%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV240^5 : 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 : n017.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 08:55:39 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV240^5 : 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 : n017.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 18:20:31 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.36/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort tptp.a 0) % 0.36/0.57 (declare-const tptp.cA (-> (-> tptp.a Bool) Bool)) % 0.36/0.57 (define @t1 () (@var "Xx0" tptp.a)) % 0.36/0.57 (define @t2 () (@var "S" (-> tptp.a Bool))) % 0.36/0.57 (define @t3 () (_ @t2 @t1)) % 0.36/0.57 (define @t4 () (_ tptp.cA @t2)) % 0.36/0.57 (define @t5 () (and @t4 @t3)) % 0.36/0.57 (define @t6 () (@list @t2)) % 0.36/0.57 (define @t7 () (exists @t6 @t5)) % 0.36/0.57 (define @t8 () (@var "Xx" (-> tptp.a Bool))) % 0.36/0.57 (define @t9 () (_ @t8 @t1)) % 0.36/0.57 (define @t10 () (=> @t9 @t7)) % 0.36/0.57 (define @t11 () (@list @t1)) % 0.36/0.57 (define @t12 () (forall @t11 @t10)) % 0.36/0.57 (define @t13 () (_ tptp.cA @t8)) % 0.36/0.57 (define @t14 () (=> @t13 @t12)) % 0.36/0.57 (define @t15 () (@list @t8)) % 0.36/0.57 (define @t16 () (forall @t15 @t14)) % 0.36/0.57 (define @t17 () (not @t16)) % 0.36/0.57 (define @t18 () (@var "BOUND_VARIABLE_7459" tptp.a)) % 0.36/0.57 (define @t19 () (tptp.cA @t2)) % 0.36/0.57 (define @t20 () (not @t19)) % 0.36/0.57 (define @t21 () (not (forall @t6 (or @t20 (not (_ @t2 @t18)))))) % 0.36/0.57 (define @t22 () (not (_ @t8 @t18))) % 0.36/0.57 (define @t23 () (tptp.cA @t8)) % 0.36/0.57 (define @t24 () (not @t23)) % 0.36/0.57 (define @t25 () (or @t24 @t22 @t21)) % 0.36/0.57 (define @t26 () (or @t22 @t21)) % 0.36/0.57 (define @t27 () (or @t24 @t26)) % 0.36/0.57 (define @t28 () (@list @t8 @t18)) % 0.36/0.57 (define @t29 () (forall @t28 @t27)) % 0.36/0.57 (define @t30 () (@list @t18)) % 0.36/0.57 (define @t31 () (forall @t30 @t27)) % 0.36/0.57 (define @t32 () (forall @t30 @t26)) % 0.36/0.57 (define @t33 () (or @t24 @t32)) % 0.36/0.57 (define @t34 () (_ @t2 @t1)) % 0.36/0.57 (define @t35 () (not (forall @t6 (or @t20 (not @t34))))) % 0.36/0.57 (define @t36 () (_ @t8 @t1)) % 0.36/0.57 (define @t37 () (forall @t11 (or (not @t36) @t35))) % 0.36/0.57 (define @t38 () (not @t13)) % 0.36/0.57 (define @t39 () (or @t38 @t37)) % 0.36/0.57 (define @t40 () (not @t9)) % 0.36/0.57 (define @t41 () (or @t40 @t35)) % 0.36/0.57 (define @t42 () (not @t3)) % 0.36/0.57 (define @t43 () (not @t4)) % 0.36/0.57 (define @t44 () (or @t43 @t42)) % 0.36/0.57 (define @t45 () (forall @t6 (not @t5))) % 0.36/0.57 (define @t46 () (not @t45)) % 0.36/0.57 (define @t47 () (forall @t28 @t25)) % 0.36/0.57 (define @t48 () (@quantifiers_skolemize @t47 1)) % 0.36/0.57 (define @t49 () (forall @t6 (or @t20 (not (_ @t2 @t48))))) % 0.36/0.57 (define @t50 () (not @t49)) % 0.36/0.57 (define @t51 () (@quantifiers_skolemize @t47 0)) % 0.36/0.57 (define @t52 () (_ @t51 @t48)) % 0.36/0.57 (define @t53 () (not @t52)) % 0.36/0.57 (define @t54 () (tptp.cA @t51)) % 0.36/0.57 (define @t55 () (not @t54)) % 0.36/0.57 (define @t56 () (or @t55 @t53 @t50)) % 0.36/0.57 (define @t57 () (@list true)) % 0.36/0.57 (define @t58 () (@list @t56)) % 