%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN068+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 09:07:59 AM UTC 2026 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SYN068+1 : TPTP v9.2.1. Released v2.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.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 23:19:44 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.big_j (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.big_f (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.big_g (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.big_h (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (define @t1 () (@var "Y1" $$unsorted)) % 0.39/0.57 (define @t2 () (@var "X" $$unsorted)) % 0.39/0.57 (define @t3 () (tptp.big_h @t2 @t1)) % 0.39/0.57 (define @t4 () (not @t3)) % 0.39/0.57 (define @t5 () (tptp.big_g @t1)) % 0.39/0.57 (define @t6 () (and @t5 @t4)) % 0.39/0.57 (define @t7 () (@list @t1)) % 0.39/0.57 (define @t8 () (exists @t7 @t6)) % 0.39/0.57 (define @t9 () (@var "Y" $$unsorted)) % 0.39/0.57 (define @t10 () (tptp.big_h @t2 @t9)) % 0.39/0.57 (define @t11 () (tptp.big_g @t9)) % 0.39/0.57 (define @t12 () (and @t11 @t10)) % 0.39/0.57 (define @t13 () (@list @t9)) % 0.39/0.57 (define @t14 () (exists @t13 @t12)) % 0.39/0.57 (define @t15 () (and @t14 @t8)) % 0.39/0.57 (define @t16 () (tptp.big_f @t2)) % 0.39/0.57 (define @t17 () (=> @t16 @t15)) % 0.39/0.57 (define @t18 () (@list @t2)) % 0.39/0.57 (define @t19 () (forall @t18 @t17)) % 0.39/0.57 (define @t20 () (forall @t13 (=> @t11 @t10))) % 0.39/0.57 (define @t21 () (tptp.big_j @t2)) % 0.39/0.57 (define @t22 () (and @t21 @t20)) % 0.39/0.57 (define @t23 () (exists @t18 @t22)) % 0.39/0.57 (define @t24 () (not @t16)) % 0.39/0.57 (define @t25 () (and @t21 @t24)) % 0.39/0.57 (define @t26 () (exists @t18 @t25)) % 0.39/0.57 (define @t27 () (not @t26)) % 0.39/0.57 (define @t28 () (not @t21)) % 0.39/0.57 (define @t29 () (forall @t18 (not @t25))) % 0.39/0.57 (define @t30 () (not @t29)) % 0.39/0.57 (define @t31 () (not @t11)) % 0.39/0.57 (define @t32 () (forall @t13 (or @t31 @t10))) % 0.39/0.57 (define @t33 () (@quantifiers_skolemize (forall @t18 (or @t28 (not @t32))) 0)) % 0.39/0.57 (define @t34 () (@list @t33)) % 0.39/0.57 (define @t35 () (and @t21 @t32)) % 0.39/0.57 (define @t36 () (forall @t18 (not @t35))) % 0.39/0.57 (define @t37 () (not @t36)) % 0.39/0.57 (define @t38 () (tptp.big_j @t33)) % 0.39/0.57 (define @t39 () (tptp.big_h @t33 @t9)) % 0.39/0.57 (define @t40 () (forall @t13 (or @t31 @t39))) % 0.39/0.57 (define @t41 () (not @t40)) % 0.39/0.57 (define @t42 () (not @t38)) % 0.39/0.57 (define @t43 () (or @t42 @t41)) % 0.39/0.57 (define @t44 () (@list true)) % 0.39/0.57 (define @t45 () (@list @t43)) % 0.39/0.57 (define @t46 () (tptp.big_f @t33)) % 0.39/0.57 (define @t47 () (or @t42 @t46)) % 0.39/0.57 (define @t48 () (not @t5)) % 0.39/0.57 (define @t49 () (and (not (forall @t13 (or @t31 (not @t10)))) (not (forall @t7 (or @t48 @t3))))) % 0.39/0.57 (define @t50 () (forall @t7 (not @t6))) % 0.39/0.57 (define @t51 () (not @t50)) % 0.39/0.57 (define @t52 () (forall @t13 (not @t12))) % 0.39/0.57 (define @t53 () (not @t52)) % 0.39/0.57 (define @t54 () (forall @t7 (or @t48 (tptp.big_h @t33 @t1)))) % 0.39/0.57 (define @t55 () (@list false)) % 0.39/0.57 (define @t56 () (not @t54)) % 0.39/0.57 (define @t57 () (and (not (forall @t13 (or @t31 (not @t39)))) @t56)) % 0.39/0.57 (define @t58 () (not @t57)) % 0.39/0.57 (define @t59 () (not @t46)) % 0.39/0.57 (define @t60 () (or @t59 @t57)) % 0.39/0.57 (assume @p1 @t19) % 0.39/0.57 (assume @p2 @t23) % 0.39/0.57 (assume @p3 @t27) % 0.39/0.57 (assume @p4 true) % 0.39/0.57 (step @p5 :rule bool-double-not-elim :args ((forall @t18 (or @t28 @t16)))) % 0.39/0.57 (step @p6 :rule bool-double-not-elim :args (@t16)) % 0.39/0.57 (step @p7 :rule refl :args (@t28)) % 0.39/0.57 (step @p8 :rule nary_cong :premises (@p7 @p6) :args ((or @t28 (not @t24)))) % 0.39/0.57 (step @p9 :rule bool-and-de-morgan :args (@t21 @t24 true)) % 0.39/0.57 (step @p10 :rule trans :premises (@p9 @p8)) % 0.39/0.57 (step @p11 :rule cong :premises (@p10) :args (@t29)) % 0.39/0.57 (step @p12 :rule cong :premises (@p11) :args (@t30)) % 0.39/0.57 (step @p13 :rule exists-elim :args ((= @t26 @t30))) % 0.39/0.57 (step @p14 :rule trans :premises (@p13 @p12)) % 0.39/0.57 (step @p15 :rule cong :premises (@p14) :args (@t27)) % 0.39/0.57 (step @p16 :rule trans :premises (@p15 @p5)) % 0.39/0.57 (step @p17 :rule eq_resolve :premises (@p3 @p16)) % 0.39/0.57 (step @p18 :rule instantiate :premises (@p17) :args (@t34)) % 0.39/0.57 (step @p19 :rule bool-and-de-morgan :args (@t21 @t32 true)) % 0.39/0.57 (step @p20 :rule cong :premises (@p19) :args (@t36)) % 0.39/0.57 (step @p21 :rule cong :premises (@p20) :args (@t37)) % 0.39/0.57 (step @p22 :rule exists-elim :args ((= (exists @t18 @t35) @t37))) % 0.39/0.57 (step @p23 :rule trans :premises (@p22 @p21)) % 0.39/0.57 (step @p24 :rule bool-impl-elim :args (@t11 @t10)) % 0.39/0.57 (step @p25 :rule cong :premises (@p24) :args (@t20)) % 0.39/0.57 (step @p26 :rule refl :args (@t21)) % 0.39/0.57 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t22)) % 0.39/0.57 (step @p28 :rule cong :premises (@p27) :args (@t23)) % 0.39/0.57 (step @p29 :rule trans :premises (@p28 @p23)) % 0.39/0.57 (step @p30 :rule eq_resolve :premises (@p2 @p29)) % 0.39/0.57 (step @p31 :rule skolemize :premises (@p30)) % 0.39/0.57 (step @p32 :rule bool-double-not-elim :args (@t38)) % 0.39/0.57 (step @p33 :rule refl :args (@t43)) % 0.39/0.57 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t43 (not @t42)))) % 0.39/0.57 (step @p35 :rule cnf_or_neg :args (@t43 0)) % 0.39/0.57 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.39/0.57 (step @p37 :rule reordering :premises (@p36) :args ((or @t38 @t43))) % 0.39/0.57 (step @p38 :rule chain_m_resolution :premises (@p37 @p31) :args (@t38 @t44 @t45)) % 0.39/0.57 (step @p39 :rule cnf_or_pos :args (@t47)) % 0.39/0.57 (step @p40 :rule reordering :premises (@p39) :args ((or @t42 @t46 (not @t47)))) % 0.39/0.57 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p18) :args (@t46 (@list false false) (@list @t38 @t47))) % 0.39/0.57 (step @p42 :rule bool-impl-elim :args (@t16 @t49)) % 0.39/0.57 (step @p43 :rule cong :premises (@p42) :args ((forall @t18 (=> @t16 @t49)))) % 0.39/0.57 (step @p44 :rule bool-double-not-elim :args (@t3)) % 0.39/0.57 (step @p45 :rule refl :args (@t48)) % 0.39/0.57 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t48 (not @t4)))) % 0.39/0.57 (step @p47 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.39/0.57 (step @p48 :rule trans :premises (@p47 @p46)) % 0.39/0.57 (step @p49 :rule cong :premises (@p48) :args (@t50)) % 0.39/0.57 (step @p50 :rule cong :premises (@p49) :args (@t51)) % 0.39/0.57 (step @p51 :rule exists-elim :args ((= @t8 @t51))) % 0.39/0.57 (step @p52 :rule trans :premises (@p51 @p50)) % 0.39/0.57 (step @p53 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.39/0.57 (step @p54 :rule cong :premises (@p53) :args (@t52)) % 0.39/0.57 (step @p55 :rule cong :premises (@p54) :args (@t53)) % 0.39/0.57 (step @p56 :rule exists-elim :args ((= @t14 @t53))) % 0.39/0.57 (step @p57 :rule trans :premises (@p56 @p55)) % 0.39/0.57 (step @p58 :rule nary_cong :premises (@p57 @p52) :args (@t15)) % 0.39/0.57 (step @p59 :rule refl :args (@t16)) % 0.39/0.57 (step @p60 :rule cong :premises (@p59 @p58) :args (@t17)) % 0.39/0.57 (step @p61 :rule cong :premises (@p60) :args (@t19)) % 0.39/0.57 (step @p62 :rule trans :premises (@p61 @p43)) % 0.39/0.57 (step @p63 :rule eq_resolve :premises (@p1 @p62)) % 0.39/0.57 (step @p64 :rule instantiate :premises (@p63) :args (@t34)) % 0.39/0.57 (step @p65 :rule bool-double-not-elim :args (@t40)) % 0.39/0.57 (step @p66 :rule nary_cong :premises (@p33 @p65) :args ((or @t43 (not @t41)))) % 0.39/0.57 (step @p67 :rule cnf_or_neg :args (@t43 1)) % 0.39/0.57 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.39/0.57 (step @p69 :rule reordering :premises (@p68) :args ((or @t40 @t43))) % 0.39/0.57 (step @p70 :rule chain_m_resolution :premises (@p69 @p31) :args (@t40 @t44 @t45)) % 0.39/0.57 (step @p71 :rule alpha_equiv :args (@t40 (@list @t9) (@list @t1))) % 0.39/0.57 (step @p72 :rule equiv_elim1 :premises (@p71)) % 0.39/0.57 (step @p73 :rule chain_m_resolution :premises (@p72 @p70) :args (@t54 @t55 (@list @t40))) % 0.39/0.57 (step @p74 :rule cnf_and_pos :args (@t57 1)) % 0.39/0.57 (step @p75 :rule reordering :premises (@p74) :args ((or @t56 @t58))) % 0.39/0.57 (step @p76 :rule chain_m_resolution :premises (@p75 @p73) :args (@t58 @t55 (@list @t54))) % 0.39/0.57 (step @p77 :rule cnf_or_pos :args (@t60)) % 0.39/0.57 (step @p78 :rule reordering :premises (@p77) :args ((or @t59 @t57 (not @t60)))) % 0.39/0.57 (step @p79 false :rule chain_m_resolution :premises (@p78 @p76 @p64 @p41) :args (false (@list true false false) (@list @t57 @t60 @t46))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------