%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET612^5 : 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 : n005.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 08:48:13 AM UTC 2026 % Result : Theorem 0.34s 0.56s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET612^5 : 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 % 0.18/0.35 % Computer : n005.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:04:48 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.50 %----Proving TH0 % 0.34/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.34/0.56 % SZS status Theorem % 0.34/0.56 % SZS output start Proof % 0.34/0.56 ( % 0.34/0.56 (declare-sort tptp.a 0) % 0.34/0.56 (define @t1 () (@var "Xx" tptp.a)) % 0.34/0.56 (define @t2 () (@var "Z" (-> tptp.a Bool))) % 0.34/0.56 (define @t3 () (_ @t2 @t1)) % 0.34/0.56 (define @t4 () (not @t3)) % 0.34/0.56 (define @t5 () (@var "X" (-> tptp.a Bool))) % 0.34/0.56 (define @t6 () (_ @t5 @t1)) % 0.34/0.56 (define @t7 () (@var "Y" (-> tptp.a Bool))) % 0.34/0.56 (define @t8 () (_ @t7 @t1)) % 0.34/0.56 (define @t9 () (not @t8)) % 0.34/0.56 (define @t10 () (and @t6 @t9 @t6 @t4)) % 0.34/0.56 (define @t11 () (@list @t1)) % 0.34/0.56 (define @t12 () (lambda @t11 @t10)) % 0.34/0.56 (define @t13 () (or @t8 @t3)) % 0.34/0.56 (define @t14 () (not @t13)) % 0.34/0.56 (define @t15 () (and @t6 @t14)) % 0.34/0.56 (define @t16 () (lambda @t11 @t15)) % 0.34/0.56 (define @t17 () (= @t16 @t12)) % 0.34/0.56 (define @t18 () (@list @t5 @t7 @t2)) % 0.34/0.56 (define @t19 () (forall @t18 @t17)) % 0.34/0.56 (define @t20 () (not @t19)) % 0.34/0.56 (define @t21 () (_ @t2 @t1)) % 0.34/0.56 (define @t22 () (_ @t5 @t1)) % 0.34/0.56 (define @t23 () (_ @t7 @t1)) % 0.34/0.56 (define @t24 () (forall @t18 (= (lambda @t11 (and @t22 (not (or @t23 @t21)))) (lambda @t11 (and @t22 (not @t23) @t22 (not @t21)))))) % 0.34/0.56 (define @t25 () (@quantifiers_skolemize @t24 2)) % 0.34/0.56 (define @t26 () (_ @t25 @t1)) % 0.34/0.56 (define @t27 () (@quantifiers_skolemize @t24 1)) % 0.34/0.56 (define @t28 () (_ @t27 @t1)) % 0.34/0.56 (define @t29 () (@quantifiers_skolemize @t24 0)) % 0.34/0.56 (define @t30 () (_ @t29 @t1)) % 0.34/0.56 (define @t31 () (lambda @t11 (and @t30 (not (or @t28 @t26))))) % 0.34/0.56 (define @t32 () (@purify @t31)) % 0.34/0.56 (define @t33 () (lambda @t11 (and @t30 (not @t28) @t30 (not @t26)))) % 0.34/0.56 (define @t34 () (@purify @t33)) % 0.34/0.56 (define @t35 () (= @t34 @t32)) % 0.34/0.56 (define @t36 () (not @t35)) % 0.34/0.56 (define @t37 () (not @t24)) % 0.34/0.56 (define @t38 () (= @t31 @t33)) % 0.34/0.56 (define @t39 () (not @t38)) % 0.34/0.56 (define @t40 () (@list true)) % 0.34/0.56 (define @t41 () (@const 0 tptp.a)) % 0.34/0.56 (define @t42 () (_ @t25 @t41)) % 0.34/0.56 (define @t43 () (not @t42)) % 0.34/0.56 (define @t44 () (_ @t29 @t41)) % 0.34/0.56 (define @t45 () (_ @t27 @t41)) % 0.34/0.56 (define @t46 () (not @t45)) % 0.34/0.56 (define @t47 () (and @t44 @t46 @t44 @t43)) % 0.34/0.56 (define @t48 () (or @t45 @t42)) % 0.34/0.56 (define @t49 () (not @t48)) % 0.34/0.56 (define @t50 () (and @t44 @t49)) % 0.34/0.56 (define @t51 () (= (_ @t31 @t41) @t50)) % 0.34/0.56 (define @t52 () (_ @t32 @t41)) % 0.34/0.56 (define @t53 () (= (_ @t33 @t41) @t47)) % 0.34/0.56 (define @t54 () (_ @t34 @t41)) % 0.34/0.56 (define @t55 () (= @t54 @t52)) % 0.34/0.56 (define @t56 () (not @t55)) % 0.34/0.56 (define @t57 () (or @t35 @t56)) % 0.34/0.56 (define @t58 () (= @t50 @t47)) % 0.34/0.56 (define @t59 () (not @t47)) % 0.34/0.56 (define @t60 () (not @t50)) % 0.34/0.56 (define @t61 () (@list true true true false)) % 0.34/0.56 (define @t62 () (@list @t58 @t50 @t47 @t48)) % 0.34/0.56 (define @t63 () (not @t44)) % 0.34/0.56 (define @t64 () (@list @t44)) % 0.34/0.56 (assume @p1 @t20) % 0.34/0.56 (assume @p2 true) % 0.34/0.56 (step @p3 :rule refl :args (@t21)) % 0.34/0.56 (step @p4 :rule refl :args (@t3)) % 0.34/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t21))) % 0.34/0.56 (step @p6 :rule symm :premises (@p5)) % 0.34/0.56 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.34/0.56 (step @p8 :rule cong :premises (@p7) :args (@t4)) % 0.34/0.56 (step @p9 :rule refl :args (@t22)) % 0.34/0.56 (step @p10 :rule refl :args (@t6)) % 0.34/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t6 @t22))) % 0.34/0.56 (step @p12 :rule symm :premises (@p11)) % 0.34/0.56 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.34/0.56 (step @p14 :rule refl :args (@t23)) % 0.34/0.56 (step @p15 :rule refl :args (@t8)) % 0.34/0.56 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t8 @t23))) % 0.34/0.56 (step @p17 :rule symm :premises (@p16)) % 0.34/0.56 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.34/0.56 (step @p19 :rule cong :premises (@p18) :args (@t9)) % 0.34/0.56 (step @p20 :rule nary_cong :premises (@p13 @p19 @p13 @p8) :args (@t10)) % 0.34/0.56 (step @p21 :rule cong :premises (@p20) :args (@t12)) % 0.34/0.56 (step @p22 :rule nary_cong :premises (@p18 @p7) :args (@t13)) % 0.34/0.56 (step @p23 :rule cong :premises (@p22) :args (@t14)) % 0.34/0.56 (step @p24 :rule nary_cong :premises (@p13 @p23) :args (@t15)) % 0.34/0.56 (step @p25 :rule cong :premises (@p24) :args (@t16)) % 0.34/0.56 (step @p26 :rule cong :premises (@p25 @p21) :args (@t17)) % 0.34/0.56 (step @p27 :rule cong :premises (@p26) :args (@t19)) % 0.34/0.56 (step @p28 :rule cong :premises (@p27) :args (@t20)) % 0.34/0.56 (step @p29 :rule eq_resolve :premises (@p1 @p28)) % 0.34/0.56 (step @p30 :rule refl :args (@t36)) % 0.34/0.56 (step @p31 :rule bool-double-not-elim :args (@t24)) % 0.34/0.56 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t37) @t36))) % 0.34/0.56 (step @p33 :rule eq-symm :args (@t32 @t34)) % 0.34/0.56 (step @p34 :rule eq-refl :args (@t33)) % 0.34/0.56 (step @p35 :rule skolem_intro :args (@t34)) % 0.34/0.56 (step @p36 :rule refl :args (@t33)) % 0.34/0.56 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t33 @t34))) % 0.34/0.56 (step @p38 :rule trans :premises (@p37 @p34)) % 0.34/0.56 (step @p39 :rule true_elim :premises (@p38)) % 0.34/0.56 (step @p40 :rule