%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT006_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 : n018.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 0.39s 0.62s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT006_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 22:25:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_ARI % 0.39/0.62 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.39/0.62 % SZS status Theorem % 0.39/0.62 % SZS output start Proof % 0.39/0.62 ( % 0.39/0.62 (declare-sort tptp.array 0) % 0.39/0.62 (declare-const tptp.read (-> tptp.array Int Int)) % 0.39/0.62 (declare-const tptp.write (-> tptp.array Int Int tptp.array)) % 0.39/0.62 (define @t1 () (@var "W" Int)) % 0.39/0.62 (define @t2 () (@var "V" Int)) % 0.39/0.62 (define @t3 () (@var "U" tptp.array)) % 0.39/0.62 (define @t4 () (tptp.read (tptp.write @t3 @t2 @t1) @t2)) % 0.39/0.62 (define @t5 () (= @t4 @t1)) % 0.39/0.62 (define @t6 () (@list @t3 @t2 @t1)) % 0.39/0.62 (define @t7 () (forall @t6 @t5)) % 0.39/0.62 (define @t8 () (@var "Z" Int)) % 0.39/0.62 (define @t9 () (@var "X" tptp.array)) % 0.39/0.62 (define @t10 () (@var "X1" Int)) % 0.39/0.62 (define @t11 () (@var "Y" Int)) % 0.39/0.62 (define @t12 () (forall (@list @t9 @t11 @t8 @t10) (or (= @t11 @t8) (= (tptp.read (tptp.write @t9 @t11 @t10) @t8) (tptp.read @t9 @t8))))) % 0.39/0.62 (define @t13 () (= (tptp.read @t3 @t1) 33)) % 0.39/0.62 (define @t14 () (@list @t1)) % 0.39/0.62 (define @t15 () (exists @t14 @t13)) % 0.39/0.62 (define @t16 () (@var "V" tptp.array)) % 0.39/0.62 (define @t17 () (tptp.write (tptp.write (tptp.write (tptp.write @t16 3 33) 4 444) 5 55) 4 44)) % 0.39/0.62 (define @t18 () (= @t3 @t17)) % 0.39/0.62 (define @t19 () (=> @t18 @t15)) % 0.39/0.62 (define @t20 () (@list @t3 @t16)) % 0.39/0.62 (define @t21 () (forall @t20 @t19)) % 0.39/0.62 (define @t22 () (not @t21)) % 0.39/0.62 (define @t23 () (not (forall @t14 (not (= (tptp.read @t17 @t1) 33))))) % 0.39/0.62 (define @t24 () (@list @t16)) % 0.39/0.62 (define @t25 () (forall @t24 @t23)) % 0.39/0.62 (define @t26 () (@quantifiers_skolemize @t25 0)) % 0.39/0.62 (define @t27 () (tptp.write @t26 3 33)) % 0.39/0.62 (define @t28 () (tptp.write @t27 4 444)) % 0.39/0.62 (define @t29 () (tptp.read @t28 3)) % 0.39/0.62 (define @t30 () (tptp.read @t27 3)) % 0.39/0.62 (define @t31 () (= @t30 @t29)) % 0.39/0.62 (define @t32 () (= @t29 @t30)) % 0.39/0.62 (define @t33 () (not (= @t17 @t17))) % 0.39/0.62 (define @t34 () (or @t33 @t23)) % 0.39/0.62 (define @t35 () (not (forall @t14 (not @t13)))) % 0.39/0.62 (define @t36 () (not @t18)) % 0.39/0.62 (define @t37 () (or @t36 @t36 @t35)) % 0.39/0.62 (define @t38 () (@list @t3)) % 0.39/0.62 (define @t39 () (or @t36 @t35)) % 0.39/0.62 (define @t40 () (forall @t38 @t39)) % 0.39/0.62 (define @t41 () (forall @t24 @t40)) % 0.39/0.62 (define @t42 () (forall (@list @t16 @t3) @t39)) % 