%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT004_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:14:20 AM UTC 2026 % Result : Theorem 0.17s 0.36s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : DAT004_1 : TPTP v9.2.1. Released v5.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Mon Jun 1 22:25:03 EDT 2026 % 0.08/0.25 % CPUTime : % 0.17/0.33 %----Proving TF0_ARI % 0.17/0.36 --- Run --finite-model-find --decision=internal at 45... % 0.17/0.36 % SZS status Theorem % 0.17/0.36 % SZS output start Proof % 0.17/0.36 ( % 0.17/0.36 (declare-sort tptp.array 0) % 0.17/0.36 (declare-const tptp.read (-> tptp.array Int Int)) % 0.17/0.36 (declare-const tptp.write (-> tptp.array Int Int tptp.array)) % 0.17/0.36 (define @t1 () (@var "W" Int)) % 0.17/0.36 (define @t2 () (@var "V" Int)) % 0.17/0.36 (define @t3 () (@var "U" tptp.array)) % 0.17/0.36 (define @t4 () (tptp.read (tptp.write @t3 @t2 @t1) @t2)) % 0.17/0.36 (define @t5 () (= @t4 @t1)) % 0.17/0.36 (define @t6 () (@list @t3 @t2 @t1)) % 0.17/0.36 (define @t7 () (forall @t6 @t5)) % 0.17/0.36 (define @t8 () (@var "Z" Int)) % 0.17/0.36 (define @t9 () (@var "X" tptp.array)) % 0.17/0.36 (define @t10 () (@var "X1" Int)) % 0.17/0.36 (define @t11 () (@var "Y" Int)) % 0.17/0.36 (define @t12 () (forall (@list @t9 @t11 @t8 @t10) (or (= @t11 @t8) (= (tptp.read (tptp.write @t9 @t11 @t10) @t8) (tptp.read @t9 @t8))))) % 0.17/0.36 (define @t13 () (tptp.read @t3 4)) % 0.17/0.36 (define @t14 () (= @t13 66)) % 0.17/0.36 (define @t15 () (= @t13 44)) % 0.17/0.36 (define @t16 () (or @t15 @t14)) % 0.17/0.36 (define @t17 () (@var "V" tptp.array)) % 0.17/0.36 (define @t18 () (tptp.write (tptp.write (tptp.write (tptp.write @t17 3 33) 4 44) 5 55) @t1 66)) % 0.17/0.36 (define @t19 () (= @t3 @t18)) % 0.17/0.36 (define @t20 () (@list @t3 @t17 @t1)) % 0.17/0.36 (define @t21 () (forall @t20 (=> @t19 @t16))) % 0.17/0.36 (define @t22 () (not @t21)) % 0.17/0.36 (define @t23 () (tptp.read @t18 4)) % 0.17/0.36 (define @t24 () (= @t23 66)) % 0.17/0.36 (define @t25 () (= @t23 44)) % 0.17/0.36 (define @t26 () (or @t25 @t24)) % 0.17/0.36 (define @t27 () (not (= @t18 @t18))) % 0.17/0.36 (define @t28 () (or @t27 @t25 @t24)) % 0.17/0.36 (define @t29 () (@list @t17 @t1)) % 0.17/0.36 (define @t30 () (not @t19)) % 0.17/0.36 (define @t31 () (or @t30 @t30 @t15 @t14)) % 0.17/0.36 (define @t32 () (@list @t3)) % 0.17/0.36 (define @t33 () (or @t30 @t15 @t14)) % 0.17/0.36 (define @t34 () (forall @t32 @t33)) % 0.17/0.36 (define @t35 () (forall @t29 @t34)) % 0.17/0.36 (define @t36 () (forall (@list @t17 @t1 @t3) @t33)) % 0.17/0.36 (define @t37 () (forall @t29 @t26)) % 0.17/0.36 (define @t38 () (@quantifiers_skolemize @t37 1)) % 0.17/0.36 (define @t39 () (tptp.write (@quantifiers_skolemize @t37 0) 3 33)) % 0.17/0.36 (define @t40 () (tptp.write @t39 4 44)) % 0.17/0.36 (define @t41 () (tptp.write @t40 5 55)) % 0.17/0.36 (define @t42 () (tptp.write @t41 @t38 66)) % 0.17/0.36 (define @t43 () (tptp.read @t42 4)) % 0.17/0.36 (define @t44 () (= @t43 66)) % 0.17/0.36 (define @t45 () (= @t43 44)) % 0.17/0.36 (define @t46 () (or @t45 @t44)) % 