%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL003-20 : TPTP v9.2.1. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL003-20 : TPTP v9.2.1. Released v2.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n001.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 20:17:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.60 % SZS status Unsatisfiable % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.fixed_pt $$unsorted) % 0.39/0.60 (declare-const tptp.strong_fixed_point $$unsorted) % 0.39/0.60 (declare-const tptp.w $$unsorted) % 0.39/0.60 (declare-const tptp.b $$unsorted) % 0.39/0.60 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (define @t1 () (@var "Z" $$unsorted)) % 0.39/0.60 (define @t2 () (@var "Y" $$unsorted)) % 0.39/0.60 (define @t3 () (@var "X" $$unsorted)) % 0.39/0.60 (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))))) % 0.39/0.60 (define @t5 () (tptp.apply (tptp.apply tptp.b tptp.b) tptp.b)) % 0.39/0.60 (define @t6 () (tptp.apply tptp.b tptp.w)) % 0.39/0.60 (define @t7 () (tptp.apply tptp.b @t6)) % 0.39/0.60 (define @t8 () (tptp.apply @t7 @t5)) % 0.39/0.60 (define @t9 () (tptp.apply tptp.w tptp.w)) % 0.39/0.60 (define @t10 () (tptp.apply (tptp.apply tptp.b @t9) @t8)) % 0.39/0.60 (define @t11 () (= tptp.strong_fixed_point @t10)) % 0.39/0.60 (define @t12 () (tptp.apply tptp.strong_fixed_point tptp.fixed_pt)) % 0.39/0.60 (define @t13 () (= @t12 (tptp.apply tptp.fixed_pt @t12))) % 0.39/0.60 (define @t14 () (not @t13)) % 0.39/0.60 (define @t15 () (tptp.apply @t8 tptp.fixed_pt)) % 0.39/0.60 (define @t16 () (tptp.apply @t5 tptp.fixed_pt)) % 0.39/0.60 (define @t17 () (tptp.apply @t15 @t15)) % 0.39/0.60 (define @t18 () (tptp.apply tptp.b tptp.fixed_pt)) % 0.39/0.60 (define @t19 () (tptp.apply tptp.b @t18)) % 0.39/0.60 (define @t20 () (tptp.apply (tptp.apply @t19 @t15) @t15)) % 0.39/0.60 (define @t21 () (tptp.apply @t18 @t17)) % 0.39/0.60 (define @t22 () (= @t20 @t21)) % 0.39/0.60 (define @t23 () (@list @t18 @t15 @t15)) % 0.39/0.60 (define @t24 () (= @t21 @t20)) % 0.39/0.60 (define @t25 () (tptp.apply @t16 @t15)) % 0.39/0.60 (define @t26 () (tptp.apply @t25 @t15)) % 0.39/0.60 (define @t27 () (tptp.apply @t26 @t15)) % 0.39/0.60 (define @t28 () (tptp.apply tptp.w @t25)) % 0.39/0.60 (define @t29 () (tptp.apply @t28 @t15)) % 0.39/0.60 (define @t30 () (= @t29 @t27)) % 0.39/0.60 (define @t31 () (not @t30)) % 0.39/0.60 (define @t32 () (not @t24)) % 0.39/0.60 (define @t33 () (tptp.apply @t6 @t19)) % 0.39/0.60 (define @t34 () (tptp.apply (tptp.apply @t7 tptp.b) @t18)) % 0.39/0.60 (define @t35 () (= @t34 @t33)) % 0.39/0.60 (define @t36 () (not @t35)) % 0.39/0.60 (define @t37 () (tptp.apply @t17 @t15)) % 0.39/0.60 (define @t38 () (tptp.apply tptp.fixed_pt @t37)) % 0.39/0.60 (define @t39 () (= (tptp.apply @t21 @t15) @t38)) % 0.39/0.60 (define @t40 () (not @t39)) % 0.39/0.60 (define @t41 () (tptp.apply @t6 @t16)) % 0.39/0.60 (define @t42 () (tptp.apply @t41 @t15)) % 0.39/0.60 (define @t43 () (= @t42 @t28)) % 0.39/0.60 (define @t44 () (not @t43)) % 0.39/0.60 (define @t45 () (tptp.apply (tptp.apply tptp.w @t15) @t15)) % 0.39/0.60 (define @t46 () (= @t45 @t37)) % 0.39/0.60 (define @t47 () (not @t46)) % 0.39/0.60 (define @t48 () (= @t16 @t19)) % 0.39/0.60 (define @t49 () (not @t48)) % 0.39/0.60 (define @t50 () (tptp.apply @t9 @t15)) % 0.39/0.60 (define @t51 () (= @t50 @t45)) % 0.39/0.60 (define @t52 () (not @t51)) % 