%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP022-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:19:36 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP022-2 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 00:40:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Unsatisfiable % 0.30/0.55 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.a $$unsorted) % 0.38/0.56 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.identity $$unsorted) % 0.38/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t2 () (tptp.multiply tptp.identity @t1)) % 0.38/0.56 (define @t3 () (@list @t1)) % 0.38/0.56 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.38/0.56 (define @t5 () (tptp.inverse @t1)) % 0.38/0.56 (define @t6 () (tptp.multiply @t5 @t1)) % 0.38/0.56 (define @t7 () (forall @t3 (= @t6 tptp.identity))) % 0.38/0.56 (define @t8 () (@var "Z" $$unsorted)) % 0.38/0.56 (define @t9 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t10 () (tptp.multiply @t1 tptp.identity)) % 0.38/0.56 (define @t11 () (forall @t3 (= @t10 @t1))) % 0.38/0.56 (define @t12 () (tptp.multiply @t1 @t5)) % 0.38/0.56 (define @t13 () (forall @t3 (= @t12 tptp.identity))) % 0.38/0.56 (define @t14 () (tptp.inverse tptp.a)) % 0.38/0.56 (define @t15 () (tptp.inverse @t14)) % 0.38/0.56 (define @t16 () (@list tptp.a)) % 0.38/0.56 (define @t17 () (@list @t14)) % 0.38/0.56 (define @t18 () (tptp.multiply tptp.identity @t14)) % 0.38/0.56 (define @t19 () (tptp.multiply tptp.identity tptp.a)) % 0.38/0.56 (define @t20 () (tptp.multiply tptp.a tptp.identity)) % 0.38/0.56 (define @t21 () (= tptp.a @t20)) % 0.38/0.56 (define @t22 () (not @t21)) % 0.38/0.56 (define @t23 () (tptp.multiply @t14 @t15)) % 0.38/0.56 (define @t24 () (tptp.multiply @t19 @t14)) % 0.38/0.56 (define @t25 () (tptp.multiply @t24 @t15)) % 0.38/0.56 (define @t26 () (= @t25 (tptp.multiply @t19 @t23))) % 0.38/0.56 (define @t27 () (not @t26)) % 0.38/0.56 (define @t28 () (= tptp.a @t19)) % 0.38/0.56 (define @t29 () (not @t28)) % 0.38/0.56 (define @t30 () (tptp.multiply tptp.a @t14)) % 0.38/0.56 (define @t31 () (= @t24 (tptp.multiply tptp.identity @t30))) % 0.38/0.56 (define @t32 () (not @t31)) % 0.38/0.56 (define @t33 () (= @t15 (tptp.multiply @t15 tptp.identity))) % 0.38/0.56 (define @t34 () (not @t33)) % 0.38/0.56 (define @t35 () (tptp.multiply @t18 @t15)) % 0.38/0.56 (define @t36 () (tptp.multiply @t15 @t35)) % 0.38/0.56 (define @t37 () (= (tptp.multiply (tptp.multiply @t15 @t18) @t15) @t36)) % 0.38/0.56 (define @t38 () (not @t37)) % 0.38/0.56 (define @t39 () (= @t14 @t18)) % 0.38/0.56 (define @t40 () (not @t39)) % 0.38/0.56 (define @t41 () (tptp.multiply tptp.identity @t23)) % 0.38/0.56 (define @t42 () (= @t35 @t41)) % 0.38/0.56 (define @t43 () (not @t42)) % 0.38/0.56 (define @t44 () (tptp.multiply tptp.identity tptp.identity)) % 0.38/0.56 (define @t45 () (= tptp.identity @t44)) % 0.38/0.56 (define @t46 () (not @t45)) % 0.38/0.56 (define @t47 () (= tptp.identity @t23)) % 0.38/0.56 (define @t48 () (not @t47)) % 0.38/0.56 (define @t49 () (= tptp.identity @t30)) % 0.38/0.56 (define @t50 () (not @t49)) % 0.38/0.56 (define @t51 () (tptp.multiply @t15 @t14)) % 0.38/0.56 (define @t52 () (= tptp.identity @t51)) % 0.38/0.56 (define @t53 () (not @t52)) % 0.38/0.56 (define @t54 () (tptp.multiply @t14 tptp.a)) % 0.38/0.56 (define @t55 () (= tptp.identity @t54)) % 0.38/0.56 (define @t56 () (not @t55)) % 0.38/0.56 (define @t57 () (= tptp.a @t15)) % 0.38/0.56 (define @t58 () (not @t57)) % 