eq-refl :args (@t31)) % 0.34/0.56 (step @p41 :rule skolem_intro :args (@t32)) % 0.34/0.56 (step @p42 :rule refl :args (@t31)) % 0.34/0.56 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t31 @t32))) % 0.34/0.56 (step @p44 :rule trans :premises (@p43 @p40)) % 0.34/0.56 (step @p45 :rule true_elim :premises (@p44)) % 0.34/0.56 (step @p46 :rule cong :premises (@p45 @p39) :args (@t38)) % 0.34/0.56 (step @p47 :rule trans :premises (@p46 @p33)) % 0.34/0.56 (step @p48 :rule cong :premises (@p47) :args (@t39)) % 0.34/0.56 (step @p49 :rule refl :args (@t37)) % 0.34/0.56 (step @p50 :rule cong :premises (@p49 @p48) :args ((=> @t37 @t39))) % 0.34/0.56 (assume-push @p124 @t37) % 0.34/0.56 (step @p52 :rule skolemize :premises (@p29)) % 0.34/0.56 (step-pop @p125 :rule scope :premises (@p52)) % 0.34/0.56 (step @p53 :rule process_scope :premises (@p125) :args (@t39)) % 0.34/0.56 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 0.34/0.56 (step @p56 :rule implies_elim :premises (@p55)) % 0.34/0.56 (step @p57 :rule eq_resolve :premises (@p56 @p32)) % 0.34/0.56 (step @p58 :rule chain_m_resolution :premises (@p57 @p29) :args (@t36 @t40 (@list @t24))) % 0.34/0.56 (step @p59 :rule eq-symm :args (@t47 @t50)) % 0.34/0.56 (step @p60 :rule eq-refl :args (@t50)) % 0.34/0.56 (step @p61 :rule refl :args (@t50)) % 0.34/0.56 (step @p62 :rule beta-reduce :args (@t51)) % 0.34/0.56 (step @p63 :rule cong :premises (@p62 @p61) :args (@t51)) % 0.34/0.56 (step @p64 :rule trans :premises (@p63 @p60)) % 0.34/0.56 (step @p65 :rule refl :args (@t41)) % 0.34/0.56 (step @p66 :rule ho_cong :premises (@p41 @p65)) % 0.34/0.56 (step @p67 :rule cong :premises (@p66 @p61) :args ((= @t52 @t50))) % 0.34/0.56 (step @p68 :rule trans :premises (@p67 @p64)) % 0.34/0.56 (step @p69 :rule true_elim :premises (@p68)) % 0.34/0.56 (step @p70 :rule eq-refl :args (@t47)) % 0.34/0.56 (step @p71 :rule refl :args (@t47)) % 0.34/0.56 (step @p72 :rule beta-reduce :args (@t53)) % 0.34/0.56 (step @p73 :rule cong :premises (@p72 @p71) :args (@t53)) % 0.34/0.56 (step @p74 :rule trans :premises (@p73 @p70)) % 0.34/0.56 (step @p75 :rule ho_cong :premises (@p35 @p65)) % 0.34/0.56 (step @p76 :rule cong :premises (@p75 @p71) :args ((= @t54 @t47))) % 0.34/0.56 (step @p77 :rule trans :premises (@p76 @p74)) % 0.34/0.56 (step @p78 :rule true_elim :premises (@p77)) % 0.34/0.56 (step @p79 :rule cong :premises (@p78 @p69) :args (@t55)) % 0.34/0.56 (step @p80 :rule trans :premises (@p79 @p59)) % 0.34/0.56 (step @p81 :rule cong :premises (@p80) :args (@t56)) % 0.34/0.56 (step @p82 :rule refl :args (@t35)) % 0.34/0.56 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t57)) % 0.34/0.56 ; WARNING: add trust step for TRUST % 0.34/0.56 ; trust TRUST THEORY_LEMMA % 0.34/0.56 (step @p84 :rule trust :premises () :args (@t57)) % 0.34/0.56 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.34/0.56 (step @p86 :rule chain_m_resolution :premises (@p85 @p58) :args ((not @t58) @t40 (@list @t35))) % 0.34/0.56 (step @p87 :rule cnf_or_neg :args (@t48 1)) % 0.34/0.56 (step @p88 :rule cnf_and_pos :args (@t47 3)) % 0.34/0.56 (step @p89 :rule reordering :premises (@p88) :args ((or @t43 @t59))) % 0.34/0.56 (step @p90 :rule cnf_and_pos :args (@t50 1)) % 0.34/0.56 (step @p91 :rule reordering :premises (@p90) :args ((or @t49 @t60))) % 0.34/0.56 (step @p92 :rule cnf_equiv_neg1 :args (@t58)) % 0.34/0.56 (step @p93 :rule reordering :premises (@p92) :args ((or @t50 @t47 @t58))) % 0.34/0.56 (step @p94 :rule chain_m_resolution :premises (@p93 @p86 @p91 @p89 @p87) :args (@t43 @t61 @t62)) % 0.34/0.56 (step @p95 :rule cnf_or_neg :args (@t48 0)) % 0.34/0.56 (step @p96 :rule cnf_and_pos :args (@t47 1)) % 0.34/0.56 (step @p97 :rule reordering :premises (@p96) :args ((or @t46 @t59))) % 0.34/0.56 (step @p98 :rule chain_m_resolution :premises (@p93 @p86 @p91 @p97 @p95) :args (@t46 @t61 @t62)) % 0.34/0.56 (step @p99 :rule cnf_or_pos :args (@t48)) % 0.34/0.56 (step @p100 :rule reordering :premises (@p99) :args ((or @t45 @t42 @t49))) % 0.34/0.56 (step @p101 :rule bool-double-not-elim :args (@t42)) % 0.34/0.56 (step @p102 :rule refl :args (@t63)) % 0.34/0.56 (step @p103 :rule bool-double-not-elim :args (@t45)) % 0.34/0.56 (step @p104 :rule nary_cong :premises (@p71 @p102 @p103 @p102 @p101) :args ((or @t47 @t63 (not @t46) @t63 (not @t43)))) % 0.34/0.56 (step @p105 :rule cnf_and_neg :args (@t47)) % 0.34/0.56 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.34/0.56 (step @p107 :rule factoring :premises (@p106)) % 0.34/0.56 (step @p108 :rule reordering :premises (@p107) :args ((or @t45 @t42 @t47 @t63))) % 0.34/0.56 (step @p109 :rule bool-double-not-elim :args (@t48)) % 0.34/0.56 (step @p110 :rule nary_cong :premises (@p61 @p102 @p109) :args ((or @t50 @t63 (not @t49)))) % 0.34/0.57 (step @p111 :rule cnf_and_neg :args (@t50)) % 0.34/0.57 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.34/0.57 (step @p113 :rule reordering :premises (@p112) :args ((or @t48 @t50 @t63))) % 0.34/0.57 (step @p114 :rule cnf_equiv_neg2 :args (@t58)) % 0.34/0.57 (step @p115 :rule chain_m_resolution :premises (@p114 @p86 @p113 @p108 @p100) :args ((or @t45 @t42 @t63) (@list true false false true) @t62)) % 0.34/0.57 (step @p116 :rule chain_m_resolution :premises (@p115 @p98 @p94) :args (@t63 (@list true true) (@list @t45 @t42))) % 0.34/0.57 (step @p117 :rule cnf_and_pos :args (@t50 0)) % 0.34/0.57 (step @p118 :rule reordering :premises (@p117) :args ((or @t44 @t60))) % 0.34/0.57 (step @p119 :rule chain_m_resolution :premises (@p118 @p116) :args (@t60 @t40 @t64)) % 0.34/0.57 (step @p120 :rule cnf_and_pos :args (@t47 0)) % 0.34/0.57 (step @p121 :rule reordering :premises (@p120) :args ((or @t44 @t59))) % 0.34/0.57 (step @p122 :rule chain_m_resolution :premises (@p121 @p116) :args (@t59 @t40 @t64)) % 0.34/0.57 (step @p123 false :rule chain_m_resolution :premises (@p93 @p122 @p119 @p86) :args (false (@list true true true) (@list @t47 @t50 @t58))) % 0.34/0.57 ) % 0.34/0.57 % SZS output end Proof % 0.34/0.57 % cvc5 exiting %------------------------------------------------------------------------------