%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR134^1 : 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 : n028.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 08:13:03 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 : CSR134^1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.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 : Mon Jun 1 21:57:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.38/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.38/0.60 (declare-const tptp.lBob_THFTYPE_i $$unsorted) % 0.38/0.60 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.38/0.60 (declare-const tptp.lBen_THFTYPE_i $$unsorted) % 0.38/0.60 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.38/0.60 (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.n2009_THFTYPE_i $$unsorted) % 0.38/0.60 (declare-const tptp.parent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.38/0.60 (declare-const tptp.lAnna_THFTYPE_i $$unsorted) % 0.38/0.60 (define @t1 () (_ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 0.38/0.60 (define @t2 () (_ @t1 tptp.lAnna_THFTYPE_i)) % 0.38/0.60 (define @t3 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.38/0.60 (define @t4 () (_ tptp.holdsDuring_THFTYPE_IiooI @t3)) % 0.38/0.60 (define @t5 () (_ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.38/0.60 (define @t6 () (_ tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i)) % 0.38/0.60 (define @t7 () (_ @t6 tptp.lAnna_THFTYPE_i)) % 0.38/0.60 (define @t8 () (not @t7)) % 0.38/0.60 (define @t9 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.38/0.60 (define @t10 () (_ @t5 tptp.lAnna_THFTYPE_i)) % 0.38/0.60 (define @t11 () (@var "Y" $$unsorted)) % 0.38/0.60 (define @t12 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.38/0.60 (define @t13 () (_ (_ @t12 @t11) tptp.lAnna_THFTYPE_i)) % 0.38/0.60 (define @t14 () (not @t13)) % 0.38/0.60 (define @t15 () (@var "X" $$unsorted)) % 0.38/0.60 (define @t16 () (_ (_ @t12 @t15) tptp.lAnna_THFTYPE_i)) % 0.38/0.60 (define @t17 () (and @t16 @t14)) % 0.38/0.60 (define @t18 () (_ @t4 @t17)) % 0.38/0.60 (define @t19 () (@list @t12 @t15 @t11)) % 0.38/0.60 (define @t20 () (exists @t19 @t18)) % 0.38/0.60 (define @t21 () (not @t20)) % 0.38/0.60 (define @t22 () (@purify @t2)) % 0.38/0.60 (define @t23 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.38/0.60 (define @t24 () (tptp.holdsDuring_THFTYPE_IiooI @t23 @t22)) % 0.38/0.60 (define @t25 () (_ tptp.holdsDuring_THFTYPE_IiooI @t23)) % 0.38/0.60 (define @t26 () (= @t2 @t22)) % 0.38/0.60 (define @t27 () (_ @t12 @t11 tptp.lAnna_THFTYPE_i)) % 0.38/0.60 (define @t28 () (not @t27)) % 0.38/0.60 (define @t29 () (_ @t12 @t15 tptp.lAnna_THFTYPE_i)) % 0.38/0.60 (define @t30 () (and @t29 @t28)) % 0.38/0.60 (define @t31 () (tptp.holdsDuring_THFTYPE_IiooI @t23 @t30)) % 0.38/0.60 (define @t32 () (forall @t19 (not @t31))) % 0.38/0.60 (define @t33 () (not @t18)) % 0.38/0.60 (define @t34 () (forall @t19 @t33)) % 0.38/0.60 (define @t35 () (not @t34)) % 0.38/0.60 (define @t36 () (tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lAnna_THFTYPE_i)) % 0.38/0.60 (define @t37 () (not @t36)) % 0.38/0.60 (define @t38 () (and @t36 @t37)) % 0.38/0.60 (define @t39 () (@purify @t38)) % 0.38/0.60 (define @t40 () (tptp.holdsDuring_THFTYPE_IiooI @t23 @t38)) % 0.38/0.60 (define @t41 () (not @t40)) % 0.38/0.60 (define @t42 () (tptp.holdsDuring_THFTYPE_IiooI @t23 @t39)) % 0.38/0.60 (define @t43 () (not @t42)) % 0.38/0.60 (define @t44 () (@list false)) % 0.38/0.60 (define @t45 () (@list @t32)) % 0.38/0.60 (define @t46 () (not @t22)) % 0.38/0.60 (define @t47 () (not @t38)) % 0.38/0.60 (define @t48 () (tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i tptp.lAnna_THFTYPE_i)) % 0.38/0.60 (define @t49 () (not @t48)) % 0.38/0.60 (define @t50 () (tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lAnna_THFTYPE_i)) % 0.38/0.60 (define @t51 () (and @t50 @t49)) % 0.38/0.60 (define @t52 () (@purify @t51)) % 0.38/0.60 (define @t53 () (tptp.holdsDuring_THFTYPE_IiooI @t23 @t51)) % 0.38/0.60 (define @t54 () (not @t53)) % 0.38/0.60 (define @t55 () (tptp.holdsDuring_THFTYPE_IiooI @t23 @t52)) % 0.38/0.60 (define @t56 () (not @t55)) % 0.38/0.60 (define @t57 () (not @t52)) % 0.38/0.60 (define @t58 () (not @t24)) % 0.38/0.60 (define @t59 () (= false true)) % 0.38/0.60 (define @t60 () (and @t24 @t22 @t52 @t56)) % 0.38/0.60 (define @t61 () (@purify @t10)) % 0.38/0.60 (define @t62 () (tptp.holdsDuring_THFTYPE_IiooI @t23 @t61)) % 0.38/0.60 (define @t63 () (= @t10 @t61)) % 0.38/0.60 (define @t64 () (not @t62)) % 0.38/0.60 (define @t65 () (not @t39)) % 0.38/0.60 (define @t66 () (not @t65)) % 0.38/0.60 (define @t67 () (not @t43)) % 0.38/0.60 (define @t68 () (not @t61)) % 0.38/0.60 (define @t69 () (= true false)) % 0.38/0.60 (define @t70 () (and @t43 @t65 @t68 @t62)) % 0.38/0.60 (define @t71 () (not @t50)) % 0.38/0.60 (define @t72 () (@purify @t8)) % 0.38/0.60 (define @t73 () (= @t8 @t72)) % 0.38/0.60 (define @t74 () (not @t72)) % 0.38/0.60 (define @t75 () (tptp.holdsDuring_THFTYPE_IiooI @t23 @t72)) % 0.38/0.60 (define @t76 () (not @t75)) % 0.38/0.60 (define @t77 () (and @t43 @t65 @t74 @t75)) % 0.38/0.60 (define @t78 () (@list true)) % 0.38/0.60 (define @t79 () (and @t24 @t46 @t65 @t43)) % 0.38/0.60 (assume @p1 (_ @t4 @t2)) % 0.38/0.60 (assume @p2 (_ @t4 (_ @t5 tptp.lBen_THFTYPE_i))) % 0.38/0.60 (assume @p3 (_ @t4 @t8)) % 0.38/0.60 (assume @p4 (_ @t4 (_ @t9 tptp.lBill_THFTYPE_i))) % 0.38/0.60 (assume @p5 (_ @t4 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i))) % 0.38/0.60 (assume @p6 (_ @t4 (not (_ @t6 tptp.lBen_THFTYPE_i)))) % 0.38/0.60 (assume @p7 (_ @t4 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i))) % 0.38/0.60 (assume @p8 (_ @t4 @t10)) % 0.38/0.60 (assume @p9 (_ @t4 (_ @t1 tptp.lBen_THFTYPE_i))) % 0.38/0.60 (assume @p10 (_ @t4 (not (_ @t9 tptp.lMary_THFTYPE_i)))) % 0.38/0.60 (assume @p11 @t21) % 0.38/0.60 (assume @p12 true) % 0.38/0.60 (step @p13 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t22))) % 0.38/0.60 (step @p14 :rule refl :args (@t22)) % 0.38/0.60 (step @p15 :rule refl :args (@t23)) % 0.38/0.60 (step @p16 :rule cong :premises (@p15 @p14) :args (@t24)) % 0.38/0.60 (step @p17 :rule trans :premises (@p16 @p13)) % 0.38/0.60 (step @p18 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.38/0.60 (step @p19 :rule ho_cong :premises (@p18 @p15)) % 0.38/0.60 (step @p20 :rule ho_cong :premises (@p19 @p14)) % 