%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI082_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 : n004.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 08:07:06 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI082_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n004.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 02:25:22 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_ARI % 0.30/0.55 --- Run --finite-model-find --decision=internal at 45... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (define @t1 () (@var "Z4" Int)) % 0.30/0.55 (define @t2 () (@var "Z2" Int)) % 0.30/0.55 (define @t3 () (= @t2 @t1)) % 0.30/0.55 (define @t4 () (@var "Z3" Int)) % 0.30/0.55 (define @t5 () (+ 2 @t4)) % 0.30/0.55 (define @t6 () (= @t5 @t1)) % 0.30/0.55 (define @t7 () (+ 3 6)) % 0.30/0.55 (define @t8 () (= @t7 @t4)) % 0.30/0.55 (define @t9 () (@var "Z1" Int)) % 0.30/0.55 (define @t10 () (+ @t9 6)) % 0.30/0.55 (define @t11 () (= @t10 @t2)) % 0.30/0.55 (define @t12 () (+ 2 3)) % 0.30/0.55 (define @t13 () (= @t12 @t9)) % 0.30/0.55 (define @t14 () (and @t13 @t11 @t8 @t6)) % 0.30/0.55 (define @t15 () (=> @t14 @t3)) % 0.30/0.55 (define @t16 () (@list @t9 @t2 @t4 @t1)) % 0.30/0.55 (define @t17 () (forall @t16 @t15)) % 0.30/0.55 (define @t18 () (not @t17)) % 0.30/0.55 (define @t19 () (@list @t1)) % 0.30/0.55 (define @t20 () (= @t1 11)) % 0.30/0.55 (define @t21 () (not @t20)) % 0.30/0.55 (define @t22 () (or @t21 @t20)) % 0.30/0.55 (define @t23 () (* 11 (- @t1 11))) % 0.30/0.55 (define @t24 () (+ -2 @t1)) % 0.30/0.55 (define @t25 () (= 9 @t24)) % 0.30/0.55 (define @t26 () (not @t25)) % 0.30/0.55 (define @t27 () (= 9 9)) % 0.30/0.55 (define @t28 () (not @t27)) % 0.30/0.55 (define @t29 () (or @t28 @t26 @t20)) % 0.30/0.55 (define @t30 () (= @t4 @t24)) % 0.30/0.55 (define @t31 () (not @t30)) % 0.30/0.55 (define @t32 () (= @t4 9)) % 0.30/0.55 (define @t33 () (not @t32)) % 0.30/0.55 (define @t34 () (or @t33 @t33 @t31 @t20)) % 0.30/0.55 (define @t35 () (@list @t4)) % 0.30/0.55 (define @t36 () (or @t33 @t31 @t20)) % 0.30/0.55 (define @t37 () (forall @t35 @t36)) % 0.30/0.55 (define @t38 () (forall @t19 @t37)) % 0.30/0.55 (define @t39 () (forall (@list @t1 @t4) @t36)) % 0.30/0.55 (define @t40 () (@list @t4 @t1)) % 0.30/0.55 (define @t41 () (= 11 @t1)) % 0.30/0.55 (define @t42 () (= 11 11)) % 0.30/0.55 (define @t43 () (not @t42)) % 0.30/0.55 (define @t44 () (or @t43 @t33 @t31 @t41)) % 0.30/0.55 (define @t45 () (= @t2 11)) % 0.30/0.55 (define @t46 () (not @t45)) % 0.30/0.55 (define @t47 () (or @t46 @t46 @t33 @t31 @t3)) % 0.30/0.55 (define @t48 () (@list @t2)) % 0.30/0.55 (define @t49 () (or @t46 @t33 @t31 @t3)) % 0.30/0.55 (define @t50 () (forall @t48 @t49)) % 0.30/0.55 (define @t51 () (forall @t40 @t50)) % 0.30/0.55 (define @t52 () (forall (@list @t4 @t1 @t2) @t49)) % 0.30/0.55 (define @t53 () (@list @t2 @t4 @t1)) % 0.30/0.55 (define @t54 () (+ -6 @t2)) % 0.30/0.55 (define @t55 () (= 5 @t54)) % 0.30/0.55 (define @t56 () (not @t55)) % 0.30/0.55 (define @t57 () (= 5 5)) % 0.30/0.55 (define @t58 () (not @t57)) % 0.30/0.55 (define @t59 () (or @t58 @t56 @t33 @t31 @t3)) % 0.30/0.55 (define @t60 () (= @t9 @t54)) % 0.30/0.55 (define @t61 () (not @t60)) % 0.30/0.55 (define @t62 () (= @t9 5)) % 0.30/0.55 (define @t63 () (not @t62)) % 0.30/0.55 (define @t64 () (or @t63 @t63 @t61 @t33 @t31 @t3)) % 0.30/0.55 (define @t65 () (@list @t9)) % 0.30/0.55 (define @t66 () (or @t63 @t61 @t33 @t31 @t3)) % 0.30/0.55 (define @t67 () (forall @t65 @t66)) % 0.30/0.55 (define @t68 () (forall @t53 @t67)) % 0.30/0.55 (define @t69 () (forall (@list @t2 @t4 @t1 @t9) @t66)) % 0.30/0.55 (define @t70 () (or @t63 @t61 @t33 @t31)) % 0.30/0.55 (define @t71 () (and @t62 @t60 @t32 @t30)) % 0.30/0.55 (define @t72 () (+ 6 @t9)) % 0.30/0.55 (assume @p1 @t18) % 0.30/0.55 (assume @p2 true) % 0.30/0.55 (step @p3 :rule evaluate :args ((not true))) % 0.30/0.55 (step @p4 :rule quant-unused-vars :args ((= (forall @t19 true) true))) % 0.30/0.55 (step @p5 :rule bool-or-taut2 :args (false @t20 false false)) % 0.30/0.55 (step @p6 :rule cong :premises (@p5) :args ((forall @t19 @t22))) % 0.30/0.55 (step @p7 :rule trans :premises (@p6 @p4)) % 0.30/0.55 (step @p8 :rule aci_norm :args ((= (or false @t21 @t20) @t22))) % 0.30/0.55 (step @p9 :rule refl :args (@t20)) % 0.30/0.55 (step @p10 :rule arith_poly_norm :args ((= (* -11 (- 9 @t24)) @t23))) % 0.30/0.55 (step @p11 :rule arith_poly_norm_rel :premises (@p10) :args ((= @t25 @t20))) % 0.30/0.55 (step @p12 :rule cong :premises (@p11) :args (@t26)) % 0.30/0.55 (step @p13 :rule evaluate :args (@t27)) % 0.30/0.55 (step @p14 :rule cong :premises (@p13) :args (@t28)) % 0.30/0.55 (step @p15 :rule trans :premises (@p14 @p3)) % 0.30/0.55 (step @p16 :rule nary_cong :premises (@p15 @p12 @p9) :args (@t29)) % 0.30/0.55 (step @p17 :rule trans :premises (@p16 @p8)) % 0.30/0.55 (step @p18 :rule cong :premises (@p17) :args ((forall @t19 @t29))) % 0.30/0.55 (step @p19 :rule trans :premises (@p18 @p7)) % 0.30/0.55 (step @p20 :rule quant-var-elim-eq :args ((= (forall @t35 @t34) @t29))) % 0.30/0.55 (step @p21 :rule aci_norm :args ((= @t36 @t34))) % 0.30/0.55 (step @p22 :rule cong :premises (@p21) :args (@t37)) % 0.30/0.55 (step @p23 :rule trans :premises (@p22 @p20)) % 0.30/0.55 (step @p24 :rule cong :premises (@p23) :args (@t38)) % 0.30/0.55 (step @p25 :rule quant-merge-prenex :args ((= @t38 @t39))) % 0.30/0.55 (step @p26 :rule symm :premises (@p25)) % 0.30/0.55 (step @p27 :rule quant_var_reordering :args ((= (forall @t40 @t36) @t39))) % 0.30/0.55 (step @p28 :rule trans :premises (@p27 @p26 @p24)) % 0.30/0.55 (step @p29 :rule trans :premises (@p28 @p19)) % 0.30/0.55 (step @p30 :rule aci_norm :args ((= (or false @t33 @t31 @t20) @t36))) % 0.30/0.55 (step @p31 :rule arith_poly_norm :args ((= (* -11 (- 11 @t1)) @t23))) % 0.30/0.55 (step @p32 :rule arith_poly_norm_rel :premises (@p31) :args ((= @t41 @t20))) % 0.30/0.55 (step @p33 :rule refl :args (@t31)) % 0.30/0.55 (step @p34 :rule