%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP558-1 : 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 : n020.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 08:20:55 AM UTC 2026 % Result : Unsatisfiable 27.95s 28.20s % Output : Proof 28.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GRP558-1 : TPTP v9.2.1. Released v2.6.0. % 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n020.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 01:16:40 EDT 2026 % 0.15/0.33 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.30/15.52 --- Run --no-e-matching --full-saturate-quant at 6... % 21.31/21.54 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.32/27.56 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.95/28.20 % SZS status Unsatisfiable % 27.95/28.20 % SZS output start Proof % 28.02/28.20 ( % 28.02/28.20 (declare-sort $$unsorted 0) % 28.02/28.20 (declare-const tptp.b2 $$unsorted) % 28.02/28.20 (declare-const tptp.a2 $$unsorted) % 28.02/28.20 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 28.02/28.20 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 28.02/28.20 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 28.02/28.20 (define @t1 () (@var "B" $$unsorted)) % 28.02/28.20 (define @t2 () (@var "C" $$unsorted)) % 28.02/28.20 (define @t3 () (@var "A" $$unsorted)) % 28.02/28.20 (define @t4 () (tptp.divide @t3 (tptp.inverse (tptp.divide (tptp.divide @t1 @t2) (tptp.divide @t3 @t2))))) % 28.02/28.20 (define @t5 () (forall (@list @t3 @t1 @t2) (= @t4 @t1))) % 28.02/28.20 (define @t6 () (tptp.inverse tptp.b2)) % 28.02/28.20 (define @t7 () (tptp.multiply @t6 tptp.b2)) % 28.02/28.20 (define @t8 () (tptp.multiply @t7 tptp.a2)) % 28.02/28.20 (define @t9 () (tptp.divide tptp.b2 tptp.b2)) % 28.02/28.20 (define @t10 () (tptp.inverse (tptp.divide @t9 (tptp.divide @t7 tptp.b2)))) % 28.02/28.20 (define @t11 () (tptp.divide @t7 @t10)) % 28.02/28.20 (define @t12 () (tptp.divide @t11 @t11)) % 28.02/28.20 (define @t13 () (tptp.inverse @t12)) % 28.02/28.20 (define @t14 () (tptp.divide @t13 @t13)) % 28.02/28.20 (define @t15 () (tptp.inverse (tptp.divide (tptp.divide tptp.b2 @t13) @t14))) % 28.02/28.20 (define @t16 () (tptp.inverse (tptp.divide @t9 (tptp.divide tptp.a2 tptp.b2)))) % 28.02/28.20 (define @t17 () (tptp.divide tptp.a2 (tptp.inverse (tptp.divide (tptp.divide tptp.b2 tptp.a2) (tptp.divide tptp.a2 tptp.a2))))) % 28.02/28.20 (define @t18 () (tptp.divide @t17 @t17)) % 28.02/28.20 (define @t19 () (tptp.inverse @t18)) % 28.02/28.20 (define @t20 () (tptp.divide @t6 @t6)) % 28.02/28.20 (define @t21 () (tptp.inverse (tptp.divide @t20 (tptp.divide @t13 @t6)))) % 28.02/28.20 (define @t22 () (= tptp.b2 @t11)) % 28.02/28.20 (define @t23 () (tptp.divide @t7 (tptp.inverse (tptp.divide (tptp.divide tptp.b2 @t7) (tptp.divide @t7 @t7))))) % 28.02/28.20 (define @t24 () (= tptp.b2 @t23)) % 28.02/28.20 (define @t25 () (= @t8 (tptp.divide @t7 (tptp.inverse tptp.a2)))) % 28.02/28.20 (define @t26 () (tptp.divide @t7 @t13)) % 28.02/28.20 (define @t27 () (= @t7 @t26)) % 28.02/28.20 (define @t28 () (tptp.divide @t26 @t14)) % 28.02/28.20 (define @t29 () (tptp.inverse @t28)) % 28.02/28.20 (define @t30 () (tptp.divide @t13 @t29)) % 28.02/28.20 (define @t31 () (= @t7 @t30)) % 28.02/28.20 (define @t32 () (tptp.divide @t13 @t15)) % 28.02/28.20 (define @t33 () (= tptp.b2 @t32)) % 28.02/28.20 (define @t34 () (= @t13 (tptp.divide @t13 (tptp.inverse (tptp.divide @t32 @t32))))) % 28.02/28.20 (define @t35 () (= @t7 @t20)) % 28.02/28.20 (define @t36 () (tptp.divide @t13 @t21)) % 28.02/28.20 (define @t37 () (= @t6 @t36)) % 28.02/28.20 (define @t38 () (tptp.divide tptp.a2 @t16)) % 28.02/28.20 (define @t39 () (= tptp.b2 @t38)) % 28.02/28.20 (define @t40 () (= tptp.b2 @t17)) % 28.02/28.20 (define @t41 () (= tptp.a2 (tptp.divide tptp.a2 (tptp.inverse (tptp.divide @t38 @t38))))) % 28.02/28.20 (define @t42 () (tptp.divide @t7 @t19)) % 28.02/28.20 (define @t43 () (tptp.divide tptp.a2 @t19)) % 28.02/28.20 (define @t44 () (tptp.divide @t43 @t42)) % 28.02/28.20 (define @t45 () (tptp.inverse @t44)) % 28.02/28.20 (define @t46 () (tptp.divide @t7 @t45)) % 28.02/28.20 (define @t47 () (= tptp.a2 @t46)) % 28.02/28.20 (define @t48 () (= @t13 (tptp.divide @t13 (tptp.inverse (tptp.divide @t36 @t36))))) % 28.02/28.20 (define @t49 () (tptp.divide @t23 @t23)) % 28.02/28.20 (define @t50 () (tptp.inverse @t49)) % 28.02/28.20 (define @t51 () (tptp.inverse @t7)) % 28.02/28.20 (define @t52 () (= tptp.a2 @t8)) % 28.02/28.20 (define @t53 () (and @t22 @t24 @t25 @t27 @t31 @t33 @t34 @t35 @t37 @t39 @t40 @t41 @t47 @t48)) % 28.02/28.20 (assume @p1 @t5) % 28.02/28.20 (assume @p2 (forall (@list @t3 @t1) (= (tptp.multiply @t3 @t1) (tptp.divide @t3 (tptp.inverse @t1))))) % 28.02/28.20 (assume @p3 (not (= @t8 tptp.a2))) % 28.02/28.20 (step @p4 :rule symm :premises (@p3)) % 28.02/28.20 (step @p5 :rule eq-symm :args (@t4 @t1)) % 28.02/28.20 (step @p6 :rule cong :premises (@p5) :args (@t5)) % 28.02/28.20 (step @p7 :rule eq_resolve :premises (@p1 @p6)) % 28.02/28.20 (step @p8 :rule instantiate :premises (@p7) :args ((@list @t7 tptp.b2 tptp.b2))) % 28.02/28.20 (step @p9 :rule instantiate :premises (@p7) :args ((@list @t7 tptp.b2 @t7))) % 28.02/28.20 (step @p10 :rule instantiate :premises (@p2) :args ((@list @t7 tptp.a2))) % 28.02/28.20 (step @p11 :rule instantiate :premises (@p7) :args ((@list @t7 @t7 @t10))) % 28.02/28.20 (step @p12 :rule instantiate :premises (@p7) :args ((@list @t13 @t7 @t13))) % 28.02/28.20 (step @p13 :rule instantiate :premises (@p7) :args ((@list @t13 tptp.b2 @t13))) % 28.02/28.20 (step @p14 :rule instantiate :premises (@p7) :args ((@list @t13 @t13 @t15))) % 28.02/28.20 (step @p15 :rule instantiate :premises (@p2) :args ((@list @t6 tptp.b2))) % 28.02/28.20 (step @p16 :rule instantiate :premises (@p7) :args ((@list @t13 @t6 @t6))) % 28.02/28.20 (step @p17 :rule instantiate :premises (@p7) :args ((@list tptp.a2 tptp.b2 tptp.b2))) % 28.02/28.20 (step @p18 :rule