%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU219+3 : TPTP v9.2.1. Released v3.2.0. % 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 08:51:00 AM UTC 2026 % Result : Theorem 0.36s 0.58s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU219+3 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.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 16:42:10 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.58 % SZS status Theorem % 0.36/0.58 % SZS output start Proof % 0.36/0.58 ( % 0.36/0.58 (declare-sort $$unsorted 0) % 0.36/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.function (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.empty_set $$unsorted) % 0.36/0.58 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.36/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.58 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.58 (define @t3 () (tptp.in @t1 @t2)) % 0.36/0.58 (define @t4 () (@list @t1 @t2)) % 0.36/0.58 (define @t5 () (tptp.function @t1)) % 0.36/0.58 (define @t6 () (tptp.empty @t1)) % 0.36/0.58 (define @t7 () (@list @t1)) % 0.36/0.58 (define @t8 () (tptp.relation @t1)) % 0.36/0.58 (define @t9 () (tptp.one_to_one @t1)) % 0.36/0.58 (define @t10 () (and @t8 @t5 @t9)) % 0.36/0.58 (define @t11 () (and @t8 @t6 @t5)) % 0.36/0.58 (define @t12 () (tptp.relation_inverse @t1)) % 0.36/0.58 (define @t13 () (tptp.function_inverse @t1)) % 0.36/0.58 (define @t14 () (= @t13 @t12)) % 0.36/0.58 (define @t15 () (=> @t9 @t14)) % 0.36/0.58 (define @t16 () (and @t8 @t5)) % 0.36/0.58 (define @t17 () (forall @t7 (=> @t16 @t15))) % 0.36/0.58 (define @t18 () (tptp.relation @t12)) % 0.36/0.58 (define @t19 () (@list @t2)) % 0.36/0.58 (define @t20 () (tptp.relation tptp.empty_set)) % 0.36/0.58 (define @t21 () (tptp.empty tptp.empty_set)) % 0.36/0.58 (define @t22 () (tptp.powerset @t1)) % 0.36/0.58 (define @t23 () (tptp.relation_dom @t1)) % 0.36/0.58 (define @t24 () (tptp.empty @t23)) % 0.36/0.58 (define @t25 () (not @t6)) % 0.36/0.58 (define @t26 () (and @t25 @t8)) % 0.36/0.58 (define @t27 () (tptp.relation_rng @t1)) % 0.36/0.58 (define @t28 () (tptp.empty @t27)) % 0.36/0.58 (define @t29 () (tptp.empty @t2)) % 0.36/0.58 (define @t30 () (tptp.element @t2 @t22)) % 0.36/0.58 (define @t31 () (tptp.element @t1 @t2)) % 0.36/0.58 (define @t32 () (and (= @t27 (tptp.relation_dom @t12)) (= @t23 (tptp.relation_rng @t12)))) % 0.36/0.58 (define @t33 () (forall @t7 (=> @t8 @t32))) % 0.36/0.58 (define @t34 () (@var "C" $$unsorted)) % 0.36/0.58 (define @t35 () (tptp.element @t2 (tptp.powerset @t34))) % 0.36/0.58 (define @t36 () (@list @t1 @t2 @t34)) % 0.36/0.58 (define @t37 () (and (= @t27 (tptp.relation_dom @t13)) (= @t23 (tptp.relation_rng @t13)))) % 0.36/0.58 (define @t38 () (=> @t9 @t37)) % 0.36/0.58 (define @t39 () (forall @t7 (=> @t16 @t38))) % 0.36/0.58 (define @t40 () (not @t39)) % 0.36/0.58 (define @t41 () (not @t9)) % 0.36/0.58 (define @t42 () (not @t5)) % 0.36/0.58 (define @t43 () (not @t8)) % 0.36/0.58 (define @t44 () (or @t43 @t42 @t41 @t37)) % 0.36/0.58 (define @t45 () (or @t43 @t42)) % 0.36/0.58 (define @t46 () (not @t16)) % 0.36/0.58 (define @t47 () (@quantifiers_skolemize (forall @t7 @t44) 0)) % 0.36/0.58 (define @t48 () (tptp.function_inverse @t47)) % 0.36/0.58 (define @t49 () (tptp.relation_dom @t47)) % 0.36/0.58 (define @t50 () (= @t49 (tptp.relation_rng @t48))) % 0.36/0.58 (define @t51 () (tptp.relation_rng @t47)) % 0.36/0.58 (define @t52 () (= @t51 (tptp.relation_dom @t48))) % 0.36/0.58 (define @t53 () (and @t52 @t50)) % 0.36/0.58 (define @t54 () (tptp.one_to_one @t47)) % 0.36/0.58 (define @t55 () (not @t54)) % 0.36/0.58 (define @t56 () (tptp.function @t47)) % 0.36/0.58 (define @t57 () (not @t56)) % 0.36/0.58 (define @t58 () (tptp.relation @t47)) % 0.36/0.58 (define @t59 () (not @t58)) % 0.36/0.58 (define @t60 () (or @t59 @t57 @t55 @t53)) % 0.36/0.58 (define @t61 () (@list true)) % 0.36/0.58 (define @t62 () (@list @t60)) % 0.36/0.58 (define @t63 () (@list @t47)) % 0.36/0.58 (define @t64 () (tptp.relation_inverse @t47)) % 0.36/0.58 (define @t65 () (= @t48 @t64)) % 0.36/0.58 (define @t66 () (or @t59 @t57 @t55 @t65)) % 0.36/0.58 (define @t67 () (tptp.relation_dom @t64)) % 0.36/0.58 (define @t68 () (tptp.relation_rng @t64)) % 0.36/0.58 (define @t69 () (= @t49 @t68)) % 0.36/0.58 (define @t70 () (= @t51 @t67)) % 0.36/0.58 (define @t71 () (and @t70 @t69)) % 0.36/0.58 (define @t72 () (or @t59 @t71)) % 0.36/0.58 (define @t73 () (not @t71)) % 0.36/0.58 (define @t74 () (@list false)) % 0.36/0.58 (define @t75 () (@list @t71)) % 0.36/0.58 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.36/0.58 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.36/0.58 (assume @p3 (forall @t7 (=> @t6 @t8))) % 0.36/0.58 (assume @p4 (forall @t7 (=> @t11 @t10))) % 0.36/0.58 (assume @p5 @t17) % 0.36/0.58 (assume @p6 (forall @t7 (=> @t16 (and (tptp.relation @t13) (tptp.function @t13))))) % 0.36/0.58 (assume @p7 (forall @t7 (=> @t8 @t18))) % 0.36/0.58 (assume @p8 (forall @t7 (exists @t19 (tptp.element @t2 @t1)))) % 0.36/0.58 (assume @p9 (forall @t7 (=> @t6 (and (tptp.empty @t12) @t18)))) % 0.36/0.58 (assume @p10 (and @t21 @t20 (tptp.relation_empty_yielding tptp.empty_set))) % 0.36/0.58 (assume @p11 (forall @t7 (not (tptp.empty @t22)))) % 0.36/0.58 (assume @p12 @t21) % 0.36/0.58 (assume @p13 (forall @t7 (=> @t10 (and @t18 (tptp.function @t12))))) % 0.36/0.58 (assume @p14 (and @t21 @t20)) % 0.36/0.58 (assume @p15 (forall @t7 (=> @t26 (not @t24)))) % 0.36/0.58 (assume @p16 (forall @t7 (=> @t26 (not @t28)))) % 0.36/0.58 (assume @p17 (forall @t7 (=> @t6 (and @t24 (tptp.relation @t23))))) % 0.36/0.58 (assume @p18 (forall @t7 (=> @t6 (and @t28 (tptp.relation @t27))))) % 0.36/0.58 (assume @p19 (forall @t7 (=> @t8 (= (tptp.relation_inverse @t12) @t1)))) % 0.36/0.58 (assume @p20 (exists @t7 @t16)) % 0.36/0.58 (assume @p21 (exists @t7 (and @t6 @t8))) % 0.36/0.58 (assume @p22 (forall @t7 (=> @t25 (exists @t19 (and @t30 (not @t29)))))) % 0.36/0.58 (assume @p23 (exists @t7 @t6)) % 0.36/0.58 (assume @p24 (exists @t7 @t11)) % 0.36/0.58 (assume @p25 (exists @t7 @t26)) % 0.36/0.58 (assume @p26 (forall @t7 (exists @t19 (and @t30 @t29)))) % 0.36/0.58 (assume @p27 (exists @t7 @t25)) % 0.36/0.58 (assume @p28 (exists @t7 @t10)) % 0.36/0.58 (assume @p29 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 0.36/0.58 (assume @p30 (forall @t4 (tptp.subset @t1 @t1))) % 0.36/0.58 (assume @p31 (forall @t4 (=> @t3 @t31))) % 0.36/0.58 (assume @p32 (forall @t4 (=> @t31 (or @t29 @t3)))) % 0.36/0.58 (assume @p33 @t33) % 0.36/0.58 (assume @p34 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.36/0.58 (assume @p35 (forall @t36 (=> (and @t3 @t35) (tptp.element @t1 @t34)))) % 0.36/0.58 (assume @p36 @t40) % 0.36/0.58 (assume @p37 (forall @t36 (not (and @t3 @t35 (tptp.empty @t34))))) % 0.36/0.58 (assume @p38 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.36/0.58 (assume @p39 (forall @t4 (not (and @t3 @t29)))) % 0.36/0.58 (assume @p40 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t29)))) % 0.36/0.58 (assume @p41 true) % 0.36/0.58 (step @p42 :rule aci_norm :args ((= (or @t45 (or @t41 @t37)) @t44))) % 0.36/0.58 (step @p43 :rule bool-impl-elim :args (@t9 @t37)) % 0.36/0.58 (step @p44 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 0.36/0.58 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t46 @t38))) % 0.36/0.58 (step @p46 :rule trans :premises (@p45 @p42)) % 0.36/0.58 (step @p47 :rule bool-impl-elim :args (@t16 @t38)) % 0.36/0.58 (step @p48 :rule trans :premises (@p47 @p46)) % 0.36/0.58 (step @p49 :rule cong :premises (@p48) :args (@t39)) % 0.36/0.58 (step @p50 :rule cong :premises (@p49) :args (@t40)) % 0.36/0.58 (step @p51 :rule eq_resolve :premises (@p36 @p50)) % 0.36/0.58 (step @p52 :rule skolemize :premises (@p51)) % 0.36/0.58 (step @p53 :rule cnf_or_neg :args (@t60 3)) % 0.36/0.58 (step @p54 :rule chain_m_resolution :premises (@p53 @p52) :args ((not @t53) @t61 @t62)) % 0.36/0.58 (step @p55 :rule aci_norm :args ((= (or @t45 (or @t41 @t14)) (or @t43 @t42 @t41 @t14)))) % 0.36/0.58 (step @p56 :rule bool-impl-elim :args (@t9 @t14)) % 0.36/0.58 (step @p57 :rule nary_cong :premises (@p44 @p56) :args ((or @t46 @t15))) % 0.36/0.58 (step @p58 :rule trans :premises (@p57 @p55)) % 0.36/0.58 (step @p59 :rule bool-impl-elim :args (@t16 @t15)) % 0.36/0.58 (step @p60 :rule trans :premises (@p59 @p58)) % 0.36/0.58 (step @p61 :rule cong :premises (@p60) :args (@t17)) % 0.36/0.58 (step @p62 :rule eq_resolve :premises (@p5 @p61)) % 0.36/0.58 (step @p63 :rule instantiate :premises (@p62) :args (@t63)) % 0.36/0.58 (step @p64 :rule bool-double-not-elim :args (@t54)) % 0.36/0.58 (step @p65 :rule refl :args (@t60)) % 0.36/0.58 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t60 (not @t55)))) % 0.36/0.58 (step @p67 :rule cnf_or_neg :args (@t60 2)) % 0.36/0.58 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.36/0.58 (step @p69 :rule reordering :premises (@p68) :args ((or @t54 @t60))) % 0.36/0.58 (step @p70 :rule chain_m_resolution :premises (@p69 @p52) :args (@t54 @t61 @t62)) % 0.36/0.58 (step @p71 :rule bool-double-not-elim :args (@t56)) % 0.36/0.58 (step @p72 :rule nary_cong :premises (@p65 @p71) :args ((or @t60 (not @t57)))) % 0.36/0.58 (step @p73 :rule cnf_or_neg :args (@t60 1)) % 0.36/0.58 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.36/0.58 (step @p75 :rule reordering :premises (@p74) :args ((or @t56 @t60))) % 0.36/0.58 (step @p76 :rule chain_m_resolution :premises (@p75 @p52) :args (@t56 @t61 @t62)) % 0.36/0.58 (step @p77 :rule bool-double-not-elim :args (@t58)) % 0.36/0.58 (step @p78 :rule nary_cong :premises (@p65 @p77) :args ((or @t60 (not @t59)))) % 0.36/0.58 (step @p79 :rule cnf_or_neg :args (@t60 0)) % 0.36/0.58 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.36/0.58 (step @p81 :rule reordering :premises (@p80) :args ((or @t58 @t60))) % 0.36/0.58 (step @p82 :rule chain_m_resolution :premises (@p81 @p52) :args (@t58 @t61 @t62)) % 0.36/0.58 (step @p83 :rule cnf_or_pos :args (@t66)) % 0.36/0.58 (step @p84 :rule reordering :premises (@p83) :args ((or @t59 @t57 @t55 @t65 (not @t66)))) % 0.36/0.58 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p76 @p70 @p63) :args (@t65 (@list false false false false) (@list @t58 @t56 @t54 @t66))) % 0.36/0.58 (step @p86 :rule symm :premises (@p85)) % 0.36/0.58 (step @p87 :rule cong :premises (@p86) :args (@t67)) % 0.36/0.58 (step @p88 :rule bool-impl-elim :args (@t8 @t32)) % 0.36/0.58 (step @p89 :rule cong :premises (@p88) :args (@t33)) % 0.36/0.58 (step @p90 :rule eq_resolve :premises (@p33 @p89)) % 0.36/0.58 (step @p91 :rule instantiate :premises (@p90) :args (@t63)) % 0.36/0.58 (step @p92 :rule cnf_or_pos :args (@t72)) % 0.36/0.58 (step @p93 :rule reordering :premises (@p92) :args ((or @t59 @t71 (not @t72)))) % 0.36/0.58 (step @p94 :rule chain_m_resolution :premises (@p93 @p82 @p91) :args (@t71 (@list false false) (@list @t58 @t72))) % 0.36/0.58 (step @p95 :rule cnf_and_pos :args (@t71 0)) % 0.36/0.58 (step @p96 :rule reordering :premises (@p95) :args ((or @t70 @t73))) % 0.36/0.58 (step @p97 :rule chain_m_resolution :premises (@p96 @p94) :args (@t70 @t74 @t75)) % 0.36/0.58 (step @p98 :rule trans :premises (@p97 @p87)) % 0.36/0.58 (step @p99 :rule cong :premises (@p86) :args (@t68)) % 0.36/0.58 (step @p100 :rule cnf_and_pos :args (@t71 1)) % 0.36/0.58 (step @p101 :rule reordering :premises (@p100) :args ((or @t69 @t73))) % 0.36/0.58 (step @p102 :rule chain_m_resolution :premises (@p101 @p94) :args (@t69 @t74 @t75)) % 0.36/0.58 (step @p103 :rule trans :premises (@p102 @p99)) % 0.36/0.58 (step @p104 :rule cnf_and_neg :args (@t53)) % 0.36/0.58 (step @p105 false :rule chain_m_resolution :premises (@p104 @p103 @p98 @p54) :args (false (@list false false true) (@list @t50 @t52 @t53))) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------