TSTP Solution File: SET366+4 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET366+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n015.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 : Tue Jul 19 02:53:12 EDT 2022

% Result   : Theorem 0.32s 1.40s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET366+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 02:24:09 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.32/1.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.41  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.41  
% 0.32/1.41  %-----------------------------------------------------
% 0.32/1.41  fof(thI47, conjecture, ! [_27221] : member(empty_set, power_set(_27221)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI47)).
% 0.32/1.41  fof(subset, axiom, ! [_27351, _27354] : (subset(_27351, _27354) <=> ! [_27372] : (member(_27372, _27351) => member(_27372, _27354))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.32/1.41  fof(power_set, axiom, ! [_27561, _27564] : (member(_27561, power_set(_27564)) <=> subset(_27561, _27564)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', power_set)).
% 0.32/1.41  fof(empty_set, axiom, ! [_27722] : ~ member(_27722, empty_set), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', empty_set)).
% 0.32/1.41  
% 0.32/1.41  cnf(1, plain, [member(empty_set, power_set(4 ^ []))], clausify(thI47)).
% 0.32/1.41  cnf(2, plain, [-(subset(_14561, _14617)), -(member(1 ^ [_14617, _14561], _14561))], clausify(subset)).
% 0.32/1.41  cnf(3, plain, [-(member(_15418, power_set(_15465))), subset(_15418, _15465)], clausify(power_set)).
% 0.32/1.41  cnf(4, plain, [member(_16774, empty_set)], clausify(empty_set)).
% 0.32/1.41  
% 0.32/1.41  cnf('1',plain,[member(1 ^ [4 ^ [], empty_set], empty_set)],start(4,bind([[_16774], [1 ^ [4 ^ [], empty_set]]]))).
% 0.32/1.41  cnf('1.1',plain,[-(member(1 ^ [4 ^ [], empty_set], empty_set)), -(subset(empty_set, 4 ^ []))],extension(2,bind([[_14561, _14617], [empty_set, 4 ^ []]]))).
% 0.32/1.41  cnf('1.1.1',plain,[subset(empty_set, 4 ^ []), -(member(empty_set, power_set(4 ^ [])))],extension(3,bind([[_15418, _15465], [empty_set, 4 ^ []]]))).
% 0.32/1.41  cnf('1.1.1.1',plain,[member(empty_set, power_set(4 ^ []))],extension(1)).
% 0.32/1.41  %-----------------------------------------------------
% 0.40/1.42  
% 0.40/1.42  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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