%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG245-1 : 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 : n023.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 08:05:38 AM UTC 2026 % Result : Unsatisfiable 28.34s 28.51s % Output : Proof 28.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG245-1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.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 01:53:43 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.57 --- Run --no-e-matching --full-saturate-quant at 6... % 21.33/21.59 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.45/27.62 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.34/28.51 % SZS status Unsatisfiable % 28.34/28.51 % SZS output start Proof % 28.34/28.51 ( % 28.34/28.51 (declare-sort $$unsorted 0) % 28.34/28.51 (declare-const tptp.a $$unsorted) % 28.34/28.51 (declare-const tptp.b $$unsorted) % 28.34/28.51 (declare-const tptp.c $$unsorted) % 28.34/28.51 (declare-const tptp.d $$unsorted) % 28.34/28.51 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 28.34/28.51 (define @t1 () (@var "C" $$unsorted)) % 28.34/28.51 (define @t2 () (@var "A" $$unsorted)) % 28.34/28.51 (define @t3 () (tptp.mult @t2 @t1)) % 28.34/28.51 (define @t4 () (@var "B" $$unsorted)) % 28.34/28.51 (define @t5 () (tptp.mult @t2 @t4)) % 28.34/28.51 (define @t6 () (tptp.mult @t4 @t1)) % 28.34/28.51 (define @t7 () (@list @t2 @t4 @t1)) % 28.34/28.51 (define @t8 () (@var "D" $$unsorted)) % 28.34/28.51 (define @t9 () (tptp.mult @t3 (tptp.mult @t4 @t8))) % 28.34/28.51 (define @t10 () (tptp.mult @t5 (tptp.mult @t1 @t8))) % 28.34/28.51 (define @t11 () (tptp.mult @t10 @t9)) % 28.34/28.51 (define @t12 () (tptp.mult @t10 @t11)) % 28.34/28.51 (define @t13 () (@list @t2 @t4 @t1 @t8)) % 28.34/28.51 (define @t14 () (forall @t13 (= @t12 @t9))) % 28.34/28.51 (define @t15 () (tptp.mult @t11 @t9)) % 28.34/28.51 (define @t16 () (forall @t13 (= @t15 @t10))) % 28.34/28.51 (define @t17 () (tptp.mult @t2 @t2)) % 28.34/28.51 (define @t18 () (forall (@list @t2) (= @t17 @t2))) % 28.34/28.51 (define @t19 () (tptp.mult (tptp.mult tptp.a tptp.b) (tptp.mult tptp.c tptp.d))) % 28.34/28.51 (define @t20 () (tptp.mult tptp.a tptp.c)) % 28.34/28.51 (define @t21 () (tptp.mult @t20 (tptp.mult tptp.b tptp.d))) % 28.34/28.51 (define @t22 () (tptp.mult @t21 @t19)) % 28.34/28.51 (define @t23 () (tptp.mult @t19 @t21)) % 28.34/28.51 (define @t24 () (= @t23 @t22)) % 28.34/28.51 (define @t25 () (tptp.mult @t20 tptp.d)) % 28.34/28.51 (define @t26 () (@list tptp.a tptp.b tptp.c tptp.d)) % 28.34/28.51 (define @t27 () (tptp.mult @t20 tptp.b)) % 28.34/28.51 (define @t28 () (tptp.mult @t27 @t25)) % 28.34/28.51 (define @t29 () (= @t21 @t28)) % 28.34/28.51 (define @t30 () (tptp.mult @t21 @t22)) % 28.34/28.51 (define @t31 () (= @t19 @t30)) % 28.34/28.51 (define @t32 () (tptp.mult @t25 @t25)) % 28.34/28.51 (define @t33 () (= @t25 @t32)) % 28.34/28.51 (define @t34 () (tptp.mult @t23 @t21)) % 28.34/28.51 (define @t35 () (= @t19 @t34)) % 28.34/28.51 (define @t36 () (tptp.mult @t19 @t23)) % 28.34/28.51 (define @t37 () (= @t21 @t36)) % 28.34/28.51 (define @t38 () (tptp.mult @t28 @t22)) % 28.34/28.51 (define @t39 () (tptp.mult @t38 @t30)) % 28.34/28.51 (define @t40 () (tptp.mult @t28 @t21)) % 28.34/28.51 (define @t41 () (= (tptp.mult @t40 @t22) @t39)) % 28.34/28.51 (define @t42 () (tptp.mult @t28 @t28)) % 28.34/28.51 (define @t43 () (= (tptp.mult @t27 @t32) @t42)) % 28.34/28.51 (define @t44 () (tptp.mult @t23 @t34)) % 28.34/28.51 (define @t45 () (= (tptp.mult @t36 @t21) @t44)) % 28.34/28.51 (define @t46 () (tptp.mult @t36 @t19)) % 28.34/28.51 (define @t47 () (= @t46 (tptp.mult (tptp.mult @t19 @t19) (tptp.mult @t23 @t19)))) % 28.34/28.51 (define @t48 () (and @t29 @t31 @t33 @t35 @t37 @t41 @t43 @t45 @t47)) % 28.34/28.51 (assume @p1 (forall @t7 (= (tptp.mult @t2 @t6) (tptp.mult @t5 @t3)))) % 28.34/28.51 (assume @p2 (forall @t7 (= (tptp.mult @t5 @t1) (tptp.mult @t3 @t6)))) % 28.34/28.51 (assume @p3 @t14) % 28.34/28.51 (assume @p4 @t16) % 28.34/28.51 (assume @p5 @t18) % 28.34/28.51 (assume @p6 (not @t24)) % 28.34/28.51 (step @p7 :rule instantiate :premises (@p1) :args ((@list @t20 tptp.b tptp.d))) % 28.34/28.51 (step @p8 :rule eq-symm :args (@t12 @t9)) % 28.34/28.51 (step @p9 :rule cong :premises (@p8) :args (@t14)) % 28.34/28.51 (step @p10 :rule eq_resolve :premises (@p3 @p9)) % 28.34/28.51 (step @p11 :rule instantiate :premises (@p10) :args ((@list tptp.a tptp.c tptp.b tptp.d))) % 28.34/28.51 (step @p12 :rule eq-symm :args (@t17 @t2)) % 28.34/28.51 (step @p13 :rule cong :premises (@p12) :args (@t18)) % 28.34/28.51 (step @p14 :rule eq_resolve :premises (@p5 @p13)) % 28.34/28.51 (step @p15 :rule instantiate :premises (@p14) :args ((@list @t25))) % 28.34/28.51 (step @p16 :rule eq-symm :args (@t15 @t10)) % 28.34/28.51 (step @p17 :rule cong :premises (@p16) :args (@t16)) % 28.34/28.51 (step @p18 :rule eq_resolve :premises (@p4 @p17)) % 28.34/28.51 (step @p19 :rule instantiate :premises (@p18) :args (@t26)) % 28.34/28.51 (step @p20 :rule instantiate :premises (@p10) :args (@t26)) % 28.34/28.51 (step @p21 :rule instantiate :premises (@p2) :args ((@list @t28 @t21 @t22))) % 28.34/28.51 (step @p22 :rule instantiate :premises (@p1) :args ((@list @t27 @t25 @t25))) % 28.34/28.51 (step @p23 :rule instantiate :premises (@p2) :args ((@list @t19 @t23 @t21))) % 28.34/28.51 (step @p24 :rule instantiate :premises (@p2) :args ((@list @t19 @t23 @t19))) % 28.34/28.51 (assume-push @p75 @t29) % 28.34/28.51 (assume-push @p76 @t31) % 28.34/28.51 (assume-push @p77 @t33) % 28.34/28.51 (assume-push @p78 @t35) % 28.34/28.51 (assume-push @p79 @t37) % 28.34/28.51 (assume-push @p80 @t41) % 28.34/28.51 (assume-push @p81 @t43) % 28.34/28.51 (assume-push @p82 @t45) % 28.34/28.51 (assume-push @p83 @t47) % 28.34/28.51 (step @p34 :rule refl :args (@t19)) % 28.34/28.51 (step @p35 :rule symm :premises (@p20)) % 28.34/28.51 (step @p36 :rule cong :premises (@p35 @p34) :args (@t46)) % 28.34/28.51 (step @p37 :rule symm :premises (@p24)) % 28.34/28.51 (step @p38 :rule symm :premises (@p19)) % 28.34/28.51 (step @p39 :rule refl :args (@t23)) % 28.34/28.51 (step @p40 :rule cong :premises (@p39 @p38) :args (@t44)) % 28.34/28.51 (step @p41 :rule refl :args (@t21)) % 28.34/28.51 (step @p42 :rule symm :premises (@p7)) % 28.34/28.51 (step @p43 :rule trans :premises (@p42 @p20)) % 28.34/28.51 (step @p44 :rule cong :premises (@p43 @p41) :args (@t40)) % 28.34/28.51 (step @p45 :rule refl :args (@t28)) % 28.34/28.51 (step @p46 :rule cong :premises (@p45 @p42) :args (@t42)) % 28.34/28.51 (step @p47 :rule refl :args (@t27)) % 28.34/28.51 (step @p48 :rule cong :premises (@p47 @p15) :args (@t28)) % 28.34/28.51 (step @p49 :rule trans :premises (@p7 @p48 @p22 @p46 @p44 @p23 @p40)) % 28.34/28.51 (step @p50 :rule symm :premises (@p11)) % 28.34/28.51 (step @p51 :rule refl :args (@t22)) % 28.34/28.51 (step @p52 :rule cong :premises (@p42 @p51) :args (@t38)) % 28.34/28.51 (step @p53 :rule trans :premises (@p52 @p50)) % 28.34/28.51 (step @p54 :rule cong :premises (@p53 @p50) :args (@t39)) % 28.34/28.51 (step @p55 :rule trans :premises (@p7 @p48 @p22 @p46)) % 28.34/28.51 (step @p56 :rule cong :premises (@p55 @p51) :args (@t30)) % 28.34/28.51 (step @p57 :rule trans :premises (@p11 @p56 @p21 @p54)) % 28.34/28.51 (step @p58 :rule cong :premises (@p57 @p49) :args (@t23)) % 28.34/28.51 (step @p59 :rule trans :premises (@p58 @p37 @p36)) % 28.34/28.51 (step-pop @p84 :rule scope :premises (@p59)) % 28.34/28.51 (step-pop @p85 :rule scope :premises (@p84)) % 28.34/28.51 (step-pop @p86 :rule scope :premises (@p85)) % 28.34/28.51 (step-pop @p87 :rule scope :premises (@p86)) % 28.34/28.51 (step-pop @p88 :rule scope :premises (@p87)) % 28.34/28.51 (step-pop @p89 :rule scope :premises (@p88)) % 28.34/28.51 (step-pop @p90 :rule scope :premises (@p89)) % 28.34/28.51 (step-pop @p91 :rule scope :premises (@p90)) % 28.34/28.51 (step-pop @p92 :rule scope :premises (@p91)) % 28.34/28.51 (step @p60 :rule process_scope :premises (@p92) :args (@t24)) % 28.34/28.51 (step @p70 :rule implies_elim :premises (@p60)) % 28.34/28.51 (step @p71 :rule cnf_and_neg :args (@t48)) % 28.34/28.51 (step @p72 :rule resolution :premises (@p71 @p70) :args (true @t48)) % 28.34/28.51 (step @p73 :rule reordering :premises (@p72) :args ((or @t24 (not @t29) (not @t31) (not @t33) (not @t35) (not @t37) (not @t41) (not @t43) (not @t45) (not @t47)))) % 28.34/28.51 (step @p74 false :rule chain_m_resolution :premises (@p73 @p24 @p23 @p22 @p21 @p20 @p19 @p15 @p11 @p7 @p6) :args (false (@list false false false false false false false false false true) (@list @t47 @t45 @t43 @t41 @t37 @t35 @t33 @t31 @t29 @t24))) % 28.34/28.51 ) % 28.34/28.51 % SZS output end Proof % 28.34/28.51 % cvc5 exiting %------------------------------------------------------------------------------