0.38/0.60 (step @p21 :rule cong :premises (@p20 @p17) :args ((= (_ @t25 @t22) @t24))) % 0.38/0.60 (step @p22 :rule symm :premises (@p21)) % 0.38/0.60 (step @p23 :rule refl :args ((_ @t4 @t22))) % 0.38/0.60 (step @p24 :rule eq_resolve :premises (@p23 @p22)) % 0.38/0.60 (step @p25 :rule eq-refl :args (@t2)) % 0.38/0.60 (step @p26 :rule skolem_intro :args (@t22)) % 0.38/0.60 (step @p27 :rule refl :args (@t2)) % 0.38/0.60 (step @p28 :rule cong :premises (@p27 @p26) :args (@t26)) % 0.38/0.60 (step @p29 :rule trans :premises (@p28 @p25)) % 0.38/0.60 (step @p30 :rule true_elim :premises (@p29)) % 0.38/0.60 (step @p31 :rule refl :args (@t3)) % 0.38/0.60 (step @p32 :rule cong :premises (@p31 @p15) :args ((= @t3 @t23))) % 0.38/0.60 (step @p33 :rule symm :premises (@p32)) % 0.38/0.60 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.38/0.60 (step @p35 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.38/0.60 (step @p36 :rule ho_cong :premises (@p35 @p34)) % 0.38/0.60 (step @p37 :rule ho_cong :premises (@p36 @p30)) % 0.38/0.60 (step @p38 :rule trans :premises (@p37 @p24)) % 0.38/0.60 (step @p39 :rule eq_resolve :premises (@p1 @p38)) % 0.38/0.60 (step @p40 :rule bool-double-not-elim :args (@t32)) % 0.38/0.60 (step @p41 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t17))) % 0.38/0.60 (step @p42 :rule refl :args (@t27)) % 0.38/0.60 (step @p43 :rule cong :premises (@p42) :args (@t28)) % 0.38/0.60 (step @p44 :rule refl :args (@t29)) % 0.38/0.60 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t30)) % 0.38/0.60 (step @p46 :rule cong :premises (@p15 @p45) :args (@t31)) % 0.38/0.60 (step @p47 :rule trans :premises (@p46 @p41)) % 0.38/0.60 (step @p48 :rule ho_cong :premises (@p19 @p45)) % 0.38/0.60 (step @p49 :rule cong :premises (@p48 @p47) :args ((= (_ @t25 @t30) @t31))) % 0.38/0.60 (step @p50 :rule symm :premises (@p49)) % 0.38/0.60 (step @p51 :rule refl :args (@t18)) % 0.38/0.60 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.38/0.60 (step @p53 :rule refl :args (@t13)) % 0.38/0.60 (step @p54 :rule cong :premises (@p53 @p42) :args ((= @t13 @t27))) % 0.38/0.60 (step @p55 :rule symm :premises (@p54)) % 0.38/0.60 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.38/0.60 (step @p57 :rule cong :premises (@p56) :args (@t14)) % 0.38/0.60 (step @p58 :rule refl :args (@t16)) % 0.38/0.60 (step @p59 :rule cong :premises (@p58 @p44) :args ((= @t16 @t29))) % 0.38/0.60 (step @p60 :rule symm :premises (@p59)) % 0.38/0.60 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.38/0.60 (step @p62 :rule nary_cong :premises (@p61 @p57) :args (@t17)) % 0.38/0.60 (step @p63 :rule eq_resolve :premises (@p31 @p33)) % 0.38/0.60 (step @p64 :rule ho_cong :premises (@p18 @p63)) % 0.38/0.60 (step @p65 :rule ho_cong :premises (@p64 @p62)) % 0.38/0.60 (step @p66 :rule trans :premises (@p65 @p52)) % 0.38/0.60 (step @p67 :rule cong :premises (@p66) :args (@t33)) % 0.38/0.60 (step @p68 :rule cong :premises (@p67) :args (@t34)) % 0.38/0.60 (step @p69 :rule cong :premises (@p68) :args (@t35)) % 0.38/0.60 (step @p70 :rule exists-elim :args ((= @t20 @t35))) % 0.38/0.60 (step @p71 :rule trans :premises (@p70 @p69)) % 0.38/0.60 (step @p72 :rule cong :premises (@p71) :args (@t21)) % 