%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV409+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 : n019.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 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV409+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 20:06:49 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.create_slb $$unsorted) % 0.38/0.58 (declare-const tptp.bottom $$unsorted) % 0.38/0.58 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "W" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.58 (define @t3 () (@var "V" $$unsorted)) % 0.38/0.58 (define @t4 () (tptp.less_than @t2 @t3)) % 0.38/0.58 (define @t5 () (@list @t2 @t3 @t1)) % 0.38/0.58 (define @t6 () (tptp.less_than @t3 @t2)) % 0.38/0.58 (define @t7 () (@list @t2 @t3)) % 0.38/0.58 (define @t8 () (@list @t2)) % 0.38/0.58 (define @t9 () (tptp.pair @t3 @t1)) % 0.38/0.58 (define @t10 () (tptp.insert_slb @t2 @t9)) % 0.38/0.58 (define @t11 () (= @t3 @t1)) % 0.38/0.58 (define @t12 () (tptp.contains_slb @t2 @t1)) % 0.38/0.58 (define @t13 () (@var "X" $$unsorted)) % 0.38/0.58 (define @t14 () (tptp.pair @t3 @t13)) % 0.38/0.58 (define @t15 () (tptp.insert_slb @t2 @t14)) % 0.38/0.58 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 0.38/0.58 (define @t17 () (@var "Y" $$unsorted)) % 0.38/0.58 (define @t18 () (and (not @t11) @t12)) % 0.38/0.58 (define @t19 () (tptp.update_slb @t2 @t1)) % 0.38/0.58 (define @t20 () (tptp.update_slb @t15 @t1)) % 0.38/0.58 (define @t21 () (tptp.less_than @t1 @t13)) % 0.38/0.58 (define @t22 () (tptp.pair_in_list @t2 @t3 @t1)) % 0.38/0.58 (define @t23 () (@list @t1)) % 0.38/0.58 (define @t24 () (exists @t23 @t22)) % 0.38/0.58 (define @t25 () (tptp.contains_slb @t2 @t3)) % 0.38/0.58 (define @t26 () (=> @t25 @t24)) % 0.38/0.58 (define @t27 () (forall @t7 @t26)) % 0.38/0.58 (define @t28 () (tptp.update_slb @t2 @t13)) % 0.38/0.58 (define @t29 () (tptp.pair_in_list @t28 @t3 @t13)) % 0.38/0.59 (define @t30 () (tptp.strictly_less_than @t1 @t13)) % 0.38/0.59 (define @t31 () (tptp.strictly_less_than @t3 @t13)) % 0.38/0.59 (define @t32 () (and @t22 @t31 @t30)) % 0.38/0.59 (define @t33 () (forall @t16 (=> @t32 @t29))) % 0.38/0.59 (define @t34 () (tptp.less_than @t13 @t17)) % 0.38/0.59 (define @t35 () (tptp.pair_in_list @t28 @t3 @t17)) % 0.38/0.59 (define @t36 () (and @t35 @t34)) % 0.38/0.59 (define @t37 () (@list @t17)) % 0.38/0.59 (define @t38 () (exists @t37 @t36)) % 0.38/0.59 (define @t39 () (tptp.less_than @t13 @t1)) % 0.38/0.59 (define @t40 () (and @t22 @t31 @t39)) % 0.38/0.59 (define @t41 () (=> @t40 @t38)) % 0.38/0.59 (define @t42 () (forall @t16 @t41)) % 0.38/0.59 (define @t43 () (tptp.pair_in_list @t19 @t3 @t13)) % 0.38/0.59 (define @t44 () (and @t43 @t21)) % 0.38/0.59 (define @t45 () (@list @t13)) % 0.38/0.59 (define @t46 () (exists @t45 @t44)) % 0.38/0.59 (define @t47 () (tptp.pair_in_list @t19 @t3 @t1)) % 0.38/0.59 (define @t48 () (or @t47 @t46)) % 0.38/0.59 (define @t49 () (tptp.strictly_less_than @t3 @t1)) % 0.38/0.59 (define @t50 () (and @t25 @t49)) % 0.38/0.59 (define @t51 () (=> @t50 @t48)) % 0.38/0.59 (define @t52 () (forall @t5 @t51)) % 0.38/0.59 (define @t53 () (not @t52)) % 0.38/0.59 (define @t54 () (not (forall @t37 (or (not @t35) (not @t34))))) % 0.38/0.59 (define @t55 () (not @t39)) % 0.38/0.59 (define @t56 () (not @t31)) % 0.38/0.59 (define @t57 () (not @t22)) % 0.38/0.59 (define @t58 () (or @t57 @t56 @t55)) % 0.38/0.59 (define @t59 () (forall @t37 (not @t36))) % 0.38/0.59 (define @t60 () (not @t59)) % 0.38/0.59 (define @t61 () (not (forall @t45 (or (not @t43) (not @t21))))) % 0.38/0.59 (define @t62 () (not @t49)) % 0.38/0.59 (define @t63 () (not @t25)) % 0.38/0.59 (define @t64 () (or @t63 @t62 @t47 @t61)) % 0.38/0.59 (define @t65 () (forall @t5 @t64)) % 0.38/0.59 (define @t66 () (@quantifiers_skolemize @t65 2)) % 0.38/0.59 (define @t67 () (@quantifiers_skolemize @t65 1)) % 0.38/0.59 (define @t68 () (@quantifiers_skolemize @t65 0)) % 0.38/0.59 (define @t69 () (forall @t23 (not (tptp.pair_in_list @t68 @t67 @t1)))) % 0.38/0.59 (define @t70 () (@quantifiers_skolemize @t69 0)) % 0.38/0.59 (define @t71 () (@list @t68 @t67 @t70 @t66)) % 0.38/0.59 (define @t72 () (or @t47 @t61)) % 0.38/0.59 (define @t73 () (forall @t45 (not @t44))) % 0.38/0.59 (define @t74 () (not @t73)) % 0.38/0.59 (define @t75 () (tptp.update_slb @t68 @t66)) % 0.38/0.59 (define @t76 () (forall @t45 (or (not (tptp.pair_in_list @t75 @t67 @t13)) (not (tptp.less_than @t66 @t13))))) % 0.38/0.59 (define @t77 () (not @t76)) % 0.38/0.59 (define @t78 () (tptp.pair_in_list @t75 @t67 @t66)) % 0.38/0.59 (define @t79 () (tptp.strictly_less_than @t67 @t66)) % 0.38/0.59 (define @t80 () (not @t79)) % 0.38/0.59 (define @t81 () (tptp.contains_slb @t68 @t67)) % 0.38/0.59 (define @t82 () (not @t81)) % 0.38/0.59 (define @t83 () (or @t82 @t80 @t78 @t77)) % 0.38/0.59 (define @t84 () (@list true)) % 0.38/0.59 (define @t85 () (@list @t83)) % 0.38/0.59 (define @t86 () (forall @t37 (or (not (tptp.pair_in_list @t75 @t67 @t17)) (not (tptp.less_than @t66 @t17))))) % 0.38/0.59 (define @t87 () (not (forall @t23 @t57))) % 0.38/0.59 (define @t88 () (not @t69)) % 0.38/0.59 (define @t89 () (or @t82 @t88)) % 0.38/0.59 (define @t90 () (tptp.pair_in_list @t68 @t67 @t70)) % 0.38/0.59 (define @t91 () (not @t90)) % 0.38/0.59 (define @t92 () (not @t91)) % 0.38/0.59 (define @t93 () (not @t86)) % 0.38/0.59 (define @t94 () (tptp.less_than @t66 @t70)) % 0.38/0.59 (define @t95 () (not @t94)) % 0.38/0.59 (define @t96 () (or @t91 @t80 @t95 @t93)) % 0.38/0.59 (define @t97 () (tptp.less_than @t70 @t66)) % 0.38/0.59 (define @t98 () (or @t94 @t97)) % 0.38/0.59 (define @t99 () (@list true false)) % 0.38/0.59 (define @t100 () (not @t30)) % 0.38/0.59 (define @t101 () (or @t57 @t56 @t100)) % 0.38/0.59 (define @t102 () (tptp.strictly_less_than @t70 @t66)) % 0.38/0.59 (define @t103 () (not @t102)) % 0.38/0.59 (define @t104 () (or @t91 @t80 @t103 @t78)) % 0.38/0.59 (define @t105 () (and @t97 @t95)) % 0.38/0.59 (define @t106 () (= @t102 @t105)) % 0.38/0.59 (define @t107 () (not @t105)) % 0.38/0.59 (define @t108 () (not @t97)) % 0.38/0.59 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 0.38/0.59 (assume @p2 (forall @t7 (or @t4 @t6))) % 0.38/0.59 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 0.38/0.59 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 0.38/0.59 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 0.38/0.59 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.38/0.59 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 0.38/0.59 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.38/0.59 (assume @p9 (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 0.38/0.59 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 0.38/0.59 (assume @p11 (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)))))) % 0.38/0.59 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 0.38/0.59 (assume @p13 (forall @t16 (=> @t18 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 