%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN921+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 09:10:04 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN921+1 : TPTP v9.2.1. Released v3.1.0. % 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 : n004.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 23:48:23 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.p (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.q (-> $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t2 () (tptp.q @t1)) % 0.38/0.57 (define @t3 () (tptp.p @t1)) % 0.38/0.57 (define @t4 () (=> @t3 @t2)) % 0.38/0.57 (define @t5 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t6 () (tptp.p @t5)) % 0.38/0.57 (define @t7 () (=> @t6 @t2)) % 0.38/0.57 (define @t8 () (@list @t5)) % 0.38/0.57 (define @t9 () (forall @t8 (=> @t7 @t4))) % 0.38/0.57 (define @t10 () (@list @t1)) % 0.38/0.57 (define @t11 () (exists @t10 @t9)) % 0.38/0.57 (define @t12 () (not @t11)) % 0.38/0.57 (define @t13 () (@var "BOUND_VARIABLE_7461" $$unsorted)) % 0.38/0.57 (define @t14 () (tptp.q @t13)) % 0.38/0.57 (define @t15 () (@list @t13)) % 0.38/0.57 (define @t16 () (forall @t15 @t14)) % 0.38/0.57 (define @t17 () (@var "BOUND_VARIABLE_7432" $$unsorted)) % 0.38/0.57 (define @t18 () (forall (@list @t17) (tptp.p @t17))) % 0.38/0.57 (define @t19 () (not @t18)) % 0.38/0.57 (define @t20 () (or @t19 @t16)) % 0.38/0.57 (define @t21 () (@var "BOUND_VARIABLE_7455" $$unsorted)) % 0.38/0.57 (define @t22 () (forall (@list @t21) (not (tptp.q @t21)))) % 0.38/0.57 (define @t23 () (@var "BOUND_VARIABLE_7450" $$unsorted)) % 0.38/0.57 (define @t24 () (forall (@list @t23) (tptp.p @t23))) % 0.38/0.57 (define @t25 () (forall @t15 (or @t19 @t14))) % 0.38/0.57 (define @t26 () (or @t19 @t2)) % 0.38/0.57 (define @t27 () (forall @t10 @t26)) % 0.38/0.57 (define @t28 () (@list @t1)) % 0.38/0.57 (define @t29 () (not @t2)) % 0.38/0.57 (define @t30 () (forall @t10 @t29)) % 0.38/0.57 (define @t31 () (forall @t10 @t3)) % 0.38/0.57 (define @t32 () (@list @t23)) % 0.38/0.57 (define @t33 () (and @t31 @t30 @t27)) % 0.38/0.57 (define @t34 () (and @t18 @t29)) % 0.38/0.57 (define @t35 () (not @t34)) % 0.38/0.57 (define @t36 () (not @t3)) % 0.38/0.57 (define @t37 () (not @t36)) % 0.38/0.57 (define @t38 () (and @t37 @t29 @t35)) % 0.38/0.57 (define @t39 () (or @t36 @t2 @t34)) % 0.38/0.57 (define @t40 () (forall @t10 (not @t39))) % 0.38/0.57 (define @t41 () (not @t40)) % 0.38/0.57 (define @t42 () (forall @t8 @t29)) % 0.38/0.57 (define @t43 () (forall @t8 @t6)) % 0.38/0.57 (define @t44 () (@list @t17)) % 0.38/0.57 (define @t45 () (and @t43 @t42)) % 0.38/0.57 (define @t46 () (and @t6 @t29)) % 0.38/0.57 (define @t47 () (forall @t8 @t46)) % 0.38/0.57 (define @t48 () (or @t36 @t2 @t47)) % 0.38/0.57 (define @t49 () (or @t36 @t2 @t46)) % 0.38/0.57 (define @t50 () (or @t46 @t36 @t2)) % 0.38/0.57 (define @t51 () (@list false)) % 0.38/0.57 (define @t52 () (@const 0 $$unsorted)) % 0.38/0.57 (define @t53 () (@list @t52)) % 0.38/0.57 (define @t54 () (tptp.q @t52)) % 0.38/0.57 (assume @p1 @t12) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (step @p3 :rule bool-double-not-elim :args ((and @t24 @t22 @t20))) % 0.38/0.57 (step @p4 :rule quant-miniscope-or :args ((= @t25 @t20))) % 0.38/0.57 (step @p5 :rule refl :args (@t22)) % 0.38/0.57 (step @p6 :rule refl :args (@t24)) % 0.38/0.57 (step @p7 :rule nary_cong :premises (@p6 @p5 @p4) :args ((and @t24 @t22 @t25))) % 0.38/0.57 (step @p8 :rule alpha_equiv :args (@t27 @t28 (@list @t13))) % 0.38/0.57 (step @p9 :rule alpha_equiv :args (@t30 @t28 (@list @t21))) % 0.38/0.57 (step @p10 :rule alpha_equiv :args (@t31 @t28 @t32)) % 0.38/0.57 (step @p11 :rule nary_cong :premises (@p10 @p9 @p8) :args (@t33)) % 0.38/0.57 (step @p12 :rule quant-miniscope-and :args ((= (forall @t10 (and @t3 @t29 @t26)) @t33))) % 0.38/0.57 (step @p13 :rule trans :premises (@p12 @p11)) % 0.38/0.57 (step @p14 :rule trans :premises (@p13 @p7)) % 0.38/0.57 (step @p15 :rule bool-double-not-elim :args (@t2)) % 0.38/0.57 (step @p16 :rule refl :args (@t19)) % 0.38/0.57 (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or @t19 (not @t29)))) % 0.38/0.57 (step @p18 :rule bool-and-de-morgan :args (@t18 @t29 true)) % 0.38/0.57 (step @p19 :rule