%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL109-3 : TPTP v9.3.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:22:11 AM UTC 2026 % Result : Unsatisfiable 113.32s 115.35s % Output : Proof 113.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL109-3 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.36 % Computer : n018.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Sat Sep 5 20:29:49 UTC 2026 % 0.11/0.36 % CPUTime : % 0.14/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.20/15.82 --- Run --no-e-matching --full-saturate-quant at 6... % 21.23/22.16 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.28/28.51 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.28/34.85 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.30/65.01 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.32/80.18 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.34/113.35 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 113.32/115.35 % SZS status Unsatisfiable % 113.32/115.35 % SZS output start Proof % 113.32/115.35 ( % 113.32/115.35 (declare-sort $$unsorted 0) % 113.32/115.35 (declare-const tptp.b $$unsorted) % 113.32/115.35 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 113.32/115.35 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 113.32/115.35 (declare-const tptp.a $$unsorted) % 113.32/115.35 (declare-const tptp.truth $$unsorted) % 113.32/115.35 (define @t1 () (@var "X" $$unsorted)) % 113.32/115.35 (define @t2 () (tptp.implies tptp.truth @t1)) % 113.32/115.35 (define @t3 () (@list @t1)) % 113.32/115.35 (define @t4 () (forall @t3 (= @t2 @t1))) % 113.32/115.35 (define @t5 () (@var "Z" $$unsorted)) % 113.32/115.35 (define @t6 () (tptp.implies @t1 @t5)) % 113.32/115.35 (define @t7 () (@var "Y" $$unsorted)) % 113.32/115.35 (define @t8 () (tptp.implies @t7 @t5)) % 113.32/115.35 (define @t9 () (tptp.implies @t1 @t7)) % 113.32/115.35 (define @t10 () (@list @t1 @t7 @t5)) % 113.32/115.35 (define @t11 () (tptp.implies @t7 @t1)) % 113.32/115.35 (define @t12 () (@list @t1 @t7)) % 113.32/115.35 (define @t13 () (tptp.not @t1)) % 113.32/115.35 (define @t14 () (tptp.implies @t13 (tptp.not @t7))) % 113.32/115.35 (define @t15 () (tptp.implies @t1 @t11)) % 113.32/115.35 (define @t16 () (forall @t12 (= @t15 tptp.truth))) % 113.32/115.35 (define @t17 () (not (= @t9 @t8))) % 113.32/115.35 (define @t18 () (or @t17 (= @t6 tptp.truth))) % 113.32/115.35 (define @t19 () (forall @t10 @t18)) % 113.32/115.35 (define @t20 () (tptp.implies tptp.b tptp.a)) % 113.32/115.35 (define @t21 () (tptp.implies tptp.a tptp.b)) % 113.32/115.35 (define @t22 () (tptp.implies @t21 @t20)) % 113.32/115.35 (define @t23 () (tptp.implies @t22 @t20)) % 113.32/115.35 (define @t24 () (tptp.implies @t22 tptp.a)) % 113.32/115.35 (define @t25 () (tptp.implies @t23 tptp.b)) % 113.32/115.35 (define @t26 () (tptp.implies @t25 @t24)) % 113.32/115.35 (define @t27 () (= tptp.truth @t26)) % 113.32/115.35 (define @t28 () (tptp.implies @t25 tptp.b)) % 113.32/115.35 (define @t29 () (tptp.implies tptp.b @t24)) % 113.32/115.35 (define @t30 () (not (= @t28 @t29))) % 113.32/115.35 (define @t31 () (or @t30 @t27)) % 113.32/115.35 (define @t32 () (forall @t10 (or @t17 (= tptp.truth @t6)))) % 113.32/115.35 (define @t33 () (= @t29 @t28)) % 113.32/115.35 (define @t34 () (not @t33)) % 113.32/115.35 (define @t35 () (or @t34 @t27)) % 113.32/115.35 (define @t36 () (@list false)) % 113.32/115.35 (define @t37 () (@list @t32)) % 113.32/115.35 (define @t38 () (= tptp.truth @t29)) % 113.32/115.35 (define @t39 () (not (= (tptp.implies tptp.b @t25) @t26))) % 113.32/115.35 (define @t40 () (or @t39 @t38)) % 113.32/115.35 (define @t41 () (tptp.implies tptp.b tptp.b)) % 113.32/115.35 (define @t42 () (= tptp.truth @t41)) % 113.32/115.35 (define @t43 () (not (= @t41 @t41))) % 113.32/115.35 (define @t44 () (or @t43 @t42)) % 113.32/115.35 (define @t45 () (tptp.implies @t20 @t23)) % 113.32/115.35 (define @t46 () (tptp.implies @t20 @t21)) % 113.32/115.36 (define @t47 () (tptp.implies @t46 @t21)) % 113.32/115.36 (define @t48 () (tptp.implies tptp.b @t47)) % 113.32/115.36 (define @t49 () (= tptp.truth @t48)) % 113.32/115.36 (define @t50 () (= (tptp.implies tptp.b @t21) (tptp.implies @t21 @t47))) % 113.32/115.36 (define @t51 () (not @t50)) % 113.32/115.36 (define @t52 () (or @t51 @t49)) % 113.32/115.36 (assume @p1 @t4) % 113.32/115.36 (assume @p2 (forall @t10 (= (tptp.implies @t9 (tptp.implies @t8 @t6)) tptp.truth))) % 113.32/115.36 (assume @p3 (forall @t12 (= (tptp.implies @t9 @t7) (tptp.implies @t11 @t1)))) % 113.32/115.36 (assume @p4 (forall @t12 (= (tptp.implies @t14 @t11) tptp.truth))) % 113.32/115.36 (assume @p5 (forall @t3 (= (tptp.implies @t1 @t1) tptp.truth))) % 113.32/115.36 (assume @p6 (forall @t12 (or (not (= @t9 @t11)) (= @t1 @t7)))) % 113.32/115.36 (assume @p7 (forall @t3 (= (tptp.implies @t1 tptp.truth) tptp.truth))) % 113.32/115.36 (assume @p8 @t16) % 113.32/115.36 (assume @p9 @t19) % 113.32/115.36 (assume @p10 (forall @t10 (= (tptp.implies @t9 (tptp.implies (tptp.implies @t5 @t1) (tptp.implies @t5 @t7))) tptp.truth))) % 113.32/115.36 (assume @p11 (forall @t10 (= (tptp.implies @t1 @t8) (tptp.implies @t7 @t6)))) % 113.32/115.36 (assume @p12 (forall @t3 (= (tptp.implies @t1 (tptp.not tptp.truth)) @t13))) % 113.32/115.36 (assume @p13 (forall @t3 (= (tptp.not @t13) @t1))) % 113.32/115.36 (assume @p14 (forall @t12 (= @t14 @t11))) % 113.32/115.36 (assume @p15 (not (= @t23 tptp.truth))) % 113.32/115.36 (step @p16 :rule eq-symm :args (@t6 tptp.truth)) % 113.32/115.36 (step @p17 :rule refl :args (@t17)) % 113.32/115.36 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t18)) % 113.32/115.36 (step @p19 :rule cong :premises (@p18) :args (@t19)) % 113.32/115.36 (step @p20 :rule eq_resolve :premises (@p9 @p19)) % 113.32/115.36 (step @p21 :rule refl :args (@t27)) % 113.32/115.36 (step @p22 :rule eq-symm :args (@t28 @t29)) % 113.32/115.36 (step @p23 :rule cong :premises (@p22) :args (@t30)) % 113.32/115.36 (step @p24 :rule nary_cong :premises (@p23 @p21) :args (@t31)) % 113.32/115.36 (step @p25 :rule refl :args (@t32)) % 113.32/115.36 (step @p26 :rule cong :premises (@p25 @p24) :args ((=> @t32 @t31))) % 113.32/115.36 (assume-push @p103 @t32) % 113.32/115.36 (step @p28 :rule instantiate :premises (@p20) :args ((@list @t25 tptp.b @t24))) % 113.32/115.36 (step-pop @p104 :rule scope :premises (@p28)) % 113.32/115.36 (step @p29 :rule process_scope :premises (@p104) :args (@t31)) % 113.32/115.36 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 113.32/115.36 (step @p32 :rule implies_elim :premises (@p31)) % 113.32/115.36 (step @p33 :rule chain_m_resolution :premises (@p32 @p20) :args (@t35 @t36 @t37)) % 113.32/115.36 (step @p34 :rule instantiate :premises (@p20) :args ((@list tptp.b @t25 @t24))) % 113.32/115.36 (step @p35 :rule symm :premises (@p15)) % 113.32/115.36 (step @p36 :rule false_intro :premises (@p35)) % 113.32/115.36 (step @p37 :rule instantiate :premises (@p11) :args ((@list @t22 tptp.b tptp.a))) % 113.32/115.36 (step @p38 :rule symm :premises (@p37)) % 113.32/115.36 (step @p39 :rule refl :args (tptp.truth)) % 113.32/115.36 (step @p40 :rule cong :premises (@p39 @p38) :args (@t38)) % 113.32/115.36 (step @p41 :rule trans :premises (@p40 @p36)) % 113.32/115.36 (step @p42 :rule false_elim :premises (@p41)) % 113.32/115.36 (step @p43 :rule cnf_or_pos :args (@t40)) % 113.32/115.36 (step @p44 :rule reordering :premises (@p43) :args ((or @t38 @t39 (not @t40)))) % 113.32/115.36 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p34) :args (@t39 (@list true false) (@list @t38 @t40))) % 113.32/115.36 (step @p46 :rule false_intro :premises (@p45)) % 113.32/115.36 (step @p47 :rule refl :args (@t26)) % 113.32/115.36 (step @p48 :rule instantiate :premises (@p11) :args ((@list @t23 tptp.b tptp.b))) % 113.32/115.36 (step @p49 :rule aci_norm :args ((= (or false @t42) @t42))) % 113.32/115.36 (step @p50 :rule refl :args (@t42)) % 113.32/115.36 (step @p51 :rule evaluate :args ((not true))) % 113.32/115.36 (step @p52 :rule eq-refl :args (@t41)) % 113.32/115.36 (step @p53 :rule cong :premises (@p52) :args (@t43)) % 113.32/115.36 (step @p54 :rule trans :premises (@p53 @p51)) % 113.32/115.36 (step @p55 :rule nary_cong :premises (@p54 @p50) :args (@t44)) % 113.32/115.36 (step @p56 :rule trans :premises (@p55 @p49)) % 113.32/115.36 (step @p57 :rule cong :premises (@p25 @p56) :args ((=> @t32 @t44))) % 113.32/115.36 (assume-push @p105 @t32) % 113.32/115.36 (step @p59 :rule instantiate :premises (@p20) :args ((@list tptp.b tptp.b tptp.b))) % 113.32/115.36 (step-pop @p106 :rule scope :premises (@p59)) % 113.32/115.36 (step @p60 :rule process_scope :premises (@p106) :args (@t44)) % 113.32/115.36 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 113.32/115.36 (step @p63 :rule implies_elim :premises (@p62)) % 113.32/115.36 (step @p64 :rule chain_m_resolution :premises (@p63 @p20) :args (@t42 @t36 @t37)) % 113.32/115.36 (step @p65 :rule eq-symm :args (@t15 tptp.truth)) % 113.32/115.36 (step @p66 :rule