%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO299^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 09:12:23 AM UTC 2026 % Result : Theorem 0.47s 0.63s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYO299^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 00:02:50 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.47/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.47/0.63 % SZS status Theorem % 0.47/0.63 % SZS output start Proof % 0.47/0.63 ( % 0.47/0.63 (define @t1 () (@var "S" Bool)) % 0.47/0.63 (define @t2 () (@var "Q" Bool)) % 0.47/0.63 (define @t3 () (= @t2 @t1)) % 0.47/0.63 (define @t4 () (@var "P" Bool)) % 0.47/0.63 (define @t5 () (= @t4 @t3)) % 0.47/0.63 (define @t6 () (@var "R" Bool)) % 0.47/0.63 (define @t7 () (= @t4 @t2)) % 0.47/0.63 (define @t8 () (=> (= @t7 @t6) @t5)) % 0.47/0.63 (define @t9 () (@list @t1)) % 0.47/0.63 (define @t10 () (exists @t9 @t8)) % 0.47/0.63 (define @t11 () (@list @t4 @t2 @t6)) % 0.47/0.63 (define @t12 () (forall @t11 @t10)) % 0.47/0.63 (define @t13 () (not @t12)) % 0.47/0.63 (define @t14 () (@var "BOUND_VARIABLE_7434" Bool)) % 0.47/0.63 (define @t15 () (= @t2 @t14)) % 0.47/0.63 (define @t16 () (not @t4)) % 0.47/0.63 (define @t17 () (@list @t14)) % 0.47/0.63 (define @t18 () (forall @t17 (= @t16 @t15))) % 0.47/0.63 (define @t19 () (not @t18)) % 0.47/0.63 (define @t20 () (or (= @t7 (not @t7)) @t19)) % 0.47/0.63 (define @t21 () (@list @t4 @t2)) % 0.47/0.63 (define @t22 () (not @t6)) % 0.47/0.63 (define @t23 () (= @t7 @t22)) % 0.47/0.63 (define @t24 () (= @t6 @t7)) % 0.47/0.63 (define @t25 () (not @t24)) % 0.47/0.63 (define @t26 () (@list @t6)) % 0.47/0.63 (define @t27 () (not @t22)) % 0.47/0.63 (define @t28 () (or @t23 @t23 @t19)) % 0.47/0.63 (define @t29 () (or @t23 @t19)) % 0.47/0.63 (define @t30 () (forall @t26 @t29)) % 0.47/0.63 (define @t31 () (forall @t21 @t30)) % 0.47/0.63 (define @t32 () (or (= @t22 @t7) @t19)) % 0.47/0.63 (define @t33 () (forall @t17 (= @t15 @t16))) % 0.47/0.63 (define @t34 () (= @t3 @t16)) % 0.47/0.63 (define @t35 () (forall @t9 @t34)) % 0.47/0.63 (define @t36 () (forall @t9 @t24)) % 0.47/0.63 (define @t37 () (and @t36 @t35)) % 0.47/0.63 (define @t38 () (and @t24 (= @t16 @t3))) % 0.47/0.63 (define @t39 () (=> @t24 @t5)) % 0.47/0.63 (define @t40 () (forall @t9 (not @t39))) % 0.47/0.63 (define @t41 () (not @t40)) % 0.47/0.63 (define @t42 () (forall @t21 @t19)) % 0.47/0.63 (define @t43 () (@quantifiers_skolemize @t42 1)) % 0.47/0.63 (define @t44 () (@quantifiers_skolemize @t42 0)) % 0.47/0.63 (define @t45 () (not @t44)) % 0.47/0.63 (define @t46 () (forall @t17 (= @t45 (= @t14 @t43)))) % 0.47/0.63 (define @t47 () (not @t42)) % 0.47/0.63 (define @t48 () (= @t45 (= @t43 @t14))) % 0.47/0.63 (define @t49 () (forall @t17 @t48)) % 0.47/0.63 (define @t50 () (not (not @t49))) % 0.47/0.63 (define @t51 () (@list true)) % 0.47/0.63 (define @t52 () (= @t45 (= true @t43))) % 0.47/0.63 (define @t53 () (= @t43 @t45)) % 0.47/0.63 (define @t54 () (not @t53)) % 0.47/0.63 (define @t55 () (not @t43)) % 0.47/0.63 (define @t56 () (= @t44 @t43)) % 0.47/0.63 (define @t57 () (= @t45 @t56)) % 0.47/0.63 (define @t58 () (not @t57)) % 0.47/0.63 (define @t59 () (not @t45)) % 0.47/0.63 (define @t60 () (= @t45 (= @t43 @t43))) % 0.47/0.63 (assume @p1 @t13) % 0.47/0.63 (assume @p2 true) % 0.47/0.63 (step @p3 :rule aci_norm :args ((= (or false @t19) @t19))) % 0.47/0.63 (step @p4 :rule refl :args (@t19)) % 0.47/0.63 (step @p5 :rule bool-eq-nrefl :args (@t7)) % 0.47/0.63 (step @p6 :rule nary_cong :premises (@p5 @p4) :args (@t20)) % 0.47/0.63 (step @p7 :rule trans :premises (@p6 @p3)) % 0.47/0.63 (step @p8 :rule cong :premises (@p7) :args ((forall @t21 @t20))) % 0.47/0.63 (step @p9 :rule quant-var-elim-eq :args ((= (forall @t26 (or @t25 @t23 @t19)) @t20))) % 0.47/0.63 (step @p10 :rule refl :args (@t19)) % 0.47/0.63 (step @p11 :rule refl :args (@t23)) % 0.47/0.63 (step @p12 :rule refl :args (@t7)) % 0.47/0.63 (step @p13 :rule bool-double-not-elim :args (@t6)) % 0.47/0.63 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t27 @t7))) % 0.47/0.63 (step @p15 :rule eq-symm :args (@t7 @t27)) % 0.47/0.63 (step @p16 :rule trans :premises (@p15 @p14)) % 0.47/0.63 (step @p17 :rule bool-not-eq-elim2 :args (@t7 @t22)) % 0.47/0.63 (step @p18 :rule trans :premises (@p17 @p16)) % 0.47/0.63 (step @p19 :rule cong :premises (@p18) :args ((not (not @t23)))) % 0.47/0.63 (step @p20 :rule bool-double-not-elim :args (@t23)) % 0.47/0.63 (step @p21 :rule symm :premises (@p20)) % 0.47/0.63 (step @p22 :rule trans :premises (@p21 @p19)) % 0.47/0.63 (step @p23 :rule nary_cong :premises (@p22 @p11 @p10) :args (@t28)) % 0.47/0.63 (step @p24 :rule aci_norm :args ((= @t29 @t28))) % 0.47/0.63 (step @p25 :rule trans :premises (@p24 @p23)) % 0.47/0.63 (step @p26 :rule cong :premises (@p25) :args (@t30)) % 0.47/0.63 (step @p27 :rule trans :premises (@p26 @p9)) % 0.47/0.63 (step @p28 :rule cong :premises (@p27) :args (@t31)) % 0.47/0.63 (step @p29 :rule quant-merge-prenex :args ((= @t31 (forall @t11 @t29)))) % 0.47/0.63 (step @p30 :rule symm :premises (@p29)) % 0.47/0.63 (step @p31 :rule trans :premises (@p30 @p28)) % 0.47/0.63 (step @p32 :rule trans :premises (@p31 @p8)) % 0.47/0.63 (step @p33 :rule eq-symm :args (@t22 @t7)) % 0.47/0.63 (step @p34 :rule nary_cong :premises (@p33 @p4) :args (@t32)) % 0.47/0.63 (step @p35 :rule cong :premises (@p34) :args ((forall @t11 @t32))) % 0.47/0.63 (step @p36 :rule trans :premises (@p35 @p32)) % 0.47/0.63 (step @p37 :rule bool-not-eq-elim1 :args (@t6 @t7)) % 0.47/0.63 (step @p38 :rule nary_cong :premises (@p37 @p10) :args ((or @t25 @t19))) % 0.47/0.63 (step @p39 :rule bool-and-de-morgan :args (@t24 @t18 true)) % 0.47/0.63 (step @p40 :rule trans :premises (@p39 @p38)) % 0.47/0.63 (step @p41 :rule cong :premises (@p40) :args ((forall @t11 (not (and @t24 @t18))))) % 0.47/0.63 (step @p42 :rule trans :premises (@p41 @p36)) % 0.47/0.63 (step @p43 :rule eq-symm :args (@t15 @t16)) % 0.47/0.63 (step @p44 :rule cong :premises (@p43) :args (@t33)) % 0.47/0.63 (step @p45 :rule refl :args (@t24)) % 0.47/0.63 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((and @t24 @t33))) % 0.47/0.63 (step @p47 :rule alpha_equiv :args (@t35 (@list @t1) (@list @t14))) % 0.47/0.63 (step @p48 :rule quant-unused-vars :args ((= @t36 @t24))) % 0.47/0.63 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t37)) % 0.47/0.63 (step @p50 :rule quant-miniscope-and :args ((= (forall @t9 (and @t24 @t34)) @t37))) % 0.47/0.63 (step @p51 :rule trans :premises (@p50 @p49)) % 0.47/0.63 (step @p52 :rule trans :premises (@p51 @p46)) % 0.47/0.63 (step @p53 :rule eq-symm :args (@t16 @t3)) % 0.47/0.63 (step @p54 :rule nary_cong :premises (@p45 @p53) :args (@t38)) % 0.47/0.63 (step @p55 :rule cong :premises (@p54) :args ((forall @t9 @t38))) % 0.47/0.63 (step @p56 :rule trans :premises (@p55 @p52)) % 0.47/0.63 (step @p57 :rule bool-not-eq-elim1 :args (@t4 @t3)) % 0.47/0.63 (step @p58 :rule refl :args (@t24)) % 0.47/0.63 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((and @t24 (not @t5)))) % 0.47/0.63 (step @p60 :rule bool-implies-de-morgan :args (@t24 @t5)) % 0.47/0.63 (step @p61 :rule trans :premises (@p60 @p59)) % 0.47/0.63 (step @p62 :rule cong :premises (@p61) :args (@t40)) % 0.47/0.63 (step @p63 :rule trans :premises (@p62 @p56)) % 0.47/0.63 (step @p64 :rule cong :premises (@p63) :args (@t41)) % 0.47/0.63 (step @p65 :rule exists-elim :args ((= (exists @t9 @t39) @t41))) % 0.47/0.63 (step @p66 :rule trans :premises (@p65 @p64)) % 0.47/0.63 (step @p67 :rule refl :args (@t5)) % 0.47/0.63 (step @p68 :rule eq-symm :args (@t7 @t6)) % 0.47/0.63 (step @p69 :rule cong :premises (@p68 @p67) :args (@t8)) % 0.47/0.63 (step @p70 :rule cong :premises (@p69) :args (@t10)) % 0.47/0.63 (step @p71 :rule trans :premises (@p70 @p66)) % 0.47/0.63 (step @p72 :rule cong :premises (@p71) :args (@t12)) % 0.47/0.63 (step @p73 :rule trans :premises (@p72 @p42)) % 0.47/0.63 (step @p74 :rule cong :premises (@p73) :args (@t13)) % 0.47/0.63 (step @p75 :rule eq_resolve :premises (@p1 @p74)) % 0.47/0.63 (step @p76 :rule refl :args (@t46)) % 0.47/0.63 (step @p77 :rule bool-double-not-elim :args (@t42)) % 0.47/0.63 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or (not @t47) @t46))) % 0.47/0.63 (step @p79 :rule eq-symm :args (@t43 @t14)) % 0.47/0.63 (step @p80 :rule refl :args (@t45)) % 0.47/0.63 (step @p81 :rule cong :premises (@p80 @p79) :args (@t48)) % 0.47/0.63 (step @p82 :rule cong :premises (@p81) :args (@t49)) % 0.47/0.63 (step @p83 :rule bool-double-not-elim :args (@t49)) % 0.47/0.63 (step @p84 :rule trans :premises (@p83 @p82)) % 0.47/0.63 (step @p85 :rule refl :args (@t47)) % 0.47/0.63 (step @p86 :rule cong :premises (@p85 @p84) :args ((=> @t47 @t50))) % 0.47/0.63 (assume-push @p142 @t47) % 0.47/0.63 (step @p88 :rule skolemize :premises (@p75)) % 0.47/0.63 (step-pop @p143 :rule scope :premises (@p88)) % 0.47/0.63 (step @p89 :rule process_scope :premises (@p143) :args (@t50)) % 0.47/0.63 (step @p91 :rule eq_resolve :premises (@p89 @p86)) % 0.47/0.63 (step @p92 :rule implies_elim :premises (@p91)) % 0.47/0.63 (step @p93 :rule eq_resolve :premises (@p92 @p78)) % 0.47/0.63 (step @p94 :rule chain_m_resolution :premises (@p93 @p75) :args (@t46 @t51 (@list @t42))) % 0.47/0.63 (step @p95 :rule eq-symm :args (@t45 @t43)) % 0.47/0.63 (step @p96 :rule bool-eq-true :args (@t43)) % 0.47/0.63 (step @p97 :rule eq-symm :args (true @t43)) % 0.47/0.63 (step @p98 :rule trans :premises (@p97 @p96)) % 0.47/0.63 (step @p99 :rule cong :premises (@p80 @p98) :args (@t52)) % 0.47/0.63 (step @p100 :rule trans :premises (@p99 @p95)) % 0.47/0.63 (step @p101 :rule cong :premises (@p76 @p100) :args ((=> @t46 @t52))) % 0.47/0.63 (assume-push @p144 @t46) % 0.47/0.63 (step @p103 :rule instantiate :premises (@p94) :args (@t51)) % 0.47/0.63 (step-pop @p145 :rule scope :premises (@p103)) % 0.47/0.63 (step @p104 :rule process_scope :premises (@p145) :args (@t52)) % 0.47/0.63 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 0.47/0.63 (step @p107 :rule implies_elim :premises (@p106)) % 0.47/0.63 (step @p108 :rule chain_m_resolution :premises (@p107 @p94) :args (@t53 (@list false) (@list @t46))) % 0.47/0.63 (step @p109 :rule cnf_equiv_pos1 :args (@t53)) % 0.47/0.63 (step @p110 :rule reordering :premises (@p109) :args ((or @t45 @t55 @t54))) % 0.47/0.63 (step @p111 :rule cnf_equiv_pos2 :args (@t56)) % 0.47/0.63 (step @p112 :rule reordering :premises (@p111) :args ((or @t44 @t55 (not @t56)))) % 0.47/0.63 (step @p113 :rule instantiate :premises (@p94) :args ((@list @t44))) % 0.47/0.64 (step @p114 :rule refl :args (@t56)) % 0.47/0.64 (step @p115 :rule bool-double-not-elim :args (@t44)) % 0.47/0.64 (step @p116 :rule refl :args (@t58)) % 0.47/0.64 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114) :args ((or @t58 @t59 @t56))) % 0.47/0.64 (step @p118 :rule cnf_equiv_pos1 :args (@t57)) % 0.47/0.64 (step @p119 :rule eq_resolve :premises (@p118 @p117)) % 0.47/0.64 (step @p120 :rule reordering :premises (@p119) :args ((or @t44 @t56 @t58))) % 0.47/0.64 (step @p121 :rule chain_m_resolution :premises (@p120 @p113 @p112 @p110 @p108) :args (@t55 (@list false true true false) (@list @t57 @t56 @t44 @t53))) % 0.47/0.64 (step @p122 :rule refl :args (@t43)) % 0.47/0.64 (step @p123 :rule refl :args (@t54)) % 0.47/0.64 (step @p124 :rule nary_cong :premises (@p123 @p122 @p115) :args ((or @t54 @t43 @t59))) % 0.47/0.64 (step @p125 :rule cnf_equiv_pos2 :args (@t53)) % 0.47/0.64 (step @p126 :rule eq_resolve :premises (@p125 @p124)) % 0.47/0.64 (step @p127 :rule reordering :premises (@p126) :args ((or @t44 @t43 @t54))) % 0.47/0.64 (step @p128 :rule chain_m_resolution :premises (@p127 @p121 @p108) :args (@t44 (@list true false) (@list @t43 @t53))) % 0.47/0.64 (step @p129 :rule bool-eq-true :args (@t45)) % 0.47/0.64 (step @p130 :rule eq-refl :args (@t43)) % 0.47/0.64 (step @p131 :rule cong :premises (@p80 @p130) :args (@t60)) % 0.47/0.64 (step @p132 :rule trans :premises (@p131 @p129)) % 0.47/0.64 (step @p133 :rule cong :premises (@p76 @p132) :args ((=> @t46 @t60))) % 0.47/0.64 (assume-push @p146 @t46) % 0.47/0.64 (step @p135 :rule instantiate :premises (@p94) :args ((@list @t43))) % 0.47/0.64 (step-pop @p147 :rule scope :premises (@p135)) % 0.47/0.64 (step @p136 :rule process_scope :premises (@p147) :args (@t60)) % 0.47/0.64 (step @p138 :rule eq_resolve :premises (@p136 @p133)) % 0.47/0.64 (step @p139 :rule implies_elim :premises (@p138)) % 0.47/0.64 (step @p140 :rule reordering :premises (@p139) :args ((or @t45 (not @t46)))) % 0.47/0.64 (step @p141 false :rule chain_m_resolution :premises (@p140 @p128 @p94) :args (false (@list false false) (@list @t44 @t46))) % 0.47/0.64 ) % 0.47/0.64 % SZS output end Proof % 0.47/0.64 % cvc5 exiting %------------------------------------------------------------------------------