trans :premises (@p18 @p17)) % 0.38/0.57 (step @p20 :rule refl :args (@t29)) % 0.38/0.57 (step @p21 :rule refl :args (@t3)) % 0.38/0.57 (step @p22 :rule nary_cong :premises (@p21 @p20 @p19) :args ((and @t3 @t29 @t35))) % 0.38/0.57 (step @p23 :rule refl :args (@t35)) % 0.38/0.57 (step @p24 :rule bool-double-not-elim :args (@t3)) % 0.38/0.57 (step @p25 :rule nary_cong :premises (@p24 @p20 @p23) :args (@t38)) % 0.38/0.57 (step @p26 :rule aci_norm :args ((= (and @t37 (and @t29 @t35)) @t38))) % 0.38/0.57 (step @p27 :rule trans :premises (@p26 @p25)) % 0.38/0.57 (step @p28 :rule bool-or-de-morgan :args (@t2 @t34 false)) % 0.38/0.57 (step @p29 :rule refl :args (@t37)) % 0.38/0.57 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((and @t37 (not (or @t2 @t34))))) % 0.38/0.57 (step @p31 :rule bool-or-de-morgan :args (@t36 @t2 (or @t34))) % 0.38/0.57 (step @p32 :rule trans :premises (@p31 @p30)) % 0.38/0.57 (step @p33 :rule trans :premises (@p32 @p27)) % 0.38/0.57 (step @p34 :rule trans :premises (@p33 @p22)) % 0.38/0.57 (step @p35 :rule cong :premises (@p34) :args (@t40)) % 0.38/0.57 (step @p36 :rule trans :premises (@p35 @p14)) % 0.38/0.57 (step @p37 :rule cong :premises (@p36) :args (@t41)) % 0.38/0.57 (step @p38 :rule exists-elim :args ((= (exists @t10 @t39) @t41))) % 0.38/0.57 (step @p39 :rule trans :premises (@p38 @p37)) % 0.38/0.57 (step @p40 :rule quant-unused-vars :args ((= @t42 @t29))) % 0.38/0.57 (step @p41 :rule alpha_equiv :args (@t43 (@list @t5) @t44)) % 0.38/0.57 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t45)) % 0.38/0.57 (step @p43 :rule quant-miniscope-and :args ((= @t47 @t45))) % 0.38/0.57 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.57 (step @p45 :rule refl :args (@t2)) % 0.38/0.57 (step @p46 :rule refl :args (@t36)) % 0.38/0.57 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44) :args (@t48)) % 0.38/0.57 (step @p48 :rule quant-miniscope-or :args ((= (forall @t8 @t49) @t48))) % 0.38/0.57 (step @p49 :rule aci_norm :args ((= @t50 @t49))) % 0.38/0.57 (step @p50 :rule cong :premises (@p49) :args ((forall @t8 @t50))) % 0.38/0.57 (step @p51 :rule trans :premises (@p50 @p48)) % 0.38/0.57 (step @p52 :rule trans :premises (@p51 @p47)) % 0.38/0.57 (step @p53 :rule aci_norm :args ((= (or @t46 (or @t36 @t2)) @t50))) % 0.38/0.57 (step @p54 :rule bool-impl-elim :args (@t3 @t2)) % 0.38/0.57 (step @p55 :rule bool-implies-de-morgan :args (@t6 @t2)) % 0.38/0.57 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or (not @t7) @t4))) % 0.38/0.57 (step @p57 :rule trans :premises (@p56 @p53)) % 0.38/0.57 (step @p58 :rule bool-impl-elim :args (@t7 @t4)) % 0.38/0.57 (step @p59 :rule trans :premises (@p58 @p57)) % 0.38/0.57 (step @p60 :rule cong :premises (@p59) :args (@t9)) % 0.38/0.57 (step @p61 :rule trans :premises (@p60 @p52)) % 0.38/0.57 (step @p62 :rule cong :premises (@p61) :args (@t11)) % 0.38/0.57 (step @p63 :rule trans :premises (@p62 @p39)) % 0.38/0.57 (step @p64 :rule cong :premises (@p63) :args (@t12)) % 0.38/0.57 (step @p65 :rule trans :premises (@p64 @p3)) % 0.38/0.57 (step @p66 :rule eq_resolve :premises (@p1 @p65)) % 0.38/0.57 (step @p67 :rule and_elim :premises (@p66) :args (0)) % 0.38/0.57 (step @p68 :rule alpha_equiv :args (@t24 @t32 @t44)) % 0.38/0.57 (step @p69 :rule symm :premises (@p68)) % 0.38/0.57 (step @p70 :rule equiv_elim2 :premises (@p69)) % 0.38/0.57 (step @p71 :rule chain_m_resolution :premises (@p70 @p67) :args (@t18 @t51 (@list @t24))) % 0.38/0.57 (step @p72 :rule and_elim :premises (@p66) :args (2)) % 0.38/0.57 (step @p73 :rule chain_m_resolution :premises (@p72 @p71) :args (@t16 @t51 (@list @t18))) % 0.38/0.57 (step @p74 :rule and_elim :premises (@p66) :args (1)) % 0.38/0.57 (step @p75 :rule instantiate :premises (@p74) :args (@t53)) % 0.38/0.57 (assume-push @p82 @t16) % 0.38/0.57 (step @p77 :rule instantiate :premises (@p73) :args (@t53)) % 0.38/0.57 (step-pop @p83 :rule scope :premises (@p77)) % 0.38/0.57 (step @p78 :rule process_scope :premises (@p83) :args (@t54)) % 0.38/0.57 (step @p80 :rule implies_elim :premises (@p78)) % 0.38/0.57 (step @p81 false :rule chain_m_resolution :premises (@p80 @p75 @p73) :args (false (@list true false) (@list @t54 @t16))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------