%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN731^5 : 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 : n002.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 09:09:45 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN731^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.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 23:34:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.38/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.cP (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "W" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "Z" $$unsorted)) % 0.38/0.58 (define @t3 () (_ (_ (_ tptp.cP @t2) @t2) @t1)) % 0.38/0.58 (define @t4 () (@list @t2)) % 0.38/0.58 (define @t5 () (exists @t4 @t3)) % 0.38/0.58 (define @t6 () (@var "Y" $$unsorted)) % 0.38/0.58 (define @t7 () (@var "X" $$unsorted)) % 0.38/0.58 (define @t8 () (_ (_ (_ tptp.cP @t1) @t7) @t6)) % 0.38/0.58 (define @t9 () (@list @t6)) % 0.38/0.58 (define @t10 () (exists @t9 @t8)) % 0.38/0.58 (define @t11 () (@list @t7)) % 0.38/0.58 (define @t12 () (forall @t11 @t10)) % 0.38/0.58 (define @t13 () (=> @t12 @t5)) % 0.38/0.58 (define @t14 () (@list @t1)) % 0.38/0.58 (define @t15 () (exists @t14 @t13)) % 0.38/0.58 (define @t16 () (not @t15)) % 0.38/0.58 (define @t17 () (@var "BOUND_VARIABLE_7461" $$unsorted)) % 0.38/0.58 (define @t18 () (not (tptp.cP @t2 @t2 @t17))) % 0.38/0.58 (define @t19 () (forall (@list @t17 @t2) @t18)) % 0.38/0.58 (define @t20 () (@var "BOUND_VARIABLE_7452" $$unsorted)) % 0.38/0.58 (define @t21 () (not (forall @t9 (not (tptp.cP @t20 @t7 @t6))))) % 0.38/0.58 (define @t22 () (forall (@list @t20 @t7) @t21)) % 0.38/0.58 (define @t23 () (forall (@list @t17) (forall @t4 @t18))) % 0.38/0.58 (define @t24 () (forall (@list @t20) (forall @t11 @t21))) % 0.38/0.58 (define @t25 () (tptp.cP @t2 @t2 @t1)) % 0.38/0.58 (define @t26 () (forall @t4 (not @t25))) % 0.38/0.58 (define @t27 () (forall @t14 @t26)) % 0.38/0.58 (define @t28 () (@list @t1)) % 0.38/0.58 (define @t29 () (tptp.cP @t1 @t7 @t6)) % 0.38/0.58 (define @t30 () (forall @t11 (not (forall @t9 (not @t29))))) % 0.38/0.58 (define @t31 () (forall @t14 @t30)) % 0.38/0.58 (define @t32 () (and @t31 @t27)) % 0.38/0.58 (define @t33 () (not @t26)) % 0.38/0.58 (define @t34 () (=> @t30 @t33)) % 0.38/0.58 (define @t35 () (forall @t14 (not @t34))) % 0.38/0.58 (define @t36 () (not @t35)) % 0.38/0.58 (define @t37 () (not @t3)) % 0.38/0.58 (define @t38 () (forall @t4 @t37)) % 0.38/0.58 (define @t39 () (not @t38)) % 0.38/0.58 (define @t40 () (not @t8)) % 0.38/0.58 (define @t41 () (forall @t9 @t40)) % 0.38/0.58 (define @t42 () (not @t41)) % 0.38/0.58 (define @t43 () (@const 0 $$unsorted)) % 0.38/0.58 (define @t44 () (forall @t9 (not (tptp.cP @t43 @t43 @t6)))) % 0.38/0.58 (define @t45 () (@quantifiers_skolemize @t44 0)) % 0.38/0.58 (define @t46 () (tptp.cP @t43 @t43 @t45)) % 0.38/0.58 (define @t47 () (not @t44)) % 0.38/0.58 (define @t48 () (not @t46)) % 0.38/0.58 (define @t49 () (not @t48)) % 0.38/0.58 (assume @p1 @t16) % 0.38/0.58 (assume @p2 true) % 0.38/0.58 (step @p3 :rule bool-double-not-elim :args ((and @t22 @t19))) % 0.38/0.58 (step @p4 :rule quant-merge-prenex :args ((= @t23 @t19))) % 0.38/0.58 (step @p5 :rule quant-merge-prenex :args ((= @t24 @t22))) % 0.38/0.58 (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((and @t24 @t23))) % 0.38/0.58 (step @p7 :rule alpha_equiv :args (@t27 @t28 (@list @t17))) % 0.38/0.58 (step @p8 :rule alpha_equiv :args (@t31 @t28 (@list @t20))) % 0.38/0.58 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t32)) % 0.38/0.58 (step @p10 :rule quant-miniscope-and :args ((= (forall @t14 (and @t30 @t26)) @t32))) % 0.38/0.58 (step @p11 :rule trans :premises (@p10 @p9)) % 0.38/0.58 (step @p12 :rule trans :premises (@p11 @p6)) % 0.38/0.58 (step @p13 :rule bool-double-not-elim :args (@t26)) % 0.38/0.58 (step @p14 :rule refl :args (@t30)) % 0.38/0.58 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((and @t30 (not @t33)))) % 0.38/0.58 (step @p16 :rule bool-implies-de-morgan :args (@t30 @t33)) % 0.38/0.58 (step @p17 :rule trans :premises (@p16 @p15)) % 0.38/0.58 (step @p18 :rule cong :premises (@p17) :args (@t35)) % 0.38/0.58 (step @p19 :rule trans :premises (@p18 @p12)) % 0.38/0.58 (step @p20 :rule cong :premises (@p19) :args (@t36)) % 0.38/0.58 (step @p21 :rule exists-elim :args ((= (exists @t14 @t34) @t36))) % 0.38/0.58 (step @p22 :rule trans :premises (@p21 @p20)) % 0.38/0.58 (step @p23 :rule refl :args (@t25)) % 0.38/0.58 (step @p24 :rule refl :args (@t3)) % 0.38/0.58 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t3 @t25))) % 0.38/0.58 (step @p26 :rule symm :premises (@p25)) % 0.38/0.58 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.38/0.58 (step @p28 :rule cong :premises (@p27) :args (@t37)) % 0.38/0.58 (step @p29 :rule cong :premises (@p28) :args (@t38)) % 0.38/0.58 (step @p30 :rule cong :premises (@p29) :args (@t39)) % 0.38/0.58 (step @p31 :rule exists-elim :args ((= @t5 @t39))) % 0.38/0.58 (step @p32 :rule trans :premises (@p31 @p30)) % 0.38/0.58 (step @p33 :rule refl :args (@t29)) % 0.38/0.58 (step @p34 :rule refl :args (@t8)) % 0.38/0.58 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t8 @t29))) % 0.38/0.58 (step @p36 :rule symm :premises (@p35)) % 0.38/0.58 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.38/0.58 (step @p38 :rule cong :premises (@p37) :args (@t40)) % 0.38/0.59 (step @p39 :rule cong :premises (@p38) :args (@t41)) % 0.38/0.59 (step @p40 :rule cong :premises (@p39) :args (@t42)) % 0.38/0.59 (step @p41 :rule exists-elim :args ((= @t10 @t42))) % 0.38/0.59 (step @p42 :rule trans :premises (@p41 @p40)) % 0.38/0.59 (step @p43 :rule cong :premises (@p42) :args (@t12)) % 0.38/0.59 (step @p44 :rule cong :premises (@p43 @p32) :args (@t13)) % 0.38/0.59 (step @p45 :rule cong :premises (@p44) :args (@t15)) % 0.38/0.59 (step @p46 :rule trans :premises (@p45 @p22)) % 0.38/0.59 (step @p47 :rule cong :premises (@p46) :args (@t16)) % 0.38/0.59 (step @p48 :rule trans :premises (@p47 @p3)) % 0.38/0.59 (step @p49 :rule eq_resolve :premises (@p1 @p48)) % 0.38/0.59 (step @p50 :rule and_elim :premises (@p49) :args (1)) % 0.38/0.59 (step @p51 :rule and_elim :premises (@p49) :args (0)) % 0.38/0.59 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t43 @t43))) % 0.38/0.59 (step @p53 :rule refl :args (@t46)) % 0.38/0.59 (step @p54 :rule bool-double-not-elim :args (@t44)) % 0.38/0.59 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or (not @t47) @t46))) % 0.38/0.59 (step @p56 :rule bool-double-not-elim :args (@t46)) % 0.38/0.59 (step @p57 :rule refl :args (@t47)) % 0.38/0.59 (step @p58 :rule cong :premises (@p57 @p56) :args ((=> @t47 @t49))) % 0.38/0.59 (assume-push @p73 @t47) % 0.38/0.59 (step @p60 :rule skolemize :premises (@p52)) % 0.38/0.59 (step-pop @p74 :rule scope :premises (@p60)) % 0.38/0.59 (step @p61 :rule process_scope :premises (@p74) :args (@t49)) % 0.38/0.59 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 0.38/0.59 (step @p64 :rule implies_elim :premises (@p63)) % 0.38/0.59 (step @p65 :rule eq_resolve :premises (@p64 @p55)) % 0.38/0.59 (step @p66 :rule chain_m_resolution :premises (@p65 @p52) :args (@t46 (@list true) (@list @t44))) % 0.38/0.59 (assume-push @p75 @t19) % 0.38/0.59 (step @p68 :rule instantiate :premises (@p50) :args ((@list @t45 @t43))) % 0.38/0.59 (step-pop @p76 :rule scope :premises (@p68)) % 0.38/0.59 (step @p69 :rule process_scope :premises (@p76) :args (@t48)) % 0.38/0.59 (step @p71 :rule implies_elim :premises (@p69)) % 0.38/0.59 (step @p72 false :rule chain_m_resolution :premises (@p71 @p66 @p50) :args (false (@list false false) (@list @t46 @t19))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------