%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI123_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 : n026.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 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : ARI123_1 : TPTP v9.2.1. Released v5.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n026.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 02:26:10 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_ARI % 0.39/0.58 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (define @t1 () (@var "Z4" Int)) % 0.39/0.58 (define @t2 () (@var "Z2" Int)) % 0.39/0.58 (define @t3 () (= @t2 @t1)) % 0.39/0.58 (define @t4 () (@var "Z3" Int)) % 0.39/0.58 (define @t5 () (@var "X" Int)) % 0.39/0.58 (define @t6 () (* @t5 @t4)) % 0.39/0.58 (define @t7 () (= @t6 @t1)) % 0.39/0.58 (define @t8 () (@var "Z" Int)) % 0.39/0.58 (define @t9 () (@var "Y" Int)) % 0.39/0.58 (define @t10 () (* @t9 @t8)) % 0.39/0.58 (define @t11 () (= @t10 @t4)) % 0.39/0.58 (define @t12 () (@var "Z1" Int)) % 0.39/0.58 (define @t13 () (* @t12 @t8)) % 0.39/0.58 (define @t14 () (= @t13 @t2)) % 0.39/0.58 (define @t15 () (* @t5 @t9)) % 0.39/0.58 (define @t16 () (= @t15 @t12)) % 0.39/0.58 (define @t17 () (and @t16 @t14 @t11 @t7)) % 0.39/0.58 (define @t18 () (=> @t17 @t3)) % 0.39/0.58 (define @t19 () (@list @t5 @t9 @t8 @t12 @t2 @t4 @t1)) % 0.39/0.58 (define @t20 () (exists @t19 @t18)) % 0.39/0.58 (define @t21 () (not @t20)) % 0.39/0.58 (define @t22 () (@var "BOUND_VARIABLE_7535" Int)) % 0.39/0.58 (define @t23 () (@list @t22)) % 0.39/0.58 (define @t24 () (not (= @t22 @t22))) % 0.39/0.58 (define @t25 () (@var "BOUND_VARIABLE_7531" Int)) % 0.39/0.58 (define @t26 () (not (= @t25 @t22))) % 0.39/0.58 (define @t27 () (or @t26 @t26)) % 0.39/0.58 (define @t28 () (@list @t25)) % 0.39/0.58 (define @t29 () (forall @t28 @t26)) % 0.39/0.58 (define @t30 () (forall @t23 @t29)) % 0.39/0.58 (define @t31 () (forall (@list @t22 @t25) @t26)) % 0.39/0.58 (define @t32 () (forall (@list @t25 @t22) @t26)) % 0.39/0.58 (define @t33 () (@var "BOUND_VARIABLE_7533" Int)) % 0.39/0.58 (define @t34 () (@var "BOUND_VARIABLE_7529" Int)) % 0.39/0.58 (define @t35 () (@var "BOUND_VARIABLE_7527" Int)) % 0.39/0.58 (define @t36 () (@var "BOUND_VARIABLE_7525" Int)) % 0.39/0.58 (define @t37 () (@var "BOUND_VARIABLE_7523" Int)) % 0.39/0.58 (define @t38 () (forall (@list @t37 @t36 @t35 @t34 @t25 @t33 @t22) @t26)) % 0.39/0.58 (define @t39 () (@var "BOUND_VARIABLE_7514" Int)) % 0.39/0.58 (define @t40 () (@var "BOUND_VARIABLE_7504" Int)) % 0.39/0.58 (define @t41 () (@list @t40 @t39)) % 0.39/0.58 (define @t42 () (* @t40 @t39)) % 0.39/0.58 (define @t43 () (@var "BOUND_VARIABLE_7516" Int)) % 0.39/0.58 (define @t44 () (= @t43 @t42)) % 0.39/0.58 (define @t45 () (forall (@list @t43) @t44)) % 0.39/0.58 (define @t46 () (and false true)) % 0.39/0.58 (define @t47 () (>= 1 0)) % 0.39/0.58 (define @t48 () (+ (* -1 (* -1 @t42)) -1)) % 0.39/0.58 (define @t49 () (- @t42 @t48)) % 0.39/0.58 (define @t50 () (>= -1 0)) % 0.39/0.58 (define @t51 () (- @t48 @t42)) % 0.39/0.58 (define @t52 () (forall @t41 @t45)) % 0.39/0.58 (define @t53 () (forall (@list @t40 @t39 @t43) @t44)) % 0.39/0.58 (define @t54 () (@var "BOUND_VARIABLE_7512" Int)) % 0.39/0.58 (define @t55 () (@var "BOUND_VARIABLE_7510" Int)) % 0.39/0.58 (define @t56 () (@var "BOUND_VARIABLE_7508" Int)) % 0.39/0.58 (define @t57 () (@var "BOUND_VARIABLE_7506" Int)) % 0.39/0.58 (define @t58 () (forall (@list @t40 @t57 @t56 @t55 @t54 @t39 @t43) @t44)) % 0.39/0.58 (define @t59 () (@var "BOUND_VARIABLE_7489" Int)) % 0.39/0.58 (define @t60 () (@var "BOUND_VARIABLE_7487" Int)) % 0.39/0.58 (define @t61 () (@list @t60 @t59)) % 0.39/0.58 (define @t62 () (* @t60 @t59)) % 0.39/0.58 (define @t63 () (@var "BOUND_VARIABLE_7495" Int)) % 0.39/0.58 (define @t64 () (= @t63 @t62)) % 0.39/0.58 (define @t65 () (forall (@list @t63) @t64)) % 0.39/0.58 (define @t66 () (+ (* -1 (* -1 @t62)) -1)) % 0.39/0.58 (define @t67 () (- @t62 @t66)) % 0.39/0.58 (define @t68 () (- @t66 @t62)) % 0.39/0.58 (define @t69 () (forall @t61 @t65)) % 0.39/0.58 (define @t70 () (forall (@list @t60 @t59 @t63) @t64)) % 0.39/0.58 (define @t71 () (@var "BOUND_VARIABLE_7497" Int)) % 0.39/0.58 (define @t72 () (@var "BOUND_VARIABLE_7493" Int)) % 0.39/0.58 (define @t73 () (@var "BOUND_VARIABLE_7491" Int)) % 0.39/0.58 (define @t74 () (@var "BOUND_VARIABLE_7485" Int)) % 0.39/0.58 (define @t75 () (forall (@list @t74 @t60 @t59 @t73 @t72 @t63 @t71) @t64)) % 0.39/0.58 (define @t76 () (@var "BOUND_VARIABLE_7473" Int)) % 0.39/0.58 (define @t77 () (@var "BOUND_VARIABLE_7471" Int)) % 0.39/0.58 (define @t78 () (@list @t77 @t76)) % 0.39/0.58 (define @t79 () (* @t77 @t76)) % 0.39/0.58 (define @t80 () (@var "BOUND_VARIABLE_7475" Int)) % 0.39/0.58 (define @t81 () (= @t80 @t79)) % 0.39/0.58 (define @t82 () (forall (@list @t80) @t81)) % 0.39/0.58 (define @t83 () (+ (* -1 (* -1 @t79)) -1)) % 0.39/0.58 (define @t84 () (- @t79 @t83)) % 0.39/0.58 (define @t85 () (- @t83 @t79)) % 0.39/0.58 (define @t86 () (forall @t78 @t82)) % 0.39/0.58 (define @t87 () (forall (@list @t77 @t76 @t80) @t81)) % 0.39/0.58 (define @t88 () (@var "BOUND_VARIABLE_7479" Int)) % 0.39/0.58 (define @t89 () (@var "BOUND_VARIABLE_7477" Int)) % 0.39/0.58 (define @t90 () (@var "BOUND_VARIABLE_7469" Int)) % 0.39/0.58 (define @t91 () (@var "BOUND_VARIABLE_7467" Int)) % 0.39/0.58 (define @t92 () (forall (@list @t91 @t90 @t77 @t76 @t80 @t89 @t88) @t81)) % 