TSTP Solution File: SWV373+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWV373+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n029.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 : Wed Jul 20 19:50:39 EDT 2022

% Result   : Theorem 0.76s 1.43s
% Output   : Proof 0.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV373+1 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun 15 10:53:56 EDT 2022
% 0.20/0.35  % CPUTime  : 
% 0.76/1.43  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/1.43  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/1.44  
% 0.76/1.44  %-----------------------------------------------------
% 0.76/1.44  fof(l9_co, conjecture, ! [_80410, _80413, _80416] : (~ contains_cpq(triple(_80410, _80413, _80416), findmin_cpq_res(triple(_80410, _80413, _80416))) => ~ ok(findmin_cpq_eff(triple(_80410, _80413, _80416)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l9_co)).
% 0.76/1.44  fof(l9_l10, lemma, ! [_80757, _80760, _80763] : (ok(findmin_cpq_eff(triple(_80757, _80760, _80763))) => (! _80760) = create_slb & contains_slb(_80760, findmin_pqp_res(_80757)) & less_than(lookup_slb(_80760, findmin_pqp_res(_80757)), findmin_pqp_res(_80757))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l9_l10)).
% 0.76/1.44  fof(ax39, axiom, ! [_81065, _81068, _81071, _81074] : (contains_cpq(triple(_81065, _81068, _81071), _81074) <=> contains_slb(_81068, _81074)), file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax', ax39)).
% 0.76/1.44  fof(ax51, axiom, ! [_81269, _81272, _81275, _81278] : ((! _81272) = create_slb => findmin_cpq_res(triple(_81269, _81272, _81275)) = findmin_pqp_res(_81269)), file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax', ax51)).
% 0.76/1.44  
% 0.76/1.44  cnf(1, plain, [contains_cpq(triple(1 ^ [], 2 ^ [], 3 ^ []), findmin_cpq_res(triple(1 ^ [], 2 ^ [], 3 ^ [])))], clausify(l9_co)).
% 0.76/1.44  cnf(2, plain, [-(ok(findmin_cpq_eff(triple(1 ^ [], 2 ^ [], 3 ^ []))))], clausify(l9_co)).
% 0.76/1.44  cnf(3, plain, [-(_24027 = _24027)], theory(equality)).
% 0.76/1.44  cnf(4, plain, [_24180 = _24225, -(_24225 = _24180)], theory(equality)).
% 0.76/1.44  cnf(5, plain, [-(contains_cpq(_25331, _25462)), contains_cpq(_25264, _25397), _25264 = _25331, _25397 = _25462], theory(equality)).
% 0.76/1.44  cnf(6, plain, [ok(findmin_cpq_eff(triple(_60749, _60827, _60904))), _60827 = create_slb], clausify(l9_l10)).
% 0.76/1.44  cnf(7, plain, [ok(findmin_cpq_eff(triple(_60749, _60827, _60904))), -(contains_slb(_60827, findmin_pqp_res(_60749)))], clausify(l9_l10)).
% 0.76/1.44  cnf(8, plain, [-(contains_cpq(triple(_50871, _50930, _50988), _51045)), contains_slb(_50930, _51045)], clausify(ax39)).
% 0.76/1.44  cnf(9, plain, [-(_59412 = create_slb), -(findmin_cpq_res(triple(_59347, _59412, _59476)) = findmin_pqp_res(_59347))], clausify(ax51)).
% 0.76/1.44  
% 0.76/1.44  cnf('1',plain,[contains_cpq(triple(1 ^ [], 2 ^ [], 3 ^ []), findmin_cpq_res(triple(1 ^ [], 2 ^ [], 3 ^ [])))],start(1)).
% 0.76/1.44  cnf('1.1',plain,[-(contains_cpq(triple(1 ^ [], 2 ^ [], 3 ^ []), findmin_cpq_res(triple(1 ^ [], 2 ^ [], 3 ^ [])))), contains_cpq(triple(1 ^ [], 2 ^ [], 3 ^ []), findmin_pqp_res(1 ^ [])), triple(1 ^ [], 2 ^ [], 3 ^ []) = triple(1 ^ [], 2 ^ [], 3 ^ []), findmin_pqp_res(1 ^ []) = findmin_cpq_res(triple(1 ^ [], 2 ^ [], 3 ^ []))],extension(5,bind([[_25264, _25331, _25397, _25462], [triple(1 ^ [], 2 ^ [], 3 ^ []), triple(1 ^ [], 2 ^ [], 3 ^ []), findmin_pqp_res(1 ^ []), findmin_cpq_res(triple(1 ^ [], 2 ^ [], 3 ^ []))]]))).
