%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR137^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:13:04 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR137^1 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.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 21:57:11 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.lAnna_THFTYPE_i $$unsorted) % 0.38/0.56 (declare-const tptp.lBob_THFTYPE_i $$unsorted) % 0.38/0.56 (declare-const tptp.parent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.lBen_THFTYPE_i $$unsorted) % 0.38/0.56 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.38/0.56 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.38/0.56 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.38/0.56 (define @t1 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.38/0.56 (define @t2 () (_ @t1 tptp.lMary_THFTYPE_i)) % 0.38/0.56 (define @t3 () (not @t2)) % 0.38/0.56 (define @t4 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.38/0.56 (define @t5 () (_ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 0.38/0.56 (define @t6 () (_ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.38/0.56 (define @t7 () (_ tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i)) % 0.38/0.56 (define @t8 () (_ @t5 tptp.lAnna_THFTYPE_i)) % 0.38/0.56 (define @t9 () (_ @t7 tptp.lAnna_THFTYPE_i)) % 0.38/0.56 (define @t10 () (not @t9)) % 0.38/0.56 (define @t11 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t12 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t13 () (@var "Q" (-> $$unsorted $$unsorted Bool))) % 0.38/0.56 (define @t14 () (_ (_ @t13 @t12) @t11)) % 0.38/0.56 (define @t15 () (@list @t12 @t11)) % 0.38/0.56 (define @t16 () (forall @t15 @t14)) % 0.38/0.56 (define @t17 () (not @t16)) % 0.38/0.56 (define @t18 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.38/0.56 (define @t19 () (_ (_ @t18 @t12) @t11)) % 0.38/0.56 (define @t20 () (forall @t15 @t19)) % 0.38/0.56 (define @t21 () (not @t20)) % 0.38/0.56 (define @t22 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t23 () (_ (_ @t13 @t22) tptp.lAnna_THFTYPE_i)) % 0.38/0.56 (define @t24 () (_ (_ @t18 @t22) tptp.lBill_THFTYPE_i)) % 0.38/0.56 (define @t25 () (and @t24 @t23 @t21 @t17)) % 0.38/0.56 (define @t26 () (@list @t13 @t18 @t22)) % 0.38/0.56 (define @t27 () (exists @t26 @t25)) % 0.38/0.56 (define @t28 () (not @t27)) % 0.38/0.56 (define @t29 () (@var "BOUND_VARIABLE_7486" $$unsorted)) % 0.38/0.56 (define @t30 () (@var "BOUND_VARIABLE_7484" $$unsorted)) % 0.38/0.56 (define @t31 () (_ @t13 @t30 @t29)) % 0.38/0.56 (define @t32 () (@var "BOUND_VARIABLE_7481" $$unsorted)) % 0.38/0.56 (define @t33 () (@var "BOUND_VARIABLE_7479" $$unsorted)) % 0.38/0.56 (define @t34 () (_ @t18 @t33 @t32)) % 0.38/0.56 (define @t35 () (_ @t13 @t22 tptp.lAnna_THFTYPE_i)) % 0.38/0.56 (define @t36 () (not @t35)) % 0.38/0.56 (define @t37 () (_ @t18 @t22 tptp.lBill_THFTYPE_i)) % 0.38/0.56 (define @t38 () (not @t37)) % 0.38/0.56 (define @t39 () (or @t38 @t36 @t34 @t31)) % 0.38/0.56 (define @t40 () (forall (@list @t13 @t18 @t22 @t33 @t32 @t30 @t29) @t39)) % 0.38/0.56 (define @t41 () (forall (@list @t33 @t32 @t30 @t29) @t39)) % 0.38/0.56 (define @t42 () (forall (@list @t30 @t29) @t31)) % 0.38/0.56 (define @t43 () (@list @t12 @t11)) % 0.38/0.56 (define @t44 () (forall (@list @t33 @t32) @t34)) % 0.38/0.56 (define @t45 () (or @t38 @t36 @t44 @t42)) % 0.38/0.56 (define @t46 () (_ @t13 @t12 @t11)) % 0.38/0.56 (define @t47 () (forall @t15 @t46)) % 0.38/0.56 (define @t48 () (_ @t18 @t12 @t11)) % 0.38/0.56 (define @t49 () (forall @t15 @t48)) % 0.38/0.56 (define @t50 () (not @t23)) % 0.38/0.56 (define @t51 () (not @t24)) % 0.38/0.56 (define @t52 () (or @t51 @t50 @t49 @t47)) % 0.38/0.56 (define @t53 () (not @t47)) % 0.38/0.56 (define @t54 () (not @t53)) % 0.38/0.56 (define @t55 () (not @t49)) % 0.38/0.56 (define @t56 () (not @t55)) % 0.38/0.56 (define @t57 () (or @t51 @t50 @t56 @t54)) % 0.38/0.56 (define @t58 () (and @t24 @t23 @t55 @t53)) % 0.38/0.56 (define @t59 () (forall @t26 (not @t58))) % 0.38/0.56 (define @t60 () (not @t59)) % 0.38/0.56 (define @t61 () (tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lAnna_THFTYPE_i)) % 0.38/0.56 (define @t62 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.38/0.56 (define @t63 () (tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i tptp.lAnna_THFTYPE_i)) % 0.38/0.56 (define @t64 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lMary_THFTYPE_i)) % 0.38/0.56 (define @t65 () (not @t61)) % 0.38/0.56 (define @t66 () (not @t62)) % 0.38/0.56 (define @t67 () (or @t66 @t65 @t64 @t63)) % 0.38/0.56 (define @t68 () (not @t67)) % 0.38/0.56 (assume @p1 (_ @t1 tptp.lBill_THFTYPE_i)) % 0.38/0.56 (assume @p2 @t3) % 0.38/0.56 (assume @p3 @t4) % 0.38/0.56 (assume @p4 (_ @t5 tptp.lBen_THFTYPE_i)) % 0.38/0.56 (assume @p5 (_ @t6 tptp.lBen_THFTYPE_i)) % 0.38/0.56 (assume @p6 (not (_ @t7 tptp.lBen_THFTYPE_i))) % 0.38/0.56 (assume @p7 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.38/0.56 (assume @p8 (_ @t6 tptp.lAnna_THFTYPE_i)) % 0.38/0.56 (assume @p9 @t8) % 0.38/0.56 (assume @p10 @t10) % 0.38/0.56 (assume @p11 @t28) % 0.38/0.56 (assume @p12 true) % 0.38/0.56 (step @p13 :rule bool-double-not-elim :args (@t40)) % 0.38/0.56 (step @p14 :rule quant-merge-prenex :args ((= (forall @t26 @t41) @t40))) % 0.38/0.56 (step @p15 :rule alpha_equiv :args (@t42 (@list @t30 @t29) @t43)) % 0.38/0.56 (step @p16 :rule alpha_equiv :args (@t44 (@list @t33 @t32) @t43)) % 0.38/0.56 (step @p17 :rule refl :args (@t36)) % 0.38/0.56 (step @p18 :rule refl :args (@t38)) % 0.38/0.56 (step @p19 :rule nary_cong :premises (@p18 @p17 @p16 @p15) :args (@t45)) % 0.38/0.56 (step @p20 :rule quant-miniscope-or :args ((= @t41 @t45))) % 0.38/0.56 (step @p21 :rule trans :premises (@p20 @p19)) % 0.38/0.56 (step @p22 :rule symm :premises (@p21)) % 0.38/0.56 (step @p23 :rule cong :premises (@p22) :args ((forall @t26 (or @t38 @t36 @t49 @t47)))) % 0.38/0.56 (step @p24 :rule trans :premises (@p23 @p14)) % 0.38/0.56 (step @p25 :rule refl :args (@t47)) % 0.38/0.56 (step @p26 :rule refl :args (@t49)) % 0.38/0.56 (step @p27 :rule refl :args (@t35)) % 