%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN054+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 : n011.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 09:07:55 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN054+1 : TPTP v9.2.1. Released v2.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.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 23:18:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.big_r (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.big_s (-> $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.big_q (-> $$unsorted Bool)) % 0.30/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.30/0.55 (define @t2 () (tptp.big_q @t1)) % 0.30/0.55 (define @t3 () (tptp.big_s @t1)) % 0.30/0.55 (define @t4 () (and @t3 @t2)) % 0.30/0.55 (define @t5 () (@list @t1)) % 0.30/0.55 (define @t6 () (exists @t5 @t4)) % 0.30/0.55 (define @t7 () (not @t6)) % 0.30/0.55 (define @t8 () (tptp.big_r @t1)) % 0.30/0.55 (define @t9 () (or @t2 @t8)) % 0.30/0.55 (define @t10 () (tptp.big_p @t1)) % 0.30/0.55 (define @t11 () (forall @t5 (=> @t10 @t9))) % 0.30/0.55 (define @t12 () (@var "Y" $$unsorted)) % 0.30/0.55 (define @t13 () (tptp.big_q @t12)) % 0.30/0.55 (define @t14 () (@list @t12)) % 0.30/0.55 (define @t15 () (exists @t14 @t13)) % 0.30/0.55 (define @t16 () (exists @t5 @t10)) % 0.30/0.55 (define @t17 () (not @t16)) % 0.30/0.55 (define @t18 () (=> @t17 @t15)) % 0.30/0.55 (define @t19 () (forall @t5 (=> @t9 @t3))) % 0.30/0.55 (define @t20 () (and @t10 @t8)) % 0.30/0.55 (define @t21 () (exists @t5 @t20)) % 0.30/0.55 (define @t22 () (not @t21)) % 0.30/0.55 (define @t23 () (forall @t14 (not @t13))) % 0.30/0.55 (define @t24 () (@quantifiers_skolemize @t23 0)) % 0.30/0.55 (define @t25 () (tptp.big_q @t24)) % 0.30/0.55 (define @t26 () (not @t25)) % 0.30/0.55 (define @t27 () (and @t26 (not (tptp.big_r @t24)))) % 0.30/0.55 (define @t28 () (forall @t5 (not @t4))) % 0.30/0.55 (define @t29 () (not @t28)) % 0.30/0.55 (define @t30 () (@list @t24)) % 0.30/0.55 (define @t31 () (tptp.big_s @t24)) % 0.30/0.55 (define @t32 () (not @t31)) % 0.30/0.55 (define @t33 () (or @t32 @t26)) % 0.30/0.55 (define @t34 () (or @t27 @t31)) % 0.30/0.55 (define @t35 () (not @t23)) % 0.30/0.55 (define @t36 () (not @t26)) % 0.30/0.55 (define @t37 () (@list true)) % 0.30/0.55 (define @t38 () (not @t10)) % 0.30/0.55 (define @t39 () (forall @t5 @t38)) % 0.30/0.55 (define @t40 () (@quantifiers_skolemize @t39 0)) % 0.30/0.55 (define @t41 () (@list @t40)) % 0.30/0.55 (define @t42 () (tptp.big_q @t40)) % 0.30/0.55 (define @t43 () (not @t42)) % 0.30/0.55 (define @t44 () (@list false)) % 0.30/0.55 (define @t45 () (@list @t23)) % 0.30/0.55 (define @t46 () (not @t39)) % 0.30/0.55 (define @t47 () (tptp.big_p @t40)) % 0.30/0.55 (define @t48 () (not @t47)) % 0.30/0.55 (define @t49 () (not @t48)) % 0.30/0.55 (define @t50 () (forall @t5 (not @t20))) % 0.30/0.55 (define @t51 () (not @t50)) % 0.30/0.55 (define @t52 () (tptp.big_r @t40)) % 0.30/0.55 (define @t53 () (not @t52)) % 0.30/0.55 (define @t54 () (or @t48 @t53)) % 0.30/0.55 (define @t55 () (or @t48 @t42 @t52)) % 0.30/0.55 (assume @p1 @t7) % 0.30/0.55 (assume @p2 @t11) % 0.30/0.55 (assume @p3 @t18) % 0.30/0.55 (assume @p4 @t19) % 0.30/0.55 (assume @p5 @t22) % 0.30/0.55 (assume @p6 true) % 0.30/0.55 (step @p7 :rule cnf_and_pos :args (@t27 0)) % 0.30/0.55 (step @p8 :rule reordering :premises (@p7) :args ((or @t26 (not @t27)))) % 0.30/0.55 (step @p9 :rule bool-double-not-elim :args ((forall @t5 (or (not @t3) (not @t2))))) % 0.30/0.55 (step @p10 :rule bool-and-de-morgan :args (@t3 @t2 true)) % 0.30/0.55 (step @p11 :rule cong :premises (@p10) :args (@t28)) % 0.30/0.55 (step @p12 :rule cong :premises (@p11) :args (@t29)) % 0.30/0.55 (step @p13 :rule exists-elim :args ((= @t6 @t29))) % 0.30/0.55 (step @p14 :rule trans :premises (@p13 @p12)) % 0.30/0.55 (step @p15 :rule cong :premises (@p14) :args (@t7)) % 0.30/0.55 (step @p16 :rule trans :premises (@p15 @p9)) % 0.30/0.55 (step @p17 :rule eq_resolve :premises (@p1 @p16)) % 0.30/0.55 (step @p18 :rule instantiate :premises (@p17) :args (@t30)) % 0.30/0.55 (step @p19 :rule cnf_or_pos :args (@t33)) % 0.30/0.55 (step @p20 :rule reordering :premises (@p19) :args ((or @t26 @t32 (not @t33)))) % 0.30/0.55 (step @p21 :rule refl :args (@t3)) % 0.30/0.55 (step @p22 :rule bool-or-de-morgan :args (@t2 @t8 false)) % 0.30/0.55 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or (not @t9) @t3))) % 0.30/0.55 (step @p24 :rule bool-impl-elim :args (@t9 @t3)) % 0.30/0.55 (step @p25 :rule trans :premises (@p24 @p23)) % 0.30/0.55 (step @p26 :rule cong :premises (@p25) :args (@t19)) % 0.30/0.55 (step @p27 :rule eq_resolve :premises (@p4 @p26)) % 0.30/0.55 (step @p28 :rule instantiate :premises (@p27) :args (@t30)) % 0.30/0.55 (step @p29 :rule cnf_or_pos :args (@t34)) % 0.30/0.55 (step @p30 :rule reordering :premises (@p29) :args ((or @t31 @t27 (not @t34)))) % 0.30/0.55 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p20 @p18 @p8) :args (@t26 (@list false true false true) (@list @t34 @t31 @t33 @t27))) % 0.30/0.55 (step @p32 :rule refl :args (@t25)) % 0.30/0.55 (step @p33 :rule bool-double-not-elim :args (@t23)) % 0.30/0.55 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or (not @t35) @t25))) % 0.30/0.55 (step @p35 :rule bool-double-not-elim :args (@t25)) % 0.30/0.55 (step @p36 :rule refl :args (@t35)) % 0.30/0.55 (step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t35 @t36))) % 0.30/0.55 (assume-push @p96 @t35) % 0.30/0.55 (step @p39 :rule skolemize :premises (@p96)) % 0.30/0.55 (step-pop @p97 :rule scope :premises (@p39)) % 0.30/0.55 (step @p40 :rule process_scope :premises (@p97) :args (@t36)) % 0.30/0.55 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 0.30/0.55 (step @p43 :rule implies_elim :premises (@p42)) % 0.30/0.55 (step @p44 :rule eq_resolve :premises (@p43 @p34)) % 0.30/0.55 (step @p45 :rule chain_m_resolution :premises (@p44 @p31) :args (@t23 @t37 (@list @t25))) % 0.30/0.55 (assume-push @p98 @t23) % 0.30/0.55 (step @p47 :rule instantiate :premises (@p98) :args (@t41)) % 0.30/0.55 (step-pop @p99 :rule scope :premises (@p47)) % 0.30/0.55 (step @p48 :rule process_scope :premises (@p99) :args (@t43)) % 0.30/0.55 (step @p50 :rule implies_elim :premises (@p48)) % 0.30/0.55 (step @p51 :rule chain_m_resolution :premises (@p50 @p45) :args (@t43 @t44 @t45)) % 0.30/0.55 (step @p52 :rule aci_norm :args ((= (or @t38 @t9) (or @t38 @t2 @t8)))) % 0.30/0.55 (step @p53 :rule bool-impl-elim :args (@t10 @t9)) % 0.30/0.55 (step @p54 :rule trans :premises (@p53 @p52)) % 0.30/0.55 (step @p55 :rule cong :premises (@p54) :args (@t11)) % 0.30/0.55 (step @p56 :rule eq_resolve :premises (@p2 @p55)) % 0.30/0.55 (step @p57 :rule instantiate :premises (@p56) :args (@t41)) % 0.30/0.55 (step @p58 :rule exists-elim :args ((= @t15 @t35))) % 0.30/0.55 (step @p59 :rule bool-double-not-elim :args (@t39)) % 0.30/0.55 (step @p60 :rule exists-elim :args ((= @t16 @t46))) % 0.30/0.55 (step @p61 :rule cong :premises (@p60) :args (@t17)) % 0.30/0.55 (step @p62 :rule trans :premises (@p61 @p59)) % 0.30/0.55 (step @p63 :rule cong :premises (@p62 @p58) :args (@t18)) % 0.30/0.55 (step @p64 :rule eq_resolve :premises (@p3 @p63)) % 0.30/0.55 (step @p65 :rule implies_elim :premises (@p64)) % 0.30/0.55 (step @p66 :rule chain_m_resolution :premises (@p65 @p45) :args (@t46 @t44 @t45)) % 0.30/0.55 (step @p67 :rule refl :args (@t47)) % 0.30/0.55 (step @p68 :rule nary_cong :premises (@p59 @p67) :args ((or (not @t46) @t47))) % 0.30/0.55 (step @p69 :rule bool-double-not-elim :args (@t47)) % 0.30/0.55 (step @p70 :rule refl :args (@t46)) % 0.30/0.55 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t46 @t49))) % 0.30/0.55 (assume-push @p100 @t46) % 0.30/0.55 (step @p73 :rule skolemize :premises (@p100)) % 0.30/0.55 (step-pop @p101 :rule scope :premises (@p73)) % 0.30/0.55 (step @p74 :rule process_scope :premises (@p101) :args (@t49)) % 0.30/0.55 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 0.30/0.55 (step @p77 :rule implies_elim :premises (@p76)) % 0.30/0.55 (step @p78 :rule eq_resolve :premises (@p77 @p68)) % 0.30/0.55 (step @p79 :rule chain_m_resolution :premises (@p78 @p66) :args (@t47 @t37 (@list @t39))) % 0.30/0.55 (step @p80 :rule bool-double-not-elim :args ((forall @t5 (or @t38 (not @t8))))) % 0.30/0.55 (step @p81 :rule bool-and-de-morgan :args (@t10 @t8 true)) % 0.30/0.55 (step @p82 :rule cong :premises (@p81) :args (@t50)) % 0.30/0.55 (step @p83 :rule cong :premises (@p82) :args (@t51)) % 0.30/0.55 (step @p84 :rule exists-elim :args ((= @t21 @t51))) % 0.30/0.55 (step @p85 :rule trans :premises (@p84 @p83)) % 0.30/0.55 (step @p86 :rule cong :premises (@p85) :args (@t22)) % 0.30/0.55 (step @p87 :rule trans :premises (@p86 @p80)) % 0.30/0.55 (step @p88 :rule eq_resolve :premises (@p5 @p87)) % 0.30/0.55 (step @p89 :rule instantiate :premises (@p88) :args (@t41)) % 0.30/0.55 (step @p90 :rule cnf_or_pos :args (@t54)) % 0.30/0.55 (step @p91 :rule reordering :premises (@p90) :args ((or @t48 @t53 (not @t54)))) % 0.30/0.55 (step @p92 :rule chain_m_resolution :premises (@p91 @p79 @p89) :args (@t53 (@list false false) (@list @t47 @t54))) % 0.30/0.55 (step @p93 :rule cnf_or_pos :args (@t55)) % 0.30/0.55 (step @p94 :rule reordering :premises (@p93) :args ((or @t48 @t42 @t52 (not @t55)))) % 0.30/0.55 (step @p95 false :rule chain_m_resolution :premises (@p94 @p92 @p79 @p57 @p51) :args (false (@list true false false true) (@list @t52 @t47 @t55 @t42))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------