0.39/0.60 (define @t53 () (= @t15 @t41)) % 0.39/0.60 (define @t54 () (not @t53)) % 0.39/0.60 (define @t55 () (tptp.apply @t10 tptp.fixed_pt)) % 0.39/0.60 (define @t56 () (= @t55 @t50)) % 0.39/0.60 (define @t57 () (not @t56)) % 0.39/0.60 (define @t58 () (not @t11)) % 0.39/0.60 (define @t59 () (and @t11 @t14 @t56 @t53 @t51 @t48 @t46 @t43 @t39 @t35 @t24)) % 0.39/0.60 (assume @p1 @t4) % 0.39/0.60 (assume @p2 (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.w @t3) @t2) (tptp.apply (tptp.apply @t3 @t2) @t2)))) % 0.39/0.60 (assume @p3 @t11) % 0.39/0.60 (assume @p4 @t14) % 0.39/0.60 (step @p5 :rule instantiate :premises (@p1) :args ((@list @t9 @t8 tptp.fixed_pt))) % 0.39/0.60 (step @p6 :rule instantiate :premises (@p1) :args ((@list @t6 @t5 tptp.fixed_pt))) % 0.39/0.60 (step @p7 :rule instantiate :premises (@p2) :args ((@list tptp.w @t15))) % 0.39/0.60 (step @p8 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.b tptp.fixed_pt))) % 0.39/0.60 (step @p9 :rule instantiate :premises (@p2) :args ((@list @t15 @t15))) % 0.39/0.60 (step @p10 :rule instantiate :premises (@p1) :args ((@list tptp.w @t16 @t15))) % 0.39/0.60 (step @p11 :rule instantiate :premises (@p1) :args ((@list tptp.fixed_pt @t17 @t15))) % 0.39/0.60 (step @p12 :rule instantiate :premises (@p1) :args ((@list @t6 tptp.b @t18))) % 0.39/0.60 (step @p13 :rule eq-symm :args (@t20 @t21)) % 0.39/0.60 (step @p14 :rule refl :args (@t4)) % 0.39/0.60 (step @p15 :rule cong :premises (@p14 @p13) :args ((=> @t4 @t22))) % 0.39/0.60 (assume-push @p99 @t4) % 0.39/0.60 (step @p17 :rule instantiate :premises (@p1) :args (@t23)) % 0.39/0.60 (step-pop @p100 :rule scope :premises (@p17)) % 0.39/0.60 (step @p18 :rule process_scope :premises (@p100) :args (@t22)) % 0.39/0.60 (step @p20 :rule eq_resolve :premises (@p18 @p15)) % 0.39/0.60 (step @p21 :rule implies_elim :premises (@p20)) % 0.39/0.60 (step @p22 :rule chain_m_resolution :premises (@p21 @p1) :args (@t24 (@list false) (@list @t4))) % 0.39/0.60 (step @p23 :rule instantiate :premises (@p2) :args ((@list @t25 @t15))) % 0.39/0.60 (step @p24 :rule refl :args (@t31)) % 0.39/0.60 (step @p25 :rule refl :args (@t32)) % 0.39/0.60 (step @p26 :rule refl :args (@t36)) % 0.39/0.60 (step @p27 :rule refl :args (@t40)) % 0.39/0.60 (step @p28 :rule refl :args (@t44)) % 0.39/0.60 (step @p29 :rule refl :args (@t47)) % 0.39/0.60 (step @p30 :rule refl :args (@t49)) % 0.39/0.60 (step @p31 :rule refl :args (@t52)) % 0.39/0.60 (step @p32 :rule refl :args (@t54)) % 0.39/0.60 (step @p33 :rule refl :args (@t57)) % 0.39/0.60 (step @p34 :rule bool-double-not-elim :args (@t13)) % 0.39/0.60 (step @p35 :rule refl :args (@t58)) % 0.39/0.60 (step @p36 :rule nary_cong :premises (@p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24) :args ((or @t58 (not @t14) @t57 @t54 @t52 @t49 @t47 @t44 @t40 @t36 @t32 @t31))) % 0.39/0.60 (assume-push @p101 @t11) % 0.39/0.60 (assume-push @p102 @t14) % 0.39/0.60 (assume-push @p103 @t56) % 0.39/0.60 (assume-push @p104 @t53) % 0.39/0.60 (assume-push @p105 @t51) % 0.39/0.60 (assume-push @p106 @t48) % 0.39/0.60 (assume-push @p107 @t46) % 0.39/0.60 (assume-push @p108 @t43) % 0.39/0.60 (assume-push @p109 @t39) % 0.39/0.60 (assume-push @p110 @t35) % 0.39/0.60 (assume-push @p111 @t24) % 0.39/0.60 (step @p48 :rule false_intro :premises (@p4)) % 0.39/0.60 (step @p49 :rule refl :args (tptp.fixed_pt)) % 0.39/0.60 (step @p50 :rule symm :premises (@p3)) % 