refl :args (@t33)) % 0.30/0.55 (step @p35 :rule evaluate :args (@t42)) % 0.30/0.55 (step @p36 :rule cong :premises (@p35) :args (@t43)) % 0.30/0.55 (step @p37 :rule trans :premises (@p36 @p3)) % 0.30/0.55 (step @p38 :rule nary_cong :premises (@p37 @p34 @p33 @p32) :args (@t44)) % 0.30/0.55 (step @p39 :rule trans :premises (@p38 @p30)) % 0.30/0.55 (step @p40 :rule cong :premises (@p39) :args ((forall @t40 @t44))) % 0.30/0.55 (step @p41 :rule trans :premises (@p40 @p29)) % 0.30/0.55 (step @p42 :rule quant-var-elim-eq :args ((= (forall @t48 @t47) @t44))) % 0.30/0.55 (step @p43 :rule aci_norm :args ((= @t49 @t47))) % 0.30/0.55 (step @p44 :rule cong :premises (@p43) :args (@t50)) % 0.30/0.55 (step @p45 :rule trans :premises (@p44 @p42)) % 0.30/0.55 (step @p46 :rule cong :premises (@p45) :args (@t51)) % 0.30/0.55 (step @p47 :rule quant-merge-prenex :args ((= @t51 @t52))) % 0.30/0.55 (step @p48 :rule symm :premises (@p47)) % 0.30/0.55 (step @p49 :rule quant_var_reordering :args ((= (forall @t53 @t49) @t52))) % 0.30/0.55 (step @p50 :rule trans :premises (@p49 @p48 @p46)) % 0.30/0.55 (step @p51 :rule trans :premises (@p50 @p41)) % 0.30/0.55 (step @p52 :rule aci_norm :args ((= (or false @t46 @t33 @t31 @t3) @t49))) % 0.30/0.55 (step @p53 :rule refl :args (@t3)) % 0.30/0.55 (step @p54 :rule arith_poly_norm :args ((= (* -11 (- 5 @t54)) (* 11 (- @t2 11))))) % 0.30/0.55 (step @p55 :rule arith_poly_norm_rel :premises (@p54) :args ((= @t55 @t45))) % 0.30/0.55 (step @p56 :rule cong :premises (@p55) :args (@t56)) % 0.30/0.55 (step @p57 :rule evaluate :args (@t57)) % 0.30/0.55 (step @p58 :rule cong :premises (@p57) :args (@t58)) % 0.30/0.55 (step @p59 :rule trans :premises (@p58 @p3)) % 0.30/0.55 (step @p60 :rule nary_cong :premises (@p59 @p56 @p34 @p33 @p53) :args (@t59)) % 0.30/0.55 (step @p61 :rule trans :premises (@p60 @p52)) % 0.30/0.55 (step @p62 :rule cong :premises (@p61) :args ((forall @t53 @t59))) % 0.30/0.55 (step @p63 :rule trans :premises (@p62 @p51)) % 0.30/0.55 (step @p64 :rule quant-var-elim-eq :args ((= (forall @t65 @t64) @t59))) % 0.30/0.55 (step @p65 :rule aci_norm :args ((= @t66 @t64))) % 0.30/0.55 (step @p66 :rule cong :premises (@p65) :args (@t67)) % 0.30/0.55 (step @p67 :rule trans :premises (@p66 @p64)) % 0.30/0.55 (step @p68 :rule cong :premises (@p67) :args (@t68)) % 0.30/0.55 (step @p69 :rule quant-merge-prenex :args ((= @t68 @t69))) % 0.30/0.55 (step @p70 :rule symm :premises (@p69)) % 0.30/0.55 (step @p71 :rule quant_var_reordering :args ((= (forall @t16 @t66) @t69))) % 0.30/0.55 (step @p72 :rule trans :premises (@p71 @p70 @p68)) % 0.30/0.55 (step @p73 :rule trans :premises (@p72 @p63)) % 0.30/0.55 (step @p74 :rule aci_norm :args ((= (or @t70 @t3) @t66))) % 0.30/0.55 (step @p75 :rule refl :args (@t3)) % 0.30/0.55 (step @p76 :rule aci_norm :args ((= (or @t63 (or @t61 (or @t33 @t31))) @t70))) % 0.30/0.55 (step @p77 :rule bool-and-de-morgan :args (@t32 @t30 true)) % 0.30/0.55 (step @p78 :rule refl :args (@t61)) % 0.30/0.55 