%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP710-11 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:21:21 AM UTC 2026 % Result : Unsatisfiable 27.55s 27.81s % Output : Proof 27.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP710-11 : TPTP v9.2.1. Released v8.1.0. % 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 : n001.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 01:55:05 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.40/15.68 --- Run --no-e-matching --full-saturate-quant at 6... % 21.52/21.70 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.52/27.72 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.55/27.81 % SZS status Unsatisfiable % 27.55/27.81 % SZS output start Proof % 27.55/27.81 ( % 27.55/27.81 (declare-sort $$unsorted 0) % 27.55/27.81 (declare-const tptp.x3 $$unsorted) % 27.55/27.81 (declare-const tptp.i (-> $$unsorted $$unsorted)) % 27.55/27.81 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 27.55/27.81 (declare-const tptp.x4 $$unsorted) % 27.55/27.81 (declare-const tptp.unit $$unsorted) % 27.55/27.81 (define @t1 () (@var "A" $$unsorted)) % 27.55/27.81 (define @t2 () (tptp.mult @t1 tptp.unit)) % 27.55/27.81 (define @t3 () (@list @t1)) % 27.55/27.81 (define @t4 () (forall @t3 (= @t2 @t1))) % 27.55/27.81 (define @t5 () (tptp.mult tptp.unit @t1)) % 27.55/27.81 (define @t6 () (forall @t3 (= @t5 @t1))) % 27.55/27.81 (define @t7 () (@var "C" $$unsorted)) % 27.55/27.81 (define @t8 () (@var "B" $$unsorted)) % 27.55/27.81 (define @t9 () (tptp.i @t1)) % 27.55/27.81 (define @t10 () (tptp.mult @t9 @t1)) % 27.55/27.81 (define @t11 () (forall @t3 (= @t10 tptp.unit))) % 27.55/27.81 (define @t12 () (@var "X5" $$unsorted)) % 27.55/27.81 (define @t13 () (tptp.mult @t12 tptp.x4)) % 27.55/27.81 (define @t14 () (not (= @t13 tptp.x3))) % 27.55/27.81 (define @t15 () (forall (@list @t12) @t14)) % 27.55/27.81 (define @t16 () (@list tptp.x4)) % 27.55/27.81 (define @t17 () (tptp.i tptp.x4)) % 27.55/27.81 (define @t18 () (tptp.mult tptp.x3 @t17)) % 27.55/27.81 (define @t19 () (tptp.mult tptp.unit tptp.x4)) % 27.55/27.81 (define @t20 () (tptp.mult @t19 tptp.x4)) % 27.55/27.81 (define @t21 () (tptp.mult @t18 @t17)) % 27.55/27.81 (define @t22 () (tptp.mult @t21 tptp.x4)) % 27.55/27.81 (define @t23 () (tptp.mult @t22 tptp.x4)) % 27.55/27.81 (define @t24 () (tptp.mult @t23 tptp.unit)) % 27.55/27.81 (define @t25 () (= @t23 @t24)) % 27.55/27.81 (define @t26 () (not @t25)) % 27.55/27.81 (define @t27 () (tptp.mult tptp.x4 tptp.unit)) % 27.55/27.81 (define @t28 () (tptp.mult tptp.x4 @t27)) % 27.55/27.81 (define @t29 () (tptp.mult @t21 @t28)) % 27.55/27.81 (define @t30 () (= @t29 @t24)) % 27.55/27.81 (define @t31 () (not @t30)) % 27.55/27.81 (define @t32 () (tptp.mult @t17 @t20)) % 27.55/27.81 (define @t33 () (tptp.mult @t17 @t32)) % 27.55/27.81 (define @t34 () (tptp.mult tptp.x3 @t33)) % 27.55/27.81 (define @t35 () (= @t34 (tptp.mult @t21 @t20))) % 27.55/27.81 (define @t36 () (not @t35)) % 27.55/27.81 (define @t37 () (tptp.mult @t17 tptp.x4)) % 27.55/27.81 (define @t38 () (tptp.mult @t17 @t37)) % 27.55/27.81 (define @t39 () (tptp.mult tptp.x3 @t38)) % 27.55/27.81 (define @t40 () (= @t39 @t22)) % 27.55/27.81 (define @t41 () (not @t40)) % 27.55/27.81 (define @t42 () (tptp.mult @t37 tptp.x4)) % 27.55/27.81 (define @t43 () (tptp.mult @t42 tptp.unit)) % 27.55/27.81 (define @t44 () (= (tptp.mult @t17 @t28) @t43)) % 27.55/27.81 (define @t45 () (not @t44)) % 27.55/27.81 (define @t46 () (= tptp.x3 (tptp.mult @t18 tptp.x4))) % 27.55/27.81 (define @t47 () (= @t17 (tptp.mult @t17 tptp.unit))) % 27.55/27.81 (define @t48 () (not @t47)) % 27.55/27.81 (define @t49 () (= tptp.unit @t37)) % 27.55/27.81 (define @t50 () (not @t49)) % 27.55/27.81 (define @t51 () (= tptp.x4 @t27)) % 27.55/27.81 (define @t52 () (not @t51)) % 27.55/27.81 (define @t53 () (= tptp.x3 (tptp.mult tptp.x3 tptp.unit))) % 27.55/27.81 (define @t54 () (not @t53)) % 27.55/27.81 (define @t55 () (= tptp.x4 @t19)) % 27.55/27.81 (define @t56 () (not @t55)) % 27.55/27.81 (define @t57 () (not @t46)) % 27.55/27.81 (define @t58 () (= @t24 @t23)) % 27.55/27.81 (define @t59 () (not @t58)) % 27.55/27.81 (define @t60 () (tptp.mult tptp.x4 tptp.x4)) % 27.55/27.81 (define @t61 () (and @t26 @t25)) % 27.55/27.81 (assume @p1 @t4) % 27.55/27.81 (assume @p2 @t6) % 27.55/27.81 (assume @p3 (forall (@list @t1 @t8 @t7) (= (tptp.mult @t1 (tptp.mult @t8 (tptp.mult @t8 @t7))) (tptp.mult (tptp.mult (tptp.mult @t1 @t8) @t8) @t7)))) % 27.55/27.81 (assume @p4 (forall @t3 (= (tptp.mult @t1 @t9) tptp.unit))) % 27.55/27.81 (assume @p5 @t11) % 27.55/27.81 (assume @p6 @t15) % 27.55/27.81 (step @p7 :rule eq-symm :args (@t5 @t1)) % 27.55/27.81 (step @p8 :rule cong :premises (@p7) :args (@t6)) % 27.55/27.81 (step @p9 :rule eq_resolve :premises (@p2 @p8)) % 27.55/27.81 (step @p10 :rule instantiate :premises (@p9) :args (@t16)) % 27.55/27.81 (step @p11 :rule eq-symm :args (@t2 @t1)) % 27.55/27.81 (step @p12 :rule cong :premises (@p11) :args (@t4)) % 27.55/27.81 (step @p13 :rule eq_resolve :premises (@p1 @p12)) % 27.55/27.81 (step @p14 :rule instantiate :premises (@p13) :args ((@list tptp.x3))) % 27.55/27.81 (step @p15 :rule instantiate :premises (@p13) :args (@t16)) % 27.55/27.81 (step @p16 :rule eq-symm :args (@t10 tptp.unit)) % 27.55/27.81 (step @p17 :rule cong :premises (@p16) :args (@t11)) % 27.55/27.81 (step @p18 :rule eq_resolve :premises (@p5 @p17)) % 27.55/27.81 (step @p19 :rule instantiate :premises (@p18) :args (@t16)) % 27.55/27.81 (step @p20 :rule instantiate :premises (@p13) :args ((@list @t17))) % 27.55/27.81 (step @p21 :rule eq-symm :args (@t13 tptp.x3)) % 27.55/27.81 (step @p22 :rule cong :premises (@p21) :args (@t14)) % 27.55/27.81 (step @p23 :rule cong :premises (@p22) :args (@t15)) % 27.55/27.81 (step @p24 :rule eq_resolve :premises (@p6 @p23)) % 27.55/27.81 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t18))) % 27.55/27.81 (step @p26 :rule instantiate :premises (@p3) :args ((@list @t17 tptp.x4 tptp.unit))) % 27.55/27.81 (step @p27 :rule