%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL897+1 : TPTP v9.3.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:08 AM UTC 2026 % Result : Theorem 0.19s 0.48s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL897+1 : TPTP v9.3.1. Released v5.5.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.35 % Computer : n015.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 5 15:11:12 UTC 2026 % 0.08/0.35 % CPUTime : % 0.12/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.48 % SZS status Theorem % 0.19/0.48 % SZS output start Proof % 0.19/0.48 ( % 0.19/0.48 (declare-sort $$unsorted 0) % 0.19/0.48 (declare-const tptp.b $$unsorted) % 0.19/0.48 (declare-const tptp.c $$unsorted) % 0.19/0.48 (declare-const |tptp.'==>'| (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.48 (declare-const tptp.a $$unsorted) % 0.19/0.48 (declare-const |tptp.'0'| $$unsorted) % 0.19/0.48 (declare-const |tptp.'+'| (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.48 (define @t1 () (@var "C" $$unsorted)) % 0.19/0.48 (define @t2 () (@var "B" $$unsorted)) % 0.19/0.48 (define @t3 () (@var "A" $$unsorted)) % 0.19/0.48 (define @t4 () (|tptp.'+'| @t3 @t2)) % 0.19/0.48 (define @t5 () (@list @t3 @t2 @t1)) % 0.19/0.48 (define @t6 () (@list @t3 @t2)) % 0.19/0.48 (define @t7 () (@list @t3)) % 0.19/0.48 (define @t8 () (forall @t5 (= (|tptp.'==>'| @t4 @t1) (|tptp.'==>'| @t3 (|tptp.'==>'| @t2 @t1))))) % 0.19/0.48 (define @t9 () (|tptp.'==>'| tptp.b tptp.c)) % 0.19/0.48 (define @t10 () (|tptp.'+'| tptp.b @t9)) % 0.19/0.48 (define @t11 () (|tptp.'+'| tptp.a (|tptp.'==>'| tptp.a @t10))) % 0.19/0.48 (define @t12 () (|tptp.'+'| tptp.a (|tptp.'==>'| tptp.a tptp.b))) % 0.19/0.48 (define @t13 () (|tptp.'==>'| @t12 tptp.c)) % 0.19/0.48 (define @t14 () (|tptp.'+'| @t12 @t13)) % 0.19/0.48 (define @t15 () (= @t14 @t11)) % 0.19/0.48 (define @t16 () (|tptp.'==>'| tptp.b tptp.a)) % 0.19/0.48 (define @t17 () (|tptp.'==>'| tptp.c tptp.b)) % 0.19/0.48 (define @t18 () (|tptp.'==>'| @t9 @t16)) % 0.19/0.48 (define @t19 () (|tptp.'+'| @t9 tptp.b)) % 0.19/0.48 (define @t20 () (|tptp.'==>'| @t19 tptp.a)) % 0.19/0.48 (define @t21 () (= @t20 @t18)) % 0.19/0.48 (define @t22 () (= @t18 @t20)) % 0.19/0.48 (define @t23 () (= @t10 @t19)) % 0.19/0.48 (define @t24 () (|tptp.'+'| tptp.b @t16)) % 0.19/0.48 (define @t25 () (= @t12 @t24)) % 0.19/0.48 (define @t26 () (|tptp.'==>'| @t10 tptp.a)) % 0.19/0.48 (define @t27 () (= @t11 (|tptp.'+'| @t10 @t26))) % 0.19/0.48 (define @t28 () (|tptp.'+'| tptp.c @t17)) % 0.19/0.48 (define @t29 () (= @t10 @t28)) % 0.19/0.48 (define @t30 () (|tptp.'+'| @t16 @t13)) % 0.19/0.48 (define @t31 () (|tptp.'+'| tptp.b @t30)) % 0.19/0.48 (define @t32 () (= (|tptp.'+'| @t24 @t13) @t31)) % 0.19/0.48 (define @t33 () (|tptp.'+'| @t16 tptp.b)) % 0.19/0.48 (define @t34 () (= @t24 @t33)) % 0.19/0.48 (define @t35 () (|tptp.'+'| @t17 tptp.c)) % 0.19/0.48 (define @t36 () (= @t28 @t35)) % 0.19/0.48 (define @t37 () (|tptp.'==>'| @t16 @t9)) % 0.19/0.48 (define @t38 () (= (|tptp.'==>'| @t33 tptp.c) @t37)) % 0.19/0.48 (define @t39 () (|tptp.'