0.38/0.56 (define @t59 () (and @t58 @t55 @t52 @t49 @t47 @t45 @t42 @t39 @t37 @t33 @t31 @t28 @t26)) % 0.38/0.56 (assume @p1 @t4) % 0.38/0.56 (assume @p2 @t7) % 0.38/0.56 (assume @p3 (forall (@list @t1 @t9 @t8) (= (tptp.multiply (tptp.multiply @t1 @t9) @t8) (tptp.multiply @t1 (tptp.multiply @t9 @t8))))) % 0.38/0.56 (assume @p4 @t11) % 0.38/0.56 (assume @p5 @t13) % 0.38/0.56 (assume @p6 (not (= @t15 tptp.a))) % 0.38/0.56 (step @p7 :rule symm :premises (@p6)) % 0.38/0.56 (step @p8 :rule eq-symm :args (@t6 tptp.identity)) % 0.38/0.56 (step @p9 :rule cong :premises (@p8) :args (@t7)) % 0.38/0.56 (step @p10 :rule eq_resolve :premises (@p2 @p9)) % 0.38/0.56 (step @p11 :rule instantiate :premises (@p10) :args (@t16)) % 0.38/0.56 (step @p12 :rule instantiate :premises (@p10) :args (@t17)) % 0.38/0.56 (step @p13 :rule eq-symm :args (@t12 tptp.identity)) % 0.38/0.56 (step @p14 :rule cong :premises (@p13) :args (@t13)) % 0.38/0.56 (step @p15 :rule eq_resolve :premises (@p5 @p14)) % 0.38/0.56 (step @p16 :rule instantiate :premises (@p15) :args (@t16)) % 0.38/0.56 (step @p17 :rule instantiate :premises (@p15) :args (@t17)) % 0.38/0.56 (step @p18 :rule eq-symm :args (@t2 @t1)) % 0.38/0.56 (step @p19 :rule cong :premises (@p18) :args (@t4)) % 0.38/0.56 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.38/0.56 (step @p21 :rule instantiate :premises (@p20) :args ((@list tptp.identity))) % 0.38/0.56 (step @p22 :rule instantiate :premises (@p3) :args ((@list tptp.identity @t14 @t15))) % 0.38/0.56 (step @p23 :rule instantiate :premises (@p20) :args (@t17)) % 0.38/0.56 (step @p24 :rule instantiate :premises (@p3) :args ((@list @t15 @t18 @t15))) % 0.38/0.56 (step @p25 :rule eq-symm :args (@t10 @t1)) % 0.38/0.56 (step @p26 :rule cong :premises (@p25) :args (@t11)) % 0.38/0.56 (step @p27 :rule eq_resolve :premises (@p4 @p26)) % 0.38/0.56 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t15))) % 0.38/0.56 (step @p29 :rule instantiate :premises (@p3) :args ((@list tptp.identity tptp.a @t14))) % 0.38/0.56 (step @p30 :rule instantiate :premises (@p20) :args (@t16)) % 0.38/0.56 (step @p31 :rule instantiate :premises (@p3) :args ((@list @t19 @t14 @t15))) % 0.38/0.56 (step @p32 :rule instantiate :premises (@p27) :args (@t16)) % 0.38/0.56 (step @p33 :rule refl :args (@t22)) % 0.38/0.56 (step @p34 :rule refl :args (@t27)) % 0.38/0.56 (step @p35 :rule refl :args (@t29)) % 0.38/0.56 (step @p36 :rule refl :args (@t32)) % 0.38/0.56 (step @p37 :rule refl :args (@t34)) % 0.38/0.56 (step @p38 :rule refl :args (@t38)) % 0.38/0.56 (step @p39 :rule refl :args (@t40)) % 0.38/0.56 (step @p40 :rule refl :args (@t43)) % 0.38/0.56 (step @p41 :rule refl :args (@t46)) % 0.38/0.56 (step @p42 :rule refl :args (@t48)) % 0.38/0.56 (step @p43 :rule refl :args (@t50)) % 0.38/0.56 (step @p44 :rule refl :args (@t53)) % 0.38/0.56 (step @p45 :rule refl :args (@t56)) % 0.38/0.56 (step @p46 :rule bool-double-not-elim :args (@t57)) % 0.38/0.56 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33) :args ((or (not @t58) @t56 @t53 @t50 @t48 @t46 @t43 @t40 @t38 @t34 @t32 @t29 @t27 @t22))) % 0.38/0.56 (assume-push @p112 @t58) % 0.38/0.56 (assume-push @p113 @t55) % 0.38/0.56 (assume-push @p114 @t52) % 0.38/0.56 (assume-push @p115 @t49) % 0.38/0.56 (assume-push @p116 @t47) % 0.38/0.56 (assume-push @p117 @t45) % 0.38/0.56 (assume-push @p118 @t42) % 0.38/0.56 (assume-push @p119 @t39) % 0.38/0.56 (assume-push @p120 @t37) % 0.38/0.56 (assume-push @p121 @t33) % 0.38/0.56 (assume-push @p122 @t31) % 0.38/0.56 (assume-push @p123 @t28) % 0.38/0.56 (assume-push @p124 @t26) % 0.38/0.56 (step @p61 :rule false_intro :premises (@p7)) % 0.38/0.56 (step @p62 :rule cong :premises (@p30 @p11) :args (@t20)) % 0.38/0.56 (step @p63 :rule symm :premises (@p62)) % 0.38/0.56 (step @p64 :rule symm :premises (@p28)) % 0.38/0.56 (step @p65 :rule symm :premises (@p21)) % 0.38/0.56 (step @p66 :rule symm :premises (@p17)) % 0.38/0.56 (step @p67 :rule refl :args (tptp.identity)) % 0.38/0.56 (step @p68 :rule cong :premises (@p67 @p66) :args (@t41)) % 0.38/0.56 (step @p69 :rule trans :premises (@p22 @p68 @p65)) % 0.38/0.56 (step @p70 :rule refl :args (@t15)) % 0.38/0.56 (step @p71 :rule cong :premises (@p70 @p69) :args (@t36)) % 0.38/0.56 (step @p72 :rule cong :premises (@p70 @p23) :args (@t51)) % 0.38/0.56 (step @p73 :rule trans :premises (@p12 @p72)) % 0.38/0.56 (step @p74 :rule symm :premises (@p29)) % 0.38/0.56 (step @p75 :rule cong :premises (@p67 @p16) :args (@t44)) % 0.38/0.56 (step @p76 :rule trans :premises (@p21 @p75 @p74)) % 0.38/0.56 (step @p77 :rule symm :premises (@p76)) % 0.38/0.56 (step @p78 :rule trans :premises (@p77 @p73)) % 0.38/0.56 (step @p79 :rule cong :premises (@p78 @p70) :args (@t25)) % 0.38/0.56 (step @p80 :rule symm :premises (@p31)) % 0.38/0.56 (step @p81 :rule symm :premises (@p11)) % 0.38/0.56 (step @p82 :rule trans :premises (@p81 @p17)) % 0.38/0.56 (step @p83 :rule refl :args (@t19)) % 0.38/0.56 (step @p84 :rule cong :premises (@p83 @p82) :args ((tptp.multiply @t19 @t54))) % 0.38/0.56 (step @p85 :rule trans :premises (@p84 @p80 @p79 @p24 @p71 @p64)) % 0.38/0.56 (step @p86 :rule symm :premises (@p85)) % 0.38/0.56 (step @p87 :rule trans :premises (@p86 @p63)) % 0.38/0.56 (step @p88 :rule symm :premises (@p87)) % 0.38/0.56 (step @p89 :rule refl :args (tptp.a)) % 0.38/0.56 (step @p90 :rule cong :premises (@p89 @p88) :args (@t21)) % 0.38/0.56 (step @p91 :rule trans :premises (@p90 @p61)) % 0.38/0.56 (step @p92 :rule false_elim :premises (@p91)) % 0.38/0.56 (step-pop @p125 :rule scope :premises (@p92)) % 0.38/0.56 (step-pop @p126 :rule scope :premises (@p125)) % 0.38/0.56 (step-pop @p127 :rule scope :premises (@p126)) % 0.38/0.56 (step-pop @p128 :rule scope :premises (@p127)) % 0.38/0.56 (step-pop @p129 :rule scope :premises (@p128)) % 0.38/0.56 (step-pop @p130 :rule scope :premises (@p129)) % 0.38/0.56 (step-pop @p131 :rule scope :premises (@p130)) % 0.38/0.56 (step-pop @p132 :rule scope :premises (@p131)) % 0.38/0.56 (step-pop @p133 :rule scope :premises (@p132)) % 0.38/0.56 (step-pop @p134 :rule scope :premises (@p133)) % 0.38/0.56 (step-pop @p135 :rule scope :premises (@p134)) % 0.38/0.56 (step-pop @p136 :rule scope :premises (@p135)) % 0.38/0.56 (step-pop @p137 :rule scope :premises (@p136)) % 0.38/0.56 (step @p93 :rule process_scope :premises (@p137) :args (@t22)) % 0.38/0.56 (step @p107 :rule implies_elim :premises (@p93)) % 0.38/0.56 (step @p108 :rule cnf_and_neg :args (@t59)) % 0.38/0.56 (step @p109 :rule resolution :premises (@p108 @p107) :args (true @t59)) % 0.38/0.56 (step @p110 :rule eq_resolve :premises (@p109 @p47)) % 0.38/0.56 (step @p111 false :rule chain_m_resolution :premises (@p110 @p32 @p31 @p30 @p29 @p28 @p24 @p23 @p22 @p21 @p17 @p16 @p12 @p11 @p7) :args (false (@list false false false false false false false false false false false false false true) (@list @t21 @t26 @t28 @t31 @t33 @t37 @t39 @t42 @t45 @t47 @t49 @t52 @t55 @t57))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------