cong :premises (@p65) :args (@t16)) % 113.32/115.36 (step @p67 :rule eq_resolve :premises (@p8 @p66)) % 113.32/115.36 (step @p68 :rule instantiate :premises (@p67) :args ((@list @t20 @t22))) % 113.32/115.36 (step @p69 :rule symm :premises (@p68)) % 113.32/115.36 (step @p70 :rule trans :premises (@p69 @p64)) % 113.32/115.36 (step @p71 :rule refl :args (@t23)) % 113.32/115.36 (step @p72 :rule cong :premises (@p71 @p70) :args ((tptp.implies @t23 @t45))) % 113.32/115.36 (step @p73 :rule instantiate :premises (@p67) :args ((@list @t23 @t20))) % 113.32/115.36 (step @p74 :rule trans :premises (@p73 @p72 @p48)) % 113.32/115.36 (step @p75 :rule cong :premises (@p74 @p47) :args (@t27)) % 113.32/115.36 (step @p76 :rule trans :premises (@p75 @p46)) % 113.32/115.36 (step @p77 :rule false_elim :premises (@p76)) % 113.32/115.36 (step @p78 :rule instantiate :premises (@p3) :args ((@list tptp.b @t23))) % 113.32/115.36 (step @p79 :rule instantiate :premises (@p3) :args ((@list @t21 @t20))) % 113.32/115.36 (step @p80 :rule symm :premises (@p79)) % 113.32/115.36 (step @p81 :rule refl :args (tptp.b)) % 113.32/115.36 (step @p82 :rule cong :premises (@p81 @p80) :args (@t48)) % 113.32/115.36 (step @p83 :rule instantiate :premises (@p20) :args ((@list tptp.b @t21 @t47))) % 113.32/115.36 (step @p84 :rule instantiate :premises (@p67) :args ((@list @t21 @t46))) % 113.32/115.36 (step @p85 :rule instantiate :premises (@p67) :args ((@list tptp.b tptp.a))) % 113.32/115.36 (step @p86 :rule symm :premises (@p85)) % 113.32/115.36 (step @p87 :rule trans :premises (@p86 @p84)) % 113.32/115.36 (step @p88 :rule cnf_or_pos :args (@t52)) % 113.32/115.36 (step @p89 :rule reordering :premises (@p88) :args ((or @t51 @t49 (not @t52)))) % 113.32/115.36 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p83) :args (@t49 (@list false false) (@list @t50 @t52))) % 113.32/115.36 (step @p91 :rule trans :premises (@p90 @p82)) % 113.32/115.36 (step @p92 :rule trans :premises (@p69 @p91)) % 113.32/115.36 (step @p93 :rule cong :premises (@p92 @p71) :args ((tptp.implies @t45 @t23))) % 113.32/115.36 (step @p94 :rule cong :premises (@p68 @p71) :args ((tptp.implies tptp.truth @t23))) % 113.32/115.36 (step @p95 :rule eq-symm :args (@t2 @t1)) % 113.32/115.36 (step @p96 :rule cong :premises (@p95) :args (@t4)) % 113.32/115.36 (step @p97 :rule eq_resolve :premises (@p1 @p96)) % 113.32/115.36 (step @p98 :rule instantiate :premises (@p97) :args ((@list @t23))) % 113.32/115.36 (step @p99 :rule trans :premises (@p38 @p98 @p94 @p93 @p78)) % 113.32/115.36 (step @p100 :rule cnf_or_pos :args (@t35)) % 113.32/115.36 (step @p101 :rule reordering :premises (@p100) :args ((or @t27 @t34 (not @t35)))) % 113.32/115.36 (step @p102 false :rule chain_m_resolution :premises (@p101 @p99 @p77 @p33) :args (false (@list false true false) (@list @t33 @t27 @t35))) % 113.32/115.36 ) % 113.32/115.36 % SZS output end Proof % 113.32/115.36 % cvc5 exiting %------------------------------------------------------------------------------