%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET787-1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:48:39 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SET787-1 : TPTP v9.2.1. Released v2.7.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n002.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:12:33 EDT 2026 % 0.18/0.36 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Unsatisfiable % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.sk2 $$unsorted) % 0.38/0.57 (declare-const tptp.a $$unsorted) % 0.38/0.57 (declare-const tptp.b $$unsorted) % 0.38/0.57 (declare-const tptp.converse_sk1 (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.unionE_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.subsetI_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.converseE_sk1 (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.un (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.eptset $$unsorted) % 0.38/0.57 (declare-const tptp.converseE_sk2 (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.converse_sk2 (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (define @t1 () (@var "V" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "U" $$unsorted)) % 0.38/0.57 (define @t3 () (tptp.unionE_sk1 @t2 @t1)) % 0.38/0.57 (define @t4 () (not (tptp.member @t2 (tptp.union @t1)))) % 0.38/0.57 (define @t5 () (@list @t2 @t1)) % 0.38/0.57 (define @t6 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t7 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t8 () (tptp.subset @t7 @t6)) % 0.38/0.57 (define @t9 () (tptp.subsetI_sk1 @t7 @t6)) % 0.38/0.57 (define @t10 () (@list @t7 @t6)) % 0.38/0.57 (define @t11 () (@var "W" $$unsorted)) % 0.38/0.57 (define @t12 () (@list @t2 @t1 @t11)) % 0.38/0.57 (define @t13 () (forall @t12 (or (not (tptp.member @t2 (tptp.cons @t1 @t11))) (= @t2 @t1) (tptp.member @t2 @t11)))) % 0.38/0.57 (define @t14 () (@var "C" $$unsorted)) % 0.38/0.57 (define @t15 () (tptp.member @t14 (tptp.un @t7 @t6))) % 0.38/0.57 (define @t16 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t17 () (@var "R" $$unsorted)) % 0.38/0.57 (define @t18 () (tptp.converse @t17)) % 0.38/0.57 (define @t19 () (@var "YX" $$unsorted)) % 0.38/0.57 (define @t20 () (not (tptp.member @t19 @t18))) % 0.38/0.57 (define @t21 () (@list @t19 @t17)) % 0.38/0.57 (define @t22 () (tptp.cons tptp.b tptp.eptset)) % 0.38/0.57 (define @t23 () (tptp.cons tptp.a @t22)) % 0.38/0.57 (define @t24 () (tptp.member tptp.sk2 (tptp.union @t23))) % 0.38/0.57 (define @t25 () (tptp.member tptp.sk2 (tptp.un tptp.a tptp.b))) % 0.38/0.57 (define @t26 () (@list tptp.sk2 @t23)) % 0.38/0.57 (define @t27 () (tptp.unionE_sk1 tptp.sk2 @t23)) % 0.38/0.57 (define @t28 () (tptp.member tptp.sk2 @t27)) % 0.38/0.57 (define @t29 () (not @t24)) % 0.38/0.57 (define @t30 () (or @t29 @t28)) % 0.38/0.57 (define @t31 () (@list false false)) % 0.38/0.57 (define @t32 () (tptp.member tptp.sk2 tptp.b)) % 0.38/0.57 (define @t33 () (not @t32)) % 0.38/0.57 (define @t34 () (or @t33 @t25)) % 0.38/0.57 (define @t35 () (@list true false)) % 0.38/0.57 (define @t36 () (tptp.member @t27 tptp.eptset)) % 0.38/0.57 (define @t37 () (tptp.member @t27 @t22)) % 0.38/0.57 (define @t38 () (not @t37)) % 0.38/0.57 (define @t39 () (or @t38 (= @t27 tptp.b) @t36)) % 0.38/0.57 (define @t40 () (= tptp.b @t27)) % 0.38/0.57 (define @t41 () (or @t38 @t40 @t36)) % 0.38/0.57 (define @t42 () (@list false)) % 0.38/0.57 (define @t43 () (@list @t13)) % 0.38/0.57 (define @t44 () (tptp.member @t27 @t23)) % 0.38/0.57 (define @t45 () (not @t44)) % 0.38/0.57 (define @t46 () (or @t45 (= @t27 tptp.a) @t37)) % 0.38/0.57 (define @t47 () (= tptp.a @t27)) % 0.38/0.57 (define @t48 () (or @t45 @t47 @t37)) % 0.38/0.57 (define @t49 () (tptp.member tptp.sk2 tptp.a)) % 0.38/0.57 (define @t50 () (not @t49)) % 0.38/0.57 (define @t51 () (or @t50 @t25)) % 0.38/0.57 (define @t52 () (not @t47)) % 0.38/0.57 (define @t53 () (not @t28)) % 0.38/0.57 (define @t54 () (= true false)) % 0.38/0.57 (define @t55 () (and @t50 @t47 @t28)) % 0.38/0.57 (define @t56 () (or @t29 @t44)) % 0.38/0.57 (define @t57 () (@list false true false)) % 0.38/0.57 (define @t58 () (not @t40)) % 0.38/0.57 (define @t59 () (and @t33 @t40 @t28)) % 0.38/0.57 (assume @p1 (forall @t5 (or @t4 (tptp.member @t2 @t3)))) % 0.38/0.57 (assume @p2 (forall @t5 (or @t4 (tptp.member @t3 @t1)))) % 0.38/0.57 (assume @p3 (forall @t10 (or (tptp.member @t9 @t7) @t8))) % 0.38/0.57 (assume @p4 (forall @t10 (or (not (tptp.member @t9 @t6)) @t8))) % 0.38/0.57 (assume @p5 @t13) % 0.38/0.57 (assume @p6 (forall (@list @t14 @t7 @t6) (or (not (tptp.member @t14 @t7)) @t15))) % 0.38/0.57 (assume @p7 (forall (@list @t14 @t6 @t7) (or (not (tptp.member @t14 @t6)) @t15))) % 0.38/0.57 (assume @p8 (forall (@list @t16) (not (tptp.member @t16 tptp.eptset)))) % 0.38/0.57 (assume @p9 (forall @t12 (or (not (tptp.member (tptp.pair @t2 @t1) @t11)) (tptp.member (tptp.pair @t1 @t2) (tptp.converse @t11))))) % 0.38/0.57 (assume @p10 (forall (@list @t7 @t6 @t17) (or (not (tptp.member (tptp.pair @t7 @t6) @t18)) (tptp.member (tptp.pair @t6 @t7) @t17)))) % 0.38/0.57 (assume @p11 (forall @t21 (or @t20 (= @t19 (tptp.pair (tptp.converseE_sk2 @t19) (tptp.converseE_sk1 @t19)))))) % 0.38/0.57 (assume @p12 (forall @t21 (or @t20 (tptp.member (tptp.pair (tptp.converse_sk1 @t19) (tptp.converse_sk2 @t19)) @t17)))) % 0.38/0.57 (assume @p13 @t24) % 0.38/0.57 (assume @p14 (not @t25)) % 0.38/0.57 (step @p15 :rule instantiate :premises (@p1) :args (@t26)) % 0.38/0.57 (step @p16 :rule cnf_or_pos :args (@t30)) % 0.38/0.57 (step @p17 :rule reordering :premises (@p16) :args ((or @t29 @t28 (not @t30)))) % 0.38/0.57 (step @p18 :rule chain_m_resolution :premises (@p17 @p13 @p15) :args (@t28 @t31 (@list @t24 @t30))) % 0.38/0.57 (step @p19 :rule instantiate :premises (@p7) :args ((@list tptp.sk2 tptp.b tptp.a))) % 0.38/0.57 (step @p20 :rule cnf_or_pos :args (@t34)) % 0.38/0.57 (step @p21 :rule reordering :premises (@p20) :args ((or @t25 @t33 (not @t34)))) % 0.38/0.57 (step @p22 :rule chain_m_resolution :premises (@p21 @p14 @p19) :args (@t33 @t35 (@list @t25 @t34))) % 0.38/0.57 (step @p23 :rule refl :args (@t36)) % 0.38/0.57 (step @p24 :rule eq-symm :args (@t27 tptp.b)) % 0.38/0.57 (step @p25 :rule refl :args (@t38)) % 0.38/0.57 (step @p26 :rule nary_cong :premises (@p25 @p24 @p23) :args (@t39)) % 0.38/0.57 (step @p27 :rule refl :args (@t13)) % 0.38/0.57 (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t13 @t39))) % 0.38/0.57 (assume-push @p126 @t13) % 0.38/0.57 (step @p30 :rule instantiate :premises (@p5) :args ((@list @t27 tptp.b tptp.eptset))) % 