0.39/0.62 (define @t43 () (tptp.write @t28 5 55)) % 0.39/0.62 (define @t44 () (tptp.write @t43 4 44)) % 0.39/0.62 (define @t45 () (forall @t14 (not (= (tptp.read @t44 @t1) 33)))) % 0.39/0.62 (define @t46 () (not @t25)) % 0.39/0.62 (define @t47 () (not (not @t45))) % 0.39/0.62 (define @t48 () (= @t1 @t4)) % 0.39/0.62 (define @t49 () (= @t30 33)) % 0.39/0.62 (define @t50 () (= 33 @t30)) % 0.39/0.62 (define @t51 () (forall @t6 @t48)) % 0.39/0.62 (define @t52 () (@list false)) % 0.39/0.62 (define @t53 () (tptp.read @t43 3)) % 0.39/0.62 (define @t54 () (= (tptp.read @t44 3) @t53)) % 0.39/0.62 (define @t55 () (= 4 3)) % 0.39/0.62 (define @t56 () (or @t55 @t54)) % 0.39/0.62 (define @t57 () (@list @t12)) % 0.39/0.62 (define @t58 () (= @t53 @t29)) % 0.39/0.62 (define @t59 () (= 5 3)) % 0.39/0.62 (define @t60 () (or @t59 @t58)) % 0.39/0.62 (define @t61 () (or @t55 @t32)) % 0.39/0.62 (assume @p1 @t7) % 0.39/0.62 (assume @p2 @t12) % 0.39/0.62 (assume @p3 @t22) % 0.39/0.62 (assume @p4 true) % 0.39/0.62 (step @p5 :rule bool-eq-false :args (@t31)) % 0.39/0.62 (step @p6 :rule symm :premises (@p5)) % 0.39/0.62 (step @p7 :rule arith_poly_norm :args ((= (* 1 (- @t29 @t30)) (* -1 (- @t30 @t29))))) % 0.39/0.62 (step @p8 :rule arith_poly_norm_rel :premises (@p7) :args ((= @t32 @t31))) % 0.39/0.62 (step @p9 :rule cong :premises (@p8) :args ((not @t32))) % 0.39/0.62 (step @p10 :rule bool-eq-false :args (@t32)) % 0.39/0.62 (step @p11 :rule trans :premises (@p10 @p9)) % 0.39/0.62 (step @p12 :rule trans :premises (@p11 @p6)) % 0.39/0.62 (step @p13 :rule aci_norm :args ((= (or false @t23) @t23))) % 0.39/0.62 (step @p14 :rule refl :args (@t23)) % 0.39/0.62 (step @p15 :rule evaluate :args ((not true))) % 0.39/0.62 (step @p16 :rule eq-refl :args (@t17)) % 0.39/0.62 (step @p17 :rule cong :premises (@p16) :args (@t33)) % 0.39/0.62 (step @p18 :rule trans :premises (@p17 @p15)) % 0.39/0.62 (step @p19 :rule nary_cong :premises (@p18 @p14) :args (@t34)) % 0.39/0.62 (step @p20 :rule trans :premises (@p19 @p13)) % 0.39/0.62 (step @p21 :rule cong :premises (@p20) :args ((forall @t24 @t34))) % 0.39/0.62 (step @p22 :rule quant-var-elim-eq :args ((= (forall @t38 @t37) @t34))) % 0.39/0.62 (step @p23 :rule aci_norm :args ((= @t39 @t37))) % 0.39/0.62 (step @p24 :rule cong :premises (@p23) :args (@t40)) % 0.39/0.62 (step @p25 :rule trans :premises (@p24 @p22)) % 0.39/0.62 (step @p26 :rule cong :premises (@p25) :args (@t41)) % 0.39/0.62 (step @p27 :rule quant-merge-prenex :args ((= @t41 @t42))) % 0.39/0.62 (step @p28 :rule symm :premises (@p27)) % 0.39/0.62 (step @p29 :rule quant_var_reordering :args ((= (forall @t20 @t39) @t42))) % 0.39/0.62 (step @p30 :rule trans :premises (@p29 @p28 @p26)) % 0.39/0.62 (step @p31 :rule trans :premises (@p30 @p21)) % 0.39/0.62 (step @p32 :rule bool-impl-elim :args (@t18 @t35)) % 0.39/0.62 (step @p33 :rule cong :premises (@p32) :args ((forall @t20 (=> @t18 @t35)))) % 0.39/0.62 (step @p34 :rule trans :premises (@p33 @p31)) % 0.39/0.62 (step @p35 :rule exists-elim :args ((= @t15 @t35))) % 0.39/0.62 (step @p36 :rule refl :args (@t18)) % 0.39/0.62 (step @p37 :rule cong :premises (@p36 @p35) :args (@t19)) % 0.39/0.62 (step @p38 :rule cong :premises (@p37) :args (@t21)) % 0.39/0.62 (step @p39 :rule trans :premises (@p38 @p34)) % 0.39/0.62 (step @p40 :rule cong :premises (@p39) :args (@t22)) % 0.39/0.62 (step @p41 :rule eq_resolve :premises (@p3 @p40)) % 0.39/0.62 (step @p42 :rule refl :args (@t45)) % 0.39/0.62 (step @p43 :rule bool-double-not-elim :args (@t25)) % 0.39/0.62 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or (not @t46) @t45))) % 0.39/0.62 (step @p45 :rule bool-double-not-elim :args (@t45)) % 0.39/0.62 (step @p46 :rule refl :args (@t46)) % 0.39/0.62 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t46 @t47))) % 0.39/0.62 (assume-push @p118 @t46) % 0.39/0.62 (step @p49 :rule skolemize :premises (@p41)) % 0.39/0.62 (step-pop @p119 :rule scope :premises (@p49)) % 0.39/0.62 (step @p50 :rule process_scope :premises (@p119) :args (@t47)) % 0.39/0.62 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 0.39/0.62 (step @p53 :rule implies_elim :premises (@p52)) % 0.39/0.62 (step @p54 :rule eq_resolve :premises (@p53 @p44)) % 0.39/0.62 (step @p55 :rule chain_m_resolution :premises (@p54 @p41) :args (@t45 (@list true) (@list @t25))) % 0.39/0.62 (step @p56 :rule instantiate :premises (@p55) :args ((@list 3))) % 0.39/0.62 (step @p57 :rule false_intro :premises (@p56)) % 0.39/0.62 (step @p58 :rule arith_poly_norm :args ((= (* 1 (- @t4 @t1)) (* -1 (- @t1 @t4))))) % 0.39/0.62 (step @p59 :rule arith_poly_norm_rel :premises (@p58) :args ((= @t5 @t48))) % 0.39/0.62 (step @p60 :rule cong :premises (@p59) :args (@t7)) % 0.39/0.62 (step @p61 :rule eq_resolve :premises (@p1 @p60)) % 0.39/0.62 (step @p62 :rule arith_poly_norm :args ((= (* -33 (- 33 @t30)) (* 33 (- @t30 33))))) % 0.39/0.62 (step @p63 :rule arith_poly_norm_rel :premises (@p62) :args ((= @t50 @t49))) % 0.39/0.62 (step @p64 :rule refl :args (@t51)) % 0.39/0.62 (step @p65 :rule cong :premises (@p64 @p63) :args ((=> @t51 @t50))) % 0.39/0.62 (assume-push @p120 @t51) % 0.39/0.62 (step @p67 :rule instantiate :premises (@p61) :args ((@list @t26 3 33))) % 0.39/0.62 (step-pop @p121 :rule scope :premises (@p67)) % 0.39/0.62 (step @p68 :rule process_scope :premises (@p121) :args (@t50)) % 0.39/0.62 (step @p70 :rule eq_resolve :premises (@p68 @p65)) % 0.39/0.62 (step @p71 :rule implies_elim :premises (@p70)) % 0.39/0.62 (step @p72 :rule chain_m_resolution :premises (@p71 @p61) :args (@t49 @t52 (@list @t51))) % 0.39/0.62 (step @p73 :rule aci_norm :args ((= (or false @t54) @t54))) % 0.39/0.62 (step @p74 :rule refl :args (@t54)) % 0.39/0.62 (step @p75 :rule evaluate :args (@t55)) % 0.39/0.62 