%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO171^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 09:12:09 AM UTC 2026 % Result : Theorem 0.36s 0.60s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO171^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 00:00:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.36/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.60 % SZS status Theorem % 0.36/0.60 % SZS output start Proof % 0.36/0.60 ( % 0.36/0.60 (declare-sort $$unsorted 0) % 0.36/0.60 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.g (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.a $$unsorted) % 0.36/0.60 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.60 (define @t2 () (_ tptp.g @t1)) % 0.36/0.60 (define @t3 () (_ @t2 tptp.a)) % 0.36/0.60 (define @t4 () (not @t3)) % 0.36/0.60 (define @t5 () (@var "A" $$unsorted)) % 0.36/0.60 (define @t6 () (_ tptp.g @t5)) % 0.36/0.60 (define @t7 () (_ @t6 @t1)) % 0.36/0.60 (define @t8 () (not @t7)) % 0.36/0.60 (define @t9 () (or @t8 @t4)) % 0.36/0.60 (define @t10 () (@list @t5 @t1)) % 0.36/0.60 (define @t11 () (forall @t10 @t9)) % 0.36/0.60 (define @t12 () (_ tptp.f @t1)) % 0.36/0.60 (define @t13 () (_ @t2 @t12)) % 0.36/0.60 (define @t14 () (or @t8 @t13)) % 0.36/0.60 (define @t15 () (forall @t10 @t14)) % 0.36/0.60 (define @t16 () (_ (_ tptp.g @t12) @t1)) % 0.36/0.60 (define @t17 () (or @t8 @t16)) % 0.36/0.60 (define @t18 () (forall @t10 @t17)) % 0.36/0.60 (define @t19 () (_ tptp.f @t5)) % 0.36/0.60 (define @t20 () (_ @t6 @t19)) % 0.36/0.60 (define @t21 () (_ @t6 tptp.a)) % 0.36/0.60 (define @t22 () (or @t21 @t20)) % 0.36/0.60 (define @t23 () (@list @t5)) % 0.36/0.60 (define @t24 () (forall @t23 @t22)) % 0.36/0.60 (define @t25 () (_ (_ tptp.g @t19) @t5)) % 0.36/0.60 (define @t26 () (or @t21 @t25)) % 0.36/0.60 (define @t27 () (forall @t23 @t26)) % 0.36/0.60 (define @t28 () (and @t27 @t24 @t18 @t15 @t11)) % 0.36/0.60 (define @t29 () (tptp.g @t1 tptp.a)) % 0.36/0.60 (define @t30 () (tptp.g @t5 @t1)) % 0.36/0.60 (define @t31 () (tptp.f @t1)) % 0.36/0.60 (define @t32 () (tptp.g @t1 @t31)) % 0.36/0.60 (define @t33 () (tptp.g @t31 @t1)) % 0.36/0.60 (define @t34 () (tptp.f @t5)) % 0.36/0.60 (define @t35 () (tptp.g @t5 @t34)) % 0.36/0.60 (define @t36 () (tptp.g @t5 tptp.a)) % 0.36/0.60 (define @t37 () (tptp.g @t34 @t5)) % 0.36/0.60 (define @t38 () (tptp.f tptp.a)) % 0.36/0.60 (define @t39 () (@list tptp.a)) % 0.36/0.60 (define @t40 () (tptp.g tptp.a tptp.a)) % 0.36/0.60 (define @t41 () (not @t40)) % 0.36/0.60 (define @t42 () (or @t41 @t41)) % 0.36/0.60 (define @t43 () (forall @t10 (or (not @t30) (not @t29)))) % 0.36/0.60 (define @t44 () (tptp.g @t38 tptp.a)) % 0.36/0.60 (define @t45 () (or @t40 @t44)) % 0.36/0.60 (define @t46 () (@list true false)) % 0.36/0.60 (define @t47 () (tptp.g tptp.a @t38)) % 0.36/0.60 (define @t48 () (or @t40 @t47)) % 0.36/0.60 (define @t49 () (not @t44)) % 0.36/0.60 (define @t50 () (not @t47)) % 0.36/0.60 (define @t51 () (or @t50 @t49)) % 0.36/0.60 (assume @p1 (not (not @t28))) % 0.36/0.60 (assume @p2 true) % 0.36/0.60 (step @p3 :rule refl :args (@t29)) % 0.36/0.60 (step @p4 :rule refl :args (@t3)) % 0.36/0.60 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t29))) % 0.36/0.60 (step @p6 :rule symm :premises (@p5)) % 0.36/0.60 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.36/0.60 (step @p8 :rule cong :premises (@p7) :args (@t4)) % 0.36/0.60 (step @p9 :rule refl :args (@t30)) % 0.36/0.60 (step @p10 :rule refl :args (@t7)) % 0.36/0.60 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t7 @t30))) % 0.36/0.60 (step @p12 :rule symm :premises (@p11)) % 0.36/0.60 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.36/0.60 (step @p14 :rule cong :premises (@p13) :args (@t8)) % 0.36/0.60 (step @p15 :rule nary_cong :premises (@p14 @p8) :args (@t9)) % 0.36/0.60 (step @p16 :rule cong :premises (@p15) :args (@t11)) % 0.36/0.60 (step @p17 :rule refl :args ((tptp.g @t1 @t12))) % 0.36/0.60 (step @p18 :rule refl :args (@t31)) % 0.36/0.60 (step @p19 :rule refl :args (@t1)) % 0.36/0.60 (step @p20 :rule cong :premises (@p19 @p18) :args (@t32)) % 0.36/0.60 (step @p21 :rule trans :premises (@p20 @p17)) % 0.36/0.60 (step @p22 :rule refl :args (@t2)) % 0.36/0.60 (step @p23 :rule ho_cong :premises (@p22 @p18)) % 0.36/0.60 (step @p24 :rule cong :premises (@p23 @p21) :args ((= (_ @t2 @t31) @t32))) % 0.36/0.60 (step @p25 :rule symm :premises (@p24)) % 0.36/0.60 (step @p26 :rule refl :args (@t13)) % 0.36/0.60 (step @p27 :rule eq_resolve :premises (@p26 @p25)) % 0.36/0.60 (step @p28 :rule refl :args (@t12)) % 0.36/0.60 (step @p29 :rule cong :premises (@p28 @p18) :args ((= @t12 @t31))) % 0.36/0.60 (step @p30 :rule symm :premises (@p29)) % 0.36/0.60 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.36/0.60 (step @p32 :rule ho_cong :premises (@p22 @p31)) % 0.36/0.60 (step @p33 :rule trans :premises (@p32 @p27)) % 0.36/0.60 (step @p34 :rule nary_cong :premises (@p14 @p33) :args (@t14)) % 0.36/0.60 (step @p35 :rule cong :premises (@p34) :args (@t15)) % 0.36/0.60 (step @p36 :rule refl :args ((tptp.g @t12 @t1))) % 0.36/0.60 (step @p37 :rule cong :premises (@p18 @p19) :args (@t33)) % 0.36/0.60 (step @p38 :rule trans :premises (@p37 @p36)) % 0.36/0.60 (step @p39 :rule refl :args (tptp.g)) % 0.36/0.60 (step @p40 :rule ho_cong :premises (@p39 @p18)) % 0.36/0.60 (step @p41 :rule ho_cong :premises (@p40 @p19)) % 0.36/0.60 (step @p42 :rule cong :premises (@p41 @p38) :args ((= (_ (_ tptp.g @t31) @t1) @t33))) % 0.36/0.60 (step @p43 :rule symm :premises (@p42)) % 0.36/0.60 (step @p44 :rule refl :args (@t16)) % 0.36/0.60 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.36/0.60 (step @p46 :rule ho_cong :premises (@p39 @p31)) % 0.36/0.60 (step @p47 :rule ho_cong :premises (@p46 @p19)) % 0.36/0.60 (step @p48 :rule trans :premises (@p47 @p45)) % 0.36/0.60 (step @p49 :rule nary_cong :premises (@p14 @p48) :args (@t17)) % 0.36/0.60 (step @p50 :rule cong :premises (@p49) :args (@t18)) % 0.36/0.60 (step @p51 :rule refl :args ((tptp.g @t5 @t19))) % 0.36/0.60 (step @p52 :rule refl :args (@t34)) % 0.36/0.60 (step @p53 :rule refl :args (@t5)) % 0.36/0.60 (step @p54 :rule cong :premises (@p53 @p52) :args (@t35)) % 0.36/0.60 (step @p55 :rule trans :premises (@p54 @p51)) % 0.36/0.60 (step @p56 :rule refl :args (@t6)) % 0.36/0.60 (step @p57 :rule ho_cong :premises (@p56 @p52)) % 0.36/0.60 (step @p58 :rule cong :premises (@p57 @p55) :args ((= (_ @t6 @t34) @t35))) % 0.36/0.60 (step @p59 :rule symm :premises (@p58)) % 0.36/0.60 (step @p60 :rule refl :args (@t20)) % 0.36/0.60 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.36/0.60 (step @p62 :rule refl :args (@t19)) % 0.36/0.60 (step @p63 :rule cong :premises (@p62 @p52) :args ((= @t19 @t34))) % 0.36/0.60 (step @p64 :rule symm :premises (@p63)) % 0.36/0.60 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.36/0.60 (step @p66 :rule ho_cong :premises (@p56 @p65)) % 0.36/0.60 (step @p67 :rule trans :premises (@p66 @p61)) % 0.36/0.60 (step @p68 :rule refl :args (@t36)) % 0.36/0.60 (step @p69 :rule refl :args (@t21)) % 0.36/0.60 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t21 @t36))) % 0.36/0.60 (step @p71 :rule symm :premises (@p70)) % 0.36/0.60 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 0.36/0.60 (step @p73 :rule nary_cong :premises (@p72 @p67) :args (@t22)) % 0.36/0.60 (step @p74 :rule cong :premises (@p73) :args (@t24)) % 0.36/0.60 (step @p75 :rule refl :args ((tptp.g @t19 @t5))) % 0.36/0.60 (step @p76 :rule cong :premises (@p52 @p53) :args (@t37)) % 0.36/0.60 (step @p77 :rule trans :premises (@p76 @p75)) % 0.36/0.60 (step @p78 :rule ho_cong :premises (@p39 @p52)) % 0.36/0.60 (step @p79 :rule ho_cong :premises (@p78 @p53)) % 0.36/0.60 (step @p80 :rule cong :premises (@p79 @p77) :args ((= (_ (_ tptp.g @t34) @t5) @t37))) % 0.36/0.60 (step @p81 :rule symm :premises (@p80)) % 0.36/0.60 (step @p82 :rule refl :args (@t25)) % 0.36/0.60 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.36/0.60 (step @p84 :rule ho_cong :premises (@p39 @p65)) % 0.36/0.60 (step @p85 :rule ho_cong :premises (@p84 @p53)) % 0.36/0.60 (step @p86 :rule trans :premises (@p85 @p83)) % 0.36/0.60 (step @p87 :rule nary_cong :premises (@p72 @p86) :args (@t26)) % 0.36/0.60 (step @p88 :rule cong :premises (@p87) :args (@t27)) % 0.36/0.60 (step @p89 :rule nary_cong :premises (@p88 @p74 @p50 @p35 @p16) :args (@t28)) % 0.36/0.60 (step @p90 :rule bool-double-not-elim :args (@t28)) % 0.36/0.60 (step @p91 :rule trans :premises (@p90 @p89)) % 0.36/0.60 (step @p92 :rule eq_resolve :premises (@p1 @p91)) % 0.36/0.60 (step @p93 :rule and_elim :premises (@p92) :args (4)) % 0.36/0.60 (step @p94 :rule instantiate :premises (@p93) :args ((@list tptp.a @t38))) % 0.36/0.60 (step @p95 :rule and_elim :premises (@p92) :args (0)) % 0.36/0.60 (step @p96 :rule instantiate :premises (@p95) :args (@t39)) % 0.36/0.60 (step @p97 :rule aci_norm :args ((= @t42 @t41))) % 0.36/0.60 (step @p98 :rule refl :args (@t43)) % 0.36/0.60 (step @p99 :rule cong :premises (@p98 @p97) :args ((=> @t43 @t42))) % 0.36/0.60 (assume-push @p118 @t43) % 0.36/0.60 (step @p101 :rule instantiate :premises (@p93) :args ((@list tptp.a tptp.a))) % 0.36/0.60 (step-pop @p119 :rule scope :premises (@p101)) % 0.36/0.60 (step @p102 :rule process_scope :premises (@p119) :args (@t42)) % 0.36/0.60 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 0.36/0.60 (step @p105 :rule implies_elim :premises (@p104)) % 0.36/0.60 (step @p106 :rule chain_m_resolution :premises (@p105 @p93) :args (@t41 (@list false) (@list @t43))) % 0.36/0.60 (step @p107 :rule cnf_or_pos :args (@t45)) % 0.36/0.60 (step @p108 :rule reordering :premises (@p107) :args ((or @t44 @t40 (not @t45)))) % 0.36/0.60 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p96) :args (@t44 @t46 (@list @t40 @t45))) % 0.36/0.60 (step @p110 :rule and_elim :premises (@p92) :args (1)) % 0.36/0.60 (step @p111 :rule instantiate :premises (@p110) :args (@t39)) % 0.36/0.60 (step @p112 :rule cnf_or_pos :args (@t48)) % 0.36/0.60 (step @p113 :rule reordering :premises (@p112) :args ((or @t47 @t40 (not @t48)))) % 0.36/0.60 (step @p114 :rule chain_m_resolution :premises (@p113 @p106 @p111) :args (@t47 @t46 (@list @t40 @t48))) % 0.36/0.60 (step @p115 :rule cnf_or_pos :args (@t51)) % 0.36/0.60 (step @p116 :rule reordering :premises (@p115) :args ((or @t49 @t50 (not @t51)))) % 0.36/0.60 (step @p117 false :rule chain_m_resolution :premises (@p116 @p114 @p109 @p94) :args (false (@list false false false) (@list @t47 @t44 @t51))) % 0.36/0.61 ) % 0.36/0.61 % SZS output end Proof % 0.36/0.61 % cvc5 exiting %------------------------------------------------------------------------------