instantiate :premises (@p3) :args ((@list tptp.x3 @t17 tptp.x4))) % 27.55/27.81 (step @p28 :rule instantiate :premises (@p3) :args ((@list tptp.x3 @t17 @t20))) % 27.55/27.81 (step @p29 :rule instantiate :premises (@p3) :args ((@list @t21 tptp.x4 tptp.unit))) % 27.55/27.81 (step @p30 :rule instantiate :premises (@p13) :args ((@list @t23))) % 27.55/27.81 (step @p31 :rule refl :args (@t26)) % 27.55/27.81 (step @p32 :rule refl :args (@t31)) % 27.55/27.81 (step @p33 :rule refl :args (@t36)) % 27.55/27.81 (step @p34 :rule refl :args (@t41)) % 27.55/27.81 (step @p35 :rule refl :args (@t45)) % 27.55/27.81 (step @p36 :rule bool-double-not-elim :args (@t46)) % 27.55/27.81 (step @p37 :rule refl :args (@t48)) % 27.55/27.81 (step @p38 :rule refl :args (@t50)) % 27.55/27.81 (step @p39 :rule refl :args (@t52)) % 27.55/27.81 (step @p40 :rule refl :args (@t54)) % 27.55/27.81 (step @p41 :rule refl :args (@t56)) % 27.55/27.81 (step @p42 :rule nary_cong :premises (@p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31) :args ((or @t56 @t54 @t52 @t50 @t48 (not @t57) @t45 @t41 @t36 @t31 @t26))) % 27.55/27.81 (assume-push @p127 @t26) % 27.55/27.81 (assume-push @p128 @t25) % 27.55/27.81 (step @p45 :rule evaluate :args ((= false true))) % 27.55/27.81 (step @p46 :rule true_intro :premises (@p30)) % 27.55/27.81 (step @p47 :rule bool-eq-false :args (@t25)) % 27.55/27.81 (step @p48 :rule symm :premises (@p47)) % 27.55/27.81 (step @p49 :rule eq-symm :args (@t24 @t23)) % 27.55/27.81 (step @p50 :rule cong :premises (@p49) :args (@t59)) % 27.55/27.81 (step @p51 :rule bool-eq-false :args (@t58)) % 27.55/27.81 (step @p52 :rule trans :premises (@p51 @p50)) % 27.55/27.81 (step @p53 :rule trans :premises (@p52 @p48)) % 27.55/27.81 (step @p54 :rule false_intro :premises (@p25)) % 27.55/27.81 (step @p55 :rule refl :args (tptp.x4)) % 27.55/27.81 (step @p56 :rule symm :premises (@p20)) % 27.55/27.81 (step @p57 :rule symm :premises (@p19)) % 27.55/27.81 (step @p58 :rule refl :args (@t17)) % 27.55/27.81 (step @p59 :rule cong :premises (@p58 @p57) :args (@t38)) % 27.55/27.81 (step @p60 :rule trans :premises (@p59 @p56)) % 27.55/27.81 (step @p61 :rule refl :args (tptp.x3)) % 27.55/27.81 (step @p62 :rule cong :premises (@p61 @p60) :args (@t39)) % 27.55/27.81 (step @p63 :rule symm :premises (@p27)) % 27.55/27.81 (step @p64 :rule trans :premises (@p63 @p62)) % 27.55/27.81 (step @p65 :rule cong :premises (@p64 @p55) :args (@t23)) % 27.55/27.81 (step @p66 :rule symm :premises (@p14)) % 27.55/27.81 (step @p67 :rule symm :premises (@p15)) % 27.55/27.81 (step @p68 :rule refl :args (tptp.unit)) % 27.55/27.81 (step @p69 :rule symm :premises (@p10)) % 27.55/27.81 (step @p70 :rule cong :premises (@p57 @p55) :args (@t42)) % 27.55/27.81 (step @p71 :rule trans :premises (@p70 @p69)) % 27.55/27.81 (step @p72 :rule cong :premises (@p71 @p68) :args (@t43)) % 27.55/27.81 (step @p73 :rule cong :premises (@p55 @p15) :args (@t60)) % 27.55/27.81 (step @p74 :rule cong :premises (@p69 @p55) :args (@t20)) % 27.55/27.81 (step @p75 :rule trans :premises (@p74 @p73)) % 27.55/27.81 (step @p76 :rule cong :premises (@p58 @p75) :args (@t32)) % 27.55/27.81 (step @p77 :rule trans :premises (@p76 @p26 @p72 @p67)) % 27.55/27.81 (step @p78 :rule cong :premises (@p58 @p77) :args (@t33)) % 27.55/27.81 (step @p79 :rule trans :premises (@p78 @p57)) % 27.55/27.81 (step @p80 :rule cong :premises (@p61 @p79) :args (@t34)) % 27.55/27.81 (step @p81 :rule symm :premises (@p28)) % 27.55/27.81 (step @p82 :rule symm :premises (@p75)) % 27.55/27.81 (step @p83 :rule refl :args (@t21)) % 27.55/27.81 (step @p84 :rule cong :premises (@p83 @p82) :args (@t29)) % 27.55/27.81 (step @p85 :rule symm :premises (@p29)) % 27.55/27.81 (step @p86 :rule trans :premises (@p85 @p84 @p81 @p80 @p66)) % 27.55/27.81 (step @p87 :rule cong :premises (@p86 @p65) :args (@t58)) % 27.55/27.81 (step @p88 :rule trans :premises (@p87 @p54)) % 27.55/27.81 (step @p89 :rule eq_resolve :premises (@p88 @p53)) % 27.55/27.81 (step @p90 :rule symm :premises (@p89)) % 27.55/27.81 (step @p91 :rule trans :premises (@p90 @p46)) % 27.55/27.81 (step @p92 false :rule eq_resolve :premises (@p91 @p45)) % 27.55/27.81 (step-pop @p129 :rule scope :premises (@p92)) % 27.55/27.81 (step-pop @p130 :rule scope :premises (@p129)) % 27.55/27.81 (step @p93 :rule process_scope :premises (@p130) :args (false)) % 27.55/27.81 (assume-push @p131 @t55) % 27.55/27.81 (assume-push @p132 @t53) % 27.55/27.81 (assume-push @p133 @t51) % 27.55/27.81 (assume-push @p134 @t49) % 27.55/27.81 (assume-push @p135 @t47) % 27.55/27.81 (assume-push @p136 @t57) % 27.55/27.81 (assume-push @p137 @t44) % 27.55/27.81 (assume-push @p138 @t40) % 27.55/27.81 (assume-push @p139 @t35) % 27.55/27.81 (assume-push @p140 @t30) % 27.55/27.81 (assume-push @p141 @t25) % 27.55/27.81 (step @p47 :rule bool-eq-false :args (@t25)) % 27.55/27.81 (step @p48 :rule symm :premises (@p47)) % 27.55/27.81 (step @p49 :rule eq-symm :args (@t24 @t23)) % 27.55/27.81 (step @p50 :rule cong :premises (@p49) :args (@t59)) % 27.55/27.81 (step @p51 :rule bool-eq-false :args (@t58)) % 27.55/27.81 (step @p52 :rule trans :premises (@p51 @p50)) % 27.55/27.81 (step @p53 :rule trans :premises (@p52 @p48)) % 27.55/27.81 (step @p54 :rule false_intro :premises (@p25)) % 27.55/27.81 (step @p55 :rule refl :args (tptp.x4)) % 27.55/27.81 (step @p56 :rule symm :premises (@p20)) % 27.55/27.81 (step @p57 :rule symm :premises (@p19)) % 27.55/27.81 (step @p58 :rule refl :args (@t17)) % 27.55/27.81 (step @p59 :rule cong :premises (@p58 @p57) :args (@t38)) % 27.55/27.81 (step @p60 :rule trans :premises (@p59 @p56)) % 27.55/27.81 (step @p61 :rule refl :args (tptp.x3)) % 27.55/27.81 (step @p62 :rule cong :premises (@p61 @p60) :args (@t39)) % 27.55/27.81 (step @p63 :rule symm :premises (@p27)) % 27.55/27.81 (step @p64 :rule trans :premises (@p63 @p62)) % 27.55/27.81 (step @p65 :rule cong :premises (@p64 @p55) :args (@t23)) % 27.55/27.81 (step @p66 :rule symm :premises (@p14)) % 27.55/27.81 (step @p67 :rule symm :premises (@p15)) % 