%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM761^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:40:36 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM761^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.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 : Tue Jun 2 12:15:00 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.31/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort tptp.frac 0) % 0.31/0.55 (declare-const tptp.pf (-> tptp.frac tptp.frac tptp.frac)) % 0.31/0.55 (declare-const tptp.z tptp.frac) % 0.31/0.55 (declare-const tptp.u tptp.frac) % 0.31/0.55 (declare-const tptp.moref (-> tptp.frac tptp.frac Bool)) % 0.31/0.55 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 0.31/0.55 (declare-const tptp.x tptp.frac) % 0.31/0.55 (declare-const tptp.y tptp.frac) % 0.31/0.55 (define @t1 () (_ (_ tptp.eq tptp.x) tptp.y)) % 0.31/0.55 (define @t2 () (_ (_ tptp.moref tptp.x) tptp.y)) % 0.31/0.55 (define @t3 () (not @t2)) % 0.31/0.55 (define @t4 () (=> @t3 @t1)) % 0.31/0.55 (define @t5 () (_ (_ tptp.moref tptp.z) tptp.u)) % 0.31/0.55 (define @t6 () (@var "Xa" Bool)) % 0.31/0.55 (define @t7 () (@var "Xu" tptp.frac)) % 0.31/0.55 (define @t8 () (@var "Xy" tptp.frac)) % 0.31/0.55 (define @t9 () (_ (_ tptp.pf @t8) @t7)) % 0.31/0.55 (define @t10 () (@var "Xz" tptp.frac)) % 0.31/0.55 (define @t11 () (@var "Xx" tptp.frac)) % 0.31/0.55 (define @t12 () (_ (_ tptp.pf @t11) @t10)) % 0.31/0.55 (define @t13 () (_ (_ tptp.moref @t12) @t9)) % 0.31/0.55 (define @t14 () (_ (_ tptp.moref @t10) @t7)) % 0.31/0.55 (define @t15 () (=> @t14 @t13)) % 0.31/0.55 (define @t16 () (_ (_ tptp.eq @t11) @t8)) % 0.31/0.55 (define @t17 () (@list @t11 @t8 @t10 @t7)) % 0.31/0.55 (define @t18 () (forall @t17 (=> @t16 @t15))) % 0.31/0.55 (define @t19 () (_ (_ tptp.moref @t11) @t8)) % 0.31/0.55 (define @t20 () (forall @t17 (=> @t19 @t15))) % 0.31/0.55 (define @t21 () (_ (_ tptp.pf tptp.y) tptp.u)) % 0.31/0.55 (define @t22 () (_ (_ tptp.pf tptp.x) tptp.z)) % 0.31/0.55 (define @t23 () (_ (_ tptp.moref @t22) @t21)) % 0.31/0.55 (define @t24 () (not @t23)) % 0.31/0.55 (define @t25 () (tptp.pf @t8 @t7)) % 0.31/0.55 (define @t26 () (tptp.pf @t11 @t10)) % 0.31/0.55 (define @t27 () (tptp.moref @t26 @t25)) % 0.31/0.55 (define @t28 () (tptp.moref @t10 @t7)) % 0.31/0.55 (define @t29 () (not @t14)) % 0.31/0.55 (define @t30 () (tptp.eq @t11 @t8)) % 0.31/0.55 (define @t31 () (not @t16)) % 0.31/0.55 (define @t32 () (or @t31 @t29 @t13)) % 0.31/0.55 (define @t33 () (or @t29 @t13)) % 0.31/0.55 (define @t34 () (tptp.moref tptp.z tptp.u)) % 0.31/0.55 (define @t35 () (tptp.moref @t11 @t8)) % 0.31/0.55 (define @t36 () (not @t19)) % 0.31/0.55 (define @t37 () (or @t36 @t29 @t13)) % 0.31/0.55 (define @t38 () (@list tptp.x tptp.y tptp.z tptp.u)) % 0.31/0.55 (define @t39 () (tptp.pf tptp.y tptp.u)) % 0.31/0.55 (define @t40 () (tptp.pf tptp.x tptp.z)) % 0.31/0.55 (define @t41 () (tptp.moref @t40 @t39)) % 0.31/0.55 (define @t42 () (not @t34)) % 0.31/0.55 (define @t43 () (tptp.moref tptp.x tptp.y)) % 0.31/0.55 (define @t44 () (not @t43)) % 0.31/0.55 (define @t45 () (or @t44 @t42 @t41)) % 0.31/0.55 (define @t46 () (@list true false false)) % 0.31/0.55 (define @t47 () (tptp.eq tptp.x tptp.y)) % 0.31/0.55 (define @t48 () (not @t47)) % 0.31/0.55 (define @t49 () (or @t48 @t42 @t41)) % 0.31/0.55 (define @t50 () (not @t49)) % 0.31/0.55 (define @t51 () (forall @t17 (or (not @t30) (not @t28) @t27))) % 0.31/0.55 (assume @p1 @t4) % 0.31/0.55 (assume @p2 @t5) % 0.31/0.55 (assume @p3 (forall (@list @t6) (=> (not (not @t6)) @t6))) % 0.31/0.55 (assume @p4 @t18) % 0.31/0.55 (assume @p5 @t20) % 0.31/0.55 (assume @p6 @t24) % 0.31/0.55 (assume @p7 true) % 0.31/0.55 (step @p8 :rule refl :args ((tptp.moref @t12 @t9))) % 0.31/0.55 (step @p9 :rule refl :args (@t25)) % 0.31/0.55 (step @p10 :rule refl :args (@t26)) % 0.31/0.55 (step @p11 :rule cong :premises (@p10 @p9) :args (@t27)) % 0.31/0.55 (step @p12 :rule trans :premises (@p11 @p8)) % 0.31/0.55 (step @p13 :rule refl :args (tptp.moref)) % 0.31/0.55 (step @p14 :rule ho_cong :premises (@p13 @p10)) % 0.31/0.55 (step @p15 :rule ho_cong :premises (@p14 @p9)) % 0.31/0.55 (step @p16 :rule cong :premises (@p15 @p12) :args ((= (_ (_ tptp.moref @t26) @t25) @t27))) % 0.31/0.55 (step @p17 :rule symm :premises (@p16)) % 0.31/0.55 (step @p18 :rule refl :args (@t13)) % 0.31/0.55 (step @p19 :rule eq_resolve :premises (@p18 @p17)) % 0.31/0.55 (step @p20 :rule refl :args (@t9)) % 0.31/0.55 (step @p21 :rule cong :premises (@p20 @p9) :args ((= @t9 @t25))) % 0.31/0.55 (step @p22 :rule symm :premises (@p21)) % 0.31/0.55 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.31/0.55 (step @p24 :rule refl :args (@t12)) % 0.31/0.55 (step @p25 :rule cong :premises (@p24 @p10) :args ((= @t12 @t26))) % 0.31/0.55 (step @p26 :rule symm :premises (@p25)) % 0.31/0.55 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.31/0.55 (step @p28 :rule ho_cong :premises (@p13 @p27)) % 0.31/0.55 (step @p29 :rule ho_cong :premises (@p28 @p23)) % 0.31/0.55 (step @p30 :rule trans :premises (@p29 @p19)) % 0.31/0.55 (step @p31 :rule refl :args (@t28)) % 0.31/0.55 (step @p32 :rule refl :args (@t14)) % 0.31/0.55 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t14 @t28))) % 0.31/0.55 (step @p34 :rule symm :premises (@p33)) % 0.31/0.55 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.31/0.55 (step @p36 :rule cong :premises (@p35) :args (@t29)) % 0.31/0.55 (step @p37 :rule refl :args (@t30)) % 0.31/0.55 (step @p38 :rule refl :args (@t16)) % 0.31/0.55 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t16 @t30))) % 0.31/0.55 (step @p40 :rule symm :premises (@p39)) % 0.31/0.55 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.31/0.55 (step @p42 :rule cong :premises (@p41) :args (@t31)) % 0.31/0.55 (step @p43 :rule nary_cong :premises (@p42 @p36 @p30) :args (@t32)) % 0.31/0.55 (step @p44 :rule cong :premises (@p43) :args ((forall @t17 @t32))) % 0.31/0.55 (step @p45 :rule aci_norm :args ((= (or @t31 @t33) @t32))) % 0.31/0.55 (step @p46 :rule bool-impl-elim :args (@t14 @t13)) % 0.31/0.55 (step @p47 :rule refl :args (@t31)) % 0.31/0.55 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t31 @t15))) % 0.31/0.55 (step @p49 :rule trans :premises (@p48 @p45)) % 0.31/0.55 (step @p50 :rule bool-impl-elim :args (@t16 @t15)) % 0.31/0.55 (step @p51 :rule trans :premises (@p50 @p49)) % 0.31/0.55 (step @p52 :rule cong :premises (@p51) :args (@t18)) % 0.31/0.55 (step @p53 :rule trans :premises (@p52 @p44)) % 0.31/0.55 (step @p54 :rule eq_resolve :premises (@p4 @p53)) % 0.31/0.55 (step @p55 :rule refl :args (@t34)) % 0.31/0.55 (step @p56 :rule refl :args (@t5)) % 0.31/0.55 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t5 @t34))) % 0.31/0.55 (step @p58 :rule symm :premises (@p57)) % 0.31/0.55 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.31/0.55 (step @p60 :rule eq_resolve :premises (@p2 @p59)) % 0.31/0.55 (step @p61 :rule refl :args (@t35)) % 0.31/0.55 (step @p62 :rule refl :args (@t19)) % 0.31/0.55 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t19 @t35))) % 0.31/0.55 (step @p64 :rule symm :premises (@p63)) % 0.31/0.55 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.31/0.55 (step @p66 :rule cong :premises (@p65) :args (@t36)) % 0.31/0.55 (step @p67 :rule nary_cong :premises (@p66 @p36 @p30) :args (@t37)) % 0.31/0.55 (step @p68 :rule cong :premises (@p67) :args ((forall @t17 @t37))) % 0.31/0.55 (step @p69 :rule aci_norm :args ((= (or @t36 @t33) @t37))) % 0.31/0.55 (step @p70 :rule refl :args (@t36)) % 0.31/0.55 (step @p71 :rule nary_cong :premises (@p70 @p46) :args ((or @t36 @t15))) % 0.31/0.55 (step @p72 :rule trans :premises (@p71 @p69)) % 0.31/0.55 (step @p73 :rule bool-impl-elim :args (@t19 @t15)) % 0.31/0.55 (step @p74 :rule trans :premises (@p73 @p72)) % 0.31/0.55 (step @p75 :rule cong :premises (@p74) :args (@t20)) % 0.31/0.55 (step @p76 :rule trans :premises (@p75 @p68)) % 0.31/0.55 (step @p77 :rule eq_resolve :premises (@p5 @p76)) % 0.31/0.55 (step @p78 :rule instantiate :premises (@p77) :args (@t38)) % 0.31/0.55 (step @p79 :rule refl :args ((tptp.moref @t22 @t21))) % 0.31/0.55 (step @p80 :rule refl :args (@t39)) % 0.31/0.55 (step @p81 :rule refl :args (@t40)) % 0.31/0.55 (step @p82 :rule cong :premises (@p81 @p80) :args (@t41)) % 0.31/0.55 (step @p83 :rule trans :premises (@p82 @p79)) % 0.31/0.55 (step @p84 :rule ho_cong :premises (@p13 @p81)) % 0.31/0.55 (step @p85 :rule ho_cong :premises (@p84 @p80)) % 0.31/0.55 (step @p86 :rule cong :premises (@p85 @p83) :args ((= (_ (_ tptp.moref @t40) @t39) @t41))) % 0.31/0.55 (step @p87 :rule symm :premises (@p86)) % 0.31/0.55 (step @p88 :rule refl :args (@t23)) % 0.31/0.55 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.31/0.55 (step @p90 :rule refl :args (@t21)) % 0.31/0.55 (step @p91 :rule cong :premises (@p90 @p80) :args ((= @t21 @t39))) % 0.31/0.55 (step @p92 :rule symm :premises (@p91)) % 0.31/0.55 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 