%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI738_1 : TPTP v9.2.1. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:08:13 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI738_1 : TPTP v9.2.1. Released v7.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 02:32:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_ARI % 0.38/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (define @t1 () (@var "X" Real)) % 0.38/0.56 (define @t2 () (to_int @t1)) % 0.38/0.56 (define @t3 () (to_real @t2)) % 0.38/0.56 (define @t4 () (= @t3 @t1)) % 0.38/0.56 (define @t5 () (not @t4)) % 0.38/0.56 (define @t6 () (- @t1)) % 0.38/0.56 (define @t7 () (to_int @t6)) % 0.38/0.56 (define @t8 () (- @t7)) % 0.38/0.56 (define @t9 () (to_real @t8)) % 0.38/0.56 (define @t10 () (to_int @t9)) % 0.38/0.56 (define @t11 () (=> (< @t2 @t10) @t5)) % 0.38/0.56 (define @t12 () (@list @t1)) % 0.38/0.56 (define @t13 () (forall @t12 @t11)) % 0.38/0.56 (define @t14 () (not @t13)) % 0.38/0.56 (define @t15 () (= @t1 @t3)) % 0.38/0.56 (define @t16 () (not @t15)) % 0.38/0.56 (define @t17 () (* -1/1 @t1)) % 0.38/0.56 (define @t18 () (to_int @t17)) % 0.38/0.56 (define @t19 () (+ @t2 @t18)) % 0.38/0.56 (define @t20 () (>= @t19 0)) % 0.38/0.56 (define @t21 () (forall @t12 (or @t20 @t16))) % 0.38/0.56 (define @t22 () (@quantifiers_skolemize @t21 0)) % 0.38/0.56 (define @t23 () (* -1/1 @t22)) % 0.38/0.56 (define @t24 () (to_int @t23)) % 0.38/0.56 (define @t25 () (@purify @t24)) % 0.38/0.56 (define @t26 () (to_real (* -1 @t25))) % 0.38/0.56 (define @t27 () (to_real @t25)) % 0.38/0.56 (define @t28 () (* -1/1 @t27)) % 0.38/0.56 (define @t29 () (+ @t23 @t28)) % 0.38/0.56 (define @t30 () (- @t23 @t27)) % 0.38/0.56 (define @t31 () (>= @t30 1/1)) % 0.38/0.56 (define @t32 () (+ @t23 @t26)) % 0.38/0.56 (define @t33 () (<= 0/1 @t30)) % 0.38/0.56 (define @t34 () (not @t20)) % 0.38/0.56 (define @t35 () (* -1 @t18)) % 0.38/0.56 (define @t36 () (* -1 @t7)) % 0.38/0.56 (define @t37 () (>= @t2 @t10)) % 0.38/0.56 (define @t38 () (to_int @t22)) % 0.38/0.56 (define @t39 () (@purify @t38)) % 0.38/0.56 (define @t40 () (to_real @t39)) % 0.38/0.56 (define @t41 () (= @t22 @t40)) % 0.38/0.56 (define @t42 () (not @t41)) % 0.38/0.56 (define @t43 () (+ @t39 @t25)) % 0.38/0.56 (define @t44 () (>= @t43 0)) % 0.38/0.56 (define @t45 () (or @t44 @t42)) % 0.38/0.56 (define @t46 () (not @t45)) % 0.38/0.56 (define @t47 () (not @t21)) % 0.38/0.56 (define @t48 () (to_real @t38)) % 0.38/0.56 (define @t49 () (= @t22 @t48)) % 0.38/0.56 (define @t50 () (not @t49)) % 0.38/0.56 (define @t51 () (+ @t38 @t24)) % 0.38/0.56 (define @t52 () (>= @t51 0)) % 0.38/0.56 (define @t53 () (or @t52 @t50)) % 0.38/0.56 (define @t54 () (not @t53)) % 0.38/0.56 (define @t55 () (@list true)) % 0.38/0.56 (define @t56 () (not @t44)) % 0.38/0.56 (define @t57 () (@list @t45)) % 0.38/0.56 (define @t58 () (>= @t32 1/1)) % 0.38/0.56 (define @t59 () (not @t58)) % 0.38/0.56 (define @t60 () (+ @t22 @t27)) % 0.38/0.56 (define @t61 () (>= -1/1 @t60)) % 0.38/0.56 (define @t62 () (> @t60 -1/1)) % 0.38/0.56 (define @t63 () (* -1/1 -1/1)) % 0.38/0.56 (define @t64 () (+ @t63 -1/1 0/1)) % 0.38/0.56 (define @t65 () (to_real (* -1 @t39))) % 0.38/0.56 (define @t66 () (* 0/1 @t22)) % 0.38/0.56 (define @t67 () (* 0 @t25)) % 0.38/0.56 (define @t68 () (to_real @t67)) % 0.38/0.56 (define @t69 () (+ @t65 @t68 @t40 @t66)) % 0.38/0.56 (define @t70 () (+ @t22 @t65)) % 0.38/0.56 (define @t71 () (to_real @t43)) % 0.38/0.56 (define @t72 () (+ (* -1/1 @t60) @t71 @t70)) % 0.38/0.56 (define @t73 () (>= @t72 @t64)) % 0.38/0.56 (define @t74 () (to_real -1)) % 0.38/0.56 (define @t75 () (<= @t71 @t74)) % 0.38/0.56 (define @t76 () (and @t41 @t56 @t59)) % 0.38/0.56 (assume @p1 @t14) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule refl :args (1/1)) % 0.38/0.56 (step @p4 :rule arith_poly_norm :args ((= @t28 @t26))) % 0.38/0.56 (step @p5 :rule refl :args (@t23)) % 0.38/0.56 (step @p6 :rule nary_cong :premises (@p5 @p4) :args (@t29)) % 0.38/0.56 (step @p7 :rule arith_poly_norm :args ((= @t30 @t29))) % 0.38/0.56 (step @p8 :rule trans :premises (@p7 @p6)) % 0.38/0.56 (step @p9 :rule cong :premises (@p8 @p3) :args (@t31)) % 0.38/0.56 (step @p10 :rule cong :premises (@p9) :args ((not @t31))) % 0.38/0.56 (step @p11 :rule arith-elim-lt :args (@t30 1/1)) % 0.38/0.56 (step @p12 :rule trans :premises (@p11 @p10)) % 0.38/0.56 (step @p13 :rule arith-elim-leq :args (0/1 @t32)) % 0.38/0.56 (step @p14 :rule refl :args (0/1)) % 0.38/0.56 (step @p15 :rule cong :premises (@p14 @p8) :args (@t33)) % 0.38/0.56 (step @p16 :rule trans :premises (@p15 @p13)) % 0.38/0.56 (step @p17 :rule nary_cong :premises (@p16 @p12) :args ((and @t33 (< @t30 1/1)))) % 0.38/0.56 (step @p18 :rule arith_reduction :args (@t24)) % 0.38/0.56 (step @p19 :rule and_elim :premises (@p18) :args (1)) % 0.38/0.56 (step @p20 :rule eq_resolve :premises (@p19 @p17)) % 0.38/0.56 (step @p21 :rule and_elim :premises (@p20) :args (1)) % 0.38/0.56 (step @p22 :rule refl :args (@t16)) % 0.38/0.56 (step @p23 :rule bool-double-not-elim :args (@t20)) % 0.38/0.56 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t34) @t16))) % 0.38/0.56 (step @p25 :rule bool-impl-elim :args (@t34 @t16)) % 0.38/0.56 (step @p26 :rule trans :premises (@p25 @p24)) % 0.38/0.56 (step @p27 :rule cong :premises (@p26) :args ((forall @t12 (=> @t34 @t16)))) % 0.38/0.56 (step @p28 :rule arith_poly_norm :args ((= (* 1/1 (- @t3 @t1)) (* -1/1 (- @t1 @t3))))) % 0.38/0.56 (step @p29 :rule arith_poly_norm_rel :premises (@p28) :args ((= @t4 @t15))) % 0.38/0.56 (step @p30 :rule cong :premises (@p29) :args (@t5)) % 0.38/0.56 (step @p31 :rule arith_poly_norm :args ((= (* 1 (- @t2 @t35)) (* 1 (- @t19 0))))) % 0.38/0.56 (step @p32 :rule arith_poly_norm_rel :premises (@p31) :args ((= (>= @t2 @t35) @t20))) % 0.38/0.56 (step @p33 :rule arith-to-int-elim-to-real :args (@t35)) % 0.38/0.56 (step @p34 :rule arith_poly_norm :args ((= @t6 @t17))) % 0.38/0.56 (step @p35 :rule cong :premises (@p34) :args (@t7)) % 0.38/0.56 (step @p36 :rule refl :args (-1)) % 0.38/0.56 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t36)) % 0.38/0.56 (step @p38 :rule arith_poly_norm :args ((= @t8 @t36))) % 0.38/0.56 (step @p39 :rule trans :premises (@p38 @p37)) % 0.38/0.56 (step @p40 :rule cong :premises (@p39) :args (@t9)) % 0.38/0.56 (step @p41 :rule cong :premises (@p40) :args (@t10)) % 