0.39/0.58 (define @t93 () (@var "BOUND_VARIABLE_7451" Int)) % 0.39/0.58 (define @t94 () (@var "BOUND_VARIABLE_7449" Int)) % 0.39/0.58 (define @t95 () (@list @t94 @t93)) % 0.39/0.58 (define @t96 () (* @t94 @t93)) % 0.39/0.58 (define @t97 () (@var "BOUND_VARIABLE_7455" Int)) % 0.39/0.58 (define @t98 () (= @t97 @t96)) % 0.39/0.58 (define @t99 () (forall (@list @t97) @t98)) % 0.39/0.58 (define @t100 () (+ (* -1 (* -1 @t96)) -1)) % 0.39/0.58 (define @t101 () (- @t96 @t100)) % 0.39/0.58 (define @t102 () (- @t100 @t96)) % 0.39/0.58 (define @t103 () (forall @t95 @t99)) % 0.39/0.58 (define @t104 () (forall (@list @t94 @t93 @t97) @t98)) % 0.39/0.58 (define @t105 () (@var "BOUND_VARIABLE_7461" Int)) % 0.39/0.58 (define @t106 () (@var "BOUND_VARIABLE_7459" Int)) % 0.39/0.58 (define @t107 () (@var "BOUND_VARIABLE_7457" Int)) % 0.39/0.58 (define @t108 () (@var "BOUND_VARIABLE_7453" Int)) % 0.39/0.58 (define @t109 () (forall (@list @t94 @t93 @t108 @t97 @t107 @t106 @t105) @t98)) % 0.39/0.58 (define @t110 () (not @t3)) % 0.39/0.58 (define @t111 () (forall @t19 @t110)) % 0.39/0.58 (define @t112 () (@list @t5 @t9 @t8 @t12 @t2 @t4 @t1)) % 0.39/0.58 (define @t113 () (* @t5 @t4)) % 0.39/0.58 (define @t114 () (= @t1 @t113)) % 0.39/0.58 (define @t115 () (forall @t19 @t114)) % 0.39/0.58 (define @t116 () (* @t9 @t8)) % 0.39/0.58 (define @t117 () (= @t4 @t116)) % 0.39/0.58 (define @t118 () (forall @t19 @t117)) % 0.39/0.58 (define @t119 () (* @t8 @t12)) % 0.39/0.58 (define @t120 () (= @t2 @t119)) % 0.39/0.58 (define @t121 () (forall @t19 @t120)) % 0.39/0.58 (define @t122 () (* @t5 @t9)) % 0.39/0.58 (define @t123 () (= @t12 @t122)) % 0.39/0.58 (define @t124 () (forall @t19 @t123)) % 0.39/0.58 (define @t125 () (and @t124 @t121 @t118 @t115 @t111)) % 0.39/0.58 (define @t126 () (and @t123 @t120 @t117 @t114 @t110)) % 0.39/0.58 (define @t127 () (and @t123 @t120 @t117 @t114)) % 0.39/0.58 (define @t128 () (=> @t127 @t3)) % 0.39/0.58 (define @t129 () (forall @t19 (not @t128))) % 0.39/0.58 (define @t130 () (not @t129)) % 0.39/0.58 (assume @p1 @t21) % 0.39/0.58 (assume @p2 true) % 0.39/0.58 (step @p3 :rule evaluate :args ((not true))) % 0.39/0.58 (step @p4 :rule evaluate :args ((not false))) % 0.39/0.58 (step @p5 :rule evaluate :args ((and false false false false false))) % 0.39/0.58 (step @p6 :rule quant-unused-vars :args ((= (forall @t23 false) false))) % 0.39/0.58 (step @p7 :rule eq-refl :args (@t22)) % 0.39/0.58 (step @p8 :rule cong :premises (@p7) :args (@t24)) % 0.39/0.58 (step @p9 :rule trans :premises (@p8 @p3)) % 0.39/0.58 (step @p10 :rule cong :premises (@p9) :args ((forall @t23 @t24))) % 0.39/0.58 (step @p11 :rule trans :premises (@p10 @p6)) % 0.39/0.58 (step @p12 :rule quant-var-elim-eq :args ((= (forall @t28 @t27) @t24))) % 0.39/0.58 (step @p13 :rule aci_norm :args ((= @t26 @t27))) % 0.39/0.58 (step @p14 :rule cong :premises (@p13) :args (@t29)) % 0.39/0.58 (step @p15 :rule trans :premises (@p14 @p12)) % 0.39/0.58 (step @p16 :rule cong :premises (@p15) :args (@t30)) % 0.39/0.58 (step @p17 :rule quant-merge-prenex :args ((= @t30 @t31))) % 0.39/0.58 (step @p18 :rule symm :premises (@p17)) % 0.39/0.58 (step @p19 :rule quant_var_reordering :args ((= @t32 @t31))) % 0.39/0.58 (step @p20 :rule trans :premises (@p19 @p18 @p16)) % 0.39/0.58 (step @p21 :rule trans :premises (@p20 @p11)) % 0.39/0.58 (step @p22 :rule quant-unused-vars :args ((= @t38 @t32))) % 0.39/0.58 (step @p23 :rule trans :premises (@p22 @p21)) % 0.39/0.58 (step @p24 :rule quant-unused-vars :args ((= (forall @t41 false) false))) % 0.39/0.58 (assume-push @p200 @t45) % 0.39/0.58 (step @p26 :rule evaluate :args (@t46)) % 0.39/0.58 (step @p27 :rule evaluate :args (@t47)) % 0.39/0.58 (step @p28 :rule refl :args (0)) % 0.39/0.58 (step @p29 :rule arith_poly_norm :args ((= @t49 1))) % 0.39/0.58 (step @p30 :rule cong :premises (@p29 @p28) :args ((>= @t49 0))) % 0.39/0.58 (step @p31 :rule trans :premises (@p30 @p27)) % 0.39/0.58 (step @p32 :rule arith-geq-norm1-int :args (@t42 @t48)) % 0.39/0.58 (step @p33 :rule trans :premises (@p32 @p31)) % 0.39/0.58 (step @p34 :rule arith-elim-leq :args (@t48 @t42)) % 0.39/0.58 (step @p35 :rule trans :premises (@p34 @p33)) % 0.39/0.58 (step @p36 :rule evaluate :args (@t50)) % 0.39/0.58 (step @p37 :rule arith_poly_norm :args ((= @t51 -1))) % 0.39/0.58 (step @p38 :rule cong :premises (@p37 @p28) :args ((>= @t51 0))) % 0.39/0.58 (step @p39 :rule trans :premises (@p38 @p36)) % 0.39/0.58 (step @p40 :rule arith-geq-norm1-int :args (@t48 @t42)) % 0.39/0.58 (step @p41 :rule trans :premises (@p40 @p39)) % 0.39/0.58 (step @p42 :rule nary_cong :premises (@p41 @p35) :args ((and (>= @t48 @t42) (<= @t48 @t42)))) % 0.39/0.58 (step @p43 :rule trans :premises (@p42 @p26)) % 0.39/0.58 (step @p44 :rule arith-eq-elim-int :args (@t48 @t42)) % 0.39/0.58 (step @p45 :rule trans :premises (@p44 @p43)) % 0.39/0.58 (step @p46 :rule instantiate :premises (@p200) :args ((@list @t48))) % 0.39/0.58 (step @p47 false :rule eq_resolve :premises (@p46 @p45)) % 0.39/0.58 (step-pop @p201 :rule scope :premises (@p47)) % 0.39/0.58 (step @p48 :rule process_scope :premises (@p201) :args (false)) % 0.39/0.58 (step @p50 :rule false_intro :premises (@p48)) % 0.39/0.58 (step @p51 :rule cong :premises (@p50) :args (@t52)) % 0.39/0.58 (step @p52 :rule quant-merge-prenex :args ((= @t52 @t53))) % 0.39/0.58 (step @p53 :rule symm :premises (@p52)) % 0.39/0.58 (step @p54 :rule trans :premises (@p53 @p51)) % 0.39/0.58 (step @p55 :rule trans :premises (@p54 @p24)) % 0.39/0.58 (step @p56 :rule quant-unused-vars :args ((= @t58 @t53))) % 0.39/0.58 (step @p57 :rule trans :premises (@p56 @p55)) % 0.39/0.58 (step @p58 :rule quant-unused-vars :args ((= (forall @t61 false) false))) % 0.39/0.58 (assume-push @p202 @t65) % 0.39/0.58 (step @p26 :rule evaluate :args (@t46)) % 0.39/0.58 (step @p27 :rule evaluate :args (@t47)) % 0.39/0.58 (step @p28 :rule refl :args (0)) % 0.39/0.58 (step @p60 :rule arith_poly_norm :args ((= @t67 1))) % 0.39/0.58 (step @p61 :rule cong :premises (@p60 @p28) :args ((>= @t67 0))) % 0.39/0.58 (step @p62 :rule trans :premises (@p61 @p27)) % 0.39/0.58 (step @p63 :rule arith-geq-norm1-int :args (@t62 @t66)) % 0.39/0.58 (step @p64 :rule trans :premises (@p63 @p62)) % 0.39/0.58 (step @p65 :rule arith-elim-leq :args (@t66 @t62)) % 0.39/0.58 (step @p66 :rule trans :premises (@p65 @p64)) % 0.39/0.58 (step @p36 :rule evaluate :args (@t50)) % 0.39/0.58 (step @p67 :rule arith_poly_norm :args ((= @t68 -1))) % 0.39/0.58 (step @p68 :rule cong :premises (@p67 @p28) :args ((>= @t68 0))) % 0.39/0.58 (step @p69 :rule trans :premises (@p68 @p36)) % 0.39/0.58 (step @p70 :rule arith-geq-norm1-int :args (@t66 @t62)) % 0.39/0.58 (step @p71 :rule trans :premises (@p70 @p69)) % 0.39/0.58 (step @p72 :rule nary_cong :premises (@p71 @p66) :args ((and (>= @t66 @t62) (<= @t66 @t62)))) % 0.39/0.58 (step @p73 :rule trans :premises (@p72 @p26)) % 0.39/0.58 (step @p74 :rule arith-eq-elim-int :args (@t66 @t62)) % 0.39/0.58 (step @p75 :rule trans :premises (@p74 @p73)) % 0.39/0.58 (step @p76 :rule instantiate :premises (@p202) :args ((@list @t66))) % 0.39/0.58 (step @p77 false :rule eq_resolve :premises (@p76 @p75)) % 0.39/0.58 (step-pop @p203 :rule scope :premises (@p77)) % 0.39/0.58 (step @p78 :rule process_scope :premises (@p203) :args (false)) % 0.39/0.58 (step @p80 :rule false_intro :premises (@p78)) % 0.39/0.58 (step @p81 :rule cong :premises (@p80) :args (@t69)) % 0.39/0.58 (step @p82 :rule quant-merge-prenex :args ((= @t69 @t70))) % 0.39/0.58 (step @p83 :rule symm :premises (@p82)) % 0.39/0.58 (step @p84 :rule trans :premises (@p83 @p81)) % 0.39/0.58 (step @p85 :rule trans :premises (@p84 @p58)) % 0.39/0.58 (step @p86 :rule quant-unused-vars :args ((= @t75 @t70))) % 0.39/0.58 (step @p87 :rule trans :premises (@p86 @p85)) % 0.39/0.58 (step @p88 :rule quant-unused-vars :args ((= (forall @t78 false) false))) % 0.39/0.58 (assume-push @p204 @t82) % 0.39/0.58 (step @p26 :rule evaluate :args (@t46)) % 0.39/0.58 (step @p27 :rule evaluate :args (@t47)) % 0.39/0.58 (step @p28 :rule refl :args (0)) % 0.39/0.58 (step @p90 :rule arith_poly_norm :args ((= @t84 1))) % 0.39/0.58 (step @p91 :rule cong :premises (@p90 @p28) :args ((>= @t84 0))) % 0.39/0.58 (step @p92 :rule trans :premises (@p91 @p27)) % 0.39/0.58 (step @p93 :rule arith-geq-norm1-int :args (@t79 @t83)) % 0.39/0.58 (step @p94 :rule trans :premises (@p93 @p92)) % 0.39/0.58 (step @p95 :rule arith-elim-leq :args (@t83 @t79)) % 0.39/0.58 (step @p96 :rule trans :premises (@p95 @p94)) % 0.39/0.58 (step @p36 :rule evaluate :args (@t50)) % 0.39/0.58 (step @p97 :rule arith_poly_norm :args ((= @t85 -1))) % 0.39/0.58 (step @p98 :rule cong :premises (@p97 @p28) :args ((>= @t85 0))) % 0.39/0.58 (step @p99 :rule trans :premises (@p98 @p36)) % 0.39/0.58 (step @p100 :rule arith-geq-norm1-int :args (@t83 @t79)) % 0.39/0.58 (step @p101 :rule trans :premises (@p100 @p99)) % 0.39/0.58 (step @p102 :rule nary_cong :premises (@p101 @p96) :args ((and (>= @t83 @t79) (<= @t83 @t79)))) % 0.39/0.58 (step @p103 :rule trans :premises (@p102 @p26)) % 0.39/0.58 (step @p104 :rule arith-eq-elim-int :args (@t83 @t79)) % 0.39/0.58 (step @p105 :rule trans :premises (@p104 @p103)) % 0.39/0.58 (step @p106 :rule instantiate :premises (@p204) :args ((@list @t83))) % 0.39/0.58 (step @p107 false :rule eq_resolve :premises (@p106 @p105)) % 0.39/0.58 (step-pop @p205 :rule scope :premises (@p107)) % 0.39/0.58 (step @p108 :rule process_scope :premises (@p205) :args (false)) % 0.39/0.58 (step @p110 :rule false_intro :premises (@p108)) % 0.39/0.58 (step @p111 :rule cong :premises (@p110) :args (@t86)) % 0.39/0.58 (step @p112 :rule quant-merge-prenex :args ((= @t86 @t87))) % 0.39/0.58 (step @p113 :rule symm :premises (@p112)) % 0.39/0.58 (step @p114 :rule trans :premises (@p113 @p111)) % 0.39/0.58 (step @p115 :rule trans :premises (@p114 @p88)) % 0.39/0.58 (step @p116 :rule quant-unused-vars :args ((= @t92 @t87))) % 0.39/0.58 (step @p117 :rule trans :premises (@p116 @p115)) % 0.39/0.58 (step @p118 :rule quant-unused-vars :args ((= (forall @t95 false) false))) % 0.39/0.58 (assume-push @p206 @t99) % 0.39/0.58 (step @p26 :rule evaluate :args (@t46)) % 0.39/0.58 (step @p27 :rule evaluate :args (@t47)) % 0.39/0.58 (step @p28 :rule refl :args (0)) % 0.39/0.58 (step @p120 :rule arith_poly_norm :args ((= @t101 1))) % 0.39/0.58 (step @p121 :rule cong :premises (@p120 @p28) :args ((>= @t101 0))) % 0.39/0.58 (step @p122 :rule trans :premises (@p121 @p27)) % 0.39/0.58 (step @p123 :rule arith-geq-norm1-int :args (@t96 @t100)) % 0.39/0.58 (step @p124 :rule trans :premises (@p123 @p122)) % 0.39/0.58 (step @p125 :rule arith-elim-leq :args (@t100 @t96)) % 0.39/0.58 (step @p126 :rule trans :premises (@p125 @p124)) % 0.39/0.58 (step @p36 :rule evaluate :args (@t50)) % 0.39/0.58 (step @p127 :rule arith_poly_norm :args ((= @t102 -1))) % 