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t56)) % 0.39/0.62 (step @p77 :rule trans :premises (@p76 @p73)) % 0.39/0.62 (step @p78 :rule refl :args (@t12)) % 0.39/0.62 (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t12 @t56))) % 0.39/0.62 (assume-push @p122 @t12) % 0.39/0.62 (step @p81 :rule instantiate :premises (@p2) :args ((@list @t43 4 3 44))) % 0.39/0.62 (step-pop @p123 :rule scope :premises (@p81)) % 0.39/0.62 (step @p82 :rule process_scope :premises (@p123) :args (@t56)) % 0.39/0.62 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 0.39/0.62 (step @p85 :rule implies_elim :premises (@p84)) % 0.39/0.62 (step @p86 :rule chain_m_resolution :premises (@p85 @p2) :args (@t54 @t52 @t57)) % 0.39/0.62 (step @p87 :rule symm :premises (@p86)) % 0.39/0.62 (step @p88 :rule aci_norm :args ((= (or false @t58) @t58))) % 0.39/0.62 (step @p89 :rule refl :args (@t58)) % 0.39/0.62 (step @p90 :rule evaluate :args (@t59)) % 0.39/0.62 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t60)) % 0.39/0.62 (step @p92 :rule trans :premises (@p91 @p88)) % 0.39/0.62 (step @p93 :rule cong :premises (@p78 @p92) :args ((=> @t12 @t60))) % 0.39/0.62 (assume-push @p124 @t12) % 0.39/0.62 (step @p95 :rule instantiate :premises (@p2) :args ((@list @t28 5 3 55))) % 0.39/0.62 (step-pop @p125 :rule scope :premises (@p95)) % 0.39/0.62 (step @p96 :rule process_scope :premises (@p125) :args (@t60)) % 0.39/0.62 (step @p98 :rule eq_resolve :premises (@p96 @p93)) % 0.39/0.62 (step @p99 :rule implies_elim :premises (@p98)) % 0.39/0.62 (step @p100 :rule chain_m_resolution :premises (@p99 @p2) :args (@t58 @t52 @t57)) % 0.39/0.62 (step @p101 :rule symm :premises (@p100)) % 0.39/0.62 (step @p102 :rule trans :premises (@p101 @p87)) % 0.39/0.62 (step @p103 :rule cong :premises (@p102 @p72) :args (@t32)) % 0.39/0.62 (step @p104 :rule trans :premises (@p103 @p57)) % 0.39/0.62 (step @p105 :rule eq_resolve :premises (@p104 @p12)) % 0.39/0.62 (step @p106 :rule false_elim :premises (@p105)) % 0.39/0.62 (step @p107 :rule aci_norm :args ((= (or false @t31) @t31))) % 0.39/0.62 (step @p108 :rule nary_cong :premises (@p75 @p8) :args (@t61)) % 0.39/0.62 (step @p109 :rule trans :premises (@p108 @p107)) % 0.39/0.62 (step @p110 :rule cong :premises (@p78 @p109) :args ((=> @t12 @t61))) % 0.39/0.62 (assume-push @p126 @t12) % 0.39/0.62 (step @p112 :rule instantiate :premises (@p2) :args ((@list @t27 4 3 444))) % 0.39/0.62 (step-pop @p127 :rule scope :premises (@p112)) % 0.39/0.62 (step @p113 :rule process_scope :premises (@p127) :args (@t61)) % 0.39/0.62 (step @p115 :rule eq_resolve :premises (@p113 @p110)) % 0.39/0.62 (step @p116 :rule implies_elim :premises (@p115)) % 0.39/0.62 (step @p117 false :rule chain_m_resolution :premises (@p116 @p106 @p2) :args (false (@list true false) (@list @t31 @t12))) % 0.39/0.62 ) % 0.39/0.62 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------