%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET983+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 : n016.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 08:49:05 AM UTC 2026 % Result : Theorem 33.55s 33.72s % Output : Proof 33.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET983+1 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.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 16:21:24 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 33.55/33.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.55/33.72 --- Run --no-e-matching --full-saturate-quant at 6... % 33.55/33.72 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.55/33.72 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.55/33.72 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.55/33.72 % SZS status Theorem % 33.55/33.72 % SZS output start Proof % 33.55/33.72 ( % 33.55/33.72 (declare-sort $$unsorted 0) % 33.55/33.72 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 33.55/33.72 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.55/33.72 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 33.55/33.72 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.55/33.72 (define @t1 () (@var "A" $$unsorted)) % 33.55/33.72 (define @t2 () (@var "B" $$unsorted)) % 33.55/33.72 (define @t3 () (@list @t1 @t2)) % 33.55/33.72 (define @t4 () (tptp.set_intersection2 @t1 @t2)) % 33.55/33.72 (define @t5 () (@var "D" $$unsorted)) % 33.55/33.72 (define @t6 () (@var "C" $$unsorted)) % 33.55/33.72 (define @t7 () (@list @t5)) % 33.55/33.72 (define @t8 () (forall @t7 (= (tptp.in @t5 @t6) (and (tptp.in @t5 @t1) (tptp.in @t5 @t2))))) % 33.55/33.72 (define @t9 () (= (= @t6 @t4) @t8)) % 33.55/33.72 (define @t10 () (@list @t1 @t2 @t6)) % 33.55/33.72 (define @t11 () (forall @t10 @t9)) % 33.55/33.72 (define @t12 () (tptp.empty @t1)) % 33.55/33.72 (define @t13 () (@list @t1)) % 33.55/33.72 (define @t14 () (@var "E" $$unsorted)) % 33.55/33.72 (define @t15 () (tptp.in @t1 (tptp.cartesian_product2 (tptp.set_intersection2 @t2 @t5) (tptp.set_intersection2 @t6 @t14)))) % 33.55/33.72 (define @t16 () (tptp.in @t1 (tptp.cartesian_product2 @t5 @t14))) % 33.55/33.72 (define @t17 () (tptp.in @t1 (tptp.cartesian_product2 @t2 @t6))) % 33.55/33.72 (define @t18 () (and @t17 @t16)) % 33.55/33.72 (define @t19 () (@list @t1 @t2 @t6 @t5 @t14)) % 33.55/33.72 (define @t20 () (forall @t19 (=> @t18 @t15))) % 33.55/33.72 (define @t21 () (not @t20)) % 33.55/33.72 (define @t22 () (not @t16)) % 33.55/33.72 (define @t23 () (not @t17)) % 33.55/33.72 (define @t24 () (or @t23 @t22 @t15)) % 33.55/33.72 (define @t25 () (forall @t19 @t24)) % 33.55/33.72 (define @t26 () (@quantifiers_skolemize @t25 4)) % 33.55/33.72 (define @t27 () (@quantifiers_skolemize @t25 2)) % 33.55/33.72 (define @t28 () (@quantifiers_skolemize @t25 3)) % 33.55/33.72 (define @t29 () (@quantifiers_skolemize @t25 1)) % 33.55/33.72 (define @t30 () (tptp.cartesian_product2 (tptp.set_intersection2 @t29 @t28) (tptp.set_intersection2 @t27 @t26))) % 33.55/33.72 (define @t31 () (@quantifiers_skolemize @t25 0)) % 