%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI122_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 : n013.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 08:07:11 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 : ARI122_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 : n013.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 02:25:45 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----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 (define @t1 () (@var "Z4" Int)) % 0.38/0.56 (define @t2 () (@var "Z2" Int)) % 0.38/0.56 (define @t3 () (= @t2 @t1)) % 0.38/0.56 (define @t4 () (@var "Z3" Int)) % 0.38/0.56 (define @t5 () (* 2 @t4)) % 0.38/0.56 (define @t6 () (= @t5 @t1)) % 0.38/0.56 (define @t7 () (* 3 6)) % 0.38/0.56 (define @t8 () (= @t7 @t4)) % 0.38/0.56 (define @t9 () (@var "Z1" Int)) % 0.38/0.56 (define @t10 () (* @t9 6)) % 0.38/0.56 (define @t11 () (= @t10 @t2)) % 0.38/0.56 (define @t12 () (* 2 3)) % 0.38/0.56 (define @t13 () (= @t12 @t9)) % 0.38/0.56 (define @t14 () (and @t13 @t11 @t8 @t6)) % 0.38/0.56 (define @t15 () (=> @t14 @t3)) % 0.38/0.56 (define @t16 () (@list @t9 @t2 @t4 @t1)) % 0.38/0.56 (define @t17 () (forall @t16 @t15)) % 0.38/0.56 (define @t18 () (not @t17)) % 0.38/0.56 (define @t19 () (@list @t1)) % 0.38/0.56 (define @t20 () (= @t1 36)) % 0.38/0.56 (define @t21 () (not @t20)) % 0.38/0.56 (define @t22 () (or @t21 @t20)) % 0.38/0.56 (define @t23 () (* 2 18)) % 0.38/0.56 (define @t24 () (= @t1 @t23)) % 0.38/0.56 (define @t25 () (not @t24)) % 0.38/0.56 (define @t26 () (= 18 18)) % 0.38/0.56 (define @t27 () (not @t26)) % 0.38/0.56 (define @t28 () (or @t27 @t25 @t20)) % 0.38/0.56 (define @t29 () (= @t1 @t5)) % 0.38/0.56 (define @t30 () (not @t29)) % 0.38/0.56 (define @t31 () (= @t4 18)) % 0.38/0.56 (define @t32 () (not @t31)) % 0.38/0.56 (define @t33 () (or @t32 @t32 @t30 @t20)) % 0.38/0.56 (define @t34 () (@list @t4)) % 0.38/0.56 (define @t35 () (or @t32 @t30 @t20)) % 0.38/0.56 (define @t36 () (forall @t34 @t35)) % 0.38/0.56 (define @t37 () (forall @t19 @t36)) % 0.38/0.56 (define @t38 () (forall (@list @t1 @t4) @t35)) % 0.38/0.56 (define @t39 () (@list @t4 @t1)) % 0.38/0.56 (define @t40 () (= 36 @t1)) % 0.38/0.56 (define @t41 () (= 36 36)) % 0.38/0.56 (define @t42 () (not @t41)) % 0.38/0.56 (define @t43 () (or @t42 @t32 @t30 @t40)) % 0.38/0.56 (define @t44 () (not (= @t2 36))) % 0.38/0.56 (define @t45 () (or @t44 @t44 @t32 @t30 @t3)) % 0.38/0.56 (define @t46 () (@list @t2)) % 0.38/0.56 (define @t47 () (or @t44 @t32 @t30 @t3)) % 0.38/0.56 (define @t48 () (forall @t46 @t47)) % 0.38/0.56 (define @t49 () (forall @t39 @t48)) % 0.38/0.56 (define @t50 () (forall (@list @t4 @t1 @t2) @t47)) % 0.38/0.56 (define @t51 () (@list @t2 @t4 @t1)) % 0.38/0.56 (define @t52 () (* 6 6)) % 0.38/0.56 (define @t53 () (= @t2 @t52)) % 0.38/0.56 (define @t54 () (not @t53)) % 0.38/0.56 (define @t55 () (= 6 6)) % 0.38/0.56 (define @t56 () (not @t55)) % 0.38/0.56 (define @t57 () (or @t56 @t54 @t32 @t30 @t3)) % 0.38/0.56 (define @t58 () (* 6 @t9)) % 0.38/0.56 (define @t59 () (= @t2 @t58)) % 0.38/0.56 (define @t60 () (not @t59)) % 0.38/0.56 (define @t61 () (= @t9 6)) % 0.38/0.56 (define @t62 () (not @t61)) % 0.38/0.56 (define @t63 () (or @t62 @t62 @t60 @t32 @t30 @t3)) % 0.38/0.56 (define @t64 () (@list @t9)) % 0.38/0.56 (define @t65 () (or @t62 @t60 @t32 @t30 @t3)) % 0.38/0.56 (define @t66 () (forall @t64 @t65)) % 0.38/0.56 (define @t67 () (forall @t51 @t66)) % 0.38/0.56 (define @t68 () (forall (@list @t2 @t4 @t1 @t9) @t65)) % 0.38/0.56 (define @t69 () (or @t62 @t60 @t32 @t30)) % 0.38/0.56 (define @t70 () (and @t61 @t59 @t31 @t29)) % 0.38/0.56 (assume @p1 @t18) % 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 quant-unused-vars :args ((= (forall @t19 true) true))) % 0.38/0.56 (step @p5 :rule bool-or-taut2 :args (false @t20 false false)) % 0.38/0.56 (step @p6 :rule cong :premises (@p5) :args ((forall @t19 @t22))) % 0.38/0.56 (step @p7 :rule trans :premises (@p6 @p4)) % 0.38/0.56 (step @p8 :rule aci_norm :args ((= (or false @t21 @t20) @t22))) % 0.38/0.56 (step @p9 :rule refl :args (@t20)) % 0.38/0.56 (step @p10 :rule evaluate :args (@t23)) % 0.38/0.56 (step @p11 :rule refl :args (@t1)) % 0.38/0.56 (step @p12 :rule cong :premises (@p11 @p10) :args (@t24)) % 0.38/0.56 (step @p13 :rule cong :premises (@p12) :args (@t25)) % 0.38/0.56 (step @p14 :rule evaluate :args (@t26)) % 0.38/0.56 (step @p15 :rule cong :premises (@p14) :args (@t27)) % 0.38/0.56 (step @p16 :rule trans :premises (@p15 @p3)) % 0.38/0.56 (step @p17 :rule nary_cong :premises (@p16 @p13 @p9) :args (@t28)) % 0.38/0.56 (step @p18 :rule trans :premises (@p17 @p8)) % 0.38/0.56 (step @p19 :rule cong :premises (@p18) :args ((forall @t19 @t28))) % 0.38/0.56 (step @p20 :rule trans :premises (@p19 @p7)) % 0.38/0.56 (step @p21 :rule quant-var-elim-eq :args ((= (forall @t34 @t33) @t28))) % 0.38/0.56 (step @p22 :rule aci_norm :args ((= @t35 @t33))) % 0.38/0.56 (step @p23 :rule cong :premises (@p22) :args (@t36)) % 0.38/0.56 (step @p24 :rule trans :premises (@p23 @p21)) % 0.38/0.56 (step @p25 :rule cong :premises (@p24) :args (@t37)) % 0.38/0.56 (step @p26 :rule quant-merge-prenex :args ((= @t37 @t38))) % 0.38/0.56 (step @p27 :rule symm :premises (@p26)) % 0.38/0.56 (step @p28 :rule quant_var_reordering :args ((= (forall @t39 @t35) @t38))) % 0.38/0.56 (step @p29 :rule trans :premises (@p28 @p27 @p25)) % 0.38/0.56 (step @p30 :rule trans :premises (@p29 @p20)) % 0.38/0.56 (step @p31 :rule aci_norm :args ((= (or false @t32 @t30 @t20) @t35))) % 0.38/0.56 (step @p32 :rule arith_poly_norm :args ((= (* -36 (- 36 @t1)) (* 36 (- @t1 36))))) % 0.38/0.56 (step @p33 :rule arith_poly_norm_rel :premises (@p32) :args ((= @t40 @t20))) % 0.38/0.56 (step @p34 :rule refl :args (@t30)) % 0.38/0.56 (step @p35 :rule refl :args (@t32)) % 0.38/0.56 (step @p36 :rule evaluate :args (@t41)) % 0.38/0.56 (step @p37 :rule cong :premises (@p36) :args (@t42)) % 0.38/0.56 (step @p38 :rule trans :premises (@p37 @p3)) % 0.38/0.56 (step @p39 :rule nary_cong :premises (@p38 @p35 @p34 @p33) :args (@t43)) % 0.38/0.56 (step @p40 :rule trans :premises (@p39 @p31)) % 0.38/0.56 (step @p41 :rule cong :premises (@p40) :args ((forall @t39 @t43))) % 0.38/0.56 (step @p42 :rule trans :premises (@p41 @p30)) % 0.38/0.56 (step @p43 :rule quant-var-elim-eq :args ((= (forall @t46 @t45) @t43))) % 0.38/0.56 (step @p44 :rule aci_norm :args ((= @t47 @t45))) % 0.38/0.56 (step @p45 :rule cong :premises (@p44) :args (@t48)) % 0.38/0.56 (step @p46 :rule trans :premises (@p45 @p43)) % 0.38/0.56 (step @p47 :rule cong :premises (@p46) :args (@t49)) % 0.38/0.56 (step @p48 :rule quant-merge-prenex :args ((= @t49 @t50))) % 0.38/0.56 (step @p49 :rule symm :premises (@p48)) % 0.38/0.56 (step @p50 :rule quant_var_reordering :args ((= (forall @t51 @t47) @t50))) % 0.38/0.56 (step @p51 :rule trans :premises (@p50 @p49 @p47)) % 0.38/0.56 (step @p52 :rule trans :premises (@p51 @p42)) % 0.38/0.56 (step @p53 :rule aci_norm :args ((= (or false @t44 @t32 @t30 @t3) @t47))) % 0.38/0.56 (step @p54 :rule refl :args (@t3)) % 0.38/0.56 (step @p55 :rule evaluate :args (@t52)) % 0.38/0.56 (step @p56 :rule refl :args (@t2)) % 0.38/0.56 (step @p57 :rule cong :premises (@p56 @p55) :args (@t53)) % 0.38/0.56 (step @p58 :rule cong :premises (@p57) :args (@t54)) % 0.38/0.56 (step @p59 :rule evaluate :args (@t55)) % 0.38/0.56 (step @p60 :rule cong :premises (@p59) :args (@t56)) % 0.38/0.56 (step @p61 :rule trans :premises (@p60 @p3)) % 0.38/0.56 (step @p62 :rule nary_cong :premises (@p61 @p58 @p35 @p34 @p54) :args (@t57)) % 0.38/0.56 (step @p63 :rule trans :premises (@p62 @p53)) % 0.38/0.56 (step @p64 :rule cong :premises (@p63) :args ((forall @t51 @t57))) % 0.38/0.56 (step @p65 :rule trans :premises (@p64 @p52)) % 0.38/0.56 (step @p66 :rule quant-var-elim-eq :args ((= (forall @t64 @t63) @t57))) % 0.38/0.56 (step @p67 :rule aci_norm :args ((= @t65 @t63))) % 0.38/0.56 (step @p68 :rule cong :premises (@p67) :args (@t66)) % 0.38/0.56 (step @p69 :rule trans :premises (@p68 @p66)) % 0.38/0.56 (step @p70 :rule cong :premises (@p69) :args (@t67)) % 0.38/0.56 (step @p71 :rule quant-merge-prenex :args ((= @t67 @t68))) % 0.38/0.56 (step @p72 :rule symm :premises (@p71)) % 0.38/0.56 (step @p73 :rule quant_var_reordering :args ((= (forall @t16 @t65) @t68))) % 0.38/0.56 (step @p74 :rule trans :premises (@p73 @p72 @p70)) % 0.38/0.56 (step @p75 :rule trans :premises (@p74 @p65)) % 0.38/0.56 (step @p76 :rule aci_norm :args ((= (or @t69 @t3) @t65))) % 0.38/0.56 (step @p77 :rule refl :args (@t3)) % 0.38/0.56 (step @p78 :rule aci_norm :args ((= (or @t62 (or @t60 (or @t32 @t30))) @t69))) % 0.38/0.56 (step @p79 :rule bool-and-de-morgan :args (@t31 @t29 true)) % 0.38/0.56 (step @p80 :rule refl :args (@t60)) % 0.38/0.56 