%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP530-1 : TPTP v9.2.1. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 15.94s 16.14s % Output : Proof 15.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP530-1 : TPTP v9.2.1. Released v2.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.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 01:15:32 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.56 --- Run --no-e-matching --full-saturate-quant at 6... % 15.94/16.14 % SZS status Unsatisfiable % 15.94/16.14 % SZS output start Proof % 15.94/16.14 ( % 15.94/16.14 (declare-sort $$unsorted 0) % 15.94/16.14 (declare-const tptp.b2 $$unsorted) % 15.94/16.14 (declare-const tptp.a2 $$unsorted) % 15.94/16.14 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 15.94/16.14 (define @t1 () (@var "C" $$unsorted)) % 15.94/16.14 (define @t2 () (@var "B" $$unsorted)) % 15.94/16.14 (define @t3 () (@var "A" $$unsorted)) % 15.94/16.14 (define @t4 () (tptp.divide (tptp.divide @t3 (tptp.divide @t2 @t1)) (tptp.divide @t3 @t2))) % 15.94/16.14 (define @t5 () (@list @t3 @t2 @t1)) % 15.94/16.14 (define @t6 () (forall @t5 (= @t4 @t1))) % 15.94/16.14 (define @t7 () (forall (@list @t3 @t2) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t2 @t2) @t3)))) % 15.94/16.14 (define @t8 () (tptp.inverse tptp.b2)) % 15.94/16.14 (define @t9 () (tptp.multiply @t8 tptp.b2)) % 15.94/16.14 (define @t10 () (tptp.multiply @t9 tptp.a2)) % 15.94/16.14 (define @t11 () (tptp.inverse @t8)) % 15.94/16.14 (define @t12 () (tptp.divide tptp.b2 tptp.b2)) % 15.94/16.14 (define @t13 () (tptp.divide @t12 @t8)) % 15.94/16.14 (define @t14 () (= @t11 @t13)) % 15.94/16.14 (define @t15 () (@list @t8 tptp.b2)) % 15.94/16.14 (define @t16 () (= @t13 @t11)) % 15.94/16.14 (define @t17 () (tptp.divide tptp.b2 @t12)) % 15.94/16.14 (define @t18 () (tptp.divide @t17 tptp.b2)) % 15.94/16.14 (define @t19 () (tptp.divide tptp.b2 @t17)) % 15.94/16.14 (define @t20 () (tptp.divide tptp.b2 (tptp.divide tptp.b2 tptp.a2))) % 15.94/16.14 (define @t21 () (tptp.divide @t17 @t12)) % 15.94/16.14 (define @t22 () (= tptp.b2 @t21)) % 15.94/16.14 (define @t23 () (tptp.divide @t12 tptp.b2)) % 15.94/16.14 (define @t24 () (= @t8 @t23)) % 15.94/16.14 (define @t25 () (tptp.divide @t20 @t12)) % 15.94/16.14 (define @t26 () (= tptp.a2 @t25)) % 15.94/16.14 (define @t27 () (= @t9 (tptp.divide @t8 @t23))) % 15.94/16.14 (define @t28 () (tptp.divide @t12 @t12)) % 15.94/16.14 (define @t29 () (= @t11 (tptp.divide @t28 @t8))) % 15.94/16.14 (define @t30 () (tptp.divide @t28 @t23)) % 15.94/16.14 (define @t31 () (= tptp.b2 @t30)) % 15.94/16.14 (define @t32 () (= @t8 (tptp.divide (tptp.divide tptp.b2 @t13) @t17))) % 15.94/16.14 (define @t33 () (tptp.divide @t12 @t17)) % 15.94/16.14 (define @t34 () (tptp.divide @t12 @t21)) % 15.94/16.14 (define @t35 () (tptp.divide @t34 @t33)) % 15.94/16.14 (define @t36 () (= @t12 @t35)) % 15.94/16.14 (define @t37 () (tptp.divide tptp.b2 @t18)) % 15.94/16.14 (define @t38 () (tptp.divide @t37 @t19)) % 15.94/16.14 (define @t39 () (= tptp.b2 @t38)) % 15.94/16.14 (define @t40 () (= tptp.b2 (tptp.divide @t21 @t18))) % 15.94/16.14 (define @t41 () (tptp.divide tptp.b2 @t37)) % 15.94/16.14 (define @t42 () (tptp.divide @t41 @t12)) % 15.94/16.14 (define @t43 () (= @t18 @t42)) % 15.94/16.14 (define @t44 () (= @t19 (tptp.divide (tptp.divide tptp.b2 (tptp.divide tptp.b2 @t19)) @t12))) % 15.94/16.14 (define @t45 () (= @t12 (tptp.divide (tptp.divide tptp.b2 @t28) @t17))) % 15.94/16.14 (define @t46 () (= @t12 (tptp.divide (tptp.divide @t20 @t28) @t25))) % 15.94/16.14 (define @t47 () (tptp.divide @t12 tptp.a2)) % 15.94/16.14 (define @t48 () (tptp.divide tptp.a2 tptp.a2)) % 15.94/16.14 (define @t49 () (tptp.divide @t12 @t48)) % 15.94/16.14 (define @t50 () (tptp.divide @t49 @t47)) % 15.94/16.14 (define @t51 () (= tptp.a2 @t50)) % 15.94/16.14 (define @t52 () (= @t10 (tptp.divide @t9 @t47))) % 15.94/16.14 (define @t53 () (= tptp.a2 @t10)) % 15.94/16.14 (define @t54 () (and @t22 @t24 @t26 @t27 @t16 @t29 @t31 @t32 @t36 @t39 @t40 @t43 @t44 @t45 @t46 @t51 @t52)) % 15.94/16.14 (assume @p1 @t6) % 15.94/16.14 (assume @p2 (forall @t5 (= (tptp.multiply @t3 @t2) (tptp.divide @t3 (tptp.divide (tptp.divide @t1 @t1) @t2))))) % 15.94/16.14 (assume @p3 @t7) % 15.94/16.14 (assume @p4 (not (= @t10 tptp.a2))) % 15.94/16.14 (step @p5 :rule symm :premises (@p4)) % 15.94/16.14 (step @p6 :rule eq-symm :args (@t4 @t1)) % 15.94/16.14 (step @p7 :rule cong :premises (@p6) :args (@t6)) % 15.94/16.14 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 15.94/16.14 (step @p9 :rule instantiate :premises (@p8) :args ((@list tptp.b2 tptp.b2 tptp.b2))) % 15.94/16.14 (step @p10 :rule instantiate :premises (@p3) :args ((@list tptp.b2 tptp.b2))) % 15.94/16.14 (step @p11 :rule instantiate :premises (@p8) :args ((@list tptp.b2 tptp.b2 tptp.a2))) % 15.94/16.14 (step @p12 :rule instantiate :premises (@p2) :args ((@list @t8 tptp.b2 tptp.b2))) % 15.94/16.14 (step @p13 :rule eq-symm :args (@t11 @t13)) % 15.94/16.14 (step @p14 :rule refl :args (@t7)) % 15.94/16.14 (step @p15 :rule cong :premises (@p14 @p13) :args ((=> @t7 @t14))) % 15.94/16.14 (assume-push @p134 @t7) % 15.94/16.14 (step @p17 :rule instantiate :premises (@p3) :args (@t15)) % 15.94/16.14 (step-pop @p135 :rule scope :premises (@p17)) % 15.94/16.14 (step @p18 :rule process_scope :premises (@p135) :args (@t14)) % 15.94/16.14 (step @p20 :rule eq_resolve :premises (@p18 @p15)) % 15.94/16.14 (step @p21 :rule implies_elim :premises (@p20)) % 15.94/16.14 (step @p22 :rule chain_m_resolution :premises (@p21 @p3) :args (@t16 (@list false) (@list @t7))) % 15.94/16.14 (step @p23 :rule instantiate :premises (@p3) :args ((@list @t8 @t12))) % 15.94/16.14 (step @p24 :rule instantiate :premises (@p8) :args ((@list @t12 tptp.b2 tptp.b2))) % 15.94/16.14 (step @p25 :rule instantiate :premises (@p8) :args ((@list tptp.b2 @t12 @t8))) % 15.94/16.14 (step @p26 :rule instantiate :premises (@p8) :args ((@list @t12 @t17 @t12))) % 15.94/16.14 (step @p27 :rule instantiate :premises (@p8) :args ((@list tptp.b2 @t17 tptp.b2))) % 15.94/16.14 (step @p28 :rule instantiate :premises (@p8) :args ((@list @t17 tptp.b2 tptp.b2))) % 15.94/16.14 (step @p29 :rule instantiate :premises (@p8) :args ((@list tptp.b2 tptp.b2 @t18))) % 15.94/16.14 (step @p30 :rule instantiate :premises (@p8) :args ((@list tptp.b2 tptp.b2 @t19))) % 15.94/16.14 (step @p31 :rule instantiate :premises (@p8) :args ((@list tptp.b2 @t12 @t12))) % 15.94/16.14 (step @p32 :rule instantiate :premises (@p8) :args ((@list @t20 @t12 @t12))) % 15.94/16.14 (step @p33 :rule instantiate :premises (@p8) :args ((@list @t12 tptp.a2 tptp.a2))) % 15.94/16.14 (step @p34 :rule instantiate :premises (@p2) :args ((@list @t9 tptp.a2 tptp.b2))) % 15.94/16.14 (assume-push @p136 @t22) % 15.94/16.14 (assume-push @p137 @t24) % 15.94/16.14 (assume-push @p138 @t26) % 15.94/16.14 (assume-push @p139 @t27) % 15.94/16.14 (assume-push @p140 @t16) % 15.94/16.14 (assume-push @p141 @t29) % 15.94/16.14 (assume-push @p142 @t31) % 15.94/16.14 (assume-push @p143 @t32) % 15.94/16.14 (assume-push @p144 @t36) % 15.94/16.14 (assume-push @p145 @t39) % 15.94/16.14 (assume-push @p146 @t40) % 15.94/16.14 (assume-push @p147 @t43) % 15.94/16.14 (assume-push @p148 @t44) % 15.94/16.14 (assume-push @p149 @t45) % 15.94/16.14 (assume-push @p150 @t46) % 15.94/16.14 (assume-push @p151 @t51) % 15.94/16.14 (assume-push @p152 @t52) % 15.94/16.14 (step @p52 :rule symm :premises (@p34)) % 15.94/16.14 (step @p53 :rule refl :args (@t47)) % 15.94/16.14 (step @p54 :rule symm :premises (@p12)) % 15.94/16.14 (step @p55 :rule refl :args (@t8)) % 15.94/16.14 (step @p56 :rule cong :premises (@p55 @p10) :args ((tptp.divide @t8 @t8))) % 15.94/16.14 (step @p57 :rule trans :premises (@p56 @p54)) % 15.94/16.14 (step @p58 :rule symm :premises (@p56)) % 15.94/16.14 (step @p59 :rule symm :premises (@p25)) % 15.94/16.14 (step @p60 :rule refl :args (@t17)) % 15.94/16.14 (step @p17 :rule instantiate :premises (@p3) :args (@t15)) % 15.94/16.14 (step @p61 :rule symm :premises (@p23)) % 15.94/16.14 (step @p62 :rule symm :premises (@p10)) % 15.94/16.14 (step @p63 :rule refl :args (@t28)) % 15.94/16.14 (step @p64 :rule cong :premises (@p63 @p62) :args (@t30)) % 15.94/16.14 (step @p65 :rule trans :premises (@p24 @p64 @p61 @p17)) % 15.94/16.14 (step @p66 :rule refl :args (tptp.b2)) % 15.94/16.14 (step @p67 :rule cong :premises (@p66 @p65) :args (@t12)) % 15.94/16.14 (step @p68 :rule cong :premises (@p67 @p60) :args (@t33)) % 15.94/16.14 (step @p69 :rule trans :premises (@p68 @p59 @p10)) % 15.94/16.14 (step @p70 :rule symm :premises (@p9)) % 15.94/16.14 (step @p71 :rule refl :args (@t12)) % 15.94/16.14 (step @p72 :rule cong :premises (@p71 @p70) :args (@t34)) % 15.94/16.14 (step @p73 :rule trans :premises (@p72 @p62)) % 15.94/16.14 (step @p74 :rule cong :premises (@p73 @p69) :args (@t35)) % 15.94/16.14 (step @p75 :rule trans :premises (@p26 @p74 @p58)) % 15.94/16.14 (step @p76 :rule trans :premises (@p75 @p57)) % 15.94/16.14 (step @p77 :rule cong :premises (@p76 @p53) :args ((tptp.divide @t12 @t47))) % 15.94/16.14 (step @p78 :rule symm :premises (@p75)) % 15.94/16.14 (step @p79 :rule symm :premises (@p31)) % 15.94/16.14 (step @p80 :rule symm :premises (@p28)) % 15.94/16.14 (step @p81 :rule refl :args (@t18)) % 15.94/16.14 (step @p82 :rule cong :premises (@p9 @p81) :args (@t37)) % 15.94/16.14 (step @p83 :rule trans :premises (@p82 @p80)) % 15.94/16.14 (step @p84 :rule cong :premises (@p66 @p83) :args (@t41)) % 15.94/16.14 (step @p85 :rule cong :premises (@p84 @p71) :args (@t42)) % 15.94/16.14 (step @p86 :rule trans :premises (@p29 @p85)) % 15.94/16.14 (step @p87 :rule cong :premises (@p66 @p86) :args (@t37)) % 15.94/16.14 (step @p88 :rule symm :premises (@p82)) % 15.94/16.14 (step @p89 :rule trans :premises (@p28 @p88 @p87)) % 15.94/16.14 (step @p90 :rule cong :premises (@p89 @p60) :args (@t19)) % 15.94/16.14 (step @p91 :rule symm :premises (@p30)) % 15.94/16.14 (step @p92 :rule refl :args (@t19)) % 