%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU888^5 : 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 : n015.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 08:53:29 AM UTC 2026 % Result : Theorem 0.37s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU888^5 : TPTP v9.2.1. Released v4.0.0. % 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 : n015.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 17:57:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.37/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.55 % SZS status Theorem % 0.37/0.55 % SZS output start Proof % 0.37/0.55 ( % 0.37/0.55 (declare-sort tptp.b 0) % 0.37/0.55 (declare-sort tptp.a 0) % 0.37/0.55 (declare-const tptp.x tptp.b) % 0.37/0.55 (declare-const tptp.y tptp.b) % 0.37/0.55 (declare-const tptp.z tptp.a) % 0.37/0.55 (declare-const tptp.g (-> tptp.b tptp.a)) % 0.37/0.55 (define @t1 () (@var "Xt" tptp.b)) % 0.37/0.55 (define @t2 () (_ tptp.g @t1)) % 0.37/0.55 (define @t3 () (= tptp.z @t2)) % 0.37/0.55 (define @t4 () (or (= @t1 tptp.x) (= @t1 tptp.y))) % 0.37/0.55 (define @t5 () (and @t4 @t3)) % 0.37/0.55 (define @t6 () (@list @t1)) % 0.37/0.55 (define @t7 () (exists @t6 @t5)) % 0.37/0.55 (define @t8 () (_ tptp.g tptp.y)) % 0.37/0.55 (define @t9 () (= tptp.z @t8)) % 0.37/0.55 (define @t10 () (_ tptp.g tptp.x)) % 0.37/0.55 (define @t11 () (= tptp.z @t10)) % 0.37/0.55 (define @t12 () (or @t11 @t9)) % 0.37/0.55 (define @t13 () (=> @t12 @t7)) % 0.37/0.55 (define @t14 () (not @t13)) % 0.37/0.55 (define @t15 () (tptp.g tptp.y)) % 0.37/0.55 (define @t16 () (= tptp.z @t15)) % 0.37/0.55 (define @t17 () (not @t16)) % 0.37/0.55 (define @t18 () (tptp.g tptp.x)) % 0.37/0.55 (define @t19 () (= tptp.z @t18)) % 0.37/0.55 (define @t20 () (not @t19)) % 0.37/0.55 (define @t21 () (not (and @t20 @t17))) % 0.37/0.55 (define @t22 () (=> @t12 @t21)) % 0.37/0.55 (define @t23 () (not (= tptp.y tptp.y))) % 0.37/0.55 (define @t24 () (or @t23 @t17)) % 0.37/0.55 (define @t25 () (@var "BOUND_VARIABLE_7463" tptp.b)) % 0.37/0.55 (define @t26 () (not (= tptp.z (tptp.g @t25)))) % 0.37/0.55 (define @t27 () (not (= tptp.y @t25))) % 0.37/0.55 (define @t28 () (@list @t25)) % 0.37/0.55 (define @t29 () (or @t27 @t27 @t26)) % 0.37/0.55 (define @t30 () (or @t27 @t26)) % 0.37/0.55 (define @t31 () (forall @t28 @t30)) % 0.37/0.55 (define @t32 () (not (= tptp.x tptp.x))) % 0.37/0.55 (define @t33 () (or @t32 @t20)) % 0.37/0.55 (define @t34 () (@var "BOUND_VARIABLE_7453" tptp.b)) % 0.37/0.55 (define @t35 () (not (= tptp.z (tptp.g @t34)))) % 0.37/0.55 (define @t36 () (not (= tptp.x @t34))) % 0.37/0.55 (define @t37 () (@list @t34)) % 0.37/0.55 (define @t38 () (or @t36 @t36 @t35)) % 0.37/0.55 (define @t39 () (or @t36 @t35)) % 0.37/0.55 (define @t40 () (forall @t37 @t39)) % 0.37/0.55 (define @t41 () (tptp.g @t1)) % 0.37/0.55 (define @t42 () (not (= tptp.z @t41))) % 0.37/0.55 (define @t43 () (= tptp.y @t1)) % 0.37/0.55 (define @t44 () (not @t43)) % 0.37/0.55 (define @t45 () (or @t44 @t42)) % 0.37/0.55 (define @t46 () (forall @t6 @t45)) % 0.37/0.55 (define @t47 () (@list @t1)) % 0.37/0.55 (define @t48 () (= tptp.x @t1)) % 0.37/0.55 (define @t49 () (not @t48)) % 0.37/0.55 (define @t50 () (or @t49 @t42)) % 0.37/0.55 (define @t51 () (forall @t6 @t50)) % 0.37/0.55 (define @t52 () (and @t51 @t46)) % 0.37/0.55 (define @t53 () (and @t49 @t44)) % 0.37/0.55 (define @t54 () (not @t3)) % 0.37/0.55 (define @t55 () (or @t53 @t54)) % 0.37/0.55 (define @t56 () (or @t48 @t43)) % 0.37/0.55 (define @t57 () (and @t56 @t3)) % 0.37/0.55 (define @t58 () (forall @t6 (not @t57))) % 0.37/0.55 (define @t59 () (not @t58)) % 0.37/0.55 (assume @p1 @t14) % 0.37/0.55 (assume @p2 true) % 0.37/0.55 (step @p3 :rule refl :args (@t21)) % 0.37/0.55 (step @p4 :rule refl :args (@t15)) % 0.37/0.55 (step @p5 :rule refl :args (@t8)) % 0.37/0.55 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t8 @t15))) % 0.37/0.55 (step @p7 :rule symm :premises (@p6)) % 0.37/0.55 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.37/0.55 (step @p9 :rule refl :args (tptp.z)) % 0.37/0.55 (step @p10 :rule cong :premises (@p9 @p8) :args (@t9)) % 0.37/0.55 (step @p11 :rule refl :args (@t18)) % 0.37/0.55 (step @p12 :rule refl :args (@t10)) % 0.37/0.55 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t10 @t18))) % 0.37/0.55 (step @p14 :rule symm :premises (@p13)) % 0.37/0.55 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.37/0.55 (step @p16 :rule cong :premises (@p9 @p15) :args (@t11)) % 0.37/0.55 (step @p17 :rule nary_cong :premises (@p16 @p10) :args (@t12)) % 0.37/0.55 (step @p18 :rule cong :premises (@p17 @p3) :args (@t22)) % 0.37/0.55 (step @p19 :rule cong :premises (@p18) :args ((not @t22))) % 0.37/0.55 (step @p20 :rule aci_norm :args ((= (or false @t17) @t17))) % 0.37/0.55 (step @p21 :rule refl :args (@t17)) % 0.37/0.55 (step @p22 :rule evaluate :args ((not true))) % 0.37/0.55 (step @p23 :rule eq-refl :args (tptp.y)) % 0.37/0.55 (step @p24 :rule cong :premises (@p23) :args (@t23)) % 0.37/0.55 (step @p25 :rule trans :premises (@p24 @p22)) % 0.37/0.55 (step @p26 :rule nary_cong :premises (@p25 @p21) :args (@t24)) % 0.37/0.55 (step @p27 :rule trans :premises (@p26 @p20)) % 0.37/0.55 (step @p28 :rule quant-var-elim-eq :args ((= (forall @t28 (or (not (= @t25 tptp.y)) @t27 @t26)) @t24))) % 0.37/0.55 (step @p29 :rule refl :args (@t26)) % 0.37/0.55 (step @p30 :rule refl :args (@t27)) % 0.37/0.55 (step @p31 :rule eq-symm :args (tptp.y @t25)) % 0.37/0.55 (step @p32 :rule cong :premises (@p31) :args (@t27)) % 0.37/0.55 (step @p33 :rule nary_cong :premises (@p32 @p30 @p29) :args (@t29)) % 0.37/0.55 (step @p34 :rule aci_norm :args ((= @t30 @t29))) % 0.37/0.55 (step @p35 :rule trans :premises (@p34 @p33)) % 0.37/0.55 (step @p36 :rule cong :premises (@p35) :args (@t31)) % 0.37/0.56 (step @p37 :rule trans :premises (@p36 @p28)) % 0.37/0.56 (step @p38 :rule trans :premises (@p37 @p27)) % 0.37/0.56 (step @p39 :rule aci_norm :args ((= (or false @t20) @t20))) % 0.37/0.56 (step @p40 :rule refl :args (@t20)) % 0.37/0.56 (step @p41 :rule eq-refl :args (tptp.x)) % 0.37/0.56 (step @p42 :rule cong :premises (@p41) :args (@t32)) % 0.37/0.56 (step @p43 :rule trans :premises (@p42 @p22)) % 0.37/0.56 (step @p44 :rule nary_cong :premises (@p43 @p40) :args (@t33)) % 0.37/0.56 (step @p45 :rule trans :premises (@p44 @p39)) % 0.37/0.56 (step @p46 :rule quant-var-elim-eq :args ((= (forall @t37 (or (not (= @t34 tptp.x)) @t36 @t35)) @t33))) % 0.37/0.56 (step @p47 :rule refl :args (@t35)) % 0.37/0.56 (step @p48 :rule refl :args (@t36)) % 0.37/0.56 (step @p49 :rule eq-symm :args (tptp.x @t34)) % 0.37/0.56 (step @p50 :rule cong :premises (@p49) :args (@t36)) % 0.37/0.56 (step @p51 :rule nary_cong :premises (@p50 @p48 @p47) :args (@t38)) % 0.37/0.56 (step @p52 :rule aci_norm :args ((= @t39 @t38))) % 0.37/0.56 (step @p53 :rule trans :premises (@p52 @p51)) % 0.37/0.56 (step @p54 :rule cong :premises (@p53) :args (@t40)) % 0.37/0.56 (step @p55 :rule trans :premises (@p54 @p46)) % 0.37/0.56 (step @p56 :rule trans :premises (@p55 @p45)) % 0.37/0.56 (step @p57 :rule nary_cong :premises (@p56 @p38) :args ((and @t40 @t31))) % 0.37/0.56 (step @p58 :rule alpha_equiv :args (@t46 @t47 (@list @t25))) % 0.37/0.56 (step @p59 :rule alpha_equiv :args (@t51 @t47 (@list @t34))) % 0.37/0.56 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t52)) % 0.37/0.56 (step @p61 :rule quant-miniscope-and :args ((= (forall @t6 (and @t50 @t45)) @t52))) % 0.37/0.56 (step @p62 :rule trans :premises (@p61 @p60)) % 0.37/0.56 (step @p63 :rule trans :premises (@p62 @p57)) % 0.37/0.56 (step @p64 :rule bool-or-and-distrib :args (@t49 @t44 true @t42 false)) % 0.37/0.56 (step @p65 :rule cong :premises (@p64) :args ((forall @t6 (or @t53 @t42)))) % 0.37/0.56 (step @p66 :rule trans :premises (@p65 @p63)) % 0.37/0.56 (step @p67 :rule refl :args (@t41)) % 0.37/0.56 (step @p68 :rule refl :args (@t2)) % 0.37/0.56 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t2 @t41))) % 0.37/0.56 (step @p70 :rule symm :premises (@p69)) % 0.37/0.56 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.37/0.56 (step @p72 :rule refl :args (tptp.z)) % 0.37/0.56 (step @p73 :rule cong :premises (@p72 @p71) :args (@t3)) % 0.37/0.56 (step @p74 :rule cong :premises (@p73) :args (@t54)) % 0.37/0.56 (step @p75 :rule refl :args (@t53)) % 0.37/0.56 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t55)) % 0.37/0.56 (step @p77 :rule cong :premises (@p76) :args ((forall @t6 @t55))) % 0.37/0.56 (step @p78 :rule trans :premises (@p77 @p66)) % 0.37/0.56 (step @p79 :rule refl :args (@t54)) % 0.37/0.56 (step @p80 :rule bool-or-de-morgan :args (@t48 @t43 false)) % 0.37/0.56 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or (not @t56) @t54))) % 0.37/0.56 (step @p82 :rule bool-and-de-morgan :args (@t56 @t3 true)) % 0.37/0.56 (step @p83 :rule trans :premises (@p82 @p81)) % 0.37/0.56 (step @p84 :rule cong :premises (@p83) :args (@t58)) % 0.37/0.56 (step @p85 :rule trans :premises (@p84 @p78)) % 0.37/0.56 (step @p86 :rule cong :premises (@p85) :args (@t59)) % 0.37/0.56 (step @p87 :rule exists-elim :args ((= (exists @t6 @t57) @t59))) % 0.37/0.56 (step @p88 :rule trans :premises (@p87 @p86)) % 0.37/0.56 (step @p89 :rule refl :args (@t3)) % 0.37/0.56 (step @p90 :rule eq-symm :args (@t1 tptp.y)) % 0.37/0.56 (step @p91 :rule eq-symm :args (@t1 tptp.x)) % 0.37/0.56 (step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t4)) % 0.37/0.56 (step @p93 :rule nary_cong :premises (@p92 @p89) :args (@t5)) % 0.37/0.56 (step @p94 :rule cong :premises (@p93) :args (@t7)) % 0.37/0.56 (step @p95 :rule trans :premises (@p94 @p88)) % 0.37/0.56 (step @p96 :rule refl :args (@t12)) % 0.37/0.56 (step @p97 :rule cong :premises (@p96 @p95) :args (@t13)) % 0.37/0.56 (step @p98 :rule cong :premises (@p97) :args (@t14)) % 0.37/0.56 (step @p99 :rule trans :premises (@p98 @p19)) % 0.37/0.56 (step @p100 :rule eq_resolve :premises (@p1 @p99)) % 0.37/0.56 (step @p101 :rule not_implies_elim2 :premises (@p100)) % 0.37/0.56 (step @p102 :rule not_not_elim :premises (@p101)) % 0.37/0.56 (step @p103 :rule and_elim :premises (@p102) :args (0)) % 0.37/0.56 (step @p104 :rule not_implies_elim1 :premises (@p100)) % 0.37/0.56 (step @p105 :rule chain_m_resolution :premises (@p104 @p103) :args (@t16 (@list true) (@list @t19))) % 0.37/0.56 (step @p106 :rule and_elim :premises (@p102) :args (1)) % 0.37/0.56 (step @p107 false :rule chain_m_resolution :premises (@p106 @p105) :args (false (@list false) (@list @t16))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------