%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP195-1 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:20:11 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.58s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP195-1 : TPTP v9.2.1. Released v2.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.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 00:57:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----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... % 0.36/0.58 % SZS status Unsatisfiable % 0.36/0.58 % SZS output start Proof % 0.36/0.59 ( % 0.36/0.59 (declare-sort $$unsorted 0) % 0.36/0.59 (declare-const tptp.b $$unsorted) % 0.36/0.59 (declare-const tptp.a $$unsorted) % 0.36/0.59 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (define @t1 () (@var "Z" $$unsorted)) % 0.36/0.59 (define @t2 () (@var "Y" $$unsorted)) % 0.36/0.59 (define @t3 () (@var "X" $$unsorted)) % 0.36/0.59 (define @t4 () (forall (@list @t3 @t2 @t1) (= (tptp.multiply (tptp.multiply @t3 @t2) @t1) (tptp.multiply @t3 (tptp.multiply @t2 @t1))))) % 0.36/0.59 (define @t5 () (forall (@list @t3 @t2) (= (tptp.multiply @t3 (tptp.multiply @t2 @t2)) (tptp.multiply @t2 (tptp.multiply @t2 @t3))))) % 0.36/0.59 (define @t6 () (tptp.multiply tptp.b tptp.b)) % 0.36/0.59 (define @t7 () (tptp.multiply tptp.b (tptp.multiply tptp.b @t6))) % 0.36/0.59 (define @t8 () (tptp.multiply tptp.a @t7)) % 0.36/0.59 (define @t9 () (tptp.multiply tptp.a (tptp.multiply tptp.a @t8))) % 0.36/0.59 (define @t10 () (tptp.multiply tptp.a tptp.b)) % 0.36/0.59 (define @t11 () (tptp.multiply tptp.a (tptp.multiply tptp.b @t10))) % 0.36/0.59 (define @t12 () (tptp.multiply tptp.b @t11)) % 0.36/0.59 (define @t13 () (tptp.multiply tptp.b (tptp.multiply tptp.a @t12))) % 0.36/0.59 (define @t14 () (tptp.multiply tptp.a @t13)) % 0.36/0.59 (define @t15 () (= @t14 (tptp.multiply tptp.a @t9))) % 0.36/0.59 (define @t16 () (tptp.multiply @t6 @t6)) % 0.36/0.59 (define @t17 () (= @t16 @t7)) % 0.36/0.59 (define @t18 () (@list tptp.b tptp.b @t6)) % 0.36/0.59 (define @t19 () (= @t7 @t16)) % 0.36/0.59 (define @t20 () (@list false)) % 0.36/0.59 (define @t21 () (@list @t4)) % 0.36/0.59 (define @t22 () (tptp.multiply tptp.a tptp.a)) % 0.36/0.59 (define @t23 () (tptp.multiply @t22 @t8)) % 0.36/0.59 (define @t24 () (= @t23 @t9)) % 0.36/0.59 (define @t25 () (@list tptp.a tptp.a @t8)) % 0.36/0.59 (define @t26 () (= @t9 @t23)) % 0.36/0.59 (define @t27 () (tptp.multiply @t10 @t10)) % 0.36/0.59 (define @t28 () (= @t27 @t11)) % 0.36/0.59 (define @t29 () (= @t11 @t27)) % 0.36/0.59 (define @t30 () (tptp.multiply tptp.b tptp.a)) % 0.36/0.59 (define @t31 () (tptp.multiply @t30 @t12)) % 0.36/0.59 (define @t32 () (= @t31 @t13)) % 0.36/0.59 (define @t33 () (= @t13 @t31)) % 0.36/0.59 (define @t34 () (tptp.multiply @t10 tptp.b)) % 0.36/0.59 (define @t35 () (tptp.multiply tptp.a @t6)) % 0.36/0.59 (define @t36 () (= @t34 @t35)) % 0.36/0.59 (define @t37 () (@list tptp.a tptp.b tptp.b)) % 0.36/0.59 (define @t38 () (= @t35 @t34)) % 0.36/0.59 (define @t39 () (tptp.multiply @t6 tptp.a)) % 0.36/0.59 (define @t40 () (tptp.multiply @t39 tptp.a)) % 0.36/0.59 (define @t41 () (tptp.multiply @t6 @t22)) % 0.36/0.59 (define @t42 () (= @t40 @t41)) % 0.36/0.59 (define @t43 () (@list @t6 tptp.a tptp.a)) % 0.36/0.59 (define @t44 () (= @t41 @t40)) % 0.36/0.59 (define @t45 () (tptp.multiply tptp.b @t22)) % 0.36/0.59 (define @t46 () (tptp.multiply tptp.a @t10)) % 0.36/0.59 (define @t47 () (= @t45 @t46)) % 0.36/0.59 (define @t48 () (= @t46 @t45)) % 0.36/0.59 (define @t49 () (tptp.multiply @t6 @t39)) % 0.36/0.59 (define @t50 () (tptp.multiply tptp.a @t16)) % 0.36/0.59 (define @t51 () (= @t50 @t49)) % 0.36/0.59 (define @t52 () (tptp.multiply @t10 @t34)) % 0.36/0.59 (define @t53 () (= (tptp.multiply tptp.b @t27) @t52)) % 0.36/0.59 (define @t54 () (tptp.multiply tptp.b @t30)) % 0.36/0.59 (define @t55 () (= @t39 @t54)) % 0.36/0.59 (define @t56 () (= @t41 (tptp.multiply tptp.b @t45))) % 0.36/0.59 (define @t57 () (tptp.multiply @t22 @t49)) % 0.36/0.59 (define @t58 () (tptp.multiply @t22 @t6)) % 0.36/0.59 (define @t59 () (= (tptp.multiply @t58 @t39) @t57)) % 0.36/0.59 (define @t60 () (tptp.multiply @t30 @t10)) % 0.36/0.59 (define @t61 () (tptp.multiply @t60 @t34)) % 0.36/0.59 (define @t62 () (= @t61 (tptp.multiply @t30 @t52))) % 0.36/0.59 (define @t63 () (= @t35 @t54)) % 0.36/0.59 (define @t64 () (tptp.multiply tptp.a @t35)) % 0.36/0.59 (define @t65 () (= @t41 @t64)) % 0.36/0.59 (define @t66 () (= @t58 @t64)) % 0.36/0.59 (define @t67 () (tptp.multiply tptp.b @t46)) % 0.36/0.59 (define @t68 () (= @t60 @t67)) % 0.36/0.59 (define @t69 () (tptp.multiply @t35 tptp.a)) % 0.36/0.59 (define @t70 () (and @t19 @t26 @t29 @t33 @t51 @t53 @t38 @t55 @t56 @t59 @t62 @t44 @t63 @t65 @t48 @t66 @t68)) % 0.36/0.59 (assume @p1 @t4) % 0.36/0.59 (assume @p2 @t5) % 0.36/0.59 (assume @p3 (not @t15)) % 0.36/0.59 (step @p4 :rule eq-symm :args (@t16 @t7)) % 0.36/0.59 (step @p5 :rule refl :args (@t4)) % 0.36/0.59 (step @p6 :rule cong :premises (@p5 @p4) :args ((=> @t4 @t17))) % 0.36/0.59 (assume-push @p152 @t4) % 0.36/0.59 (step @p8 :rule instantiate :premises (@p1) :args (@t18)) % 0.36/0.59 (step-pop @p153 :rule scope :premises (@p8)) % 0.36/0.59 (step @p9 :rule process_scope :premises (@p153) :args (@t17)) % 0.36/0.59 (step @p11 :rule eq_resolve :premises (@p9 @p6)) % 0.36/0.59 (step @p12 :rule implies_elim :premises (@p11)) % 0.36/0.59 (step @p13 :rule chain_m_resolution :premises (@p12 @p1) :args (@t19 @t20 @t21)) % 0.36/0.59 (step @p14 :rule eq-symm :args (@t23 @t9)) % 0.36/0.59 (step @p15 :rule cong :premises (@p5 @p14) :args ((=> @t4 @t24))) % 0.36/0.59 (assume-push @p154 @t4) % 0.36/0.59 (step @p17 :rule instantiate :premises (@p1) :args (@t25)) % 0.36/0.59 (step-pop @p155 :rule scope :premises (@p17)) % 0.36/0.59 (step @p18 :rule process_scope :premises (@p155) :args (@t24)) % 0.36/0.59 (step @p20 :rule eq_resolve :premises (@p18 @p15)) % 0.36/0.59 (step @p21 :rule implies_elim :premises (@p20)) % 0.36/0.59 (step @p22 :rule chain_m_resolution :premises (@p21 @p1) :args (@t26 @t20 @t21)) % 0.36/0.59 (step @p23 :rule eq-symm :args (@t27 @t11)) % 0.36/0.59 (step @p24 :rule cong :premises (@p5 @p23) :args ((=> @t4 @t28))) % 0.36/0.59 (assume-push @p156 @t4) % 0.36/0.59 (step @p26 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.b @t10))) % 0.36/0.59 (step-pop @p157 :rule scope :premises (@p26)) % 0.36/0.59 (step @p27 :rule process_scope :premises (@p157) :args (@t28)) % 0.36/0.59 (step @p29 :rule eq_resolve :premises (@p27 @p24)) % 0.36/0.59 (step @p30 :rule implies_elim :premises (@p29)) % 0.36/0.59 (step @p31 :rule chain_m_resolution :premises (@p30 @p1) :args (@t29 @t20 @t21)) % 0.36/0.59 (step @p32 :rule eq-symm :args (@t31 @t13)) % 0.36/0.59 (step @p33 :rule cong :premises (@p5 @p32) :args ((=> @t4 @t32))) % 0.36/0.59 (assume-push @p158 @t4) % 0.36/0.59 (step @p35 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.a @t12))) % 0.36/0.59 (step-pop @p159 :rule scope :premises (@p35)) % 0.36/0.59 (step @p36 :rule process_scope :premises (@p159) :args (@t32)) % 0.36/0.59 (step @p38 :rule eq_resolve :premises (@p36 @p33)) % 0.36/0.59 (step @p39 :rule implies_elim :premises (@p38)) % 0.36/0.59 (step @p40 :rule chain_m_resolution :premises (@p39 @p1) :args (@t33 @t20 @t21)) % 0.36/0.59 (step @p41 :rule instantiate :premises (@p2) :args ((@list tptp.a @t6))) % 0.36/0.59 (step @p42 :rule instantiate :premises (@p2) :args ((@list tptp.b @t10))) % 0.36/0.59 (step @p43 :rule eq-symm :args (@t34 @t35)) % 0.36/0.59 (step @p44 :rule cong :premises (@p5 @p43) :args ((=> @t4 @t36))) % 0.36/0.59 (assume-push @p160 @t4) % 0.36/0.59 (step @p46 :rule instantiate :premises (@p1) :args (@t37)) % 0.36/0.59 (step-pop @p161 :rule scope :premises (@p46)) % 0.36/0.59 (step @p47 :rule process_scope :premises (@p161) :args (@t36)) % 0.36/0.59 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 0.36/0.59 (step @p50 :rule implies_elim :premises (@p49)) % 0.36/0.59 (step @p51 :rule chain_m_resolution :premises (@p50 @p1) :args (@t38 @t20 @t21)) % 0.36/0.59 (step @p52 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.b tptp.a))) % 0.36/0.59 (step @p53 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.b @t22))) % 0.36/0.59 (step @p54 :rule instantiate :premises (@p1) :args ((@list @t22 @t6 @t39))) % 0.36/0.59 (step @p55 :rule instantiate :premises (@p1) :args ((@list @t30 @t10 @t34))) % 0.36/0.59 (step @p56 :rule eq-symm :args (@t40 @t41)) % 0.36/0.59 (step @p57 :rule cong :premises (@p5 @p56) :args ((=> @t4 @t42))) % 0.36/0.59 (assume-push @p162 @t4) % 0.36/0.59 (step @p59 :rule instantiate :premises (@p1) :args (@t43)) % 0.36/0.59 (step-pop @p163 :rule scope :premises (@p59)) % 0.36/0.59 (step @p60 :rule process_scope :premises (@p163) :args (@t42)) % 0.36/0.59 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 0.36/0.59 (step @p63 :rule implies_elim :premises (@p62)) % 0.36/0.59 (step @p64 :rule chain_m_resolution :premises (@p63 @p1) :args (@t44 @t20 @t21)) % 0.36/0.59 (step @p65 :rule instantiate :premises (@p2) :args ((@list tptp.a