%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT001_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:14:19 AM UTC 2026 % Result : Theorem 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT001_1 : TPTP v9.2.1. Released v5.0.0. % 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 : n015.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 : Mon Jun 1 22:25:04 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_ARI % 0.39/0.60 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.39/0.60 % SZS status Theorem % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort tptp.list 0) % 0.39/0.60 (declare-const tptp.mycons (-> Int tptp.list tptp.list)) % 0.39/0.60 (declare-const tptp.sorted (-> tptp.list Bool)) % 0.39/0.60 (declare-const tptp.nil tptp.list) % 0.39/0.60 (define @t1 () (@var "X" Int)) % 0.39/0.60 (define @t2 () (@var "R" tptp.list)) % 0.39/0.60 (define @t3 () (@var "Y" Int)) % 0.39/0.60 (define @t4 () (tptp.mycons @t3 @t2)) % 0.39/0.60 (define @t5 () (tptp.sorted (tptp.mycons @t1 @t4))) % 0.39/0.60 (define @t6 () (tptp.sorted @t4)) % 0.39/0.60 (define @t7 () (and (< @t1 @t3) @t6)) % 0.39/0.60 (define @t8 () (=> @t7 @t5)) % 0.39/0.60 (define @t9 () (@list @t1 @t3 @t2)) % 0.39/0.60 (define @t10 () (forall @t9 @t8)) % 0.39/0.60 (define @t11 () (tptp.mycons 100 tptp.nil)) % 0.39/0.60 (define @t12 () (tptp.mycons 7 @t11)) % 0.39/0.60 (define @t13 () (tptp.mycons 4 @t12)) % 0.39/0.60 (define @t14 () (tptp.mycons 2 @t13)) % 0.39/0.60 (define @t15 () (tptp.sorted (tptp.mycons 1 @t14))) % 0.39/0.60 (define @t16 () (not @t6)) % 0.39/0.60 (define @t17 () (+ @t1 (* -1 @t3))) % 0.39/0.60 (define @t18 () (>= @t17 0)) % 0.39/0.60 (define @t19 () (or @t18 @t16 @t5)) % 0.39/0.60 (define @t20 () (not @t18)) % 0.39/0.60 (define @t21 () (and @t20 @t6)) % 0.39/0.60 (define @t22 () (>= @t1 @t3)) % 0.39/0.60 (define @t23 () (tptp.sorted @t14)) % 0.39/0.60 (define @t24 () (tptp.sorted @t13)) % 0.39/0.60 (define @t25 () (not @t24)) % 0.39/0.60 (define @t26 () (or @t25 @t23)) % 0.39/0.60 (define @t27 () (* -1 4)) % 0.39/0.60 (define @t28 () (+ 2 @t27)) % 0.39/0.60 (define @t29 () (>= @t28 0)) % 0.39/0.60 (define @t30 () (or @t29 @t25 @t23)) % 0.39/0.60 (define @t31 () (forall @t9 @t19)) % 0.39/0.60 (define @t32 () (@list false)) % 0.39/0.60 (define @t33 () (@list @t31)) % 0.39/0.60 (define @t34 () (not @t23)) % 0.39/0.60 (define @t35 () (or @t34 @t15)) % 0.39/0.60 (define @t36 () (* -1 2)) % 0.39/0.60 (define @t37 () (+ 1 @t36)) % 0.39/0.60 (define @t38 () (>= @t37 0)) % 0.39/0.60 (define @t39 () (or @t38 @t34 @t15)) % 0.39/0.60 (define @t40 () (tptp.sorted @t12)) % 0.39/0.60 (define @t41 () (not @t40)) % 0.39/0.60 (define @t42 () (or @t41 @t24)) % 0.39/0.60 (define @t43 () (* -1 7)) % 0.39/0.60 (define @t44 () (+ 4 @t43)) % 0.39/0.60 (define @t45 () (>= @t44 0)) % 0.39/0.60 (define @t46 () (or @t45 @t41 @t24)) % 0.39/0.60 (define @t47 () (tptp.sorted @t11)) % 0.39/0.60 (define @t48 () (not @t47)) % 0.39/0.60 (define @t49 () (or @t48 @t40)) % 0.39/0.60 (define @t50 () (* -1 100)) % 0.39/0.60 (define @t51 () (+ 7 @t50)) % 0.39/0.60 (define @t52 () (>= @t51 0)) % 0.39/0.60 (define @t53 () (or @t52 @t48 @t40)) % 0.39/0.60 (define @t54 () (@list false false)) % 0.39/0.60 (assume @p1 (tptp.sorted tptp.nil)) % 0.39/0.60 (assume @p2 (forall (@list @t1) (tptp.sorted (tptp.mycons @t1 tptp.nil)))) % 0.39/0.60 (assume @p3 @t10) % 0.39/0.60 (assume @p4 (not @t15)) % 0.39/0.60 (assume @p5 true) % 0.39/0.60 (step @p6 :rule aci_norm :args ((= (or (or @t18 @t16) @t5) @t19))) % 0.39/0.60 (step @p7 :rule refl :args (@t5)) % 0.39/0.60 (step @p8 :rule refl :args (@t16)) % 0.39/0.60 (step @p9 :rule bool-double-not-elim :args (@t18)) % 0.39/0.60 (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((or (not @t20) @t16))) % 0.39/0.60 (step @p11 :rule bool-and-de-morgan :args (@t20 @t6 true)) % 0.39/0.60 (step @p12 :rule trans :premises (@p11 @p10)) % 0.39/0.60 (step @p13 :rule nary_cong :premises (@p12 @p7) :args ((or (not @t21) @t5))) % 0.39/0.60 (step @p14 :rule trans :premises (@p13 @p6)) % 0.39/0.60 (step @p15 :rule bool-impl-elim :args (@t21 @t5)) % 0.39/0.60 (step @p16 :rule trans :premises (@p15 @p14)) % 0.39/0.60 (step @p17 :rule cong :premises (@p16) :args ((forall @t9 (=> @t21 @t5)))) % 0.39/0.60 (step @p18 :rule refl :args (@t5)) % 0.39/0.60 (step @p19 :rule refl :args (@t6)) % 0.39/0.60 (step @p20 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t3)) (* 1 (- @t17 0))))) % 0.39/0.60 (step @p21 :rule arith_poly_norm_rel :premises (@p20) :args ((= @t22 @t18))) % 0.39/0.60 (step @p22 :rule cong :premises (@p21) :args ((not @t22))) % 0.39/0.60 (step @p23 :rule arith-elim-lt :args (@t1 @t3)) % 0.39/0.60 (step @p24 :rule trans :premises (@p23 @p22)) % 0.39/0.60 (step @p25 :rule nary_cong :premises (@p24 @p19) :args (@t7)) % 0.39/0.60 (step @p26 :rule cong :premises (@p25 @p18) :args (@t8)) % 0.39/0.60 (step @p27 :rule cong :premises (@p26) :args (@t10)) % 0.39/0.60 (step @p28 :rule trans :premises (@p27 @p17)) % 0.39/0.60 (step @p29 :rule eq_resolve :premises (@p3 @p28)) % 0.39/0.60 (step @p30 :rule aci_norm :args ((= (or false @t25 @t23) @t26))) % 0.39/0.60 (step @p31 :rule refl :args (@t23)) % 0.39/0.60 (step @p32 :rule refl :args (@t25)) % 0.39/0.60 (step @p33 :rule evaluate :args ((>= -2 0))) % 0.39/0.60 (step @p34 :rule refl :args (0)) % 0.39/0.60 (step @p35 :rule evaluate :args ((+ 2 -4))) % 0.39/0.60 (step @p36 :rule evaluate :args (@t27)) % 0.39/0.60 (step @p37 :rule refl :args (2)) % 0.39/0.60 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t28)) % 0.39/0.60 (step @p39 :rule trans :premises (@p38 @p35)) % 0.39/0.60 (step @p40 :rule cong :premises (@p39 @p34) :args (@t29)) % 0.39/0.60 (step @p41 :rule trans :premises (@p40 @p33)) % 0.39/0.60 (step @p42 :rule nary_cong :premises (@p41 @p32 @p31) :args (@t30)) % 0.39/0.60 (step @p43 :rule trans :premises (@p42 @p30)) % 0.39/0.60 (step @p44 :rule refl :args (@t31)) % 0.39/0.60 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t31 @t30))) % 0.39/0.60 (assume-push @p129 @t31) % 0.39/0.60 (step @p47 :rule instantiate :premises (@p29) :args ((@list 2 4 @t12))) % 0.39/0.60 (step-pop @p130 :rule scope :premises (@p47)) % 0.39/0.60 (step @p48 :rule process_scope :premises (@p130) :args (@t30)) % 0.39/0.60 (step @p50 :rule eq_resolve :premises (@p48 @p45)) % 0.39/0.60 (step @p51 :rule implies_elim :premises (@p50)) % 0.39/0.60 (step @p52 :rule chain_m_resolution :premises (@p51 @p29) :args (@t26 @t32 @t33)) % 0.39/0.60 (step @p53 :rule aci_norm :args ((= (or false @t34 @t15) @t35))) % 0.39/0.60 (step @p54 :rule refl :args (@t15)) % 0.39/0.60 (step @p55 :rule refl :args (@t34)) % 0.39/0.60 (step @p56 :rule evaluate :args ((>= -1 0))) % 0.39/0.60 (step @p57 :rule evaluate :args ((+ 1 -2))) % 0.39/0.60 (step @p58 :rule evaluate :args (@t36)) % 0.39/0.60 (step @p59 :rule refl :args (1)) % 0.39/0.60 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t37)) % 0.39/0.60 (step @p61 :rule trans :premises (@p60 @p57)) % 0.39/0.60 (step @p62 :rule cong :premises (@p61 @p34) :args (@t38)) % 0.39/0.60 (step @p63 :rule trans :premises (@p62 @p56)) % 0.39/0.60 (step @p64 :rule nary_cong :premises (@p63 @p55 @p54) :args (@t39)) % 0.39/0.60 (step @p65 :rule trans :premises (@p64 @p53)) % 0.39/0.60 (step @p66 :rule cong :premises (@p44 @p65) :args ((=> @t31 @t39))) % 0.39/0.60 (assume-push @p131 @t31) % 0.39/0.60 (step @p68 :rule instantiate :premises (@p29) :args ((@list 1 2 @t13))) % 0.39/0.60 (step-pop @p132 :rule scope :premises (@p68)) % 0.39/0.60 (step @p69 :rule process_scope :premises (@p132) :args (@t39)) % 0.39/0.60 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 0.39/0.60 (step @p72 :rule implies_elim :premises (@p71)) % 0.39/0.60 (step @p73 :rule chain_m_resolution :premises (@p72 @p29) :args (@t35 @t32 @t33)) % 0.39/0.60 (step @p74 :rule cnf_or_pos :args (@t35)) % 0.39/0.60 (step @p75 :rule reordering :premises (@p74) :args ((or @t15 @t34 (not @t35)))) % 0.39/0.60 (step @p76 :rule chain_m_resolution :premises (@p75 @p4 @p73) :args (@t34 (@list true false) (@list @t15 @t35))) % 0.39/0.60 (step @p77 :rule aci_norm :args ((= (or false @t41 @t24) @t42))) % 0.39/0.60 (step @p78 :rule refl :args (@t24)) % 0.39/0.60 (step @p79 :rule refl :args (@t41)) % 0.39/0.60 (step @p80 :rule evaluate :args ((>= -3 0))) % 0.39/0.60 (step @p81 :rule evaluate :args ((+ 4 -7))) % 0.39/0.60 (step @p82 :rule evaluate :args (@t43)) % 0.39/0.60 (step @p83 :rule refl :args (4)) % 0.39/0.60 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t44)) % 0.39/0.60 (step @p85 :rule trans :premises (@p84 @p81)) % 0.39/0.60 (step @p86 :rule cong :premises (@p85 @p34) :args (@t45)) % 0.39/0.60 (step @p87 :rule trans :premises (@p86 @p80)) % 0.39/0.60 (step @p88 :rule nary_cong :premises (@p87 @p79 @p78) :args (@t46)) % 