%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET005-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:46:52 AM UTC 2026 % Result : Unsatisfiable 0.33s 0.56s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET005-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:39:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.33/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.56 % SZS status Unsatisfiable % 0.33/0.56 % SZS output start Proof % 0.33/0.56 ( % 0.33/0.56 (declare-sort $$unsorted 0) % 0.33/0.56 (declare-const tptp.aIbIc $$unsorted) % 0.33/0.56 (declare-const tptp.c $$unsorted) % 0.33/0.56 (declare-const tptp.a $$unsorted) % 0.33/0.56 (declare-const tptp.aIb $$unsorted) % 0.33/0.56 (declare-const tptp.h (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.33/0.56 (declare-const tptp.equal_sets (-> $$unsorted $$unsorted Bool)) % 0.33/0.56 (declare-const tptp.b $$unsorted) % 0.33/0.56 (declare-const tptp.member_of_1_not_of_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.56 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.33/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.33/0.56 (declare-const tptp.bIc $$unsorted) % 0.33/0.56 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.33/0.56 (define @t1 () (@var "Superset" $$unsorted)) % 0.33/0.56 (define @t2 () (@var "Element" $$unsorted)) % 0.33/0.56 (define @t3 () (@var "Subset" $$unsorted)) % 0.33/0.56 (define @t4 () (tptp.subset @t3 @t1)) % 0.33/0.56 (define @t5 () (tptp.member_of_1_not_of_2 @t3 @t1)) % 0.33/0.56 (define @t6 () (@list @t3 @t1)) % 0.33/0.56 (define @t7 () (@var "Set1" $$unsorted)) % 0.33/0.56 (define @t8 () (@var "Set2" $$unsorted)) % 0.33/0.56 (define @t9 () (tptp.member @t2 @t7)) % 0.33/0.56 (define @t10 () (@var "Intersection" $$unsorted)) % 0.33/0.56 (define @t11 () (tptp.member @t2 @t10)) % 0.33/0.56 (define @t12 () (not @t11)) % 0.33/0.56 (define @t13 () (tptp.intersection @t7 @t8 @t10)) % 0.33/0.56 (define @t14 () (not @t13)) % 0.33/0.56 (define @t15 () (@list @t7 @t8 @t10 @t2)) % 0.33/0.56 (define @t16 () (tptp.member @t2 @t8)) % 0.33/0.56 (define @t17 () (tptp.h @t7 @t8 @t10)) % 0.33/0.56 (define @t18 () (tptp.member @t17 @t7)) % 0.33/0.56 (define @t19 () (tptp.member @t17 @t10)) % 0.33/0.56 (define @t20 () (@list @t7 @t8 @t10)) % 0.33/0.56 (define @t21 () (tptp.member @t17 @t8)) % 0.33/0.56 (define @t22 () (tptp.intersection tptp.a tptp.b tptp.aIb)) % 0.33/0.56 (define @t23 () (tptp.intersection tptp.b tptp.c tptp.bIc)) % 0.33/0.56 (define @t24 () (tptp.intersection tptp.a tptp.bIc tptp.aIbIc)) % 0.33/0.56 (define @t25 () (tptp.intersection tptp.aIb tptp.c tptp.aIbIc)) % 0.33/0.56 (define @t26 () (tptp.h tptp.aIb tptp.c tptp.aIbIc)) % 0.33/0.56 (define @t27 () (@list tptp.a tptp.b tptp.aIb @t26)) % 0.33/0.56 (define @t28 () (@list tptp.aIb tptp.c tptp.aIbIc)) % 0.33/0.56 (define @t29 () (@list tptp.a tptp.bIc tptp.aIbIc @t26)) % 0.33/0.56 (define @t30 () (tptp.member @t26 tptp.bIc)) % 0.33/0.56 (define @t31 () (tptp.member @t26 tptp.aIbIc)) % 0.33/0.56 (define @t32 () (not @t31)) % 0.33/0.56 (define @t33 () (not @t24)) % 0.33/0.56 (define @t34 () (or @t33 @t32 @t30)) % 0.33/0.56 (define @t35 () (@list tptp.b tptp.c tptp.bIc @t26)) % 0.33/0.56 (define @t36 () (tptp.member @t26 tptp.c)) % 0.33/0.56 (define @t37 () (not @t30)) % 0.33/0.56 (define @t38 () (not @t23)) % 0.33/0.56 (define @t39 () (or @t38 @t37 @t36)) % 0.33/0.56 (define @t40 () (tptp.member @t26 tptp.b)) % 0.33/0.56 (define @t41 () (or @t38 @t37 @t40)) % 0.33/0.56 (define @t42 () (tptp.member @t26 tptp.aIb)) % 0.33/0.56 (define @t43 () (not @t42)) % 0.33/0.56 (define @t44 () (not @t36)) % 0.33/0.56 (define @t45 () (or @t32 @t44 @t43 @t25)) % 0.33/0.56 (define @t46 () (tptp.member @t26 tptp.a)) % 0.33/0.56 (define @t47 () (not @t22)) % 0.33/0.56 (define @t48 () (or @t47 @t43 @t46)) % 0.33/0.56 (define @t49 () (or @t33 @t32 @t46)) % 0.33/0.56 (define @t50 () (or @t31 @t25 @t42)) % 0.33/0.56 (define @t51 () (not @t46)) % 0.33/0.56 (define @t52 () (not @t40)) % 0.33/0.56 (define @t53 () (or @t47 @t52 @t51 @t42)) % 0.33/0.56 (define @t54 () (or @t31 @t25 @t36)) % 0.33/0.56 (define @t55 () (or @t33 @t37 @t51 @t31)) % 0.33/0.56 (define @t56 () (or @t38 @t44 @t52 @t30)) % 0.33/0.56 (define @t57 () (or @t47 @t43 @t40)) % 0.33/0.56 (assume @p1 (forall (@list @t2 @t3 @t1) (or (not (tptp.member @t2 @t3)) (not @t4) (tptp.member @t2 @t1)))) % 0.33/0.56 (assume @p2 (forall @t6 (or @t4 (tptp.member @t5 @t3)))) % 0.33/0.56 (assume @p3 (forall @t6 (or (not (tptp.member @t5 @t1)) @t4))) % 0.33/0.56 (assume @p4 (forall @t6 (or (not (tptp.equal_sets @t3 @t1)) @t4))) % 0.33/0.56 (assume @p5 (forall (@list @t1 @t3) (or (not (tptp.equal_sets @t1 @t3)) @t4))) % 0.33/0.56 (assume @p6 (forall (@list @t7 @t8) (or (not (tptp.subset @t7 @t8)) (not (tptp.subset @t8 @t7)) (tptp.equal_sets @t8 @t7)))) % 0.33/0.56 (assume @p7 (forall @t15 (or @t14 @t12 @t9))) % 0.33/0.56 (assume @p8 (forall @t15 (or @t14 @t12 @t16))) % 0.33/0.56 (assume @p9 (forall @t15 (or @t14 (not @t16) (not @t9) @t11))) % 0.33/0.56 (assume @p10 (forall @t20 (or @t19 @t13 @t18))) % 0.33/0.56 (assume @p11 (forall @t20 (or @t19 @t13 @t21))) % 0.33/0.56 (assume @p12 (forall @t20 (or (not @t19) (not @t21) (not @t18) @t13))) % 0.33/0.56 (assume @p13 @t22) % 0.33/0.56 (assume @p14 @t23) % 0.33/0.56 (assume @p15 @t24) % 0.33/0.56 (assume @p16 (not @t25)) % 0.33/0.56 (step @p17 :rule instantiate :premises (@p8) :args (@t27)) % 0.33/0.56 (step @p18 :rule instantiate :premises (@p10) :args (@t28)) % 0.33/0.56 (step @p19 :rule instantiate :premises (@p8) :args (@t29)) % 0.33/0.56 (step @p20 :rule cnf_or_pos :args (@t34)) % 0.33/0.56 (step @p21 :rule reordering :premises (@p20) :args ((or @t33 @t32 @t30 (not @t34)))) % 0.33/0.56 (step @p22 :rule instantiate :premises (@p8) :args (@t35)) % 0.33/0.56 (step @p23 :rule cnf_or_pos :args (@t39)) % 0.33/0.56 (step @p24 :rule reordering :premises (@p23) :args ((or @t38 @t36 @t37 (not @t39)))) % 0.33/0.56 (step @p25 :rule instantiate :premises (@p7) :args (@t35)) % 0.33/0.56 (step @p26 :rule cnf_or_pos :args (@t41)) % 0.33/0.56 (step @p27 :rule reordering :premises (@p26) :args ((or @t38 @t40 @t37 (not @t41)))) % 0.33/0.56 (step @p28 :rule instantiate :premises (@p12) :args (@t28)) % 0.33/0.56 (step @p29 :rule