15.94/16.14 (step @p93 :rule cong :premises (@p83 @p92) :args (@t38)) % 15.94/16.14 (step @p94 :rule trans :premises (@p27 @p93)) % 15.94/16.14 (step @p95 :rule cong :premises (@p66 @p94) :args (@t12)) % 15.94/16.14 (step @p96 :rule cong :premises (@p95 @p71) :args (@t28)) % 15.94/16.14 (step @p97 :rule symm :premises (@p32)) % 15.94/16.14 (step @p98 :rule symm :premises (@p96)) % 15.94/16.14 (step @p99 :rule symm :premises (@p90)) % 15.94/16.14 (step @p100 :rule trans :premises (@p31 @p99 @p30 @p98)) % 15.94/16.14 (step @p101 :rule refl :args (@t20)) % 15.94/16.14 (step @p102 :rule cong :premises (@p101 @p100) :args (@t25)) % 15.94/16.14 (step @p103 :rule trans :premises (@p11 @p102)) % 15.94/16.14 (step @p104 :rule cong :premises (@p103 @p11) :args (@t48)) % 15.94/16.14 (step @p105 :rule trans :premises (@p104 @p97)) % 15.94/16.14 (step @p106 :rule cong :premises (@p71 @p105) :args (@t49)) % 15.94/16.14 (step @p107 :rule trans :premises (@p106 @p96 @p91 @p90 @p79 @p26 @p74 @p58)) % 15.94/16.14 (step @p108 :rule trans :premises (@p107 @p78)) % 15.94/16.14 (step @p109 :rule cong :premises (@p108 @p53) :args (@t50)) % 15.94/16.14 (step @p110 :rule trans :premises (@p33 @p109 @p77 @p52)) % 15.94/16.14 (step-pop @p153 :rule scope :premises (@p110)) % 15.94/16.14 (step-pop @p154 :rule scope :premises (@p153)) % 15.94/16.14 (step-pop @p155 :rule scope :premises (@p154)) % 15.94/16.14 (step-pop @p156 :rule scope :premises (@p155)) % 15.94/16.14 (step-pop @p157 :rule scope :premises (@p156)) % 15.94/16.14 (step-pop @p158 :rule scope :premises (@p157)) % 15.94/16.14 (step-pop @p159 :rule scope :premises (@p158)) % 15.94/16.14 (step-pop @p160 :rule scope :premises (@p159)) % 15.94/16.14 (step-pop @p161 :rule scope :premises (@p160)) % 15.94/16.14 (step-pop @p162 :rule scope :premises (@p161)) % 15.94/16.14 (step-pop @p163 :rule scope :premises (@p162)) % 15.94/16.14 (step-pop @p164 :rule scope :premises (@p163)) % 15.94/16.14 (step-pop @p165 :rule scope :premises (@p164)) % 15.94/16.14 (step-pop @p166 :rule scope :premises (@p165)) % 15.94/16.14 (step-pop @p167 :rule scope :premises (@p166)) % 15.94/16.14 (step-pop @p168 :rule scope :premises (@p167)) % 15.94/16.14 (step-pop @p169 :rule scope :premises (@p168)) % 15.94/16.14 (step @p111 :rule process_scope :premises (@p169) :args (@t53)) % 15.94/16.14 (step @p129 :rule implies_elim :premises (@p111)) % 15.94/16.14 (step @p130 :rule cnf_and_neg :args (@t54)) % 15.94/16.14 (step @p131 :rule resolution :premises (@p130 @p129) :args (true @t54)) % 15.94/16.14 (step @p132 :rule reordering :premises (@p131) :args ((or @t53 (not @t22) (not @t24) (not @t26) (not @t27) (not @t16) (not @t29) (not @t31) (not @t32) (not @t36) (not @t39) (not @t40) (not @t43) (not @t44) (not @t45) (not @t46) (not @t51) (not @t52)))) % 15.94/16.14 (step @p133 false :rule chain_m_resolution :premises (@p132 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p12 @p11 @p10 @p9 @p5) :args (false (@list false false false false false false false false false false false false false false false false false true) (@list @t52 @t51 @t46 @t45 @t44 @t43 @t40 @t39 @t36 @t32 @t31 @t29 @t16 @t27 @t26 @t24 @t22 @t53))) % 15.94/16.14 ) % 15.94/16.14 % SZS output end Proof % 15.94/16.14 % cvc5 exiting %------------------------------------------------------------------------------