%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI699_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 : n015.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 08:08:09 AM UTC 2026 % Result : Unsatisfiable 0.35s 0.55s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI699_1 : TPTP v9.2.1. Released v6.3.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n015.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 02:31:49 EDT 2026 % 0.16/0.35 % CPUTime : % 0.35/0.50 %----Proving TF0_ARI % 0.35/0.51 --- Run --finite-model-find --decision=internal at 45... % 0.35/0.55 % SZS status Unsatisfiable % 0.35/0.55 % SZS output start Proof % 0.35/0.57 ( % 0.35/0.57 (declare-const tptp.z Int) % 0.35/0.57 (declare-const tptp.y Int) % 0.35/0.57 (declare-const tptp.x Int) % 0.35/0.57 (define @t1 () (> tptp.x 0)) % 0.35/0.57 (define @t2 () (* tptp.y tptp.x)) % 0.35/0.57 (define @t3 () (- 1)) % 0.35/0.57 (define @t4 () (* @t3 @t2)) % 0.35/0.57 (define @t5 () (* tptp.z tptp.z)) % 0.35/0.57 (define @t6 () (* @t5 tptp.x)) % 0.35/0.57 (define @t7 () (+ @t6 @t4)) % 0.35/0.57 (define @t8 () (<= 0 @t7)) % 0.35/0.57 (define @t9 () (* (* 2 tptp.z) tptp.z)) % 0.35/0.57 (define @t10 () (= @t9 tptp.y)) % 0.35/0.57 (define @t11 () (* -1 1)) % 0.35/0.57 (define @t12 () (+ 0 @t11)) % 0.35/0.57 (define @t13 () (* tptp.z tptp.z)) % 0.35/0.57 (define @t14 () (+ @t13 (* -1 @t13))) % 0.35/0.57 (define @t15 () (to_int 1/2)) % 0.35/0.57 (define @t16 () (to_real @t13)) % 0.35/0.57 (define @t17 () (* 2 @t13)) % 0.35/0.57 (define @t18 () (>= tptp.y 1)) % 0.35/0.57 (define @t19 () (+ 0 1)) % 0.35/0.57 (define @t20 () (>= tptp.y @t19)) % 0.35/0.57 (define @t21 () (* 0 0)) % 0.35/0.57 (define @t22 () (* tptp.z tptp.z tptp.x)) % 0.35/0.57 (define @t23 () (* -1 @t22)) % 0.35/0.57 (define @t24 () (+ @t22 1)) % 0.35/0.57 (define @t25 () (* -2 @t22)) % 0.35/0.57 (define @t26 () (* 2 @t22)) % 0.35/0.57 (define @t27 () (* tptp.x @t17)) % 0.35/0.57 (define @t28 () (* -1 @t27)) % 0.35/0.57 (define @t29 () (+ @t22 @t28)) % 0.35/0.57 (define @t30 () (* tptp.x tptp.y)) % 0.35/0.57 (define @t31 () (* -1 @t30)) % 0.35/0.57 (define @t32 () (+ @t22 @t31)) % 0.35/0.57 (define @t33 () (>= @t22 1)) % 0.35/0.57 (define @t34 () (>= @t22 @t19)) % 0.35/0.57 (define @t35 () (>= tptp.x 1)) % 0.35/0.57 (define @t36 () (>= tptp.x @t19)) % 0.35/0.57 (define @t37 () (= tptp.z 0)) % 0.35/0.57 (define @t38 () (not @t37)) % 0.35/0.57 (define @t39 () (and @t38 @t1)) % 0.35/0.57 (define @t40 () (and @t38 @t35)) % 0.35/0.57 (define @t41 () (not @t40)) % 0.35/0.57 (define @t42 () (not @t35)) % 0.35/0.57 (assume @p1 @t1) % 0.35/0.57 (assume @p2 (> tptp.y 0)) % 0.35/0.57 (assume @p3 @t8) % 0.35/0.57 (assume @p4 @t10) % 0.35/0.57 (step @p5 :rule evaluate :args ((<= 0 -1))) % 0.35/0.57 (step @p6 :rule evaluate :args ((+ 0 -1))) % 0.35/0.57 (step @p7 :rule evaluate :args (@t11)) % 0.35/0.57 (step @p8 :rule refl :args (0)) % 0.35/0.57 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t12)) % 0.35/0.57 (step @p10 :rule trans :premises (@p9 @p6)) % 0.35/0.57 (step @p11 :rule arith_poly_norm :args ((= @t14 0))) % 0.35/0.57 (step @p12 :rule cong :premises (@p11 @p10) :args ((<= @t14 @t12))) % 0.35/0.57 (step @p13 :rule trans :premises (@p12 @p5)) % 0.35/0.57 (step @p14 :rule arith_mult_neg :args (-1 (>= @t13 1))) % 0.35/0.57 (step @p15 :rule evaluate :args ((+ @t15 1))) % 0.35/0.57 (step @p16 :rule symm :premises (@p15)) % 0.35/0.57 (step @p17 :rule evaluate :args ((= (to_real @t15) 1/2))) % 0.35/0.57 (step @p18 :rule arith-int-geq-tighten :premises (@p17 @p16) :args (@t13 1/2 1)) % 0.35/0.57 (step @p19 :rule arith_poly_norm :args ((= (* -1/2 (to_real (- @t17 1))) (* -1/1 (- @t16 1/2))))) % 0.35/0.57 (step @p20 :rule arith_poly_norm_rel :premises (@p19) :args ((= (>= @t17 1) (>= @t16 1/2)))) % 0.35/0.57 (step @p21 :rule trans :premises (@p20 @p18)) % 0.35/0.57 (step @p22 :rule refl :args (1)) % 0.35/0.57 (step @p23 :rule arith_poly_norm :args ((= (* 1 (- @t17 tptp.y)) (* -1 (- tptp.y @t17))))) % 0.35/0.57 (step @p24 :rule arith_poly_norm_rel :premises (@p23) :args ((= (= @t17 tptp.y) (= tptp.y @t17)))) % 0.35/0.57 (step @p25 :rule refl :args (tptp.y)) % 0.35/0.57 (step @p26 :rule arith_poly_norm :args ((= @t9 @t17))) % 0.35/0.57 (step @p27 :rule cong :premises (@p26 @p25) :args (@t10)) % 0.35/0.57 (step @p28 :rule trans :premises (@p27 @p24)) % 0.35/0.57 (step @p29 :rule eq_resolve :premises (@p4 @p28)) % 0.35/0.57 (step @p30 :rule cong :premises (@p29 @p22) :args (@t18)) % 0.35/0.57 (step @p31 :rule trans :premises (@p30 @p21)) % 0.35/0.57 (step @p32 :rule bool-double-not-elim :args (@t18)) % 0.35/0.57 (step @p33 :rule evaluate :args (@t19)) % 0.35/0.57 (step @p34 :rule refl :args (tptp.y)) % 0.35/0.57 (step @p35 :rule cong :premises (@p34 @p33) :args (@t20)) % 0.35/0.57 (step @p36 :rule cong :premises (@p35) :args ((not @t20))) % 0.35/0.57 (step @p37 :rule arith-leq-norm :args (tptp.y 0)) % 0.35/0.57 (step @p38 :rule trans :premises (@p37 @p36)) % 0.35/0.57 (step @p39 :rule cong :premises (@p38) :args ((not (<= tptp.y 0)))) % 0.35/0.57 (step @p40 :rule trans :premises (@p39 @p32)) % 0.35/0.57 (step @p41 :rule arith-elim-leq :args (tptp.y 0)) % 0.35/0.57 (step @p42 :rule symm :premises (@p41)) % 0.35/0.57 (step @p43 :rule cong :premises (@p42) :args ((not (>= 0 tptp.y)))) % 0.35/0.57 (step @p44 :rule arith-elim-gt :args (tptp.y 0)) % 0.35/0.57 (step @p45 :rule trans :premises (@p44 @p43)) % 0.35/0.57 (step @p46 :rule trans :premises (@p45 @p40)) % 0.35/0.57 (step @p47 :rule trans :premises (@p46 @p31)) % 0.35/0.57 (step @p48 :rule eq_resolve :premises (@p2 @p47)) % 0.35/0.57 (step @p49 :rule evaluate :args ((< -1 0))) % 0.35/0.57 (step @p50 :rule true_elim :premises (@p49)) % 0.35/0.57 (step @p51 :rule and_intro :premises (@p50 @p48)) % 0.35/0.57 (step @p52 :rule modus_ponens :premises (@p51 @p14)) % 0.35/0.57 (step @p53 :rule evaluate :args ((= 0 0))) % 0.35/0.57 (step @p54 :rule evaluate :args (@t21)) % 0.35/0.57 (step @p55 :rule cong :premises (@p54 @p8) :args ((= @t21 