TSTP Solution File: SWW473+6 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWW473+6 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n021.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 00:47:35 EDT 2022

% Result   : Theorem 1.55s 2.46s
% Output   : Proof 1.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW473+6 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n021.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 Jun  4 14:43:33 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.55/2.46  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.55/2.47  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.55/2.47  
% 1.55/2.47  %-----------------------------------------------------
% 1.55/2.47  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/sandbox/benchmark/theBenchmark.p', conj_6)).
% 1.55/2.47  fof(fact_80_imageI, axiom, ! [_277327, _277330, _277333, _277336, _277339] : (hBOOL(hAPP(fun(_277330, bool), bool, hAPP(_277330, fun(fun(_277330, bool), bool), member(_277330), _277336), _277339)) => hBOOL(hAPP(fun(_277327, bool), bool, hAPP(_277327, fun(fun(_277327, bool), bool), member(_277327), hAPP(_277330, _277327, _277333, _277336)), hAPP(fun(_277330, bool), fun(_277327, bool), hAPP(fun(_277330, _277327), fun(fun(_277330, bool), fun(_277327, bool)), image(_277330, _277327), _277333), _277339)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_80_imageI)).
% 1.55/2.47  fof(fact_86_insert__subset, axiom, ! [_277935, _277938, _277941, _277944] : (hBOOL(hAPP(fun(_277935, bool), bool, hAPP(fun(_277935, bool), fun(fun(_277935, bool), bool), ord_less_eq(fun(_277935, bool)), hAPP(fun(_277935, bool), fun(_277935, bool), hAPP(_277935, fun(fun(_277935, bool), fun(_277935, bool)), insert(_277935), _277938), _277941)), _277944)) <=> hBOOL(hAPP(fun(_277935, bool), bool, hAPP(_277935, fun(fun(_277935, bool), bool), member(_277935), _277938), _277944)) & hBOOL(hAPP(fun(_277935, bool), bool, hAPP(fun(_277935, bool), fun(fun(_277935, bool), bool), ord_less_eq(fun(_277935, bool)), _277941), _277944))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_86_insert__subset)).
% 1.55/2.47  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/sandbox/benchmark/theBenchmark.p', conj_1)).
% 1.55/2.47  fof(conj_4, hypothesis, hBOOL(hAPP(fun(pname, bool), bool, hAPP(pname, fun(fun(pname, bool), bool), member(pname), pn), u)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj_4)).
% 1.55/2.47  
% 1.55/2.47  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)).
% 1.55/2.47  cnf(2, plain, [hBOOL(hAPP(fun(_70211, bool), bool, hAPP(_70211, fun(fun(_70211, bool), bool), member(_70211), _70213), _70214)), -(hBOOL(hAPP(fun(_70210, bool), bool, hAPP(_70210, fun(fun(_70210, bool), bool), member(_70210), hAPP(_70211, _70210, _70212, _70213)), hAPP(fun(_70211, bool), fun(_70210, bool), hAPP(fun(_70211, _70210), fun(fun(_70211, bool), fun(_70210, bool)), image(_70211, _70210), _70212), _70214))))], clausify(fact_80_imageI)).
% 1.55/2.47  cnf(3, plain, [-(hBOOL(hAPP(fun(_70997, bool), bool, hAPP(fun(_70997, bool), fun(fun(_70997, bool), bool), ord_less_eq(fun(_70997, bool)), hAPP(fun(_70997, bool), fun(_70997, bool), hAPP(_70997, fun(fun(_70997, bool), fun(_70997, bool)), insert(_70997), _70998), _70999)), _71000))), hBOOL(hAPP(fun(_70997, bool), bool, hAPP(_70997, fun(fun(_70997, bool), bool), member(_70997), _70998), _71000)), hBOOL(hAPP(fun(_70997, bool), bool, hAPP(fun(_70997, bool), fun(fun(_70997, bool), bool), ord_less_eq(fun(_70997, bool)), _70999), _71000))], clausify(fact_86_insert__subset)).
% 1.55/2.47  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)).
% 1.55/2.47  cnf(5, plain, [-(hBOOL(hAPP(fun(pname, bool), bool, hAPP(pname, fun(fun(pname, bool), bool), member(pname), pn), u)))], clausify(conj_4)).
% 1.55/2.47  
% 1.55/2.47  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)).
% 1.55/2.47  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([[_70998, _70997, _70999, _71000], [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)]]))).
% 1.55/2.47  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([[_70210, _70212, _70211, _70213, _70214], [x_a, mgt_call, pname, pn, u]]))).
% 1.55/2.47  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)).
% 1.55/2.47  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)).
% 1.55/2.47  %-----------------------------------------------------
% 1.55/2.48  
% 1.55/2.48  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------