%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG240-1 : TPTP v9.2.1. Released v4.0.0. % 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 08:05:37 AM UTC 2026 % Result : Unsatisfiable 27.44s 27.79s % Output : Proof 27.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG240-1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n020.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 01:51:40 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.30/15.55 --- Run --no-e-matching --full-saturate-quant at 6... % 21.31/21.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.31/27.60 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.44/27.79 % SZS status Unsatisfiable % 27.44/27.79 % SZS output start Proof % 27.44/27.79 ( % 27.44/27.79 (declare-sort $$unsorted 0) % 27.44/27.79 (declare-const tptp.a $$unsorted) % 27.44/27.79 (declare-const tptp.b $$unsorted) % 27.44/27.79 (declare-const tptp.d $$unsorted) % 27.44/27.79 (declare-const tptp.c $$unsorted) % 27.44/27.79 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 27.44/27.79 (define @t1 () (@var "C" $$unsorted)) % 27.44/27.79 (define @t2 () (@var "A" $$unsorted)) % 27.44/27.79 (define @t3 () (tptp.mult @t2 @t1)) % 27.44/27.79 (define @t4 () (@var "B" $$unsorted)) % 27.44/27.79 (define @t5 () (tptp.mult @t2 @t4)) % 27.44/27.79 (define @t6 () (tptp.mult @t4 @t1)) % 27.44/27.79 (define @t7 () (@list @t2 @t4 @t1)) % 27.44/27.79 (define @t8 () (@var "D" $$unsorted)) % 27.44/27.79 (define @t9 () (tptp.mult @t3 (tptp.mult @t4 @t8))) % 27.44/27.79 (define @t10 () (tptp.mult @t5 (tptp.mult @t1 @t8))) % 27.44/27.79 (define @t11 () (tptp.mult @t10 @t9)) % 27.44/27.79 (define @t12 () (tptp.mult @t10 @t11)) % 27.44/27.79 (define @t13 () (@list @t2 @t4 @t1 @t8)) % 27.44/27.79 (define @t14 () (forall @t13 (= @t12 @t9))) % 27.44/27.79 (define @t15 () (tptp.mult @t11 @t9)) % 27.44/27.79 (define @t16 () (forall @t13 (= @t15 @t10))) % 27.44/27.79 (define @t17 () (tptp.mult tptp.c tptp.d)) % 27.44/27.79 (define @t18 () (tptp.mult (tptp.mult tptp.a tptp.b) @t17)) % 27.44/27.79 (define @t19 () (tptp.mult tptp.a tptp.c)) % 27.44/27.79 (define @t20 () (tptp.mult @t19 (tptp.mult tptp.b tptp.d))) % 27.44/27.79 (define @t21 () (tptp.mult @t18 @t20)) % 27.44/27.79 (define @t22 () (= @t21 (tptp.mult @t20 @t18))) % 27.44/27.79 (define @t23 () (not @t22)) % 27.44/27.79 (define @t24 () (@list tptp.a tptp.c tptp.d)) % 27.44/27.79 (define @t25 () (tptp.mult tptp.a tptp.d)) % 27.44/27.79 (define @t26 () (@list @t21 @t20 @t20)) % 27.44/27.79 (define @t27 () (tptp.mult @t25 @t17)) % 27.44/27.79 (define @t28 () (tptp.mult @t19 tptp.b)) % 27.44/27.79 (define @t29 () (tptp.mult @t28 @t27)) % 27.44/27.79 (define @t30 () (tptp.mult tptp.b @t17)) % 27.44/27.79 (define @t31 () (tptp.mult @t19 @t25)) % 27.44/27.79 (define @t32 () (tptp.mult @t31 @t30)) % 27.44/27.79 (define @t33 () (tptp.mult @t32 @t29)) % 27.44/27.79 (define @t34 () (tptp.mult tptp.a @t17)) % 27.44/27.79 (define @t35 () (tptp.mult @t34 @t30)) % 27.44/27.79 (define @t36 () (tptp.mult @t18 @t35)) % 27.44/27.79 (define @t37 () (tptp.mult @t18 @t21)) % 