tptp.b))) % 0.36/0.59 (step @p66 :rule instantiate :premises (@p2) :args ((@list @t6 tptp.a))) % 0.36/0.59 (step @p67 :rule eq-symm :args (@t45 @t46)) % 0.36/0.59 (step @p68 :rule refl :args (@t5)) % 0.36/0.59 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t5 @t47))) % 0.36/0.59 (assume-push @p164 @t5) % 0.36/0.59 (step @p71 :rule instantiate :premises (@p2) :args ((@list tptp.b tptp.a))) % 0.36/0.59 (step-pop @p165 :rule scope :premises (@p71)) % 0.36/0.59 (step @p72 :rule process_scope :premises (@p165) :args (@t47)) % 0.36/0.59 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 0.36/0.59 (step @p75 :rule implies_elim :premises (@p74)) % 0.36/0.59 (step @p76 :rule chain_m_resolution :premises (@p75 @p2) :args (@t48 @t20 (@list @t5))) % 0.36/0.59 (step @p77 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.a @t6))) % 0.36/0.59 (step @p78 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.a @t10))) % 0.36/0.59 (assume-push @p166 @t19) % 0.36/0.59 (assume-push @p167 @t26) % 0.36/0.59 (assume-push @p168 @t29) % 0.36/0.59 (assume-push @p169 @t33) % 0.36/0.59 (assume-push @p170 @t51) % 0.36/0.59 (assume-push @p171 @t53) % 0.36/0.59 (assume-push @p172 @t38) % 0.36/0.59 (assume-push @p173 @t55) % 0.36/0.59 (assume-push @p174 @t56) % 0.36/0.59 (assume-push @p175 @t59) % 0.36/0.59 (assume-push @p176 @t62) % 0.36/0.59 (assume-push @p177 @t44) % 0.36/0.59 (assume-push @p178 @t63) % 0.36/0.59 (assume-push @p179 @t65) % 0.36/0.59 (assume-push @p180 @t48) % 0.36/0.59 (assume-push @p181 @t66) % 0.36/0.59 (assume-push @p182 @t68) % 0.36/0.59 (step @p17 :rule instantiate :premises (@p1) :args (@t25)) % 0.36/0.59 (step @p8 :rule instantiate :premises (@p1) :args (@t18)) % 0.36/0.59 (step @p96 :rule refl :args (tptp.a)) % 0.36/0.59 (step @p97 :rule cong :premises (@p96 @p8) :args (@t50)) % 0.36/0.59 (step @p98 :rule symm :premises (@p41)) % 0.36/0.59 (step @p99 :rule trans :premises (@p98 @p97)) % 0.36/0.59 (step @p100 :rule refl :args (@t22)) % 0.36/0.59 (step @p101 :rule cong :premises (@p100 @p99) :args (@t57)) % 0.36/0.59 (step @p102 :rule symm :premises (@p52)) % 0.36/0.59 (step @p103 :rule trans :premises (@p65 @p102)) % 0.36/0.59 (step @p104 :rule refl :args (@t58)) % 0.36/0.59 (step @p105 :rule cong :premises (@p104 @p103) :args ((tptp.multiply @t58 @t35))) % 0.36/0.59 (step @p106 :rule refl :args (@t35)) % 0.36/0.59 (step @p107 :rule symm :premises (@p77)) % 0.36/0.59 (step @p108 :rule trans :premises (@p66 @p107)) % 0.36/0.59 (step @p59 :rule instantiate :premises (@p1) :args (@t43)) % 0.36/0.59 (step @p109 :rule cong :premises (@p103 @p96) :args (@t69)) % 0.36/0.59 (step @p110 :rule trans :premises (@p109 @p59)) % 0.36/0.59 (step @p111 :rule trans :premises (@p110 @p108)) % 0.36/0.59 (step @p112 :rule cong :premises (@p111 @p106) :args ((tptp.multiply @t69 @t35))) % 0.36/0.59 (step @p113 :rule symm :premises (@p110)) % 0.36/0.59 (step @p114 :rule symm :premises (@p53)) % 0.36/0.59 (step @p115 :rule refl :args (tptp.b)) % 0.36/0.59 (step @p116 :rule cong :premises (@p115 @p76) :args (@t67)) % 0.36/0.59 (step @p117 :rule trans :premises (@p78 @p116 @p114)) % 0.36/0.59 (step @p118 :rule trans :premises (@p117 @p113)) % 0.36/0.59 (step @p119 :rule cong :premises (@p118 @p106) :args ((tptp.multiply @t60 @t35))) % 0.36/0.59 (step @p46 :rule instantiate :premises (@p1) :args (@t37)) % 0.36/0.59 (step @p120 :rule refl :args (@t60)) % 0.36/0.59 (step @p121 :rule cong :premises (@p120 @p46) :args (@t61)) % 0.36/0.59 (step @p122 :rule symm :premises (@p55)) % 0.36/0.59 (step @p123 :rule cong :premises (@p115 @p31) :args (@t12)) % 0.36/0.59 (step @p124 :rule trans :premises (@p123 @p42)) % 0.36/0.59 (step @p125 :rule refl :args (@t30)) % 0.36/0.59 (step @p126 :rule cong :premises (@p125 @p124) :args (@t31)) % 0.36/0.59 (step @p127 :rule trans :premises (@p40 @p126 @p122 @p121 @p119 @p112 @p105 @p54 @p101 @p17)) % 0.36/0.59 (step @p128 :rule cong :premises (@p96 @p127) :args (@t14)) % 0.36/0.59 (step-pop @p183 :rule scope :premises (@p128)) % 0.36/0.59 (step-pop @p184 :rule scope :premises (@p183)) % 0.36/0.59 (step-pop @p185 :rule scope :premises (@p184)) % 0.36/0.59 (step-pop @p186 :rule scope :premises (@p185)) % 0.36/0.59 (step-pop @p187 :rule scope :premises (@p186)) % 0.36/0.59 (step-pop @p188 :rule scope :premises (@p187)) % 0.36/0.59 (step-pop @p189 :rule scope :premises (@p188)) % 0.36/0.59 (step-pop @p190 :rule scope :premises (@p189)) % 0.36/0.59 (step-pop @p191 :rule scope :premises (@p190)) % 0.36/0.59 (step-pop @p192 :rule scope :premises (@p191)) % 0.36/0.59 (step-pop @p193 :rule scope :premises (@p192)) % 0.36/0.59 (step-pop @p194 :rule scope :premises (@p193)) % 0.36/0.59 (step-pop @p195 :rule scope :premises (@p194)) % 0.36/0.59 (step-pop @p196 :rule scope :premises (@p195)) % 0.36/0.59 (step-pop @p197 :rule scope :premises (@p196)) % 0.36/0.59 (step-pop @p198 :rule scope :premises (@p197)) % 0.36/0.59 (step-pop @p199 :rule scope :premises (@p198)) % 0.36/0.59 (step @p129 :rule process_scope :premises (@p199) :args (@t15)) % 0.36/0.59 (step @p147 :rule implies_elim :premises (@p129)) % 0.36/0.59 (step @p148 :rule cnf_and_neg :args (@t70)) % 0.36/0.59 (step @p149 :rule resolution :premises (@p148 @p147) :args (true @t70)) % 0.36/0.59 (step @p150 :rule reordering :premises (@p149) :args ((or @t15 (not @t19) (not @t26) (not @t29) (not @t33) (not @t51) (not @t53) (not @t38) (not @t55) (not @t56) (not @t59) (not @t62) (not @t44) (not @t63) (not @t65) (not @t48) (not @t66) (not @t68)))) % 0.36/0.59 (step @p151 false :rule chain_m_resolution :premises (@p150 @p78 @p77 @p76 @p66 @p65 @p64 @p55 @p54 @p53 @p52 @p51 @p42 @p41 @p40 @p31 @p22 @p13 @p3) :args (false (@list false false false false false false false false false false false false false false false false false true) (@list @t68 @t66 @t48 @t65 @t63 @t44 @t62 @t59 @t56 @t55 @t38 @t53 @t51 @t33 @t29 @t26 @t19 @t15))) % 0.36/0.59 ) % 0.36/0.59 % SZS output end Proof % 0.36/0.59 % cvc5 exiting %------------------------------------------------------------------------------