%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI733_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 : n024.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 0.17s 0.37s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : ARI733_1 : TPTP v9.2.1. Released v6.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.26 % Computer : n024.cluster.edu % 0.08/0.26 % Model : x86_64 x86_64 % 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.26 % Memory : 8042.1875MB % 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.26 % CPULimit : 300 % 0.08/0.26 % WCLimit : 300 % 0.08/0.26 % DateTime : Tue Jun 2 21:32:30 EDT 2026 % 0.08/0.26 % CPUTime : % 0.17/0.34 %----Proving TF0_ARI % 0.17/0.37 --- Run --finite-model-find --decision=internal at 45... % 0.17/0.37 % SZS status Theorem % 0.17/0.37 % SZS output start Proof % 0.17/0.37 ( % 0.17/0.37 (define @t1 () (- 13/1)) % 0.17/0.37 (define @t2 () (@var "Y" Real)) % 0.17/0.37 (define @t3 () (- 5)) % 0.17/0.37 (define @t4 () (/ @t3 2)) % 0.17/0.37 (define @t5 () (* @t4 @t2)) % 0.17/0.37 (define @t6 () (@var "X" Real)) % 0.17/0.37 (define @t7 () (+ @t6 @t5)) % 0.17/0.37 (define @t8 () (<= @t7 @t1)) % 0.17/0.37 (define @t9 () (/ 61 2)) % 0.17/0.37 (define @t10 () (+ (* 4/1 @t6) @t2)) % 0.17/0.37 (define @t11 () (<= @t10 @t9)) % 0.17/0.37 (define @t12 () (/ 1 4)) % 0.17/0.37 (define @t13 () (- 3)) % 0.17/0.37 (define @t14 () (/ @t13 2)) % 0.17/0.37 (define @t15 () (* @t14 @t6)) % 0.17/0.37 (define @t16 () (+ @t15 @t2)) % 0.17/0.37 (define @t17 () (<= @t16 @t12)) % 0.17/0.37 (define @t18 () (is_int @t6)) % 0.17/0.37 (define @t19 () (and @t18 @t17 @t11 @t8)) % 0.17/0.37 (define @t20 () (@list @t6 @t2)) % 0.17/0.37 (define @t21 () (exists @t20 @t19)) % 0.17/0.37 (define @t22 () (not @t21)) % 0.17/0.37 (define @t23 () (* -1/1 @t6)) % 0.17/0.37 (define @t24 () (+ @t23 (* 5/2 @t2))) % 0.17/0.37 (define @t25 () (>= @t24 13/1)) % 0.17/0.37 (define @t26 () (not @t25)) % 0.17/0.37 (define @t27 () (+ @t23 (* -1/4 @t2))) % 0.17/0.37 (define @t28 () (>= @t27 -61/8)) % 0.17/0.37 (define @t29 () (not @t28)) % 0.17/0.37 (define @t30 () (+ @t6 (* -2/3 @t2))) % 0.17/0.37 (define @t31 () (>= @t30 -1/6)) % 0.17/0.37 (define @t32 () (not @t31)) % 0.17/0.37 (define @t33 () (not @t18)) % 0.17/0.37 (define @t34 () (or @t33 @t32 @t29 @t26)) % 0.17/0.37 (define @t35 () (forall @t20 @t34)) % 0.17/0.37 (define @t36 () (and @t18 @t31 @t28 @t25)) % 0.17/0.37 (define @t37 () (forall @t20 (not @t36))) % 0.17/0.37 (define @t38 () (not @t37)) % 0.17/0.37 (define @t39 () (+ @t6 (* -5/2 @t2))) % 0.17/0.37 (define @t40 () (to_real @t3)) % 0.17/0.37 (define @t41 () (* @t40 1/2)) % 0.17/0.37 (define @t42 () (+ (* -3/2 @t6) @t2)) % 0.17/0.37 (define @t43 () (to_real @t13)) % 0.17/0.37 (define @t44 () (* @t43 1/2)) % 0.17/0.37 (define @t45 () (* 5/2 31/4)) % 0.17/0.37 (define @t46 () (* -1/1 5/1)) % 0.17/0.37 (define @t47 () (+ @t46 @t45)) % 0.17/0.37 (define @t48 () (>= @t47 