%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET015-2 : TPTP v9.2.1. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:46:56 AM UTC 2026 % Result : Unsatisfiable 0.40s 0.59s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET015-2 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n009.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 14:40:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.59 % SZS status Unsatisfiable % 0.40/0.59 % SZS output start Proof % 0.40/0.60 ( % 0.40/0.60 (declare-sort $$unsorted 0) % 0.40/0.60 (declare-const tptp.ds $$unsorted) % 0.40/0.60 (declare-const tptp.equal_elements (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.equal_sets (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.bs $$unsorted) % 0.40/0.60 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.member_of_1_not_of_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.cs $$unsorted) % 0.40/0.60 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.40/0.60 (declare-const tptp.as $$unsorted) % 0.40/0.60 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.60 (declare-const tptp.empty_set $$unsorted) % 0.40/0.60 (define @t1 () (@var "X" $$unsorted)) % 0.40/0.60 (define @t2 () (@list @t1)) % 0.40/0.60 (define @t3 () (@var "Superset" $$unsorted)) % 0.40/0.60 (define @t4 () (@var "Element" $$unsorted)) % 0.40/0.60 (define @t5 () (@var "Subset" $$unsorted)) % 0.40/0.60 (define @t6 () (tptp.subset @t5 @t3)) % 0.40/0.60 (define @t7 () (tptp.member_of_1_not_of_2 @t5 @t3)) % 0.40/0.60 (define @t8 () (@list @t5 @t3)) % 0.40/0.60 (define @t9 () (@var "Xs" $$unsorted)) % 0.40/0.60 (define @t10 () (tptp.member @t1 (tptp.complement @t9))) % 0.40/0.60 (define @t11 () (tptp.member @t1 @t9)) % 0.40/0.60 (define @t12 () (@list @t1 @t9)) % 0.40/0.60 (define @t13 () (not @t11)) % 0.40/0.60 (define @t14 () (@var "Ys" $$unsorted)) % 0.40/0.60 (define @t15 () (tptp.member @t1 (tptp.union @t9 @t14))) % 0.40/0.60 (define @t16 () (@list @t1 @t9 @t14)) % 0.40/0.60 (define @t17 () (tptp.member @t1 @t14)) % 0.40/0.60 (define @t18 () (not @t17)) % 0.40/0.60 (define @t19 () (tptp.member @t1 (tptp.intersection @t9 @t14))) % 0.40/0.60 (define @t20 () (not @t19)) % 0.40/0.60 (define @t21 () (@var "Set1" $$unsorted)) % 0.40/0.60 (define @t22 () (@var "Set2" $$unsorted)) % 0.40/0.60 (define @t23 () (not (tptp.equal_sets @t9 @t14))) % 0.40/0.60 (define @t24 () (@var "Zs" $$unsorted)) % 0.40/0.60 (define @t25 () (@var "Y" $$unsorted)) % 0.40/0.60 (define @t26 () (not (tptp.equal_elements @t1 @t25))) % 0.40/0.60 (define @t27 () (@var "Z" $$unsorted)) % 0.40/0.60 (define @t28 () (tptp.union tptp.as tptp.bs)) % 0.40/0.60 (define @t29 () (tptp.equal_sets @t28 tptp.cs)) % 0.40/0.60 (define @t30 () (tptp.union tptp.bs tptp.as)) % 0.40/0.60 (define @t31 () (tptp.equal_sets @t30 tptp.ds)) % 0.40/0.60 (define @t32 () (tptp.equal_sets tptp.cs tptp.ds)) % 0.40/0.60 (define @t33 () (tptp.member_of_1_not_of_2 @t28 @t30)) % 0.40/0.60 (define @t34 () (@list @t33 tptp.as tptp.bs)) % 0.40/0.60 (define @t35 () (@list @t28 @t30)) % 0.40/0.60 (define @t36 () (@list @t30 @t28)) % 0.40/0.60 (define @t37 () (tptp.member_of_1_not_of_2 @t30 @t28)) % 0.40/0.60 (define @t38 () (tptp.member @t37 @t30)) % 0.40/0.60 (define @t39 () (tptp.subset @t30 @t28)) % 0.40/0.60 (define @t40 () (or @t39 @t38)) % 0.40/0.60 (define @t41 () (tptp.member @t37 @t28)) % 0.40/0.60 (define @t42 () (not @t41)) % 0.40/0.60 (define @t43 () (or @t42 @t39)) % 0.40/0.60 (define @t44 () (tptp.member @t37 tptp.as)) % 0.40/0.60 (define @t45 () (not @t44)) % 0.40/0.60 (define @t46 () (or @t45 @t41)) % 0.40/0.60 (define @t47 () (@list @t37 tptp.bs tptp.as)) % 0.40/0.60 (define @t48 () (tptp.member @t37 tptp.bs)) % 0.40/0.60 (define @t49 () (not @t48)) % 0.40/0.60 (define @t50 () (or @t49 @t41)) % 0.40/0.60 (define @t51 () (not @t38)) % 0.40/0.60 (define @t52 () (or @t51 @t48 @t44)) % 0.40/0.60 (define @t53 () (tptp.equal_sets tptp.ds @t30)) % 0.40/0.60 (define @t54 () (not @t31)) % 0.40/0.60 (define @t55 () (or @t54 @t53)) % 0.40/0.60 (define @t56 () (@list false false)) % 0.40/0.60 (define @t57 () (tptp.equal_sets tptp.ds tptp.cs)) % 0.40/0.60 (define @t58 () (not @t57)) % 0.40/0.60 (define @t59 () (or @t58 @t32)) % 0.40/0.60 (define @t60 () (@list true false)) % 0.40/0.60 (define @t61 () (tptp.equal_sets @t30 tptp.cs)) % 0.40/0.60 (define @t62 () (not @t61)) % 0.40/0.60 (define @t63 () (not @t53)) % 0.40/0.60 (define @t64 () (or @t63 @t62 @t57)) % 0.40/0.60 (define @t65 () (@list true false false)) % 0.40/0.60 (define @t66 () (tptp.equal_sets tptp.cs @t30)) % 0.40/0.60 (define @t67 () (not @t66)) % 0.40/0.60 (define @t68 () (or @t67 @t61)) % 0.40/0.60 (define @t69 () (tptp.equal_sets tptp.cs @t28)) % 0.40/0.60 (define @t70 () (not @t29)) % 0.40/0.60 (define @t71 () (or @t70 @t69)) % 0.40/0.60 (define @t72 () (tptp.equal_sets @t28 @t30)) % 0.40/0.60 (define @t73 () (not @t72)) % 0.40/0.60 (define @t74 () (not @t69)) % 0.40/0.60 (define @t75 () (or @t74 @t73 @t66)) % 0.40/0.60 (define @t76 () (@list false true false)) % 0.40/0.60 (define @t77 () (tptp.subset @t28 @t30)) % 0.40/0.60 (define @t78 () (not @t77)) % 0.40/0.60 (define @t79 () (not @t39)) % 0.40/0.60 (define @t80 () (or @t79 @t78 @t72)) % 0.40/0.60 (define @t81 () (tptp.member @t33 @t30)) % 0.40/0.60 (define @t82 () (not @t81)) % 0.40/0.60 (define @t83 () (or @t82 @t77)) % 0.40/0.60 (define @t84 () (tptp.member @t33 @t28)) % 0.40/0.60 (define @t85 () (or @t77 @t84)) % 0.40/0.60 (define @t86 () (tptp.member @t33 tptp.bs)) % 0.40/0.60 (define @t87 () (tptp.member @t33 tptp.as)) % 0.40/0.60 (define @t88 () (not @t84)) % 0.40/0.60 (define @t89 () (or @t88 @t87 @t86)) % 0.40/0.60 (define @t90 () (not @t86)) % 0.40/0.60 (define @t91 () (or @t90 @t81)) % 0.40/0.60 (define @t92 () (not @t87)) % 0.40/0.60 (define @t93 () (or @t92 @t81)) % 0.40/0.60 (assume @p1 (forall @t2 (not (tptp.member @t1 tptp.empty_set)))) % 0.40/0.60 (assume @p2 (forall (@list @t4 @t5 @t3) (or (not (tptp.member @t4 @t5)) (not @t6) (tptp.member @t4 @t3)))) % 0.40/0.60 (assume @p3 (forall @t8 (or @t6 (tptp.member @t7 @t5)))) % 0.40/0.60 (assume @p4 (forall @t8 (or (not (tptp.member @t7 @t3)) @t6))) % 0.40/0.60 (assume @p5 (forall @t12 (or @t11 @t10))) % 0.40/0.60 (assume @p6 (forall @t12 (or @t13 (not @t10)))) % 0.40/0.60 (assume @p7 (forall @t16 (or @t13 @t15))) % 0.40/0.60 (assume @p8 (forall (@list @t1 @t14 @t9) (or @t18 @t15))) % 0.40/0.60 (assume @p9 (forall @t16 (or (not @t15) @t11 @t17))) % 0.40/0.60 (assume @p10 (forall @t16 (or @t13 @t18 @t19))) % 0.40/0.60 (assume @p11 (forall @t16 (or @t20 @t11))) % 0.40/0.60 (assume @p12 (forall @t16 (or @t20 @t17))) % 0.40/0.60 (assume @p13 (forall @t8 (or (not (tptp.equal_sets @t5 @t3)) @t6))) % 0.40/0.60 (assume @p14 (forall (@list @t3 @t5) (or (not (tptp.equal_sets @t3 @t5)) @t6))) % 0.40/0.60 (assume @p15 (forall (@list @t21 @t22) (or (not (tptp.subset @t21 @t22)) (not (tptp.subset @t22 @t21)) (tptp.equal_sets @t22 @t21)))) % 0.40/0.60 (assume @p16 (forall (@list @t9) (tptp.equal_sets @t9 @t9))) % 0.40/0.60 (assume @p17 (forall (@list @t9 @t14) (or @t23 (tptp.equal_sets @t14 @t9)))) % 0.40/0.60 (assume @p18 (forall (@list @t9 @t14 @t24) (or @t23 (not (tptp.equal_sets @t14 @t24)) (tptp.equal_sets @t9 @t24)))) % 0.40/0.60 (assume @p19 (forall @t2 (tptp.equal_elements @t1 @t1))) % 0.40/0.60 (assume @p20 (forall (@list @t1 @t25) (or @t26 (tptp.equal_elements @t25 @t1)))) % 0.40/0.60 (assume @p21 (forall (@list @t1 @t25 @t27) (or @t26 (not (tptp.equal_elements @t25 @t27)) (tptp.equal_elements @t1 @t27)))) % 0.40/0.60 (assume @p22 @t29) % 0.40/0.60 (assume @p23 @t31) % 0.40/0.60 (assume @p24 (not @t32)) % 0.40/0.60 (step @p25 :rule instantiate :premises (@p8) :args (@t34)) % 0.40/0.60 (step @p26 :rule instantiate :premises (@p4) :args (@t35)) % 0.40/0.60 (step @p27 :rule instantiate :premises (@p15) :args (@t36)) % 0.40/0.60 (step @p28 :rule instantiate :premises (@p3) :args (@t36)) % 0.40/0.60 (step @p29 :rule cnf_or_pos :args (@t40)) % 0.40/0.60 (step @p30 :rule reordering :premises (@p29) :args ((or @t39 @t38 (not @t40)))) % 0.40/0.60 (step @p31 :rule instantiate :premises (@p4) :args (@t36)) % 0.40/0.60 (step @p32 :rule cnf_or_pos :args (@t43)) % 0.40/0.60 (step @p33 :rule reordering :premises (@p32) :args ((or @t39 @t42 (not @t43)))) % 0.40/0.60 (step @p34 :rule instantiate :premises (@p7) :args ((@list @t37 tptp.as tptp.bs))) % 0.40/0.60 (step @p35 :rule cnf_or_pos :args (@t46)) % 0.40/0.60 (step @p36 :rule reordering :premises (@p35) :args ((or @t41 @t45 (not @t46)))) % 0.40/0.60 (step @p37 :rule instantiate :premises (@p8) :args (@t47)) % 0.40/0.60 (step @p38 :rule cnf_or_pos :args (@t50)) % 0.40/0.60 (step @p39 :rule reordering :premises (@p38) :args ((or @t41 @t49 (not @t50)))) % 0.40/0.60 (step @p40 :rule instantiate :premises (@p9) :args (@t47)) % 0.40/0.60 (step @p41 :rule cnf_or_pos :args (@t52)) % 0.40/0.60 (step @p42 :rule reordering :premises (@p41) :args ((or @t51 @t44 @t48 (not @t52)))) % 0.40/0.60 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p39 @p37 @p36 @p34 @p33 @p31 @p30 @p28) :args (@t39 (@list false true false true false true false false false) (@list @t52 @t48 @t50 @t44 @t46 @t41 @t43 @t38 @t40))) % 0.40/0.60 (step @p44 :rule instantiate :premises (@p18) :args ((@list tptp.cs @t28 @t30))) % 0.40/0.60 (step @p45 :rule instantiate :premises (@p17) :args ((@list tptp.cs @t30))) % 0.40/0.60 (step @p46 :rule instantiate :premises (@p18) :args ((@list tptp.ds @t30 tptp.cs))) % 0.40/0.60 (step @p47 :rule instantiate :premises (@p17) :args ((@list @t30 tptp.ds))) % 0.40/0.60 (step @p48 :rule cnf_or_pos :args (@t55)) % 0.40/0.60 (step @p49 :rule reordering :premises (@p48) :args ((or @t54 @t53 (not @t55)))) % 0.40/0.60 (step @p50 :rule chain_m_resolution :premises (@p49 @p23 @p47) :args (@t53 @t56 (@list @t31 @t55))) % 0.40/0.60 (step @p51 :rule instantiate :premises (@p17) :args ((@list tptp.ds tptp.cs))) % 0.40/0.60 (step @p52 :rule