%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR142^1 : 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 08:13:05 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR142^1 : TPTP v9.2.1. Released v4.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n028.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Mon Jun 1 21:58:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.30/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.lCorina_THFTYPE_i $$unsorted) % 0.30/0.55 (declare-const tptp.lChris_THFTYPE_i $$unsorted) % 0.30/0.55 (declare-const tptp.inverse_THFTYPE_IIiioIIiioIoI (-> (-> $$unsorted $$unsorted Bool) (-> $$unsorted $$unsorted Bool) Bool)) % 0.30/0.55 (declare-const tptp.husband_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.wife_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (define @t1 () (_ (_ tptp.inverse_THFTYPE_IIiioIIiioIoI tptp.husband_THFTYPE_IiioI) tptp.wife_THFTYPE_IiioI)) % 0.30/0.55 (define @t2 () (@var "INST1" $$unsorted)) % 0.30/0.55 (define @t3 () (@var "INST2" $$unsorted)) % 0.30/0.55 (define @t4 () (@var "REL2" (-> $$unsorted $$unsorted Bool))) % 0.30/0.55 (define @t5 () (_ (_ @t4 @t3) @t2)) % 0.30/0.55 (define @t6 () (@var "REL1" (-> $$unsorted $$unsorted Bool))) % 0.30/0.55 (define @t7 () (_ (_ @t6 @t2) @t3)) % 0.30/0.55 (define @t8 () (= @t7 @t5)) % 0.30/0.55 (define @t9 () (@list @t2 @t3)) % 0.30/0.55 (define @t10 () (forall @t9 @t8)) % 0.30/0.55 (define @t11 () (_ (_ tptp.inverse_THFTYPE_IIiioIIiioIoI @t6) @t4)) % 0.30/0.55 (define @t12 () (=> @t11 @t10)) % 0.30/0.55 (define @t13 () (@list @t4 @t6)) % 0.30/0.55 (define @t14 () (forall @t13 @t12)) % 0.30/0.55 (define @t15 () (_ (_ tptp.wife_THFTYPE_IiioI tptp.lCorina_THFTYPE_i) tptp.lChris_THFTYPE_i)) % 0.30/0.55 (define @t16 () (@var "X" $$unsorted)) % 0.30/0.55 (define @t17 () (_ (_ tptp.husband_THFTYPE_IiioI @t16) tptp.lCorina_THFTYPE_i)) % 0.30/0.55 (define @t18 () (@list @t16)) % 0.30/0.55 (define @t19 () (exists @t18 @t17)) % 0.30/0.55 (define @t20 () (not @t19)) % 0.30/0.55 (define @t21 () (tptp.inverse_THFTYPE_IIiioIIiioIoI tptp.husband_THFTYPE_IiioI tptp.wife_THFTYPE_IiioI)) % 0.30/0.55 (define @t22 () (tptp.husband_THFTYPE_IiioI @t16 tptp.lCorina_THFTYPE_i)) % 0.30/0.55 (define @t23 () (not @t17)) % 0.30/0.55 (define @t24 () (forall @t18 @t23)) % 0.30/0.55 (define @t25 () (not @t24)) % 0.30/0.55 (define @t26 () (tptp.wife_THFTYPE_IiioI tptp.lCorina_THFTYPE_i tptp.lChris_THFTYPE_i)) % 0.30/0.55 (define @t27 () (tptp.husband_THFTYPE_IiioI tptp.lChris_THFTYPE_i tptp.lCorina_THFTYPE_i)) % 0.30/0.55 (define @t28 () (= @t26 @t27)) % 0.30/0.55 (define @t29 () (not @t28)) % 0.30/0.55 (define @t30 () (@var "BOUND_VARIABLE_7455" $$unsorted)) % 0.30/0.55 (define @t31 () (@var "BOUND_VARIABLE_7457" $$unsorted)) % 0.30/0.55 (define @t32 () (= (_ @t6 @t30 @t31) (_ @t4 @t31 @t30))) % 0.30/0.55 (define @t33 () (tptp.inverse_THFTYPE_IIiioIIiioIoI @t6 @t4)) % 0.30/0.55 (define @t34 () (not @t33)) % 0.30/0.55 (define @t35 () (or @t34 @t32)) % 0.30/0.55 (define @t36 () (forall (@list @t4 @t6 @t30 @t31) @t35)) % 0.30/0.55 (define @t37 () (@list @t30 @t31)) % 0.30/0.55 (define @t38 () (forall @t37 @t35)) % 0.30/0.55 (define @t39 () (forall @t37 @t32)) % 0.30/0.55 (define @t40 () (or @t34 @t39)) % 0.30/0.55 (define @t41 () (_ @t4 @t3 @t2)) % 0.30/0.55 (define @t42 () (_ @t6 @t2 @t3)) % 0.30/0.55 (define @t43 () (forall @t9 (= @t42 @t41))) % 0.30/0.55 (define @t44 () (not @t11)) % 0.30/0.55 (define @t45 () (or @t44 @t43)) % 0.30/0.55 (define @t46 () (not @t21)) % 0.30/0.55 (define @t47 () (or @t46 (= @t27 @t26))) % 0.30/0.55 (define @t48 () (or @t46 @t28)) % 0.30/0.55 (assume @p1 @t1) % 0.30/0.55 (assume @p2 @t14) % 0.30/0.55 (assume @p3 @t15) % 0.30/0.55 (assume @p4 @t20) % 0.30/0.55 (assume @p5 true) % 0.30/0.55 (step @p6 :rule refl :args (@t21)) % 0.30/0.55 (step @p7 :rule refl :args (@t1)) % 0.30/0.55 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t1 @t21))) % 0.30/0.55 (step @p9 :rule symm :premises (@p8)) % 0.30/0.55 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.30/0.55 (step @p11 :rule eq_resolve :premises (@p1 @p10)) % 0.30/0.55 (step @p12 :rule bool-double-not-elim :args ((forall @t18 (not @t22)))) % 0.30/0.55 (step @p13 :rule refl :args (@t22)) % 0.30/0.55 (step @p14 :rule refl :args (@t17)) % 0.30/0.55 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t17 @t22))) % 0.30/0.55 (step @p16 :rule symm :premises (@p15)) % 0.30/0.55 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.30/0.55 (step @p18 :rule cong :premises (@p17) :args (@t23)) % 0.30/0.55 (step @p19 :rule cong :premises (@p18) :args (@t24)) % 0.30/0.55 (step @p20 :rule cong :premises (@p19) :args (@t25)) % 0.30/0.55 (step @p21 :rule exists-elim :args ((= @t19 @t25))) % 0.30/0.55 (step @p22 :rule trans :premises (@p21 @p20)) % 0.30/0.55 (step @p23 :rule cong :premises (@p22) :args (@t20)) % 0.30/0.55 (step @p24 :rule trans :premises (@p23 @p12)) % 0.30/0.55 (step @p25 :rule eq_resolve :premises (@p4 @p24)) % 0.30/0.55 (step @p26 :rule instantiate :premises (@p25) :args ((@list tptp.lChris_THFTYPE_i))) % 0.30/0.55 (step @p27 :rule refl :args (@t26)) % 0.30/0.55 (step @p28 :rule refl :args (@t15)) % 0.30/0.55 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t15 @t26))) % 0.30/0.55 (step @p30 :rule symm :premises (@p29)) % 0.30/0.55 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.30/0.55 (step @p32 :rule eq_resolve :premises (@p3 @p31)) % 0.30/0.55 (step @p33 :rule cnf_equiv_pos1 :args (@t28)) % 0.30/0.55 (step @p34 :rule reordering :premises (@p33) :args ((or (not @t26) @t27 @t29))) % 0.30/0.55 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p26) :args (@t29 (@list false true) (@list @t26 @t27))) % 0.30/0.55 (step @p36 :rule quant-merge-prenex :args ((= (forall @t13 @t38) @t36))) % 0.30/0.55 (step @p37 :rule alpha_equiv :args (@t39 (@list @t30 @t31) (@list @t2 @t3))) % 0.30/0.55 (step @p38 :rule refl :args (@t34)) % 0.30/0.55 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t40)) % 0.30/0.55 (step @p40 :rule quant-miniscope-or :args ((= @t38 @t40))) % 0.30/0.55 (step @p41 :rule trans :premises (@p40 @p39)) % 0.30/0.55 (step @p42 :rule symm :premises (@p41)) % 0.30/0.55 (step @p43 :rule cong :premises (@p42) :args ((forall @t13 (or @t34 @t43)))) % 0.30/0.55 (step @p44 :rule trans :premises (@p43 @p36)) % 0.30/0.55 (step @p45 :rule refl :args (@t43)) % 0.30/0.55 (step @p46 :rule refl :args (@t33)) % 0.30/0.55 (step @p47 :rule refl :args (@t11)) % 0.30/0.55 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t11 @t33))) % 0.30/0.55 (step @p49 :rule symm :premises (@p48)) % 0.30/0.55 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.30/0.55 (step @p51 :rule cong :premises (@p50) :args (@t44)) % 0.30/0.55 (step @p52 :rule nary_cong :premises (@p51 @p45) :args (@t45)) % 0.30/0.55 (step @p53 :rule cong :premises (@p52) :args ((forall @t13 @t45))) % 0.30/0.55 (step @p54 :rule trans :premises (@p53 @p44)) % 0.30/0.55 (step @p55 :rule bool-impl-elim :args (@t11 @t43)) % 0.30/0.55 (step @p56 :rule cong :premises (@p55) :args ((forall @t13 (=> @t11 @t43)))) % 0.30/0.55 (step @p57 :rule trans :premises (@p56 @p54)) % 0.30/0.55 (step @p58 :rule refl :args (@t41)) % 0.30/0.55 (step @p59 :rule refl :args (@t5)) % 0.30/0.55 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t5 @t41))) % 0.30/0.55 (step @p61 :rule symm :premises (@p60)) % 0.30/0.55 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.30/0.55 (step @p63 :rule refl :args (@t42)) % 0.30/0.55 (step @p64 :rule refl :args (@t7)) % 0.30/0.55 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t7 @t42))) % 0.30/0.55 (step @p66 :rule symm :premises (@p65)) % 0.30/0.55 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.30/0.55 (step @p68 :rule cong :premises (@p67 @p62) :args (@t8)) % 0.30/0.55 (step @p69 :rule cong :premises (@p68) :args (@t10)) % 0.30/0.55 (step @p70 :rule refl :args (@t11)) % 0.30/0.55 (step @p71 :rule cong :premises (@p70 @p69) :args (@t12)) % 0.30/0.55 (step @p72 :rule cong :premises (@p71) :args (@t14)) % 0.30/0.55 (step @p73 :rule trans :premises (@p72 @p57)) % 0.30/0.55 (step @p74 :rule eq_resolve :premises (@p2 @p73)) % 0.30/0.55 (step @p75 :rule eq-symm :args (@t27 @t26)) % 0.30/0.55 (step @p76 :rule refl :args (@t46)) % 0.30/0.55 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t47)) % 0.30/0.55 (step @p78 :rule refl :args (@t36)) % 0.30/0.55 (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t36 @t47))) % 0.30/0.55 (assume-push @p90 @t36) % 0.30/0.55 (step @p81 :rule instantiate :premises (@p74) :args ((@list tptp.wife_THFTYPE_IiioI tptp.husband_THFTYPE_IiioI tptp.lChris_THFTYPE_i tptp.lCorina_THFTYPE_i))) % 0.30/0.55 (step-pop @p91 :rule scope :premises (@p81)) % 0.30/0.55 (step @p82 :rule process_scope :premises (@p91) :args (@t47)) % 0.30/0.55 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 0.30/0.55 (step @p85 :rule implies_elim :premises (@p84)) % 0.30/0.55 (step @p86 :rule chain_m_resolution :premises (@p85 @p74) :args (@t48 (@list false) (@list @t36))) % 0.30/0.55 (step @p87 :rule cnf_or_pos :args (@t48)) % 0.30/0.55 (step @p88 :rule reordering :premises (@p87) :args ((or @t46 @t28 (not @t48)))) % 0.30/0.55 (step @p89 false :rule chain_m_resolution :premises (@p88 @p86 @p35 @p11) :args (false (@list false true false) (@list @t48 @t28 @t21))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.56 % cvc5 exiting %------------------------------------------------------------------------------