%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET595^5 : 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 : n012.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 08:48:09 AM UTC 2026 % Result : Theorem 0.16s 0.36s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET595^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 16:04:03 EDT 2026 % 0.06/0.25 % CPUTime : % 0.06/0.33 %----Proving TH0 % 0.16/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.16/0.36 % SZS status Theorem % 0.16/0.36 % SZS output start Proof % 0.16/0.36 ( % 0.16/0.36 (declare-sort tptp.a 0) % 0.16/0.36 (define @t1 () (@var "Xz" tptp.a)) % 0.16/0.36 (define @t2 () (@var "X" (-> tptp.a Bool))) % 0.16/0.36 (define @t3 () (_ @t2 @t1)) % 0.16/0.36 (define @t4 () (not @t3)) % 0.16/0.36 (define @t5 () (@var "Y" (-> tptp.a Bool))) % 0.16/0.36 (define @t6 () (_ @t5 @t1)) % 0.16/0.36 (define @t7 () (and @t6 @t4)) % 0.16/0.36 (define @t8 () (or @t3 @t7)) % 0.16/0.36 (define @t9 () (@list @t1)) % 0.16/0.36 (define @t10 () (lambda @t9 @t8)) % 0.16/0.36 (define @t11 () (= @t5 @t10)) % 0.16/0.36 (define @t12 () (@var "Xx" tptp.a)) % 0.16/0.36 (define @t13 () (_ @t5 @t12)) % 0.16/0.36 (define @t14 () (_ @t2 @t12)) % 0.16/0.36 (define @t15 () (@list @t12)) % 0.16/0.36 (define @t16 () (forall @t15 (=> @t14 @t13))) % 0.16/0.36 (define @t17 () (=> @t16 @t11)) % 0.16/0.36 (define @t18 () (@list @t2 @t5)) % 0.16/0.36 (define @t19 () (forall @t18 @t17)) % 0.16/0.36 (define @t20 () (not @t19)) % 0.16/0.36 (define @t21 () (_ @t2 @t1)) % 0.16/0.36 (define @t22 () (_ @t5 @t1)) % 0.16/0.36 (define @t23 () (_ @t5 @t12)) % 0.16/0.36 (define @t24 () (_ @t2 @t12)) % 0.16/0.36 (define @t25 () (forall @t15 (or (not @t24) @t23))) % 0.16/0.36 (define @t26 () (not @t25)) % 0.16/0.36 (define @t27 () (or @t26 @t11)) % 0.16/0.36 (define @t28 () (not @t14)) % 0.16/0.36 (define @t29 () (or @t28 @t13)) % 0.16/0.36 (define @t30 () (forall @t18 (or @t26 (= @t5 (lambda @t9 (or @t21 (and @t22 (not @t21)))))))) % 0.16/0.36 (define @t31 () (@quantifiers_skolemize @t30 0)) % 0.16/0.36 (define @t32 () (_ @t31 @t1)) % 0.16/0.36 (define @t33 () (@quantifiers_skolemize @t30 1)) % 0.16/0.36 (define @t34 () (lambda @t9 (or @t32 (and (_ @t33 @t1) (not @t32))))) % 0.16/0.36 (define @t35 () (@purify @t34)) % 0.16/0.36 (define @t36 () (= @t33 @t35)) % 0.16/0.36 (define @t37 () (forall @t15 (or (not (_ @t31 @t12)) (_ @t33 @t12)))) % 0.16/0.36 (define @t38 () (not @t37)) % 0.16/0.36 (define @t39 () (or @t38 @t36)) % 0.16/0.36 (define @t40 () (not @t39)) % 0.16/0.36 (define @t41 () (not @t30)) % 0.16/0.36 (define @t42 () (= @t33 @t34)) % 0.16/0.36 (define @t43 () (or @t38 @t42)) % 0.16/0.36 (define @t44 () (not @t43)) % 0.16/0.36 (define @t45 () (@list true)) % 0.16/0.36 (define @t46 () (@list @t39)) % 0.16/0.36 (define @t47 () (@const 0 tptp.a)) % 0.16/0.36 (define @t48 () (_ @t31 @t47)) % 0.16/0.36 (define @t49 () (not @t48)) % 0.16/0.36 (define @t50 () (_ @t33 @t47)) % 0.16/0.36 (define @t51 () (and @t50 @t49)) % 0.16/0.36 (define @t52 () (or @t48 @t51)) % 0.16/0.36 (define @t53 () (= (_ @t34 @t47) @t52)) % 0.16/0.36 (define @t54 () (_ @t35 @t47)) % 0.16/0.36 (define @t55 () (= @t50 @t54)) % 0.16/0.36 (define @t56 () (not @t55)) % 0.16/0.36 (define @t57 () (or @t36 @t56)) % 0.16/0.36 (define @t58 () (= @t50 @t52)) % 0.16/0.36 (define @t59 () (not @t50)) % 0.16/0.36 (define @t60 () (not @t51)) % 0.16/0.36 (define @t61 () (@list true false)) % 0.16/0.36 (define @t62 () (or @t49 @t50)) % 0.16/0.36 (define @t63 () (not @t62)) % 0.16/0.36 (assume @p1 @t20) % 0.16/0.36 (assume @p2 true) % 0.16/0.36 (step @p3 :rule refl :args (@t21)) % 0.16/0.36 (step @p4 :rule refl :args (@t3)) % 0.16/0.36 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t21))) % 0.16/0.36 (step @p6 :rule symm :premises (@p5)) % 0.16/0.36 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.16/0.36 (step @p8 :rule cong :premises (@p7) :args (@t4)) % 0.16/0.36 (step @p9 :rule refl :args (@t22)) % 0.16/0.36 (step @p10 :rule refl :args (@t6)) % 0.16/0.36 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t6 @t22))) % 0.16/0.36 (step @p12 :rule symm :premises (@p11)) % 0.16/0.36 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.16/0.36 (step @p14 :rule nary_cong :premises (@p13 @p8) :args (@t7)) % 0.16/0.36 (step @p15 :rule nary_cong :premises (@p7 @p14) :args (@t8)) % 0.16/0.36 (step @p16 :rule cong :premises (@p15) :args (@t10)) % 0.16/0.36 (step @p17 :rule refl :args (@t5)) % 0.16/0.36 (step @p18 :rule cong :premises (@p17 @p16) :args (@t11)) % 0.16/0.36 (step @p19 :rule refl :args (@t26)) % 0.16/0.36 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t27)) % 0.16/0.36 (step @p21 :rule cong :premises (@p20) :args ((forall @t18 @t27))) % 0.16/0.36 (step @p22 :rule bool-impl-elim :args (@t25 @t11)) % 0.16/0.36 (step @p23 :rule cong :premises (@p22) :args ((forall @t18 (=> @t25 @t11)))) % 0.16/0.36 (step @p24 :rule trans :premises (@p23 @p21)) % 0.16/0.36 (step @p25 :rule refl :args (@t11)) % 0.16/0.36 (step @p26 :rule refl :args (@t23)) % 0.16/0.36 (step @p27 :rule refl :args (@t13)) % 0.16/0.36 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t13 @t23))) % 0.16/0.36 (step @p29 :rule symm :premises (@p28)) % 0.16/0.36 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.16/0.36 (step @p31 :rule refl :args (@t24)) % 0.16/0.36 (step @p32 :rule refl :args (@t14)) % 0.16/0.36 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t14 @t24))) % 0.16/0.36 (step @p34 :rule symm :premises (@p33)) % 0.16/0.36 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.16/0.36 (step @p36 :rule cong :premises (@p35) :args (@t28)) % 0.16/0.36 (step @p37 :rule nary_cong :premises (@p36 @p30) :args (@t29)) % 0.16/0.36 (step @p38 :rule cong :premises (@p37) :args ((forall @t15 @t29))) % 0.16/0.36 (step @p39 :rule bool-impl-elim :args (@t14 @t13)) % 0.16/0.36 (step @p40 :rule cong :premises (@p39) :args (@t16)) % 0.16/0.36 (step @p41 :rule trans :premises (@p40 @p38)) % 0.16/0.36 (step @p42 :rule cong :premises (@p41 @p25) :args (@t17)) % 0.16/0.36 (step @p43 :rule