%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI222_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 : n009.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 08:07:19 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI222_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 : n009.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 : Wed Jun 3 02:26:29 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_ARI % 0.39/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (define @t1 () (@var "Y" Real)) % 0.39/0.56 (define @t2 () (@var "X" Real)) % 0.39/0.56 (define @t3 () (@list @t2 @t1)) % 0.39/0.56 (define @t4 () (exists @t3 (> @t2 @t1))) % 0.39/0.56 (define @t5 () (not @t4)) % 0.39/0.56 (define @t6 () (@list @t1)) % 0.39/0.56 (define @t7 () (+ (* -1/1 @t2) @t1)) % 0.39/0.56 (define @t8 () (>= @t7 0/1)) % 0.39/0.56 (define @t9 () (forall (@list @t2) @t8)) % 0.39/0.56 (define @t10 () (+ @t1 1/1)) % 0.39/0.56 (define @t11 () (+ (* -1/1 @t10) @t1)) % 0.39/0.56 (define @t12 () (forall @t6 @t9)) % 0.39/0.56 (define @t13 () (forall (@list @t1 @t2) @t8)) % 0.39/0.56 (define @t14 () (not @t8)) % 0.39/0.56 (define @t15 () (forall @t3 (not @t14))) % 0.39/0.56 (define @t16 () (not @t15)) % 0.39/0.56 (define @t17 () (>= @t1 @t2)) % 0.39/0.56 (assume @p1 @t5) % 0.39/0.56 (assume @p2 true) % 0.39/0.56 (step @p3 :rule evaluate :args ((not true))) % 0.39/0.56 (step @p4 :rule evaluate :args ((not false))) % 0.39/0.56 (step @p5 :rule quant-unused-vars :args ((= (forall @t6 false) false))) % 0.39/0.56 (assume-push @p45 @t9) % 0.39/0.56 (step @p7 :rule evaluate :args ((>= -1/1 0/1))) % 0.39/0.56 (step @p8 :rule refl :args (0/1)) % 0.39/0.56 (step @p9 :rule arith_poly_norm :args ((= @t11 -1/1))) % 0.39/0.56 (step @p10 :rule cong :premises (@p9 @p8) :args ((>= @t11 0/1))) % 0.39/0.56 (step @p11 :rule trans :premises (@p10 @p7)) % 0.39/0.56 (step @p12 :rule instantiate :premises (@p45) :args ((@list @t10))) % 0.39/0.56 (step @p13 false :rule eq_resolve :premises (@p12 @p11)) % 0.39/0.56 (step-pop @p46 :rule scope :premises (@p13)) % 0.39/0.56 (step @p14 :rule process_scope :premises (@p46) :args (false)) % 0.39/0.56 (step @p16 :rule false_intro :premises (@p14)) % 0.39/0.56 (step @p17 :rule cong :premises (@p16) :args (@t12)) % 0.39/0.56 (step @p18 :rule quant-merge-prenex :args ((= @t12 @t13))) % 0.39/0.56 (step @p19 :rule symm :premises (@p18)) % 0.39/0.56 (step @p20 :rule quant_var_reordering :args ((= (forall @t3 @t8) @t13))) % 0.39/0.56 (step @p21 :rule trans :premises (@p20 @p19 @p17)) % 0.39/0.56 (step @p22 :rule trans :premises (@p21 @p5)) % 0.39/0.56 (step @p23 :rule bool-double-not-elim :args (@t8)) % 0.39/0.56 (step @p24 :rule cong :premises (@p23) :args (@t15)) % 0.39/0.56 (step @p25 :rule trans :premises (@p24 @p22)) % 0.39/0.56 (step @p26 :rule cong :premises (@p25) :args (@t16)) % 0.39/0.56 (step @p27 :rule trans :premises (@p26 @p4)) % 0.39/0.56 (step @p28 :rule exists-elim :args ((= (exists @t3 @t14) @t16))) % 0.39/0.56 (step @p29 :rule trans :premises (@p28 @p27)) % 0.39/0.56 (step @p30 :rule arith_poly_norm :args ((= (* -1/1 (- @t1 @t2)) (* -1/1 (- @t7 0/1))))) % 0.39/0.56 (step @p31 :rule arith_poly_norm_rel :premises (@p30) :args ((= @t17 @t8))) % 0.39/0.56 (step @p32 :rule arith-elim-leq :args (@t2 @t1)) % 0.39/0.56 (step @p33 :rule trans :premises (@p32 @p31)) % 0.39/0.56 (step @p34 :rule cong :premises (@p33) :args ((not (<= @t2 @t1)))) % 0.39/0.56 (step @p35 :rule symm :premises (@p32)) % 0.39/0.56 (step @p36 :rule cong :premises (@p35) :args ((not @t17))) % 0.39/0.56 (step @p37 :rule arith-elim-gt :args (@t2 @t1)) % 0.39/0.56 (step @p38 :rule trans :premises (@p37 @p36)) % 0.39/0.56 (step @p39 :rule trans :premises (@p38 @p34)) % 0.39/0.56 (step @p40 :rule cong :premises (@p39) :args (@t4)) % 0.39/0.56 (step @p41 :rule trans :premises (@p40 @p29)) % 0.39/0.56 (step @p42 :rule cong :premises (@p41) :args (@t5)) % 0.39/0.56 (step @p43 :rule trans :premises (@p42 @p3)) % 0.39/0.56 (step @p44 false :rule eq_resolve :premises (@p1 @p43)) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------