%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO382^5 : 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 : 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 09:12:32 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO382^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 00:06:10 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.31/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.cP (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.cQ (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.cS (-> $$unsorted Bool)) % 0.31/0.55 (define @t1 () (@var "Xu" $$unsorted)) % 0.31/0.55 (define @t2 () (_ tptp.cS @t1)) % 0.31/0.55 (define @t3 () (not @t2)) % 0.31/0.55 (define @t4 () (@list @t1)) % 0.31/0.55 (define @t5 () (exists @t4 @t3)) % 0.31/0.55 (define @t6 () (@var "Xy" $$unsorted)) % 0.31/0.55 (define @t7 () (@var "Xx" $$unsorted)) % 0.31/0.55 (define @t8 () (_ (_ tptp.cQ @t7) @t6)) % 0.31/0.55 (define @t9 () (not @t8)) % 0.31/0.55 (define @t10 () (_ tptp.cP @t7)) % 0.31/0.55 (define @t11 () (_ @t10 @t6)) % 0.31/0.55 (define @t12 () (@list @t7 @t6)) % 0.31/0.55 (define @t13 () (forall @t12 (=> @t11 @t9))) % 0.31/0.55 (define @t14 () (_ (_ tptp.cQ @t6) @t7)) % 0.31/0.55 (define @t15 () (@list @t6)) % 0.31/0.55 (define @t16 () (exists @t15 @t14)) % 0.31/0.55 (define @t17 () (_ tptp.cS @t7)) % 0.31/0.55 (define @t18 () (=> @t17 @t16)) % 0.31/0.55 (define @t19 () (@list @t7)) % 0.31/0.55 (define @t20 () (forall @t19 @t18)) % 0.31/0.55 (define @t21 () (@var "Xv" $$unsorted)) % 0.31/0.55 (define @t22 () (_ @t10 @t21)) % 0.31/0.55 (define @t23 () (forall @t19 @t22)) % 0.31/0.55 (define @t24 () (@list @t21)) % 0.31/0.55 (define @t25 () (exists @t24 @t23)) % 0.31/0.55 (define @t26 () (and @t25 @t20 @t13)) % 0.31/0.55 (define @t27 () (=> @t26 @t5)) % 0.31/0.55 (define @t28 () (=> @t27 @t27)) % 0.31/0.55 (define @t29 () (not @t28)) % 0.31/0.55 (define @t30 () (tptp.cS @t1)) % 0.31/0.55 (define @t31 () (forall @t4 (not @t3))) % 0.31/0.55 (define @t32 () (not @t31)) % 0.31/0.55 (define @t33 () (tptp.cQ @t7 @t6)) % 0.31/0.55 (define @t34 () (tptp.cP @t7 @t6)) % 0.31/0.55 (define @t35 () (not @t11)) % 0.31/0.55 (define @t36 () (or @t35 @t9)) % 0.31/0.55 (define @t37 () (tptp.cQ @t6 @t7)) % 0.31/0.55 (define @t38 () (not (forall @t15 (not @t37)))) % 0.31/0.55 (define @t39 () (tptp.cS @t7)) % 0.31/0.55 (define @t40 () (not @t17)) % 0.31/0.55 (define @t41 () (or @t40 @t38)) % 0.31/0.55 (define @t42 () (not @t14)) % 0.31/0.55 (define @t43 () (forall @t15 @t42)) % 0.31/0.55 (define @t44 () (not @t43)) % 0.31/0.55 (define @t45 () (tptp.cP @t7 @t21)) % 0.31/0.55 (define @t46 () (forall @t19 @t45)) % 0.31/0.55 (assume @p1 @t29) % 0.31/0.55 (assume @p2 true) % 0.31/0.55 (step @p3 :rule refl :args (@t30)) % 0.31/0.55 (step @p4 :rule refl :args (@t2)) % 0.31/0.55 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t30))) % 0.31/0.55 (step @p6 :rule symm :premises (@p5)) % 0.31/0.55 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.31/0.55 (step @p8 :rule cong :premises (@p7) :args ((forall @t4 @t2))) % 0.31/0.55 (step @p9 :rule bool-double-not-elim :args (@t2)) % 0.31/0.55 (step @p10 :rule cong :premises (@p9) :args (@t31)) % 0.31/0.55 (step @p11 :rule trans :premises (@p10 @p8)) % 0.31/0.55 (step @p12 :rule cong :premises (@p11) :args (@t32)) % 0.31/0.55 (step @p13 :rule exists-elim :args ((= @t5 @t32))) % 0.31/0.55 (step @p14 :rule trans :premises (@p13 @p12)) % 0.31/0.55 (step @p15 :rule refl :args (@t33)) % 0.31/0.55 (step @p16 :rule refl :args (@t8)) % 0.31/0.55 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t8 @t33))) % 0.31/0.55 (step @p18 :rule