%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI648_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:08:03 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI648_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n015.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 02:31:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_ARI % 0.37/0.57 --- Run --finite-model-find --decision=internal at 45... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-const tptp.b Int) % 0.37/0.57 (declare-const tptp.a Int) % 0.37/0.57 (define @t1 () (* 2 tptp.a)) % 0.37/0.57 (define @t2 () (* 4 tptp.b)) % 0.37/0.57 (define @t3 () (- @t1 @t2)) % 0.37/0.57 (define @t4 () (or (> 8 @t3) (< 0 @t1))) % 0.37/0.57 (define @t5 () (* 2 tptp.b)) % 0.37/0.57 (define @t6 () (- 1)) % 0.37/0.57 (define @t7 () (* @t6 @t5)) % 0.37/0.57 (define @t8 () (+ tptp.a @t7)) % 0.37/0.57 (define @t9 () (>= 3 @t8)) % 0.37/0.57 (define @t10 () (* 30 tptp.b)) % 0.37/0.57 (define @t11 () (* @t6 @t10)) % 0.37/0.57 (define @t12 () (* 20 tptp.a)) % 0.37/0.57 (define @t13 () (+ @t12 @t11)) % 0.37/0.57 (define @t14 () (= @t13 7)) % 0.37/0.57 (define @t15 () (or @t14 @t9 (<= 1 tptp.a))) % 0.37/0.57 (define @t16 () (not @t15)) % 0.37/0.57 (define @t17 () (>= tptp.a 1)) % 0.37/0.57 (define @t18 () (+ @t5 (* -1 tptp.a))) % 0.37/0.57 (define @t19 () (>= @t18 -3)) % 0.37/0.57 (define @t20 () (* -2 tptp.b)) % 0.37/0.57 (define @t21 () (+ @t20 tptp.a)) % 0.37/0.57 (define @t22 () (+ (* -3 tptp.b) @t1)) % 0.37/0.57 (define @t23 () (to_real @t22)) % 0.37/0.57 (define @t24 () (to_real 7)) % 0.37/0.57 (define @t25 () (* -30 tptp.b)) % 0.37/0.57 (define @t26 () (+ @t25 @t12)) % 0.37/0.57 (define @t27 () (to_real @t26)) % 0.37/0.57 (define @t28 () (- @t27 @t24)) % 0.37/0.57 (define @t29 () (= @t27 @t24)) % 0.37/0.57 (define @t30 () (+ tptp.a 1)) % 0.37/0.57 (define @t31 () (>= 0 @t1)) % 0.37/0.57 (define @t32 () (to_int -7/2)) % 0.37/0.57 (define @t33 () (to_real @t18)) % 0.37/0.57 (define @t34 () (* -4 tptp.b)) % 0.37/0.57 (define @t35 () (+ @t34 @t1)) % 0.37/0.57 (define @t36 () (+ @t35 1)) % 0.37/0.57 (define @t37 () (>= 8 @t36)) % 0.37/0.57 (define @t38 () (* -1 @t2)) % 0.37/0.57 (define @t39 () (+ @t1 @t38)) % 0.37/0.57 (define @t40 () (<= 8 @t3)) % 0.37/0.57 (assume @p1 @t4) % 0.37/0.57 (assume @p2 @t16) % 0.37/0.57 (assume @p3 true) % 0.37/0.57 (step @p4 :rule aci_norm :args ((= (or false @t19 @t17) (or @t19 @t17)))) % 0.37/0.57 (step @p5 :rule arith-elim-leq :args (1 tptp.a)) % 0.37/0.57 (step @p6 :rule arith_poly_norm :args ((= (* 3 (- 3 @t21)) (* 3 (- @t18 -3))))) % 0.37/0.57 (step @p7 :rule arith_poly_norm_rel :premises (@p6) :args ((= (>= 3 @t21) @t19))) % 0.37/0.57 (step @p8 :rule arith_poly_norm :args ((= (+ tptp.a @t20) @t21))) % 0.37/0.57 (step @p9 :rule arith_poly_norm :args ((= (* -1 @t5) @t20))) % 0.37/0.57 (step @p10 :rule refl :args (@t5)) % 0.37/0.57 (step @p11 :rule evaluate :args (@t6)) % 0.37/0.57 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t7)) % 0.37/0.57 (step @p13 :rule trans :premises (@p12 @p9)) % 0.37/0.57 (step @p14 :rule refl :args (tptp.a)) % 0.37/0.57 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t8)) % 0.37/0.57 (step @p16 :rule trans :premises (@p15 @p8)) % 0.37/0.57 (step @p17 :rule refl :args (3)) % 0.37/0.57 (step @p18 :rule cong :premises (@p17 @p16) :args (@t9)) % 0.37/0.57 (step @p19 :rule trans :premises (@p18 @p7)) % 0.37/0.57 (step @p20 :rule evaluate :args ((= (to_real (to_int 7/10)) 7/10))) % 0.37/0.57 (step @p21 :rule arith-int-eq-conflict :premises (@p20) :args (@t22 7/10)) % 0.37/0.57 (step @p22 :rule arith_poly_norm :args ((= (* -7/10 @t28) (* -7/1 (- @t23 7/10))))) % 0.37/0.57 (step @p23 :rule arith_poly_norm_rel :premises (@p22) :args ((= @t29 (= @t23 7/10)))) % 0.37/0.57 (step @p24 :rule arith_poly_norm :args ((= (* -7/1 (to_real (- @t26 7))) (* -7/1 @t28)))) % 0.37/0.57 (step @p25 :rule arith_poly_norm_rel :premises (@p24) :args ((= (= @t26 7) @t29))) % 0.37/0.57 (step @p26 :rule trans :premises (@p25 @p23 @p21)) % 0.37/0.57 (step @p27 :rule refl :args (7)) % 0.37/0.57 (step @p28 :rule arith_poly_norm :args ((= (+ @t12 @t25) @t26))) % 0.37/0.57 (step @p29 :rule arith_poly_norm :args ((= (* -1 @t10) @t25))) % 0.37/0.57 (step @p30 :rule refl :args (@t10)) % 0.37/0.57 (step @p31 :rule nary_cong :premises (@p11 @p30) :args (@t11)) % 0.37/0.57 (step @p32 :rule trans :premises (@p31 @p29)) % 0.37/0.57 (step @p33 :rule refl :args (@t12)) % 0.37/0.57 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t13)) % 0.37/0.57 (step @p35 :rule trans :premises (@p34 @p28)) % 0.37/0.57 (step @p36 :rule cong :premises (@p35 @p27) :args (@t14)) % 0.37/0.57 (step @p37 :rule trans :premises (@p36 @p26)) % 0.37/0.57 (step @p38 :rule nary_cong :premises (@p37 @p19 @p5) :args (@t15)) % 0.37/0.57 (step @p39 :rule trans :premises (@p38 @p4)) % 0.37/0.57 (step @p40 :rule cong :premises (@p39) :args (@t16)) % 0.37/0.57 (step @p41 :rule eq_resolve :premises (@p2 @p40)) % 0.37/0.57 (step @p42 :rule bool-double-not-elim :args (@t17)) % 0.37/0.57 (step @p43 :rule arith_poly_norm :args ((= (* -2 (- 1 @t30)) (* -1 (- 0 @t1))))) % 0.37/0.57 (step @p44 :rule arith_poly_norm_rel :premises (@p43) :args ((= (>= 1 @t30) @t31))) % 0.37/0.57 (step @p45 :rule arith-geq-tighten :args (tptp.a 1)) % 0.37/0.57 (step @p46 :rule trans :premises (@p45 @p44)) % 0.37/0.57 (step @p47 :rule symm :premises (@p46)) % 0.37/0.57 (step @p48 :rule cong :premises (@p47) :args ((not @t31))) % 0.37/0.57 (step @p49 :rule trans :premises (@p48 @p42)) % 0.37/0.57 (step @p50 :rule arith-elim-lt :args (0 @t1)) % 0.37/0.57 (step @p51 :rule trans :premises (@p50 @p49)) % 0.37/0.57 (step @p52 :rule bool-double-not-elim :args (@t19)) % 0.37/0.57 (step @p53 :rule evaluate :args ((+ @t32 1))) % 0.37/0.57 (step @p54 :rule symm :premises (@p53)) % 0.37/0.57 (step @p55 :rule evaluate :args ((= (to_real @t32) -7/2))) % 0.37/0.57 (step @p56 :rule arith-int-geq-tighten :premises (@p55 @p54) :args (@t18 -7/2 -3)) % 0.37/0.57 (step @p57 :rule arith_poly_norm :args ((= (* 7/2 (to_real (- 8 @t36))) (* 7/1 (- @t33 -7/2))))) % 0.37/0.57 (step @p58 :rule arith_poly_norm_rel :premises (@p57) :args ((= @t37 (>= @t33 -7/2)))) % 0.37/0.57 (step @p59 :rule trans :premises (@p58 @p56)) % 0.37/0.57 (step @p60 :rule cong :premises (@p59) :args ((not @t37))) % 0.37/0.57 (step @p61 :rule arith-leq-norm :args (8 @t35)) % 0.37/0.57 (step @p62 :rule trans :premises (@p61 @p60)) % 0.37/0.57 (step @p63 :rule arith_poly_norm :args ((= (+ @t1 @t34) @t35))) % 0.37/0.57 (step @p64 :rule arith_poly_norm :args ((= @t38 @t34))) % 0.37/0.57 (step @p65 :rule refl :args (@t1)) % 0.37/0.57 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t39)) % 0.37/0.57 (step @p67 :rule trans :premises (@p66 @p63)) % 0.37/0.57 (step @p68 :rule arith_poly_norm :args ((= @t3 @t39))) % 0.37/0.57 (step @p69 :rule trans :premises (@p68 @p67)) % 0.37/0.57 (step @p70 :rule refl :args (8)) % 0.37/0.57 (step @p71 :rule cong :premises (@p70 @p69) :args (@t40)) % 0.37/0.57 (step @p72 :rule trans :premises (@p71 @p62)) % 0.37/0.57 (step @p73 :rule cong :premises (@p72) :args ((not @t40))) % 0.37/0.57 (step @p74 :rule trans :premises (@p73 @p52)) % 0.37/0.57 (step @p75 :rule arith-elim-leq :args (8 @t3)) % 0.37/0.57 (step @p76 :rule symm :premises (@p75)) % 0.37/0.57 (step @p77 :rule cong :premises (@p76) :args ((not (>= @t3 8)))) % 0.37/0.57 (step @p78 :rule arith-elim-gt :args (8 @t3)) % 0.37/0.57 (step @p79 :rule trans :premises (@p78 @p77)) % 0.37/0.57 (step @p80 :rule trans :premises (@p79 @p74)) % 0.37/0.57 (step @p81 :rule nary_cong :premises (@p80 @p51) :args (@t4)) % 0.37/0.57 (step @p82 :rule eq_resolve :premises (@p1 @p81)) % 0.37/0.57 (step @p83 false :rule contra :premises (@p82 @p41)) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------