0.38/0.60 (step @p73 :rule trans :premises (@p72 @p40)) % 0.38/0.60 (step @p74 :rule eq_resolve :premises (@p11 @p73)) % 0.38/0.60 (step @p75 :rule eq-refl :args (@t38)) % 0.38/0.60 (step @p76 :rule skolem_intro :args (@t39)) % 0.38/0.60 (step @p77 :rule refl :args (@t38)) % 0.38/0.60 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t38 @t39))) % 0.38/0.60 (step @p79 :rule trans :premises (@p78 @p75)) % 0.38/0.60 (step @p80 :rule true_elim :premises (@p79)) % 0.38/0.60 (step @p81 :rule refl :args (@t23)) % 0.38/0.60 (step @p82 :rule cong :premises (@p81 @p80) :args (@t40)) % 0.38/0.60 (step @p83 :rule cong :premises (@p82) :args (@t41)) % 0.38/0.60 (step @p84 :rule refl :args (@t32)) % 0.38/0.60 (step @p85 :rule cong :premises (@p84 @p83) :args ((=> @t32 @t41))) % 0.38/0.60 (assume-push @p357 @t32) % 0.38/0.60 (step @p87 :rule instantiate :premises (@p74) :args ((@list tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lMary_THFTYPE_i))) % 0.38/0.60 (step-pop @p358 :rule scope :premises (@p87)) % 0.38/0.60 (step @p88 :rule process_scope :premises (@p358) :args (@t41)) % 0.38/0.60 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 0.38/0.60 (step @p91 :rule implies_elim :premises (@p90)) % 0.38/0.60 (step @p92 :rule chain_m_resolution :premises (@p91 @p74) :args (@t43 @t44 @t45)) % 0.38/0.60 (step @p93 :rule eq-symm :args (@t36 @t22)) % 0.38/0.60 (step @p94 :rule refl :args (@t22)) % 0.38/0.60 (step @p95 :rule refl :args (@t36)) % 0.38/0.60 (step @p96 :rule refl :args (@t2)) % 0.38/0.60 (step @p97 :rule cong :premises (@p96 @p95) :args ((= @t2 @t36))) % 0.38/0.60 (step @p98 :rule symm :premises (@p97)) % 0.38/0.60 (step @p99 :rule eq_resolve :premises (@p96 @p98)) % 0.38/0.60 (step @p100 :rule cong :premises (@p99 @p94) :args (@t26)) % 0.38/0.60 (step @p101 :rule trans :premises (@p100 @p93)) % 0.38/0.60 (step @p102 :rule eq-symm :args (@t22 @t2)) % 0.38/0.60 (step @p103 :rule trans :premises (@p102 @p101)) % 0.38/0.60 (step @p104 :rule eq_resolve :premises (@p26 @p103)) % 0.38/0.60 (step @p105 :rule equiv_elim1 :premises (@p104)) % 0.38/0.60 (step @p106 :rule reordering :premises (@p105) :args ((or @t36 @t46))) % 0.38/0.60 (step @p107 :rule cnf_and_pos :args (@t38 1)) % 0.38/0.60 (step @p108 :rule reordering :premises (@p107) :args ((or @t37 @t47))) % 0.38/0.60 (step @p109 :rule equiv_elim2 :premises (@p80)) % 0.38/0.60 (step @p110 :rule eq-refl :args (@t51)) % 0.38/0.60 (step @p111 :rule skolem_intro :args (@t52)) % 0.38/0.60 (step @p112 :rule refl :args (@t51)) % 0.38/0.60 (step @p113 :rule cong :premises (@p112 @p111) :args ((= @t51 @t52))) % 0.38/0.60 (step @p114 :rule trans :premises (@p113 @p110)) % 0.38/0.60 (step @p115 :rule true_elim :premises (@p114)) % 0.38/0.60 (step @p116 :rule cong :premises (@p81 @p115) :args (@t53)) % 0.38/0.60 (step @p117 :rule cong :premises (@p116) :args (@t54)) % 0.38/0.60 (step @p118 :rule cong :premises (@p84 @p117) :args ((=> @t32 @t54))) % 0.38/0.60 (assume-push @p359 @t32) % 0.38/0.60 (step @p120 :rule instantiate :premises (@p74) :args ((@list tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBob_THFTYPE_i))) % 0.38/0.60 (step-pop @p360 :rule scope :premises (@p120)) % 0.38/0.60 (step @p121 :rule process_scope :premises (@p360) :args (@t54)) % 0.38/0.60 (step @p123 :rule eq_resolve :premises (@p121 @p118)) % 0.38/0.60 (step @p124 :rule implies_elim :premises (@p123)) % 0.38/0.60 (step @p125 :rule chain_m_resolution :premises (@p124 @p74) :args (@t56 @t44 @t45)) % 0.38/0.60 (step @p126 :rule bool-double-not-elim :args (@t55)) % 0.38/0.60 (step @p127 :rule refl :args (@t57)) % 0.38/0.60 (step @p128 :rule refl :args (@t58)) % 0.38/0.60 (step @p129 :rule refl :args (@t46)) % 0.38/0.60 (step @p130 :rule nary_cong :premises (@p129 @p128 @p127 @p126) :args ((or @t46 @t58 @t57 (not @t56)))) % 0.38/0.60 (assume-push @p361 @t24) % 0.38/0.60 (assume-push @p362 @t22) % 0.38/0.60 (assume-push @p363 @t52) % 0.38/0.60 (assume-push @p364 @t56) % 0.38/0.60 (step @p135 :rule evaluate :args (@t59)) % 0.38/0.60 (step @p136 :rule true_intro :premises (@p39)) % 0.38/0.60 (step @p137 :rule true_intro :premises (@p362)) % 0.38/0.60 (step @p138 :rule symm :premises (@p137)) % 0.38/0.60 (step @p139 :rule true_intro :premises (@p363)) % 0.38/0.60 (step @p140 :rule trans :premises (@p139 @p138)) % 0.38/0.60 (step @p141 :rule cong :premises (@p81 @p140) :args (@t55)) % 0.38/0.60 (step @p142 :rule false_intro :premises (@p125)) % 0.38/0.60 (step @p143 :rule symm :premises (@p142)) % 0.38/0.60 (step @p144 :rule trans :premises (@p143 @p141 @p136)) % 0.38/0.60 (step @p145 false :rule eq_resolve :premises (@p144 @p135)) % 0.38/0.60 (step-pop @p365 :rule scope :premises (@p145)) % 0.38/0.60 (step-pop @p366 :rule scope :premises (@p365)) % 0.38/0.60 (step-pop @p367 :rule scope :premises (@p366)) % 0.38/0.60 (step-pop @p368 :rule scope :premises (@p367)) % 0.38/0.60 (step @p146 :rule process_scope :premises (@p368) :args (false)) % 0.38/0.60 (assume-push @p369 @t22) % 0.38/0.60 (assume-push @p370 @t24) % 0.38/0.60 (assume-push @p371 @t52) % 0.38/0.60 (assume-push @p372 @t56) % 0.38/0.60 (step @p155 :rule and_intro :premises (@p39 @p369 @p371 @p125)) % 0.38/0.60 (step-pop @p373 :rule scope :premises (@p155)) % 0.38/0.60 (step-pop @p374 :rule scope :premises (@p373)) % 0.38/0.60 (step-pop @p375 :rule scope :premises (@p374)) % 0.38/0.60 (step-pop @p376 :rule scope :premises (@p375)) % 0.38/0.60 (step @p156 :rule process_scope :premises (@p376) :args (@t60)) % 0.38/0.60 (step @p161 :rule implies_elim :premises (@p156)) % 0.38/0.60 (step @p162 :rule resolution :premises (@p161 @p146) :args (true @t60)) % 0.38/0.60 (step @p163 :rule not_and :premises 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@p275 :rule true_elim :premises (@p274)) % 0.38/0.60 (step @p276 :rule ho_cong :premises (@p36 @p275)) % 0.38/0.60 (step @p277 :rule trans :premises (@p276 @p270)) % 0.38/0.60 (step @p278 :rule eq_resolve :premises (@p3 @p277)) % 0.38/0.60 (step @p279 :rule bool-double-not-elim :args (@t72)) % 0.38/0.60 (step @p280 :rule refl :args (@t76)) % 0.38/0.60 (step @p281 :rule nary_cong :premises (@p280 @p279 @p187 @p186) :args ((or @t76 (not @t74) @t67 @t66))) % 0.38/0.60 (assume-push @p393 @t43) % 0.38/0.60 (assume-push @p394 @t65) % 0.38/0.60 (assume-push @p395 @t74) % 0.38/0.60 (assume-push @p396 @t75) % 0.38/0.60 (step @p195 :rule evaluate :args (@t69)) % 0.38/0.60 (step @p196 :rule