%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET007-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:46:53 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SET007-1 : TPTP v9.2.1. Released v1.0.0. % 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 : n026.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 14:40:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.60 % SZS status Unsatisfiable % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.aI_bUc $$unsorted) % 0.39/0.60 (declare-const tptp.aIc $$unsorted) % 0.39/0.60 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.a $$unsorted) % 0.39/0.60 (declare-const tptp.member_of_1_not_of_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.g (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.h (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.bUc $$unsorted) % 0.39/0.60 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.c $$unsorted) % 0.39/0.60 (declare-const tptp.b $$unsorted) % 0.39/0.60 (declare-const tptp.equal_sets (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.aIb $$unsorted) % 0.39/0.60 (define @t1 () (@var "Superset" $$unsorted)) % 0.39/0.60 (define @t2 () (@var "Element" $$unsorted)) % 0.39/0.60 (define @t3 () (@var "Subset" $$unsorted)) % 0.39/0.60 (define @t4 () (tptp.subset @t3 @t1)) % 0.39/0.60 (define @t5 () (tptp.member_of_1_not_of_2 @t3 @t1)) % 0.39/0.60 (define @t6 () (@list @t3 @t1)) % 0.39/0.60 (define @t7 () (@var "Set1" $$unsorted)) % 0.39/0.60 (define @t8 () (@var "Set2" $$unsorted)) % 0.39/0.60 (define @t9 () (tptp.member @t2 @t8)) % 0.39/0.60 (define @t10 () (tptp.member @t2 @t7)) % 0.39/0.60 (define @t11 () (@var "Union" $$unsorted)) % 0.39/0.60 (define @t12 () (tptp.member @t2 @t11)) % 0.39/0.60 (define @t13 () (tptp.union @t7 @t8 @t11)) % 0.39/0.60 (define @t14 () (not @t13)) % 0.39/0.60 (define @t15 () (@list @t7 @t8 @t11 @t2)) % 0.39/0.60 (define @t16 () (not @t10)) % 0.39/0.60 (define @t17 () (not @t9)) % 0.39/0.60 (define @t18 () (tptp.g @t7 @t8 @t11)) % 0.39/0.60 (define @t19 () (tptp.member @t18 @t11)) % 0.39/0.60 (define @t20 () (tptp.member @t18 @t8)) % 0.39/0.60 (define @t21 () (tptp.member @t18 @t7)) % 0.39/0.60 (define @t22 () (@list @t7 @t8 @t11)) % 0.39/0.60 (define @t23 () (not @t19)) % 0.39/0.60 (define @t24 () (@var "Intersection" $$unsorted)) % 0.39/0.60 (define @t25 () (tptp.member @t2 @t24)) % 0.39/0.60 (define @t26 () (not @t25)) % 0.39/0.60 (define @t27 () (tptp.intersection @t7 @t8 @t24)) % 0.39/0.60 (define @t28 () (not @t27)) % 0.39/0.60 (define @t29 () (@list @t7 @t8 @t24 @t2)) % 0.39/0.60 (define @t30 () (tptp.h @t7 @t8 @t24)) % 0.39/0.60 (define @t31 () (tptp.member @t30 @t7)) % 0.39/0.60 (define @t32 () (tptp.member @t30 @t24)) % 0.39/0.60 (define @t33 () (@list @t7 @t8 @t24)) % 0.39/0.60 (define @t34 () (tptp.member @t30 @t8)) % 0.39/0.60 (define @t35 () (tptp.union tptp.b tptp.c tptp.bUc)) % 0.39/0.60 (define @t36 () (tptp.intersection tptp.a tptp.b tptp.aIb)) % 0.39/0.60 (define @t37 () (tptp.intersection tptp.a tptp.c tptp.aIc)) % 0.39/0.60 (define @t38 () (tptp.intersection tptp.a tptp.bUc tptp.aI_bUc)) % 0.39/0.60 (define @t39 () (tptp.union tptp.aIb tptp.aIc tptp.aI_bUc)) % 0.39/0.60 (define @t40 () (tptp.g tptp.aIb tptp.aIc tptp.aI_bUc)) % 0.39/0.60 (define @t41 () (@list tptp.a tptp.c tptp.aIc @t40)) % 0.39/0.60 (define @t42 () (@list tptp.aIb tptp.aIc tptp.aI_bUc)) % 0.39/0.60 (define @t43 () (tptp.member @t40 tptp.aI_bUc)) % 0.39/0.60 (define @t44 () (not @t43)) % 0.39/0.60 (define @t45 () (tptp.member @t40 tptp.aIb)) % 0.39/0.60 (define @t46 () (not @t45)) % 0.39/0.60 (define @t47 () (or @t46 @t44 @t39)) % 0.39/0.60 (define @t48 () (tptp.member @t40 tptp.aIc)) % 0.39/0.60 (define @t49 () (not @t48)) % 0.39/0.60 (define @t50 () (or @t49 @t44 @t39)) % 0.39/0.60 (define @t51 () (@list tptp.a tptp.bUc tptp.aI_bUc @t40)) % 0.39/0.60 (define @t52 () (tptp.member @t40 tptp.bUc)) % 0.39/0.60 (define @t53 () (not @t38)) % 0.39/0.60 (define @t54 () (or @t53 @t44 @t52)) % 0.39/0.60 (define @t55 () (tptp.member @t40 tptp.a)) % 0.39/0.60 (define @t56 () (not @t37)) % 0.39/0.60 (define @t57 () (or @t56 @t49 @t55)) % 0.39/0.60 (define @t58 () (or @t53 @t44 @t55)) % 0.39/0.60 (define @t59 () (@list tptp.a tptp.b tptp.aIb @t40)) % 0.39/0.60 (define @t60 () (not @t36)) % 0.39/0.60 (define @t61 () (or @t60 @t46 @t55)) % 0.39/0.60 (define @t62 () (or @t39 @t45 @t48 @t43)) % 0.39/0.60 (define @t63 () (not @t55)) % 0.39/0.60 (define @t64 () (tptp.member @t40 tptp.b)) % 0.39/0.60 (define @t65 () (not @t64)) % 0.39/0.60 (define @t66 () (or @t60 @t65 @t63 @t45)) % 0.39/0.60 (define @t67 () (tptp.member @t40 tptp.c)) % 0.39/0.60 (define @t68 () (not @t67)) % 0.39/0.60 (define @t69 () (or @t56 @t68 @t63 @t48)) % 0.39/0.60 (define @t70 () (@list tptp.b tptp.c tptp.bUc @t40)) % 0.39/0.60 (define @t71 () (not @t52)) % 0.39/0.60 (define @t72 () (not @t35)) % 0.39/0.60 (define @t73 () (or @t72 @t71 @t64 @t67)) % 0.39/0.60 (define @t74 () (or @t53 @t71 @t63 @t43)) % 0.39/0.60 (define @t75 () (or @t72 @t65 @t52)) % 0.39/0.60 (define @t76 () (or @t60 @t46 @t64)) % 0.39/0.60 (define @t77 () (or @t72 @t68 @t52)) % 0.39/0.60 (define @t78 () (or @t56 @t49 @t67)) % 0.39/0.60 (assume @p1 (forall (@list @t2 @t3 @t1) (or (not (tptp.member @t2 @t3)) (not @t4) (tptp.member @t2 @t1)))) % 0.39/0.60 (assume @p2 (forall @t6 (or @t4 (tptp.member @t5 @t3)))) % 0.39/0.60 (assume @p3 (forall @t6 (or (not (tptp.member @t5 @t1)) @t4))) % 0.39/0.60 (assume @p4 (forall @t6 (or (not (tptp.equal_sets @t3 @t1)) @t4))) % 0.39/0.60 (assume @p5 (forall (@list @t1 @t3) (or (not (tptp.equal_sets @t1 @t3)) @t4))) % 0.39/0.60 (assume @p6 (forall (@list @t7 @t8) (or (not (tptp.subset @t7 @t8)) (not (tptp.subset @t8 @t7)) (tptp.equal_sets @t8 @t7)))) % 0.39/0.60 (assume @p7 (forall @t15 (or @t14 (not @t12) @t10 @t9))) % 0.39/0.60 (assume @p8 (forall @t15 (or @t14 @t16 @t12))) % 0.39/0.60 (assume @p9 (forall @t15 (or @t14 @t17 @t12))) % 0.39/0.60 (assume @p10 (forall @t22 (or @t13 @t21 @t20 @t19))) % 0.39/0.60 (assume @p11 (forall @t22 (or (not @t21) @t23 @t13))) % 0.39/0.60 (assume @p12 (forall @t22 (or (not @t20) @t23 @t13))) % 0.39/0.60 (assume @p13 (forall @t29 (or @t28 @t26 @t10))) % 0.39/0.60 (assume @p14 (forall @t29 (or @t28 @t26 @t9))) % 0.39/0.60 (assume @p15 (forall @t29 (or @t28 @t17 @t16 @t25))) % 0.39/0.60 (assume @p16 (forall @t33 (or @t32 @t27 @t31))) % 0.39/0.60 (assume @p17 (forall @t33 (or @t32 @t27 @t34))) % 0.39/0.60 (assume @p18 (forall @t33 (or (not @t32) (not @t34) (not @t31) @t27))) % 0.39/0.60 (assume @p19 @t35) % 0.39/0.60 (assume @p20 @t36) % 0.39/0.60 (assume @p21 @t37) % 0.39/0.60 (assume @p22 @t38) % 0.39/0.60 (assume @p23 (not @t39)) % 0.39/0.60 (step @p24 :rule instantiate :premises (@p14) :args (@t41)) % 0.39/0.60 (step @p25 :rule instantiate :premises (@p11) :args (@t42)) % 0.39/0.60 (step @p26 :rule cnf_or_pos :args (@t47)) % 0.39/0.60 (step @p27 :rule reordering :premises (@p26) :args ((or @t39 @t46 @t44 (not @t47)))) % 0.39/0.60 (step @p28 :rule instantiate :premises (@p12) :args (@t42)) % 0.39/0.60 (step @p29 :rule cnf_or_pos :args (@t50)) % 0.39/0.60 (step @p30 :rule reordering :premises (@p29) :args ((or @t39 @t44 @t49 (not @t50)))) % 0.39/0.60 (step @p31 :rule instantiate :premises (@p14) :args (@t51)) % 0.39/0.60 (step @p32 :rule cnf_or_pos :args (@t54)) % 0.39/0.60 (step @p33 :rule reordering :premises (@p32) :args ((or @t53 @t44 @t52 (not @t54)))) % 0.39/0.60 (step @p34 :rule instantiate :premises (@p13) :args (@t41)) % 0.39/0.60 (step @p35 :rule cnf_or_pos :args (@t57)) % 0.39/0.60 (step @p36 :rule reordering :premises (@p35) :args ((or @t56 @t49 @t55 (not @t57)))) % 0.39/0.60 (step @p37 :rule instantiate :premises (@p13) :args (@t51)) % 0.39/0.60 (step @p38 :rule cnf_or_pos :args (@t58)) % 0.39/0.60 (step @p39 :rule reordering :premises (@p38) :args ((or @t53 @t44 @t55 (not @t58)))) % 0.39/0.60 (step @p40 :rule instantiate :premises (@p13) :args (@t59)) % 0.39/0.60 (step @p41 :rule cnf_or_pos :args (@t61)) % 0.39/0.60 (step @p42 :rule reordering :premises (@p41) :args ((or @t60 @t46 @t55 (not @t61)))) % 0.39/0.60 (step @p43 :rule instantiate :premises (@p10) :args (@t42)) % 0.39/0.60 (step @p44 :rule cnf_or_pos :args (@t62)) % 0.39/0.60 (step @p45 :rule reordering :premises (@p44) :args ((or @t39 @t45 @t48 @t43 (not @t62)))) % 0.39/0.60 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p23 @p42 @p40 @p20 @p39 @p37 @p22 @p36 @p34 @p21) :args (@t55 (@list false true true false false true false false true false false) (@list @t62 @t39 @t45 @t61 @t36 @t43 @t58 @t38 @t48 @t57 @t37))) % 0.39/0.60 (step @p47 :rule instantiate :premises (@p15) :args (@t59)) % 0.39/0.60 (step @p48 :rule cnf_or_pos :args (@t66)) % 