cnf_or_pos :args (@t45)) % 0.33/0.56 (step @p30 :rule reordering :premises (@p29) :args ((or @t25 @t32 @t44 @t43 (not @t45)))) % 0.33/0.56 (step @p31 :rule instantiate :premises (@p7) :args (@t27)) % 0.33/0.56 (step @p32 :rule cnf_or_pos :args (@t48)) % 0.33/0.56 (step @p33 :rule reordering :premises (@p32) :args ((or @t47 @t43 @t46 (not @t48)))) % 0.33/0.56 (step @p34 :rule instantiate :premises (@p7) :args (@t29)) % 0.33/0.56 (step @p35 :rule cnf_or_pos :args (@t49)) % 0.33/0.56 (step @p36 :rule reordering :premises (@p35) :args ((or @t33 @t32 @t46 (not @t49)))) % 0.33/0.56 (step @p37 :rule cnf_or_pos :args (@t50)) % 0.33/0.56 (step @p38 :rule reordering :premises (@p37) :args ((or @t25 @t31 @t42 (not @t50)))) % 0.33/0.56 (step @p39 :rule chain_m_resolution :premises (@p38 @p18 @p16 @p36 @p34 @p15 @p33 @p31 @p13) :args (@t46 (@list false true true false false true false false) (@list @t50 @t25 @t31 @t49 @t24 @t42 @t48 @t22))) % 0.33/0.56 (step @p40 :rule instantiate :premises (@p9) :args (@t27)) % 0.33/0.56 (step @p41 :rule cnf_or_pos :args (@t53)) % 0.33/0.56 (step @p42 :rule reordering :premises (@p41) :args ((or @t47 @t42 @t52 @t51 (not @t53)))) % 0.33/0.56 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p39 @p13 @p30 @p28 @p16 @p27 @p25 @p14 @p24 @p22 @p14 @p21 @p19 @p15) :args (@t32 (@list false false false true false true false false false false false false false false false) (@list @t53 @t46 @t22 @t42 @t45 @t25 @t40 @t41 @t23 @t36 @t39 @t23 @t30 @t34 @t24))) % 0.33/0.56 (step @p44 :rule chain_m_resolution :premises (@p38 @p16 @p43 @p18) :args (@t42 (@list true true false) (@list @t25 @t31 @t50))) % 0.33/0.56 (step @p45 :rule instantiate :premises (@p11) :args (@t28)) % 0.33/0.56 (step @p46 :rule cnf_or_pos :args (@t54)) % 0.33/0.56 (step @p47 :rule reordering :premises (@p46) :args ((or @t25 @t31 @t36 (not @t54)))) % 0.33/0.56 (step @p48 :rule instantiate :premises (@p9) :args (@t29)) % 0.33/0.56 (step @p49 :rule cnf_or_pos :args (@t55)) % 0.33/0.56 (step @p50 :rule reordering :premises (@p49) :args ((or @t33 @t31 @t51 @t37 (not @t55)))) % 0.33/0.56 (step @p51 :rule instantiate :premises (@p9) :args (@t35)) % 0.33/0.56 (step @p52 :rule cnf_or_pos :args (@t56)) % 0.33/0.56 (step @p53 :rule reordering :premises (@p52) :args ((or @t38 @t44 @t52 @t30 (not @t56)))) % 0.33/0.56 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p14 @p50 @p48 @p39 @p15 @p47 @p45 @p16) :args ((or @t31 @t52) (@list false false true false false false false false true) (@list @t56 @t23 @t30 @t55 @t46 @t24 @t36 @t54 @t25))) % 0.33/0.56 (step @p55 :rule chain_m_resolution :premises (@p54 @p43) :args (@t52 (@list true) (@list @t31))) % 0.33/0.56 (step @p56 :rule cnf_or_pos :args (@t57)) % 0.33/0.56 (step @p57 :rule reordering :premises (@p56) :args ((or @t47 @t43 @t40 (not @t57)))) % 0.33/0.56 (step @p58 false :rule chain_m_resolution :premises (@p57 @p55 @p44 @p17 @p13) :args (false (@list true false false false) (@list @t40 @t42 @t57 @t22))) % 0.33/0.56 ) % 0.33/0.56 % SZS output end Proof % 0.33/0.56 % cvc5 exiting %------------------------------------------------------------------------------