%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI083_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI083_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n017.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 02:24:16 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_ARI % 0.38/0.59 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (define @t1 () (@var "Z4" Int)) % 0.38/0.59 (define @t2 () (@var "Z2" Int)) % 0.38/0.59 (define @t3 () (= @t2 @t1)) % 0.38/0.59 (define @t4 () (@var "Z3" Int)) % 0.38/0.59 (define @t5 () (@var "X" Int)) % 0.38/0.59 (define @t6 () (+ @t5 @t4)) % 0.38/0.59 (define @t7 () (= @t6 @t1)) % 0.38/0.59 (define @t8 () (@var "Z" Int)) % 0.38/0.59 (define @t9 () (@var "Y" Int)) % 0.38/0.59 (define @t10 () (+ @t9 @t8)) % 0.38/0.59 (define @t11 () (= @t10 @t4)) % 0.38/0.59 (define @t12 () (@var "Z1" Int)) % 0.38/0.59 (define @t13 () (+ @t12 @t8)) % 0.38/0.59 (define @t14 () (= @t13 @t2)) % 0.38/0.59 (define @t15 () (+ @t5 @t9)) % 0.38/0.59 (define @t16 () (= @t15 @t12)) % 0.38/0.59 (define @t17 () (and @t16 @t14 @t11 @t7)) % 0.38/0.59 (define @t18 () (=> @t17 @t3)) % 0.38/0.59 (define @t19 () (@list @t5 @t9 @t8 @t12 @t2 @t4 @t1)) % 0.38/0.59 (define @t20 () (exists @t19 @t18)) % 0.38/0.59 (define @t21 () (not @t20)) % 0.38/0.59 (define @t22 () (@var "BOUND_VARIABLE_7541" Int)) % 0.38/0.59 (define @t23 () (@list @t22)) % 0.38/0.59 (define @t24 () (not (= @t22 @t22))) % 0.38/0.59 (define @t25 () (@var "BOUND_VARIABLE_7537" Int)) % 0.38/0.59 (define @t26 () (not (= @t25 @t22))) % 0.38/0.59 (define @t27 () (or @t26 @t26)) % 0.38/0.59 (define @t28 () (@list @t25)) % 0.38/0.59 (define @t29 () (forall @t28 @t26)) % 0.38/0.59 (define @t30 () (forall @t23 @t29)) % 0.38/0.59 (define @t31 () (forall (@list @t22 @t25) @t26)) % 0.38/0.59 (define @t32 () (forall (@list @t25 @t22) @t26)) % 0.38/0.59 (define @t33 () (@var "BOUND_VARIABLE_7539" Int)) % 0.38/0.59 (define @t34 () (@var "BOUND_VARIABLE_7535" Int)) % 0.38/0.59 (define @t35 () (@var "BOUND_VARIABLE_7533" Int)) % 0.38/0.59 (define @t36 () (@var "BOUND_VARIABLE_7531" Int)) % 0.38/0.59 (define @t37 () (@var "BOUND_VARIABLE_7529" Int)) % 0.38/0.59 (define @t38 () (forall (@list @t37 @t36 @t35 @t34 @t25 @t33 @t22) @t26)) % 0.38/0.59 (define @t39 () (@var "BOUND_VARIABLE_7521" Int)) % 0.38/0.59 (define @t40 () (@var "BOUND_VARIABLE_7519" Int)) % 0.38/0.59 (define @t41 () (@list @t40 @t39)) % 0.38/0.59 (define @t42 () (+ (* -1 @t40) @t39)) % 0.38/0.59 (define @t43 () (@var "BOUND_VARIABLE_7509" Int)) % 0.38/0.59 (define @t44 () (= @t43 @t42)) % 0.38/0.59 (define @t45 () (forall (@list @t43) @t44)) % 0.38/0.59 (define @t46 () (and false true)) % 0.38/0.59 (define @t47 () (>= 1 0)) % 0.38/0.59 (define @t48 () (+ (* -1 (+ (* 1 @t40) (* -1 @t39))) -1)) % 0.38/0.59 (define @t49 () (- @t42 @t48)) % 0.38/0.59 (define @t50 () (>= -1 0)) % 0.38/0.59 (define @t51 () (- @t48 @t42)) % 0.38/0.59 (define @t52 () (forall @t41 @t45)) % 0.38/0.59 (define @t53 () (forall (@list @t40 @t39 @t43) @t44)) % 0.38/0.59 (define @t54 () (forall (@list @t43 @t40 @t39) @t44)) % 0.38/0.59 (define @t55 () (@var "BOUND_VARIABLE_7517" Int)) % 0.38/0.59 (define @t56 () (@var "BOUND_VARIABLE_7515" Int)) % 0.38/0.59 (define @t57 () (@var "BOUND_VARIABLE_7513" Int)) % 0.38/0.59 (define @t58 () (@var "BOUND_VARIABLE_7511" Int)) % 0.38/0.59 (define @t59 () (forall (@list @t43 @t58 @t57 @t56 @t55 @t40 @t39) @t44)) % 0.38/0.59 (define @t60 () (@var "BOUND_VARIABLE_7499" Int)) % 0.38/0.59 (define @t61 () (@var "BOUND_VARIABLE_7493" Int)) % 0.38/0.59 (define @t62 () (@list @t61 @t60)) % 0.38/0.59 (define @t63 () (+ (* -1 @t61) @t60)) % 0.38/0.59 (define @t64 () (@var "BOUND_VARIABLE_7491" Int)) % 0.38/0.59 (define @t65 () (= @t64 @t63)) % 0.38/0.59 (define @t66 () (forall (@list @t64) @t65)) % 0.38/0.59 (define @t67 () (+ (* -1 (+ (* 1 @t61) (* -1 @t60))) -1)) % 0.38/0.59 (define @t68 () (- @t63 @t67)) % 0.38/0.59 (define @t69 () (- @t67 @t63)) % 0.38/0.59 (define @t70 () (forall @t62 @t66)) % 0.38/0.59 (define @t71 () (forall (@list @t61 @t60 @t64) @t65)) % 0.38/0.59 (define @t72 () (forall (@list @t64 @t61 @t60) @t65)) % 0.38/0.59 (define @t73 () (@var "BOUND_VARIABLE_7501" Int)) % 0.38/0.59 (define @t74 () (@var "BOUND_VARIABLE_7497" Int)) % 0.38/0.59 (define @t75 () (@var "BOUND_VARIABLE_7495" Int)) % 0.38/0.59 (define @t76 () (@var "BOUND_VARIABLE_7489" Int)) % 0.38/0.59 (define @t77 () (forall (@list @t76 @t64 @t61 @t75 @t74 @t60 @t73) @t65)) % 0.38/0.59 (define @t78 () (@var "BOUND_VARIABLE_7478" Int)) % 0.38/0.59 (define @t79 () (@var "BOUND_VARIABLE_7476" Int)) % 0.38/0.59 (define @t80 () (@list @t79 @t78)) % 0.38/0.59 (define @t81 () (+ (* -1 @t79) @t78)) % 0.38/0.59 (define @t82 () (@var "BOUND_VARIABLE_7474" Int)) % 0.38/0.59 (define @t83 () (= @t82 @t81)) % 0.38/0.59 (define @t84 () (forall (@list @t82) @t83)) % 0.38/0.59 (define @t85 () (+ (* -1 (+ (* 1 @t79) (* -1 @t78))) -1)) % 0.38/0.59 (define @t86 () (- @t81 @t85)) % 0.38/0.59 (define @t87 () (- @t85 @t81)) % 0.38/0.59 (define @t88 () (forall @t80 @t84)) % 0.38/0.59 (define @t89 () (forall (@list @t79 @t78 @t82) @t83)) % 0.38/0.59 (define @t90 () (forall (@list @t82 @t79 @t78) @t83)) % 0.38/0.59 (define @t91 () (@var "BOUND_VARIABLE_7482" Int)) % 0.38/0.59 (define @t92 () (@var "BOUND_VARIABLE_7480" Int)) % 0.38/0.59 (define @t93 () (@var "BOUND_VARIABLE_7472" Int)) % 