0.17/0.36 (define @t47 () (not @t44)) % 0.17/0.36 (define @t48 () (@list true)) % 0.17/0.36 (define @t49 () (@list @t46)) % 0.17/0.36 (define @t50 () (= @t1 @t4)) % 0.17/0.36 (define @t51 () (tptp.read @t40 4)) % 0.17/0.36 (define @t52 () (= @t51 44)) % 0.17/0.36 (define @t53 () (= 44 @t51)) % 0.17/0.36 (define @t54 () (forall @t6 @t50)) % 0.17/0.36 (define @t55 () (@list false)) % 0.17/0.36 (define @t56 () (@list @t54)) % 0.17/0.36 (define @t57 () (tptp.read @t41 4)) % 0.17/0.36 (define @t58 () (= @t51 @t57)) % 0.17/0.36 (define @t59 () (= @t57 @t51)) % 0.17/0.36 (define @t60 () (= 5 4)) % 0.17/0.36 (define @t61 () (or @t60 @t59)) % 0.17/0.36 (define @t62 () (= @t43 @t57)) % 0.17/0.36 (define @t63 () (= @t38 4)) % 0.17/0.36 (define @t64 () (or @t63 @t62)) % 0.17/0.36 (define @t65 () (tptp.read (tptp.write @t41 4 66) 4)) % 0.17/0.36 (define @t66 () (= @t65 66)) % 0.17/0.36 (define @t67 () (= 66 @t65)) % 0.17/0.36 (define @t68 () (not @t66)) % 0.17/0.36 (define @t69 () (not @t63)) % 0.17/0.36 (define @t70 () (and @t47 @t63)) % 0.17/0.36 (assume @p1 @t7) % 0.17/0.36 (assume @p2 @t12) % 0.17/0.36 (assume @p3 @t22) % 0.17/0.36 (assume @p4 true) % 0.17/0.36 (step @p5 :rule aci_norm :args ((= (or false @t25 @t24) @t26))) % 0.17/0.36 (step @p6 :rule refl :args (@t24)) % 0.17/0.36 (step @p7 :rule refl :args (@t25)) % 0.17/0.36 (step @p8 :rule evaluate :args ((not true))) % 0.17/0.36 (step @p9 :rule eq-refl :args (@t18)) % 0.17/0.36 (step @p10 :rule cong :premises (@p9) :args (@t27)) % 0.17/0.36 (step @p11 :rule trans :premises (@p10 @p8)) % 0.17/0.36 (step @p12 :rule nary_cong :premises (@p11 @p7 @p6) :args (@t28)) % 0.17/0.36 (step @p13 :rule trans :premises (@p12 @p5)) % 0.17/0.36 (step @p14 :rule cong :premises (@p13) :args ((forall @t29 @t28))) % 0.17/0.36 (step @p15 :rule quant-var-elim-eq :args ((= (forall @t32 @t31) @t28))) % 0.17/0.36 (step @p16 :rule aci_norm :args ((= @t33 @t31))) % 0.17/0.36 (step @p17 :rule cong :premises (@p16) :args (@t34)) % 0.17/0.36 (step @p18 :rule trans :premises (@p17 @p15)) % 0.17/0.36 (step @p19 :rule cong :premises (@p18) :args (@t35)) % 0.17/0.36 (step @p20 :rule quant-merge-prenex :args ((= @t35 @t36))) % 0.17/0.36 (step @p21 :rule symm :premises (@p20)) % 0.17/0.36 (step @p22 :rule quant_var_reordering :args ((= (forall @t20 @t33) @t36))) % 0.17/0.36 (step @p23 :rule trans :premises (@p22 @p21 @p19)) % 0.17/0.36 (step @p24 :rule trans :premises (@p23 @p14)) % 0.17/0.36 (step @p25 :rule aci_norm :args ((= (or @t30 @t16) @t33))) % 0.17/0.36 (step @p26 :rule bool-impl-elim :args (@t19 @t16)) % 0.17/0.36 (step @p27 :rule trans :premises (@p26 @p25)) % 0.17/0.36 (step @p28 :rule cong :premises (@p27) :args (@t21)) % 0.17/0.36 (step @p29 :rule trans :premises (@p28 @p24)) % 0.17/0.36 (step @p30 :rule cong :premises (@p29) :args (@t22)) % 0.17/0.36 (step @p31 :rule eq_resolve :premises (@p3 @p30)) % 0.17/0.36 (step @p32 :rule skolemize :premises (@p31)) % 0.17/0.36 (step @p33 :rule cnf_or_neg :args (@t46 1)) % 0.17/0.36 (step @p34 :rule chain_m_resolution :premises (@p33 @p32) :args (@t47 @t48 @t49)) % 