%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU652^2 : 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 : n020.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 08:52:35 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU652^2 : 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 : n020.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 17:44:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.49 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.secondinupair Bool) % 0.38/0.56 (declare-const tptp.uniqinunit Bool) % 0.38/0.56 (declare-const tptp.emptyset $$unsorted) % 0.38/0.56 (declare-const tptp.setadjoinIL Bool) % 0.38/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (define @t1 () (@var "Xy" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "Xx" $$unsorted)) % 0.38/0.56 (define @t3 () (_ tptp.setadjoin @t2)) % 0.38/0.56 (define @t4 () (_ @t3 @t1)) % 0.38/0.56 (define @t5 () (_ tptp.in @t2)) % 0.38/0.56 (define @t6 () (_ @t5 @t4)) % 0.38/0.56 (define @t7 () (@list @t2 @t1)) % 0.38/0.56 (define @t8 () (forall @t7 @t6)) % 0.38/0.56 (define @t9 () (= tptp.setadjoinIL @t8)) % 0.38/0.56 (define @t10 () (= @t2 @t1)) % 0.38/0.56 (define @t11 () (_ (_ tptp.setadjoin @t1) tptp.emptyset)) % 0.38/0.56 (define @t12 () (_ @t5 @t11)) % 0.38/0.56 (define @t13 () (forall @t7 (=> @t12 @t10))) % 0.38/0.56 (define @t14 () (= tptp.uniqinunit @t13)) % 0.38/0.56 (define @t15 () (_ @t3 @t11)) % 0.38/0.56 (define @t16 () (_ tptp.in @t1)) % 0.38/0.56 (define @t17 () (_ @t16 @t15)) % 0.38/0.56 (define @t18 () (forall @t7 @t17)) % 0.38/0.56 (define @t19 () (= tptp.secondinupair @t18)) % 0.38/0.56 (define @t20 () (@var "Xz" $$unsorted)) % 0.38/0.56 (define @t21 () (_ (_ tptp.setadjoin @t20) tptp.emptyset)) % 0.38/0.56 (define @t22 () (= @t15 @t21)) % 0.38/0.56 (define @t23 () (@list @t2 @t1 @t20)) % 0.38/0.56 (define @t24 () (forall @t23 (=> @t22 @t10))) % 0.38/0.56 (define @t25 () (=> tptp.secondinupair @t24)) % 0.38/0.56 (define @t26 () (=> tptp.uniqinunit @t25)) % 0.38/0.56 (define @t27 () (=> tptp.setadjoinIL @t26)) % 0.38/0.56 (define @t28 () (not @t27)) % 0.38/0.56 (define @t29 () (tptp.setadjoin @t20 tptp.emptyset)) % 0.38/0.56 (define @t30 () (tptp.setadjoin @t1 tptp.emptyset)) % 0.38/0.56 (define @t31 () (tptp.setadjoin @t2 @t30)) % 0.38/0.56 (define @t32 () (forall @t23 (or (not (= @t31 @t29)) @t10))) % 0.38/0.56 (define @t33 () (tptp.in @t1 @t31)) % 0.38/0.56 (define @t34 () (=> tptp.secondinupair @t32)) % 0.38/0.56 (define @t35 () (tptp.in @t2 @t30)) % 0.38/0.56 (define @t36 () (not @t12)) % 0.38/0.56 (define @t37 () (or @t36 @t10)) % 0.38/0.56 (define @t38 () (=> tptp.uniqinunit @t34)) % 0.38/0.56 (define @t39 () (tptp.setadjoin @t2 @t1)) % 0.38/0.56 (define @t40 () (tptp.in @t2 @t39)) % 0.38/0.56 (define @t41 () (=> tptp.setadjoinIL @t38)) % 0.38/0.56 (define @t42 () (not @t22)) % 0.38/0.56 (define @t43 () (or @t42 @t10)) % 0.38/0.56 (define @t44 () (@quantifiers_skolemize @t32 2)) % 0.38/0.56 (define @t45 () (@quantifiers_skolemize @t32 1)) % 0.38/0.56 (define @t46 () (@quantifiers_skolemize @t32 0)) % 0.38/0.56 (define @t47 () (tptp.setadjoin @t44 tptp.emptyset)) % 0.38/0.56 (define @t48 () (tptp.setadjoin @t45 tptp.emptyset)) % 0.38/0.56 (define @t49 () (= (tptp.setadjoin @t46 @t48) @t47)) % 0.38/0.56 (define @t50 () (= @t46 @t45)) % 0.38/0.56 (define @t51 () (not @t49)) % 0.38/0.56 (define @t52 () (or @t51 @t50)) % 0.38/0.56 (define @t53 () (@list true)) % 0.38/0.56 (define @t54 () (@list @t52)) % 0.38/0.56 (define @t55 () (tptp.in @t45 @t47)) % 0.38/0.56 (define @t56 () (= @t45 @t44)) % 0.38/0.56 (define @t57 () (not @t55)) % 0.38/0.56 (define @t58 () (or @t57 @t56)) % 0.38/0.56 (define @t59 () (@list false false)) % 0.38/0.56 (define @t60 () (tptp.in @t46 @t47)) % 0.38/0.56 (define @t61 () (= @t46 @t44)) % 0.38/0.56 (define @t62 () (not @t60)) % 0.38/0.56 (define @t63 () (or @t62 @t61)) % 0.38/0.56 (assume @p1 @t9) % 0.38/0.56 (assume @p2 @t14) % 0.38/0.56 (assume @p3 @t19) % 0.38/0.56 (assume @p4 @t28) % 0.38/0.56 (assume @p5 true) % 0.38/0.56 (step @p6 :rule evaluate :args ((= false true))) % 0.38/0.56 (step @p7 :rule refl :args (@t32)) % 0.38/0.56 (step @p8 :rule refl :args ((tptp.in @t1 @t15))) % 0.38/0.56 (step @p9 :rule refl :args ((tptp.setadjoin @t2 @t11))) % 0.38/0.56 (step @p10 :rule refl :args (@t30)) % 0.38/0.56 (step @p11 :rule refl :args (@t2)) % 0.38/0.56 (step @p12 :rule cong :premises (@p11 @p10) :args (@t31)) % 0.38/0.56 (step @p13 :rule trans :premises (@p12 @p9)) % 0.38/0.56 (step @p14 :rule refl :args (@t1)) % 0.38/0.56 (step @p15 :rule cong :premises (@p14 @p13) :args (@t33)) % 0.38/0.56 (step @p16 :rule trans :premises (@p15 @p8)) % 0.38/0.56 (step @p17 :rule refl :args (@t16)) % 0.38/0.56 (step @p18 :rule ho_cong :premises (@p17 @p13)) % 0.38/0.56 (step @p19 :rule cong :premises (@p18 @p16) :args ((= (_ @t16 @t31) @t33))) % 0.38/0.56 (step @p20 :rule symm :premises (@p19)) % 0.38/0.56 (step @p21 :rule refl :args (@t17)) % 0.38/0.56 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.38/0.56 (step @p23 :rule refl :args (@t3)) % 0.38/0.56 (step @p24 :rule ho_cong :premises (@p23 @p10)) % 0.38/0.56 (step @p25 :rule cong :premises (@p24 @p13) :args ((= (_ @t3 @t30) @t31))) % 0.38/0.56 (step @p26 :rule symm :premises (@p25)) % 0.38/0.56 (step @p27 :rule refl :args (@t15)) % 0.38/0.56 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 0.38/0.56 (step @p29 :rule refl :args (@t11)) % 0.38/0.56 (step @p30 :rule cong :premises (@p29 @p10) :args ((= @t11 @t30))) % 0.38/0.56 (step @p31 :rule symm :premises (@p30)) % 0.38/0.56 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.38/0.56 (step @p33 :rule ho_cong :premises (@p23 @p32)) % 0.38/0.56 (step @p34 :rule trans :premises (@p33 @p28)) % 0.38/0.56 (step @p35 :rule ho_cong :premises (@p17 @p34)) % 0.38/0.56 (step @p36 :rule trans :premises (@p35 @p22)) % 0.38/0.56 (step @p37 :rule cong :premises (@p36) :args (@t18)) % 0.38/0.56 (step @p38 :rule refl :args (tptp.secondinupair)) % 0.38/0.56 (step @p39 :rule cong :premises (@p38 @p37) :args (@t19)) % 0.38/0.56 (step @p40 :rule eq_resolve :premises (@p3 @p39)) % 0.38/0.56 (step @p41 :rule cong :premises (@p40 @p7) :args (@t34)) % 0.38/0.56 (step @p42 :rule refl :args (@t10)) % 0.38/0.56 (step @p43 :rule refl :args ((tptp.in @t2 @t11))) % 0.38/0.56 (step @p44 :rule cong :premises (@p11 @p10) :args (@t35)) % 0.38/0.56 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.56 (step @p46 :rule refl :args (@t5)) % 0.38/0.56 (step @p47 :rule ho_cong :premises (@p46 @p10)) % 0.38/0.56 (step @p48 :rule cong :premises (@p47 @p45) :args ((= (_ @t5 @t30) @t35))) % 0.38/0.56 (step @p49 :rule symm :premises (@p48)) % 0.38/0.56 (step @p50 :rule refl :args (@t12)) % 0.38/0.56 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.38/0.56 (step @p52 :rule ho_cong :premises (@p46 @p32)) % 0.38/0.56 (step @p53 :rule trans :premises (@p52 @p51)) % 0.38/0.56 (step @p54 :rule cong :premises (@p53) :args (@t36)) % 0.38/0.56 (step @p55 :rule nary_cong :premises (@p54 @p42) :args (@t37)) % 0.38/0.56 (step @p56 :rule cong :premises (@p55) :args ((forall @t7 @t37))) % 0.38/0.56 (step @p57 :rule bool-impl-elim :args (@t12 @t10)) % 0.38/0.56 (step @p58 :rule cong :premises (@p57) :args (@t13)) % 0.38/0.56 (step @p59 :rule trans :premises (@p58 @p56)) % 0.38/0.56 (step @p60 :rule refl :args (tptp.uniqinunit)) % 0.38/0.56 (step @p61 :rule cong :premises (@p60 @p59) :args (@t14)) % 0.38/0.56 (step @p62 :rule eq_resolve :premises (@p2 @p61)) % 0.38/0.56 (step @p63 :rule cong :premises (@p62 @p41) :args (@t38)) % 0.38/0.56 (step @p64 :rule refl :args ((tptp.in @t2 @t4))) % 0.38/0.56 (step @p65 :rule refl :args (@t39)) % 0.38/0.56 (step @p66 :rule cong :premises (@p11 @p65) :args (@t40)) % 0.38/0.56 (step @p67 :rule trans :premises (@p66 @p64)) % 0.38/0.56 (step @p68 :rule ho_cong :premises (@p46 @p65)) % 0.38/0.56 (step @p69 :rule cong :premises (@p68 @p67) :args ((= (_ @t5 @t39) @t40))) % 0.38/0.56 (step @p70 :rule symm :premises (@p69)) % 0.38/0.56 (step @p71 :rule refl :args (@t6)) % 0.38/0.56 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.38/0.56 (step @p73 :rule refl :args (@t4)) % 0.38/0.56 (step @p74 :rule cong :premises (@p73 @p65) :args ((= @t4 @t39))) % 0.38/0.56 (step @p75 :rule symm :premises (@p74)) % 0.38/0.56 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.38/0.56 (step @p77 :rule ho_cong :premises (@p46 @p76)) % 0.38/0.56 (step @p78 :rule trans :premises (@p77 @p72)) % 0.38/0.56 (step @p79 :rule cong :premises (@p78) :args (@t8)) % 0.38/0.56 (step @p80 :rule refl :args (tptp.setadjoinIL)) % 0.38/0.56 (step @p81 :rule cong :premises (@p80 @p79) :args (@t9)) % 0.38/0.56 (step @p82 :rule eq_resolve :premises (@p1 @p81)) % 0.38/0.56 (step @p83 :rule cong :premises (@p82 @p63) :args (@t41)) % 0.38/0.56 (step @p84 :rule cong :premises (@p83) :args ((not @t41))) % 0.38/0.56 (step @p85 :rule refl :args (@t29)) % 0.38/0.56 (step @p86 :rule refl :args (@t21)) % 0.38/0.56 (step @p87 :rule cong :premises (@p86 @p85) :args ((= @t21 @t29))) % 0.38/0.56 (step @p88 :rule symm :premises (@p87)) % 0.38/0.56 (step @p89 :rule eq_resolve :premises (@p86 @p88)) % 0.38/0.56 (step @p90 :rule cong :premises (@p34 @p89) :args (@t22)) % 0.38/0.56 (step @p91 :rule cong :premises (@p90) :args (@t42)) % 0.38/0.56 (step @p92 :rule nary_cong :premises (@p91 @p42) :args (@t43)) % 0.38/0.56 (step @p93 :rule cong :premises (@p92) :args ((forall @t23 @t43))) % 0.38/0.56 (step @p94 :rule bool-impl-elim :args (@t22 @t10)) % 0.38/0.56 (step @p95 :rule cong :premises (@p94) :args (@t24)) % 0.38/0.56 (step @p96 :rule trans :premises (@p95 @p93)) % 0.38/0.56 (step @p97 :rule cong :premises (@p38 @p96) :args (@t25)) % 0.38/0.56 (step @p98 :rule cong :premises (@p60 @p97) :args (@t26)) % 0.38/0.56 (step @p99 :rule cong :premises (@p80 @p98) :args (@t27)) % 0.38/0.56 (step @p100 :rule cong :premises (@p99) :args (@t28)) % 0.38/0.56 (step @p101 :rule trans :premises (@p100 @p84)) % 0.38/0.56 (step @p102 :rule eq_resolve :premises (@p4 @p101)) % 0.38/0.56 (step @p103 :rule not_implies_elim2 :premises (@p102)) % 0.38/0.56 (step @p104 :rule not_implies_elim1 :premises (@p103)) % 0.38/0.56 (step @p105 :rule instantiate :premises (@p104) :args ((@list @t45 @t44))) % 0.38/0.56 (step @p106 :rule not_implies_elim2 :premises (@p103)) % 0.38/0.56 (step @p107 :rule not_implies_elim1 :premises (@p106)) % 0.38/0.56 (step @p108 :rule instantiate :premises (@p107) :args ((@list @t46 @t45))) % 0.38/0.56 (step @p109 :rule true_intro :premises (@p108)) % 0.38/0.56 (step @p110 :rule not_implies_elim2 :premises (@p106)) % 0.38/0.56 (step @p111 :rule skolemize :premises (@p110)) % 0.38/0.56 (step @p112 :rule bool-double-not-elim :args (@t49)) % 0.38/0.56 (step @p113 :rule refl :args (@t52)) % 0.38/0.56 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t52 (not @t51)))) % 0.38/0.56 (step @p115 :rule cnf_or_neg :args (@t52 0)) % 0.38/0.56 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.38/0.56 (step @p117 :rule reordering :premises (@p116) :args ((or @t49 @t52))) % 0.38/0.56 (step @p118 :rule chain_m_resolution :premises (@p117 @p111) :args (@t49 @t53 @t54)) % 0.38/0.56 (step @p119 :rule symm :premises (@p118)) % 0.38/0.56 (step @p120 :rule refl :args (@t45)) % 0.38/0.56 (step @p121 :rule cong :premises (@p120 @p119) :args (@t55)) % 0.38/0.56 (step @p122 :rule trans :premises (@p121 @p109)) % 0.38/0.56 (step @p123 :rule true_elim :premises (@p122)) % 0.38/0.56 (step @p124 :rule cnf_or_pos :args (@t58)) % 0.38/0.56 (step @p125 :rule reordering :premises (@p124) :args ((or @t57 @t56 (not @t58)))) % 0.38/0.56 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p105) :args (@t56 @t59 (@list @t55 @t58))) % 0.38/0.56 (step @p127 :rule symm :premises (@p126)) % 0.38/0.56 (step @p128 :rule instantiate :premises (@p104) :args ((@list @t46 @t44))) % 0.38/0.56 (step @p129 :rule not_implies_elim1 :premises (@p102)) % 0.38/0.56 (step @p130 :rule instantiate :premises (@p129) :args ((@list @t46 @t48))) % 0.38/0.56 (step @p131 :rule true_intro :premises (@p130)) % 0.38/0.56 (step @p132 :rule refl :args (@t46)) % 0.38/0.56 (step @p133 :rule cong :premises (@p132 @p119) :args (@t60)) % 0.38/0.56 (step @p134 :rule trans :premises (@p133 @p131)) % 0.38/0.56 (step @p135 :rule true_elim :premises (@p134)) % 0.38/0.56 (step @p136 :rule cnf_or_pos :args (@t63)) % 0.38/0.56 (step @p137 :rule reordering :premises (@p136) :args ((or @t62 @t61 (not @t63)))) % 0.38/0.56 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p128) :args (@t61 @t59 (@list @t60 @t63))) % 0.38/0.56 (step @p139 :rule trans :premises (@p138 @p127)) % 0.38/0.56 (step @p140 :rule true_intro :premises (@p139)) % 0.38/0.56 (step @p141 :rule cnf_or_neg :args (@t52 1)) % 0.38/0.56 (step @p142 :rule chain_m_resolution :premises (@p141 @p111) :args ((not @t50) @t53 @t54)) % 0.38/0.56 (step @p143 :rule false_intro :premises (@p142)) % 0.38/0.56 (step @p144 :rule symm :premises (@p143)) % 0.38/0.56 (step @p145 :rule trans :premises (@p144 @p140)) % 0.38/0.56 (step @p146 false :rule eq_resolve :premises (@p145 @p6)) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------