%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV403+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 09:01:22 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 : SWV403+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 20:06:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.50 %----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 $$unsorted 0) % 0.38/0.60 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.create_slb $$unsorted) % 0.38/0.60 (declare-const tptp.bottom $$unsorted) % 0.38/0.60 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (define @t1 () (@var "W" $$unsorted)) % 0.38/0.60 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.60 (define @t3 () (@var "V" $$unsorted)) % 0.38/0.60 (define @t4 () (tptp.less_than @t2 @t3)) % 0.38/0.60 (define @t5 () (@list @t2 @t3 @t1)) % 0.38/0.60 (define @t6 () (tptp.less_than @t3 @t2)) % 0.38/0.60 (define @t7 () (@list @t2 @t3)) % 0.38/0.60 (define @t8 () (@list @t2)) % 0.38/0.60 (define @t9 () (tptp.pair @t3 @t1)) % 0.38/0.60 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.38/0.60 (define @t11 () (= @t3 @t1)) % 0.38/0.60 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.38/0.60 (define @t13 () (@var "X" $$unsorted)) % 0.38/0.60 (define @t14 () (tptp.pair @t3 @t13)) % 0.38/0.60 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.38/0.60 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.38/0.60 (define @t17 () (@var "Y" $$unsorted)) % 0.38/0.60 (define @t18 () (forall (@list @t2 @t3 @t1 @t13 @t17) (= (tptp.pair_in_list @t15 @t1 @t17) (or (tptp.pair_in_list @t2 @t1 @t17) (and @t11 (= @t13 @t17)))))) % 0.38/0.60 (define @t19 () (and (not @t11) @t12)) % 0.38/0.60 (define @t20 () (tptp.update_slb @t2 @t1)) % 0.38/0.60 (define @t21 () (tptp.update_slb @t15 @t1)) % 0.38/0.60 (define @t22 () (= @t21 (tptp.insert_slb @t20 @t9))) % 0.38/0.60 (define @t23 () (tptp.strictly_less_than @t13 @t1)) % 0.38/0.60 (define @t24 () (forall @t16 (=> @t23 @t22))) % 0.38/0.60 (define @t25 () (= @t21 (tptp.insert_slb @t20 @t14))) % 0.38/0.60 (define @t26 () (tptp.less_than @t1 @t13)) % 0.38/0.60 (define @t27 () (forall @t16 (=> @t26 @t25))) % 0.38/0.60 (define @t28 () (@var "X1" $$unsorted)) % 0.38/0.60 (define @t29 () (@var "X3" $$unsorted)) % 0.38/0.60 (define @t30 () (@var "X2" $$unsorted)) % 0.38/0.60 (define @t31 () (tptp.insert_slb @t2 (tptp.pair @t30 @t29))) % 0.38/0.60 (define @t32 () (tptp.pair_in_list (tptp.update_slb @t31 @t28) @t17 @t28)) % 0.38/0.60 (define @t33 () (@var "Z" $$unsorted)) % 0.38/0.60 (define @t34 () (tptp.strictly_less_than @t33 @t28)) % 0.38/0.60 (define @t35 () (tptp.pair_in_list @t31 @t17 @t33)) % 0.38/0.60 (define @t36 () (and @t35 @t34)) % 0.38/0.60 (define @t37 () (@list @t17 @t33 @t28 @t30 @t29)) % 0.38/0.60 (define @t38 () (forall @t37 (=> @t36 @t32))) % 0.38/0.60 (define @t39 () (tptp.pair_in_list (tptp.update_slb @t2 @t13) @t3 @t13)) % 0.38/0.60 (define @t40 () (tptp.strictly_less_than @t1 @t13)) % 0.38/0.60 (define @t41 () (tptp.pair_in_list @t2 @t3 @t1)) % 0.38/0.60 (define @t42 () (and @t41 @t40)) % 0.38/0.60 (define @t43 () (@list @t3 @t1 @t13)) % 0.38/0.60 (define @t44 () (forall @t43 (=> @t42 @t39))) % 0.38/0.60 (define @t45 () (=> @t44 @t38)) % 0.38/0.60 (define @t46 () (forall @t8 @t45)) % 0.38/0.60 (define @t47 () (not @t46)) % 0.38/0.60 (define @t48 () (@var "BOUND_VARIABLE_7591" $$unsorted)) % 0.38/0.60 (define @t49 () (@var "BOUND_VARIABLE_7587" $$unsorted)) % 0.38/0.60 (define @t50 () (@var "BOUND_VARIABLE_7595" $$unsorted)) % 0.38/0.60 (define @t51 () (@var "BOUND_VARIABLE_7593" $$unsorted)) % 0.38/0.60 (define @t52 () (tptp.insert_slb @t2 (tptp.pair @t51 @t50))) % 0.38/0.60 (define @t53 () (tptp.pair_in_list (tptp.update_slb @t52 @t48) @t49 @t48)) % 0.38/0.60 (define @t54 () (@var "BOUND_VARIABLE_7589" $$unsorted)) % 0.38/0.60 (define @t55 () (not (tptp.strictly_less_than @t54 @t48))) % 0.38/0.60 (define @t56 () (not (tptp.pair_in_list @t52 @t49 @t54))) % 0.38/0.60 (define @t57 () (not @t40)) % 0.38/0.60 (define @t58 () (not @t41)) % 0.38/0.60 (define @t59 () (or @t58 @t57 @t39)) % 0.38/0.60 (define @t60 () (forall @t43 @t59)) % 0.38/0.60 (define @t61 () (not @t60)) % 0.38/0.60 (define @t62 () (or @t61 @t56 @t55 @t53)) % 0.38/0.60 (define @t63 () (@list @t2 @t49 @t54 @t48 @t51 @t50)) % 0.38/0.60 (define @t64 () (forall @t63 @t62)) % 0.38/0.60 (define @t65 () (@quantifiers_skolemize @t64 5)) % 0.38/0.60 (define @t66 () (@quantifiers_skolemize @t64 2)) % 0.38/0.60 (define @t67 () (@quantifiers_skolemize @t64 4)) % 0.38/0.60 (define @t68 () (@quantifiers_skolemize @t64 1)) % 0.38/0.60 (define @t69 () (= @t67 @t68)) % 0.38/0.60 (define @t70 () (and @t69 (= @t65 @t66))) % 0.38/0.60 (define @t71 () (@quantifiers_skolemize @t64 0)) % 0.38/0.60 (define @t72 () (tptp.pair_in_list @t71 @t68 @t66)) % 0.38/0.60 (define @t73 () (or @t72 @t70)) % 0.38/0.60 (define @t74 () (tptp.pair @t67 @t65)) % 0.38/0.60 (define @t75 () (tptp.insert_slb @t71 @t74)) % 0.38/0.60 (define @t76 () (tptp.pair_in_list @t75 @t68 @t66)) % 0.38/0.60 (define @t77 () (= @t76 @t73)) % 0.38/0.60 (define @t78 () (= @t66 @t65)) % 0.38/0.60 (define @t79 () (= @t68 @t67)) % 0.38/0.60 (define @t80 () (and @t79 @t78)) % 0.38/0.60 (define @t81 () (or @t72 @t80)) % 0.38/0.60 (define @t82 () (= @t76 @t81)) % 0.38/0.60 (define @t83 () (@list false)) % 0.38/0.60 (define @t84 () (@list @t18)) % 0.38/0.60 (define @t85 () (or @t56 @t55 @t53)) % 0.38/0.60 (define @t86 () (or @t61 @t85)) % 0.38/0.60 (define @t87 () (forall @t63 @t86)) % 0.38/0.60 (define @t88 () (@list @t49 @t54 @t48 @t51 @t50)) % 0.38/0.60 (define @t89 () (forall @t88 @t86)) % 0.38/0.60 (define @t90 () (forall @t88 @t85)) % 0.38/0.60 (define @t91 () (or @t61 @t90)) % 0.38/0.60 (define @t92 () (not @t34)) % 0.38/0.60 (define @t93 () (not @t35)) % 0.38/0.60 (define @t94 () (or @t93 @t92 @t32)) % 