%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET014^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:46:56 AM UTC 2026 % Result : Theorem 0.34s 0.57s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET014^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n025.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 14:40:31 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.50 %----Proving TH0 % 0.34/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.34/0.57 % SZS status Theorem % 0.34/0.57 % SZS output start Proof % 0.34/0.57 ( % 0.34/0.57 (declare-sort tptp.a 0) % 0.34/0.57 (define @t1 () (@var "Xx" tptp.a)) % 0.34/0.57 (define @t2 () (@var "Z" (-> tptp.a Bool))) % 0.34/0.57 (define @t3 () (_ @t2 @t1)) % 0.34/0.57 (define @t4 () (@var "Y" (-> tptp.a Bool))) % 0.34/0.57 (define @t5 () (_ @t4 @t1)) % 0.34/0.57 (define @t6 () (@var "X" (-> tptp.a Bool))) % 0.34/0.57 (define @t7 () (_ @t6 @t1)) % 0.34/0.57 (define @t8 () (or @t7 @t5)) % 0.34/0.57 (define @t9 () (@list @t1)) % 0.34/0.57 (define @t10 () (forall @t9 (=> @t8 @t3))) % 0.34/0.57 (define @t11 () (forall @t9 (=> @t5 @t3))) % 0.34/0.57 (define @t12 () (forall @t9 (=> @t7 @t3))) % 0.34/0.57 (define @t13 () (and @t12 @t11)) % 0.34/0.57 (define @t14 () (=> @t13 @t10)) % 0.34/0.57 (define @t15 () (@list @t6 @t4 @t2)) % 0.34/0.57 (define @t16 () (forall @t15 @t14)) % 0.34/0.57 (define @t17 () (not @t16)) % 0.34/0.57 (define @t18 () (@var "BOUND_VARIABLE_7459" tptp.a)) % 0.34/0.57 (define @t19 () (_ @t2 @t18)) % 0.34/0.57 (define @t20 () (and (not (_ @t6 @t18)) (not (_ @t4 @t18)))) % 0.34/0.57 (define @t21 () (_ @t2 @t1)) % 0.34/0.57 (define @t22 () (_ @t4 @t1)) % 0.34/0.57 (define @t23 () (not @t22)) % 0.34/0.57 (define @t24 () (forall @t9 (or @t23 @t21))) % 0.34/0.57 (define @t25 () (not @t24)) % 0.34/0.57 (define @t26 () (_ @t6 @t1)) % 0.34/0.57 (define @t27 () (not @t26)) % 0.34/0.57 (define @t28 () (forall @t9 (or @t27 @t21))) % 0.34/0.57 (define @t29 () (not @t28)) % 0.34/0.57 (define @t30 () (or @t29 @t25 @t20 @t19)) % 0.34/0.57 (define @t31 () (or @t20 @t19)) % 0.34/0.57 (define @t32 () (or @t29 @t25 @t31)) % 0.34/0.57 (define @t33 () (@list @t6 @t4 @t2 @t18)) % 0.34/0.57 (define @t34 () (forall @t33 @t32)) % 0.34/0.57 (define @t35 () (@list @t18)) % 0.34/0.57 (define @t36 () (forall @t35 @t32)) % 0.34/0.57 (define @t37 () (forall @t35 @t31)) % 0.34/0.57 (define @t38 () (or @t29 @t25 @t37)) % 0.34/0.57 (define @t39 () (forall @t9 (or (and @t27 @t23) @t21))) % 0.34/0.57 (define @t40 () (or @t29 @t25 @t39)) % 0.34/0.57 (define @t41 () (and @t28 @t24)) % 0.34/0.57 (define @t42 () (not @t5)) % 0.34/0.57 (define @t43 () (not @t7)) % 0.34/0.57 (define @t44 () (and @t43 @t42)) % 0.34/0.57 (define @t45 () (or @t44 @t3)) % 0.34/0.57 (define @t46 () (or @t42 @t3)) % 0.34/0.57 (define @t47 () (or @t43 @t3)) % 0.34/0.57 (define @t48 () (forall @t33 @t30)) % 0.34/0.57 (define @t49 () (@quantifiers_skolemize @t48 2)) % 0.34/0.57 (define @t50 () (_ @t49 @t1)) % 0.34/0.57 (define @t51 () (@quantifiers_skolemize @t48 1)) % 0.34/0.57 (define @t52 () (forall @t9 (or (not (_ @t51 @t1)) @t50))) % 0.34/0.57 (define @t53 () (@quantifiers_skolemize @t48 3)) % 0.34/0.57 (define @t54 () (_ @t49 @t53)) % 0.34/0.57 (define @t55 () (_ @t51 @t53)) % 0.34/0.57 (define @t56 () (not @t55)) % 0.34/0.57 (define @t57 () (@quantifiers_skolemize @t48 0)) % 0.34/0.57 (define @t58 () (_ @t57 @t53)) % 0.34/0.57 (define @t59 () (not @t58)) % 0.34/0.57 (define @t60 () (and @t59 @t56)) % 0.34/0.57 (define @t61 () (not @t52)) % 0.34/0.57 (define @t62 () (forall @t9 (or (not (_ @t57 @t1)) @t50))) % 0.34/0.57 (define @t63 () (not @t62)) % 0.34/0.57 (define @t64 () (or @t63 @t61 @t60 @t54)) % 0.34/0.57 (define @t65 () (@list true)) % 0.34/0.57 (define @t66 () (@list @t64)) % 0.34/0.57 (define @t67 () (@list @t53)) % 0.34/0.57 (define @t68 () (or @t59 @t54)) % 0.34/0.57 (define @t69 () (@list true false)) % 0.34/0.57 (define @t70 () (or @t56 @t54)) % 0.34/0.57 (define @t71 () (not @t70)) % 0.34/0.57 (assume @p1 @t17) % 0.34/0.57 (assume @p2 true) % 0.34/0.57 (step @p3 :rule aci_norm :args ((= @t32 @t30))) % 0.34/0.57 (step @p4 :rule cong :premises (@p3) :args (@t34)) % 0.34/0.57 (step @p5 :rule quant-merge-prenex :args ((= (forall @t15 @t36) @t34))) % 0.34/0.57 (step @p6 :rule alpha_equiv :args (@t37 (@list @t18) (@list @t1))) % 0.34/0.57 (step @p7 :rule refl :args (@t25)) % 0.34/0.57 (step @p8 :rule refl :args (@t29)) % 0.34/0.57 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t38)) % 0.34/0.57 (step @p10 :rule quant-miniscope-or :args ((= @t36 @t38))) % 0.34/0.57 (step @p11 :rule trans :premises (@p10 @p9)) % 0.34/0.57 (step @p12 :rule symm :premises (@p11)) % 0.34/0.57 (step @p13 :rule cong :premises (@p12) :args ((forall @t15 @t40))) % 0.34/0.57 (step @p14 :rule trans :premises (@p13 @p5)) % 0.34/0.57 (step @p15 :rule trans :premises (@p14 @p4)) % 0.34/0.57 (step @p16 :rule aci_norm :args ((= (or (or @t29 @t25) @t39) @t40))) % 0.34/0.57 (step @p17 :rule refl :args (@t39)) % 0.34/0.57 (step @p18 :rule bool-and-de-morgan :args (@t28 @t24 true)) % 0.34/0.57 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t41) @t39))) % 0.34/0.57 (step @p20 :rule trans :premises (@p19 @p16)) % 0.34/0.57 (step @p21 :rule bool-impl-elim :args (@t41 @t39)) % 0.34/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.34/0.57 (step @p23 :rule cong :premises (@p22) :args ((forall @t15 (=> @t41 @t39)))) % 0.34/0.57 (step @p24 :rule trans :premises (@p23 @p15)) % 0.34/0.57 (step @p25 :rule refl :args (@t21)) % 0.34/0.57 (step @p26 :rule refl :args (@t3)) % 0.34/0.57 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t3 @t21))) % 0.34/0.57 (step @p28 :rule symm :premises (@p27)) % 0.34/0.57 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.34/0.57 (step @p30 :rule refl :args (@t22)) % 0.34/0.57 (step @p31 :rule refl :args (@t5)) % 0.34/0.57 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t5 @t22))) % 0.34/0.57 (step @p33 :rule symm :premises (@p32)) % 0.34/0.57 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.34/0.57 (step @p35 :rule cong :premises (@p34) :args (@t42)) % 0.34/0.57 (step @p36 :rule refl :args (@t26)) % 0.34/0.57 (step @p37 :rule refl :args (@t7)) % 0.34/0.57 (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t7 @t26))) % 0.34/0.57 (step @p39 :rule symm :premises (@p38)) % 0.34/0.57 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.34/0.57 (step @p41 :rule cong :premises (@p40) :args (@t43)) % 0.34/0.57 (step @p42 :rule nary_cong :premises (@p41 @p35) :args (@t44)) % 0.34/0.57 (step @p43 :rule nary_cong :premises (@p42 @p29) :args (@t45)) % 0.34/0.57 (step @p44 :rule cong :premises (@p43) :args ((forall @t9 @t45))) % 0.34/0.57 (step @p45 :rule bool-or-de-morgan :args (@t7 @t5 false)) % 0.34/0.57 (step @p46 :rule nary_cong :premises (@p45 @p26) :args ((or (not @t8) @t3))) % 0.34/0.57 (step @p47 :rule bool-impl-elim :args (@t8 @t3)) % 0.34/0.57 (step @p48 :rule trans :premises (@p47 @p46)) % 0.34/0.57 (step @p49 :rule cong :premises (@p48) :args (@t10)) % 0.34/0.57 (step @p50 :rule trans :premises (@p49 @p44)) % 0.34/0.57 (step @p51 :rule nary_cong :premises (@p35 @p29) :args (@t46)) % 0.34/0.57 (step @p52 :rule cong :premises (@p51) :args ((forall @t9 @t46))) % 0.34/0.57 (step @p53 :rule bool-impl-elim :args (@t5 @t3)) % 0.34/0.57 (step @p54 :rule cong :premises (@p53) :args (@t11)) % 0.34/0.57 (step @p55 :rule trans :premises (@p54 @p52)) % 0.34/0.57 (step @p56 :rule nary_cong :premises (@p41 @p29) :args (@t47)) % 