13/1)) % 0.17/0.37 (define @t49 () (not @t48)) % 0.17/0.37 (define @t50 () (* -1/4 31/4)) % 0.17/0.37 (define @t51 () (+ @t46 @t50)) % 0.17/0.37 (define @t52 () (>= @t51 -61/8)) % 0.17/0.37 (define @t53 () (not @t52)) % 0.17/0.37 (define @t54 () (* -2/3 31/4)) % 0.17/0.37 (define @t55 () (+ 5/1 @t54)) % 0.17/0.37 (define @t56 () (>= @t55 -1/6)) % 0.17/0.37 (define @t57 () (not @t56)) % 0.17/0.37 (define @t58 () (is_int 5/1)) % 0.17/0.37 (define @t59 () (not @t58)) % 0.17/0.37 (define @t60 () (or @t59 @t57 @t53 @t49)) % 0.17/0.37 (assume @p1 @t22) % 0.17/0.37 (assume @p2 true) % 0.17/0.37 (step @p3 :rule bool-double-not-elim :args (@t35)) % 0.17/0.37 (step @p4 :rule aci_norm :args ((= (or @t33 (or @t32 (or @t29 @t26))) @t34))) % 0.17/0.37 (step @p5 :rule bool-and-de-morgan :args (@t28 @t25 true)) % 0.17/0.37 (step @p6 :rule refl :args (@t32)) % 0.17/0.37 (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((or @t32 (not (and @t28 @t25))))) % 0.17/0.37 (step @p8 :rule bool-and-de-morgan :args (@t31 @t28 (and @t25))) % 0.17/0.37 (step @p9 :rule trans :premises (@p8 @p7)) % 0.17/0.37 (step @p10 :rule refl :args (@t33)) % 0.17/0.37 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((or @t33 (not (and @t31 @t28 @t25))))) % 0.17/0.37 (step @p12 :rule bool-and-de-morgan :args (@t18 @t31 (and @t28 @t25))) % 0.17/0.37 (step @p13 :rule trans :premises (@p12 @p11)) % 0.17/0.37 (step @p14 :rule trans :premises (@p13 @p4)) % 0.17/0.37 (step @p15 :rule cong :premises (@p14) :args (@t37)) % 0.17/0.37 (step @p16 :rule cong :premises (@p15) :args (@t38)) % 0.17/0.37 (step @p17 :rule exists-elim :args ((= (exists @t20 @t36) @t38))) % 0.17/0.37 (step @p18 :rule trans :premises (@p17 @p16)) % 0.17/0.37 (step @p19 :rule arith_poly_norm :args ((= (* -13/1 (- -13/1 @t39)) (* -13/1 (- @t24 13/1))))) % 0.17/0.37 (step @p20 :rule arith_poly_norm_rel :premises (@p19) :args ((= (>= -13/1 @t39) @t25))) % 0.17/0.38 (step @p21 :rule arith-elim-leq :args (@t39 -13/1)) % 0.17/0.38 (step @p22 :rule trans :premises (@p21 @p20)) % 0.17/0.38 (step @p23 :rule evaluate :args (@t1)) % 0.17/0.38 (step @p24 :rule refl :args (@t2)) % 0.17/0.38 (step @p25 :rule evaluate :args ((* -5/1 1/2))) % 0.17/0.38 (step @p26 :rule refl :args (1/2)) % 0.17/0.38 (step @p27 :rule evaluate :args ((to_real -5))) % 0.17/0.38 (step @p28 :rule evaluate :args (@t3)) % 0.17/0.38 (step @p29 :rule cong :premises (@p28) :args (@t40)) % 0.17/0.38 (step @p30 :rule trans :premises (@p29 @p27)) % 0.17/0.38 (step @p31 :rule nary_cong :premises (@p30 @p26) :args (@t41)) % 0.17/0.38 (step @p32 :rule trans :premises (@p31 @p25)) % 0.17/0.38 (step @p33 :rule evaluate :args (@t41)) % 0.17/0.38 (step @p34 :rule symm :premises (@p33)) % 0.17/0.38 (step @p35 :rule evaluate :args (@t4)) % 0.17/0.38 (step @p36 :rule trans :premises (@p35 @p34)) % 0.17/0.38 (step @p37 :rule trans :premises (@p36 @p32)) % 0.17/0.38 (step @p38 :rule nary_cong :premises (@p37 @p24) :args (@t5)) % 0.17/0.38 (step @p39 :rule refl :args (@t6)) % 0.17/0.38 (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t7)) % 0.17/0.38 (step @p41 :rule cong :premises (@p40 @p23) :args (@t8)) % 0.17/0.38 (step @p42 :rule trans :premises (@p41 @p22)) % 0.17/0.38 (step @p43 :rule arith_poly_norm :args ((= (* 61/8 (- 61/2 @t10)) (* 61/2 (- @t27 -61/8))))) % 0.17/0.38 (step @p44 :rule arith_poly_norm_rel :premises (@p43) :args ((= (>= 61/2 @t10) @t28))) % 0.17/0.38 (step @p45 :rule arith-elim-leq :args (@t10 61/2)) % 0.17/0.38 (step @p46 :rule trans :premises (@p45 @p44)) % 0.17/0.38 (step @p47 :rule evaluate :args (@t9)) % 0.17/0.38 (step @p48 :rule refl :args (@t10)) % 0.17/0.38 (step @p49 :rule cong :premises (@p48 @p47) :args (@t11)) % 0.17/0.38 (step @p50 :rule trans :premises (@p49 @p46)) % 0.17/0.38 (step @p51 :rule arith_poly_norm :args ((= (* 1/6 (- 1/4 @t42)) (* 1/4 (- @t30 -1/6))))) % 0.17/0.38 (step @p52 :rule arith_poly_norm_rel :premises (@p51) :args ((= (>= 1/4 @t42) @t31))) % 0.17/0.38 (step @p53 :rule arith-elim-leq :args (@t42 1/4)) % 0.17/0.38 (step @p54 :rule trans :premises (@p53 @p52)) % 0.17/0.38 (step @p55 :rule evaluate :args (@t12)) % 0.17/0.38 (step @p56 :rule evaluate :args ((* -3/1 1/2))) % 0.17/0.38 (step @p57 :rule evaluate :args ((to_real -3))) % 0.17/0.38 (step @p58 :rule evaluate :args (@t13)) % 0.17/0.38 (step @p59 :rule cong :premises (@p58) :args (@t43)) % 0.17/0.38 (step @p60 :rule trans :premises (@p59 @p57)) % 0.17/0.38 (step @p61 :rule nary_cong :premises (@p60 @p26) :args (@t44)) % 0.17/0.38 (step @p62 :rule trans :premises (@p61 @p56)) % 0.17/0.38 (step @p63 :rule evaluate :args (@t44)) % 0.17/0.38 (step @p64 :rule symm :premises (@p63)) % 0.17/0.38 (step @p65 :rule evaluate :args (@t14)) % 0.17/0.38 (step @p66 :rule trans :premises (@p65 @p64)) % 0.17/0.38 (step @p67 :rule trans :premises (@p66 @p62)) % 0.17/0.38 (step @p68 :rule nary_cong :premises (@p67 @p39) :args (@t15)) % 0.17/0.38 (step @p69 :rule nary_cong :premises (@p68 @p24) :args (@t16)) % 0.17/0.38 (step @p70 :rule cong :premises (@p69 @p55) :args (@t17)) % 0.17/0.38 (step @p71 :rule trans :premises (@p70 @p54)) % 0.17/0.38 (step @p72 :rule refl :args (@t18)) % 0.17/0.38 (step @p73 :rule nary_cong :premises (@p72 @p71 @p50 @p42) :args (@t19)) % 0.17/0.38 (step @p74 :rule cong :premises (@p73) :args (@t21)) % 0.17/0.38 (step @p75 :rule trans :premises (@p74 @p18)) % 0.17/0.38 (step @p76 :rule cong :premises (@p75) :args (@t22)) % 0.17/0.38 (step @p77 :rule trans :premises (@p76 @p3)) % 0.17/0.38 (step @p78 :rule eq_resolve :premises (@p1 @p77)) % 0.17/0.38 (step @p79 :rule bool-impl-false1 :args (@t35)) % 0.17/0.38 (step @p80 :rule evaluate :args ((or false false false false))) % 0.17/0.38 (step @p81 :rule evaluate :args ((not true))) % 0.17/0.38 (step @p82 :rule evaluate :args ((>= 115/8 13/1))) % 0.17/0.38 (step @p83 :rule refl :args (13/1)) % 0.17/0.38 (step @p84 :rule evaluate :args ((+ -5/1 155/8))) % 0.17/0.38 (step @p85 :rule evaluate :args (@t45)) % 0.17/0.38 (step @p86 :rule evaluate :args (@t46)) % 0.17/0.38 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t47)) % 0.17/0.38 (step @p88 :rule trans :premises (@p87 @p84)) % 0.17/0.38 (step @p89 :rule cong :premises (@p88 @p83) :args (@t48)) % 0.17/0.38 (step @p90 :rule trans :premises (@p89 @p82)) % 0.17/0.38 (step @p91 :rule cong :premises (@p90) :args (@t49)) % 0.17/0.38 (step @p92 :rule trans :premises (@p91 @p81)) % 0.17/0.38 (step @p93 :rule evaluate :args ((>= -111/16 -61/8))) % 0.17/0.38 (step @p94 :rule refl :args (-61/8)) % 0.17/0.38 (step @p95 :rule evaluate :args ((+ -5/1 -31/16))) % 0.17/0.38 (step @p96 :rule evaluate :args (@t50)) % 0.17/0.38 (step @p97 :rule nary_cong :premises (@p86 @p96) :args (@t51)) % 0.17/0.38 (step @p98 :rule trans :premises (@p97 @p95)) % 0.17/0.38 (step @p99 :rule cong :premises (@p98 @p94) :args (@t52)) % 0.17/0.38 (step @p100 :rule trans :premises (@p99 @p93)) % 0.17/0.38 (step @p101 :rule cong :premises (@p100) :args (@t53)) % 0.17/0.38 (step @p102 :rule trans :premises (@p101 @p81)) % 0.17/0.38 (step @p103 :rule evaluate :args ((>= -1/6 -1/6))) % 0.17/0.38 (step @p104 :rule refl :args (-1/6)) % 0.17/0.38 (step @p105 :rule evaluate :args ((+ 5/1 -31/6))) % 0.17/0.38 (step @p106 :rule evaluate :args (@t54)) % 0.17/0.38 (step @p107 :rule refl :args (5/1)) % 0.17/0.38 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t55)) % 0.17/0.38 (step @p109 :rule trans :premises (@p108 @p105)) % 0.17/0.38 (step @p110 :rule cong :premises (@p109 @p104) :args (@t56)) % 0.17/0.38 (step @p111 :rule trans :premises (@p110 @p103)) % 0.17/0.38 (step @p112 :rule cong :premises (@p111) :args (@t57)) % 0.17/0.38 (step @p113 :rule trans :premises (@p112 @p81)) % 0.17/0.38 (step @p114 :rule evaluate :args (@t58)) % 0.17/0.38 (step @p115 :rule cong :premises (@p114) :args (@t59)) % 0.17/0.38 (step @p116 :rule trans :premises (@p115 @p81)) % 0.17/0.38 (step @p117 :rule nary_cong :premises (@p116 @p113 @p102 @p92) :args (@t60)) % 0.17/0.38 (step @p118 :rule trans :premises (@p117 @p80)) % 0.17/0.38 (step @p119 :rule refl :args (@t35)) % 0.17/0.38 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t35 @t60))) % 0.17/0.38 (step @p121 :rule trans :premises (@p120 @p79)) % 0.17/0.38 (assume-push @p128 @t35) % 0.17/0.38 (step @p123 :rule instantiate :premises (@p78) :args ((@list 5/1 31/4))) % 0.17/0.38 (step-pop @p129 :rule scope :premises (@p123)) % 0.17/0.38 (step @p124 :rule process_scope :premises (@p129) :args (@t60)) % 0.17/0.38 (step @p126 :rule eq_resolve :premises (@p124 @p121)) % 0.17/0.38 (step @p127 false :rule chain_m_resolution :premises (@p126 @p78) :args (false (@list false) (@list @t35))) % 0.17/0.38 ) % 0.17/0.38 % SZS output end Proof % 0.17/0.38 % cvc5 exiting %------------------------------------------------------------------------------