%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN055+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 : n010.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 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN055+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.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 23:19:10 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.big_g (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.big_r (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.big_q (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.big_f (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.big_p (-> $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t2 () (tptp.big_p @t1)) % 0.37/0.57 (define @t3 () (@list @t1)) % 0.37/0.57 (define @t4 () (exists @t3 @t2)) % 0.37/0.57 (define @t5 () (tptp.big_g @t1)) % 0.37/0.57 (define @t6 () (and (not @t5) (tptp.big_r @t1))) % 0.37/0.57 (define @t7 () (tptp.big_f @t1)) % 0.37/0.57 (define @t8 () (forall @t3 (=> @t7 @t6))) % 0.37/0.57 (define @t9 () (and @t5 @t7)) % 0.37/0.57 (define @t10 () (forall @t3 (=> @t2 @t9))) % 0.37/0.57 (define @t11 () (@var "Z" $$unsorted)) % 0.37/0.57 (define @t12 () (tptp.big_r @t11)) % 0.37/0.57 (define @t13 () (tptp.big_p @t11)) % 0.37/0.57 (define @t14 () (and @t13 @t12)) % 0.37/0.57 (define @t15 () (@list @t11)) % 0.37/0.57 (define @t16 () (exists @t15 @t14)) % 0.37/0.57 (define @t17 () (tptp.big_q @t1)) % 0.37/0.57 (define @t18 () (forall @t3 (=> @t2 @t17))) % 0.37/0.57 (define @t19 () (or @t18 @t16)) % 0.37/0.57 (define @t20 () (and @t17 @t2)) % 0.37/0.57 (define @t21 () (exists @t3 @t20)) % 0.37/0.57 (define @t22 () (not @t21)) % 0.37/0.57 (define @t23 () (forall @t15 (or (not @t13) (not @t12)))) % 0.37/0.57 (define @t24 () (@quantifiers_skolemize @t23 0)) % 0.37/0.57 (define @t25 () (@list @t24)) % 0.37/0.57 (define @t26 () (tptp.big_f @t24)) % 0.37/0.57 (define @t27 () (tptp.big_g @t24)) % 0.37/0.57 (define @t28 () (and @t27 @t26)) % 0.37/0.57 (define @t29 () (not @t28)) % 0.37/0.57 (define @t30 () (tptp.big_r @t24)) % 0.37/0.57 (define @t31 () (not @t27)) % 0.37/0.57 (define @t32 () (and @t31 @t30)) % 0.37/0.57 (define @t33 () (not @t26)) % 0.37/0.57 (define @t34 () (or @t33 @t32)) % 0.37/0.57 (define @t35 () (tptp.big_p @t24)) % 0.37/0.57 (define @t36 () (not @t35)) % 0.37/0.57 (define @t37 () (or @t36 @t28)) % 0.37/0.57 (define @t38 () (@list true false)) % 0.37/0.57 (define @t39 () (or @t36 (not @t30))) % 0.37/0.57 (define @t40 () (@list true)) % 0.37/0.57 (define @t41 () (not @t39)) % 0.37/0.57 (define @t42 () (not @t23)) % 0.37/0.57 (define @t43 () (@list false)) % 0.37/0.57 (define @t44 () (forall @t15 (not @t14))) % 0.37/0.57 (define @t45 () (not @t44)) % 0.37/0.57 (define @t46 () (not @t2)) % 0.37/0.57 (define @t47 () (forall @t3 (or @t46 @t17))) % 0.37/0.57 (define @t48 () (forall @t3 (not @t20))) % 0.37/0.57 (define @t49 () (not @t48)) % 0.37/0.57 (define @t50 () (forall @t3 @t46)) % 0.37/0.57 (define @t51 () (@quantifiers_skolemize @t50 0)) % 0.37/0.57 (define @t52 () (@list @t51)) % 0.37/0.57 (define @t53 () (not @t50)) % 0.37/0.57 (define @t54 () (tptp.big_p @t51)) % 0.37/0.57 (define @t55 () (not @t54)) % 0.37/0.57 (define @t56 () (not @t55)) % 0.37/0.57 (define @t57 () (tptp.big_q @t51)) % 0.37/0.57 (define @t58 () (not @t57)) % 0.37/0.57 (define @t59 () (or @t58 @t55)) % 0.37/0.57 (define @t60 () (or @t55 @t57)) % 0.37/0.57 (define @t61 () (not @t60)) % 0.37/0.57 (assume @p1 @t4) % 0.37/0.57 (assume @p2 @t8) % 0.37/0.57 (assume @p3 @t10) % 0.37/0.57 (assume @p4 @t19) % 0.37/0.57 (assume @p5 @t22) % 0.37/0.57 (assume @p6 true) % 0.37/0.57 (step @p7 :rule bool-impl-elim :args (@t2 @t9)) % 0.37/0.57 (step @p8 :rule cong :premises (@p7) :args (@t10)) % 0.37/0.57 (step @p9 :rule eq_resolve :premises (@p3 @p8)) % 0.37/0.57 (step @p10 :rule instantiate :premises (@p9) :args (@t25)) % 0.37/0.57 (step @p11 :rule cnf_and_pos :args (@t28 0)) % 0.37/0.57 (step @p12 :rule reordering :premises (@p11) :args ((or @t27 @t29))) % 0.37/0.57 (step @p13 :rule cnf_and_pos :args (@t28 1)) % 0.37/0.57 (step @p14 :rule reordering :premises (@p13) :args ((or @t26 @t29))) % 0.37/0.57 (step @p15 :rule cnf_and_pos :args (@t32 0)) % 0.37/0.57 (step @p16 :rule reordering :premises (@p15) :args ((or @t31 (not @t32)))) % 0.37/0.57 (step @p17 :rule bool-impl-elim :args (@t7 @t6)) % 0.37/0.57 (step @p18 :rule cong :premises (@p17) :args (@t8)) % 0.37/0.57 (step @p19 :rule eq_resolve :premises (@p2 @p18)) % 0.37/0.57 (step @p20 :rule instantiate :premises (@p19) :args (@t25)) % 0.37/0.57 (step @p21 :rule cnf_or_pos :args (@t34)) % 0.37/0.57 (step @p22 :rule reordering :premises (@p21) :args ((or @t33 @t32 (not @t34)))) % 0.37/0.57 (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p16 @p14 @p12) :args (@t29 (@list false true false false) (@list @t34 @t32 @t26 @t27))) % 0.37/0.57 (step @p24 :rule cnf_or_pos :args (@t37)) % 0.37/0.57 (step @p25 :rule reordering :premises (@p24) :args ((or @t36 @t28 (not @t37)))) % 0.37/0.57 (step @p26 :rule chain_m_resolution :premises (@p25 @p23 @p10) :args (@t36 @t38 (@list @t28 @t37))) % 0.37/0.57 (step @p27 :rule bool-double-not-elim :args (@t35)) % 0.37/0.57 (step @p28 :rule refl :args (@t39)) % 0.37/0.57 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t39 (not @t36)))) % 0.37/0.57 (step @p30 :rule cnf_or_neg :args (@t39 0)) % 0.37/0.57 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 0.37/0.57 (step @p32 :rule reordering :premises (@p31) :args ((or @t35 @t39))) % 0.37/0.57 (step @p33 :rule chain_m_resolution :premises (@p32 @p26) :args (@t39 @t40 (@list @t35))) % 0.37/0.57 (step @p34 :rule refl :args (@t41)) % 0.37/0.57 (step @p35 :rule bool-double-not-elim :args (@t23)) % 0.37/0.57 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or (not @t42) @t41))) % 0.37/0.57 (assume-push @p92 @t42) % 0.37/0.57 (step @p38 :rule skolemize :premises (@p92)) % 0.37/0.57 (step-pop @p93 :rule scope :premises (@p38)) % 0.37/0.57 (step @p39 :rule process_scope :premises (@p93) :args (@t41)) % 0.37/0.57 (step @p41 :rule implies_elim :premises (@p39)) % 0.37/0.57 (step @p42 :rule eq_resolve :premises (@p41 @p36)) % 0.37/0.57 (step @p43 :rule chain_m_resolution :premises (@p42 @p33) :args (@t23 @t43 (@list @t39))) % 0.37/0.57 (step @p44 :rule bool-and-de-morgan :args (@t13 @t12 true)) % 0.37/0.57 (step @p45 :rule cong :premises (@p44) :args (@t44)) % 0.37/0.57 (step @p46 :rule cong :premises (@p45) :args (@t45)) % 0.37/0.57 (step @p47 :rule exists-elim :args ((= @t16 @t45))) % 0.37/0.57 (step @p48 :rule trans :premises (@p47 @p46)) % 0.37/0.57 (step @p49 :rule bool-impl-elim :args (@t2 @t17)) % 0.37/0.57 (step @p50 :rule cong :premises (@p49) :args (@t18)) % 0.37/0.57 (step @p51 :rule nary_cong :premises (@p50 @p48) :args (@t19)) % 0.37/0.57 (step @p52 :rule eq_resolve :premises (@p4 @p51)) % 0.37/0.57 (step @p53 :rule chain_m_resolution :premises (@p52 @p43) :args (@t47 @t43 (@list @t23))) % 0.37/0.57 (step @p54 :rule bool-double-not-elim :args ((forall @t3 (or (not @t17) @t46)))) % 0.37/0.57 (step @p55 :rule bool-and-de-morgan :args (@t17 @t2 true)) % 0.37/0.57 (step @p56 :rule cong :premises (@p55) :args (@t48)) % 0.37/0.57 (step @p57 :rule cong :premises (@p56) :args (@t49)) % 0.37/0.57 (step @p58 :rule exists-elim :args ((= @t21 @t49))) % 0.37/0.57 (step @p59 :rule trans :premises (@p58 @p57)) % 0.37/0.57 (step @p60 :rule cong :premises (@p59) :args (@t22)) % 0.37/0.57 (step @p61 :rule trans :premises (@p60 @p54)) % 0.37/0.57 (step @p62 :rule eq_resolve :premises (@p5 @p61)) % 0.37/0.57 (step @p63 :rule instantiate :premises (@p62) :args (@t52)) % 0.37/0.57 (step @p64 :rule exists-elim :args ((= @t4 @t53))) % 0.37/0.57 (step @p65 :rule eq_resolve :premises (@p1 @p64)) % 0.37/0.57 (step @p66 :rule refl :args (@t54)) % 0.37/0.57 (step @p67 :rule bool-double-not-elim :args (@t50)) % 0.37/0.57 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or (not @t53) @t54))) % 0.37/0.57 (step @p69 :rule bool-double-not-elim :args (@t54)) % 0.37/0.57 (step @p70 :rule refl :args (@t53)) % 0.37/0.57 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t53 @t56))) % 0.37/0.57 (assume-push @p94 @t53) % 0.37/0.57 (step @p73 :rule skolemize :premises (@p65)) % 0.37/0.57 (step-pop @p95 :rule scope :premises (@p73)) % 0.37/0.57 (step @p74 :rule process_scope :premises (@p95) :args (@t56)) % 0.37/0.57 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 0.37/0.57 (step @p77 :rule implies_elim :premises (@p76)) % 0.37/0.57 (step @p78 :rule eq_resolve :premises (@p77 @p68)) % 0.37/0.57 (step @p79 :rule chain_m_resolution :premises (@p78 @p65) :args (@t54 @t40 (@list @t50))) % 0.37/0.57 (step @p80 :rule cnf_or_pos :args (@t59)) % 0.37/0.57 (step @p81 :rule reordering :premises (@p80) :args ((or @t55 @t58 (not @t59)))) % 0.37/0.57 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p63) :args (@t58 (@list false false) (@list @t54 @t59))) % 0.37/0.57 (step @p83 :rule cnf_or_pos :args (@t60)) % 0.37/0.57 (step @p84 :rule reordering :premises (@p83) :args ((or @t55 @t57 @t61))) % 0.37/0.57 (step @p85 :rule chain_m_resolution :premises (@p84 @p79 @p82) :args (@t61 (@list false true) (@list @t54 @t57))) % 0.37/0.57 (assume-push @p96 @t47) % 0.37/0.57 (step @p87 :rule instantiate :premises (@p96) :args (@t52)) % 0.37/0.57 (step-pop @p97 :rule scope :premises (@p87)) % 0.37/0.57 (step @p88 :rule process_scope :premises (@p97) :args (@t60)) % 0.37/0.57 (step @p90 :rule implies_elim :premises (@p88)) % 0.37/0.57 (step @p91 false :rule chain_m_resolution :premises (@p90 @p85 @p53) :args (false @t38 (@list @t60 @t47))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------