%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI632_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 : n021.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 45.30s 45.57s % Output : Proof 45.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI632_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 02:31:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_ARI % 45.30/45.57 --- Run --finite-model-find --decision=internal at 45... % 45.30/45.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.30/45.57 % SZS status Theorem % 45.30/45.57 % SZS output start Proof % 45.30/45.57 ( % 45.30/45.57 (declare-const tptp.x Real) % 45.30/45.57 (declare-const tptp.y Real) % 45.30/45.57 (declare-const tptp.u Real) % 45.30/45.57 (declare-const tptp.v Real) % 45.30/45.57 (declare-const tptp.f (-> Real Real)) % 45.30/45.57 (define @t1 () (@var "Y" Real)) % 45.30/45.57 (define @t2 () (tptp.f @t1)) % 45.30/45.57 (define @t3 () (@var "X" Real)) % 45.30/45.57 (define @t4 () (tptp.f @t3)) % 45.30/45.57 (define @t5 () (>= @t4 @t2)) % 45.30/45.57 (define @t6 () (>= @t3 @t1)) % 45.30/45.57 (define @t7 () (=> @t6 @t5)) % 45.30/45.57 (define @t8 () (@list @t3 @t1)) % 45.30/45.57 (define @t9 () (forall @t8 @t7)) % 45.30/45.57 (define @t10 () (tptp.f tptp.y)) % 45.30/45.57 (define @t11 () (+ tptp.v @t10)) % 45.30/45.57 (define @t12 () (tptp.f tptp.x)) % 45.30/45.57 (define @t13 () (+ tptp.u @t12)) % 45.30/45.57 (define @t14 () (not (< @t13 @t11))) % 45.30/45.57 (define @t15 () (* -1/1 tptp.v)) % 45.30/45.57 (define @t16 () (+ tptp.u @t15)) % 45.30/45.57 (define @t17 () (>= @t16 0/1)) % 45.30/45.57 (define @t18 () (>= tptp.u tptp.v)) % 45.30/45.57 (define @t19 () (* -1/1 @t10)) % 45.30/45.57 (define @t20 () (+ tptp.u @t15 @t12 @t19)) % 45.30/45.57 (define @t21 () (>= @t20 0/1)) % 45.30/45.57 (define @t22 () (>= @t13 @t11)) % 45.30/45.57 (define @t23 () (+ @t3 (* -1/1 @t1))) % 45.30/45.57 (define @t24 () (>= @t23 0/1)) % 45.30/45.57 (define @t25 () (+ @t4 (* -1/1 @t2))) % 45.30/45.57 (define @t26 () (>= @t25 0/1)) % 45.30/45.57 (define @t27 () (* -1/1 @t12)) % 45.30/45.57 (define @t28 () (+ @t27 @t10)) % 45.30/45.57 (define @t29 () (+ @t10 @t27)) % 45.30/45.57 (define @t30 () (>= @t29 0/1)) % 45.30/45.57 (define @t31 () (* -1/1 tptp.x)) % 45.30/45.57 (define @t32 () (+ @t31 tptp.y)) % 45.30/45.57 (define @t33 () (+ tptp.y @t31)) % 45.30/45.57 (define @t34 () (>= @t33 0/1)) % 45.30/45.57 (define @t35 () (not @t34)) % 45.30/45.57 (define @t36 () (or @t35 @t30)) % 45.30/45.57 (define @t37 () (forall @t8 (or (not @t24) @t26))) % 45.30/45.57 (define @t38 () (>= @t28 0/1)) % 45.30/45.57 (define @t39 () (>= @t32 0/1)) % 45.30/45.57 (define @t40 () (not @t39)) % 45.30/45.57 (define @t41 () (or @t40 @t38)) % 45.30/45.57 (define @t42 () (@list false false)) % 45.30/45.57 (define @t43 () (@list @t39 @t41)) % 45.30/45.57 (define @t44 () (not @t38)) % 45.30/45.57 (define @t45 () (not @t21)) % 45.30/45.57 (define @t46 () (not @t17)) % 45.30/45.57 (define @t47 () (+ @t12 @t19)) % 45.30/45.57 (define @t48 () (>= 0/1 @t47)) % 45.30/45.57 (define @t49 () (<= @t47 0/1)) % 45.30/45.57 (define @t50 () (* -1/1 0/1)) % 45.30/45.57 (define @t51 () (+ 0/1 0/1 @t50)) % 45.30/45.57 (define @t52 () (* 0/1 tptp.u)) % 45.30/45.57 (define @t53 () (* 0/1 @t12)) % 45.30/45.57 (define @t54 () (* 0/1 tptp.v)) % 45.30/45.57 (define @t55 () (* 0/1 @t10)) % 45.30/45.57 (define @t56 () (+ @t55 @t54 @t53 @t52)) % 45.30/45.57 (define @t57 () (+ @t47 @t16 (* -1/1 @t20))) % 45.30/45.57 (define @t58 () (>= @t57 @t51)) % 45.30/45.57 (define @t59 () (and @t21 @t46 @t38)) % 45.30/45.57 (assume @p1 @t9) % 45.30/45.57 (assume @p2 (< tptp.u tptp.v)) % 45.30/45.57 (assume @p3 (<= tptp.x tptp.y)) % 45.30/45.57 (assume @p4 @t14) % 45.30/45.57 (assume @p5 true) % 45.30/45.57 (step @p6 :rule arith_poly_norm :args ((= (* 1/1 (- tptp.u tptp.v)) (* 1/1 (- @t16 0/1))))) % 45.30/45.57 (step @p7 :rule arith_poly_norm_rel :premises (@p6) :args ((= @t18 @t17))) % 45.30/45.57 (step @p8 :rule cong :premises (@p7) :args ((not @t18))) % 45.30/45.57 (step @p9 :rule arith-elim-lt :args (tptp.u tptp.v)) % 45.30/45.57 (step @p10 :rule trans :premises (@p9 @p8)) % 45.30/45.57 (step @p11 :rule eq_resolve :premises (@p2 @p10)) % 45.30/45.57 (step @p12 :rule bool-double-not-elim :args (@t21)) % 45.30/45.57 (step @p13 :rule arith_poly_norm :args ((= (* 1/1 (- @t13 @t11)) (* 1/1 (- @t20 0/1))))) % 45.30/45.57 (step @p14 :rule arith_poly_norm_rel :premises (@p13) :args ((= @t22 @t21))) % 45.30/45.57 (step @p15 :rule cong :premises (@p14) :args ((not @t22))) % 45.30/45.57 (step @p16 :rule arith-elim-lt :args (@t13 @t11)) % 45.30/45.57 (step @p17 :rule trans :premises (@p16 @p15)) % 45.30/45.57 (step @p18 :rule cong :premises (@p17) :args (@t14)) % 45.30/45.57 (step @p19 :rule trans :premises (@p18 @p12)) % 45.30/45.57 (step @p20 :rule eq_resolve :premises (@p4 @p19)) % 45.30/45.57 (step @p21 :rule bool-impl-elim :args (@t24 @t26)) % 45.30/45.57 (step @p22 :rule cong :premises (@p21) :args ((forall @t8 (=> @t24 @t26)))) % 45.30/45.57 (step @p23 :rule arith_poly_norm :args ((= (* 1/1 (- @t4 @t2)) (* 1/1 (- @t25 0/1))))) % 45.30/45.57 (step @p24 :rule arith_poly_norm_rel :premises (@p23) :args ((= @t5 @t26))) % 45.30/45.57 (step @p25 :rule arith_poly_norm :args ((= (* 1/1 (- @t3 @t1)) (* 1/1 (- @t23 0/1))))) % 45.30/45.57 (step @p26 :rule arith_poly_norm_rel :premises (@p25) :args ((= @t6 @t24))) % 45.30/45.57 (step @p27 :rule cong :premises (@p26 @p24) :args (@t7)) % 45.30/45.57 (step @p28 :rule cong :premises (@p27) :args (@t9)) % 45.30/45.57 (step @p29 :rule trans :premises (@p28 @p22)) % 45.30/45.57 (step @p30 :rule eq_resolve :premises (@p1 @p29)) % 45.30/45.57 (step @p31 :rule refl :args (0/1)) % 45.30/45.57 (step @p32 :rule arith_poly_norm :args ((= @t29 @t28))) % 45.30/45.57 (step @p33 :rule cong :premises (@p32 @p31) :args (@t30)) % 45.30/45.57 (step @p34 :rule refl :args (0/1)) % 45.30/45.57 (step @p35 :rule arith_poly_norm :args ((= @t33 @t32))) % 45.30/45.57 (step @p36 :rule cong :premises (@p35 @p34) :args (@t34)) % 45.30/45.57 (step @p37 :rule cong :premises (@p36) :args (@t35)) % 45.30/45.57 (step @p38 :rule nary_cong :premises (@p37 @p33) :args (@t36)) % 45.30/45.57 (step @p39 :rule refl :args (@t37)) % 45.30/45.57 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t37 @t36))) % 45.30/45.57 (assume-push @p134 @t37) % 45.30/45.57 (step @p42 :rule instantiate :premises (@p30) :args ((@list tptp.y tptp.x))) % 45.30/45.57 (step-pop @p135 :rule scope :premises (@p42)) % 45.30/45.57 (step @p43 :rule process_scope :premises (@p135) :args (@t36)) % 45.30/45.57 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 45.30/45.57 (step @p46 :rule implies_elim :premises (@p45)) % 45.30/45.57 (step @p47 :rule chain_m_resolution :premises (@p46 @p30) :args (@t41 (@list false) (@list @t37))) % 45.30/45.57 (step @p48 :rule arith_poly_norm :args ((= (* -1/1 (- tptp.y tptp.x)) (* -1/1 (- @t32 0/1))))) % 45.30/45.57 (step @p49 :rule arith_poly_norm_rel :premises (@p48) :args ((= (>= tptp.y tptp.x) @t39))) % 45.30/45.57 (step @p50 :rule arith-elim-leq :args (tptp.x tptp.y)) % 45.30/45.57 (step @p51 :rule trans :premises (@p50 @p49)) % 45.30/45.57 (step @p52 :rule eq_resolve :premises (@p3 @p51)) % 45.30/45.57 (step @p53 :rule cnf_or_pos :args (@t41)) % 45.30/45.57 (step @p54 :rule reordering :premises (@p53) :args ((or @t40 @t38 (not @t41)))) % 45.30/45.57 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p47) :args (@t38 @t42 @t43)) % 45.30/45.57 (step @p56 :rule refl :args (@t44)) % 45.30/45.57 (step @p57 :rule refl :args (@t45)) % 45.30/45.57 (step @p58 :rule bool-double-not-elim :args (@t17)) % 45.30/45.57 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56) :args ((or (not @t46) @t45 @t44))) % 45.30/45.57 (assume-push @p136 @t21) % 45.30/45.57 (assume-push @p137 @t46) % 45.30/45.57 (assume-push @p138 @t38) % 45.30/45.57 (step @p63 :rule arith-elim-leq :args (@t47 0/1)) % 45.30/45.57 (step @p64 :rule symm :premises (@p63)) % 45.30/45.57 (step @p65 :rule cong :premises (@p64) :args ((not @t48))) % 45.30/45.57 (step @p66 :rule arith-elim-gt :args (@t47 0/1)) % 45.30/45.57 (step @p67 :rule trans :premises (@p66 @p65)) % 45.30/45.57 (step @p68 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t47)) (* -1/1 (- @t28 0/1))))) % 45.30/45.57 (step @p69 :rule arith_poly_norm_rel :premises (@p68) :args ((= @t48 @t38))) % 45.30/45.57 (step @p70 :rule trans :premises (@p63 @p69)) % 45.30/45.57 (step @p71 :rule cong :premises (@p70) :args ((not @t49))) % 45.30/45.57 (step @p72 :rule trans :premises (@p67 @p71)) % 45.30/45.57 (step @p73 :rule symm :premises (@p72)) % 45.30/45.57 (step @p74 :rule trans :premises (@p71 @p73)) % 45.30/45.57 (assume-push @p139 @t49) % 45.30/45.57 (step @p76 :rule evaluate :args ((not true))) % 45.30/45.57 (step @p77 :rule evaluate :args ((>= 0/1 0/1))) % 45.30/45.57 (step @p78 :rule evaluate :args ((+ 0/1 0/1 0/1))) % 45.30/45.57 (step @p79 :rule evaluate :args (@t50)) % 45.30/45.57 (step @p80 :rule refl :args (0/1)) % 45.30/45.57 (step @p81 :rule nary_cong :premises (@p80 @p80 @p79) :args (@t51)) % 45.30/45.57 (step @p82 :rule trans :premises (@p81 @p78)) % 45.30/45.57 (step @p83 :rule evaluate :args ((+ 0/1 0/1 0/1 0/1))) % 45.30/45.57 (step @p84 :rule arith_poly_norm :args ((= @t52 0/1))) % 45.30/45.57 (step @p85 :rule arith_poly_norm :args ((= @t53 0/1))) % 45.30/45.57 (step @p86 :rule arith_poly_norm :args ((= @t54 0/1))) % 45.30/45.57 (step @p87 :rule arith_poly_norm :args ((= @t55 0/1))) % 45.30/45.57 (step @p88 :rule nary_cong :premises (@p87 @p86 @p85 @p84) :args (@t56)) % 45.30/45.57 (step @p89 :rule trans :premises (@p88 @p83)) % 45.30/45.57 (step @p90 :rule arith_poly_norm :args ((= @t57 @t56))) % 45.30/45.57 (step @p91 :rule trans :premises (@p90 @p89)) % 45.30/45.57 (step @p92 :rule cong :premises (@p91 @p82) :args (@t58)) % 45.30/45.57 (step @p93 :rule trans :premises (@p92 @p77)) % 45.30/45.57 (step @p94 :rule cong :premises (@p93) :args ((not @t58))) % 45.30/45.57 (step @p95 :rule trans :premises (@p94 @p76)) % 45.30/45.57 (step @p96 :rule arith-elim-lt :args (@t57 @t51)) % 45.30/45.57 (step @p97 :rule trans :premises (@p96 @p95)) % 45.30/45.57 (step @p98 :rule arith_mult_neg :args (-1/1 @t21)) % 45.30/45.57 (step @p99 :rule evaluate :args ((< -1/1 0/1))) % 45.30/45.57 (step @p100 :rule true_elim :premises (@p99)) % 45.30/45.57 (step @p101 :rule and_intro :premises (@p100 @p20)) % 45.30/45.57 (step @p102 :rule modus_ponens :premises (@p101 @p98)) % 45.30/45.57 (step @p103 :rule arith-elim-lt :args (@t16 0/1)) % 45.30/45.57 (step @p104 :rule symm :premises (@p103)) % 45.30/45.57 (step @p105 :rule eq_resolve :premises (@p11 @p104)) % 45.30/45.57 (step @p106 :rule symm :premises (@p70)) % 45.30/45.57 (step @p107 :rule chain_m_resolution :premises (@p54 @p52 @p47) :args (@t38 @t42 @t43)) % 45.30/45.57 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 45.30/45.57 (step @p109 :rule arith_sum_ub :premises (@p108 @p105 @p102)) % 45.30/45.57 (step @p110 false :rule eq_resolve :premises (@p109 @p97)) % 45.30/45.57 (step-pop @p140 :rule scope :premises (@p110)) % 45.30/45.57 (step @p111 :rule process_scope :premises (@p140) :args (false)) % 45.30/45.57 (step @p113 :rule eq_resolve :premises (@p111 @p74)) % 45.30/45.57 (step @p114 :rule eq_resolve :premises (@p113 @p67)) % 45.30/45.57 (step @p106 :rule symm :premises (@p70)) % 45.30/45.57 (step @p115 :rule eq_resolve :premises (@p55 @p106)) % 45.30/45.57 (step @p116 false :rule contra :premises (@p115 @p114)) % 45.30/45.57 (step-pop @p141 :rule scope :premises (@p116)) % 45.30/45.57 (step-pop @p142 :rule scope :premises (@p141)) % 45.30/45.57 (step-pop @p143 :rule scope :premises (@p142)) % 45.30/45.57 (step @p117 :rule process_scope :premises (@p143) :args (false)) % 45.30/45.57 (assume-push @p144 @t46) % 45.30/45.57 (assume-push @p145 @t21) % 45.30/45.57 (assume-push @p146 @t38) % 45.30/45.57 (step @p124 :rule and_intro :premises (@p20 @p11 @p55)) % 45.30/45.57 (step-pop @p147 :rule scope :premises (@p124)) % 45.30/45.57 (step-pop @p148 :rule scope :premises (@p147)) % 45.30/45.57 (step-pop @p149 :rule scope :premises (@p148)) % 45.30/45.57 (step @p125 :rule process_scope :premises (@p149) :args (@t59)) % 45.30/45.57 (step @p129 :rule implies_elim :premises (@p125)) % 45.30/45.57 (step @p130 :rule resolution :premises (@p129 @p117) :args (true @t59)) % 45.30/45.57 (step @p131 :rule not_and :premises (@p130)) % 45.30/45.57 (step @p132 :rule eq_resolve :premises (@p131 @p59)) % 45.30/45.57 (step @p133 false :rule chain_m_resolution :premises (@p132 @p55 @p20 @p11) :args (false (@list false false true) (@list @t38 @t21 @t17))) % 45.30/45.57 ) % 45.30/45.57 % SZS output end Proof % 45.30/45.57 % cvc5 exiting %------------------------------------------------------------------------------