symm :premises (@p17)) % 0.31/0.55 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.31/0.55 (step @p20 :rule cong :premises (@p19) :args (@t9)) % 0.31/0.55 (step @p21 :rule refl :args (@t34)) % 0.31/0.55 (step @p22 :rule refl :args (@t11)) % 0.31/0.55 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t11 @t34))) % 0.31/0.55 (step @p24 :rule symm :premises (@p23)) % 0.31/0.55 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.31/0.55 (step @p26 :rule cong :premises (@p25) :args (@t35)) % 0.31/0.55 (step @p27 :rule nary_cong :premises (@p26 @p20) :args (@t36)) % 0.31/0.55 (step @p28 :rule cong :premises (@p27) :args ((forall @t12 @t36))) % 0.31/0.55 (step @p29 :rule bool-impl-elim :args (@t11 @t9)) % 0.31/0.55 (step @p30 :rule cong :premises (@p29) :args (@t13)) % 0.31/0.55 (step @p31 :rule trans :premises (@p30 @p28)) % 0.31/0.55 (step @p32 :rule refl :args (@t38)) % 0.31/0.55 (step @p33 :rule refl :args (@t39)) % 0.31/0.55 (step @p34 :rule refl :args (@t17)) % 0.31/0.55 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t17 @t39))) % 0.31/0.55 (step @p36 :rule symm :premises (@p35)) % 0.31/0.55 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.31/0.55 (step @p38 :rule cong :premises (@p37) :args (@t40)) % 0.31/0.55 (step @p39 :rule nary_cong :premises (@p38 @p32) :args (@t41)) % 0.31/0.55 (step @p40 :rule cong :premises (@p39) :args ((forall @t19 @t41))) % 0.31/0.55 (step @p41 :rule bool-impl-elim :args (@t17 @t38)) % 0.31/0.55 (step @p42 :rule cong :premises (@p41) :args ((forall @t19 (=> @t17 @t38)))) % 0.31/0.55 (step @p43 :rule trans :premises (@p42 @p40)) % 0.31/0.55 (step @p44 :rule refl :args (@t37)) % 0.31/0.55 (step @p45 :rule refl :args (@t14)) % 0.31/0.55 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t14 @t37))) % 0.31/0.55 (step @p47 :rule symm :premises (@p46)) % 0.31/0.55 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 0.31/0.55 (step @p49 :rule cong :premises (@p48) :args (@t42)) % 0.31/0.55 (step @p50 :rule cong :premises (@p49) :args (@t43)) % 0.31/0.55 (step @p51 :rule cong :premises (@p50) :args (@t44)) % 0.31/0.55 (step @p52 :rule exists-elim :args ((= @t16 @t44))) % 0.31/0.55 (step @p53 :rule trans :premises (@p52 @p51)) % 0.31/0.55 (step @p54 :rule refl :args (@t17)) % 0.31/0.55 (step @p55 :rule cong :premises (@p54 @p53) :args (@t18)) % 0.31/0.55 (step @p56 :rule cong :premises (@p55) :args (@t20)) % 0.31/0.55 (step @p57 :rule trans :premises (@p56 @p43)) % 0.31/0.55 (step @p58 :rule exists-elim :args ((= (exists @t24 @t46) (not (forall @t24 (not @t46)))))) % 0.31/0.55 (step @p59 :rule refl :args (@t45)) % 0.31/0.55 (step @p60 :rule refl :args (@t22)) % 0.31/0.55 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t22 @t45))) % 0.31/0.55 (step @p62 :rule symm :premises (@p61)) % 0.31/0.55 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 0.31/0.55 (step @p64 :rule cong :premises (@p63) :args (@t23)) % 0.31/0.55 (step @p65 :rule cong :premises (@p64) :args (@t25)) % 0.31/0.55 (step @p66 :rule trans :premises (@p65 @p58)) % 0.31/0.55 (step @p67 :rule nary_cong :premises (@p66 @p57 @p31) :args (@t26)) % 0.31/0.55 (step @p68 :rule cong :premises (@p67 @p14) :args (@t27)) % 0.31/0.55 (step @p69 :rule cong :premises (@p68 @p68) :args (@t28)) % 0.31/0.55 (step @p70 :rule cong :premises (@p69) :args (@t29)) % 0.31/0.55 (step @p71 :rule eq_resolve :premises (@p1 @p70)) % 0.31/0.55 (step @p72 :rule not_implies_elim2 :premises (@p71)) % 0.31/0.55 (step @p73 :rule not_implies_elim1 :premises (@p71)) % 0.31/0.55 (step @p74 false :rule contra :premises (@p73 @p72)) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------