false_intro :premises (@p92)) % 0.38/0.60 (step @p286 :rule false_intro :premises (@p394)) % 0.38/0.60 (step @p287 :rule symm :premises (@p286)) % 0.38/0.60 (step @p288 :rule false_intro :premises (@p395)) % 0.38/0.60 (step @p289 :rule trans :premises (@p288 @p287)) % 0.38/0.60 (step @p290 :rule cong :premises 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0.38/0.60 (step-pop @p408 :rule scope :premises (@p407)) % 0.38/0.60 (step @p305 :rule process_scope :premises (@p408) :args (@t77)) % 0.38/0.60 (step @p310 :rule implies_elim :premises (@p305)) % 0.38/0.60 (step @p311 :rule resolution :premises (@p310 @p295) :args (true @t77)) % 0.38/0.60 (step @p312 :rule not_and :premises (@p311)) % 0.38/0.60 (step @p313 :rule eq_resolve :premises (@p312 @p281)) % 0.38/0.60 (step @p314 :rule reordering :premises (@p313) :args ((or @t72 @t76 @t39 @t42))) % 0.38/0.60 (step @p315 :rule chain_m_resolution :premises (@p314 @p92 @p278 @p261 @p245 @p239 @p225 @p92 @p185 @p167 @p165 @p125 @p39 @p109 @p108 @p106) :args (@t46 (@list true false true false false false true false true true true false true true false) (@list @t42 @t75 @t72 @t48 @t50 @t61 @t42 @t62 @t51 @t52 @t55 @t24 @t39 @t38 @t36))) % 0.38/0.60 (step @p316 :rule equiv_elim2 :premises (@p104)) % 0.38/0.60 (step @p317 :rule chain_m_resolution :premises (@p316 @p315) :args (@t37 @t78 (@list 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:rule trans :premises (@p330 @p329)) % 0.38/0.60 (step @p332 :rule cong :premises (@p81 @p331) :args (@t42)) % 0.38/0.60 (step @p196 :rule false_intro :premises (@p92)) % 0.38/0.60 (step @p333 :rule symm :premises (@p196)) % 0.38/0.60 (step @p334 :rule trans :premises (@p333 @p332 @p136)) % 0.38/0.60 (step @p335 false :rule eq_resolve :premises (@p334 @p135)) % 0.38/0.60 (step-pop @p413 :rule scope :premises (@p335)) % 0.38/0.60 (step-pop @p414 :rule scope :premises (@p413)) % 0.38/0.60 (step-pop @p415 :rule scope :premises (@p414)) % 0.38/0.60 (step-pop @p416 :rule scope :premises (@p415)) % 0.38/0.60 (step @p336 :rule process_scope :premises (@p416) :args (false)) % 0.38/0.60 (assume-push @p417 @t24) % 0.38/0.60 (assume-push @p418 @t46) % 0.38/0.60 (assume-push @p419 @t43) % 0.38/0.60 (assume-push @p420 @t65) % 0.38/0.60 (step @p345 :rule and_intro :premises (@p39 @p418 @p420 @p92)) % 0.38/0.60 (step-pop @p421 :rule scope :premises (@p345)) % 0.38/0.60 (step-pop @p422 :rule scope :premises (@p421)) % 0.38/0.60 (step-pop @p423 :rule scope :premises (@p422)) % 0.38/0.60 (step-pop @p424 :rule scope :premises (@p423)) % 0.38/0.60 (step @p346 :rule process_scope :premises (@p424) :args (@t79)) % 0.38/0.60 (step @p351 :rule implies_elim :premises (@p346)) % 0.38/0.60 (step @p352 :rule resolution :premises (@p351 @p336) :args (true @t79)) % 0.38/0.60 (step @p353 :rule not_and :premises (@p352)) % 0.38/0.60 (step @p354 :rule eq_resolve :premises (@p353 @p323)) % 0.38/0.60 (step @p355 :rule reordering :premises (@p354) :args ((or @t22 @t58 @t39 @t42))) % 0.38/0.60 (step @p356 false :rule chain_m_resolution :premises (@p355 @p321 @p315 @p92 @p39) :args (false (@list true true true false) (@list @t39 @t22 @t42 @t24))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------