%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI689_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:08:08 AM UTC 2026 % Result : Theorem 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : ARI689_1 : TPTP v9.2.1. Released v6.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 21:32:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_ARI % 0.15/0.36 --- Run --finite-model-find --decision=internal at 45... % 0.15/0.36 % SZS status Theorem % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-const tptp.x Int) % 0.15/0.36 (declare-const tptp.b Int) % 0.15/0.36 (declare-const tptp.y Int) % 0.15/0.36 (declare-const tptp.a Int) % 0.15/0.36 (define @t1 () (* 98164184 tptp.y)) % 0.15/0.36 (define @t2 () (* 6472 tptp.x)) % 0.15/0.36 (define @t3 () (* tptp.y tptp.b)) % 0.15/0.36 (define @t4 () (* @t3 tptp.b)) % 0.15/0.36 (define @t5 () (- 2523496)) % 0.15/0.36 (define @t6 () (* @t5 @t4)) % 0.15/0.36 (define @t7 () (* tptp.x tptp.x)) % 0.15/0.36 (define @t8 () (* @t7 tptp.a)) % 0.15/0.36 (define @t9 () (* 2427 @t8)) % 0.15/0.36 (define @t10 () (* tptp.x tptp.b)) % 0.15/0.36 (define @t11 () (* @t10 tptp.a)) % 0.15/0.36 (define @t12 () (* 166 @t11)) % 0.15/0.36 (define @t13 () (+ (+ @t12 @t9) @t6)) % 0.15/0.36 (define @t14 () (- 1)) % 0.15/0.36 (define @t15 () (* @t14 @t13)) % 0.15/0.36 (define @t16 () (* tptp.y tptp.x)) % 0.15/0.36 (define @t17 () (* @t16 tptp.b)) % 0.15/0.36 (define @t18 () (* 1 @t17)) % 0.15/0.36 (define @t19 () (+ @t18 @t15)) % 0.15/0.36 (define @t20 () (= @t19 0)) % 0.15/0.36 (define @t21 () (not @t20)) % 0.15/0.36 (define @t22 () (* tptp.y tptp.x tptp.x)) % 0.15/0.36 (define @t23 () (* 6472 @t22)) % 0.15/0.36 (define @t24 () (* 105462887408768 @t22)) % 0.15/0.36 (define @t25 () (* 238244474568 @t22)) % 0.15/0.36 (define @t26 () (* -105701131876864 @t22)) % 0.15/0.36 (define @t27 () (* 635318598848 @t22)) % 0.15/0.36 (define @t28 () (* @t1 tptp.x @t2)) % 0.15/0.36 (define @t29 () (* 166 @t28)) % 0.15/0.36 (define @t30 () (* 98164184 @t22)) % 0.15/0.36 (define @t31 () (* @t1 tptp.x tptp.x)) % 0.15/0.36 (define @t32 () (* 2427 @t31)) % 0.15/0.36 (define @t33 () (* 41886784 @t22)) % 0.15/0.36 (define @t34 () (* tptp.y @t2 @t2)) % 0.15/0.36 (define @t35 () (* -2523496 @t34)) % 0.15/0.36 (define @t36 () (+ @t35 @t32 @t29)) % 0.15/0.36 (define @t37 () (* tptp.y tptp.x @t2)) % 0.15/0.36 (define @t38 () (= @t37 @t36)) % 0.15/0.36 (define @t39 () (* tptp.a tptp.x tptp.b)) % 0.15/0.36 (define @t40 () (* 166 @t39)) % 0.15/0.36 (define @t41 () (* tptp.a tptp.x tptp.x)) % 0.15/0.36 (define @t42 () (* 2427 @t41)) % 0.15/0.36 (define @t43 () (* tptp.y tptp.b tptp.b)) % 0.15/0.36 (define @t44 () (* -2523496 @t43)) % 0.15/0.36 (define @t45 () (+ @t44 @t42 @t40)) % 0.15/0.36 (define @t46 () (* tptp.y tptp.x tptp.b)) % 0.15/0.36 (define @t47 () (= @t46 @t45)) % 0.15/0.36 (define @t48 () (* -166 @t39)) % 0.15/0.36 (define @t49 () (* -2427 @t41)) % 0.15/0.36 (define @t50 () (* 2523496 @t43)) % 0.15/0.36 (define @t51 () (+ @t46 @t50 @t49 @t48)) % 0.15/0.36 (define @t52 () (+ @t50 @t49 @t48)) % 0.15/0.36 (define @t53 () (* tptp.x tptp.b)) % 0.15/0.36 (define @t54 () (* tptp.x tptp.x)) % 0.15/0.36 (define @t55 () (* tptp.y tptp.b)) % 0.15/0.36 (define @t56 () (+ @t6 @t9 @t12)) % 0.15/0.36 (define @t57 () (* tptp.y tptp.x)) % 0.15/0.36 (assume @p1 (= @t1 tptp.a)) % 0.15/0.36 (assume @p2 (= @t2 tptp.b)) % 0.15/0.36 (assume @p3 @t21) % 0.15/0.36 (assume @p4 true) % 0.15/0.36 (step @p5 :rule evaluate :args ((not true))) % 0.15/0.36 (step @p6 :rule eq-refl :args (@t23)) % 0.15/0.36 (step @p7 :rule arith_poly_norm :args ((= (+ @t26 @t25 @t24) @t23))) % 0.15/0.36 (step @p8 :rule arith_poly_norm :args ((= (* 166 @t27) @t24))) % 0.15/0.36 (step @p9 :rule arith_poly_norm :args ((= @t28 @t27))) % 0.15/0.36 (step @p10 :rule refl :args (166)) % 0.15/0.36 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t29)) % 0.15/0.36 (step @p12 :rule trans :premises (@p11 @p8)) % 0.15/0.36 (step @p13 :rule arith_poly_norm :args ((= (* 2427 @t30) @t25))) % 0.15/0.36 (step @p14 :rule arith_poly_norm :args ((= @t31 @t30))) % 0.15/0.36 (step @p15 :rule refl :args (2427)) % 0.15/0.36 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t32)) % 0.15/0.36 (step @p17 :rule trans :premises (@p16 @p13)) % 0.15/0.36 (step @p18 :rule arith_poly_norm :args ((= (* -2523496 @t33) @t26))) % 0.15/0.36 (step @p19 :rule arith_poly_norm :args ((= @t34 @t33))) % 0.15/0.36 (step @p20 :rule refl :args (-2523496)) % 0.15/0.36 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t35)) % 0.15/0.36 (step @p22 :rule trans :premises (@p21 @p18)) % 0.15/0.36 (step @p23 :rule nary_cong :premises (@p22 @p17 @p12) :args (@t36)) % 0.15/0.36 (step @p24 :rule trans :premises (@p23 @p7)) % 0.15/0.36 (step @p25 :rule arith_poly_norm :args ((= @t37 @t23))) % 0.15/0.36 (step @p26 :rule cong :premises (@p25 @p24) :args (@t38)) % 0.15/0.36 (step @p27 :rule trans :premises (@p26 @p6)) % 0.15/0.36 (step @p28 :rule cong :premises (@p27) :args ((not @t38))) % 0.15/0.36 (step @p29 :rule trans :premises (@p28 @p5)) % 0.15/0.36 (step @p30 :rule symm :premises (@p2)) % 0.15/0.36 (step @p31 :rule refl :args (tptp.x)) % 0.15/0.36 (step @p32 :rule symm :premises (@p1)) % 0.15/0.36 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30) :args (@t39)) % 0.15/0.36 (step @p34 :rule nary_cong :premises (@p10 @p33) :args (@t40)) % 0.15/0.36 (step @p35 :rule nary_cong :premises (@p32 @p31 @p31) :args (@t41)) % 0.15/0.36 (step @p36 :rule nary_cong :premises (@p15 @p35) :args (@t42)) % 0.15/0.36 (step @p37 :rule refl :args (tptp.y)) % 0.15/0.36 (step @p38 :rule nary_cong :premises (@p37 @p30 @p30) :args (@t43)) % 0.15/0.36 (step @p39 :rule nary_cong :premises (@p20 @p38) :args (@t44)) % 0.15/0.36 (step @p40 :rule nary_cong :premises (@p39 @p36 @p34) :args (@t45)) % 0.15/0.36 (step @p41 :rule nary_cong :premises (@p37 @p31 @p30) :args (@t46)) % 0.15/0.36 (step @p42 :rule cong :premises (@p41 @p40) :args (@t47)) % 0.15/0.36 (step @p43 :rule cong :premises (@p42) :args ((not @t47))) % 0.15/0.36 (step @p44 :rule trans :premises (@p43 @p29)) % 0.15/0.36 (step @p45 :rule arith_poly_norm :args ((= (* 1 (- @t51 0)) (* 1 (- @t46 @t45))))) % 0.15/0.36 (step @p46 :rule arith_poly_norm_rel :premises (@p45) :args ((= (= @t51 0) @t47))) % 0.15/0.36 (step @p47 :rule refl :args (0)) % 0.15/0.36 (step @p48 :rule arith_poly_norm :args ((= (+ @t46 @t52) @t51))) % 0.15/0.36 (step @p49 :rule arith_poly_norm :args ((= (* -1 @t45) @t52))) % 0.15/0.36 (step @p50 :rule arith_poly_norm :args ((= (* @t53 tptp.a) @t39))) % 0.15/0.36 (step @p51 :rule refl :args (tptp.a)) % 0.15/0.36 (step @p52 :rule arith_poly_norm :args ((= @t10 @t53))) % 0.15/0.36 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t11)) % 0.15/0.36 (step @p54 :rule trans :premises (@p53 @p50)) % 0.15/0.36 (step @p55 :rule nary_cong :premises (@p10 @p54) :args (@t12)) % 0.15/0.36 (step @p56 :rule arith_poly_norm :args ((= (* @t54 tptp.a) @t41))) % 0.15/0.36 (step @p57 :rule arith_poly_norm :args ((= @t7 @t54))) % 0.15/0.36 (step @p58 :rule nary_cong :premises (@p57 @p51) :args (@t8)) % 0.15/0.36 (step @p59 :rule trans :premises (@p58 @p56)) % 0.15/0.36 (step @p60 :rule nary_cong :premises (@p15 @p59) :args (@t9)) % 0.15/0.36 (step @p61 :rule arith_poly_norm :args ((= (* @t55 tptp.b) @t43))) % 0.15/0.36 (step @p62 :rule refl :args (tptp.b)) % 0.15/0.36 (step @p63 :rule arith_poly_norm :args ((= @t3 @t55))) % 0.15/0.36 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t4)) % 0.15/0.36 (step @p65 :rule trans :premises (@p64 @p61)) % 0.15/0.36 (step @p66 :rule evaluate :args (@t5)) % 0.15/0.36 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t6)) % 0.15/0.36 (step @p68 :rule nary_cong :premises (@p67 @p60 @p55) :args (@t56)) % 0.15/0.36 (step @p69 :rule arith_poly_norm :args ((= @t13 @t56))) % 0.15/0.36 (step @p70 :rule trans :premises (@p69 @p68)) % 0.15/0.36 (step @p71 :rule evaluate :args (@t14)) % 0.15/0.36 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t15)) % 0.15/0.36 (step @p73 :rule trans :premises (@p72 @p49)) % 0.15/0.36 (step @p74 :rule arith_poly_norm :args ((= (* 1 @t46) @t46))) % 0.15/0.36 (step @p75 :rule arith_poly_norm :args ((= (* @t57 tptp.b) @t46))) % 0.15/0.36 (step @p76 :rule arith_poly_norm :args ((= @t16 @t57))) % 0.15/0.36 (step @p77 :rule nary_cong :premises (@p76 @p62) :args (@t17)) % 0.15/0.36 (step @p78 :rule trans :premises (@p77 @p75)) % 0.15/0.36 (step @p79 :rule refl :args (1)) % 0.15/0.36 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t18)) % 0.15/0.36 (step @p81 :rule trans :premises (@p80 @p74)) % 0.15/0.36 (step @p82 :rule nary_cong :premises (@p81 @p73) :args (@t19)) % 0.15/0.36 (step @p83 :rule trans :premises (@p82 @p48)) % 0.15/0.36 (step @p84 :rule cong :premises (@p83 @p47) :args (@t20)) % 0.15/0.36 (step @p85 :rule trans :premises (@p84 @p46)) % 0.15/0.36 (step @p86 :rule cong :premises (@p85) :args (@t21)) % 0.15/0.36 (step @p87 :rule eq_resolve :premises (@p3 @p86)) % 0.15/0.36 (step @p88 false :rule eq_resolve :premises (@p87 @p44)) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------