%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET010-1 : 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 : n021.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 1.32s 1.55s % Output : Proof 1.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET010-1 : 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 % 0.16/0.34 % Computer : n021.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 14:41:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.32/1.55 % SZS status Unsatisfiable % 1.32/1.55 % SZS output start Proof % 1.32/1.55 ( % 1.32/1.55 (declare-sort $$unsorted 0) % 1.32/1.55 (declare-const tptp.cD_aIb $$unsorted) % 1.32/1.55 (declare-const tptp.cDb $$unsorted) % 1.32/1.55 (declare-const tptp.c $$unsorted) % 1.32/1.55 (declare-const tptp.cDa $$unsorted) % 1.32/1.55 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.member_of_1_not_of_2 (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.g (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.aIb $$unsorted) % 1.32/1.55 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.h (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.k (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.55 (declare-const tptp.equal_sets (-> $$unsorted $$unsorted Bool)) % 1.32/1.55 (declare-const tptp.b $$unsorted) % 1.32/1.55 (declare-const tptp.a $$unsorted) % 1.32/1.55 (define @t1 () (@var "Superset" $$unsorted)) % 1.32/1.55 (define @t2 () (@var "Element" $$unsorted)) % 1.32/1.55 (define @t3 () (@var "Subset" $$unsorted)) % 1.32/1.55 (define @t4 () (tptp.subset @t3 @t1)) % 1.32/1.55 (define @t5 () (tptp.member_of_1_not_of_2 @t3 @t1)) % 1.32/1.55 (define @t6 () (@list @t3 @t1)) % 1.32/1.55 (define @t7 () (@var "Set1" $$unsorted)) % 1.32/1.55 (define @t8 () (@var "Set2" $$unsorted)) % 1.32/1.55 (define @t9 () (tptp.member @t2 @t8)) % 1.32/1.55 (define @t10 () (tptp.member @t2 @t7)) % 1.32/1.55 (define @t11 () (@var "Union" $$unsorted)) % 1.32/1.55 (define @t12 () (tptp.member @t2 @t11)) % 1.32/1.55 (define @t13 () (tptp.union @t7 @t8 @t11)) % 1.32/1.55 (define @t14 () (not @t13)) % 1.32/1.55 (define @t15 () (@list @t7 @t8 @t11 @t2)) % 1.32/1.55 (define @t16 () (not @t10)) % 1.32/1.55 (define @t17 () (not @t9)) % 1.32/1.55 (define @t18 () (tptp.g @t7 @t8 @t11)) % 1.32/1.55 (define @t19 () (tptp.member @t18 @t11)) % 1.32/1.55 (define @t20 () (tptp.member @t18 @t8)) % 1.32/1.55 (define @t21 () (tptp.member @t18 @t7)) % 1.32/1.55 (define @t22 () (@list @t7 @t8 @t11)) % 1.32/1.55 (define @t23 () (not @t19)) % 1.32/1.55 (define @t24 () (@var "Intersection" $$unsorted)) % 1.32/1.55 (define @t25 () (tptp.member @t2 @t24)) % 1.32/1.55 (define @t26 () (not @t25)) % 1.32/1.55 (define @t27 () (tptp.intersection @t7 @t8 @t24)) % 1.32/1.55 (define @t28 () (not @t27)) % 1.32/1.55 (define @t29 () (@list @t7 @t8 @t24 @t2)) % 1.32/1.55 (define @t30 () (tptp.h @t7 @t8 @t24)) % 1.32/1.55 (define @t31 () (tptp.member @t30 @t7)) % 1.32/1.55 (define @t32 () (tptp.member @t30 @t24)) % 1.32/1.55 (define @t33 () (@list @t7 @t8 @t24)) % 1.32/1.55 (define @t34 () (tptp.member @t30 @t8)) % 1.32/1.55 (define @t35 () (@var "Difference" $$unsorted)) % 1.32/1.55 (define @t36 () (tptp.member @t2 @t35)) % 1.32/1.55 (define @t37 () (tptp.difference @t7 @t8 @t35)) % 1.32/1.55 (define @t38 () (not @t37)) % 1.32/1.55 (define @t39 () (@var "A_set" $$unsorted)) % 1.32/1.55 (define @t40 () (forall (@list @t2 @t7 @t8 @t35) (or @t16 @t38 @t36 @t9))) % 1.32/1.55 (define @t41 () (tptp.k @t7 @t8 @t35)) % 1.32/1.55 (define @t42 () (tptp.member @t41 @t35)) % 1.32/1.55 (define @t43 () (tptp.member @t41 @t7)) % 1.32/1.55 (define @t44 () (@list @t7 @t8 @t35)) % 1.32/1.55 (define @t45 () (tptp.member @t41 @t8)) % 1.32/1.55 (define @t46 () (tptp.intersection tptp.a tptp.b tptp.aIb)) % 1.32/1.55 (define @t47 () (tptp.difference tptp.c tptp.a tptp.cDa)) % 1.32/1.55 (define @t48 () (tptp.difference tptp.c tptp.b tptp.cDb)) % 1.32/1.55 (define @t49 () (tptp.difference tptp.c tptp.aIb tptp.cD_aIb)) % 1.32/1.55 (define @t50 () (tptp.union tptp.cDa tptp.cDb tptp.cD_aIb)) % 1.32/1.55 (define @t51 () (tptp.g tptp.cDa tptp.cDb tptp.cD_aIb)) % 1.32/1.55 (define @t52 () (tptp.member @t51 tptp.c)) % 1.32/1.55 (define @t53 () (tptp.member @t51 tptp.cDb)) % 1.32/1.55 (define @t54 () (not @t53)) % 1.32/1.55 (define @t55 () (not @t48)) % 1.32/1.55 (define @t56 () (or @t55 @t54 @t52)) % 1.32/1.55 (define @t57 () (tptp.member @t51 tptp.cD_aIb)) % 1.32/1.55 (define @t58 () (not @t57)) % 1.32/1.55 (define @t59 () (not @t49)) % 1.32/1.55 (define @t60 () (or @t59 @t58 @t52)) % 1.32/1.55 (define @t61 () (tptp.member @t51 tptp.cDa)) % 1.32/1.55 (define @t62 () (not @t61)) % 1.32/1.55 (define @t63 () (not @t47)) % 1.32/1.55 (define @t64 () (or @t63 @t62 @t52)) % 1.32/1.55 (define @t65 () (@list tptp.cDa tptp.cDb tptp.cD_aIb)) % 1.32/1.55 (define @t66 () (or @t50 @t61 @t53 @t57)) % 1.32/1.55 (define @t67 () (@list tptp.a tptp.b tptp.aIb @t51)) % 1.32/1.55 (define @t68 () (or @t62 @t58 @t50)) % 1.32/1.55 (define @t69 () (tptp.member @t51 tptp.a)) % 1.32/1.55 (define @t70 () (not @t69)) % 1.32/1.55 (define @t71 () (or @t70 @t62 @t63)) % 1.32/1.55 (define @t72 () (tptp.member @t51 tptp.aIb)) % 1.32/1.55 (define @t73 () (not @t52)) % 1.32/1.55 (define @t74 () (or @t73 @t59 @t57 @t72)) % 1.32/1.55 (define @t75 () (not @t72)) % 1.32/1.55 (define @t76 () (not @t46)) % 1.32/1.55 (define @t77 () (or @t76 @t75 @t69)) % 1.32/1.55 (define @t78 () (or @t73 @t63 @t61 @t69)) % 1.32/1.55 (define @t79 () (@list false true false false)) % 1.32/1.55 (define @t80 () (tptp.member @t51 tptp.b)) % 1.32/1.55 (define @t81 () (or @t76 @t75 @t80)) % 1.32/1.55 (define @t82 () (not @t80)) % 1.32/1.55 (define @t83 () (or @t82 @t54 @t55)) % 1.32/1.55 (define @t84 () (or @t75 @t58 @t59)) % 1.32/1.55 (define @t85 () (or @t76 @t82 @t70 @t72)) % 1.32/1.55 (define @t86 () (or @t54 @t58 @t50)) % 1.32/1.55 (define @t87 () (or @t73 @t55 @t53 @t80)) % 1.32/1.55 (define @t88 () (not @t87)) % 1.32/1.55 (assume @p1 (forall (@list @t2 @t3 @t1) (or (not (tptp.member @t2 @t3)) (not @t4) (tptp.member @t2 @t1)))) % 1.32/1.55 (assume @p2 (forall @t6 (or @t4 (tptp.member @t5 @t3)))) % 1.32/1.55 (assume @p3 (forall @t6 (or (not (tptp.member @t5 @t1)) @t4))) % 1.32/1.55 (assume @p4 (forall @t6 (or (not (tptp.equal_sets @t3 @t1)) @t4))) % 1.32/1.55 (assume @p5 (forall (@list @t1 @t3) (or (not (tptp.equal_sets @t1 @t3)) @t4))) % 1.32/1.55 (assume @p6 (forall (@list @t7 @t8) (or (not (tptp.subset @t7 @t8)) (not (tptp.subset @t8 @t7)) (tptp.equal_sets @t8 @t7)))) % 1.32/1.55 (assume @p7 (forall @t15 (or @t14 (not @t12) @t10 @t9))) % 1.32/1.55 (assume @p8 (forall @t15 (or @t14 @t16 @t12))) % 1.32/1.55 (assume @p9 (forall @t15 (or @t14 @t17 @t12))) % 1.32/1.55 (assume @p10 (forall @t22 (or @t13 @t21 @t20 @t19))) % 1.32/1.55 (assume @p11 (forall @t22 (or (not @t21) @t23 @t13))) % 1.32/1.55 (assume @p12 (forall @t22 (or (not @t20) @t23 @t13))) % 1.32/1.55 (assume @p13 (forall @t29 (or @t28 @t26 @t10))) % 1.32/1.55 (assume @p14 (forall @t29 (or @t28 @t26 @t9))) % 1.32/1.55 (assume @p15 (forall @t29 (or @t28 @t17 @t16 @t25))) % 1.32/1.55 (assume @p16 (forall @t33 (or @t32 @t27 @t31))) % 1.32/1.55 (assume @p17 (forall @t33 (or @t32 @t27 @t34))) % 1.32/1.55 (assume @p18 (forall @t33 (or (not @t32) (not @t34) (not @t31) @t27))) % 1.32/1.55 (assume @p19 (forall (@list @t7 @t8 @t35 @t2) (or @t38 (not @t36) @t10))) % 1.32/1.55 (assume @p20 (forall (@list @t2 @t7 @t8 @t39) (or @t16 @t17 (not (tptp.difference @t39 @t7 @t8))))) % 1.32/1.55 (assume @p21 @t40) % 1.32/1.55 (assume @p22 (forall @t44 (or @t37 @t43 @t42))) % 1.32/1.55 (assume @p23 (forall @t44 (or (not @t45) @t42 @t37))) % 1.32/1.55 (assume @p24 (forall @t44 (or (not @t42) (not @t43) @t45 @t37))) % 1.32/1.55 (assume @p25 @t46) % 1.32/1.55 (assume @p26 @t47) % 1.32/1.55 (assume @p27 @t48) % 1.32/1.55 (assume @p28 @t49) % 1.32/1.55 (assume @p29 (not @t50)) % 1.32/1.55 (step @p30 :rule instantiate :premises (@p19) :args ((@list tptp.c tptp.b tptp.cDb @t51))) % 1.32/1.55 (step @p31 :rule cnf_or_pos :args (@t56)) % 1.32/1.55 (step @p32 :rule reordering :premises (@p31) :args ((or @t55 @t54 @t52 (not @t56)))) % 1.32/1.55 (step @p33 :rule instantiate :premises (@p19) :args ((@list tptp.c tptp.aIb tptp.cD_aIb @t51))) % 1.32/1.55 (step @p34 :rule cnf_or_pos :args (@t60)) % 1.32/1.55 (step @p35 :rule reordering :premises (@p34) :args ((or @t59 @t58 @t52 (not @t60)))) % 1.32/1.55 (step @p36 :rule instantiate :premises (@p19) :args ((@list tptp.c tptp.a tptp.cDa @t51))) % 1.32/1.55 (step @p37 :rule cnf_or_pos :args (@t64)) % 1.32/1.55 (step @p38 :rule reordering :premises (@p37) :args ((or @t63 @t62 @t52 (not @t64)))) % 1.32/1.55 (step @p39 :rule instantiate :premises (@p10) :args (@t65)) % 1.32/1.55 (step @p40 :rule cnf_or_pos :args (@t66)) % 1.32/1.55 (step @p41 :rule reordering :premises (@p40) :args ((or @t50 @t61 @t53 @t57 (not @t66)))) % 1.32/1.55 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p29 @p38 @p36 @p26 @p35 @p33 @p28 @p32 @p30 @p27) :args (@t52 (@list false true true false false true false false true false false) (@list @t66 @t50 @t61 @t64 @t47 @t57 @t60 @t49 @t53 @t56 @t48))) % 1.32/1.55 (step @p43 :rule instantiate :premises (@p15) :args (@t67)) % 1.32/1.55 (step @p44 :rule instantiate :premises (@p21) :args ((@list @t51 tptp.c tptp.a tptp.cDa))) % 1.32/1.55 (step @p45 :rule instantiate :premises (@p11) :args (@t65)) % 1.32/1.55 (step @p46 :rule cnf_or_pos :args (@t68)) % 1.32/1.55 (step @p47 :rule reordering :premises (@p46) :args ((or @t50 @t62 @t58 (not @t68)))) % 1.32/1.55 (step @p48 :rule instantiate :premises (@p20) :args ((@list @t51 tptp.a tptp.cDa tptp.c))) % 1.32/1.55 (step @p49 :rule cnf_or_pos :args (@t71)) % 1.32/1.55 (step @p50 :rule reordering :premises (@p49) :args ((or @t63 @t62 @t70 (not @t71)))) % 1.32/1.55 (step @p51 :rule instantiate :premises (@p21) :args ((@list @t51 tptp.c tptp.aIb tptp.cD_aIb))) % 1.32/1.55 (step @p52 :rule cnf_or_pos :args (@t74)) % 1.32/1.55 (step @p53 :rule reordering :premises (@p52) :args ((or @t59 @t57 @t73 @t72 (not @t74)))) % 1.32/1.55 (step @p54 :rule instantiate :premises (@p13) :args (@t67)) % 1.32/1.55 (step @p55 :rule cnf_or_pos :args (@t77)) % 1.32/1.55 (step @p56 :rule reordering :premises (@p55) :args ((or @t76 @t75 @t69 (not @t77)))) % 1.32/1.55 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p25 @p53 @p51 @p42 @p28 @p50 @p48 @p26 @p47 @p45 @p29) :args (@t62 (@list false false false false false false true false false true false true) (@list @t77 @t46 @t72 @t74 @t52 @t49 @t69 @t71 @t47 @t57 @t68 @t50))) % 1.32/1.55 (step @p58 :rule cnf_or_pos :args (@t78)) % 1.32/1.55 (step @p59 :rule reordering :premises (@p58) :args ((or @t63 @t61 @t73 @t69 (not @t78)))) % 1.32/1.55 (step @p60 :rule chain_m_resolution :premises (@p59 @p26 @p57 @p42 @p44) :args (@t69 @t79 (@list @t47 @t61 @t52 @t78))) % 1.32/1.55 (step @p61 :rule