%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : LCL134-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:03:14 PM UTC 2026
% Result : Unsatisfiable 6.16s 1.22s
% Output : Proof 6.16s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(implies(x,truth),truth),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_lemma)]) ).
cnf(g1,plain,
sPE(implies(truth,truth),truth),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).
cnf(g2,plain,
sPE(implies(truth,implies(x,truth)),implies(x,truth)),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).
cnf(g3,plain,
sPE(truth,truth),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g4,plain,
( ~ sPE(implies(implies(truth,x),truth),implies(x,truth))
| sPE(implies(x,truth),implies(implies(truth,x),truth)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g5,plain,
( ~ sPE(implies(truth,x),x)
| ~ sPE(truth,truth)
| sPE(implies(implies(truth,x),truth),implies(x,truth)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
sPE(implies(truth,x),x),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).
cnf(g7,plain,
sPE(implies(implies(x,truth),truth),implies(implies(truth,x),x)),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_3)]) ).
cnf(g8,plain,
( ~ sPE(implies(truth,x),x)
| sPE(x,implies(truth,x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
sPE(implies(truth,implies(truth,x)),implies(truth,x)),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).
cnf(g10,plain,
sPE(implies(implies(truth,implies(truth,x)),implies(truth,x)),implies(implies(implies(truth,x),truth),truth)),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_3)]) ).
cnf(g11,plain,
sPE(implies(implies(truth,implies(truth,x)),implies(implies(implies(truth,x),truth),implies(truth,truth))),truth),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_2)]) ).
cnf(g12,plain,
sPE(implies(implies(implies(truth,x),truth),truth),implies(implies(truth,implies(truth,x)),implies(truth,x))),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_3)]) ).
cnf(g13,plain,
sPE(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,x))),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).
cnf(g14,plain,
sPE(implies(truth,implies(truth,implies(truth,implies(truth,x)))),implies(truth,implies(truth,implies(truth,x)))),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).
cnf(g15,plain,
( ~ sPE(implies(truth,implies(truth,x)),implies(truth,x))
| sPE(implies(truth,x),implies(truth,implies(truth,x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ sPE(implies(truth,truth),truth)
| sPE(truth,implies(truth,truth)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( ~ sPE(truth,truth)
| ~ sPE(implies(truth,x),implies(truth,implies(truth,x)))
| sPE(implies(truth,implies(truth,x)),implies(truth,implies(truth,implies(truth,x)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g18,plain,
sPE(implies(implies(truth,x),truth),implies(implies(truth,x),truth)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
( ~ sPE(implies(truth,implies(implies(implies(truth,x),truth),truth)),truth)
| sPE(truth,implies(truth,implies(implies(implies(truth,x),truth),truth))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
( ~ sPE(implies(truth,implies(implies(implies(truth,x),truth),truth)),implies(truth,implies(implies(truth,implies(truth,x)),implies(truth,x))))
| ~ sPE(implies(truth,implies(implies(truth,implies(truth,x)),implies(truth,x))),truth)
| sPE(implies(truth,implies(implies(implies(truth,x),truth),truth)),truth) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
( ~ sPE(truth,truth)
| ~ sPE(implies(implies(implies(truth,x),truth),truth),implies(implies(truth,implies(truth,x)),implies(truth,x)))
| sPE(implies(truth,implies(implies(implies(truth,x),truth),truth)),implies(truth,implies(implies(truth,implies(truth,x)),implies(truth,x)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
( ~ sPE(implies(x,truth),implies(implies(truth,implies(truth,x)),implies(implies(implies(truth,x),truth),implies(truth,truth))))
| ~ sPE(implies(implies(truth,implies(truth,x)),implies(implies(implies(truth,x),truth),implies(truth,truth))),truth)
| sPE(implies(x,truth),truth) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
( ~ sPE(x,implies(truth,implies(truth,x)))
| ~ sPE(truth,implies(implies(implies(truth,x),truth),implies(truth,truth)))
| sPE(implies(x,truth),implies(implies(truth,implies(truth,x)),implies(implies(implies(truth,x),truth),implies(truth,truth)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
( ~ sPE(implies(truth,implies(x,truth)),implies(x,truth))
| ~ sPE(truth,truth)
| sPE(implies(implies(truth,implies(x,truth)),truth),implies(implies(x,truth),truth)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,plain,
( ~ sPE(implies(implies(truth,implies(x,truth)),truth),truth)
| sPE(truth,implies(implies(truth,implies(x,truth)),truth)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g26,plain,
( ~ sPE(implies(truth,x),implies(truth,implies(truth,x)))
| ~ sPE(implies(truth,implies(truth,x)),implies(truth,implies(truth,implies(truth,x))))
| sPE(implies(truth,x),implies(truth,implies(truth,implies(truth,x)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
sPE(implies(truth,implies(implies(truth,implies(truth,x)),implies(truth,x))),implies(implies(truth,implies(truth,x)),implies(truth,x))),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).