0.39/0.60 (step @p89 :rule trans :premises (@p88 @p77)) % 0.39/0.60 (step @p90 :rule cong :premises (@p44 @p89) :args ((=> @t31 @t46))) % 0.39/0.60 (assume-push @p133 @t31) % 0.39/0.60 (step @p92 :rule instantiate :premises (@p29) :args ((@list 4 7 @t11))) % 0.39/0.60 (step-pop @p134 :rule scope :premises (@p92)) % 0.39/0.60 (step @p93 :rule process_scope :premises (@p134) :args (@t46)) % 0.39/0.60 (step @p95 :rule eq_resolve :premises (@p93 @p90)) % 0.39/0.60 (step @p96 :rule implies_elim :premises (@p95)) % 0.39/0.60 (step @p97 :rule chain_m_resolution :premises (@p96 @p29) :args (@t42 @t32 @t33)) % 0.39/0.60 (step @p98 :rule aci_norm :args ((= (or false @t48 @t40) @t49))) % 0.39/0.60 (step @p99 :rule refl :args (@t40)) % 0.39/0.60 (step @p100 :rule refl :args (@t48)) % 0.39/0.60 (step @p101 :rule evaluate :args ((>= -93 0))) % 0.39/0.60 (step @p102 :rule evaluate :args ((+ 7 -100))) % 0.39/0.60 (step @p103 :rule evaluate :args (@t50)) % 0.39/0.60 (step @p104 :rule refl :args (7)) % 0.39/0.60 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t51)) % 0.39/0.60 (step @p106 :rule trans :premises (@p105 @p102)) % 0.39/0.60 (step @p107 :rule cong :premises (@p106 @p34) :args (@t52)) % 0.39/0.60 (step @p108 :rule trans :premises (@p107 @p101)) % 0.39/0.60 (step @p109 :rule nary_cong :premises (@p108 @p100 @p99) :args (@t53)) % 0.39/0.60 (step @p110 :rule trans :premises (@p109 @p98)) % 0.39/0.60 (step @p111 :rule cong :premises (@p44 @p110) :args ((=> @t31 @t53))) % 0.39/0.60 (assume-push @p135 @t31) % 0.39/0.60 (step @p113 :rule instantiate :premises (@p29) :args ((@list 7 100 tptp.nil))) % 0.39/0.60 (step-pop @p136 :rule scope :premises (@p113)) % 0.39/0.60 (step @p114 :rule process_scope :premises (@p136) :args (@t53)) % 0.39/0.60 (step @p116 :rule eq_resolve :premises (@p114 @p111)) % 0.39/0.60 (step @p117 :rule implies_elim :premises (@p116)) % 0.39/0.60 (step @p118 :rule chain_m_resolution :premises (@p117 @p29) :args (@t49 @t32 @t33)) % 0.39/0.60 (step @p119 :rule instantiate :premises (@p2) :args ((@list 100))) % 0.39/0.60 (step @p120 :rule cnf_or_pos :args (@t49)) % 0.39/0.60 (step @p121 :rule reordering :premises (@p120) :args ((or @t48 @t40 (not @t49)))) % 0.39/0.60 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p118) :args (@t40 @t54 (@list @t47 @t49))) % 0.39/0.60 (step @p123 :rule cnf_or_pos :args (@t42)) % 0.39/0.60 (step @p124 :rule reordering :premises (@p123) :args ((or @t41 @t24 (not @t42)))) % 0.39/0.60 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p97) :args (@t24 @t54 (@list @t40 @t42))) % 0.39/0.60 (step @p126 :rule cnf_or_pos :args (@t26)) % 0.39/0.60 (step @p127 :rule reordering :premises (@p126) :args ((or @t25 @t23 (not @t26)))) % 0.39/0.60 (step @p128 false :rule chain_m_resolution :premises (@p127 @p125 @p76 @p52) :args (false (@list false true false) (@list @t24 @t23 @t26))) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------