%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET971+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 : n014.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 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET971+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 : n014.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 16:19:58 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (define @t1 () (@var "A" $$unsorted)) % 0.31/0.55 (define @t2 () (@var "B" $$unsorted)) % 0.31/0.55 (define @t3 () (tptp.set_intersection2 @t1 @t2)) % 0.31/0.55 (define @t4 () (@list @t1 @t2)) % 0.31/0.55 (define @t5 () (forall @t4 (= @t3 (tptp.set_intersection2 @t2 @t1)))) % 0.31/0.55 (define @t6 () (tptp.empty @t1)) % 0.31/0.55 (define @t7 () (@list @t1)) % 0.31/0.55 (define @t8 () (@var "D" $$unsorted)) % 0.31/0.55 (define @t9 () (@var "C" $$unsorted)) % 0.31/0.55 (define @t10 () (tptp.cartesian_product2 @t1 @t9)) % 0.31/0.55 (define @t11 () (@list @t1 @t2 @t9 @t8)) % 0.31/0.55 (define @t12 () (forall @t11 (= (tptp.cartesian_product2 @t3 (tptp.set_intersection2 @t9 @t8)) (tptp.set_intersection2 @t10 (tptp.cartesian_product2 @t2 @t8))))) % 0.31/0.55 (define @t13 () (tptp.set_intersection2 (tptp.cartesian_product2 @t1 @t8) (tptp.cartesian_product2 @t2 @t9))) % 0.31/0.55 (define @t14 () (tptp.subset @t9 @t8)) % 0.31/0.55 (define @t15 () (tptp.subset @t1 @t2)) % 0.31/0.55 (define @t16 () (and @t15 @t14)) % 0.31/0.55 (define @t17 () (=> @t16 (= @t13 @t10))) % 0.31/0.55 (define @t18 () (forall @t11 @t17)) % 0.31/0.55 (define @t19 () (not @t18)) % 0.31/0.55 (define @t20 () (=> @t15 (= @t3 @t1))) % 0.31/0.55 (define @t21 () (forall @t4 @t20)) % 0.31/0.55 (define @t22 () (= @t10 @t13)) % 0.31/0.55 (define @t23 () (not @t14)) % 0.31/0.55 (define @t24 () (not @t15)) % 0.31/0.55 (define @t25 () (or @t24 @t23 @t22)) % 0.31/0.55 (define @t26 () (forall @t11 @t25)) % 0.31/0.55 (define @t27 () (@quantifiers_skolemize @t26 2)) % 0.31/0.55 (define @t28 () (@quantifiers_skolemize @t26 1)) % 0.31/0.55 (define @t29 () (@quantifiers_skolemize @t26 3)) % 0.31/0.55 (define @t30 () (@quantifiers_skolemize @t26 0)) % 0.31/0.55 (define @t31 () (tptp.set_intersection2 (tptp.cartesian_product2 @t30 @t29) (tptp.cartesian_product2 @t28 @t27))) % 0.31/0.55 (define @t32 () (tptp.cartesian_product2 @t30 @t27)) % 0.31/0.55 (define @t33 () (= @t32 @t31)) % 0.31/0.55 (define @t34 () (tptp.subset @t27 @t29)) % 0.31/0.55 (define @t35 () (not @t34)) % 0.31/0.55 (define @t36 () (tptp.subset @t30 @t28)) % 0.31/0.55 (define @t37 () (not @t36)) % 0.31/0.55 (define @t38 () (or @t37 @t35 @t33)) % 0.31/0.55 (define @t39 () (@list true)) % 0.31/0.55 (define @t40 () (@list @t38)) % 0.31/0.55 (define @t41 () (tptp.set_intersection2 @t29 @t27)) % 0.31/0.55 (define @t42 () (tptp.set_intersection2 @t30 @t28)) % 0.31/0.55 (define @t43 () (tptp.cartesian_product2 @t42 @t41)) % 0.31/0.55 (define @t44 () (= @t43 @t31)) % 0.31/0.55 (define @t45 () (@list @t30 @t28 @t29 @t27)) % 0.31/0.55 (define @t46 () (= @t31 @t43)) % 0.31/0.55 (define @t47 () (@list false)) % 0.31/0.55 (define @t48 () (= @t1 @t3)) % 0.31/0.55 (define @t49 () (= @t30 @t42)) % 0.31/0.55 (define @t50 () (or @t37 @t49)) % 0.31/0.55 (define @t51 () (@list false false)) % 0.31/0.55 (define @t52 () (@list @t27 @t29)) % 0.31/0.55 (define @t53 () (tptp.set_intersection2 @t27 @t29)) % 0.31/0.55 (define @t54 () (= @t27 @t53)) % 0.31/0.55 (define @t55 () (or @t35 @t54)) % 0.31/0.55 (define @t56 () (= @t53 @t41)) % 0.31/0.55 (define @t57 () (= @t41 @t53)) % 0.31/0.55 (define @t58 () (and @t46 @t49 @t54 @t57)) % 0.31/0.55 (assume @p1 @t5) % 0.31/0.55 (assume @p2 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.31/0.55 (assume @p3 (exists @t7 @t6)) % 0.31/0.55 (assume @p4 (exists @t7 (not @t6))) % 0.31/0.55 (assume @p5 (forall @t4 (tptp.subset @t1 @t1))) % 0.31/0.55 (assume @p6 @t12) % 0.31/0.55 (assume @p7 @t19) % 0.31/0.55 (assume @p8 @t21) % 0.31/0.55 (assume @p9 true) % 0.31/0.55 (step @p10 :rule aci_norm :args ((= (or (or @t24 @t23) @t22) @t25))) % 0.31/0.55 (step @p11 :rule refl :args (@t22)) % 0.31/0.55 (step @p12 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 0.31/0.55 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or (not @t16) @t22))) % 0.31/0.55 (step @p14 :rule trans :premises (@p13 @p10)) % 0.31/0.55 (step @p15 :rule bool-impl-elim :args (@t16 @t22)) % 0.31/0.55 (step @p16 :rule trans :premises (@p15 @p14)) % 0.31/0.55 (step @p17 :rule cong :premises (@p16) :args ((forall @t11 (=> @t16 @t22)))) % 0.31/0.55 (step @p18 :rule eq-symm :args (@t13 @t10)) % 0.31/0.55 (step @p19 :rule refl :args (@t16)) % 0.31/0.55 (step @p20 :rule cong :premises (@p19 @p18) :args (@t17)) % 0.31/0.55 (step @p21 :rule cong :premises (@p20) :args (@t18)) % 0.31/0.55 (step @p22 :rule trans :premises (@p21 @p17)) % 0.31/0.55 (step @p23 :rule cong :premises (@p22) :args (@t19)) % 0.31/0.55 (step @p24 :rule eq_resolve :premises (@p7 @p23)) % 0.31/0.55 (step @p25 :rule skolemize :premises (@p24)) % 0.31/0.55 (step @p26 :rule cnf_or_neg :args (@t38 2)) % 0.31/0.56 (step @p27 :rule chain_m_resolution :premises (@p26 @p25) :args ((not @t33) @t39 @t40)) % 0.31/0.56 (step @p28 :rule eq-symm :args (@t43 @t31)) % 0.31/0.56 (step @p29 :rule refl :args (@t12)) % 0.31/0.56 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t12 @t44))) % 0.31/0.56 (assume-push @p94 @t12) % 0.31/0.56 (step @p32 :rule instantiate :premises (@p6) :args (@t45)) % 0.31/0.56 (step-pop @p95 :rule scope :premises (@p32)) % 0.31/0.56 (step @p33 :rule process_scope :premises (@p95) :args (@t44)) % 0.31/0.56 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 0.31/0.56 (step @p36 :rule implies_elim :premises (@p35)) % 0.31/0.56 (step @p37 :rule chain_m_resolution :premises (@p36 @p6) :args (@t46 @t47 (@list @t12))) % 0.31/0.56 (step @p38 :rule bool-impl-elim :args (@t15 @t48)) % 0.31/0.56 (step @p39 :rule cong :premises (@p38) :args ((forall @t4 (=> @t15 @t48)))) % 0.31/0.56 (step @p40 :rule eq-symm :args (@t3 @t1)) % 0.31/0.56 (step @p41 :rule refl :args (@t15)) % 0.31/0.56 (step @p42 :rule cong :premises (@p41 @p40) :args (@t20)) % 0.31/0.56 (step @p43 :rule cong :premises (@p42) :args (@t21)) % 0.31/0.56 (step @p44 :rule trans :premises (@p43 @p39)) % 0.31/0.56 (step @p45 :rule eq_resolve :premises (@p8 @p44)) % 0.31/0.56 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t30 @t28))) % 0.31/0.56 (step @p47 :rule bool-double-not-elim :args (@t36)) % 0.31/0.56 (step @p48 :rule refl :args (@t38)) % 0.31/0.56 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t38 (not @t37)))) % 0.31/0.56 (step @p50 :rule cnf_or_neg :args (@t38 0)) % 0.31/0.56 