%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM767^1 : 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 : 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 08:40:37 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM767^1 : 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 % 0.16/0.34 % Computer : n028.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 : Tue Jun 2 12:16:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.48 %----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.w tptp.frac) % 0.31/0.55 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 0.31/0.55 (declare-const tptp.pf (-> tptp.frac tptp.frac tptp.frac)) % 0.31/0.55 (declare-const tptp.y tptp.frac) % 0.31/0.55 (declare-const tptp.v tptp.frac) % 0.31/0.55 (declare-const tptp.x tptp.frac) % 0.31/0.55 (define @t1 () (_ tptp.pf tptp.y)) % 0.31/0.55 (define @t2 () (_ @t1 tptp.v)) % 0.31/0.55 (define @t3 () (_ (_ tptp.eq @t2) tptp.x)) % 0.31/0.55 (define @t4 () (_ @t1 tptp.w)) % 0.31/0.55 (define @t5 () (_ (_ tptp.eq @t4) tptp.x)) % 0.31/0.55 (define @t6 () (@var "Xy" tptp.frac)) % 0.31/0.55 (define @t7 () (@var "Xx" tptp.frac)) % 0.31/0.55 (define @t8 () (_ tptp.eq @t7)) % 0.31/0.55 (define @t9 () (_ @t8 @t6)) % 0.31/0.55 (define @t10 () (@var "Xz" tptp.frac)) % 0.31/0.55 (define @t11 () (_ tptp.pf @t10)) % 0.31/0.55 (define @t12 () (_ @t11 @t6)) % 0.31/0.55 (define @t13 () (_ @t11 @t7)) % 0.31/0.55 (define @t14 () (_ (_ tptp.eq @t13) @t12)) % 0.31/0.55 (define @t15 () (@list @t7 @t6 @t10)) % 0.31/0.55 (define @t16 () (forall @t15 (=> @t14 @t9))) % 0.31/0.55 (define @t17 () (_ @t8 @t10)) % 0.31/0.55 (define @t18 () (_ tptp.eq @t6)) % 0.31/0.55 (define @t19 () (_ @t18 @t10)) % 0.31/0.55 (define @t20 () (=> @t19 @t17)) % 0.31/0.55 (define @t21 () (forall @t15 (=> @t9 @t20))) % 0.31/0.55 (define @t22 () (_ @t18 @t7)) % 0.31/0.55 (define @t23 () (@list @t7 @t6)) % 0.31/0.55 (define @t24 () (forall @t23 (=> @t9 @t22))) % 0.31/0.55 (define @t25 () (_ (_ tptp.eq tptp.v) tptp.w)) % 0.31/0.55 (define @t26 () (not @t25)) % 0.31/0.55 (define @t27 () (tptp.eq @t7 @t6)) % 0.31/0.55 (define @t28 () (tptp.pf @t10 @t6)) % 0.31/0.55 (define @t29 () (tptp.pf @t10 @t7)) % 0.31/0.55 (define @t30 () (tptp.eq @t29 @t28)) % 0.31/0.55 (define @t31 () (not @t14)) % 0.31/0.55 (define @t32 () (or @t31 @t9)) % 0.31/0.55 (define @t33 () (tptp.eq @t7 @t10)) % 0.31/0.55 (define @t34 () (tptp.eq @t6 @t10)) % 0.31/0.55 (define @t35 () (not @t19)) % 0.31/0.55 (define @t36 () (not @t9)) % 0.31/0.55 (define @t37 () (or @t36 @t35 @t17)) % 0.31/0.55 (define @t38 () (tptp.pf tptp.y tptp.w)) % 0.31/0.55 (define @t39 () (tptp.pf tptp.y tptp.v)) % 0.31/0.55 (define @t40 () (tptp.eq @t6 @t7)) % 0.31/0.55 (define @t41 () (or @t36 @t22)) % 0.31/0.55 (define @t42 () (tptp.eq @t38 tptp.x)) % 0.31/0.55 (define @t43 () (tptp.eq tptp.x @t38)) % 0.31/0.55 (define @t44 () (not @t42)) % 0.31/0.55 (define @t45 () (or @t44 @t43)) % 0.31/0.55 (define @t46 () (tptp.eq @t39 tptp.x)) % 0.31/0.55 (define @t47 () (tptp.eq @t39 @t38)) % 0.31/0.55 (define @t48 () (not @t43)) % 0.31/0.55 (define @t49 () (not @t46)) % 0.31/0.55 (define @t50 () (or @t49 @t48 @t47)) % 0.31/0.55 (define @t51 () (tptp.eq tptp.v tptp.w)) % 0.31/0.55 (define @t52 () (not @t47)) % 0.31/0.55 (define @t53 () (or @t52 @t51)) % 0.31/0.55 (define @t54 () (not @t53)) % 0.31/0.55 (define @t55 () (@list true false)) % 0.31/0.55 (define @t56 () (forall @t15 (or (not @t30) @t27))) % 0.31/0.55 (assume @p1 @t3) % 0.31/0.55 (assume @p2 @t5) % 0.31/0.55 (assume @p3 @t16) % 0.31/0.55 (assume @p4 @t21) % 0.31/0.55 (assume @p5 @t24) % 0.31/0.55 (assume @p6 @t26) % 0.31/0.55 (assume @p7 true) % 0.31/0.55 (step @p8 :rule refl :args (@t27)) % 0.31/0.55 (step @p9 :rule refl :args (@t9)) % 0.31/0.55 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t9 @t27))) % 0.31/0.55 (step @p11 :rule symm :premises (@p10)) % 0.31/0.55 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.31/0.55 (step @p13 :rule refl :args ((tptp.eq @t13 @t12))) % 0.31/0.55 (step @p14 :rule refl :args (@t28)) % 0.31/0.55 (step @p15 :rule refl :args (@t29)) % 0.31/0.55 (step @p16 :rule cong :premises (@p15 @p14) :args (@t30)) % 0.31/0.55 (step @p17 :rule trans :premises (@p16 @p13)) % 0.31/0.55 (step @p18 :rule refl :args (tptp.eq)) % 0.31/0.55 (step @p19 :rule ho_cong :premises (@p18 @p15)) % 0.31/0.55 (step @p20 :rule ho_cong :premises (@p19 @p14)) % 0.31/0.55 (step @p21 :rule cong :premises (@p20 @p17) :args ((= (_ (_ tptp.eq @t29) @t28) @t30))) % 0.31/0.55 (step @p22 :rule symm :premises (@p21)) % 0.31/0.55 (step @p23 :rule refl :args (@t14)) % 0.31/0.55 (step @p24 :rule eq_resolve :premises (@p23 @p22)) % 0.31/0.55 (step @p25 :rule refl :args (@t12)) % 0.31/0.55 (step @p26 :rule cong :premises (@p25 @p14) :args ((= @t12 @t28))) % 0.31/0.55 (step @p27 :rule symm :premises (@p26)) % 0.31/0.55 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.31/0.55 (step @p29 :rule refl :args (@t13)) % 0.31/0.55 (step @p30 :rule cong :premises (@p29 @p15) :args ((= @t13 @t29))) % 0.31/0.55 (step @p31 :rule symm :premises (@p30)) % 0.31/0.55 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.31/0.55 (step @p33 :rule ho_cong :premises (@p18 @p32)) % 0.31/0.55 (step @p34 :rule ho_cong :premises (@p33 @p28)) % 0.31/0.55 (step @p35 :rule trans :premises (@p34 @p24)) % 0.31/0.55 (step @p36 :rule cong :premises (@p35) :args (@t31)) % 0.31/0.55 (step @p37 :rule nary_cong :premises (@p36 @p12) :args (@t32)) % 0.31/0.55 (step @p38 :rule cong :premises (@p37) :args ((forall @t15 @t32))) % 0.31/0.55 (step @p39 :rule bool-impl-elim :args (@t14 @t9)) % 0.31/0.55 (step @p40 :rule cong :premises (@p39) :args (@t16)) % 0.31/0.55 (step @p41 :rule trans :premises (@p40 @p38)) % 0.31/0.55 (step @p42 :rule eq_resolve :premises (@p3 @p41)) % 0.31/0.55 (step @p43 :rule refl :args (@t33)) % 0.31/0.55 (step @p44 :rule refl :args (@t17)) % 0.31/0.55 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t17 @t33))) % 0.31/0.55 (step @p46 :rule symm :premises (@p45)) % 0.31/0.55 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.31/0.55 (step @p48 :rule refl :args (@t34)) % 0.31/0.55 (step @p49 :rule refl :args (@t19)) % 0.31/0.55 