+'| @t9 @t18)) % 0.19/0.48 (define @t40 () (= (|tptp.'+'| @t16 @t37) @t39)) % 0.19/0.48 (define @t41 () (|tptp.'+'| @t10 @t18)) % 0.19/0.48 (define @t42 () (= @t41 (|tptp.'+'| tptp.b @t39))) % 0.19/0.48 (define @t43 () (and @t23 @t25 @t27 @t29 @t32 @t34 @t36 @t38 @t40 @t42 @t22)) % 0.19/0.48 (assume @p1 (forall @t5 (= (|tptp.'+'| @t4 @t1) (|tptp.'+'| @t3 (|tptp.'+'| @t2 @t1))))) % 0.19/0.48 (assume @p2 (forall @t6 (= @t4 (|tptp.'+'| @t2 @t3)))) % 0.19/0.48 (assume @p3 (forall @t7 (= (|tptp.'+'| @t3 |tptp.'0'|) @t3))) % 0.19/0.48 (assume @p4 (forall @t7 (= (|tptp.'==>'| @t3 @t3) |tptp.'0'|))) % 0.19/0.48 (assume @p5 (forall @t7 (= (|tptp.'==>'| @t3 |tptp.'0'|) |tptp.'0'|))) % 0.19/0.48 (assume @p6 (forall @t7 (= (|tptp.'==>'| |tptp.'0'| @t3) @t3))) % 0.19/0.48 (assume @p7 @t8) % 0.19/0.48 (assume @p8 (forall @t6 (= (|tptp.'+'| @t3 (|tptp.'==>'| @t3 @t2)) (|tptp.'+'| @t2 (|tptp.'==>'| @t2 @t3))))) % 0.19/0.48 (assume @p9 (not @t15)) % 0.19/0.48 (assume @p10 true) % 0.19/0.48 (step @p11 :rule instantiate :premises (@p2) :args ((@list tptp.b @t9))) % 0.19/0.48 (step @p12 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.b))) % 0.19/0.48 (step @p13 :rule instantiate :premises (@p8) :args ((@list tptp.a @t10))) % 0.19/0.48 (step @p14 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.c))) % 0.19/0.48 (step @p15 :rule instantiate :premises (@p1) :args ((@list tptp.b @t16 @t13))) % 0.19/0.48 (step @p16 :rule instantiate :premises (@p2) :args ((@list tptp.b @t16))) % 0.19/0.48 (step @p17 :rule instantiate :premises (@p2) :args ((@list tptp.c @t17))) % 0.19/0.48 (step @p18 :rule instantiate :premises (@p7) :args ((@list @t16 tptp.b tptp.c))) % 0.19/0.48 (step @p19 :rule instantiate :premises (@p8) :args ((@list @t16 @t9))) % 0.19/0.48 (step @p20 :rule instantiate :premises (@p1) :args ((@list tptp.b @t9 @t18))) % 0.19/0.48 (step @p21 :rule eq-symm :args (@t20 @t18)) % 0.19/0.48 (step @p22 :rule refl :args (@t8)) % 0.19/0.48 (step @p23 :rule cong :premises (@p22 @p21) :args ((=> @t8 @t21))) % 0.19/0.48 (assume-push @p86 @t8) % 0.19/0.48 (step @p25 :rule instantiate :premises (@p7) :args ((@list @t9 tptp.b tptp.a))) % 0.19/0.48 (step-pop @p87 :rule scope :premises (@p25)) % 0.19/0.48 (step @p26 :rule process_scope :premises (@p87) :args (@t21)) % 0.19/0.48 (step @p28 :rule eq_resolve :premises (@p26 @p23)) % 0.19/0.48 (step @p29 :rule implies_elim :premises (@p28)) % 0.19/0.48 (step @p30 :rule chain_m_resolution :premises (@p29 @p7) :args (@t22 (@list false) (@list @t8))) % 0.19/0.48 (assume-push @p88 @t23) % 0.19/0.48 (assume-push @p89 @t25) % 0.19/0.48 (assume-push @p90 @t27) % 0.19/0.48 (assume-push @p91 @t29) % 0.19/0.48 (assume-push @p92 @t32) % 0.19/0.48 (assume-push @p93 @t34) % 0.19/0.48 (assume-push @p94 @t36) % 0.19/0.48 (assume-push @p95 @t38) % 0.19/0.48 (assume-push @p96 @t40) % 0.19/0.48 (assume-push @p97 @t42) % 0.19/0.48 (assume-push @p98 @t22) % 0.19/0.48 (step @p42 :rule symm :premises (@p13)) % 0.19/0.48 (step @p43 :rule refl :args (@t26)) % 0.19/0.48 (step @p44 :rule symm :premises (@p14)) % 0.19/0.48 (step @p45 :rule symm :premises (@p17)) % 0.19/0.48 (step @p46 :rule trans :premises (@p45 @p44)) % 0.19/0.48 (step @p47 :rule cong :premises (@p46 @p43) :args ((|tptp.'