%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU720^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:52:53 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 : SEU720^2 : TPTP v9.2.1. Released v3.7.0. % 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 : n011.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 17:48:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.38/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 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 $$unsorted 0) % 0.38/0.57 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.setminusI Bool) % 0.38/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t3 () (_ tptp.setminus @t2)) % 0.38/0.57 (define @t4 () (_ @t3 @t1)) % 0.38/0.57 (define @t5 () (@var "Xx" $$unsorted)) % 0.38/0.57 (define @t6 () (_ tptp.in @t5)) % 0.38/0.57 (define @t7 () (_ @t6 @t4)) % 0.38/0.57 (define @t8 () (_ @t6 @t1)) % 0.38/0.57 (define @t9 () (not @t8)) % 0.38/0.57 (define @t10 () (=> @t9 @t7)) % 0.38/0.57 (define @t11 () (_ @t6 @t2)) % 0.38/0.57 (define @t12 () (@list @t2 @t1 @t5)) % 0.38/0.57 (define @t13 () (forall @t12 (=> @t11 @t10))) % 0.38/0.57 (define @t14 () (= tptp.setminusI @t13)) % 0.38/0.57 (define @t15 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t16 () (_ @t6 @t15)) % 0.38/0.57 (define @t17 () (_ @t3 @t15)) % 0.38/0.57 (define @t18 () (_ @t6 @t17)) % 0.38/0.57 (define @t19 () (not @t18)) % 0.38/0.57 (define @t20 () (=> @t19 @t16)) % 0.38/0.57 (define @t21 () (@list @t5)) % 0.38/0.57 (define @t22 () (forall @t21 (=> @t11 @t20))) % 0.38/0.57 (define @t23 () (_ tptp.powerset @t2)) % 0.38/0.57 (define @t24 () (_ tptp.in @t15)) % 0.38/0.57 (define @t25 () (_ @t24 @t23)) % 0.38/0.57 (define @t26 () (=> @t25 @t22)) % 0.38/0.57 (define @t27 () (@list @t2 @t15)) % 0.38/0.57 (define @t28 () (forall @t27 @t26)) % 0.38/0.57 (define @t29 () (=> tptp.setminusI @t28)) % 0.38/0.57 (define @t30 () (not @t29)) % 0.38/0.57 (define @t31 () (@var "BOUND_VARIABLE_7480" $$unsorted)) % 0.38/0.57 (define @t32 () (tptp.in @t31 @t15)) % 0.38/0.57 (define @t33 () (tptp.setminus @t2 @t15)) % 0.38/0.57 (define @t34 () (tptp.in @t31 @t33)) % 0.38/0.57 (define @t35 () (not (tptp.in @t31 @t2))) % 0.38/0.57 (define @t36 () (tptp.powerset @t2)) % 0.38/0.57 (define @t37 () (tptp.in @t15 @t36)) % 0.38/0.57 (define @t38 () (not @t37)) % 0.38/0.57 (define @t39 () (or @t38 @t35 @t34 @t32)) % 0.38/0.57 (define @t40 () (@list @t2 @t15 @t31)) % 0.38/0.57 (define @t41 () (forall @t40 @t39)) % 0.38/0.57 (define @t42 () (tptp.setminus @t2 @t1)) % 0.38/0.57 (define @t43 () (tptp.in @t5 @t42)) % 0.38/0.57 (define @t44 () (tptp.in @t5 @t1)) % 0.38/0.57 (define @t45 () (tptp.in @t5 @t2)) % 0.38/0.57 (define @t46 () (not @t11)) % 0.38/0.57 (define @t47 () (or @t46 @t8 @t7)) % 0.38/0.57 (define @t48 () (=> tptp.setminusI @t41)) % 0.38/0.57 (define @t49 () (or @t35 @t34 @t32)) % 0.38/0.57 (define @t50 () (or @t38 @t49)) % 0.38/0.57 (define @t51 () (forall @t40 @t50)) % 0.38/0.57 (define @t52 () (@list @t31)) % 0.38/0.57 (define @t53 () (forall @t52 @t50)) % 0.38/0.57 (define @t54 () (forall @t52 @t49)) % 0.38/0.57 (define @t55 () (or @t38 @t54)) % 0.38/0.57 (define @t56 () (tptp.in @t5 @t15)) % 0.38/0.57 (define @t57 () (tptp.in @t5 @t33)) % 0.38/0.57 (define @t58 () (not @t45)) % 0.38/0.57 (define @t59 () (forall @t21 (or @t58 @t57 @t56))) % 0.38/0.57 (define @t60 () (not @t25)) % 0.38/0.57 (define @t61 () (or @t60 @t59)) % 0.38/0.57 (define @t62 () (or @t46 @t18 @t16)) % 0.38/0.57 (define @t63 () (@quantifiers_skolemize @t41 1)) % 0.38/0.57 (define @t64 () (@quantifiers_skolemize @t41 2)) % 0.38/0.57 (define @t65 () (tptp.in @t64 @t63)) % 0.38/0.57 (define @t66 () (@quantifiers_skolemize @t41 0)) % 0.38/0.57 (define @t67 () (tptp.in @t64 (tptp.setminus @t66 @t63))) % 0.38/0.57 (define @t68 () (tptp.in @t64 @t66)) % 0.38/0.57 (define @t69 () (not @t68)) % 0.38/0.57 (define @t70 () (or (not (tptp.in @t63 (tptp.powerset @t66))) @t69 @t67 @t65)) % 0.38/0.57 (define @t71 () (@list true)) % 0.38/0.57 (define @t72 () (@list @t70)) % 0.38/0.57 (define @t73 () (or @t69 @t65 @t67)) % 0.38/0.57 (define @t74 () (not @t73)) % 0.38/0.57 (define @t75 () (forall @t12 (or @t58 @t44 @t43))) % 0.38/0.57 (assume @p1 @t14) % 0.38/0.57 (assume @p2 @t30) % 0.38/0.57 (assume @p3 true) % 0.38/0.57 (step @p4 :rule refl :args (@t41)) % 0.38/0.57 (step @p5 :rule refl :args ((tptp.in @t5 @t4))) % 0.38/0.57 (step @p6 :rule refl :args (@t42)) % 0.38/0.57 (step @p7 :rule refl :args (@t5)) % 0.38/0.57 (step @p8 :rule cong :premises (@p7 @p6) :args (@t43)) % 0.38/0.57 (step @p9 :rule trans :premises (@p8 @p5)) % 0.38/0.57 (step @p10 :rule refl :args (@t6)) % 0.38/0.57 (step @p11 :rule ho_cong :premises (@p10 @p6)) % 0.38/0.57 (step @p12 :rule cong :premises (@p11 @p9) :args ((= (_ @t6 @t42) @t43))) % 0.38/0.57 (step @p13 :rule symm :premises (@p12)) % 0.38/0.57 (step @p14 :rule refl :args (@t7)) % 0.38/0.57 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 0.38/0.57 (step @p16 :rule refl :args (@t4)) % 0.38/0.57 (step @p17 :rule cong :premises (@p16 @p6) :args ((= @t4 @t42))) % 0.38/0.57 (step @p18 :rule symm :premises (@p17)) % 0.38/0.57 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.38/0.57 (step @p20 :rule ho_cong :premises (@p10 @p19)) % 0.38/0.57 (step @p21 :rule trans :premises (@p20 @p15)) % 0.38/0.57 (step @p22 :rule refl :args (@t44)) % 0.38/0.57 (step @p23 :rule refl :args (@t8)) % 0.38/0.57 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t8 @t44))) % 0.38/0.57 (step @p25 :rule symm :premises (@p24)) % 0.38/0.57 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.38/0.57 (step @p27 :rule refl :args (@t45)) % 0.38/0.57 (step @p28 :rule refl :args (@t11)) % 0.38/0.57 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t11 @t45))) % 0.38/0.57 (step @p30 :rule symm :premises (@p29)) % 0.38/0.57 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.38/0.57 (step @p32 :rule cong :premises (@p31) :args (@t46)) % 0.38/0.57 (step @p33 :rule nary_cong :premises (@p32 @p26 @p21) :args (@t47)) % 0.38/0.57 (step @p34 :rule cong :premises (@p33) :args ((forall @t12 @t47))) % 0.38/0.57 (step @p35 :rule aci_norm :args ((= (or @t46 (or @t8 @t7)) @t47))) % 0.38/0.57 (step @p36 :rule bool-double-not-elim :args (@t8)) % 0.38/0.57 (step @p37 :rule nary_cong :premises (@p36 @p14) :args ((or (not @t9) @t7))) % 0.38/0.57 (step @p38 :rule bool-impl-elim :args (@t9 @t7)) % 0.38/0.57 (step @p39 :rule trans :premises (@p38 @p37)) % 0.38/0.57 (step @p40 :rule refl :args (@t46)) % 0.38/0.57 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t46 @t10))) % 0.38/0.57 (step @p42 :rule trans :premises (@p41 @p35)) % 0.38/0.57 (step @p43 :rule bool-impl-elim :args (@t11 @t10)) % 0.38/0.57 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.57 (step @p45 :rule cong :premises (@p44) :args (@t13)) % 0.38/0.57 (step @p46 :rule trans :premises (@p45 @p34)) % 0.38/0.57 (step @p47 :rule refl :args (tptp.setminusI)) % 0.38/0.57 (step @p48 :rule cong :premises (@p47 @p46) :args (@t14)) % 0.38/0.57 (step @p49 :rule eq_resolve :premises (@p1 @p48)) % 0.38/0.57 (step @p50 :rule cong :premises (@p49 @p4) :args (@t48)) % 0.38/0.57 (step @p51 :rule cong :premises (@p50) :args ((not @t48))) % 0.38/0.57 (step @p52 :rule aci_norm :args ((= @t50 @t39))) % 0.38/0.57 (step @p53 :rule cong :premises (@p52) :args (@t51)) % 0.38/0.57 (step @p54 :rule quant-merge-prenex :args ((= (forall @t27 @t53) @t51))) % 0.38/0.57 (step @p55 :rule alpha_equiv :args (@t54 (@list @t31) (@list @t5))) % 0.38/0.57 (step @p56 :rule refl :args (@t38)) % 0.38/0.57 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t55)) % 0.38/0.57 (step @p58 :rule quant-miniscope-or :args ((= @t53 @t55))) % 0.38/0.57 (step @p59 :rule trans :premises (@p58 @p57)) % 0.38/0.57 (step @p60 :rule symm :premises (@p59)) % 0.38/0.57 (step @p61 :rule cong :premises (@p60) :args ((forall @t27 (or @t38 @t59)))) % 0.38/0.57 (step @p62 :rule trans :premises (@p61 @p54)) % 0.38/0.57 (step @p63 :rule trans :premises (@p62 @p53)) % 0.38/0.57 (step @p64 :rule refl :args (@t59)) % 0.38/0.57 (step @p65 :rule refl :args ((tptp.in @t15 @t23))) % 0.38/0.57 (step @p66 :rule refl :args (@t36)) % 0.38/0.57 (step @p67 :rule refl :args (@t15)) % 0.38/0.57 (step @p68 :rule cong :premises (@p67 @p66) :args (@t37)) % 0.38/0.57 (step @p69 :rule trans :premises (@p68 @p65)) % 0.38/0.57 (step @p70 :rule refl :args (@t24)) % 0.38/0.57 (step @p71 :rule ho_cong :premises (@p70 @p66)) % 0.38/0.57 (step @p72 :rule cong :premises (@p71 @p69) :args ((= (_ @t24 @t36) @t37))) % 0.38/0.57 (step @p73 :rule symm :premises (@p72)) % 0.38/0.57 (step @p74 :rule refl :args (@t25)) % 0.38/0.57 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.38/0.57 (step @p76 :rule refl :args (@t23)) % 0.38/0.57 (step @p77 :rule cong :premises (@p76 @p66) :args ((= @t23 @t36))) % 0.38/0.57 (step @p78 :rule symm :premises (@p77)) % 0.38/0.57 (step @p79 :rule eq_resolve :premises (@p76 @p78)) % 0.38/0.57 (step @p80 :rule ho_cong :premises (@p70 @p79)) % 0.38/0.57 (step @p81 :rule trans :premises (@p80 @p75)) % 0.38/0.57 (step @p82 :rule cong :premises (@p81) :args (@t60)) % 0.38/0.57 (step @p83 :rule nary_cong :premises (@p82 @p64) :args (@t61)) % 0.38/0.57 (step @p84 :rule cong :premises (@p83) :args ((forall @t27 @t61))) % 0.38/0.57 (step @p85 :rule trans :premises (@p84 @p63)) % 0.38/0.57 (step @p86 :rule bool-impl-elim :args (@t25 @t59)) % 0.38/0.57 (step @p87 :rule cong :premises (@p86) :args ((forall @t27 (=> @t25 @t59)))) % 0.38/0.57 (step @p88 :rule trans :premises (@p87 @p85)) % 0.38/0.57 (step @p89 :rule refl :args (@t56)) % 0.38/0.57 (step @p90 :rule refl :args (@t16)) % 0.38/0.57 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t16 @t56))) % 0.38/0.57 (step @p92 :rule symm :premises (@p91)) % 0.38/0.57 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 0.38/0.57 (step @p94 :rule refl :args ((tptp.in @t5 @t17))) % 0.38/0.57 (step @p95 :rule refl :args (@t33)) % 0.38/0.57 (step @p96 :rule cong :premises (@p7 @p95) :args (@t57)) % 0.38/0.57 (step @p97 :rule trans :premises (@p96 @p94)) % 0.38/0.57 (step @p98 :rule ho_cong :premises (@p10 @p95)) % 0.38/0.57 (step @p99 :rule cong :premises (@p98 @p97) :args ((= (_ @t6 @t33) @t57))) % 0.38/0.57 (step @p100 :rule symm :premises (@p99)) % 0.38/0.57 (step @p101 :rule refl :args (@t18)) % 0.38/0.57 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.38/0.57 (step @p103 :rule refl :args (@t17)) % 0.38/0.57 (step @p104 :rule cong :premises (@p103 @p95) :args ((= @t17 @t33))) % 