TSTP Solution File: SCT131+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SCT131+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n004.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  : 600s
% DateTime : Mon Jul 18 21:46:02 EDT 2022

% Result   : Theorem 1.55s 2.45s
% Output   : Proof 1.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SCT131+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.12  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jul  2 08:11:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.55/2.45  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.55/2.46  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.55/2.46  
% 1.55/2.46  %-----------------------------------------------------
% 1.55/2.46  fof(conj_0, conjecture, hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_b_H____)), hAPP(v_F, v_Q____))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)).
% 1.55/2.46  fof(fact_u, axiom, c_Arrow__Order__Mirabelle_Ounanimity(v_F), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_u)).
% 1.55/2.46  fof(fact__096_B_Bi_O_Ab_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_H_096, axiom, ! [_344835] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_b_H____)), hAPP(v_Q____, _344835))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact__096_B_Bi_O_Ab_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_H_096)).
% 1.55/2.46  fof(fact__096Q_A_058_AProf_096, axiom, hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_Q____), c_Arrow__Order__Mirabelle_OProf)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact__096Q_A_058_AProf_096)).
% 1.55/2.46  fof(fact_unanimity__def, axiom, ! [_345241] : (c_Arrow__Order__Mirabelle_Ounanimity(_345241) <=> ! [_345256] : (hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _345256), c_Arrow__Order__Mirabelle_OProf)) => ! [_345310, _345313] : (! [_345321] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _345310), _345313)), hAPP(_345256, _345321))) => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _345310), _345313)), hAPP(_345241, _345256)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_unanimity__def)).
% 1.55/2.46  
% 1.55/2.46  cnf(1, plain, [hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_b_H____)), hAPP(v_F, v_Q____)))], clausify(conj_0)).
% 1.55/2.46  cnf(2, plain, [-(c_Arrow__Order__Mirabelle_Ounanimity(v_F))], clausify(fact_u)).
% 1.55/2.46  cnf(3, plain, [-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_b_H____)), hAPP(v_Q____, _50239))))], clausify(fact__096_B_Bi_O_Ab_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_H_096)).
% 1.55/2.46  cnf(4, plain, [-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_Q____), c_Arrow__Order__Mirabelle_OProf)))], clausify(fact__096Q_A_058_AProf_096)).
% 1.55/2.46  cnf(5, plain, [c_Arrow__Order__Mirabelle_Ounanimity(_53928), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), _53931), c_Arrow__Order__Mirabelle_OProf)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _53951), _53952)), hAPP(_53931, 7 ^ [_53952, _53951, _53931, _53928]))), -(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), _53951), _53952)), hAPP(_53928, _53931))))], clausify(fact_unanimity__def)).
% 1.55/2.46  
% 1.55/2.46  cnf('1',plain,[hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_b_H____)), hAPP(v_F, v_Q____)))],start(1)).
% 1.55/2.46  cnf('1.1',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_b_H____)), hAPP(v_F, v_Q____)))), c_Arrow__Order__Mirabelle_Ounanimity(v_F), hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_Q____), c_Arrow__Order__Mirabelle_OProf)), hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_b_H____)), hAPP(v_Q____, 7 ^ [v_b_H____, v_b____, v_Q____, v_F])))],extension(5,bind([[_53952, _53951, _53931, _53928], [v_b_H____, v_b____, v_Q____, v_F]]))).
% 1.55/2.46  cnf('1.1.1',plain,[-(c_Arrow__Order__Mirabelle_Ounanimity(v_F))],extension(2)).
% 1.55/2.46  cnf('1.1.2',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi, tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), tc_HOL_Obool))), v_Q____), c_Arrow__Order__Mirabelle_OProf)))],extension(4)).
% 1.55/2.46  cnf('1.1.3',plain,[-(hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt)), hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt), v_b____), v_b_H____)), hAPP(v_Q____, 7 ^ [v_b_H____, v_b____, v_Q____, v_F]))))],extension(3,bind([[_50239], [7 ^ [v_b_H____, v_b____, v_Q____, v_F]]]))).
% 1.55/2.46  %-----------------------------------------------------
% 1.55/2.47  
% 1.55/2.47  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------