0.17/0.36 (step @p35 :rule instantiate :premises (@p2) :args ((@list @t41 @t38 4 66))) % 0.17/0.36 (step @p36 :rule cnf_or_neg :args (@t46 0)) % 0.17/0.36 (step @p37 :rule chain_m_resolution :premises (@p36 @p32) :args ((not @t45) @t48 @t49)) % 0.17/0.36 (step @p38 :rule false_intro :premises (@p37)) % 0.17/0.36 (step @p39 :rule arith_poly_norm :args ((= (* 1 (- @t4 @t1)) (* -1 (- @t1 @t4))))) % 0.17/0.36 (step @p40 :rule arith_poly_norm_rel :premises (@p39) :args ((= @t5 @t50))) % 0.17/0.36 (step @p41 :rule cong :premises (@p40) :args (@t7)) % 0.17/0.36 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.17/0.36 (step @p43 :rule arith_poly_norm :args ((= (* -44 (- 44 @t51)) (* 44 (- @t51 44))))) % 0.17/0.36 (step @p44 :rule arith_poly_norm_rel :premises (@p43) :args ((= @t53 @t52))) % 0.17/0.36 (step @p45 :rule refl :args (@t54)) % 0.17/0.36 (step @p46 :rule cong :premises (@p45 @p44) :args ((=> @t54 @t53))) % 0.17/0.36 (assume-push @p120 @t54) % 0.17/0.36 (step @p48 :rule instantiate :premises (@p42) :args ((@list @t39 4 44))) % 0.17/0.36 (step-pop @p121 :rule scope :premises (@p48)) % 0.17/0.36 (step @p49 :rule process_scope :premises (@p121) :args (@t53)) % 0.17/0.36 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 0.17/0.36 (step @p52 :rule implies_elim :premises (@p51)) % 0.17/0.36 (step @p53 :rule chain_m_resolution :premises (@p52 @p42) :args (@t52 @t55 @t56)) % 0.17/0.36 (step @p54 :rule aci_norm :args ((= (or false @t58) @t58))) % 0.17/0.36 (step @p55 :rule arith_poly_norm :args ((= (* 1 (- @t57 @t51)) (* -1 (- @t51 @t57))))) % 0.17/0.36 (step @p56 :rule arith_poly_norm_rel :premises (@p55) :args ((= @t59 @t58))) % 0.17/0.36 (step @p57 :rule evaluate :args (@t60)) % 0.17/0.36 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t61)) % 0.17/0.36 (step @p59 :rule trans :premises (@p58 @p54)) % 0.17/0.36 (step @p60 :rule refl :args (@t12)) % 0.17/0.36 (step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t12 @t61))) % 0.17/0.36 (assume-push @p122 @t12) % 0.17/0.36 (step @p63 :rule instantiate :premises (@p2) :args ((@list @t40 5 4 55))) % 0.17/0.36 (step-pop @p123 :rule scope :premises (@p63)) % 0.17/0.36 (step @p64 :rule process_scope :premises (@p123) :args (@t61)) % 0.17/0.36 (step @p66 :rule eq_resolve :premises (@p64 @p61)) % 0.17/0.36 (step @p67 :rule implies_elim :premises (@p66)) % 0.17/0.36 (step @p68 :rule chain_m_resolution :premises (@p67 @p2) :args (@t58 @t55 (@list @t12))) % 0.17/0.36 (step @p69 :rule symm :premises (@p68)) % 0.17/0.36 (step @p70 :rule trans :premises (@p69 @p53)) % 0.17/0.36 (step @p71 :rule refl :args (@t43)) % 0.17/0.36 (step @p72 :rule cong :premises (@p71 @p70) :args (@t62)) % 0.17/0.36 (step @p73 :rule trans :premises (@p72 @p38)) % 0.17/0.36 (step @p74 :rule false_elim :premises (@p73)) % 0.17/0.36 (step @p75 :rule cnf_or_pos :args (@t64)) % 0.17/0.36 (step @p76 :rule reordering :premises (@p75) :args ((or @t63 @t62 (not @t64)))) % 0.17/0.36 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p35) :args (@t63 (@list true false) (@list @t62 @t64))) % 0.17/0.36 (step @p78 :rule