0.38/0.59 (define @t94 () (@var "BOUND_VARIABLE_7470" Int)) % 0.38/0.59 (define @t95 () (forall (@list @t94 @t93 @t82 @t79 @t78 @t92 @t91) @t83)) % 0.38/0.59 (define @t96 () (@var "BOUND_VARIABLE_7457" Int)) % 0.38/0.59 (define @t97 () (@var "BOUND_VARIABLE_7453" Int)) % 0.38/0.59 (define @t98 () (@list @t97 @t96)) % 0.38/0.59 (define @t99 () (+ (* -1 @t97) @t96)) % 0.38/0.59 (define @t100 () (@var "BOUND_VARIABLE_7451" Int)) % 0.38/0.59 (define @t101 () (= @t100 @t99)) % 0.38/0.59 (define @t102 () (forall (@list @t100) @t101)) % 0.38/0.59 (define @t103 () (+ (* -1 (+ (* 1 @t97) (* -1 @t96))) -1)) % 0.38/0.59 (define @t104 () (- @t99 @t103)) % 0.38/0.59 (define @t105 () (- @t103 @t99)) % 0.38/0.59 (define @t106 () (forall @t98 @t102)) % 0.38/0.59 (define @t107 () (forall (@list @t97 @t96 @t100) @t101)) % 0.38/0.59 (define @t108 () (forall (@list @t100 @t97 @t96) @t101)) % 0.38/0.59 (define @t109 () (@var "BOUND_VARIABLE_7463" Int)) % 0.38/0.59 (define @t110 () (@var "BOUND_VARIABLE_7461" Int)) % 0.38/0.59 (define @t111 () (@var "BOUND_VARIABLE_7459" Int)) % 0.38/0.59 (define @t112 () (@var "BOUND_VARIABLE_7455" Int)) % 0.38/0.59 (define @t113 () (forall (@list @t100 @t97 @t112 @t96 @t111 @t110 @t109) @t101)) % 0.38/0.59 (define @t114 () (not @t3)) % 0.38/0.59 (define @t115 () (forall @t19 @t114)) % 0.38/0.59 (define @t116 () (@list @t5 @t9 @t8 @t12 @t2 @t4 @t1)) % 0.38/0.59 (define @t117 () (+ (* -1 @t4) @t1)) % 0.38/0.59 (define @t118 () (= @t5 @t117)) % 0.38/0.59 (define @t119 () (forall @t19 @t118)) % 0.38/0.59 (define @t120 () (+ (* -1 @t8) @t4)) % 0.38/0.59 (define @t121 () (= @t9 @t120)) % 0.38/0.59 (define @t122 () (forall @t19 @t121)) % 0.38/0.59 (define @t123 () (+ (* -1 @t12) @t2)) % 0.38/0.59 (define @t124 () (= @t8 @t123)) % 0.38/0.59 (define @t125 () (forall @t19 @t124)) % 0.38/0.59 (define @t126 () (+ (* -1 @t9) @t12)) % 0.38/0.59 (define @t127 () (= @t5 @t126)) % 0.38/0.59 (define @t128 () (forall @t19 @t127)) % 0.38/0.59 (define @t129 () (and @t128 @t125 @t122 @t119 @t115)) % 0.38/0.59 (define @t130 () (and @t127 @t124 @t121 @t118 @t114)) % 0.38/0.59 (define @t131 () (and @t127 @t124 @t121 @t118)) % 0.38/0.59 (define @t132 () (=> @t131 @t3)) % 0.38/0.59 (define @t133 () (forall @t19 (not @t132))) % 0.38/0.59 (define @t134 () (not @t133)) % 0.38/0.59 (define @t135 () (+ @t8 @t12)) % 0.38/0.59 (assume @p1 @t21) % 0.38/0.59 (assume @p2 true) % 0.38/0.59 (step @p3 :rule evaluate :args ((not true))) % 0.38/0.59 (step @p4 :rule evaluate :args ((not false))) % 0.38/0.59 (step @p5 :rule evaluate :args ((and false false false false false))) % 0.38/0.59 (step @p6 :rule quant-unused-vars :args ((= (forall @t23 