%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET975+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:49:04 AM UTC 2026 % Result : Theorem 15.30s 15.59s % Output : Proof 15.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET975+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:20:17 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.30/15.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.30/15.59 --- Run --no-e-matching --full-saturate-quant at 6... % 15.30/15.59 % SZS status Theorem % 15.30/15.59 % SZS output start Proof % 15.30/15.59 ( % 15.30/15.59 (declare-sort $$unsorted 0) % 15.30/15.59 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 15.30/15.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.30/15.59 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.30/15.59 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.30/15.59 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.30/15.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.30/15.59 (define @t1 () (@var "A" $$unsorted)) % 15.30/15.59 (define @t2 () (@var "B" $$unsorted)) % 15.30/15.59 (define @t3 () (@list @t1 @t2)) % 15.30/15.59 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 15.30/15.59 (define @t5 () (@var "C" $$unsorted)) % 15.30/15.59 (define @t6 () (tptp.in @t5 @t2)) % 15.30/15.59 (define @t7 () (= @t6 (= @t5 @t1))) % 15.30/15.59 (define @t8 () (@list @t5)) % 15.30/15.59 (define @t9 () (forall @t8 @t7)) % 15.30/15.59 (define @t10 () (tptp.singleton @t1)) % 15.30/15.59 (define @t11 () (= @t2 @t10)) % 15.30/15.59 (define @t12 () (= @t11 @t9)) % 15.30/15.59 (define @t13 () (forall @t3 @t12)) % 15.30/15.59 (define @t14 () (tptp.ordered_pair @t1 @t2)) % 15.30/15.59 (define @t15 () (@var "D" $$unsorted)) % 15.30/15.59 (define @t16 () (tptp.in @t2 @t15)) % 15.30/15.59 (define @t17 () (@list @t1 @t2 @t5 @t15)) % 15.30/15.59 (define @t18 () (tptp.empty @t1)) % 15.30/15.59 (define @t19 () (@list @t1)) % 15.30/15.59 (define @t20 () (= @t1 @t5)) % 15.30/15.59 (define @t21 () (forall @t17 (= (tptp.in @t14 (tptp.cartesian_product2 (tptp.singleton @t5) @t15)) (and @t20 @t16)))) % 15.30/15.59 (define @t22 () (@quantifiers_skolemize @t21 2)) % 15.30/15.59 (define @t23 () (tptp.singleton @t22)) % 15.30/15.59 (define @t24 () (tptp.in @t5 @t23)) % 15.30/15.59 (define @t25 () (forall @t8 (= (= @t5 @t22) @t24))) % 15.30/15.59 (define @t26 () (= @t22 @t5)) % 15.30/15.59 (define @t27 () (forall @t8 (= @t24 @t26))) % 15.30/15.59 (define @t28 () (= (= @t23 @t23) @t27)) % 15.30/15.59 (define @t29 () (forall @t3 (= @t11 (forall @t8 (= @t6 @t20))))) % 15.30/15.59 (define @t30 () (@list false)) % 15.30/15.59 (define @t31 () (@quantifiers_skolemize @t21 0)) % 15.30/15.59 (define @t32 () (@quantifiers_skolemize @t21 3)) % 15.30/15.59 (define @t33 () (@quantifiers_skolemize @t21 1)) % 15.30/15.59 (define @t34 () (tptp.in @t33 @t32)) % 15.30/15.59 (define @t35 () (= @t31 @t22)) % 15.30/15.59 (define @t36 () (and @t35 @t34)) % 15.30/15.59 (define @t37 () (tptp.in (tptp.ordered_pair @t31 @t33) (tptp.cartesian_product2 @t23 @t32))) % 15.30/15.59 (define @t38 () (= @t37 @t36)) % 15.30/15.59 (define @t39 () (tptp.in @t31 @t23)) % 15.30/15.59 (define @t40 () (and @t39 @t34)) % 15.30/15.59 (define @t41 () (= @t37 @t40)) % 15.30/15.59 (define @t42 () (not @t41)) % 15.30/15.59 (define @t43 () (not @t37)) % 15.30/15.59 (define @t44 () (not @t40)) % 15.30/15.59 (define @t45 () (= @t35 @t39)) % 15.30/15.59 (define @t46 () (not @t45)) % 15.30/15.59 (define @t47 () (not @t39)) % 15.30/15.59 (define @t48 () (not @t36)) % 15.30/15.59 (define @t49 () (@list @t36)) % 15.30/15.59 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 15.30/15.59 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 15.30/15.59 (assume @p3 @t13) % 15.30/15.59 (assume @p4 (forall @t3 (= @t14 (tptp.unordered_pair @t4 @t10)))) % 15.30/15.59 (assume @p5 (forall @t3 (not (tptp.empty @t14)))) % 15.30/15.59 (assume @p6 (forall @t17 (= (tptp.in @t14 (tptp.cartesian_product2 @t5 @t15)) (and (tptp.in @t1 @t5) @t16)))) % 15.30/15.59 (assume @p7 (exists @t19 @t18)) % 15.30/15.59 (assume @p8 (exists @t19 (not @t18))) % 15.30/15.59 (assume @p9 (not @t21)) % 15.30/15.59 (assume @p10 true) % 15.30/15.59 (step @p11 :rule eq-symm :args (@t5 @t1)) % 15.30/15.59 (step @p12 :rule refl :args (@t6)) % 15.30/15.59 (step @p13 :rule cong :premises (@p12 @p11) :args (@t7)) % 15.30/15.59 (step @p14 :rule cong :premises (@p13) :args (@t9)) % 15.30/15.59 (step @p15 :rule refl :args (@t11)) % 15.30/15.59 (step @p16 :rule cong :premises (@p15 @p14) :args (@t12)) % 15.30/15.59 (step @p17 :rule cong :premises (@p16) :args (@t13)) % 15.30/15.59 (step @p18 :rule eq_resolve :premises (@p3 @p17)) % 15.30/15.59 (step @p19 :rule bool-eq-true :args (@t25)) % 15.30/15.59 (step @p20 :rule eq-symm :args (true @t25)) % 15.30/15.59 (step @p21 :rule trans :premises (@p20 @p19)) % 15.30/15.59 (step @p22 :rule refl :args (@t24)) % 15.30/15.59 (step @p23 :rule eq-symm :args (@t22 @t5)) % 15.30/15.59 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t26 @t24))) % 15.30/15.59 (step @p25 :rule eq-symm :args (@t24 @t26)) % 15.30/15.59 (step @p26 :rule trans :premises (@p25 @p24)) % 15.30/15.59 (step @p27 :rule cong :premises (@p26) :args (@t27)) % 15.30/15.59 (step @p28 :rule eq-refl :args (@t23)) % 15.30/15.59 (step @p29 :rule cong :premises (@p28 @p27) :args (@t28)) % 15.30/15.59 (step @p30 :rule trans :premises (@p29 @p21)) % 15.30/15.59 (step @p31 :rule refl :args (@t29)) % 15.30/15.59 (step @p32 :rule cong :premises (@p31 @p30) :args ((=> @t29 @t28))) % 15.30/15.59 (assume-push @p72 @t29) % 15.30/15.60 (step @p34 :rule instantiate :premises (@p18) :args ((@list @t22 @t23))) % 15.30/15.60 (step-pop @p73 :rule scope :premises (@p34)) % 15.30/15.60 (step @p35 :rule process_scope :premises (@p73) :args (@t28)) % 15.30/15.60 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 15.30/15.60 (step @p38 :rule implies_elim :premises (@p37)) % 15.30/15.60 (step @p39 :rule chain_m_resolution :premises (@p38 @p18) :args (@t25 @t30 (@list @t29))) % 15.30/15.60 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t31))) % 15.30/15.60 (step @p41 :rule skolemize :premises (@p9)) % 15.30/15.60 (step @p42 :rule cnf_equiv_neg2 :args (@t38)) % 15.30/15.60 (step @p43 :rule instantiate :premises (@p6) :args ((@list @t31 @t33 @t23 @t32))) % 15.30/15.60 (step @p44 :rule cnf_equiv_pos1 :args (@t41)) % 15.30/15.60 (step @p45 :rule reordering :premises (@p44) :args ((or @t43 @t40 @t42))) % 15.30/15.60 (step @p46 :rule cnf_and_pos :args (@t40 0)) % 15.30/15.60 (step @p47 :rule reordering :premises (@p46) :args ((or @t39 @t44))) % 15.30/15.60 (step @p48 :rule cnf_and_pos :args (@t40 1)) % 15.30/15.60 (step @p49 :rule reordering :premises (@p48) :args ((or @t34 @t44))) % 15.30/15.60 (step @p50 :rule cnf_equiv_pos2 :args (@t45)) % 15.30/15.60 (step @p51 :rule reordering :premises (@p50) :args ((or @t35 @t47 @t46))) % 15.30/15.60 (step @p52 :rule cnf_and_neg :args (@t36)) % 15.30/15.60 (step @p53 :rule chain_m_resolution :premises (@p52 @p51 @p40 @p49 @p47 @p45 @p43 @p42 @p41) :args (@t43 (@list false false false false false false true true) (@list @t35 @t45 @t34 @t39 @t40 @t41 @t36 @t38))) % 15.30/15.60 (step @p54 :rule cnf_equiv_neg1 :args (@t38)) % 15.30/15.60 (step @p55 :rule reordering :premises (@p54) :args ((or @t37 @t36 @t38))) % 15.30/15.60 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p41) :args (@t36 (@list true true) (@list @t37 @t38))) % 15.30/15.60 (step @p57 :rule cnf_and_pos :args (@t36 0)) % 15.30/15.60 (step @p58 :rule reordering :premises (@p57) :args ((or @t35 @t48))) % 15.30/15.60 (step @p59 :rule chain_m_resolution :premises (@p58 @p56) :args (@t35 @t30 @t49)) % 15.30/15.60 (step @p60 :rule cnf_equiv_pos2 :args (@t41)) % 15.30/15.60 (step @p61 :rule reordering :premises (@p60) :args ((or @t37 @t44 @t42))) % 15.30/15.60 (step @p62 :rule chain_m_resolution :premises (@p61 @p53 @p43) :args (@t44 (@list true false) (@list @t37 @t41))) % 15.30/15.60 (step @p63 :rule cnf_and_pos :args (@t36 1)) % 15.30/15.60 (step @p64 :rule reordering :premises (@p63) :args ((or @t34 @t48))) % 15.30/15.60 (step @p65 :rule chain_m_resolution :premises (@p64 @p56) :args (@t34 @t30 @t49)) % 15.30/15.60 (step @p66 :rule cnf_and_neg :args (@t40)) % 15.30/15.60 (step @p67 :rule reordering :premises (@p66) :args ((or (not @t34) @t40 @t47))) % 15.30/15.60 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p62) :args (@t47 (@list false true) (@list @t34 @t40))) % 15.30/15.60 (step @p69 :rule cnf_equiv_pos1 :args (@t45)) % 15.30/15.60 (step @p70 :rule reordering :premises (@p69) :args ((or (not @t35) @t39 @t46))) % 15.30/15.60 (step @p71 false :rule chain_m_resolution :premises (@p70 @p68 @p59 @p40) :args (false (@list true false false) (@list @t39 @t35 @t45))) % 15.30/15.60 ) % 15.30/15.60 % SZS output end Proof % 0.33/15.60 % cvc5 exiting %------------------------------------------------------------------------------