%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP001-4 : 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 : 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 08:19:32 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP001-4 : 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 % 0.15/0.34 % Computer : n020.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 00:39:10 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----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... % 0.39/0.60 % SZS status Unsatisfiable % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.a $$unsorted) % 0.39/0.60 (declare-const tptp.b $$unsorted) % 0.39/0.60 (declare-const tptp.c $$unsorted) % 0.39/0.60 (declare-const tptp.identity $$unsorted) % 0.39/0.60 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (define @t1 () (@var "Z" $$unsorted)) % 0.39/0.60 (define @t2 () (@var "Y" $$unsorted)) % 0.39/0.60 (define @t3 () (@var "X" $$unsorted)) % 0.39/0.60 (define @t4 () (forall (@list @t3 @t2 @t1) (= (tptp.multiply (tptp.multiply @t3 @t2) @t1) (tptp.multiply @t3 (tptp.multiply @t2 @t1))))) % 0.39/0.60 (define @t5 () (tptp.multiply tptp.identity @t3)) % 0.39/0.60 (define @t6 () (@list @t3)) % 0.39/0.60 (define @t7 () (forall @t6 (= @t5 @t3))) % 0.39/0.60 (define @t8 () (tptp.multiply @t3 @t3)) % 0.39/0.60 (define @t9 () (forall @t6 (= @t8 tptp.identity))) % 0.39/0.60 (define @t10 () (tptp.multiply tptp.a tptp.b)) % 0.39/0.60 (define @t11 () (tptp.multiply tptp.b tptp.a)) % 0.39/0.60 (define @t12 () (@list tptp.a)) % 0.39/0.60 (define @t13 () (tptp.multiply tptp.a tptp.a)) % 0.39/0.60 (define @t14 () (@list tptp.b)) % 0.39/0.60 (define @t15 () (tptp.multiply @t10 tptp.a)) % 0.39/0.60 (define @t16 () (tptp.multiply @t15 tptp.b)) % 0.39/0.60 (define @t17 () (tptp.multiply @t10 @t10)) % 0.39/0.61 (define @t18 () (= @t16 @t17)) % 0.39/0.61 (define @t19 () (= @t17 @t16)) % 0.39/0.61 (define @t20 () (tptp.multiply tptp.a @t15)) % 0.39/0.61 (define @t21 () (= tptp.c @t10)) % 0.39/0.61 (define @t22 () (tptp.multiply tptp.a @t13)) % 0.39/0.61 (define @t23 () (tptp.multiply @t13 tptp.a)) % 0.39/0.61 (define @t24 () (= @t23 @t22)) % 0.39/0.61 (define @t25 () (= tptp.a (tptp.multiply tptp.identity tptp.a))) % 0.39/0.61 (define @t26 () (= tptp.identity @t13)) % 0.39/0.61 (define @t27 () (tptp.multiply @t13 @t10)) % 0.39/0.61 (define @t28 () (tptp.multiply @t23 tptp.b)) % 0.39/0.61 (define @t29 () (= @t28 @t27)) % 0.39/0.61 (define @t30 () (tptp.multiply tptp.a @t10)) % 0.39/0.61 (define @t31 () (tptp.multiply tptp.a @t30)) % 0.39/0.61 (define @t32 () (= @t27 @t31)) % 0.39/0.61 (define @t33 () (tptp.multiply tptp.b @t22)) % 0.39/0.61 (define @t34 () (= (tptp.multiply @t11 @t13) @t33)) % 0.39/0.61 (define @t35 () (tptp.multiply @t13 tptp.b)) % 0.39/0.61 (define @t36 () (= @t35 @t30)) % 0.39/0.61 (define @t37 () (= tptp.b (tptp.multiply tptp.identity tptp.b))) % 0.39/0.61 (define @t38 () (tptp.multiply @t30 tptp.a)) % 0.39/0.61 (define @t39 () (= @t38 @t20)) % 0.39/0.61 (define @t40 () (tptp.multiply @t10 @t13)) % 0.39/0.61 (define @t41 () (tptp.multiply tptp.a @t40)) % 0.39/0.61 (define @t42 () (= (tptp.multiply @t30 @t13) @t41)) % 0.39/0.61 (define @t43 () (tptp.multiply tptp.b @t13)) % 0.39/0.61 (define @t44 () (tptp.multiply tptp.a @t43)) % 0.39/0.61 (define @t45 () (= @t40 @t44)) % 0.39/0.61 (define @t46 () (tptp.multiply @t17 @t10)) % 0.39/0.61 (define @t47 () (= @t46 (tptp.multiply @t10 @t17))) % 0.39/0.61 (define @t48 () (= tptp.identity @t17)) % 0.39/0.61 (define @t49 () (tptp.multiply tptp.b @t30)) % 0.39/0.61 (define @t50 () (tptp.multiply @t11 @t10)) % 0.39/0.61 (define @t51 () (= @t50 @t49)) % 0.39/0.61 (define @t52 () (tptp.multiply @t20 tptp.b)) % 0.39/0.61 (define @t53 () (= @t52 (tptp.multiply tptp.a @t16))) % 0.39/0.61 (define @t54 () (tptp.multiply tptp.b tptp.b)) % 0.39/0.61 (define @t55 () (tptp.multiply @t20 @t54)) % 0.39/0.61 (define @t56 () (= (tptp.multiply @t52 tptp.b) @t55)) % 0.39/0.61 (define @t57 () (= tptp.identity @t54)) % 0.39/0.61 (define @t58 () (= tptp.c @t11)) % 0.39/0.61 (define @t59 () (and @t21 @t24 @t25 @t26 @t29 @t32 @t34 @t36 @t37 @t39 @t42 @t45 @t47 @t48 @t19 @t51 @t53 @t56 @t57)) % 0.39/0.61 (assume @p1 @t4) % 0.39/0.61 (assume @p2 @t7) % 0.39/0.61 (assume @p3 @t9) % 0.39/0.61 (assume @p4 (= @t10 tptp.c)) % 0.39/0.61 (assume @p5 (not (= @t11 tptp.c))) % 0.39/0.61 (step @p6 :rule symm :premises (@p4)) % 0.39/0.61 (step @p7 :rule symm :premises (@p5)) % 0.39/0.61 (step @p8 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.a tptp.a))) % 0.39/0.61 (step @p9 :rule eq-symm :args (@t5 @t3)) % 0.39/0.61 (step @p10 :rule cong :premises (@p9) :args (@t7)) % 0.39/0.61 (step @p11 :rule eq_resolve :premises (@p2 @p10)) % 0.39/0.61 (step @p12 :rule instantiate :premises (@p11) :args (@t12)) % 0.39/0.61 (step @p13 :rule eq-symm :args (@t8 tptp.identity)) % 0.39/0.61 (step @p14 :rule cong :premises (@p13) :args (@t9)) % 0.39/0.61 (step @p15 :rule eq_resolve :premises (@p3 @p14)) % 0.39/0.61 (step @p16 :rule instantiate :premises (@p15) :args (@t12)) % 0.39/0.61 (step @p17 :rule instantiate :premises (@p1) :args ((@list @t13 tptp.a tptp.b))) % 0.39/0.61 (step @p18 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.a @t10))) % 0.39/0.61 (step @p19 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.a @t13))) % 0.39/0.61 (step @p20 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.a tptp.b))) % 0.39/0.61 (step @p21 :rule instantiate :premises (@p11) :args (@t14)) % 0.39/0.61 (step @p22 :rule instantiate :premises (@p1) :args ((@list tptp.a @t10 tptp.a))) % 0.39/0.61 (step @p23 :rule instantiate :premises (@p1) :args ((@list tptp.a @t10 @t13))) % 0.39/0.61 (step @p24 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.b @t13))) % 0.39/0.61 (step @p25 :rule instantiate :premises (@p1) :args ((@list @t10 @t10 @t10))) % 0.39/0.61 (step @p26 :rule instantiate :premises (@p15) :args ((@list @t10))) % 0.39/0.61 (step @p27 :rule eq-symm :args (@t16 @t17)) % 0.39/0.61 (step @p28 :rule refl :args (@t4)) % 0.39/0.61 (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t4 @t18))) % 0.39/0.61 (assume-push @p139 @t4) % 0.39/0.61 (step @p31 :rule instantiate :premises (@p1) :args ((@list @t10 tptp.a tptp.b))) % 0.39/0.61 (step-pop @p140 :rule scope :premises (@p31)) % 0.39/0.61 (step @p32 :rule process_scope :premises (@p140) :args (@t18)) % 0.39/0.61 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 0.39/0.61 (step @p35 :rule implies_elim :premises (@p34)) % 0.39/0.61 (step @p36 :rule chain_m_resolution :premises (@p35 @p1) :args (@t19 (@list false) (@list @t4))) % 0.39/0.61 (step @p37 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.a @t10))) % 0.39/0.61 (step @p38 :rule instantiate :premises (@p1) :args ((@list tptp.a @t15 tptp.b))) % 0.39/0.61 (step @p39 :rule instantiate :premises (@p1) :args ((@list @t20 tptp.b tptp.b))) % 0.39/0.61 (step @p40 :rule instantiate :premises (@p15) :args (@t14)) % 0.39/0.61 (assume-push @p141 @t21) % 0.39/0.61 (assume-push @p142 @t24) % 0.39/0.61 (assume-push @p143 @t25) % 0.39/0.61 (assume-push @p144 @t26) % 0.39/0.61 (assume-push @p145 @t29) % 0.39/0.61 (assume-push @p146 @t32) % 0.39/0.61 (assume-push @p147 @t34) % 0.39/0.61 (assume-push @p148 @t36) % 0.39/0.61 (assume-push @p149 @t37) % 0.39/0.61 (assume-push @p150 @t39) % 0.39/0.61 (assume-push @p151 @t42) % 0.39/0.61 (assume-push @p152 @t45) % 0.39/0.61 (assume-push @p153 @t47) % 0.39/0.61 (assume-push @p154 @t48) % 0.39/0.61 (assume-push @p155 @t19) % 0.39/0.61 (assume-push @p156 @t51) % 0.39/0.61 (assume-push @p157 @t53) % 0.39/0.61 (assume-push @p158 @t56) % 0.39/0.61 (assume-push @p159 @t57) % 0.39/0.61 (step @p60 :rule symm :premises (@p12)) % 0.39/0.61 (step @p61 :rule refl :args (tptp.a)) % 0.39/0.61 (step @p62 :rule symm :premises (@p16)) % 0.39/0.61 (step @p63 :rule cong :premises (@p62 @p61) :args (@t23)) % 0.39/0.61 (step @p64 :rule trans :premises (@p63 @p60)) % 0.39/0.61 (step @p65 :rule refl :args (tptp.b)) % 0.39/0.61 (step @p66 :rule cong :premises (@p65 @p64) :args ((tptp.multiply tptp.b @t23))) % 0.39/0.61 (step @p67 :rule symm :premises (@p8)) % 0.39/0.61 (step @p68 :rule cong :premises (@p65 @p67) :args (@t33)) % 0.39/0.61 (step @p69 :rule symm :premises (@p40)) % 0.39/0.61 (step @p70 :rule symm :premises (@p21)) % 0.39/0.61 (step @p71 :rule cong :premises (@p62 @p65) :args (@t35)) % 0.39/0.61 (step @p72 :rule symm :premises (@p20)) % 0.39/0.61 (step @p73 :rule trans :premises (@p72 @p71 @p70)) % 0.39/0.61 (step @p74 :rule cong :premises (@p65 @p73) :args (@t49)) % 0.39/0.61 (step @p75 :rule trans :premises (@p37 @p74 @p69 @p16)) % 0.39/0.61 (step @p76 :rule symm :premises (@p64)) % 0.39/0.61 (step @p77 :rule cong :premises (@p73 @p76) :args (@t38)) % 0.39/0.61 (step @p78 :rule symm :premises (@p22)) % 0.39/0.61 (step @p79 :rule trans :premises (@p78 @p77 @p66)) % 0.39/0.61 (step @p80 :rule cong :premises (@p79 @p75) :args ((tptp.multiply @t20 @t50))) % 0.39/0.61 (step @p81 :rule symm :premises (@p37)) % 0.39/0.61 (step @p82 :rule symm :premises (@p74)) % 0.39/0.61 (step @p83 :rule trans :premises (@p82 @p81)) % 0.39/0.61 (step @p84 :rule refl :args (@t20)) % 0.39/0.61 (step @p85 :rule cong :premises (@p84 @p83) :args (@t55)) % 0.39/0.61 (step @p86 :rule cong :premises (@p64 @p65) :args (@t28)) % 0.39/0.61 (step @p87 :rule symm :premises (@p17)) % 0.39/0.61 (step @p88 :rule symm :premises (@p18)) % 0.39/0.61 (step @p89 :rule trans :premises (@p88 @p87 @p86)) % 0.39/0.61 (step @p90 :rule cong :premises (@p61 @p89) :args ((tptp.multiply tptp.a @t31))) % 0.39/0.61 (step @p91 :rule refl :args (@t10)) % 0.39/0.61 (step @p92 :rule symm :premises (@p26)) % 0.39/0.61 (step @p93 :rule trans :premises (@p92 @p16)) % 0.39/0.61 (step @p94 :rule cong :premises (@p93 @p91) :args (@t46)) % 0.39/0.61 (step @p95 :rule symm :premises (@p25)) % 0.39/0.61 (step @p96 :rule symm :premises (@p93)) % 