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t61 (not (and @t32 @t30))))) % 0.30/0.55 (step @p80 :rule bool-and-de-morgan :args (@t60 @t32 (and @t30))) % 0.30/0.55 (step @p81 :rule trans :premises (@p80 @p79)) % 0.30/0.55 (step @p82 :rule refl :args (@t63)) % 0.30/0.55 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t63 (not (and @t60 @t32 @t30))))) % 0.30/0.55 (step @p84 :rule bool-and-de-morgan :args (@t62 @t60 (and @t32 @t30))) % 0.30/0.55 (step @p85 :rule trans :premises (@p84 @p83)) % 0.30/0.55 (step @p86 :rule trans :premises (@p85 @p76)) % 0.30/0.55 (step @p87 :rule nary_cong :premises (@p86 @p75) :args ((or (not @t71) @t3))) % 0.30/0.55 (step @p88 :rule trans :premises (@p87 @p74)) % 0.30/0.55 (step @p89 :rule bool-impl-elim :args (@t71 @t3)) % 0.30/0.55 (step @p90 :rule trans :premises (@p89 @p88)) % 0.30/0.55 (step @p91 :rule cong :premises (@p90) :args ((forall @t16 (=> @t71 @t3)))) % 0.30/0.55 (step @p92 :rule trans :premises (@p91 @p73)) % 0.30/0.55 (step @p93 :rule arith_poly_norm :args ((= (* 2 (- @t5 @t1)) (* 2 (- @t4 @t24))))) % 0.30/0.55 (step @p94 :rule arith_poly_norm_rel :premises (@p93) :args ((= @t6 @t30))) % 0.30/0.55 (step @p95 :rule arith_poly_norm :args ((= (* -9 (- 9 @t4)) (* 9 (- @t4 9))))) % 0.30/0.55 (step @p96 :rule arith_poly_norm_rel :premises (@p95) :args ((= (= 9 @t4) @t32))) % 0.30/0.55 (step @p97 :rule refl :args (@t4)) % 0.30/0.55 (step @p98 :rule evaluate :args (@t7)) % 0.30/0.55 (step @p99 :rule cong :premises (@p98 @p97) :args (@t8)) % 0.30/0.55 (step @p100 :rule trans :premises (@p99 @p96)) % 0.30/0.55 (step @p101 :rule arith_poly_norm :args ((= (* 6 (- @t72 @t2)) (* 6 (- @t9 @t54))))) % 0.30/0.55 (step @p102 :rule arith_poly_norm_rel :premises (@p101) :args ((= (= @t72 @t2) @t60))) % 0.30/0.55 (step @p103 :rule refl :args (@t2)) % 0.30/0.55 (step @p104 :rule arith_poly_norm :args ((= @t10 @t72))) % 0.30/0.55 (step @p105 :rule cong :premises (@p104 @p103) :args (@t11)) % 0.30/0.55 (step @p106 :rule trans :premises (@p105 @p102)) % 0.30/0.55 (step @p107 :rule arith_poly_norm :args ((= (* -5 (- 5 @t9)) (* 5 (- @t9 5))))) % 0.30/0.55 (step @p108 :rule arith_poly_norm_rel :premises (@p107) :args ((= (= 5 @t9) @t62))) % 0.30/0.55 (step @p109 :rule refl :args (@t9)) % 0.30/0.55 (step @p110 :rule evaluate :args (@t12)) % 0.30/0.55 (step @p111 :rule cong :premises (@p110 @p109) :args (@t13)) % 0.30/0.55 (step @p112 :rule trans :premises (@p111 @p108)) % 0.30/0.55 (step @p113 :rule nary_cong :premises (@p112 @p106 @p100 @p94) :args (@t14)) % 0.30/0.55 (step @p114 :rule cong :premises (@p113 @p53) :args (@t15)) % 0.30/0.55 (step @p115 :rule cong :premises (@p114) :args (@t17)) % 0.30/0.55 (step @p116 :rule trans :premises (@p115 @p92)) % 0.30/0.55 (step @p117 :rule cong :premises (@p116) :args (@t18)) % 0.30/0.55 (step @p118 :rule trans :premises (@p117 @p3)) % 0.30/0.55 (step @p119 false :rule eq_resolve :premises (@p1 @p118)) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------