%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET825-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:48:44 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.58s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET825-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n023.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 16:14:58 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.58 % SZS status Unsatisfiable % 0.36/0.58 % SZS output start Proof % 0.36/0.58 ( % 0.36/0.58 (declare-sort $$unsorted 0) % 0.36/0.58 (declare-const tptp.v_x (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.tc_nat $$unsorted) % 0.36/0.58 (declare-const tptp.v_m $$unsorted) % 0.36/0.58 (declare-const tptp.v_Q (-> $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.v_xa (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.c_0 $$unsorted) % 0.36/0.58 (declare-const tptp.c_Relation_OId $$unsorted) % 0.36/0.58 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.v_n $$unsorted) % 0.36/0.58 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (define @t1 () (@var "T_a" $$unsorted)) % 0.36/0.58 (define @t2 () (tptp.tc_prod @t1 @t1)) % 0.36/0.58 (define @t3 () (@var "V_a" $$unsorted)) % 0.36/0.58 (define @t4 () (forall (@list @t3 @t1) (tptp.c_in (tptp.c_Pair @t3 @t3 @t1 @t1) tptp.c_Relation_OId @t2))) % 0.36/0.58 (define @t5 () (@var "V_b" $$unsorted)) % 0.36/0.58 (define @t6 () (tptp.v_Q tptp.v_n)) % 0.36/0.58 (define @t7 () (tptp.v_Q tptp.v_m)) % 0.36/0.58 (define @t8 () (not @t7)) % 0.36/0.58 (define @t9 () (tptp.tc_prod tptp.tc_nat tptp.tc_nat)) % 0.36/0.58 (define @t10 () (@var "V_U" $$unsorted)) % 0.36/0.58 (define @t11 () (tptp.c_Pair tptp.c_0 tptp.c_0 tptp.tc_nat tptp.tc_nat)) % 0.36/0.58 (define @t12 () (not (tptp.c_in @t11 @t10 @t9))) % 0.36/0.58 (define @t13 () (tptp.v_xa @t10)) % 0.36/0.58 (define @t14 () (tptp.v_x @t10)) % 0.36/0.58 (define @t15 () (tptp.c_Pair tptp.v_n tptp.v_m tptp.tc_nat tptp.tc_nat)) % 0.36/0.58 (define @t16 () (tptp.c_in @t15 @t10 @t9)) % 0.36/0.58 (define @t17 () (@list @t10)) % 0.36/0.58 (define @t18 () (tptp.v_xa tptp.c_Relation_OId)) % 0.36/0.58 (define @t19 () (tptp.v_x tptp.c_Relation_OId)) % 0.36/0.58 (define @t20 () (@list tptp.c_Relation_OId)) % 0.36/0.58 (define @t21 () (= tptp.v_n tptp.v_m)) % 0.36/0.58 (define @t22 () (not @t21)) % 0.36/0.58 (define @t23 () (not @t6)) % 0.36/0.58 (define @t24 () (and @t6 @t21 @t8)) % 0.36/0.58 (define @t25 () (@list true false)) % 0.36/0.58 (define @t26 () (tptp.c_in @t15 tptp.c_Relation_OId @t9)) % 0.36/0.58 (define @t27 () (not @t26)) % 0.36/0.58 (define @t28 () (or @t27 @t21)) % 0.36/0.58 (define @t29 () (tptp.c_in @t11 tptp.c_Relation_OId @t9)) % 0.36/0.58 (define @t30 () (not @t29)) % 0.36/0.58 (define @t31 () (tptp.c_in (tptp.c_Pair @t19 @t18 tptp.tc_nat tptp.tc_nat) tptp.c_Relation_OId @t9)) % 0.36/0.58 (define @t32 () (or @t26 @t31 @t30)) % 0.36/0.58 (define @t33 () (@list true false false)) % 0.36/0.58 (define @t34 () (= @t19 @t18)) % 0.36/0.58 (define @t35 () (not @t31)) % 0.36/0.58 (define @t36 () (or @t35 @t34)) % 0.36/0.58 (define @t37 () (tptp.c_Suc @t18)) % 0.36/0.58 (define @t38 () (tptp.c_in (tptp.c_Pair (tptp.c_Suc @t19) @t37 tptp.tc_nat tptp.tc_nat) tptp.c_Relation_OId @t9)) % 0.36/0.58 (define @t39 () (not @t38)) % 0.36/0.58 (define @t40 () (or @t26 @t39 @t30)) % 0.36/0.58 (define @t41 () (tptp.c_Pair @t37 @t37 tptp.tc_nat tptp.tc_nat)) % 0.36/0.58 (define @t42 () (tptp.c_in @t41 tptp.c_Relation_OId @t9)) % 0.36/0.58 (define @t43 () (not @t42)) % 0.36/0.58 (define @t44 () (not @t34)) % 0.36/0.58 (define @t45 () (and @t39 @t34)) % 0.36/0.58 (assume @p1 @t4) % 0.36/0.58 (assume @p2 (forall (@list @t3 @t5 @t1) (or (not (tptp.c_in (tptp.c_Pair @t3 @t5 @t1 @t1) tptp.c_Relation_OId @t2)) (= @t3 @t5)))) % 0.36/0.58 (assume @p3 @t6) % 0.36/0.58 (assume @p4 @t8) % 0.36/0.58 (assume @p5 (forall @t17 (or @t16 (tptp.c_in (tptp.c_Pair @t14 @t13 tptp.tc_nat tptp.tc_nat) @t10 @t9) @t12))) % 0.36/0.58 (assume @p6 (forall @t17 (or @t16 (not (tptp.c_in (tptp.c_Pair (tptp.c_Suc @t14) (tptp.c_Suc @t13) tptp.tc_nat tptp.tc_nat) @t10 @t9)) @t12))) % 0.36/0.58 (step @p7 :rule instantiate :premises (@p2) :args ((@list @t19 @t18 tptp.tc_nat))) % 0.36/0.58 (step @p8 :rule instantiate :premises (@p5) :args (@t20)) % 0.36/0.58 (step @p9 :rule instantiate :premises (@p1) :args ((@list tptp.c_0 tptp.tc_nat))) % 0.36/0.58 (step @p10 :rule instantiate :premises (@p2) :args ((@list tptp.v_n tptp.v_m tptp.tc_nat))) % 0.36/0.58 (step @p11 :rule refl :args (@t22)) % 0.36/0.58 (step @p12 :rule bool-double-not-elim :args (@t7)) % 0.36/0.58 (step @p13 :rule refl :args (@t23)) % 0.36/0.58 (step @p14 :rule nary_cong :premises (@p13 @p12 @p11) :args ((or @t23 (not @t8) @t22))) % 0.36/0.58 (assume-push @p95 @t6) % 0.36/0.58 (assume-push @p96 @t21) % 0.36/0.58 (assume-push @p97 @t8) % 0.36/0.58 (step @p18 :rule evaluate :args ((= false true))) % 0.36/0.58 (step @p19 :rule true_intro :premises (@p3)) % 0.36/0.58 (step @p20 :rule symm :premises (@p96)) % 0.36/0.58 (step @p21 :rule cong :premises (@p20) :args (@t7)) % 0.36/0.58 (step @p22 :rule false_intro :premises (@p4)) % 0.36/0.58 (step @p23 :rule symm :premises (@p22)) % 0.36/0.58 (step @p24 :rule trans :premises (@p23 @p21 @p19)) % 0.36/0.58 (step @p25 false :rule eq_resolve :premises (@p24 @p18)) % 0.36/0.58 (step-pop @p98 :rule scope :premises (@p25)) % 0.36/0.58 (step-pop @p99 :rule scope :premises (@p98)) % 0.36/0.58 (step-pop @p100 :rule scope :premises (@p99)) % 0.36/0.58 (step @p26 :rule process_scope :premises (@p100) :args (false)) % 0.36/0.58 (assume-push @p101 @t6) % 0.36/0.58 (assume-push @p102 @t8) % 0.36/0.58 (assume-push @p103 @t21) % 0.36/0.58 (step @p33 :rule and_intro :premises (@p3 @p103 @p4)) % 0.36/0.58 (step-pop @p104 :rule scope :premises (@p33)) % 0.36/0.58 (step-pop @p105 :rule scope :premises (@p104)) % 0.36/0.58 (step-pop @p106 :rule scope :premises (@p105)) % 0.36/0.58 (step @p34 :rule process_scope :premises (@p106) :args (@t24)) % 0.36/0.58 (step @p38 :rule implies_elim :premises (@p34)) % 0.36/0.58 (step @p39 :rule resolution :premises (@p38 @p26) :args (true @t24)) % 0.36/0.58 (step @p40 :rule not_and :premises (@p39)) % 0.36/0.58 (step @p41 :rule eq_resolve :premises (@p40 @p14)) % 0.36/0.58 (step @p42 :rule reordering :premises (@p41) :args ((or @t7 @t23 @t22))) % 0.36/0.58 (step @p43 :rule chain_m_resolution :premises (@p42 @p4 @p3) :args (@t22 @t25 (@list @t7 @t6))) % 0.36/0.58 (step @p44 :rule cnf_or_pos :args (@t28)) % 0.36/0.58 (step @p45 :rule reordering :premises (@p44) :args ((or @t27 @t21 (not @t28)))) % 0.36/0.58 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p10) :args (@t27 @t25 (@list @t21 @t28))) % 0.36/0.58 (step @p47 :rule cnf_or_pos :args (@t32)) % 