%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO311^5 : 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 : 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 09:12:25 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO311^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n005.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 00:02:48 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.50 %----Proving TH0 % 0.37/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (define @t1 () (=> true true)) % 0.37/0.60 (define @t2 () (@var "Xm" (-> Bool Bool))) % 0.37/0.60 (define @t3 () (_ @t2 true)) % 0.37/0.60 (define @t4 () (= @t3 (_ @t2 @t1))) % 0.37/0.60 (define @t5 () (@list @t2)) % 0.37/0.60 (define @t6 () (forall @t5 @t4)) % 0.37/0.60 (define @t7 () (@var "Xop" (-> Bool Bool Bool))) % 0.37/0.60 (define @t8 () (_ @t7 true)) % 0.37/0.60 (define @t9 () (_ @t8 false)) % 0.37/0.60 (define @t10 () (not @t9)) % 0.37/0.60 (define @t11 () (_ @t7 false)) % 0.37/0.60 (define @t12 () (_ @t11 true)) % 0.37/0.60 (define @t13 () (not @t12)) % 0.37/0.60 (define @t14 () (_ @t11 false)) % 0.37/0.60 (define @t15 () (not @t14)) % 0.37/0.60 (define @t16 () (_ @t8 true)) % 0.37/0.60 (define @t17 () (and @t16 @t15 @t13 @t10)) % 0.37/0.60 (define @t18 () (@list @t7)) % 0.37/0.60 (define @t19 () (exists @t18 @t17)) % 0.37/0.60 (define @t20 () (and @t19 @t6)) % 0.37/0.60 (define @t21 () (not @t20)) % 0.37/0.60 (define @t22 () (_ @t7 true false)) % 0.37/0.60 (define @t23 () (_ @t7 false true)) % 0.37/0.60 (define @t24 () (_ @t7 false false)) % 0.37/0.60 (define @t25 () (_ @t7 true true)) % 0.37/0.60 (define @t26 () (forall @t18 (or (not @t25) @t24 @t23 @t22))) % 0.37/0.60 (define @t27 () (not @t26)) % 0.37/0.60 (define @t28 () (not @t16)) % 0.37/0.60 (define @t29 () (or @t28 @t14 @t12 @t9)) % 0.37/0.60 (define @t30 () (not @t10)) % 0.37/0.60 (define @t31 () (not @t13)) % 0.37/0.60 (define @t32 () (not @t15)) % 0.37/0.60 (define @t33 () (or @t28 @t32 @t31 @t30)) % 0.37/0.60 (define @t34 () (forall @t18 (not @t17))) % 0.37/0.60 (define @t35 () (not @t34)) % 0.37/0.60 (define @t36 () (= false false)) % 0.37/0.60 (define @t37 () (not @t36)) % 0.37/0.60 (define @t38 () (ite @t36 false true)) % 0.37/0.60 (define @t39 () (= true true)) % 0.37/0.60 (define @t40 () (and @t39 @t38)) % 0.37/0.60 (define @t41 () (ite @t39 @t38 false)) % 0.37/0.60 (define @t42 () (@var "BOUND_VARIABLE_14764" Bool)) % 0.37/0.60 (define @t43 () (@var "BOUND_VARIABLE_14762" Bool)) % 0.37/0.60 (define @t44 () (lambda (@list @t43 @t42) (ite (= @t43 true) (ite (= @t42 false) false true) false))) % 0.37/0.60 (define @t45 () (_ @t44 true false)) % 0.37/0.60 (define @t46 () (= true false)) % 0.37/0.60 (define @t47 () (not @t46)) % 0.37/0.60 (define @t48 () (ite @t46 false true)) % 0.37/0.60 (define @t49 () (= false true)) % 0.37/0.60 (define @t50 () (and @t49 @t48)) % 0.37/0.60 (define @t51 () (ite @t49 @t48 false)) % 0.37/0.60 (define @t52 () (_ @t44 false