%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU617^2 : 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 : 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 08:52:26 AM UTC 2026 % Result : Theorem 0.38s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU617^2 : 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 % 0.15/0.34 % Computer : n025.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:43:16 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.38/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.55 % SZS status Theorem % 0.38/0.55 % SZS output start Proof % 0.38/0.55 ( % 0.38/0.55 (declare-sort $$unsorted 0) % 0.38/0.55 (declare-const tptp.emptyset $$unsorted) % 0.38/0.55 (declare-const tptp.setunionI Bool) % 0.38/0.55 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.38/0.55 (declare-const tptp.setadjoinIL Bool) % 0.38/0.55 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.55 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.55 (define @t1 () (@var "Xy" $$unsorted)) % 0.38/0.55 (define @t2 () (@var "Xx" $$unsorted)) % 0.38/0.55 (define @t3 () (_ tptp.setadjoin @t2)) % 0.38/0.55 (define @t4 () (_ @t3 @t1)) % 0.38/0.55 (define @t5 () (_ tptp.in @t2)) % 0.38/0.55 (define @t6 () (_ @t5 @t4)) % 0.38/0.55 (define @t7 () (@list @t2 @t1)) % 0.38/0.55 (define @t8 () (forall @t7 @t6)) % 0.38/0.55 (define @t9 () (= tptp.setadjoinIL @t8)) % 0.38/0.55 (define @t10 () (@var "A" $$unsorted)) % 0.38/0.55 (define @t11 () (_ tptp.setunion @t10)) % 0.38/0.55 (define @t12 () (_ @t5 @t11)) % 0.38/0.55 (define @t13 () (@var "B" $$unsorted)) % 0.38/0.55 (define @t14 () (_ (_ tptp.in @t13) @t10)) % 0.38/0.55 (define @t15 () (=> @t14 @t12)) % 0.38/0.55 (define @t16 () (_ @t5 @t13)) % 0.38/0.55 (define @t17 () (@list @t10 @t2 @t13)) % 0.38/0.55 (define @t18 () (forall @t17 (=> @t16 @t15))) % 0.38/0.55 (define @t19 () (= tptp.setunionI @t18)) % 0.38/0.55 (define @t20 () (_ (_ tptp.setadjoin @t1) tptp.emptyset)) % 0.38/0.55 (define @t21 () (_ @t3 @t20)) % 0.38/0.55 (define @t22 () (_ (_ tptp.setadjoin @t21) tptp.emptyset)) % 0.38/0.55 (define @t23 () (_ @t3 tptp.emptyset)) % 0.38/0.55 (define @t24 () (_ (_ tptp.setadjoin @t23) @t22)) % 0.38/0.55 (define @t25 () (_ tptp.setunion @t24)) % 0.38/0.55 (define @t26 () (_ @t5 @t25)) % 0.38/0.55 (define @t27 () (forall @t7 @t26)) % 0.38/0.55 (define @t28 () (=> tptp.setunionI @t27)) % 0.38/0.55 (define @t29 () (=> tptp.setadjoinIL @t28)) % 0.38/0.55 (define @t30 () (not @t29)) % 0.38/0.55 (define @t31 () (tptp.setadjoin @t1 tptp.emptyset)) % 0.38/0.55 (define @t32 () (tptp.setadjoin @t2 @t31)) % 0.38/0.55 (define @t33 () (tptp.setadjoin @t32 tptp.emptyset)) % 0.38/0.55 (define @t34 () (tptp.setadjoin @t2 tptp.emptyset)) % 0.38/0.55 (define @t35 () (tptp.setadjoin @t34 @t33)) % 0.38/0.55 (define @t36 () (tptp.setunion @t35)) % 0.38/0.55 (define @t37 () (tptp.in @t2 @t36)) % 0.38/0.55 (define @t38 () (forall @t7 @t37)) % 0.38/0.55 (define @t39 () (tptp.setunion @t10)) % 0.38/0.55 (define @t40 () (tptp.in @t2 @t39)) % 0.38/0.55 (define @t41 () (tptp.in @t13 @t10)) % 0.38/0.55 (define @t42 () (not @t14)) % 0.38/0.55 (define @t43 () (tptp.in @t2 @t13)) % 0.38/0.55 (define @t44 () (not @t16)) % 0.38/0.55 (define @t45 () (or @t44 @t42 @t12)) % 0.38/0.55 (define @t46 () (=> tptp.setunionI @t38)) % 0.38/0.55 (define @t47 () (tptp.setadjoin @t2 @t1)) % 0.38/0.55 (define @t48 () (tptp.in @t2 @t47)) % 0.38/0.55 (define @t49 () (=> tptp.setadjoinIL @t46)) % 0.38/0.55 (define @t50 () (@quantifiers_skolemize @t38 0)) % 0.38/0.55 (define @t51 () (tptp.setadjoin (tptp.setadjoin @t50 (tptp.setadjoin (@quantifiers_skolemize @t38 1) tptp.emptyset)) tptp.emptyset)) % 0.38/0.55 (define @t52 () (tptp.setadjoin @t50 tptp.emptyset)) % 0.38/0.55 (define @t53 () (tptp.setadjoin @t52 @t51)) % 0.38/0.55 (define @t54 () (tptp.in @t50 (tptp.setunion @t53))) % 0.38/0.55 (define @t55 () (tptp.in @t52 @t53)) % 0.38/0.55 (define @t56 () (not @t55)) % 0.38/0.55 (define @t57 () (tptp.in @t50 @t52)) % 0.38/0.55 (define @t58 () (not @t57)) % 0.38/0.55 (define @t59 () (or @t58 @t56 @t54)) % 0.38/0.55 (define @t60 () (not @t59)) % 0.38/0.55 (define @t61 () (forall @t17 (or (not @t43) (not @t41) @t40))) % 0.38/0.55 (assume @p1 @t9) % 0.38/0.55 (assume @p2 @t19) % 0.38/0.55 (assume @p3 @t30) % 0.38/0.55 (assume @p4 true) % 0.38/0.55 (step @p5 :rule refl :args (@t38)) % 0.38/0.55 (step @p6 :rule refl :args ((tptp.in @t2 @t11))) % 0.38/0.55 (step @p7 :rule refl :args (@t39)) % 0.38/0.55 (step @p8 :rule refl :args (@t2)) % 0.38/0.55 (step @p9 :rule cong :premises (@p8 @p7) :args (@t40)) % 0.38/0.55 (step @p10 :rule trans :premises (@p9 @p6)) % 0.38/0.55 (step @p11 :rule refl :args (@t5)) % 0.38/0.55 (step @p12 :rule ho_cong :premises (@p11 @p7)) % 0.38/0.55 (step @p13 :rule cong :premises (@p12 @p10) :args ((= (_ @t5 @t39) @t40))) % 0.38/0.55 (step @p14 :rule symm :premises (@p13)) % 0.38/0.55 (step @p15 :rule refl :args (@t12)) % 0.38/0.55 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.38/0.55 (step @p17 :rule refl :args (@t11)) % 0.38/0.55 (step @p18 :rule cong :premises (@p17 @p7) :args ((= @t11 @t39))) % 0.38/0.55 (step @p19 :rule symm :premises (@p18)) % 0.38/0.55 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.38/0.55 (step @p21 :rule ho_cong :premises (@p11 @p20)) % 0.38/0.55 (step @p22 :rule trans :premises (@p21 @p16)) % 0.38/0.55 (step @p23 :rule refl :args (@t41)) % 0.38/0.55 (step @p24 :rule refl :args (@t14)) % 0.38/0.55 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t14 @t41))) % 0.38/0.55 (step @p26 :rule symm :premises (@p25)) % 0.38/0.55 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.38/0.55 (step @p28 :rule cong :premises (@p27) :args (@t42)) % 0.38/0.55 (step @p29 :rule refl :args (@t43)) % 0.38/0.55 (step @p30 :rule refl :args (@t16)) % 0.38/0.55 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t16 @t43))) % 0.38/0.55 (step @p32 :rule symm :premises (@p31)) % 0.38/0.55 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.38/0.55 (step @p34 :rule cong :premises (@p33) :args (@t44)) % 0.38/0.55 (step @p35 :rule nary_cong :premises (@p34 @p28 @p22) :args (@t45)) % 0.38/0.55 (step @p36 :rule cong :premises (@p35) :args ((forall @t17 @t45))) % 0.38/0.55 (step @p37 :rule aci_norm :args ((= (or @t44 (or @t42 @t12)) @t45))) % 0.38/0.55 (step @p38 :rule bool-impl-elim :args (@t14 @t12)) % 0.38/0.55 (step @p39 :rule refl :args (@t44)) % 0.38/0.55 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t44 @t15))) % 0.38/0.55 (step @p41 :rule trans :premises (@p40 @p37)) % 0.38/0.55 (step @p42 :rule bool-impl-elim :args (@t16 @t15)) % 0.38/0.55 (step @p43 :rule trans :premises (@p42 @p41)) % 0.38/0.55 (step @p44 :rule cong :premises (@p43) :args (@t18)) % 0.38/0.55 (step @p45 :rule trans :premises (@p44 @p36)) % 0.38/0.55 (step @p46 :rule refl :args (tptp.setunionI)) % 0.38/0.55 (step @p47 :rule cong :premises (@p46 @p45) :args (@t19)) % 0.38/0.55 (step @p48 :rule eq_resolve :premises (@p2 @p47)) % 0.38/0.55 (step @p49 :rule cong :premises (@p48 @p5) :args (@t46)) % 0.38/0.55 (step @p50 :rule refl :args ((tptp.in @t2 @t4))) % 0.38/0.55 (step @p51 :rule refl :args (@t47)) % 0.38/0.55 (step @p52 :rule cong :premises (@p8 @p51) :args (@t48)) % 0.38/0.55 (step @p53 :rule trans :premises (@p52 @p50)) % 0.38/0.55 (step @p54 :rule ho_cong :premises (@p11 @p51)) % 0.38/0.55 (step @p55 :rule cong :premises (@p54 @p53) :args ((= (_ @t5 @t47) @t48))) % 0.38/0.55 (step @p56 :rule symm :premises (@p55)) % 0.38/0.55 (step @p57 :rule refl :args (@t6)) % 0.38/0.55 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.38/0.55 (step @p59 :rule refl :args (@t4)) % 0.38/0.55 (step @p60 :rule cong :premises (@p59 @p51) :args ((= @t4 @t47))) % 0.38/0.55 (step @p61 :rule symm :premises (@p60)) % 0.38/0.55 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.38/0.55 (step @p63 :rule ho_cong :premises (@p11 @p62)) % 0.38/0.55 (step @p64 :rule trans :premises (@p63 @p58)) % 0.38/0.55 (step @p65 :rule cong :premises (@p64) :args (@t8)) % 0.38/0.55 (step @p66 :rule refl :args (tptp.setadjoinIL)) % 0.38/0.55 (step @p67 :rule cong :premises (@p66 @p65) :args (@t9)) % 0.38/0.55 (step @p68 :rule eq_resolve :premises (@p1 @p67)) % 0.38/0.55 (step @p69 :rule cong :premises (@p68 @p49) :args (@t49)) % 0.38/0.55 (step @p70 :rule cong :premises (@p69) :args ((not @t49))) % 0.38/0.55 (step @p71 :rule refl :args ((tptp.in @t2 @t25))) % 0.38/0.55 (step @p72 :rule refl :args ((tptp.setunion @t24))) % 0.38/0.55 (step @p73 :rule refl :args ((tptp.setadjoin @t23 @t22))) % 0.38/0.55 (step @p74 :rule refl :args ((tptp.setadjoin @t21 