%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI585_1 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:07:55 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI585_1 : TPTP v9.2.1. Released v5.1.0. % 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 : n009.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 02:29:29 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_ARI % 0.38/0.60 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (define @t1 () (@var "Y" Int)) % 0.38/0.60 (define @t2 () (+ @t1 4)) % 0.38/0.60 (define @t3 () (@var "Z" Int)) % 0.38/0.60 (define @t4 () (and (< @t1 @t3) (< @t3 @t2))) % 0.38/0.60 (define @t5 () (@var "X" Int)) % 0.38/0.60 (define @t6 () (+ @t5 8)) % 0.38/0.60 (define @t7 () (+ @t5 5)) % 0.38/0.60 (define @t8 () (and (< @t7 @t3) (< @t3 @t6))) % 0.38/0.60 (define @t9 () (=> @t8 @t4)) % 0.38/0.60 (define @t10 () (@list @t3)) % 0.38/0.60 (define @t11 () (forall @t10 @t9)) % 0.38/0.60 (define @t12 () (@list @t1)) % 0.38/0.60 (define @t13 () (exists @t12 @t11)) % 0.38/0.60 (define @t14 () (@list @t5)) % 0.38/0.60 (define @t15 () (forall @t14 @t13)) % 0.38/0.60 (define @t16 () (not @t15)) % 0.38/0.60 (define @t17 () (* -1 -7)) % 0.38/0.60 (define @t18 () (+ -9 @t17)) % 0.38/0.60 (define @t19 () (* -1 @t3)) % 0.38/0.60 (define @t20 () (+ @t1 @t19)) % 0.38/0.60 (define @t21 () (>= @t20 -3)) % 0.38/0.60 (define @t22 () (>= @t20 0)) % 0.38/0.60 (define @t23 () (and (not @t22) @t21)) % 0.38/0.60 (define @t24 () (+ @t5 @t19)) % 0.38/0.60 (define @t25 () (>= @t24 -7)) % 0.38/0.60 (define @t26 () (not @t25)) % 0.38/0.60 (define @t27 () (>= @t24 -5)) % 0.38/0.60 (define @t28 () (or @t27 @t26 @t23)) % 0.38/0.60 (define @t29 () (forall @t10 @t28)) % 0.38/0.60 (define @t30 () (not (forall @t12 (not @t29)))) % 0.38/0.60 (define @t31 () (forall @t14 @t30)) % 0.38/0.60 (define @t32 () (@quantifiers_skolemize @t31 0)) % 0.38/0.60 (define @t33 () (* 0 @t32)) % 0.38/0.60 (define @t34 () (* -1 @t32)) % 0.38/0.60 (define @t35 () (+ @t3 @t34)) % 0.38/0.60 (define @t36 () (>= @t35 6)) % 0.38/0.60 (define @t37 () (>= @t35 8)) % 0.38/0.60 (define @t38 () (not @t36)) % 0.38/0.60 (define @t39 () (forall @t10 (or @t38 @t37 (and @t36 (not (>= @t35 9)))))) % 0.38/0.60 (define @t40 () (@quantifiers_skolemize @t39 0)) % 0.38/0.60 (define @t41 () (* 0 @t40)) % 0.38/0.60 (define @t42 () (+ @t41 @t33)) % 0.38/0.60 (define @t43 () (+ @t32 (* -1 @t40))) % 0.38/0.60 (define @t44 () (+ @t43 (* -1 @t43))) % 0.38/0.60 (define @t45 () (>= @t43 -7)) % 0.38/0.60 (define @t46 () (not @t27)) % 0.38/0.60 (define @t47 () (and @t46 @t25)) % 0.38/0.60 (define @t48 () (+ 4 @t1)) % 0.38/0.60 (define @t49 () (+ @t20 1)) % 0.38/0.60 (define @t50 () (>= @t3 @t2)) % 0.38/0.60 (define @t51 () (>= @t1 @t3)) % 0.38/0.60 (define @t52 () (+ 8 @t5)) % 0.38/0.60 (define @t53 () (+ @t24 1)) % 0.38/0.60 (define @t54 () (>= @t3 @t6)) % 0.38/0.60 (define @t55 () (+ 5 @t5)) % 0.38/0.60 (define @t56 () (>= @t7 @t3)) % 0.38/0.60 (define @t57 () (forall @t12 (not (forall @t10 (or @t38 @t37 @t23))))) % 0.38/0.60 (define @t58 () (not @t31)) % 0.38/0.60 (define @t59 () (+ @t19 @t32)) % 0.38/0.60 (define @t60 () (+ @t35 1)) % 0.38/0.60 (define @t61 () (+ @t32 @t19)) % 0.38/0.60 (define @t62 () (>= @t61 -7)) % 0.38/0.60 (define @t63 () (not @t62)) % 0.38/0.60 (define @t64 () (* 5 (- 6 @t60))) % 0.38/0.60 (define @t65 () (>= 6 @t60)) % 0.38/0.60 (define @t66 () (>= @t61 -5)) % 0.38/0.60 (define @t67 () (or @t66 @t63 @t23)) % 0.38/0.60 (define @t68 () (forall @t10 @t67)) % 0.38/0.60 (define @t69 () (not @t68)) % 0.38/0.60 (define @t70 () (forall @t12 @t69)) % 0.38/0.60 (define @t71 () (not (not @t70))) % 0.38/0.60 (define @t72 () (@list true)) % 0.38/0.60 (define @t73 () (+ 5 @t19 @t32)) % 0.38/0.60 (define @t74 () (+ @t32 @t19 5)) % 0.38/0.60 (define @t75 () (+ 5 @t32)) % 0.38/0.60 (define @t76 () (+ @t75 @t19)) % 0.38/0.60 (define @t77 () (>= @t76 -3)) % 0.38/0.60 (define @t78 () (>= @t76 0)) % 0.38/0.60 (define @t79 () (not @t78)) % 0.38/0.60 (define @t80 () (and @t79 @t77)) % 0.38/0.60 (define @t81 () (or @t38 @t37 @t80)) % 0.38/0.60 (define @t82 () (forall @t10 @t81)) % 0.38/0.60 (define @t83 () (not @t82)) % 0.38/0.60 (define @t84 () (not @t39)) % 0.38/0.60 (define @t85 () (>= @t43 -8)) % 0.38/0.60 (define @t86 () (>= @t43 -5)) % 0.38/0.60 (define @t87 () (not @t86)) % 0.38/0.60 (define @t88 () (and @t87 @t85)) % 0.38/0.60 (define @t89 () (not @t45)) % 0.38/0.60 (define @t90 () (or @t86 @t89 @t88)) % 0.38/0.60 (define @t91 () (not @t90)) % 0.38/0.60 (define @t92 () (+ @t34 @t40)) % 0.38/0.60 (define @t93 () (+ @t43 1)) % 0.38/0.60 (define @t94 () (+ @t40 @t34)) % 0.38/0.60 (define @t95 () (>= @t94 9)) % 0.38/0.60 (define @t96 () (not @t95)) % 0.38/0.60 (define @t97 () (>= @t94 6)) % 0.38/0.60 (define @t98 () (and @t97 @t96)) % 0.38/0.60 (define @t99 () (>= @t94 8)) % 0.38/0.60 (define @t100 () (not @t97)) % 0.38/0.60 (define @t101 () (or @t100 @t99 @t98)) % 0.38/0.60 (define @t102 () (not @t101)) % 0.38/0.60 (define @t103 () (@list @t90)) % 0.38/0.60 (define @t104 () (not @t85)) % 0.38/0.60 (assume @p1 @t16) % 0.38/0.60 (assume @p2 true) % 0.38/0.60 (step @p3 :rule evaluate :args ((<= 0 -2))) % 0.38/0.60 (step @p4 :rule evaluate :args ((+ -9 7))) % 0.38/0.60 (step @p5 :rule evaluate :args (@t17)) % 0.38/0.60 (step @p6 :rule refl :args (-9)) % 0.38/0.60 (step @p7 :rule nary_cong :premises (@p6 @p5) :args (@t18)) % 0.38/0.60 (step @p8 :rule trans :premises (@p7 @p4)) % 0.38/0.60 (step @p9 :rule evaluate :args ((+ 0 0))) % 0.38/0.60 (step @p10 :rule arith_poly_norm :args ((= @t33 0))) % 0.38/0.60 (step @p11 :rule arith_poly_norm :args ((= @t41 0))) % 0.38/0.60 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t42)) % 0.38/0.60 (step @p13 :rule trans :premises (@p12 @p9)) % 0.38/0.60 (step @p14 :rule arith_poly_norm :args ((= @t44 @t42))) % 0.38/0.60 (step @p15 :rule trans :premises (@p14 @p13)) % 0.38/0.60 (step @p16 :rule cong :premises (@p15 @p8) :args ((<= @t44 @t18))) % 0.38/0.60 (step @p17 :rule trans :premises (@p16 @p3)) % 0.38/0.60 (step @p18 :rule arith_mult_neg :args (-1 @t45)) % 0.38/0.60 (step @p19 :rule exists-elim :args ((= (exists @t12 @t29) @t30))) % 0.38/0.60 (step @p20 :rule aci_norm :args ((= (or (or @t27 @t26) @t23) @t28))) % 0.38/0.60 (step @p21 :rule refl :args (@t23)) % 0.38/0.60 (step @p22 :rule refl :args (@t26)) % 0.38/0.60 (step @p23 :rule