33.55/33.72 (define @t32 () (tptp.in @t31 @t30)) % 33.55/33.72 (define @t33 () (tptp.cartesian_product2 @t28 @t26)) % 33.55/33.72 (define @t34 () (tptp.in @t31 @t33)) % 33.55/33.72 (define @t35 () (not @t34)) % 33.55/33.72 (define @t36 () (tptp.cartesian_product2 @t29 @t27)) % 33.55/33.72 (define @t37 () (tptp.in @t31 @t36)) % 33.55/33.72 (define @t38 () (not @t37)) % 33.55/33.72 (define @t39 () (or @t38 @t35 @t32)) % 33.55/33.72 (define @t40 () (@list true)) % 33.55/33.72 (define @t41 () (@list @t39)) % 33.55/33.72 (define @t42 () (and @t37 @t34)) % 33.55/33.72 (define @t43 () (@list false false)) % 33.55/33.72 (define @t44 () (= @t4 @t6)) % 33.55/33.72 (define @t45 () (forall @t7 (= (tptp.in @t5 @t30) (and (tptp.in @t5 @t36) (tptp.in @t5 @t33))))) % 33.55/33.72 (define @t46 () (tptp.set_intersection2 @t36 @t33)) % 33.55/33.72 (define @t47 () (= @t46 @t30)) % 33.55/33.72 (define @t48 () (forall @t10 (= @t8 @t44))) % 33.55/33.72 (define @t49 () (= @t45 @t47)) % 33.55/33.72 (define @t50 () (= @t30 @t46)) % 33.55/33.72 (define @t51 () (= @t50 @t45)) % 33.55/33.72 (define @t52 () (= @t32 @t42)) % 33.55/33.72 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 33.55/33.72 (assume @p2 (forall @t3 (= @t4 (tptp.set_intersection2 @t2 @t1)))) % 33.55/33.72 (assume @p3 @t11) % 33.55/33.72 (assume @p4 (forall @t3 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 33.55/33.72 (assume @p5 (exists @t13 @t12)) % 33.55/33.72 (assume @p6 (exists @t13 (not @t12))) % 33.55/33.72 (assume @p7 (forall (@list @t1 @t2 @t6 @t5) (= (tptp.cartesian_product2 @t4 (tptp.set_intersection2 @t6 @t5)) (tptp.set_intersection2 (tptp.cartesian_product2 @t1 @t6) (tptp.cartesian_product2 @t2 @t5))))) % 33.55/33.72 (assume @p8 @t21) % 33.55/33.72 (assume @p9 true) % 33.55/33.72 (step @p10 :rule aci_norm :args ((= (or (or @t23 @t22) @t15) @t24))) % 33.55/33.72 (step @p11 :rule refl :args (@t15)) % 33.55/33.72 (step @p12 :rule bool-and-de-morgan :args (@t17 @t16 true)) % 33.55/33.72 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or (not @t18) @t15))) % 33.55/33.72 (step @p14 :rule trans :premises (@p13 @p10)) % 33.55/33.72 (step @p15 :rule bool-impl-elim :args (@t18 @t15)) % 33.55/33.72 (step @p16 :rule trans :premises (@p15 @p14)) % 33.55/33.72 (step @p17 :rule cong :premises (@p16) :args (@t20)) % 33.55/33.72 (step @p18 :rule cong :premises (@p17) :args (@t21)) % 33.55/33.72 (step @p19 :rule eq_resolve :premises (@p8 @p18)) % 33.55/33.72 (step @p20 :rule skolemize :premises (@p19)) % 33.55/33.72 (step @p21 :rule cnf_or_neg :args (@t39 2)) % 33.55/33.72 (step @p22 :rule chain_m_resolution :premises (@p21 @p20) :args ((not @t32) @t40 @t41)) % 33.55/33.72 (step @p23 :rule bool-double-not-elim :args (@t34)) % 33.55/33.72 (step @p24 :rule refl :args (@t39)) % 33.55/33.72 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t39 (not @t35)))) % 33.55/33.72 (step @p26 :rule cnf_or_neg :args (@t39 1)) % 33.55/33.72 (step @p27 :rule eq_resolve :premises (@p26 @p25)) % 33.55/33.72 (step @p28 :rule reordering :premises (@p27) :args ((or @t34 @t39))) % 33.55/33.72 (step @p29 :rule chain_m_resolution :premises (@p28 @p20) :args (@t34 @t40 @t41)) % 33.55/33.72 (step @p30 :rule bool-double-not-elim :args (@t37)) % 33.55/33.72 (step @p31 :rule nary_cong :premises (@p24 @p30) :args ((or @t39 (not @t38)))) % 33.55/33.72 (step @p32 :rule cnf_or_neg :args (@t39 0)) % 33.55/33.72 (step @p33 :rule eq_resolve :premises (@p32 @p31)) % 33.55/33.72 (step @p34 :rule reordering :premises (@p33) :args ((or @t37 @t39))) % 33.55/33.72 (step @p35 :rule chain_m_resolution :premises (@p34 @p20) :args (@t37 @t40 @t41)) % 33.55/33.72 (step @p36 :rule cnf_and_neg :args (@t42)) % 33.55/33.72 (step @p37 :rule reordering :premises (@p36) :args ((or @t38 @t35 @t42))) % 33.55/33.72 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p29) :args (@t42 @t43 (@list @t37 @t34))) % 33.55/33.72 (step @p39 :rule eq-symm :args (@t44 @t8)) % 33.55/33.72 (step @p40 :rule refl :args (@t8)) % 33.55/33.72 (step @p41 :rule eq-symm :args (@t6 @t4)) % 33.55/33.72 (step @p42 :rule cong :premises (@p41 @p40) :args (@t9)) % 33.55/33.72 (step @p43 :rule trans :premises (@p42 @p39)) % 33.55/33.72 (step @p44 :rule cong :premises (@p43) :args (@t11)) % 33.55/33.72 (step @p45 :rule eq_resolve :premises (@p3 @p44)) % 33.55/33.72 (step @p46 :rule refl :args (@t45)) % 33.55/33.72 (step @p47 :rule eq-symm :args (@t46 @t30)) % 33.55/33.72 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t47 @t45))) % 33.55/33.72 (step @p49 :rule eq-symm :args (@t45 @t47)) % 33.55/33.72 (step @p50 :rule trans :premises (@p49 @p48)) % 33.55/33.72 (step @p51 :rule refl :args (@t48)) % 33.55/33.72 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t48 @t49))) % 33.55/33.72 (assume-push @p68 @t48) % 33.55/33.72 (step @p54 :rule instantiate :premises (@p45) :args ((@list @t36 @t33 @t30))) % 33.55/33.72 (step-pop @p69 :rule scope :premises (@p54)) % 33.55/33.72 (step @p55 :rule process_scope :premises (@p69) :args (@t49)) % 33.55/33.72 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 33.55/33.72 (step @p58 :rule implies_elim :premises (@p57)) % 33.55/33.72 (step @p59 :rule chain_m_resolution :premises (@p58 @p45) :args (@t51 (@list false) (@list @t48))) % 33.55/33.72 (step @p60 :rule instantiate :premises (@p7) :args ((@list @t29 @t28 @t27 @t26))) % 33.55/33.72 (step @p61 :rule cnf_equiv_pos1 :args (@t51)) % 33.55/33.72 (step @p62 :rule reordering :premises (@p61) :args ((or (not @t50) @t45 (not @t51)))) % 33.55/33.72 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p59) :args (@t45 @t43 (@list @t50 @t51))) % 33.55/33.72 (step @p64 :rule instantiate :premises (@p63) :args ((@list @t31))) % 33.55/33.72 (step @p65 :rule cnf_equiv_pos2 :args (@t52)) % 33.55/33.72 (step @p66 :rule reordering :premises (@p65) :args ((or @t32 (not @t42) (not @t52)))) % 33.55/33.72 (step @p67 false :rule chain_m_resolution :premises (@p66 @p64 @p38 @p22) :args (false (@list false false true) (@list @t52 @t42 @t32))) % 33.55/33.72 ) % 33.55/33.72 % SZS output end Proof % 33.55/33.72 % cvc5 exiting %------------------------------------------------------------------------------