tptp.emptyset))) % 0.38/0.55 (step @p75 :rule refl :args (tptp.emptyset)) % 0.38/0.55 (step @p76 :rule refl :args ((tptp.setadjoin @t2 @t20))) % 0.38/0.55 (step @p77 :rule refl :args (@t31)) % 0.38/0.55 (step @p78 :rule cong :premises (@p8 @p77) :args (@t32)) % 0.38/0.55 (step @p79 :rule trans :premises (@p78 @p76)) % 0.38/0.55 (step @p80 :rule cong :premises (@p79 @p75) :args (@t33)) % 0.38/0.55 (step @p81 :rule trans :premises (@p80 @p74)) % 0.38/0.55 (step @p82 :rule refl :args (@t34)) % 0.38/0.55 (step @p83 :rule cong :premises (@p82 @p81) :args (@t35)) % 0.38/0.55 (step @p84 :rule trans :premises (@p83 @p73)) % 0.38/0.55 (step @p85 :rule cong :premises (@p84) :args (@t36)) % 0.38/0.55 (step @p86 :rule trans :premises (@p85 @p72)) % 0.38/0.55 (step @p87 :rule cong :premises (@p8 @p86) :args (@t37)) % 0.38/0.55 (step @p88 :rule trans :premises (@p87 @p71)) % 0.38/0.55 (step @p89 :rule ho_cong :premises (@p11 @p86)) % 0.38/0.55 (step @p90 :rule cong :premises (@p89 @p88) :args ((= (_ @t5 @t36) @t37))) % 0.38/0.55 (step @p91 :rule symm :premises (@p90)) % 0.38/0.55 (step @p92 :rule refl :args (@t26)) % 0.38/0.55 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 0.38/0.55 (step @p94 :rule refl :args (tptp.setunion)) % 0.38/0.55 (step @p95 :rule ho_cong :premises (@p94 @p84)) % 0.38/0.55 (step @p96 :rule cong :premises (@p95 @p86) :args ((= (_ tptp.setunion @t35) @t36))) % 0.38/0.55 (step @p97 :rule symm :premises (@p96)) % 0.38/0.55 (step @p98 :rule refl :args (@t25)) % 0.38/0.55 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.38/0.55 (step @p100 :rule refl :args (tptp.setadjoin)) % 0.38/0.55 (step @p101 :rule ho_cong :premises (@p100 @p82)) % 0.38/0.55 (step @p102 :rule ho_cong :premises (@p101 @p81)) % 0.38/0.55 (step @p103 :rule cong :premises (@p102 @p84) :args ((= (_ (_ tptp.setadjoin @t34) @t33) @t35))) % 0.38/0.55 (step @p104 :rule symm :premises (@p103)) % 0.38/0.55 (step @p105 :rule refl :args (@t24)) % 0.38/0.55 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.38/0.55 (step @p107 :rule ho_cong :premises (@p100 @p79)) % 0.38/0.56 (step @p108 :rule ho_cong :premises (@p107 @p75)) % 0.38/0.56 (step @p109 :rule cong :premises (@p108 @p81) :args ((= (_ (_ tptp.setadjoin @t32) tptp.emptyset) @t33))) % 0.38/0.56 (step @p110 :rule symm :premises (@p109)) % 0.38/0.56 (step @p111 :rule refl :args (@t22)) % 0.38/0.56 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.38/0.56 (step @p113 :rule refl :args (@t3)) % 0.38/0.56 (step @p114 :rule ho_cong :premises (@p113 @p77)) % 0.38/0.56 (step @p115 :rule cong :premises (@p114 @p79) :args ((= (_ @t3 @t31) @t32))) % 0.38/0.56 (step @p116 :rule symm :premises (@p115)) % 0.38/0.56 (step @p117 :rule refl :args (@t21)) % 0.38/0.56 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 0.38/0.56 (step @p119 :rule refl :args (@t20)) % 0.38/0.56 (step @p120 :rule cong :premises (@p119 @p77) :args ((= @t20 @t31))) % 0.38/0.56 (step @p121 :rule symm :premises (@p120)) % 0.38/0.56 (step @p122 :rule eq_resolve :premises (@p119 @p121)) % 0.38/0.56 (step @p123 :rule ho_cong :premises (@p113 @p122)) % 0.38/0.56 (step @p124 :rule trans :premises (@p123 @p118)) % 0.38/0.56 (step @p125 :rule ho_cong :premises (@p100 @p124)) % 0.38/0.56 (step @p126 :rule ho_cong :premises (@p125 @p75)) % 0.38/0.56 (step @p127 :rule trans :premises (@p126 @p112)) % 0.38/0.56 (step @p128 :rule refl :args (@t23)) % 0.38/0.56 (step @p129 :rule cong :premises (@p128 @p82) :args ((= @t23 @t34))) % 0.38/0.56 (step @p130 :rule symm :premises (@p129)) % 0.38/0.56 (step @p131 :rule eq_resolve :premises (@p128 @p130)) % 0.38/0.56 (step @p132 :rule ho_cong :premises (@p100 @p131)) % 0.38/0.56 (step @p133 :rule ho_cong :premises (@p132 @p127)) % 0.38/0.56 (step @p134 :rule trans :premises (@p133 @p106)) % 0.38/0.56 (step @p135 :rule ho_cong :premises (@p94 @p134)) % 0.38/0.56 (step @p136 :rule trans :premises (@p135 @p99)) % 0.38/0.56 (step @p137 :rule ho_cong :premises (@p11 @p136)) % 0.38/0.56 (step @p138 :rule trans :premises (@p137 @p93)) % 0.38/0.56 (step @p139 :rule cong :premises (@p138) :args (@t27)) % 0.38/0.56 (step @p140 :rule cong :premises (@p46 @p139) :args (@t28)) % 0.38/0.56 (step @p141 :rule cong :premises (@p66 @p140) :args (@t29)) % 0.38/0.56 (step @p142 :rule cong :premises (@p141) :args (@t30)) % 0.38/0.56 (step @p143 :rule trans :premises (@p142 @p70)) % 0.38/0.56 (step @p144 :rule eq_resolve :premises (@p3 @p143)) % 0.38/0.56 (step @p145 :rule not_implies_elim2 :premises (@p144)) % 0.38/0.56 (step @p146 :rule not_implies_elim1 :premises (@p145)) % 0.38/0.56 (step @p147 :rule not_implies_elim1 :premises (@p144)) % 0.38/0.56 (step @p148 :rule instantiate :premises (@p147) :args ((@list @t52 @t51))) % 0.38/0.56 (step @p149 :rule instantiate :premises (@p147) :args ((@list @t50 tptp.emptyset))) % 0.38/0.56 (step @p150 :rule not_implies_elim2 :premises (@p145)) % 0.38/0.56 (step @p151 :rule skolemize :premises (@p150)) % 0.38/0.56 (step @p152 :rule cnf_or_pos :args (@t59)) % 0.38/0.56 (step @p153 :rule reordering :premises (@p152) :args ((or @t54 @t58 @t56 @t60))) % 0.38/0.56 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p149 @p148) :args (@t60 (@list true false false) (@list @t54 @t57 @t55))) % 0.38/0.56 (assume-push @p161 @t61) % 0.38/0.56 (step @p156 :rule instantiate :premises (@p146) :args ((@list @t53 @t50 @t52))) % 0.38/0.56 (step-pop @p162 :rule scope :premises (@p156)) % 0.38/0.56 (step @p157 :rule process_scope :premises (@p162) :args (@t59)) % 0.38/0.56 (step @p159 :rule implies_elim :premises (@p157)) % 0.38/0.56 (step @p160 false :rule chain_m_resolution :premises (@p159 @p154 @p146) :args (false (@list true false) (@list @t59 @t61))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------