%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU320+1 : 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 : n025.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 08:51:22 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU320+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n025.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 16:56:46 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.top_str (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t2 () (tptp.powerset @t1)) % 0.38/0.57 (define @t3 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t4 () (tptp.subset_complement @t1 @t3)) % 0.38/0.57 (define @t5 () (tptp.element @t4 @t2)) % 0.38/0.57 (define @t6 () (tptp.element @t3 @t2)) % 0.38/0.57 (define @t7 () (@list @t1 @t3)) % 0.38/0.57 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.38/0.57 (define @t9 () (tptp.one_sorted_str @t1)) % 0.38/0.57 (define @t10 () (tptp.top_str @t1)) % 0.38/0.57 (define @t11 () (@list @t1)) % 0.38/0.57 (define @t12 () (@list @t3)) % 0.38/0.57 (define @t13 () (tptp.subset_complement @t1 @t4)) % 0.38/0.57 (define @t14 () (=> @t6 (= @t13 @t3))) % 0.38/0.57 (define @t15 () (forall @t7 @t14)) % 0.38/0.57 (define @t16 () (tptp.the_carrier @t1)) % 0.38/0.57 (define @t17 () (tptp.subset_complement @t16 @t3)) % 0.38/0.57 (define @t18 () (= (tptp.closed_subset @t3 @t1) (tptp.open_subset @t17 @t1))) % 0.38/0.57 (define @t19 () (tptp.powerset @t16)) % 0.38/0.57 (define @t20 () (tptp.element @t3 @t19)) % 0.38/0.57 (define @t21 () (forall @t12 (=> @t20 @t18))) % 0.38/0.57 (define @t22 () (=> @t10 @t21)) % 0.38/0.57 (define @t23 () (forall @t11 @t22)) % 0.38/0.57 (define @t24 () (= (tptp.open_subset @t3 @t1) (tptp.closed_subset @t17 @t1))) % 0.38/0.57 (define @t25 () (forall @t12 (=> @t20 @t24))) % 0.38/0.57 (define @t26 () (=> @t10 @t25)) % 0.38/0.57 (define @t27 () (forall @t11 @t26)) % 0.38/0.57 (define @t28 () (not @t27)) % 0.38/0.57 (define @t29 () (= @t3 @t13)) % 0.38/0.57 (define @t30 () (@var "BOUND_VARIABLE_7526" $$unsorted)) % 0.38/0.57 (define @t31 () (= (tptp.open_subset @t30 @t1) (tptp.closed_subset (tptp.subset_complement @t16 @t30) @t1))) % 0.38/0.57 (define @t32 () (not (tptp.element @t30 @t19))) % 0.38/0.57 (define @t33 () (not @t10)) % 0.38/0.57 (define @t34 () (or @t33 @t32 @t31)) % 0.38/0.57 (define @t35 () (@list @t1 @t30)) % 0.38/0.57 (define @t36 () (forall @t35 @t34)) % 0.38/0.57 (define @t37 () (@quantifiers_skolemize @t36 1)) % 0.38/0.57 (define @t38 () (@quantifiers_skolemize @t36 0)) % 0.38/0.57 (define @t39 () (tptp.the_carrier @t38)) % 0.38/0.57 (define @t40 () (@list @t39 @t37)) % 0.38/0.57 (define @t41 () (or @t32 @t31)) % 0.38/0.57 (define @t42 () (or @t33 @t41)) % 0.38/0.57 (define @t43 () (forall @t35 @t42)) % 0.38/0.57 (define @t44 () (@list @t30)) % 0.38/0.57 (define @t45 () (forall @t44 @t42)) % 0.38/0.57 (define @t46 () (forall @t44 @t41)) % 0.38/0.57 (define @t47 () (@list @t3)) % 0.38/0.57 (define @t48 () (or @t33 @t46)) % 0.38/0.57 (define @t49 () (not @t20)) % 0.38/0.57 (define @t50 () (forall @t12 (or @t49 @t24))) % 0.38/0.57 (define @t51 () (tptp.powerset @t39)) % 0.38/0.57 (define @t52 () (tptp.element @t37 @t51)) % 0.38/0.57 (define @t53 () (tptp.subset_complement @t39 @t37)) % 0.38/0.57 (define @t54 () (tptp.closed_subset @t53 @t38)) % 0.38/0.57 (define @t55 () (tptp.open_subset @t37 @t38)) % 0.38/0.57 (define @t56 () (= @t55 @t54)) % 0.38/0.57 (define @t57 () (not @t52)) % 0.38/0.57 (define @t58 () (tptp.top_str @t38)) % 0.38/0.57 (define @t59 () (not @t58)) % 0.38/0.57 (define @t60 () (or @t59 @t57 @t56)) % 0.38/0.57 (define @t61 () (@list true)) % 0.38/0.57 (define @t62 () (@list @t60)) % 0.38/0.57 (define @t63 () (tptp.subset_complement @t39 @t53)) % 0.38/0.57 (define @t64 () (= @t37 @t63)) % 0.38/0.57 (define @t65 () (or @t57 @t64)) % 0.38/0.57 (define @t66 () (@list false false)) % 0.38/0.57 (define @t67 () (@var "BOUND_VARIABLE_7505" $$unsorted)) % 0.38/0.57 (define @t68 () (= (tptp.closed_subset @t67 @t1) (tptp.open_subset (tptp.subset_complement @t16 @t67) @t1))) % 0.38/0.57 (define @t69 () (not (tptp.element @t67 @t19))) % 0.38/0.57 (define @t70 () (or @t69 @t68)) % 0.38/0.57 (define @t71 () (or @t33 @t70)) % 0.38/0.57 (define @t72 () (forall (@list @t1 @t67) @t71)) % 0.38/0.57 (define @t73 () (@list @t67)) % 0.38/0.57 (define @t74 () (forall @t73 @t71)) % 0.38/0.57 (define @t75 () (forall @t73 @t70)) % 0.38/0.57 (define @t76 () (or @t33 @t75)) % 0.38/0.57 (define @t77 () (forall @t12 (or @t49 @t18))) % 0.38/0.57 (define @t78 () (tptp.element @t53 @t51)) % 0.38/0.57 (define @t79 () (or @t57 @t78)) % 0.38/0.57 (define @t80 () (tptp.open_subset @t63 @t38)) % 0.38/0.57 (define @t81 () (= @t54 @t80)) % 0.38/0.57 (define @t82 () (not @t78)) % 0.38/0.57 (define @t83 () (or @t59 @t82 @t81)) % 0.38/0.57 (define @t84 () (not @t81)) % 0.38/0.57 (define @t85 () (not @t54)) % 0.38/0.57 (define @t86 () (not @t80)) % 0.38/0.57 (define @t87 () (not @t64)) % 0.38/0.57 (define @t88 () (not @t55)) % 0.38/0.57 (define @t89 () (and @t88 @t64)) % 0.38/0.57 (define @t90 () (@list true false)) % 0.38/0.57 (define @t91 () (and @t55 @t64)) % 0.38/0.57 (assume @p1 true) % 0.38/0.57 (assume @p2 @t8) % 0.38/0.57 (assume @p3 (forall @t11 (=> @t10 @t9))) % 0.38/0.57 (assume @p4 (exists @t11 @t10)) % 0.38/0.57 (assume @p5 (exists @t11 @t9)) % 0.38/0.57 (assume @p6 (forall @t11 (exists @t12 (tptp.element @t3 @t1)))) % 0.38/0.57 (assume @p7 @t15) % 0.38/0.57 (assume @p8 (forall @t7 (tptp.subset @t1 @t1))) % 0.38/0.57 (assume @p9 @t23) % 0.38/0.57 (assume @p10 @t28) % 0.38/0.57 (assume @p11 (forall @t7 (= (tptp.element @t1 (tptp.powerset @t3)) (tptp.subset @t1 @t3)))) % 0.38/0.57 (step @p12 :rule bool-impl-elim :args (@t6 @t29)) % 0.38/0.57 (step @p13 :rule cong :premises (@p12) :args ((forall @t7 (=> @t6 @t29)))) % 0.38/0.57 (step @p14 :rule eq-symm :args (@t13 @t3)) % 0.38/0.57 (step @p15 :rule refl :args (@t6)) % 0.38/0.57 (step @p16 :rule cong :premises (@p15 @p14) :args (@t14)) % 0.38/0.57 (step @p17 :rule cong :premises (@p16) :args (@t15)) % 0.38/0.57 (step @p18 :rule trans :premises (@p17 @p13)) % 0.38/0.57 (step @p19 :rule