%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO007^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 09:11:46 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYO007^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.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 23:50:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (define tptp.leibeq () (let ((_let_1 (@var "V" Bool))) (let ((_let_2 (@var "Q" (-> Bool Bool)))) (let ((_let_3 (@var "U" Bool))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ _let_2 _let_3) (_ _let_2 _let_1)))))))) % 0.38/0.56 (define @t1 () (@var "B" Bool)) % 0.38/0.56 (define @t2 () (@var "A" Bool)) % 0.38/0.56 (define @t3 () (= @t2 @t1)) % 0.38/0.56 (define @t4 () (=> @t3 (_ (_ tptp.leibeq @t2) @t1))) % 0.38/0.56 (define @t5 () (@list @t2 @t1)) % 0.38/0.56 (define @t6 () (forall @t5 @t4)) % 0.38/0.56 (define @t7 () (not @t6)) % 0.38/0.56 (define @t8 () (@var "V" Bool)) % 0.38/0.56 (define @t9 () (@var "Q" (-> Bool Bool))) % 0.38/0.56 (define @t10 () (_ @t9 @t8)) % 0.38/0.56 (define @t11 () (@var "U" Bool)) % 0.38/0.56 (define @t12 () (_ @t9 @t11)) % 0.38/0.56 (define @t13 () (@list @t9)) % 0.38/0.56 (define @t14 () (forall @t13 (=> @t12 @t10))) % 0.38/0.56 (define @t15 () (@list @t11 @t8)) % 0.38/0.56 (define @t16 () (lambda @t15 @t14)) % 0.38/0.56 (define @t17 () (@var "BOUND_VARIABLE_7473" (-> Bool Bool))) % 0.38/0.56 (define @t18 () (@list @t1 @t17)) % 0.38/0.56 (define @t19 () (_ @t17 @t1)) % 0.38/0.56 (define @t20 () (not @t19)) % 0.38/0.56 (define @t21 () (or @t20 @t19)) % 0.38/0.56 (define @t22 () (or (= @t1 (not @t1)) @t20 @t19)) % 0.38/0.56 (define @t23 () (not (_ @t17 @t2))) % 0.38/0.56 (define @t24 () (not @t2)) % 0.38/0.56 (define @t25 () (= @t1 @t24)) % 0.38/0.56 (define @t26 () (not @t3)) % 0.38/0.56 (define @t27 () (@list @t2)) % 0.38/0.56 (define @t28 () (not @t24)) % 0.38/0.56 (define @t29 () (or @t25 @t25 @t23 @t19)) % 0.38/0.56 (define @t30 () (or @t25 @t23 @t19)) % 0.38/0.56 (define @t31 () (forall @t27 @t30)) % 0.38/0.56 (define @t32 () (forall @t18 @t31)) % 0.38/0.56 (define @t33 () (forall (@list @t1 @t17 @t2) @t30)) % 0.38/0.56 (define @t34 () (@list @t2 @t1 @t17)) % 0.38/0.56 (define @t35 () (or @t23 @t19)) % 0.38/0.56 (define @t36 () (or @t25 @t35)) % 0.38/0.56 (define @t37 () (forall @t34 @t36)) % 0.38/0.56 (define @t38 () (@list @t17)) % 0.38/0.56 (define @t39 () (forall @t38 @t36)) % 0.38/0.56 (define @t40 () (forall @t38 @t35)) % 0.38/0.56 (define @t41 () (or @t25 @t40)) % 0.38/0.56 (define @t42 () (not (_ @t9 @t2))) % 0.38/0.56 (define @t43 () (forall @t13 (or @t42 (_ @t9 @t1)))) % 0.38/0.56 (define @t44 () (or (= @t24 @t1) @t43)) % 0.38/0.56 (define @t45 () (_ @t9 @t8)) % 0.38/0.56 (define @t46 () (lambda (@list @t8) (forall @t13 (or @t42 @t45)))) % 0.38/0.56 (define @t47 () (_ @t9 @t11)) % 0.38/0.56 (define @t48 () (_ (lambda @t15 (forall @t13 (or (not @t47) @t45))) @t2)) % 0.38/0.56 (define @t49 () (=> @t3 (_ @t48 @t1))) % 0.38/0.56 (define @t50 () (forall @t5 @t49)) % 0.38/0.56 (define @t51 () (not @t12)) % 0.38/0.56 (define @t52 () (or @t51 @t10)) % 0.38/0.56 (assume @p1 @t7) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 (= tptp.leibeq @t16) :rule refl :args (@t16)) % 0.38/0.56 (step @p4 :rule evaluate :args ((not true))) % 0.38/0.56 (step @p5 :rule quant-unused-vars :args ((= (forall @t18 true) true))) % 0.38/0.56 (step @p6 :rule bool-or-taut2 :args (false @t19 false false)) % 0.38/0.56 (step @p7 :rule cong :premises (@p6) :args ((forall @t18 @t21))) % 0.38/0.56 (step @p8 :rule trans :premises (@p7 @p5)) % 0.38/0.56 (step @p9 :rule aci_norm :args ((= (or false @t20 @t19) @t21))) % 0.38/0.56 (step @p10 :rule refl :args (@t19)) % 0.38/0.56 (step @p11 :rule refl :args (@t20)) % 0.38/0.56 (step @p12 :rule bool-eq-nrefl :args (@t1)) % 0.38/0.56 (step @p13 :rule nary_cong :premises (@p12 @p11 @p10) :args (@t22)) % 0.38/0.56 (step @p14 :rule trans :premises (@p13 @p9)) % 0.38/0.56 (step @p15 :rule cong :premises (@p14) :args ((forall @t18 @t22))) % 0.38/0.56 (step @p16 :rule trans :premises (@p15 @p8)) % 0.38/0.56 (step @p17 :rule quant-var-elim-eq :args ((= (forall @t27 (or @t26 @t25 @t23 @t19)) @t22))) % 0.38/0.56 (step @p18 :rule refl :args (@t19)) % 0.38/0.56 (step @p19 :rule refl :args (@t23)) % 0.38/0.56 (step @p20 :rule refl :args (@t25)) % 0.38/0.56 (step @p21 :rule refl :args (@t1)) % 0.38/0.56 (step @p22 :rule bool-double-not-elim :args (@t2)) % 0.38/0.56 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t28 @t1))) % 0.38/0.56 (step @p24 :rule eq-symm :args (@t1 @t28)) % 0.38/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.38/0.56 (step @p26 :rule bool-not-eq-elim2 :args (@t1 @t24)) % 0.38/0.56 (step @p27 :rule trans :premises (@p26 @p25)) % 0.38/0.56 (step @p28 :rule cong :premises (@p27) :args ((not (not @t25)))) % 0.38/0.56 (step @p29 :rule bool-double-not-elim :args (@t25)) % 0.38/0.56 (step @p30 :rule symm :premises (@p29)) % 0.38/0.56 (step @p31 :rule trans :premises (@p30 @p28)) % 0.38/0.56 (step @p32 :rule nary_cong :premises (@p31 @p20 @p19 @p18) :args (@t29)) % 0.38/0.56 (step @p33 :rule aci_norm :args ((= @t30 @t29))) % 0.38/0.56 (step @p34 :rule trans :premises (@p33 @p32)) % 0.38/0.56 (step @p35 :rule cong :premises (@p34) :args (@t31)) % 0.38/0.56 (step @p36 :rule trans :premises (@p35 @p17)) % 0.38/0.56 (step @p37 :rule cong :premises (@p36) :args (@t32)) % 0.38/0.56 (step @p38 :rule quant-merge-prenex :args ((= @t32 @t33))) % 0.38/0.56 (step @p39 :rule symm :premises (@p38)) % 0.38/0.56 (step @p40 :rule quant_var_reordering :args ((= (forall @t34 @t30) @t33))) % 0.38/0.56 (step @p41 :rule trans :premises (@p40 @p39 @p37)) % 0.38/0.56 (step @p42 :rule trans :premises (@p41 @p16)) % 0.38/0.56 (step @p43 :rule aci_norm :args ((= @t36 @t30))) % 0.38/0.56 (step @p44 :rule cong :premises (@p43) :args (@t37)) % 0.38/0.56 (step @p45 :rule trans :premises (@p44 @p42)) % 0.38/0.56 (step @p46 :rule quant-merge-prenex :args ((= (forall @t5 @t39) @t37))) % 0.38/0.56 (step @p47 :rule alpha_equiv :args (@t40 (@list @t17) (@list @t9))) % 0.38/0.56 (step @p48 :rule nary_cong :premises (@p20 @p47) :args (@t41)) % 0.38/0.56 (step @p49 :rule quant-miniscope-or :args ((= @t39 @t41))) % 0.38/0.56 (step @p50 :rule trans :premises (@p49 @p48)) % 0.38/0.56 (step @p51 :rule symm :premises (@p50)) % 0.38/0.56 (step @p52 :rule cong :premises (@p51) :args ((forall @t5 (or @t25 @t43)))) % 0.38/0.56 (step @p53 :rule trans :premises (@p52 @p46)) % 0.38/0.56 (step @p54 :rule trans :premises (@p53 @p45)) % 0.38/0.56 (step @p55 :rule refl :args (@t43)) % 0.38/0.56 (step @p56 :rule eq-symm :args (@t24 @t1)) % 0.38/0.56 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t44)) % 0.38/0.56 (step @p58 :rule cong :premises (@p57) :args ((forall @t5 @t44))) % 0.38/0.56 (step @p59 :rule trans :premises (@p58 @p54)) % 0.38/0.56 (step @p60 :rule refl :args (@t43)) % 0.38/0.56 (step @p61 :rule bool-not-eq-elim1 :args (@t2 @t1)) % 0.38/0.56 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t26 @t43))) % 0.38/0.56 (step @p63 :rule bool-impl-elim :args (@t3 @t43)) % 0.38/0.56 (step @p64 :rule trans :premises (@p63 @p62)) % 0.38/0.56 (step @p65 :rule cong :premises (@p64) :args ((forall @t5 (=> @t3 @t43)))) % 0.38/0.56 (step @p66 :rule trans :premises (@p65 @p59)) % 0.38/0.56 (step @p67 :rule beta-reduce :args ((= (_ @t46 @t1) @t43))) % 0.38/0.56 (step @p68 :rule refl :args (@t1)) % 0.38/0.56 (step @p69 :rule beta-reduce :args ((= @t48 @t46))) % 0.38/0.56 (step @p70 :rule ho_cong :premises (@p69 @p68)) % 0.38/0.56 (step @p71 :rule trans :premises (@p70 @p67)) % 0.38/0.56 (step @p72 :rule refl :args (@t3)) % 0.38/0.56 (step @p73 :rule cong :premises (@p72 @p71) :args (@t49)) % 0.38/0.56 (step @p74 :rule cong :premises (@p73) :args (@t50)) % 0.38/0.56 (step @p75 :rule trans :premises (@p74 @p66)) % 0.38/0.56 (step @p76 :rule cong :premises (@p75) :args ((not @t50))) % 0.38/0.56 (step @p77 :rule trans :premises (@p76 @p4)) % 0.38/0.56 (step @p78 :rule refl :args (@t2)) % 0.38/0.56 (step @p79 :rule refl :args (@t45)) % 0.38/0.56 (step @p80 :rule refl :args (@t10)) % 0.38/0.56 (step @p81 :rule cong :premises (@p80 @p79) :args ((= @t10 @t45))) % 0.38/0.56 (step @p82 :rule symm :premises (@p81)) % 0.38/0.56 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 0.38/0.56 (step @p84 :rule refl :args (@t47)) % 0.38/0.56 (step @p85 :rule refl :args (@t12)) % 0.38/0.56 (step @p86 :rule cong :premises (@p85 @p84) :args ((= @t12 @t47))) % 0.38/0.56 (step @p87 :rule symm :premises (@p86)) % 0.38/0.56 (step @p88 :rule eq_resolve :premises (@p85 @p87)) % 0.38/0.56 (step @p89 :rule cong :premises (@p88) :args (@t51)) % 0.38/0.56 (step @p90 :rule nary_cong :premises (@p89 @p83) :args (@t52)) % 0.38/0.56 (step @p91 :rule cong :premises (@p90) :args ((forall @t13 @t52))) % 0.38/0.56 (step @p92 :rule bool-impl-elim :args (@t12 @t10)) % 0.38/0.56 (step @p93 :rule cong :premises (@p92) :args (@t14)) % 0.38/0.56 (step @p94 :rule trans :premises (@p93 @p91)) % 0.38/0.56 (step @p95 :rule cong :premises (@p94) :args (@t16)) % 0.38/0.56 (step @p96 :rule trans :premises (@p3 @p95)) % 0.38/0.56 (step @p97 :rule ho_cong :premises (@p96 @p78)) % 0.38/0.56 (step @p98 :rule ho_cong :premises (@p97 @p68)) % 0.38/0.56 (step @p99 :rule cong :premises (@p72 @p98) :args (@t4)) % 0.38/0.56 (step @p100 :rule cong :premises (@p99) :args (@t6)) % 0.38/0.56 (step @p101 :rule cong :premises (@p100) :args (@t7)) % 0.38/0.56 (step @p102 :rule trans :premises (@p101 @p77)) % 0.38/0.56 (step @p103 false :rule eq_resolve :premises (@p1 @p102)) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------