t139 () (= @t84 @t138)) % 0.36/0.61 (define @t140 () (not @t136)) % 0.36/0.61 (define @t141 () (or @t140 @t139)) % 0.36/0.61 (define @t142 () (and @t97 (= @t78 @t76))) % 0.36/0.61 (define @t143 () (or @t100 @t142)) % 0.36/0.61 (define @t144 () (tptp.pair_in_list @t138 @t77 @t76)) % 0.36/0.61 (define @t145 () (= @t144 @t143)) % 0.36/0.61 (define @t146 () (or @t100 (and @t106 (= @t76 @t78)))) % 0.36/0.61 (define @t147 () (= @t144 @t146)) % 0.36/0.61 (define @t148 () (not @t105)) % 0.36/0.61 (define @t149 () (and @t129 @t105 @t86)) % 0.36/0.61 (define @t150 () (not @t144)) % 0.36/0.61 (define @t151 () (not @t139)) % 0.36/0.61 (define @t152 () (and @t144 @t139 @t93)) % 0.36/0.61 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.36/0.61 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.36/0.61 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.36/0.61 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.36/0.61 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.36/0.61 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.36/0.61 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.36/0.61 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.36/0.61 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.36/0.61 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.36/0.61 (assume @p11 @t18) % 0.36/0.61 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.36/0.61 (assume @p13 (forall @t16 (=> @t19 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.36/0.61 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.36/0.61 (assume @p15 (forall @t16 (=> @t19 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.36/0.61 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.36/0.61 (assume @p17 @t24) % 0.36/0.61 (assume @p18 @t27) % 0.36/0.61 (assume @p19 @t47) % 0.36/0.61 (assume @p20 true) % 0.36/0.61 (step @p21 :rule aci_norm :args ((= @t64 @t62))) % 0.36/0.61 (step @p22 :rule cong :premises (@p21) :args (@t66)) % 0.36/0.61 (step @p23 :rule quant-merge-prenex :args ((= (forall @t8 @t68) @t66))) % 0.36/0.61 (step @p24 :rule alpha_equiv :args (@t69 (@list @t49 @t48 @t50 @t52 @t51) (@list @t17 @t28 @t29 @t31 @t30))) % 0.36/0.61 (step @p25 :rule refl :args (@t61)) % 0.36/0.61 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t70)) % 0.36/0.61 (step @p27 :rule quant-miniscope-or :args ((= @t68 @t70))) % 0.36/0.61 (step @p28 :rule trans :premises (@p27 @p26)) % 0.36/0.61 (step @p29 :rule symm :premises (@p28)) % 0.36/0.61 (step @p30 :rule cong :premises (@p29) :args ((forall @t8 (or @t61 @t74)))) % 0.36/0.61 (step @p31 :rule trans :premises (@p30 @p23)) % 0.36/0.61 (step @p32 :rule trans :premises (@p31 @p22)) % 0.36/0.61 (step @p33 :rule bool-impl-elim :args (@t60 @t74)) % 0.36/0.61 (step @p34 :rule cong :premises (@p33) :args ((forall @t8 (=> @t60 @t74)))) % 0.36/0.61 (step @p35 :rule trans :premises (@p34 @p32)) % 0.36/0.61 (step @p36 :rule aci_norm :args ((= (or (or @t72 @t71) @t33) @t73))) % 0.36/0.61 (step @p37 :rule refl :args (@t33)) % 0.36/0.61 (step @p38 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.36/0.61 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t36) @t33))) % 0.36/0.61 (step @p40 :rule trans :premises (@p39 @p36)) % 0.36/0.61 (step @p41 :rule bool-impl-elim :args (@t36 @t33)) % 0.36/0.61 (step @p42 :rule trans :premises (@p41 @p40)) % 0.36/0.61 (step @p43 :rule cong :premises (@p42) :args (@t38)) % 0.36/0.61 (step @p44 :rule aci_norm :args ((= (or (or @t58 @t57) @t39) @t59))) % 0.36/0.61 (step @p45 :rule refl :args (@t39)) % 0.36/0.61 (step @p46 :rule bool-and-de-morgan :args (@t41 @t40 true)) % 0.36/0.61 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or (not @t42) @t39))) % 0.36/0.61 (step @p48 :rule trans :premises (@p47 @p44)) % 0.36/0.61 (step @p49 :rule bool-impl-elim :args (@t42 @t39)) % 0.36/0.61 (step @p50 :rule trans :premises (@p49 @p48)) % 0.36/0.61 (step @p51 :rule cong :premises (@p50) :args (@t44)) % 0.36/0.61 (step @p52 :rule cong :premises (@p51 @p43) :args (@t45)) % 0.36/0.61 (step @p53 :rule cong :premises (@p52) :args (@t46)) % 0.36/0.61 (step @p54 :rule trans :premises (@p53 @p35)) % 0.36/0.61 (step @p55 :rule cong :premises (@p54) :args (@t47)) % 0.36/0.61 (step @p56 :rule eq_resolve :premises (@p19 @p55)) % 0.36/0.61 (step @p57 :rule skolemize :premises (@p56)) % 0.36/0.61 (step @p58 :rule cnf_or_neg :args (@t92 3)) % 0.36/0.61 (step @p59 :rule chain_m_resolution :premises (@p58 @p57) :args (@t93 @t94 @t95)) % 0.36/0.61 (step @p60 :rule bool-impl-elim :args (@t23 @t22)) % 0.36/0.61 (step @p61 :rule cong :premises (@p60) :args (@t24)) % 0.36/0.61 (step @p62 :rule eq_resolve :premises (@p17 @p61)) % 0.36/0.61 (step @p63 :rule instantiate :premises (@p62) :args (@t96)) % 0.36/0.61 (step @p64 :rule instantiate :premises (@p4) :args ((@list @t79 @t78))) % 0.36/0.61 (step @p65 :rule instantiate :premises (@p2) :args ((@list @t78 @t79))) % 0.36/0.61 (step @p66 :rule bool-impl-elim :args (@t26 @t25)) % 0.36/0.61 (step @p67 :rule cong :premises (@p66) :args (@t27)) % 0.36/0.61 (step @p68 :rule eq_resolve :premises (@p18 @p67)) % 0.36/0.61 (step @p69 :rule instantiate :premises (@p68) :args (@t96)) % 0.36/0.61 (step @p70 :rule eq-symm :args (@t79 @t76)) % 0.36/0.61 (step @p71 :rule eq-symm :args (@t80 @t77)) % 0.36/0.61 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t98)) % 0.36/0.61 (step @p73 :rule refl :args (@t100)) % 0.36/0.61 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t101)) % 0.36/0.61 (step @p75 :rule refl :args (@t103)) % 0.36/0.61 (step @p76 :rule cong :premises (@p75 @p74) :args (@t104)) % 0.36/0.61 (step @p77 :rule refl :args (@t18)) % 0.36/0.61 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t18 @t104))) % 0.36/0.61 (assume-push @p261 @t18) % 0.36/0.61 (step @p80 :rule instantiate :premises (@p11) :args ((@list @t99 @t80 @t77 @t79 @t76))) % 0.36/0.61 (step-pop @p262 :rule scope :premises (@p80)) % 0.36/0.61 (step @p81 :rule process_scope :premises (@p262) :args (@t104)) % 0.36/0.61 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.36/0.61 (step @p84 :rule implies_elim :premises (@p83)) % 0.36/0.61 (step @p85 :rule chain_m_resolution :premises (@p84 @p11) :args (@t109 @t110 @t111)) % 0.36/0.61 (step @p86 :rule cnf_or_neg :args (@t108 0)) % 0.36/0.61 (step @p87 :rule cnf_or_neg :args (@t108 1)) % 0.36/0.61 (step @p88 :rule reordering :premises (@p87) :args ((or @t112 @t108))) % 0.36/0.61 (step @p89 :rule bool-double-not-elim :args (@t86)) % 0.36/0.61 (step @p90 :rule refl :args (@t92)) % 0.36/0.61 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t92 (not @t87)))) % 0.36/0.61 (step @p92 :rule cnf_or_neg :args (@t92 2)) % 0.36/0.61 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.36/0.61 (step @p94 :rule reordering :premises (@p93) :args ((or @t86 @t92))) % 0.36/0.61 (step @p95 :rule chain_m_resolution :premises (@p94 @p57) :args (@t86 @t94 @t95)) % 0.36/0.61 (step @p96 :rule bool-double-not-elim :args (@t90)) % 0.36/0.61 (step @p97 :rule nary_cong :premises (@p90 @p96) :args ((or @t92 (not @t91)))) % 0.36/0.61 (step @p98 :rule cnf_or_neg :args (@t92 0)) % 0.36/0.61 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.36/0.61 (step @p100 :rule reordering :premises (@p99) :args ((or @t90 @t92))) % 0.36/0.61 (step @p101 :rule chain_m_resolution :premises (@p100 @p57) :args (@t90 @t94 @t95)) % 0.36/0.61 (step @p102 :rule instantiate :premises (@p101) :args ((@list @t77 @t76 @t78))) % 0.36/0.61 (step @p103 :rule cnf_or_pos :args (@t115)) % 0.36/0.61 (step @p104 :rule reordering :premises (@p103) :args ((or @t87 @t114 @t100 (not @t115)))) % 0.36/0.61 (step @p105 :rule refl :args (@t113)) % 0.36/0.61 (step @p106 :rule nary_cong :premises (@p105 @p72) :args (@t116)) % 0.36/0.61 (step @p107 :rule refl :args (@t88)) % 0.36/0.61 (step @p108 :rule cong :premises (@p107 @p106) :args (@t117)) % 0.36/0.61 (step @p109 :rule cong :premises (@p77 @p108) :args ((=> @t18 @t117))) % 0.36/0.61 (assume-push @p263 @t18) % 0.36/0.61 (step @p111 :rule instantiate :premises (@p11) :args ((@list @t82 @t80 @t77 @t79 @t76))) % 0.36/0.61 (step-pop @p264 :rule scope :premises (@p111)) % 0.36/0.61 (step @p112 :rule process_scope :premises (@p264) :args (@t117)) % 0.36/0.61 (step @p114 :rule eq_resolve :premises (@p112 @p109)) % 0.36/0.61 (step @p115 :rule implies_elim :premises (@p114)) % 0.36/0.61 (step @p116 :rule chain_m_resolution :premises (@p115 @p11) :args (@t119 @t110 @t111)) % 0.36/0.61 (step @p117 :rule bool-double-not-elim :args (@t88)) % 0.36/0.61 (step @p118 :rule nary_cong :premises (@p90 @p117) :args ((or @t92 (not @t89)))) % 0.36/0.61 (step @p119 :rule cnf_or_neg :args (@t92 1)) % 0.36/0.61 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 0.36/0.61 (step @p121 :rule reordering :premises (@p120) :args ((or @t88 @t92))) % 0.36/0.61 (step @p122 :rule chain_m_resolution :premises (@p121 @p57) :args (@t88 @t94 @t95)) % 0.36/0.61 (step @p123 :rule cnf_equiv_pos1 :args (@t119)) % 0.36/0.61 (step @p124 :rule reordering :premises (@p123) :args ((or @t89 @t118 (not @t119)))) % 0.36/0.61 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p116) :args (@t118 @t120 (@list @t88 @t119))) % 0.36/0.61 (step @p126 :rule cnf_or_pos :args (@t118)) % 0.36/0.61 (step @p127 :rule reordering :premises (@p126) :args ((or @t113 @t107 (not @t118)))) % 0.36/0.61 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p104 @p102 @p95 @p88 @p86) :args (@t108 (@list false true false false true true) (@list @t118 @t113 @t115 @t86 @t107 @t100))) % 0.36/0.61 (step @p129 :rule cnf_equiv_pos2 :args (@t109)) % 0.36/0.61 (step @p130 :rule reordering :premises (@p129) :args ((or @t103 @t121 (not @t109)))) % 0.36/0.61 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p85) :args (@t103 @t120 (@list @t108 @t109))) % 0.36/0.61 (step @p132 :rule refl :args (@t122)) % 0.36/0.61 (step @p133 :rule refl :args (@t124)) % 0.36/0.61 (step @p134 :rule bool-double-not-elim :args (@t85)) % 0.36/0.61 (step @p135 :rule nary_cong :premises (@p134 @p133 @p132) :args ((or @t125 @t124 @t122))) % 0.36/0.61 (assume-push @p265 @t93) % 0.36/0.61 (assume-push @p266 @t123) % 0.36/0.61 (assume-push @p267 @t103) % 0.36/0.61 (step @p139 :rule evaluate :args (@t126)) % 0.36/0.61 (step @p140 :rule false_intro :premises (@p59)) % 0.36/0.61 (step @p141 :rule refl :args (@t76)) % 0.36/0.61 (step @p142 :rule refl :args (@t77)) % 0.36/0.61 (step @p143 :rule symm :premises (@p266)) % 0.36/0.61 (step @p144 :rule cong :premises (@p143 @p142 @p141) :args (@t103)) % 0.36/0.61 (step @p145 :rule true_intro :premises (@p131)) % 0.36/0.61 (step @p146 :rule symm :premises (@p145)) % 0.36/0.61 (step @p147 :rule trans :premises (@p146 @p144 @p140)) % 0.36/0.61 (step @p148 false :rule eq_resolve :premises (@p147 @p139)) % 0.36/0.61 (step-pop @p268 :rule scope :premises (@p148)) % 0.36/0.61 (step-pop @p269 :rule scope :premises (@p268)) % 0.36/0.61 (step-pop @p270 :rule scope :premises (@p269)) % 0.36/0.61 (step @p149 :rule process_scope :premises (@p270) :args (false)) % 0.36/0.61 (step @p153 :rule not_and :premises (@p149)) % 0.36/0.61 (step @p154 :rule eq_resolve :premises (@p153 @p135)) % 0.36/0.61 (step @p155 :rule chain_m_resolution :premises (@p154 @p59 @p131) :args (@t124 @t127 (@list @t85 @t103))) % 0.36/0.61 (step @p156 :rule cnf_or_pos :args (@t130)) % 0.36/0.61 (step @p157 :rule reordering :premises (@p156) :args ((or @t129 @t123 (not @t130)))) % 0.36/0.61 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p69) :args (@t129 @t127 (@list @t123 @t130))) % 0.36/0.61 (step @p159 :rule cnf_or_pos :args (@t132)) % 0.36/0.61 (step @p160 :rule reordering :premises (@p159) :args ((or @t128 @t131 (not @t132)))) % 0.36/0.61 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p65) :args (@t131 @t127 (@list @t128 @t132))) % 0.36/0.61 (step @p162 :rule bool-double-not-elim :args (@t128)) % 0.36/0.61 (step @p163 :rule refl :args (@t133)) % 0.36/0.61 (step @p164 :rule refl :args (@t134)) % 0.36/0.61 (step @p165 :rule nary_cong :premises (@p164 @p163 @p162) :args ((or @t134 @t133 @t135))) % 0.36/0.61 (step @p166 :rule cnf_and_neg :args (@t134)) % 0.36/0.61 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 0.36/0.61 (step @p168 :rule reordering :premises (@p167) :args ((or @t128 @t134 @t133))) % 0.36/0.61 (step @p169 :rule chain_m_resolution :premises (@p168 @p158 @p161) :args (@t134 @t127 (@list @t128 @t131))) % 0.36/0.61 (step @p170 :rule cnf_equiv_pos2 :args (@t137)) % 0.36/0.61 (step @p171 :rule reordering :premises (@p170) :args ((or @t136 (not @t134) (not @t137)))) % 0.36/0.61 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p64) :args (@t136 @t120 (@list @t134 @t137))) % 0.36/0.61 (step @p173 :rule