%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU719^2 : 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 : n004.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 08:52:52 AM UTC 2026 % Result : Theorem 0.29s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU719^2 : 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 % 0.16/0.34 % Computer : n004.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 17:49:07 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TH0 % 0.29/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.55 % SZS status Theorem % 0.29/0.55 % SZS output start Proof % 0.29/0.55 ( % 0.29/0.55 (declare-sort $$unsorted 0) % 0.29/0.55 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.29/0.55 (declare-const tptp.setminusER Bool) % 0.29/0.55 (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.55 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.29/0.55 (define @t1 () (@var "B" $$unsorted)) % 0.29/0.55 (define @t2 () (@var "Xx" $$unsorted)) % 0.29/0.55 (define @t3 () (_ tptp.in @t2)) % 0.29/0.55 (define @t4 () (_ @t3 @t1)) % 0.29/0.55 (define @t5 () (not @t4)) % 0.29/0.55 (define @t6 () (@var "A" $$unsorted)) % 0.29/0.55 (define @t7 () (_ tptp.setminus @t6)) % 0.29/0.55 (define @t8 () (_ @t7 @t1)) % 0.29/0.55 (define @t9 () (_ @t3 @t8)) % 0.29/0.55 (define @t10 () (@list @t6 @t1 @t2)) % 0.29/0.55 (define @t11 () (forall @t10 (=> @t9 @t5))) % 0.29/0.55 (define @t12 () (= tptp.setminusER @t11)) % 0.29/0.55 (define @t13 () (@var "X" $$unsorted)) % 0.29/0.55 (define @t14 () (_ @t7 @t13)) % 0.29/0.55 (define @t15 () (_ @t3 @t14)) % 0.29/0.55 (define @t16 () (not @t15)) % 0.29/0.55 (define @t17 () (_ @t3 @t13)) % 0.29/0.55 (define @t18 () (=> @t17 @t16)) % 0.29/0.55 (define @t19 () (_ @t3 @t6)) % 0.29/0.55 (define @t20 () (@list @t2)) % 0.29/0.55 (define @t21 () (forall @t20 (=> @t19 @t18))) % 0.29/0.55 (define @t22 () (_ tptp.powerset @t6)) % 0.29/0.55 (define @t23 () (_ tptp.in @t13)) % 0.29/0.55 (define @t24 () (_ @t23 @t22)) % 0.29/0.55 (define @t25 () (=> @t24 @t21)) % 0.29/0.55 (define @t26 () (@list @t6 @t13)) % 0.29/0.55 (define @t27 () (forall @t26 @t25)) % 0.29/0.55 (define @t28 () (=> tptp.setminusER @t27)) % 0.29/0.55 (define @t29 () (not @t28)) % 0.29/0.55 (define @t30 () (tptp.setminus @t6 @t13)) % 0.29/0.55 (define @t31 () (@var "BOUND_VARIABLE_7484" $$unsorted)) % 0.29/0.55 (define @t32 () (not (tptp.in @t31 @t30))) % 0.29/0.55 (define @t33 () (not (tptp.in @t31 @t13))) % 0.29/0.55 (define @t34 () (not (tptp.in @t31 @t6))) % 0.29/0.55 (define @t35 () (tptp.powerset @t6)) % 0.29/0.55 (define @t36 () (tptp.in @t13 @t35)) % 0.29/0.55 (define @t37 () (not @t36)) % 0.29/0.55 (define @t38 () (or @t37 @t34 @t33 @t32)) % 0.29/0.55 (define @t39 () (@list @t6 @t13 @t31)) % 0.29/0.55 (define @t40 () (forall @t39 @t38)) % 0.29/0.55 (define @t41 () (tptp.in @t2 @t1)) % 0.29/0.55 (define @t42 () (tptp.setminus @t6 @t1)) % 0.29/0.55 (define @t43 () (tptp.in @t2 @t42)) % 0.29/0.55 (define @t44 () (not @t9)) % 0.29/0.55 (define @t45 () (or @t44 @t5)) % 0.29/0.55 (define @t46 () (=> tptp.setminusER @t40)) % 0.29/0.55 (define @t47 () (or @t34 @t33 @t32)) % 0.29/0.55 (define @t48 () (or @t37 @t47)) % 0.29/0.55 (define @t49 () (forall @t39 @t48)) % 0.29/0.55 (define @t50 () (@list @t31)) % 0.29/0.55 (define @t51 () (forall @t50 @t48)) % 0.29/0.55 (define @t52 () (forall @t50 @t47)) % 0.29/0.55 (define @t53 () (or @t37 @t52)) % 0.29/0.55 (define @t54 () (tptp.in @t2 @t30)) % 0.29/0.55 (define @t55 () (tptp.in @t2 @t13)) % 0.29/0.55 (define @t56 () (tptp.in @t2 @t6)) % 0.29/0.55 (define @t57 () (forall @t20 (or (not @t56) (not @t55) (not @t54)))) % 0.29/0.55 (define @t58 () (not @t24)) % 0.29/0.55 (define @t59 () (or @t58 @t57)) % 0.29/0.55 (define @t60 () (not @t17)) % 0.29/0.55 (define @t61 () (not @t19)) % 0.29/0.55 (define @t62 () (or @t61 @t60 @t16)) % 0.29/0.55 (define @t63 () (@quantifiers_skolemize @t40 1)) % 0.29/0.55 (define @t64 () (@quantifiers_skolemize @t40 0)) % 0.29/0.55 (define @t65 () (@quantifiers_skolemize @t40 2)) % 0.29/0.55 (define @t66 () (tptp.in @t65 (tptp.setminus @t64 @t63))) % 0.29/0.55 (define @t67 () (not @t66)) % 0.29/0.55 (define @t68 () (tptp.in @t65 @t63)) % 0.29/0.55 (define @t69 () (not @t68)) % 0.29/0.55 (define @t70 () (or (not (tptp.in @t63 (tptp.powerset @t64))) (not (tptp.in @t65 @t64)) @t69 @t67)) % 0.29/0.55 (define @t71 () (@list true)) % 0.29/0.55 (define @t72 () (@list @t70)) % 0.29/0.55 (define @t73 () (or @t67 @t69)) % 0.29/0.55 (define @t74 () (not @t73)) % 0.29/0.55 (define @t75 () (forall @t10 (or (not @t43) (not @t41)))) % 0.29/0.55 (assume @p1 @t12) % 0.29/0.55 (assume @p2 @t29) % 0.29/0.55 (assume @p3 true) % 0.29/0.55 (step @p4 :rule refl :args (@t40)) % 0.29/0.55 (step @p5 :rule refl :args (@t41)) % 0.29/0.55 (step @p6 :rule refl :args (@t4)) % 0.29/0.55 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t4 @t41))) % 0.29/0.55 (step @p8 :rule symm :premises (@p7)) % 0.29/0.55 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.29/0.55 (step @p10 :rule cong :premises (@p9) :args (@t5)) % 0.29/0.55 (step @p11 :rule refl :args ((tptp.in @t2 @t8))) % 0.29/0.55 (step @p12 :rule refl :args (@t42)) % 0.29/0.55 (step @p13 :rule refl :args (@t2)) % 0.29/0.55 (step @p14 :rule cong :premises (@p13 @p12) :args (@t43)) % 0.29/0.55 (step @p15 :rule trans :premises (@p14 @p11)) % 0.29/0.55 (step @p16 :rule refl :args (@t3)) % 0.29/0.55 (step @p17 :rule ho_cong :premises (@p16 @p12)) % 0.29/0.55 (step @p18 :rule cong :premises (@p17 @p15) :args ((= (_ @t3 @t42) @t43))) % 0.29/0.55 (step @p19 :rule symm :premises (@p18)) % 0.29/0.55 (step @p20 :rule refl :args (@t9)) % 0.29/0.55 (step @p21 :rule eq_resolve :premises (@p20 @p19)) % 0.29/0.55 (step @p22 :rule refl :args (@t8)) % 0.29/0.55 (step @p23 :rule cong :premises (@p22 @p12) :args ((= @t8 @t42))) % 0.29/0.55 (step @p24 :rule symm :premises (@p23)) % 0.29/0.55 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.29/0.55 (step @p26 :rule ho_cong :premises (@p16 @p25)) % 0.29/0.55 (step @p27 :rule trans :premises (@p26 @p21)) % 0.29/0.55 (step @p28 :rule cong :premises (@p27) :args (@t44)) % 0.29/0.55 (step @p29 :rule nary_cong :premises (@p28 @p10) :args (@t45)) % 0.29/0.55 (step @p30 :rule cong :premises (@p29) :args ((forall @t10 @t45))) % 0.29/0.55 (step @p31 :rule bool-impl-elim :args (@t9 @t5)) % 0.29/0.55 (step @p32 :rule cong :premises (@p31) :args (@t11)) % 0.29/0.55 (step @p33 :rule trans :premises (@p32 @p30)) % 0.29/0.55 (step @p34 :rule refl :args (tptp.setminusER)) % 0.29/0.55 (step @p35 :rule cong :premises (@p34 @p33) :args (@t12)) % 0.29/0.55 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 0.29/0.55 (step @p37 :rule cong :premises (@p36 @p4) :args (@t46)) % 0.29/0.55 (step @p38 :rule cong :premises (@p37) :args ((not @t46))) % 0.29/0.55 (step @p39 :rule aci_norm :args ((= @t48 @t38))) % 0.29/0.55 (step @p40 :rule cong :premises (@p39) :args (@t49)) % 0.29/0.55 (step @p41 :rule quant-merge-prenex :args ((= (forall @t26 @t51) @t49))) % 0.29/0.55 (step @p42 :rule alpha_equiv :args (@t52 (@list @t31) (@list @t2))) % 0.29/0.55 (step @p43 :rule refl :args (@t37)) % 0.29/0.55 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t53)) % 0.29/0.55 (step @p45 :rule quant-miniscope-or :args ((= @t51 @t53))) % 0.29/0.55 (step @p46 :rule trans :premises (@p45 @p44)) % 0.29/0.55 (step @p47 :rule symm :premises (@p46)) % 0.29/0.55 (step @p48 :rule cong :premises (@p47) :args ((forall @t26 (or @t37 @t57)))) % 0.29/0.55 (step @p49 :rule trans :premises (@p48 @p41)) % 0.29/0.55 (step @p50 :rule trans :premises (@p49 @p40)) % 0.29/0.55 (step @p51 :rule refl :args (@t57)) % 0.29/0.55 (step @p52 :rule refl :args ((tptp.in @t13 @t22))) % 0.29/0.55 (step @p53 :rule refl :args (@t35)) % 0.29/0.55 (step @p54 :rule refl :args (@t13)) % 0.29/0.55 (step @p55 :rule cong :premises (@p54 @p53) :args (@t36)) % 0.29/0.55 (step @p56 :rule trans :premises (@p55 @p52)) % 0.29/0.55 (step @p57 :rule refl :args (@t23)) % 0.29/0.55 (step @p58 :rule ho_cong :premises (@p57 @p53)) % 0.29/0.55 (step @p59 :rule cong :premises (@p58 @p56) :args ((= (_ @t23 @t35) @t36))) % 0.29/0.55 (step @p60 :rule symm :premises (@p59)) % 0.29/0.55 (step @p61 :rule refl :args (@t24)) % 0.29/0.55 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.29/0.55 (step @p63 :rule refl :args (@t22)) % 0.29/0.55 (step @p64 :rule cong :premises (@p63 @p53) :args ((= @t22 @t35))) % 0.29/0.55 (step @p65 :rule symm :premises (@p64)) % 0.29/0.55 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.29/0.55 (step @p67 :rule ho_cong :premises (@p57 @p66)) % 0.29/0.55 (step @p68 :rule trans :premises (@p67 @p62)) % 0.29/0.55 (step @p69 :rule cong :premises (@p68) :args (@t58)) % 0.29/0.55 (step @p70 :rule nary_cong :premises (@p69 @p51) :args (@t59)) % 0.29/0.55 (step @p71 :rule cong :premises (@p70) :args ((forall @t26 @t59))) % 0.29/0.55 (step @p72 :rule trans :premises (@p71 @p50)) % 0.29/0.55 (step @p73 :rule bool-impl-elim :args (@t24 @t57)) % 0.29/0.55 (step @p74 :rule cong :premises (@p73) :args ((forall @t26 (=> @t24 @t57)))) % 0.29/0.55 (step @p75 :rule trans :premises (@p74 @p72)) % 0.29/0.55 (step @p76 :rule refl :args ((tptp.in @t2 @t14))) % 0.29/0.55 (step @p77 :rule refl :args (@t30)) % 0.29/0.55 (step @p78 :rule cong :premises (@p13 @p77) :args (@t54)) % 0.29/0.55 (step @p79 :rule trans :premises (@p78 @p76)) % 0.29/0.55 (step @p80 :rule ho_cong :premises (@p16 @p77)) % 0.29/0.55 (step @p81 :rule cong :premises (@p80 @p79) :args ((= (_ @t3 @t30) @t54))) % 0.29/0.55 (step @p82 :rule symm :premises (@p81)) % 0.29/0.55 (step @p83 :rule refl :args (@t15)) % 0.29/0.55 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.29/0.55 (step @p85 :rule refl :args (@t14)) % 0.29/0.55 (step @p86 :rule cong :premises (@p85 @p77) :args ((= @t14 @t30))) % 0.29/0.55 (step @p87 :rule symm :premises (@p86)) % 0.29/0.55 (step @p88 :rule eq_resolve :premises (@p85 @p87)) % 0.29/0.55 (step @p89 :rule ho_cong :premises (@p16 @p88)) % 0.29/0.55 (step @p90 :rule trans :premises (@p89 @p84)) % 0.29/0.55 (step @p91 :rule cong :premises (@p90) :args (@t16)) % 0.29/0.55 (step @p92 :rule refl :args (@t55)) % 0.29/0.55 (step @p93 :rule refl :args (@t17)) % 0.29/0.55 (step @p94 :rule cong :premises (@p93 @p92) :args ((= @t17 @t55))) % 0.29/0.55 (step @p95 :rule symm :premises (@p94)) % 0.29/0.55 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 0.29/0.55 (step @p97 :rule cong :premises (@p96) :args (@t60)) % 0.29/0.55 (step @p98 :rule refl :args (@t56)) % 0.29/0.55 (step @p99 :rule refl :args (@t19)) % 0.29/0.55 (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t19 @t56))) % 0.29/0.55 (step @p101 :rule symm :premises (@p100)) % 0.29/0.55 (step @p102 :rule eq_resolve :premises (@p99 @p101)) % 0.29/0.55 (step @p103 :rule cong :premises (@p102) :args (@t61)) % 0.37/0.55 (step @p104 :rule nary_cong :premises (@p103 @p97 @p91) :args (@t62)) % 0.37/0.55 (step @p105 :rule cong :premises (@p104) :args ((forall @t20 @t62))) % 0.37/0.55 (step @p106 :rule aci_norm :args ((= (or @t61 (or @t60 @t16)) @t62))) % 0.37/0.55 (step @p107 :rule bool-impl-elim :args (@t17 @t16)) % 0.37/0.55 (step @p108 :rule refl :args (@t61)) % 0.37/0.55 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t61 @t18))) % 0.37/0.55 (step @p110 :rule trans :premises (@p109 @p106)) % 0.37/0.55 (step @p111 :rule bool-impl-elim :args (@t19 @t18)) % 0.37/0.55 (step @p112 :rule trans :premises (@p111 @p110)) % 0.37/0.55 (step @p113 :rule cong :premises (@p112) :args (@t21)) % 0.37/0.55 (step @p114 :rule trans :premises (@p113 @p105)) % 0.37/0.55 (step @p115 :rule refl :args (@t24)) % 0.37/0.55 (step @p116 :rule cong :premises (@p115 @p114) :args (@t25)) % 0.37/0.55 (step @p117 :rule cong :premises (@p116) :args (@t27)) % 0.37/0.55 (step @p118 :rule trans :premises (@p117 @p75)) % 0.37/0.55 (step @p119 :rule cong :premises (@p34 @p118) :args (@t28)) % 0.37/0.55 (step @p120 :rule cong :premises (@p119) :args (@t29)) % 0.37/0.55 (step @p121 :rule trans :premises (@p120 @p38)) % 0.37/0.55 (step @p122 :rule eq_resolve :premises (@p2 @p121)) % 0.37/0.55 (step @p123 :rule not_implies_elim1 :premises (@p122)) % 0.37/0.55 (step @p124 :rule not_implies_elim2 :premises (@p122)) % 0.37/0.55 (step @p125 :rule skolemize :premises (@p124)) % 0.37/0.55 (step @p126 :rule bool-double-not-elim :args (@t66)) % 0.37/0.55 (step @p127 :rule refl :args (@t70)) % 0.37/0.55 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t70 (not @t67)))) % 0.37/0.55 (step @p129 :rule cnf_or_neg :args (@t70 3)) % 0.37/0.55 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 0.37/0.55 (step @p131 :rule reordering :premises (@p130) :args ((or @t66 @t70))) % 0.37/0.55 (step @p132 :rule chain_m_resolution :premises (@p131 @p125) :args (@t66 @t71 @t72)) % 0.37/0.55 (step @p133 :rule bool-double-not-elim :args (@t68)) % 0.37/0.55 (step @p134 :rule nary_cong :premises (@p127 @p133) :args ((or @t70 (not @t69)))) % 0.37/0.55 (step @p135 :rule cnf_or_neg :args (@t70 2)) % 0.37/0.55 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 0.37/0.55 (step @p137 :rule reordering :premises (@p136) :args ((or @t68 @t70))) % 0.37/0.55 (step @p138 :rule chain_m_resolution :premises (@p137 @p125) :args (@t68 @t71 @t72)) % 0.37/0.55 (step @p139 :rule cnf_or_pos :args (@t73)) % 0.37/0.55 (step @p140 :rule reordering :premises (@p139) :args ((or @t69 @t67 @t74))) % 0.37/0.55 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p132) :args (@t74 (@list false false) (@list @t68 @t66))) % 0.37/0.55 (assume-push @p148 @t75) % 0.37/0.55 (step @p143 :rule instantiate :premises (@p123) :args ((@list @t64 @t63 @t65))) % 0.37/0.55 (step-pop @p149 :rule scope :premises (@p143)) % 0.37/0.55 (step @p144 :rule process_scope :premises (@p149) :args (@t73)) % 0.37/0.55 (step @p146 :rule implies_elim :premises (@p144)) % 0.37/0.55 (step @p147 false :rule chain_m_resolution :premises (@p146 @p141 @p123) :args (false (@list true false) (@list @t73 @t75))) % 0.37/0.55 ) % 0.37/0.55 % SZS output end Proof % 0.37/0.55 % cvc5 exiting %------------------------------------------------------------------------------