%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL003-18 : TPTP v9.2.1. Released v2.1.0. % 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 08:09:43 AM UTC 2026 % Result : Unsatisfiable 0.44s 0.66s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : COL003-18 : TPTP v9.2.1. Released v2.1.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n020.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 : Mon Jun 1 20:16:56 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.66 % SZS status Unsatisfiable % 0.44/0.66 % SZS output start Proof % 0.44/0.66 ( % 0.44/0.66 (declare-sort $$unsorted 0) % 0.44/0.66 (declare-const tptp.fixed_pt $$unsorted) % 0.44/0.66 (declare-const tptp.strong_fixed_point $$unsorted) % 0.44/0.66 (declare-const tptp.w $$unsorted) % 0.44/0.66 (declare-const tptp.b $$unsorted) % 0.44/0.66 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (define @t1 () (@var "Z" $$unsorted)) % 0.44/0.66 (define @t2 () (@var "Y" $$unsorted)) % 0.44/0.66 (define @t3 () (@var "X" $$unsorted)) % 0.44/0.66 (define @t4 () (forall (@list @t3 @t2 @t1) (= (tptp.apply (tptp.apply (tptp.apply tptp.b @t3) @t2) @t1) (tptp.apply @t3 (tptp.apply @t2 @t1))))) % 0.44/0.66 (define @t5 () (tptp.apply (tptp.apply tptp.b tptp.b) tptp.b)) % 0.44/0.66 (define @t6 () (tptp.apply tptp.b tptp.w)) % 0.44/0.66 (define @t7 () (tptp.apply tptp.w tptp.w)) % 0.44/0.66 (define @t8 () (tptp.apply (tptp.apply tptp.b @t7) @t6)) % 0.44/0.66 (define @t9 () (tptp.apply (tptp.apply tptp.b @t8) @t5)) % 0.44/0.66 (define @t10 () (= tptp.strong_fixed_point @t9)) % 0.44/0.66 (define @t11 () (tptp.apply tptp.strong_fixed_point tptp.fixed_pt)) % 0.44/0.66 (define @t12 () (= @t11 (tptp.apply tptp.fixed_pt @t11))) % 0.44/0.66 (define @t13 () (not @t12)) % 0.44/0.66 (define @t14 () (tptp.apply @t5 tptp.fixed_pt)) % 0.44/0.66 (define @t15 () (tptp.apply @t6 @t14)) % 0.44/0.66 (define @t16 () (tptp.apply tptp.b tptp.fixed_pt)) % 0.44/0.66 (define @t17 () (tptp.apply @t15 @t15)) % 0.44/0.66 (define @t18 () (tptp.apply (tptp.apply tptp.b @t6) tptp.b)) % 0.44/0.66 (define @t19 () (tptp.apply (tptp.apply (tptp.apply tptp.b @t18) tptp.b) tptp.fixed_pt)) % 0.44/0.66 (define @t20 () (tptp.apply @t18 @t16)) % 0.44/0.66 (define @t21 () (= @t19 @t20)) % 0.44/0.66 (define @t22 () (@list @t18 tptp.b tptp.fixed_pt)) % 0.44/0.66 (define @t23 () (= @t20 @t19)) % 0.44/0.66 (define @t24 () (@list false)) % 0.44/0.66 (define @t25 () (@list @t4)) % 0.44/0.66 (define @t26 () (tptp.apply tptp.b @t16)) % 0.44/0.66 (define @t27 () (tptp.apply (tptp.apply @t26 @t15) @t15)) % 0.44/0.66 (define @t28 () (tptp.apply @t16 @t17)) % 0.44/0.66 (define @t29 () (= @t27 @t28)) % 0.44/0.66 (define @t30 () (@list @t16 @t15 @t15)) % 0.44/0.66 (define @t31 () (= @t28 @t27)) % 0.44/0.66 (define @t32 () (tptp.apply @t14 @t15)) % 0.44/0.66 (define @t33 () (tptp.apply @t32 @t15)) % 0.44/0.66 (define @t34 () (tptp.apply @t33 @t15)) % 0.44/0.66 (define @t35 () (tptp.apply tptp.w @t32)) % 0.44/0.66 (define @t36 () (tptp.apply @t35 @t15)) % 0.44/0.66 (define @t37 () (= @t36 @t34)) % 0.44/0.66 (define @t38 () (not @t37)) % 0.44/0.66 (define @t39 () (not @t31)) % 0.44/0.66 (define @t40 () (not @t23)) % 0.44/0.66 (define @t41 () (tptp.apply @t17 @t15)) % 0.44/0.66 (define @t42 () (tptp.apply tptp.fixed_pt @t41)) % 0.44/0.66 (define @t43 () (= (tptp.apply @t28 @t15) @t42)) % 0.44/0.66 (define @t44 () (not @t43)) % 0.44/0.66 (define @t45 () (= @t17 @t35)) % 0.44/0.66 (define @t46 () (not @t45)) % 0.44/0.66 (define @t47 () (tptp.apply (tptp.apply tptp.w @t15) @t15)) % 0.44/0.66 (define @t48 () (= @t47 @t41)) % 0.44/0.66 (define @t49 () (not @t48)) % 0.44/0.66 (define @t50 () (tptp.apply @t6 @t26)) % 0.44/0.66 (define @t51 () (= @t20 @t50)) % 0.44/0.66 (define @t52 () (not @t51)) % 0.44/0.66 (define @t53 () (tptp.apply @t7 @t15)) % 0.44/0.66 (define @t54 () (= @t53 @t47)) % 0.44/0.66 (define @t55 () (not @t54)) % 0.44/0.66 (define @t56 () (tptp.apply @t8 @t14)) % 0.44/0.66 (define @t57 () (= @t56 @t53)) % 0.44/0.66 (define @t58 () (not @t57)) % 0.44/0.66 (define @t59 () (= @t14 @t26)) % 0.44/0.66 (define @t60 () (not @t59)) % 0.44/0.66 (define @t61 () (tptp.apply @t9 tptp.fixed_pt)) % 0.44/0.66 (define @t62 () (= @t61 @t56)) % 0.44/0.66 (define @t63 () (not @t62)) % 0.44/0.66 (define @t64 () (not @t10)) % 0.44/0.66 (define @t65 () (and @t10 @t13 @t62 @t59 @t57 @t54 @t51 @t48 @t45 @t43 @t23 @t31)) % 0.44/0.66 (assume @p1 @t4) % 0.44/0.66 (assume @p2 (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.w @t3) @t2) (tptp.apply (tptp.apply @t3 @t2) @t2)))) % 0.44/0.66 (assume @p3 @t10) % 0.44/0.66 (assume @p4 @t13) % 0.44/0.66 (step @p5 :rule instantiate :premises (@p1) :args ((@list @t8 @t5 tptp.fixed_pt))) % 0.44/0.66 (step @p6 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.b tptp.fixed_pt))) % 0.44/0.66 (step @p7 :rule instantiate :premises (@p1) :args ((@list @t7 @t6 @t14))) % 0.44/0.66 (step @p8 :rule instantiate :premises (@p2) :args ((@list tptp.w @t15))) % 0.44/0.66 (step @p9 :rule instantiate :premises (@p1) :args ((@list @t6 tptp.b @t16))) % 0.44/0.66 (step @p10 :rule instantiate :premises (@p2) :args ((@list @t15 @t15))) % 0.44/0.66 (step @p11 :rule instantiate :premises (@p1) :args ((@list tptp.w @t14 @t15))) % 0.44/0.66 (step @p12 :rule instantiate :premises (@p1) :args ((@list tptp.fixed_pt @t17 @t15))) % 0.44/0.66 (step @p13 :rule eq-symm :args (@t19 @t20)) % 0.44/0.66 (step @p14 :rule refl :args (@t4)) % 0.44/0.66 (step @p15 :rule cong :premises (@p14 @p13) :args ((=> @t4 @t21))) % 0.44/0.66 (assume-push @p109 @t4) % 0.44/0.66 (step @p17 :rule instantiate :premises (@p1) :args (@t22)) % 0.44/0.66 (step-pop @p110 :rule scope :premises (@p17)) % 0.44/0.66 (step @p18 :rule process_scope :premises (@p110) :args (@t21)) % 0.44/0.66 (step @p20 :rule eq_resolve :premises (@p18 @p15)) % 0.44/0.66 (step @p21 :rule implies_elim :premises (@p20)) % 0.44/0.66 (step @p22 :rule chain_m_resolution :premises (@p21 @p1) :args (@t23 @t24 @t25)) % 0.44/0.66 (step @p23 :rule eq-symm :args (@t27 @t28)) % 0.44/0.66 (step @p24 :rule cong :premises (@p14 @p23) :args ((=> @t4 @t29))) % 0.44/0.66 (assume-push @p111 @t4) % 0.44/0.66 (step @p26 :rule instantiate :premises (@p1) :args (@t30)) % 0.44/0.66 (step-pop @p112 :rule scope :premises (@p26)) % 0.44/0.66 (step @p27 :rule process_scope :premises (@p112) :args (@t29)) % 0.44/0.66 (step @p29 :rule eq_resolve :premises (@p27 @p24)) % 0.44/0.66 (step @p30 :rule implies_elim :premises (@p29)) % 0.44/0.66 (step @p31 :rule chain_m_resolution :premises (@p30 @p1) :args (@t31 @t24 @t25)) % 0.44/0.66 (step @p32 :rule instantiate :premises (@p2) :args ((@list @t32 @t15))) % 0.44/0.66 (step @p33 :rule refl :args (@t38)) % 0.44/0.66 (step @p34 :rule refl :args (@t39)) % 0.44/0.66 (step @p35 :rule refl :args (@t40)) % 0.44/0.66 (step @p36 :rule refl :args (@t44)) % 0.44/0.66 (step @p37 :rule refl :args (@t46)) % 0.44/0.66 (step @p38 :rule refl :args (@t49)) % 0.44/0.66 (step @p39 :rule refl :args (@t52)) % 0.44/0.66 (step @p40 :rule refl :args (@t55)) % 0.44/0.66 (step @p41 :rule refl :args (@t58)) % 0.44/0.66 (step @p42 :rule refl :args (@t60)) % 0.44/0.66 (step @p43 :rule refl :args (@t63)) % 0.44/0.66 (step @p44 :rule bool-double-not-elim :args (@t12)) % 0.44/0.66 (step @p45 :rule refl :args (@t64)) % 0.44/0.66 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33) :args ((or @t64 (not @t13) @t63 @t60 @t58 @t55 @t52 @t49 @t46 @t44 @t40 @t39 @t38))) % 0.44/0.66 (assume-push @p113 @t10) % 0.44/0.66 (assume-push @p114 @t13) % 0.44/0.66 (assume-push @p115 @t62) % 0.44/0.66 (assume-push @p116 @t59) % 0.44/0.66 (assume-push @p117 @t57) % 0.44/0.66 (assume-push @p118 @t54) % 0.44/0.66 (assume-push @p119 @t51) % 0.44/0.66 (assume-push @p120 @t48) % 0.44/0.66 (assume-push @p121 @t45) % 0.44/0.66 (assume-push @p122 @t43) % 0.44/0.66 (assume-push @p123 @t23) % 0.44/0.66 (assume-push @p124 @t31) % 0.44/0.66 (step @p59 :rule false_intro :premises (@p4)) % 0.44/0.66 (step @p60 :rule refl :args (tptp.fixed_pt)) % 0.44/0.66 (step @p61 :rule symm :premises (@p3)) % 0.44/0.66 (step @p62 :rule cong :premises (@p61 @p60) :args (@t61)) % 0.44/0.66 (step @p63 :rule symm :premises (@p5)) % 0.44/0.66 (step @p64 :rule trans :premises (@p63 @p62)) % 0.44/0.66 (step @p65 :rule cong :premises (@p60 @p64) :args ((tptp.apply tptp.fixed_pt @t56))) % 0.44/0.66 (step @p66 :rule symm :premises (@p7)) % 0.44/0.66 (step @p67 :rule symm :premises (@p8)) % 0.44/0.66 (step @p68 :rule symm :premises (@p10)) % 0.44/0.66 (step @p69 :rule trans :premises (@p68 @p67 @p66)) % 0.44/0.66 (step @p70 :rule cong :premises (@p60 @p69) :args (@t42)) % 0.44/0.66 (step @p71 :rule refl :args (@t15)) % 0.44/0.66 (step @p26 :rule