%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO107^5 : 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 : n007.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 09:12:03 AM UTC 2026 % Result : Theorem 0.29s 0.54s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO107^5 : 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 % 0.17/0.34 % Computer : n007.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 : Tue Jun 2 23:58:11 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.29/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.54 % SZS status Theorem % 0.29/0.54 % SZS output start Proof % 0.29/0.54 ( % 0.29/0.54 (declare-sort $$unsorted 0) % 0.29/0.54 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.29/0.54 (define @t1 () (@var "Y" $$unsorted)) % 0.29/0.54 (define @t2 () (_ tptp.cP @t1)) % 0.29/0.54 (define @t3 () (@list @t1)) % 0.29/0.54 (define @t4 () (forall @t3 @t2)) % 0.29/0.54 (define @t5 () (@var "X" $$unsorted)) % 0.29/0.54 (define @t6 () (_ tptp.cP @t5)) % 0.29/0.54 (define @t7 () (=> @t6 @t4)) % 0.29/0.54 (define @t8 () (@list @t5)) % 0.29/0.54 (define @t9 () (exists @t8 @t7)) % 0.29/0.54 (define @t10 () (forall @t3 (=> @t6 @t2))) % 0.29/0.54 (define @t11 () (exists @t8 @t10)) % 0.29/0.54 (define @t12 () (= @t11 @t9)) % 0.29/0.54 (define @t13 () (not @t12)) % 0.29/0.54 (define @t14 () (tptp.cP @t1)) % 0.29/0.54 (define @t15 () (forall @t3 @t14)) % 0.29/0.54 (define @t16 () (not @t15)) % 0.29/0.54 (define @t17 () (@var "BOUND_VARIABLE_7436" $$unsorted)) % 0.29/0.54 (define @t18 () (tptp.cP @t17)) % 0.29/0.54 (define @t19 () (@list @t17)) % 0.29/0.54 (define @t20 () (_ tptp.cP @t17)) % 0.29/0.54 (define @t21 () (forall @t19 @t20)) % 0.29/0.54 (define @t22 () (forall @t8 @t16)) % 0.29/0.54 (define @t23 () (forall @t8 @t6)) % 0.29/0.54 (define @t24 () (and @t23 @t22)) % 0.29/0.54 (define @t25 () (=> @t6 @t15)) % 0.29/0.54 (define @t26 () (forall @t8 (not @t25))) % 0.29/0.54 (define @t27 () (not @t26)) % 0.29/0.54 (define @t28 () (not @t6)) % 0.29/0.54 (define @t29 () (or @t28 @t15)) % 0.29/0.54 (define @t30 () (forall @t8 (not @t29))) % 0.29/0.54 (define @t31 () (not @t30)) % 0.29/0.54 (define @t32 () (or @t28 @t4)) % 0.29/0.54 (assume @p1 @t13) % 0.29/0.54 (assume @p2 true) % 0.29/0.54 (step @p3 :rule evaluate :args ((not true))) % 0.29/0.54 (step @p4 :rule eq-refl :args ((not (and (forall @t19 @t18) @t16)))) % 0.29/0.54 (step @p5 :rule refl :args (@t16)) % 0.29/0.54 (step @p6 :rule refl :args (@t18)) % 0.29/0.54 (step @p7 :rule refl :args (@t20)) % 0.29/0.54 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t20 @t18))) % 0.29/0.54 (step @p9 :rule symm :premises (@p8)) % 0.29/0.54 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.29/0.54 (step @p11 :rule cong :premises (@p10) :args (@t21)) % 0.29/0.54 (step @p12 :rule nary_cong :premises (@p11 @p5) :args ((and @t21 @t16))) % 0.29/0.54 (step @p13 :rule quant-unused-vars :args ((= @t22 @t16))) % 0.29/0.54 (step @p14 :rule alpha_equiv :args (@t23 (@list @t5) (@list @t17))) % 0.29/0.54 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t24)) % 0.29/0.54 (step @p16 :rule quant-miniscope-and :args ((= (forall @t8 (and @t6 @t16)) @t24))) % 0.29/0.54 (step @p17 :rule trans :premises (@p16 @p15)) % 0.29/0.54 (step @p18 :rule trans :premises (@p17 @p12)) % 0.29/0.54 (step @p19 :rule bool-implies-de-morgan :args (@t6 @t15)) % 0.29/0.54 (step @p20 :rule cong :premises (@p19) :args (@t26)) % 0.29/0.54 (step @p21 :rule trans :premises (@p20 @p18)) % 0.29/0.54 (step @p22 :rule cong :premises (@p21) :args (@t27)) % 0.29/0.54 (step @p23 :rule exists-elim :args ((= (exists @t8 @t25) @t27))) % 0.29/0.54 (step @p24 :rule trans :premises (@p23 @p22)) % 0.29/0.54 (step @p25 :rule refl :args (@t14)) % 0.29/0.54 (step @p26 :rule refl :args (@t2)) % 0.29/0.54 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t2 @t14))) % 0.29/0.54 (step @p28 :rule symm :premises (@p27)) % 0.29/0.54 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.29/0.54 (step @p30 :rule cong :premises (@p29) :args (@t4)) % 0.29/0.54 (step @p31 :rule refl :args (@t6)) % 0.29/0.54 (step @p32 :rule cong :premises (@p31 @p30) :args (@t7)) % 0.29/0.54 (step @p33 :rule cong :premises (@p32) :args (@t9)) % 0.29/0.54 (step @p34 :rule trans :premises (@p33 @p24)) % 0.29/0.54 (step @p35 :rule refl :args (@t16)) % 0.29/0.54 (step @p36 :rule bool-double-not-elim :args (@t6)) % 0.29/0.54 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((and (not @t28) @t16))) % 0.29/0.54 (step @p38 :rule bool-or-de-morgan :args (@t28 @t15 false)) % 0.29/0.54 (step @p39 :rule trans :premises (@p38 @p37)) % 0.29/0.54 (step @p40 :rule cong :premises (@p39) :args (@t30)) % 0.29/0.54 (step @p41 :rule trans :premises (@p40 @p18)) % 0.29/0.54 (step @p42 :rule cong :premises (@p41) :args (@t31)) % 0.29/0.54 (step @p43 :rule exists-elim :args ((= (exists @t8 @t29) @t31))) % 0.29/0.54 (step @p44 :rule trans :premises (@p43 @p42)) % 0.29/0.54 (step @p45 :rule refl :args (@t28)) % 0.29/0.54 (step @p46 :rule nary_cong :premises (@p45 @p30) :args (@t32)) % 0.29/0.54 (step @p47 :rule quant-miniscope-or :args ((= (forall @t3 (or @t28 @t2)) @t32))) % 0.29/0.54 (step @p48 :rule trans :premises (@p47 @p46)) % 0.29/0.54 (step @p49 :rule bool-impl-elim :args (@t6 @t2)) % 0.29/0.54 (step @p50 :rule cong :premises (@p49) :args (@t10)) % 0.29/0.54 (step @p51 :rule trans :premises (@p50 @p48)) % 0.29/0.54 (step @p52 :rule cong :premises (@p51) :args (@t11)) % 0.29/0.54 (step @p53 :rule trans :premises (@p52 @p44)) % 0.29/0.54 (step @p54 :rule cong :premises (@p53 @p34) :args (@t12)) % 0.29/0.54 (step @p55 :rule trans :premises (@p54 @p4)) % 0.29/0.54 (step @p56 :rule cong :premises (@p55) :args (@t13)) % 0.29/0.54 (step @p57 :rule trans :premises (@p56 @p3)) % 0.29/0.54 (step @p58 false :rule eq_resolve :premises (@p1 @p57)) % 0.29/0.54 ) % 0.29/0.54 % SZS output end Proof % 0.29/0.54 % cvc5 exiting %------------------------------------------------------------------------------