%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP184-2 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:20:08 AM UTC 2026 % Result : Unsatisfiable 64.27s 64.52s % Output : Proof 64.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP184-2 : TPTP v9.2.1. Bugfixed v1.2.1. % 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 : n009.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 00:54:44 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.63/15.89 --- Run --no-e-matching --full-saturate-quant at 6... % 21.74/21.92 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.74/27.94 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.74/33.98 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.85/64.43 --- Run --trigger-sel=max --full-saturate-quant at 15... % 64.27/64.52 % SZS status Unsatisfiable % 64.27/64.52 % SZS output start Proof % 64.27/64.52 ( % 64.27/64.52 (declare-sort $$unsorted 0) % 64.27/64.52 (declare-const tptp.a $$unsorted) % 64.27/64.52 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 64.27/64.52 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 64.27/64.52 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 64.27/64.52 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 64.27/64.52 (declare-const tptp.identity $$unsorted) % 64.27/64.52 (define @t1 () (@var "X" $$unsorted)) % 64.27/64.52 (define @t2 () (tptp.multiply tptp.identity @t1)) % 64.27/64.52 (define @t3 () (@list @t1)) % 64.27/64.52 (define @t4 () (forall @t3 (= @t2 @t1))) % 64.27/64.52 (define @t5 () (tptp.inverse @t1)) % 64.27/64.52 (define @t6 () (tptp.multiply @t5 @t1)) % 64.27/64.52 (define @t7 () (forall @t3 (= @t6 tptp.identity))) % 64.27/64.52 (define @t8 () (@var "Z" $$unsorted)) % 64.27/64.52 (define @t9 () (@var "Y" $$unsorted)) % 64.27/64.52 (define @t10 () (tptp.multiply @t1 @t9)) % 64.27/64.52 (define @t11 () (@list @t1 @t9 @t8)) % 64.27/64.52 (define @t12 () (tptp.greatest_lower_bound @t1 @t9)) % 64.27/64.52 (define @t13 () (@list @t1 @t9)) % 64.27/64.52 (define @t14 () (tptp.least_upper_bound @t1 @t9)) % 64.27/64.52 (define @t15 () (tptp.greatest_lower_bound @t9 @t8)) % 64.27/64.52 (define @t16 () (tptp.least_upper_bound @t9 @t8)) % 64.27/64.52 (define @t17 () (tptp.multiply @t1 @t8)) % 64.27/64.52 (define @t18 () (tptp.multiply @t8 @t1)) % 64.27/64.52 (define @t19 () (tptp.multiply @t9 @t1)) % 64.27/64.52 (define @t20 () (@list @t9 @t8 @t1)) % 64.27/64.52 (define @t21 () (tptp.inverse tptp.identity)) % 64.27/64.52 (define @t22 () (tptp.inverse @t5)) % 64.27/64.52 (define @t23 () (forall @t3 (= @t22 @t1))) % 64.27/64.52 (define @t24 () (tptp.least_upper_bound tptp.a tptp.identity)) % 64.27/64.52 (define @t25 () (tptp.greatest_lower_bound tptp.a tptp.identity)) % 64.27/64.52 (define @t26 () (tptp.inverse @t25)) % 64.27/64.52 (define @t27 () (tptp.multiply @t26 @t24)) % 64.27/64.52 (define @t28 () (tptp.multiply @t24 @t26)) % 64.27/64.52 (define @t29 () (= @t28 @t27)) % 64.27/64.52 (define @t30 () (tptp.multiply @t26 tptp.identity)) % 64.27/64.52 (define @t31 () (tptp.multiply @t26 tptp.a)) % 64.27/64.52 (define @t32 () (tptp.multiply tptp.identity @t26)) % 64.27/64.52 (define @t33 () (tptp.multiply tptp.a @t26)) % 64.27/64.52 (define @t34 () (@list tptp.a)) % 64.27/64.52 (define @t35 () (tptp.inverse tptp.a)) % 64.27/64.52 (define @t36 () (@list @t35)) % 64.27/64.52 (define @t37 () (= tptp.identity @t21)) % 64.27/64.52 (define @t38 () (tptp.greatest_lower_bound tptp.identity tptp.a)) % 64.27/64.52 (define @t39 () (= @t25 @t38)) % 64.27/64.52 (define @t40 () (tptp.least_upper_bound @t31 @t30)) % 64.27/64.52 (define @t41 () (= @t27 @t40)) % 64.27/64.52 (define @t42 () (tptp.least_upper_bound @t33 @t32)) % 64.27/64.52 (define @t43 () (= @t28 @t42)) % 64.27/64.52 (define @t44 () (= @t26 @t32)) % 64.27/64.52 (define @t45 () (= @t40 (tptp.least_upper_bound @t30 @t31))) % 64.27/64.52 (define @t46 () (tptp.least_upper_bound @t32 @t33)) % 64.27/64.52 (define @t47 () (= @t42 @t46)) % 64.27/64.52 (define @t48 () (tptp.multiply @t26 @t21)) % 64.27/64.52 (define @t49 () (tptp.multiply tptp.identity @t25)) % 64.27/64.52 (define @t50 () (= (tptp.inverse @t49) @t48)) % 64.27/64.52 (define @t51 () (= @t25 @t49)) % 64.27/64.52 (define @t52 () (tptp.multiply tptp.identity tptp.a)) % 64.27/64.52 (define @t53 () (= tptp.a @t52)) % 64.27/64.52 (define @t54 () (tptp.multiply @t35 tptp.a)) % 64.27/64.52 (define @t55 () (= tptp.identity @t54)) % 64.27/64.52 (define @t56 () (tptp.inverse @t35)) % 64.27/64.52 (define @t57 () (= tptp.a @t56)) % 64.27/64.52 (define @t58 () (tptp.multiply @t35 @t21)) % 64.27/64.52 (define @t59 () (= (tptp.inverse @t52) @t58)) % 64.27/64.52 (define @t60 () (tptp.multiply @t26 @t56)) % 64.27/64.52 (define @t61 () (= (tptp.inverse (tptp.multiply @t35 @t25)) @t60)) % 64.27/64.52 (define @t62 () (tptp.multiply @t25 @t35)) % 64.27/64.52 (define @t63 () (tptp.inverse @t62)) % 64.27/64.52 (define @t64 () (= @t63 (tptp.multiply @t56 @t26))) % 64.27/64.52 (define @t65 () (tptp.multiply tptp.identity @t35)) % 64.27/64.52 (define @t66 () (= @t35 @t65)) % 64.27/64.52 (define @t67 () (= tptp.identity (tptp.multiply @t56 @t35))) % 64.27/64.52 (define @t68 () (tptp.multiply @t35 @t38)) % 64.27/64.52 (define @t69 () (= @t68 (tptp.greatest_lower_bound (tptp.multiply @t35 tptp.identity) @t54))) % 64.27/64.52 (define @t70 () (tptp.multiply tptp.a @t35)) % 64.27/64.52 (define @t71 () (tptp.greatest_lower_bound @t65 @t70)) % 64.27/64.52 (define @t72 () (= (tptp.multiply @t38 @t35) @t71)) % 64.27/64.52 (define @t73 () (and @t37 @t39 @t41 @t43 @t44 @t45 @t47 @t50 @t51 @t53 @t55 @t57 @t59 @t61 @t64 @t66 @t67 @t69 @t72)) % 64.27/64.52 (assume @p1 @t4) % 64.27/64.52 (assume @p2 @t7) % 64.27/64.52 (assume @p3 (forall @t11 (= (tptp.multiply @t10 @t8) (tptp.multiply @t1 (tptp.multiply @t9 @t8))))) % 64.27/64.52 (assume @p4 (forall @t13 (= @t12 (tptp.greatest_lower_bound @t9 @t1)))) % 64.27/64.52 (assume @p5 (forall @t13 (= @t14 (tptp.least_upper_bound @t9 @t1)))) % 64.27/64.52 (assume @p6 (forall @t11 (= (tptp.greatest_lower_bound @t1 @t15) (tptp.greatest_lower_bound @t12 @t8)))) % 64.27/64.52 (assume @p7 (forall @t11 (= (tptp.least_upper_bound @t1 @t16) (tptp.least_upper_bound @t14 @t8)))) % 64.27/64.52 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 64.27/64.52 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 64.27/64.52 (assume @p10 (forall @t13 (= (tptp.least_upper_bound @t1 @t12) @t1))) % 64.27/64.52 (assume @p11 (forall @t13 (= (tptp.greatest_lower_bound @t1 @t14) @t1))) % 64.27/64.52 (assume @p12 (forall @t11 (= (tptp.multiply @t1 @t16) (tptp.least_upper_bound @t10 @t17)))) % 64.27/64.52 (assume @p13 (forall @t11 (= (tptp.multiply @t1 @t15) (tptp.greatest_lower_bound @t10 @t17)))) % 64.27/64.52 (assume @p14 (forall @t20 (= (tptp.multiply @t16 @t1) (tptp.least_upper_bound @t19 @t18)))) % 64.27/64.52 (assume @p15 (forall @t20 (= (tptp.multiply @t15 @t1) (tptp.greatest_lower_bound @t19 @t18)))) % 64.27/64.52 (assume @p16 (= @t21 tptp.identity)) % 64.27/64.52 (assume @p17 @t23) % 64.27/64.52 (assume @p18 (forall @t13 (= (tptp.inverse @t10) (tptp.multiply (tptp.inverse @t9) @t5)))) % 64.27/64.52 (assume @p19 (not @t29)) % 64.27/64.52 (step @p20 :rule symm :premises (@p16)) % 64.27/64.52 (step @p21 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.identity))) % 64.27/64.52 (step @p22 :rule instantiate :premises (@p12) :args ((@list @t26 tptp.a tptp.identity))) % 64.27/64.52 (step @p23 :rule instantiate :premises (@p14) :args ((@list tptp.a tptp.identity @t26))) % 64.27/64.52 (step @p24 :rule eq-symm :args (@t2 @t1)) % 64.27/64.52 (step @p25 :rule cong :premises (@p24) :args (@t4)) % 64.27/64.52 (step @p26 :rule eq_resolve :premises (@p1 @p25)) % 64.27/64.52 (step @p27 :rule instantiate :premises (@p26) :args ((@list @t26))) % 64.27/64.52 (step @p28 :rule instantiate :premises (@p5) :args ((@list @t31 @t30))) % 64.27/64.52 (step @p29 :rule instantiate :premises (@p5) :args ((@list @t33 @t32))) % 64.27/64.52 (step @p30 :rule instantiate :premises (@p18) :args ((@list tptp.identity @t25))) % 64.27/64.52 (step @p31 :rule instantiate :premises (@p26) :args ((@list @t25))) % 64.27/64.52 (step @p32 :rule instantiate :premises (@p26) :args (@t34)) % 64.27/64.52 (step @p33 :rule eq-symm :args (@t6 tptp.identity)) % 64.27/64.52 (step @p34 :rule cong :premises (@p33) :args (@t7)) % 64.27/64.52 (step @p35 :rule eq_resolve :premises (@p2 @p34)) % 64.27/64.52 (step @p36 :rule instantiate :premises (@p35) :args (@t34)) % 64.27/64.52 (step @p37 :rule eq-symm :args (@t22 @t1)) % 64.27/64.52 (step @p38 :rule cong :premises (@p37) :args (@t23)) % 64.27/64.52 (step @p39 :rule eq_resolve :premises (@p17 @p38)) % 64.27/64.52 (step @p40 :rule instantiate :premises (@p39) :args (@t34)) % 64.27/64.52 (step @p41 :rule instantiate :premises (@p18) :args ((@list tptp.identity tptp.a))) % 64.27/64.52 (step @p42 :rule instantiate :premises (@p18) :args ((@list @t35 @t25))) % 64.27/64.52 (step @p43 :rule instantiate :premises (@p18) :args ((@list @t25 @t35))) % 64.27/64.52 (step @p44 :rule instantiate :premises (@p26) :args (@t36)) % 64.27/64.52 (step @p45 :rule instantiate :premises (@p35) :args (@t36)) % 64.27/64.52 (step @p46 :rule instantiate :premises (@p13) :args ((@list @t35 tptp.identity tptp.a))) % 64.27/64.52 (step @p47 :rule instantiate :premises (@p15) :args ((@list tptp.identity tptp.a @t35))) % 64.27/64.52 (assume-push @p124 @t37) % 64.27/64.52 (assume-push @p125 @t39) % 64.27/64.52 (assume-push @p126 @t41) % 64.27/64.52 (assume-push @p127 @t43) % 64.27/64.52 (assume-push @p128 @t44) % 64.27/64.52 (assume-push @p129 @t45) % 64.27/64.52 (assume-push @p130 @t47) % 64.27/64.52 (assume-push @p131 @t50) % 64.27/64.52 (assume-push @p132 @t51) % 64.27/64.52 (assume-push @p133 @t53) % 64.27/64.52 (assume-push @p134 @t55) % 64.27/64.52 (assume-push @p135 @t57) % 64.27/64.52 (assume-push @p136 @t59) % 64.27/64.52 (assume-push @p137 @t61) % 64.27/64.52 (assume-push @p138 @t64) % 64.27/64.52 (assume-push @p139 @t66) % 64.27/64.52 (assume-push @p140 @t67) % 64.27/64.52 (assume-push @p141 @t69) % 64.27/64.52 (assume-push @p142 @t72) % 64.27/64.52 (step @p67 :rule symm :premises (@p22)) % 64.27/64.52 (step @p68 :rule symm :premises (@p28)) % 64.27/64.52 (step @p69 :rule symm :premises (@p40)) % 64.27/64.52 (step @p70 :rule refl :args (@t26)) % 64.27/64.52 (step @p71 :rule cong :premises (@p70 @p69) :args (@t60)) % 64.27/64.52 (step @p72 :rule symm :premises (@p21)) % 64.27/64.52 (step @p73 :rule refl :args (@t35)) % 64.27/64.52 (step @p74 :rule cong :premises (@p73 @p72) :args (@t68)) % 64.27/64.52 (step @p75 :rule symm :premises (@p46)) % 64.27/64.52 (step @p76 :rule cong :premises (@p73 @p16) :args (@t58)) % 64.27/64.52 (step @p77 :rule cong :premises (@p32) :args (@t35)) % 64.27/64.52 (step @p78 :rule trans :premises (@p77 @p41 @p76)) % 64.27/64.52 (step @p79 :rule cong :premises (@p78 @p36) :args ((tptp.greatest_lower_bound @t35 tptp.identity))) % 64.27/64.52 (step @p80 :rule symm :premises (@p45)) % 64.27/64.52 (step @p81 :rule cong :premises (@p40 @p73) :args (@t70)) % 64.27/64.52 (step @p82 :rule trans :premises (@p81 @p80)) % 64.27/64.52 (step @p83 :rule symm :premises (@p44)) % 64.27/64.52 (step @p84 :rule cong :premises (@p83 @p82) :args (@t71)) % 64.27/64.52 (step @p85 :rule cong :premises (@p21 @p73) :args (@t62)) % 64.27/64.52 (step @p86 :rule trans :premises (@p85 @p47 @p84 @p79 @p75 @p74)) % 64.27/64.52 (step @p87 :rule cong :premises (@p86) :args (@t63)) % 64.27/64.52 (step @p88 :rule symm :premises (@p43)) % 64.27/64.52 (step @p89 :rule symm :premises (@p27)) % 64.27/64.52 (step @p90 :rule cong :premises (@p40 @p89) :args ((tptp.multiply tptp.a @t32))) % 64.27/64.52 (step @p91 :rule refl :args (tptp.a)) % 64.27/64.52 (step @p92 :rule cong :premises (@p91 @p27) :args (@t33)) % 64.27/64.52 (step @p93 :rule trans :premises (@p92 @p90 @p88 @p87 @p42 @p71)) % 64.27/64.52 (step @p94 :rule cong :premises (@p70 @p16) :args (@t48)) % 64.27/64.52 (step @p95 :rule cong :premises (@p31) :args (@t26)) % 64.27/64.52 (step @p96 :rule trans :premises (@p89 @p95 @p30 @p94)) % 64.27/64.52 (step @p97 :rule cong :premises (@p96 @p93) :args (@t46)) % 64.27/64.52 (step @p98 :rule trans :premises (@p23 @p29 @p97 @p68 @p67)) % 64.27/64.52 (step-pop @p143 :rule scope :premises (@p98)) % 64.27/64.52 (step-pop @p144 :rule scope :premises (@p143)) % 64.27/64.52 (step-pop @p145 :rule scope :premises (@p144)) % 64.27/64.52 (step-pop @p146 :rule scope :premises (@p145)) % 64.27/64.52 (step-pop @p147 :rule scope :premises (@p146)) % 64.27/64.52 (step-pop @p148 :rule scope :premises (@p147)) % 64.27/64.52 (step-pop @p149 :rule scope :premises (@p148)) % 64.27/64.52 (step-pop @p150 :rule scope :premises (@p149)) % 64.27/64.52 (step-pop @p151 :rule scope :premises (@p150)) % 64.27/64.52 (step-pop @p152 :rule scope :premises (@p151)) % 64.27/64.52 (step-pop @p153 :rule scope :premises (@p152)) % 64.27/64.52 (step-pop @p154 :rule scope :premises (@p153)) % 64.27/64.52 (step-pop @p155 :rule scope :premises (@p154)) % 64.27/64.52 (step-pop @p156 :rule scope :premises (@p155)) % 64.27/64.52 (step-pop @p157 :rule scope :premises (@p156)) % 64.27/64.52 (step-pop @p158 :rule scope :premises (@p157)) % 64.27/64.52 (step-pop @p159 :rule scope :premises (@p158)) % 64.27/64.52 (step-pop @p160 :rule scope :premises (@p159)) % 64.27/64.52 (step-pop @p161 :rule scope :premises (@p160)) % 64.27/64.52 (step @p99 :rule process_scope :premises (@p161) :args (@t29)) % 64.27/64.52 (step @p119 :rule implies_elim :premises (@p99)) % 64.27/64.52 (step @p120 :rule cnf_and_neg :args (@t73)) % 64.27/64.52 (step @p121 :rule resolution :premises (@p120 @p119) :args (true @t73)) % 64.27/64.52 (step @p122 :rule reordering :premises (@p121) :args ((or @t29 (not @t37) (not @t39) (not @t41) (not @t43) (not @t44) (not @t45) (not @t47) (not @t50) (not @t51) (not @t53) (not @t55) (not @t57) (not @t59) (not @t61) (not @t64) (not @t66) (not @t67) (not @t69) (not @t72)))) % 64.27/64.52 (step @p123 false :rule chain_m_resolution :premises (@p122 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p36 @p32 @p31 @p30 @p29 @p28 @p27 @p23 @p22 @p21 @p19 @p20) :args (false (@list false false false false false false false false false false false false false false false false false false true false) (@list @t72 @t69 @t67 @t66 @t64 @t61 @t59 @t57 @t55 @t53 @t51 @t50 @t47 @t45 @t44 @t43 @t41 @t39 @t29 @t37))) % 64.27/64.52 ) % 64.27/64.52 % SZS output end Proof % 64.27/64.52 % cvc5 exiting %------------------------------------------------------------------------------