%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN057+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 : n018.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 0.31s 0.57s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN057+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 % 0.16/0.35 % Computer : n018.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 23:19:20 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.57 % SZS status Theorem % 0.31/0.57 % SZS output start Proof % 0.31/0.57 ( % 0.31/0.57 (declare-sort $$unsorted 0) % 0.31/0.57 (declare-const tptp.big_j (-> $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.big_i (-> $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.big_h (-> $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.big_f (-> $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.big_g (-> $$unsorted Bool)) % 0.31/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.31/0.57 (define @t2 () (tptp.big_g @t1)) % 0.31/0.57 (define @t3 () (not @t2)) % 0.31/0.57 (define @t4 () (tptp.big_f @t1)) % 0.31/0.57 (define @t5 () (and @t4 @t3)) % 0.31/0.57 (define @t6 () (@list @t1)) % 0.31/0.57 (define @t7 () (exists @t6 @t5)) % 0.31/0.57 (define @t8 () (tptp.big_h @t1)) % 0.31/0.57 (define @t9 () (forall @t6 (=> @t4 @t8))) % 0.31/0.57 (define @t10 () (tptp.big_i @t1)) % 0.31/0.57 (define @t11 () (tptp.big_j @t1)) % 0.31/0.57 (define @t12 () (and @t11 @t10)) % 0.31/0.57 (define @t13 () (forall @t6 (=> @t12 @t4))) % 0.31/0.57 (define @t14 () (@var "X1" $$unsorted)) % 0.31/0.57 (define @t15 () (not (tptp.big_h @t14))) % 0.31/0.57 (define @t16 () (tptp.big_i @t14)) % 0.31/0.57 (define @t17 () (@list @t14)) % 0.31/0.57 (define @t18 () (forall @t17 (=> @t16 @t15))) % 0.31/0.57 (define @t19 () (and @t8 @t3)) % 0.31/0.57 (define @t20 () (exists @t6 @t19)) % 0.31/0.57 (define @t21 () (=> @t20 @t18)) % 0.31/0.57 (define @t22 () (not @t10)) % 0.31/0.57 (define @t23 () (forall @t6 (=> @t11 @t22))) % 0.31/0.57 (define @t24 () (not @t23)) % 0.31/0.57 (define @t25 () (not @t11)) % 0.31/0.57 (define @t26 () (or @t25 @t22)) % 0.31/0.57 (define @t27 () (@quantifiers_skolemize (forall @t6 @t26) 0)) % 0.31/0.57 (define @t28 () (@list @t27)) % 0.31/0.57 (define @t29 () (tptp.big_i @t27)) % 0.31/0.57 (define @t30 () (not @t29)) % 0.31/0.57 (define @t31 () (tptp.big_j @t27)) % 0.31/0.57 (define @t32 () (not @t31)) % 0.31/0.57 (define @t33 () (or @t32 @t30)) % 0.31/0.57 (define @t34 () (@list true)) % 0.31/0.57 (define @t35 () (@list @t33)) % 0.31/0.57 (define @t36 () (tptp.big_f @t27)) % 0.31/0.57 (define @t37 () (or @t32 @t30 @t36)) % 0.31/0.57 (define @t38 () (tptp.big_h @t27)) % 0.31/0.57 (define @t39 () (not @t36)) % 0.31/0.57 (define @t40 () (or @t39 @t38)) % 0.31/0.57 (define @t41 () (@list false false)) % 0.31/0.57 (define @t42 () (not @t38)) % 0.31/0.57 (define @t43 () (or @t30 @t42)) % 0.31/0.57 (define @t44 () (not @t43)) % 0.31/0.57 (define @t45 () (forall @t17 (or (not @t16) @t15))) % 0.31/0.57 (define @t46 () (not @t8)) % 0.31/0.57 (define @t47 () (forall @t6 (or @t46 @t2))) % 0.31/0.57 (define @t48 () (not @t3)) % 0.31/0.57 (define @t49 () (forall @t6 (not @t19))) % 0.31/0.57 (define @t50 () (not @t49)) % 0.31/0.57 (define @t51 () (not @t4)) % 0.31/0.57 (define @t52 () (@quantifiers_skolemize (forall @t6 (or @t51 @t2)) 0)) % 0.31/0.57 (define @t53 () (@list @t52)) % 0.31/0.57 (define @t54 () (forall @t6 (not @t5))) % 0.31/0.57 (define @t55 () (not @t54)) % 0.31/0.57 (define @t56 () (tptp.big_f @t52)) % 0.31/0.57 (define @t57 () (tptp.big_g @t52)) % 0.31/0.57 (define @t58 () (not @t56)) % 0.31/0.57 (define @t59 () (or @t58 @t57)) % 0.31/0.57 (define @t60 () (@list @t59)) % 0.31/0.57 (define @t61 () (tptp.big_h @t52)) % 0.31/0.57 (define @t62 () (or @t58 @t61)) % 0.31/0.57 (define @t63 () (not @t61)) % 0.31/0.57 (define @t64 () (or @t63 @t57)) % 0.31/0.57 (define @t65 () (not @t64)) % 0.31/0.57 (define @t66 () (@list true false)) % 0.31/0.57 (assume @p1 @t7) % 0.31/0.57 (assume @p2 @t9) % 0.31/0.57 (assume @p3 @t13) % 0.31/0.57 (assume @p4 @t21) % 0.31/0.57 (assume @p5 @t24) % 0.31/0.57 (assume @p6 true) % 0.31/0.57 (step @p7 :rule bool-impl-elim :args (@t4 @t8)) % 0.31/0.57 (step @p8 :rule cong :premises (@p7) :args (@t9)) % 0.31/0.57 (step @p9 :rule eq_resolve :premises (@p2 @p8)) % 0.31/0.57 (step @p10 :rule instantiate :premises (@p9) :args (@t28)) % 0.31/0.57 (step @p11 :rule aci_norm :args ((= (or @t26 @t4) (or @t25 @t22 @t4)))) % 0.31/0.57 (step @p12 :rule refl :args (@t4)) % 0.31/0.57 (step @p13 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.31/0.57 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or (not @t12) @t4))) % 0.31/0.57 (step @p15 :rule trans :premises (@p14 @p11)) % 0.31/0.57 (step @p16 :rule bool-impl-elim :args (@t12 @t4)) % 0.31/0.57 (step @p17 :rule trans :premises (@p16 @p15)) % 0.31/0.57 (step @p18 :rule cong :premises (@p17) :args (@t13)) % 0.31/0.57 (step @p19 :rule eq_resolve :premises (@p3 @p18)) % 0.31/0.57 (step @p20 :rule instantiate :premises (@p19) :args (@t28)) % 0.31/0.57 (step @p21 :rule bool-impl-elim :args (@t11 @t22)) % 0.31/0.57 (step @p22 :rule cong :premises (@p21) :args (@t23)) % 0.31/0.57 (step @p23 :rule cong :premises (@p22) :args (@t24)) % 0.31/0.57 (step @p24 :rule eq_resolve :premises (@p5 @p23)) % 0.31/0.57 (step @p25 :rule skolemize :premises (@p24)) % 0.31/0.57 (step @p26 :rule bool-double-not-elim :args (@t29)) % 0.31/0.57 (step @p27 :rule refl :args (@t33)) % 0.31/0.57 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t33 (not @t30)))) % 0.31/0.57 (step @p29 :rule cnf_or_neg :args (@t33 1)) % 0.31/0.57 (step @p30 :rule eq_resolve :premises (@p29 @p28)) % 0.31/0.57 (step @p31 :rule reordering :premises (@p30) :args ((or @t29 @t33))) % 0.31/0.57 (step @p32 :rule chain_m_resolution :premises (@p31 @p25) :args (@t29 @t34 @t35)) % 0.31/0.57 (step @p33 :rule bool-double-not-elim :args (@t31)) % 0.31/0.57 (step @p34 :rule nary_cong :premises (@p27 @p33) :args ((or @t33 (not @t32)))) % 0.31/0.57 (step @p35 :rule cnf_or_neg :args (@t33 0)) % 0.31/0.57 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.31/0.57 (step @p37 :rule reordering :premises (@p36) :args ((or @t31 @t33))) % 0.31/0.57 (step @p38 :rule chain_m_resolution :premises (@p37 @p25) :args (@t31 @t34 @t35)) % 0.31/0.57 (step @p39 :rule cnf_or_pos :args (@t37)) % 0.31/0.57 (step @p40 :rule reordering :premises (@p39) :args ((or @t32 @t30 @t36 (not @t37)))) % 0.31/0.57 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p32 @p20) :args (@t36 (@list false false false) (@list @t31 @t29 @t37))) % 0.31/0.57 (step @p42 :rule cnf_or_pos :args (@t40)) % 0.31/0.57 (step @p43 :rule reordering :premises (@p42) :args ((or @t38 @t39 (not @t40)))) % 0.31/0.57 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p10) :args (@t38 @t41 (@list @t36 @t40))) % 0.31/0.57 (step @p45 :rule cnf_or_pos :args (@t43)) % 0.31/0.57 (step @p46 :rule reordering :premises (@p45) :args ((or @t30 @t42 @t44))) % 0.31/0.57 (step @p47 :rule chain_m_resolution :premises (@p46 @p32 @p44) :args (@t44 @t41 (@list @t29 @t38))) % 0.31/0.57 (assume-push @p105 @t45) % 0.31/0.57 (step @p49 :rule instantiate :premises (@p105) :args (@t28)) % 0.31/0.57 (step-pop @p106 :rule scope :premises (@p49)) % 0.31/0.57 (step @p50 :rule process_scope :premises (@p106) :args (@t43)) % 0.31/0.57 (step @p52 :rule implies_elim :premises (@p50)) % 0.31/0.57 (step @p53 :rule chain_m_resolution :premises (@p52 @p47) :args ((not @t45) @t34 (@list @t43))) % 0.31/0.57 (step @p54 :rule refl :args (@t45)) % 0.31/0.57 (step @p55 :rule bool-double-not-elim :args (@t47)) % 0.31/0.57 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or (not (not @t47)) @t45))) % 0.31/0.57 (step @p57 :rule bool-impl-elim :args (@t16 @t15)) % 0.31/0.57 (step @p58 :rule cong :premises (@p57) :args (@t18)) % 0.31/0.57 (step @p59 :rule bool-double-not-elim :args (@t2)) % 0.31/0.57 (step @p60 :rule refl :args (@t46)) % 0.31/0.57 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t46 @t48))) % 0.31/0.57 (step @p62 :rule bool-and-de-morgan :args (@t8 @t3 true)) % 0.31/0.57 (step @p63 :rule trans :premises (@p62 @p61)) % 0.31/0.57 (step @p64 :rule cong :premises (@p63) :args (@t49)) % 0.31/0.57 (step @p65 :rule cong :premises (@p64) :args (@t50)) % 0.31/0.57 (step @p66 :rule exists-elim :args ((= @t20 @t50))) % 0.31/0.57 (step @p67 :rule trans :premises (@p66 @p65)) % 0.31/0.57 (step @p68 :rule cong :premises (@p67 @p58) :args (@t21)) % 0.31/0.57 (step @p69 :rule eq_resolve :premises (@p4 @p68)) % 0.31/0.57 (step @p70 :rule implies_elim :premises (@p69)) % 0.31/0.57 (step @p71 :rule eq_resolve :premises (@p70 @p56)) % 0.31/0.57 (step @p72 :rule chain_m_resolution :premises (@p71 @p53) :args (@t47 @t34 (@list @t45))) % 0.31/0.57 (step @p73 :rule instantiate :premises (@p9) :args (@t53)) % 0.31/0.57 (step @p74 :rule refl :args (@t51)) % 0.31/0.57 (step @p75 :rule nary_cong :premises (@p74 @p59) :args ((or @t51 @t48))) % 0.31/0.57 (step @p76 :rule bool-and-de-morgan :args (@t4 @t3 true)) % 0.31/0.57 (step @p77 :rule trans :premises (@p76 @p75)) % 0.31/0.57 (step @p78 :rule cong :premises (@p77) :args (@t54)) % 0.31/0.57 (step @p79 :rule cong :premises (@p78) :args (@t55)) % 0.31/0.57 (step @p80 :rule exists-elim :args ((= @t7 @t55))) % 0.31/0.57 (step @p81 :rule trans :premises (@p80 @p79)) % 0.31/0.57 (step @p82 :rule eq_resolve :premises (@p1 @p81)) % 0.31/0.57 (step @p83 :rule skolemize :premises (@p82)) % 0.31/0.57 (step @p84 :rule bool-double-not-elim :args (@t56)) % 0.31/0.57 (step @p85 :rule refl :args (@t59)) % 0.31/0.57 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t59 (not @t58)))) % 0.31/0.57 (step @p87 :rule cnf_or_neg :args (@t59 0)) % 0.31/0.57 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.31/0.57 (step @p89 :rule reordering :premises (@p88) :args ((or @t56 @t59))) % 0.31/0.57 (step @p90 :rule chain_m_resolution :premises (@p89 @p83) :args (@t56 @t34 @t60)) % 0.31/0.57 (step @p91 :rule cnf_or_pos :args (@t62)) % 0.31/0.57 (step @p92 :rule reordering :premises (@p91) :args ((or @t58 @t61 (not @t62)))) % 0.31/0.57 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p73) :args (@t61 @t41 (@list @t56 @t62))) % 0.31/0.57 (step @p94 :rule cnf_or_neg :args (@t59 1)) % 0.31/0.57 (step @p95 :rule chain_m_resolution :premises (@p94 @p83) :args ((not @t57) @t34 @t60)) % 0.31/0.57 (step @p96 :rule cnf_or_pos :args (@t64)) % 0.31/0.57 (step @p97 :rule reordering :premises (@p96) :args ((or @t57 @t63 @t65))) % 0.31/0.57 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p93) :args (@t65 @t66 (@list @t57 @t61))) % 0.31/0.57 (assume-push @p107 @t47) % 0.31/0.57 (step @p100 :rule instantiate :premises (@p107) :args (@t53)) % 0.31/0.57 (step-pop @p108 :rule scope :premises (@p100)) % 0.31/0.57 (step @p101 :rule process_scope :premises (@p108) :args (@t64)) % 0.31/0.57 (step @p103 :rule implies_elim :premises (@p101)) % 0.31/0.57 (step @p104 false :rule chain_m_resolution :premises (@p103 @p98 @p72) :args (false @t66 (@list @t64 @t47))) % 0.31/0.57 ) % 0.31/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------