cnf(g28,plain,
( ~ sPE(x,implies(truth,x))
| ~ sPE(implies(truth,x),implies(truth,implies(truth,implies(truth,x))))
| sPE(x,implies(truth,implies(truth,implies(truth,x)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g29,plain,
( ~ sPE(x,implies(truth,implies(truth,implies(truth,x))))
| ~ sPE(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,x)))
| sPE(x,implies(truth,implies(truth,x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g30,plain,
( ~ sPE(implies(truth,implies(implies(truth,implies(truth,x)),implies(truth,x))),implies(implies(truth,implies(truth,x)),implies(truth,x)))
| sPE(implies(implies(truth,implies(truth,x)),implies(truth,x)),implies(truth,implies(implies(truth,implies(truth,x)),implies(truth,x)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( ~ sPE(truth,implies(implies(truth,implies(x,truth)),truth))
| ~ sPE(implies(implies(truth,implies(x,truth)),truth),implies(truth,implies(implies(truth,implies(truth,x)),implies(truth,x))))
| sPE(truth,implies(truth,implies(implies(truth,implies(truth,x)),implies(truth,x)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
( ~ sPE(implies(implies(truth,implies(x,truth)),truth),implies(implies(truth,implies(truth,x)),implies(truth,x)))
| ~ sPE(implies(implies(truth,implies(truth,x)),implies(truth,x)),implies(truth,implies(implies(truth,implies(truth,x)),implies(truth,x))))
| sPE(implies(implies(truth,implies(x,truth)),truth),implies(truth,implies(implies(truth,implies(truth,x)),implies(truth,x)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
( ~ sPE(implies(implies(truth,implies(truth,x)),implies(truth,x)),implies(implies(truth,implies(x,truth)),truth))
| sPE(implies(implies(truth,implies(x,truth)),truth),implies(implies(truth,implies(truth,x)),implies(truth,x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ sPE(implies(implies(truth,implies(truth,x)),implies(truth,x)),implies(implies(implies(truth,x),truth),truth))
| ~ sPE(implies(implies(implies(truth,x),truth),truth),implies(implies(truth,implies(x,truth)),truth))
| sPE(implies(implies(truth,implies(truth,x)),implies(truth,x)),implies(implies(truth,implies(x,truth)),truth)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g35,plain,
( ~ sPE(implies(implies(truth,implies(x,truth)),truth),implies(implies(implies(truth,x),truth),truth))
| sPE(implies(implies(implies(truth,x),truth),truth),implies(implies(truth,implies(x,truth)),truth)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g36,plain,
( ~ sPE(implies(truth,implies(x,truth)),implies(implies(truth,x),truth))
| ~ sPE(truth,truth)
| sPE(implies(implies(truth,implies(x,truth)),truth),implies(implies(implies(truth,x),truth),truth)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g37,plain,
( ~ sPE(implies(truth,implies(x,truth)),implies(x,truth))
| ~ sPE(implies(x,truth),implies(implies(truth,x),truth))
| sPE(implies(truth,implies(x,truth)),implies(implies(truth,x),truth)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g38,plain,
( ~ sPE(implies(implies(truth,x),truth),implies(implies(truth,x),truth))
| ~ sPE(truth,implies(truth,truth))
| sPE(implies(implies(implies(truth,x),truth),truth),implies(implies(implies(truth,x),truth),implies(truth,truth))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g39,plain,
( ~ sPE(implies(implies(truth,implies(x,truth)),truth),implies(implies(x,truth),truth))
| ~ sPE(implies(implies(x,truth),truth),truth)
| sPE(implies(implies(truth,implies(x,truth)),truth),truth) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g40,plain,
( ~ sPE(truth,implies(truth,implies(implies(truth,implies(truth,x)),implies(truth,x))))
| sPE(implies(truth,implies(implies(truth,implies(truth,x)),implies(truth,x))),truth) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g41,plain,
( ~ sPE(implies(implies(truth,x),x),implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x)))))
| sPE(implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x)))),implies(implies(truth,x),x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g42,plain,
( ~ sPE(implies(truth,x),implies(truth,implies(truth,implies(truth,x))))
| ~ sPE(x,implies(truth,implies(truth,implies(truth,x))))
| sPE(implies(implies(truth,x),x),implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g43,plain,
( ~ sPE(implies(implies(x,truth),truth),implies(implies(truth,x),x))
| ~ sPE(implies(implies(truth,x),x),implies(truth,implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x))))))
| sPE(implies(implies(x,truth),truth),implies(truth,implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x)))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g44,plain,
( ~ sPE(implies(truth,implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x))))),implies(implies(truth,x),x))
| sPE(implies(implies(truth,x),x),implies(truth,implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x)))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g45,plain,
( ~ sPE(implies(truth,implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x))))),implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x)))))
| ~ sPE(implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x)))),implies(implies(truth,x),x))
| sPE(implies(truth,implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x))))),implies(implies(truth,x),x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g46,plain,
sPE(implies(truth,implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x))))),implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x))))),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).
