%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI634_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:08:01 AM UTC 2026 % Result : Theorem 45.46s 45.63s % Output : Proof 45.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI634_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n020.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Wed Jun 3 02:30:56 EDT 2026 % 0.18/0.34 % CPUTime : % 0.34/0.49 %----Proving TF0_ARI % 45.46/45.63 --- Run --finite-model-find --decision=internal at 45... % 45.46/45.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.46/45.63 % SZS status Theorem % 45.46/45.63 % SZS output start Proof % 45.46/45.63 ( % 45.46/45.63 (declare-const tptp.x Real) % 45.46/45.63 (declare-const tptp.w Real) % 45.46/45.63 (declare-const tptp.u Real) % 45.46/45.63 (declare-const tptp.v Real) % 45.46/45.63 (declare-const tptp.f (-> Real Real)) % 45.46/45.63 (define @t1 () (@var "X" Real)) % 45.46/45.63 (define @t2 () (tptp.f @t1)) % 45.46/45.63 (define @t3 () (forall (@list @t1) (<= @t2 2/1))) % 45.46/45.63 (define @t4 () (> tptp.w 0/1)) % 45.46/45.63 (define @t5 () (+ tptp.v tptp.w)) % 45.46/45.63 (define @t6 () (tptp.f tptp.x)) % 45.46/45.63 (define @t7 () (- 1/1)) % 45.46/45.63 (define @t8 () (+ @t7 @t6)) % 45.46/45.63 (define @t9 () (* tptp.w @t8)) % 45.46/45.63 (define @t10 () (+ tptp.u @t9)) % 45.46/45.63 (define @t11 () (not (< @t10 @t5))) % 45.46/45.63 (define @t12 () (* -1/1 tptp.v)) % 45.46/45.63 (define @t13 () (+ tptp.u @t12)) % 45.46/45.63 (define @t14 () (>= @t13 0/1)) % 45.46/45.63 (define @t15 () (>= tptp.u tptp.v)) % 45.46/45.63 (define @t16 () (* tptp.w @t6)) % 45.46/45.63 (define @t17 () (+ tptp.u @t12 (* -2/1 tptp.w) @t16)) % 45.46/45.63 (define @t18 () (>= @t17 0/1)) % 45.46/45.63 (define @t19 () (* -1/1 tptp.w)) % 45.46/45.63 (define @t20 () (+ tptp.u @t19 @t16)) % 45.46/45.63 (define @t21 () (+ @t19 @t16)) % 45.46/45.63 (define @t22 () (>= @t10 @t5)) % 45.46/45.63 (define @t23 () (* -1/1 @t2)) % 45.46/45.63 (define @t24 () (>= @t19 0/1)) % 45.46/45.63 (define @t25 () (>= 0/1 tptp.w)) % 45.46/45.63 (define @t26 () (* -1/1 @t6)) % 45.46/45.63 (define @t27 () (>= @t26 -2/1)) % 45.46/45.63 (define @t28 () (not @t27)) % 45.46/45.63 (define @t29 () (not @t24)) % 45.46/45.63 (define @t30 () (and @t29 @t27)) % 45.46/45.63 (define @t31 () (* -1/2 @t16)) % 45.46/45.63 (define @t32 () (+ tptp.w @t31)) % 45.46/45.63 (define @t33 () (* 2/1 tptp.w)) % 45.46/45.63 (define @t34 () (>= @t32 0/1)) % 45.46/45.63 (define @t35 () (* tptp.w 2/1)) % 45.46/45.63 (define @t36 () (* tptp.w @t6)) % 45.46/45.63 (define @t37 () (<= @t36 @t35)) % 45.46/45.63 (define @t38 () (and @t4 @t27)) % 45.46/45.63 (define @t39 () (<= @t6 2/1)) % 45.46/45.63 (define @t40 () (and @t4 @t39)) % 45.46/45.63 (define @t41 () (@list false)) % 45.46/45.63 (define @t42 () (@list @t30)) % 45.46/45.63 (define @t43 () (not @t34)) % 45.46/45.63 (define @t44 () (not @t18)) % 45.46/45.63 (define @t45 () (not @t14)) % 45.46/45.63 (define @t46 () (* -1/2 0/1)) % 45.46/45.63 (define @t47 () (* 1/2 0/1)) % 45.46/45.63 (define @t48 () (* -1/1 0/1)) % 45.46/45.63 (define @t49 () (+ @t48 @t47 @t46)) % 45.46/45.63 (define @t50 () (+ (* -1/2 tptp.u) (* 1/2 tptp.v) tptp.w @t31)) % 45.46/45.63 (define @t51 () (+ (* 1/2 tptp.u) (* -1/2 tptp.v))) % 45.46/45.63 (define @t52 () (+ @t19 (* 1/2 @t16))) % 45.46/45.63 (define @t53 () (* -1/2 @t17)) % 45.46/45.63 (define @t54 () (* 1/2 @t13)) % 45.46/45.63 (define @t55 () (* -1/1 @t32)) % 45.46/45.63 (define @t56 () (+ @t55 @t54 @t53)) % 45.46/45.63 (define @t57 () (>= @t56 @t49)) % 45.46/45.63 (define @t58 () (and @t18 @t45 @t34)) % 45.46/45.63 (assume @p1 @t3) % 45.46/45.63 (assume @p2 (< tptp.u tptp.v)) % 45.46/45.63 (assume @p3 @t4) % 45.46/45.63 (assume @p4 @t11) % 45.46/45.63 (assume @p5 true) % 45.46/45.63 (step @p6 :rule arith_poly_norm :args ((= (* 1/1 (- tptp.u tptp.v)) (* 1/1 (- @t13 0/1))))) % 45.46/45.63 (step @p7 :rule arith_poly_norm_rel :premises (@p6) :args ((= @t15 @t14))) % 45.46/45.63 (step @p8 :rule cong :premises (@p7) :args ((not @t15))) % 45.46/45.63 (step @p9 :rule arith-elim-lt :args (tptp.u tptp.v)) % 45.46/45.63 (step @p10 :rule trans :premises (@p9 @p8)) % 45.46/45.63 (step @p11 :rule eq_resolve :premises (@p2 @p10)) % 45.46/45.63 (step @p12 :rule bool-double-not-elim :args (@t18)) % 45.46/45.63 (step @p13 :rule arith_poly_norm :args ((= (* 1/1 (- @t20 @t5)) (* 1/1 (- @t17 0/1))))) % 45.46/45.63 (step @p14 :rule arith_poly_norm_rel :premises (@p13) :args ((= (>= @t20 @t5) @t18))) % 45.46/45.63 (step @p15 :rule refl :args (@t5)) % 45.46/45.63 (step @p16 :rule arith_poly_norm :args ((= (+ tptp.u @t21) @t20))) % 45.46/45.63 (step @p17 :rule arith_poly_norm :args ((= (* tptp.w (+ -1/1 @t6)) @t21))) % 45.46/45.63 (step @p18 :rule refl :args (@t6)) % 45.46/45.63 (step @p19 :rule evaluate :args (@t7)) % 45.46/45.63 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t8)) % 45.46/45.63 (step @p21 :rule refl :args (tptp.w)) % 45.46/45.63 (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t9)) % 45.46/45.63 (step @p23 :rule trans :premises (@p22 @p17)) % 45.46/45.63 (step @p24 :rule refl :args (tptp.u)) % 45.46/45.63 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t10)) % 45.46/45.63 (step @p26 :rule trans :premises (@p25 @p16)) % 45.46/45.63 (step @p27 :rule cong :premises (@p26 @p15) :args (@t22)) % 45.46/45.63 (step @p28 :rule trans :premises (@p27 @p14)) % 45.46/45.63 (step @p29 :rule cong :premises (@p28) :args ((not @t22))) % 45.46/45.63 (step @p30 :rule arith-elim-lt :args (@t10 @t5)) % 45.46/45.63 (step @p31 :rule trans :premises (@p30 @p29)) % 45.46/45.63 (step @p32 :rule cong :premises (@p31) :args (@t11)) % 45.46/45.63 (step @p33 :rule trans :premises (@p32 @p12)) % 45.46/45.63 (step @p34 :rule eq_resolve :premises (@p4 @p33)) % 45.46/45.63 (step @p35 :rule arith_poly_norm :args ((= (* 2/1 (- 2/1 @t2)) (* 2/1 (- @t23 -2/1))))) % 45.46/45.63 (step @p36 :rule arith_poly_norm_rel :premises (@p35) :args ((= (>= 2/1 @t2) (>= @t23 -2/1)))) % 45.46/45.63 (step @p37 :rule arith-elim-leq :args (@t2 2/1)) % 45.46/45.63 (step @p38 :rule trans :premises (@p37 @p36)) % 45.46/45.63 (step @p39 :rule cong :premises (@p38) :args (@t3)) % 45.46/45.63 (step @p40 :rule eq_resolve :premises (@p1 @p39)) % 45.46/45.63 (step @p41 :rule instantiate :premises (@p40) :args ((@list tptp.x))) % 45.46/45.63 (step @p42 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 tptp.w)) (* -1/1 (- @t19 0/1))))) % 45.46/45.63 (step @p43 :rule arith_poly_norm_rel :premises (@p42) :args ((= @t25 @t24))) % 45.46/45.63 (step @p44 :rule arith-elim-leq :args (tptp.w 0/1)) % 45.46/45.63 (step @p45 :rule trans :premises (@p44 @p43)) % 45.46/45.63 (step @p46 :rule cong :premises (@p45) :args ((not (<= tptp.w 0/1)))) % 45.46/45.63 (step @p47 :rule symm :premises (@p44)) % 45.46/45.63 (step @p48 :rule cong :premises (@p47) :args ((not @t25))) % 45.46/45.63 (step @p49 :rule arith-elim-gt :args (tptp.w 0/1)) % 45.46/45.63 (step @p50 :rule trans :premises (@p49 @p48)) % 45.46/45.63 (step @p51 :rule trans :premises (@p50 @p46)) % 45.46/45.63 (step @p52 :rule eq_resolve :premises (@p3 @p51)) % 45.46/45.63 (step @p53 :rule refl :args (@t28)) % 45.46/45.63 (step @p54 :rule bool-double-not-elim :args (@t24)) % 45.46/45.63 (step @p55 :rule refl :args (@t30)) % 45.46/45.63 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53) :args ((or @t30 (not @t29) @t28))) % 45.46/45.63 (step @p57 :rule cnf_and_neg :args (@t30)) % 45.46/45.63 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 45.46/45.63 (step @p59 :rule reordering :premises (@p58) :args ((or @t24 @t28 @t30))) % 45.46/45.63 (step @p60 :rule chain_m_resolution :premises (@p59 @p52 @p41) :args (@t30 (@list true false) (@list @t24 @t27))) % 45.46/45.63 (step @p61 :rule arith_poly_norm :args ((= (* 1/1 (- @t33 @t16)) (* 2/1 (- @t32 0/1))))) % 45.46/45.63 (step @p62 :rule arith_poly_norm_rel :premises (@p61) :args ((= (>= @t33 @t16) @t34))) % 45.46/45.63 (step @p63 :rule arith-elim-leq :args (@t16 @t33)) % 45.46/45.63 (step @p64 :rule trans :premises (@p63 @p62)) % 45.46/45.63 (step @p65 :rule arith_poly_norm :args ((= @t35 @t33))) % 45.46/45.63 (step @p66 :rule arith_poly_norm :args ((= @t36 @t16))) % 45.46/45.63 (step @p67 :rule cong :premises (@p66 @p65) :args (@t37)) % 45.46/45.63 (step @p68 :rule trans :premises (@p67 @p64)) % 45.46/45.63 (step @p69 :rule refl :args (@t27)) % 45.46/45.63 (step @p70 :rule nary_cong :premises (@p51 @p69) :args (@t38)) % 45.46/45.63 (step @p71 :rule cong :premises (@p70 @p68) :args ((=> @t38 @t37))) % 45.46/45.63 (step @p72 :rule symm :premises (@p71)) % 45.46/45.63 (step @p73 :rule arith_poly_norm :args ((= (* 2/1 (- 2/1 @t6)) (* 2/1 (- @t26 -2/1))))) % 45.46/45.63 (step @p74 :rule arith_poly_norm_rel :premises (@p73) :args ((= (>= 2/1 @t6) @t27))) % 45.46/45.63 (step @p75 :rule arith-elim-leq :args (@t6 2/1)) % 45.46/45.63 (step @p76 :rule trans :premises (@p75 @p74)) % 45.46/45.63 (step @p77 :rule nary_cong :premises (@p51 @p76) :args (@t40)) % 45.46/45.63 (step @p78 :rule cong :premises (@p77 @p68) :args ((=> @t40 @t37))) % 45.46/45.63 (step @p79 :rule trans :premises (@p78 @p72)) % 45.46/45.63 (step @p80 :rule arith_mult_pos :args (tptp.w @t39)) % 45.46/45.63 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 45.46/45.63 (step @p82 :rule eq_resolve :premises (@p81 @p71)) % 45.46/45.63 (step @p83 :rule implies_elim :premises (@p82)) % 45.46/45.63 (step @p84 :rule reordering :premises (@p83) :args ((or @t34 (not @t30)))) % 45.46/45.63 (step @p85 :rule chain_m_resolution :premises (@p84 @p60) :args (@t34 @t41 @t42)) % 45.46/45.63 (step @p86 :rule refl :args (@t43)) % 45.46/45.63 (step @p87 :rule refl :args (@t44)) % 45.46/45.63 (step @p88 :rule bool-double-not-elim :args (@t14)) % 45.46/45.63 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86) :args ((or (not @t45) @t44 @t43))) % 45.46/45.63 (assume-push @p159 @t18) % 45.46/45.63 (assume-push @p160 @t45) % 45.46/45.63 (assume-push @p161 @t34) % 45.46/45.63 (step @p93 :rule arith-elim-lt :args (@t32 0/1)) % 45.46/45.63 (step @p94 :rule symm :premises (@p93)) % 45.46/45.63 (assume-push @p162 @t34) % 45.46/45.63 (step @p96 :rule evaluate :args ((not true))) % 45.46/45.63 (step @p97 :rule evaluate :args ((>= 0/1 0/1))) % 45.46/45.63 (step @p98 :rule evaluate :args ((+ 0/1 0/1 0/1))) % 45.46/45.63 (step @p99 :rule evaluate :args (@t46)) % 45.46/45.63 (step @p100 :rule evaluate :args (@t47)) % 45.46/45.63 (step @p101 :rule evaluate :args (@t48)) % 45.46/45.63 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99) :args (@t49)) % 45.46/45.63 (step @p103 :rule trans :premises (@p102 @p98)) % 45.46/45.63 (step @p104 :rule arith_poly_norm :args ((= (+ @t52 @t51 @t50) 0/1))) % 45.46/45.63 (step @p105 :rule arith_poly_norm :args ((= @t53 @t50))) % 45.46/45.63 (step @p106 :rule arith_poly_norm :args ((= @t54 @t51))) % 45.46/45.63 (step @p107 :rule arith_poly_norm :args ((= @t55 @t52))) % 45.46/45.63 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105) :args (@t56)) % 45.46/45.63 (step @p109 :rule trans :premises (@p108 @p104)) % 45.46/45.63 (step @p110 :rule cong :premises (@p109 @p103) :args (@t57)) % 45.46/45.63 (step @p111 :rule trans :premises (@p110 @p97)) % 45.46/45.63 (step @p112 :rule cong :premises (@p111) :args ((not @t57))) % 45.46/45.63 (step @p113 :rule trans :premises (@p112 @p96)) % 45.46/45.63 (step @p114 :rule arith-elim-lt :args (@t56 @t49)) % 45.46/45.63 (step @p115 :rule trans :premises (@p114 @p113)) % 45.46/45.63 (step @p116 :rule arith_mult_neg :args (-1/2 @t18)) % 45.46/45.63 (step @p117 :rule evaluate :args ((< -1/2 0/1))) % 45.46/45.63 (step @p118 :rule true_elim :premises (@p117)) % 45.46/45.63 (step @p119 :rule and_intro :premises (@p118 @p34)) % 45.46/45.63 (step @p120 :rule modus_ponens :premises (@p119 @p116)) % 45.46/45.63 (step @p121 :rule arith_mult_pos :args (1/2 (< @t13 0/1))) % 45.46/45.63 (step @p122 :rule arith-elim-lt :args (@t13 0/1)) % 45.46/45.63 (step @p123 :rule symm :premises (@p122)) % 45.46/45.63 (step @p124 :rule eq_resolve :premises (@p11 @p123)) % 45.46/45.63 (step @p125 :rule evaluate :args ((> 1/2 0/1))) % 45.46/45.63 (step @p126 :rule true_elim :premises (@p125)) % 45.46/45.63 (step @p127 :rule and_intro :premises (@p126 @p124)) % 45.46/45.63 (step @p128 :rule modus_ponens :premises (@p127 @p121)) % 45.46/45.63 (step @p129 :rule arith_mult_neg :args (-1/1 @t34)) % 45.46/45.63 (step @p130 :rule chain_m_resolution :premises (@p84 @p60) :args (@t34 @t41 @t42)) % 45.46/45.63 (step @p131 :rule evaluate :args ((< -1/1 0/1))) % 45.46/45.63 (step @p132 :rule true_elim :premises (@p131)) % 45.46/45.63 (step @p133 :rule and_intro :premises (@p132 @p130)) % 45.46/45.63 (step @p134 :rule modus_ponens :premises (@p133 @p129)) % 45.46/45.63 (step @p135 :rule arith_sum_ub :premises (@p134 @p128 @p120)) % 45.46/45.63 (step @p136 false :rule eq_resolve :premises (@p135 @p115)) % 45.46/45.63 (step-pop @p163 :rule scope :premises (@p136)) % 45.46/45.63 (step @p137 :rule process_scope :premises (@p163) :args (false)) % 45.46/45.63 (step @p139 :rule eq_resolve :premises (@p137 @p94)) % 45.46/45.63 (step @p140 :rule eq_resolve :premises (@p139 @p93)) % 45.46/45.63 (step @p141 false :rule contra :premises (@p85 @p140)) % 45.46/45.63 (step-pop @p164 :rule scope :premises (@p141)) % 45.46/45.63 (step-pop @p165 :rule scope :premises (@p164)) % 45.46/45.63 (step-pop @p166 :rule scope :premises (@p165)) % 45.46/45.63 (step @p142 :rule process_scope :premises (@p166) :args (false)) % 45.46/45.63 (assume-push @p167 @t45) % 45.46/45.63 (assume-push @p168 @t18) % 45.46/45.63 (assume-push @p169 @t34) % 45.46/45.63 (step @p149 :rule and_intro :premises (@p34 @p11 @p85)) % 45.46/45.63 (step-pop @p170 :rule scope :premises (@p149)) % 45.46/45.63 (step-pop @p171 :rule scope :premises (@p170)) % 45.46/45.63 (step-pop @p172 :rule scope :premises (@p171)) % 45.46/45.63 (step @p150 :rule process_scope :premises (@p172) :args (@t58)) % 45.46/45.63 (step @p154 :rule implies_elim :premises (@p150)) % 45.46/45.63 (step @p155 :rule resolution :premises (@p154 @p142) :args (true @t58)) % 45.46/45.63 (step @p156 :rule not_and :premises (@p155)) % 45.46/45.63 (step @p157 :rule eq_resolve :premises (@p156 @p89)) % 45.46/45.63 (step @p158 false :rule chain_m_resolution :premises (@p157 @p85 @p34 @p11) :args (false (@list false false true) (@list @t34 @t18 @t14))) % 45.46/45.63 ) % 45.46/45.63 % SZS output end Proof % 45.46/45.63 % cvc5 exiting %------------------------------------------------------------------------------