%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT066_1 : TPTP v9.2.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:14:27 AM UTC 2026 % Result : Theorem 0.29s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT066_1 : TPTP v9.2.1. Released v5.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.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 22:27:48 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_ARI % 0.29/0.55 --- Run --finite-model-find --decision=internal at 45... % 0.29/0.55 % SZS status Theorem % 0.29/0.55 % SZS output start Proof % 0.29/0.55 ( % 0.29/0.55 (declare-sort tptp.heap 0) % 0.29/0.55 (declare-const tptp.lsls (-> tptp.heap tptp.heap Bool)) % 0.29/0.55 (declare-const tptp.toop (-> tptp.heap Int)) % 0.29/0.55 (declare-const tptp.get (-> tptp.heap tptp.heap)) % 0.29/0.55 (declare-const tptp.length (-> tptp.heap Int)) % 0.29/0.55 (declare-const tptp.app (-> tptp.heap Int tptp.heap)) % 0.29/0.55 (declare-const tptp.sel (-> tptp.heap Int Int)) % 0.29/0.55 (declare-const tptp.empty tptp.heap) % 0.29/0.55 (define @t1 () (@var "M" Int)) % 0.29/0.55 (define @t2 () (@list @t1)) % 0.29/0.55 (define @t3 () (@var "N" Int)) % 0.29/0.55 (define @t4 () (@var "H" tptp.heap)) % 0.29/0.55 (define @t5 () (tptp.app @t4 @t3)) % 0.29/0.55 (define @t6 () (tptp.sel @t5 @t1)) % 0.29/0.55 (define @t7 () (= @t6 @t3)) % 0.29/0.55 (define @t8 () (+ 1 (tptp.length @t4))) % 0.29/0.55 (define @t9 () (= @t1 @t8)) % 0.29/0.55 (define @t10 () (=> @t9 @t7)) % 0.29/0.55 (define @t11 () (@list @t4 @t1 @t3)) % 0.29/0.55 (define @t12 () (forall @t11 @t10)) % 0.29/0.55 (define @t13 () (not @t9)) % 0.29/0.55 (define @t14 () (@list @t3 @t4 @t1)) % 0.29/0.55 (define @t15 () (@list @t3 @t4)) % 0.29/0.55 (define @t16 () (@list @t4 @t3)) % 0.29/0.55 (define @t17 () (@var "N0" Int)) % 0.29/0.55 (define @t18 () (@var "H0" tptp.heap)) % 0.29/0.55 (define @t19 () (@list @t4)) % 0.29/0.55 (define @t20 () (@var "H1" tptp.heap)) % 0.29/0.55 (define @t21 () (or @t7 @t13)) % 0.29/0.55 (define @t22 () (@list @t3 @t1 @t4)) % 0.29/0.55 (define @t23 () (forall @t22 @t21)) % 0.29/0.55 (define @t24 () (not @t23)) % 0.29/0.55 (define @t25 () (= @t3 (tptp.sel @t5 @t8))) % 0.29/0.55 (define @t26 () (not (= @t8 @t8))) % 0.29/0.55 (define @t27 () (or @t26 @t25)) % 0.29/0.55 (define @t28 () (= @t3 @t6)) % 0.29/0.55 (define @t29 () (or @t13 @t13 @t28)) % 0.29/0.55 (define @t30 () (or @t13 @t28)) % 0.29/0.55 (define @t31 () (forall @t2 @t30)) % 0.29/0.55 (define @t32 () (forall @t16 @t31)) % 0.29/0.55 (define @t33 () (forall (@list @t4 @t3 @t1) @t30)) % 0.29/0.55 (define @t34 () (forall @t15 @t25)) % 0.29/0.55 (define @t35 () (forall @t16 @t25)) % 0.29/0.55 (define @t36 () (@list false)) % 0.29/0.55 (define @t37 () (or @t25 @t26)) % 0.29/0.55 (define @t38 () (or @t13 @t28 @t13)) % 0.29/0.55 (define @t39 () (or @t28 @t13)) % 0.29/0.55 (define @t40 () (forall @t2 @t39)) % 0.29/0.55 (define @t41 () (forall @t15 @t40)) % 0.29/0.55 (define @t42 () (forall @t14 @t39)) % 0.29/0.55 (assume @p1 (forall @t2 (= (tptp.sel tptp.empty @t1) 0))) % 0.29/0.55 (assume @p2 @t12) % 0.29/0.55 (assume @p3 (forall @t14 (=> @t13 (= @t6 (tptp.sel @t4 @t1))))) % 0.29/0.55 (assume @p4 (forall @t15 (= (tptp.get @t5) @t4))) % 0.29/0.55 (assume @p5 (forall @t16 (= (tptp.toop @t5) @t3))) % 0.29/0.55 (assume @p6 (forall (@list @t4 @t18 @t3 @t17) (= (= @t5 (tptp.app @t18 @t17)) (and (= @t4 @t18) (= @t3 @t17))))) % 0.29/0.55 (assume @p7 (forall @t16 (not (= tptp.empty @t5)))) % 0.29/0.55 (assume @p8 (forall @t19 (or (= @t4 tptp.empty) (= @t4 (tptp.app (tptp.get @t4) (tptp.toop @t4)))))) % 0.29/0.55 (assume @p9 (= (tptp.length tptp.empty) 0)) % 0.29/0.55 (assume @p10 (forall @t15 (= (tptp.length @t5) @t8))) % 0.29/0.55 (assume @p11 (forall @t19 (not (tptp.lsls @t4 @t4)))) % 0.29/0.55 (assume @p12 (forall (@list @t18 @t4 @t20) (=> (and (tptp.lsls @t4 @t18) (tptp.lsls @t18 @t20)) (tptp.lsls @t4 @t20)))) % 0.29/0.55 (assume @p13 (forall @t19 (not (tptp.lsls @t4 tptp.empty)))) % 0.29/0.55 (assume @p14 (forall (@list @t3 @t18 @t4) (= (tptp.lsls @t18 @t5) (or (= @t18 @t4) (tptp.lsls @t18 @t4))))) % 0.29/0.55 (assume @p15 @t24) % 0.29/0.55 (assume @p16 true) % 0.29/0.55 (step @p17 :rule aci_norm :args ((= (or false @t25) @t25))) % 0.29/0.55 (step @p18 :rule refl :args (@t25)) % 0.29/0.55 (step @p19 :rule evaluate :args ((not true))) % 0.29/0.55 (step @p20 :rule eq-refl :args (@t8)) % 0.29/0.55 (step @p21 :rule cong :premises (@p20) :args (@t26)) % 0.29/0.55 (step @p22 :rule trans :premises (@p21 @p19)) % 0.29/0.55 (step @p23 :rule nary_cong :premises (@p22 @p18) :args (@t27)) % 0.29/0.55 (step @p24 :rule trans :premises (@p23 @p17)) % 0.29/0.55 (step @p25 :rule cong :premises (@p24) :args ((forall @t16 @t27))) % 0.29/0.55 (step @p26 :rule quant-var-elim-eq :args ((= (forall @t2 @t29) @t27))) % 0.29/0.55 (step @p27 :rule aci_norm :args ((= @t30 @t29))) % 0.29/0.55 (step @p28 :rule cong :premises (@p27) :args (@t31)) % 0.29/0.55 (step @p29 :rule trans :premises (@p28 @p26)) % 0.29/0.55 (step @p30 :rule cong :premises (@p29) :args (@t32)) % 0.29/0.55 (step @p31 :rule quant-merge-prenex :args ((= @t32 @t33))) % 0.29/0.55 (step @p32 :rule symm :premises (@p31)) % 0.29/0.55 (step @p33 :rule quant_var_reordering :args ((= (forall @t11 @t30) @t33))) % 0.29/0.55 (step @p34 :rule trans :premises (@p33 @p32 @p30)) % 0.29/0.55 (step @p35 :rule trans :premises (@p34 @p25)) % 0.29/0.55 (step @p36 :rule bool-impl-elim :args (@t9 @t28)) % 0.29/0.55 (step @p37 :rule cong :premises (@p36) :args ((forall @t11 (=> @t9 @t28)))) % 0.29/0.55 (step @p38 :rule trans :premises (@p37 @p35)) % 0.29/0.55 (step @p39 :rule arith_poly_norm :args ((= (* 1 (- @t6 @t3)) (* -1 (- @t3 @t6))))) % 0.37/0.56 (step @p40 :rule arith_poly_norm_rel :premises (@p39) :args ((= @t7 @t28))) % 0.37/0.56 (step @p41 :rule refl :args (@t9)) % 0.37/0.56 (step @p42 :rule cong :premises (@p41 @p40) :args (@t10)) % 0.37/0.56 (step @p43 :rule cong :premises (@p42) :args (@t12)) % 0.37/0.56 (step @p44 :rule trans :premises (@p43 @p38)) % 0.37/0.56 (step @p45 :rule eq_resolve :premises (@p2 @p44)) % 0.37/0.56 (step @p46 :rule quant_var_reordering :args ((= @t35 @t34))) % 0.37/0.56 (step @p47 :rule equiv_elim1 :premises (@p46)) % 0.37/0.56 (step @p48 :rule reordering :premises (@p47) :args ((or @t34 (not @t35)))) % 0.37/0.56 (step @p49 :rule chain_m_resolution :premises (@p48 @p45) :args (@t34 @t36 (@list @t35))) % 0.37/0.56 (step @p50 :rule aci_norm :args ((= (or @t25 false) @t25))) % 0.37/0.56 (step @p51 :rule nary_cong :premises (@p18 @p22) :args (@t37)) % 0.37/0.56 (step @p52 :rule trans :premises (@p51 @p50)) % 0.37/0.56 (step @p53 :rule cong :premises (@p52) :args ((forall @t15 @t37))) % 0.37/0.56 (step @p54 :rule quant-var-elim-eq :args ((= (forall @t2 @t38) @t37))) % 0.37/0.56 (step @p55 :rule aci_norm :args ((= @t39 @t38))) % 0.37/0.56 (step @p56 :rule cong :premises (@p55) :args (@t40)) % 0.37/0.56 (step @p57 :rule trans :premises (@p56 @p54)) % 0.37/0.56 (step @p58 :rule cong :premises (@p57) :args (@t41)) % 0.37/0.56 (step @p59 :rule quant-merge-prenex :args ((= @t41 @t42))) % 0.37/0.56 (step @p60 :rule symm :premises (@p59)) % 0.37/0.56 (step @p61 :rule quant_var_reordering :args ((= (forall @t22 @t39) @t42))) % 0.37/0.56 (step @p62 :rule trans :premises (@p61 @p60 @p58)) % 0.37/0.56 (step @p63 :rule trans :premises (@p62 @p53)) % 0.37/0.56 (step @p64 :rule refl :args (@t13)) % 0.37/0.56 (step @p65 :rule nary_cong :premises (@p40 @p64) :args (@t21)) % 0.37/0.56 (step @p66 :rule cong :premises (@p65) :args (@t23)) % 0.37/0.56 (step @p67 :rule trans :premises (@p66 @p63)) % 0.37/0.56 (step @p68 :rule cong :premises (@p67) :args (@t24)) % 0.37/0.56 (step @p69 :rule eq_resolve :premises (@p15 @p68)) % 0.37/0.56 (step @p70 false :rule chain_m_resolution :premises (@p69 @p49) :args (false @t36 (@list @t34))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------