%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET013-2 : 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 : 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 08:46:55 AM UTC 2026 % Result : Unsatisfiable 0.34s 0.59s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SET013-2 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n014.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 14:40:43 EDT 2026 % 0.19/0.35 % CPUTime : % 0.34/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.59 % SZS status Unsatisfiable % 0.34/0.59 % SZS output start Proof % 0.42/0.59 ( % 0.42/0.59 (declare-sort $$unsorted 0) % 0.42/0.59 (declare-const tptp.ds $$unsorted) % 0.42/0.59 (declare-const tptp.equal_elements (-> $$unsorted $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.equal_sets (-> $$unsorted $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.bs $$unsorted) % 0.42/0.59 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.42/0.59 (declare-const tptp.member_of_1_not_of_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.cs $$unsorted) % 0.42/0.59 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.59 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.as $$unsorted) % 0.42/0.59 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.59 (declare-const tptp.empty_set $$unsorted) % 0.42/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.42/0.59 (define @t2 () (@list @t1)) % 0.42/0.59 (define @t3 () (@var "Superset" $$unsorted)) % 0.42/0.59 (define @t4 () (@var "Element" $$unsorted)) % 0.42/0.59 (define @t5 () (@var "Subset" $$unsorted)) % 0.42/0.59 (define @t6 () (tptp.subset @t5 @t3)) % 0.42/0.59 (define @t7 () (tptp.member_of_1_not_of_2 @t5 @t3)) % 0.42/0.59 (define @t8 () (@list @t5 @t3)) % 0.42/0.59 (define @t9 () (@var "Xs" $$unsorted)) % 0.42/0.59 (define @t10 () (tptp.member @t1 (tptp.complement @t9))) % 0.42/0.59 (define @t11 () (tptp.member @t1 @t9)) % 0.42/0.59 (define @t12 () (@list @t1 @t9)) % 0.42/0.59 (define @t13 () (not @t11)) % 0.42/0.59 (define @t14 () (@var "Ys" $$unsorted)) % 0.42/0.59 (define @t15 () (tptp.member @t1 (tptp.union @t9 @t14))) % 0.42/0.59 (define @t16 () (@list @t1 @t9 @t14)) % 0.42/0.59 (define @t17 () (tptp.member @t1 @t14)) % 0.42/0.59 (define @t18 () (not @t17)) % 0.42/0.59 (define @t19 () (tptp.member @t1 (tptp.intersection @t9 @t14))) % 0.42/0.59 (define @t20 () (not @t19)) % 0.42/0.59 (define @t21 () (@var "Set1" $$unsorted)) % 0.42/0.59 (define @t22 () (@var "Set2" $$unsorted)) % 0.42/0.59 (define @t23 () (not (tptp.equal_sets @t9 @t14))) % 0.42/0.59 (define @t24 () (@var "Zs" $$unsorted)) % 0.42/0.59 (define @t25 () (@var "Y" $$unsorted)) % 0.42/0.59 (define @t26 () (not (tptp.equal_elements @t1 @t25))) % 0.42/0.59 (define @t27 () (@var "Z" $$unsorted)) % 0.42/0.59 (define @t28 () (tptp.intersection tptp.as tptp.bs)) % 0.42/0.59 (define @t29 () (tptp.equal_sets @t28 tptp.cs)) % 0.42/0.59 (define @t30 () (tptp.intersection tptp.bs tptp.as)) % 0.42/0.59 (define @t31 () (tptp.equal_sets @t30 tptp.ds)) % 0.42/0.59 (define @t32 () (tptp.equal_sets tptp.cs tptp.ds)) % 0.42/0.59 (define @t33 () (@list @t30 @t28)) % 0.42/0.59 (define @t34 () (@list @t28 @t30)) % 0.42/0.59 (define @t35 () (tptp.member_of_1_not_of_2 @t28 @t30)) % 0.42/0.59 (define @t36 () (tptp.member @t35 @t28)) % 0.42/0.59 (define @t37 () (tptp.subset @t28 @t30)) % 0.42/0.59 (define @t38 () (or @t37 @t36)) % 0.42/0.59 (define @t39 () (tptp.member @t35 @t30)) % 0.42/0.59 (define @t40 () (not @t39)) % 0.42/0.59 (define @t41 () (or @t40 @t37)) % 0.42/0.59 (define @t42 () (@list @t35 tptp.as tptp.bs)) % 0.42/0.59 (define @t43 () (tptp.member @t35 tptp.as)) % 0.42/0.59 (define @t44 () (not @t36)) % 0.42/0.59 (define @t45 () (or @t44 @t43)) % 0.42/0.59 (define @t46 () (tptp.member @t35 tptp.bs)) % 0.42/0.59 (define @t47 () (or @t44 @t46)) % 0.42/0.59 (define @t48 () (not @t43)) % 0.42/0.59 (define @t49 () (not @t46)) % 0.42/0.59 (define @t50 () (or @t49 @t48 @t39)) % 0.42/0.59 (define @t51 () (tptp.equal_sets tptp.ds @t30)) % 0.42/0.59 (define @t52 () (not @t31)) % 0.42/0.59 (define @t53 () (or @t52 @t51)) % 0.42/0.59 (define @t54 () (@list false false)) % 0.42/0.59 (define @t55 () (tptp.equal_sets tptp.ds tptp.cs)) % 0.42/0.59 (define @t56 () (not @t55)) % 0.42/0.59 (define @t57 () (or @t56 @t32)) % 0.42/0.59 (define @t58 () (@list true false)) % 0.42/0.59 (define @t59 () (tptp.equal_sets @t30 tptp.cs)) % 0.42/0.60 (define @t60 () (not @t59)) % 0.42/0.60 (define @t61 () (not @t51)) % 0.42/0.60 (define @t62 () (or @t61 @t60 @t55)) % 0.42/0.60 (define @t63 () (@list true false false)) % 0.42/0.60 (define @t64 () (tptp.equal_sets tptp.cs @t30)) % 0.42/0.60 (define @t65 () (not @t64)) % 0.42/0.60 (define @t66 () (or @t65 @t59)) % 0.42/0.60 (define @t67 () (tptp.equal_sets tptp.cs @t28)) % 0.42/0.60 (define @t68 () (not @t29)) % 0.42/0.60 (define @t69 () (or @t68 @t67)) % 0.42/0.60 (define @t70 () (tptp.equal_sets @t28 @t30)) % 0.42/0.60 (define @t71 () (not @t70)) % 0.42/0.60 (define @t72 () (not @t67)) % 0.42/0.60 (define @t73 () (or @t72 @t71 @t64)) % 0.42/0.60 (define @t74 () (not @t37)) % 0.42/0.60 (define @t75 () (tptp.subset @t30 @t28)) % 0.42/0.60 (define @t76 () (not @t75)) % 0.42/0.60 (define @t77 () (or @t76 @t74 @t70)) % 0.42/0.60 (define @t78 () (tptp.member_of_1_not_of_2 @t30 @t28)) % 0.42/0.60 (define @t79 () (tptp.member @t78 @t28)) % 0.42/0.60 (define @t80 () (not @t79)) % 0.42/0.60 (define @t81 () (or @t80 @t75)) % 0.42/0.60 (define @t82 () (@list @t78 tptp.bs tptp.as)) % 0.42/0.60 (define @t83 () (tptp.member @t78 @t30)) % 0.42/0.60 (define @t84 () (or @t75 @t83)) % 0.42/0.60 (define @t85 () (tptp.member @t78 tptp.bs)) % 0.42/0.60 (define @t86 () (not @t83)) % 0.42/0.60 (define @t87 () (or @t86 @t85)) % 0.42/0.60 (define @t88 () (tptp.member @t78 tptp.as)) % 0.42/0.60 (define @t89 () (or @t86 @t88)) % 0.42/0.60 (define @t90 () (not @t85)) % 0.42/0.60 (define @t91 () (not @t88)) % 0.42/0.60 (define @t92 () (or @t91 @t90 @t79)) % 0.42/0.60 (assume @p1 (forall @t2 (not (tptp.member @t1 tptp.empty_set)))) % 0.42/0.60 (assume @p2 (forall (@list @t4 @t5 @t3) (or (not (tptp.member @t4 @t5)) (not @t6) (tptp.member @t4 @t3)))) % 0.42/0.60 (assume @p3 (forall @t8 (or @t6 (tptp.member @t7 @t5)))) % 0.42/0.60 (assume @p4 (forall @t8 (or (not (tptp.member @t7 @t3)) @t6))) % 0.42/0.60 (assume @p5 (forall @t12 (or @t11 @t10))) % 0.42/0.60 (assume @p6 (forall @t12 (or @t13 (not @t10)))) % 0.42/0.60 (assume @p7 (forall @t16 (or @t13 @t15))) % 0.42/0.60 (assume @p8 (forall (@list @t1 @t14 @t9) (or @t18 @t15))) % 0.42/0.60 (assume @p9 (forall @t16 (or (not @t15) @t11 @t17))) % 0.42/0.60 (assume @p10 (forall @t16 (or @t13 @t18 @t19))) % 0.42/0.60 (assume @p11 (forall @t16 (or @t20 @t11))) % 0.42/0.60 (assume @p12 (forall @t16 (or @t20 @t17))) % 0.42/0.60 (assume @p13 (forall @t8 (or (not (tptp.equal_sets @t5 @t3)) @t6))) % 0.42/0.60 (assume @p14 (forall (@list @t3 @t5) (or (not (tptp.equal_sets @t3 @t5)) @t6))) % 0.42/0.60 (assume @p15 (forall (@list @t21 @t22) (or (not (tptp.subset @t21 @t22)) (not (tptp.subset @t22 @t21)) (tptp.equal_sets @t22 @t21)))) % 0.42/0.60 (assume @p16 (forall (@list @t9) (tptp.equal_sets @t9 @t9))) % 0.42/0.60 (assume @p17 (forall (@list @t9 @t14) (or @t23 (tptp.equal_sets @t14 @t9)))) % 0.42/0.60 (assume @p18 (forall (@list @t9 @t14 @t24) (or @t23 (not (tptp.equal_sets @t14 @t24)) (tptp.equal_sets @t9 @t24)))) % 0.42/0.60 (assume @p19 (forall @t2 (tptp.equal_elements @t1 @t1))) % 0.42/0.60 (assume @p20 (forall (@list @t1 @t25) (or @t26 (tptp.equal_elements @t25 @t1)))) % 0.42/0.60 (assume @p21 (forall (@list @t1 @t25 @t27) (or @t26 (not (tptp.equal_elements @t25 @t27)) (tptp.equal_elements @t1 @t27)))) % 0.42/0.60 (assume @p22 @t29) % 0.42/0.60 (assume @p23 @t31) % 0.42/0.60 (assume @p24 (not @t32)) % 0.42/0.60 (step @p25 :rule instantiate :premises (@p4) :args (@t33)) % 0.42/0.60 (step @p26 :rule instantiate :premises (@p15) :args (@t33)) % 0.42/0.60 (step @p27 :rule instantiate :premises (@p3) :args (@t34)) % 0.42/0.60 (step @p28 :rule cnf_or_pos :args (@t38)) % 0.42/0.60 (step @p29 :rule reordering :premises (@p28) :args ((or @t37 @t36 (not @t38)))) % 0.42/0.60 (step @p30 :rule instantiate :premises (@p4) :args (@t34)) % 0.42/0.60 (step @p31 :rule cnf_or_pos :args (@t41)) % 0.42/0.60 (step @p32 :rule reordering :premises (@p31) :args ((or @t37 @t40 (not @t41)))) % 0.42/0.60 (step @p33 :rule instantiate :premises (@p11) :args (@t42)) % 0.42/0.60 (step @p34 :rule cnf_or_pos :args (@t45)) % 0.42/0.60 (step @p35 :rule reordering :premises (@p34) :args ((or @t44 @t43 (not @t45)))) % 0.42/0.60 (step @p36 :rule instantiate :premises (@p12) :args (@t42)) % 0.42/0.60 (step @p37 :rule cnf_or_pos :args (@t47)) % 0.42/0.60 (step @p38 :rule reordering :premises (@p37) :args ((or @t44 @t46 (not @t47)))) % 0.42/0.60 (step @p39 :rule instantiate :premises (@p10) :args ((@list @t35 tptp.bs tptp.as))) % 0.42/0.60 (step @p40 :rule cnf_or_pos :args (@t50)) % 0.42/0.60 (step @p41 :rule reordering :premises (@p40) :args ((or @t39 @t49 @t48 (not @t50)))) % 0.42/0.60 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p38 @p36 @p35 @p33 @p32 @p30 @p29 @p27) :args (@t37 (@list false false false false false true false false false) (@list @t50 @t46 @t47 @t43 @t45 @t39 @t41 @t36 @t38))) % 0.42/0.60 (step @p43 :rule instantiate :premises (@p18) :args ((@list tptp.cs @t28 @t30))) % 0.42/0.60 (step @p44 :rule instantiate :premises (@p17) :args ((@list tptp.cs @t30))) % 0.42/0.60 (step @p45 :rule instantiate :premises (@p18) :args ((@list tptp.ds @t30 tptp.cs))) % 0.42/0.60 (step @p46 :rule instantiate :premises (@p17) :args ((@list @t30 tptp.ds))) % 0.42/0.60 (step @p47 :rule cnf_or_pos :args (@t53)) % 0.42/0.60 (step @p48 :rule reordering :premises (@p47) :args ((or @t52 @t51 (not @t53)))) % 0.42/0.60 (step @p49 :rule chain_m_resolution :premises (@p48 @p23 @p46) :args (@t51 @t54 (@list @t31 @t53))) % 0.42/0.60 (step @p50 :rule instantiate :premises (@p17) :args ((@list tptp.ds tptp.cs))) % 0.42/0.60 (step @p51 :rule cnf_or_pos :args (@t57)) % 0.42/0.60 (step @p52 :rule reordering :premises (@p51) :args ((or @t32 @t56 (not @t57)))) % 0.42/0.60 (step @p53 :rule chain_m_resolution :premises (@p52 @p24 @p50) :args (@t56 @t58 (@list @t32 @t57))) % 0.42/0.60 (step @p54 :rule cnf_or_pos :args (@t62)) % 0.42/0.60 (step @p55 :rule reordering :premises (@p54) :args ((or @t55 @t61 @t60 (not @t62)))) % 0.42/0.60 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p49 @p45) :args (@t60 @t63 (@list @t55 @t51 @t62))) % 0.42/0.60 (step @p57 :rule cnf_or_pos :args (@t66)) % 0.42/0.60 (step @p58 :rule reordering :premises (@p57) :args ((or @t59 @t65 (not @t66)))) % 0.42/0.60 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p44) :args (@t65 @t58 (@list @t59 @t66))) % 0.42/0.60 (step @p60 :rule instantiate :premises (@p17) :args ((@list @t28 tptp.cs))) % 0.42/0.60 (step @p61 :rule cnf_or_pos :args (@t69)) % 0.42/0.60 (step @p62 :rule reordering :premises (@p61) :args ((or @t68 @t67 (not @t69)))) % 0.42/0.60 (step @p63 :rule chain_m_resolution :premises (@p62 @p22 @p60) :args (@t67 @t54 (@list @t29 @t69))) % 0.42/0.60 (step @p64 :rule cnf_or_pos :args (@t73)) % 0.42/0.60 (step @p65 :rule reordering :premises (@p64) :args ((or @t72 @t64 @t71 (not @t73)))) % 0.42/0.60 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p59 @p43) :args (@t71 (@list false true false) (@list @t67 @t64 @t73))) % 0.42/0.60 (step @p67 :rule cnf_or_pos :args (@t77)) % 0.42/0.60 (step @p68 :rule reordering :premises (@p67) :args ((or @t70 @t76 @t74 (not @t77)))) % 0.42/0.60 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p42 @p26) :args (@t76 @t63 (@list @t70 @t37 @t77))) % 0.42/0.60 (step @p70 :rule cnf_or_pos :args (@t81)) % 0.42/0.60 (step @p71 :rule reordering :premises (@p70) :args ((or @t75 @t80 (not @t81)))) % 0.42/0.60 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p25) :args (@t80 @t58 (@list @t75 @t81))) % 0.42/0.60 (step @p73 :rule instantiate :premises (@p10) :args ((@list @t78 tptp.as tptp.bs))) % 0.42/0.60 (step @p74 :rule instantiate :premises (@p11) :args (@t82)) % 0.42/0.60 (step @p75 :rule instantiate :premises (@p3) :args (@t33)) % 0.42/0.60 (step @p76 :rule cnf_or_pos :args (@t84)) % 0.42/0.60 (step @p77 :rule reordering :premises (@p76) :args ((or @t75 @t83 (not @t84)))) % 0.42/0.60 (step @p78 :rule chain_m_resolution :premises (@p77 @p69 @p75) :args (@t83 @t58 (@list @t75 @t84))) % 0.42/0.60 (step @p79 :rule cnf_or_pos :args (@t87)) % 0.42/0.60 (step @p80 :rule reordering :premises (@p79) :args ((or @t86 @t85 (not @t87)))) % 0.42/0.60 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p74) :args (@t85 @t54 (@list @t83 @t87))) % 0.42/0.60 (step @p82 :rule instantiate :premises (@p12) :args (@t82)) % 0.42/0.60 (step @p83 :rule cnf_or_pos :args (@t89)) % 0.42/0.60 (step @p84 :rule reordering :premises (@p83) :args ((or @t86 @t88 (not @t89)))) % 0.42/0.60 (step @p85 :rule chain_m_resolution :premises (@p84 @p78 @p82) :args (@t88 @t54 (@list @t83 @t89))) % 0.42/0.60 (step @p86 :rule cnf_or_pos :args (@t92)) % 0.42/0.60 (step @p87 :rule reordering :premises (@p86) :args ((or @t79 @t91 @t90 (not @t92)))) % 0.42/0.60 (step @p88 false :rule chain_m_resolution :premises (@p87 @p85 @p81 @p73 @p72) :args (false (@list false false false true) (@list @t88 @t85 @t92 @t79))) % 0.42/0.60 ) % 0.42/0.60 % SZS output end Proof % 0.42/0.60 % cvc5 exiting %------------------------------------------------------------------------------