%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG235-1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:05:37 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ALG235-1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n011.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 01:51:20 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Unsatisfiable % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.a $$unsorted) % 0.38/0.56 (declare-const tptp.b $$unsorted) % 0.38/0.56 (declare-const tptp.d $$unsorted) % 0.38/0.56 (declare-const tptp.c $$unsorted) % 0.38/0.56 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t3 () (tptp.mult @t2 @t1)) % 0.38/0.56 (define @t4 () (tptp.mult @t2 (tptp.mult @t1 @t3))) % 0.38/0.56 (define @t5 () (forall (@list @t2 @t1) (= @t4 @t3))) % 0.38/0.56 (define @t6 () (@var "D" $$unsorted)) % 0.38/0.56 (define @t7 () (@var "C" $$unsorted)) % 0.38/0.56 (define @t8 () (@list @t2 @t1 @t7 @t6)) % 0.38/0.56 (define @t9 () (tptp.mult @t7 @t1)) % 0.38/0.56 (define @t10 () (tptp.mult tptp.d tptp.c)) % 0.38/0.56 (define @t11 () (tptp.mult tptp.a (tptp.mult tptp.b @t10))) % 0.38/0.56 (define @t12 () (tptp.mult tptp.a (tptp.mult tptp.c @t10))) % 0.38/0.56 (define @t13 () (= (tptp.mult tptp.a (tptp.mult tptp.b @t12)) @t11)) % 0.38/0.56 (define @t14 () (not @t13)) % 0.38/0.56 (define @t15 () (tptp.mult tptp.a tptp.c)) % 0.38/0.56 (define @t16 () (tptp.mult tptp.c @t15)) % 0.38/0.56 (define @t17 () (tptp.mult tptp.a @t16)) % 0.38/0.56 (define @t18 () (tptp.mult tptp.b @t17)) % 0.38/0.56 (define @t19 () (tptp.mult tptp.d @t18)) % 0.38/0.56 (define @t20 () (tptp.mult tptp.d @t16)) % 0.38/0.56 (define @t21 () (tptp.mult tptp.b @t20)) % 0.38/0.56 (define @t22 () (tptp.mult tptp.a @t21)) % 0.38/0.56 (define @t23 () (= @t22 @t19)) % 0.38/0.56 (define @t24 () (not @t23)) % 0.38/0.56 (define @t25 () (= @t15 @t17)) % 0.38/0.56 (define @t26 () (not @t25)) % 0.38/0.56 (define @t27 () (= @t12 @t20)) % 0.38/0.56 (define @t28 () (not @t27)) % 0.38/0.56 (define @t29 () (= @t11 (tptp.mult tptp.d (tptp.mult tptp.b @t15)))) % 0.38/0.56 (define @t30 () (not @t29)) % 0.38/0.56 (define @t31 () (and @t14 @t29 @t27 @t25)) % 0.38/0.56 (assume @p1 @t5) % 0.38/0.56 (assume @p2 (forall @t8 (= (tptp.mult @t2 (tptp.mult @t1 (tptp.mult @t7 @t6))) (tptp.mult @t7 (tptp.mult @t1 (tptp.mult @t2 @t6)))))) % 0.38/0.56 (assume @p3 (forall @t8 (= (tptp.mult (tptp.mult @t2 (tptp.mult @t1 @t9)) @t6) (tptp.mult @t2 (tptp.mult @t6 (tptp.mult @t9 @t6)))))) % 0.38/0.56 (assume @p4 @t14) % 0.38/0.56 (step @p5 :rule instantiate :premises (@p2) :args ((@list tptp.a tptp.b tptp.d tptp.c))) % 0.38/0.56 (step @p6 :rule instantiate :premises (@p2) :args ((@list tptp.a tptp.c tptp.d tptp.c))) % 0.38/0.56 (step @p7 :rule eq-symm :args (@t4 @t3)) % 0.38/0.56 (step @p8 :rule cong :premises (@p7) :args (@t5)) % 0.38/0.56 (step @p9 :rule eq_resolve :premises (@p1 @p8)) % 0.38/0.56 (step @p10 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.c))) % 0.38/0.56 (step @p11 :rule instantiate :premises (@p2) :args ((@list tptp.a tptp.b tptp.d @t16))) % 0.38/0.56 (step @p12 :rule refl :args (@t24)) % 0.38/0.56 (step @p13 :rule refl :args (@t26)) % 0.38/0.56 (step @p14 :rule refl :args (@t28)) % 0.38/0.56 (step @p15 :rule refl :args (@t30)) % 0.38/0.56 (step @p16 :rule bool-double-not-elim :args (@t13)) % 0.38/0.56 (step @p17 :rule nary_cong :premises (@p16 @p15 @p14 @p13 @p12) :args ((or (not @t14) @t30 @t28 @t26 @t24))) % 0.38/0.56 (assume-push @p47 @t14) % 0.38/0.56 (assume-push @p48 @t29) % 0.38/0.56 (assume-push @p49 @t27) % 0.38/0.56 (assume-push @p50 @t25) % 0.38/0.56 (step @p22 :rule false_intro :premises (@p4)) % 0.38/0.56 (step @p23 :rule symm :premises (@p5)) % 0.38/0.56 (step @p24 :rule symm :premises (@p10)) % 0.38/0.56 (step @p25 :rule refl :args (tptp.b)) % 0.38/0.56 (step @p26 :rule cong :premises (@p25 @p24) :args (@t18)) % 0.38/0.56 (step @p27 :rule refl :args (tptp.d)) % 0.38/0.56 (step @p28 :rule cong :premises (@p27 @p26) :args (@t19)) % 0.38/0.56 (step @p29 :rule trans :premises (@p28 @p23)) % 0.38/0.56 (step @p30 :rule symm :premises (@p6)) % 0.38/0.56 (step @p31 :rule cong :premises (@p25 @p30) :args (@t21)) % 0.38/0.56 (step @p32 :rule refl :args (tptp.a)) % 0.38/0.56 (step @p33 :rule cong :premises (@p32 @p31) :args (@t22)) % 0.38/0.56 (step @p34 :rule cong :premises (@p33 @p29) :args (@t23)) % 0.38/0.56 (step @p35 :rule trans :premises (@p34 @p22)) % 0.38/0.56 (step @p36 :rule false_elim :premises (@p35)) % 0.38/0.56 (step-pop @p51 :rule scope :premises (@p36)) % 0.38/0.56 (step-pop @p52 :rule scope :premises (@p51)) % 0.38/0.56 (step-pop @p53 :rule scope :premises (@p52)) % 0.38/0.56 (step-pop @p54 :rule scope :premises (@p53)) % 0.38/0.56 (step @p37 :rule process_scope :premises (@p54) :args (@t24)) % 0.38/0.56 (step @p42 :rule implies_elim :premises (@p37)) % 0.38/0.56 (step @p43 :rule cnf_and_neg :args (@t31)) % 0.38/0.56 (step @p44 :rule resolution :premises (@p43 @p42) :args (true @t31)) % 0.38/0.56 (step @p45 :rule eq_resolve :premises (@p44 @p17)) % 0.38/0.56 (step @p46 false :rule chain_m_resolution :premises (@p45 @p11 @p10 @p6 @p5 @p4) :args (false (@list false false false false true) (@list @t23 @t25 @t27 @t29 @t13))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------