TSTP Solution File: COL109-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COL109-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 Aug 30 18:23:30 EDT 2023

% Result   : Unsatisfiable 0.16s 0.44s
% Output   : Proof 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : COL109-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11  % Command    : do_cvc5 %s %d
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Sun Aug 27 04:06:29 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.16/0.41  %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.41  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.1zctahoCOp/cvc5---1.0.5_5269.p...
% 0.16/0.41  ------- get file name : TPTP file name is COL109-2
% 0.16/0.42  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5269.smt2...
% 0.16/0.42  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.16/0.44  % SZS status Unsatisfiable for COL109-2
% 0.16/0.44  % SZS output start Proof for COL109-2
% 0.16/0.44  (
% 0.16/0.44  (let ((_let_1 (forall ((V_z $$unsorted) (V_w $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb))) (or (not (tptp.c_in (tptp.c_Pair V_z V_w tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_1)) (not (tptp.c_in (tptp.c_Pair V_x V_y tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_1)) (tptp.c_in (tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D V_x V_z) (tptp.c_Comb_Ocomb_Oop_A_D_D V_y V_w) tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_1)))))) (let ((_let_2 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (tptp.c_in (tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D (tptp.c_Comb_Ocomb_Oop_A_D_D (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OS V_x) V_y) V_z) (tptp.c_Comb_Ocomb_Oop_A_D_D (tptp.c_Comb_Ocomb_Oop_A_D_D V_x V_z) (tptp.c_Comb_Ocomb_Oop_A_D_D V_y V_z)) tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract (tptp.tc_prod tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb))))) (let ((_let_3 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb))) (or (not (tptp.c_in (tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.v_xb tptp.v_z) (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.v_yb tptp.v_z)) V_U tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_1)) (not (tptp.c_in (tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D (tptp.c_Comb_Ocomb_Oop_A_D_D (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OS tptp.v_x_H) tptp.v_y_Ha) tptp.v_w) V_U tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_1))))))) (let ((_let_4 (tptp.tc_prod tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb))) (let ((_let_5 (tptp.c_in (tptp.c_Pair tptp.v_yb tptp.v_y_Ha tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_4))) (let ((_let_6 (tptp.c_in (tptp.c_Pair tptp.v_xb tptp.v_x_H tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_4))) (let ((_let_7 (tptp.c_in (tptp.c_Pair tptp.v_z tptp.v_w tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_4))) (let ((_let_8 (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.v_y_Ha tptp.v_w))) (let ((_let_9 (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.v_x_H tptp.v_w))) (let ((_let_10 (tptp.c_Comb_Ocomb_Oop_A_D_D _let_9 _let_8))) (let ((_let_11 (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.v_yb tptp.v_z))) (let ((_let_12 (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.v_xb tptp.v_z))) (let ((_let_13 (tptp.c_in (tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D _let_12 _let_11) _let_10 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_4))) (let ((_let_14 (tptp.c_in (tptp.c_Pair _let_12 _let_9 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_4))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.c_in (tptp.c_Pair _let_11 _let_8 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_4))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_13))) (let ((_let_19 (tptp.c_Comb_Ocomb_Oop_A_D_D (tptp.c_Comb_Ocomb_Oop_A_D_D (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OS tptp.v_x_H) tptp.v_y_Ha) tptp.v_w))) (let ((_let_20 (tptp.c_in (tptp.c_Pair _let_19 _let_10 tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb) tptp.c_Comb_Oparcontract _let_4))) (let ((_let_21 (not _let_20))) (let ((_let_22 (not _let_13))) (let ((_let_23 (or _let_22 _let_21))) (let ((_let_24 (_let_3))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (_let_2))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (_let_1))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 ((tptp.c_Pair (tptp.c_Comb_Ocomb_Oop_A_D_D V_x V_z) (tptp.c_Comb_Ocomb_Oop_A_D_D V_y V_w) tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb)))) (let ((_let_31 (not _let_5))) (let ((_let_32 (not _let_7))) (let ((_let_33 (or _let_32 _let_31 _let_16))) (let ((_let_34 (ASSUME :args (_let_7)))) (let ((_let_35 (not _let_6))) (let ((_let_36 (or _let_32 _let_35 _let_14))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_13 _let_17 _let_15 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_32 _let_35 _let_14 (not _let_36)))) _let_34 (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.v_z tptp.v_w tptp.v_xb tptp.v_x_H QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_36 false _let_1)) :args (_let_14 false _let_7 false _let_6 false _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_31 _let_16 (not _let_33)))) _let_34 (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.v_z tptp.v_w tptp.v_yb tptp.v_y_Ha QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_33 false _let_1)) :args (_let_16 false _let_7 false _let_5 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_11 _let_8 _let_12 _let_9 QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_18 false _let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_21 _let_22 (not _let_23)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.v_x_H tptp.v_y_Ha tptp.v_w QUANTIFIERS_INST_E_MATCHING ((tptp.c_Comb_Ocomb_Oop_A_D_D (tptp.c_Comb_Ocomb_Oop_A_D_D (tptp.c_Comb_Ocomb_Oop_A_D_D tptp.c_Comb_Ocomb_OS V_x) V_y) V_z)))) :args _let_26)) _let_27 :args (_let_20 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Pair _let_19 V_U tptp.tc_Comb_Ocomb tptp.tc_Comb_Ocomb)))) :args _let_24)) _let_25 :args (_let_23 false _let_3)) :args (_let_22 false _let_20 false _let_23)) :args (false false _let_14 false _let_16 false _let_18 true _let_13)) :args (_let_7 _let_6 _let_5 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))
% 0.16/0.44  )
% 0.16/0.44  % SZS output end Proof for COL109-2
% 0.16/0.44  % cvc5---1.0.5 exiting
% 0.16/0.44  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------