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.31/0.56 (step @p52 :rule reordering :premises (@p51) :args ((or @t36 @t38))) % 0.31/0.56 (step @p53 :rule chain_m_resolution :premises (@p52 @p25) :args (@t36 @t39 @t40)) % 0.31/0.56 (step @p54 :rule cnf_or_pos :args (@t50)) % 0.31/0.56 (step @p55 :rule reordering :premises (@p54) :args ((or @t37 @t49 (not @t50)))) % 0.31/0.56 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p46) :args (@t49 @t51 (@list @t36 @t50))) % 0.31/0.56 (step @p57 :rule instantiate :premises (@p45) :args (@t52)) % 0.31/0.56 (step @p58 :rule bool-double-not-elim :args (@t34)) % 0.31/0.56 (step @p59 :rule nary_cong :premises (@p48 @p58) :args ((or @t38 (not @t35)))) % 0.31/0.56 (step @p60 :rule cnf_or_neg :args (@t38 1)) % 0.31/0.56 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.31/0.56 (step @p62 :rule reordering :premises (@p61) :args ((or @t34 @t38))) % 0.31/0.56 (step @p63 :rule chain_m_resolution :premises (@p62 @p25) :args (@t34 @t39 @t40)) % 0.31/0.56 (step @p64 :rule cnf_or_pos :args (@t55)) % 0.31/0.56 (step @p65 :rule reordering :premises (@p64) :args ((or @t35 @t54 (not @t55)))) % 0.31/0.56 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p57) :args (@t54 @t51 (@list @t34 @t55))) % 0.31/0.56 (step @p67 :rule eq-symm :args (@t53 @t41)) % 0.31/0.56 (step @p68 :rule refl :args (@t5)) % 0.31/0.56 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t5 @t56))) % 0.31/0.56 (assume-push @p96 @t5) % 0.31/0.56 (step @p71 :rule instantiate :premises (@p1) :args (@t52)) % 0.31/0.56 (step-pop @p97 :rule scope :premises (@p71)) % 0.31/0.56 (step @p72 :rule process_scope :premises (@p97) :args (@t56)) % 0.31/0.56 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 0.31/0.56 (step @p75 :rule implies_elim :premises (@p74)) % 0.31/0.56 (step @p76 :rule chain_m_resolution :premises (@p75 @p1) :args (@t57 @t47 (@list @t5))) % 0.31/0.56 (assume-push @p98 @t46) % 0.31/0.56 (assume-push @p99 @t49) % 0.31/0.56 (assume-push @p100 @t54) % 0.31/0.56 (assume-push @p101 @t57) % 0.31/0.56 (step @p32 :rule instantiate :premises (@p6) :args (@t45)) % 0.31/0.56 (step @p71 :rule instantiate :premises (@p1) :args (@t52)) % 0.31/0.56 (step @p81 :rule trans :premises (@p66 @p71)) % 0.31/0.56 (step @p82 :rule cong :premises (@p56 @p81) :args (@t32)) % 0.31/0.56 (step @p83 :rule trans :premises (@p82 @p32)) % 0.31/0.56 (step-pop @p102 :rule scope :premises (@p83)) % 0.31/0.56 (step-pop @p103 :rule scope :premises (@p102)) % 0.31/0.56 (step-pop @p104 :rule scope :premises (@p103)) % 0.31/0.56 (step-pop @p105 :rule scope :premises (@p104)) % 0.31/0.56 (step @p84 :rule process_scope :premises (@p105) :args (@t33)) % 0.31/0.56 (step @p89 :rule implies_elim :premises (@p84)) % 0.31/0.56 (step @p90 :rule cnf_and_neg :args (@t58)) % 0.31/0.56 (step @p91 :rule resolution :premises (@p90 @p89) :args (true @t58)) % 0.31/0.56 (step @p92 :rule reordering :premises (@p91) :args ((or @t33 (not @t46) (not @t49) (not @t54) (not @t57)))) % 0.31/0.56 (step @p93 false :rule chain_m_resolution :premises (@p92 @p76 @p66 @p56 @p37 @p27) :args (false (@list false false false false true) (@list @t57 @t54 @t49 @t46 @t33))) % 0.31/0.56 ) % 0.31/0.56 % SZS output end Proof % 0.31/0.56 % cvc5 exiting %------------------------------------------------------------------------------