0))) % 0.35/0.57 (step @p56 :rule trans :premises (@p55 @p53)) % 0.35/0.57 (step @p57 :rule arith_poly_norm :args ((= (* -1 (- 1 @t24)) (* -1 (- @t23 0))))) % 0.35/0.57 (step @p58 :rule arith_poly_norm_rel :premises (@p57) :args ((= (>= 1 @t24) (>= @t23 0)))) % 0.35/0.57 (step @p59 :rule arith-geq-tighten :args (@t22 1)) % 0.35/0.57 (step @p60 :rule trans :premises (@p59 @p58)) % 0.35/0.57 (step @p61 :rule symm :premises (@p60)) % 0.35/0.57 (step @p62 :rule arith_poly_norm :args ((= (+ @t22 @t25) @t23))) % 0.35/0.57 (step @p63 :rule arith_poly_norm :args ((= (* -1 @t26) @t25))) % 0.35/0.57 (step @p64 :rule arith_poly_norm :args ((= @t27 @t26))) % 0.35/0.57 (step @p65 :rule refl :args (-1)) % 0.35/0.57 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t28)) % 0.35/0.57 (step @p67 :rule trans :premises (@p66 @p63)) % 0.35/0.57 (step @p68 :rule refl :args (@t22)) % 0.35/0.57 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t29)) % 0.35/0.57 (step @p70 :rule trans :premises (@p69 @p62)) % 0.35/0.57 (step @p71 :rule cong :premises (@p70 @p8) :args ((>= @t29 0))) % 0.35/0.57 (step @p72 :rule trans :premises (@p71 @p61)) % 0.35/0.57 (step @p73 :rule refl :args (tptp.x)) % 0.35/0.57 (step @p74 :rule nary_cong :premises (@p73 @p29) :args (@t30)) % 0.35/0.57 (step @p75 :rule nary_cong :premises (@p65 @p74) :args (@t31)) % 0.35/0.57 (step @p76 :rule nary_cong :premises (@p68 @p75) :args (@t32)) % 0.35/0.57 (step @p77 :rule cong :premises (@p76 @p8) :args ((>= @t32 0))) % 0.35/0.57 (step @p78 :rule trans :premises (@p77 @p72)) % 0.35/0.57 (step @p79 :rule arith-elim-leq :args (0 @t32)) % 0.35/0.57 (step @p80 :rule arith_poly_norm :args ((= @t2 @t30))) % 0.35/0.57 (step @p81 :rule evaluate :args (@t3)) % 0.35/0.57 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t4)) % 0.35/0.57 (step @p83 :rule arith_poly_norm :args ((= (* @t13 tptp.x) @t22))) % 0.35/0.57 (step @p84 :rule arith_poly_norm :args ((= @t5 @t13))) % 0.35/0.57 (step @p85 :rule nary_cong :premises (@p84 @p73) :args (@t6)) % 0.35/0.57 (step @p86 :rule trans :premises (@p85 @p83)) % 0.35/0.57 (step @p87 :rule nary_cong :premises (@p86 @p82) :args (@t7)) % 0.35/0.57 (step @p88 :rule cong :premises (@p8 @p87) :args (@t8)) % 0.35/0.57 (step @p89 :rule trans :premises (@p88 @p79)) % 0.35/0.57 (step @p90 :rule trans :premises (@p89 @p78)) % 0.35/0.57 (step @p91 :rule eq_resolve :premises (@p3 @p90)) % 0.35/0.57 (step @p92 :rule bool-double-not-elim :args (@t33)) % 0.35/0.57 (step @p93 :rule refl :args (@t22)) % 0.35/0.57 (step @p94 :rule cong :premises (@p93 @p33) :args (@t34)) % 0.35/0.57 (step @p95 :rule cong :premises (@p94) :args ((not @t34))) % 0.35/0.57 (step @p96 :rule arith-leq-norm :args (@t22 0)) % 0.35/0.57 (step @p97 :rule trans :premises (@p96 @p95)) % 0.35/0.57 (step @p98 :rule cong :premises (@p97) :args ((not (<= @t22 0)))) % 0.35/0.57 (step @p99 :rule trans :premises (@p98 @p92)) % 0.35/0.57 (step @p100 :rule arith-elim-leq :args (@t22 0)) % 0.35/0.57 (step @p101 :rule symm :premises (@p100)) % 0.35/0.57 (step @p102 :rule cong :premises (@p101) :args ((not (>= 0 @t22)))) % 0.35/0.57 (step @p103 :rule arith-elim-gt :args (@t22 0)) % 0.35/0.57 (step @p104 :rule trans :premises (@p103 @p102)) % 0.35/0.57 (step @p105 :rule trans :premises (@p104 @p99)) % 0.35/0.57 (step @p106 :rule bool-double-not-elim :args (@t35)) % 0.35/0.57 (step @p107 :rule refl :args (tptp.x)) % 0.35/0.57 (step @p108 :rule cong :premises (@p107 @p33) :args (@t36)) % 0.35/0.57 (step @p109 :rule cong :premises (@p108) :args ((not @t36))) % 0.35/0.57 (step @p110 :rule arith-leq-norm :args (tptp.x 0)) % 0.35/0.57 (step @p111 :rule trans :premises (@p110 @p109)) % 0.35/0.57 (step @p112 :rule cong :premises (@p111) :args ((not (<= tptp.x 0)))) % 0.35/0.57 (step @p113 :rule trans :premises (@p112 @p106)) % 0.35/0.57 (step @p114 :rule arith-elim-leq :args (tptp.x 0)) % 0.35/0.57 (step @p115 :rule symm :premises (@p114)) % 0.35/0.57 (step @p116 :rule cong :premises (@p115) :args ((not (>= 0 tptp.x)))) % 0.35/0.57 (step @p117 :rule arith-elim-gt :args (tptp.x 0)) % 0.35/0.57 (step @p118 :rule trans :premises (@p117 @p116)) % 0.35/0.57 (step @p119 :rule trans :premises (@p118 @p113)) % 0.35/0.57 (step @p120 :rule refl :args (@t38)) % 0.35/0.57 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t39)) % 0.35/0.57 (step @p122 :rule cong :premises (@p121 @p105) :args ((=> @t39 (> @t22 0)))) % 0.35/0.57 (step @p123 :rule arith_mult_sign :args (@t39 @t22)) % 0.35/0.57 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.35/0.57 (step @p125 :rule implies_elim :premises (@p124)) % 0.35/0.57 (step @p126 :rule reordering :premises (@p125) :args ((or @t33 @t41))) % 0.35/0.57 (step @p127 :rule chain_m_resolution :premises (@p126 @p91) :args (@t41 (@list true) (@list @t33))) % 0.35/0.57 (step @p128 :rule eq_resolve :premises (@p1 @p119)) % 0.35/0.57 (step @p129 :rule refl :args (@t42)) % 0.35/0.57 (step @p130 :rule bool-double-not-elim :args (@t37)) % 0.35/0.57 (step @p131 :rule refl :args (@t40)) % 0.35/0.57 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129) :args ((or @t40 (not @t38) @t42))) % 0.35/0.57 (step @p133 :rule cnf_and_neg :args (@t40)) % 0.35/0.57 (step @p134 :rule eq_resolve :premises (@p133 @p132)) % 0.35/0.57 (step @p135 :rule reordering :premises (@p134) :args ((or @t42 @t37 @t40))) % 0.35/0.57 (step @p136 :rule chain_m_resolution :premises (@p135 @p128 @p127) :args (@t37 (@list false true) (@list @t35 @t40))) % 0.35/0.57 (step @p137 :rule nary_cong :premises (@p136 @p136) :args (@t13)) % 0.35/0.57 (step @p138 :rule cong :premises (@p137 @p8) :args ((= @t13 0))) % 0.35/0.57 (step @p139 :rule trans :premises (@p138 @p56)) % 0.35/0.57 (step @p140 :rule true_elim :premises (@p139)) % 0.35/0.57 (step @p141 :rule arith_sum_ub :premises (@p140 @p52)) % 0.35/0.57 (step @p142 false :rule eq_resolve :premises (@p141 @p13)) % 0.35/0.57 ) % 0.35/0.57 % SZS output end Proof % 0.35/0.57 % cvc5 exiting %------------------------------------------------------------------------------