0.39/0.61 (step @p97 :rule cong :premises (@p91 @p96) :args (@t40)) % 0.39/0.61 (step @p98 :rule trans :premises (@p97 @p95 @p94 @p18)) % 0.39/0.61 (step @p99 :rule cong :premises (@p61 @p98) :args (@t41)) % 0.39/0.61 (step @p100 :rule refl :args (@t13)) % 0.39/0.61 (step @p101 :rule symm :premises (@p73)) % 0.39/0.61 (step @p102 :rule cong :premises (@p101 @p100) :args (@t43)) % 0.39/0.61 (step @p103 :rule trans :premises (@p102 @p23 @p99 @p90 @p72 @p71 @p70)) % 0.39/0.61 (step @p104 :rule symm :premises (@p38)) % 0.39/0.61 (step @p105 :rule trans :premises (@p62 @p26 @p36)) % 0.39/0.61 (step @p106 :rule cong :premises (@p61 @p105) :args (@t22)) % 0.39/0.61 (step @p107 :rule symm :premises (@p63)) % 0.39/0.61 (step @p108 :rule trans :premises (@p12 @p107 @p8 @p106 @p104)) % 0.39/0.61 (step @p109 :rule cong :premises (@p108 @p103) :args (@t44)) % 0.39/0.61 (step @p110 :rule symm :premises (@p97)) % 0.39/0.61 (step @p111 :rule symm :premises (@p94)) % 0.39/0.61 (step @p112 :rule symm :premises (@p86)) % 0.39/0.61 (step @p113 :rule trans :premises (@p6 @p112 @p17 @p111 @p25 @p110 @p24 @p109 @p39 @p85 @p80 @p19 @p68 @p66)) % 0.39/0.61 (step-pop @p160 :rule scope :premises (@p113)) % 0.39/0.61 (step-pop @p161 :rule scope :premises (@p160)) % 0.39/0.61 (step-pop @p162 :rule scope :premises (@p161)) % 0.39/0.61 (step-pop @p163 :rule scope :premises (@p162)) % 0.39/0.61 (step-pop @p164 :rule scope :premises (@p163)) % 0.39/0.61 (step-pop @p165 :rule scope :premises (@p164)) % 0.39/0.61 (step-pop @p166 :rule scope :premises (@p165)) % 0.39/0.61 (step-pop @p167 :rule scope :premises (@p166)) % 0.39/0.61 (step-pop @p168 :rule scope :premises (@p167)) % 0.39/0.61 (step-pop @p169 :rule scope :premises (@p168)) % 0.39/0.61 (step-pop @p170 :rule scope :premises (@p169)) % 0.39/0.61 (step-pop @p171 :rule scope :premises (@p170)) % 0.39/0.61 (step-pop @p172 :rule scope :premises (@p171)) % 0.39/0.61 (step-pop @p173 :rule scope :premises (@p172)) % 0.39/0.61 (step-pop @p174 :rule scope :premises (@p173)) % 0.39/0.61 (step-pop @p175 :rule scope :premises (@p174)) % 0.39/0.61 (step-pop @p176 :rule scope :premises (@p175)) % 0.39/0.61 (step-pop @p177 :rule scope :premises (@p176)) % 0.39/0.61 (step-pop @p178 :rule scope :premises (@p177)) % 0.39/0.61 (step @p114 :rule process_scope :premises (@p178) :args (@t58)) % 0.39/0.61 (step @p134 :rule implies_elim :premises (@p114)) % 0.39/0.61 (step @p135 :rule cnf_and_neg :args (@t59)) % 0.39/0.61 (step @p136 :rule resolution :premises (@p135 @p134) :args (true @t59)) % 0.39/0.61 (step @p137 :rule reordering :premises (@p136) :args ((or @t58 (not @t21) (not @t24) (not @t25) (not @t26) (not @t29) (not @t32) (not @t34) (not @t36) (not @t37) (not @t39) (not @t42) (not @t45) (not @t47) (not @t48) (not @t19) (not @t51) (not @t53) (not @t56) (not @t57)))) % 0.39/0.61 (step @p138 false :rule chain_m_resolution :premises (@p137 @p40 @p39 @p38 @p37 @p36 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p12 @p8 @p7 @p6) :args (false (@list false false false false false false false false false false false false false false false false false false true false) (@list @t57 @t56 @t53 @t51 @t19 @t48 @t47 @t45 @t42 @t39 @t37 @t36 @t34 @t32 @t29 @t26 @t25 @t24 @t58 @t21))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------