cnf(g47,plain,
( ~ sPE(implies(truth,implies(truth,implies(truth,implies(truth,x)))),implies(truth,implies(truth,implies(truth,x))))
| ~ sPE(implies(truth,implies(truth,implies(truth,implies(truth,x)))),implies(truth,implies(truth,implies(truth,x))))
| sPE(implies(implies(truth,implies(truth,implies(truth,implies(truth,x)))),implies(truth,implies(truth,implies(truth,implies(truth,x))))),implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g48,plain,
( ~ sPE(implies(implies(x,truth),truth),implies(implies(truth,truth),implies(implies(truth,implies(truth,implies(truth,implies(truth,x)))),implies(truth,implies(truth,implies(truth,implies(truth,x)))))))
| ~ sPE(implies(implies(truth,truth),implies(implies(truth,implies(truth,implies(truth,implies(truth,x)))),implies(truth,implies(truth,implies(truth,implies(truth,x)))))),truth)
| sPE(implies(implies(x,truth),truth),truth) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g49,plain,
( ~ sPE(implies(implies(x,truth),truth),implies(truth,implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x))))))
| ~ sPE(implies(truth,implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x))))),implies(implies(truth,truth),implies(implies(truth,implies(truth,implies(truth,implies(truth,x)))),implies(truth,implies(truth,implies(truth,implies(truth,x)))))))
| sPE(implies(implies(x,truth),truth),implies(implies(truth,truth),implies(implies(truth,implies(truth,implies(truth,implies(truth,x)))),implies(truth,implies(truth,implies(truth,implies(truth,x))))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g50,plain,
( ~ sPE(implies(implies(truth,truth),implies(implies(truth,implies(truth,implies(truth,implies(truth,x)))),implies(truth,implies(truth,implies(truth,implies(truth,x)))))),implies(truth,implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x))))))
| sPE(implies(truth,implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x))))),implies(implies(truth,truth),implies(implies(truth,implies(truth,implies(truth,implies(truth,x)))),implies(truth,implies(truth,implies(truth,implies(truth,x))))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g51,plain,
( ~ sPE(implies(truth,truth),truth)
| ~ sPE(implies(implies(truth,implies(truth,implies(truth,implies(truth,x)))),implies(truth,implies(truth,implies(truth,implies(truth,x))))),implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x)))))
| sPE(implies(implies(truth,truth),implies(implies(truth,implies(truth,implies(truth,implies(truth,x)))),implies(truth,implies(truth,implies(truth,implies(truth,x)))))),implies(truth,implies(implies(truth,implies(truth,implies(truth,x))),implies(truth,implies(truth,implies(truth,x)))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g52,plain,
sPE(implies(implies(truth,truth),implies(implies(truth,implies(truth,implies(truth,implies(truth,x)))),implies(truth,implies(truth,implies(truth,implies(truth,x)))))),truth),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_2)]) ).
cnf(g53,plain,
sPE(implies(truth,implies(implies(implies(truth,x),truth),implies(truth,truth))),implies(implies(implies(truth,x),truth),implies(truth,truth))),
inference(ground_cnf,[],[file('Axioms/LCL001-0.ax',wajsberg_1)]) ).
cnf(g54,plain,
( ~ sPE(truth,implies(truth,implies(implies(implies(truth,x),truth),truth)))
| ~ sPE(implies(truth,implies(implies(implies(truth,x),truth),truth)),implies(implies(implies(truth,x),truth),implies(truth,truth)))
| sPE(truth,implies(implies(implies(truth,x),truth),implies(truth,truth))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g55,plain,
( ~ sPE(implies(truth,implies(implies(implies(truth,x),truth),truth)),implies(truth,implies(implies(implies(truth,x),truth),implies(truth,truth))))
| ~ sPE(implies(truth,implies(implies(implies(truth,x),truth),implies(truth,truth))),implies(implies(implies(truth,x),truth),implies(truth,truth)))
| sPE(implies(truth,implies(implies(implies(truth,x),truth),truth)),implies(implies(implies(truth,x),truth),implies(truth,truth))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g56,plain,
( ~ sPE(truth,truth)
| ~ sPE(implies(implies(implies(truth,x),truth),truth),implies(implies(implies(truth,x),truth),implies(truth,truth)))
| sPE(implies(truth,implies(implies(implies(truth,x),truth),truth)),implies(truth,implies(implies(implies(truth,x),truth),implies(truth,truth)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL134-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : satcop --statistics %s
% 0.09/0.36 % Computer : n027.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 4 18:19:12 UTC 2026
% 0.09/0.36 % CPUTime :
% 6.16/1.22 % symbols: 6
% 6.16/1.22 % clauses: 10
% 6.16/1.22 % start clauses: 1
% 6.16/1.22 % iterative deepening steps: 2157
% 6.16/1.22 % maximum path limit: 103
% 6.16/1.22 % literal attempts: 97620
% 6.16/1.22 % depth failures: 11614
% 6.16/1.22 % regularity failures: 8344
% 6.16/1.22 % tautology failures: 16615
% 6.16/1.22 % reductions: 0
% 6.16/1.22 % extensions: 97500
% 6.16/1.22 % SAT variables: 57427
% 6.16/1.22 % SAT clauses: 83098
% 6.16/1.22 % WalkSAT solutions: 83093
% 6.16/1.22 % CDCL solutions: 2
% 6.16/1.22 % SZS status Unsatisfiable for theBenchmark
% 6.16/1.22 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------