instantiate :premises (@p7) :args ((@list tptp.a2 tptp.b2 tptp.a2))) % 28.02/28.20 (step @p19 :rule instantiate :premises (@p7) :args ((@list tptp.a2 tptp.a2 @t16))) % 28.02/28.20 (step @p20 :rule instantiate :premises (@p7) :args ((@list @t7 tptp.a2 @t19))) % 28.02/28.20 (step @p21 :rule instantiate :premises (@p7) :args ((@list @t13 @t13 @t21))) % 28.02/28.20 (assume-push @p105 @t22) % 28.02/28.20 (assume-push @p106 @t24) % 28.02/28.20 (assume-push @p107 @t25) % 28.02/28.20 (assume-push @p108 @t27) % 28.02/28.20 (assume-push @p109 @t31) % 28.02/28.20 (assume-push @p110 @t33) % 28.02/28.20 (assume-push @p111 @t34) % 28.02/28.20 (assume-push @p112 @t35) % 28.02/28.20 (assume-push @p113 @t37) % 28.02/28.20 (assume-push @p114 @t39) % 28.02/28.20 (assume-push @p115 @t40) % 28.02/28.20 (assume-push @p116 @t41) % 28.02/28.20 (assume-push @p117 @t47) % 28.02/28.20 (assume-push @p118 @t48) % 28.02/28.20 (step @p36 :rule symm :premises (@p10)) % 28.02/28.20 (step @p37 :rule symm :premises (@p19)) % 28.02/28.20 (step @p38 :rule cong :premises (@p17 @p17) :args (@t9)) % 28.02/28.20 (step @p39 :rule symm :premises (@p9)) % 28.02/28.20 (step @p40 :rule cong :premises (@p39 @p39) :args (@t49)) % 28.02/28.20 (step @p41 :rule trans :premises (@p40 @p38)) % 28.02/28.20 (step @p42 :rule cong :premises (@p41) :args (@t50)) % 28.02/28.20 (step @p43 :rule symm :premises (@p40)) % 28.02/28.20 (step @p44 :rule symm :premises (@p18)) % 28.02/28.20 (step @p45 :rule cong :premises (@p44 @p44) :args (@t18)) % 28.02/28.20 (step @p46 :rule trans :premises (@p45 @p43)) % 28.02/28.20 (step @p47 :rule cong :premises (@p46) :args (@t19)) % 28.02/28.20 (step @p48 :rule trans :premises (@p47 @p42)) % 28.02/28.20 (step @p49 :rule refl :args (tptp.a2)) % 28.02/28.20 (step @p50 :rule cong :premises (@p49 @p48) :args (@t43)) % 28.02/28.20 (step @p51 :rule symm :premises (@p47)) % 28.02/28.20 (step @p52 :rule symm :premises (@p8)) % 28.02/28.20 (step @p53 :rule cong :premises (@p52 @p52) :args (@t12)) % 28.02/28.20 (step @p54 :rule trans :premises (@p53 @p43)) % 28.02/28.20 (step @p55 :rule cong :premises (@p54) :args (@t13)) % 28.02/28.20 (step @p56 :rule symm :premises (@p21)) % 28.02/28.20 (step @p57 :rule cong :premises (@p16 @p16) :args (@t20)) % 28.02/28.20 (step @p58 :rule trans :premises (@p15 @p57)) % 28.02/28.20 (step @p59 :rule cong :premises (@p58) :args (@t51)) % 28.02/28.20 (step @p60 :rule refl :args (@t13)) % 28.02/28.20 (step @p61 :rule cong :premises (@p60 @p59) :args ((tptp.divide @t13 @t51))) % 28.02/28.20 (step @p62 :rule symm :premises (@p11)) % 28.02/28.20 (step @p63 :rule symm :premises (@p55)) % 28.02/28.20 (step @p64 :rule refl :args (@t7)) % 28.02/28.20 (step @p65 :rule cong :premises (@p64 @p63) :args ((tptp.divide @t7 @t50))) % 28.02/28.20 (step @p66 :rule symm :premises (@p14)) % 28.02/28.20 (step @p67 :rule cong :premises (@p13 @p13) :args (@t9)) % 28.02/28.20 (step @p68 :rule trans :premises (@p40 @p67)) % 28.02/28.20 (step @p69 :rule cong :premises (@p68) :args (@t50)) % 28.02/28.20 (step @p70 :rule trans :premises (@p55 @p69)) % 28.02/28.20 (step @p71 :rule cong :premises (@p60 @p70) :args (@t14)) % 28.02/28.20 (step @p72 :rule trans :premises (@p71 @p66 @p55)) % 28.02/28.20 (step @p73 :rule cong :premises (@p62 @p72) :args (@t28)) % 28.02/28.20 (step @p74 :rule trans :premises (@p73 @p65 @p62)) % 28.02/28.20 (step @p75 :rule cong :premises (@p74) :args (@t29)) % 28.02/28.20 (step @p76 :rule cong :premises (@p60 @p75) :args (@t30)) % 28.02/28.20 (step @p77 :rule cong :premises (@p64 @p47) :args (@t42)) % 28.02/28.20 (step @p78 :rule trans :premises (@p77 @p65 @p62 @p12 @p76 @p61 @p56 @p55 @p51)) % 28.02/28.20 (step @p79 :rule trans :premises (@p50 @p37)) % 28.02/28.20 (step @p80 :rule cong :premises (@p79 @p78) :args (@t44)) % 28.02/28.20 (step @p81 :rule trans :premises (@p80 @p50 @p37)) % 28.02/28.20 (step @p82 :rule cong :premises (@p81) :args (@t45)) % 28.02/28.20 (step @p83 :rule cong :premises (@p64 @p82) :args (@t46)) % 28.02/28.20 (step @p84 :rule trans :premises (@p20 @p83 @p36)) % 28.02/28.20 (step-pop @p119 :rule scope :premises (@p84)) % 28.02/28.20 (step-pop @p120 :rule scope :premises (@p119)) % 28.02/28.20 (step-pop @p121 :rule scope :premises (@p120)) % 28.02/28.20 (step-pop @p122 :rule scope :premises (@p121)) % 28.02/28.20 (step-pop @p123 :rule scope :premises (@p122)) % 28.02/28.20 (step-pop @p124 :rule scope :premises (@p123)) % 28.02/28.20 (step-pop @p125 :rule scope :premises (@p124)) % 28.02/28.20 (step-pop @p126 :rule scope :premises (@p125)) % 28.02/28.20 (step-pop @p127 :rule scope :premises (@p126)) % 28.02/28.20 (step-pop @p128 :rule scope :premises (@p127)) % 28.02/28.20 (step-pop @p129 :rule scope :premises (@p128)) % 28.02/28.20 (step-pop @p130 :rule scope :premises (@p129)) % 28.02/28.20 (step-pop @p131 :rule scope :premises (@p130)) % 28.02/28.20 (step-pop @p132 :rule scope :premises (@p131)) % 28.02/28.20 (step @p85 :rule process_scope :premises (@p132) :args (@t52)) % 28.02/28.20 (step @p100 :rule implies_elim :premises (@p85)) % 28.02/28.20 (step @p101 :rule cnf_and_neg :args (@t53)) % 28.02/28.20 (step @p102 :rule resolution :premises (@p101 @p100) :args (true @t53)) % 28.02/28.20 (step @p103 :rule reordering :premises (@p102) :args ((or @t52 (not @t22) (not @t24) (not @t25) (not @t27) (not @t31) (not @t33) (not @t34) (not @t35) (not @t37) (not @t39) (not @t40) (not @t41) (not @t47) (not @t48)))) % 28.02/28.20 (step @p104 false :rule chain_m_resolution :premises (@p103 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p13 @p12 @p11 @p10 @p9 @p8 @p4) :args (false (@list false false false false false false false false false false false false false false true) (@list @t48 @t47 @t41 @t40 @t39 @t37 @t35 @t34 @t33 @t31 @t27 @t25 @t24 @t22 @t52))) % 28.02/28.20 ) % 28.02/28.20 % SZS output end Proof % 28.02/28.20 % cvc5 exiting %------------------------------------------------------------------------------