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t60 (not (and @t31 @t29))))) % 0.38/0.56 (step @p82 :rule bool-and-de-morgan :args (@t59 @t31 (and @t29))) % 0.38/0.56 (step @p83 :rule trans :premises (@p82 @p81)) % 0.38/0.56 (step @p84 :rule refl :args (@t62)) % 0.38/0.56 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t62 (not (and @t59 @t31 @t29))))) % 0.38/0.56 (step @p86 :rule bool-and-de-morgan :args (@t61 @t59 (and @t31 @t29))) % 0.38/0.56 (step @p87 :rule trans :premises (@p86 @p85)) % 0.38/0.56 (step @p88 :rule trans :premises (@p87 @p78)) % 0.38/0.56 (step @p89 :rule nary_cong :premises (@p88 @p77) :args ((or (not @t70) @t3))) % 0.38/0.56 (step @p90 :rule trans :premises (@p89 @p76)) % 0.38/0.56 (step @p91 :rule bool-impl-elim :args (@t70 @t3)) % 0.38/0.56 (step @p92 :rule trans :premises (@p91 @p90)) % 0.38/0.56 (step @p93 :rule cong :premises (@p92) :args ((forall @t16 (=> @t70 @t3)))) % 0.38/0.56 (step @p94 :rule trans :premises (@p93 @p75)) % 0.38/0.56 (step @p95 :rule arith_poly_norm :args ((= (* -2 (- @t5 @t1)) (* 2 (- @t1 @t5))))) % 0.38/0.56 (step @p96 :rule arith_poly_norm_rel :premises (@p95) :args ((= @t6 @t29))) % 0.38/0.56 (step @p97 :rule arith_poly_norm :args ((= (* -18 (- 18 @t4)) (* 18 (- @t4 18))))) % 0.38/0.56 (step @p98 :rule arith_poly_norm_rel :premises (@p97) :args ((= (= 18 @t4) @t31))) % 0.38/0.56 (step @p99 :rule refl :args (@t4)) % 0.38/0.56 (step @p100 :rule evaluate :args (@t7)) % 0.38/0.56 (step @p101 :rule cong :premises (@p100 @p99) :args (@t8)) % 0.38/0.56 (step @p102 :rule trans :premises (@p101 @p98)) % 0.38/0.56 (step @p103 :rule arith_poly_norm :args ((= (* -6 (- @t58 @t2)) (* 6 (- @t2 @t58))))) % 0.38/0.56 (step @p104 :rule arith_poly_norm_rel :premises (@p103) :args ((= (= @t58 @t2) @t59))) % 0.38/0.56 (step @p105 :rule arith_poly_norm :args ((= @t10 @t58))) % 0.38/0.57 (step @p106 :rule cong :premises (@p105 @p56) :args (@t11)) % 0.38/0.57 (step @p107 :rule trans :premises (@p106 @p104)) % 0.38/0.57 (step @p108 :rule arith_poly_norm :args ((= (* -6 (- 6 @t9)) (* 6 (- @t9 6))))) % 0.38/0.57 (step @p109 :rule arith_poly_norm_rel :premises (@p108) :args ((= (= 6 @t9) @t61))) % 0.38/0.57 (step @p110 :rule refl :args (@t9)) % 0.38/0.57 (step @p111 :rule evaluate :args (@t12)) % 0.38/0.57 (step @p112 :rule cong :premises (@p111 @p110) :args (@t13)) % 0.38/0.57 (step @p113 :rule trans :premises (@p112 @p109)) % 0.38/0.57 (step @p114 :rule nary_cong :premises (@p113 @p107 @p102 @p96) :args (@t14)) % 0.38/0.57 (step @p115 :rule cong :premises (@p114 @p54) :args (@t15)) % 0.38/0.57 (step @p116 :rule cong :premises (@p115) :args (@t17)) % 0.38/0.57 (step @p117 :rule trans :premises (@p116 @p94)) % 0.38/0.57 (step @p118 :rule cong :premises (@p117) :args (@t18)) % 0.38/0.57 (step @p119 :rule trans :premises (@p118 @p3)) % 0.38/0.57 (step @p120 false :rule eq_resolve :premises (@p1 @p119)) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------