27.44/27.79 (define @t38 () (tptp.mult @t37 @t36)) % 27.44/27.79 (define @t39 () (tptp.mult @t21 @t35)) % 27.44/27.79 (define @t40 () (tptp.mult @t18 @t39)) % 27.44/27.79 (define @t41 () (= @t40 @t38)) % 27.44/27.79 (define @t42 () (not @t41)) % 27.44/27.79 (define @t43 () (tptp.mult @t21 @t20)) % 27.44/27.79 (define @t44 () (tptp.mult @t20 @t20)) % 27.44/27.79 (define @t45 () (tptp.mult @t21 @t44)) % 27.44/27.79 (define @t46 () (= @t45 (tptp.mult @t43 @t43))) % 27.44/27.79 (define @t47 () (not @t46)) % 27.44/27.79 (define @t48 () (tptp.mult @t32 @t33)) % 27.44/27.79 (define @t49 () (tptp.mult @t48 @t20)) % 27.44/27.79 (define @t50 () (= @t49 (tptp.mult (tptp.mult @t32 @t20) (tptp.mult @t33 @t20)))) % 27.44/27.79 (define @t51 () (not @t50)) % 27.44/27.79 (define @t52 () (tptp.mult @t43 @t20)) % 27.44/27.79 (define @t53 () (= @t52 (tptp.mult @t43 @t44))) % 27.44/27.79 (define @t54 () (not @t53)) % 27.44/27.79 (define @t55 () (= @t32 (tptp.mult @t33 @t29))) % 27.44/27.79 (define @t56 () (not @t55)) % 27.44/27.79 (define @t57 () (= @t20 @t37)) % 27.44/27.79 (define @t58 () (not @t57)) % 27.44/27.79 (define @t59 () (= @t43 @t45)) % 27.44/27.79 (define @t60 () (not @t59)) % 27.44/27.79 (define @t61 () (tptp.mult @t19 tptp.d)) % 27.44/27.79 (define @t62 () (= @t61 @t27)) % 27.44/27.79 (define @t63 () (not @t62)) % 27.44/27.79 (define @t64 () (tptp.mult @t28 @t61)) % 27.44/27.79 (define @t65 () (= @t20 @t64)) % 27.44/27.79 (define @t66 () (not @t65)) % 27.44/27.79 (define @t67 () (= @t34 @t31)) % 27.44/27.79 (define @t68 () (not @t67)) % 27.44/27.79 (define @t69 () (= @t18 @t35)) % 27.44/27.79 (define @t70 () (not @t69)) % 27.44/27.79 (define @t71 () (tptp.mult @t18 @t18)) % 27.44/27.79 (define @t72 () (tptp.mult @t18 @t44)) % 27.44/27.79 (define @t73 () (and @t41 @t42)) % 27.44/27.79 (assume @p1 (forall @t7 (= (tptp.mult @t2 @t6) (tptp.mult @t5 @t3)))) % 27.44/27.79 (assume @p2 (forall @t7 (= (tptp.mult @t5 @t1) (tptp.mult @t3 @t6)))) % 27.44/27.79 (assume @p3 @t14) % 27.44/27.79 (assume @p4 @t16) % 27.44/27.79 (assume @p5 @t23) % 27.44/27.79 (step @p6 :rule instantiate :premises (@p2) :args ((@list tptp.a tptp.b @t17))) % 27.44/27.79 (step @p7 :rule instantiate :premises (@p1) :args (@t24)) % 27.44/27.79 (step @p8 :rule instantiate :premises (@p1) :args ((@list @t19 tptp.b tptp.d))) % 27.44/27.79 (step @p9 :rule instantiate :premises (@p2) :args (@t24)) % 27.44/27.79 (step @p10 :rule instantiate :premises (@p2) :args ((@list @t18 @t20 @t20))) % 27.44/27.79 (step @p11 :rule eq-symm :args (@t12 @t9)) % 27.44/27.79 (step @p12 :rule cong :premises (@p11) :args (@t14)) % 27.44/27.79 (step @p13 :rule eq_resolve :premises (@p3 @p12)) % 27.44/27.79 (step @p14 :rule instantiate :premises (@p13) :args ((@list tptp.a tptp.b tptp.c tptp.d))) % 27.44/27.79 (step @p15 :rule eq-symm :args (@t15 @t10)) % 27.44/27.79 (step @p16 :rule cong :premises (@p15) :args (@t16)) % 27.44/27.79 (step @p17 :rule eq_resolve :premises (@p4 @p16)) % 27.44/27.79 (step @p18 :rule instantiate :premises (@p17) :args ((@list @t19 @t25 tptp.b @t17))) % 27.44/27.79 (step @p19 :rule instantiate :premises (@p2) :args (@t26)) % 27.44/27.79 (step @p20 :rule instantiate :premises (@p2) :args ((@list @t32 @t33 @t20))) % 27.44/27.79 (step @p21 :rule instantiate :premises (@p1) :args (@t26)) % 27.44/27.79 (step @p22 :rule instantiate :premises (@p1) :args ((@list @t18 @t21 @t35))) % 27.44/27.79 (step @p23 :rule refl :args (@t42)) % 27.44/27.79 (step @p24 :rule refl :args (@t47)) % 27.44/27.79 (step @p25 :rule refl :args (@t51)) % 27.44/27.79 (step @p26 :rule refl :args (@t54)) % 27.44/27.79 (step @p27 :rule refl :args (@t56)) % 27.44/27.79 (step @p28 :rule refl :args (@t58)) % 27.44/27.79 (step @p29 :rule refl :args (@t60)) % 27.44/27.79 (step @p30 :rule refl :args (@t63)) % 27.44/27.79 (step @p31 :rule refl :args (@t66)) % 27.44/27.79 (step @p32 :rule refl :args (@t68)) % 27.44/27.79 (step @p33 :rule refl :args (@t70)) % 27.44/27.79 (step @p34 :rule bool-double-not-elim :args (@t22)) % 27.44/27.79 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23) :args ((or (not @t23) @t70 @t68 @t66 @t63 @t60 @t58 @t56 @t54 @t51 @t47 @t42))) % 27.44/27.79 (assume-push @p123 @t41) % 27.44/27.79 (assume-push @p124 @t42) % 27.44/27.79 (step @p38 :rule evaluate :args ((= false true))) % 27.44/27.79 (step @p39 :rule true_intro :premises (@p22)) % 27.44/27.79 (step @p40 :rule false_intro :premises (@p5)) % 27.44/27.79 (step @p41 :rule symm :premises (@p6)) % 27.44/27.79 (step @p42 :rule refl :args (@t30)) % 27.44/27.79 (step @p43 :rule symm :premises (@p7)) % 27.44/27.79 (step @p44 :rule cong :premises (@p43 @p42) :args (@t32)) % 27.44/27.79 (step @p45 :rule symm :premises (@p18)) % 27.44/27.79 (step @p46 :rule refl :args (@t28)) % 27.44/27.79 (step @p47 :rule cong :premises (@p46 @p9) :args (@t64)) % 27.44/27.79 (step @p48 :rule trans :premises (@p8 @p47)) % 27.44/27.79 (step @p49 :rule symm :premises (@p44)) % 27.44/27.79 (step @p50 :rule trans :premises (@p6 @p49)) % 27.44/27.79 (step @p51 :rule cong :premises (@p50 @p48) :args (@t21)) % 27.44/27.79 (step @p52 :rule cong :premises (@p51 @p48) :args (@t43)) % 27.44/27.79 (step @p53 :rule symm :premises (@p10)) % 27.44/27.79 (step @p54 :rule symm :premises (@p21)) % 27.44/27.79 (step @p55 :rule trans :premises (@p52 @p45 @p44 @p41)) % 27.44/27.79 (step @p56 :rule symm :premises (@p55)) % 27.44/27.79 (step @p57 :rule cong :premises (@p56 @p56) :args (@t71)) % 27.44/27.79 (step @p58 :rule refl :args (@t18)) % 27.44/27.79 (step @p59 :rule cong :premises (@p58 @p41) :args (@t36)) % 27.44/27.79 (step @p60 :rule trans :premises (@p59 @p57 @p54 @p53 @p52 @p45 @p44 @p41)) % 27.44/27.79 (step @p61 :rule symm :premises (@p14)) % 27.44/27.79 (step @p62 :rule cong :premises (@p61 @p60) :args (@t38)) % 27.44/27.79 (step @p63 :rule refl :args (@t20)) % 27.44/27.79 (step @p64 :rule cong :premises (@p55 @p63) :args (@t52)) % 27.44/27.79 (step @p65 :rule symm :premises (@p19)) % 27.44/27.79 (step @p66 :rule refl :args (@t44)) % 27.44/27.79 (step @p67 :rule cong :premises (@p56 @p66) :args (@t72)) % 27.44/27.79 (step @p68 :rule symm :premises (@p51)) % 27.44/27.79 (step @p69 :rule symm :premises (@p50)) % 27.44/27.79 (step @p70 :rule cong :premises (@p69 @p68) :args (@t48)) % 27.44/27.79 (step @p71 :rule trans :premises (@p70 @p61)) % 27.44/27.79 (step @p72 :rule cong :premises (@p71 @p63) :args (@t49)) % 27.44/27.79 (step @p73 :rule symm :premises (@p20)) % 27.44/27.79 (step @p74 :rule cong :premises (@p51 @p63) :args (@t43)) % 27.44/27.79 (step @p75 :rule symm :premises (@p52)) % 27.44/27.79 (step @p76 :rule trans :premises (@p49 @p18 @p75 @p74)) % 27.44/27.79 (step @p77 :rule cong :premises (@p50 @p63) :args (@t21)) % 27.44/27.79 (step @p78 :rule cong :premises (@p77 @p76) :args (@t39)) % 27.44/27.79 (step @p79 :rule trans :premises (@p78 @p73 @p72)) % 27.44/27.79 (step @p80 :rule cong :premises (@p58 @p79) :args (@t40)) % 27.44/27.79 (step @p81 :rule trans :premises (@p80 @p67 @p65 @p64)) % 27.44/27.79 (step @p82 :rule cong :premises (@p81 @p62) :args (@t41)) % 27.44/27.79 (step @p83 :rule trans :premises (@p82 @p40)) % 27.44/27.79 (step @p84 :rule symm :premises (@p83)) % 27.44/27.79 (step @p85 :rule trans :premises (@p84 @p39)) % 27.44/27.79 (step @p86 false :rule eq_resolve :premises (@p85 @p38)) % 27.44/27.79 (step-pop @p125 :rule scope :premises (@p86)) % 27.44/27.79 (step-pop @p126 :rule scope :premises (@p125)) % 27.44/27.79 (step @p87 :rule process_scope :premises (@p126) :args (false)) % 27.44/27.79 (assume-push @p127 @t23) % 27.44/27.79 (assume-push @p128 @t69) % 27.44/27.79 (assume-push @p129 @t67) % 27.44/27.79 (assume-push @p130 @t65) % 27.44/27.79 (assume-push @p131 @t62) % 27.44/27.79 (assume-push @p132 @t59) % 27.44/27.79 (assume-push @p133 @t57) % 27.44/27.79 (assume-push @p134 @t55) % 27.44/27.79 (assume-push @p135 @t53) % 27.44/27.79 (assume-push @p136 @t50) % 27.44/27.79 (assume-push @p137 @t46) % 27.44/27.79 (assume-push @p138 @t41) % 27.44/27.79 (step @p40 :rule false_intro :premises (@p5)) % 27.44/27.79 (step @p41 :rule symm :premises (@p6)) % 27.44/27.79 (step @p42 :rule refl :args (@t30)) % 27.44/27.79 (step @p43 :rule symm :premises (@p7)) % 27.44/27.79 (step @p44 :rule cong :premises (@p43 @p42) :args (@t32)) % 27.44/27.79 (step @p45 :rule symm :premises (@p18)) % 27.44/27.79 (step @p46 :rule refl :args (@t28)) % 27.44/27.79 (step @p47 :rule cong :premises (@p46 @p9) :args (@t64)) % 27.44/27.79 (step @p48 :rule trans :premises (@p8 @p47)) % 27.44/27.79 (step @p49 :rule symm :premises (@p44)) % 27.44/27.79 (step @p50 :rule trans :premises (@p6 @p49)) % 27.44/27.79 (step @p51 :rule cong :premises (@p50 @p48) :args (@t21)) % 27.44/27.79 (step @p52 :rule cong :premises (@p51 @p48) :args (@t43)) % 27.44/27.79 (step @p53 :rule symm :premises (@p10)) % 27.44/27.79 (step @p54 :rule symm :premises (@p21)) % 27.44/27.79 (step @p55 :rule trans :premises (@p52 @p45 @p44 @p41)) % 27.44/27.79 (step @p56 :rule symm :premises (@p55)) % 27.44/27.79 (step @p57 :rule cong :premises (@p56 @p56) :args (@t71)) % 27.44/27.79 (step @p58 :rule refl :args (@t18)) % 27.44/27.79 (step @p59 :rule cong :premises (@p58 @p41) :args (@t36)) % 27.44/27.79 (step @p60 :rule trans :premises (@p59 @p57 @p54 @p53 @p52 @p45 @p44 @p41)) % 27.44/27.79 (step @p61 :rule symm :premises (@p14)) % 27.44/27.79 (step @p62 :rule cong :premises (@p61 @p60) :args (@t38)) % 27.44/27.79 (step @p63 :rule refl :args (@t20)) % 27.44/27.79 (step @p64 :rule cong :premises (@p55 @p63) :args (@t52)) % 27.44/27.79 (step @p65 :rule symm :premises (@p19)) % 27.44/27.79 (step @p66 :rule refl :args (@t44)) % 27.44/27.79 (step @p67 :rule cong :premises (@p56 @p66) :args (@t72)) % 27.44/27.79 (step @p68 :rule symm :premises (@p51)) % 27.44/27.79 (step @p69 :rule symm :premises (@p50)) % 27.44/27.79 (step @p70 :rule cong :premises (@p69 @p68) :args (@t48)) % 27.44/27.79 (step @p71 :rule trans :premises (@p70 @p61)) % 27.44/27.79 (step @p72 :rule cong :premises (@p71 @p63) :args (@t49)) % 27.44/27.79 (step @p73 :rule symm :premises (@p20)) % 27.44/27.79 (step @p74 :rule cong :premises (@p51 @p63) :args (@t43)) % 27.44/27.79 (step @p75 :rule symm :premises (@p52)) % 27.44/27.79 (step @p76 :rule trans :premises (@p49 @p18 @p75 @p74)) % 27.44/27.79 (step @p77 :rule cong :premises (@p50 @p63) :args (@t21)) % 27.44/27.79 (step @p78 :rule cong :premises (@p77 @p76) :args (@t39)) % 27.44/27.79 (step @p79 :rule trans :premises (@p78 @p73 @p72)) % 27.44/27.79 (step @p80 :rule cong :premises (@p58 @p79) :args (@t40)) % 27.44/27.79 (step @p81 :rule trans :premises (@p80 @p67 @p65 @p64)) % 27.44/27.79 (step @p82 :rule cong :premises (@p81 @p62) :args (@t41)) % 27.44/27.79 (step @p102 :rule trans :premises (@p82 @p40)) % 27.44/27.79 (step @p103 :rule false_elim :premises (@p102)) % 27.44/27.79 (step @p104 :rule and_intro :premises (@p22 @p103)) % 27.44/27.79 (step-pop @p139 :rule scope :premises (@p104)) % 27.44/27.79 (step-pop @p140 :rule scope :premises (@p139)) % 27.44/27.79 (step-pop @p141 :rule scope :premises (@p140)) % 27.44/27.79 (step-pop @p142 :rule scope :premises (@p141)) % 27.44/27.79 (step-pop @p143 :rule scope :premises (@p142)) % 27.44/27.79 (step-pop @p144 :rule scope :premises (@p143)) % 27.44/27.79 (step-pop @p145 :rule scope :premises (@p144)) % 27.44/27.79 (step-pop @p146 :rule scope :premises (@p145)) % 27.44/27.79 (step-pop @p147 :rule scope :premises (@p146)) % 27.44/27.79 (step-pop @p148 :rule scope :premises (@p147)) % 27.44/27.79 (step-pop @p149 :rule scope :premises (@p148)) % 27.44/27.79 (step-pop @p150 :rule scope :premises (@p149)) % 27.44/27.79 (step @p105 :rule process_scope :premises (@p150) :args (@t73)) % 27.44/27.79 (step @p118 :rule implies_elim :premises (@p105)) % 27.44/27.79 (step @p119 :rule resolution :premises (@p118 @p87) :args (true @t73)) % 27.44/27.79 (step @p120 :rule not_and :premises (@p119)) % 27.44/27.79 (step @p121 :rule eq_resolve :premises (@p120 @p35)) % 27.44/27.79 (step @p122 false :rule chain_m_resolution :premises (@p121 @p22 @p21 @p20 @p19 @p18 @p14 @p10 @p9 @p8 @p7 @p6 @p5) :args (false (@list false false false false false false false false false false false true) (@list @t41 @t46 @t50 @t53 @t55 @t57 @t59 @t62 @t65 @t67 @t69 @t22))) % 27.44/27.79 ) % 27.44/27.79 % SZS output end Proof % 27.44/27.79 % cvc5 exiting %------------------------------------------------------------------------------