%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN920+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 0.14s 0.36s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYN920+1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 18:48:15 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.14/0.36 % SZS status Theorem % 0.14/0.36 % SZS output start Proof % 0.14/0.36 ( % 0.14/0.36 (declare-sort $$unsorted 0) % 0.14/0.36 (declare-const tptp.f (-> $$unsorted Bool)) % 0.14/0.36 (declare-const tptp.g (-> $$unsorted Bool)) % 0.14/0.36 (declare-const tptp.h (-> $$unsorted Bool)) % 0.14/0.36 (define @t1 () (@var "V" $$unsorted)) % 0.14/0.36 (define @t2 () (tptp.h @t1)) % 0.14/0.36 (define @t3 () (not @t2)) % 0.14/0.36 (define @t4 () (tptp.g @t1)) % 0.14/0.36 (define @t5 () (tptp.f @t1)) % 0.14/0.36 (define @t6 () (and @t5 @t4 @t3)) % 0.14/0.36 (define @t7 () (@list @t1)) % 0.14/0.36 (define @t8 () (exists @t7 @t6)) % 0.14/0.36 (define @t9 () (@var "R" $$unsorted)) % 0.14/0.36 (define @t10 () (tptp.g @t9)) % 0.14/0.36 (define @t11 () (tptp.h @t9)) % 0.14/0.36 (define @t12 () (tptp.f @t9)) % 0.14/0.36 (define @t13 () (and @t12 @t11)) % 0.14/0.36 (define @t14 () (forall (@list @t9) (=> @t13 @t10))) % 0.14/0.36 (define @t15 () (=> @t14 @t8)) % 0.14/0.36 (define @t16 () (@var "Z" $$unsorted)) % 0.14/0.36 (define @t17 () (tptp.h @t16)) % 0.14/0.36 (define @t18 () (tptp.f @t16)) % 0.14/0.36 (define @t19 () (@list @t16)) % 0.14/0.36 (define @t20 () (forall @t19 (=> @t18 @t17))) % 0.14/0.36 (define @t21 () (@var "W" $$unsorted)) % 0.14/0.36 (define @t22 () (tptp.g @t21)) % 0.14/0.36 (define @t23 () (tptp.f @t21)) % 0.14/0.36 (define @t24 () (@list @t21)) % 0.14/0.36 (define @t25 () (forall @t24 (=> @t23 @t22))) % 0.14/0.36 (define @t26 () (or @t25 @t20)) % 0.14/0.36 (define @t27 () (@var "X" $$unsorted)) % 0.14/0.36 (define @t28 () (tptp.g @t27)) % 0.14/0.36 (define @t29 () (not @t28)) % 0.14/0.36 (define @t30 () (tptp.f @t27)) % 0.14/0.36 (define @t31 () (and @t30 @t29)) % 0.14/0.36 (define @t32 () (@list @t27)) % 0.14/0.36 (define @t33 () (exists @t32 @t31)) % 0.14/0.36 (define @t34 () (tptp.h @t27)) % 0.14/0.36 (define @t35 () (and @t30 @t28)) % 0.14/0.36 (define @t36 () (forall @t32 (=> @t35 @t34))) % 0.14/0.36 (define @t37 () (=> @t36 @t33)) % 0.14/0.36 (define @t38 () (and @t37 @t26)) % 0.14/0.36 (define @t39 () (=> @t38 @t15)) % 0.14/0.36 (define @t40 () (not @t39)) % 0.14/0.36 (define @t41 () (not @t4)) % 0.14/0.36 (define @t42 () (not @t5)) % 0.14/0.36 (define @t43 () (not @t3)) % 0.14/0.36 (define @t44 () (or @t42 @t41 @t43)) % 0.14/0.36 (define @t45 () (forall @t7 (not @t6))) % 0.14/0.36 (define @t46 () (not @t45)) % 0.14/0.36 (define @t47 () (not @t11)) % 0.14/0.36 (define @t48 () (not @t12)) % 0.14/0.36 (define @t49 () (not @t30)) % 0.14/0.36 (define @t50 () (forall @t32 (not @t31))) % 0.14/0.36 (define @t51 () (not @t50)) % 0.14/0.36 (define @t52 () (or @t49 @t29 @t34)) % 0.14/0.36 (define @t53 () (forall @t32 @t52)) % 0.14/0.36 (define @t54 () (@list @t27)) % 0.14/0.36 (define @t55 () (@list false)) % 0.14/0.36 (define @t56 () (forall @t32 (or @t49 @t28))) % 0.14/0.36 (define @t57 () (not @t56)) % 0.14/0.36 (define @t58 () (@quantifiers_skolemize @t56 0)) % 0.14/0.36 (define @t59 () (tptp.f @t58)) % 0.14/0.36 (define @t60 () (tptp.g @t58)) % 0.14/0.36 (define @t61 () (not @t59)) % 0.14/0.36 (define @t62 () (or @t61 @t60)) % 0.14/0.36 (define @t63 () (@list true)) % 0.14/0.36 (define @t64 () (@list @t62)) % 0.14/0.36 (define @t65 () (forall @t24 (or (not @t23) @t22))) % 0.14/0.36 (define @t66 () (@list @t58)) % 0.14/0.36 (define @t67 () (tptp.h @t58)) % 0.14/0.36 (define @t68 () (not @t67)) % 0.14/0.36 (define @t69 () (or @t61 @t68 @t60)) % 0.14/0.36 (define @t70 () (or @t61 @t67)) % 0.14/0.36 (assume @p1 @t40) % 0.14/0.36 (assume @p2 true) % 0.14/0.36 (step @p3 :rule bool-double-not-elim :args (@t2)) % 0.14/0.36 (step @p4 :rule refl :args (@t41)) % 0.14/0.36 (step @p5 :rule refl :args (@t42)) % 0.14/0.36 (step @p6 :rule nary_cong :premises (@p5 @p4 @p3) :args (@t44)) % 0.14/0.36 (step @p7 :rule aci_norm :args ((= (or @t42 (or @t41 @t43)) @t44))) % 0.14/0.36 (step @p8 :rule trans :premises (@p7 @p6)) % 0.14/0.36 (step @p9 :rule bool-and-de-morgan :args (@t4 @t3 true)) % 0.14/0.36 (step @p10 :rule nary_cong :premises (@p5 @p9) :args ((or @t42 (not (and @t4 @t3))))) % 0.14/0.36 (step @p11 :rule bool-and-de-morgan :args (@t5 @t4 (and @t3))) % 0.14/0.36 (step @p12 :rule trans :premises (@p11 @p10)) % 0.14/0.36 (step @p13 :rule trans :premises (@p12 @p8)) % 0.14/0.36 (step @p14 :rule cong :premises (@p13) :args (@t45)) % 0.14/0.36 (step @p15 :rule cong :premises (@p14) :args (@t46)) % 0.14/0.36 (step @p16 :rule exists-elim :args ((= @t8 @t46))) % 0.14/0.36 (step @p17 :rule trans :premises (@p16 @p15)) % 0.14/0.36 (step @p18 :rule aci_norm :args ((= (or (or @t48 @t47) @t10) (or @t48 @t47 @t10)))) % 0.14/0.36 (step @p19 :rule refl :args (@t10)) % 0.14/0.36 (step @p20 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.14/0.36 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or (not @t13) @t10))) % 0.14/0.36 (step @p22 :rule trans :premises (@p21 @p18)) % 0.14/0.36 (step @p23 :rule bool-impl-elim :args (@t13 @t10)) % 0.14/0.36 (step @p24 :rule trans :premises (@p23 @p22)) % 0.14/0.36 (step @p25 :rule cong :premises (@p24) :args (@t14)) % 0.14/0.36 (step @p26 :rule cong :premises (@p25 @p17) :args (@t15)) % 0.14/0.36 (step @p27 :rule bool-impl-elim :args (@t18 @t17)) % 0.14/0.36 (step @p28 :rule cong :premises (@p27) :args (@t20)) % 0.14/0.36 (step @p29 :rule bool-impl-elim :args (@t23 @t22)) % 0.14/0.36 (step @p30 :rule cong :premises (@p29) :args (@t25)) % 0.14/0.36 (step @p31 :rule nary_cong :premises (@p30 @p28) :args (@t26)) % 0.14/0.36 (step @p32 :rule bool-double-not-elim :args (@t28)) % 0.14/0.36 (step @p33 :rule refl :args (@t49)) % 0.14/0.36 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t49 (not @t29)))) % 0.14/0.36 (step @p35 :rule bool-and-de-morgan :args (@t30 @t29 true)) % 0.14/0.36 (step @p36 :rule trans :premises (@p35 @p34)) % 0.14/0.36 (step @p37 :rule cong :premises (@p36) :args (@t50)) % 0.14/0.36 (step @p38 :rule cong :premises (@p37) :args (@t51)) % 0.14/0.36 (step @p39 :rule exists-elim :args ((= @t33 @t51))) % 0.14/0.36 (step @p40 :rule trans :premises (@p39 @p38)) % 0.14/0.36 (step @p41 :rule aci_norm :args ((= (or (or @t49 @t29) @t34) @t52))) % 0.14/0.36 (step @p42 :rule refl :args (@t34)) % 0.14/0.36 (step @p43 :rule bool-and-de-morgan :args (@t30 @t28 true)) % 0.14/0.36 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or (not @t35) @t34))) % 0.14/0.36 (step @p45 :rule trans :premises (@p44 @p41)) % 0.14/0.36 (step @p46 :rule bool-impl-elim :args (@t35 @t34)) % 0.14/0.36 (step @p47 :rule trans :premises (@p46 @p45)) % 0.14/0.36 (step @p48 :rule cong :premises (@p47) :args (@t36)) % 0.14/0.36 (step @p49 :rule cong :premises (@p48 @p40) :args (@t37)) % 0.14/0.36 (step @p50 :rule nary_cong :premises (@p49 @p31) :args (@t38)) % 0.14/0.36 (step @p51 :rule cong :premises (@p50 @p26) :args (@t39)) % 0.14/0.36 (step @p52 :rule cong :premises (@p51) :args (@t40)) % 0.14/0.36 (step @p53 :rule eq_resolve :premises (@p1 @p52)) % 0.14/0.36 (step @p54 :rule not_implies_elim2 :premises (@p53)) % 0.14/0.36 (step @p55 :rule not_implies_elim2 :premises (@p54)) % 0.14/0.36 (step @p56 :rule not_not_elim :premises (@p55)) % 0.14/0.36 (step @p57 :rule alpha_equiv :args (@t53 @t54 (@list @t1))) % 0.14/0.36 (step @p58 :rule equiv_elim2 :premises (@p57)) % 0.14/0.36 (step @p59 :rule chain_m_resolution :premises (@p58 @p56) :args (@t53 @t55 (@list (forall @t7 (or @t42 @t41 @t2))))) % 0.14/0.36 (step @p60 :rule not_implies_elim1 :premises (@p53)) % 0.14/0.36 (step @p61 :rule and_elim :premises (@p60) :args (0)) % 0.14/0.36 (step @p62 :rule implies_elim :premises (@p61)) % 0.14/0.36 (step @p63 :rule reordering :premises (@p62) :args ((or @t57 (not @t53)))) % 0.14/0.36 (step @p64 :rule chain_m_resolution :premises (@p63 @p59) :args (@t57 @t55 (@list @t53))) % 0.14/0.36 (step @p65 :rule skolemize :premises (@p64)) % 0.14/0.36 (step @p66 :rule bool-double-not-elim :args (@t59)) % 0.14/0.36 (step @p67 :rule refl :args (@t62)) % 0.14/0.36 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t62 (not @t61)))) % 0.14/0.36 (step @p69 :rule cnf_or_neg :args (@t62 0)) % 0.14/0.36 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.14/0.36 (step @p71 :rule reordering :premises (@p70) :args ((or @t59 @t62))) % 0.14/0.36 (step @p72 :rule chain_m_resolution :premises (@p71 @p65) :args (@t59 @t63 @t64)) % 0.14/0.36 (step @p73 :rule alpha_equiv :args (@t56 @t54 (@list @t21))) % 0.14/0.36 (step @p74 :rule equiv_elim2 :premises (@p73)) % 0.14/0.36 (step @p75 :rule chain_m_resolution :premises (@p74 @p64) :args ((not @t65) @t63 (@list @t56))) % 0.14/0.36 (step @p76 :rule and_elim :premises (@p60) :args (1)) % 0.14/0.36 (step @p77 :rule chain_m_resolution :premises (@p76 @p75) :args ((forall @t19 (or (not @t18) @t17)) @t63 (@list @t65))) % 0.14/0.36 (step @p78 :rule instantiate :premises (@p77) :args (@t66)) % 0.14/0.36 (step @p79 :rule not_implies_elim1 :premises (@p54)) % 0.14/0.36 (step @p80 :rule instantiate :premises (@p79) :args (@t66)) % 0.14/0.36 (step @p81 :rule cnf_or_neg :args (@t62 1)) % 0.14/0.36 (step @p82 :rule chain_m_resolution :premises (@p81 @p65) :args ((not @t60) @t63 @t64)) % 0.14/0.36 (step @p83 :rule cnf_or_pos :args (@t69)) % 0.14/0.36 (step @p84 :rule reordering :premises (@p83) :args ((or @t61 @t60 @t68 (not @t69)))) % 0.14/0.36 (step @p85 :rule chain_m_resolution :premises (@p84 @p72 @p82 @p80) :args (@t68 (@list false true false) (@list @t59 @t60 @t69))) % 0.14/0.36 (step @p86 :rule cnf_or_pos :args (@t70)) % 0.14/0.36 (step @p87 :rule reordering :premises (@p86) :args ((or @t61 @t67 (not @t70)))) % 0.14/0.36 (step @p88 false :rule chain_m_resolution :premises (@p87 @p85 @p78 @p72) :args (false (@list true false false) (@list @t67 @t70 @t59))) % 0.14/0.36 ) % 0.14/0.36 % SZS output end Proof % 0.14/0.36 % cvc5 exiting %------------------------------------------------------------------------------