0.38/0.56 (step @p28 :rule refl :args (@t23)) % 0.38/0.56 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t23 @t35))) % 0.38/0.56 (step @p30 :rule symm :premises (@p29)) % 0.38/0.56 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.38/0.56 (step @p32 :rule cong :premises (@p31) :args (@t50)) % 0.38/0.56 (step @p33 :rule refl :args (@t37)) % 0.38/0.56 (step @p34 :rule refl :args (@t24)) % 0.38/0.56 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t24 @t37))) % 0.38/0.56 (step @p36 :rule symm :premises (@p35)) % 0.38/0.56 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.38/0.56 (step @p38 :rule cong :premises (@p37) :args (@t51)) % 0.38/0.56 (step @p39 :rule nary_cong :premises (@p38 @p32 @p26 @p25) :args (@t52)) % 0.38/0.56 (step @p40 :rule cong :premises (@p39) :args ((forall @t26 @t52))) % 0.38/0.56 (step @p41 :rule trans :premises (@p40 @p24)) % 0.38/0.56 (step @p42 :rule bool-double-not-elim :args (@t47)) % 0.38/0.56 (step @p43 :rule bool-double-not-elim :args (@t49)) % 0.38/0.56 (step @p44 :rule refl :args (@t50)) % 0.38/0.56 (step @p45 :rule refl :args (@t51)) % 0.38/0.56 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43 @p42) :args (@t57)) % 0.38/0.56 (step @p47 :rule aci_norm :args ((= (or @t51 (or @t50 (or @t56 @t54))) @t57))) % 0.38/0.56 (step @p48 :rule trans :premises (@p47 @p46)) % 0.38/0.56 (step @p49 :rule bool-and-de-morgan :args (@t55 @t53 true)) % 0.38/0.56 (step @p50 :rule nary_cong :premises (@p44 @p49) :args ((or @t50 (not (and @t55 @t53))))) % 0.38/0.56 (step @p51 :rule bool-and-de-morgan :args (@t23 @t55 (and @t53))) % 0.38/0.56 (step @p52 :rule trans :premises (@p51 @p50)) % 0.38/0.56 (step @p53 :rule nary_cong :premises (@p45 @p52) :args ((or @t51 (not (and @t23 @t55 @t53))))) % 0.38/0.56 (step @p54 :rule bool-and-de-morgan :args (@t24 @t23 (and @t55 @t53))) % 0.38/0.56 (step @p55 :rule trans :premises (@p54 @p53)) % 0.38/0.56 (step @p56 :rule trans :premises (@p55 @p48)) % 0.38/0.56 (step @p57 :rule cong :premises (@p56) :args (@t59)) % 0.38/0.56 (step @p58 :rule trans :premises (@p57 @p41)) % 0.38/0.56 (step @p59 :rule cong :premises (@p58) :args (@t60)) % 0.38/0.56 (step @p60 :rule exists-elim :args ((= (exists @t26 @t58) @t60))) % 0.38/0.56 (step @p61 :rule trans :premises (@p60 @p59)) % 0.38/0.56 (step @p62 :rule refl :args (@t46)) % 0.38/0.56 (step @p63 :rule refl :args (@t14)) % 0.38/0.56 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t14 @t46))) % 0.38/0.56 (step @p65 :rule symm :premises (@p64)) % 0.38/0.56 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.38/0.56 (step @p67 :rule cong :premises (@p66) :args (@t16)) % 0.38/0.56 (step @p68 :rule cong :premises (@p67) :args (@t17)) % 0.38/0.56 (step @p69 :rule refl :args (@t48)) % 0.38/0.56 (step @p70 :rule refl :args (@t19)) % 0.38/0.56 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t19 @t48))) % 0.38/0.56 (step @p72 :rule symm :premises (@p71)) % 0.38/0.56 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 0.38/0.56 (step @p74 :rule cong :premises (@p73) :args (@t20)) % 0.38/0.56 (step @p75 :rule cong :premises (@p74) :args (@t21)) % 0.38/0.56 (step @p76 :rule refl :args (@t23)) % 0.38/0.56 (step @p77 :rule refl :args (@t24)) % 0.38/0.56 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75 @p68) :args (@t25)) % 0.38/0.56 (step @p79 :rule cong :premises (@p78) :args (@t27)) % 0.38/0.56 (step @p80 :rule trans :premises (@p79 @p61)) % 0.38/0.56 (step @p81 :rule cong :premises (@p80) :args (@t28)) % 0.38/0.56 (step @p82 :rule trans :premises (@p81 @p13)) % 0.38/0.56 (step @p83 :rule eq_resolve :premises (@p11 @p82)) % 0.38/0.56 (step @p84 :rule refl :args (@t61)) % 0.38/0.56 (step @p85 :rule refl :args (@t8)) % 0.38/0.56 (step @p86 :rule cong :premises (@p85 @p84) :args ((= @t8 @t61))) % 0.38/0.56 (step @p87 :rule symm :premises (@p86)) % 0.38/0.56 (step @p88 :rule eq_resolve :premises (@p85 @p87)) % 0.38/0.56 (step @p89 :rule eq_resolve :premises (@p9 @p88)) % 0.38/0.56 (step @p90 :rule refl :args (@t62)) % 0.38/0.56 (step @p91 :rule refl :args (@t4)) % 0.38/0.56 (step @p92 :rule cong :premises (@p91 @p90) :args ((= @t4 @t62))) % 0.38/0.56 (step @p93 :rule symm :premises (@p92)) % 0.38/0.56 (step @p94 :rule eq_resolve :premises (@p91 @p93)) % 0.38/0.56 (step @p95 :rule eq_resolve :premises (@p3 @p94)) % 0.38/0.56 (step @p96 :rule refl :args (@t63)) % 0.38/0.56 (step @p97 :rule refl :args (@t9)) % 0.38/0.56 (step @p98 :rule cong :premises (@p97 @p96) :args ((= @t9 @t63))) % 0.38/0.56 (step @p99 :rule symm :premises (@p98)) % 0.38/0.56 (step @p100 :rule eq_resolve :premises (@p97 @p99)) % 0.38/0.56 (step @p101 :rule cong :premises (@p100) :args (@t10)) % 0.38/0.56 (step @p102 :rule eq_resolve :premises (@p10 @p101)) % 0.38/0.56 (step @p103 :rule refl :args (@t64)) % 0.38/0.56 (step @p104 :rule refl :args (@t2)) % 0.38/0.56 (step @p105 :rule cong :premises (@p104 @p103) :args ((= @t2 @t64))) % 0.38/0.56 (step @p106 :rule symm :premises (@p105)) % 0.38/0.56 (step @p107 :rule eq_resolve :premises (@p104 @p106)) % 0.38/0.56 (step @p108 :rule cong :premises (@p107) :args (@t3)) % 0.38/0.56 (step @p109 :rule eq_resolve :premises (@p2 @p108)) % 0.38/0.56 (step @p110 :rule cnf_or_pos :args (@t67)) % 0.38/0.56 (step @p111 :rule reordering :premises (@p110) :args ((or @t64 @t63 @t66 @t65 @t68))) % 0.38/0.56 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p102 @p95 @p89) :args (@t68 (@list true true false false) (@list @t64 @t63 @t62 @t61))) % 0.38/0.56 (assume-push @p119 @t40) % 0.38/0.56 (step @p114 :rule instantiate :premises (@p83) :args ((@list tptp.parent_THFTYPE_IiioI tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lSue_THFTYPE_i tptp.lMary_THFTYPE_i tptp.lBob_THFTYPE_i tptp.lAnna_THFTYPE_i))) % 0.38/0.56 (step-pop @p120 :rule scope :premises (@p114)) % 0.38/0.56 (step @p115 :rule process_scope :premises (@p120) :args (@t67)) % 0.38/0.56 (step @p117 :rule implies_elim :premises (@p115)) % 0.38/0.56 (step @p118 false :rule chain_m_resolution :premises (@p117 @p112 @p83) :args (false (@list true false) (@list @t67 @t40))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------