0.38/0.60 (define @t95 () (forall @t37 @t94)) % 0.38/0.60 (define @t96 () (@quantifiers_skolemize @t64 3)) % 0.38/0.60 (define @t97 () (tptp.update_slb @t75 @t96)) % 0.38/0.60 (define @t98 () (tptp.pair_in_list @t97 @t68 @t96)) % 0.38/0.60 (define @t99 () (tptp.strictly_less_than @t66 @t96)) % 0.38/0.60 (define @t100 () (not @t99)) % 0.38/0.60 (define @t101 () (not @t76)) % 0.38/0.60 (define @t102 () (forall @t43 (or (not (tptp.pair_in_list @t71 @t3 @t1)) @t57 (tptp.pair_in_list (tptp.update_slb @t71 @t13) @t3 @t13)))) % 0.38/0.60 (define @t103 () (not @t102)) % 0.38/0.60 (define @t104 () (or @t103 @t101 @t100 @t98)) % 0.38/0.60 (define @t105 () (@list true)) % 0.38/0.60 (define @t106 () (@list @t104)) % 0.38/0.60 (define @t107 () (@list false false)) % 0.38/0.60 (define @t108 () (and @t69 (= @t96 @t96))) % 0.38/0.60 (define @t109 () (tptp.update_slb @t71 @t96)) % 0.38/0.60 (define @t110 () (tptp.pair_in_list @t109 @t68 @t96)) % 0.38/0.60 (define @t111 () (or @t110 @t108)) % 0.38/0.60 (define @t112 () (tptp.insert_slb @t109 (tptp.pair @t67 @t96))) % 0.38/0.60 (define @t113 () (tptp.pair_in_list @t112 @t68 @t96)) % 0.38/0.60 (define @t114 () (= @t113 @t111)) % 0.38/0.60 (define @t115 () (or @t110 @t79)) % 0.38/0.60 (define @t116 () (= @t113 @t115)) % 0.38/0.60 (define @t117 () (@list @t71 @t67 @t96 @t65)) % 0.38/0.60 (define @t118 () (tptp.insert_slb @t109 @t74)) % 0.38/0.60 (define @t119 () (= @t97 @t118)) % 0.38/0.60 (define @t120 () (tptp.less_than @t96 @t65)) % 0.38/0.60 (define @t121 () (not @t120)) % 0.38/0.60 (define @t122 () (or @t121 @t119)) % 0.38/0.60 (define @t123 () (not @t98)) % 0.38/0.60 (define @t124 () (tptp.pair_in_list @t118 @t68 @t96)) % 0.38/0.60 (define @t125 () (not @t124)) % 0.38/0.60 (define @t126 () (not @t119)) % 0.38/0.60 (define @t127 () (not @t123)) % 0.38/0.60 (define @t128 () (and @t123 @t119)) % 0.38/0.60 (define @t129 () (and @t69 (= @t65 @t96))) % 0.38/0.60 (define @t130 () (or @t110 @t129)) % 0.38/0.60 (define @t131 () (= @t124 @t130)) % 0.38/0.60 (define @t132 () (or @t110 (and @t79 (= @t96 @t65)))) % 0.38/0.60 (define @t133 () (= @t124 @t132)) % 0.38/0.60 (define @t134 () (not @t110)) % 0.38/0.60 (define @t135 () (not @t72)) % 0.38/0.60 (define @t136 () (or @t135 @t100 @t110)) % 0.38/0.60 (define @t137 () (not @t80)) % 0.38/0.60 (define @t138 () (tptp.less_than @t96 @t66)) % 0.38/0.60 (define @t139 () (not @t138)) % 0.38/0.60 (define @t140 () (and (tptp.less_than @t66 @t96) @t139)) % 0.38/0.60 (define @t141 () (= @t99 @t140)) % 0.38/0.60 (define @t142 () (not @t78)) % 0.38/0.60 (define @t143 () (and @t120 @t78 @t139)) % 0.38/0.60 (define @t144 () (tptp.less_than @t65 @t96)) % 0.38/0.60 (define @t145 () (or @t120 @t144)) % 0.38/0.60 (define @t146 () (@list true false)) % 0.38/0.60 (define @t147 () (not @t144)) % 0.38/0.60 (define @t148 () (and @t144 @t121)) % 0.38/0.60 (define @t149 () (tptp.strictly_less_than @t65 @t96)) % 0.38/0.60 (define @t150 () (= @t149 @t148)) % 0.38/0.60 (define @t151 () (= @t97 @t112)) % 0.38/0.60 (define @t152 () (not @t149)) % 0.38/0.60 (define @t153 () (or @t152 @t151)) % 0.38/0.60 (define @t154 () (not @t113)) % 0.38/0.60 (define @t155 () (not @t151)) % 0.38/0.60 (define @t156 () (and @t123 @t151)) % 0.38/0.60 (define @t157 () (not @t115)) % 0.38/0.60 (define @t158 () (@list @t115)) % 0.38/0.60 (define @t159 () (not @t79)) % 0.38/0.60 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.38/0.60 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.38/0.60 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.38/0.60 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.38/0.60 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.38/0.60 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.38/0.60 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.38/0.60 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.38/0.60 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.38/0.60 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.38/0.60 (assume @p11 @t18) % 0.38/0.60 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.38/0.60 (assume @p13 (forall @t16 (=> @t19 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.38/0.60 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.38/0.60 (assume @p15 (forall @t16 (=> @t19 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.38/0.60 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.38/0.60 (assume @p17 @t24) % 0.38/0.60 (assume @p18 @t27) % 0.38/0.60 (assume @p19 @t47) % 0.38/0.60 (assume @p20 true) % 0.38/0.60 (step @p21 :rule eq-symm :args (@t65 @t66)) % 0.38/0.60 (step @p22 :rule eq-symm :args (@t67 @t68)) % 0.38/0.60 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t70)) % 0.38/0.60 (step @p24 :rule refl :args (@t72)) % 0.38/0.60 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t73)) % 0.38/0.60 (step @p26 :rule refl :args (@t76)) % 0.38/0.60 (step @p27 :rule cong :premises (@p26 @p25) :args (@t77)) % 0.38/0.60 (step @p28 :rule refl :args (@t18)) % 0.38/0.60 (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t18 @t77))) % 0.38/0.60 (assume-push @p271 @t18) % 0.38/0.60 (step @p31 :rule instantiate :premises (@p11) :args ((@list @t71 @t67 @t68 @t65 @t66))) % 0.38/0.60 (step-pop @p272 :rule scope :premises (@p31)) % 0.38/0.60 (step @p32 :rule process_scope :premises (@p272) :args (@t77)) % 0.38/0.60 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 0.38/0.60 (step @p35 :rule implies_elim :premises (@p34)) % 0.38/0.60 (step @p36 :rule chain_m_resolution :premises (@p35 @p11) :args (@t82 @t83 @t84)) % 0.38/0.60 (step @p37 :rule aci_norm :args ((= @t86 @t62))) % 0.38/0.60 (step @p38 :rule cong :premises (@p37) :args (@t87)) % 0.38/0.60 (step @p39 :rule quant-merge-prenex :args ((= (forall @t8 @t89) @t87))) % 0.38/0.60 (step @p40 :rule alpha_equiv :args (@t90 (@list @t49 @t54 @t48 @t51 @t50) (@list @t17 @t33 @t28 @t30 @t29))) % 0.38/0.60 (step @p41 :rule refl :args (@t61)) % 0.38/0.60 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t91)) % 0.38/0.60 (step @p43 :rule quant-miniscope-or :args ((= @t89 @t91))) % 0.38/0.60 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.60 (step @p45 :rule symm :premises (@p44)) % 0.38/0.60 (step @p46 :rule cong :premises (@p45) :args ((forall @t8 (or @t61 @t95)))) % 0.38/0.60 (step @p47 :rule trans :premises (@p46 @p39)) % 0.38/0.60 (step @p48 :rule trans :premises (@p47 @p38)) % 0.38/0.60 (step @p49 :rule bool-impl-elim :args (@t60 @t95)) % 0.38/0.60 (step @p50 :rule cong :premises (@p49) :args ((forall @t8 (=> @t60 @t95)))) % 0.38/0.60 (step @p51 :rule trans :premises (@p50 @p48)) % 0.38/0.60 (step @p52 :rule aci_norm :args ((= (or (or @t93 @t92) @t32) @t94))) % 0.38/0.60 (step @p53 :rule refl :args (@t32)) % 0.38/0.60 (step @p54 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.38/0.60 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or (not @t36) @t32))) % 0.38/0.60 (step @p56 :rule trans :premises (@p55 @p52)) % 0.38/0.60 (step @p57 :rule bool-impl-elim :args (@t36 @t32)) % 0.38/0.60 (step @p58 :rule trans :premises (@p57 @p56)) % 0.38/0.60 (step @p59 :rule cong :premises (@p58) :args (@t38)) % 0.38/0.60 (step @p60 :rule aci_norm :args ((= (or (or @t58 @t57) @t39) @t59))) % 0.38/0.60 (step @p61 :rule refl :args (@t39)) % 0.38/0.60 (step @p62 :rule bool-and-de-morgan :args (@t41 @t40 true)) % 0.38/0.60 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or (not @t42) @t39))) % 0.38/0.60 (step @p64 :rule trans :premises (@p63 @p60)) % 0.38/0.60 (step @p65 :rule bool-impl-elim :args (@t42 @t39)) % 0.38/0.60 (step @p66 :rule trans :premises (@p65 @p64)) % 0.38/0.60 (step @p67 :rule cong :premises (@p66) :args (@t44)) % 0.38/0.60 (step @p68 :rule cong :premises (@p67 @p59) :args (@t45)) % 0.38/0.60 (step @p69 :rule cong :premises (@p68) :args (@t46)) % 0.38/0.60 (step @p70 :rule trans :premises (@p69 @p51)) % 0.38/0.60 (step @p71 :rule cong :premises (@p70) :args (@t47)) % 0.38/0.60 (step @p72 :rule eq_resolve :premises (@p19 @p71)) % 0.38/0.60 (step @p73 :rule skolemize :premises (@p72)) % 0.38/0.60 (step @p74 :rule bool-double-not-elim :args (@t76)) % 0.38/0.60 (step @p75 :rule refl :args (@t104)) % 0.38/0.60 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or @t104 (not @t101)))) % 0.38/0.60 (step @p77 :rule cnf_or_neg :args (@t104 1)) % 0.38/0.60 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.38/0.60 (step @p79 :rule reordering :premises (@p78) :args ((or @t76 @t104))) % 0.38/0.60 (step @p80 :rule chain_m_resolution :premises (@p79 @p73) :args (@t76 @t105 @t106)) % 0.38/0.60 (step @p81 :rule cnf_equiv_pos1 :args (@t82)) % 0.38/0.60 (step @p82 :rule reordering :premises (@p81) :args ((or @t101 @t81 (not @t82)))) % 0.38/0.60 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p36) :args (@t81 @t107 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@t154))) % 0.38/0.60 (assume-push @p297 @t123) % 0.38/0.60 (assume-push @p298 @t151) % 0.38/0.60 (assume-push @p299 @t123) % 0.38/0.60 (assume-push @p300 @t151) % 0.38/0.60 (step @p129 :rule false_intro :premises (@p120)) % 0.38/0.60 (step @p130 :rule refl :args (@t96)) % 0.38/0.60 (step @p131 :rule refl :args (@t68)) % 0.38/0.60 (step @p240 :rule symm :premises (@p298)) % 0.38/0.60 (step @p241 :rule cong :premises (@p240 @p131 @p130) :args (@t113)) % 0.38/0.60 (step @p242 :rule trans :premises (@p241 @p129)) % 0.38/0.60 (step @p243 :rule false_elim :premises (@p242)) % 0.38/0.60 (step-pop @p301 :rule scope :premises (@p243)) % 0.38/0.60 (step-pop @p302 :rule scope :premises (@p301)) % 0.38/0.60 (step @p244 :rule process_scope :premises (@p302) :args (@t154)) % 0.38/0.60 (step @p247 :rule and_intro :premises (@p120 @p298)) % 0.38/0.60 (step @p248 :rule modus_ponens :premises (@p247 @p244)) % 0.38/0.60 (step-pop @p303 :rule scope :premises (@p248)) % 0.38/0.60 (step-pop @p304 :rule scope :premises (@p303)) % 0.38/0.60 (step @p249 :rule process_scope :premises (@p304) :args (@t154)) % 0.38/0.60 (step @p252 :rule implies_elim :premises (@p249)) % 0.38/0.60 (step @p253 :rule cnf_and_neg :args (@t156)) % 0.38/0.60 (step @p254 :rule resolution :premises (@p253 @p252) :args (true @t156)) % 0.38/0.60 (step @p255 :rule eq_resolve :premises (@p254 @p235)) % 0.38/0.60 (step @p256 :rule chain_m_resolution :premises (@p255 @p120 @p232) :args (@t154 @t146 (@list @t98 @t151))) % 0.38/0.60 (step @p257 :rule cnf_equiv_pos2 :args (@t116)) % 0.38/0.60 (step @p258 :rule reordering :premises (@p257) :args ((or @t113 @t157 (not @t116)))) % 0.38/0.60 (step @p259 :rule chain_m_resolution :premises (@p258 @p256 @p106) :args (@t157 @t146 (@list @t113 @t116))) % 0.38/0.60 (step @p260 :rule cnf_or_neg :args (@t115 0)) % 0.38/0.60 (step @p261 :rule reordering :premises (@p260) :args ((or @t134 @t115))) % 0.38/0.60 (step @p262 :rule chain_m_resolution :premises (@p261 @p259) :args (@t134 @t105 @t158)) % 0.38/0.60 (step @p263 :rule chain_m_resolution :premises (@p172 @p170 @p262 @p90) :args (@t135 (@list false true false) (@list @t99 @t110 @t136))) % 0.38/0.60 (step @p264 :rule cnf_or_neg :args (@t115 1)) % 0.38/0.60 (step @p265 :rule reordering :premises (@p264) :args ((or @t159 @t115))) % 0.38/0.60 (step @p266 :rule chain_m_resolution :premises (@p265 @p259) :args (@t159 @t105 @t158)) % 0.38/0.60 (step @p267 :rule cnf_and_pos :args (@t80 0)) % 0.38/0.60 (step @p268 :rule reordering :premises (@p267) :args ((or @t79 @t137))) % 0.38/0.60 (step @p269 :rule chain_m_resolution :premises (@p268 @p266) :args (@t137 @t105 (@list @t79))) % 0.38/0.60 (step @p270 false :rule chain_m_resolution :premises (@p174 @p269 @p263 @p83) :args (false (@list true true false) (@list @t80 @t72 @t81))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------