%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI033_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 : n003.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 08:07:00 AM UTC 2026 % Result : Theorem 0.29s 0.54s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI033_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 % 0.16/0.34 % Computer : n003.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 : Wed Jun 3 02:24:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_ARI % 0.29/0.54 --- Run --finite-model-find --decision=internal at 45... % 0.29/0.54 % SZS status Theorem % 0.29/0.54 % SZS output start Proof % 0.29/0.54 ( % 0.29/0.54 (define @t1 () (@var "Y" Int)) % 0.29/0.54 (define @t2 () (@var "X" Int)) % 0.29/0.54 (define @t3 () (@list @t2 @t1)) % 0.29/0.54 (define @t4 () (exists @t3 (> @t2 @t1))) % 0.29/0.54 (define @t5 () (not @t4)) % 0.29/0.54 (define @t6 () (not true)) % 0.29/0.54 (define @t7 () (@list @t1)) % 0.29/0.54 (define @t8 () (* -1 @t1)) % 0.29/0.54 (define @t9 () (+ @t2 @t8)) % 0.29/0.54 (define @t10 () (>= @t9 1)) % 0.29/0.54 (define @t11 () (not @t10)) % 0.29/0.54 (define @t12 () (forall (@list @t2) @t11)) % 0.29/0.54 (define @t13 () (* -1 (+ -1 @t8))) % 0.29/0.54 (define @t14 () (+ @t13 @t8)) % 0.29/0.54 (define @t15 () (>= @t14 1)) % 0.29/0.54 (define @t16 () (forall @t7 @t12)) % 0.29/0.54 (define @t17 () (forall (@list @t1 @t2) @t11)) % 0.29/0.54 (define @t18 () (forall @t3 @t11)) % 0.29/0.54 (define @t19 () (not @t18)) % 0.29/0.54 (define @t20 () (+ @t1 1)) % 0.29/0.54 (define @t21 () (>= @t2 @t20)) % 0.29/0.54 (assume @p1 @t5) % 0.29/0.54 (assume @p2 true) % 0.29/0.54 (step @p3 :rule evaluate :args (@t6)) % 0.29/0.54 (step @p4 :rule evaluate :args ((not false))) % 0.29/0.54 (step @p5 :rule quant-unused-vars :args ((= (forall @t7 false) false))) % 0.29/0.54 (assume-push @p49 @t12) % 0.29/0.54 (step @p7 :rule evaluate :args (@t6)) % 0.29/0.54 (step @p8 :rule evaluate :args ((>= 1 1))) % 0.29/0.54 (step @p9 :rule refl :args (1)) % 0.29/0.54 (step @p10 :rule arith_poly_norm :args ((= @t14 1))) % 0.29/0.54 (step @p11 :rule cong :premises (@p10 @p9) :args (@t15)) % 0.29/0.54 (step @p12 :rule trans :premises (@p11 @p8)) % 0.29/0.54 (step @p13 :rule cong :premises (@p12) :args ((not @t15))) % 0.29/0.54 (step @p14 :rule trans :premises (@p13 @p7)) % 0.29/0.54 (step @p15 :rule instantiate :premises (@p49) :args ((@list @t13))) % 0.29/0.54 (step @p16 false :rule eq_resolve :premises (@p15 @p14)) % 0.29/0.54 (step-pop @p50 :rule scope :premises (@p16)) % 0.29/0.54 (step @p17 :rule process_scope :premises (@p50) :args (false)) % 0.29/0.54 (step @p19 :rule false_intro :premises (@p17)) % 0.29/0.54 (step @p20 :rule cong :premises (@p19) :args (@t16)) % 0.29/0.54 (step @p21 :rule quant-merge-prenex :args ((= @t16 @t17))) % 0.29/0.54 (step @p22 :rule symm :premises (@p21)) % 0.29/0.54 (step @p23 :rule quant_var_reordering :args ((= @t18 @t17))) % 0.29/0.54 (step @p24 :rule trans :premises (@p23 @p22 @p20)) % 0.29/0.54 (step @p25 :rule trans :premises (@p24 @p5)) % 0.29/0.54 (step @p26 :rule cong :premises (@p25) :args (@t19)) % 0.29/0.54 (step @p27 :rule trans :premises (@p26 @p4)) % 0.29/0.54 (step @p28 :rule exists-elim :args ((= (exists @t3 @t10) @t19))) % 0.29/0.54 (step @p29 :rule trans :premises (@p28 @p27)) % 0.29/0.54 (step @p30 :rule bool-double-not-elim :args (@t10)) % 0.29/0.54 (step @p31 :rule arith_poly_norm :args ((= (* -1 (- @t2 @t20)) (* -1 (- @t9 1))))) % 0.29/0.54 (step @p32 :rule arith_poly_norm_rel :premises (@p31) :args ((= @t21 @t10))) % 0.29/0.54 (step @p33 :rule cong :premises (@p32) :args ((not @t21))) % 0.29/0.54 (step @p34 :rule arith-leq-norm :args (@t2 @t1)) % 0.29/0.54 (step @p35 :rule trans :premises (@p34 @p33)) % 0.29/0.54 (step @p36 :rule cong :premises (@p35) :args ((not (<= @t2 @t1)))) % 0.29/0.54 (step @p37 :rule trans :premises (@p36 @p30)) % 0.29/0.54 (step @p38 :rule arith-elim-leq :args (@t2 @t1)) % 0.29/0.54 (step @p39 :rule symm :premises (@p38)) % 0.29/0.54 (step @p40 :rule cong :premises (@p39) :args ((not (>= @t1 @t2)))) % 0.29/0.54 (step @p41 :rule arith-elim-gt :args (@t2 @t1)) % 0.29/0.54 (step @p42 :rule trans :premises (@p41 @p40)) % 0.29/0.54 (step @p43 :rule trans :premises (@p42 @p37)) % 0.29/0.54 (step @p44 :rule cong :premises (@p43) :args (@t4)) % 0.29/0.54 (step @p45 :rule trans :premises (@p44 @p29)) % 0.29/0.54 (step @p46 :rule cong :premises (@p45) :args (@t5)) % 0.29/0.54 (step @p47 :rule trans :premises (@p46 @p3)) % 0.29/0.54 (step @p48 false :rule eq_resolve :premises (@p1 @p47)) % 0.29/0.54 ) % 0.29/0.54 % SZS output end Proof % 0.29/0.54 % cvc5 exiting %------------------------------------------------------------------------------