cnf_or_pos :args (@t59)) % 0.40/0.60 (step @p53 :rule reordering :premises (@p52) :args ((or @t32 @t58 (not @t59)))) % 0.40/0.60 (step @p54 :rule chain_m_resolution :premises (@p53 @p24 @p51) :args (@t58 @t60 (@list @t32 @t59))) % 0.40/0.60 (step @p55 :rule cnf_or_pos :args (@t64)) % 0.40/0.60 (step @p56 :rule reordering :premises (@p55) :args ((or @t57 @t63 @t62 (not @t64)))) % 0.40/0.60 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p50 @p46) :args (@t62 @t65 (@list @t57 @t53 @t64))) % 0.40/0.60 (step @p58 :rule cnf_or_pos :args (@t68)) % 0.40/0.60 (step @p59 :rule reordering :premises (@p58) :args ((or @t61 @t67 (not @t68)))) % 0.40/0.60 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p45) :args (@t67 @t60 (@list @t61 @t68))) % 0.40/0.60 (step @p61 :rule instantiate :premises (@p17) :args ((@list @t28 tptp.cs))) % 0.40/0.60 (step @p62 :rule cnf_or_pos :args (@t71)) % 0.40/0.60 (step @p63 :rule reordering :premises (@p62) :args ((or @t70 @t69 (not @t71)))) % 0.40/0.60 (step @p64 :rule chain_m_resolution :premises (@p63 @p22 @p61) :args (@t69 @t56 (@list @t29 @t71))) % 0.40/0.60 (step @p65 :rule cnf_or_pos :args (@t75)) % 0.40/0.60 (step @p66 :rule reordering :premises (@p65) :args ((or @t74 @t66 @t73 (not @t75)))) % 0.40/0.60 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p60 @p44) :args (@t73 @t76 (@list @t69 @t66 @t75))) % 0.40/0.60 (step @p68 :rule cnf_or_pos :args (@t80)) % 0.40/0.60 (step @p69 :rule reordering :premises (@p68) :args ((or @t72 @t79 @t78 (not @t80)))) % 0.40/0.60 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p43 @p27) :args (@t78 @t65 (@list @t72 @t39 @t80))) % 0.40/0.60 (step @p71 :rule cnf_or_pos :args (@t83)) % 0.40/0.60 (step @p72 :rule reordering :premises (@p71) :args ((or @t77 @t82 (not @t83)))) % 0.40/0.60 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p26) :args (@t82 @t60 (@list @t77 @t83))) % 0.40/0.60 (step @p74 :rule instantiate :premises (@p3) :args (@t35)) % 0.40/0.60 (step @p75 :rule cnf_or_pos :args (@t85)) % 0.40/0.60 (step @p76 :rule reordering :premises (@p75) :args ((or @t77 @t84 (not @t85)))) % 0.40/0.60 (step @p77 :rule instantiate :premises (@p9) :args (@t34)) % 0.40/0.60 (step @p78 :rule cnf_or_pos :args (@t89)) % 0.40/0.60 (step @p79 :rule reordering :premises (@p78) :args ((or @t88 @t86 @t87 (not @t89)))) % 0.40/0.60 (step @p80 :rule instantiate :premises (@p7) :args ((@list @t33 tptp.bs tptp.as))) % 0.40/0.60 (step @p81 :rule cnf_or_pos :args (@t91)) % 0.40/0.60 (step @p82 :rule reordering :premises (@p81) :args ((or @t81 @t90 (not @t91)))) % 0.40/0.60 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p79 @p77 @p72 @p26 @p76 @p74) :args ((or @t77 @t87) (@list false false false true false false false) (@list @t91 @t86 @t89 @t81 @t83 @t84 @t85))) % 0.40/0.60 (step @p84 :rule chain_m_resolution :premises (@p83 @p70) :args (@t87 (@list true) (@list @t77))) % 0.40/0.60 (step @p85 :rule cnf_or_pos :args (@t93)) % 0.40/0.60 (step @p86 :rule reordering :premises (@p85) :args ((or @t81 @t92 (not @t93)))) % 0.40/0.60 (step @p87 false :rule chain_m_resolution :premises (@p86 @p84 @p73 @p25) :args (false @t76 (@list @t87 @t81 @t93))) % 0.40/0.60 ) % 0.40/0.60 % SZS output end Proof % 0.40/0.60 % cvc5 exiting %------------------------------------------------------------------------------