%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP445-1 : 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 : n016.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 08:20:44 AM UTC 2026 % Result : Unsatisfiable 1.34s 1.55s % Output : Proof 1.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP445-1 : TPTP v9.2.1. Released v2.6.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.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 01:08:24 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----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... % 1.34/1.55 % SZS status Unsatisfiable % 1.34/1.55 % SZS output start Proof % 1.34/1.56 ( % 1.34/1.56 (declare-sort $$unsorted 0) % 1.34/1.56 (declare-const tptp.a1 $$unsorted) % 1.34/1.56 (declare-const tptp.b1 $$unsorted) % 1.34/1.56 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 1.34/1.56 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.56 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.56 (define @t1 () (@var "B" $$unsorted)) % 1.34/1.56 (define @t2 () (@var "C" $$unsorted)) % 1.34/1.56 (define @t3 () (@var "A" $$unsorted)) % 1.34/1.56 (define @t4 () (tptp.divide @t3 @t3)) % 1.34/1.56 (define @t5 () (tptp.divide @t3 (tptp.divide (tptp.divide (tptp.divide @t4 @t1) @t2) (tptp.divide (tptp.divide @t4 @t3) @t2)))) % 1.34/1.56 (define @t6 () (@list @t3 @t1 @t2)) % 1.34/1.56 (define @t7 () (forall @t6 (= @t5 @t1))) % 1.34/1.56 (define @t8 () (forall (@list @t3 @t1) (= (tptp.inverse @t3) (tptp.divide (tptp.divide @t1 @t1) @t3)))) % 1.34/1.56 (define @t9 () (tptp.inverse tptp.b1)) % 1.34/1.56 (define @t10 () (tptp.multiply @t9 tptp.b1)) % 1.34/1.56 (define @t11 () (tptp.inverse tptp.a1)) % 1.34/1.56 (define @t12 () (tptp.multiply @t11 tptp.a1)) % 1.34/1.56 (define @t13 () (= @t12 @t10)) % 1.34/1.56 (define @t14 () (tptp.divide tptp.a1 tptp.a1)) % 1.34/1.56 (define @t15 () (tptp.divide @t14 tptp.a1)) % 1.34/1.56 (define @t16 () (tptp.divide @t15 tptp.a1)) % 1.34/1.56 (define @t17 () (tptp.divide (tptp.divide tptp.b1 tptp.b1) tptp.b1)) % 1.34/1.56 (define @t18 () (tptp.divide @t16 @t16)) % 1.34/1.56 (define @t19 () (tptp.divide (tptp.divide @t18 @t16) @t17)) % 1.34/1.56 (define @t20 () (tptp.inverse @t19)) % 1.34/1.56 (define @t21 () (tptp.divide @t9 @t9)) % 1.34/1.56 (define @t22 () (tptp.divide @t21 @t19)) % 1.34/1.56 (define @t23 () (= @t20 @t22)) % 1.34/1.56 (define @t24 () (@list @t19 @t9)) % 1.34/1.56 (define @t25 () (= @t22 @t20)) % 1.34/1.56 (define @t26 () (tptp.divide @t17 tptp.b1)) % 1.34/1.56 (define @t27 () (tptp.divide @t17 tptp.a1)) % 1.34/1.56 (define @t28 () (tptp.divide @t15 @t15)) % 1.34/1.56 (define @t29 () (tptp.divide (tptp.divide (tptp.divide @t27 @t27) @t27) @t15)) % 1.34/1.56 (define @t30 () (tptp.divide @t17 @t17)) % 1.34/1.56 (define @t31 () (tptp.divide @t28 @t28)) % 1.34/1.56 (define @t32 () (tptp.divide @t31 @t28)) % 1.34/1.56 (define @t33 () (tptp.divide (tptp.divide (tptp.divide @t31 @t30) @t29) (tptp.divide @t32 @t29))) % 1.34/1.56 (define @t34 () (tptp.divide @t32 @t27)) % 1.34/1.56 (define @t35 () (tptp.divide @t34 @t34)) % 1.34/1.56 (define @t36 () (= @t11 @t15)) % 1.34/1.56 (define @t37 () (= @t10 (tptp.divide @t9 @t17))) % 1.34/1.56 (define @t38 () (tptp.divide @t11 @t15)) % 1.34/1.56 (define @t39 () (= @t12 @t38)) % 1.34/1.56 (define @t40 () (= @t9 @t17)) % 1.34/1.56 (define @t41 () (tptp.divide @t14 tptp.b1)) % 1.34/1.56 (define @t42 () (= @t9 @t41)) % 1.34/1.56 (define @t43 () (tptp.divide @t18 tptp.a1)) % 1.34/1.56 (define @t44 () (= @t11 @t43)) % 1.34/1.56 (define @t45 () (tptp.divide @t18 tptp.b1)) % 1.34/1.56 (define @t46 () (= @t9 @t45)) % 1.34/1.56 (define @t47 () (tptp.divide @t11 @t11)) % 1.34/1.56 (define @t48 () (= @t20 (tptp.divide @t47 @t19))) % 1.34/1.56 (define @t49 () (= @t20 (tptp.divide (tptp.divide @t26 @t26) @t19))) % 1.34/1.56 (define @t50 () (= @t28 (tptp.divide @t28 @t35))) % 1.34/1.56 (define @t51 () (= @t30 (tptp.divide @t28 @t33))) % 1.34/1.56 (define @t52 () (tptp.divide (tptp.divide @t47 @t11) @t19)) % 1.34/1.56 (define @t53 () (tptp.divide @t47 @t33)) % 1.34/1.56 (define @t54 () (= @t33 (tptp.divide @t11 (tptp.divide (tptp.divide @t53 @t19) @t52)))) % 1.34/1.56 (define @t55 () (tptp.divide @t47 @t35)) % 1.34/1.56 (define @t56 () (tptp.divide @t55 @t19)) % 1.34/1.56 (define @t57 () (tptp.divide @t56 @t52)) % 1.34/1.56 (define @t58 () (tptp.divide @t11 @t57)) % 1.34/1.56 (define @t59 () (= @t35 @t58)) % 1.34/1.56 (define @t60 () (tptp.divide @t45 @t17)) % 1.34/1.56 (define @t61 () (and @t36 @t37 @t39 @t40 @t42 @t44 @t46 @t25 @t48 @t49 @t50 @t51 @t54 @t59)) % 1.34/1.56 (assume @p1 @t7) % 1.34/1.56 (assume @p2 (forall @t6 (= (tptp.multiply @t3 @t1) (tptp.divide @t3 (tptp.divide (tptp.divide @t2 @t2) @t1))))) % 1.34/1.56 (assume @p3 @t8) % 1.34/1.56 (assume @p4 (not @t13)) % 1.34/1.56 (step @p5 :rule instantiate :premises (@p3) :args ((@list tptp.a1 tptp.a1))) % 1.34/1.56 (step @p6 :rule instantiate :premises (@p2) :args ((@list @t9 tptp.b1 tptp.b1))) % 1.34/1.56 (step @p7 :rule instantiate :premises (@p2) :args ((@list @t11 tptp.a1 tptp.a1))) % 1.34/1.56 (step @p8 :rule instantiate :premises (@p3) :args ((@list tptp.b1 tptp.b1))) % 1.34/1.56 (step @p9 :rule instantiate :premises (@p3) :args ((@list tptp.b1 tptp.a1))) % 1.34/1.56 (step @p10 :rule instantiate :premises (@p3) :args ((@list tptp.a1 @t16))) % 1.34/1.56 (step @p11 :rule instantiate :premises (@p3) :args ((@list tptp.b1 @t16))) % 1.34/1.56 (step @p12 :rule eq-symm :args (@t20 @t22)) % 1.34/1.56 (step @p13 :rule refl :args (@t8)) % 1.34/1.56 (step @p14 :rule cong :premises (@p13 @p12) :args ((=> @t8 @t23))) % 1.34/1.56 (assume-push @p123 @t8) % 1.34/1.56 (step @p16 :rule instantiate :premises (@p3) :args (@t24)) % 1.34/1.56 (step-pop @p124 :rule scope :premises (@p16)) % 1.34/1.56 (step @p17 :rule process_scope :premises (@p124) :args (@t23)) % 1.34/1.56 (step @p19 :rule eq_resolve :premises (@p17 @p14)) % 1.34/1.56 (step @p20 :rule implies_elim :premises (@p19)) % 1.34/1.56 (step @p21 :rule chain_m_resolution :premises (@p20 @p3) :args (@t25 (@list false) (@list @t8))) % 1.34/1.56 (step @p22 :rule instantiate :premises (@p3) :args ((@list @t19 @t11))) % 1.34/1.56 (step @p23 :rule instantiate :premises (@p3) :args ((@list @t19 @t26))) % 1.34/1.56 (step @p24 :rule eq-symm :args (@t5 @t1)) % 1.34/1.56 (step @p25 :rule cong :premises (@p24) :args (@t7)) % 1.34/1.56 (step @p26 :rule eq_resolve :premises (@p1 @p25)) % 1.34/1.56 (step @p27 :rule instantiate :premises (@p26) :args ((@list @t28 @t28 @t27))) % 1.34/1.56 (step @p28 :rule instantiate :premises (@p26) :args ((@list @t28 @t30 @t29))) % 1.34/1.56 (step @p29 :rule instantiate :premises (@p26) :args ((@list @t11 @t33 @t19))) % 1.34/1.56 (step @p30 :rule instantiate :premises (@p26) :args ((@list @t11 @t35 @t19))) % 1.34/1.56 (assume-push @p125 @t36) % 1.34/1.56 (assume-push @p126 @t37) % 1.34/1.56 (assume-push @p127 @t39) % 1.34/1.56 (assume-push @p128 @t40) % 1.34/1.56 (assume-push @p129 @t42) % 1.34/1.56 (assume-push @p130 @t44) % 1.34/1.56 (assume-push @p131 @t46) % 1.34/1.56 (assume-push @p132 @t25) % 1.34/1.56 (assume-push @p133 @t48) % 1.34/1.56 (assume-push @p134 @t49) % 1.34/1.56 (assume-push @p135 @t50) % 1.34/1.56 (assume-push @p136 @t51) % 1.34/1.56 (assume-push @p137 @t54) % 1.34/1.56 (assume-push @p138 @t59) % 1.34/1.56 (step @p45 :rule symm :premises (@p6)) % 1.34/1.56 (step @p46 :rule refl :args (@t17)) % 1.34/1.56 (step @p47 :rule symm :premises (@p8)) % 1.34/1.56 (step @p48 :rule cong :premises (@p47 @p46) :args (@t30)) % 1.34/1.56 (step @p49 :rule symm :premises (@p28)) % 1.34/1.56 (step @p50 :rule refl :args (@t33)) % 1.34/1.56 (step @p51 :rule refl :args (@t15)) % 1.34/1.56 (step @p52 :rule cong :premises (@p5 @p51) :args (@t38)) % 1.34/1.56 (step @p53 :rule symm :premises (@p10)) % 1.34/1.56 (step @p54 :rule cong :premises (@p53 @p51) :args ((tptp.divide @t43 @t15))) % 1.34/1.56 (step @p55 :rule trans :premises (@p54 @p52)) % 1.34/1.56 (step @p56 :rule symm :premises (@p54)) % 1.34/1.56 (step @p57 :rule refl :args (@t11)) % 1.34/1.56 (step @p58 :rule cong :premises (@p57 @p5) :args (@t47)) % 1.34/1.56 (step @p59 :rule trans :premises (@p58 @p56)) % 1.34/1.56 (step @p60 :rule trans :premises (@p59 @p55)) % 1.34/1.56 (step @p61 :rule cong :premises (@p60 @p50) :args (@t53)) % 1.34/1.56 (step @p62 :rule symm :premises (@p29)) % 1.34/1.56 (step @p63 :rule refl :args (@t52)) % 1.34/1.56 (step @p64 :rule refl :args (@t19)) % 1.34/1.56 (step @p65 :rule symm :premises (@p61)) % 1.34/1.56 (step @p66 :rule symm :premises (@p48)) % 1.34/1.56 (step @p67 :rule symm :premises (@p9)) % 1.34/1.56 (step @p68 :rule cong :premises (@p67 @p46) :args ((tptp.divide @t41 @t17))) % 1.34/1.56 (step @p69 :rule trans :premises (@p68 @p66 @p28 @p65)) % 1.34/1.56 (step @p70 :rule symm :premises (@p68)) % 1.34/1.56 (step @p71 :rule symm :premises (@p11)) % 1.34/1.56 (step @p72 :rule cong :premises (@p71 @p46) :args (@t60)) % 1.34/1.56 (step @p73 :rule trans :premises (@p72 @p70)) % 1.34/1.56 (step @p74 :rule trans :premises (@p73 @p69)) % 1.34/1.56 (step @p75 :rule cong :premises (@p74 @p64) :args ((tptp.divide @t60 @t19))) % 1.34/1.56 (step @p76 :rule symm :premises (@p73)) % 1.34/1.56 (step @p77 :rule refl :args (@t9)) % 1.34/1.56 (step @p78 :rule cong :premises (@p77 @p8) :args (@t21)) % 1.34/1.56 (step @p79 :rule trans :premises (@p78 @p70)) % 1.34/1.56 (step @p80 :rule trans :premises (@p79 @p76)) % 1.34/1.56 (step @p81 :rule cong :premises (@p80 @p64) :args (@t22)) % 1.34/1.56 (step @p16 :rule instantiate :premises (@p3) :args (@t24)) % 1.34/1.56 (step @p82 :rule symm :premises (@p23)) % 1.34/1.56 (step @p83 :rule trans :premises (@p82 @p16 @p81 @p75)) % 1.34/1.56 (step @p84 :rule symm :premises (@p22)) % 1.34/1.56 (step @p85 :rule symm :premises (@p59)) % 1.34/1.56 (step @p86 :rule symm :premises (@p52)) % 1.34/1.56 (step @p87 :rule symm :premises (@p27)) % 1.34/1.56 (step @p88 :rule refl :args (@t35)) % 1.34/1.56 (step @p89 :rule cong :premises (@p60 @p88) :args (@t55)) % 1.34/1.56 (step @p90 :rule trans :premises (@p89 @p87 @p86 @p56)) % 1.34/1.56 (step @p91 :rule trans :premises (@p90 @p85)) % 1.34/1.56 (step @p92 :rule cong :premises (@p91 @p64) :args (@t56)) % 1.34/1.56 (step @p93 :rule trans :premises (@p92 @p84 @p23)) % 1.34/1.56 (step @p94 :rule trans :premises (@p93 @p83)) % 1.34/1.56 (step @p95 :rule cong :premises (@p94 @p63) :args (@t57)) % 1.34/1.56 (step @p96 :rule cong :premises (@p57 @p95) :args (@t58)) % 1.34/1.56 (step @p97 :rule trans :premises (@p30 @p96 @p62)) % 1.34/1.56 (step @p98 :rule cong :premises (@p91 @p97) :args ((tptp.divide @t55 @t35))) % 1.34/1.56 (step @p99 :rule symm :premises (@p91)) % 1.34/1.56 (step @p100 :rule cong :premises (@p99 @p88) :args (@t55)) % 1.34/1.56 (step @p101 :rule symm :premises (@p89)) % 1.34/1.56 (step @p102 :rule trans :premises (@p7 @p52 @p27 @p101 @p100 @p98 @p61 @p49 @p48 @p45)) % 1.34/1.56 (step-pop @p139 :rule scope :premises (@p102)) % 1.34/1.56 (step-pop @p140 :rule scope :premises (@p139)) % 1.34/1.56 (step-pop @p141 :rule scope :premises (@p140)) % 1.34/1.56 (step-pop @p142 :rule scope :premises (@p141)) % 1.34/1.56 (step-pop @p143 :rule scope :premises (@p142)) % 1.34/1.56 (step-pop @p144 :rule scope :premises (@p143)) % 1.34/1.56 (step-pop @p145 :rule scope :premises (@p144)) % 1.34/1.56 (step-pop @p146 :rule scope :premises (@p145)) % 1.34/1.56 (step-pop @p147 :rule scope :premises (@p146)) % 1.34/1.56 (step-pop @p148 :rule scope :premises (@p147)) % 1.34/1.56 (step-pop @p149 :rule scope :premises (@p148)) % 1.34/1.56 (step-pop @p150 :rule scope :premises (@p149)) % 1.34/1.56 (step-pop @p151 :rule scope :premises (@p150)) % 1.34/1.56 (step-pop @p152 :rule scope :premises (@p151)) % 1.34/1.56 (step @p103 :rule process_scope :premises (@p152) :args (@t13)) % 1.34/1.56 (step @p118 :rule implies_elim :premises (@p103)) % 1.34/1.56 (step @p119 :rule cnf_and_neg :args (@t61)) % 1.34/1.56 (step @p120 :rule resolution :premises (@p119 @p118) :args (true @t61)) % 1.34/1.56 (step @p121 :rule reordering :premises (@p120) :args ((or @t13 (not @t36) (not @t37) (not @t39) (not @t40) (not @t42) (not @t44) (not @t46) (not @t25) (not @t48) (not @t49) (not @t50) (not @t51) (not @t54) (not @t59)))) % 1.34/1.56 (step @p122 false :rule chain_m_resolution :premises (@p121 @p30 @p29 @p28 @p27 @p23 @p22 @p21 @p11 @p10 @p9 @p8 @p7 @p6 @p5 @p4) :args (false (@list false false false false false false false false false false false false false false true) (@list @t59 @t54 @t51 @t50 @t49 @t48 @t25 @t46 @t44 @t42 @t40 @t39 @t37 @t36 @t13))) % 1.34/1.56 ) % 1.34/1.56 % SZS output end Proof % 1.34/1.56 % cvc5 exiting %------------------------------------------------------------------------------