% 0.76/1.44  cnf('1.1.1',plain,[-(contains_cpq(triple(1 ^ [], 2 ^ [], 3 ^ []), findmin_pqp_res(1 ^ []))), contains_cpq(triple(1 ^ [], 2 ^ [], 3 ^ []), findmin_pqp_res(1 ^ [])), triple(1 ^ [], 2 ^ [], 3 ^ []) = triple(1 ^ [], 2 ^ [], 3 ^ []), findmin_pqp_res(1 ^ []) = findmin_pqp_res(1 ^ [])],extension(5,bind([[_25264, _25331, _25397, _25462], [triple(1 ^ [], 2 ^ [], 3 ^ []), triple(1 ^ [], 2 ^ [], 3 ^ []), findmin_pqp_res(1 ^ []), findmin_pqp_res(1 ^ [])]]))).
% 0.76/1.44  cnf('1.1.1.1',plain,[-(contains_cpq(triple(1 ^ [], 2 ^ [], 3 ^ []), findmin_pqp_res(1 ^ []))), contains_slb(2 ^ [], findmin_pqp_res(1 ^ []))],extension(8,bind([[_50871, _50988, _50930, _51045], [1 ^ [], 3 ^ [], 2 ^ [], findmin_pqp_res(1 ^ [])]]))).
% 0.76/1.44  cnf('1.1.1.1.1',plain,[-(contains_slb(2 ^ [], findmin_pqp_res(1 ^ []))), ok(findmin_cpq_eff(triple(1 ^ [], 2 ^ [], 3 ^ [])))],extension(7,bind([[_60749, _60827, _60904], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 0.76/1.44  cnf('1.1.1.1.1.1',plain,[-(ok(findmin_cpq_eff(triple(1 ^ [], 2 ^ [], 3 ^ []))))],extension(2)).
% 0.76/1.44  cnf('1.1.1.2',plain,[-(triple(1 ^ [], 2 ^ [], 3 ^ []) = triple(1 ^ [], 2 ^ [], 3 ^ []))],extension(3,bind([[_24027], [triple(1 ^ [], 2 ^ [], 3 ^ [])]]))).
% 0.76/1.44  cnf('1.1.1.3',plain,[-(findmin_pqp_res(1 ^ []) = findmin_pqp_res(1 ^ []))],extension(3,bind([[_24027], [findmin_pqp_res(1 ^ [])]]))).
% 0.76/1.44  cnf('1.1.2',plain,[-(triple(1 ^ [], 2 ^ [], 3 ^ []) = triple(1 ^ [], 2 ^ [], 3 ^ []))],extension(3,bind([[_24027], [triple(1 ^ [], 2 ^ [], 3 ^ [])]]))).
% 0.76/1.44  cnf('1.1.3',plain,[-(findmin_pqp_res(1 ^ []) = findmin_cpq_res(triple(1 ^ [], 2 ^ [], 3 ^ []))), findmin_cpq_res(triple(1 ^ [], 2 ^ [], 3 ^ [])) = findmin_pqp_res(1 ^ [])],extension(4,bind([[_24180, _24225], [findmin_cpq_res(triple(1 ^ [], 2 ^ [], 3 ^ [])), findmin_pqp_res(1 ^ [])]]))).
% 0.76/1.44  cnf('1.1.3.1',plain,[-(findmin_cpq_res(triple(1 ^ [], 2 ^ [], 3 ^ [])) = findmin_pqp_res(1 ^ [])), -(2 ^ [] = create_slb)],extension(9,bind([[_59476, _59347, _59412], [3 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.76/1.44  cnf('1.1.3.1.1',plain,[2 ^ [] = create_slb, ok(findmin_cpq_eff(triple(1 ^ [], 2 ^ [], 3 ^ [])))],extension(6,bind([[_60749, _60827, _60904], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 0.76/1.44  cnf('1.1.3.1.1.1',plain,[-(ok(findmin_cpq_eff(triple(1 ^ [], 2 ^ [], 3 ^ []))))],extension(2)).
% 0.76/1.44  %-----------------------------------------------------
% 0.76/1.45  
% 0.76/1.45  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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