%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI266_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 : n001.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 08:07:24 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ARI266_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n001.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 02:27:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 0.36/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (define @t1 () (@var "X" Real)) % 0.36/0.56 (define @t2 () (- 1)) % 0.36/0.56 (define @t3 () (/ @t2 4)) % 0.36/0.56 (define @t4 () (/ 1 2)) % 0.36/0.56 (define @t5 () (+ @t4 @t3)) % 0.36/0.56 (define @t6 () (= @t5 @t1)) % 0.36/0.56 (define @t7 () (@list @t1)) % 0.36/0.56 (define @t8 () (exists @t7 @t6)) % 0.36/0.56 (define @t9 () (not @t8)) % 0.36/0.56 (define @t10 () (= 1/4 1/4)) % 0.36/0.56 (define @t11 () (not @t10)) % 0.36/0.56 (define @t12 () (= @t1 1/4)) % 0.36/0.56 (define @t13 () (not @t12)) % 0.36/0.56 (define @t14 () (or @t13 @t13)) % 0.36/0.56 (define @t15 () (forall @t7 @t13)) % 0.36/0.56 (define @t16 () (not @t15)) % 0.36/0.56 (define @t17 () (to_real @t2)) % 0.36/0.56 (define @t18 () (* @t17 1/4)) % 0.36/0.56 (assume @p1 @t9) % 0.36/0.56 (assume @p2 true) % 0.36/0.56 (step @p3 :rule evaluate :args ((not true))) % 0.36/0.56 (step @p4 :rule evaluate :args ((not false))) % 0.36/0.56 (step @p5 :rule evaluate :args (@t10)) % 0.36/0.56 (step @p6 :rule cong :premises (@p5) :args (@t11)) % 0.36/0.56 (step @p7 :rule trans :premises (@p6 @p3)) % 0.36/0.56 (step @p8 :rule quant-var-elim-eq :args ((= (forall @t7 @t14) @t11))) % 0.36/0.56 (step @p9 :rule aci_norm :args ((= @t13 @t14))) % 0.36/0.56 (step @p10 :rule cong :premises (@p9) :args (@t15)) % 0.36/0.56 (step @p11 :rule trans :premises (@p10 @p8)) % 0.36/0.56 (step @p12 :rule trans :premises (@p11 @p7)) % 0.36/0.56 (step @p13 :rule cong :premises (@p12) :args (@t16)) % 0.36/0.56 (step @p14 :rule trans :premises (@p13 @p4)) % 0.36/0.56 (step @p15 :rule exists-elim :args ((= (exists @t7 @t12) @t16))) % 0.36/0.56 (step @p16 :rule trans :premises (@p15 @p14)) % 0.36/0.56 (step @p17 :rule arith_poly_norm :args ((= (* -1/4 (- 1/4 @t1)) (* 1/4 (- @t1 1/4))))) % 0.36/0.56 (step @p18 :rule arith_poly_norm_rel :premises (@p17) :args ((= (= 1/4 @t1) @t12))) % 0.36/0.56 (step @p19 :rule refl :args (@t1)) % 0.36/0.56 (step @p20 :rule evaluate :args ((+ 1/2 -1/4))) % 0.36/0.56 (step @p21 :rule evaluate :args ((* -1/1 1/4))) % 0.36/0.56 (step @p22 :rule refl :args (1/4)) % 0.36/0.56 (step @p23 :rule evaluate :args ((to_real -1))) % 0.36/0.56 (step @p24 :rule evaluate :args (@t2)) % 0.36/0.56 (step @p25 :rule cong :premises (@p24) :args (@t17)) % 0.36/0.56 (step @p26 :rule trans :premises (@p25 @p23)) % 0.36/0.56 (step @p27 :rule nary_cong :premises (@p26 @p22) :args (@t18)) % 0.36/0.56 (step @p28 :rule trans :premises (@p27 @p21)) % 0.36/0.56 (step @p29 :rule evaluate :args (@t18)) % 0.36/0.56 (step @p30 :rule symm :premises (@p29)) % 0.36/0.56 (step @p31 :rule evaluate :args (@t3)) % 0.36/0.56 (step @p32 :rule trans :premises (@p31 @p30)) % 0.36/0.56 (step @p33 :rule trans :premises (@p32 @p28)) % 0.36/0.56 (step @p34 :rule evaluate :args (@t4)) % 0.36/0.56 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t5)) % 0.36/0.56 (step @p36 :rule trans :premises (@p35 @p20)) % 0.36/0.56 (step @p37 :rule cong :premises (@p36 @p19) :args (@t6)) % 0.36/0.56 (step @p38 :rule trans :premises (@p37 @p18)) % 0.36/0.56 (step @p39 :rule cong :premises (@p38) :args (@t8)) % 0.36/0.56 (step @p40 :rule trans :premises (@p39 @p16)) % 0.36/0.56 (step @p41 :rule cong :premises (@p40) :args (@t9)) % 0.36/0.56 (step @p42 :rule trans :premises (@p41 @p3)) % 0.36/0.56 (step @p43 false :rule eq_resolve :premises (@p1 @p42)) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------