instantiate :premises (@p20) :args ((@list @t51 tptp.aIb tptp.cD_aIb tptp.c))) % 1.32/1.55 (step @p62 :rule instantiate :premises (@p14) :args (@t67)) % 1.32/1.55 (step @p63 :rule cnf_or_pos :args (@t81)) % 1.32/1.55 (step @p64 :rule reordering :premises (@p63) :args ((or @t76 @t80 @t75 (not @t81)))) % 1.32/1.55 (step @p65 :rule instantiate :premises (@p20) :args ((@list @t51 tptp.b tptp.cDb tptp.c))) % 1.32/1.55 (step @p66 :rule cnf_or_pos :args (@t83)) % 1.32/1.55 (step @p67 :rule reordering :premises (@p66) :args ((or @t55 @t54 @t82 (not @t83)))) % 1.32/1.55 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p27 @p64 @p62 @p25 @p41 @p57 @p39 @p29 @p53 @p51 @p42 @p28) :args (@t57 (@list false false false false false false true false true false false false false) (@list @t83 @t48 @t80 @t81 @t46 @t53 @t61 @t66 @t50 @t72 @t74 @t52 @t49))) % 1.32/1.55 (step @p69 :rule cnf_or_pos :args (@t84)) % 1.32/1.55 (step @p70 :rule reordering :premises (@p69) :args ((or @t59 @t58 @t75 (not @t84)))) % 1.32/1.55 (step @p71 :rule chain_m_resolution :premises (@p70 @p28 @p68 @p61) :args (@t75 (@list false false false) (@list @t49 @t57 @t84))) % 1.32/1.55 (step @p72 :rule cnf_or_pos :args (@t85)) % 1.32/1.55 (step @p73 :rule reordering :premises (@p72) :args ((or @t76 @t82 @t72 @t70 (not @t85)))) % 1.32/1.55 (step @p74 :rule chain_m_resolution :premises (@p73 @p25 @p71 @p60 @p43) :args (@t82 @t79 (@list @t46 @t72 @t69 @t85))) % 1.32/1.55 (step @p75 :rule instantiate :premises (@p12) :args (@t65)) % 1.32/1.55 (step @p76 :rule cnf_or_pos :args (@t86)) % 1.32/1.55 (step @p77 :rule reordering :premises (@p76) :args ((or @t50 @t58 @t54 (not @t86)))) % 1.32/1.55 (step @p78 :rule chain_m_resolution :premises (@p77 @p29 @p68 @p75) :args (@t54 (@list true false false) (@list @t50 @t57 @t86))) % 1.32/1.55 (step @p79 :rule cnf_or_pos :args (@t87)) % 1.32/1.55 (step @p80 :rule reordering :premises (@p79) :args ((or @t55 @t53 @t80 @t73 @t88))) % 1.32/1.55 (step @p81 :rule chain_m_resolution :premises (@p80 @p27 @p78 @p74 @p42) :args (@t88 (@list false true true false) (@list @t48 @t53 @t80 @t52))) % 1.32/1.55 (assume-push @p88 @t40) % 1.32/1.55 (step @p83 :rule instantiate :premises (@p21) :args ((@list @t51 tptp.c tptp.b tptp.cDb))) % 1.32/1.55 (step-pop @p89 :rule scope :premises (@p83)) % 1.32/1.55 (step @p84 :rule process_scope :premises (@p89) :args (@t87)) % 1.32/1.55 (step @p86 :rule implies_elim :premises (@p84)) % 1.32/1.55 (step @p87 false :rule chain_m_resolution :premises (@p86 @p81 @p21) :args (false (@list true false) (@list @t87 @t40))) % 1.32/1.55 ) % 1.32/1.55 % SZS output end Proof % 1.32/1.56 % cvc5 exiting %------------------------------------------------------------------------------