+'| @t35 @t26))) % 0.19/0.48 (step @p48 :rule refl :args (tptp.a)) % 0.19/0.48 (step @p49 :rule cong :premises (@p46 @p48) :args ((|tptp.'==>'| @t35 tptp.a))) % 0.19/0.48 (step @p50 :rule symm :premises (@p46)) % 0.19/0.48 (step @p51 :rule symm :premises (@p11)) % 0.19/0.48 (step @p52 :rule trans :premises (@p51 @p50)) % 0.19/0.48 (step @p53 :rule cong :premises (@p52 @p48) :args (@t20)) % 0.19/0.48 (step @p54 :rule trans :premises (@p30 @p53 @p49)) % 0.19/0.48 (step @p55 :rule cong :premises (@p50 @p54) :args (@t41)) % 0.19/0.48 (step @p56 :rule symm :premises (@p20)) % 0.19/0.48 (step @p57 :rule refl :args (tptp.c)) % 0.19/0.48 (step @p58 :rule cong :premises (@p16 @p57) :args ((|tptp.'==>'| @t24 tptp.c))) % 0.19/0.48 (step @p59 :rule cong :premises (@p12 @p57) :args (@t13)) % 0.19/0.48 (step @p60 :rule trans :premises (@p59 @p58 @p18)) % 0.19/0.48 (step @p61 :rule refl :args (@t16)) % 0.19/0.48 (step @p62 :rule cong :premises (@p61 @p60) :args (@t30)) % 0.19/0.48 (step @p63 :rule trans :premises (@p62 @p19)) % 0.19/0.48 (step @p64 :rule refl :args (tptp.b)) % 0.19/0.48 (step @p65 :rule cong :premises (@p64 @p63) :args (@t31)) % 0.19/0.48 (step @p66 :rule refl :args (@t13)) % 0.19/0.48 (step @p67 :rule cong :premises (@p12 @p66) :args (@t14)) % 0.19/0.48 (step @p68 :rule trans :premises (@p67 @p15 @p65 @p56 @p55 @p47 @p42)) % 0.19/0.48 (step-pop @p99 :rule scope :premises (@p68)) % 0.19/0.48 (step-pop @p100 :rule scope :premises (@p99)) % 0.19/0.48 (step-pop @p101 :rule scope :premises (@p100)) % 0.19/0.48 (step-pop @p102 :rule scope :premises (@p101)) % 0.19/0.48 (step-pop @p103 :rule scope :premises (@p102)) % 0.19/0.48 (step-pop @p104 :rule scope :premises (@p103)) % 0.19/0.48 (step-pop @p105 :rule scope :premises (@p104)) % 0.19/0.48 (step-pop @p106 :rule scope :premises (@p105)) % 0.19/0.48 (step-pop @p107 :rule scope :premises (@p106)) % 0.19/0.48 (step-pop @p108 :rule scope :premises (@p107)) % 0.19/0.48 (step-pop @p109 :rule scope :premises (@p108)) % 0.19/0.48 (step @p69 :rule process_scope :premises (@p109) :args (@t15)) % 0.19/0.48 (step @p81 :rule implies_elim :premises (@p69)) % 0.19/0.48 (step @p82 :rule cnf_and_neg :args (@t43)) % 0.19/0.48 (step @p83 :rule resolution :premises (@p82 @p81) :args (true @t43)) % 0.19/0.48 (step @p84 :rule reordering :premises (@p83) :args ((or @t15 (not @t23) (not @t25) (not @t27) (not @t29) (not @t32) (not @t34) (not @t36) (not @t38) (not @t40) (not @t42) (not @t22)))) % 0.19/0.48 (step @p85 false :rule chain_m_resolution :premises (@p84 @p30 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p13 @p12 @p11 @p9) :args (false (@list false false false false false false false false false false false true) (@list @t22 @t42 @t40 @t38 @t36 @t34 @t32 @t29 @t27 @t25 @t23 @t15))) % 0.19/0.48 ) % 0.19/0.48 % SZS output end Proof % 0.19/0.48 % cvc5 exiting %------------------------------------------------------------------------------