%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP702-12 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:21:20 AM UTC 2026 % Result : Unsatisfiable 0.15s 0.35s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GRP702-12 : TPTP v9.2.1. Released v8.1.0. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.24 % Computer : n024.cluster.edu % 0.06/0.24 % Model : x86_64 x86_64 % 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.24 % Memory : 8042.1875MB % 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.24 % CPULimit : 300 % 0.06/0.24 % WCLimit : 300 % 0.06/0.24 % DateTime : Mon Jun 1 20:53:30 EDT 2026 % 0.06/0.24 % CPUTime : % 0.06/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.06/0.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.35 % SZS status Unsatisfiable % 0.15/0.35 % SZS output start Proof % 0.15/0.35 ( % 0.15/0.35 (declare-sort $$unsorted 0) % 0.15/0.35 (declare-const tptp.x1 $$unsorted) % 0.15/0.35 (declare-const tptp.op_e $$unsorted) % 0.15/0.35 (declare-const tptp.op_d $$unsorted) % 0.15/0.35 (declare-const tptp.op_c $$unsorted) % 0.15/0.35 (declare-const tptp.unit $$unsorted) % 0.15/0.35 (declare-const tptp.op_f $$unsorted) % 0.15/0.35 (declare-const tptp.rd (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.35 (declare-const tptp.x0 $$unsorted) % 0.15/0.35 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.35 (declare-const tptp.ld (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.35 (define @t1 () (@var "B" $$unsorted)) % 0.15/0.35 (define @t2 () (@var "A" $$unsorted)) % 0.15/0.35 (define @t3 () (@list @t2 @t1)) % 0.15/0.35 (define @t4 () (tptp.mult @t2 @t1)) % 0.15/0.35 (define @t5 () (tptp.ld @t2 @t4)) % 0.15/0.35 (define @t6 () (forall @t3 (= @t5 @t1))) % 0.15/0.35 (define @t7 () (tptp.mult (tptp.rd @t2 @t1) @t1)) % 0.15/0.35 (define @t8 () (forall @t3 (= @t7 @t2))) % 0.15/0.35 (define @t9 () (tptp.rd @t4 @t1)) % 0.15/0.35 (define @t10 () (forall @t3 (= @t9 @t2))) % 0.15/0.35 (define @t11 () (tptp.mult @t2 tptp.unit)) % 0.15/0.35 (define @t12 () (@list @t2)) % 0.15/0.35 (define @t13 () (forall @t12 (= @t11 @t2))) % 0.15/0.35 (define @t14 () (@var "C" $$unsorted)) % 0.15/0.35 (define @t15 () (tptp.mult tptp.op_c @t2)) % 0.15/0.35 (define @t16 () (forall @t3 (= (tptp.mult @t2 (tptp.mult tptp.op_c @t1)) (tptp.mult (tptp.mult @t2 tptp.op_c) @t1)))) % 0.15/0.35 (define @t17 () (@list tptp.unit)) % 0.15/0.35 (define @t18 () (tptp.mult tptp.unit tptp.unit)) % 0.15/0.35 (define @t19 () (tptp.mult tptp.unit @t18)) % 0.15/0.35 (define @t20 () (@list tptp.unit tptp.unit)) % 0.15/0.35 (define @t21 () (tptp.mult tptp.unit tptp.op_c)) % 0.15/0.35 (define @t22 () (tptp.mult @t21 tptp.unit)) % 0.15/0.35 (define @t23 () (tptp.mult tptp.op_c tptp.unit)) % 0.15/0.35 (define @t24 () (@list tptp.op_c tptp.unit)) % 0.15/0.35 (define @t25 () (tptp.mult (tptp.mult (tptp.rd tptp.op_c tptp.unit) tptp.unit) tptp.unit)) % 0.15/0.35 (define @t26 () (tptp.mult tptp.x0 tptp.op_c)) % 0.15/0.35 (define @t27 () (tptp.mult @t26 tptp.x1)) % 0.15/0.35 (define @t28 () (tptp.mult tptp.op_c tptp.x1)) % 