%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU121+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:50:36 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU121+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n020.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:30:40 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.empty_set $$unsorted) % 0.38/0.58 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t3 () (not (tptp.in @t2 @t1))) % 0.38/0.58 (define @t4 () (tptp.in @t1 @t2)) % 0.38/0.58 (define @t5 () (@list @t1 @t2)) % 0.38/0.58 (define @t6 () (tptp.set_intersection2 @t1 @t2)) % 0.38/0.58 (define @t7 () (= @t1 tptp.empty_set)) % 0.38/0.58 (define @t8 () (@list @t1)) % 0.38/0.58 (define @t9 () (@var "C" $$unsorted)) % 0.38/0.58 (define @t10 () (tptp.in @t9 @t2)) % 0.38/0.58 (define @t11 () (tptp.in @t9 @t1)) % 0.38/0.58 (define @t12 () (@list @t9)) % 0.38/0.58 (define @t13 () (forall @t12 (=> @t11 @t10))) % 0.38/0.58 (define @t14 () (tptp.subset @t1 @t2)) % 0.38/0.58 (define @t15 () (= @t14 @t13)) % 0.38/0.58 (define @t16 () (forall @t5 @t15)) % 0.38/0.58 (define @t17 () (@var "D" $$unsorted)) % 0.38/0.58 (define @t18 () (@list @t1 @t2 @t9)) % 0.38/0.58 (define @t19 () (tptp.disjoint @t1 @t2)) % 0.38/0.58 (define @t20 () (tptp.empty @t1)) % 0.38/0.58 (define @t21 () (tptp.subset @t1 @t9)) % 0.38/0.58 (define @t22 () (tptp.subset @t2 @t9)) % 0.38/0.58 (define @t23 () (and @t14 @t22)) % 0.38/0.58 (define @t24 () (forall @t18 (=> @t23 @t21))) % 0.38/0.58 (define @t25 () (not @t24)) % 0.38/0.58 (define @t26 () (and @t11 @t10)) % 0.38/0.58 (define @t27 () (not @t19)) % 0.38/0.58 (define @t28 () (tptp.in @t9 @t6)) % 0.38/0.58 (define @t29 () (tptp.empty @t2)) % 0.38/0.58 (define @t30 () (not @t22)) % 0.38/0.58 (define @t31 () (not @t14)) % 0.38/0.58 (define @t32 () (or @t31 @t30 @t21)) % 0.38/0.58 (define @t33 () (forall @t18 @t32)) % 0.38/0.58 (define @t34 () (@quantifiers_skolemize @t33 2)) % 0.38/0.58 (define @t35 () (@quantifiers_skolemize @t33 0)) % 0.38/0.58 (define @t36 () (tptp.subset @t35 @t34)) % 0.38/0.58 (define @t37 () (@quantifiers_skolemize @t33 1)) % 0.38/0.58 (define @t38 () (tptp.subset @t37 @t34)) % 0.38/0.58 (define @t39 () (not @t38)) % 0.38/0.58 (define @t40 () (tptp.subset @t35 @t37)) % 0.38/0.58 (define @t41 () (not @t40)) % 0.38/0.58 (define @t42 () (or @t41 @t39 @t36)) % 0.38/0.58 (define @t43 () (@list true)) % 0.38/0.58 (define @t44 () (@list @t42)) % 0.38/0.58 (define @t45 () (tptp.in @t9 @t34)) % 0.38/0.58 (define @t46 () (not (tptp.in @t9 @t35))) % 0.38/0.58 (define @t47 () (forall @t12 (or @t46 @t45))) % 0.38/0.58 (define @t48 () (= @t36 @t47)) % 0.38/0.58 (define @t49 () (not @t47)) % 0.38/0.58 (define @t50 () (@quantifiers_skolemize @t47 0)) % 0.38/0.58 (define @t51 () (tptp.in @t50 @t34)) % 0.38/0.58 (define @t52 () (tptp.in @t50 @t35)) % 0.38/0.58 (define @t53 () (not @t52)) % 0.38/0.58 (define @t54 () (or @t53 @t51)) % 0.38/0.58 (define @t55 () (@list @t54)) % 0.38/0.58 (define @t56 () (tptp.in @t9 @t37)) % 0.38/0.58 (define @t57 () (forall @t12 (or (not @t56) @t45))) % 0.38/0.58 (define @t58 () (= @t38 @t57)) % 0.38/0.58 (define @t59 () (@list false false)) % 0.38/0.58 (define @t60 () (@list @t50)) % 0.38/0.58 (define @t61 () (forall @t12 (or @t46 @t56))) % 0.38/0.58 (define @t62 () (= @t40 @t61)) % 0.38/0.58 (define @t63 () (tptp.in @t50 @t37)) % 0.38/0.58 (define @t64 () (or @t53 @t63)) % 0.38/0.58 (define @t65 () (not @t63)) % 0.38/0.58 (define @t66 () (or @t65 @t51)) % 0.38/0.58 (assume @p1 (forall @t5 (=> @t4 @t3))) % 0.38/0.58 (assume @p2 (forall @t5 (= @t6 (tptp.set_intersection2 @t2 @t1)))) % 0.38/0.58 (assume @p3 (forall @t8 (= @t7 (forall (@list @t2) @t3)))) % 0.38/0.58 (assume @p4 @t16) % 0.38/0.58 (assume @p5 (forall @t18 (= (= @t9 @t6) (forall (@list @t17) (= (tptp.in @t17 @t9) (and (tptp.in @t17 @t1) (tptp.in @t17 @t2))))))) % 0.38/0.58 (assume @p6 (forall @t5 (= @t19 (= @t6 tptp.empty_set)))) % 0.38/0.58 (assume @p7 true) % 0.38/0.58 (assume @p8 (tptp.empty tptp.empty_set)) % 0.38/0.58 (assume @p9 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.38/0.58 (assume @p10 (exists @t8 @t20)) % 0.38/0.58 (assume @p11 (exists @t8 (not @t20))) % 0.38/0.58 (assume @p12 (forall @t5 (tptp.subset @t1 @t1))) % 0.38/0.58 (assume @p13 (forall @t5 (=> @t19 (tptp.disjoint @t2 @t1)))) % 0.38/0.58 (assume @p14 @t25) % 0.38/0.58 (assume @p15 (forall @t5 (and (not (and @t27 (forall @t12 (not @t26)))) (not (and (exists @t12 @t26) @t19))))) % 0.38/0.58 (assume @p16 (forall @t5 (and (not (and @t27 (forall @t12 (not @t28)))) (not (and (exists @t12 @t28) @t19))))) % 0.38/0.58 (assume @p17 (forall @t8 (=> @t20 @t7))) % 0.38/0.58 (assume @p18 (forall @t5 (not (and @t4 @t29)))) % 0.38/0.58 (assume @p19 (forall @t5 (not (and @t20 (not (= @t1 @t2)) @t29)))) % 0.38/0.58 (step @p20 :rule bool-impl-elim :args (@t11 @t10)) % 0.38/0.58 (step @p21 :rule cong :premises (@p20) :args (@t13)) % 0.38/0.58 (step @p22 :rule refl :args (@t14)) % 0.38/0.58 (step @p23 :rule cong :premises (@p22 @p21) :args (@t15)) % 0.38/0.58 (step @p24 :rule cong :premises (@p23) :args (@t16)) % 0.38/0.58 (step @p25 :rule eq_resolve :premises (@p4 @p24)) % 0.38/0.58 (step @p26 :rule instantiate :premises (@p25) :args ((@list @t35 @t34))) % 0.38/0.58 (step @p27 :rule aci_norm :args ((= (or (or @t31 @t30) @t21) @t32))) % 0.38/0.58 (step @p28 :rule refl :args (@t21)) % 0.38/0.58 (step @p29 :rule bool-and-de-morgan :args (@t14 @t22 true)) % 0.38/0.58 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or (not @t23) @t21))) % 0.38/0.58 (step @p31 :rule trans :premises (@p30 @p27)) % 0.38/0.58 (step @p32 :rule bool-impl-elim :args (@t23 @t21)) % 0.38/0.58 (step @p33 :rule trans :premises (@p32 @p31)) % 0.38/0.58 (step @p34 :rule cong :premises (@p33) :args (@t24)) % 0.38/0.58 (step @p35 :rule cong :premises (@p34) :args (@t25)) % 0.38/0.58 (step @p36 :rule eq_resolve :premises (@p14 @p35)) % 0.38/0.58 (step @p37 :rule skolemize :premises (@p36)) % 0.38/0.58 (step @p38 :rule cnf_or_neg :args (@t42 2)) % 0.38/0.58 (step @p39 :rule chain_m_resolution :premises (@p38 @p37) :args ((not @t36) @t43 @t44)) % 0.38/0.58 (step @p40 :rule cnf_equiv_pos2 :args (@t48)) % 0.38/0.58 (step @p41 :rule reordering :premises (@p40) :args ((or @t36 @t49 (not @t48)))) % 0.38/0.58 