eq_resolve :premises (@p7 @p18)) % 0.38/0.57 (step @p20 :rule instantiate :premises (@p19) :args (@t40)) % 0.38/0.57 (step @p21 :rule aci_norm :args ((= @t42 @t34))) % 0.38/0.57 (step @p22 :rule cong :premises (@p21) :args (@t43)) % 0.38/0.57 (step @p23 :rule quant-merge-prenex :args ((= (forall @t11 @t45) @t43))) % 0.38/0.57 (step @p24 :rule alpha_equiv :args (@t46 (@list @t30) @t47)) % 0.38/0.57 (step @p25 :rule refl :args (@t33)) % 0.38/0.57 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t48)) % 0.38/0.57 (step @p27 :rule quant-miniscope-or :args ((= @t45 @t48))) % 0.38/0.57 (step @p28 :rule trans :premises (@p27 @p26)) % 0.38/0.57 (step @p29 :rule symm :premises (@p28)) % 0.38/0.57 (step @p30 :rule cong :premises (@p29) :args ((forall @t11 (or @t33 @t50)))) % 0.38/0.57 (step @p31 :rule trans :premises (@p30 @p23)) % 0.38/0.57 (step @p32 :rule trans :premises (@p31 @p22)) % 0.38/0.57 (step @p33 :rule bool-impl-elim :args (@t10 @t50)) % 0.38/0.57 (step @p34 :rule cong :premises (@p33) :args ((forall @t11 (=> @t10 @t50)))) % 0.38/0.57 (step @p35 :rule trans :premises (@p34 @p32)) % 0.38/0.57 (step @p36 :rule bool-impl-elim :args (@t20 @t24)) % 0.38/0.57 (step @p37 :rule cong :premises (@p36) :args (@t25)) % 0.38/0.57 (step @p38 :rule refl :args (@t10)) % 0.38/0.57 (step @p39 :rule cong :premises (@p38 @p37) :args (@t26)) % 0.38/0.57 (step @p40 :rule cong :premises (@p39) :args (@t27)) % 0.38/0.57 (step @p41 :rule trans :premises (@p40 @p35)) % 0.38/0.57 (step @p42 :rule cong :premises (@p41) :args (@t28)) % 0.38/0.57 (step @p43 :rule eq_resolve :premises (@p10 @p42)) % 0.38/0.57 (step @p44 :rule skolemize :premises (@p43)) % 0.38/0.57 (step @p45 :rule bool-double-not-elim :args (@t52)) % 0.38/0.57 (step @p46 :rule refl :args (@t60)) % 0.38/0.57 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t60 (not @t57)))) % 0.38/0.57 (step @p48 :rule cnf_or_neg :args (@t60 1)) % 0.38/0.57 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.38/0.57 (step @p50 :rule reordering :premises (@p49) :args ((or @t52 @t60))) % 0.38/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p44) :args (@t52 @t61 @t62)) % 0.38/0.57 (step @p52 :rule cnf_or_pos :args (@t65)) % 0.38/0.57 (step @p53 :rule reordering :premises (@p52) :args ((or @t57 @t64 (not @t65)))) % 0.38/0.57 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p20) :args (@t64 @t66 (@list @t52 @t65))) % 0.38/0.57 (step @p55 :rule cnf_or_neg :args (@t60 2)) % 0.38/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p44) :args ((not @t56) @t61 @t62)) % 0.38/0.57 (step @p57 :rule cnf_equiv_neg1 :args (@t56)) % 0.38/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t55 @t54 @t56))) % 0.38/0.57 (step @p59 :rule aci_norm :args ((= @t71 (or @t33 @t69 @t68)))) % 0.38/0.57 (step @p60 :rule cong :premises (@p59) :args (@t72)) % 0.38/0.57 (step @p61 :rule quant-merge-prenex :args ((= (forall @t11 @t74) @t72))) % 0.38/0.57 (step @p62 :rule alpha_equiv :args (@t75 (@list @t67) @t47)) % 0.38/0.57 (step @p63 :rule nary_cong :premises (@p25 @p62) :args (@t76)) % 0.38/0.57 (step @p64 :rule quant-miniscope-or :args ((= @t74 @t76))) % 0.38/0.57 (step @p65 :rule trans :premises (@p64 @p63)) % 0.38/0.57 (step @p66 :rule symm :premises (@p65)) % 0.38/0.57 (step @p67 :rule cong :premises (@p66) :args ((forall @t11 (or @t33 @t77)))) % 0.38/0.57 (step @p68 :rule trans :premises (@p67 @p61)) % 0.38/0.57 (step @p69 :rule trans :premises (@p68 @p60)) % 0.38/0.57 (step @p70 :rule bool-impl-elim :args (@t10 @t77)) % 0.38/0.57 (step @p71 :rule cong :premises (@p70) :args ((forall @t11 (=> @t10 @t77)))) % 0.38/0.57 (step @p72 :rule trans :premises (@p71 @p69)) % 0.38/0.57 (step @p73 :rule bool-impl-elim :args (@t20 @t18)) % 0.38/0.57 (step @p74 :rule cong :premises (@p73) :args (@t21)) % 0.38/0.57 (step @p75 :rule cong :premises (@p38 @p74) :args (@t22)) % 0.38/0.57 (step @p76 :rule cong :premises (@p75) :args (@t23)) % 0.38/0.57 (step @p77 :rule trans :premises (@p76 @p72)) % 0.38/0.57 (step @p78 :rule eq_resolve :premises (@p9 @p77)) % 0.38/0.57 (step @p79 :rule instantiate :premises (@p78) :args ((@list @t38 @t53))) % 0.38/0.57 (step @p80 :rule bool-impl-elim :args (@t6 @t5)) % 0.38/0.57 (step @p81 :rule cong :premises (@p80) :args (@t8)) % 0.38/0.57 (step @p82 :rule eq_resolve :premises (@p2 @p81)) % 0.38/0.57 (step @p83 :rule instantiate :premises (@p82) :args (@t40)) % 0.38/0.57 (step @p84 :rule cnf_or_pos :args (@t79)) % 0.38/0.57 (step @p85 :rule reordering :premises (@p84) :args ((or @t57 @t78 (not @t79)))) % 0.38/0.57 (step @p86 :rule chain_m_resolution :premises (@p85 @p51 @p83) :args (@t78 @t66 (@list @t52 @t79))) % 0.38/0.57 (step @p87 :rule bool-double-not-elim :args (@t58)) % 0.38/0.57 (step @p88 :rule nary_cong :premises (@p46 @p87) :args ((or @t60 (not @t59)))) % 0.38/0.57 (step @p89 :rule cnf_or_neg :args (@t60 0)) % 0.38/0.57 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.38/0.57 (step @p91 :rule reordering :premises (@p90) :args ((or @t58 @t60))) % 0.38/0.57 (step @p92 :rule chain_m_resolution :premises (@p91 @p44) :args (@t58 @t61 @t62)) % 0.38/0.57 (step @p93 :rule cnf_or_pos :args (@t83)) % 0.38/0.57 (step @p94 :rule reordering :premises (@p93) :args ((or @t59 @t82 @t81 (not @t83)))) % 0.38/0.57 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p86 @p79) :args (@t81 (@list false false false) (@list @t58 @t78 @t83))) % 0.38/0.57 (step @p96 :rule cnf_equiv_pos1 :args (@t81)) % 0.38/0.57 (step @p97 :rule reordering :premises (@p96) :args ((or @t85 @t80 @t84))) % 0.38/0.57 (step @p98 :rule refl :args (@t86)) % 0.38/0.57 (step @p99 :rule refl :args (@t87)) % 0.38/0.57 (step @p100 :rule bool-double-not-elim :args (@t55)) % 0.38/0.57 (step @p101 :rule nary_cong :premises (@p100 @p99 @p98) :args ((or (not @t88) @t87 @t86))) % 0.38/0.57 (assume-push @p150 @t88) % 0.38/0.57 (assume-push @p151 @t64) % 0.38/0.57 (assume-push @p152 @t88) % 0.38/0.57 (assume-push @p153 @t64) % 0.38/0.57 (step @p106 :rule false_intro :premises (@p150)) % 0.38/0.57 (step @p107 :rule refl :args (@t38)) % 0.38/0.57 (step @p108 :rule symm :premises (@p54)) % 0.38/0.57 (step @p109 :rule cong :premises (@p108 @p107) :args (@t80)) % 0.38/0.57 (step @p110 :rule trans :premises (@p109 @p106)) % 0.38/0.57 (step @p111 :rule false_elim :premises (@p110)) % 0.38/0.57 (step-pop @p154 :rule scope :premises (@p111)) % 0.38/0.57 (step-pop @p155 :rule scope :premises (@p154)) % 0.38/0.57 (step @p112 :rule process_scope :premises (@p155) :args (@t86)) % 0.38/0.57 (step @p115 :rule and_intro :premises (@p150 @p54)) % 0.38/0.57 (step @p116 :rule modus_ponens :premises (@p115 @p112)) % 0.38/0.57 (step-pop @p156 :rule scope :premises (@p116)) % 0.38/0.57 (step-pop @p157 :rule scope :premises (@p156)) % 0.38/0.57 (step @p117 :rule process_scope :premises (@p157) :args (@t86)) % 0.38/0.57 (step @p120 :rule implies_elim :premises (@p117)) % 0.38/0.57 (step @p121 :rule cnf_and_neg :args (@t89)) % 0.38/0.57 (step @p122 :rule resolution :premises (@p121 @p120) :args (true @t89)) % 0.38/0.57 (step @p123 :rule eq_resolve :premises (@p122 @p101)) % 0.38/0.57 (step @p124 :rule chain_m_resolution :premises (@p123 @p54 @p97 @p95 @p58 @p56) :args (@t55 (@list false false false false true) (@list @t64 @t80 @t81 @t54 @t56))) % 0.38/0.57 (step @p125 :rule cnf_equiv_neg2 :args (@t56)) % 0.38/0.57 (step @p126 :rule chain_m_resolution :premises (@p125 @p56 @p124) :args (@t85 @t90 (@list @t56 @t55))) % 0.38/0.57 (step @p127 :rule cnf_equiv_pos2 :args (@t81)) % 0.38/0.57 (step @p128 :rule reordering :premises (@p127) :args ((or @t54 @t86 @t84))) % 0.38/0.57 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p95) :args (@t86 @t90 (@list @t54 @t81))) % 0.38/0.57 (assume-push @p158 @t55) % 0.38/0.57 (assume-push @p159 @t64) % 0.38/0.57 (assume-push @p160 @t55) % 0.38/0.57 (assume-push @p161 @t64) % 0.38/0.57 (step @p134 :rule true_intro :premises (@p158)) % 0.38/0.57 (step @p107 :rule refl :args (@t38)) % 0.38/0.57 (step @p108 :rule symm :premises (@p54)) % 0.38/0.57 (step @p109 :rule cong :premises (@p108 @p107) :args (@t80)) % 0.38/0.57 (step @p135 :rule trans :premises (@p109 @p134)) % 0.38/0.57 (step @p136 :rule true_elim :premises (@p135)) % 0.38/0.57 (step-pop @p162 :rule scope :premises (@p136)) % 0.38/0.57 (step-pop @p163 :rule scope :premises (@p162)) % 0.38/0.57 (step @p137 :rule process_scope :premises (@p163) :args (@t80)) % 0.38/0.57 (step @p140 :rule and_intro :premises (@p158 @p54)) % 0.38/0.57 (step @p141 :rule modus_ponens :premises (@p140 @p137)) % 0.38/0.57 (step-pop @p164 :rule scope :premises (@p141)) % 0.38/0.57 (step-pop @p165 :rule scope :premises (@p164)) % 0.38/0.57 (step @p142 :rule process_scope :premises (@p165) :args (@t80)) % 0.38/0.57 (step @p145 :rule implies_elim :premises (@p142)) % 0.38/0.57 (step @p146 :rule cnf_and_neg :args (@t91)) % 0.38/0.57 (step @p147 :rule resolution :premises (@p146 @p145) :args (true @t91)) % 0.38/0.57 (step @p148 :rule reordering :premises (@p147) :args ((or @t88 @t80 @t87))) % 0.38/0.57 (step @p149 false :rule chain_m_resolution :premises (@p148 @p129 @p124 @p54) :args (false (@list true false false) (@list @t80 @t55 @t64))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------