%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL133-1 : 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 : n012.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 0.08s 0.36s % Output : Proof 0.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : LCL133-1 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.02 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.03/0.29 % Computer : n012.cluster.edu % 0.03/0.29 % Model : x86_64 x86_64 % 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.03/0.29 % Memory : 8046.5625MB % 0.03/0.29 % OS : Linux 6.8.0-71-generic % 0.03/0.29 % CPULimit : 300 % 0.03/0.29 % WCLimit : 300 % 0.03/0.29 % DateTime : Sat Sep 5 08:06:27 UTC 2026 % 0.03/0.29 % CPUTime : % 0.08/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.08/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.08/0.36 % SZS status Unsatisfiable % 0.08/0.36 % SZS output start Proof % 0.08/0.36 ( % 0.08/0.36 (declare-sort $$unsorted 0) % 0.08/0.36 (declare-const tptp.x $$unsorted) % 0.08/0.36 (declare-const tptp.y $$unsorted) % 0.08/0.36 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 0.08/0.36 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 0.08/0.36 (declare-const tptp.truth $$unsorted) % 0.08/0.36 (define @t1 () (@var "X" $$unsorted)) % 0.08/0.36 (define @t2 () (tptp.implies tptp.truth @t1)) % 0.08/0.36 (define @t3 () (forall (@list @t1) (= @t2 @t1))) % 0.08/0.36 (define @t4 () (@var "Z" $$unsorted)) % 0.08/0.36 (define @t5 () (@var "Y" $$unsorted)) % 0.08/0.36 (define @t6 () (tptp.implies @t1 @t5)) % 0.08/0.36 (define @t7 () (tptp.implies @t6 (tptp.implies (tptp.implies @t5 @t4) (tptp.implies @t1 @t4)))) % 0.08/0.36 (define @t8 () (forall (@list @t1 @t5 @t4) (= @t7 tptp.truth))) % 0.08/0.36 (define @t9 () (tptp.implies @t5 @t1)) % 0.08/0.36 (define @t10 () (@list @t1 @t5)) % 0.08/0.36 (define @t11 () (@list tptp.x tptp.y)) % 0.08/0.36 (define @t12 () (tptp.implies tptp.x tptp.y)) % 0.08/0.36 (define @t13 () (@list tptp.truth tptp.y)) % 0.08/0.36 (define @t14 () (tptp.implies tptp.x tptp.truth)) % 0.08/0.36 (define @t15 () (tptp.implies tptp.truth tptp.truth)) % 0.08/0.36 (define @t16 () (tptp.implies @t15 @t14)) % 0.08/0.36 (define @t17 () (tptp.implies @t14 @t16)) % 0.08/0.36 (define @t18 () (= tptp.truth @t17)) % 0.08/0.36 (define @t19 () (not @t18)) % 0.08/0.36 (define @t20 () (tptp.implies tptp.truth tptp.x)) % 0.08/0.36 (define @t21 () (= tptp.x @t20)) % 0.08/0.36 (define @t22 () (not @t21)) % 0.08/0.36 (define @t23 () (tptp.implies tptp.y tptp.truth)) % 0.08/0.36 (define @t24 () (tptp.implies tptp.truth tptp.y)) % 0.08/0.36 (define @t25 () (= @t24 @t23)) % 0.08/0.36 (define @t26 () (not @t25)) % 0.08/0.36 (define @t27 () (tptp.implies @t23 tptp.truth)) % 0.08/0.36 (define @t28 () (= (tptp.implies @t24 tptp.y) @t27)) % 0.08/0.36 (define @t29 () (not @t28)) % 0.08/0.36 (define @t30 () (tptp.implies @t24 @t24)) % 0.08/0.36 (define @t31 () (tptp.implies @t15 @t30)) % 0.08/0.36 (define @t32 () (= tptp.truth @t31)) % 0.08/0.36 (define @t33 () (not @t32)) % 0.08/0.36 (define @t34 () (= tptp.y @t24)) % 0.08/0.36 (define @t35 () (not @t34)) % 0.08/0.36 (define @t36 () (tptp.implies tptp.y @t12)) % 0.08/0.36 (define @t37 () (tptp.implies @t12 tptp.y)) % 0.08/0.36 (define @t38 () (= @t37 @t36)) % 0.08/0.36 (define @t39 () (not @t38)) % 0.08/0.36 (define @t40 () (tptp.implies tptp.y tptp.x)) % 0.08/0.36 (define @t41 () (= @t12 @t40)) % 0.08/0.36 (define @t42 () (not @t41)) % 0.08/0.36 (define @t43 () (= @t37 (tptp.implies @t40 tptp.x))) % 0.08/0.36 (define @t44 () (not @t43)) % 0.08/0.36 (define @t45 () (= tptp.truth @t15)) % 0.08/0.36 (define @t46 () (not @t45)) % 0.08/0.36 (define @t47 () (= tptp.y tptp.x)) % 0.08/0.36 (define @t48 () (not @t47)) % 0.08/0.36 (define @t49 () (tptp.implies @t12 @t24)) % 0.08/0.36 (define @t50 () (and @t48 @t45 @t43 @t41 @t38 @t34 @t32 @t28 @t25 @t21)) % 0.08/0.36 (assume @p1 @t3) % 0.08/0.36 (assume @p2 @t8) % 0.08/0.36 (assume @p3 (forall @t10 (= (tptp.implies @t6 @t5) (tptp.implies @t9 @t1)))) % 0.08/0.36 (assume @p4 (forall @t10 (= (tptp.implies (tptp.implies (tptp.not @t1) (tptp.not @t5)) @t9) tptp.truth))) % 0.08/0.36 (assume @p5 (forall @t10 (= @t6 @t9))) % 0.08/0.36 (assume @p6 (not (= tptp.x tptp.y))) % 0.08/0.36 (step @p7 :rule symm :premises (@p6)) % 0.08/0.36 (step @p8 :rule eq-symm :args (@t2 @t1)) % 0.08/0.36 (step @p9 :rule cong :premises (@p8) :args (@t3)) % 0.08/0.36 (step @p10 :rule eq_resolve :premises (@p1 @p9)) % 0.08/0.36 (step @p11 :rule instantiate :premises (@p10) :args ((@list tptp.truth))) % 0.08/0.36 (step @p12 :rule instantiate :premises (@p3) :args (@t11)) % 0.08/0.36 (step @p13 :rule instantiate :premises (@p5) :args (@t11)) % 0.08/0.36 (step @p14 :rule instantiate :premises (@p5) :args ((@list @t12 tptp.y))) % 0.08/0.36 (step @p15 :rule instantiate :premises (@p10) :args ((@list tptp.y))) % 0.08/0.36 (step @p16 :rule eq-symm :args (@t7 tptp.truth)) % 0.08/0.36 (step @p17 :rule cong :premises (@p16) :args (@t8)) % 0.08/0.36 (step @p18 :rule eq_resolve :premises (@p2 @p17)) % 0.08/0.36 (step @p19 :rule instantiate :premises (@p18) :args ((@list tptp.truth tptp.truth tptp.y))) % 0.08/0.36 (step @p20 :rule instantiate :premises (@p3) :args (@t13)) % 0.08/0.36 (step @p21 :rule instantiate :premises (@p5) :args (@t13)) % 0.08/0.36 (step @p22 :rule instantiate :premises (@p10) :args ((@list tptp.x))) % 0.08/0.36 (step @p23 :rule instantiate :premises (@p18) :args ((@list tptp.x tptp.truth tptp.truth))) % 0.08/0.36 (step @p24 :rule refl :args (@t19)) % 0.08/0.36 (step @p25 :rule refl :args (@t22)) % 0.08/0.36 (step @p26 :rule refl :args (@t26)) % 0.08/0.36 (step @p27 :rule refl :args (@t29)) % 0.08/0.36 (step @p28 :rule refl :args (@t33)) % 0.08/0.36 (step @p29 :rule refl :args (@t35)) % 0.08/0.36 (step @p30 :rule refl :args (@t39)) % 0.08/0.36 (step @p31 :rule refl :args (@t42)) % 0.08/0.36 (step @p32 :rule refl :args (@t44)) % 0.08/0.36 (step @p33 :rule refl :args (@t46)) % 0.08/0.36 (step @p34 :rule bool-double-not-elim :args (@t47)) % 0.08/0.36 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24) :args ((or (not @t48) @t46 @t44 @t42 @t39 @t35 @t33 @t29 @t26 @t22 @t19))) % 0.08/0.36 (assume-push @p105 @t48) % 0.08/0.36 (assume-push @p106 @t45) % 0.08/0.36 (assume-push @p107 @t43) % 0.08/0.36 (assume-push @p108 @t41) % 0.08/0.36 (assume-push @p109 @t38) % 0.08/0.36 (assume-push @p110 @t34) % 0.08/0.36 (assume-push @p111 @t32) % 0.08/0.36 (assume-push @p112 @t28) % 0.08/0.36 (assume-push @p113 @t25) % 0.08/0.36 (assume-push @p114 @t21) % 0.08/0.36 (step @p46 :rule false_intro :premises (@p7)) % 0.08/0.36 (step @p47 :rule symm :premises (@p22)) % 0.08/0.36 (step @p48 :rule refl :args (tptp.x)) % 0.08/0.36 (step @p49 :rule symm :premises (@p15)) % 0.08/0.36 (step @p50 :rule symm :premises (@p21)) % 0.08/0.36 (step @p51 :rule refl :args (tptp.truth)) % 0.08/0.36 (step @p52 :rule trans :premises (@p50 @p49)) % 0.08/0.36 (step @p53 :rule cong :premises (@p52 @p51) :args (@t27)) % 0.08/0.36 (step @p54 :rule refl :args (@t24)) % 0.08/0.36 (step @p55 :rule cong :premises (@p54 @p49) :args (@t30)) % 0.08/0.36 (step @p56 :rule trans :premises (@p55 @p20 @p53 @p50 @p49)) % 0.08/0.36 (step @p57 :rule symm :premises (@p11)) % 0.08/0.36 (step @p58 :rule cong :premises (@p57 @p56) :args (@t31)) % 0.08/0.36 (step @p59 :rule trans :premises (@p19 @p58 @p49)) % 0.08/0.36 (step @p60 :rule symm :premises (@p59)) % 0.08/0.36 (step @p61 :rule cong :premises (@p60 @p48) :args (@t40)) % 0.08/0.36 (step @p62 :rule trans :premises (@p13 @p61 @p47)) % 0.08/0.36 (step @p63 :rule cong :premises (@p60 @p62) :args (@t36)) % 0.08/0.36 (step @p64 :rule symm :premises (@p12)) % 0.08/0.36 (step @p65 :rule refl :args (@t12)) % 0.08/0.36 (step @p66 :rule cong :premises (@p65 @p49) :args (@t49)) % 0.08/0.36 (step @p67 :rule trans :premises (@p66 @p14 @p63 @p47)) % 0.08/0.36 (step @p68 :rule symm :premises (@p61)) % 0.08/0.36 (step @p69 :rule cong :premises (@p68 @p67) :args ((tptp.implies @t20 @t49))) % 0.08/0.36 (step @p70 :rule symm :premises (@p66)) % 0.08/0.36 (step @p71 :rule symm :premises (@p14)) % 0.08/0.36 (step @p72 :rule cong :premises (@p48 @p59) :args (@t14)) % 0.08/0.36 (step @p73 :rule symm :premises (@p19)) % 0.08/0.36 (step @p74 :rule symm :premises (@p58)) % 0.08/0.36 (step @p75 :rule trans :premises (@p50 @p74 @p73)) % 0.08/0.36 (step @p76 :rule symm :premises (@p75)) % 0.08/0.36 (step @p77 :rule trans :premises (@p57 @p76 @p52)) % 0.08/0.36 (step @p78 :rule cong :premises (@p77 @p72) :args (@t16)) % 0.08/0.36 (step @p79 :rule trans :premises (@p78 @p71 @p70)) % 0.08/0.36 (step @p80 :rule symm :premises (@p13)) % 0.08/0.36 (step @p81 :rule trans :premises (@p68 @p80)) % 0.08/0.36 (step @p82 :rule symm :premises (@p81)) % 0.08/0.36 (step @p83 :rule trans :premises (@p72 @p82)) % 0.08/0.36 (step @p84 :rule cong :premises (@p83 @p79) :args (@t17)) % 0.08/0.36 (step @p85 :rule trans :premises (@p84 @p69 @p64 @p14 @p63 @p47)) % 0.08/0.36 (step @p86 :rule cong :premises (@p59 @p85) :args (@t18)) % 0.08/0.36 (step @p87 :rule trans :premises (@p86 @p46)) % 0.08/0.36 (step @p88 :rule false_elim :premises (@p87)) % 0.08/0.36 (step-pop @p115 :rule scope :premises (@p88)) % 0.08/0.36 (step-pop @p116 :rule scope :premises (@p115)) % 0.08/0.36 (step-pop @p117 :rule scope :premises (@p116)) % 0.08/0.36 (step-pop @p118 :rule scope :premises (@p117)) % 0.08/0.36 (step-pop @p119 :rule scope :premises (@p118)) % 0.08/0.36 (step-pop @p120 :rule scope :premises (@p119)) % 0.08/0.36 (step-pop @p121 :rule scope :premises (@p120)) % 0.08/0.36 (step-pop @p122 :rule scope :premises (@p121)) % 0.08/0.36 (step-pop @p123 :rule scope :premises (@p122)) % 0.08/0.36 (step-pop @p124 :rule scope :premises (@p123)) % 0.08/0.36 (step @p89 :rule process_scope :premises (@p124) :args (@t19)) % 0.08/0.36 (step @p100 :rule implies_elim :premises (@p89)) % 0.08/0.36 (step @p101 :rule cnf_and_neg :args (@t50)) % 0.08/0.36 (step @p102 :rule resolution :premises (@p101 @p100) :args (true @t50)) % 0.08/0.36 (step @p103 :rule eq_resolve :premises (@p102 @p35)) % 0.08/0.36 (step @p104 false :rule chain_m_resolution :premises (@p103 @p23 @p22 @p21 @p20 @p19 @p15 @p14 @p13 @p12 @p11 @p7) :args (false (@list false false false false false false false false false false true) (@list @t18 @t21 @t25 @t28 @t32 @t34 @t38 @t41 @t43 @t45 @t47))) % 0.08/0.36 ) % 0.08/0.36 % SZS output end Proof % 0.08/0.37 % cvc5 exiting %------------------------------------------------------------------------------