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p26) :args (@t49 (@list true false) (@list @t36 @t48))) % 0.38/0.58 (step @p43 :rule skolemize :premises (@p42)) % 0.38/0.58 (step @p44 :rule cnf_or_neg :args (@t54 1)) % 0.38/0.58 (step @p45 :rule chain_m_resolution :premises (@p44 @p43) :args ((not @t51) @t43 @t55)) % 0.38/0.58 (step @p46 :rule instantiate :premises (@p25) :args ((@list @t37 @t34))) % 0.38/0.58 (step @p47 :rule bool-double-not-elim :args (@t38)) % 0.38/0.58 (step @p48 :rule refl :args (@t42)) % 0.38/0.58 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t42 (not @t39)))) % 0.38/0.58 (step @p50 :rule cnf_or_neg :args (@t42 1)) % 0.38/0.58 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.38/0.58 (step @p52 :rule reordering :premises (@p51) :args ((or @t38 @t42))) % 0.38/0.58 (step @p53 :rule chain_m_resolution :premises (@p52 @p37) :args (@t38 @t43 @t44)) % 0.38/0.58 (step @p54 :rule cnf_equiv_pos1 :args (@t58)) % 0.38/0.58 (step @p55 :rule reordering :premises (@p54) :args ((or @t39 @t57 (not @t58)))) % 0.38/0.58 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p46) :args (@t57 @t59 (@list @t38 @t58))) % 0.38/0.58 (step @p57 :rule instantiate :premises (@p56) :args (@t60)) % 0.38/0.58 (step @p58 :rule instantiate :premises (@p25) :args ((@list @t35 @t37))) % 0.38/0.58 (step @p59 :rule bool-double-not-elim :args (@t40)) % 0.38/0.58 (step @p60 :rule nary_cong :premises (@p48 @p59) :args ((or @t42 (not @t41)))) % 0.38/0.58 (step @p61 :rule cnf_or_neg :args (@t42 0)) % 0.38/0.58 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.38/0.58 (step @p63 :rule reordering :premises (@p62) :args ((or @t40 @t42))) % 0.38/0.58 (step @p64 :rule chain_m_resolution :premises (@p63 @p37) :args (@t40 @t43 @t44)) % 0.38/0.58 (step @p65 :rule cnf_equiv_pos1 :args (@t62)) % 0.38/0.58 (step @p66 :rule reordering :premises (@p65) :args ((or @t41 @t61 (not @t62)))) % 0.38/0.58 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p58) :args (@t61 @t59 (@list @t40 @t62))) % 0.38/0.58 (step @p68 :rule instantiate :premises (@p67) :args (@t60)) % 0.38/0.58 (step @p69 :rule bool-double-not-elim :args (@t52)) % 0.38/0.58 (step @p70 :rule refl :args (@t54)) % 0.38/0.58 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t54 (not @t53)))) % 0.38/0.58 (step @p72 :rule cnf_or_neg :args (@t54 0)) % 0.38/0.58 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.38/0.58 (step @p74 :rule reordering :premises (@p73) :args ((or @t52 @t54))) % 0.38/0.58 (step @p75 :rule chain_m_resolution :premises (@p74 @p43) :args (@t52 @t43 @t55)) % 0.38/0.58 (step @p76 :rule cnf_or_pos :args (@t64)) % 0.38/0.58 (step @p77 :rule reordering :premises (@p76) :args ((or @t53 @t63 (not @t64)))) % 0.38/0.58 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p68) :args (@t63 @t59 (@list @t52 @t64))) % 0.38/0.58 (step @p79 :rule cnf_or_pos :args (@t66)) % 0.38/0.58 (step @p80 :rule reordering :premises (@p79) :args ((or @t51 @t65 (not @t66)))) % 0.38/0.58 (step @p81 false :rule chain_m_resolution :premises (@p80 @p78 @p57 @p45) :args (false (@list false false true) (@list @t63 @t66 @t51))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------