%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP548-1 : TPTP v9.2.1. Bugfixed v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:20:54 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP548-1 : TPTP v9.2.1. Bugfixed v2.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 01:15:59 EDT 2026 % 0.16/0.34 % 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... % 0.38/0.59 % SZS status Unsatisfiable % 0.38/0.59 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.b $$unsorted) % 0.38/0.60 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.a $$unsorted) % 0.38/0.60 (declare-const tptp.identity $$unsorted) % 0.38/0.60 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.60 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.60 (define @t3 () (@var "B" $$unsorted)) % 0.38/0.60 (define @t4 () (tptp.divide (tptp.divide tptp.identity (tptp.divide @t2 @t3)) (tptp.divide (tptp.divide @t3 @t1) @t2))) % 0.38/0.60 (define @t5 () (@list @t2 @t3 @t1)) % 0.38/0.60 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.38/0.60 (define @t7 () (@list @t2)) % 0.38/0.60 (define @t8 () (tptp.divide tptp.identity tptp.a)) % 0.38/0.60 (define @t9 () (tptp.divide tptp.identity tptp.identity)) % 0.38/0.60 (define @t10 () (tptp.divide @t9 tptp.identity)) % 0.38/0.60 (define @t11 () (tptp.divide @t10 tptp.b)) % 0.38/0.60 (define @t12 () (tptp.divide @t11 tptp.identity)) % 0.38/0.60 (define @t13 () (tptp.divide tptp.identity @t12)) % 0.38/0.60 (define @t14 () (tptp.divide @t13 @t8)) % 0.38/0.60 (define @t15 () (tptp.divide tptp.identity (tptp.divide @t8 tptp.identity))) % 0.38/0.60 (define @t16 () (tptp.divide (tptp.divide @t15 @t14) tptp.identity)) % 0.38/0.60 (define @t17 () (tptp.divide tptp.identity @t15)) % 0.38/0.60 (define @t18 () (tptp.divide tptp.identity @t17)) % 0.38/0.60 (define @t19 () (tptp.divide @t18 @t16)) % 0.38/0.60 (define @t20 () (= @t14 @t19)) % 0.38/0.60 (define @t21 () (= @t19 @t14)) % 0.38/0.60 (define @t22 () (tptp.divide @t9 tptp.a)) % 0.38/0.60 (define @t23 () (tptp.divide tptp.a tptp.identity)) % 0.38/0.60 (define @t24 () (tptp.divide tptp.identity @t23)) % 0.38/0.60 (define @t25 () (tptp.divide @t24 @t22)) % 0.38/0.60 (define @t26 () (tptp.divide @t25 tptp.b)) % 0.38/0.60 (define @t27 () (tptp.divide @t26 tptp.identity)) % 0.38/0.60 (define @t28 () (tptp.divide tptp.identity tptp.b)) % 0.38/0.60 (define @t29 () (tptp.divide @t28 tptp.identity)) % 0.38/0.60 (define @t30 () (tptp.divide tptp.identity @t9)) % 0.38/0.60 (define @t31 () (tptp.divide tptp.b @t9)) % 0.38/0.60 (define @t32 () (tptp.divide tptp.identity @t31)) % 0.38/0.60 (define @t33 () (tptp.divide @t32 @t11)) % 0.38/0.60 (define @t34 () (tptp.divide tptp.identity (tptp.divide @t33 tptp.identity))) % 0.38/0.60 (define @t35 () (tptp.divide @t25 tptp.a)) % 0.38/0.60 (define @t36 () (tptp.divide @t35 tptp.identity)) % 0.38/0.60 (define @t37 () (tptp.divide @t22 tptp.identity)) % 0.38/0.60 (define @t38 () (tptp.divide tptp.identity @t24)) % 0.38/0.60 (define @t39 () (tptp.divide @t33 tptp.a)) % 0.38/0.60 (define @t40 () (tptp.divide tptp.identity @t38)) % 0.38/0.60 (define @t41 () (forall @t5 (= @t1 @t4))) % 0.38/0.60 (assume @p1 @t6) % 0.38/0.60 (assume @p2 (forall (@list @t2 @t3) (= (tptp.multiply @t2 @t3) (tptp.divide @t2 (tptp.divide tptp.identity @t3))))) % 0.38/0.60 (assume @p3 (forall @t7 (= (tptp.inverse @t2) (tptp.divide tptp.identity @t2)))) % 0.38/0.60 (assume @p4 (forall @t7 (= tptp.identity (tptp.divide @t2 @t2)))) % 0.38/0.60 (assume @p5 (not (= (tptp.multiply tptp.a tptp.b) (tptp.multiply tptp.b tptp.a)))) % 0.38/0.60 (step @p6 :rule eq-symm :args (@t4 @t1)) % 0.38/0.60 (step @p7 :rule cong :premises (@p6) :args (@t6)) % 0.38/0.60 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.38/0.60 (step @p9 :rule bool-eq-false :args (@t20)) % 0.38/0.60 (step @p10 :rule symm :premises (@p9)) % 0.38/0.60 (step @p11 :rule eq-symm :args (@t19 @t14)) % 0.38/0.60 (step @p12 :rule cong :premises (@p11) :args ((not @t21))) % 0.38/0.60 (step @p13 :rule bool-eq-false :args (@t21)) % 0.38/0.60 (step @p14 :rule trans :premises (@p13 @p12)) % 0.38/0.60 (step @p15 :rule trans :premises (@p14 @p10)) % 0.38/0.60 (step @p16 :rule false_intro :premises (@p5)) % 0.38/0.60 (step @p17 :rule instantiate :premises (@p2) :args ((@list tptp.b tptp.a))) % 0.38/0.60 (step @p18 :rule symm :premises (@p17)) % 0.38/0.60 (step @p19 :rule refl :args (@t8)) % 0.38/0.60 (step @p20 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity tptp.b))) % 0.38/0.60 (step @p21 :rule symm :premises (@p20)) % 0.38/0.60 (step @p22 :rule refl :args (tptp.identity)) % 0.38/0.60 (step @p23 :rule refl :args (tptp.b)) % 0.38/0.60 (step @p24 :rule instantiate :premises (@p4) :args ((@list tptp.identity))) % 0.38/0.60 (step @p25 :rule symm :premises (@p24)) % 0.38/0.60 (step @p26 :rule cong :premises (@p25 @p22) :args (@t10)) % 0.38/0.60 (step @p27 :rule trans :premises (@p26 @p25)) % 0.38/0.60 (step @p28 :rule cong :premises (@p27 @p23) :args (@t11)) % 0.38/0.60 (step @p29 :rule symm :premises (@p28)) % 0.38/0.60 (step @p30 :rule instantiate :premises (@p8) :args ((@list tptp.a tptp.identity tptp.identity))) % 0.38/0.60 (step @p31 :rule symm :premises (@p30)) % 0.38/0.60 (step @p32 :rule cong :premises (@p31 @p23) :args (@t26)) % 0.38/0.60 (step @p33 :rule trans :premises (@p32 @p29)) % 0.38/0.60 (step @p34 :rule cong :premises (@p33 @p22) :args (@t27)) % 0.38/0.60 (step @p35 :rule symm :premises (@p32)) % 0.38/0.60 (step @p36 :rule cong :premises (@p35 @p22) :args (@t29)) % 0.38/0.60 (step @p37 :rule trans :premises (@p36 @p34)) % 0.38/0.60 (step @p38 :rule cong :premises (@p22 @p25) :args (@t30)) % 0.38/0.60 (step @p39 :rule trans :premises (@p38 @p25)) % 0.38/0.60 (step @p40 :rule cong :premises (@p39 @p37) :args ((tptp.divide @t30 @t29))) % 0.38/0.60 (step @p41 :rule symm :premises (@p40)) % 0.38/0.60 (step @p42 :rule trans :premises (@p41 @p21)) % 0.38/0.60 (step @p43 :rule cong :premises (@p42 @p19) :args (@t14)) % 0.38/0.60 (step @p44 :rule trans :premises (@p43 @p18)) % 0.38/0.60 (step @p45 :rule instantiate :premises (@p2) :args ((@list tptp.a tptp.b))) % 0.38/0.60 (step @p46 :rule symm :premises (@p45)) % 0.38/0.60 (step @p47 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t32 @t11))) % 0.38/0.60 (step @p48 :rule symm :premises (@p47)) % 0.38/0.60 (step @p49 :rule instantiate :premises (@p8) :args ((@list tptp.b @t9 tptp.identity))) % 0.38/0.60 (step @p50 :rule cong :premises (@p49 @p22) :args (@t9)) % 0.38/0.60 (step @p51 :rule trans :premises (@p24 @p50)) % 0.38/0.60 (step @p52 :rule instantiate :premises (@p8) :args ((@list @t11 tptp.identity @t31))) % 0.38/0.60 (step @p53 :rule symm :premises (@p52)) % 0.38/0.60 (step @p54 :rule symm :premises (@p51)) % 0.38/0.60 (step @p55 :rule cong :premises (@p22 @p54) :args (@t34)) % 0.38/0.60 (step @p56 :rule trans :premises (@p55 @p25)) % 0.38/0.60 (step @p57 :rule cong :premises (@p56 @p53) :args ((tptp.divide @t34 (tptp.divide @t13 @t33)))) % 0.38/0.60 (step @p58 :rule instantiate :premises (@p8) :args ((@list @t33 tptp.identity @t12))) % 0.38/0.60 (step @p59 :rule trans :premises (@p58 @p57)) % 0.38/0.60 (step @p60 :rule cong :premises (@p31 @p59) :args ((tptp.divide @t25 @t12))) % 0.38/0.60 (step @p61 :rule refl :args (@t12)) % 0.38/0.60 (step @p62 :rule cong :premises (@p30 @p61) :args (@t13)) % 0.38/0.60 (step @p63 :rule trans :premises (@p20 @p40 @p62 @p60)) % 0.38/0.60 (step @p64 :rule symm :premises (@p49)) % 0.38/0.60 (step @p65 :rule cong :premises (@p64 @p63) :args ((tptp.divide @t33 tptp.b))) % 0.38/0.60 (step @p66 :rule cong :premises (@p49 @p23) :args (@t28)) % 0.38/0.60 (step @p67 :rule trans :premises (@p28 @p66 @p65)) % 0.38/0.60 (step @p68 :rule trans :premises (@p33 @p67)) % 0.38/0.60 (step @p69 :rule cong :premises (@p68 @p51) :args (@t27)) % 0.38/0.60 (step @p70 :rule symm :premises (@p33)) % 0.38/0.60 (step @p71 :rule symm :premises (@p34)) % 0.38/0.60 (step @p72 :rule instantiate :premises (@p8) :args ((@list @t8 tptp.identity @t12))) % 0.38/0.60 (step @p73 :rule symm :premises (@p72)) % 0.38/0.60 (step @p74 :rule trans :premises (@p73 @p71 @p69 @p48)) % 0.38/0.60 (step @p75 :rule trans :premises (@p74 @p70)) % 0.38/0.60 (step @p76 :rule cong :premises (@p75 @p22) :args (@t16)) % 0.38/0.60 (step @p77 :rule trans :premises (@p76 @p69 @p48 @p28)) % 0.38/0.60 (step @p78 :rule instantiate :premises (@p8) :args ((@list tptp.identity tptp.identity tptp.a))) % 0.38/0.60 (step @p79 :rule symm :premises (@p78)) % 0.38/0.60 (step @p80 :rule refl :args (tptp.a)) % 0.38/0.60 (step @p81 :rule cong :premises (@p31 @p80) :args (@t35)) % 0.38/0.60 (step @p82 :rule cong :premises (@p81 @p22) :args (@t36)) % 0.38/0.60 (step @p83 :rule cong :premises (@p25 @p80) :args (@t22)) % 0.38/0.60 (step @p84 :rule symm :premises (@p83)) % 0.38/0.60 (step @p85 :rule trans :premises (@p81 @p84)) % 0.38/0.60 (step @p86 :rule symm :premises (@p85)) % 0.38/0.60 (step @p87 :rule cong :premises (@p86 @p22) :args (@t37)) % 0.38/0.60 (step @p88 :rule trans :premises (@p87 @p82)) % 0.38/0.60 (step @p89 :rule symm :premises (@p39)) % 0.38/0.60 (step @p90 :rule cong :premises (@p89 @p88) :args ((tptp.divide tptp.identity @t37))) % 0.38/0.60 (step @p91 :rule trans :premises (@p90 @p79)) % 0.38/0.60 (step @p92 :rule refl :args (@t37)) % 0.38/0.60 (step @p93 :rule cong :premises (@p31 @p92) :args ((tptp.divide @t25 @t37))) % 0.38/0.60 (step @p94 :rule instantiate :premises (@p8) :args ((@list @t25 tptp.identity @t37))) % 0.38/0.60 (step @p95 :rule symm :premises (@p94)) % 0.38/0.60 (step @p96 :rule instantiate :premises (@p8) :args ((@list @t22 tptp.identity @t23))) % 0.38/0.60 (step @p97 :rule cong :premises (@p30 @p22) :args (@t9)) % 0.38/0.60 (step @p98 :rule trans :premises (@p24 @p97)) % 0.38/0.60 (step @p99 :rule cong :premises (@p22 @p98) :args (@t9)) % 0.38/0.60 (step @p100 :rule trans :premises (@p24 @p99)) % 0.38/0.60 (step @p101 :rule trans :premises (@p31 @p100)) % 0.38/0.60 (step @p102 :rule cong :premises (@p101 @p96) :args ((tptp.divide @t25 @t23))) % 0.38/0.60 (step @p103 :rule refl :args (@t23)) % 0.38/0.60 (step @p104 :rule cong :premises (@p30 @p103) :args (@t24)) % 0.38/0.60 (step @p105 :rule trans :premises (@p104 @p102 @p95)) % 0.38/0.60 (step @p106 :rule cong :premises (@p30 @p105) :args (@t38)) % 0.38/0.60 (step @p107 :rule instantiate :premises (@p8) :args ((@list (tptp.divide @t25 tptp.identity) tptp.identity @t38))) % 0.38/0.60 (step @p108 :rule symm :premises (@p107)) % 0.38/0.60 (step @p109 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t24 @t22))) % 0.38/0.60 (step @p110 :rule cong :premises (@p64 @p80) :args (@t39)) % 0.38/0.60 (step @p111 :rule refl :args (@t40)) % 0.38/0.60 (step @p112 :rule cong :premises (@p111 @p97) :args ((tptp.divide @t40 @t9))) % 0.38/0.60 (step @p113 :rule refl :args (@t38)) % 0.38/0.60 (step @p114 :rule cong :premises (@p31 @p113) :args ((tptp.divide @t25 @t38))) % 0.38/0.60 (step @p115 :rule symm :premises (@p106)) % 0.38/0.60 (step @p116 :rule symm :premises (@p93)) % 0.38/0.60 (step @p117 :rule symm :premises (@p90)) % 0.38/0.60 (step @p118 :rule trans :premises (@p78 @p117 @p116 @p115)) % 0.38/0.60 (step @p119 :rule trans :premises (@p64 @p30)) % 0.38/0.60 (step @p120 :rule cong :premises (@p119 @p118) :args (@t39)) % 0.38/0.60 (step @p121 :rule symm :premises (@p110)) % 0.38/0.60 (step @p122 :rule trans :premises (@p83 @p121 @p120 @p114)) % 0.38/0.60 (step @p123 :rule trans :premises (@p85 @p122)) % 0.38/0.60 (step @p124 :rule cong :premises (@p123 @p24) :args (@t36)) % 0.38/0.60 (step @p125 :rule symm :premises (@p82)) % 0.38/0.60 (step @p126 :rule trans :premises (@p125 @p124 @p112)) % 0.38/0.60 (step @p127 :rule cong :premises (@p98 @p22) :args (@t9)) % 0.38/0.60 (step @p128 :rule trans :premises (@p24 @p127)) % 0.38/0.60 (step @p129 :rule cong :premises (@p22 @p128) :args (@t9)) % 0.38/0.60 (step @p130 :rule trans :premises (@p24 @p129)) % 0.38/0.60 (step @p131 :rule cong :premises (@p130 @p126) :args (@t15)) % 0.38/0.60 (step @p132 :rule trans :premises (@p131 @p108 @p106 @p93 @p90 @p79)) % 0.38/0.60 (step @p133 :rule cong :premises (@p49 @p132) :args (@t17)) % 0.38/0.60 (step @p134 :rule trans :premises (@p133 @p110 @p84 @p109)) % 0.38/0.60 (step @p135 :rule cong :premises (@p130 @p134) :args (@t18)) % 0.38/0.60 (step @p136 :rule trans :premises (@p135 @p108 @p106 @p93)) % 0.38/0.60 (step @p137 :rule trans :premises (@p136 @p91)) % 0.38/0.60 (step @p138 :rule cong :premises (@p137 @p77) :args (@t19)) % 0.38/0.60 (step @p139 :rule trans :premises (@p138 @p46)) % 0.38/0.60 (step @p140 :rule cong :premises (@p139 @p44) :args (@t21)) % 0.38/0.60 (step @p141 :rule trans :premises (@p140 @p16)) % 0.38/0.60 (step @p142 :rule eq_resolve :premises (@p141 @p15)) % 0.38/0.60 (step @p143 :rule false_elim :premises (@p142)) % 0.38/0.60 (assume-push @p150 @t41) % 0.38/0.60 (step @p145 :rule instantiate :premises (@p8) :args ((@list tptp.identity @t15 @t14))) % 0.38/0.60 (step-pop @p151 :rule scope :premises (@p145)) % 0.38/0.60 (step @p146 :rule process_scope :premises (@p151) :args (@t20)) % 0.38/0.60 (step @p148 :rule implies_elim :premises (@p146)) % 0.38/0.60 (step @p149 false :rule chain_m_resolution :premises (@p148 @p143 @p8) :args (false (@list true false) (@list @t20 @t41))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------