0.36/0.58 (step @p48 :rule reordering :premises (@p47) :args ((or @t26 @t30 @t31 (not @t32)))) % 0.36/0.58 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p9 @p8) :args (@t31 @t33 (@list @t26 @t29 @t32))) % 0.36/0.58 (step @p50 :rule cnf_or_pos :args (@t36)) % 0.36/0.58 (step @p51 :rule reordering :premises (@p50) :args ((or @t35 @t34 (not @t36)))) % 0.36/0.58 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p7) :args (@t34 (@list false false) (@list @t31 @t36))) % 0.36/0.58 (step @p53 :rule instantiate :premises (@p6) :args (@t20)) % 0.36/0.58 (step @p54 :rule cnf_or_pos :args (@t40)) % 0.36/0.58 (step @p55 :rule reordering :premises (@p54) :args ((or @t26 @t30 @t39 (not @t40)))) % 0.36/0.58 (step @p56 :rule chain_m_resolution :premises (@p55 @p46 @p9 @p53) :args (@t39 @t33 (@list @t26 @t29 @t40))) % 0.36/0.58 (step @p57 :rule refl :args (@t43)) % 0.36/0.58 (step @p58 :rule refl :args (@t44)) % 0.36/0.58 (step @p59 :rule bool-double-not-elim :args (@t38)) % 0.36/0.58 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57) :args ((or (not @t39) @t44 @t43))) % 0.36/0.58 (assume-push @p107 @t39) % 0.36/0.58 (assume-push @p108 @t34) % 0.36/0.58 (assume-push @p109 @t39) % 0.36/0.58 (assume-push @p110 @t34) % 0.36/0.58 (step @p65 :rule false_intro :premises (@p107)) % 0.36/0.58 (step @p66 :rule refl :args (@t9)) % 0.36/0.58 (step @p67 :rule refl :args (tptp.c_Relation_OId)) % 0.36/0.58 (step @p68 :rule refl :args (tptp.tc_nat)) % 0.36/0.58 (step @p69 :rule refl :args (@t37)) % 0.36/0.58 (step @p70 :rule symm :premises (@p108)) % 0.36/0.58 (step @p71 :rule cong :premises (@p70) :args (@t37)) % 0.36/0.58 (step @p72 :rule cong :premises (@p71 @p69 @p68 @p68) :args (@t41)) % 0.36/0.58 (step @p73 :rule cong :premises (@p72 @p67 @p66) :args (@t42)) % 0.36/0.58 (step @p74 :rule trans :premises (@p73 @p65)) % 0.36/0.58 (step @p75 :rule false_elim :premises (@p74)) % 0.36/0.58 (step-pop @p111 :rule scope :premises (@p75)) % 0.36/0.58 (step-pop @p112 :rule scope :premises (@p111)) % 0.36/0.58 (step @p76 :rule process_scope :premises (@p112) :args (@t43)) % 0.36/0.58 (step @p79 :rule and_intro :premises (@p107 @p108)) % 0.36/0.58 (step @p80 :rule modus_ponens :premises (@p79 @p76)) % 0.36/0.58 (step-pop @p113 :rule scope :premises (@p80)) % 0.36/0.58 (step-pop @p114 :rule scope :premises (@p113)) % 0.36/0.58 (step @p81 :rule process_scope :premises (@p114) :args (@t43)) % 0.36/0.58 (step @p84 :rule implies_elim :premises (@p81)) % 0.36/0.58 (step @p85 :rule cnf_and_neg :args (@t45)) % 0.36/0.58 (step @p86 :rule resolution :premises (@p85 @p84) :args (true @t45)) % 0.36/0.58 (step @p87 :rule eq_resolve :premises (@p86 @p60)) % 0.36/0.58 (step @p88 :rule chain_m_resolution :premises (@p87 @p56 @p52) :args (@t43 @t25 (@list @t38 @t34))) % 0.36/0.58 (assume-push @p115 @t4) % 0.36/0.58 (step @p90 :rule instantiate :premises (@p1) :args ((@list @t37 tptp.tc_nat))) % 0.36/0.58 (step-pop @p116 :rule scope :premises (@p90)) % 0.36/0.58 (step @p91 :rule process_scope :premises (@p116) :args (@t42)) % 0.36/0.58 (step @p93 :rule implies_elim :premises (@p91)) % 0.36/0.58 (step @p94 false :rule chain_m_resolution :premises (@p93 @p88 @p1) :args (false @t25 (@list @t42 @t4))) % 0.36/0.58 ) % 0.36/0.59 % SZS output end Proof % 0.36/0.59 % cvc5 exiting %------------------------------------------------------------------------------