%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN940+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.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 09:10:06 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 : SYN940+1 : TPTP v9.2.1. Released v3.1.0. % 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 : n004.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 23:48:38 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 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 $$unsorted 0) % 0.36/0.57 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.p (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.r (-> $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.q (-> $$unsorted Bool)) % 0.36/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.57 (define @t2 () (tptp.q @t1)) % 0.36/0.57 (define @t3 () (@var "C" $$unsorted)) % 0.36/0.57 (define @t4 () (tptp.r @t3)) % 0.36/0.57 (define @t5 () (@var "B" $$unsorted)) % 0.36/0.57 (define @t6 () (tptp.r @t5)) % 0.36/0.57 (define @t7 () (and @t6 @t4)) % 0.36/0.57 (define @t8 () (@var "Y" $$unsorted)) % 0.36/0.57 (define @t9 () (tptp.r @t8)) % 0.36/0.57 (define @t10 () (=> @t9 @t7)) % 0.36/0.57 (define @t11 () (tptp.p @t1)) % 0.36/0.57 (define @t12 () (and @t11 @t10)) % 0.36/0.57 (define @t13 () (tptp.p (tptp.f @t8))) % 0.36/0.57 (define @t14 () (=> @t13 @t12)) % 0.36/0.57 (define @t15 () (and @t14 @t2)) % 0.36/0.57 (define @t16 () (@list @t1 @t8)) % 0.36/0.57 (define @t17 () (exists @t16 @t15)) % 0.36/0.57 (define @t18 () (@var "Z" $$unsorted)) % 0.36/0.57 (define @t19 () (forall (@list @t18) (tptp.q (tptp.f @t18)))) % 0.36/0.57 (define @t20 () (=> @t19 @t17)) % 0.36/0.57 (define @t21 () (@list @t5 @t3)) % 0.36/0.57 (define @t22 () (forall @t21 @t20)) % 0.36/0.57 (define @t23 () (not @t22)) % 0.36/0.57 (define @t24 () (not @t2)) % 0.36/0.57 (define @t25 () (not @t11)) % 0.36/0.57 (define @t26 () (not (forall @t16 (or (and @t13 (or @t25 (and @t9 (or (not @t6) (not @t4))))) @t24)))) % 0.36/0.57 (define @t27 () (forall @t21 @t26)) % 0.36/0.57 (define @t28 () (not @t19)) % 0.36/0.57 (define @t29 () (forall @t16 (not @t15))) % 0.36/0.57 (define @t30 () (not @t29)) % 0.36/0.57 (define @t31 () (@quantifiers_skolemize @t27 0)) % 0.36/0.57 (define @t32 () (@quantifiers_skolemize @t27 1)) % 0.36/0.57 (define @t33 () (tptp.r @t32)) % 0.36/0.57 (define @t34 () (not @t33)) % 0.36/0.57 (define @t35 () (tptp.r @t31)) % 0.36/0.57 (define @t36 () (not @t35)) % 0.36/0.57 (define @t37 () (or @t36 @t34)) % 0.36/0.57 (define @t38 () (forall @t16 (or (and @t13 (or @t25 (and @t9 @t37))) @t24))) % 0.36/0.57 (define @t39 () (not @t27)) % 0.36/0.57 (define @t40 () (not (not @t38))) % 0.36/0.57 (define @t41 () (@list true)) % 0.36/0.57 (define @t42 () (tptp.f @t31)) % 0.36/0.57 (define @t43 () (tptp.q @t42)) % 0.36/0.57 (define @t44 () (not @t43)) % 0.36/0.57 (define @t45 () (and @t35 @t37)) % 0.36/0.57 (define @t46 () (tptp.p @t42)) % 0.36/0.57 (define @t47 () (not @t46)) % 0.36/0.57 (define @t48 () (or @t47 @t45)) % 0.36/0.57 (define @t49 () (and @t46 @t48)) % 0.36/0.57 (define @t50 () (or @t49 @t44)) % 0.36/0.57 (define @t51 () (@list false false)) % 0.36/0.57 (define @t52 () (not @t49)) % 0.36/0.57 (define @t53 () (@list false)) % 0.36/0.57 (define @t54 () (@list @t49)) % 0.36/0.57 (define @t55 () (not @t45)) % 0.36/0.57 (define @t56 () (@list @t45)) % 0.36/0.57 (define @t57 () (and @t33 @t37)) % 0.36/0.57 (define @t58 () (not @t57)) % 0.36/0.57 (define @t59 () (or @t47 @t57)) % 0.36/0.57 (define @t60 () (not @t59)) % 0.36/0.57 (define @t61 () (and (tptp.p (tptp.f @t32)) @t59)) % 0.36/0.57 (define @t62 () (not @t61)) % 0.36/0.57 (define @t63 () (or @t61 @t44)) % 0.36/0.57 (assume @p1 @t23) % 0.36/0.57 (assume @p2 true) % 0.36/0.57 (step @p3 :rule quant-miniscope-or :args ((= (forall @t21 (or @t28 @t26)) (or @t28 @t27)))) % 0.36/0.57 (step @p4 :rule bool-impl-elim :args (@t19 @t26)) % 0.36/0.57 (step @p5 :rule cong :premises (@p4) :args ((forall @t21 (=> @t19 @t26)))) % 0.36/0.57 (step @p6 :rule trans :premises (@p5 @p3)) % 0.36/0.57 (step @p7 :rule refl :args (@t24)) % 0.36/0.57 (step @p8 :rule bool-and-de-morgan :args (@t6 @t4 true)) % 0.36/0.57 (step @p9 :rule refl :args (@t9)) % 0.36/0.57 (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((and @t9 (not @t7)))) % 0.36/0.57 (step @p11 :rule bool-implies-de-morgan :args (@t9 @t7)) % 0.36/0.57 (step @p12 :rule trans :premises (@p11 @p10)) % 0.36/0.57 (step @p13 :rule refl :args (@t25)) % 0.36/0.57 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or @t25 (not @t10)))) % 0.36/0.57 (step @p15 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.36/0.57 (step @p16 :rule trans :premises (@p15 @p14)) % 0.36/0.57 (step @p17 :rule refl :args (@t13)) % 0.36/0.57 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((and @t13 (not @t12)))) % 0.36/0.57 (step @p19 :rule bool-implies-de-morgan :args (@t13 @t12)) % 0.36/0.57 (step @p20 :rule trans :premises (@p19 @p18)) % 0.36/0.57 (step @p21 :rule nary_cong :premises (@p20 @p7) :args ((or (not @t14) @t24))) % 0.36/0.57 (step @p22 :rule bool-and-de-morgan :args (@t14 @t2 true)) % 0.36/0.57 (step @p23 :rule trans :premises (@p22 @p21)) % 0.36/0.57 (step @p24 :rule cong :premises (@p23) :args (@t29)) % 0.36/0.57 (step @p25 :rule cong :premises (@p24) :args (@t30)) % 0.36/0.57 (step @p26 :rule exists-elim :args ((= @t17 @t30))) % 0.36/0.57 (step @p27 :rule trans :premises (@p26 @p25)) % 0.36/0.57 (step @p28 :rule refl :args (@t19)) % 0.36/0.57 (step @p29 :rule cong :premises (@p28 @p27) :args (@t20)) % 0.36/0.57 (step @p30 :rule cong :premises (@p29) :args (@t22)) % 0.36/0.57 (step @p31 :rule trans :premises (@p30 @p6)) % 0.36/0.57 (step @p32 :rule cong :premises (@p31) :args (@t23)) % 0.36/0.57 (step @p33 :rule eq_resolve :premises (@p1 @p32)) % 0.36/0.57 (step @p34 :rule not_or_elim :premises (@p33) :args (0)) % 0.36/0.57 (step @p35 :rule not_not_elim :premises (@p34)) % 0.36/0.57 (step @p36 :rule instantiate :premises (@p35) :args ((@list @t31))) % 0.36/0.57 (step @p37 :rule not_or_elim :premises (@p33) :args (1)) % 0.36/0.57 (step @p38 :rule refl :args (@t38)) % 0.36/0.57 (step @p39 :rule bool-double-not-elim :args (@t27)) % 0.36/0.57 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or (not @t39) @t38))) % 0.36/0.57 (step @p41 :rule bool-double-not-elim :args (@t38)) % 0.36/0.57 (step @p42 :rule refl :args (@t39)) % 0.36/0.57 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t39 @t40))) % 0.36/0.57 (assume-push @p87 @t39) % 0.36/0.57 (step @p45 :rule skolemize :premises (@p37)) % 0.36/0.57 (step-pop @p88 :rule scope :premises (@p45)) % 0.36/0.57 (step @p46 :rule process_scope :premises (@p88) :args (@t40)) % 0.36/0.57 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 0.36/0.57 (step @p49 :rule implies_elim :premises (@p48)) % 0.36/0.57 (step @p50 :rule eq_resolve :premises (@p49 @p40)) % 0.36/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p37) :args (@t38 @t41 (@list @t27))) % 0.36/0.57 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t42 @t32))) % 0.36/0.57 (step @p53 :rule instantiate :premises (@p51) :args ((@list @t42 @t31))) % 0.36/0.57 (step @p54 :rule cnf_or_pos :args (@t50)) % 0.36/0.57 (step @p55 :rule reordering :premises (@p54) :args ((or @t44 @t49 (not @t50)))) % 0.36/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p36 @p53) :args (@t49 @t51 (@list @t43 @t50))) % 0.36/0.57 (step @p57 :rule cnf_and_pos :args (@t49 1)) % 0.36/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t48 @t52))) % 0.36/0.57 (step @p59 :rule chain_m_resolution :premises (@p58 @p56) :args (@t48 @t53 @t54)) % 0.36/0.57 (step @p60 :rule cnf_and_pos :args (@t49 0)) % 0.36/0.57 (step @p61 :rule reordering :premises (@p60) :args ((or @t46 @t52))) % 0.36/0.57 (step @p62 :rule chain_m_resolution :premises (@p61 @p56) :args (@t46 @t53 @t54)) % 0.36/0.57 (step @p63 :rule cnf_or_pos :args (@t48)) % 0.36/0.57 (step @p64 :rule reordering :premises (@p63) :args ((or @t45 @t47 (not @t48)))) % 0.36/0.57 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p59) :args (@t45 @t51 (@list @t46 @t48))) % 0.36/0.57 (step @p66 :rule cnf_and_pos :args (@t45 1)) % 0.36/0.57 (step @p67 :rule reordering :premises (@p66) :args ((or @t37 @t55))) % 0.36/0.57 (step @p68 :rule chain_m_resolution :premises (@p67 @p65) :args (@t37 @t53 @t56)) % 0.36/0.57 (step @p69 :rule cnf_and_pos :args (@t45 0)) % 0.36/0.57 (step @p70 :rule reordering :premises (@p69) :args ((or @t35 @t55))) % 0.36/0.57 (step @p71 :rule chain_m_resolution :premises (@p70 @p65) :args (@t35 @t53 @t56)) % 0.36/0.57 (step @p72 :rule cnf_or_pos :args (@t37)) % 0.36/0.57 (step @p73 :rule reordering :premises (@p72) :args ((or @t36 @t34 (not @t37)))) % 0.36/0.57 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p68) :args (@t34 @t51 (@list @t35 @t37))) % 0.36/0.57 (step @p75 :rule cnf_and_pos :args (@t57 0)) % 0.36/0.57 (step @p76 :rule reordering :premises (@p75) :args ((or @t33 @t58))) % 0.36/0.57 (step @p77 :rule chain_m_resolution :premises (@p76 @p74) :args (@t58 @t41 (@list @t33))) % 0.36/0.57 (step @p78 :rule cnf_or_pos :args (@t59)) % 0.36/0.57 (step @p79 :rule reordering :premises (@p78) :args ((or @t47 @t57 @t60))) % 0.36/0.57 (step @p80 :rule chain_m_resolution :premises (@p79 @p62 @p77) :args (@t60 (@list false true) (@list @t46 @t57))) % 0.36/0.57 (step @p81 :rule cnf_and_pos :args (@t61 1)) % 0.36/0.57 (step @p82 :rule reordering :premises (@p81) :args ((or @t59 @t62))) % 0.36/0.57 (step @p83 :rule chain_m_resolution :premises (@p82 @p80) :args (@t62 @t41 (@list @t59))) % 0.36/0.57 (step @p84 :rule cnf_or_pos :args (@t63)) % 0.36/0.57 (step @p85 :rule reordering :premises (@p84) :args ((or @t44 @t61 (not @t63)))) % 0.36/0.57 (step @p86 false :rule chain_m_resolution :premises (@p85 @p83 @p52 @p36) :args (false (@list true false false) (@list @t61 @t63 @t43))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------