%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP529-1 : 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 : n029.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 08:20:52 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP529-1 : TPTP v9.2.1. Released v2.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.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 01:16:02 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.62 % SZS status Unsatisfiable % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.a1 $$unsorted) % 0.37/0.62 (declare-const tptp.b1 $$unsorted) % 0.37/0.62 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (define @t1 () (@var "C" $$unsorted)) % 0.37/0.62 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.62 (define @t3 () (@var "A" $$unsorted)) % 0.37/0.62 (define @t4 () (tptp.divide (tptp.divide @t3 (tptp.divide @t2 @t1)) (tptp.divide @t3 @t2))) % 0.37/0.62 (define @t5 () (@list @t3 @t2 @t1)) % 0.37/0.62 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.37/0.62 (define @t7 () (forall @t5 (= (tptp.multiply @t3 @t2) (tptp.divide @t3 (tptp.divide (tptp.divide @t1 @t1) @t2))))) % 0.37/0.62 (define @t8 () (tptp.inverse tptp.b1)) % 0.37/0.62 (define @t9 () (tptp.divide @t8 @t8)) % 0.37/0.62 (define @t10 () (tptp.divide @t8 (tptp.divide @t9 tptp.b1))) % 0.37/0.62 (define @t11 () (tptp.divide @t10 @t8)) % 0.37/0.62 (define @t12 () (tptp.divide (tptp.divide @t10 (tptp.divide @t8 @t9)) @t11)) % 0.37/0.62 (define @t13 () (= @t9 @t12)) % 0.37/0.62 (define @t14 () (= @t12 @t9)) % 0.37/0.62 (define @t15 () (tptp.divide tptp.a1 tptp.a1)) % 0.37/0.62 (define @t16 () (tptp.divide tptp.a1 @t15)) % 0.37/0.62 (define @t17 () (tptp.divide @t16 @t15)) % 0.37/0.62 (define @t18 () (tptp.divide @t15 @t17)) % 0.37/0.62 (define @t19 () (tptp.divide @t15 @t16)) % 0.37/0.62 (define @t20 () (tptp.divide @t15 tptp.a1)) % 0.37/0.62 (define @t21 () (tptp.divide tptp.a1 @t20)) % 0.37/0.62 (define @t22 () (tptp.divide @t21 @t16)) % 0.37/0.62 (define @t23 () (tptp.divide tptp.a1 @t22)) % 0.37/0.62 (define @t24 () (tptp.divide @t23 tptp.a1)) % 0.37/0.62 (define @t25 () (tptp.divide tptp.a1 @t21)) % 0.37/0.62 (define @t26 () (tptp.divide tptp.a1 @t17)) % 0.37/0.62 (define @t27 () (tptp.divide @t26 tptp.a1)) % 0.37/0.62 (define @t28 () (tptp.divide tptp.a1 @t16)) % 0.37/0.62 (define @t29 () (tptp.divide @t18 @t15)) % 0.37/0.62 (define @t30 () (tptp.divide @t15 @t29)) % 0.37/0.62 (define @t31 () (tptp.divide @t17 @t16)) % 0.37/0.62 (define @t32 () (tptp.divide @t18 @t18)) % 0.37/0.62 (define @t33 () (tptp.divide @t32 tptp.b1)) % 0.37/0.62 (define @t34 () (tptp.multiply @t18 @t16)) % 0.37/0.62 (define @t35 () (tptp.divide @t18 @t19)) % 0.37/0.62 (define @t36 () (= @t34 @t35)) % 0.37/0.62 (define @t37 () (tptp.divide @t8 (tptp.divide @t15 tptp.b1))) % 0.37/0.62 (define @t38 () (tptp.divide @t8 @t15)) % 0.37/0.62 (define @t39 () (tptp.divide @t9 (tptp.divide @t37 @t38))) % 0.37/0.62 (define @t40 () (tptp.divide @t37 @t39)) % 0.37/0.62 (define @t41 () (tptp.divide @t37 (tptp.divide @t39 (tptp.divide @t9 @t37)))) % 0.37/0.62 (define @t42 () (forall @t5 (= @t1 @t4))) % 0.37/0.62 (assume @p1 @t6) % 0.37/0.62 (assume @p2 @t7) % 0.37/0.62 (assume @p3 (forall (@list @t3 @t2) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t2 @t2) @t3)))) % 0.37/0.62 (assume @p4 (not (= (tptp.multiply (tptp.inverse tptp.a1) tptp.a1) (tptp.multiply @t8 tptp.b1)))) % 0.37/0.62 (step @p5 :rule eq-symm :args (@t4 @t1)) % 0.37/0.62 (step @p6 :rule cong :premises (@p5) :args (@t6)) % 0.37/0.62 (step @p7 :rule eq_resolve :premises (@p1 @p6)) % 0.37/0.62 (step @p8 :rule bool-eq-false :args (@t13)) % 0.37/0.62 (step @p9 :rule symm :premises (@p8)) % 0.37/0.62 (step @p10 :rule eq-symm :args (@t12 @t9)) % 0.37/0.62 (step @p11 :rule cong :premises (@p10) :args ((not @t14))) % 0.37/0.62 (step @p12 :rule bool-eq-false :args (@t14)) % 0.37/0.62 (step @p13 :rule trans :premises (@p12 @p11)) % 0.37/0.62 (step @p14 :rule trans :premises (@p13 @p9)) % 0.37/0.62 (step @p15 :rule false_intro :premises (@p4)) % 0.37/0.62 (step @p16 :rule instantiate :premises (@p2) :args ((@list @t8 tptp.b1 @t18))) % 0.37/0.62 (step @p17 :rule symm :premises (@p16)) % 0.37/0.62 (step @p18 :rule instantiate :premises (@p3) :args ((@list tptp.b1 tptp.a1))) % 0.37/0.62 (step @p19 :rule symm :premises (@p18)) % 0.37/0.62 (step @p20 :rule refl :args (tptp.b1)) % 0.37/0.62 (step @p21 :rule instantiate :premises (@p7) :args ((@list @t19 @t15 tptp.a1))) % 0.37/0.62 (step @p22 :rule symm :premises (@p21)) % 0.37/0.62 (step @p23 :rule refl :args (@t15)) % 0.37/0.62 (step @p24 :rule instantiate :premises (@p7) :args ((@list @t16 @t18 @t19))) % 0.37/0.62 (step @p25 :rule symm :premises (@p24)) % 0.37/0.62 (step @p26 :rule instantiate :premises (@p7) :args ((@list tptp.a1 tptp.a1 tptp.a1))) % 0.37/0.62 (step @p27 :rule cong :premises (@p23 @p26) :args (@t20)) % 0.37/0.62 (step @p28 :rule refl :args (tptp.a1)) % 0.37/0.62 (step @p29 :rule instantiate :premises (@p7) :args ((@list tptp.a1 @t15 tptp.a1))) % 0.37/0.62 (step @p30 :rule symm :premises (@p29)) % 0.37/0.62 (step @p31 :rule cong :premises (@p28 @p30) :args (@t23)) % 0.37/0.62 (step @p32 :rule cong :premises (@p31 @p28) :args (@t24)) % 0.37/0.62 (step @p33 :rule trans :premises (@p32 @p27)) % 0.37/0.62 (step @p34 :rule instantiate :premises (@p7) :args ((@list tptp.a1 @t21 @t16))) % 0.37/0.62 (step @p35 :rule symm :premises (@p34)) % 0.37/0.62 (step @p36 :rule cong :premises (@p35 @p33) :args ((tptp.divide (tptp.divide @t23 @t25) @t24))) % 0.37/0.62 (step @p37 :rule instantiate :premises (@p7) :args ((@list @t23 tptp.a1 @t21))) % 0.37/0.62 (step @p38 :rule trans :premises (@p37 @p36)) % 0.37/0.62 (step @p39 :rule instantiate :premises (@p7) :args ((@list @t15 @t16 @t15))) % 0.37/0.62 (step @p40 :rule refl :args (@t16)) % 0.37/0.62 (step @p41 :rule cong :premises (@p40 @p39) :args (@t17)) % 0.37/0.62 (step @p42 :rule trans :premises (@p26 @p41)) % 0.37/0.62 (step @p43 :rule trans :premises (@p30 @p42)) % 0.37/0.62 (step @p44 :rule cong :premises (@p43 @p38) :args ((tptp.divide @t22 @t21))) % 0.37/0.62 (step @p45 :rule refl :args (@t21)) % 0.37/0.62 (step @p46 :rule cong :premises (@p29 @p45) :args (@t25)) % 0.37/0.62 (step @p47 :rule trans :premises (@p46 @p44 @p25)) % 0.37/0.62 (step @p48 :rule cong :premises (@p47 @p23) :args ((tptp.divide @t25 @t15))) % 0.37/0.62 (step @p49 :rule instantiate :premises (@p7) :args ((@list tptp.a1 tptp.a1 @t20))) % 0.37/0.62 (step @p50 :rule symm :premises (@p26)) % 0.37/0.62 (step @p51 :rule cong :premises (@p28 @p50) :args (@t26)) % 0.37/0.62 (step @p52 :rule cong :premises (@p51 @p28) :args (@t27)) % 0.37/0.62 (step @p53 :rule trans :premises (@p52 @p49 @p48)) % 0.37/0.62 (step @p54 :rule instantiate :premises (@p7) :args ((@list @t15 tptp.a1 @t15))) % 0.37/0.62 (step @p55 :rule instantiate :premises (@p7) :args ((@list tptp.a1 @t16 @t15))) % 0.37/0.62 (step @p56 :rule symm :premises (@p55)) % 0.37/0.62 (step @p57 :rule trans :premises (@p56 @p54)) % 0.37/0.62 (step @p58 :rule cong :premises (@p57 @p53) :args ((tptp.divide (tptp.divide @t26 @t28) @t27))) % 0.37/0.62 (step @p59 :rule instantiate :premises (@p7) :args ((@list @t26 tptp.a1 @t16))) % 0.37/0.62 (step @p60 :rule instantiate :premises (@p7) :args ((@list @t18 @t15 @t16))) % 0.37/0.62 (step @p61 :rule symm :premises (@p60)) % 0.37/0.62 (step @p62 :rule refl :args (@t29)) % 0.37/0.62 (step @p63 :rule cong :premises (@p39 @p62) :args (@t30)) % 0.37/0.62 (step @p64 :rule trans :premises (@p63 @p61 @p59 @p58 @p22)) % 0.37/0.62 (step @p65 :rule cong :premises (@p28 @p64) :args ((tptp.divide tptp.a1 @t30))) % 0.37/0.62 (step @p66 :rule symm :premises (@p63)) % 0.37/0.62 (step @p67 :rule trans :premises (@p60 @p66)) % 0.37/0.62 (step @p68 :rule cong :premises (@p28 @p67) :args (@t28)) % 0.37/0.62 (step @p69 :rule cong :premises (@p50 @p40) :args (@t31)) % 0.37/0.62 (step @p70 :rule instantiate :premises (@p7) :args ((@list @t15 (tptp.divide @t17 (tptp.divide @t16 tptp.a1)) @t31))) % 0.37/0.62 (step @p71 :rule symm :premises (@p70)) % 0.37/0.62 (step @p72 :rule instantiate :premises (@p7) :args ((@list @t16 tptp.a1 tptp.a1))) % 0.37/0.62 (step @p73 :rule cong :premises (@p23 @p72) :args (@t20)) % 0.37/0.62 (step @p74 :rule symm :premises (@p27)) % 0.37/0.62 (step @p75 :rule trans :premises (@p74 @p73)) % 0.37/0.62 (step @p76 :rule instantiate :premises (@p7) :args ((@list @t17 @t16 tptp.a1))) % 0.37/0.62 (step @p77 :rule cong :premises (@p23 @p76) :args (@t20)) % 0.37/0.62 (step @p78 :rule trans :premises (@p74 @p77)) % 0.37/0.62 (step @p79 :rule cong :premises (@p78 @p75) :args (@t32)) % 0.37/0.62 (step @p80 :rule trans :premises (@p79 @p71 @p69 @p68 @p65)) % 0.37/0.62 (step @p81 :rule cong :premises (@p80 @p20) :args (@t33)) % 0.37/0.62 (step @p82 :rule trans :premises (@p81 @p19)) % 0.37/0.62 (step @p83 :rule refl :args (@t8)) % 0.37/0.62 (step @p84 :rule cong :premises (@p83 @p82) :args ((tptp.divide @t8 @t33))) % 0.37/0.62 (step @p85 :rule symm :premises (@p84)) % 0.37/0.62 (step @p86 :rule trans :premises (@p85 @p17)) % 0.37/0.62 (step @p87 :rule trans :premises (@p59 @p58 @p22)) % 0.37/0.62 (step @p88 :rule instantiate :premises (@p3) :args ((@list tptp.a1 tptp.a1))) % 0.37/0.62 (step @p89 :rule symm :premises (@p88)) % 0.37/0.62 (step @p90 :rule trans :premises (@p74 @p89)) % 0.37/0.62 (step @p91 :rule cong :premises (@p90 @p87) :args (@t34)) % 0.37/0.62 (step @p92 :rule eq-symm :args (@t34 @t35)) % 0.37/0.62 (step @p93 :rule refl :args (@t7)) % 0.37/0.62 (step @p94 :rule cong :premises (@p93 @p92) :args ((=> @t7 @t36))) % 0.37/0.62 (assume-push @p143 @t7) % 0.37/0.62 (step @p96 :rule instantiate :premises (@p2) :args ((@list @t18 @t16 tptp.a1))) % 0.37/0.62 (step-pop @p144 :rule scope :premises (@p96)) % 0.37/0.62 (step @p97 :rule process_scope :premises (@p144) :args (@t36)) % 0.37/0.62 (step @p99 :rule eq_resolve :premises (@p97 @p94)) % 0.37/0.62 (step @p100 :rule implies_elim :premises (@p99)) % 0.37/0.62 (step @p101 :rule chain_m_resolution :premises (@p100 @p2) :args ((= @t35 @t34) (@list false) (@list @t7))) % 0.37/0.62 (step @p102 :rule instantiate :premises (@p7) :args ((@list @t37 @t8 @t15))) % 0.37/0.62 (step @p103 :rule symm :premises (@p102)) % 0.37/0.62 (step @p104 :rule instantiate :premises (@p3) :args ((@list tptp.b1 @t8))) % 0.37/0.62 (step @p105 :rule symm :premises (@p104)) % 0.37/0.62 (step @p106 :rule instantiate :premises (@p7) :args ((@list @t8 @t15 tptp.b1))) % 0.37/0.62 (step @p107 :rule symm :premises (@p106)) % 0.37/0.62 (step @p108 :rule refl :args (@t9)) % 0.37/0.62 (step @p109 :rule cong :premises (@p108 @p107) :args (@t39)) % 0.37/0.62 (step @p110 :rule trans :premises (@p109 @p105)) % 0.37/0.62 (step @p111 :rule refl :args (@t37)) % 0.37/0.62 (step @p112 :rule cong :premises (@p111 @p110) :args (@t40)) % 0.37/0.62 (step @p113 :rule instantiate :premises (@p7) :args ((@list @t9 @t37 @t38))) % 0.37/0.62 (step @p114 :rule symm :premises (@p113)) % 0.37/0.62 (step @p115 :rule cong :premises (@p111 @p114) :args (@t41)) % 0.37/0.62 (step @p116 :rule cong :premises (@p115 @p112) :args ((tptp.divide @t41 @t40))) % 0.37/0.62 (step @p117 :rule symm :premises (@p112)) % 0.37/0.62 (step @p118 :rule symm :premises (@p81)) % 0.37/0.62 (step @p119 :rule cong :premises (@p83 @p118) :args (@t37)) % 0.37/0.62 (step @p120 :rule symm :premises (@p119)) % 0.37/0.62 (step @p121 :rule trans :premises (@p105 @p18 @p118)) % 0.37/0.62 (step @p122 :rule cong :premises (@p83 @p121) :args (@t10)) % 0.37/0.62 (step @p123 :rule trans :premises (@p122 @p120)) % 0.37/0.62 (step @p124 :rule cong :premises (@p123 @p83) :args (@t11)) % 0.37/0.62 (step @p125 :rule trans :premises (@p124 @p117)) % 0.37/0.62 (step @p126 :rule symm :premises (@p115)) % 0.37/0.62 (step @p127 :rule instantiate :premises (@p7) :args ((@list @t8 @t9 tptp.b1))) % 0.37/0.62 (step @p128 :rule symm :premises (@p127)) % 0.37/0.62 (step @p129 :rule trans :premises (@p128 @p106)) % 0.37/0.62 (step @p130 :rule trans :premises (@p129 @p126)) % 0.37/0.62 (step @p131 :rule cong :premises (@p130 @p125) :args (@t12)) % 0.37/0.62 (step @p132 :rule trans :premises (@p131 @p116 @p103 @p39 @p101 @p91)) % 0.37/0.62 (step @p133 :rule cong :premises (@p132 @p86) :args (@t14)) % 0.37/0.62 (step @p134 :rule trans :premises (@p133 @p15)) % 0.37/0.62 (step @p135 :rule eq_resolve :premises (@p134 @p14)) % 0.37/0.62 (step @p136 :rule false_elim :premises (@p135)) % 0.37/0.62 (assume-push @p145 @t42) % 0.37/0.62 (step @p138 :rule instantiate :premises (@p7) :args ((@list @t10 @t8 @t9))) % 0.37/0.62 (step-pop @p146 :rule scope :premises (@p138)) % 0.37/0.62 (step @p139 :rule process_scope :premises (@p146) :args (@t13)) % 0.37/0.62 (step @p141 :rule implies_elim :premises (@p139)) % 0.37/0.62 (step @p142 false :rule chain_m_resolution :premises (@p141 @p136 @p7) :args (false (@list true false) (@list @t13 @t42))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.33/0.63 % cvc5 exiting %------------------------------------------------------------------------------