instantiate :premises (@p1) :args (@t30)) % 0.44/0.66 (step @p72 :rule cong :premises (@p6 @p71) :args (@t32)) % 0.44/0.66 (step @p73 :rule cong :premises (@p72 @p71) :args (@t33)) % 0.44/0.66 (step @p74 :rule trans :premises (@p73 @p26)) % 0.44/0.66 (step @p75 :rule cong :premises (@p74 @p71) :args (@t34)) % 0.44/0.66 (step @p76 :rule trans :premises (@p75 @p12 @p70 @p65)) % 0.44/0.66 (step @p77 :rule symm :premises (@p6)) % 0.44/0.66 (step @p78 :rule refl :args (@t6)) % 0.44/0.66 (step @p79 :rule cong :premises (@p78 @p77) :args (@t50)) % 0.44/0.66 (step @p17 :rule instantiate :premises (@p1) :args (@t22)) % 0.44/0.66 (step @p80 :rule trans :premises (@p17 @p9 @p79)) % 0.44/0.66 (step @p81 :rule refl :args (@t17)) % 0.44/0.66 (step @p82 :rule cong :premises (@p81 @p80) :args ((tptp.apply @t17 @t19))) % 0.44/0.66 (step @p83 :rule symm :premises (@p80)) % 0.44/0.66 (step @p84 :rule symm :premises (@p11)) % 0.44/0.66 (step @p85 :rule cong :premises (@p84 @p83) :args (@t36)) % 0.44/0.66 (step @p86 :rule trans :premises (@p85 @p82 @p68 @p67 @p66 @p63 @p62)) % 0.44/0.66 (step @p87 :rule cong :premises (@p86 @p76) :args (@t37)) % 0.44/0.66 (step @p88 :rule trans :premises (@p87 @p59)) % 0.44/0.66 (step @p89 :rule false_elim :premises (@p88)) % 0.44/0.66 (step-pop @p125 :rule scope :premises (@p89)) % 0.44/0.66 (step-pop @p126 :rule scope :premises (@p125)) % 0.44/0.66 (step-pop @p127 :rule scope :premises (@p126)) % 0.44/0.66 (step-pop @p128 :rule scope :premises (@p127)) % 0.44/0.66 (step-pop @p129 :rule scope :premises (@p128)) % 0.44/0.66 (step-pop @p130 :rule scope :premises (@p129)) % 0.44/0.66 (step-pop @p131 :rule scope :premises (@p130)) % 0.44/0.66 (step-pop @p132 :rule scope :premises (@p131)) % 0.44/0.66 (step-pop @p133 :rule scope :premises (@p132)) % 0.44/0.66 (step-pop @p134 :rule scope :premises (@p133)) % 0.44/0.66 (step-pop @p135 :rule scope :premises (@p134)) % 0.44/0.66 (step-pop @p136 :rule scope :premises (@p135)) % 0.44/0.66 (step @p90 :rule process_scope :premises (@p136) :args (@t38)) % 0.44/0.66 (step @p103 :rule implies_elim :premises (@p90)) % 0.44/0.66 (step @p104 :rule cnf_and_neg :args (@t65)) % 0.44/0.66 (step @p105 :rule resolution :premises (@p104 @p103) :args (true @t65)) % 0.44/0.66 (step @p106 :rule eq_resolve :premises (@p105 @p46)) % 0.44/0.66 (step @p107 :rule reordering :premises (@p106) :args ((or @t12 @t64 @t63 @t60 @t58 @t55 @t52 @t49 @t46 @t44 @t40 @t39 @t38))) % 0.44/0.66 (step @p108 false :rule chain_m_resolution :premises (@p107 @p32 @p31 @p22 @p12 @p11 @p10 @p9 @p8 @p7 @p6 @p5 @p4 @p3) :args (false (@list false false false false false false false false false false false true false) (@list @t37 @t31 @t23 @t43 @t45 @t48 @t51 @t54 @t57 @t59 @t62 @t12 @t10))) % 0.44/0.66 ) % 0.44/0.66 % SZS output end Proof % 0.44/0.66 % cvc5 exiting %------------------------------------------------------------------------------