false) false))) % 0.38/0.59 (step @p7 :rule eq-refl :args (@t22)) % 0.38/0.59 (step @p8 :rule cong :premises (@p7) :args (@t24)) % 0.38/0.59 (step @p9 :rule trans :premises (@p8 @p3)) % 0.38/0.59 (step @p10 :rule cong :premises (@p9) :args ((forall @t23 @t24))) % 0.38/0.59 (step @p11 :rule trans :premises (@p10 @p6)) % 0.38/0.59 (step @p12 :rule quant-var-elim-eq :args ((= (forall @t28 @t27) @t24))) % 0.38/0.59 (step @p13 :rule aci_norm :args ((= @t26 @t27))) % 0.38/0.59 (step @p14 :rule cong :premises (@p13) :args (@t29)) % 0.38/0.59 (step @p15 :rule trans :premises (@p14 @p12)) % 0.38/0.59 (step @p16 :rule cong :premises (@p15) :args (@t30)) % 0.38/0.59 (step @p17 :rule quant-merge-prenex :args ((= @t30 @t31))) % 0.38/0.59 (step @p18 :rule symm :premises (@p17)) % 0.38/0.59 (step @p19 :rule quant_var_reordering :args ((= @t32 @t31))) % 0.38/0.59 (step @p20 :rule trans :premises (@p19 @p18 @p16)) % 0.38/0.59 (step @p21 :rule trans :premises (@p20 @p11)) % 0.38/0.59 (step @p22 :rule quant-unused-vars :args ((= @t38 @t32))) % 0.38/0.59 (step @p23 :rule trans :premises (@p22 @p21)) % 0.38/0.59 (step @p24 :rule quant-unused-vars :args ((= (forall @t41 false) false))) % 0.38/0.59 (assume-push @p192 @t45) % 0.38/0.59 (step @p26 :rule evaluate :args (@t46)) % 0.38/0.59 (step @p27 :rule evaluate :args (@t47)) % 0.38/0.59 (step @p28 :rule refl :args (0)) % 0.38/0.59 (step @p29 :rule arith_poly_norm :args ((= @t49 1))) % 0.38/0.59 (step @p30 :rule cong :premises (@p29 @p28) :args ((>= @t49 0))) % 0.38/0.59 (step @p31 :rule trans :premises (@p30 @p27)) % 0.38/0.59 (step @p32 :rule arith-geq-norm1-int :args (@t42 @t48)) % 0.38/0.59 (step @p33 :rule trans :premises (@p32 @p31)) % 0.38/0.59 (step @p34 :rule arith-elim-leq :args (@t48 @t42)) % 0.38/0.59 (step @p35 :rule trans :premises (@p34 @p33)) % 0.38/0.59 (step @p36 :rule evaluate :args (@t50)) % 0.38/0.59 (step @p37 :rule arith_poly_norm :args ((= @t51 -1))) % 0.38/0.59 (step @p38 :rule cong :premises (@p37 @p28) :args ((>= @t51 0))) % 0.38/0.59 (step @p39 :rule trans :premises (@p38 @p36)) % 0.38/0.59 (step @p40 :rule arith-geq-norm1-int :args (@t48 @t42)) % 0.38/0.59 (step @p41 :rule trans :premises (@p40 @p39)) % 0.38/0.59 (step @p42 :rule nary_cong :premises (@p41 @p35) :args ((and (>= @t48 @t42) (<= @t48 @t42)))) % 0.38/0.59 (step @p43 :rule trans :premises (@p42 @p26)) % 0.38/0.59 (step @p44 :rule arith-eq-elim-int :args (@t48 @t42)) % 0.38/0.59 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.59 (step @p46 :rule instantiate :premises (@p192) :args ((@list @t48))) % 0.38/0.59 (step @p47 false :rule eq_resolve :premises (@p46 @p45)) % 0.38/0.59 (step-pop @p193 :rule scope :premises (@p47)) % 0.38/0.59 (step @p48 :rule process_scope :premises (@p193) :args (false)) % 0.38/0.59 (step @p50 :rule false_intro :premises (@p48)) % 0.38/0.59 (step @p51 :rule cong :premises (@p50) :args (@t52)) % 0.38/0.59 (step @p52 :rule quant-merge-prenex :args ((= @t52 @t53))) % 0.38/0.59 (step @p53 :rule symm :premises (@p52)) % 0.38/0.59 (step @p54 :rule quant_var_reordering :args ((= @t54 @t53))) % 0.38/0.59 (step @p55 :rule trans :premises (@p54 @p53 @p51)) % 0.38/0.59 (step @p56 :rule trans :premises (@p55 @p24)) % 0.38/0.59 (step @p57 :rule quant-unused-vars :args ((= @t59 @t54))) % 0.38/0.59 (step @p58 :rule trans :premises (@p57 @p56)) % 0.38/0.59 (step @p59 :rule quant-unused-vars :args ((= (forall @t62 false) false))) % 0.38/0.59 (assume-push @p194 @t66) % 0.38/0.59 (step @p26 :rule evaluate :args (@t46)) % 0.38/0.59 (step @p27 :rule evaluate :args (@t47)) % 0.38/0.59 (step @p28 :rule refl :args (0)) % 0.38/0.59 (step @p61 :rule arith_poly_norm :args ((= @t68 1))) % 0.38/0.59 (step @p62 :rule cong :premises (@p61 @p28) :args ((>= @t68 0))) % 0.38/0.59 (step @p63 :rule trans :premises (@p62 @p27)) % 0.38/0.59 (step @p64 :rule arith-geq-norm1-int :args (@t63 @t67)) % 0.38/0.59 (step @p65 :rule trans :premises (@p64 @p63)) % 0.38/0.59 (step @p66 :rule arith-elim-leq :args (@t67 @t63)) % 0.38/0.59 (step @p67 :rule trans :premises (@p66 @p65)) % 0.38/0.59 (step @p36 :rule evaluate :args (@t50)) % 0.38/0.59 (step @p68 :rule arith_poly_norm :args ((= @t69 -1))) % 0.38/0.59 (step @p69 :rule cong :premises (@p68 @p28) :args ((>= @t69 0))) % 0.38/0.59 (step @p70 :rule trans :premises (@p69 @p36)) % 0.38/0.59 (step @p71 :rule arith-geq-norm1-int :args (@t67 @t63)) % 0.38/0.59 (step @p72 :rule trans :premises (@p71 @p70)) % 0.38/0.59 (step @p73 :rule nary_cong :premises (@p72 @p67) :args ((and (>= @t67 @t63) (<= @t67 @t63)))) % 0.38/0.59 (step @p74 :rule trans :premises (@p73 @p26)) % 0.38/0.59 (step @p75 :rule arith-eq-elim-int :args (@t67 @t63)) % 0.38/0.59 (step @p76 :rule trans :premises (@p75 @p74)) % 0.38/0.59 (step @p77 :rule instantiate :premises (@p194) :args ((@list @t67))) % 0.38/0.59 (step @p78 false :rule eq_resolve :premises (@p77 @p76)) % 0.38/0.59 (step-pop @p195 :rule scope :premises (@p78)) % 0.38/0.59 (step @p79 :rule process_scope :premises (@p195) :args (false)) % 0.38/0.59 (step @p81 :rule false_intro :premises (@p79)) % 0.38/0.59 (step @p82 :rule cong :premises (@p81) :args (@t70)) % 0.38/0.59 (step @p83 :rule quant-merge-prenex :args ((= @t70 @t71))) % 0.38/0.59 (step @p84 :rule symm :premises (@p83)) % 0.38/0.59 (step @p85 :rule quant_var_reordering :args ((= @t72 @t71))) % 0.38/0.59 (step @p86 :rule trans :premises (@p85 @p84 @p82)) % 0.38/0.59 (step @p87 :rule trans :premises (@p86 @p59)) % 0.38/0.59 (step @p88 :rule quant-unused-vars :args ((= @t77 @t72))) % 0.38/0.59 (step @p89 :rule trans :premises (@p88 @p87)) % 0.38/0.59 (step @p90 :rule quant-unused-vars :args ((= (forall @t80 false) false))) % 0.38/0.59 (assume-push @p196 @t84) % 0.38/0.59 (step @p26 :rule evaluate :args (@t46)) % 0.38/0.59 (step @p27 :rule evaluate :args (@t47)) % 0.38/0.59 (step @p28 :rule refl :args (0)) % 0.38/0.59 (step @p92 :rule arith_poly_norm :args ((= @t86 1))) % 0.38/0.59 (step @p93 :rule cong :premises (@p92 @p28) :args ((>= @t86 0))) % 0.38/0.59 (step @p94 :rule trans :premises (@p93 @p27)) % 0.38/0.59 (step @p95 :rule arith-geq-norm1-int :args (@t81 @t85)) % 0.38/0.59 (step @p96 :rule trans :premises (@p95 @p94)) % 0.38/0.59 (step @p97 :rule arith-elim-leq :args (@t85 @t81)) % 0.38/0.59 (step @p98 :rule trans :premises (@p97 @p96)) % 0.38/0.59 (step @p36 :rule evaluate :args (@t50)) % 0.38/0.59 (step @p99 :rule arith_poly_norm :args ((= @t87 -1))) % 0.38/0.59 (step @p100 :rule cong :premises (@p99 @p28) :args ((>= @t87 0))) % 0.38/0.59 (step @p101 :rule trans :premises (@p100 @p36)) % 0.38/0.59 (step @p102 :rule arith-geq-norm1-int :args (@t85 @t81)) % 0.38/0.59 (step @p103 :rule trans :premises (@p102 @p101)) % 0.38/0.59 (step @p104 :rule nary_cong :premises (@p103 @p98) :args ((and (>= @t85 @t81) (<= @t85 @t81)))) % 0.38/0.59 (step @p105 :rule trans :premises (@p104 @p26)) % 0.38/0.59 (step @p106 :rule arith-eq-elim-int :args (@t85 @t81)) % 0.38/0.59 (step @p107 :rule trans :premises (@p106 @p105)) % 0.38/0.59 (step @p108 :rule instantiate :premises (@p196) :args ((@list @t85))) % 0.38/0.59 (step @p109 false :rule eq_resolve :premises (@p108 @p107)) % 0.38/0.59 (step-pop @p197 :rule scope :premises (@p109)) % 0.38/0.59 (step @p110 :rule process_scope :premises (@p197) :args (false)) % 0.38/0.59 (step @p112 :rule false_intro :premises (@p110)) % 0.38/0.59 (step @p113 :rule cong :premises (@p112) :args (@t88)) % 0.38/0.59 (step @p114 :rule quant-merge-prenex :args ((= @t88 @t89))) % 0.38/0.59 (step @p115 :rule symm :premises (@p114)) % 0.38/0.59 (step @p116 :rule quant_var_reordering :args ((= @t90 @t89))) % 0.38/0.59 (step @p117 :rule trans :premises (@p116 @p115 @p113)) % 0.38/0.59 (step @p118 :rule trans :premises (@p117 @p90)) % 0.38/0.59 (step @p119 :rule quant-unused-vars :args ((= @t95 @t90))) % 0.38/0.59 (step @p120 :rule trans :premises (@p119 @p118)) % 0.38/0.59 (step @p121 :rule quant-unused-vars :args ((= (forall @t98 false) false))) % 0.38/0.59 (assume-push @p198 @t102) % 0.38/0.59 (step @p26 :rule evaluate :args (@t46)) % 0.38/0.59 (step @p27 :rule evaluate :args (@t47)) % 0.38/0.59 (step @p28 :rule refl :args (0)) % 0.38/0.59 (step @p123 :rule arith_poly_norm :args ((= @t104 1))) % 0.38/0.59 (step @p124 :rule cong :premises (@p123 @p28) :args ((>= @t104 0))) % 0.38/0.59 (step @p125 :rule trans :premises (@p124 @p27)) % 0.38/0.59 (step @p126 :rule arith-geq-norm1-int :args (@t99 @t103)) % 0.38/0.59 (step @p127 :rule trans :premises (@p126 @p125)) % 0.38/0.59 (step @p128 :rule arith-elim-leq :args (@t103 @t99)) % 0.38/0.59 (step @p129 :rule trans :premises (@p128 @p127)) % 0.38/0.59 (step @p36 :rule evaluate :args (@t50)) % 0.38/0.59 (step @p130 :rule arith_poly_norm :args ((= @t105 -1))) % 0.38/0.59 (step @p131 :rule cong :premises (@p130 @p28) :args ((>= @t105 0))) % 0.38/0.59 (step @p132 :rule trans :premises (@p131 @p36)) % 0.38/0.59 (step @p133 :rule arith-geq-norm1-int :args (@t103 @t99)) % 0.38/0.59 (step @p134 :rule trans :premises (@p133 @p132)) % 0.38/0.59 (step @p135 :rule nary_cong :premises (@p134 @p129) :args ((and (>= @t103 @t99) (<= @t103 @t99)))) % 0.38/0.59 (step @p136 :rule trans :premises (@p135 @p26)) % 0.38/0.59 (step @p137 :rule arith-eq-elim-int :args (@t103 @t99)) % 0.38/0.59 (step @p138 :rule trans :premises (@p137 @p136)) % 0.38/0.59 (step @p139 :rule instantiate :premises (@p198) :args ((@list @t103))) % 0.38/0.59 (step @p140 false :rule eq_resolve :premises (@p139 @p138)) % 0.38/0.59 (step-pop @p199 :rule scope :premises (@p140)) % 0.38/0.59 (step @p141 :rule process_scope :premises (@p199) :args (false)) % 0.38/0.59 (step @p143 :rule false_intro :premises (@p141)) % 0.38/0.59 (step @p144 :rule cong :premises (@p143) :args (@t106)) % 0.38/0.59 (step @p145 :rule quant-merge-prenex :args ((= @t106 @t107))) % 0.38/0.59 (step @p146 :rule symm :premises (@p145)) % 0.38/0.59 (step @p147 :rule quant_var_reordering :args ((= @t108 @t107))) % 0.38/0.59 (step @p148 :rule trans :premises (@p147 @p146 @p144)) % 0.38/0.59 (step @p149 :rule trans :premises (@p148 @p121)) % 0.38/0.59 (step @p150 :rule quant-unused-vars :args ((= @t113 @t108))) % 0.38/0.59 (step @p151 :rule trans :premises (@p150 @p149)) % 0.38/0.59 (step @p152 :rule nary_cong :premises (@p151 @p120 @p89 @p58 @p23) :args ((and @t113 @t95 @t77 @t59 @t38))) % 0.38/0.59 (step @p153 :rule trans :premises (@p152 @p5)) % 0.38/0.59 (step @p154 :rule alpha_equiv :args (@t115 @t116 (@list @t37 @t36 @t35 @t34 @t25 @t33 @t22))) % 0.38/0.59 (step @p155 :rule alpha_equiv :args (@t119 @t116 (@list @t43 @t58 @t57 @t56 @t55 @t40 @t39))) % 0.38/0.59 (step @p156 :rule alpha_equiv :args (@t122 @t116 (@list @t76 @t64 @t61 @t75 @t74 @t60 @t73))) % 0.38/0.59 (step @p157 :rule alpha_equiv :args (@t125 @t116 (@list @t94 @t93 @t82 @t79 @t78 @t92 @t91))) % 0.38/0.59 (step @p158 :rule alpha_equiv :args (@t128 @t116 (@list @t100 @t97 @t112 @t96 @t111 @t110 @t109))) % 0.38/0.59 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156 @p155 @p154) :args (@t129)) % 0.38/0.59 (step @p160 :rule quant-miniscope-and :args ((= (forall @t19 @t130) @t129))) % 0.38/0.59 (step @p161 :rule trans :premises (@p160 @p159)) % 0.38/0.59 (step @p162 :rule trans :premises (@p161 @p153)) % 0.38/0.59 (step @p163 :rule aci_norm :args ((= (and @t131 @t114) @t130))) % 0.38/0.59 (step @p164 :rule bool-implies-de-morgan :args (@t131 @t3)) % 0.38/0.59 (step @p165 :rule trans :premises (@p164 @p163)) % 0.38/0.59 (step @p166 :rule cong :premises (@p165) :args (@t133)) % 0.38/0.59 (step @p167 :rule trans :premises (@p166 @p162)) % 0.38/0.59 (step @p168 :rule cong :premises (@p167) :args (@t134)) % 0.38/0.59 (step @p169 :rule trans :premises (@p168 @p4)) % 0.38/0.59 (step @p170 :rule exists-elim :args ((= (exists @t19 @t132) @t134))) % 0.38/0.59 (step @p171 :rule trans :premises (@p170 @p169)) % 0.38/0.59 (step @p172 :rule refl :args (@t3)) % 0.38/0.59 (step @p173 :rule arith_poly_norm :args ((= (* 1 (- @t6 @t1)) (* 1 (- @t5 @t117))))) % 0.38/0.59 (step @p174 :rule arith_poly_norm_rel :premises (@p173) :args ((= @t7 @t118))) % 0.38/0.59 (step @p175 :rule arith_poly_norm :args ((= (* 1 (- @t10 @t4)) (* 1 (- @t9 @t120))))) % 0.38/0.59 (step @p176 :rule arith_poly_norm_rel :premises (@p175) :args ((= @t11 @t121))) % 0.38/0.59 (step @p177 :rule arith_poly_norm :args ((= (* 1 (- @t135 @t2)) (* 1 (- @t8 @t123))))) % 0.38/0.59 (step @p178 :rule arith_poly_norm_rel :premises (@p177) :args ((= (= @t135 @t2) @t124))) % 0.38/0.59 (step @p179 :rule refl :args (@t2)) % 0.38/0.59 (step @p180 :rule arith_poly_norm :args ((= @t13 @t135))) % 0.38/0.59 (step @p181 :rule cong :premises (@p180 @p179) :args (@t14)) % 0.38/0.59 (step @p182 :rule trans :premises (@p181 @p178)) % 0.38/0.59 (step @p183 :rule arith_poly_norm :args ((= (* 1 (- @t15 @t12)) (* 1 (- @t5 @t126))))) % 0.38/0.59 (step @p184 :rule arith_poly_norm_rel :premises (@p183) :args ((= @t16 @t127))) % 0.38/0.59 (step @p185 :rule nary_cong :premises (@p184 @p182 @p176 @p174) :args (@t17)) % 0.38/0.59 (step @p186 :rule cong :premises (@p185 @p172) :args (@t18)) % 0.38/0.59 (step @p187 :rule cong :premises (@p186) :args (@t20)) % 0.38/0.59 (step @p188 :rule trans :premises (@p187 @p171)) % 0.38/0.59 (step @p189 :rule cong :premises (@p188) :args (@t21)) % 0.38/0.59 (step @p190 :rule trans :premises (@p189 @p3)) % 0.38/0.59 (step @p191 false :rule eq_resolve :premises (@p1 @p190)) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------