%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET853-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n028.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 05:04:26 EDT 2022
% Result : Unsatisfiable 96.72s 12.58s
% Output : Proof 96.72s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0)]) ).
cnf(g1,plain,
c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1)]) ).
cnf(g2,plain,
c_lessequals(v_xa,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2)]) ).
cnf(g3,plain,
~ sPE(v_xa,c_Zorn_Osucc(v_S,v_x,t_a)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3)]) ).
cnf(g4,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4)]) ).
cnf(g5,plain,
( ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| sPE(v_xa,v_x)
| c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),v_x,tc_set(tc_set(t_a))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5)]) ).
cnf(g6,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_xa,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a)))
| sPE(v_xa,c_Zorn_Osucc(v_S,v_x,t_a)) ),
inference(ground_cnf,[],[file('Axioms/MSC001-0.ax',cls_Set_Osubset__antisym_0)]) ).
cnf(g7,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Osucc__trans_0)]) ).
cnf(g8,plain,
( ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))
| sPE(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x)
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,tc_set(tc_set(t_a))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5)]) ).
cnf(g9,plain,
sPE(tc_set(tc_set(t_a)),tc_set(tc_set(t_a))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g10,plain,
( ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_3)]) ).
cnf(g11,plain,
( ~ sPE(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x)
| ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_2)]) ).
cnf(g12,plain,
( ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_0)]) ).
cnf(g13,plain,
( ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_1)]) ).
cnf(g14,plain,
sPE(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_xa,t_a)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g15,plain,
( ~ sPE(v_xa,v_x)
| sPE(v_x,v_xa) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
c_lessequals(t_a,t_a,tc_set(tc_set(t_a))),
inference(ground_cnf,[],[file('Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0)]) ).
cnf(g17,plain,
( ~ c_lessequals(t_a,t_a,tc_set(tc_set(t_a)))
| ~ c_lessequals(t_a,t_a,tc_set(tc_set(t_a)))
| sPE(t_a,t_a) ),
inference(ground_cnf,[],[file('Axioms/MSC001-0.ax',cls_Set_Osubset__antisym_0)]) ).
cnf(g18,plain,
( ~ sPE(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_Osucc(v_S,v_xa,t_a))
| sPE(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
( ~ sPE(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_xa,t_a))
| ~ sPE(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a))
| ~ sPE(tc_set(tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_xa,t_a),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_xa,t_a),tc_set(tc_set(t_a))),
inference(ground_cnf,[],[file('Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0)]) ).
cnf(g21,plain,
( ~ sPE(v_S,v_S)
| ~ sPE(v_x,v_xa)
| ~ sPE(t_a,t_a)
| sPE(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_Osucc(v_S,v_xa,t_a)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
sPE(v_S,v_S),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET853-1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : satcop --statistics %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 13:11:27 EDT 2022
% 0.13/0.33 % CPUTime :
% 96.72/12.58 % symbols: 211
% 96.72/12.58 % clauses: 1563
% 96.72/12.58 % start clauses: 6
% 96.72/12.58 % iterative deepening steps: 4164
% 96.72/12.58 % maximum path limit: 3
% 96.72/12.58 % literal attempts: 23096564
% 96.72/12.58 % depth failures: 20321189
% 96.72/12.58 % regularity failures: 232174
% 96.72/12.58 % tautology failures: 191659
% 96.72/12.58 % reductions: 1861988
% 96.72/12.58 % extensions: 21217778
% 96.72/12.58 % SAT variables: 2829917
% 96.72/12.58 % SAT clauses: 2582499
% 96.72/12.58 % WalkSAT solutions: 2582489
% 96.72/12.58 % CDCL solutions: 7
% 96.72/12.58 % SZS status Unsatisfiable for theBenchmark
% 96.72/12.58 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------