%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP169-2 : 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 : 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 08:20:04 AM UTC 2026 % Result : Unsatisfiable 158.85s 159.27s % Output : Proof 158.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP169-2 : 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 % 0.16/0.34 % 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 00:54:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----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... % 0.34/16.07 --- Run --no-e-matching --full-saturate-quant at 6... % 21.86/22.09 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.87/28.12 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.96/34.17 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.02/64.64 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.60/79.86 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 113.11/113.30 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 128.31/128.59 --- Run --prenex-quant=none --full-saturate-quant at 30... % 158.71/159.01 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 158.85/159.27 % SZS status Unsatisfiable % 158.85/159.27 % SZS output start Proof % 158.85/159.27 ( % 158.85/159.27 (declare-sort $$unsorted 0) % 158.85/159.27 (declare-const tptp.b $$unsorted) % 158.85/159.27 (declare-const tptp.a $$unsorted) % 158.85/159.27 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 158.85/159.27 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 158.85/159.27 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 158.85/159.27 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 158.85/159.27 (declare-const tptp.identity $$unsorted) % 158.85/159.27 (define @t1 () (@var "X" $$unsorted)) % 158.85/159.27 (define @t2 () (tptp.multiply tptp.identity @t1)) % 158.85/159.27 (define @t3 () (@list @t1)) % 158.85/159.27 (define @t4 () (forall @t3 (= @t2 @t1))) % 158.85/159.27 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 158.85/159.27 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 158.85/159.27 (define @t7 () (@var "Z" $$unsorted)) % 158.85/159.27 (define @t8 () (@var "Y" $$unsorted)) % 158.85/159.27 (define @t9 () (tptp.multiply @t1 @t8)) % 158.85/159.27 (define @t10 () (@list @t1 @t8 @t7)) % 158.85/159.27 (define @t11 () (tptp.greatest_lower_bound @t1 @t8)) % 158.85/159.27 (define @t12 () (@list @t1 @t8)) % 158.85/159.27 (define @t13 () (tptp.least_upper_bound @t1 @t8)) % 158.85/159.27 (define @t14 () (tptp.greatest_lower_bound @t8 @t7)) % 158.85/159.27 (define @t15 () (tptp.least_upper_bound @t8 @t7)) % 158.85/159.27 (define @t16 () (tptp.least_upper_bound @t1 @t11)) % 158.85/159.27 (define @t17 () (forall @t12 (= @t16 @t1))) % 158.85/159.27 (define @t18 () (tptp.greatest_lower_bound @t1 @t13)) % 158.85/159.27 (define @t19 () (forall @t12 (= @t18 @t1))) % 158.85/159.27 (define @t20 () (tptp.multiply @t1 @t7)) % 158.85/159.27 (define @t21 () (tptp.multiply @t7 @t1)) % 158.85/159.27 (define @t22 () (tptp.multiply @t8 @t1)) % 158.85/159.27 (define @t23 () (@list @t8 @t7 @t1)) % 158.85/159.27 (define @t24 () (tptp.inverse tptp.a)) % 158.85/159.27 (define @t25 () (tptp.inverse tptp.b)) % 158.85/159.27 (define @t26 () (tptp.greatest_lower_bound @t24 @t25)) % 158.85/159.27 (define @t27 () (tptp.greatest_lower_bound tptp.a tptp.b)) % 158.85/159.27 (define @t28 () (@list tptp.a)) % 158.85/159.27 (define @t29 () (@list tptp.b)) % 158.85/159.27 (define @t30 () (@list tptp.a tptp.b)) % 158.85/159.27 (define @t31 () (tptp.inverse @t24)) % 158.85/159.27 (define @t32 () (@list @t24 tptp.a tptp.b)) % 158.85/159.27 (define @t33 () (tptp.least_upper_bound tptp.a tptp.b)) % 158.85/159.27 (define @t34 () (= @t24 @t26)) % 158.85/159.27 (define @t35 () (tptp.multiply @t24 tptp.a)) % 158.85/159.27 (define @t36 () (= tptp.identity @t35)) % 158.85/159.27 (define @t37 () (tptp.multiply @t25 tptp.b)) % 158.85/159.27 (define @t38 () (= tptp.identity @t37)) % 158.85/159.27 (define @t39 () (= @t27 (tptp.greatest_lower_bound tptp.b tptp.a))) % 158.85/159.27 (define @t40 () (tptp.greatest_lower_bound @t25 @t24)) % 158.85/159.27 (define @t41 () (= @t26 @t40)) % 158.85/159.27 (define @t42 () (tptp.least_upper_bound tptp.a @t27)) % 158.85/159.27 (define @t43 () (= tptp.a @t42)) % 158.85/159.27 (define @t44 () (tptp.multiply @t24 @t27)) % 158.85/159.27 (define @t45 () (tptp.least_upper_bound @t35 @t44)) % 158.85/159.27 (define @t46 () (tptp.multiply @t24 @t42)) % 158.85/159.27 (define @t47 () (= @t46 @t45)) % 158.85/159.27 (define @t48 () (tptp.multiply tptp.identity tptp.a)) % 158.85/159.27 (define @t49 () (= tptp.a @t48)) % 158.85/159.27 (define @t50 () (tptp.multiply @t31 @t24)) % 158.85/159.27 (define @t51 () (= tptp.identity @t50)) % 158.85/159.27 (define @t52 () (tptp.multiply @t50 tptp.a)) % 158.85/159.27 (define @t53 () (= @t52 (tptp.multiply @t31 @t35))) % 158.85/159.27 (define @t54 () (tptp.multiply @t24 tptp.b)) % 158.85/159.27 (define @t55 () (= @t44 (tptp.greatest_lower_bound @t35 @t54))) % 158.85/159.27 (define @t56 () (tptp.multiply tptp.identity tptp.b)) % 158.85/159.27 (define @t57 () (= tptp.b @t56)) % 158.85/159.27 (define @t58 () (tptp.least_upper_bound tptp.b tptp.a)) % 158.85/159.27 (define @t59 () (= @t33 @t58)) % 158.85/159.27 (define @t60 () (tptp.greatest_lower_bound @t37 @t54)) % 158.85/159.27 (define @t61 () (= (tptp.multiply @t40 tptp.b) @t60)) % 158.85/159.27 (define @t62 () (tptp.greatest_lower_bound tptp.b @t58)) % 158.85/159.27 (define @t63 () (= tptp.b @t62)) % 158.85/159.27 (define @t64 () (tptp.least_upper_bound @t35 @t54)) % 158.85/159.27 (define @t65 () (tptp.multiply @t24 @t33)) % 158.85/159.27 (define @t66 () (= @t65 @t64)) % 158.85/159.27 (define @t67 () (tptp.multiply tptp.identity @t33)) % 158.85/159.27 (define @t68 () (= @t67 (tptp.least_upper_bound @t48 @t56))) % 158.85/159.27 (define @t69 () (tptp.multiply @t31 @t65)) % 158.85/159.27 (define @t70 () (= (tptp.multiply @t50 @t33) @t69)) % 158.85/159.27 (define @t71 () (= tptp.b @t27)) % 158.85/159.27 (define @t72 () (and @t34 @t36 @t38 @t39 @t41 @t43 @t47 @t49 @t51 @t53 @t55 @t57 @t59 @t61 @t63 @t66 @t68 @t70)) % 158.85/159.27 (assume @p1 @t4) % 158.85/159.27 (assume @p2 @t6) % 158.85/159.27 (assume @p3 (forall @t10 (= (tptp.multiply @t9 @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 158.85/159.27 (assume @p4 (forall @t12 (= @t11 (tptp.greatest_lower_bound @t8 @t1)))) % 158.85/159.27 (assume @p5 (forall @t12 (= @t13 (tptp.least_upper_bound @t8 @t1)))) % 158.85/159.27 (assume @p6 (forall @t10 (= (tptp.greatest_lower_bound @t1 @t14) (tptp.greatest_lower_bound @t11 @t7)))) % 158.85/159.27 (assume @p7 (forall @t10 (= (tptp.least_upper_bound @t1 @t15) (tptp.least_upper_bound @t13 @t7)))) % 158.85/159.27 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 158.85/159.27 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 158.85/159.27 (assume @p10 @t17) % 158.85/159.27 (assume @p11 @t19) % 158.85/159.27 (assume @p12 (forall @t10 (= (tptp.multiply @t1 @t15) (tptp.least_upper_bound @t9 @t20)))) % 158.85/159.27 (assume @p13 (forall @t10 (= (tptp.multiply @t1 @t14) (tptp.greatest_lower_bound @t9 @t20)))) % 158.85/159.27 (assume @p14 (forall @t23 (= (tptp.multiply @t15 @t1) (tptp.least_upper_bound @t22 @t21)))) % 158.85/159.27 (assume @p15 (forall @t23 (= (tptp.multiply @t14 @t1) (tptp.greatest_lower_bound @t22 @t21)))) % 158.85/159.27 (assume @p16 (= @t26 @t24)) % 158.85/159.27 (assume @p17 (not (= @t27 tptp.b))) % 158.85/159.27 (step @p18 :rule symm :premises (@p16)) % 158.85/159.27 (step @p19 :rule symm :premises (@p17)) % 158.85/159.27 (step @p20 :rule eq-symm :args (@t5 tptp.identity)) % 158.85/159.27 (step @p21 :rule cong :premises (@p20) :args (@t6)) % 158.85/159.27 (step @p22 :rule eq_resolve :premises (@p2 @p21)) % 158.85/159.27 (step @p23 :rule instantiate :premises (@p22) :args (@t28)) % 158.85/159.27 (step @p24 :rule instantiate :premises (@p22) :args (@t29)) % 158.85/159.27 (step @p25 :rule instantiate :premises (@p4) :args (@t30)) % 158.85/159.27 (step @p26 :rule instantiate :premises (@p4) :args ((@list @t24 @t25))) % 158.85/159.27 (step @p27 :rule eq-symm :args (@t16 @t1)) % 158.85/159.27 (step @p28 :rule cong :premises (@p27) :args (@t17)) % 158.85/159.27 (step @p29 :rule eq_resolve :premises (@p10 @p28)) % 158.85/159.27 (step @p30 :rule instantiate :premises (@p29) :args (@t30)) % 158.85/159.27 (step @p31 :rule instantiate :premises (@p12) :args ((@list @t24 tptp.a @t27))) % 158.85/159.27 (step @p32 :rule eq-symm :args (@t2 @t1)) % 158.85/159.27 (step @p33 :rule cong :premises (@p32) :args (@t4)) % 158.85/159.27 (step @p34 :rule eq_resolve :premises (@p1 @p33)) % 158.85/159.27 (step @p35 :rule instantiate :premises (@p34) :args (@t28)) % 158.85/159.27 (step @p36 :rule instantiate :premises (@p22) :args ((@list @t24))) % 158.85/159.27 (step @p37 :rule instantiate :premises (@p3) :args ((@list @t31 @t24 tptp.a))) % 158.85/159.27 (step @p38 :rule instantiate :premises (@p13) :args (@t32)) % 158.85/159.27 (step @p39 :rule instantiate :premises (@p34) :args (@t29)) % 158.85/159.27 (step @p40 :rule instantiate :premises (@p5) :args (@t30)) % 158.85/159.27 (step @p41 :rule instantiate :premises (@p15) :args ((@list @t25 @t24 tptp.b))) % 158.85/159.27 (step @p42 :rule eq-symm :args (@t18 @t1)) % 158.85/159.27 (step @p43 :rule cong :premises (@p42) :args (@t19)) % 158.85/159.27 (step @p44 :rule eq_resolve :premises (@p11 @p43)) % 158.85/159.27 (step @p45 :rule instantiate :premises (@p44) :args ((@list tptp.b tptp.a))) % 158.85/159.27 (step @p46 :rule instantiate :premises (@p12) :args (@t32)) % 158.85/159.27 (step @p47 :rule instantiate :premises (@p12) :args ((@list tptp.identity tptp.a tptp.b))) % 158.85/159.27 (step @p48 :rule instantiate :premises (@p3) :args ((@list @t31 @t24 @t33))) % 158.85/159.27 (assume-push @p129 @t34) % 158.85/159.27 (assume-push @p130 @t36) % 158.85/159.27 (assume-push @p131 @t38) % 158.85/159.27 (assume-push @p132 @t39) % 158.85/159.27 (assume-push @p133 @t41) % 158.85/159.27 (assume-push @p134 @t43) % 158.85/159.27 (assume-push @p135 @t47) % 158.85/159.27 (assume-push @p136 @t49) % 158.85/159.27 (assume-push @p137 @t51) % 158.85/159.27 (assume-push @p138 @t53) % 158.85/159.27 (assume-push @p139 @t55) % 158.85/159.27 (assume-push @p140 @t57) % 158.85/159.27 (assume-push @p141 @t59) % 158.85/159.27 (assume-push @p142 @t61) % 158.85/159.27 (assume-push @p143 @t63) % 158.85/159.27 (assume-push @p144 @t66) % 158.85/159.27 (assume-push @p145 @t68) % 158.85/159.27 (assume-push @p146 @t70) % 158.85/159.27 (step @p67 :rule symm :premises (@p25)) % 158.85/159.27 (step @p68 :rule symm :premises (@p35)) % 158.85/159.27 (step @p69 :rule refl :args (tptp.a)) % 158.85/159.27 (step @p70 :rule symm :premises (@p36)) % 158.85/159.27 (step @p71 :rule cong :premises (@p70 @p69) :args (@t52)) % 158.85/159.27 (step @p72 :rule symm :premises (@p37)) % 158.85/159.27 (step @p73 :rule symm :premises (@p30)) % 158.85/159.27 (step @p74 :rule refl :args (@t24)) % 158.85/159.27 (step @p75 :rule cong :premises (@p74 @p73) :args (@t46)) % 158.85/159.27 (step @p76 :rule symm :premises (@p31)) % 158.85/159.27 (step @p77 :rule refl :args (@t44)) % 158.85/159.27 (step @p78 :rule symm :premises (@p23)) % 158.85/159.27 (step @p79 :rule trans :premises (@p76 @p75 @p78)) % 158.85/159.27 (step @p80 :rule trans :premises (@p79 @p23)) % 158.85/159.27 (step @p81 :rule cong :premises (@p80 @p77) :args ((tptp.least_upper_bound @t45 @t44))) % 158.85/159.27 (step @p82 :rule symm :premises (@p38)) % 158.85/159.27 (step @p83 :rule refl :args (@t54)) % 158.85/159.27 (step @p84 :rule symm :premises (@p24)) % 158.85/159.27 (step @p85 :rule trans :premises (@p84 @p23)) % 158.85/159.27 (step @p86 :rule cong :premises (@p85 @p83) :args (@t60)) % 158.85/159.27 (step @p87 :rule refl :args (tptp.b)) % 158.85/159.27 (step @p88 :rule trans :premises (@p18 @p26)) % 158.85/159.27 (step @p89 :rule cong :premises (@p88 @p87) :args (@t54)) % 158.85/159.27 (step @p90 :rule trans :premises (@p89 @p41 @p86 @p82)) % 158.85/159.27 (step @p91 :rule symm :premises (@p80)) % 158.85/159.27 (step @p92 :rule cong :premises (@p91 @p90) :args (@t64)) % 158.85/159.27 (step @p93 :rule trans :premises (@p46 @p92 @p81 @p76 @p75)) % 158.85/159.27 (step @p94 :rule refl :args (@t31)) % 158.85/159.27 (step @p95 :rule cong :premises (@p94 @p93) :args (@t69)) % 158.85/159.27 (step @p96 :rule refl :args (@t33)) % 158.85/159.27 (step @p97 :rule cong :premises (@p36 @p96) :args (@t67)) % 158.85/159.27 (step @p98 :rule symm :premises (@p47)) % 158.85/159.27 (step @p99 :rule cong :premises (@p35 @p39) :args (@t33)) % 158.85/159.27 (step @p100 :rule trans :premises (@p99 @p98 @p97 @p48 @p95 @p72 @p71 @p68)) % 158.85/159.27 (step @p101 :rule cong :premises (@p87 @p100) :args ((tptp.greatest_lower_bound tptp.b @t33))) % 158.85/159.27 (step @p102 :rule symm :premises (@p40)) % 158.85/159.27 (step @p103 :rule cong :premises (@p87 @p102) :args (@t62)) % 158.85/159.27 (step @p104 :rule trans :premises (@p45 @p103 @p101 @p67)) % 158.85/159.27 (step-pop @p147 :rule scope :premises (@p104)) % 158.85/159.27 (step-pop @p148 :rule scope :premises (@p147)) % 158.85/159.27 (step-pop @p149 :rule scope :premises (@p148)) % 158.85/159.27 (step-pop @p150 :rule scope :premises (@p149)) % 158.85/159.27 (step-pop @p151 :rule scope :premises (@p150)) % 158.85/159.27 (step-pop @p152 :rule scope :premises (@p151)) % 158.85/159.27 (step-pop @p153 :rule scope :premises (@p152)) % 158.85/159.27 (step-pop @p154 :rule scope :premises (@p153)) % 158.85/159.27 (step-pop @p155 :rule scope :premises (@p154)) % 158.85/159.27 (step-pop @p156 :rule scope :premises (@p155)) % 158.85/159.27 (step-pop @p157 :rule scope :premises (@p156)) % 158.85/159.27 (step-pop @p158 :rule scope :premises (@p157)) % 158.85/159.27 (step-pop @p159 :rule scope :premises (@p158)) % 158.85/159.27 (step-pop @p160 :rule scope :premises (@p159)) % 158.85/159.27 (step-pop @p161 :rule scope :premises (@p160)) % 158.85/159.27 (step-pop @p162 :rule scope :premises (@p161)) % 158.85/159.27 (step-pop @p163 :rule scope :premises (@p162)) % 158.85/159.27 (step-pop @p164 :rule scope :premises (@p163)) % 158.85/159.27 (step @p105 :rule process_scope :premises (@p164) :args (@t71)) % 158.85/159.27 (step @p124 :rule implies_elim :premises (@p105)) % 158.85/159.27 (step @p125 :rule cnf_and_neg :args (@t72)) % 158.85/159.27 (step @p126 :rule resolution :premises (@p125 @p124) :args (true @t72)) % 158.85/159.27 (step @p127 :rule reordering :premises (@p126) :args ((or @t71 (not @t34) (not @t36) (not @t38) (not @t39) (not @t41) (not @t43) (not @t47) (not @t49) (not @t51) (not @t53) (not @t55) (not @t57) (not @t59) (not @t61) (not @t63) (not @t66) (not @t68) (not @t70)))) % 158.85/159.27 (step @p128 false :rule chain_m_resolution :premises (@p127 @p48 @p47 @p46 @p45 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p31 @p30 @p26 @p25 @p24 @p23 @p19 @p18) :args (false (@list false false false false false false false false false false false false false false false false false true false) (@list @t70 @t68 @t66 @t63 @t61 @t59 @t57 @t55 @t53 @t51 @t49 @t47 @t43 @t41 @t39 @t38 @t36 @t71 @t34))) % 158.85/159.27 ) % 158.85/159.28 % SZS output end Proof % 158.85/159.28 % cvc5 exiting %------------------------------------------------------------------------------