%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI178_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 : n005.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 0.34s 0.56s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI178_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 % 0.18/0.35 % Computer : n005.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:26:03 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.50 %----Proving TF0_ARI % 0.34/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.34/0.56 % SZS status Theorem % 0.34/0.56 % SZS output start Proof % 0.34/0.56 ( % 0.34/0.56 (define @t1 () (@var "W" Int)) % 0.34/0.56 (define @t2 () (not (= @t1 0))) % 0.34/0.56 (define @t3 () (@var "V" Int)) % 0.34/0.56 (define @t4 () (* 2 @t3)) % 0.34/0.56 (define @t5 () (@var "U" Int)) % 0.34/0.56 (define @t6 () (+ (+ @t5 @t4) @t1)) % 0.34/0.56 (define @t7 () (= @t6 10)) % 0.34/0.56 (define @t8 () (* 2 @t5)) % 0.34/0.56 (define @t9 () (+ (+ @t8 @t3) @t1)) % 0.34/0.56 (define @t10 () (= @t9 10)) % 0.34/0.56 (define @t11 () (and @t10 @t7)) % 0.34/0.56 (define @t12 () (=> @t11 @t2)) % 0.34/0.56 (define @t13 () (@list @t5 @t3 @t1)) % 0.34/0.56 (define @t14 () (forall @t13 @t12)) % 0.34/0.56 (define @t15 () (not @t14)) % 0.34/0.56 (define @t16 () (@list @t5)) % 0.34/0.56 (define @t17 () (* -1 @t5)) % 0.34/0.56 (define @t18 () (to_real @t17)) % 0.34/0.56 (define @t19 () (to_real 0)) % 0.34/0.56 (define @t20 () (+ 10 (* -3 @t5))) % 0.34/0.56 (define @t21 () (to_real @t20)) % 0.34/0.56 (define @t22 () (- @t21 @t19)) % 0.34/0.56 (define @t23 () (= @t21 @t19)) % 0.34/0.56 (define @t24 () (= @t20 0)) % 0.34/0.56 (define @t25 () (not @t24)) % 0.34/0.56 (define @t26 () (not (= @t20 @t20))) % 0.34/0.56 (define @t27 () (or @t26 @t25)) % 0.34/0.56 (define @t28 () (= @t1 @t20)) % 0.34/0.56 (define @t29 () (not @t28)) % 0.34/0.56 (define @t30 () (or @t29 @t29 @t2)) % 0.34/0.56 (define @t31 () (@list @t1)) % 0.34/0.56 (define @t32 () (or @t29 @t2)) % 0.34/0.56 (define @t33 () (forall @t31 @t32)) % 0.34/0.56 (define @t34 () (forall @t16 @t33)) % 0.34/0.56 (define @t35 () (@list @t5 @t1)) % 0.34/0.56 (define @t36 () (* 4 @t5)) % 0.34/0.56 (define @t37 () (+ -10 @t36 @t1)) % 0.34/0.56 (define @t38 () (* -1 @t1)) % 0.34/0.56 (define @t39 () (+ -20 @t36 (* 2 @t1))) % 0.34/0.56 (define @t40 () (+ 10 (* -2 @t5) @t38)) % 0.34/0.56 (define @t41 () (* -2 @t40)) % 0.34/0.56 (define @t42 () (+ 10 @t41 @t38)) % 0.34/0.56 (define @t43 () (= @t5 @t42)) % 0.34/0.56 (define @t44 () (not @t43)) % 0.34/0.56 (define @t45 () (not (= @t40 @t40))) % 0.34/0.56 (define @t46 () (or @t45 @t44 @t2)) % 0.34/0.56 (define @t47 () (+ 10 (* -2 @t3) @t38)) % 0.34/0.56 (define @t48 () (= @t5 @t47)) % 0.34/0.56 (define @t49 () (not @t48)) % 0.34/0.56 (define @t50 () (= @t3 @t40)) % 0.34/0.56 (define @t51 () (not @t50)) % 0.34/0.56 (define @t52 () (or @t51 @t51 @t49 @t2)) % 0.34/0.56 (define @t53 () (@list @t3)) % 0.34/0.56 (define @t54 () (or @t51 @t49 @t2)) % 0.34/0.56 (define @t55 () (forall @t53 @t54)) % 0.34/0.56 (define @t56 () (forall @t35 @t55)) % 0.34/0.56 (define @t57 () (forall (@list @t5 @t1 @t3) @t54)) % 0.34/0.56 (define @t58 () (and @t50 @t48)) % 0.34/0.56 (define @t59 () (+ @t5 @t4 @t1)) % 0.34/0.56 (define @t60 () (+ @t4 @t1 @t5)) % 0.34/0.56 (define @t61 () (+ @t8 @t3 @t1)) % 0.34/0.56 (define @t62 () (+ @t8 @t1 @t3)) % 0.34/0.56 (assume @p1 @t15) % 0.34/0.56 (assume @p2 true) % 0.34/0.56 (step @p3 :rule evaluate :args ((not true))) % 0.34/0.56 (step @p4 :rule quant-unused-vars :args ((= (forall @t16 true) true))) % 0.34/0.56 (step @p5 :rule evaluate :args ((or false true))) % 0.34/0.56 (step @p6 :rule evaluate :args ((not false))) % 0.34/0.56 (step @p7 :rule evaluate :args ((= (to_real (to_int -10/3)) -10/3))) % 0.34/0.56 (step @p8 :rule arith-int-eq-conflict :premises (@p7) :args (@t17 -10/3)) % 0.34/0.56 (step @p9 :rule arith_poly_norm :args ((= (* 10/3 @t22) (* 10/1 (- @t18 -10/3))))) % 0.34/0.56 (step @p10 :rule arith_poly_norm_rel :premises (@p9) :args ((= @t23 (= @t18 -10/3)))) % 0.34/0.56 (step @p11 :rule arith_poly_norm :args ((= (* 10/1 (to_real (- @t20 0))) (* 10/1 @t22)))) % 0.34/0.56 (step @p12 :rule arith_poly_norm_rel :premises (@p11) :args ((= @t24 @t23))) % 0.34/0.56 (step @p13 :rule trans :premises (@p12 @p10 @p8)) % 0.34/0.56 (step @p14 :rule cong :premises (@p13) :args (@t25)) % 0.34/0.56 (step @p15 :rule trans :premises (@p14 @p6)) % 0.34/0.56 (step @p16 :rule eq-refl :args (@t20)) % 0.34/0.56 (step @p17 :rule cong :premises (@p16) :args (@t26)) % 0.34/0.56 (step @p18 :rule trans :premises (@p17 @p3)) % 0.34/0.56 (step @p19 :rule nary_cong :premises (@p18 @p15) :args (@t27)) % 0.34/0.56 (step @p20 :rule trans :premises (@p19 @p5)) % 0.34/0.56 (step @p21 :rule cong :premises (@p20) :args ((forall @t16 @t27))) % 0.34/0.56 (step @p22 :rule trans :premises (@p21 @p4)) % 0.34/0.56 (step @p23 :rule quant-var-elim-eq :args ((= (forall @t31 @t30) @t27))) % 0.34/0.56 (step @p24 :rule aci_norm :args ((= @t32 @t30))) % 0.34/0.56 (step @p25 :rule cong :premises (@p24) :args (@t33)) % 0.34/0.56 (step @p26 :rule trans :premises (@p25 @p23)) % 0.34/0.56 (step @p27 :rule cong :premises (@p26) :args (@t34)) % 0.34/0.56 (step @p28 :rule quant-merge-prenex :args ((= @t34 (forall @t35 @t32)))) % 0.34/0.56 (step @p29 :rule symm :premises (@p28)) % 0.34/0.56 (step @p30 :rule trans :premises (@p29 @p27)) % 0.34/0.56 (step @p31 :rule trans :premises (@p30 @p22)) % 0.34/0.56 (step @p32 :rule aci_norm :args ((= (or false @t29 @t2) @t32))) % 0.34/0.56 (step @p33 :rule refl :args (@t2)) % 0.34/0.56 (step @p34 :rule arith_poly_norm :args ((= (* -10 (- @t5 @t37)) (* 10 (- @t1 @t20))))) % 0.34/0.56 (step @p35 :rule arith_poly_norm_rel :premises (@p34) :args ((= (= @t5 @t37) @t28))) % 0.34/0.57 (step @p36 :rule arith_poly_norm :args ((= (+ 10 @t39 @t38) @t37))) % 0.34/0.57 (step @p37 :rule refl :args (@t38)) % 0.34/0.57 (step @p38 :rule arith_poly_norm :args ((= @t41 @t39))) % 0.34/0.57 (step @p39 :rule refl :args (10)) % 0.34/0.57 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37) :args (@t42)) % 0.34/0.57 (step @p41 :rule trans :premises (@p40 @p36)) % 0.34/0.57 (step @p42 :rule refl :args (@t5)) % 0.34/0.57 (step @p43 :rule cong :premises (@p42 @p41) :args (@t43)) % 0.34/0.57 (step @p44 :rule trans :premises (@p43 @p35)) % 0.34/0.57 (step @p45 :rule cong :premises (@p44) :args (@t44)) % 0.34/0.57 (step @p46 :rule eq-refl :args (@t40)) % 0.34/0.57 (step @p47 :rule cong :premises (@p46) :args (@t45)) % 0.34/0.57 (step @p48 :rule trans :premises (@p47 @p3)) % 0.34/0.57 (step @p49 :rule nary_cong :premises (@p48 @p45 @p33) :args (@t46)) % 0.34/0.57 (step @p50 :rule trans :premises (@p49 @p32)) % 0.34/0.57 (step @p51 :rule cong :premises (@p50) :args ((forall @t35 @t46))) % 0.34/0.57 (step @p52 :rule trans :premises (@p51 @p31)) % 0.34/0.57 (step @p53 :rule quant-var-elim-eq :args ((= (forall @t53 @t52) @t46))) % 0.34/0.57 (step @p54 :rule aci_norm :args ((= @t54 @t52))) % 0.34/0.57 (step @p55 :rule cong :premises (@p54) :args (@t55)) % 0.34/0.57 (step @p56 :rule trans :premises (@p55 @p53)) % 0.34/0.57 (step @p57 :rule cong :premises (@p56) :args (@t56)) % 0.34/0.57 (step @p58 :rule quant-merge-prenex :args ((= @t56 @t57))) % 0.34/0.57 (step @p59 :rule symm :premises (@p58)) % 0.34/0.57 (step @p60 :rule quant_var_reordering :args ((= (forall @t13 @t54) @t57))) % 0.34/0.57 (step @p61 :rule trans :premises (@p60 @p59 @p57)) % 0.34/0.57 (step @p62 :rule trans :premises (@p61 @p52)) % 0.34/0.57 (step @p63 :rule aci_norm :args ((= (or (or @t51 @t49) @t2) @t54))) % 0.34/0.57 (step @p64 :rule refl :args (@t2)) % 0.34/0.57 (step @p65 :rule bool-and-de-morgan :args (@t50 @t48 true)) % 0.34/0.57 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t58) @t2))) % 0.34/0.57 (step @p67 :rule trans :premises (@p66 @p63)) % 0.34/0.57 (step @p68 :rule bool-impl-elim :args (@t58 @t2)) % 0.34/0.57 (step @p69 :rule trans :premises (@p68 @p67)) % 0.34/0.57 (step @p70 :rule cong :premises (@p69) :args ((forall @t13 (=> @t58 @t2)))) % 0.34/0.57 (step @p71 :rule trans :premises (@p70 @p62)) % 0.34/0.57 (step @p72 :rule arith_poly_norm :args ((= (* -10 (- @t59 10)) (* -10 (- @t5 @t47))))) % 0.34/0.57 (step @p73 :rule arith_poly_norm_rel :premises (@p72) :args ((= (= @t59 10) @t48))) % 0.34/0.57 (step @p74 :rule arith_poly_norm :args ((= @t60 @t59))) % 0.34/0.57 (step @p75 :rule arith_poly_norm :args ((= @t6 @t60))) % 0.34/0.57 (step @p76 :rule trans :premises (@p75 @p74)) % 0.34/0.57 (step @p77 :rule cong :premises (@p76 @p39) :args (@t7)) % 0.34/0.57 (step @p78 :rule trans :premises (@p77 @p73)) % 0.34/0.57 (step @p79 :rule arith_poly_norm :args ((= (* -10 (- @t61 10)) (* -10 (- @t3 @t40))))) % 0.34/0.57 (step @p80 :rule arith_poly_norm_rel :premises (@p79) :args ((= (= @t61 10) @t50))) % 0.34/0.57 (step @p81 :rule arith_poly_norm :args ((= @t62 @t61))) % 0.34/0.57 (step @p82 :rule arith_poly_norm :args ((= @t9 @t62))) % 0.34/0.57 (step @p83 :rule trans :premises (@p82 @p81)) % 0.34/0.57 (step @p84 :rule cong :premises (@p83 @p39) :args (@t10)) % 0.34/0.57 (step @p85 :rule trans :premises (@p84 @p80)) % 0.34/0.57 (step @p86 :rule nary_cong :premises (@p85 @p78) :args (@t11)) % 0.34/0.57 (step @p87 :rule cong :premises (@p86 @p33) :args (@t12)) % 0.34/0.57 (step @p88 :rule cong :premises (@p87) :args (@t14)) % 0.34/0.57 (step @p89 :rule trans :premises (@p88 @p71)) % 0.34/0.57 (step @p90 :rule cong :premises (@p89) :args (@t15)) % 0.34/0.57 (step @p91 :rule trans :premises (@p90 @p3)) % 0.34/0.57 (step @p92 false :rule eq_resolve :premises (@p1 @p91)) % 0.34/0.57 ) % 0.34/0.57 % SZS output end Proof % 0.34/0.57 % cvc5 exiting %------------------------------------------------------------------------------