%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP482-1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:20:47 AM UTC 2026 % Result : Unsatisfiable 0.64s 0.82s % Output : Proof 0.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP482-1 : TPTP v9.2.1. Released v2.6.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 01:09:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.64/0.82 % SZS status Unsatisfiable % 0.64/0.82 % SZS output start Proof % 0.64/0.82 ( % 0.64/0.82 (declare-sort $$unsorted 0) % 0.64/0.82 (declare-const tptp.a2 $$unsorted) % 0.64/0.82 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.64/0.82 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.82 (declare-const tptp.double_divide (-> $$unsorted $$unsorted $$unsorted)) % 0.64/0.82 (declare-const tptp.identity $$unsorted) % 0.64/0.82 (define @t1 () (@var "C" $$unsorted)) % 0.64/0.82 (define @t2 () (@var "B" $$unsorted)) % 0.64/0.82 (define @t3 () (@var "A" $$unsorted)) % 0.64/0.82 (define @t4 () (tptp.double_divide @t3 tptp.identity)) % 0.64/0.82 (define @t5 () (@var "D" $$unsorted)) % 0.64/0.82 (define @t6 () (tptp.double_divide (tptp.double_divide (tptp.double_divide @t3 (tptp.double_divide @t2 tptp.identity)) (tptp.double_divide (tptp.double_divide @t1 (tptp.double_divide @t5 (tptp.double_divide @t5 tptp.identity))) @t4)) @t2)) % 0.64/0.82 (define @t7 () (@list @t3 @t2 @t1 @t5)) % 0.64/0.82 (define @t8 () (forall @t7 (= @t6 @t1))) % 0.64/0.82 (define @t9 () (tptp.inverse @t3)) % 0.64/0.82 (define @t10 () (@list @t3)) % 0.64/0.82 (define @t11 () (forall @t10 (= @t9 @t4))) % 0.64/0.82 (define @t12 () (tptp.double_divide tptp.a2 tptp.identity)) % 0.64/0.82 (define @t13 () (tptp.double_divide @t12 tptp.identity)) % 0.64/0.82 (define @t14 () (tptp.double_divide @t13 tptp.identity)) % 0.64/0.82 (define @t15 () (tptp.double_divide @t14 tptp.identity)) % 0.64/0.82 (define @t16 () (tptp.double_divide @t15 tptp.identity)) % 0.64/0.82 (define @t17 () (tptp.double_divide @t16 tptp.identity)) % 0.64/0.82 (define @t18 () (tptp.double_divide @t17 (tptp.double_divide @t17 tptp.identity))) % 0.64/0.82 (define @t19 () (tptp.double_divide @t13 @t18)) % 0.64/0.82 (define @t20 () (tptp.double_divide @t19 @t13)) % 0.64/0.82 (define @t21 () (tptp.double_divide @t12 @t12)) % 0.64/0.82 (define @t22 () (tptp.double_divide @t21 @t20)) % 0.64/0.82 (define @t23 () (tptp.double_divide @t22 tptp.a2)) % 0.64/0.82 (define @t24 () (= @t13 @t23)) % 0.64/0.82 (define @t25 () (= @t23 @t13)) % 0.64/0.82 (define @t26 () (@list @t12)) % 0.64/0.82 (define @t27 () (@list @t15)) % 0.64/0.82 (define @t28 () (tptp.double_divide @t12 @t13)) % 0.64/0.82 (define @t29 () (tptp.double_divide @t14 @t15)) % 0.64/0.82 (define @t30 () (@list @t14)) % 0.64/0.82 (define @t31 () (tptp.double_divide @t14 (tptp.inverse @t14))) % 0.64/0.82 (define @t32 () (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.inverse tptp.a2)) tptp.identity)) % 0.64/0.82 (define @t33 () (tptp.double_divide tptp.a2 @t28)) % 0.64/0.82 (define @t34 () (tptp.double_divide @t33 @t13)) % 0.64/0.82 (define @t35 () (tptp.double_divide @t28 @t34)) % 0.64/0.82 (define @t36 () (@list @t35)) % 0.64/0.82 (define @t37 () (@list @t16)) % 0.64/0.82 (define @t38 () (@list @t17)) % 0.64/0.82 (define @t39 () (forall @t7 (= @t1 @t6))) % 0.64/0.82 (assume @p1 @t8) % 0.64/0.82 (assume @p2 (forall (@list @t3 @t2) (= (tptp.multiply @t3 @t2) (tptp.double_divide (tptp.double_divide @t2 @t3) tptp.identity)))) % 0.64/0.82 (assume @p3 @t11) % 0.64/0.82 (assume @p4 (forall @t10 (= tptp.identity (tptp.double_divide @t3 @t9)))) % 0.64/0.82 (assume @p5 (not (= (tptp.multiply tptp.identity tptp.a2) tptp.a2))) % 0.64/0.82 (step @p6 :rule eq-symm :args (@t6 @t1)) % 0.64/0.82 (step @p7 :rule cong :premises (@p6) :args (@t8)) % 0.64/0.82 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.64/0.82 (step @p9 :rule bool-eq-false :args (@t24)) % 0.64/0.82 (step @p10 :rule symm :premises (@p9)) % 0.64/0.82 (step @p11 :rule eq-symm :args (@t23 @t13)) % 0.64/0.82 (step @p12 :rule cong :premises (@p11) :args ((not @t25))) % 0.64/0.82 (step @p13 :rule bool-eq-false :args (@t25)) % 0.64/0.82 (step @p14 :rule trans :premises (@p13 @p12)) % 0.64/0.82 (step @p15 :rule trans :premises (@p14 @p10)) % 0.64/0.82 (step @p16 :rule symm :premises (@p5)) % 0.64/0.82 (step @p17 :rule false_intro :premises (@p16)) % 0.64/0.82 (step @p18 :rule instantiate :premises (@p2) :args ((@list tptp.identity tptp.a2))) % 0.64/0.82 (step @p19 :rule symm :premises (@p18)) % 0.64/0.82 (step @p20 :rule instantiate :premises (@p8) :args ((@list @t12 tptp.a2 tptp.a2 @t15))) % 0.64/0.82 (step @p21 :rule symm :premises (@p20)) % 0.64/0.82 (step @p22 :rule refl :args (tptp.a2)) % 0.64/0.82 (step @p23 :rule eq-symm :args (@t9 @t4)) % 0.64/0.82 (step @p24 :rule cong :premises (@p23) :args (@t11)) % 0.64/0.82 (step @p25 :rule eq_resolve :premises (@p3 @p24)) % 0.64/0.82 (step @p26 :rule instantiate :premises (@p25) :args (@t26)) % 0.64/0.82 (step @p27 :rule symm :premises (@p26)) % 0.64/0.82 (step @p28 :rule instantiate :premises (@p25) :args (@t27)) % 0.64/0.82 (step @p29 :rule symm :premises (@p28)) % 0.64/0.82 (step @p30 :rule refl :args (@t15)) % 0.64/0.82 (step @p31 :rule cong :premises (@p30 @p29) :args ((tptp.double_divide @t15 (tptp.inverse @t15)))) % 0.64/0.82 (step @p32 :rule instantiate :premises (@p4) :args (@t27)) % 0.64/0.82 (step @p33 :rule trans :premises (@p32 @p31)) % 0.64/0.82 (step @p34 :rule cong :premises (@p22 @p33) :args (@t12)) % 0.64/0.82 (step @p35 :rule cong :premises (@p34 @p27) :args ((tptp.double_divide @t12 (tptp.inverse @t12)))) % 0.64/0.82 (step @p36 :rule instantiate :premises (@p4) :args (@t26)) % 0.64/0.82 (step @p37 :rule trans :premises (@p36 @p35)) % 0.64/0.82 (step @p38 :rule refl :args (@t21)) % 0.64/0.82 (step @p39 :rule cong :premises (@p38 @p37) :args ((tptp.double_divide @t21 tptp.identity))) % 0.64/0.82 (step @p40 :rule symm :premises (@p36)) % 0.64/0.82 (step @p41 :rule refl :args (@t12)) % 0.64/0.82 (step @p42 :rule cong :premises (@p41 @p26) :args (@t28)) % 0.64/0.82 (step @p43 :rule instantiate :premises (@p8) :args ((@list (tptp.double_divide @t29 (tptp.double_divide (tptp.double_divide @t13 @t29) @t15)) @t13 @t28 @t16))) % 0.64/0.82 (step @p44 :rule symm :premises (@p43)) % 0.64/0.82 (step @p45 :rule refl :args (@t13)) % 0.64/0.82 (step @p46 :rule refl :args (tptp.identity)) % 0.64/0.82 (step @p47 :rule instantiate :premises (@p25) :args (@t30)) % 0.64/0.82 (step @p48 :rule symm :premises (@p47)) % 0.64/0.82 (step @p49 :rule refl :args (@t14)) % 0.64/0.82 (step @p50 :rule cong :premises (@p49 @p48) :args (@t31)) % 0.64/0.82 (step @p51 :rule instantiate :premises (@p4) :args (@t30)) % 0.64/0.82 (step @p52 :rule trans :premises (@p51 @p50)) % 0.64/0.82 (step @p53 :rule cong :premises (@p45 @p52) :args (@t14)) % 0.64/0.82 (step @p54 :rule cong :premises (@p53 @p48) :args (@t31)) % 0.64/0.82 (step @p55 :rule trans :premises (@p51 @p54)) % 0.64/0.82 (step @p56 :rule trans :premises (@p42 @p40 @p51 @p50)) % 0.64/0.82 (step @p57 :rule symm :premises (@p42)) % 0.64/0.82 (step @p58 :rule instantiate :premises (@p4) :args ((@list tptp.a2))) % 0.64/0.82 (step @p59 :rule symm :premises (@p58)) % 0.64/0.82 (step @p60 :rule trans :premises (@p59 @p36 @p57)) % 0.64/0.82 (step @p61 :rule trans :premises (@p60 @p56)) % 0.64/0.82 (step @p62 :rule cong :premises (@p61 @p55) :args (@t32)) % 0.64/0.82 (step @p63 :rule trans :premises (@p42 @p40)) % 0.64/0.82 (step @p64 :rule cong :premises (@p22 @p63) :args (@t33)) % 0.64/0.82 (step @p65 :rule cong :premises (@p64 @p26) :args (@t34)) % 0.64/0.82 (step @p66 :rule trans :premises (@p65 @p40)) % 0.64/0.82 (step @p67 :rule symm :premises (@p60)) % 0.64/0.82 (step @p68 :rule cong :premises (@p67 @p66) :args (@t35)) % 0.64/0.82 (step @p69 :rule trans :premises (@p68 @p62)) % 0.64/0.82 (step @p70 :rule cong :premises (@p69 @p46) :args ((tptp.double_divide @t35 tptp.identity))) % 0.64/0.82 (step @p71 :rule instantiate :premises (@p25) :args (@t36)) % 0.64/0.82 (step @p72 :rule symm :premises (@p71)) % 0.64/0.82 (step @p73 :rule trans :premises (@p72 @p70)) % 0.64/0.82 (step @p74 :rule instantiate :premises (@p25) :args (@t37)) % 0.64/0.82 (step @p75 :rule symm :premises (@p74)) % 0.64/0.82 (step @p76 :rule refl :args (@t16)) % 0.64/0.82 (step @p77 :rule cong :premises (@p76 @p75) :args ((tptp.double_divide @t16 (tptp.inverse @t16)))) % 0.64/0.82 (step @p78 :rule instantiate :premises (@p4) :args (@t37)) % 0.64/0.82 (step @p79 :rule trans :premises (@p78 @p77)) % 0.64/0.82 (step @p80 :rule cong :premises (@p60 @p79) :args (@t32)) % 0.64/0.82 (step @p81 :rule trans :premises (@p68 @p80)) % 0.64/0.82 (step @p82 :rule cong :premises (@p81 @p73) :args ((tptp.double_divide @t35 (tptp.inverse @t35)))) % 0.64/0.82 (step @p83 :rule instantiate :premises (@p4) :args (@t36)) % 0.64/0.82 (step @p84 :rule trans :premises (@p83 @p82)) % 0.64/0.82 (step @p85 :rule instantiate :premises (@p8) :args ((@list @t14 @t14 @t13 @t14))) % 0.64/0.82 (step @p86 :rule cong :premises (@p85 @p84) :args (@t14)) % 0.64/0.82 (step @p87 :rule instantiate :premises (@p4) :args (@t38)) % 0.64/0.82 (step @p88 :rule symm :premises (@p87)) % 0.64/0.82 (step @p89 :rule instantiate :premises (@p25) :args (@t38)) % 0.64/0.82 (step @p90 :rule refl :args (@t17)) % 0.64/0.82 (step @p91 :rule cong :premises (@p90 @p89) :args (@t18)) % 0.64/0.82 (step @p92 :rule trans :premises (@p91 @p88)) % 0.64/0.82 (step @p93 :rule cong :premises (@p45 @p92) :args (@t19)) % 0.64/0.82 (step @p94 :rule trans :premises (@p93 @p86)) % 0.64/0.82 (step @p95 :rule cong :premises (@p94 @p45) :args (@t20)) % 0.64/0.82 (step @p96 :rule trans :premises (@p95 @p44 @p42 @p40)) % 0.64/0.82 (step @p97 :rule cong :premises (@p38 @p96) :args (@t22)) % 0.64/0.82 (step @p98 :rule trans :premises (@p97 @p39)) % 0.64/0.82 (step @p99 :rule cong :premises (@p98 @p22) :args (@t23)) % 0.64/0.82 (step @p100 :rule trans :premises (@p99 @p21)) % 0.64/0.82 (step @p101 :rule cong :premises (@p100 @p19) :args (@t25)) % 0.64/0.82 (step @p102 :rule trans :premises (@p101 @p17)) % 0.64/0.82 (step @p103 :rule eq_resolve :premises (@p102 @p15)) % 0.64/0.82 (step @p104 :rule false_elim :premises (@p103)) % 0.64/0.82 (assume-push @p111 @t39) % 0.64/0.82 (step @p106 :rule instantiate :premises (@p8) :args ((@list @t12 tptp.a2 @t13 @t17))) % 0.64/0.82 (step-pop @p112 :rule scope :premises (@p106)) % 0.64/0.82 (step @p107 :rule process_scope :premises (@p112) :args (@t24)) % 0.64/0.82 (step @p109 :rule implies_elim :premises (@p107)) % 0.64/0.82 (step @p110 false :rule chain_m_resolution :premises (@p109 @p104 @p8) :args (false (@list true false) (@list @t24 @t39))) % 0.64/0.82 ) % 0.64/0.82 % SZS output end Proof % 0.64/0.83 % cvc5 exiting %------------------------------------------------------------------------------