0.38/0.59 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 0.38/0.59 (assume @p15 (forall @t16 (=> @t18 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.38/0.59 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.38/0.59 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t20 (tptp.insert_slb @t19 @t9))))) % 0.38/0.59 (assume @p18 (forall @t16 (=> @t21 (= @t20 (tptp.insert_slb @t19 @t14))))) % 0.38/0.59 (assume @p19 @t27) % 0.38/0.59 (assume @p20 @t33) % 0.38/0.59 (assume @p21 @t42) % 0.38/0.59 (assume @p22 @t53) % 0.38/0.59 (assume @p23 true) % 0.38/0.59 (step @p24 :rule aci_norm :args ((= (or @t58 @t54) (or @t57 @t56 @t55 @t54)))) % 0.38/0.59 (step @p25 :rule refl :args (@t54)) % 0.38/0.59 (step @p26 :rule aci_norm :args ((= (or @t57 (or @t56 @t55)) @t58))) % 0.38/0.59 (step @p27 :rule bool-and-de-morgan :args (@t31 @t39 true)) % 0.38/0.59 (step @p28 :rule refl :args (@t57)) % 0.38/0.59 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t57 (not (and @t31 @t39))))) % 0.38/0.59 (step @p30 :rule bool-and-de-morgan :args (@t22 @t31 (and @t39))) % 0.38/0.59 (step @p31 :rule trans :premises (@p30 @p29)) % 0.38/0.59 (step @p32 :rule trans :premises (@p31 @p26)) % 0.38/0.59 (step @p33 :rule nary_cong :premises (@p32 @p25) :args ((or (not @t40) @t54))) % 0.38/0.59 (step @p34 :rule trans :premises (@p33 @p24)) % 0.38/0.59 (step @p35 :rule bool-impl-elim :args (@t40 @t54)) % 0.38/0.59 (step @p36 :rule trans :premises (@p35 @p34)) % 0.38/0.59 (step @p37 :rule cong :premises (@p36) :args ((forall @t16 (=> @t40 @t54)))) % 0.38/0.59 (step @p38 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.38/0.59 (step @p39 :rule cong :premises (@p38) :args (@t59)) % 0.38/0.59 (step @p40 :rule cong :premises (@p39) :args (@t60)) % 0.38/0.59 (step @p41 :rule exists-elim :args ((= @t38 @t60))) % 0.38/0.59 (step @p42 :rule trans :premises (@p41 @p40)) % 0.38/0.59 (step @p43 :rule refl :args (@t40)) % 0.38/0.59 (step @p44 :rule cong :premises (@p43 @p42) :args (@t41)) % 0.38/0.59 (step @p45 :rule cong :premises (@p44) :args (@t42)) % 0.38/0.59 (step @p46 :rule trans :premises (@p45 @p37)) % 0.38/0.59 (step @p47 :rule eq_resolve :premises (@p21 @p46)) % 0.38/0.59 (step @p48 :rule instantiate :premises (@p47) :args (@t71)) % 0.38/0.59 (step @p49 :rule aci_norm :args ((= (or (or @t63 @t62) @t72) @t64))) % 0.38/0.59 (step @p50 :rule refl :args (@t72)) % 0.38/0.59 (step @p51 :rule bool-and-de-morgan :args (@t25 @t49 true)) % 0.38/0.59 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or (not @t50) @t72))) % 0.38/0.59 (step @p53 :rule trans :premises (@p52 @p49)) % 0.38/0.59 (step @p54 :rule bool-impl-elim :args (@t50 @t72)) % 0.38/0.59 (step @p55 :rule trans :premises (@p54 @p53)) % 0.38/0.59 (step @p56 :rule cong :premises (@p55) :args ((forall @t5 (=> @t50 @t72)))) % 0.38/0.59 (step @p57 :rule bool-and-de-morgan :args (@t43 @t21 true)) % 0.38/0.59 (step @p58 :rule cong :premises (@p57) :args (@t73)) % 0.38/0.59 (step @p59 :rule cong :premises (@p58) :args (@t74)) % 0.38/0.59 (step @p60 :rule exists-elim :args ((= @t46 @t74))) % 0.38/0.59 (step @p61 :rule trans :premises (@p60 @p59)) % 0.38/0.59 (step @p62 :rule refl :args (@t47)) % 0.38/0.59 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t48)) % 0.38/0.59 (step @p64 :rule refl :args (@t50)) % 0.38/0.59 (step @p65 :rule cong :premises (@p64 @p63) :args (@t51)) % 0.38/0.59 (step @p66 :rule cong :premises (@p65) :args (@t52)) % 0.38/0.59 (step @p67 :rule