arith_poly_norm :args ((= (* -66 (- 66 @t65)) (* 66 (- @t65 66))))) % 0.17/0.36 (step @p79 :rule arith_poly_norm_rel :premises (@p78) :args ((= @t67 @t66))) % 0.17/0.36 (step @p80 :rule cong :premises (@p45 @p79) :args ((=> @t54 @t67))) % 0.17/0.36 (assume-push @p124 @t54) % 0.17/0.36 (step @p82 :rule instantiate :premises (@p42) :args ((@list @t41 4 66))) % 0.17/0.36 (step-pop @p125 :rule scope :premises (@p82)) % 0.17/0.36 (step @p83 :rule process_scope :premises (@p125) :args (@t67)) % 0.17/0.36 (step @p85 :rule eq_resolve :premises (@p83 @p80)) % 0.17/0.36 (step @p86 :rule implies_elim :premises (@p85)) % 0.17/0.36 (step @p87 :rule chain_m_resolution :premises (@p86 @p42) :args (@t66 @t55 @t56)) % 0.17/0.36 (step @p88 :rule refl :args (@t68)) % 0.17/0.36 (step @p89 :rule refl :args (@t69)) % 0.17/0.36 (step @p90 :rule bool-double-not-elim :args (@t44)) % 0.17/0.36 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args ((or (not @t47) @t69 @t68))) % 0.17/0.36 (assume-push @p126 @t47) % 0.17/0.36 (assume-push @p127 @t63) % 0.17/0.36 (assume-push @p128 @t47) % 0.17/0.36 (assume-push @p129 (= @t43 @t65)) % 0.17/0.36 (step @p96 :rule false_intro :premises (@p34)) % 0.17/0.36 (step @p97 :rule refl :args (66)) % 0.17/0.36 (step @p98 :rule refl :args (4)) % 0.17/0.36 (step @p99 :rule refl :args (@t41)) % 0.17/0.36 (step @p100 :rule cong :premises (@p99 @p77 @p97) :args (@t42)) % 0.17/0.36 (step @p101 :rule cong :premises (@p100 @p98) :args (@t43)) % 0.17/0.37 (step @p102 :rule symm :premises (@p101)) % 0.17/0.37 (step @p103 :rule cong :premises (@p102 @p97) :args (@t66)) % 0.17/0.37 (step @p104 :rule trans :premises (@p103 @p96)) % 0.17/0.37 (step @p105 :rule false_elim :premises (@p104)) % 0.17/0.37 (step-pop @p130 :rule scope :premises (@p105)) % 0.17/0.37 (step-pop @p131 :rule scope :premises (@p130)) % 0.17/0.37 (step @p106 :rule process_scope :premises (@p131) :args (@t68)) % 0.17/0.37 (step @p98 :rule refl :args (4)) % 0.17/0.37 (step @p97 :rule refl :args (66)) % 0.17/0.37 (step @p99 :rule refl :args (@t41)) % 0.17/0.37 (step @p100 :rule cong :premises (@p99 @p77 @p97) :args (@t42)) % 0.17/0.37 (step @p109 :rule cong :premises (@p100 @p98) :args (@t43)) % 0.17/0.37 (step @p110 :rule and_intro :premises (@p34 @p109)) % 0.17/0.37 (step @p111 :rule modus_ponens :premises (@p110 @p106)) % 0.17/0.37 (step-pop @p132 :rule scope :premises (@p111)) % 0.17/0.37 (step-pop @p133 :rule scope :premises (@p132)) % 0.17/0.37 (step @p112 :rule process_scope :premises (@p133) :args (@t68)) % 0.17/0.37 (step @p115 :rule implies_elim :premises (@p112)) % 0.17/0.37 (step @p116 :rule cnf_and_neg :args (@t70)) % 0.17/0.37 (step @p117 :rule resolution :premises (@p116 @p115) :args (true @t70)) % 0.17/0.37 (step @p118 :rule eq_resolve :premises (@p117 @p91)) % 0.17/0.37 (step @p119 false :rule chain_m_resolution :premises (@p118 @p87 @p77 @p34) :args (false (@list false false true) (@list @t66 @t63 @t44))) % 0.17/0.37 ) % 0.17/0.37 % SZS output end Proof % 0.17/0.37 % cvc5 exiting %------------------------------------------------------------------------------