%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP665-12 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:21:15 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP665-12 : TPTP v9.2.1. Released v8.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n026.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 01:46:10 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.54 % SZS status Unsatisfiable % 0.30/0.54 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.x0 $$unsorted) % 0.30/0.55 (declare-const tptp.x1 $$unsorted) % 0.30/0.55 (declare-const tptp.op_c $$unsorted) % 0.30/0.55 (declare-const tptp.unit $$unsorted) % 0.30/0.55 (declare-const tptp.rd (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.ld (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (define @t1 () (@var "B" $$unsorted)) % 0.30/0.55 (define @t2 () (@var "A" $$unsorted)) % 0.30/0.55 (define @t3 () (@list @t2 @t1)) % 0.30/0.55 (define @t4 () (tptp.mult @t2 @t1)) % 0.30/0.55 (define @t5 () (tptp.rd @t4 @t1)) % 0.30/0.55 (define @t6 () (forall @t3 (= @t5 @t2))) % 0.30/0.55 (define @t7 () (@list @t2)) % 0.30/0.55 (define @t8 () (@var "C" $$unsorted)) % 0.30/0.55 (define @t9 () (tptp.mult @t2 @t8)) % 0.30/0.55 (define @t10 () (tptp.mult @t1 @t8)) % 0.30/0.55 (define @t11 () (@list @t2 @t1 @t8)) % 0.30/0.55 (define @t12 () (forall @t7 (= (tptp.mult tptp.op_c @t2) (tptp.mult @t2 tptp.op_c)))) % 0.30/0.55 (define @t13 () (tptp.mult tptp.x1 tptp.op_c)) % 0.30/0.55 (define @t14 () (tptp.mult tptp.x0 tptp.x1)) % 0.30/0.55 (define @t15 () (tptp.mult @t14 tptp.op_c)) % 0.30/0.55 (define @t16 () (= @t15 (tptp.mult tptp.x0 @t13))) % 0.30/0.55 (define @t17 () (tptp.mult tptp.op_c tptp.x1)) % 0.30/0.55 (define @t18 () (= @t17 @t13)) % 0.30/0.55 (define @t19 () (@list tptp.x1)) % 0.30/0.55 (define @t20 () (= @t13 @t17)) % 0.30/0.55 (define @t21 () (@list false)) % 0.30/0.55 (define @t22 () (@list @t12)) % 0.30/0.55 (define @t23 () (tptp.mult tptp.op_c @t14)) % 0.30/0.55 (define @t24 () (= @t23 @t15)) % 0.30/0.55 (define @t25 () (= @t15 @t23)) % 0.30/0.55 (define @t26 () (tptp.mult tptp.op_c tptp.x0)) % 0.30/0.55 (define @t27 () (tptp.mult tptp.x0 tptp.op_c)) % 0.30/0.55 (define @t28 () (= @t26 @t27)) % 0.30/0.55 (define @t29 () (@list tptp.x0)) % 0.30/0.55 (define @t30 () (= @t27 @t26)) % 0.30/0.55 (define @t31 () (= tptp.x0 (tptp.rd @t27 tptp.op_c))) % 0.30/0.55 (define @t32 () (tptp.rd @t26 tptp.op_c)) % 0.30/0.55 (define @t33 () (tptp.mult @t32 @t17)) % 0.30/0.55 (define @t34 () (= @t23 @t33)) % 0.30/0.55 (define @t35 () (and @t20 @t25 @t31 @t34 @t30)) % 0.30/0.55 (assume @p1 (forall @t3 (= (tptp.mult @t2 (tptp.ld @t2 @t1)) @t1))) % 0.30/0.55 (assume @p2 (forall @t3 (= (tptp.ld @t2 @t4) @t1))) % 0.30/0.55 (assume @p3 (forall @t3 (= (tptp.mult (tptp.rd @t2 @t1) @t1) @t2))) % 0.30/0.55 (assume @p4 @t6) % 0.30/0.55 (assume @p5 (forall @t7 (= (tptp.mult @t2 tptp.unit) @t2))) % 0.30/0.55 (assume @p6 (forall @t7 (= (tptp.mult tptp.unit @t2) @t2))) % 0.30/0.55 (assume @p7 (forall @t11 (= (tptp.mult @t2 @t10) (tptp.mult (tptp.rd @t4 @t2) @t9)))) % 0.30/0.55 (assume @p8 (forall @t11 (= (tptp.mult @t4 @t8) (tptp.mult @t9 (tptp.ld @t8 @t10))))) % 0.30/0.55 (assume @p9 @t12) % 0.30/0.55 (assume @p10 (not @t16)) % 0.30/0.55 (step @p11 :rule eq-symm :args (@t17 @t13)) % 0.30/0.55 (step @p12 :rule refl :args (@t12)) % 0.30/0.55 (step @p13 :rule cong :premises (@p12 @p11) :args ((=> @t12 @t18))) % 0.30/0.55 (assume-push @p66 @t12) % 0.30/0.55 (step @p15 :rule instantiate :premises (@p9) :args (@t19)) % 