%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI651_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 08:08:03 AM UTC 2026 % Result : Unsatisfiable 0.15s 0.35s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : ARI651_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 % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 21:30:45 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_ARI % 0.15/0.33 --- Run --finite-model-find --decision=internal at 45... % 0.15/0.35 % SZS status Unsatisfiable % 0.15/0.35 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-const tptp.a Int) % 0.15/0.36 (declare-const tptp.b Int) % 0.15/0.36 (define @t1 () (* 2 tptp.b)) % 0.15/0.36 (define @t2 () (- 1)) % 0.15/0.36 (define @t3 () (* @t2 @t1)) % 0.15/0.36 (define @t4 () (+ tptp.a @t3)) % 0.15/0.36 (define @t5 () (* @t2 @t4)) % 0.15/0.36 (define @t6 () (<= 20 @t5)) % 0.15/0.36 (define @t7 () (+ tptp.a tptp.b)) % 0.15/0.36 (define @t8 () (* @t2 @t7)) % 0.15/0.36 (define @t9 () (- 5)) % 0.15/0.36 (define @t10 () (<= @t9 @t8)) % 0.15/0.36 (define @t11 () (* -2 tptp.b)) % 0.15/0.36 (define @t12 () (+ tptp.a @t11)) % 0.15/0.36 (define @t13 () (- @t12 -19)) % 0.15/0.36 (define @t14 () (* -1 tptp.a)) % 0.15/0.36 (define @t15 () (+ @t14 @t1)) % 0.15/0.36 (define @t16 () (+ @t15 1)) % 0.15/0.36 (define @t17 () (>= @t12 -19)) % 0.15/0.36 (define @t18 () (>= 20 @t16)) % 0.15/0.36 (define @t19 () (- @t7 6)) % 0.15/0.36 (define @t20 () (* -1 tptp.b)) % 0.15/0.36 (define @t21 () (+ @t14 @t20)) % 0.15/0.36 (define @t22 () (+ @t21 1)) % 0.15/0.36 (define @t23 () (>= @t7 6)) % 0.15/0.36 (define @t24 () (>= -5 @t22)) % 0.15/0.36 (define @t25 () (>= tptp.a 0)) % 0.15/0.36 (define @t26 () (not @t25)) % 0.15/0.36 (define @t27 () (not @t23)) % 0.15/0.36 (define @t28 () (not @t17)) % 0.15/0.36 (define @t29 () (< @t7 6)) % 0.15/0.36 (define @t30 () (* -3/2 0/1)) % 0.15/0.36 (define @t31 () (* 1/2 -19/1)) % 0.15/0.36 (define @t32 () (+ 6/1 @t31 @t30)) % 0.15/0.36 (define @t33 () (to_real tptp.a)) % 0.15/0.36 (define @t34 () (* -3/2 @t33)) % 0.15/0.36 (define @t35 () (+ @t34 (to_real @t20) (to_real tptp.b) (* 3/2 @t33))) % 0.15/0.36 (define @t36 () (to_real @t12)) % 0.15/0.36 (define @t37 () (* 1/2 @t36)) % 0.15/0.36 (define @t38 () (to_real @t7)) % 0.15/0.36 (define @t39 () (+ @t38 @t37 @t34)) % 0.15/0.36 (define @t40 () (>= @t39 @t32)) % 0.15/0.36 (define @t41 () (< -3/2 0/1)) % 0.15/0.36 (define @t42 () (to_real 0)) % 0.15/0.36 (define @t43 () (>= @t33 @t42)) % 0.15/0.36 (define @t44 () (> 1/2 0/1)) % 0.15/0.36 (define @t45 () (< @t12 -19)) % 0.15/0.36 (define @t46 () (to_real -19)) % 0.15/0.36 (define @t47 () (< @t36 @t46)) % 0.15/0.36 (define @t48 () (to_real 6)) % 0.15/0.36 (define @t49 () (< @t38 @t48)) % 0.15/0.36 (define @t50 () (and @t25 @t28 @t27)) % 0.15/0.36 (assume @p1 @t6) % 0.15/0.36 (assume @p2 (<= 0 tptp.a)) % 0.15/0.36 (assume @p3 @t10) % 0.15/0.36 (step @p4 :rule arith_poly_norm :args ((= (* 19 (- 20 @t16)) (* 19 @t13)))) % 0.15/0.36 (step @p5 :rule arith_poly_norm_rel :premises (@p4) :args ((= @t18 @t17))) % 0.15/0.36 (step @p6 :rule cong :premises (@p5) :args ((not @t18))) % 0.15/0.36 (step @p7 :rule arith-leq-norm :args (20 @t15)) % 0.15/0.36 (step @p8 :rule trans :premises (@p7 @p6)) % 0.15/0.36 (step @p9 :rule arith_poly_norm :args ((= (* -1 @t12) @t15))) % 0.15/0.36 (step @p10 :rule arith_poly_norm :args ((= (* -1 @t1) @t11))) % 0.15/0.36 (step @p11 :rule refl :args (@t1)) % 0.15/0.36 (step @p12 :rule evaluate :args (@t2)) % 0.15/0.36 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t3)) % 0.15/0.36 (step @p14 :rule trans :premises (@p13 @p10)) % 0.15/0.36 (step @p15 :rule refl :args (tptp.a)) % 0.15/0.36 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t4)) % 0.15/0.36 (step @p17 :rule nary_cong :premises (@p12 @p16) :args (@t5)) % 0.15/0.36 (step @p18 :rule trans :premises (@p17 @p9)) % 0.15/0.36 (step @p19 :rule refl :args (20)) % 0.15/0.36 (step @p20 :rule cong :premises (@p19 @p18) :args (@t6)) % 0.15/0.36 (step @p21 :rule trans :premises (@p20 @p8)) % 0.15/0.36 (step @p22 :rule eq_resolve :premises (@p1 @p21)) % 0.15/0.36 (step @p23 :rule arith-elim-leq :args (0 tptp.a)) % 0.15/0.36 (step @p24 :rule eq_resolve :premises (@p2 @p23)) % 0.15/0.36 (step @p25 :rule arith_poly_norm :args ((= (* -6 (- -5 @t22)) (* -6 @t19)))) % 0.15/0.36 (step @p26 :rule arith_poly_norm_rel :premises (@p25) :args ((= @t24 @t23))) % 0.15/0.36 (step @p27 :rule cong :premises (@p26) :args ((not @t24))) % 0.15/0.36 (step @p28 :rule arith-leq-norm :args (-5 @t21)) % 0.15/0.36 (step @p29 :rule trans :premises (@p28 @p27)) % 0.15/0.36 (step @p30 :rule arith_poly_norm :args ((= (* -1 @t7) @t21))) % 0.15/0.36 (step @p31 :rule refl :args (@t7)) % 0.15/0.36 (step @p32 :rule nary_cong :premises (@p12 @p31) :args (@t8)) % 0.15/0.36 (step @p33 :rule trans :premises (@p32 @p30)) % 0.15/0.36 (step @p34 :rule evaluate :args (@t9)) % 0.15/0.36 (step @p35 :rule cong :premises (@p34 @p33) :args (@t10)) % 0.15/0.36 (step @p36 :rule trans :premises (@p35 @p29)) % 0.15/0.36 (step @p37 :rule eq_resolve :premises (@p3 @p36)) % 0.15/0.36 (step @p38 :rule bool-double-not-elim :args (@t23)) % 0.15/0.36 (step @p39 :rule refl :args (@t26)) % 0.15/0.36 (step @p40 :rule bool-double-not-elim :args (@t17)) % 0.15/0.36 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38) :args ((or (not @t28) @t26 (not @t27)))) % 0.15/0.36 (assume-push @p144 @t25) % 0.15/0.36 (assume-push @p145 @t28) % 0.15/0.36 (assume-push @p146 @t27) % 0.15/0.36 (step @p45 :rule arith-elim-lt :args (@t7 6)) % 0.15/0.36 (step @p46 :rule cong :premises (@p45) :args ((not @t29))) % 0.15/0.36 (step @p47 :rule trans :premises (@p46 @p38)) % 0.15/0.36 (step @p48 :rule symm :premises (@p47)) % 0.15/0.36 (assume-push @p147 @t29) % 0.15/0.36 (step @p50 :rule evaluate :args ((not true))) % 0.15/0.36 (step @p51 :rule evaluate :args ((>= 0/1 -7/2))) % 0.15/0.36 (step @p52 :rule evaluate :args ((+ 6/1 -19/2 0/1))) % 0.15/0.36 (step @p53 :rule evaluate :args (@t30)) % 0.15/0.36 (step @p54 :rule evaluate :args (@t31)) % 0.15/0.36 (step @p55 :rule refl :args (6/1)) % 0.15/0.36 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53) :args (@t32)) % 0.15/0.36 (step @p57 :rule trans :premises (@p56 @p52)) % 0.15/0.36 (step @p58 :rule arith_poly_norm :args ((= @t35 0/1))) % 0.15/0.36 (step @p59 :rule arith_poly_norm :args ((= @t39 @t35))) % 0.15/0.36 (step @p60 :rule trans :premises (@p59 @p58)) % 0.15/0.36 (step @p61 :rule cong :premises (@p60 @p57) :args (@t40)) % 0.15/0.36 (step @p62 :rule trans :premises (@p61 @p51)) % 0.15/0.36 (step @p63 :rule cong :premises (@p62) :args ((not @t40))) % 0.15/0.36 (step @p64 :rule trans :premises (@p63 @p50)) % 0.15/0.36 (step @p65 :rule arith-elim-lt :args (@t39 @t32)) % 0.15/0.36 (step @p66 :rule trans :premises (@p65 @p64)) % 0.15/0.36 (assume-push @p148 @t41) % 0.15/0.36 (assume-push @p149 @t25) % 0.15/0.36 (step @p69 :rule arith_mult_neg :args (-3/2 (>= @t33 0/1))) % 0.15/0.36 (step @p70 :rule evaluate :args (@t42)) % 0.15/0.36 (step @p71 :rule refl :args (@t33)) % 0.15/0.36 (step @p72 :rule cong :premises (@p71 @p70) :args (@t43)) % 0.15/0.36 (step @p73 :rule arith_poly_norm :args ((= (* 1/1 (to_real (- tptp.a 0))) (* 1/1 (- @t33 @t42))))) % 0.15/0.36 (step @p74 :rule arith_poly_norm_rel :premises (@p73) :args ((= @t25 @t43))) % 0.15/0.36 (step @p75 :rule trans :premises (@p74 @p72)) % 0.15/0.36 (step @p76 :rule eq_resolve :premises (@p144 @p75)) % 0.15/0.36 (step @p77 :rule and_intro :premises (@p148 @p76)) % 0.15/0.36 (step @p78 :rule modus_ponens :premises (@p77 @p69)) % 0.15/0.36 (step-pop @p150 :rule scope :premises (@p78)) % 0.15/0.36 (step-pop @p151 :rule scope :premises (@p150)) % 0.15/0.36 (step @p79 :rule process_scope :premises (@p151) :args ((<= @t34 @t30))) % 0.15/0.36 (step @p82 :rule evaluate :args (@t41)) % 0.15/0.36 (step @p83 :rule true_elim :premises (@p82)) % 0.15/0.36 (step @p84 :rule and_intro :premises (@p83 @p24)) % 0.15/0.36 (step @p85 :rule modus_ponens :premises (@p84 @p79)) % 0.15/0.36 (assume-push @p152 @t44) % 0.15/0.36 (assume-push @p153 @t45) % 0.15/0.36 (step @p88 :rule arith_mult_pos :args (1/2 (< @t36 -19/1))) % 0.15/0.36 (step @p89 :rule evaluate :args (@t46)) % 0.15/0.36 (step @p90 :rule refl :args (@t36)) % 0.15/0.36 (step @p91 :rule cong :premises (@p90 @p89) :args (@t47)) % 0.15/0.36 (step @p92 :rule arith_poly_norm :args ((= (* 19/1 (to_real @t13)) (* 19/1 (- @t36 @t46))))) % 0.15/0.36 (step @p93 :rule arith_poly_norm_rel :premises (@p92) :args ((= @t45 @t47))) % 0.15/0.36 (step @p94 :rule trans :premises (@p93 @p91)) % 0.15/0.36 (step @p95 :rule eq_resolve :premises (@p153 @p94)) % 0.15/0.36 (step @p96 :rule and_intro :premises (@p152 @p95)) % 0.15/0.36 (step @p97 :rule modus_ponens :premises (@p96 @p88)) % 0.15/0.36 (step-pop @p154 :rule scope :premises (@p97)) % 0.15/0.36 (step-pop @p155 :rule scope :premises (@p154)) % 0.15/0.36 (step @p98 :rule process_scope :premises (@p155) :args ((< @t37 @t31))) % 0.15/0.36 (step @p101 :rule arith-elim-lt :args (@t12 -19)) % 0.15/0.36 (step @p102 :rule symm :premises (@p101)) % 0.15/0.36 (step @p103 :rule eq_resolve :premises (@p22 @p102)) % 0.15/0.36 (step @p104 :rule evaluate :args (@t44)) % 0.15/0.36 (step @p105 :rule true_elim :premises (@p104)) % 0.15/0.36 (step @p106 :rule and_intro :premises (@p105 @p103)) % 0.15/0.36 (step @p107 :rule modus_ponens :premises (@p106 @p98)) % 0.15/0.36 (step @p108 :rule evaluate :args (@t48)) % 0.15/0.36 (step @p109 :rule refl :args (@t38)) % 0.15/0.36 (step @p110 :rule cong :premises (@p109 @p108) :args (@t49)) % 0.15/0.36 (step @p111 :rule arith_poly_norm :args ((= (* -6/1 (to_real @t19)) (* -6/1 (- @t38 @t48))))) % 0.15/0.36 (step @p112 :rule arith_poly_norm_rel :premises (@p111) :args ((= @t29 @t49))) % 0.15/0.36 (step @p113 :rule trans :premises (@p112 @p110)) % 0.15/0.36 (step @p114 :rule symm :premises (@p45)) % 0.15/0.36 (step @p115 :rule eq_resolve :premises (@p3 @p36)) % 0.15/0.36 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.15/0.36 (step @p117 :rule eq_resolve :premises (@p116 @p113)) % 0.15/0.36 (step @p118 :rule arith_sum_ub :premises (@p117 @p107 @p85)) % 0.15/0.36 (step @p119 false :rule eq_resolve :premises (@p118 @p66)) % 0.15/0.36 (step-pop @p156 :rule scope :premises (@p119)) % 0.15/0.36 (step @p120 :rule process_scope :premises (@p156) :args (false)) % 0.15/0.36 (step @p122 :rule eq_resolve :premises (@p120 @p47)) % 0.15/0.36 (step @p123 :rule eq_resolve :premises (@p122 @p48)) % 0.15/0.36 (step @p114 :rule symm :premises (@p45)) % 0.15/0.36 (step @p124 :rule eq_resolve :premises (@p37 @p114)) % 0.15/0.36 (step @p125 false :rule contra :premises (@p124 @p123)) % 0.15/0.36 (step-pop @p157 :rule scope :premises (@p125)) % 0.15/0.36 (step-pop @p158 :rule scope :premises (@p157)) % 0.15/0.36 (step-pop @p159 :rule scope :premises (@p158)) % 0.15/0.36 (step @p126 :rule process_scope :premises (@p159) :args (false)) % 0.15/0.36 (assume-push @p160 @t28) % 0.15/0.36 (assume-push @p161 @t25) % 0.15/0.36 (assume-push @p162 @t27) % 0.15/0.36 (step @p133 :rule and_intro :premises (@p24 @p22 @p37)) % 0.15/0.36 (step-pop @p163 :rule scope :premises (@p133)) % 0.15/0.36 (step-pop @p164 :rule scope :premises (@p163)) % 0.15/0.36 (step-pop @p165 :rule scope :premises (@p164)) % 0.15/0.36 (step @p134 :rule process_scope :premises (@p165) :args (@t50)) % 0.15/0.36 (step @p138 :rule implies_elim :premises (@p134)) % 0.15/0.36 (step @p139 :rule resolution :premises (@p138 @p126) :args (true @t50)) % 0.15/0.36 (step @p140 :rule not_and :premises (@p139)) % 0.15/0.36 (step @p141 :rule eq_resolve :premises (@p140 @p41)) % 0.15/0.36 (step @p142 :rule reordering :premises (@p141) :args ((or @t17 @t23 @t26))) % 0.15/0.36 (step @p143 false :rule chain_m_resolution :premises (@p142 @p37 @p24 @p22) :args (false (@list true false true) (@list @t23 @t25 @t17))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------