cong :premises (@p42) :args (@t19)) % 0.16/0.36 (step @p44 :rule trans :premises (@p43 @p24)) % 0.16/0.36 (step @p45 :rule cong :premises (@p44) :args (@t20)) % 0.16/0.36 (step @p46 :rule eq_resolve :premises (@p1 @p45)) % 0.16/0.36 (step @p47 :rule refl :args (@t40)) % 0.16/0.36 (step @p48 :rule bool-double-not-elim :args (@t30)) % 0.16/0.36 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or (not @t41) @t40))) % 0.16/0.36 (step @p50 :rule eq-refl :args (@t34)) % 0.16/0.36 (step @p51 :rule skolem_intro :args (@t35)) % 0.16/0.36 (step @p52 :rule refl :args (@t34)) % 0.16/0.36 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t34 @t35))) % 0.16/0.36 (step @p54 :rule trans :premises (@p53 @p50)) % 0.16/0.36 (step @p55 :rule true_elim :premises (@p54)) % 0.16/0.36 (step @p56 :rule refl :args (@t33)) % 0.16/0.36 (step @p57 :rule cong :premises (@p56 @p55) :args (@t42)) % 0.16/0.36 (step @p58 :rule refl :args (@t38)) % 0.16/0.36 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t43)) % 0.16/0.36 (step @p60 :rule cong :premises (@p59) :args (@t44)) % 0.16/0.36 (step @p61 :rule refl :args (@t41)) % 0.16/0.36 (step @p62 :rule cong :premises (@p61 @p60) :args ((=> @t41 @t44))) % 0.16/0.36 (assume-push @p128 @t41) % 0.16/0.36 (step @p64 :rule skolemize :premises (@p46)) % 0.16/0.36 (step-pop @p129 :rule scope :premises (@p64)) % 0.16/0.36 (step @p65 :rule process_scope :premises (@p129) :args (@t44)) % 0.16/0.36 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 0.16/0.36 (step @p68 :rule implies_elim :premises (@p67)) % 0.16/0.36 (step @p69 :rule eq_resolve :premises (@p68 @p49)) % 0.16/0.36 (step @p70 :rule chain_m_resolution :premises (@p69 @p46) :args (@t40 @t45 (@list @t30))) % 0.16/0.36 (step @p71 :rule bool-double-not-elim :args (@t37)) % 0.16/0.36 (step @p72 :rule refl :args (@t39)) % 0.16/0.36 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t39 (not @t38)))) % 0.16/0.36 (step @p74 :rule cnf_or_neg :args (@t39 0)) % 0.16/0.36 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.16/0.36 (step @p76 :rule reordering :premises (@p75) :args ((or @t37 @t39))) % 0.16/0.36 (step @p77 :rule chain_m_resolution :premises (@p76 @p70) :args (@t37 @t45 @t46)) % 0.16/0.36 (step @p78 :rule cnf_or_neg :args (@t39 1)) % 0.16/0.36 (step @p79 :rule chain_m_resolution :premises (@p78 @p70) :args ((not @t36) @t45 @t46)) % 0.16/0.36 (step @p80 :rule eq-refl :args (@t52)) % 0.16/0.36 (step @p81 :rule refl :args (@t52)) % 0.16/0.36 (step @p82 :rule beta-reduce :args (@t53)) % 0.16/0.36 (step @p83 :rule cong :premises (@p82 @p81) :args (@t53)) % 0.16/0.36 (step @p84 :rule trans :premises (@p83 @p80)) % 0.16/0.36 (step @p85 :rule refl :args (@t47)) % 0.16/0.36 (step @p86 :rule ho_cong :premises (@p51 @p85)) % 0.16/0.36 (step @p87 :rule cong :premises (@p86 @p81) :args ((= @t54 @t52))) % 0.16/0.36 (step @p88 :rule trans :premises (@p87 @p84)) % 0.16/0.36 (step @p89 :rule true_elim :premises (@p88)) % 0.16/0.36 (step @p90 :rule refl :args (@t50)) % 0.16/0.36 (step @p91 :rule cong :premises (@p90 @p89) :args (@t55)) % 0.16/0.36 (step @p92 :rule cong :premises (@p91) :args (@t56)) % 0.16/0.36 (step @p93 :rule refl :args (@t36)) % 0.16/0.36 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t57)) % 0.16/0.36 ; WARNING: add trust step for TRUST % 0.16/0.36 ; trust TRUST THEORY_LEMMA % 0.16/0.36 (step @p95 :rule trust :premises () :args (@t57)) % 0.16/0.36 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.16/0.36 (step @p97 :rule chain_m_resolution :premises (@p96 @p79) :args ((not @t58) @t45 (@list @t36))) % 0.16/0.36 (step @p98 :rule cnf_equiv_neg2 :args (@t58)) % 0.16/0.36 (step @p99 :rule cnf_or_neg :args (@t52 0)) % 0.16/0.36 (step @p100 :rule reordering :premises (@p99) :args ((or @t49 @t52))) % 0.16/0.36 (step @p101 :rule cnf_or_neg :args (@t52 1)) % 0.16/0.36 (step @p102 :rule bool-double-not-elim :args (@t48)) % 0.16/0.36 (step @p103 :rule refl :args (@t59)) % 0.16/0.36 (step @p104 :rule refl :args (@t51)) % 0.16/0.36 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102) :args ((or @t51 @t59 (not @t49)))) % 0.16/0.36 (step @p106 :rule cnf_and_neg :args (@t51)) % 0.16/0.36 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.16/0.36 (step @p108 :rule reordering :premises (@p107) :args ((or @t48 @t51 @t59))) % 0.16/0.36 (step @p109 :rule chain_m_resolution :premises (@p108 @p101 @p100 @p98 @p97) :args (@t59 (@list true true true true) (@list @t51 @t48 @t52 @t58))) % 0.16/0.36 (step @p110 :rule cnf_equiv_neg1 :args (@t58)) % 0.16/0.36 (step @p111 :rule reordering :premises (@p110) :args ((or @t50 @t52 @t58))) % 0.16/0.36 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p97) :args (@t52 (@list true true) (@list @t50 @t58))) % 0.16/0.36 (step @p113 :rule cnf_and_pos :args (@t51 0)) % 0.16/0.36 (step @p114 :rule reordering :premises (@p113) :args ((or @t50 @t60))) % 0.16/0.36 (step @p115 :rule chain_m_resolution :premises (@p114 @p109) :args (@t60 @t45 (@list @t50))) % 0.16/0.36 (step @p116 :rule cnf_or_pos :args (@t52)) % 0.16/0.36 (step @p117 :rule reordering :premises (@p116) :args ((or @t48 @t51 (not @t52)))) % 0.16/0.36 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p112) :args (@t48 @t61 (@list @t51 @t52))) % 0.16/0.36 (step @p119 :rule cnf_or_pos :args (@t62)) % 0.16/0.36 (step @p120 :rule reordering :premises (@p119) :args ((or @t50 @t49 @t63))) % 0.16/0.36 (step @p121 :rule chain_m_resolution :premises (@p120 @p109 @p118) :args (@t63 @t61 (@list @t50 @t48))) % 0.16/0.36 (assume-push @p130 @t37) % 0.16/0.36 (step @p123 :rule instantiate :premises (@p77) :args ((@list @t47))) % 0.16/0.36 (step-pop @p131 :rule scope :premises (@p123)) % 0.16/0.36 (step @p124 :rule process_scope :premises (@p131) :args (@t62)) % 0.16/0.36 (step @p126 :rule implies_elim :premises (@p124)) % 0.16/0.36 (step @p127 false :rule chain_m_resolution :premises (@p126 @p121 @p77) :args (false @t61 (@list @t62 @t37))) % 0.16/0.36 ) % 0.16/0.36 % SZS output end Proof % 0.16/0.36 % cvc5 exiting %------------------------------------------------------------------------------