0.30/0.55 (step-pop @p67 :rule scope :premises (@p15)) % 0.30/0.55 (step @p16 :rule process_scope :premises (@p67) :args (@t18)) % 0.30/0.55 (step @p18 :rule eq_resolve :premises (@p16 @p13)) % 0.30/0.55 (step @p19 :rule implies_elim :premises (@p18)) % 0.30/0.55 (step @p20 :rule chain_m_resolution :premises (@p19 @p9) :args (@t20 @t21 @t22)) % 0.30/0.55 (step @p21 :rule eq-symm :args (@t23 @t15)) % 0.30/0.55 (step @p22 :rule cong :premises (@p12 @p21) :args ((=> @t12 @t24))) % 0.30/0.55 (assume-push @p68 @t12) % 0.30/0.55 (step @p24 :rule instantiate :premises (@p9) :args ((@list @t14))) % 0.30/0.55 (step-pop @p69 :rule scope :premises (@p24)) % 0.30/0.55 (step @p25 :rule process_scope :premises (@p69) :args (@t24)) % 0.30/0.55 (step @p27 :rule eq_resolve :premises (@p25 @p22)) % 0.30/0.55 (step @p28 :rule implies_elim :premises (@p27)) % 0.30/0.55 (step @p29 :rule chain_m_resolution :premises (@p28 @p9) :args (@t25 @t21 @t22)) % 0.30/0.55 (step @p30 :rule eq-symm :args (@t5 @t2)) % 0.30/0.55 (step @p31 :rule cong :premises (@p30) :args (@t6)) % 0.30/0.55 (step @p32 :rule eq_resolve :premises (@p4 @p31)) % 0.30/0.55 (step @p33 :rule instantiate :premises (@p32) :args ((@list tptp.x0 tptp.op_c))) % 0.30/0.55 (step @p34 :rule instantiate :premises (@p7) :args ((@list tptp.op_c tptp.x0 tptp.x1))) % 0.30/0.55 (step @p35 :rule eq-symm :args (@t26 @t27)) % 0.30/0.55 (step @p36 :rule cong :premises (@p12 @p35) :args ((=> @t12 @t28))) % 0.30/0.55 (assume-push @p70 @t12) % 0.30/0.55 (step @p38 :rule instantiate :premises (@p9) :args (@t29)) % 0.30/0.55 (step-pop @p71 :rule scope :premises (@p38)) % 0.30/0.55 (step @p39 :rule process_scope :premises (@p71) :args (@t28)) % 0.30/0.55 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 0.30/0.55 (step @p42 :rule implies_elim :premises (@p41)) % 0.30/0.55 (step @p43 :rule chain_m_resolution :premises (@p42 @p9) :args (@t30 @t21 @t22)) % 0.30/0.55 (assume-push @p72 @t20) % 0.30/0.55 (assume-push @p73 @t25) % 0.30/0.55 (assume-push @p74 @t31) % 0.30/0.55 (assume-push @p75 @t34) % 0.30/0.55 (assume-push @p76 @t30) % 0.30/0.55 (step @p15 :rule instantiate :premises (@p9) :args (@t19)) % 0.30/0.55 (step @p49 :rule symm :premises (@p33)) % 0.30/0.55 (step @p50 :rule refl :args (tptp.op_c)) % 0.30/0.55 (step @p38 :rule instantiate :premises (@p9) :args (@t29)) % 0.30/0.55 (step @p51 :rule cong :premises (@p38 @p50) :args (@t32)) % 0.30/0.55 (step @p52 :rule trans :premises (@p51 @p49)) % 0.30/0.55 (step @p53 :rule cong :premises (@p52 @p15) :args (@t33)) % 0.30/0.55 (step @p54 :rule trans :premises (@p29 @p34 @p53)) % 0.30/0.55 (step-pop @p77 :rule scope :premises (@p54)) % 0.30/0.55 (step-pop @p78 :rule scope :premises (@p77)) % 0.30/0.55 (step-pop @p79 :rule scope :premises (@p78)) % 0.30/0.55 (step-pop @p80 :rule scope :premises (@p79)) % 0.30/0.55 (step-pop @p81 :rule scope :premises (@p80)) % 0.30/0.55 (step @p55 :rule process_scope :premises (@p81) :args (@t16)) % 0.30/0.55 (step @p61 :rule implies_elim :premises (@p55)) % 0.30/0.55 (step @p62 :rule cnf_and_neg :args (@t35)) % 0.30/0.55 (step @p63 :rule resolution :premises (@p62 @p61) :args (true @t35)) % 0.30/0.55 (step @p64 :rule reordering :premises (@p63) :args ((or @t16 (not @t20) (not @t25) (not @t31) (not @t34) (not @t30)))) % 0.30/0.55 (step @p65 false :rule chain_m_resolution :premises (@p64 @p43 @p34 @p33 @p29 @p20 @p10) :args (false (@list false false false false false true) (@list @t30 @t34 @t31 @t25 @t20 @t16))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------