%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU062+1 : 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 : n022.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 08:50:31 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 : SEU062+1 : 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 % 0.16/0.34 % Computer : n022.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 16:27:23 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----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 $$unsorted 0) % 0.36/0.58 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.empty_set $$unsorted) % 0.36/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.function (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 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 () (and @t8 @t5 (tptp.one_to_one @t1))) % 0.36/0.58 (define @t10 () (and @t8 @t6 @t5)) % 0.36/0.58 (define @t11 () (@var "C" $$unsorted)) % 0.36/0.58 (define @t12 () (tptp.in @t11 @t2)) % 0.36/0.58 (define @t13 () (tptp.in @t11 @t1)) % 0.36/0.58 (define @t14 () (@list @t11)) % 0.36/0.58 (define @t15 () (forall @t14 (=> @t13 @t12))) % 0.36/0.58 (define @t16 () (tptp.subset @t1 @t2)) % 0.36/0.58 (define @t17 () (= @t16 @t15)) % 0.36/0.58 (define @t18 () (forall @t4 @t17)) % 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.singleton @t1)) % 0.36/0.58 (define @t24 () (tptp.relation_rng @t1)) % 0.36/0.58 (define @t25 () (tptp.empty @t24)) % 0.36/0.58 (define @t26 () (not @t6)) % 0.36/0.58 (define @t27 () (and @t26 @t8)) % 0.36/0.58 (define @t28 () (tptp.empty @t2)) % 0.36/0.58 (define @t29 () (tptp.element @t2 @t22)) % 0.36/0.58 (define @t30 () (tptp.relation_inverse_image @t2 @t23)) % 0.36/0.58 (define @t31 () (not (= @t30 tptp.empty_set))) % 0.36/0.58 (define @t32 () (tptp.relation_rng @t2)) % 0.36/0.58 (define @t33 () (tptp.in @t1 @t32)) % 0.36/0.58 (define @t34 () (= @t33 @t31)) % 0.36/0.58 (define @t35 () (tptp.relation @t2)) % 0.36/0.58 (define @t36 () (=> @t35 @t34)) % 0.36/0.58 (define @t37 () (forall @t4 @t36)) % 0.36/0.58 (define @t38 () (tptp.subset @t1 @t32)) % 0.36/0.58 (define @t39 () (tptp.singleton @t11)) % 0.36/0.58 (define @t40 () (tptp.relation_inverse_image @t2 @t39)) % 0.36/0.58 (define @t41 () (and @t13 (= @t40 tptp.empty_set))) % 0.36/0.58 (define @t42 () (not @t41)) % 0.36/0.58 (define @t43 () (forall @t14 @t42)) % 0.36/0.58 (define @t44 () (=> @t43 @t38)) % 0.36/0.58 (define @t45 () (=> @t35 @t44)) % 0.36/0.58 (define @t46 () (forall @t4 @t45)) % 0.36/0.58 (define @t47 () (not @t46)) % 0.36/0.58 (define @t48 () (tptp.element @t1 @t2)) % 0.36/0.58 (define @t49 () (tptp.element @t2 (tptp.powerset @t11))) % 0.36/0.58 (define @t50 () (@list @t1 @t2 @t11)) % 0.36/0.58 (define @t51 () (= tptp.empty_set @t40)) % 0.36/0.58 (define @t52 () (forall @t14 (or (not @t13) (not @t51)))) % 0.36/0.58 (define @t53 () (not @t52)) % 0.36/0.58 (define @t54 () (not @t35)) % 0.36/0.58 (define @t55 () (or @t54 @t53 @t38)) % 0.36/0.58 (define @t56 () (forall @t4 @t55)) % 0.36/0.58 (define @t57 () (@quantifiers_skolemize @t56 1)) % 0.36/0.58 (define @t58 () (tptp.relation_rng @t57)) % 0.36/0.58 (define @t59 () (@quantifiers_skolemize @t56 0)) % 0.36/0.58 (define @t60 () (=> @t52 @t38)) % 0.36/0.58 (define @t61 () (tptp.subset @t59 @t58)) % 0.36/0.58 (define @t62 () (not (tptp.in @t11 @t59))) % 0.36/0.58 (define @t63 () (forall @t14 (or @t62 (not (= tptp.empty_set (tptp.relation_inverse_image @t57 @t39)))))) % 0.36/0.58 (define @t64 () (not @t63)) % 0.36/0.58 (define @t65 () (tptp.relation @t57)) % 0.36/0.58 (define @t66 () (not @t65)) % 0.36/0.58 (define @t67 () (or @t66 @t64 @t61)) % 0.36/0.58 (define @t68 () (@list true)) % 0.36/0.58 (define @t69 () (@list @t67)) % 0.36/0.58 (define @t70 () (forall @t14 (or @t62 (tptp.in @t11 @t58)))) % 0.36/0.58 (define @t71 () (= @t61 @t70)) % 0.36/0.58 (define @t72 () (not @t70)) % 0.36/0.58 (define @t73 () (@quantifiers_skolemize @t70 0)) % 0.36/0.58 (define @t74 () (tptp.in @t73 @t58)) % 0.36/0.58 (define @t75 () (tptp.in @t73 @t59)) % 0.36/0.58 (define @t76 () (not @t75)) % 0.36/0.58 (define @t77 () (or @t76 @t74)) % 0.36/0.58 (define @t78 () (@list @t77)) % 0.36/0.58 (define @t79 () (= @t33 (not (= tptp.empty_set @t30)))) % 0.36/0.58 (define @t80 () (= tptp.empty_set (tptp.relation_inverse_image @t57 (tptp.singleton @t73)))) % 0.36/0.58 (define @t81 () (not @t80)) % 0.36/0.58 (define @t82 () (= @t74 @t81)) % 0.36/0.58 (define @t83 () (or @t66 @t82)) % 0.36/0.58 (define @t84 () (@list false false)) % 0.36/0.58 (define @t85 () (or @t76 @t81)) % 0.36/0.58 (define @t86 () (not @t82)) % 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 (=> @t10 @t9))) % 0.36/0.58 (assume @p5 @t18) % 0.36/0.58 (assume @p6 (forall @t7 (exists @t19 (tptp.element @t2 @t1)))) % 0.36/0.58 (assume @p7 (and @t21 @t20 (tptp.relation_empty_yielding tptp.empty_set))) % 0.36/0.58 (assume @p8 (forall @t7 (not (tptp.empty @t22)))) % 0.36/0.58 (assume @p9 @t21) % 0.36/0.58 (assume @p10 (forall @t7 (not (tptp.empty @t23)))) % 0.36/0.58 (assume @p11 (and @t21 @t20)) % 0.36/0.58 (assume @p12 (forall @t7 (=> @t27 (not @t25)))) % 0.36/0.58 (assume @p13 (forall @t7 (=> @t6 (and @t25 (tptp.relation @t24))))) % 0.36/0.58 (assume @p14 (exists @t7 (and @t8 @t5))) % 0.36/0.58 (assume @p15 (exists @t7 (and @t6 @t8))) % 0.36/0.58 (assume @p16 (forall @t7 (=> @t26 (exists @t19 (and @t29 (not @t28)))))) % 0.36/0.58 (assume @p17 (exists @t7 @t6)) % 0.36/0.58 (assume @p18 (exists @t7 @t10)) % 0.36/0.58 (assume @p19 (exists @t7 @t27)) % 0.36/0.58 (assume @p20 (forall @t7 (exists @t19 (and @t29 @t28)))) % 0.36/0.58 (assume @p21 (exists @t7 @t26)) % 0.36/0.58 (assume @p22 (exists @t7 @t9)) % 0.36/0.58 (assume @p23 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 0.36/0.58 (assume @p24 (forall @t4 (tptp.subset @t1 @t1))) % 0.36/0.58 (assume @p25 @t37) % 0.36/0.58 (assume @p26 @t47) % 0.36/0.58 (assume @p27 (forall @t4 (=> @t3 @t48))) % 0.36/0.58 (assume @p28 (forall @t4 (=> @t48 (or @t28 @t3)))) % 0.36/0.58 (assume @p29 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t16))) % 0.36/0.58 (assume @p30 (forall @t50 (=> (and @t3 @t49) (tptp.element @t1 @t11)))) % 0.36/0.58 (assume @p31 (forall @t50 (not (and @t3 @t49 (tptp.empty @t11))))) % 0.36/0.58 (assume @p32 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.36/0.58 (assume @p33 (forall @t4 (not (and @t3 @t28)))) % 0.36/0.58 (assume @p34 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t28)))) % 0.36/0.58 (assume @p35 true) % 0.36/0.58 (step @p36 :rule bool-impl-elim :args (@t13 @t12)) % 0.36/0.58 (step @p37 :rule cong :premises (@p36) :args (@t15)) % 0.36/0.58 (step @p38 :rule refl :args (@t16)) % 0.36/0.58 (step @p39 :rule cong :premises (@p38 @p37) :args (@t17)) % 0.36/0.58 (step @p40 :rule cong :premises (@p39) :args (@t18)) % 0.36/0.58 (step @p41 :rule eq_resolve :premises (@p5 @p40)) % 0.36/0.58 (step @p42 :rule instantiate :premises (@p41) :args ((@list @t59 @t58))) % 0.36/0.58 (step @p43 :rule aci_norm :args ((= (or @t54 (or @t53 @t38)) @t55))) % 0.36/0.58 (step @p44 :rule bool-impl-elim :args (@t52 @t38)) % 0.36/0.58 (step @p45 :rule refl :args (@t54)) % 0.36/0.58 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t54 @t60))) % 0.36/0.58 (step @p47 :rule trans :premises (@p46 @p43)) % 0.36/0.58 (step @p48 :rule bool-impl-elim :args (@t35 @t60)) % 0.36/0.58 (step @p49 :rule trans :premises (@p48 @p47)) % 0.36/0.58 (step @p50 :rule cong :premises (@p49) :args ((forall @t4 (=> @t35 @t60)))) % 0.36/0.58 (step @p51 :rule refl :args (@t38)) % 0.36/0.58 (step @p52 :rule bool-and-de-morgan :args (@t13 @t51 true)) % 0.36/0.58 (step @p53 :rule cong :premises (@p52) :args ((forall @t14 (not (and @t13 @t51))))) % 0.36/0.58 (step @p54 :rule eq-symm :args (@t40 tptp.empty_set)) % 0.36/0.58 (step @p55 :rule refl :args (@t13)) % 0.36/0.58 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t41)) % 0.36/0.58 (step @p57 :rule cong :premises (@p56) :args (@t42)) % 0.36/0.58 (step @p58 :rule cong :premises (@p57) :args (@t43)) % 0.36/0.58 (step @p59 :rule trans :premises (@p58 @p53)) % 0.36/0.58 (step @p60 :rule cong :premises (@p59 @p51) :args (@t44)) % 0.36/0.58 (step @p61 :rule refl :args (@t35)) % 0.36/0.58 (step @p62 :rule cong :premises (@p61 @p60) :args (@t45)) % 0.36/0.58 (step @p63 :rule cong :premises (@p62) :args (@t46)) % 0.36/0.58 (step @p64 :rule trans :premises (@p63 @p50)) % 0.36/0.58 (step @p65 :rule cong :premises (@p64) :args (@t47)) % 0.36/0.58 (step @p66 :rule eq_resolve :premises (@p26 @p65)) % 0.36/0.58 (step @p67 :rule skolemize :premises (@p66)) % 0.36/0.58 (step @p68 :rule cnf_or_neg :args (@t67 2)) % 0.36/0.58 (step @p69 :rule chain_m_resolution :premises (@p68 @p67) :args ((not @t61) @t68 @t69)) % 0.36/0.58 (step @p70 :rule cnf_equiv_pos2 :args (@t71)) % 0.36/0.58 (step @p71 :rule reordering :premises (@p70) :args ((or @t61 @t72 (not @t71)))) % 0.36/0.58 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p42) :args (@t72 (@list true false) (@list @t61 @t71))) % 0.36/0.58 (step @p73 :rule skolemize :premises (@p72)) % 0.36/0.58 (step @p74 :rule cnf_or_neg :args (@t77 1)) % 0.36/0.58 (step @p75 :rule chain_m_resolution :premises (@p74 @p73) :args ((not @t74) @t68 @t78)) % 0.36/0.58 (step @p76 :rule bool-impl-elim :args (@t35 @t79)) % 0.36/0.58 (step @p77 :rule cong :premises (@p76) :args ((forall @t4 (=> @t35 @t79)))) % 0.36/0.58 (step @p78 :rule eq-symm :args (@t30 tptp.empty_set)) % 0.36/0.58 (step @p79 :rule cong :premises (@p78) :args (@t31)) % 0.36/0.58 (step @p80 :rule refl :args (@t33)) % 0.36/0.58 (step @p81 :rule cong :premises (@p80 @p79) :args (@t34)) % 0.36/0.58 (step @p82 :rule cong :premises (@p61 @p81) :args (@t36)) % 0.36/0.58 (step @p83 :rule cong :premises (@p82) :args (@t37)) % 0.36/0.58 (step @p84 :rule trans :premises (@p83 @p77)) % 0.36/0.58 (step @p85 :rule eq_resolve :premises (@p25 @p84)) % 0.36/0.58 (step @p86 :rule instantiate :premises (@p85) :args ((@list @t73 @t57))) % 0.36/0.58 (step @p87 :rule bool-double-not-elim :args (@t65)) % 0.36/0.58 (step @p88 :rule refl :args (@t67)) % 0.36/0.58 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t67 (not @t66)))) % 0.36/0.58 (step @p90 :rule cnf_or_neg :args (@t67 0)) % 0.36/0.58 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.36/0.58 (step @p92 :rule reordering :premises (@p91) :args ((or @t65 @t67))) % 0.36/0.58 (step @p93 :rule chain_m_resolution :premises (@p92 @p67) :args (@t65 @t68 @t69)) % 0.36/0.58 (step @p94 :rule cnf_or_pos :args (@t83)) % 0.36/0.58 (step @p95 :rule reordering :premises (@p94) :args ((or @t66 @t82 (not @t83)))) % 0.36/0.58 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p86) :args (@t82 @t84 (@list @t65 @t83))) % 0.36/0.58 (step @p97 :rule bool-double-not-elim :args (@t63)) % 0.36/0.58 (step @p98 :rule nary_cong :premises (@p88 @p97) :args ((or @t67 (not @t64)))) % 0.36/0.58 (step @p99 :rule cnf_or_neg :args (@t67 1)) % 0.36/0.58 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.36/0.58 (step @p101 :rule reordering :premises (@p100) :args ((or @t63 @t67))) % 0.36/0.58 (step @p102 :rule chain_m_resolution :premises (@p101 @p67) :args (@t63 @t68 @t69)) % 0.36/0.58 (step @p103 :rule instantiate :premises (@p102) :args ((@list @t73))) % 0.36/0.58 (step @p104 :rule bool-double-not-elim :args (@t75)) % 0.36/0.58 (step @p105 :rule refl :args (@t77)) % 0.36/0.58 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t77 (not @t76)))) % 0.36/0.58 (step @p107 :rule cnf_or_neg :args (@t77 0)) % 0.36/0.58 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 0.36/0.58 (step @p109 :rule reordering :premises (@p108) :args ((or @t75 @t77))) % 0.36/0.58 (step @p110 :rule chain_m_resolution :premises (@p109 @p73) :args (@t75 @t68 @t78)) % 0.36/0.58 (step @p111 :rule cnf_or_pos :args (@t85)) % 0.36/0.58 (step @p112 :rule reordering :premises (@p111) :args ((or @t76 @t81 (not @t85)))) % 0.36/0.58 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p103) :args (@t81 @t84 (@list @t75 @t85))) % 0.36/0.58 (step @p114 :rule bool-double-not-elim :args (@t80)) % 0.36/0.58 (step @p115 :rule refl :args (@t74)) % 0.36/0.58 (step @p116 :rule refl :args (@t86)) % 0.36/0.58 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114) :args ((or @t86 @t74 (not @t81)))) % 0.36/0.58 (step @p118 :rule cnf_equiv_pos2 :args (@t82)) % 0.36/0.58 (step @p119 :rule eq_resolve :premises (@p118 @p117)) % 0.36/0.58 (step @p120 :rule reordering :premises (@p119) :args ((or @t74 @t80 @t86))) % 0.36/0.58 (step @p121 false :rule chain_m_resolution :premises (@p120 @p113 @p96 @p75) :args (false (@list true false true) (@list @t80 @t82 @t74))) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------