true)) % 0.37/0.60 (define @t53 () (and @t49 @t38)) % 0.37/0.60 (define @t54 () (ite @t49 @t38 false)) % 0.37/0.60 (define @t55 () (_ @t44 false false)) % 0.37/0.60 (define @t56 () (and @t39 @t48)) % 0.37/0.60 (define @t57 () (ite @t39 @t48 false)) % 0.37/0.60 (define @t58 () (_ @t44 true true)) % 0.37/0.60 (define @t59 () (not @t58)) % 0.37/0.60 (define @t60 () (or @t59 @t55 @t52 @t45)) % 0.37/0.60 (assume @p1 @t21) % 0.37/0.60 (assume @p2 true) % 0.37/0.60 (step @p3 :rule bool-double-not-elim :args (@t26)) % 0.37/0.60 (step @p4 :rule aci_norm :args ((= (and @t27 true) @t27))) % 0.37/0.60 (step @p5 :rule quant-unused-vars :args ((= (forall @t5 true) true))) % 0.37/0.60 (step @p6 :rule eq-refl :args (@t3)) % 0.37/0.60 (step @p7 :rule evaluate :args (@t1)) % 0.37/0.60 (step @p8 :rule refl :args (@t2)) % 0.37/0.60 (step @p9 :rule ho_cong :premises (@p8 @p7)) % 0.37/0.60 (step @p10 :rule refl :args (@t3)) % 0.37/0.60 (step @p11 :rule cong :premises (@p10 @p9) :args (@t4)) % 0.37/0.60 (step @p12 :rule trans :premises (@p11 @p6)) % 0.37/0.60 (step @p13 :rule cong :premises (@p12) :args (@t6)) % 0.37/0.60 (step @p14 :rule trans :premises (@p13 @p5)) % 0.37/0.60 (step @p15 :rule refl :args (@t22)) % 0.37/0.60 (step @p16 :rule refl :args (@t9)) % 0.37/0.60 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t9 @t22))) % 0.37/0.60 (step @p18 :rule symm :premises (@p17)) % 0.37/0.60 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.37/0.60 (step @p20 :rule refl :args (@t23)) % 0.37/0.60 (step @p21 :rule refl :args (@t12)) % 0.37/0.60 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t12 @t23))) % 0.37/0.60 (step @p23 :rule symm :premises (@p22)) % 0.37/0.60 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.37/0.60 (step @p25 :rule refl :args (@t24)) % 0.37/0.60 (step @p26 :rule refl :args (@t14)) % 0.37/0.60 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t14 @t24))) % 0.37/0.60 (step @p28 :rule symm :premises (@p27)) % 0.37/0.60 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.37/0.60 (step @p30 :rule refl :args (@t25)) % 0.37/0.60 (step @p31 :rule refl :args (@t16)) % 0.37/0.60 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t16 @t25))) % 0.37/0.60 (step @p33 :rule symm :premises (@p32)) % 0.37/0.60 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.37/0.60 (step @p35 :rule cong :premises (@p34) :args (@t28)) % 0.37/0.60 (step @p36 :rule nary_cong :premises (@p35 @p29 @p24 @p19) :args (@t29)) % 0.37/0.60 (step @p37 :rule cong :premises (@p36) :args ((forall @t18 @t29))) % 0.37/0.60 (step @p38 :rule bool-double-not-elim :args (@t9)) % 0.37/0.60 (step @p39 :rule bool-double-not-elim :args (@t12)) % 0.37/0.60 (step @p40 :rule bool-double-not-elim :args (@t14)) % 0.37/0.60 (step @p41 :rule refl :args (@t28)) % 0.37/0.60 (step @p42 :rule nary_cong :premises (@p41 @p40 @p39 @p38) :args (@t33)) % 0.37/0.60 (step @p43 :rule aci_norm :args ((= (or @t28 (or @t32 (or @t31 @t30))) @t33))) % 0.37/0.60 (step @p44 :rule trans :premises (@p43 @p42)) % 0.37/0.60 (step @p45 :rule bool-and-de-morgan :args (@t13 @t10 true)) % 0.37/0.60 (step @p46 :rule refl :args (@t32)) % 0.37/0.60 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t32 (not (and @t13 @t10))))) % 0.37/0.60 (step @p48 :rule bool-and-de-morgan :args (@t15 @t13 (and @t10))) % 0.37/0.60 (step @p49 :rule trans :premises (@p48 @p47)) % 0.37/0.60 (step @p50 :rule nary_cong :premises (@p41 @p49) :args ((or @t28 (not (and @t15 @t13 @t10))))) % 0.37/0.60 (step @p51 :rule bool-and-de-morgan :args (@t16 @t15 (and @t13 @t10))) % 0.37/0.60 (step @p52 :rule trans :premises (@p51 @p50)) % 0.37/0.60 (step @p53 :rule trans :premises (@p52 @p44)) % 0.37/0.60 (step @p54 :rule cong :premises (@p53) :args (@t34)) % 0.37/0.60 (step @p55 :rule trans :premises (@p54 @p37)) % 0.37/0.60 (step @p56 :rule cong :premises (@p55) :args (@t35)) % 0.37/0.60 (step @p57 :rule exists-elim :args ((= @t19 @t35))) % 0.37/0.60 (step @p58 :rule trans :premises (@p57 @p56)) % 0.37/0.60 (step @p59 :rule nary_cong :premises (@p58 @p14) :args (@t20)) % 0.37/0.60 (step @p60 :rule trans :premises (@p59 @p4)) % 0.37/0.60 (step @p61 :rule cong :premises (@p60) :args (@t21)) % 0.37/0.60 (step @p62 :rule trans :premises (@p61 @p3)) % 0.37/0.60 (step @p63 :rule eq_resolve :premises (@p1 @p62)) % 0.37/0.60 (step @p64 :rule bool-impl-false1 :args (@t26)) % 0.37/0.60 (step @p65 :rule evaluate :args ((or false false false false))) % 0.37/0.60 (step @p66 :rule evaluate :args ((and true false))) % 0.37/0.60 (step @p67 :rule evaluate :args ((not true))) % 0.37/0.60 (step @p68 :rule evaluate :args (@t36)) % 0.37/0.60 (step @p69 :rule cong :premises (@p68) :args (@t37)) % 0.37/0.60 (step @p70 :rule trans :premises (@p69 @p67)) % 0.37/0.60 (step @p71 :rule evaluate :args (@t37)) % 0.37/0.60 (step @p72 :rule symm :premises (@p71)) % 0.37/0.60 (step @p73 :rule evaluate :args (@t38)) % 0.37/0.60 (step @p74 :rule trans :premises (@p73 @p72)) % 0.37/0.60 (step @p75 :rule trans :premises (@p74 @p70)) % 0.37/0.60 (step @p76 :rule evaluate :args (@t39)) % 0.37/0.60 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t40)) % 0.37/0.60 (step @p78 :rule trans :premises (@p77 @p66)) % 0.37/0.60 (step @p79 :rule evaluate :args (@t40)) % 0.37/0.60 (step @p80 :rule symm :premises (@p79)) % 0.37/0.60 (step @p81 :rule evaluate :args (@t41)) % 0.37/0.60 (step @p82 :rule trans :premises (@p81 @p80)) % 0.37/0.60 (step @p83 :rule trans :premises (@p82 @p78)) % 0.37/0.60 (step @p84 :rule beta-reduce :args ((= @t45 @t41))) % 0.37/0.60 (step @p85 :rule trans :premises (@p84 @p83)) % 0.37/0.60 (step @p86 :rule evaluate :args ((and false true))) % 0.37/0.60 (step @p87 :rule evaluate :args ((not false))) % 0.37/0.60 (step @p88 :rule evaluate :args (@t46)) % 0.37/0.60 (step @p89 :rule cong :premises (@p88) :args (@t47)) % 0.37/0.60 (step @p90 :rule trans :premises (@p89 @p87)) % 0.37/0.60 (step @p91 :rule evaluate :args (@t47)) % 0.37/0.60 (step @p92 :rule symm :premises (@p91)) % 0.37/0.60 (step @p93 :rule evaluate :args (@t48)) % 0.37/0.60 (step @p94 :rule trans :premises (@p93 @p92)) % 0.37/0.60 (step @p95 :rule trans :premises (@p94 @p90)) % 0.37/0.60 (step @p96 :rule evaluate :args (@t49)) % 0.37/0.60 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t50)) % 0.37/0.60 (step @p98 :rule trans :premises (@p97 @p86)) % 0.37/0.60 (step @p99 :rule evaluate :args (@t50)) % 0.37/0.60 (step @p100 :rule symm :premises (@p99)) % 0.37/0.60 (step @p101 :rule evaluate :args (@t51)) % 0.37/0.60 (step @p102 :rule trans :premises (@p101 @p100)) % 0.37/0.60 (step @p103 :rule trans :premises (@p102 @p98)) % 0.37/0.60 (step @p104 :rule beta-reduce :args ((= @t52 @t51))) % 0.37/0.60 (step @p105 :rule trans :premises (@p104 @p103)) % 0.37/0.60 (step @p106 :rule evaluate :args ((and false false))) % 0.37/0.60 (step @p107 :rule nary_cong :premises (@p96 @p75) :args (@t53)) % 0.37/0.60 (step @p108 :rule trans :premises (@p107 @p106)) % 0.37/0.60 (step @p109 :rule evaluate :args (@t53)) % 0.37/0.60 (step @p110 :rule symm :premises (@p109)) % 0.37/0.60 (step @p111 :rule evaluate :args (@t54)) % 0.37/0.60 (step @p112 :rule trans :premises (@p111 @p110)) % 0.37/0.60 (step @p113 :rule trans :premises (@p112 @p108)) % 0.37/0.60 (step @p114 :rule beta-reduce :args ((= @t55 @t54))) % 0.37/0.60 (step @p115 :rule trans :premises (@p114 @p113)) % 0.37/0.60 (step @p116 :rule evaluate :args ((and true true))) % 0.37/0.60 (step @p117 :rule nary_cong :premises (@p76 @p95) :args (@t56)) % 0.37/0.60 (step @p118 :rule trans :premises (@p117 @p116)) % 0.37/0.60 (step @p119 :rule evaluate :args (@t56)) % 0.37/0.60 (step @p120 :rule symm :premises (@p119)) % 0.37/0.60 (step @p121 :rule evaluate :args (@t57)) % 0.37/0.60 (step @p122 :rule trans :premises (@p121 @p120)) % 0.37/0.60 (step @p123 :rule trans :premises (@p122 @p118)) % 0.37/0.60 (step @p124 :rule beta-reduce :args ((= @t58 @t57))) % 0.37/0.60 (step @p125 :rule trans :premises (@p124 @p123)) % 0.37/0.60 (step @p126 :rule cong :premises (@p125) :args (@t59)) % 0.37/0.60 (step @p127 :rule trans :premises (@p126 @p67)) % 0.37/0.60 (step @p128 :rule nary_cong :premises (@p127 @p115 @p105 @p85) :args (@t60)) % 0.37/0.60 (step @p129 :rule trans :premises (@p128 @p65)) % 0.37/0.60 (step @p130 :rule refl :args (@t26)) % 0.37/0.60 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t26 @t60))) % 0.37/0.60 (step @p132 :rule trans :premises (@p131 @p64)) % 0.37/0.60 (assume-push @p139 @t26) % 0.37/0.60 (step @p134 :rule instantiate :premises (@p63) :args ((@list @t44))) % 0.37/0.60 (step-pop @p140 :rule scope :premises (@p134)) % 0.37/0.60 (step @p135 :rule process_scope :premises (@p140) :args (@t60)) % 0.37/0.60 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 0.37/0.60 (step @p138 false :rule chain_m_resolution :premises (@p137 @p63) :args (false (@list false) (@list @t26))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------