TSTP Solution File: SWV163+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWV163+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n027.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 19:49:44 EDT 2022

% Result   : Theorem 30.33s 30.42s
% Output   : Proof 30.33s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV163+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n027.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 : Tue Jun 14 18:50:33 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 30.33/30.42  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.33/30.43  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.33/30.44  
% 30.33/30.44  %-----------------------------------------------------
% 30.33/30.44  fof(cl5_nebula_norm_0013, conjecture, leq(n0, pv10) & leq(pv10, n135299) & ! [_143686] : (leq(n0, _143686) & leq(_143686, pred(pv10)) => sum(n0, n4, a_select3(q, _143686, tptp_sum_index)) = n1) => ! [_143744] : (leq(n0, _143744) & leq(_143744, tptp_minus_1) => a_select3(q, pv10, _143744) = divide(sqrt(times(minus(a_select3(center, _143744, n0), a_select2(x, pv10)), minus(a_select3(center, _143744, n0), a_select2(x, pv10)))), sum(n0, n4, sqrt(times(minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10)), minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cl5_nebula_norm_0013)).
% 30.33/30.44  fof(gt_0_tptp_minus_1, axiom, gt(n0, tptp_minus_1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', gt_0_tptp_minus_1)).
% 30.33/30.44  fof(irreflexivity_gt, axiom, ! [_144511] : ~ gt(_144511, _144511), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', irreflexivity_gt)).
% 30.33/30.44  fof(transitivity_leq, axiom, ! [_144626, _144629, _144632] : (leq(_144626, _144629) & leq(_144629, _144632) => leq(_144626, _144632)), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', transitivity_leq)).
% 30.33/30.44  fof(leq_gt_pred, axiom, ! [_144817, _144820] : (leq(_144817, pred(_144820)) <=> gt(_144820, _144817)), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', leq_gt_pred)).
% 30.33/30.44  
% 30.33/30.44  cnf(1, plain, [-(leq(n0, 42 ^ []))], clausify(cl5_nebula_norm_0013)).
% 30.33/30.44  cnf(2, plain, [-(leq(42 ^ [], tptp_minus_1))], clausify(cl5_nebula_norm_0013)).
% 30.33/30.44  cnf(3, plain, [-(gt(n0, tptp_minus_1))], clausify(gt_0_tptp_minus_1)).
% 30.33/30.44  cnf(4, plain, [gt(_61742, _61742)], clausify(irreflexivity_gt)).
% 30.33/30.44  cnf(5, plain, [-(leq(_62108, _62219)), leq(_62108, _62164), leq(_62164, _62219)], clausify(transitivity_leq)).
% 30.33/30.44  cnf(6, plain, [leq(_63921, pred(_63968)), -(gt(_63968, _63921))], clausify(leq_gt_pred)).
% 30.33/30.44  cnf(7, plain, [-(leq(_63921, pred(_63968))), gt(_63968, _63921)], clausify(leq_gt_pred)).
% 30.33/30.44  
% 30.33/30.44  cnf('1',plain,[-(leq(n0, 42 ^ []))],start(1)).
% 30.33/30.44  cnf('1.1',plain,[leq(n0, 42 ^ []), -(leq(n0, pred(n0))), leq(42 ^ [], pred(n0))],extension(5,bind([[_62108, _62164, _62219], [n0, 42 ^ [], pred(n0)]]))).
% 30.33/30.44  cnf('1.1.1',plain,[leq(n0, pred(n0)), -(gt(n0, n0))],extension(6,bind([[_63968, _63921], [n0, n0]]))).
% 30.33/30.44  cnf('1.1.1.1',plain,[gt(n0, n0)],extension(4,bind([[_61742], [n0]]))).
% 30.33/30.44  cnf('1.1.2',plain,[-(leq(42 ^ [], pred(n0))), leq(42 ^ [], tptp_minus_1), leq(tptp_minus_1, pred(n0))],extension(5,bind([[_62108, _62164, _62219], [42 ^ [], tptp_minus_1, pred(n0)]]))).
% 30.33/30.44  cnf('1.1.2.1',plain,[-(leq(42 ^ [], tptp_minus_1))],extension(2)).
% 30.33/30.44  cnf('1.1.2.2',plain,[-(leq(tptp_minus_1, pred(n0))), gt(n0, tptp_minus_1)],extension(7,bind([[_63968, _63921], [n0, tptp_minus_1]]))).
% 30.33/30.44  cnf('1.1.2.2.1',plain,[-(gt(n0, tptp_minus_1))],extension(3)).
% 30.33/30.44  %-----------------------------------------------------
% 30.33/30.44  
% 30.33/30.44  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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