0.38/0.57 (step @p105 :rule symm :premises (@p104)) % 0.38/0.57 (step @p106 :rule eq_resolve :premises (@p103 @p105)) % 0.38/0.57 (step @p107 :rule ho_cong :premises (@p10 @p106)) % 0.38/0.57 (step @p108 :rule trans :premises (@p107 @p102)) % 0.38/0.57 (step @p109 :rule nary_cong :premises (@p32 @p108 @p93) :args (@t62)) % 0.38/0.57 (step @p110 :rule cong :premises (@p109) :args ((forall @t21 @t62))) % 0.38/0.57 (step @p111 :rule aci_norm :args ((= (or @t46 (or @t18 @t16)) @t62))) % 0.38/0.57 (step @p112 :rule bool-double-not-elim :args (@t18)) % 0.38/0.57 (step @p113 :rule nary_cong :premises (@p112 @p90) :args ((or (not @t19) @t16))) % 0.38/0.57 (step @p114 :rule bool-impl-elim :args (@t19 @t16)) % 0.38/0.57 (step @p115 :rule trans :premises (@p114 @p113)) % 0.38/0.57 (step @p116 :rule nary_cong :premises (@p40 @p115) :args ((or @t46 @t20))) % 0.38/0.57 (step @p117 :rule trans :premises (@p116 @p111)) % 0.38/0.57 (step @p118 :rule bool-impl-elim :args (@t11 @t20)) % 0.38/0.57 (step @p119 :rule trans :premises (@p118 @p117)) % 0.38/0.57 (step @p120 :rule cong :premises (@p119) :args (@t22)) % 0.38/0.57 (step @p121 :rule trans :premises (@p120 @p110)) % 0.38/0.57 (step @p122 :rule refl :args (@t25)) % 0.38/0.57 (step @p123 :rule cong :premises (@p122 @p121) :args (@t26)) % 0.38/0.57 (step @p124 :rule cong :premises (@p123) :args (@t28)) % 0.38/0.57 (step @p125 :rule trans :premises (@p124 @p88)) % 0.38/0.57 (step @p126 :rule cong :premises (@p47 @p125) :args (@t29)) % 0.38/0.57 (step @p127 :rule cong :premises (@p126) :args (@t30)) % 0.38/0.57 (step @p128 :rule trans :premises (@p127 @p51)) % 0.38/0.57 (step @p129 :rule eq_resolve :premises (@p2 @p128)) % 0.38/0.57 (step @p130 :rule not_implies_elim1 :premises (@p129)) % 0.38/0.57 (step @p131 :rule not_implies_elim2 :premises (@p129)) % 0.38/0.57 (step @p132 :rule skolemize :premises (@p131)) % 0.38/0.57 (step @p133 :rule cnf_or_neg :args (@t70 3)) % 0.38/0.57 (step @p134 :rule chain_m_resolution :premises (@p133 @p132) :args ((not @t65) @t71 @t72)) % 0.38/0.57 (step @p135 :rule cnf_or_neg :args (@t70 2)) % 0.38/0.57 (step @p136 :rule chain_m_resolution :premises (@p135 @p132) :args ((not @t67) @t71 @t72)) % 0.38/0.57 (step @p137 :rule bool-double-not-elim :args (@t68)) % 0.38/0.57 (step @p138 :rule refl :args (@t70)) % 0.38/0.57 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or @t70 (not @t69)))) % 0.38/0.57 (step @p140 :rule cnf_or_neg :args (@t70 1)) % 0.38/0.57 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 0.38/0.57 (step @p142 :rule reordering :premises (@p141) :args ((or @t68 @t70))) % 0.38/0.57 (step @p143 :rule chain_m_resolution :premises (@p142 @p132) :args (@t68 @t71 @t72)) % 0.38/0.57 (step @p144 :rule cnf_or_pos :args (@t73)) % 0.38/0.57 (step @p145 :rule reordering :premises (@p144) :args ((or @t69 @t67 @t65 @t74))) % 0.38/0.57 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p136 @p134) :args (@t74 (@list false true true) (@list @t68 @t67 @t65))) % 0.38/0.57 (assume-push @p153 @t75) % 0.38/0.57 (step @p148 :rule instantiate :premises (@p130) :args ((@list @t66 @t63 @t64))) % 0.38/0.57 (step-pop @p154 :rule scope :premises (@p148)) % 0.38/0.57 (step @p149 :rule process_scope :premises (@p154) :args (@t73)) % 0.38/0.57 (step @p151 :rule implies_elim :premises (@p149)) % 0.38/0.57 (step @p152 false :rule chain_m_resolution :premises (@p151 @p146 @p130) :args (false (@list true false) (@list @t73 @t75))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------