0.31/0.55 (step @p94 :rule refl :args (@t22)) % 0.31/0.55 (step @p95 :rule cong :premises (@p94 @p81) :args ((= @t22 @t40))) % 0.31/0.55 (step @p96 :rule symm :premises (@p95)) % 0.31/0.55 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 0.31/0.55 (step @p98 :rule refl :args (tptp.moref)) % 0.31/0.55 (step @p99 :rule ho_cong :premises (@p98 @p97)) % 0.31/0.55 (step @p100 :rule ho_cong :premises (@p99 @p93)) % 0.31/0.55 (step @p101 :rule trans :premises (@p100 @p89)) % 0.31/0.55 (step @p102 :rule cong :premises (@p101) :args (@t24)) % 0.31/0.55 (step @p103 :rule eq_resolve :premises (@p6 @p102)) % 0.31/0.55 (step @p104 :rule cnf_or_pos :args (@t45)) % 0.31/0.55 (step @p105 :rule reordering :premises (@p104) :args ((or @t44 @t41 @t42 (not @t45)))) % 0.31/0.55 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p60 @p78) :args (@t44 @t46 (@list @t41 @t34 @t45))) % 0.31/0.55 (step @p107 :rule refl :args (@t47)) % 0.31/0.55 (step @p108 :rule bool-double-not-elim :args (@t43)) % 0.31/0.55 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or (not @t44) @t47))) % 0.31/0.55 (step @p110 :rule refl :args (@t47)) % 0.31/0.55 (step @p111 :rule refl :args (@t1)) % 0.31/0.55 (step @p112 :rule cong :premises (@p111 @p110) :args ((= @t1 @t47))) % 0.31/0.55 (step @p113 :rule symm :premises (@p112)) % 0.31/0.55 (step @p114 :rule eq_resolve :premises (@p111 @p113)) % 0.31/0.55 (step @p115 :rule refl :args (@t43)) % 0.31/0.55 (step @p116 :rule refl :args (@t2)) % 0.31/0.55 (step @p117 :rule cong :premises (@p116 @p115) :args ((= @t2 @t43))) % 0.38/0.56 (step @p118 :rule symm :premises (@p117)) % 0.38/0.56 (step @p119 :rule eq_resolve :premises (@p116 @p118)) % 0.38/0.56 (step @p120 :rule cong :premises (@p119) :args (@t3)) % 0.38/0.56 (step @p121 :rule cong :premises (@p120 @p114) :args (@t4)) % 0.38/0.56 (step @p122 :rule eq_resolve :premises (@p1 @p121)) % 0.38/0.56 (step @p123 :rule implies_elim :premises (@p122)) % 0.38/0.56 (step @p124 :rule eq_resolve :premises (@p123 @p109)) % 0.38/0.56 (step @p125 :rule reordering :premises (@p124) :args ((or @t47 @t43))) % 0.38/0.56 (step @p126 :rule chain_m_resolution :premises (@p125 @p106) :args (@t47 (@list true) (@list @t43))) % 0.38/0.56 (step @p127 :rule cnf_or_pos :args (@t49)) % 0.38/0.56 (step @p128 :rule reordering :premises (@p127) :args ((or @t41 @t48 @t42 @t50))) % 0.38/0.56 (step @p129 :rule chain_m_resolution :premises (@p128 @p103 @p126 @p60) :args (@t50 @t46 (@list @t41 @t47 @t34))) % 0.38/0.56 (assume-push @p136 @t51) % 0.38/0.56 (step @p131 :rule instantiate :premises (@p54) :args (@t38)) % 0.38/0.56 (step-pop @p137 :rule scope :premises (@p131)) % 0.38/0.56 (step @p132 :rule process_scope :premises (@p137) :args (@t49)) % 0.38/0.56 (step @p134 :rule implies_elim :premises (@p132)) % 0.38/0.56 (step @p135 false :rule chain_m_resolution :premises (@p134 @p129 @p54) :args (false (@list true false) (@list @t49 @t51))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------