%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR129^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:13:02 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 : CSR129^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n010.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Mon Jun 1 21:57:10 EDT 2026 % 0.18/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.38/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 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 $$unsorted 0) % 0.38/0.58 (declare-const tptp.lBob_THFTYPE_i $$unsorted) % 0.38/0.58 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.38/0.58 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.38/0.58 (declare-const tptp.lBen_THFTYPE_i $$unsorted) % 0.38/0.58 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.38/0.58 (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.n2009_THFTYPE_i $$unsorted) % 0.38/0.58 (declare-const tptp.parent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.38/0.58 (declare-const tptp.lAnna_THFTYPE_i $$unsorted) % 0.38/0.58 (define @t1 () (_ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 0.38/0.58 (define @t2 () (_ @t1 tptp.lAnna_THFTYPE_i)) % 0.38/0.58 (define @t3 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.38/0.58 (define @t4 () (_ tptp.holdsDuring_THFTYPE_IiooI @t3)) % 0.38/0.58 (define @t5 () (_ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.38/0.58 (define @t6 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.38/0.58 (define @t7 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.38/0.58 (define @t8 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.38/0.58 (define @t9 () (_ (_ @t8 tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.38/0.58 (define @t10 () (_ (_ @t8 tptp.lSue_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.38/0.58 (define @t11 () (and @t10 @t9)) % 0.38/0.58 (define @t12 () (_ @t4 @t11)) % 0.38/0.58 (define @t13 () (@list @t8)) % 0.38/0.58 (define @t14 () (exists @t13 @t12)) % 0.38/0.58 (define @t15 () (not @t14)) % 0.38/0.58 (define @t16 () (@purify @t7)) % 0.38/0.58 (define @t17 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.38/0.58 (define @t18 () (tptp.holdsDuring_THFTYPE_IiooI @t17 @t16)) % 0.38/0.58 (define @t19 () (_ tptp.holdsDuring_THFTYPE_IiooI @t17)) % 0.38/0.58 (define @t20 () (= @t7 @t16)) % 0.38/0.58 (define @t21 () (_ @t8 tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.38/0.58 (define @t22 () (_ @t8 tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.38/0.58 (define @t23 () (and @t22 @t21)) % 0.38/0.58 (define @t24 () (tptp.holdsDuring_THFTYPE_IiooI @t17 @t23)) % 0.38/0.58 (define @t25 () (forall @t13 (not @t24))) % 0.38/0.58 (define @t26 () (not @t12)) % 0.38/0.58 (define @t27 () (forall @t13 @t26)) % 0.38/0.58 (define @t28 () (not @t27)) % 0.38/0.58 (define @t29 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.38/0.58 (define @t30 () (@purify @t29)) % 0.38/0.58 (define @t31 () (tptp.holdsDuring_THFTYPE_IiooI @t17 @t29)) % 0.38/0.58 (define @t32 () (not @t31)) % 0.38/0.58 (define @t33 () (@var "BOUND_VARIABLE_7968" $$unsorted)) % 0.38/0.58 (define @t34 () (@list (@var "BOUND_VARIABLE_7967" $$unsorted) @t33)) % 0.38/0.58 (define @t35 () (lambda @t34 (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i @t33))) % 0.38/0.58 (define @t36 () (_ @t35 tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.38/0.58 (define @t37 () (_ @t35 tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.38/0.58 (define @t38 () (and @t37 @t36)) % 0.38/0.58 (define @t39 () (tptp.holdsDuring_THFTYPE_IiooI @t17 @t38)) % 0.38/0.58 (define @t40 () (not @t39)) % 0.38/0.58 (define @t41 () (tptp.holdsDuring_THFTYPE_IiooI @t17 @t30)) % 0.38/0.58 (define @t42 () (not @t41)) % 0.38/0.58 (define @t43 () (@list false)) % 0.38/0.58 (define @t44 () (@list @t25)) % 0.38/0.58 (define @t45 () (@purify @t2)) % 0.38/0.58 (define @t46 () (tptp.holdsDuring_THFTYPE_IiooI @t17 @t45)) % 0.38/0.58 (define @t47 () (tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.38/0.58 (define @t48 () (@purify @t47)) % 0.38/0.58 (define @t49 () (tptp.holdsDuring_THFTYPE_IiooI @t17 @t47)) % 0.38/0.58 (define @t50 () (not @t49)) % 0.38/0.58 (define @t51 () (lambda @t34 (tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i @t33))) % 0.38/0.58 (define @t52 () (_ @t51 tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.38/0.58 (define @t53 () (_ @t51 tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.38/0.58 (define @t54 () (and @t53 @t52)) % 0.38/0.58 (define @t55 () (tptp.holdsDuring_THFTYPE_IiooI @t17 @t54)) % 0.38/0.58 (define @t56 () (not @t55)) % 0.38/0.58 (define @t57 () (tptp.holdsDuring_THFTYPE_IiooI @t17 @t48)) % 0.38/0.58 (define @t58 () (not @t57)) % 0.38/0.58 (define @t59 () (not @t48)) % 0.38/0.58 (define @t60 () (not @t46)) % 0.38/0.58 (define @t61 () (not @t45)) % 0.38/0.58 (define @t62 () (not @t58)) % 0.38/0.58 (define @t63 () (= false true)) % 0.38/0.58 (define @t64 () (and @t46 @t45 @t48 @t58)) % 0.38/0.58 (define @t65 () (not @t30)) % 0.38/0.58 (define @t66 () (not @t42)) % 0.38/0.58 (define @t67 () (and @t46 @t45 @t30 @t42)) % 0.38/0.58 (define @t68 () (not @t16)) % 0.38/0.58 (define @t69 () (not @t18)) % 0.38/0.58 (define @t70 () (= true false)) % 0.38/0.58 (define @t71 () (and @t58 @t59 @t68 @t18)) % 0.38/0.58 (define @t72 () (and @t46 @t61 @t65 @t42)) % 0.38/0.58 (define @t73 () (and @t42 @t30 @t16 @t18)) % 0.38/0.58 (assume @p1 (_ @t4 @t2)) % 0.38/0.58 (assume @p2 (_ @t4 (_ @t5 tptp.lBen_THFTYPE_i))) % 0.38/0.58 (assume @p3 (_ @t4 (_ @t6 tptp.lBill_THFTYPE_i))) % 0.38/0.58 (assume @p4 (_ @t4 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i))) % 0.38/0.58 (assume @p5 (_ @t4 @t7)) % 0.38/0.58 (assume @p6 (_ @t4 (_ @t5 tptp.lAnna_THFTYPE_i))) % 0.38/0.58 (assume @p7 (_ @t4 (_ @t1 tptp.lBen_THFTYPE_i))) % 0.38/0.58 (assume @p8 (_ @t4 (not (_ @t6 tptp.lMary_THFTYPE_i)))) % 0.38/0.58 (assume @p9 @t15) % 0.38/0.58 (assume @p10 true) % 0.38/0.58 (step @p11 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t16))) % 0.38/0.58 (step @p12 :rule refl :args (@t16)) % 0.38/0.58 (step @p13 :rule refl :args (@t17)) % 0.38/0.58 (step @p14 :rule cong :premises (@p13 @p12) :args (@t18)) % 0.38/0.58 (step @p15 :rule trans :premises (@p14 @p11)) % 0.38/0.58 (step @p16 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.38/0.58 (step @p17 :rule ho_cong :premises (@p16 @p13)) % 0.38/0.58 (step @p18 :rule ho_cong :premises (@p17 @p12)) % 0.38/0.58 (step @p19 :rule cong :premises (@p18 @p15) :args ((= (_ @t19 @t16) @t18))) % 0.38/0.58 (step @p20 :rule symm :premises (@p19)) % 0.38/0.58 (step @p21 :rule refl :args ((_ @t4 @t16))) % 0.38/0.58 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.38/0.58 (step @p23 :rule eq-refl :args (@t7)) % 0.38/0.58 (step @p24 :rule skolem_intro :args (@t16)) % 0.38/0.58 (step @p25 :rule refl :args (@t7)) % 0.38/0.58 (step @p26 :rule cong :premises (@p25 @p24) :args (@t20)) % 0.38/0.58 (step @p27 :rule trans :premises (@p26 @p23)) % 0.38/0.58 (step @p28 :rule true_elim :premises (@p27)) % 0.38/0.58 (step @p29 :rule refl :args (@t3)) % 0.38/0.58 (step @p30 :rule cong :premises (@p29 @p13) :args ((= @t3 @t17))) % 0.38/0.58 (step @p31 :rule symm :premises (@p30)) % 0.38/0.58 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.38/0.58 (step @p33 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.38/0.58 (step @p34 :rule ho_cong :premises (@p33 @p32)) % 0.38/0.58 (step @p35 :rule ho_cong :premises (@p34 @p28)) % 0.38/0.58 (step @p36 :rule trans :premises (@p35 @p22)) % 0.38/0.58 (step @p37 :rule eq_resolve :premises (@p5 @p36)) % 0.38/0.58 (step @p38 :rule bool-double-not-elim :args (@t25)) % 0.38/0.58 (step @p39 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t11))) % 0.38/0.58 (step @p40 :rule refl :args (@t21)) % 0.38/0.58 (step @p41 :rule refl :args (@t22)) % 0.38/0.58 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t23)) % 0.38/0.58 (step @p43 :rule cong :premises (@p13 @p42) :args (@t24)) % 0.38/0.58 (step @p44 :rule trans :premises (@p43 @p39)) % 0.38/0.58 (step @p45 :rule ho_cong :premises (@p17 @p42)) % 0.38/0.58 (step @p46 :rule cong :premises (@p45 @p44) :args ((= (_ @t19 @t23) @t24))) % 0.38/0.58 (step @p47 :rule symm :premises (@p46)) % 0.38/0.58 (step @p48 :rule refl :args (@t12)) % 0.38/0.58 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.38/0.58 (step @p50 :rule refl :args (@t9)) % 0.38/0.58 (step @p51 :rule cong :premises (@p50 @p40) :args ((= @t9 @t21))) % 0.38/0.58 (step @p52 :rule symm :premises (@p51)) % 0.38/0.58 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 0.38/0.58 (step @p54 :rule refl :args (@t10)) % 0.38/0.58 (step @p55 :rule cong :premises (@p54 @p41) :args ((= @t10 @t22))) % 0.38/0.58 (step @p56 :rule symm :premises (@p55)) % 0.38/0.58 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.38/0.58 (step @p58 :rule nary_cong :premises (@p57 @p53) :args (@t11)) % 0.38/0.58 (step @p59 :rule eq_resolve :premises (@p29 @p31)) % 0.38/0.58 (step @p60 :rule ho_cong :premises (@p16 @p59)) % 0.38/0.58 (step @p61 :rule ho_cong :premises (@p60 @p58)) % 0.38/0.58 (step @p62 :rule trans :premises (@p61 @p49)) % 0.38/0.58 (step @p63 :rule cong :premises (@p62) :args (@t26)) % 0.38/0.58 (step @p64 :rule cong :premises (@p63) :args (@t27)) % 0.38/0.58 (step @p65 :rule cong :premises (@p64) :args (@t28)) % 0.38/0.58 (step @p66 :rule exists-elim :args ((= @t14 @t28))) % 0.38/0.58 (step @p67 :rule trans :premises (@p66 @p65)) % 0.38/0.58 (step @p68 :rule cong :premises (@p67) :args (@t15)) % 0.38/0.58 (step @p69 :rule trans :premises (@p68 @p38)) % 0.38/0.58 (step @p70 :rule eq_resolve :premises (@p9 @p69)) % 0.38/0.58 (step @p71 :rule eq-refl :args (@t29)) % 0.38/0.58 (step @p72 :rule skolem_intro :args (@t30)) % 0.38/0.58 (step @p73 :rule refl :args (@t29)) % 0.38/0.58 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t29 @t30))) % 0.38/0.58 (step @p75 :rule trans :premises (@p74 @p71)) % 0.38/0.58 (step @p76 :rule true_elim :premises (@p75)) % 0.38/0.58 (step @p77 :rule refl :args (@t17)) % 0.38/0.58 (step @p78 :rule cong :premises (@p77 @p76) :args (@t31)) % 0.38/0.58 (step @p79 :rule cong :premises (@p78) :args (@t32)) % 0.38/0.58 (step @p80 :rule refl :args (@t25)) % 0.38/0.58 (step @p81 :rule cong :premises (@p80 @p79) :args ((=> @t25 @t32))) % 0.38/0.58 (step @p82 :rule aci_norm :args ((= (and @t29 @t29) @t29))) % 0.38/0.58 (step @p83 :rule beta-reduce :args ((= @t36 @t29))) % 0.38/0.58 (step @p84 :rule beta-reduce :args ((= @t37 @t29))) % 0.38/0.58 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t38)) % 0.38/0.58 (step @p86 :rule trans :premises (@p85 @p82)) % 0.38/0.58 (step @p87 :rule cong :premises (@p77 @p86) :args (@t39)) % 0.38/0.58 (step @p88 :rule cong :premises (@p87) :args (@t40)) % 0.38/0.58 (step @p89 :rule cong :premises (@p80 @p88) :args ((=> @t25 @t40))) % 0.38/0.58 (assume-push @p344 @t25) % 0.38/0.58 (step @p91 :rule instantiate :premises (@p70) :args ((@list @t35))) % 0.38/0.58 (step-pop @p345 :rule scope :premises (@p91)) % 0.38/0.58 (step @p92 :rule process_scope :premises (@p345) :args (@t40)) % 0.38/0.58 (step @p94 :rule eq_resolve :premises (@p92 @p89)) % 0.38/0.58 (step @p95 :rule eq_resolve :premises (@p94 @p81)) % 0.38/0.58 (step @p96 :rule implies_elim :premises (@p95)) % 0.38/0.58 (step @p97 :rule chain_m_resolution :premises (@p96 @p70) :args (@t42 @t43 @t44)) % 0.38/0.58 (step @p98 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t45))) % 0.38/0.58 (step @p99 :rule refl :args (@t45)) % 0.38/0.58 (step @p100 :rule cong :premises (@p13 @p99) :args (@t46)) % 0.38/0.58 (step @p101 :rule trans :premises (@p100 @p98)) % 0.38/0.58 (step @p102 :rule ho_cong :premises (@p17 @p99)) % 0.38/0.58 (step @p103 :rule cong :premises (@p102 @p101) :args ((= (_ @t19 @t45) @t46))) % 0.38/0.58 (step @p104 :rule symm :premises (@p103)) % 0.38/0.58 (step @p105 :rule refl :args ((_ @t4 @t45))) % 0.38/0.58 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.38/0.58 (step @p107 :rule eq-refl :args (@t2)) % 0.38/0.58 (step @p108 :rule skolem_intro :args (@t45)) % 0.38/0.58 (step @p109 :rule refl :args (@t2)) % 0.38/0.58 (step @p110 :rule cong :premises (@p109 @p108) :args ((= @t2 @t45))) % 0.38/0.58 (step @p111 :rule trans :premises (@p110 @p107)) % 0.38/0.58 (step @p112 :rule true_elim :premises (@p111)) % 0.38/0.58 (step @p113 :rule