%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO306^5 : 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 : n023.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 09:12:24 AM UTC 2026 % Result : Theorem 0.40s 0.56s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYO306^5 : 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 % 0.17/0.35 % Computer : n023.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 : Wed Jun 3 00:03:58 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.51 %----Proving TH0 % 0.40/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.56 % SZS status Theorem % 0.40/0.56 % SZS output start Proof % 0.40/0.56 ( % 0.40/0.56 (declare-sort $$unsorted 0) % 0.40/0.56 (declare-const tptp.cS (-> $$unsorted Bool)) % 0.40/0.56 (declare-const tptp.cT (-> $$unsorted Bool)) % 0.40/0.56 (define @t1 () (@var "Xx" $$unsorted)) % 0.40/0.56 (define @t2 () (_ tptp.cT @t1)) % 0.40/0.56 (define @t3 () (_ tptp.cS @t1)) % 0.40/0.56 (define @t4 () (@list @t1)) % 0.40/0.56 (define @t5 () (forall @t4 (and @t3 @t2))) % 0.40/0.56 (define @t6 () (=> @t5 @t5)) % 0.40/0.56 (define @t7 () (@var "P" (-> $$unsorted Bool))) % 0.40/0.56 (define @t8 () (_ @t7 @t1)) % 0.40/0.56 (define @t9 () (forall @t4 @t8)) % 0.40/0.56 (define @t10 () (=> @t9 @t9)) % 0.40/0.56 (define @t11 () (@list @t7)) % 0.40/0.56 (define @t12 () (forall @t11 @t10)) % 0.40/0.56 (define @t13 () (=> @t12 @t6)) % 0.40/0.56 (define @t14 () (not @t13)) % 0.40/0.56 (define @t15 () (@var "BOUND_VARIABLE_7435" $$unsorted)) % 0.40/0.56 (define @t16 () (tptp.cT @t15)) % 0.40/0.56 (define @t17 () (@list @t15)) % 0.40/0.56 (define @t18 () (@var "BOUND_VARIABLE_7430" $$unsorted)) % 0.40/0.56 (define @t19 () (tptp.cS @t18)) % 0.40/0.56 (define @t20 () (@list @t18)) % 0.40/0.56 (define @t21 () (and (forall @t20 @t19) (forall @t17 @t16))) % 0.40/0.56 (define @t22 () (_ tptp.cT @t15)) % 0.40/0.56 (define @t23 () (forall @t17 @t22)) % 0.40/0.56 (define @t24 () (_ tptp.cS @t18)) % 0.40/0.56 (define @t25 () (forall @t20 @t24)) % 0.40/0.56 (define @t26 () (forall @t4 @t2)) % 0.40/0.56 (define @t27 () (@list @t1)) % 0.40/0.56 (define @t28 () (forall @t4 @t3)) % 0.40/0.56 (define @t29 () (and @t28 @t26)) % 0.40/0.56 (define @t30 () (_ @t7 @t1)) % 0.40/0.56 (define @t31 () (forall @t4 @t30)) % 0.40/0.56 (assume @p1 @t14) % 0.40/0.56 (assume @p2 true) % 0.40/0.56 (step @p3 :rule bool-impl-true2 :args ((=> @t21 @t21))) % 0.40/0.56 (step @p4 :rule refl :args (@t16)) % 0.40/0.56 (step @p5 :rule refl :args (@t22)) % 0.40/0.56 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t22 @t16))) % 0.40/0.56 (step @p7 :rule symm :premises (@p6)) % 0.40/0.56 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.40/0.56 (step @p9 :rule cong :premises (@p8) :args (@t23)) % 0.40/0.56 (step @p10 :rule refl :args (@t19)) % 0.40/0.56 (step @p11 :rule refl :args (@t24)) % 0.40/0.56 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t24 @t19))) % 0.40/0.56 (step @p13 :rule symm :premises (@p12)) % 0.40/0.56 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.40/0.56 (step @p15 :rule cong :premises (@p14) :args (@t25)) % 0.40/0.56 (step @p16 :rule nary_cong :premises (@p15 @p9) :args ((and @t25 @t23))) % 0.40/0.56 (step @p17 :rule alpha_equiv :args (@t26 @t27 (@list @t15))) % 0.40/0.56 (step @p18 :rule alpha_equiv :args (@t28 @t27 (@list @t18))) % 0.40/0.56 (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t29)) % 0.40/0.56 (step @p20 :rule quant-miniscope-and :args ((= @t5 @t29))) % 0.40/0.56 (step @p21 :rule trans :premises (@p20 @p19)) % 0.40/0.56 (step @p22 :rule trans :premises (@p21 @p16)) % 0.40/0.56 (step @p23 :rule cong :premises (@p22 @p22) :args (@t6)) % 0.40/0.56 (step @p24 :rule quant-unused-vars :args ((= (forall @t11 true) true))) % 0.40/0.56 (step @p25 :rule bool-or-taut2 :args (false @t31 false false)) % 0.40/0.56 (step @p26 :rule bool-impl-elim :args (@t31 @t31)) % 0.40/0.56 (step @p27 :rule trans :premises (@p26 @p25)) % 0.40/0.56 (step @p28 :rule cong :premises (@p27) :args ((forall @t11 (=> @t31 @t31)))) % 0.40/0.56 (step @p29 :rule trans :premises (@p28 @p24)) % 0.40/0.56 (step @p30 :rule refl :args (@t30)) % 0.40/0.56 (step @p31 :rule refl :args (@t8)) % 0.40/0.56 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t8 @t30))) % 0.40/0.56 (step @p33 :rule symm :premises (@p32)) % 0.40/0.56 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.40/0.56 (step @p35 :rule cong :premises (@p34) :args (@t9)) % 0.40/0.56 (step @p36 :rule cong :premises (@p35 @p35) :args (@t10)) % 0.40/0.56 (step @p37 :rule cong :premises (@p36) :args (@t12)) % 0.40/0.56 (step @p38 :rule trans :premises (@p37 @p29)) % 0.40/0.56 (step @p39 :rule cong :premises (@p38 @p23) :args (@t13)) % 0.40/0.56 (step @p40 :rule trans :premises (@p39 @p3)) % 0.40/0.56 (step @p41 :rule cong :premises (@p40) :args (@t14)) % 0.40/0.56 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.40/0.56 (step @p43 :rule not_implies_elim2 :premises (@p42)) % 0.40/0.56 (step @p44 :rule not_implies_elim1 :premises (@p42)) % 0.40/0.56 (step @p45 false :rule contra :premises (@p44 @p43)) % 0.40/0.56 ) % 0.40/0.56 % SZS output end Proof % 0.40/0.57 % cvc5 exiting %------------------------------------------------------------------------------