TSTP Solution File: SET194+3 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET194+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n019.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 02:52:14 EDT 2022

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

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET194+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 13:26:23 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.32/1.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.41  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.41  
% 0.32/1.41  %-----------------------------------------------------
% 0.32/1.41  fof(prove_subset_of_union, conjecture, ! [_14170, _14173] : subset(_14170, union(_14170, _14173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_subset_of_union)).
% 0.32/1.41  fof(union_defn, axiom, ! [_14310, _14313, _14316] : (member(_14316, union(_14310, _14313)) <=> member(_14316, _14310) | member(_14316, _14313)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', union_defn)).
% 0.32/1.41  fof(subset_defn, axiom, ! [_14513, _14516] : (subset(_14513, _14516) <=> ! [_14534] : (member(_14534, _14513) => member(_14534, _14516))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset_defn)).
% 0.32/1.41  
% 0.32/1.41  cnf(1, plain, [subset(3 ^ [], union(3 ^ [], 4 ^ []))], clausify(prove_subset_of_union)).
% 0.32/1.41  cnf(2, plain, [-(member(_7649, union(_7532, _7591))), member(_7649, _7532)], clausify(union_defn)).
% 0.32/1.41  cnf(3, plain, [-(subset(_8045, _8101)), -(member(1 ^ [_8101, _8045], _8045))], clausify(subset_defn)).
% 0.32/1.41  cnf(4, plain, [-(subset(_8045, _8101)), member(1 ^ [_8101, _8045], _8101)], clausify(subset_defn)).
% 0.32/1.41  
% 0.32/1.41  cnf('1',plain,[subset(3 ^ [], union(3 ^ [], 4 ^ []))],start(1)).
% 0.32/1.41  cnf('1.1',plain,[-(subset(3 ^ [], union(3 ^ [], 4 ^ []))), -(member(1 ^ [union(3 ^ [], 4 ^ []), 3 ^ []], 3 ^ []))],extension(3,bind([[_8101, _8045], [union(3 ^ [], 4 ^ []), 3 ^ []]]))).
% 0.32/1.41  cnf('1.1.1',plain,[member(1 ^ [union(3 ^ [], 4 ^ []), 3 ^ []], 3 ^ []), -(member(1 ^ [union(3 ^ [], 4 ^ []), 3 ^ []], union(3 ^ [], 4 ^ [])))],extension(2,bind([[_7649, _7532, _7591], [1 ^ [union(3 ^ [], 4 ^ []), 3 ^ []], 3 ^ [], 4 ^ []]]))).
% 0.32/1.41  cnf('1.1.1.1',plain,[member(1 ^ [union(3 ^ [], 4 ^ []), 3 ^ []], union(3 ^ [], 4 ^ [])), -(subset(3 ^ [], union(3 ^ [], 4 ^ [])))],extension(4,bind([[_8045, _8101], [3 ^ [], union(3 ^ [], 4 ^ [])]]))).
% 0.32/1.41  cnf('1.1.1.1.1',plain,[subset(3 ^ [], union(3 ^ [], 4 ^ []))],extension(1)).
% 0.32/1.41  %-----------------------------------------------------
% 0.32/1.42  
% 0.32/1.42  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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