0.38/0.57 (step-pop @p127 :rule scope :premises (@p30)) % 0.38/0.57 (step @p31 :rule process_scope :premises (@p127) :args (@t39)) % 0.38/0.57 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 0.38/0.57 (step @p34 :rule implies_elim :premises (@p33)) % 0.38/0.57 (step @p35 :rule chain_m_resolution :premises (@p34 @p5) :args (@t41 @t42 @t43)) % 0.38/0.57 (step @p36 :rule instantiate :premises (@p8) :args ((@list @t27))) % 0.38/0.57 (step @p37 :rule refl :args (@t37)) % 0.38/0.57 (step @p38 :rule eq-symm :args (@t27 tptp.a)) % 0.38/0.57 (step @p39 :rule refl :args (@t45)) % 0.38/0.57 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37) :args (@t46)) % 0.38/0.57 (step @p41 :rule cong :premises (@p27 @p40) :args ((=> @t13 @t46))) % 0.38/0.57 (assume-push @p128 @t13) % 0.38/0.57 (step @p43 :rule instantiate :premises (@p5) :args ((@list @t27 tptp.a @t22))) % 0.38/0.57 (step-pop @p129 :rule scope :premises (@p43)) % 0.38/0.57 (step @p44 :rule process_scope :premises (@p129) :args (@t46)) % 0.38/0.57 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 0.38/0.57 (step @p47 :rule implies_elim :premises (@p46)) % 0.38/0.57 (step @p48 :rule chain_m_resolution :premises (@p47 @p5) :args (@t48 @t42 @t43)) % 0.38/0.57 (step @p49 :rule instantiate :premises (@p6) :args ((@list tptp.sk2 tptp.a tptp.b))) % 0.38/0.57 (step @p50 :rule cnf_or_pos :args (@t51)) % 0.38/0.57 (step @p51 :rule reordering :premises (@p50) :args ((or @t25 @t50 (not @t51)))) % 0.38/0.57 (step @p52 :rule chain_m_resolution :premises (@p51 @p14 @p49) :args (@t50 @t35 (@list @t25 @t51))) % 0.38/0.57 (step @p53 :rule refl :args (@t52)) % 0.38/0.57 (step @p54 :rule bool-double-not-elim :args (@t49)) % 0.38/0.57 (step @p55 :rule refl :args (@t53)) % 0.38/0.57 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53) :args ((or @t53 (not @t50) @t52))) % 0.38/0.57 (assume-push @p130 @t50) % 0.38/0.57 (assume-push @p131 @t47) % 0.38/0.57 (assume-push @p132 @t28) % 0.38/0.57 (step @p60 :rule evaluate :args (@t54)) % 0.38/0.57 (step @p61 :rule false_intro :premises (@p52)) % 0.38/0.57 (step @p62 :rule symm :premises (@p131)) % 0.38/0.57 (step @p63 :rule refl :args (tptp.sk2)) % 0.38/0.57 (step @p64 :rule cong :premises (@p63 @p62) :args (@t28)) % 0.38/0.57 (step @p65 :rule true_intro :premises (@p18)) % 0.38/0.57 (step @p66 :rule symm :premises (@p65)) % 0.38/0.57 (step @p67 :rule trans :premises (@p66 @p64 @p61)) % 0.38/0.57 (step @p68 false :rule eq_resolve :premises (@p67 @p60)) % 0.38/0.57 (step-pop @p133 :rule scope :premises (@p68)) % 0.38/0.57 (step-pop @p134 :rule scope :premises (@p133)) % 0.38/0.57 (step-pop @p135 :rule scope :premises (@p134)) % 0.38/0.57 (step @p69 :rule process_scope :premises (@p135) :args (false)) % 0.38/0.57 (assume-push @p136 @t28) % 0.38/0.57 (assume-push @p137 @t50) % 0.38/0.57 (assume-push @p138 @t47) % 0.38/0.57 (step @p76 :rule and_intro :premises (@p52 @p138 @p18)) % 0.38/0.57 (step-pop @p139 :rule scope :premises (@p76)) % 0.38/0.57 (step-pop @p140 :rule scope :premises (@p139)) % 0.38/0.57 (step-pop @p141 :rule scope :premises (@p140)) % 0.38/0.57 (step @p77 :rule process_scope :premises (@p141) :args (@t55)) % 0.38/0.57 (step @p81 :rule implies_elim :premises (@p77)) % 0.38/0.57 (step @p82 :rule resolution :premises (@p81 @p69) :args (true @t55)) % 0.38/0.57 (step @p83 :rule not_and :premises (@p82)) % 0.38/0.57 (step @p84 :rule eq_resolve :premises (@p83 @p56)) % 0.38/0.57 (step @p85 :rule reordering :premises (@p84) :args ((or @t49 @t53 @t52))) % 0.38/0.57 (step @p86 :rule chain_m_resolution :premises (@p85 @p52 @p18) :args (@t52 @t35 (@list @t49 @t28))) % 0.38/0.57 (step @p87 :rule instantiate :premises (@p2) :args (@t26)) % 0.38/0.57 (step @p88 :rule cnf_or_pos :args (@t56)) % 0.38/0.57 (step @p89 :rule reordering :premises (@p88) :args ((or @t29 @t44 (not @t56)))) % 0.38/0.57 (step @p90 :rule chain_m_resolution :premises (@p89 @p13 @p87) :args (@t44 @t31 (@list @t24 @t56))) % 0.38/0.57 (step @p91 :rule cnf_or_pos :args (@t48)) % 0.38/0.57 (step @p92 :rule reordering :premises (@p91) :args ((or @t45 @t37 @t47 (not @t48)))) % 0.38/0.57 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p86 @p48) :args (@t37 @t57 (@list @t44 @t47 @t48))) % 0.38/0.57 (step @p94 :rule cnf_or_pos :args (@t41)) % 0.38/0.57 (step @p95 :rule reordering :premises (@p94) :args ((or @t38 @t36 @t40 (not @t41)))) % 0.38/0.57 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p36 @p35) :args (@t40 @t57 (@list @t37 @t36 @t41))) % 0.38/0.57 (step @p97 :rule refl :args (@t58)) % 0.38/0.57 (step @p98 :rule bool-double-not-elim :args (@t32)) % 0.38/0.57 (step @p99 :rule nary_cong :premises (@p55 @p98 @p97) :args ((or @t53 (not @t33) @t58))) % 0.38/0.57 (assume-push @p142 @t33) % 0.38/0.57 (assume-push @p143 @t40) % 0.38/0.57 (assume-push @p144 @t28) % 0.38/0.57 (step @p60 :rule evaluate :args (@t54)) % 0.38/0.57 (step @p103 :rule false_intro :premises (@p22)) % 0.38/0.57 (step @p104 :rule symm :premises (@p143)) % 0.38/0.57 (step @p63 :rule refl :args (tptp.sk2)) % 0.38/0.57 (step @p105 :rule cong :premises (@p63 @p104) :args (@t28)) % 0.38/0.57 (step @p65 :rule true_intro :premises (@p18)) % 0.38/0.57 (step @p66 :rule symm :premises (@p65)) % 0.38/0.57 (step @p106 :rule trans :premises (@p66 @p105 @p103)) % 0.38/0.57 (step @p107 false :rule eq_resolve :premises (@p106 @p60)) % 0.38/0.57 (step-pop @p145 :rule scope :premises (@p107)) % 0.38/0.57 (step-pop @p146 :rule scope :premises (@p145)) % 0.38/0.57 (step-pop @p147 :rule scope :premises (@p146)) % 0.38/0.57 (step @p108 :rule process_scope :premises (@p147) :args (false)) % 0.38/0.57 (assume-push @p148 @t28) % 0.38/0.57 (assume-push @p149 @t33) % 0.38/0.57 (assume-push @p150 @t40) % 0.38/0.57 (step @p115 :rule and_intro :premises (@p22 @p150 @p18)) % 0.38/0.57 (step-pop @p151 :rule scope :premises (@p115)) % 0.38/0.57 (step-pop @p152 :rule scope :premises (@p151)) % 0.38/0.57 (step-pop @p153 :rule scope :premises (@p152)) % 0.38/0.57 (step @p116 :rule process_scope :premises (@p153) :args (@t59)) % 0.38/0.57 (step @p120 :rule implies_elim :premises (@p116)) % 0.38/0.57 (step @p121 :rule resolution :premises (@p120 @p108) :args (true @t59)) % 0.38/0.57 (step @p122 :rule not_and :premises (@p121)) % 0.38/0.57 (step @p123 :rule eq_resolve :premises (@p122 @p99)) % 0.38/0.57 (step @p124 :rule reordering :premises (@p123) :args ((or @t32 @t53 @t58))) % 0.38/0.57 (step @p125 false :rule chain_m_resolution :premises (@p124 @p96 @p22 @p18) :args (false @t57 (@list @t40 @t32 @t28))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------