TSTP Solution File: SWW473+5 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWW473+5 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n018.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 : Thu Jul 21 00:47:34 EDT 2022

% Result   : Theorem 0.38s 1.40s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWW473+5 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jun  5 09:55:18 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.38/1.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.41  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.42  
% 0.38/1.42  %-----------------------------------------------------
% 0.38/1.42  fof(conj_6, conjecture, hBOOL(hAPP(fun(x_a, bool), bool, hAPP(fun(x_a, bool), fun(fun(x_a, bool), bool), ord_less_eq(fun(x_a, bool)), hAPP(fun(x_a, bool), fun(x_a, bool), hAPP(x_a, fun(fun(x_a, bool), fun(x_a, bool)), insert(x_a), hAPP(pname, x_a, mgt_call, pn)), g)), hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_6)).
% 0.38/1.42  fof(fact_78_imageI, axiom, ! [_426869, _426872, _426875, _426878, _426881] : (hBOOL(hAPP(fun(_426872, bool), bool, hAPP(_426872, fun(fun(_426872, bool), bool), member(_426872), _426878), _426881)) => hBOOL(hAPP(fun(_426869, bool), bool, hAPP(_426869, fun(fun(_426869, bool), bool), member(_426869), hAPP(_426872, _426869, _426875, _426878)), hAPP(fun(_426872, bool), fun(_426869, bool), hAPP(fun(_426872, _426869), fun(fun(_426872, bool), fun(_426869, bool)), image(_426872, _426869), _426875), _426881)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_78_imageI)).
% 0.38/1.42  fof(fact_84_insert__subset, axiom, ! [_427477, _427480, _427483, _427486] : (hBOOL(hAPP(fun(_427477, bool), bool, hAPP(fun(_427477, bool), fun(fun(_427477, bool), bool), ord_less_eq(fun(_427477, bool)), hAPP(fun(_427477, bool), fun(_427477, bool), hAPP(_427477, fun(fun(_427477, bool), fun(_427477, bool)), insert(_427477), _427480), _427483)), _427486)) <=> hBOOL(hAPP(fun(_427477, bool), bool, hAPP(_427477, fun(fun(_427477, bool), bool), member(_427477), _427480), _427486)) & hBOOL(hAPP(fun(_427477, bool), bool, hAPP(fun(_427477, bool), fun(fun(_427477, bool), bool), ord_less_eq(fun(_427477, bool)), _427483), _427486))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_84_insert__subset)).
% 0.38/1.42  fof(conj_1, hypothesis, hBOOL(hAPP(fun(x_a, bool), bool, hAPP(fun(x_a, bool), fun(fun(x_a, bool), bool), ord_less_eq(fun(x_a, bool)), g), hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_1)).
% 0.38/1.42  fof(conj_4, hypothesis, hBOOL(hAPP(fun(pname, bool), bool, hAPP(pname, fun(fun(pname, bool), bool), member(pname), pn), u)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_4)).
% 0.38/1.42  
% 0.38/1.42  cnf(1, plain, [hBOOL(hAPP(fun(x_a, bool), bool, hAPP(fun(x_a, bool), fun(fun(x_a, bool), bool), ord_less_eq(fun(x_a, bool)), hAPP(fun(x_a, bool), fun(x_a, bool), hAPP(x_a, fun(fun(x_a, bool), fun(x_a, bool)), insert(x_a), hAPP(pname, x_a, mgt_call, pn)), g)), hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u)))], clausify(conj_6)).
% 0.38/1.42  cnf(2, plain, [hBOOL(hAPP(fun(_315441, bool), bool, hAPP(_315441, fun(fun(_315441, bool), bool), member(_315441), _315710), _315843)), -(hBOOL(hAPP(fun(_315305, bool), bool, hAPP(_315305, fun(fun(_315305, bool), bool), member(_315305), hAPP(_315441, _315305, _315576, _315710)), hAPP(fun(_315441, bool), fun(_315305, bool), hAPP(fun(_315441, _315305), fun(fun(_315441, bool), fun(_315305, bool)), image(_315441, _315305), _315576), _315843))))], clausify(fact_78_imageI)).