0.38/0.56 (step @p42 :rule trans :premises (@p41 @p33)) % 0.38/0.56 (step @p43 :rule refl :args (@t2)) % 0.38/0.56 (step @p44 :rule cong :premises (@p43 @p42) :args (@t37)) % 0.38/0.56 (step @p45 :rule trans :premises (@p44 @p32)) % 0.38/0.56 (step @p46 :rule cong :premises (@p45) :args ((not @t37))) % 0.38/0.56 (step @p47 :rule arith-elim-lt :args (@t2 @t10)) % 0.38/0.56 (step @p48 :rule trans :premises (@p47 @p46)) % 0.38/0.56 (step @p49 :rule cong :premises (@p48 @p30) :args (@t11)) % 0.38/0.56 (step @p50 :rule cong :premises (@p49) :args (@t13)) % 0.38/0.56 (step @p51 :rule trans :premises (@p50 @p27)) % 0.38/0.56 (step @p52 :rule cong :premises (@p51) :args (@t14)) % 0.38/0.56 (step @p53 :rule eq_resolve :premises (@p1 @p52)) % 0.38/0.56 (step @p54 :rule refl :args (@t46)) % 0.38/0.56 (step @p55 :rule bool-double-not-elim :args (@t21)) % 0.38/0.56 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or (not @t47) @t46))) % 0.38/0.56 (step @p57 :rule arith_reduction :args (@t38)) % 0.38/0.56 (step @p58 :rule and_elim :premises (@p57) :args (0)) % 0.38/0.56 (step @p59 :rule cong :premises (@p58) :args (@t48)) % 0.38/0.56 (step @p60 :rule refl :args (@t22)) % 0.38/0.56 (step @p61 :rule cong :premises (@p60 @p59) :args (@t49)) % 0.38/0.56 (step @p62 :rule cong :premises (@p61) :args (@t50)) % 0.38/0.56 (step @p63 :rule refl :args (0)) % 0.38/0.56 (step @p64 :rule and_elim :premises (@p18) :args (0)) % 0.38/0.56 (step @p65 :rule nary_cong :premises (@p58 @p64) :args (@t51)) % 0.38/0.56 (step @p66 :rule cong :premises (@p65 @p63) :args (@t52)) % 0.38/0.56 (step @p67 :rule nary_cong :premises (@p66 @p62) :args (@t53)) % 0.38/0.56 (step @p68 :rule cong :premises (@p67) :args (@t54)) % 0.38/0.56 (step @p69 :rule refl :args (@t47)) % 0.38/0.56 (step @p70 :rule cong :premises (@p69 @p68) :args ((=> @t47 @t54))) % 0.38/0.56 (assume-push @p186 @t47) % 0.38/0.56 (step @p72 :rule skolemize :premises (@p53)) % 0.38/0.56 (step-pop @p187 :rule scope :premises (@p72)) % 0.38/0.56 (step @p73 :rule process_scope :premises (@p187) :args (@t54)) % 0.38/0.56 (step @p75 :rule eq_resolve :premises (@p73 @p70)) % 0.38/0.56 (step @p76 :rule implies_elim :premises (@p75)) % 0.38/0.56 (step @p77 :rule eq_resolve :premises (@p76 @p56)) % 0.38/0.56 (step @p78 :rule chain_m_resolution :premises (@p77 @p53) :args (@t46 @t55 (@list @t21))) % 0.38/0.56 (step @p79 :rule cnf_or_neg :args (@t45 0)) % 0.38/0.56 (step @p80 :rule chain_m_resolution :premises (@p79 @p78) :args (@t56 @t55 @t57)) % 0.38/0.56 (step @p81 :rule bool-double-not-elim :args (@t41)) % 0.38/0.56 (step @p82 :rule refl :args (@t45)) % 0.38/0.56 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t45 (not @t42)))) % 0.38/0.56 (step @p84 :rule cnf_or_neg :args (@t45 1)) % 0.38/0.56 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.38/0.56 (step @p86 :rule reordering :premises (@p85) :args ((or @t41 @t45))) % 0.38/0.56 (step @p87 :rule chain_m_resolution :premises (@p86 @p78) :args (@t41 @t55 @t57)) % 0.38/0.56 (step @p88 :rule bool-double-not-elim :args (@t44)) % 0.38/0.56 (step @p89 :rule bool-double-not-elim :args (@t58)) % 0.38/0.56 (step @p90 :rule refl :args (@t42)) % 