0.36/0.57 (define @t59 () (or @t55 @t53)) % 0.36/0.57 (define @t60 () (not @t59)) % 0.36/0.57 (assume @p1 @t17) % 0.36/0.57 (assume @p2 true) % 0.36/0.57 (step @p3 :rule aci_norm :args ((= @t27 @t25))) % 0.36/0.57 (step @p4 :rule cong :premises (@p3) :args (@t29)) % 0.36/0.57 (step @p5 :rule quant-merge-prenex :args ((= (forall @t15 @t31) @t29))) % 0.36/0.57 (step @p6 :rule alpha_equiv :args (@t32 (@list @t18) (@list @t1))) % 0.36/0.57 (step @p7 :rule refl :args (@t24)) % 0.36/0.57 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t33)) % 0.36/0.57 (step @p9 :rule quant-miniscope-or :args ((= @t31 @t33))) % 0.36/0.57 (step @p10 :rule trans :premises (@p9 @p8)) % 0.36/0.57 (step @p11 :rule symm :premises (@p10)) % 0.36/0.57 (step @p12 :rule cong :premises (@p11) :args ((forall @t15 (or @t24 @t37)))) % 0.36/0.57 (step @p13 :rule trans :premises (@p12 @p5)) % 0.36/0.57 (step @p14 :rule trans :premises (@p13 @p4)) % 0.36/0.57 (step @p15 :rule refl :args (@t37)) % 0.36/0.57 (step @p16 :rule refl :args (@t23)) % 0.36/0.57 (step @p17 :rule refl :args (@t13)) % 0.36/0.57 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t13 @t23))) % 0.36/0.57 (step @p19 :rule symm :premises (@p18)) % 0.36/0.57 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.36/0.57 (step @p21 :rule cong :premises (@p20) :args (@t38)) % 0.36/0.57 (step @p22 :rule nary_cong :premises (@p21 @p15) :args (@t39)) % 0.36/0.57 (step @p23 :rule cong :premises (@p22) :args ((forall @t15 @t39))) % 0.36/0.57 (step @p24 :rule trans :premises (@p23 @p14)) % 0.36/0.57 (step @p25 :rule bool-impl-elim :args (@t13 @t37)) % 0.36/0.57 (step @p26 :rule cong :premises (@p25) :args ((forall @t15 (=> @t13 @t37)))) % 0.36/0.57 (step @p27 :rule trans :premises (@p26 @p24)) % 0.36/0.57 (step @p28 :rule refl :args (@t35)) % 0.36/0.57 (step @p29 :rule refl :args (@t36)) % 0.36/0.57 (step @p30 :rule refl :args (@t9)) % 0.36/0.57 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t9 @t36))) % 0.36/0.57 (step @p32 :rule symm :premises (@p31)) % 0.36/0.57 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.36/0.57 (step @p34 :rule cong :premises (@p33) :args (@t40)) % 0.36/0.57 (step @p35 :rule nary_cong :premises (@p34 @p28) :args (@t41)) % 0.36/0.57 (step @p36 :rule cong :premises (@p35) :args ((forall @t11 @t41))) % 0.36/0.57 (step @p37 :rule bool-impl-elim :args (@t9 @t35)) % 0.36/0.57 (step @p38 :rule cong :premises (@p37) :args ((forall @t11 (=> @t9 @t35)))) % 0.36/0.57 (step @p39 :rule trans :premises (@p38 @p36)) % 0.36/0.57 (step @p40 :rule refl :args (@t34)) % 0.36/0.57 (step @p41 :rule refl :args (@t3)) % 0.36/0.57 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t3 @t34))) % 0.36/0.57 (step @p43 :rule symm :premises (@p42)) % 0.36/0.57 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.36/0.57 (step @p45 :rule cong :premises (@p44) :args (@t42)) % 0.36/0.57 (step @p46 :rule refl :args (@t19)) % 0.36/0.57 (step @p47 :rule refl :args (@t4)) % 0.36/0.57 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t4 @t19))) % 0.36/0.57 (step @p49 :rule symm :premises (@p48)) % 0.36/0.57 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.36/0.57 (step @p51 :rule cong :premises (@p50) :args (@t43)) % 0.36/0.57 (step @p52 :rule nary_cong :premises (@p51 @p45) :args (@t44)) % 0.36/0.57 (step @p53 :rule cong :premises (@p52) :args ((forall @t6 @t44))) % 0.36/0.57 (step @p54 :rule bool-and-de-morgan :args (@t4 @t3 true)) % 0.36/0.57 (step @p55 :rule cong :premises (@p54) :args (@t45)) % 0.36/0.57 (step @p56 :rule trans :premises (@p55 @p53)) % 0.36/0.57 (step @p57 :rule cong :premises (@p56) :args (@t46)) % 0.36/0.57 (step @p58 :rule exists-elim :args ((= @t7 @t46))) % 0.36/0.57 (step @p59 :rule trans :premises (@p58 @p57)) % 0.36/0.57 (step @p60 :rule refl :args (@t9)) % 0.36/0.57 (step @p61 :rule cong :premises (@p60 @p59) :args (@t10)) % 0.36/0.57 (step @p62 :rule cong :premises (@p61) :args (@t12)) % 0.36/0.57 (step @p63 :rule trans :premises (@p62 @p39)) % 0.36/0.57 (step @p64 :rule refl :args (@t13)) % 0.36/0.57 (step @p65 :rule cong :premises (@p64 @p63) :args (@t14)) % 0.36/0.57 (step @p66 :rule cong :premises (@p65) :args (@t16)) % 0.36/0.57 (step @p67 :rule trans :premises (@p66 @p27)) % 0.36/0.57 (step @p68 :rule cong :premises (@p67) :args (@t17)) % 0.36/0.57 (step @p69 :rule eq_resolve :premises (@p1 @p68)) % 0.36/0.57 (step @p70 :rule skolemize :premises (@p69)) % 0.36/0.57 (step @p71 :rule bool-double-not-elim :args (@t49)) % 0.36/0.57 (step @p72 :rule refl :args (@t56)) % 0.36/0.57 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t56 (not @t50)))) % 0.36/0.57 (step @p74 :rule cnf_or_neg :args (@t56 2)) % 0.36/0.57 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.36/0.57 (step @p76 :rule reordering :premises (@p75) :args ((or @t49 @t56))) % 0.36/0.57 (step @p77 :rule chain_m_resolution :premises (@p76 @p70) :args (@t49 @t57 @t58)) % 0.36/0.57 (step @p78 :rule bool-double-not-elim :args (@t52)) % 0.36/0.57 (step @p79 :rule nary_cong :premises (@p72 @p78) :args ((or @t56 (not @t53)))) % 0.36/0.57 (step @p80 :rule cnf_or_neg :args (@t56 1)) % 0.36/0.57 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.36/0.57 (step @p82 :rule reordering :premises (@p81) :args ((or @t52 @t56))) % 0.36/0.57 (step @p83 :rule chain_m_resolution :premises (@p82 @p70) :args (@t52 @t57 @t58)) % 0.36/0.57 (step @p84 :rule bool-double-not-elim :args (@t54)) % 0.36/0.57 (step @p85 :rule nary_cong :premises (@p72 @p84) :args ((or @t56 (not @t55)))) % 0.36/0.57 (step @p86 :rule cnf_or_neg :args (@t56 0)) % 0.36/0.57 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.36/0.57 (step @p88 :rule reordering :premises (@p87) :args ((or @t54 @t56))) % 0.36/0.57 (step @p89 :rule chain_m_resolution :premises (@p88 @p70) :args (@t54 @t57 @t58)) % 0.36/0.57 (step @p90 :rule cnf_or_pos :args (@t59)) % 0.36/0.57 (step @p91 :rule reordering :premises (@p90) :args ((or @t55 @t53 @t60))) % 0.36/0.57 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p83) :args (@t60 (@list false false) (@list @t54 @t52))) % 0.36/0.57 (assume-push @p99 @t49) % 0.36/0.57 (step @p94 :rule instantiate :premises (@p77) :args ((@list @t51))) % 0.36/0.57 (step-pop @p100 :rule scope :premises (@p94)) % 0.36/0.57 (step @p95 :rule process_scope :premises (@p100) :args (@t59)) % 0.36/0.57 (step @p97 :rule implies_elim :premises (@p95)) % 0.36/0.57 (step @p98 false :rule chain_m_resolution :premises (@p97 @p92 @p77) :args (false (@list true false) (@list @t59 @t49))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------