%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL134-1 : 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 : n010.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 11:22:13 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.64s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : LCL134-1 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.44 % Computer : n010.cluster.edu % 0.17/0.44 % Model : x86_64 x86_64 % 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.44 % Memory : 8046.5625MB % 0.17/0.44 % OS : Linux 6.8.0-71-generic % 0.17/0.44 % CPULimit : 300 % 0.17/0.44 % WCLimit : 300 % 0.17/0.44 % DateTime : Fri Sep 4 18:17:08 UTC 2026 % 0.17/0.44 % CPUTime : % 0.25/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.25/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.64 % SZS status Unsatisfiable % 0.31/0.64 % SZS output start Proof % 0.31/0.64 ( % 0.31/0.64 (declare-sort $$unsorted 0) % 0.31/0.64 (declare-const tptp.x $$unsorted) % 0.31/0.64 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 0.31/0.64 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.64 (declare-const tptp.truth $$unsorted) % 0.31/0.64 (define @t1 () (@var "X" $$unsorted)) % 0.31/0.64 (define @t2 () (tptp.implies tptp.truth @t1)) % 0.31/0.64 (define @t3 () (forall (@list @t1) (= @t2 @t1))) % 0.31/0.64 (define @t4 () (@var "Z" $$unsorted)) % 0.31/0.64 (define @t5 () (@var "Y" $$unsorted)) % 0.31/0.64 (define @t6 () (tptp.implies @t1 @t5)) % 0.31/0.64 (define @t7 () (tptp.implies @t6 (tptp.implies (tptp.implies @t5 @t4) (tptp.implies @t1 @t4)))) % 0.31/0.64 (define @t8 () (forall (@list @t1 @t5 @t4) (= @t7 tptp.truth))) % 0.31/0.64 (define @t9 () (tptp.implies @t5 @t1)) % 0.31/0.64 (define @t10 () (@list @t1 @t5)) % 0.31/0.64 (define @t11 () (tptp.implies (tptp.implies (tptp.not @t1) (tptp.not @t5)) @t9)) % 0.31/0.64 (define @t12 () (forall @t10 (= @t11 tptp.truth))) % 0.31/0.64 (define @t13 () (tptp.implies tptp.x tptp.truth)) % 0.31/0.64 (define @t14 () (tptp.implies tptp.truth tptp.truth)) % 0.31/0.64 (define @t15 () (tptp.not tptp.truth)) % 0.31/0.64 (define @t16 () (tptp.implies @t15 @t15)) % 0.31/0.64 (define @t17 () (tptp.implies @t16 @t16)) % 0.31/0.64 (define @t18 () (tptp.implies tptp.truth tptp.x)) % 0.31/0.64 (define @t19 () (tptp.implies @t18 @t18)) % 0.31/0.64 (define @t20 () (= tptp.truth @t14)) % 0.31/0.64 (define @t21 () (tptp.implies @t18 tptp.x)) % 0.31/0.64 (define @t22 () (= @t21 (tptp.implies @t13 tptp.truth))) % 0.31/0.64 (define @t23 () (tptp.implies @t16 @t14)) % 0.31/0.64 (define @t24 () (= tptp.truth @t23)) % 0.31/0.64 (define @t25 () (= tptp.x @t18)) % 0.31/0.64 (define @t26 () (= tptp.truth (tptp.implies @t17 (tptp.implies @t23 @t23)))) % 0.31/0.64 (define @t27 () (tptp.implies tptp.truth @t16)) % 0.31/0.64 (define @t28 () (tptp.implies @t16 tptp.truth)) % 0.31/0.64 (define @t29 () (tptp.implies @t28 tptp.truth)) % 0.31/0.64 (define @t30 () (= @t29 (tptp.implies @t27 @t16))) % 0.31/0.64 (define @t31 () (= @t16 @t27)) % 0.31/0.64 (define @t32 () (tptp.implies @t17 tptp.truth)) % 0.31/0.64 (define @t33 () (tptp.implies @t13 @t32)) % 0.31/0.64 (define @t34 () (tptp.implies @t17 tptp.x)) % 0.31/0.64 (define @t35 () (tptp.implies @t34 @t33)) % 0.31/0.64 (define @t36 () (= tptp.truth @t35)) % 0.31/0.64 (define @t37 () (= tptp.truth (tptp.implies @t14 @t19))) % 0.31/0.64 (define @t38 () (tptp.implies tptp.truth @t19)) % 0.31/0.64 (define @t39 () (= @t19 @t38)) % 0.31/0.64 (define @t40 () (= tptp.truth @t13)) % 0.31/0.64 (define @t41 () (and @t20 @t22 @t24 @t25 @t26 @t30 @t31 @t36 @t37 @t39)) % 0.31/0.64 (assume @p1 @t3) % 0.31/0.64 (assume @p2 @t8) % 0.31/0.64 (assume @p3 (forall @t10 (= (tptp.implies @t6 @t5) (tptp.implies @t9 @t1)))) % 0.31/0.64 (assume @p4 @t12) % 0.31/0.64 (assume @p5 (not (= @t13 tptp.truth))) % 0.31/0.64 (step @p6 :rule symm :premises (@p5)) % 0.31/0.64 (step @p7 :rule eq-symm :args (@t2 @t1)) % 0.31/0.64 (step @p8 :rule cong :premises (@p7) :args (@t3)) % 0.31/0.64 (step @p9 :rule eq_resolve :premises (@p1 @p8)) % 0.31/0.64 (step @p10 :rule instantiate :premises (@p9) :args ((@list tptp.truth))) % 0.31/0.64 (step @p11 :rule instantiate :premises (@p3) :args ((@list tptp.truth tptp.x))) % 0.31/0.64 (step @p12 :rule eq-symm :args (@t11 tptp.truth)) % 0.31/0.64 (step @p13 :rule cong :premises (@p12) :args (@t12)) % 0.31/0.64 (step @p14 :rule eq_resolve :premises (@p4 @p13)) % 0.31/0.64 (step @p15 :rule instantiate :premises (@p14) :args ((@list tptp.truth tptp.truth))) % 0.31/0.64 (step @p16 :rule instantiate :premises (@p9) :args ((@list tptp.x))) % 0.31/0.64 (step @p17 :rule eq-symm :args (@t7 tptp.truth)) % 0.31/0.64 (step @p18 :rule cong :premises (@p17) :args (@t8)) % 0.31/0.64 (step @p19 :rule eq_resolve :premises (@p2 @p18)) % 0.31/0.65 (step @p20 :rule instantiate :premises (@p19) :args ((@list @t16 @t16 @t14))) % 0.31/0.65 (step @p21 :rule instantiate :premises (@p3) :args ((@list @t16 tptp.truth))) % 0.31/0.65 (step @p22 :rule instantiate :premises (@p9) :args ((@list @t16))) % 0.31/0.65 (step @p23 :rule instantiate :premises (@p19) :args ((@list @t17 tptp.x tptp.truth))) % 0.31/0.65 (step @p24 :rule instantiate :premises (@p19) :args ((@list tptp.truth tptp.truth tptp.x))) % 0.31/0.65 (step @p25 :rule instantiate :premises (@p9) :args ((@list @t19))) % 0.31/0.65 (assume-push @p93 @t20) % 0.31/0.65 (assume-push @p94 @t22) % 0.31/0.65 (assume-push @p95 @t24) % 0.31/0.65 (assume-push @p96 @t25) % 0.31/0.65 (assume-push @p97 @t26) % 0.31/0.65 (assume-push @p98 @t30) % 0.31/0.65 (assume-push @p99 @t31) % 0.31/0.65 (assume-push @p100 @t36) % 0.31/0.65 (assume-push @p101 @t37) % 0.31/0.65 (assume-push @p102 @t39) % 0.31/0.65 (step @p36 :rule symm :premises (@p24)) % 0.31/0.65 (step @p37 :rule refl :args (@t19)) % 0.31/0.65 (step @p38 :rule cong :premises (@p10 @p37) :args (@t38)) % 0.31/0.65 (step @p39 :rule refl :args (@t18)) % 0.31/0.65 (step @p40 :rule cong :premises (@p39 @p16) :args (@t21)) % 0.31/0.65 (step @p41 :rule trans :premises (@p40 @p25 @p38 @p36)) % 0.31/0.65 (step @p42 :rule symm :premises (@p16)) % 0.31/0.65 (step @p43 :rule cong :premises (@p42 @p41) :args ((tptp.implies @t18 @t21))) % 0.31/0.65 (step @p44 :rule symm :premises (@p11)) % 0.31/0.65 (step @p45 :rule symm :premises (@p15)) % 0.31/0.65 (step @p46 :rule refl :args (@t16)) % 0.31/0.65 (step @p47 :rule cong :premises (@p46 @p10) :args (@t28)) % 0.31/0.65 (step @p48 :rule trans :premises (@p47 @p45)) % 0.31/0.65 (step @p49 :rule refl :args (@t13)) % 0.31/0.65 (step @p50 :rule cong :premises (@p49 @p48) :args ((tptp.implies @t13 @t28))) % 0.31/0.65 (step @p51 :rule symm :premises (@p47)) % 0.31/0.65 (step @p52 :rule symm :premises (@p20)) % 0.31/0.65 (step @p53 :rule symm :premises (@p10)) % 0.31/0.65 (step @p54 :rule trans :premises (@p53 @p15)) % 0.31/0.65 (step @p55 :rule cong :premises (@p54 @p54) :args ((tptp.implies @t14 @t14))) % 0.31/0.65 (step @p56 :rule cong :premises (@p10 @p10) :args (@t14)) % 0.31/0.65 (step @p57 :rule trans :premises (@p10 @p56 @p55)) % 0.31/0.65 (step @p58 :rule refl :args (@t17)) % 0.31/0.65 (step @p59 :rule cong :premises (@p58 @p57) :args (@t32)) % 0.31/0.65 (step @p60 :rule trans :premises (@p59 @p52 @p15 @p51)) % 0.31/0.65 (step @p61 :rule cong :premises (@p49 @p60) :args (@t33)) % 0.31/0.65 (step @p62 :rule trans :premises (@p61 @p50 @p44)) % 0.31/0.65 (step @p63 :rule refl :args (tptp.x)) % 0.31/0.65 (step @p64 :rule symm :premises (@p56)) % 0.31/0.65 (step @p65 :rule trans :premises (@p48 @p10)) % 0.31/0.65 (step @p66 :rule cong :premises (@p65 @p10) :args (@t29)) % 0.31/0.65 (step @p67 :rule symm :premises (@p21)) % 0.31/0.65 (step @p68 :rule symm :premises (@p22)) % 0.31/0.65 (step @p69 :rule refl :args (@t27)) % 0.31/0.65 (step @p70 :rule cong :premises (@p69 @p68) :args ((tptp.implies @t27 @t27))) % 0.31/0.65 (step @p71 :rule cong :premises (@p22 @p69) :args ((tptp.implies @t16 @t27))) % 0.31/0.65 (step @p72 :rule cong :premises (@p46 @p22) :args (@t17)) % 0.31/0.65 (step @p73 :rule trans :premises (@p72 @p71 @p70 @p67 @p66 @p64 @p53)) % 0.31/0.65 (step @p74 :rule cong :premises (@p73 @p63) :args (@t34)) % 0.31/0.65 (step @p75 :rule cong :premises (@p74 @p62) :args (@t35)) % 0.31/0.65 (step @p76 :rule trans :premises (@p23 @p75 @p43)) % 0.31/0.65 (step-pop @p103 :rule scope :premises (@p76)) % 0.31/0.65 (step-pop @p104 :rule scope :premises (@p103)) % 0.31/0.65 (step-pop @p105 :rule scope :premises (@p104)) % 0.31/0.65 (step-pop @p106 :rule scope :premises (@p105)) % 0.31/0.65 (step-pop @p107 :rule scope :premises (@p106)) % 0.31/0.65 (step-pop @p108 :rule scope :premises (@p107)) % 0.31/0.65 (step-pop @p109 :rule scope :premises (@p108)) % 0.31/0.65 (step-pop @p110 :rule scope :premises (@p109)) % 0.31/0.65 (step-pop @p111 :rule scope :premises (@p110)) % 0.31/0.65 (step-pop @p112 :rule scope :premises (@p111)) % 0.31/0.65 (step @p77 :rule process_scope :premises (@p112) :args (@t40)) % 0.31/0.65 (step @p88 :rule implies_elim :premises (@p77)) % 0.31/0.65 (step @p89 :rule cnf_and_neg :args (@t41)) % 0.31/0.65 (step @p90 :rule resolution :premises (@p89 @p88) :args (true @t41)) % 0.31/0.65 (step @p91 :rule reordering :premises (@p90) :args ((or @t40 (not @t20) (not @t22) (not @t24) (not @t25) (not @t26) (not @t30) (not @t31) (not @t36) (not @t37) (not @t39)))) % 0.31/0.65 (step @p92 false :rule chain_m_resolution :premises (@p91 @p25 @p24 @p23 @p22 @p21 @p20 @p16 @p15 @p11 @p10 @p6) :args (false (@list false false false false false false false false false false true) (@list @t39 @t37 @t36 @t31 @t30 @t26 @t25 @t24 @t22 @t20 @t40))) % 0.31/0.65 ) % 0.31/0.65 % SZS output end Proof % 0.31/0.65 % cvc5 exiting %------------------------------------------------------------------------------