0.39/0.58 (step @p128 :rule cong :premises (@p127 @p28) :args ((>= @t102 0))) % 0.39/0.58 (step @p129 :rule trans :premises (@p128 @p36)) % 0.39/0.58 (step @p130 :rule arith-geq-norm1-int :args (@t100 @t96)) % 0.39/0.58 (step @p131 :rule trans :premises (@p130 @p129)) % 0.39/0.58 (step @p132 :rule nary_cong :premises (@p131 @p126) :args ((and (>= @t100 @t96) (<= @t100 @t96)))) % 0.39/0.58 (step @p133 :rule trans :premises (@p132 @p26)) % 0.39/0.58 (step @p134 :rule arith-eq-elim-int :args (@t100 @t96)) % 0.39/0.58 (step @p135 :rule trans :premises (@p134 @p133)) % 0.39/0.58 (step @p136 :rule instantiate :premises (@p206) :args ((@list @t100))) % 0.39/0.58 (step @p137 false :rule eq_resolve :premises (@p136 @p135)) % 0.39/0.58 (step-pop @p207 :rule scope :premises (@p137)) % 0.39/0.58 (step @p138 :rule process_scope :premises (@p207) :args (false)) % 0.39/0.58 (step @p140 :rule false_intro :premises (@p138)) % 0.39/0.58 (step @p141 :rule cong :premises (@p140) :args (@t103)) % 0.39/0.58 (step @p142 :rule quant-merge-prenex :args ((= @t103 @t104))) % 0.39/0.58 (step @p143 :rule symm :premises (@p142)) % 0.39/0.58 (step @p144 :rule trans :premises (@p143 @p141)) % 0.39/0.58 (step @p145 :rule trans :premises (@p144 @p118)) % 0.39/0.58 (step @p146 :rule quant-unused-vars :args ((= @t109 @t104))) % 0.39/0.58 (step @p147 :rule trans :premises (@p146 @p145)) % 0.39/0.58 (step @p148 :rule nary_cong :premises (@p147 @p117 @p87 @p57 @p23) :args ((and @t109 @t92 @t75 @t58 @t38))) % 0.39/0.58 (step @p149 :rule trans :premises (@p148 @p5)) % 0.39/0.58 (step @p150 :rule alpha_equiv :args (@t111 @t112 (@list @t37 @t36 @t35 @t34 @t25 @t33 @t22))) % 0.39/0.58 (step @p151 :rule alpha_equiv :args (@t115 @t112 (@list @t40 @t57 @t56 @t55 @t54 @t39 @t43))) % 0.39/0.58 (step @p152 :rule alpha_equiv :args (@t118 @t112 (@list @t74 @t60 @t59 @t73 @t72 @t63 @t71))) % 0.39/0.58 (step @p153 :rule alpha_equiv :args (@t121 @t112 (@list @t91 @t90 @t77 @t76 @t80 @t89 @t88))) % 0.39/0.58 (step @p154 :rule alpha_equiv :args (@t124 @t112 (@list @t94 @t93 @t108 @t97 @t107 @t106 @t105))) % 0.39/0.58 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152 @p151 @p150) :args (@t125)) % 0.39/0.58 (step @p156 :rule quant-miniscope-and :args ((= (forall @t19 @t126) @t125))) % 0.39/0.58 (step @p157 :rule trans :premises (@p156 @p155)) % 0.39/0.58 (step @p158 :rule trans :premises (@p157 @p149)) % 0.39/0.58 (step @p159 :rule aci_norm :args ((= (and @t127 @t110) @t126))) % 0.39/0.58 (step @p160 :rule bool-implies-de-morgan :args (@t127 @t3)) % 0.39/0.58 (step @p161 :rule trans :premises (@p160 @p159)) % 0.39/0.58 (step @p162 :rule cong :premises (@p161) :args (@t129)) % 0.39/0.58 (step @p163 :rule trans :premises (@p162 @p158)) % 0.39/0.58 (step @p164 :rule cong :premises (@p163) :args (@t130)) % 0.39/0.58 (step @p165 :rule trans :premises (@p164 @p4)) % 0.39/0.58 (step @p166 :rule exists-elim :args ((= (exists @t19 @t128) @t130))) % 0.39/0.58 (step @p167 :rule trans :premises (@p166 @p165)) % 0.39/0.58 (step @p168 :rule refl :args (@t3)) % 0.39/0.58 (step @p169 :rule arith_poly_norm :args ((= (* 1 (- @t113 @t1)) (* -1 (- @t1 @t113))))) % 0.39/0.58 (step @p170 :rule arith_poly_norm_rel :premises (@p169) :args ((= (= @t113 @t1) @t114))) % 0.39/0.58 (step @p171 :rule refl :args (@t1)) % 0.39/0.58 (step @p172 :rule arith_poly_norm :args ((= @t6 @t113))) % 0.39/0.58 (step @p173 :rule cong :premises (@p172 @p171) :args (@t7)) % 0.39/0.58 (step @p174 :rule trans :premises (@p173 @p170)) % 0.39/0.58 (step @p175 :rule arith_poly_norm :args ((= (* 1 (- @t116 @t4)) (* -1 (- @t4 @t116))))) % 0.39/0.58 (step @p176 :rule arith_poly_norm_rel :premises (@p175) :args ((= (= @t116 @t4) @t117))) % 0.39/0.58 (step @p177 :rule refl :args (@t4)) % 0.39/0.58 (step @p178 :rule arith_poly_norm :args ((= @t10 @t116))) % 0.39/0.58 (step @p179 :rule cong :premises (@p178 @p177) :args (@t11)) % 0.39/0.58 (step @p180 :rule trans :premises (@p179 @p176)) % 0.39/0.58 (step @p181 :rule arith_poly_norm :args ((= (* 1 (- @t119 @t2)) (* -1 (- @t2 @t119))))) % 0.39/0.58 (step @p182 :rule arith_poly_norm_rel :premises (@p181) :args ((= (= @t119 @t2) @t120))) % 0.39/0.58 (step @p183 :rule refl :args (@t2)) % 0.39/0.58 (step @p184 :rule arith_poly_norm :args ((= @t13 @t119))) % 0.39/0.58 (step @p185 :rule cong :premises (@p184 @p183) :args (@t14)) % 0.39/0.58 (step @p186 :rule trans :premises (@p185 @p182)) % 0.39/0.58 (step @p187 :rule arith_poly_norm :args ((= (* 1 (- @t122 @t12)) (* -1 (- @t12 @t122))))) % 0.39/0.59 (step @p188 :rule arith_poly_norm_rel :premises (@p187) :args ((= (= @t122 @t12) @t123))) % 0.39/0.59 (step @p189 :rule refl :args (@t12)) % 0.39/0.59 (step @p190 :rule arith_poly_norm :args ((= @t15 @t122))) % 0.39/0.59 (step @p191 :rule cong :premises (@p190 @p189) :args (@t16)) % 0.39/0.59 (step @p192 :rule trans :premises (@p191 @p188)) % 0.39/0.59 (step @p193 :rule nary_cong :premises (@p192 @p186 @p180 @p174) :args (@t17)) % 0.39/0.59 (step @p194 :rule cong :premises (@p193 @p168) :args (@t18)) % 0.39/0.59 (step @p195 :rule cong :premises (@p194) :args (@t20)) % 0.39/0.59 (step @p196 :rule trans :premises (@p195 @p167)) % 0.39/0.59 (step @p197 :rule cong :premises (@p196) :args (@t21)) % 0.39/0.59 (step @p198 :rule trans :premises (@p197 @p3)) % 0.39/0.59 (step @p199 false :rule eq_resolve :premises (@p1 @p198)) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------