%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN049+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 : n027.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 09:07:53 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYN049+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n027.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 23:19:06 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.big_q (-> $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t2 () (tptp.big_q @t1)) % 0.37/0.56 (define @t3 () (tptp.big_p @t1)) % 0.37/0.56 (define @t4 () (=> @t3 @t2)) % 0.37/0.56 (define @t5 () (@var "Z" $$unsorted)) % 0.37/0.56 (define @t6 () (tptp.big_q @t5)) % 0.37/0.56 (define @t7 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t8 () (tptp.big_p @t7)) % 0.37/0.56 (define @t9 () (=> @t8 @t6)) % 0.37/0.56 (define @t10 () (@list @t7 @t5)) % 0.37/0.56 (define @t11 () (forall @t10 (=> @t9 @t4))) % 0.37/0.56 (define @t12 () (@list @t1)) % 0.37/0.56 (define @t13 () (exists @t12 @t11)) % 0.37/0.56 (define @t14 () (not @t13)) % 0.37/0.56 (define @t15 () (@var "BOUND_VARIABLE_7443" $$unsorted)) % 0.37/0.56 (define @t16 () (not (tptp.big_q @t15))) % 0.37/0.56 (define @t17 () (forall (@list @t15) @t16)) % 0.37/0.56 (define @t18 () (@var "BOUND_VARIABLE_7434" $$unsorted)) % 0.37/0.56 (define @t19 () (tptp.big_p @t18)) % 0.37/0.56 (define @t20 () (forall (@list @t18) @t19)) % 0.37/0.56 (define @t21 () (or (not @t20) (not @t17))) % 0.37/0.56 (define @t22 () (@var "BOUND_VARIABLE_7472" $$unsorted)) % 0.37/0.56 (define @t23 () (forall (@list @t22) (not (tptp.big_q @t22)))) % 0.37/0.56 (define @t24 () (@var "BOUND_VARIABLE_7467" $$unsorted)) % 0.37/0.56 (define @t25 () (forall (@list @t24) (tptp.big_p @t24))) % 0.37/0.56 (define @t26 () (forall @t12 @t21)) % 0.37/0.56 (define @t27 () (not @t2)) % 0.37/0.56 (define @t28 () (forall @t12 @t27)) % 0.37/0.56 (define @t29 () (@list @t1)) % 0.37/0.56 (define @t30 () (@list @t22)) % 0.37/0.56 (define @t31 () (forall @t12 @t3)) % 0.37/0.56 (define @t32 () (@list @t24)) % 0.37/0.56 (define @t33 () (and @t31 @t28 @t26)) % 0.37/0.56 (define @t34 () (and @t20 @t17)) % 0.37/0.56 (define @t35 () (not @t34)) % 0.37/0.56 (define @t36 () (not @t3)) % 0.37/0.56 (define @t37 () (not @t36)) % 0.37/0.56 (define @t38 () (and @t37 @t27 @t35)) % 0.37/0.56 (define @t39 () (or @t36 @t2 @t34)) % 0.37/0.56 (define @t40 () (forall @t12 (not @t39))) % 0.37/0.56 (define @t41 () (not @t40)) % 0.37/0.56 (define @t42 () (@var "BOUND_VARIABLE_7441" $$unsorted)) % 0.37/0.56 (define @t43 () (forall (@list @t42 @t15) @t16)) % 0.37/0.56 (define @t44 () (@var "BOUND_VARIABLE_7436" $$unsorted)) % 0.37/0.56 (define @t45 () (forall (@list @t18 @t44) @t19)) % 0.37/0.56 (define @t46 () (not @t6)) % 0.37/0.56 (define @t47 () (forall @t10 @t46)) % 0.37/0.56 (define @t48 () (@list @t7 @t5)) % 0.37/0.56 (define @t49 () (forall @t10 @t8)) % 0.37/0.56 (define @t50 () (and @t49 @t47)) % 0.37/0.56 (define @t51 () (and @t8 @t46)) % 0.37/0.56 (define @t52 () (forall @t10 @t51)) % 0.37/0.56 (define @t53 () (or @t36 @t2 @t52)) % 0.37/0.56 (define @t54 () (or @t36 @t2 @t51)) % 0.37/0.56 (define @t55 () (or @t51 @t36 @t2)) % 0.37/0.56 (define @t56 () (@list false)) % 0.37/0.56 (assume @p1 @t14) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule bool-double-not-elim :args ((and @t25 @t23 @t21))) % 0.37/0.56 (step @p4 :rule quant-unused-vars :args ((= @t26 @t21))) % 0.37/0.56 (step @p5 :rule alpha_equiv :args (@t28 @t29 @t30)) % 0.37/0.56 (step @p6 :rule alpha_equiv :args (@t31 @t29 @t32)) % 0.37/0.56 (step @p7 :rule nary_cong :premises (@p6 @p5 @p4) :args (@t33)) % 0.37/0.56 (step @p8 :rule quant-miniscope-and :args ((= (forall @t12 (and @t3 @t27 @t21)) @t33))) % 0.37/0.56 (step @p9 :rule trans :premises (@p8 @p7)) % 0.37/0.56 (step @p10 :rule bool-and-de-morgan :args (@t20 @t17 true)) % 0.37/0.56 (step @p11 :rule refl :args (@t27)) % 0.37/0.56 (step @p12 :rule refl :args (@t3)) % 0.37/0.56 (step @p13 :rule nary_cong :premises (@p12 @p11 @p10) :args ((and @t3 @t27 @t35))) % 0.37/0.56 (step @p14 :rule refl :args (@t35)) % 0.37/0.56 (step @p15 :rule bool-double-not-elim :args (@t3)) % 0.37/0.56 (step @p16 :rule nary_cong :premises (@p15 @p11 @p14) :args (@t38)) % 0.37/0.56 (step @p17 :rule aci_norm :args ((= (and @t37 (and @t27 @t35)) @t38))) % 0.37/0.56 (step @p18 :rule trans :premises (@p17 @p16)) % 0.37/0.56 (step @p19 :rule bool-or-de-morgan :args (@t2 @t34 false)) % 0.37/0.56 (step @p20 :rule refl :args (@t37)) % 0.37/0.56 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((and @t37 (not (or @t2 @t34))))) % 0.37/0.56 (step @p22 :rule bool-or-de-morgan :args (@t36 @t2 (or @t34))) % 0.37/0.56 (step @p23 :rule trans :premises (@p22 @p21)) % 0.37/0.56 (step @p24 :rule trans :premises (@p23 @p18)) % 0.37/0.56 (step @p25 :rule trans :premises (@p24 @p13)) % 0.37/0.56 (step @p26 :rule cong :premises (@p25) :args (@t40)) % 0.37/0.56 (step @p27 :rule trans :premises (@p26 @p9)) % 0.37/0.56 (step @p28 :rule cong :premises (@p27) :args (@t41)) % 0.37/0.56 (step @p29 :rule exists-elim :args ((= (exists @t12 @t39) @t41))) % 0.37/0.56 (step @p30 :rule trans :premises (@p29 @p28)) % 0.37/0.56 (step @p31 :rule quant-unused-vars :args ((= @t43 @t17))) % 0.37/0.56 (step @p32 :rule quant-unused-vars :args ((= @t45 @t20))) % 0.37/0.57 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((and @t45 @t43))) % 0.37/0.57 (step @p34 :rule alpha_equiv :args (@t47 @t48 (@list @t42 @t15))) % 0.37/0.57 (step @p35 :rule alpha_equiv :args (@t49 @t48 (@list @t18 @t44))) % 0.37/0.57 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t50)) % 0.37/0.57 (step @p37 :rule quant-miniscope-and :args ((= @t52 @t50))) % 0.37/0.57 (step @p38 :rule trans :premises (@p37 @p36)) % 0.37/0.57 (step @p39 :rule trans :premises (@p38 @p33)) % 0.37/0.57 (step @p40 :rule refl :args (@t2)) % 0.37/0.57 (step @p41 :rule refl :args (@t36)) % 0.37/0.57 (step @p42 :rule nary_cong :premises (@p41 @p40 @p39) :args (@t53)) % 0.37/0.57 (step @p43 :rule quant-miniscope-or :args ((= (forall @t10 @t54) @t53))) % 0.37/0.57 (step @p44 :rule aci_norm :args ((= @t55 @t54))) % 0.37/0.57 (step @p45 :rule cong :premises (@p44) :args ((forall @t10 @t55))) % 0.37/0.57 (step @p46 :rule trans :premises (@p45 @p43)) % 0.37/0.57 (step @p47 :rule trans :premises (@p46 @p42)) % 0.37/0.57 (step @p48 :rule aci_norm :args ((= (or @t51 (or @t36 @t2)) @t55))) % 0.37/0.57 (step @p49 :rule bool-impl-elim :args (@t3 @t2)) % 0.37/0.57 (step @p50 :rule bool-implies-de-morgan :args (@t8 @t6)) % 0.37/0.57 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or (not @t9) @t4))) % 0.37/0.57 (step @p52 :rule trans :premises (@p51 @p48)) % 0.37/0.57 (step @p53 :rule bool-impl-elim :args (@t9 @t4)) % 0.37/0.57 (step @p54 :rule trans :premises (@p53 @p52)) % 0.37/0.57 (step @p55 :rule cong :premises (@p54) :args (@t11)) % 0.37/0.57 (step @p56 :rule trans :premises (@p55 @p47)) % 0.37/0.57 (step @p57 :rule cong :premises (@p56) :args (@t13)) % 0.37/0.57 (step @p58 :rule trans :premises (@p57 @p30)) % 0.37/0.57 (step @p59 :rule cong :premises (@p58) :args (@t14)) % 0.37/0.57 (step @p60 :rule trans :premises (@p59 @p3)) % 0.37/0.57 (step @p61 :rule eq_resolve :premises (@p1 @p60)) % 0.37/0.57 (step @p62 :rule and_elim :premises (@p61) :args (0)) % 0.37/0.57 (step @p63 :rule alpha_equiv :args (@t25 @t32 (@list @t18))) % 0.37/0.57 (step @p64 :rule symm :premises (@p63)) % 0.37/0.57 (step @p65 :rule equiv_elim2 :premises (@p64)) % 0.37/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p62) :args (@t20 @t56 (@list @t25))) % 0.37/0.57 (step @p67 :rule and_elim :premises (@p61) :args (1)) % 0.37/0.57 (step @p68 :rule alpha_equiv :args (@t23 @t30 (@list @t15))) % 0.37/0.57 (step @p69 :rule symm :premises (@p68)) % 0.37/0.57 (step @p70 :rule equiv_elim2 :premises (@p69)) % 0.37/0.57 (step @p71 :rule chain_m_resolution :premises (@p70 @p67) :args (@t17 @t56 (@list @t23))) % 0.37/0.57 (step @p72 :rule and_elim :premises (@p61) :args (2)) % 0.37/0.57 (step @p73 false :rule chain_m_resolution :premises (@p72 @p71 @p66) :args (false (@list false false) (@list @t17 @t20))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------