0.34/0.57 (step @p57 :rule cong :premises (@p56) :args ((forall @t9 @t47))) % 0.34/0.57 (step @p58 :rule bool-impl-elim :args (@t7 @t3)) % 0.34/0.57 (step @p59 :rule cong :premises (@p58) :args (@t12)) % 0.34/0.57 (step @p60 :rule trans :premises (@p59 @p57)) % 0.34/0.57 (step @p61 :rule nary_cong :premises (@p60 @p55) :args (@t13)) % 0.34/0.57 (step @p62 :rule cong :premises (@p61 @p50) :args (@t14)) % 0.34/0.57 (step @p63 :rule cong :premises (@p62) :args (@t16)) % 0.34/0.57 (step @p64 :rule trans :premises (@p63 @p24)) % 0.34/0.57 (step @p65 :rule cong :premises (@p64) :args (@t17)) % 0.34/0.57 (step @p66 :rule eq_resolve :premises (@p1 @p65)) % 0.34/0.57 (step @p67 :rule skolemize :premises (@p66)) % 0.34/0.57 (step @p68 :rule bool-double-not-elim :args (@t52)) % 0.34/0.57 (step @p69 :rule refl :args (@t64)) % 0.34/0.57 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t64 (not @t61)))) % 0.34/0.57 (step @p71 :rule cnf_or_neg :args (@t64 1)) % 0.34/0.57 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.34/0.57 (step @p73 :rule reordering :premises (@p72) :args ((or @t52 @t64))) % 0.34/0.57 (step @p74 :rule chain_m_resolution :premises (@p73 @p67) :args (@t52 @t65 @t66)) % 0.34/0.57 (step @p75 :rule cnf_or_neg :args (@t64 3)) % 0.34/0.57 (step @p76 :rule chain_m_resolution :premises (@p75 @p67) :args ((not @t54) @t65 @t66)) % 0.34/0.57 (step @p77 :rule cnf_or_neg :args (@t64 2)) % 0.34/0.57 (step @p78 :rule chain_m_resolution :premises (@p77 @p67) :args ((not @t60) @t65 @t66)) % 0.34/0.57 (step @p79 :rule bool-double-not-elim :args (@t62)) % 0.34/0.57 (step @p80 :rule nary_cong :premises (@p69 @p79) :args ((or @t64 (not @t63)))) % 0.34/0.57 (step @p81 :rule cnf_or_neg :args (@t64 0)) % 0.34/0.57 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.34/0.57 (step @p83 :rule reordering :premises (@p82) :args ((or @t62 @t64))) % 0.34/0.57 (step @p84 :rule chain_m_resolution :premises (@p83 @p67) :args (@t62 @t65 @t66)) % 0.34/0.57 (step @p85 :rule instantiate :premises (@p84) :args (@t67)) % 0.34/0.57 (step @p86 :rule cnf_or_pos :args (@t68)) % 0.34/0.57 (step @p87 :rule reordering :premises (@p86) :args ((or @t59 @t54 (not @t68)))) % 0.34/0.57 (step @p88 :rule chain_m_resolution :premises (@p87 @p76 @p85) :args (@t59 @t69 (@list @t54 @t68))) % 0.34/0.57 (step @p89 :rule bool-double-not-elim :args (@t55)) % 0.34/0.57 (step @p90 :rule bool-double-not-elim :args (@t58)) % 0.34/0.57 (step @p91 :rule refl :args (@t60)) % 0.34/0.57 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89) :args ((or @t60 (not @t59) (not @t56)))) % 0.34/0.57 (step @p93 :rule cnf_and_neg :args (@t60)) % 0.34/0.57 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.34/0.57 (step @p95 :rule reordering :premises (@p94) :args ((or @t58 @t55 @t60))) % 0.34/0.57 (step @p96 :rule chain_m_resolution :premises (@p95 @p88 @p78) :args (@t55 (@list true true) (@list @t58 @t60))) % 0.34/0.57 (step @p97 :rule cnf_or_pos :args (@t70)) % 0.34/0.57 (step @p98 :rule reordering :premises (@p97) :args ((or @t56 @t54 @t71))) % 0.34/0.57 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p76) :args (@t71 (@list false true) (@list @t55 @t54))) % 0.34/0.57 (assume-push @p106 @t52) % 0.34/0.57 (step @p101 :rule instantiate :premises (@p74) :args (@t67)) % 0.34/0.57 (step-pop @p107 :rule scope :premises (@p101)) % 0.34/0.57 (step @p102 :rule process_scope :premises (@p107) :args (@t70)) % 0.34/0.57 (step @p104 :rule implies_elim :premises (@p102)) % 0.34/0.57 (step @p105 false :rule chain_m_resolution :premises (@p104 @p99 @p74) :args (false @t69 (@list @t70 @t52))) % 0.34/0.57 ) % 0.34/0.57 % SZS output end Proof % 0.34/0.57 % cvc5 exiting %------------------------------------------------------------------------------