0.38/0.56 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args ((or @t42 (not @t59) (not @t56)))) % 0.38/0.56 (assume-push @p188 @t41) % 0.38/0.56 (assume-push @p189 @t56) % 0.38/0.56 (assume-push @p190 @t59) % 0.38/0.56 (step @p95 :rule arith_poly_norm :args ((= (* -1/1 (- -1/1 @t60)) (* -1/1 (- @t32 1/1))))) % 0.38/0.56 (step @p96 :rule arith_poly_norm_rel :premises (@p95) :args ((= @t61 @t58))) % 0.38/0.56 (step @p97 :rule arith-elim-leq :args (@t60 -1/1)) % 0.38/0.56 (step @p98 :rule trans :premises (@p97 @p96)) % 0.38/0.56 (step @p99 :rule cong :premises (@p98) :args ((not (<= @t60 -1/1)))) % 0.38/0.56 (step @p100 :rule symm :premises (@p97)) % 0.38/0.56 (step @p101 :rule cong :premises (@p100) :args ((not @t61))) % 0.38/0.56 (step @p102 :rule arith-elim-gt :args (@t60 -1/1)) % 0.38/0.56 (step @p103 :rule trans :premises (@p102 @p101)) % 0.38/0.56 (step @p104 :rule trans :premises (@p103 @p99)) % 0.38/0.56 (step @p105 :rule cong :premises (@p104) :args ((not @t62))) % 0.38/0.56 (step @p106 :rule trans :premises (@p105 @p89)) % 0.38/0.56 (step @p107 :rule symm :premises (@p106)) % 0.38/0.56 (step @p108 :rule trans :premises (@p98 @p107)) % 0.38/0.56 (step @p109 :rule symm :premises (@p98)) % 0.38/0.56 (step @p110 :rule trans :premises (@p106 @p109)) % 0.38/0.56 (assume-push @p191 @t62) % 0.38/0.56 (step @p112 :rule evaluate :args ((not true))) % 0.38/0.56 (step @p113 :rule evaluate :args ((>= 0/1 0/1))) % 0.38/0.56 (step @p114 :rule evaluate :args ((+ 1/1 -1/1 0/1))) % 0.38/0.56 (step @p115 :rule refl :args (-1/1)) % 0.38/0.56 (step @p116 :rule evaluate :args (@t63)) % 0.38/0.56 (step @p117 :rule nary_cong :premises (@p116 @p115 @p14) :args (@t64)) % 0.38/0.56 (step @p118 :rule trans :premises (@p117 @p114)) % 0.38/0.56 (step @p119 :rule arith_poly_norm :args ((= (+ @t65 0/1 @t40 0/1) 0/1))) % 0.38/0.56 (step @p120 :rule arith_poly_norm :args ((= @t66 0/1))) % 0.38/0.56 (step @p121 :rule refl :args (@t40)) % 0.38/0.56 (step @p122 :rule evaluate :args ((to_real 0))) % 0.38/0.56 (step @p123 :rule arith_poly_norm :args ((= @t67 0))) % 0.38/0.56 (step @p124 :rule cong :premises (@p123) :args (@t68)) % 0.38/0.56 (step @p125 :rule trans :premises (@p124 @p122)) % 0.38/0.56 (step @p126 :rule refl :args (@t65)) % 0.38/0.56 (step @p127 :rule nary_cong :premises (@p126 @p125 @p121 @p120) :args (@t69)) % 0.38/0.56 (step @p128 :rule trans :premises (@p127 @p119)) % 0.38/0.56 (step @p129 :rule arith_poly_norm :args ((= @t72 @t69))) % 0.38/0.56 (step @p130 :rule trans :premises (@p129 @p128)) % 0.38/0.56 (step @p131 :rule cong :premises (@p130 @p118) :args (@t73)) % 0.38/0.56 (step @p132 :rule trans :premises (@p131 @p113)) % 0.38/0.56 (step @p133 :rule cong :premises (@p132) :args ((not @t73))) % 0.38/0.56 (step @p134 :rule trans :premises (@p133 @p112)) % 0.38/0.56 (step @p135 :rule arith-elim-lt :args (@t72 @t64)) % 0.38/0.56 (step @p136 :rule trans :premises (@p135 @p134)) % 0.38/0.56 (step @p137 :rule arith_poly_norm :args ((= (* 1/1 (- @t70 0/1)) (* 1/1 (- @t22 @t40))))) % 0.38/0.56 (step @p138 :rule arith_poly_norm_rel :premises (@p137) :args ((= (= @t70 0/1) @t41))) % 0.38/0.56 (step @p139 :rule symm :premises (@p138)) % 0.38/0.56 (step @p140 :rule eq_resolve :premises (@p87 @p139)) % 0.38/0.56 (step @p141 :rule evaluate :args (@t74)) % 0.38/0.56 (step @p142 :rule refl :args (@t71)) % 0.38/0.56 (step @p143 :rule cong :premises (@p142 @p141) :args (@t75)) % 0.38/0.56 (step @p144 :rule arith_poly_norm :args ((= (* 1/1 (to_real (- @t43 -1))) (* 1/1 (- @t71 @t74))))) % 0.38/0.56 (step @p145 :rule arith_poly_norm_rel :premises (@p144) :args ((= (<= @t43 -1) @t75))) % 0.38/0.56 (step @p146 :rule trans :premises (@p145 @p143)) % 0.38/0.56 (step @p147 :rule arith-elim-lt :args (@t43 0)) % 0.38/0.56 (step @p148 :rule symm :premises (@p147)) % 0.38/0.56 (step @p149 :rule eq_resolve :premises (@p80 @p148)) % 0.38/0.56 (step @p150 :rule int_tight_ub :premises (@p149)) % 0.38/0.56 (step @p151 :rule eq_resolve :premises (@p150 @p146)) % 0.38/0.56 (step @p152 :rule arith_mult_neg :args (-1/1 @t62)) % 0.38/0.56 (step @p153 :rule symm :premises (@p104)) % 0.38/0.56 (step @p154 :rule and_elim :premises (@p20) :args (1)) % 0.38/0.56 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 0.38/0.56 (step @p156 :rule evaluate :args ((< -1/1 0/1))) % 0.38/0.56 (step @p157 :rule true_elim :premises (@p156)) % 0.38/0.56 (step @p158 :rule and_intro :premises (@p157 @p155)) % 0.38/0.56 (step @p159 :rule modus_ponens :premises (@p158 @p152)) % 0.38/0.56 (step @p160 :rule arith_sum_ub :premises (@p159 @p151 @p140)) % 0.38/0.56 (step @p161 false :rule eq_resolve :premises (@p160 @p136)) % 0.38/0.56 (step-pop @p192 :rule scope :premises (@p161)) % 0.38/0.56 (step @p162 :rule process_scope :premises (@p192) :args (false)) % 0.38/0.56 (step @p164 :rule eq_resolve :premises (@p162 @p110)) % 0.38/0.56 (step @p165 :rule eq_resolve :premises (@p164 @p108)) % 0.38/0.56 (step @p153 :rule symm :premises (@p104)) % 0.38/0.56 (step @p166 :rule eq_resolve :premises (@p21 @p153)) % 0.38/0.56 (step @p167 false :rule contra :premises (@p166 @p165)) % 0.38/0.56 (step-pop @p193 :rule scope :premises (@p167)) % 0.38/0.56 (step-pop @p194 :rule scope :premises (@p193)) % 0.38/0.56 (step-pop @p195 :rule scope :premises (@p194)) % 0.38/0.56 (step @p168 :rule process_scope :premises (@p195) :args (false)) % 0.38/0.56 (assume-push @p196 @t41) % 0.38/0.56 (assume-push @p197 @t59) % 0.38/0.56 (assume-push @p198 @t56) % 0.38/0.56 (step @p175 :rule and_intro :premises (@p87 @p80 @p21)) % 0.38/0.56 (step-pop @p199 :rule scope :premises (@p175)) % 0.38/0.56 (step-pop @p200 :rule scope :premises (@p199)) % 0.38/0.56 (step-pop @p201 :rule scope :premises (@p200)) % 0.38/0.56 (step @p176 :rule process_scope :premises (@p201) :args (@t76)) % 0.38/0.56 (step @p180 :rule implies_elim :premises (@p176)) % 0.38/0.56 (step @p181 :rule resolution :premises (@p180 @p168) :args (true @t76)) % 0.38/0.56 (step @p182 :rule not_and :premises (@p181)) % 0.38/0.56 (step @p183 :rule eq_resolve :premises (@p182 @p91)) % 0.38/0.56 (step @p184 :rule reordering :premises (@p183) :args ((or @t42 @t44 @t58))) % 0.38/0.56 (step @p185 false :rule chain_m_resolution :premises (@p184 @p87 @p80 @p21) :args (false (@list false true true) (@list @t41 @t44 @t58))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------