0.15/0.35 (define @t29 () (tptp.mult tptp.x0 @t28)) % 0.15/0.35 (define @t30 () (= @t29 @t27)) % 0.15/0.35 (assume @p1 (forall @t3 (= (tptp.mult @t2 (tptp.ld @t2 @t1)) @t1))) % 0.15/0.35 (assume @p2 @t6) % 0.15/0.35 (assume @p3 @t8) % 0.15/0.35 (assume @p4 @t10) % 0.15/0.35 (assume @p5 @t13) % 0.15/0.35 (assume @p6 (forall @t12 (= (tptp.mult tptp.unit @t2) @t2))) % 0.15/0.35 (assume @p7 (forall (@list @t2 @t1 @t14) (= (tptp.mult @t2 (tptp.mult @t1 (tptp.mult @t1 @t14))) (tptp.mult (tptp.mult @t4 @t1) @t14)))) % 0.15/0.35 (assume @p8 (forall @t3 (= (tptp.mult tptp.op_c @t4) (tptp.mult @t15 @t1)))) % 0.15/0.35 (assume @p9 (forall @t3 (= (tptp.mult @t2 (tptp.mult @t1 tptp.op_c)) (tptp.mult @t4 tptp.op_c)))) % 0.15/0.35 (assume @p10 @t16) % 0.15/0.35 (assume @p11 (forall @t12 (= tptp.op_d (tptp.ld @t2 @t15)))) % 0.15/0.35 (assume @p12 (forall @t3 (= tptp.op_e (tptp.mult (tptp.mult (tptp.rd tptp.op_c @t4) @t1) @t2)))) % 0.15/0.35 (assume @p13 (forall @t3 (= tptp.op_f (tptp.mult @t2 (tptp.mult @t1 (tptp.ld @t4 tptp.op_c)))))) % 0.15/0.35 (assume @p14 (not (= (tptp.mult tptp.x0 (tptp.mult tptp.op_d tptp.x1)) (tptp.mult (tptp.mult tptp.x0 tptp.op_d) tptp.x1)))) % 0.15/0.35 (step @p15 :rule false_intro :premises (@p14)) % 0.15/0.35 (step @p16 :rule refl :args (tptp.x1)) % 0.15/0.35 (step @p17 :rule instantiate :premises (@p11) :args (@t17)) % 0.15/0.35 (step @p18 :rule symm :premises (@p17)) % 0.15/0.35 (step @p19 :rule eq-symm :args (@t11 @t2)) % 0.15/0.35 (step @p20 :rule cong :premises (@p19) :args (@t13)) % 0.15/0.35 (step @p21 :rule eq_resolve :premises (@p5 @p20)) % 0.15/0.35 (step @p22 :rule instantiate :premises (@p21) :args (@t17)) % 0.15/0.35 (step @p23 :rule symm :premises (@p22)) % 0.15/0.35 (step @p24 :rule refl :args (tptp.unit)) % 0.15/0.35 (step @p25 :rule cong :premises (@p24 @p23) :args (@t19)) % 0.15/0.35 (step @p26 :rule trans :premises (@p25 @p23)) % 0.15/0.35 (step @p27 :rule eq-symm :args (@t5 @t1)) % 0.15/0.35 (step @p28 :rule cong :premises (@p27) :args (@t6)) % 0.15/0.35 (step @p29 :rule eq_resolve :premises (@p2 @p28)) % 0.15/0.35 (step @p30 :rule instantiate :premises (@p29) :args ((@list @t18 tptp.op_c))) % 0.15/0.35 (step @p31 :rule symm :premises (@p30)) % 0.15/0.35 (step @p32 :rule instantiate :premises (@p9) :args (@t20)) % 0.15/0.35 (step @p33 :rule cong :premises (@p22 @p32) :args ((tptp.ld tptp.unit (tptp.mult tptp.unit @t21)))) % 0.15/0.35 (step @p34 :rule instantiate :premises (@p29) :args ((@list tptp.unit @t21))) % 0.15/0.35 (step @p35 :rule trans :premises (@p34 @p33 @p31)) % 0.15/0.35 (step @p36 :rule cong :premises (@p35 @p26) :args ((tptp.mult @t21 @t19))) % 0.15/0.35 (step @p37 :rule symm :premises (@p26)) % 0.15/0.35 (step @p38 :rule refl :args (@t21)) % 0.15/0.35 (step @p39 :rule cong :premises (@p38 @p37) :args (@t22)) % 0.15/0.35 (step @p40 :rule instantiate :premises (@p10) :args (@t20)) % 0.15/0.35 (step @p41 :rule trans :premises (@p40 @p39 @p36)) % 0.15/0.35 (step @p42 :rule cong :premises (@p24 @p41) :args ((tptp.ld tptp.unit (tptp.mult tptp.unit @t23)))) % 0.15/0.35 (step @p43 :rule instantiate :premises (@p29) :args ((@list tptp.unit @t23))) % 0.15/0.35 (step @p44 :rule trans :premises (@p43 @p42 @p18)) % 0.15/0.35 (step @p45 :rule refl :args (tptp.op_c)) % 0.15/0.35 (step @p46 :rule cong :premises (@p45 @p23) :args ((tptp.mult tptp.op_c @t18))) % 0.15/0.35 (step @p47 :rule instantiate :premises (@p8) :args (@t20)) % 0.15/0.35 (step @p48 :rule symm :premises (@p47)) % 0.15/0.35 (step @p49 :rule eq-symm :args (@t7 @t2)) % 0.15/0.35 (step @p50 :rule cong :premises (@p49) :args (@t8)) % 0.15/0.35 (step @p51 :rule eq_resolve :premises (@p3 @p50)) % 0.15/0.35 (step @p52 :rule instantiate :premises (@p51) :args (@t24)) % 0.15/0.35 (step @p53 :rule symm :premises (@p52)) % 0.15/0.35 (step @p54 :rule cong :premises (@p53 @p24) :args (@t25)) % 0.15/0.35 (step @p55 :rule cong :premises (@p54 @p24) :args ((tptp.mult @t25 tptp.unit))) % 0.15/0.35 (step @p56 :rule symm :premises (@p54)) % 0.15/0.35 (step @p57 :rule trans :premises (@p39 @p36)) % 0.15/0.35 (step @p58 :rule trans :premises (@p57 @p56)) % 0.15/0.35 (step @p59 :rule cong :premises (@p58 @p24) :args ((tptp.mult @t22 tptp.unit))) % 0.15/0.35 (step @p60 :rule trans :premises (@p59 @p55 @p48 @p46)) % 0.15/0.35 (step @p61 :rule symm :premises (@p59)) % 0.15/0.35 (step @p62 :rule symm :premises (@p55)) % 0.15/0.35 (step @p63 :rule symm :premises (@p46)) % 0.15/0.35 (step @p64 :rule eq-symm :args (@t9 @t2)) % 0.15/0.35 (step @p65 :rule cong :premises (@p64) :args (@t10)) % 0.15/0.35 (step @p66 :rule eq_resolve :premises (@p4 @p65)) % 0.15/0.35 (step @p67 :rule instantiate :premises (@p66) :args ((@list @t23 tptp.unit))) % 0.15/0.35 (step @p68 :rule symm :premises (@p67)) % 0.15/0.35 (step @p69 :rule trans :premises (@p63 @p47)) % 0.15/0.35 (step @p70 :rule cong :premises (@p69 @p24) :args ((tptp.rd @t23 tptp.unit))) % 0.15/0.35 (step @p71 :rule instantiate :premises (@p66) :args (@t24)) % 0.15/0.35 (step @p72 :rule trans :premises (@p71 @p70 @p68 @p63 @p47 @p62 @p61)) % 0.15/0.35 (step @p73 :rule trans :premises (@p72 @p60 @p44)) % 0.15/0.35 (step @p74 :rule refl :args (tptp.x0)) % 0.15/0.35 (step @p75 :rule cong :premises (@p74 @p73) :args (@t26)) % 0.15/0.35 (step @p76 :rule cong :premises (@p75 @p16) :args (@t27)) % 0.15/0.35 (step @p77 :rule cong :premises (@p73 @p16) :args (@t28)) % 0.15/0.35 (step @p78 :rule cong :premises (@p74 @p77) :args (@t29)) % 0.15/0.35 (step @p79 :rule cong :premises (@p78 @p76) :args (@t30)) % 0.15/0.35 (step @p80 :rule trans :premises (@p79 @p15)) % 0.15/0.35 (step @p81 :rule false_elim :premises (@p80)) % 0.15/0.35 (assume-push @p88 @t16) % 0.15/0.35 (step @p83 :rule instantiate :premises (@p10) :args ((@list tptp.x0 tptp.x1))) % 0.15/0.35 (step-pop @p89 :rule scope :premises (@p83)) % 0.15/0.35 (step @p84 :rule process_scope :premises (@p89) :args (@t30)) % 0.15/0.35 (step @p86 :rule implies_elim :premises (@p84)) % 0.15/0.35 (step @p87 false :rule chain_m_resolution :premises (@p86 @p81 @p10) :args (false (@list true false) (@list @t30 @t16))) % 0.15/0.35 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------