bool-double-not-elim :args (@t27)) % 0.38/0.60 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t46) @t26))) % 0.38/0.60 (step @p25 :rule bool-and-de-morgan :args (@t46 @t25 true)) % 0.38/0.60 (step @p26 :rule trans :premises (@p25 @p24)) % 0.38/0.60 (step @p27 :rule nary_cong :premises (@p26 @p21) :args ((or (not @t47) @t23))) % 0.38/0.60 (step @p28 :rule trans 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(step @p43 :rule trans :premises (@p42 @p32)) % 0.38/0.60 (step @p44 :rule arith-elim-lt :args (@t3 @t2)) % 0.38/0.60 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.60 (step @p46 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t3)) (* 1 (- @t20 0))))) % 0.38/0.60 (step @p47 :rule arith_poly_norm_rel :premises (@p46) :args ((= @t51 @t22))) % 0.38/0.60 (step @p48 :rule cong :premises (@p47) :args ((not @t51))) % 0.38/0.60 (step @p49 :rule arith-elim-lt :args (@t1 @t3)) % 0.38/0.60 (step @p50 :rule trans :premises (@p49 @p48)) % 0.38/0.60 (step @p51 :rule nary_cong :premises (@p50 @p45) :args (@t4)) % 0.38/0.60 (step @p52 :rule bool-double-not-elim :args (@t25)) % 0.38/0.60 (step @p53 :rule arith_poly_norm :args ((= (* -8 (- -7 @t53)) (* -8 (- @t3 @t52))))) % 0.38/0.60 (step @p54 :rule arith_poly_norm_rel :premises (@p53) :args ((= (>= -7 @t53) (>= @t3 @t52)))) % 0.38/0.60 (step @p55 :rule arith-geq-tighten :args (@t24 -7)) % 0.38/0.60 (step @p56 :rule trans :premises (@p55 @p54)) % 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:args (@t71)) % 0.38/0.60 (step @p118 :rule eq_resolve :premises (@p116 @p113)) % 0.38/0.60 (step @p119 :rule implies_elim :premises (@p118)) % 0.38/0.60 (step @p120 :rule eq_resolve :premises (@p119 @p84)) % 0.38/0.60 (step @p121 :rule chain_m_resolution :premises (@p120 @p81) :args (@t57 @t72 (@list @t31))) % 0.38/0.60 (step @p122 :rule arith_poly_norm :args ((= (* 8 (- 9 @t60)) (* 8 (- @t73 -3))))) % 0.38/0.60 (step @p123 :rule arith_poly_norm_rel :premises (@p122) :args ((= (>= 9 @t60) (>= @t73 -3)))) % 0.38/0.60 (step @p124 :rule arith-geq-tighten :args (@t35 9)) % 0.38/0.60 (step @p125 :rule trans :premises (@p124 @p123)) % 0.38/0.60 (step @p126 :rule symm :premises (@p125)) % 0.38/0.60 (step @p127 :rule refl :args (-3)) % 0.38/0.60 (step @p128 :rule arith_poly_norm :args ((= @t74 @t73))) % 0.38/0.60 (step @p129 :rule arith_poly_norm :args ((= @t76 @t74))) % 0.38/0.60 (step @p130 :rule trans :premises (@p129 @p128)) % 0.38/0.60 (step @p131 :rule cong :premises (@p130 @p127) :args (@t77)) % 0.38/0.60 (step @p132 :rule trans :premises (@p131 @p126)) % 0.38/0.60 (step @p133 :rule bool-double-not-elim :args (@t36)) % 0.38/0.60 (step @p134 :rule arith_poly_norm :args ((= @t64 (* 5 (- @t73 0))))) % 0.38/0.60 (step @p135 :rule arith_poly_norm_rel :premises (@p134) :args ((= @t65 (>= @t73 0)))) % 0.38/0.60 (step @p136 :rule trans :premises (@p100 @p135)) % 0.38/0.60 (step @p137 :rule symm :premises (@p136)) % 0.38/0.60 (step @p138 :rule refl :args (0)) % 0.38/0.60 (step @p139 :rule cong :premises (@p130 @p138) :args (@t78)) % 0.38/0.60 (step @p140 :rule trans :premises (@p139 @p137)) % 0.38/0.60 (step @p141 :rule cong :premises (@p140) :args (@t79)) % 0.38/0.60 (step @p142 :rule trans :premises (@p141 @p133)) % 0.38/0.60 (step @p143 :rule nary_cong :premises (@p142 @p132) :args (@t80)) % 0.38/0.60 (step @p144 :rule refl :args (@t37)) % 0.38/0.60 (step @p145 :rule refl :args (@t38)) % 0.38/0.60 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143) :args (@t81)) % 0.38/0.60 (step @p147 :rule cong :premises (@p146) :args (@t82)) % 0.38/0.60 (step @p148 :rule cong :premises (@p147) :args (@t83)) % 0.38/0.60 (step @p149 :rule cong :premises (@p82 @p148) :args ((=> @t57 @t83))) % 0.38/0.60 (assume-push @p235 @t57) % 0.38/0.60 (step @p151 :rule instantiate :premises (@p121) :args ((@list @t75))) % 0.38/0.60 (step-pop @p236 :rule scope :premises (@p151)) % 0.38/0.60 (step @p152 :rule process_scope :premises (@p236) :args (@t83)) % 0.38/0.60 (step @p154 :rule eq_resolve :premises (@p152 @p149)) % 0.38/0.60 (step @p155 :rule implies_elim :premises (@p154)) % 0.38/0.60 (step @p156 :rule chain_m_resolution :premises (@p155 @p121) :args (@t84 (@list false) (@list @t57))) % 0.38/0.60 (step @p157 :rule refl :args (@t91)) % 0.38/0.60 (step @p158 :rule bool-double-not-elim :args (@t39)) % 0.38/0.60 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or (not @t84) @t91))) % 0.38/0.60 (step @p160 :rule bool-double-not-elim :args (@t85)) % 0.38/0.60 (step @p161 :rule arith_poly_norm :args ((= (* -9 (- -8 @t93)) (* -9 (- @t92 9))))) % 0.38/0.60 (step @p162 :rule arith_poly_norm_rel :premises (@p161) :args ((= (>= -8 @t93) (>= @t92 9)))) % 0.38/0.60 (step @p163 :rule arith-geq-tighten :args (@t43 -8)) % 0.38/0.60 (step @p164 :rule trans :premises (@p163 @p162)) % 0.38/0.60 (step @p165 :rule symm :premises (@p164)) % 0.38/0.60 (step @p166 :rule refl :args (9)) % 0.38/0.60 (step @p167 :rule arith_poly_norm :args ((= @t94 @t92))) % 0.38/0.60 (step @p168 :rule cong :premises (@p167 @p166) :args (@t95)) % 0.38/0.60 (step @p169 :rule trans :premises (@p168 @p165)) % 0.38/0.60 (step @p170 :rule cong :premises (@p169) :args (@t96)) % 0.38/0.60 (step @p171 :rule trans :premises (@p170 @p160)) % 0.38/0.60 (step @p172 :rule arith_poly_norm :args ((= (* -6 (- -5 @t93)) (* -6 (- @t92 6))))) % 0.38/0.60 (step @p173 :rule arith_poly_norm_rel :premises (@p172) :args ((= (>= -5 @t93) (>= @t92 6)))) % 0.38/0.60 (step @p174 :rule arith-geq-tighten :args (@t43 -5)) % 0.38/0.60 (step @p175 :rule trans :premises (@p174 @p173)) % 0.38/0.60 (step @p176 :rule symm :premises (@p175)) % 0.38/0.60 (step @p177 :rule refl :args (6)) % 0.38/0.60 (step @p178 :rule cong :premises (@p167 @p177) :args (@t97)) % 0.38/0.60 (step @p179 :rule trans :premises (@p178 @p176)) % 0.38/0.60 (step @p180 :rule nary_cong :premises (@p179 @p171) :args (@t98)) % 0.38/0.60 (step @p181 :rule arith_poly_norm :args ((= (* -8 (- -7 @t93)) (* -8 (- @t92 8))))) % 0.38/0.60 (step @p182 :rule arith_poly_norm_rel :premises (@p181) :args ((= (>= -7 @t93) (>= @t92 8)))) % 0.38/0.60 (step @p183 :rule arith-geq-tighten :args (@t43 -7)) % 0.38/0.60 (step @p184 :rule trans :premises (@p183 @p182)) % 0.38/0.60 (step @p185 :rule symm :premises (@p184)) % 0.38/0.60 (step @p186 :rule refl :args (8)) % 0.38/0.60 (step @p187 :rule cong :premises (@p167 @p186) :args (@t99)) % 0.38/0.60 (step @p188 :rule trans :premises (@p187 @p185)) % 0.38/0.60 (step @p189 :rule bool-double-not-elim :args (@t86)) % 0.38/0.60 (step @p190 :rule cong :premises (@p179) :args (@t100)) % 0.38/0.60 (step @p191 :rule trans :premises (@p190 @p189)) % 0.38/0.60 (step @p192 :rule nary_cong :premises (@p191 @p188 @p180) :args (@t101)) % 0.38/0.60 (step @p193 :rule cong :premises (@p192) :args (@t102)) % 0.38/0.60 (step @p194 :rule refl :args (@t84)) % 0.38/0.60 (step @p195 :rule cong :premises (@p194 @p193) :args ((=> @t84 @t102))) % 0.38/0.60 (assume-push @p237 @t84) % 0.38/0.60 (step @p197 :rule skolemize :premises (@p156)) % 0.38/0.60 (step-pop @p238 :rule scope :premises (@p197)) % 0.38/0.60 (step @p198 :rule process_scope :premises (@p238) :args (@t102)) % 0.38/0.60 (step @p200 :rule eq_resolve :premises (@p198 @p195)) % 0.38/0.60 (step @p201 :rule implies_elim :premises (@p200)) % 0.38/0.60 (step @p202 :rule eq_resolve :premises (@p201 @p159)) % 0.38/0.60 (step @p203 :rule chain_m_resolution :premises (@p202 @p156) :args (@t91 @t72 (@list @t39))) % 0.38/0.60 (step @p204 :rule bool-double-not-elim :args (@t45)) % 0.38/0.60 (step @p205 :rule refl :args (@t90)) % 0.38/0.60 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or @t90 (not @t89)))) % 0.38/0.60 (step @p207 :rule cnf_or_neg :args (@t90 1)) % 0.38/0.60 (step @p208 :rule eq_resolve :premises (@p207 @p206)) % 0.38/0.60 (step @p209 :rule reordering :premises (@p208) :args ((or @t45 @t90))) % 0.38/0.60 (step @p210 :rule chain_m_resolution :premises (@p209 @p203) :args (@t45 @t72 @t103)) % 0.38/0.60 (step @p211 :rule evaluate :args ((< -1 0))) % 0.38/0.60 (step @p212 :rule true_elim :premises (@p211)) % 0.38/0.60 (step @p213 :rule and_intro :premises (@p212 @p210)) % 0.38/0.60 (step @p214 :rule modus_ponens :premises (@p213 @p18)) % 0.38/0.60 (step @p215 :rule arith-elim-lt :args (@t43 -8)) % 0.38/0.60 (step @p216 :rule symm :premises (@p215)) % 0.38/0.60 (step @p217 :rule cnf_or_neg :args (@t90 2)) % 0.38/0.60 (step @p218 :rule chain_m_resolution :premises (@p217 @p203) :args ((not @t88) @t72 @t103)) % 0.38/0.60 (step @p219 :rule cnf_or_neg :args (@t90 0)) % 0.38/0.60 (step @p220 :rule reordering :premises (@p219) :args ((or @t87 @t90))) % 0.38/0.60 (step @p221 :rule chain_m_resolution :premises (@p220 @p203) :args (@t87 @t72 @t103)) % 0.38/0.60 (step @p222 :rule refl :args (@t104)) % 0.38/0.60 (step @p223 :rule refl :args (@t88)) % 0.38/0.60 (step @p224 :rule nary_cong :premises (@p223 @p189 @p222) :args ((or @t88 (not @t87) @t104))) % 0.38/0.60 (step @p225 :rule cnf_and_neg :args (@t88)) % 0.38/0.60 (step @p226 :rule eq_resolve :premises (@p225 @p224)) % 0.38/0.60 (step @p227 :rule reordering :premises (@p226) :args ((or @t86 @t104 @t88))) % 0.38/0.60 (step @p228 :rule chain_m_resolution :premises (@p227 @p221 @p218) :args (@t104 (@list true true) (@list @t86 @t88))) % 0.38/0.60 (step @p229 :rule eq_resolve :premises (@p228 @p216)) % 0.38/0.60 (step @p230 :rule int_tight_ub :premises (@p229)) % 0.38/0.60 (step @p231 :rule arith_sum_ub :premises (@p230 @p214)) % 0.38/0.60 (step @p232 false :rule eq_resolve :premises (@p231 @p17)) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------