27.55/27.81 (step @p68 :rule refl :args (tptp.unit)) % 27.55/27.81 (step @p69 :rule symm :premises (@p10)) % 27.55/27.81 (step @p70 :rule cong :premises (@p57 @p55) :args (@t42)) % 27.55/27.81 (step @p71 :rule trans :premises (@p70 @p69)) % 27.55/27.81 (step @p72 :rule cong :premises (@p71 @p68) :args (@t43)) % 27.55/27.81 (step @p73 :rule cong :premises (@p55 @p15) :args (@t60)) % 27.55/27.81 (step @p74 :rule cong :premises (@p69 @p55) :args (@t20)) % 27.55/27.81 (step @p75 :rule trans :premises (@p74 @p73)) % 27.55/27.81 (step @p76 :rule cong :premises (@p58 @p75) :args (@t32)) % 27.55/27.81 (step @p77 :rule trans :premises (@p76 @p26 @p72 @p67)) % 27.55/27.81 (step @p78 :rule cong :premises (@p58 @p77) :args (@t33)) % 27.55/27.81 (step @p79 :rule trans :premises (@p78 @p57)) % 27.55/27.81 (step @p80 :rule cong :premises (@p61 @p79) :args (@t34)) % 27.55/27.81 (step @p81 :rule symm :premises (@p28)) % 27.55/27.81 (step @p82 :rule symm :premises (@p75)) % 27.55/27.81 (step @p83 :rule refl :args (@t21)) % 27.55/27.81 (step @p84 :rule cong :premises (@p83 @p82) :args (@t29)) % 27.55/27.81 (step @p85 :rule symm :premises (@p29)) % 27.55/27.81 (step @p86 :rule trans :premises (@p85 @p84 @p81 @p80 @p66)) % 27.55/27.81 (step @p87 :rule cong :premises (@p86 @p65) :args (@t58)) % 27.55/27.81 (step @p88 :rule trans :premises (@p87 @p54)) % 27.55/27.81 (step @p107 :rule eq_resolve :premises (@p88 @p53)) % 27.55/27.81 (step @p108 :rule false_elim :premises (@p107)) % 27.55/27.81 (step @p109 :rule and_intro :premises (@p108 @p30)) % 27.55/27.81 (step-pop @p142 :rule scope :premises (@p109)) % 27.55/27.81 (step-pop @p143 :rule scope :premises (@p142)) % 27.55/27.81 (step-pop @p144 :rule scope :premises (@p143)) % 27.55/27.81 (step-pop @p145 :rule scope :premises (@p144)) % 27.55/27.81 (step-pop @p146 :rule scope :premises (@p145)) % 27.55/27.81 (step-pop @p147 :rule scope :premises (@p146)) % 27.55/27.81 (step-pop @p148 :rule scope :premises (@p147)) % 27.55/27.81 (step-pop @p149 :rule scope :premises (@p148)) % 27.55/27.81 (step-pop @p150 :rule scope :premises (@p149)) % 27.55/27.81 (step-pop @p151 :rule scope :premises (@p150)) % 27.55/27.81 (step-pop @p152 :rule scope :premises (@p151)) % 27.55/27.81 (step @p110 :rule process_scope :premises (@p152) :args (@t61)) % 27.55/27.81 (step @p122 :rule implies_elim :premises (@p110)) % 27.55/27.81 (step @p123 :rule resolution :premises (@p122 @p93) :args (true @t61)) % 27.55/27.81 (step @p124 :rule not_and :premises (@p123)) % 27.55/27.81 (step @p125 :rule eq_resolve :premises (@p124 @p42)) % 27.55/27.81 (step @p126 false :rule chain_m_resolution :premises (@p125 @p30 @p29 @p28 @p27 @p26 @p25 @p20 @p19 @p15 @p14 @p10) :args (false (@list false false false false false true false false false false false) (@list @t25 @t30 @t35 @t40 @t44 @t46 @t47 @t49 @t51 @t53 @t55))) % 27.55/27.81 ) % 27.55/27.81 % SZS output end Proof % 27.55/27.81 % cvc5 exiting %------------------------------------------------------------------------------