ho_cong :premises (@p34 @p112)) % 0.38/0.58 (step @p114 :rule trans :premises (@p113 @p106)) % 0.38/0.58 (step @p115 :rule eq_resolve :premises (@p1 @p114)) % 0.38/0.58 (step @p116 :rule eq-refl :args (@t47)) % 0.38/0.58 (step @p117 :rule skolem_intro :args (@t48)) % 0.38/0.58 (step @p118 :rule refl :args (@t47)) % 0.38/0.58 (step @p119 :rule cong :premises (@p118 @p117) :args ((= @t47 @t48))) % 0.38/0.58 (step @p120 :rule trans :premises (@p119 @p116)) % 0.38/0.58 (step @p121 :rule true_elim :premises (@p120)) % 0.38/0.58 (step @p122 :rule cong :premises (@p77 @p121) :args (@t49)) % 0.38/0.58 (step @p123 :rule cong :premises (@p122) :args (@t50)) % 0.38/0.58 (step @p124 :rule cong :premises (@p80 @p123) :args ((=> @t25 @t50))) % 0.38/0.58 (step @p125 :rule aci_norm :args ((= (and @t47 @t47) @t47))) % 0.38/0.58 (step @p126 :rule beta-reduce :args ((= @t52 @t47))) % 0.38/0.58 (step @p127 :rule beta-reduce :args ((= @t53 @t47))) % 0.38/0.58 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t54)) % 0.38/0.58 (step @p129 :rule trans :premises (@p128 @p125)) % 0.38/0.58 (step @p130 :rule cong :premises (@p77 @p129) :args (@t55)) % 0.38/0.58 (step @p131 :rule cong :premises (@p130) :args (@t56)) % 0.38/0.58 (step @p132 :rule cong :premises (@p80 @p131) :args ((=> @t25 @t56))) % 0.38/0.58 (assume-push @p346 @t25) % 0.38/0.58 (step @p134 :rule instantiate :premises (@p70) :args ((@list @t51))) % 0.38/0.58 (step-pop @p347 :rule scope :premises (@p134)) % 0.38/0.58 (step @p135 :rule process_scope :premises (@p347) :args (@t56)) % 0.38/0.58 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 0.38/0.58 (step @p138 :rule eq_resolve :premises (@p137 @p124)) % 0.38/0.58 (step @p139 :rule implies_elim :premises (@p138)) % 0.38/0.58 (step @p140 :rule chain_m_resolution :premises (@p139 @p70) :args (@t58 @t43 @t44)) % 0.38/0.58 (step @p141 :rule bool-double-not-elim :args (@t57)) % 0.38/0.58 (step @p142 :rule refl :args (@t59)) % 0.38/0.58 (step @p143 :rule refl :args (@t60)) % 0.38/0.58 (step @p144 :rule refl :args (@t61)) % 0.38/0.58 (step @p145 :rule nary_cong :premises (@p144 @p143 @p142 @p141) :args ((or @t61 @t60 @t59 @t62))) % 0.38/0.58 (assume-push @p348 @t46) % 0.38/0.58 (assume-push @p349 @t45) % 0.38/0.58 (assume-push @p350 @t48) % 0.38/0.58 (assume-push @p351 @t58) % 0.38/0.58 (step @p150 :rule evaluate :args (@t63)) % 0.38/0.58 (step @p151 :rule true_intro :premises (@p115)) % 0.38/0.58 (step @p152 :rule true_intro :premises (@p349)) % 0.38/0.58 (step @p153 :rule symm :premises (@p152)) % 0.38/0.58 (step @p154 :rule true_intro :premises (@p350)) % 0.38/0.58 (step @p155 :rule trans :premises (@p154 @p153)) % 0.38/0.58 (step @p156 :rule cong :premises (@p77 @p155) :args (@t57)) % 0.38/0.58 (step @p157 :rule false_intro :premises (@p140)) % 0.38/0.58 (step @p158 :rule symm :premises (@p157)) % 0.38/0.58 (step @p159 :rule trans :premises (@p158 @p156 @p151)) % 0.38/0.58 (step @p160 false :rule eq_resolve :premises (@p159 @p150)) % 0.38/0.58 (step-pop @p352 :rule scope 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(step @p242 :rule symm :premises (@p241)) % 0.38/0.58 (step @p243 :rule false_intro :premises (@p382)) % 0.38/0.58 (step @p244 :rule trans :premises (@p243 @p242)) % 0.38/0.58 (step @p245 :rule cong :premises (@p77 @p244) :args (@t18)) % 0.38/0.58 (step @p246 :rule true_intro :premises (@p37)) % 0.38/0.58 (step @p247 :rule symm :premises (@p246)) % 0.38/0.58 (step @p248 :rule trans :premises (@p247 @p245 @p157)) % 0.38/0.58 (step @p249 false :rule eq_resolve :premises (@p248 @p240)) % 0.38/0.58 (step-pop @p384 :rule scope :premises (@p249)) % 0.38/0.58 (step-pop @p385 :rule scope :premises (@p384)) % 0.38/0.58 (step-pop @p386 :rule scope :premises (@p385)) % 0.38/0.58 (step-pop @p387 :rule scope :premises (@p386)) % 0.38/0.58 (step @p250 :rule process_scope :premises (@p387) :args (false)) % 0.38/0.58 (assume-push @p388 @t18) % 0.38/0.58 (assume-push @p389 @t68) % 0.38/0.58 (assume-push @p390 @t58) % 0.38/0.58 (assume-push @p391 @t59) % 0.38/0.58 (step @p259 :rule and_intro :premises (@p140 @p391 @p389 @p37)) % 0.38/0.58 (step-pop @p392 :rule scope :premises (@p259)) % 0.38/0.58 (step-pop @p393 :rule scope :premises (@p392)) % 0.38/0.58 (step-pop @p394 :rule scope :premises (@p393)) % 0.38/0.58 (step-pop @p395 :rule scope :premises (@p394)) % 0.38/0.58 (step @p260 :rule process_scope :premises (@p395) :args (@t71)) % 0.38/0.58 (step @p265 :rule implies_elim :premises (@p260)) % 0.38/0.58 (step @p266 :rule resolution :premises (@p265 @p250) :args (true @t71)) % 0.38/0.58 (step @p267 :rule not_and :premises (@p266)) % 0.38/0.58 (step @p268 :rule eq_resolve :premises (@p267 @p235)) % 0.38/0.58 (step @p269 :rule reordering :premises (@p268) :args ((or @t16 @t69 @t48 @t57))) % 0.38/0.58 (step @p270 :rule chain_m_resolution :premises (@p269 @p140 @p37 @p231 @p217 @p216 @p97 @p115 @p180 @p140 @p115) :args (@t61 (@list true false true true true true false true true false) (@list @t57 @t18 @t16 @t29 @t30 @t41 @t46 @t48 @t57 @t46))) % 0.38/0.58 (step @p271 :rule bool-double-not-elim :args (@t30)) % 0.38/0.58 (step @p272 :rule bool-double-not-elim :args (@t45)) % 0.38/0.58 (step @p273 :rule nary_cong :premises (@p143 @p272 @p181 @p271) :args ((or @t60 (not @t61) @t66 (not @t65)))) % 0.38/0.58 (assume-push @p396 @t46) % 0.38/0.58 (assume-push @p397 @t61) % 0.38/0.58 (assume-push @p398 @t65) % 0.38/0.58 (assume-push @p399 @t42) % 0.38/0.58 (step @p150 :rule evaluate :args (@t63)) % 0.38/0.58 (step @p151 :rule true_intro :premises (@p115)) % 0.38/0.58 (step @p278 :rule false_intro :premises (@p397)) % 0.38/0.58 (step @p279 :rule symm :premises (@p278)) % 0.38/0.58 (step @p280 :rule false_intro :premises (@p398)) % 0.38/0.58 (step @p281 :rule trans :premises (@p280 @p279)) % 0.38/0.58 (step @p282 :rule cong :premises (@p77 @p281) :args (@t41)) % 0.38/0.58 (step @p193 :rule false_intro :premises (@p97)) % 0.38/0.58 (step @p194 :rule symm :premises (@p193)) % 0.38/0.58 (step @p283 :rule trans :premises (@p194 @p282 @p151)) % 0.38/0.58 (step @p284 false :rule eq_resolve :premises (@p283 @p150)) % 0.38/0.58 (step-pop @p400 :rule scope :premises (@p284)) % 0.38/0.58 (step-pop @p401 :rule scope :premises (@p400)) % 0.38/0.58 (step-pop @p402 :rule scope :premises (@p401)) % 0.38/0.58 (step-pop @p403 :rule scope :premises (@p402)) % 0.38/0.58 (step @p285 :rule process_scope :premises (@p403) :args (false)) % 0.38/0.58 (assume-push @p404 @t46) % 0.38/0.58 (assume-push @p405 @t61) % 0.38/0.58 (assume-push @p406 @t42) % 0.38/0.58 (assume-push @p407 @t65) % 0.38/0.58 (step @p294 :rule and_intro :premises (@p115 @p405 @p407 @p97)) % 0.38/0.58 (step-pop @p408 :rule scope :premises (@p294)) % 0.38/0.58 (step-pop @p409 :rule scope :premises (@p408)) % 0.38/0.58 (step-pop @p410 :rule scope :premises (@p409)) % 0.38/0.58 (step-pop @p411 :rule scope :premises (@p410)) % 0.38/0.58 (step @p295 :rule process_scope :premises (@p411) :args (@t72)) % 0.38/0.58 (step @p300 :rule implies_elim :premises (@p295)) % 0.38/0.58 (step @p301 :rule resolution 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@t16) % 0.38/0.58 (assume-push @p415 @t18) % 0.38/0.58 (step @p240 :rule evaluate :args (@t70)) % 0.38/0.58 (step @p193 :rule false_intro :premises (@p97)) % 0.38/0.58 (step @p316 :rule true_intro :premises (@p413)) % 0.38/0.58 (step @p317 :rule symm :premises (@p316)) % 0.38/0.58 (step @p318 :rule true_intro :premises (@p414)) % 0.38/0.58 (step @p319 :rule trans :premises (@p318 @p317)) % 0.38/0.58 (step @p320 :rule cong :premises (@p77 @p319) :args (@t18)) % 0.38/0.58 (step @p246 :rule true_intro :premises (@p37)) % 0.38/0.58 (step @p247 :rule symm :premises (@p246)) % 0.38/0.58 (step @p321 :rule trans :premises (@p247 @p320 @p193)) % 0.38/0.58 (step @p322 false :rule eq_resolve :premises (@p321 @p240)) % 0.38/0.58 (step-pop @p416 :rule scope :premises (@p322)) % 0.38/0.58 (step-pop @p417 :rule scope :premises (@p416)) % 0.38/0.58 (step-pop @p418 :rule scope :premises (@p417)) % 0.38/0.58 (step-pop @p419 :rule scope :premises (@p418)) % 0.38/0.58 (step @p323 :rule process_scope :premises (@p419) :args (false)) % 0.38/0.58 (assume-push @p420 @t16) % 0.38/0.58 (assume-push @p421 @t18) % 0.38/0.58 (assume-push @p422 @t30) % 0.38/0.58 (assume-push @p423 @t42) % 0.38/0.58 (step @p332 :rule and_intro :premises (@p97 @p422 @p420 @p37)) % 0.38/0.58 (step-pop @p424 :rule scope :premises (@p332)) % 0.38/0.58 (step-pop @p425 :rule scope :premises (@p424)) % 0.38/0.58 (step-pop @p426 :rule scope :premises (@p425)) % 0.38/0.58 (step-pop @p427 :rule scope :premises (@p426)) % 0.38/0.58 (step @p333 :rule process_scope :premises (@p427) :args (@t73)) % 0.38/0.58 (step @p338 :rule implies_elim :premises (@p333)) % 0.38/0.58 (step @p339 :rule resolution :premises (@p338 @p323) :args (true @t73)) % 0.38/0.58 (step @p340 :rule not_and :premises (@p339)) % 0.38/0.58 (step @p341 :rule eq_resolve :premises (@p340 @p311)) % 0.38/0.58 (step @p342 :rule reordering :premises (@p341) :args ((or @t69 @t68 @t41 @t65))) % 0.38/0.58 (step @p343 false :rule chain_m_resolution :premises (@p342 @p309 @p305 @p97 @p37) :args (false (@list false false true false) (@list @t16 @t30 @t41 @t18))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------