% 0.38/1.42  cnf(3, plain, [-(hBOOL(hAPP(fun(_329367, bool), bool, hAPP(fun(_329367, bool), fun(fun(_329367, bool), bool), ord_less_eq(fun(_329367, bool)), hAPP(fun(_329367, bool), fun(_329367, bool), hAPP(_329367, fun(fun(_329367, bool), fun(_329367, bool)), insert(_329367), _329527), _329686)), _329844))), hBOOL(hAPP(fun(_329367, bool), bool, hAPP(_329367, fun(fun(_329367, bool), bool), member(_329367), _329527), _329844)), hBOOL(hAPP(fun(_329367, bool), bool, hAPP(fun(_329367, bool), fun(fun(_329367, bool), bool), ord_less_eq(fun(_329367, bool)), _329686), _329844))], clausify(fact_84_insert__subset)).
% 0.38/1.42  cnf(4, plain, [-(hBOOL(hAPP(fun(x_a, bool), bool, hAPP(fun(x_a, bool), fun(fun(x_a, bool), bool), ord_less_eq(fun(x_a, bool)), g), hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u))))], clausify(conj_1)).
% 0.38/1.42  cnf(5, plain, [-(hBOOL(hAPP(fun(pname, bool), bool, hAPP(pname, fun(fun(pname, bool), bool), member(pname), pn), u)))], clausify(conj_4)).
% 0.38/1.42  
% 0.38/1.42  cnf('1',plain,[hBOOL(hAPP(fun(x_a, bool), bool, hAPP(fun(x_a, bool), fun(fun(x_a, bool), bool), ord_less_eq(fun(x_a, bool)), hAPP(fun(x_a, bool), fun(x_a, bool), hAPP(x_a, fun(fun(x_a, bool), fun(x_a, bool)), insert(x_a), hAPP(pname, x_a, mgt_call, pn)), g)), hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u)))],start(1)).
% 0.38/1.42  cnf('1.1',plain,[-(hBOOL(hAPP(fun(x_a, bool), bool, hAPP(fun(x_a, bool), fun(fun(x_a, bool), bool), ord_less_eq(fun(x_a, bool)), hAPP(fun(x_a, bool), fun(x_a, bool), hAPP(x_a, fun(fun(x_a, bool), fun(x_a, bool)), insert(x_a), hAPP(pname, x_a, mgt_call, pn)), g)), hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u)))), hBOOL(hAPP(fun(x_a, bool), bool, hAPP(x_a, fun(fun(x_a, bool), bool), member(x_a), hAPP(pname, x_a, mgt_call, pn)), hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u))), hBOOL(hAPP(fun(x_a, bool), bool, hAPP(fun(x_a, bool), fun(fun(x_a, bool), bool), ord_less_eq(fun(x_a, bool)), g), hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u)))],extension(3,bind([[_329527, _329367, _329686, _329844], [hAPP(pname, x_a, mgt_call, pn), x_a, g, hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u)]]))).
% 0.38/1.42  cnf('1.1.1',plain,[-(hBOOL(hAPP(fun(x_a, bool), bool, hAPP(x_a, fun(fun(x_a, bool), bool), member(x_a), hAPP(pname, x_a, mgt_call, pn)), hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u)))), hBOOL(hAPP(fun(pname, bool), bool, hAPP(pname, fun(fun(pname, bool), bool), member(pname), pn), u))],extension(2,bind([[_315305, _315576, _315441, _315710, _315843], [x_a, mgt_call, pname, pn, u]]))).
% 0.38/1.42  cnf('1.1.1.1',plain,[-(hBOOL(hAPP(fun(pname, bool), bool, hAPP(pname, fun(fun(pname, bool), bool), member(pname), pn), u)))],extension(5)).
% 0.38/1.42  cnf('1.1.2',plain,[-(hBOOL(hAPP(fun(x_a, bool), bool, hAPP(fun(x_a, bool), fun(fun(x_a, bool), bool), ord_less_eq(fun(x_a, bool)), g), hAPP(fun(pname, bool), fun(x_a, bool), hAPP(fun(pname, x_a), fun(fun(pname, bool), fun(x_a, bool)), image(pname, x_a), mgt_call), u))))],extension(4)).
% 0.38/1.42  %-----------------------------------------------------
% 0.38/1.42  
% 0.38/1.42  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------