%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI180_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 : n002.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 08:07:14 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI180_1 : TPTP v9.2.1. Released v5.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n002.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 02:26:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_ARI % 0.38/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-const tptp.f (-> Int Int)) % 0.38/0.56 (define @t1 () (tptp.f 0)) % 0.38/0.56 (define @t2 () (@var "V" Int)) % 0.38/0.56 (define @t3 () (= @t2 @t1)) % 0.38/0.56 (define @t4 () (@var "U" Int)) % 0.38/0.56 (define @t5 () (tptp.f @t4)) % 0.38/0.56 (define @t6 () (- @t2 @t5)) % 0.38/0.56 (define @t7 () (= @t6 0)) % 0.38/0.56 (define @t8 () (+ @t4 @t2)) % 0.38/0.56 (define @t9 () (= @t8 @t5)) % 0.38/0.56 (define @t10 () (and @t9 @t7)) % 0.38/0.56 (define @t11 () (=> @t10 @t3)) % 0.38/0.56 (define @t12 () (@list @t4 @t2)) % 0.38/0.56 (define @t13 () (forall @t12 @t11)) % 0.38/0.56 (define @t14 () (not @t13)) % 0.38/0.56 (define @t15 () (= 0 0)) % 0.38/0.56 (define @t16 () (* -1 @t1)) % 0.38/0.56 (define @t17 () (+ @t1 @t16)) % 0.38/0.56 (define @t18 () (= 0 @t17)) % 0.38/0.56 (define @t19 () (not @t15)) % 0.38/0.56 (define @t20 () (or @t19 @t18)) % 0.38/0.56 (define @t21 () (+ @t5 @t16)) % 0.38/0.56 (define @t22 () (= @t4 @t21)) % 0.38/0.56 (define @t23 () (= @t4 0)) % 0.38/0.56 (define @t24 () (not @t23)) % 0.38/0.56 (define @t25 () (or @t24 @t24 @t22)) % 0.38/0.56 (define @t26 () (@list @t4)) % 0.38/0.56 (define @t27 () (or @t24 @t22)) % 0.38/0.56 (define @t28 () (+ (* -1 @t4) @t5)) % 0.38/0.56 (define @t29 () (* -1 @t5)) % 0.38/0.56 (define @t30 () (+ @t4 @t29)) % 0.38/0.56 (define @t31 () (* -1 @t30)) % 0.38/0.56 (define @t32 () (= @t31 @t1)) % 0.38/0.56 (define @t33 () (= @t31 @t5)) % 0.38/0.56 (define @t34 () (not @t33)) % 0.38/0.56 (define @t35 () (* -1 @t31)) % 0.38/0.56 (define @t36 () (+ @t35 @t5)) % 0.38/0.56 (define @t37 () (= @t4 @t36)) % 0.38/0.56 (define @t38 () (not @t37)) % 0.38/0.56 (define @t39 () (or @t38 @t34 @t32)) % 0.38/0.56 (define @t40 () (= @t2 @t5)) % 0.38/0.56 (define @t41 () (not @t40)) % 0.38/0.56 (define @t42 () (+ (* -1 @t2) @t5)) % 0.38/0.56 (define @t43 () (= @t4 @t42)) % 0.38/0.56 (define @t44 () (not @t43)) % 0.38/0.56 (define @t45 () (= @t2 @t31)) % 0.38/0.56 (define @t46 () (@list @t2)) % 0.38/0.56 (define @t47 () (* 1 (- @t4 @t42))) % 0.38/0.56 (define @t48 () (or @t44 @t44 @t41 @t3)) % 0.38/0.56 (define @t49 () (or @t44 @t41 @t3)) % 0.38/0.56 (define @t50 () (forall @t46 @t49)) % 0.38/0.56 (define @t51 () (forall @t26 @t50)) % 0.38/0.56 (define @t52 () (and @t43 @t40)) % 0.38/0.56 (define @t53 () (+ @t2 @t29)) % 0.38/0.56 (assume @p1 @t14) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule evaluate :args ((not true))) % 0.38/0.56 (step @p4 :rule evaluate :args ((or false true))) % 0.38/0.56 (step @p5 :rule evaluate :args (@t15)) % 0.38/0.56 (step @p6 :rule arith_poly_norm :args ((= @t17 0))) % 0.38/0.56 (step @p7 :rule refl :args (0)) % 0.38/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args (@t18)) % 0.38/0.56 (step @p9 :rule trans :premises (@p8 @p5)) % 0.38/0.56 (step @p10 :rule cong :premises (@p5) :args (@t19)) % 0.38/0.56 (step @p11 :rule trans :premises (@p10 @p3)) % 0.38/0.56 (step @p12 :rule nary_cong :premises (@p11 @p9) :args (@t20)) % 0.38/0.56 (step @p13 :rule trans :premises (@p12 @p4)) % 0.38/0.56 (step @p14 :rule quant-var-elim-eq :args ((= (forall @t26 @t25) @t20))) % 0.38/0.56 (step @p15 :rule aci_norm :args ((= @t27 @t25))) % 0.38/0.56 (step @p16 :rule cong :premises (@p15) :args ((forall @t26 @t27))) % 0.38/0.56 (step @p17 :rule trans :premises (@p16 @p14)) % 0.38/0.56 (step @p18 :rule trans :premises (@p17 @p13)) % 0.38/0.56 (step @p19 :rule aci_norm :args ((= (or false @t24 @t22) @t27))) % 0.38/0.56 (step @p20 :rule arith_poly_norm :args ((= (* 1 (- @t28 @t1)) (* -1 (- @t4 @t21))))) % 0.38/0.56 (step @p21 :rule arith_poly_norm_rel :premises (@p20) :args ((= (= @t28 @t1) @t22))) % 0.38/0.56 (step @p22 :rule refl :args (@t1)) % 0.38/0.56 (step @p23 :rule arith_poly_norm :args ((= @t31 @t28))) % 0.38/0.56 (step @p24 :rule cong :premises (@p23 @p22) :args (@t32)) % 0.38/0.56 (step @p25 :rule trans :premises (@p24 @p21)) % 0.38/0.56 (step @p26 :rule arith_poly_norm :args ((= (* 1 (- @t28 @t5)) (* -1 (- @t4 0))))) % 0.38/0.56 (step @p27 :rule arith_poly_norm_rel :premises (@p26) :args ((= (= @t28 @t5) @t23))) % 0.38/0.56 (step @p28 :rule refl :args (@t5)) % 0.38/0.56 (step @p29 :rule cong :premises (@p23 @p28) :args (@t33)) % 0.38/0.56 (step @p30 :rule trans :premises (@p29 @p27)) % 0.38/0.56 (step @p31 :rule cong :premises (@p30) :args (@t34)) % 0.38/0.56 (step @p32 :rule eq-refl :args (@t4)) % 0.38/0.56 (step @p33 :rule arith_poly_norm :args ((= (+ @t30 @t5) @t4))) % 0.38/0.56 (step @p34 :rule arith_poly_norm :args ((= (* -1 @t28) @t30))) % 0.38/0.56 (step @p35 :rule refl :args (-1)) % 0.38/0.56 (step @p36 :rule nary_cong :premises (@p35 @p23) :args (@t35)) % 0.38/0.56 (step @p37 :rule trans :premises (@p36 @p34)) % 0.38/0.56 (step @p38 :rule nary_cong :premises (@p37 @p28) :args (@t36)) % 0.38/0.56 (step @p39 :rule trans :premises (@p38 @p33)) % 0.38/0.56 (step @p40 :rule refl :args (@t4)) % 0.38/0.56 (step @p41 :rule cong :premises (@p40 @p39) :args (@t37)) % 0.38/0.56 (step @p42 :rule trans :premises (@p41 @p32)) % 0.38/0.56 (step @p43 :rule cong :premises (@p42) :args (@t38)) % 0.38/0.56 (step @p44 :rule trans :premises (@p43 @p3)) % 0.38/0.56 (step @p45 :rule nary_cong :premises (@p44 @p31 @p25) :args (@t39)) % 0.38/0.56 (step @p46 :rule trans :premises (@p45 @p19)) % 0.38/0.56 (step @p47 :rule cong :premises (@p46) :args ((forall @t26 @t39))) % 0.38/0.56 (step @p48 :rule trans :premises (@p47 @p18)) % 0.38/0.56 (step @p49 :rule quant-var-elim-eq :args ((= (forall @t46 (or (not @t45) @t44 @t41 @t3)) @t39))) % 0.38/0.56 (step @p50 :rule refl :args (@t3)) % 0.38/0.56 (step @p51 :rule refl :args (@t41)) % 0.38/0.56 (step @p52 :rule refl :args (@t44)) % 0.38/0.56 (step @p53 :rule arith_poly_norm :args ((= @t47 (* 1 (- @t2 @t31))))) % 0.38/0.56 (step @p54 :rule arith_poly_norm_rel :premises (@p53) :args ((= @t43 @t45))) % 0.38/0.56 (step @p55 :rule cong :premises (@p54) :args (@t44)) % 0.38/0.56 (step @p56 :rule nary_cong :premises (@p55 @p52 @p51 @p50) :args (@t48)) % 0.38/0.56 (step @p57 :rule aci_norm :args ((= @t49 @t48))) % 0.38/0.56 (step @p58 :rule trans :premises (@p57 @p56)) % 0.38/0.56 (step @p59 :rule cong :premises (@p58) :args (@t50)) % 0.38/0.56 (step @p60 :rule trans :premises (@p59 @p49)) % 0.38/0.56 (step @p61 :rule cong :premises (@p60) :args (@t51)) % 0.38/0.56 (step @p62 :rule quant-merge-prenex :args ((= @t51 (forall @t12 @t49)))) % 0.38/0.56 (step @p63 :rule symm :premises (@p62)) % 0.38/0.56 (step @p64 :rule trans :premises (@p63 @p61)) % 0.38/0.56 (step @p65 :rule trans :premises (@p64 @p48)) % 0.38/0.56 (step @p66 :rule aci_norm :args ((= (or (or @t44 @t41) @t3) @t49))) % 0.38/0.56 (step @p67 :rule bool-and-de-morgan :args (@t43 @t40 true)) % 0.38/0.56 (step @p68 :rule nary_cong :premises (@p67 @p50) :args ((or (not @t52) @t3))) % 0.38/0.56 (step @p69 :rule trans :premises (@p68 @p66)) % 0.38/0.56 (step @p70 :rule bool-impl-elim :args (@t52 @t3)) % 0.38/0.56 (step @p71 :rule trans :premises (@p70 @p69)) % 0.38/0.56 (step @p72 :rule cong :premises (@p71) :args ((forall @t12 (=> @t52 @t3)))) % 0.38/0.56 (step @p73 :rule trans :premises (@p72 @p65)) % 0.38/0.56 (step @p74 :rule refl :args (@t3)) % 0.38/0.56 (step @p75 :rule arith_poly_norm :args ((= (* 1 (- @t53 0)) (* 1 @t6)))) % 0.38/0.56 (step @p76 :rule arith_poly_norm_rel :premises (@p75) :args ((= (= @t53 0) @t40))) % 0.38/0.56 (step @p77 :rule arith_poly_norm :args ((= @t6 @t53))) % 0.38/0.56 (step @p78 :rule cong :premises (@p77 @p7) :args (@t7)) % 0.38/0.56 (step @p79 :rule trans :premises (@p78 @p76)) % 0.38/0.56 (step @p80 :rule arith_poly_norm :args ((= (* 1 (- @t8 @t5)) @t47))) % 0.38/0.56 (step @p81 :rule arith_poly_norm_rel :premises (@p80) :args ((= @t9 @t43))) % 0.38/0.56 (step @p82 :rule nary_cong :premises (@p81 @p79) :args (@t10)) % 0.38/0.56 (step @p83 :rule cong :premises (@p82 @p74) :args (@t11)) % 0.38/0.56 (step @p84 :rule cong :premises (@p83) :args (@t13)) % 0.38/0.56 (step @p85 :rule trans :premises (@p84 @p73)) % 0.38/0.56 (step @p86 :rule cong :premises (@p85) :args (@t14)) % 0.38/0.56 (step @p87 :rule trans :premises (@p86 @p3)) % 0.38/0.56 (step @p88 false :rule eq_resolve :premises (@p1 @p87)) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------