%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN944+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN944+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n016.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:50:09 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.s (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.r (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.p (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.q (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t3 () (tptp.q @t2 @t1)) % 0.38/0.56 (define @t4 () (tptp.p @t2)) % 0.38/0.56 (define @t5 () (and @t4 @t3)) % 0.38/0.56 (define @t6 () (@list @t2 @t1)) % 0.38/0.56 (define @t7 () (exists @t6 @t5)) % 0.38/0.56 (define @t8 () (tptp.r @t2 @t1)) % 0.38/0.56 (define @t9 () (forall @t6 (=> @t8 @t3))) % 0.38/0.56 (define @t10 () (tptp.s @t2)) % 0.38/0.56 (define @t11 () (@list @t2)) % 0.38/0.56 (define @t12 () (forall @t11 (=> @t10 @t4))) % 0.38/0.56 (define @t13 () (@var "C" $$unsorted)) % 0.38/0.56 (define @t14 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t15 () (tptp.r @t14 @t13)) % 0.38/0.56 (define @t16 () (tptp.s @t14)) % 0.38/0.56 (define @t17 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t18 () (tptp.s @t17)) % 0.38/0.56 (define @t19 () (and @t18 @t16 @t15 @t12 @t9)) % 0.38/0.57 (define @t20 () (=> @t19 @t7)) % 0.38/0.57 (define @t21 () (@list @t17 @t14 @t13)) % 0.38/0.57 (define @t22 () (forall @t21 @t20)) % 0.38/0.57 (define @t23 () (not @t22)) % 0.38/0.57 (define @t24 () (not @t15)) % 0.38/0.57 (define @t25 () (not @t16)) % 0.38/0.57 (define @t26 () (or @t25 @t24)) % 0.38/0.57 (define @t27 () (forall (@list @t14 @t13) @t26)) % 0.38/0.57 (define @t28 () (not @t18)) % 0.38/0.57 (define @t29 () (forall @t6 (or (not @t4) (not @t3)))) % 0.38/0.57 (define @t30 () (not @t29)) % 0.38/0.57 (define @t31 () (forall @t6 (or (not @t8) @t3))) % 0.38/0.57 (define @t32 () (not @t31)) % 0.38/0.57 (define @t33 () (forall @t11 (or (not @t10) @t4))) % 0.38/0.57 (define @t34 () (not @t33)) % 0.38/0.57 (define @t35 () (or @t34 @t32 @t30 @t28 @t26)) % 0.38/0.57 (define @t36 () (or @t28 @t25 @t24 @t34 @t32 @t30)) % 0.38/0.57 (define @t37 () (or @t28 @t25 @t24 @t34 @t32)) % 0.38/0.57 (define @t38 () (and @t18 @t16 @t15 @t33 @t31)) % 0.38/0.57 (define @t39 () (forall @t6 (not @t5))) % 0.38/0.57 (define @t40 () (not @t39)) % 0.38/0.57 (define @t41 () (@quantifiers_skolemize @t27 1)) % 0.38/0.57 (define @t42 () (@quantifiers_skolemize @t27 0)) % 0.38/0.57 (define @t43 () (@list @t42 @t41)) % 0.38/0.57 (define @t44 () (tptp.r @t42 @t41)) % 0.38/0.57 (define @t45 () (not @t44)) % 0.38/0.57 (define @t46 () (tptp.s @t42)) % 0.38/0.57 (define @t47 () (not @t46)) % 0.38/0.57 (define @t48 () (or @t47 @t45)) % 0.38/0.57 (define @t49 () (@list true)) % 0.38/0.57 (define @t50 () (@list @t48)) % 0.38/0.57 (define @t51 () (tptp.q @t42 @t41)) % 0.38/0.57 (define @t52 () (or @t45 @t51)) % 0.38/0.57 (define @t53 () (@list false false)) % 0.38/0.57 (define @t54 () (tptp.p @t42)) % 0.38/0.57 (define @t55 () (or @t47 @t54)) % 0.38/0.57 (define @t56 () (not @t51)) % 0.38/0.57 (define @t57 () (not @t54)) % 0.38/0.57 (define @t58 () (or @t57 @t56)) % 0.38/0.57 (define @t59 () (not @t58)) % 0.38/0.57 (assume @p1 @t23) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (step @p3 :rule quant-miniscope-or :args ((= (forall @t21 @t35) (or @t34 @t32 @t30 (forall (@list @t17) @t28) @t27)))) % 0.38/0.57 (step @p4 :rule aci_norm :args ((= @t36 @t35))) % 0.38/0.57 (step @p5 :rule cong :premises (@p4) :args ((forall @t21 @t36))) % 0.38/0.57 (step @p6 :rule trans :premises (@p5 @p3)) % 0.38/0.57 (step @p7 :rule aci_norm :args ((= (or @t37 @t30) @t36))) % 0.38/0.57 (step @p8 :rule refl :args (@t30)) % 0.38/0.57 (step @p9 :rule aci_norm :args ((= (or @t28 (or @t25 (or @t24 (or @t34 @t32)))) @t37))) % 0.38/0.57 (step @p10 :rule bool-and-de-morgan :args (@t33 @t31 true)) % 0.38/0.57 (step @p11 :rule refl :args (@t24)) % 0.38/0.57 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t24 (not (and @t33 @t31))))) % 0.38/0.57 (step @p13 :rule bool-and-de-morgan :args (@t15 @t33 (and @t31))) % 0.38/0.57 (step @p14 :rule trans :premises (@p13 @p12)) % 0.38/0.57 (step @p15 :rule refl :args (@t25)) % 0.38/0.57 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or @t25 (not (and @t15 @t33 @t31))))) % 0.38/0.57 (step @p17 :rule bool-and-de-morgan :args (@t16 @t15 (and @t33 @t31))) % 0.38/0.57 (step @p18 :rule trans :premises (@p17 @p16)) % 0.38/0.57 (step @p19 :rule refl :args (@t28)) % 0.38/0.57 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t28 (not (and @t16 @t15 @t33 @t31))))) % 0.38/0.57 (step @p21 :rule bool-and-de-morgan :args (@t18 @t16 (and @t15 @t33 @t31))) % 0.38/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.38/0.57 (step @p23 :rule trans :premises (@p22 @p9)) % 0.38/0.57 (step @p24 :rule nary_cong :premises (@p23 @p8) :args ((or (not @t38) @t30))) % 0.38/0.57 (step @p25 :rule trans :premises (@p24 @p7)) % 0.38/0.57 (step @p26 :rule bool-impl-elim :args (@t38 @t30)) % 0.38/0.57 (step @p27 :rule trans :premises (@p26 @p25)) % 0.38/0.57 (step @p28 :rule cong :premises (@p27) :args ((forall @t21 (=> @t38 @t30)))) % 0.38/0.57 (step @p29 :rule trans :premises (@p28 @p6)) % 0.38/0.57 (step @p30 :rule bool-and-de-morgan :args (@t4 @t3 true)) % 0.38/0.57 (step @p31 :rule cong :premises (@p30) :args (@t39)) % 0.38/0.57 (step @p32 :rule cong :premises (@p31) :args (@t40)) % 0.38/0.57 (step @p33 :rule exists-elim :args ((= @t7 @t40))) % 0.38/0.57 (step @p34 :rule trans :premises (@p33 @p32)) % 0.38/0.57 (step @p35 :rule bool-impl-elim :args (@t8 @t3)) % 0.38/0.57 (step @p36 :rule cong :premises (@p35) :args (@t9)) % 0.38/0.57 (step @p37 :rule bool-impl-elim :args (@t10 @t4)) % 0.38/0.57 (step @p38 :rule cong :premises (@p37) :args (@t12)) % 0.38/0.57 (step @p39 :rule refl :args (@t15)) % 0.38/0.57 (step @p40 :rule refl :args (@t16)) % 0.38/0.57 (step @p41 :rule refl :args (@t18)) % 0.38/0.57 (step @p42 :rule nary_cong :premises (@p41 @p40 @p39 @p38 @p36) :args (@t19)) % 0.38/0.57 (step @p43 :rule cong :premises (@p42 @p34) :args (@t20)) % 0.38/0.57 (step @p44 :rule cong :premises (@p43) :args (@t22)) % 0.38/0.57 (step @p45 :rule trans :premises (@p44 @p29)) % 0.38/0.57 (step @p46 :rule cong :premises (@p45) :args (@t23)) % 0.38/0.57 (step @p47 :rule eq_resolve :premises (@p1 @p46)) % 0.38/0.57 (step @p48 :rule not_or_elim :premises (@p47) :args (2)) % 0.38/0.57 (step @p49 :rule not_not_elim :premises (@p48)) % 0.38/0.57 (step @p50 :rule not_or_elim :premises (@p47) :args (1)) % 0.38/0.57 (step @p51 :rule not_not_elim :premises (@p50)) % 0.38/0.57 (step @p52 :rule instantiate :premises (@p51) :args (@t43)) % 0.38/0.57 (step @p53 :rule not_or_elim :premises (@p47) :args (4)) % 0.38/0.57 (step @p54 :rule skolemize :premises (@p53)) % 0.38/0.57 (step @p55 :rule bool-double-not-elim :args (@t44)) % 0.38/0.57 (step @p56 :rule refl :args (@t48)) % 0.38/0.57 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t48 (not @t45)))) % 0.38/0.57 (step @p58 :rule cnf_or_neg :args (@t48 1)) % 0.38/0.57 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.38/0.57 (step @p60 :rule reordering :premises (@p59) :args ((or @t44 @t48))) % 0.38/0.57 (step @p61 :rule chain_m_resolution :premises (@p60 @p54) :args (@t44 @t49 @t50)) % 0.38/0.57 (step @p62 :rule cnf_or_pos :args (@t52)) % 0.38/0.57 (step @p63 :rule reordering :premises (@p62) :args ((or @t45 @t51 (not @t52)))) % 0.38/0.57 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p52) :args (@t51 @t53 (@list @t44 @t52))) % 0.38/0.57 (step @p65 :rule not_or_elim :premises (@p47) :args (0)) % 0.38/0.57 (step @p66 :rule not_not_elim :premises (@p65)) % 0.38/0.57 (step @p67 :rule instantiate :premises (@p66) :args ((@list @t42))) % 0.38/0.57 (step @p68 :rule bool-double-not-elim :args (@t46)) % 0.38/0.57 (step @p69 :rule nary_cong :premises (@p56 @p68) :args ((or @t48 (not @t47)))) % 0.38/0.57 (step @p70 :rule cnf_or_neg :args (@t48 0)) % 0.38/0.57 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.38/0.57 (step @p72 :rule reordering :premises (@p71) :args ((or @t46 @t48))) % 0.38/0.57 (step @p73 :rule chain_m_resolution :premises (@p72 @p54) :args (@t46 @t49 @t50)) % 0.38/0.57 (step @p74 :rule cnf_or_pos :args (@t55)) % 0.38/0.57 (step @p75 :rule reordering :premises (@p74) :args ((or @t47 @t54 (not @t55)))) % 0.38/0.57 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p67) :args (@t54 @t53 (@list @t46 @t55))) % 0.38/0.57 (step @p77 :rule cnf_or_pos :args (@t58)) % 0.38/0.57 (step @p78 :rule reordering :premises (@p77) :args ((or @t57 @t56 @t59))) % 0.38/0.57 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p64) :args (@t59 @t53 (@list @t54 @t51))) % 0.38/0.57 (assume-push @p86 @t29) % 0.38/0.57 (step @p81 :rule instantiate :premises (@p49) :args (@t43)) % 0.38/0.57 (step-pop @p87 :rule scope :premises (@p81)) % 0.38/0.57 (step @p82 :rule process_scope :premises (@p87) :args (@t58)) % 0.38/0.57 (step @p84 :rule implies_elim :premises (@p82)) % 0.38/0.57 (step @p85 false :rule chain_m_resolution :premises (@p84 @p79 @p49) :args (false (@list true false) (@list @t58 @t29))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------