0.39/0.60 (step @p49 :rule reordering :premises (@p48) :args ((or @t60 @t45 @t63 @t65 (not @t66)))) % 0.39/0.60 (step @p50 :rule instantiate :premises (@p15) :args (@t41)) % 0.39/0.60 (step @p51 :rule cnf_or_pos :args (@t69)) % 0.39/0.60 (step @p52 :rule reordering :premises (@p51) :args ((or @t56 @t48 @t63 @t68 (not @t69)))) % 0.39/0.60 (step @p53 :rule instantiate :premises (@p7) :args (@t70)) % 0.39/0.60 (step @p54 :rule cnf_or_pos :args (@t73)) % 0.39/0.60 (step @p55 :rule reordering :premises (@p54) :args ((or @t72 @t67 @t71 @t64 (not @t73)))) % 0.39/0.60 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p19 @p52 @p50 @p46 @p21 @p49 @p47 @p46 @p20 @p33 @p31 @p22 @p30 @p28 @p23 @p27 @p25 @p23) :args (@t44 (@list false false true false false false true false false false false false false true false true true false true) (@list @t73 @t35 @t67 @t69 @t55 @t37 @t64 @t66 @t55 @t36 @t52 @t54 @t38 @t48 @t50 @t39 @t45 @t47 @t39))) % 0.39/0.60 (step @p57 :rule instantiate :premises (@p15) :args (@t51)) % 0.39/0.60 (step @p58 :rule cnf_or_pos :args (@t74)) % 0.39/0.60 (step @p59 :rule reordering :premises (@p58) :args ((or @t53 @t43 @t63 @t71 (not @t74)))) % 0.39/0.60 (step @p60 :rule instantiate :premises (@p8) :args (@t70)) % 0.39/0.60 (step @p61 :rule cnf_or_pos :args (@t75)) % 0.39/0.60 (step @p62 :rule reordering :premises (@p61) :args ((or @t72 @t52 @t65 (not @t75)))) % 0.39/0.60 (step @p63 :rule instantiate :premises (@p14) :args (@t59)) % 0.39/0.60 (step @p64 :rule cnf_or_pos :args (@t76)) % 0.39/0.60 (step @p65 :rule reordering :premises (@p64) :args ((or @t60 @t46 @t64 (not @t76)))) % 0.39/0.60 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p20 @p62 @p60 @p19 @p45 @p43 @p23 @p59 @p57 @p46 @p22) :args ((or @t48 @t43) (@list false false true false false false false true true false false false) (@list @t76 @t36 @t64 @t75 @t35 @t45 @t62 @t39 @t52 @t74 @t55 @t38))) % 0.39/0.60 (step @p67 :rule chain_m_resolution :premises (@p66 @p56) :args (@t48 (@list true) (@list @t43))) % 0.39/0.60 (step @p68 :rule instantiate :premises (@p9) :args (@t70)) % 0.39/0.60 (step @p69 :rule chain_m_resolution :premises (@p59 @p22 @p56 @p46 @p57) :args (@t71 (@list false true false false) (@list @t38 @t43 @t55 @t74))) % 0.39/0.60 (step @p70 :rule cnf_or_pos :args (@t77)) % 0.39/0.60 (step @p71 :rule reordering :premises (@p70) :args ((or @t72 @t68 @t52 (not @t77)))) % 0.39/0.60 (step @p72 :rule chain_m_resolution :premises (@p71 @p19 @p69 @p68) :args (@t68 (@list false true false) (@list @t35 @t52 @t77))) % 0.39/0.60 (step @p73 :rule cnf_or_pos :args (@t78)) % 0.39/0.60 (step @p74 :rule reordering :premises (@p73) :args ((or @t56 @t49 @t67 (not @t78)))) % 0.39/0.60 (step @p75 false :rule chain_m_resolution :premises (@p74 @p72 @p67 @p24 @p21) :args (false (@list true false false false) (@list @t67 @t48 @t78 @t37))) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------