%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI720_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:08:11 AM UTC 2026 % Result : Theorem 0.33s 0.58s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI720_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n027.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 02:32:51 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_ARI % 0.33/0.58 --- Run --finite-model-find --decision=internal at 45... % 0.33/0.58 % SZS status Theorem % 0.33/0.58 % SZS output start Proof % 0.33/0.58 ( % 0.33/0.58 (define @t1 () (- 1)) % 0.33/0.58 (define @t2 () (/ @t1 2)) % 0.33/0.58 (define @t3 () (@var "X" Real)) % 0.33/0.58 (define @t4 () (+ @t3 @t2)) % 0.33/0.58 (define @t5 () (to_int @t4)) % 0.33/0.58 (define @t6 () (/ 1 2)) % 0.33/0.58 (define @t7 () (+ @t3 @t6)) % 0.33/0.58 (define @t8 () (to_int @t7)) % 0.33/0.58 (define @t9 () (@list @t3)) % 0.33/0.58 (define @t10 () (forall @t9 (> @t8 @t5))) % 0.33/0.58 (define @t11 () (not @t10)) % 0.33/0.58 (define @t12 () (+ -1/2 @t3)) % 0.33/0.58 (define @t13 () (to_int @t12)) % 0.33/0.58 (define @t14 () (+ 1/2 @t3)) % 0.33/0.58 (define @t15 () (to_int @t14)) % 0.33/0.58 (define @t16 () (+ @t15 (* -1 @t13))) % 0.33/0.58 (define @t17 () (>= @t16 1)) % 0.33/0.58 (define @t18 () (+ @t13 1)) % 0.33/0.58 (define @t19 () (>= @t15 @t18)) % 0.33/0.58 (define @t20 () (* -1/1 1/2)) % 0.33/0.58 (define @t21 () (to_real @t1)) % 0.33/0.58 (define @t22 () (* @t21 1/2)) % 0.33/0.58 (define @t23 () (<= @t8 @t5)) % 0.33/0.58 (define @t24 () (forall @t9 @t17)) % 0.33/0.58 (define @t25 () (@quantifiers_skolemize @t24 0)) % 0.33/0.58 (define @t26 () (+ 1/2 @t25)) % 0.33/0.58 (define @t27 () (to_int @t26)) % 0.33/0.58 (define @t28 () (@purify @t27)) % 0.33/0.58 (define @t29 () (* -1 @t28)) % 0.33/0.58 (define @t30 () (+ -1/2 @t25)) % 0.33/0.58 (define @t31 () (to_int @t30)) % 0.33/0.58 (define @t32 () (@purify @t31)) % 0.33/0.58 (define @t33 () (+ @t32 @t29)) % 0.33/0.58 (define @t34 () (>= @t33 0)) % 0.33/0.58 (define @t35 () (not @t24)) % 0.33/0.58 (define @t36 () (* -1 @t32)) % 0.33/0.58 (define @t37 () (+ @t36 @t28)) % 0.33/0.58 (define @t38 () (+ @t33 1)) % 0.33/0.58 (define @t39 () (* -1 @t31)) % 0.33/0.58 (define @t40 () (+ @t27 @t39)) % 0.33/0.58 (define @t41 () (>= @t40 1)) % 0.33/0.58 (define @t42 () (not @t41)) % 0.33/0.58 (define @t43 () (to_real @t36)) % 0.33/0.58 (define @t44 () (+ @t25 @t43)) % 0.33/0.58 (define @t45 () (+ -1/2 @t25 @t43)) % 0.33/0.58 (define @t46 () (to_real @t32)) % 0.33/0.58 (define @t47 () (* -1/1 @t46)) % 0.33/0.58 (define @t48 () (+ @t47 @t25 -1/2)) % 0.33/0.58 (define @t49 () (+ @t30 @t47)) % 0.33/0.58 (define @t50 () (- @t30 @t46)) % 0.33/0.58 (define @t51 () (>= @t50 1/1)) % 0.33/0.58 (define @t52 () (>= @t44 1/2)) % 0.33/0.58 (define @t53 () (<= 0/1 @t50)) % 0.33/0.58 (define @t54 () (to_real @t29)) % 0.33/0.58 (define @t55 () (+ @t25 @t54)) % 0.33/0.58 (define @t56 () (+ 1/2 @t25 @t54)) % 0.33/0.58 (define @t57 () (>= @t55 1/2)) % 0.33/0.58 (define @t58 () (to_real @t28)) % 0.33/0.58 (define @t59 () (* -1/1 @t58)) % 0.33/0.58 (define @t60 () (+ @t59 @t25 1/2)) % 0.33/0.58 (define @t61 () (+ @t26 @t59)) % 0.33/0.58 (define @t62 () (- @t26 @t58)) % 0.33/0.58 (define @t63 () (>= @t62 1/1)) % 0.33/0.58 (define @t64 () (<= 0/1 @t62)) % 0.33/0.58 (define @t65 () (not @t52)) % 0.33/0.58 (define @t66 () (not @t34)) % 0.33/0.58 (define @t67 () (not @t57)) % 0.33/0.58 (define @t68 () (< @t55 1/2)) % 0.33/0.58 (define @t69 () (to_real 0)) % 0.33/0.58 (define @t70 () (* -1 0)) % 0.33/0.58 (define @t71 () (to_real @t70)) % 0.33/0.58 (define @t72 () (+ 1/2 @t20 @t71)) % 0.33/0.58 (define @t73 () (* 0/1 @t25)) % 0.33/0.58 (define @t74 () (* 0 @t28)) % 0.33/0.58 (define @t75 () (to_real @t74)) % 0.33/0.58 (define @t76 () (+ @t75 @t46 @t43 @t73)) % 0.33/0.58 (define @t77 () (* -1 @t33)) % 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:args (@t8)) % 0.33/0.58 (step @p32 :rule cong :premises (@p31 @p26) :args (@t23)) % 0.33/0.58 (step @p33 :rule trans :premises (@p32 @p8)) % 0.33/0.58 (step @p34 :rule cong :premises (@p33) :args ((not @t23))) % 0.33/0.58 (step @p35 :rule trans :premises (@p34 @p3)) % 0.33/0.58 (step @p36 :rule arith-elim-leq :args (@t8 @t5)) % 0.33/0.58 (step @p37 :rule symm :premises (@p36)) % 0.33/0.58 (step @p38 :rule cong :premises (@p37) :args ((not (>= @t5 @t8)))) % 0.33/0.58 (step @p39 :rule arith-elim-gt :args (@t8 @t5)) % 0.33/0.58 (step @p40 :rule trans :premises (@p39 @p38)) % 0.33/0.58 (step @p41 :rule trans :premises (@p40 @p35)) % 0.33/0.58 (step @p42 :rule cong :premises (@p41) :args (@t10)) % 0.33/0.58 (step @p43 :rule cong :premises (@p42) :args (@t11)) % 0.33/0.58 (step @p44 :rule eq_resolve :premises (@p1 @p43)) % 0.33/0.58 (step @p45 :rule refl :args (@t34)) % 0.33/0.58 (step @p46 :rule bool-double-not-elim :args (@t24)) % 0.33/0.58 (step @p47 :rule nary_cong :premises (@p46 @p45) 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(@t20)) % 0.33/0.58 (step @p152 :rule nary_cong :premises (@p11 @p151 @p150) :args (@t72)) % 0.33/0.58 (step @p153 :rule trans :premises (@p152 @p146)) % 0.33/0.58 (step @p154 :rule arith_poly_norm :args ((= (+ 0/1 @t46 @t43 0/1) 0/1))) % 0.33/0.58 (step @p155 :rule arith_poly_norm :args ((= @t73 0/1))) % 0.33/0.58 (step @p156 :rule refl :args (@t43)) % 0.33/0.58 (step @p157 :rule refl :args (@t46)) % 0.33/0.58 (step @p158 :rule evaluate :args (@t69)) % 0.33/0.58 (step @p159 :rule arith_poly_norm :args ((= @t74 0))) % 0.33/0.58 (step @p160 :rule cong :premises (@p159) :args (@t75)) % 0.33/0.58 (step @p161 :rule trans :premises (@p160 @p158)) % 0.33/0.58 (step @p162 :rule nary_cong :premises (@p161 @p157 @p156 @p155) :args (@t76)) % 0.33/0.58 (step @p163 :rule trans :premises (@p162 @p154)) % 0.33/0.58 (step @p164 :rule arith_poly_norm :args ((= @t79 @t76))) % 0.33/0.58 (step @p165 :rule trans :premises (@p164 @p163)) % 0.33/0.58 (step @p166 :rule cong :premises (@p165 @p153) :args (@t80)) % 0.33/0.58 (step @p167 :rule trans :premises (@p166 @p145)) % 0.33/0.58 (step @p168 :rule cong :premises (@p167) :args ((not @t80))) % 0.33/0.58 (step @p169 :rule trans :premises (@p168 @p144)) % 0.33/0.58 (step @p170 :rule arith-elim-lt :args (@t79 @t72)) % 0.33/0.58 (step @p171 :rule trans :premises (@p170 @p169)) % 0.33/0.58 (step @p172 :rule arith_poly_norm :args ((= (* -1/1 (to_real (- @t77 @t70))) (* -1/1 (- @t78 @t71))))) % 0.33/0.58 (step @p173 :rule arith_poly_norm_rel :premises (@p172) :args ((= (<= @t77 @t70) (<= @t78 @t71)))) % 0.33/0.58 (step @p174 :rule arith_mult_neg :args (-1 @t34)) % 0.33/0.58 (step @p175 :rule evaluate :args ((< -1 0))) % 0.33/0.58 (step @p176 :rule true_elim :premises (@p175)) % 0.33/0.58 (step @p177 :rule and_intro :premises (@p176 @p77)) % 0.33/0.58 (step @p178 :rule modus_ponens :premises (@p177 @p174)) % 0.33/0.58 (step @p179 :rule eq_resolve :premises (@p178 @p173)) % 0.33/0.58 (step @p180 :rule arith_mult_neg :args (-1/1 @t52)) % 0.33/0.58 (step @p181 :rule evaluate :args ((< -1/1 0/1))) % 0.33/0.58 (step @p182 :rule true_elim :premises (@p181)) % 0.33/0.58 (step @p183 :rule and_intro :premises (@p182 @p106)) % 0.33/0.58 (step @p184 :rule modus_ponens :premises (@p183 @p180)) % 0.33/0.58 (step @p185 :rule symm :premises (@p139)) % 0.33/0.58 (step @p186 :rule and_elim :premises (@p130) :args (1)) % 0.33/0.58 (step @p187 :rule eq_resolve :premises (@p186 @p185)) % 0.33/0.58 (step @p188 :rule arith_sum_ub :premises (@p187 @p184 @p179)) % 0.33/0.58 (step @p189 false :rule eq_resolve :premises (@p188 @p171)) % 0.33/0.58 (step-pop @p210 :rule scope :premises (@p189)) % 0.33/0.58 (step @p190 :rule process_scope :premises (@p210) :args (false)) % 0.33/0.58 (step @p192 :rule eq_resolve :premises (@p190 @p141)) % 0.33/0.58 (step @p193 :rule eq_resolve :premises (@p192 @p142)) % 0.33/0.58 (step @p185 :rule symm :premises (@p139)) % 0.33/0.58 (step @p194 :rule eq_resolve :premises (@p131 @p185)) % 0.33/0.58 (step @p195 false :rule contra :premises (@p194 @p193)) % 0.33/0.58 (step-pop @p211 :rule scope :premises (@p195)) % 0.33/0.58 (step-pop @p212 :rule scope :premises (@p211)) % 0.33/0.58 (step-pop @p213 :rule scope :premises (@p212)) % 0.33/0.58 (step @p196 :rule process_scope :premises (@p213) :args (false)) % 0.33/0.58 (step @p200 :rule not_and :premises (@p196)) % 0.33/0.58 (step @p201 :rule eq_resolve :premises (@p200 @p135)) % 0.33/0.58 (step @p202 :rule reordering :premises (@p201) :args ((or @t66 @t57 @t65))) % 0.33/0.58 (step @p203 false :rule chain_m_resolution :premises (@p202 @p131 @p106 @p77) :args (false (@list true false false) (@list @t57 @t52 @t34))) % 0.33/0.58 ) % 0.33/0.58 % SZS output end Proof % 0.33/0.58 % cvc5 exiting %------------------------------------------------------------------------------