trans :premises (@p66 @p56)) % 0.38/0.59 (step @p68 :rule cong :premises (@p67) :args (@t53)) % 0.38/0.59 (step @p69 :rule eq_resolve :premises (@p22 @p68)) % 0.38/0.59 (step @p70 :rule skolemize :premises (@p69)) % 0.38/0.59 (step @p71 :rule bool-double-not-elim :args (@t76)) % 0.38/0.59 (step @p72 :rule refl :args (@t83)) % 0.38/0.59 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t83 (not @t77)))) % 0.38/0.59 (step @p74 :rule cnf_or_neg :args (@t83 3)) % 0.38/0.59 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.38/0.59 (step @p76 :rule reordering :premises (@p75) :args ((or @t76 @t83))) % 0.38/0.59 (step @p77 :rule chain_m_resolution :premises (@p76 @p70) :args (@t76 @t84 @t85)) % 0.38/0.59 (step @p78 :rule alpha_equiv :args (@t76 (@list @t13) (@list @t17))) % 0.38/0.59 (step @p79 :rule equiv_elim1 :premises (@p78)) % 0.38/0.59 (step @p80 :rule chain_m_resolution :premises (@p79 @p77) :args (@t86 (@list false) (@list @t76))) % 0.38/0.59 (step @p81 :rule bool-impl-elim :args (@t25 @t87)) % 0.38/0.59 (step @p82 :rule cong :premises (@p81) :args ((forall @t7 (=> @t25 @t87)))) % 0.38/0.59 (step @p83 :rule exists-elim :args ((= @t24 @t87))) % 0.38/0.59 (step @p84 :rule refl :args (@t25)) % 0.38/0.59 (step @p85 :rule cong :premises (@p84 @p83) :args (@t26)) % 0.38/0.59 (step @p86 :rule cong :premises (@p85) :args (@t27)) % 0.38/0.59 (step @p87 :rule trans :premises (@p86 @p82)) % 0.38/0.59 (step @p88 :rule eq_resolve :premises (@p19 @p87)) % 0.38/0.59 (step @p89 :rule instantiate :premises (@p88) :args ((@list @t68 @t67))) % 0.38/0.59 (step @p90 :rule bool-double-not-elim :args (@t81)) % 0.38/0.59 (step @p91 :rule nary_cong :premises (@p72 @p90) :args ((or @t83 (not @t82)))) % 0.38/0.59 (step @p92 :rule cnf_or_neg :args (@t83 0)) % 0.38/0.59 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.38/0.59 (step @p94 :rule reordering :premises (@p93) :args ((or @t81 @t83))) % 0.38/0.59 (step @p95 :rule chain_m_resolution :premises (@p94 @p70) :args (@t81 @t84 @t85)) % 0.38/0.59 (step @p96 :rule cnf_or_pos :args (@t89)) % 0.38/0.59 (step @p97 :rule reordering :premises (@p96) :args ((or @t82 @t88 (not @t89)))) % 0.38/0.59 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p89) :args (@t88 (@list false false) (@list @t81 @t89))) % 0.38/0.59 (step @p99 :rule refl :args (@t90)) % 0.38/0.59 (step @p100 :rule bool-double-not-elim :args (@t69)) % 0.38/0.59 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or (not @t88) @t90))) % 0.38/0.59 (step @p102 :rule bool-double-not-elim :args (@t90)) % 0.38/0.59 (step @p103 :rule refl :args (@t88)) % 0.38/0.59 (step @p104 :rule cong :premises (@p103 @p102) :args ((=> @t88 @t92))) % 0.38/0.59 (assume-push @p158 @t88) % 0.38/0.59 (step @p106 :rule skolemize :premises (@p98)) % 0.38/0.59 (step-pop @p159 :rule scope :premises (@p106)) % 0.38/0.59 (step @p107 :rule process_scope :premises (@p159) :args (@t92)) % 0.38/0.59 (step @p109 :rule eq_resolve :premises (@p107 @p104)) % 0.38/0.59 (step @p110 :rule implies_elim :premises (@p109)) % 0.38/0.59 (step @p111 :rule eq_resolve :premises (@p110 @p101)) % 0.38/0.59 (step @p112 :rule chain_m_resolution :premises (@p111 @p98) :args (@t90 @t84 (@list @t69))) % 0.38/0.59 (step @p113 :rule bool-double-not-elim :args (@t79)) % 0.38/0.59 (step @p114 :rule nary_cong :premises (@p72 @p113) :args ((or @t83 (not @t80)))) % 0.38/0.59 (step @p115 :rule cnf_or_neg :args (@t83 1)) % 0.38/0.59 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.38/0.59 (step @p117 :rule reordering :premises (@p116) :args ((or @t79 @t83))) % 0.38/0.59 (step @p118 :rule chain_m_resolution :premises (@p117 @p70) :args (@t79 @t84 @t85)) % 0.38/0.59 (step @p119 :rule cnf_or_pos :args (@t96)) % 0.38/0.59 (step @p120 :rule reordering :premises (@p119) :args ((or @t80 @t91 @t95 @t93 (not @t96)))) % 0.38/0.59 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p112 @p80 @p48) :args (@t95 (@list false false false false) (@list @t79 @t90 @t86 @t96))) % 0.38/0.59 (step @p122 :rule instantiate :premises (@p2) :args ((@list @t66 @t70))) % 0.38/0.59 (step @p123 :rule cnf_or_pos :args (@t98)) % 0.38/0.59 (step @p124 :rule reordering :premises (@p123) :args ((or @t94 @t97 (not @t98)))) % 0.38/0.59 (step @p125 :rule chain_m_resolution :premises (@p124 @p121 @p122) :args (@t97 @t99 (@list @t94 @t98))) % 0.38/0.59 (step @p126 :rule instantiate :premises (@p4) :args ((@list @t70 @t66))) % 0.38/0.59 (step @p127 :rule aci_norm :args ((= (or @t101 @t29) (or @t57 @t56 @t100 @t29)))) % 0.38/0.59 (step @p128 :rule refl :args (@t29)) % 0.38/0.59 (step @p129 :rule aci_norm :args ((= (or @t57 (or @t56 @t100)) @t101))) % 0.38/0.59 (step @p130 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 0.38/0.59 (step @p131 :rule nary_cong :premises (@p28 @p130) :args ((or @t57 (not (and @t31 @t30))))) % 0.38/0.59 (step @p132 :rule bool-and-de-morgan :args (@t22 @t31 (and @t30))) % 0.38/0.59 (step @p133 :rule trans :premises (@p132 @p131)) % 0.38/0.59 (step @p134 :rule trans :premises (@p133 @p129)) % 0.38/0.59 (step @p135 :rule nary_cong :premises (@p134 @p128) :args ((or (not @t32) @t29))) % 0.38/0.59 (step @p136 :rule trans :premises (@p135 @p127)) % 0.38/0.59 (step @p137 :rule bool-impl-elim :args (@t32 @t29)) % 0.38/0.59 (step @p138 :rule trans :premises (@p137 @p136)) % 0.38/0.59 (step @p139 :rule cong :premises (@p138) :args (@t33)) % 0.38/0.59 (step @p140 :rule eq_resolve :premises (@p20 @p139)) % 0.38/0.59 (step @p141 :rule instantiate :premises (@p140) :args (@t71)) % 0.38/0.59 (step @p142 :rule cnf_or_neg :args (@t83 2)) % 0.38/0.59 (step @p143 :rule chain_m_resolution :premises (@p142 @p70) :args ((not @t78) @t84 @t85)) % 0.38/0.59 (step @p144 :rule cnf_or_pos :args (@t104)) % 0.38/0.59 (step @p145 :rule reordering :premises (@p144) :args ((or @t80 @t78 @t91 @t103 (not @t104)))) % 0.38/0.59 (step @p146 :rule chain_m_resolution :premises (@p145 @p118 @p143 @p112 @p141) :args (@t103 (@list false true false false) (@list @t79 @t78 @t90 @t104))) % 0.38/0.59 (step @p147 :rule cnf_equiv_pos2 :args (@t106)) % 0.38/0.59 (step @p148 :rule reordering :premises (@p147) :args ((or @t102 @t107 (not @t106)))) % 0.38/0.59 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p126) :args (@t107 @t99 (@list @t102 @t106))) % 0.38/0.59 (step @p150 :rule bool-double-not-elim :args (@t94)) % 0.38/0.59 (step @p151 :rule refl :args (@t108)) % 0.38/0.59 (step @p152 :rule refl :args (@t105)) % 0.38/0.59 (step @p153 :rule nary_cong :premises (@p152 @p151 @p150) :args ((or @t105 @t108 (not @t95)))) % 0.38/0.59 (step @p154 :rule cnf_and_neg :args (@t105)) % 0.38/0.59 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 0.38/0.59 (step @p156 :rule reordering :premises (@p155) :args ((or @t94 @t105 @t108))) % 0.38/0.59 (step @p157 false :rule chain_m_resolution :premises (@p156 @p149 @p125 @p121) :args (false (@list true false true) (@list @t105 @t97 @t94))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------