%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO214^5 : 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 : n026.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 09:12:15 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO214^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n026.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 : Wed Jun 3 00:01:10 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.39/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.56 (define @t2 () (@var "R" (-> $$unsorted Bool))) % 0.39/0.56 (define @t3 () (_ @t2 @t1)) % 0.39/0.56 (define @t4 () (@var "S" (-> $$unsorted Bool))) % 0.39/0.56 (define @t5 () (_ @t4 @t1)) % 0.39/0.56 (define @t6 () (@list @t1)) % 0.39/0.56 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.39/0.56 (define @t8 () (= @t2 @t4)) % 0.39/0.56 (define @t9 () (=> @t8 @t7)) % 0.39/0.56 (define @t10 () (@list @t2 @t4)) % 0.39/0.56 (define @t11 () (forall @t10 @t9)) % 0.39/0.56 (define @t12 () (not @t11)) % 0.39/0.56 (define @t13 () (@var "BOUND_VARIABLE_7433" $$unsorted)) % 0.39/0.56 (define @t14 () (@list @t4 @t13)) % 0.39/0.56 (define @t15 () (_ @t4 @t13)) % 0.39/0.56 (define @t16 () (not @t15)) % 0.39/0.56 (define @t17 () (or @t16 @t15)) % 0.39/0.56 (define @t18 () (not (= @t4 @t4))) % 0.39/0.56 (define @t19 () (or @t18 @t16 @t15)) % 0.39/0.56 (define @t20 () (_ @t2 @t13)) % 0.39/0.56 (define @t21 () (not @t8)) % 0.39/0.56 (define @t22 () (or @t21 @t21 @t16 @t20)) % 0.39/0.56 (define @t23 () (@list @t2)) % 0.39/0.56 (define @t24 () (or @t21 @t16 @t20)) % 0.39/0.56 (define @t25 () (forall @t23 @t24)) % 0.39/0.56 (define @t26 () (forall @t14 @t25)) % 0.39/0.56 (define @t27 () (forall (@list @t4 @t13 @t2) @t24)) % 0.39/0.56 (define @t28 () (@list @t2 @t4 @t13)) % 0.39/0.56 (define @t29 () (or @t16 @t20)) % 0.39/0.56 (define @t30 () (or @t21 @t29)) % 0.39/0.56 (define @t31 () (forall @t28 @t30)) % 0.39/0.56 (define @t32 () (@list @t13)) % 0.39/0.56 (define @t33 () (forall @t32 @t30)) % 0.39/0.56 (define @t34 () (forall @t32 @t29)) % 0.39/0.56 (define @t35 () (or @t21 @t34)) % 0.39/0.56 (define @t36 () (_ @t2 @t1)) % 0.39/0.56 (define @t37 () (_ @t4 @t1)) % 0.39/0.56 (define @t38 () (forall @t6 (or (not @t37) @t36))) % 0.39/0.56 (define @t39 () (not @t5)) % 0.39/0.56 (define @t40 () (or @t39 @t3)) % 0.39/0.56 (assume @p1 @t12) % 0.39/0.56 (assume @p2 true) % 0.39/0.56 (step @p3 :rule evaluate :args ((not true))) % 0.39/0.56 (step @p4 :rule quant-unused-vars :args ((= (forall @t14 true) true))) % 0.39/0.56 (step @p5 :rule bool-or-taut2 :args (false @t15 false false)) % 0.39/0.56 (step @p6 :rule cong :premises (@p5) :args ((forall @t14 @t17))) % 0.39/0.56 (step @p7 :rule trans :premises (@p6 @p4)) % 0.39/0.56 (step @p8 :rule aci_norm :args ((= (or false @t16 @t15) @t17))) % 0.39/0.56 (step @p9 :rule refl :args (@t15)) % 0.39/0.56 (step @p10 :rule refl :args (@t16)) % 0.39/0.56 (step @p11 :rule eq-refl :args (@t4)) % 0.39/0.56 (step @p12 :rule cong :premises (@p11) :args (@t18)) % 0.39/0.56 (step @p13 :rule trans :premises (@p12 @p3)) % 0.39/0.56 (step @p14 :rule nary_cong :premises (@p13 @p10 @p9) :args (@t19)) % 0.39/0.56 (step @p15 :rule trans :premises (@p14 @p8)) % 0.39/0.56 (step @p16 :rule cong :premises (@p15) :args ((forall @t14 @t19))) % 0.39/0.56 (step @p17 :rule trans :premises (@p16 @p7)) % 0.39/0.56 (step @p18 :rule quant-var-elim-eq :args ((= (forall @t23 @t22) @t19))) % 0.39/0.56 (step @p19 :rule aci_norm :args ((= @t24 @t22))) % 0.39/0.56 (step @p20 :rule cong :premises (@p19) :args (@t25)) % 0.39/0.56 (step @p21 :rule trans :premises (@p20 @p18)) % 0.39/0.56 (step @p22 :rule cong :premises (@p21) :args (@t26)) % 0.39/0.56 (step @p23 :rule quant-merge-prenex :args ((= @t26 @t27))) % 0.39/0.56 (step @p24 :rule symm :premises (@p23)) % 0.39/0.56 (step @p25 :rule quant_var_reordering :args ((= (forall @t28 @t24) @t27))) % 0.39/0.56 (step @p26 :rule trans :premises (@p25 @p24 @p22)) % 0.39/0.56 (step @p27 :rule trans :premises (@p26 @p17)) % 0.39/0.56 (step @p28 :rule aci_norm :args ((= @t30 @t24))) % 0.39/0.56 (step @p29 :rule cong :premises (@p28) :args (@t31)) % 0.39/0.56 (step @p30 :rule trans :premises (@p29 @p27)) % 0.39/0.56 (step @p31 :rule quant-merge-prenex :args ((= (forall @t10 @t33) @t31))) % 0.39/0.56 (step @p32 :rule alpha_equiv :args (@t34 (@list @t13) (@list @t1))) % 0.39/0.56 (step @p33 :rule refl :args (@t21)) % 0.39/0.56 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t35)) % 0.39/0.56 (step @p35 :rule quant-miniscope-or :args ((= @t33 @t35))) % 0.39/0.56 (step @p36 :rule trans :premises (@p35 @p34)) % 0.39/0.56 (step @p37 :rule symm :premises (@p36)) % 0.39/0.56 (step @p38 :rule cong :premises (@p37) :args ((forall @t10 (or @t21 @t38)))) % 0.39/0.56 (step @p39 :rule trans :premises (@p38 @p31)) % 0.39/0.56 (step @p40 :rule trans :premises (@p39 @p30)) % 0.39/0.56 (step @p41 :rule bool-impl-elim :args (@t8 @t38)) % 0.39/0.56 (step @p42 :rule cong :premises (@p41) :args ((forall @t10 (=> @t8 @t38)))) % 0.39/0.56 (step @p43 :rule trans :premises (@p42 @p40)) % 0.39/0.56 (step @p44 :rule refl :args (@t36)) % 0.39/0.56 (step @p45 :rule refl :args (@t3)) % 0.39/0.56 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t3 @t36))) % 0.39/0.56 (step @p47 :rule symm :premises (@p46)) % 0.39/0.56 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 0.39/0.56 (step @p49 :rule refl :args (@t37)) % 0.39/0.57 (step @p50 :rule refl :args (@t5)) % 0.39/0.57 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t5 @t37))) % 0.39/0.57 (step @p52 :rule symm :premises (@p51)) % 0.39/0.57 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 0.39/0.57 (step @p54 :rule cong :premises (@p53) :args (@t39)) % 0.39/0.57 (step @p55 :rule nary_cong :premises (@p54 @p48) :args (@t40)) % 0.39/0.57 (step @p56 :rule cong :premises (@p55) :args ((forall @t6 @t40))) % 0.39/0.57 (step @p57 :rule bool-impl-elim :args (@t5 @t3)) % 0.39/0.57 (step @p58 :rule cong :premises (@p57) :args (@t7)) % 0.39/0.57 (step @p59 :rule trans :premises (@p58 @p56)) % 0.39/0.57 (step @p60 :rule refl :args (@t8)) % 0.39/0.57 (step @p61 :rule cong :premises (@p60 @p59) :args (@t9)) % 0.39/0.57 (step @p62 :rule cong :premises (@p61) :args (@t11)) % 0.39/0.57 (step @p63 :rule trans :premises (@p62 @p43)) % 0.39/0.57 (step @p64 :rule cong :premises (@p63) :args (@t12)) % 0.39/0.57 (step @p65 :rule trans :premises (@p64 @p3)) % 0.39/0.57 (step @p66 false :rule eq_resolve :premises (@p1 @p65)) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------