%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI742_1 : TPTP v9.2.1. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:08:14 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI742_1 : TPTP v9.2.1. Released v7.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n025.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 02:32:46 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_ARI % 0.30/0.55 --- Run --finite-model-find --decision=internal at 45... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-const tptp.sqrt (-> Real Real)) % 0.30/0.55 (declare-const tptp.sqr (-> Real Real)) % 0.30/0.55 (define @t1 () (@var "X" Real)) % 0.30/0.55 (define @t2 () (* @t1 @t1)) % 0.30/0.55 (define @t3 () (@list @t1)) % 0.30/0.55 (define @t4 () (tptp.sqrt @t1)) % 0.30/0.55 (define @t5 () (<= 0/1 @t1)) % 0.30/0.55 (define @t6 () (tptp.sqrt @t2)) % 0.30/0.55 (define @t7 () (= @t6 @t1)) % 0.30/0.55 (define @t8 () (=> @t5 @t7)) % 0.30/0.55 (define @t9 () (forall @t3 @t8)) % 0.30/0.55 (define @t10 () (@var "Y" Real)) % 0.30/0.55 (define @t11 () (tptp.sqrt @t10)) % 0.30/0.55 (define @t12 () (@list @t1 @t10)) % 0.30/0.55 (define @t13 () (tptp.sqrt 0/1)) % 0.30/0.55 (define @t14 () (= @t13 0/1)) % 0.30/0.55 (define @t15 () (>= @t1 0/1)) % 0.30/0.55 (define @t16 () (* @t1 @t1)) % 0.30/0.55 (define @t17 () (tptp.sqrt @t16)) % 0.30/0.55 (define @t18 () (= @t1 @t17)) % 0.30/0.55 (define @t19 () (* 0/1 0/1)) % 0.30/0.55 (define @t20 () (tptp.sqrt @t19)) % 0.30/0.55 (define @t21 () (= 0/1 @t20)) % 0.30/0.55 (define @t22 () (>= 0/1 0/1)) % 0.30/0.55 (define @t23 () (not @t22)) % 0.30/0.55 (define @t24 () (or @t23 @t21)) % 0.30/0.55 (define @t25 () (forall @t3 (or (not @t15) @t18))) % 0.30/0.55 (assume @p1 (forall @t3 (= (tptp.sqr @t1) @t2))) % 0.30/0.55 (assume @p2 (forall @t3 (=> @t5 (<= 0/1 @t4)))) % 0.30/0.55 (assume @p3 (forall @t3 (=> @t5 (= (tptp.sqr @t4) @t1)))) % 0.30/0.55 (assume @p4 @t9) % 0.30/0.55 (assume @p5 (forall @t12 (=> (and @t5 (<= 0/1 @t10)) (= (tptp.sqrt (* @t1 @t10)) (* @t4 @t11))))) % 0.30/0.55 (assume @p6 (forall @t12 (=> (and @t5 (<= @t1 @t10)) (<= @t4 @t11)))) % 0.30/0.55 (assume @p7 (not @t14)) % 0.30/0.55 (assume @p8 true) % 0.30/0.55 (step @p9 :rule bool-impl-elim :args (@t15 @t18)) % 0.30/0.55 (step @p10 :rule cong :premises (@p9) :args ((forall @t3 (=> @t15 @t18)))) % 0.30/0.55 (step @p11 :rule arith_poly_norm :args ((= (* 1/1 (- @t17 @t1)) (* -1/1 (- @t1 @t17))))) % 0.30/0.55 (step @p12 :rule arith_poly_norm_rel :premises (@p11) :args ((= (= @t17 @t1) @t18))) % 0.30/0.55 (step @p13 :rule refl :args (@t1)) % 0.30/0.55 (step @p14 :rule arith_poly_norm :args ((= @t2 @t16))) % 0.30/0.55 (step @p15 :rule cong :premises (@p14) :args (@t6)) % 0.30/0.55 (step @p16 :rule cong :premises (@p15 @p13) :args (@t7)) % 0.30/0.55 (step @p17 :rule trans :premises (@p16 @p12)) % 0.30/0.55 (step @p18 :rule arith-elim-leq :args (0/1 @t1)) % 0.30/0.55 (step @p19 :rule cong :premises (@p18 @p17) :args (@t8)) % 0.30/0.55 (step @p20 :rule cong :premises (@p19) :args (@t9)) % 0.30/0.55 (step @p21 :rule trans :premises (@p20 @p10)) % 0.30/0.55 (step @p22 :rule eq_resolve :premises (@p4 @p21)) % 0.30/0.55 (step @p23 :rule aci_norm :args ((= (or false @t14) @t14))) % 0.30/0.55 (step @p24 :rule arith_poly_norm :args ((= (* 1/1 (- 0/1 @t13)) (* -1/1 (- @t13 0/1))))) % 0.30/0.55 (step @p25 :rule arith_poly_norm_rel :premises (@p24) :args ((= (= 0/1 @t13) @t14))) % 0.30/0.55 (step @p26 :rule evaluate :args (@t19)) % 0.30/0.55 (step @p27 :rule cong :premises (@p26) :args (@t20)) % 0.30/0.55 (step @p28 :rule refl :args (0/1)) % 0.30/0.55 (step @p29 :rule cong :premises (@p28 @p27) :args (@t21)) % 0.30/0.55 (step @p30 :rule trans :premises (@p29 @p25)) % 0.30/0.55 (step @p31 :rule evaluate :args ((not true))) % 0.30/0.55 (step @p32 :rule evaluate :args (@t22)) % 0.30/0.55 (step @p33 :rule cong :premises (@p32) :args (@t23)) % 0.30/0.55 (step @p34 :rule trans :premises (@p33 @p31)) % 0.30/0.55 (step @p35 :rule nary_cong :premises (@p34 @p30) :args (@t24)) % 0.30/0.55 (step @p36 :rule trans :premises (@p35 @p23)) % 0.30/0.55 (step @p37 :rule refl :args (@t25)) % 0.30/0.55 (step @p38 :rule cong :premises (@p37 @p36) :args ((=> @t25 @t24))) % 0.30/0.55 (assume-push @p47 @t25) % 0.30/0.55 (step @p40 :rule instantiate :premises (@p22) :args ((@list 0/1))) % 0.30/0.55 (step-pop @p48 :rule scope :premises (@p40)) % 0.30/0.55 (step @p41 :rule process_scope :premises (@p48) :args (@t24)) % 0.30/0.55 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 0.30/0.55 (step @p44 :rule implies_elim :premises (@p43)) % 0.30/0.55 (step @p45 :rule reordering :premises (@p44) :args ((or @t14 (not @t25)))) % 0.30/0.55 (step @p46 false :rule chain_m_resolution :premises (@p45 @p7 @p22) :args (false (@list true false) (@list @t14 @t25))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------