cnf_or_pos :args (@t141)) % 0.36/0.61 (step @p174 :rule reordering :premises (@p173) :args ((or @t140 @t139 (not @t141)))) % 0.36/0.61 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p63) :args (@t139 @t120 (@list @t136 @t141))) % 0.36/0.61 (step @p176 :rule eq-symm :args (@t78 @t76)) % 0.36/0.61 (step @p177 :rule nary_cong :premises (@p71 @p176) :args (@t142)) % 0.36/0.61 (step @p178 :rule nary_cong :premises (@p73 @p177) :args (@t143)) % 0.36/0.61 (step @p179 :rule refl :args (@t144)) % 0.36/0.61 (step @p180 :rule cong :premises (@p179 @p178) :args (@t145)) % 0.36/0.61 (step @p181 :rule cong :premises (@p77 @p180) :args ((=> @t18 @t145))) % 0.36/0.61 (assume-push @p271 @t18) % 0.36/0.61 (step @p183 :rule instantiate :premises (@p11) :args ((@list @t99 @t80 @t77 @t78 @t76))) % 0.36/0.61 (step-pop @p272 :rule scope :premises (@p183)) % 0.36/0.61 (step @p184 :rule process_scope :premises (@p272) :args (@t145)) % 0.36/0.61 (step @p186 :rule eq_resolve :premises (@p184 @p181)) % 0.36/0.61 (step @p187 :rule implies_elim :premises (@p186)) % 0.36/0.61 (step @p188 :rule chain_m_resolution :premises (@p187 @p11) :args (@t147 @t110 @t111)) % 0.36/0.61 (step @p189 :rule refl :args (@t148)) % 0.36/0.61 (step @p190 :rule refl :args (@t87)) % 0.36/0.61 (step @p191 :rule nary_cong :premises (@p190 @p189 @p162) :args ((or @t87 @t148 @t135))) % 0.36/0.61 (assume-push @p273 @t129) % 0.36/0.61 (assume-push @p274 @t105) % 0.36/0.61 (assume-push @p275 @t86) % 0.36/0.61 (step @p139 :rule evaluate :args (@t126)) % 0.36/0.61 (step @p195 :rule false_intro :premises (@p273)) % 0.36/0.61 (step @p196 :rule refl :args (@t78)) % 0.36/0.61 (step @p197 :rule cong :premises (@p196 @p274) :args (@t86)) % 0.36/0.61 (step @p198 :rule true_intro :premises (@p95)) % 0.36/0.61 (step @p199 :rule symm :premises (@p198)) % 0.36/0.61 (step @p200 :rule trans :premises (@p199 @p197 @p195)) % 0.36/0.61 (step @p201 false :rule eq_resolve :premises (@p200 @p139)) % 0.36/0.61 (step-pop @p276 :rule scope :premises (@p201)) % 0.36/0.61 (step-pop @p277 :rule scope :premises (@p276)) % 0.36/0.61 (step-pop @p278 :rule scope :premises (@p277)) % 0.36/0.61 (step @p202 :rule process_scope :premises (@p278) :args (false)) % 0.36/0.61 (assume-push @p279 @t86) % 0.36/0.61 (assume-push @p280 @t105) % 0.36/0.61 (assume-push @p281 @t129) % 0.36/0.61 (step @p209 :rule and_intro :premises (@p281 @p280 @p95)) % 0.36/0.61 (step-pop @p282 :rule scope :premises (@p209)) % 0.36/0.61 (step-pop @p283 :rule scope :premises (@p282)) % 0.36/0.61 (step-pop @p284 :rule scope :premises (@p283)) % 0.36/0.61 (step @p210 :rule process_scope :premises (@p284) :args (@t149)) % 0.36/0.61 (step @p214 :rule implies_elim :premises (@p210)) % 0.36/0.61 (step @p215 :rule resolution :premises (@p214 @p202) :args (true @t149)) % 0.36/0.61 (step @p216 :rule not_and :premises (@p215)) % 0.36/0.61 (step @p217 :rule eq_resolve :premises (@p216 @p191)) % 0.36/0.61 (step @p218 :rule reordering :premises (@p217) :args ((or @t87 @t128 @t148))) % 0.36/0.61 (step @p219 :rule chain_m_resolution :premises (@p218 @p95 @p158) :args (@t148 (@list false true) (@list @t86 @t128))) % 0.36/0.61 (step @p220 :rule cnf_and_pos :args (@t107 1)) % 0.36/0.61 (step @p221 :rule reordering :premises (@p220) :args ((or @t105 @t112))) % 0.36/0.61 (step @p222 :rule chain_m_resolution :premises (@p221 @p219) :args (@t112 @t94 (@list @t105))) % 0.36/0.61 (step @p223 :rule cnf_or_pos :args (@t108)) % 0.36/0.61 (step @p224 :rule reordering :premises (@p223) :args ((or @t107 @t100 @t121))) % 0.36/0.61 (step @p225 :rule chain_m_resolution :premises (@p224 @p222 @p128) :args (@t100 @t127 (@list @t107 @t108))) % 0.36/0.61 (step @p226 :rule cnf_or_neg :args (@t146 0)) % 0.36/0.61 (step @p227 :rule reordering :premises (@p226) :args ((or (not @t100) @t146))) % 0.36/0.61 (step @p228 :rule chain_m_resolution :premises (@p227 @p225) :args (@t146 @t110 (@list @t100))) % 0.36/0.61 (step @p229 :rule cnf_equiv_pos2 :args (@t147)) % 0.36/0.61 (step @p230 :rule reordering :premises (@p229) :args ((or @t144 (not @t146) (not @t147)))) % 0.36/0.61 (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p188) :args (@t144 @t120 (@list @t146 @t147))) % 0.36/0.61 (step @p232 :rule refl :args (@t150)) % 0.36/0.61 (step @p233 :rule refl :args (@t151)) % 0.36/0.61 (step @p234 :rule nary_cong :premises (@p134 @p233 @p232) :args ((or @t125 @t151 @t150))) % 0.36/0.61 (assume-push @p285 @t144) % 0.36/0.61 (assume-push @p286 @t139) % 0.36/0.61 (assume-push @p287 @t93) % 0.36/0.61 (step @p238 :rule evaluate :args ((= false true))) % 0.36/0.61 (step @p239 :rule true_intro :premises (@p285)) % 0.36/0.61 (step @p141 :rule refl :args (@t76)) % 0.36/0.61 (step @p142 :rule refl :args (@t77)) % 0.36/0.61 (step @p240 :rule cong :premises (@p286 @p142 @p141) :args (@t85)) % 0.36/0.61 (step @p140 :rule false_intro :premises (@p59)) % 0.36/0.61 (step @p241 :rule symm :premises (@p140)) % 0.36/0.61 (step @p242 :rule trans :premises (@p241 @p240 @p239)) % 0.36/0.61 (step @p243 false :rule eq_resolve :premises (@p242 @p238)) % 0.36/0.61 (step-pop @p288 :rule scope :premises (@p243)) % 0.36/0.61 (step-pop @p289 :rule scope :premises (@p288)) % 0.36/0.61 (step-pop @p290 :rule scope :premises (@p289)) % 0.36/0.61 (step @p244 :rule process_scope :premises (@p290) :args (false)) % 0.36/0.61 (assume-push @p291 @t93) % 0.36/0.61 (assume-push @p292 @t139) % 0.36/0.61 (assume-push @p293 @t144) % 0.36/0.61 (step @p251 :rule and_intro :premises (@p293 @p292 @p59)) % 0.36/0.61 (step-pop @p294 :rule scope :premises (@p251)) % 0.36/0.61 (step-pop @p295 :rule scope :premises (@p294)) % 0.36/0.61 (step-pop @p296 :rule scope :premises (@p295)) % 0.36/0.61 (step @p252 :rule process_scope :premises (@p296) :args (@t152)) % 0.36/0.61 (step @p256 :rule implies_elim :premises (@p252)) % 0.36/0.61 (step @p257 :rule resolution :premises (@p256 @p244) :args (true @t152)) % 0.36/0.61 (step @p258 :rule not_and :premises (@p257)) % 0.36/0.61 (step @p259 :rule eq_resolve :premises (@p258 @p234)) % 0.36/0.61 (step @p260 false :rule chain_m_resolution :premises (@p259 @p231 @p175 @p59) :args (false (@list false false true) (@list @t144 @t139 @t85))) % 0.36/0.61 ) % 0.36/0.61 % SZS output end Proof % 0.36/0.61 % cvc5 exiting %------------------------------------------------------------------------------