0.39/0.60 (step @p51 :rule cong :premises (@p50 @p49) :args (@t55)) % 0.39/0.60 (step @p52 :rule symm :premises (@p5)) % 0.39/0.60 (step @p53 :rule trans :premises (@p52 @p51)) % 0.39/0.60 (step @p54 :rule cong :premises (@p49 @p53) :args ((tptp.apply tptp.fixed_pt @t50))) % 0.39/0.60 (step @p55 :rule symm :premises (@p7)) % 0.39/0.60 (step @p56 :rule symm :premises (@p9)) % 0.39/0.60 (step @p57 :rule trans :premises (@p56 @p55)) % 0.39/0.60 (step @p58 :rule cong :premises (@p49 @p57) :args (@t38)) % 0.39/0.60 (step @p59 :rule refl :args (@t15)) % 0.39/0.60 (step @p17 :rule instantiate :premises (@p1) :args (@t23)) % 0.39/0.60 (step @p60 :rule cong :premises (@p8 @p59) :args (@t25)) % 0.39/0.60 (step @p61 :rule cong :premises (@p60 @p59) :args (@t26)) % 0.39/0.60 (step @p62 :rule trans :premises (@p61 @p17)) % 0.39/0.60 (step @p63 :rule cong :premises (@p62 @p59) :args (@t27)) % 0.39/0.60 (step @p64 :rule trans :premises (@p63 @p11 @p58 @p54)) % 0.39/0.60 (step @p65 :rule symm :premises (@p6)) % 0.39/0.60 (step @p66 :rule symm :premises (@p8)) % 0.39/0.60 (step @p67 :rule refl :args (@t6)) % 0.39/0.60 (step @p68 :rule cong :premises (@p67 @p66) :args (@t33)) % 0.39/0.60 (step @p69 :rule trans :premises (@p12 @p68 @p65)) % 0.39/0.60 (step @p70 :rule refl :args (@t17)) % 0.39/0.60 (step @p71 :rule cong :premises (@p70 @p69) :args ((tptp.apply @t17 @t34))) % 0.39/0.60 (step @p72 :rule symm :premises (@p69)) % 0.39/0.60 (step @p73 :rule cong :premises (@p65 @p59) :args (@t42)) % 0.39/0.60 (step @p74 :rule symm :premises (@p10)) % 0.39/0.60 (step @p75 :rule trans :premises (@p74 @p73)) % 0.39/0.60 (step @p76 :rule cong :premises (@p75 @p72) :args (@t29)) % 0.39/0.60 (step @p77 :rule trans :premises (@p76 @p71 @p56 @p55 @p52 @p51)) % 0.39/0.60 (step @p78 :rule cong :premises (@p77 @p64) :args (@t30)) % 0.39/0.60 (step @p79 :rule trans :premises (@p78 @p48)) % 0.39/0.60 (step @p80 :rule false_elim :premises (@p79)) % 0.39/0.60 (step-pop @p112 :rule scope :premises (@p80)) % 0.39/0.60 (step-pop @p113 :rule scope :premises (@p112)) % 0.39/0.60 (step-pop @p114 :rule scope :premises (@p113)) % 0.39/0.60 (step-pop @p115 :rule scope :premises (@p114)) % 0.39/0.60 (step-pop @p116 :rule scope :premises (@p115)) % 0.39/0.60 (step-pop @p117 :rule scope :premises (@p116)) % 0.39/0.60 (step-pop @p118 :rule scope :premises (@p117)) % 0.39/0.60 (step-pop @p119 :rule scope :premises (@p118)) % 0.39/0.60 (step-pop @p120 :rule scope :premises (@p119)) % 0.39/0.60 (step-pop @p121 :rule scope :premises (@p120)) % 0.39/0.60 (step-pop @p122 :rule scope :premises (@p121)) % 0.39/0.60 (step @p81 :rule process_scope :premises (@p122) :args (@t31)) % 0.39/0.60 (step @p93 :rule implies_elim :premises (@p81)) % 0.39/0.60 (step @p94 :rule cnf_and_neg :args (@t59)) % 0.39/0.60 (step @p95 :rule resolution :premises (@p94 @p93) :args (true @t59)) % 0.39/0.60 (step @p96 :rule eq_resolve :premises (@p95 @p36)) % 0.39/0.60 (step @p97 :rule reordering :premises (@p96) :args ((or @t13 @t58 @t57 @t54 @t52 @t49 @t47 @t44 @t40 @t36 @t32 @t31))) % 0.39/0.60 (step @p98 false :rule chain_m_resolution :premises (@p97 @p23 @p22 @p12 @p11 @p10 @p9 @p8 @p7 @p6 @p5 @p4 @p3) :args (false (@list false false false false false false false false false false true false) (@list @t30 @t24 @t35 @t39 @t43 @t46 @t48 @t51 @t53 @t56 @t13 @t11))) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------