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t19 @t34))) % 0.31/0.55 (step @p51 :rule symm :premises (@p50)) % 0.31/0.55 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.31/0.55 (step @p53 :rule cong :premises (@p52) :args (@t35)) % 0.31/0.55 (step @p54 :rule cong :premises (@p12) :args (@t36)) % 0.31/0.55 (step @p55 :rule nary_cong :premises (@p54 @p53 @p47) :args (@t37)) % 0.31/0.55 (step @p56 :rule cong :premises (@p55) :args ((forall @t15 @t37))) % 0.31/0.55 (step @p57 :rule aci_norm :args ((= (or @t36 (or @t35 @t17)) @t37))) % 0.31/0.55 (step @p58 :rule bool-impl-elim :args (@t19 @t17)) % 0.31/0.55 (step @p59 :rule refl :args (@t36)) % 0.31/0.55 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t36 @t20))) % 0.31/0.55 (step @p61 :rule trans :premises (@p60 @p57)) % 0.31/0.55 (step @p62 :rule bool-impl-elim :args (@t9 @t20)) % 0.31/0.55 (step @p63 :rule trans :premises (@p62 @p61)) % 0.31/0.55 (step @p64 :rule cong :premises (@p63) :args (@t21)) % 0.31/0.55 (step @p65 :rule trans :premises (@p64 @p56)) % 0.31/0.55 (step @p66 :rule eq_resolve :premises (@p4 @p65)) % 0.31/0.55 (step @p67 :rule instantiate :premises (@p66) :args ((@list @t39 tptp.x @t38))) % 0.31/0.55 (step @p68 :rule refl :args (@t40)) % 0.31/0.55 (step @p69 :rule refl :args (@t22)) % 0.31/0.55 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t22 @t40))) % 0.31/0.55 (step @p71 :rule symm :premises (@p70)) % 0.31/0.55 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 0.31/0.55 (step @p73 :rule nary_cong :premises (@p54 @p72) :args (@t41)) % 0.31/0.55 (step @p74 :rule cong :premises (@p73) :args ((forall @t23 @t41))) % 0.31/0.55 (step @p75 :rule bool-impl-elim :args (@t9 @t22)) % 0.31/0.55 (step @p76 :rule cong :premises (@p75) :args (@t24)) % 0.31/0.55 (step @p77 :rule trans :premises (@p76 @p74)) % 0.31/0.55 (step @p78 :rule eq_resolve :premises (@p5 @p77)) % 0.31/0.55 (step @p79 :rule instantiate :premises (@p78) :args ((@list @t38 tptp.x))) % 0.31/0.55 (step @p80 :rule refl :args ((tptp.eq @t4 tptp.x))) % 0.31/0.55 (step @p81 :rule refl :args (tptp.x)) % 0.31/0.55 (step @p82 :rule refl :args (@t38)) % 0.31/0.55 (step @p83 :rule cong :premises (@p82 @p81) :args (@t42)) % 0.31/0.55 (step @p84 :rule trans :premises (@p83 @p80)) % 0.31/0.55 (step @p85 :rule ho_cong :premises (@p18 @p82)) % 0.31/0.55 (step @p86 :rule ho_cong :premises (@p85 @p81)) % 0.31/0.55 (step @p87 :rule cong :premises (@p86 @p84) :args ((= (_ (_ tptp.eq @t38) tptp.x) @t42))) % 0.31/0.55 (step @p88 :rule symm :premises (@p87)) % 0.31/0.55 (step @p89 :rule refl :args (@t5)) % 0.31/0.55 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.31/0.55 (step @p91 :rule refl :args (tptp.x)) % 0.31/0.55 (step @p92 :rule refl :args (@t4)) % 0.31/0.55 (step @p93 :rule cong :premises (@p92 @p82) :args ((= @t4 @t38))) % 0.31/0.55 (step @p94 :rule symm :premises (@p93)) % 0.31/0.55 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 0.31/0.55 (step @p96 :rule refl :args (tptp.eq)) % 0.31/0.55 (step @p97 :rule ho_cong :premises (@p96 @p95)) % 0.31/0.55 (step @p98 :rule ho_cong :premises (@p97 @p91)) % 0.31/0.55 (step @p99 :rule trans :premises (@p98 @p90)) % 0.31/0.55 (step @p100 :rule eq_resolve :premises (@p2 @p99)) % 0.31/0.55 (step @p101 :rule cnf_or_pos :args (@t45)) % 0.31/0.55 (step @p102 :rule reordering :premises (@p101) :args ((or @t44 @t43 (not @t45)))) % 0.31/0.55 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p79) :args (@t43 (@list false false) (@list @t42 @t45))) % 0.31/0.55 (step @p104 :rule refl :args ((tptp.eq @t2 tptp.x))) % 0.31/0.55 (step @p105 :rule refl :args (@t39)) % 0.31/0.55 (step @p106 :rule cong :premises (@p105 @p81) :args (@t46)) % 0.31/0.55 (step @p107 :rule trans :premises (@p106 @p104)) % 0.31/0.55 (step @p108 :rule ho_cong :premises (@p18 @p105)) % 0.31/0.55 (step @p109 :rule ho_cong :premises (@p108 @p81)) % 0.31/0.55 (step @p110 :rule cong :premises (@p109 @p107) :args ((= (_ (_ tptp.eq @t39) tptp.x) @t46))) % 0.31/0.55 (step @p111 :rule symm :premises (@p110)) % 0.31/0.55 (step @p112 :rule refl :args (@t3)) % 0.31/0.55 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.31/0.55 (step @p114 :rule refl :args (@t2)) % 0.31/0.55 (step @p115 :rule cong :premises (@p114 @p105) :args ((= @t2 @t39))) % 0.31/0.55 (step @p116 :rule symm :premises (@p115)) % 0.31/0.55 (step @p117 :rule eq_resolve :premises (@p114 @p116)) % 0.31/0.55 (step @p118 :rule ho_cong :premises (@p96 @p117)) % 0.40/0.56 (step @p119 :rule ho_cong :premises (@p118 @p91)) % 0.40/0.56 (step @p120 :rule trans :premises (@p119 @p113)) % 0.40/0.56 (step @p121 :rule eq_resolve :premises (@p1 @p120)) % 0.40/0.56 (step @p122 :rule cnf_or_pos :args (@t50)) % 0.40/0.56 (step @p123 :rule reordering :premises (@p122) :args ((or @t49 @t48 @t47 (not @t50)))) % 0.40/0.56 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p103 @p67) :args (@t47 (@list false false false) (@list @t46 @t43 @t50))) % 0.40/0.56 (step @p125 :rule refl :args (@t51)) % 0.40/0.56 (step @p126 :rule refl :args (@t25)) % 0.40/0.56 (step @p127 :rule cong :premises (@p126 @p125) :args ((= @t25 @t51))) % 0.40/0.56 (step @p128 :rule symm :premises (@p127)) % 0.40/0.56 (step @p129 :rule eq_resolve :premises (@p126 @p128)) % 0.40/0.56 (step @p130 :rule cong :premises (@p129) :args (@t26)) % 0.40/0.56 (step @p131 :rule eq_resolve :premises (@p6 @p130)) % 0.40/0.56 (step @p132 :rule cnf_or_pos :args (@t53)) % 0.40/0.56 (step @p133 :rule reordering :premises (@p132) :args ((or @t51 @t52 @t54))) % 0.40/0.56 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p124) :args (@t54 @t55 (@list @t51 @t47))) % 0.40/0.56 (assume-push @p141 @t56) % 0.40/0.56 (step @p136 :rule instantiate :premises (@p42) :args ((@list tptp.v tptp.w tptp.y))) % 0.40/0.56 (step-pop @p142 :rule scope :premises (@p136)) % 0.40/0.56 (step @p137 :rule process_scope :premises (@p142) :args (@t53)) % 0.40/0.56 (step @p139 :rule implies_elim :premises (@p137)) % 0.40/0.56 (step @p140 false :rule chain_m_resolution :premises (@p139 @p134 @p42) :args (false @t55 (@list @t53 @t56))) % 0.40/0.56 ) % 0.40/0.56 % SZS output end Proof % 0.40/0.56 % cvc5 exiting %------------------------------------------------------------------------------