%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : LCL161-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n020.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 01:03:15 PM UTC 2026
% Result : Unsatisfiable 1.74s 0.64s
% Output : Proof 1.74s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(implies(truth,x),x),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_axiom)]) ).
cnf(g1,plain,
sPE(implies(truth,x),xor(truth,and_star(truth,xor(truth,x)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition)]) ).
cnf(g2,plain,
sPE(and_star(x,truth),x),
inference(ground_cnf,[],[file('Axioms/LCL002-0.ax',axiom_4)]) ).
cnf(g3,plain,
sPE(xor(x,falsehood),x),
inference(ground_cnf,[],[file('Axioms/LCL002-0.ax',axiom_2)]) ).
cnf(g4,plain,
( ~ sPE(x,and_star(x,truth))
| ~ sPE(and_star(x,truth),x)
| sPE(x,x) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g5,plain,
sPE(truth,truth),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
sPE(xor(and_star(truth,xor(truth,x)),truth),xor(truth,and_star(truth,xor(truth,x)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_commutativity)]) ).
cnf(g7,plain,
( ~ sPE(and_star(x,truth),x)
| sPE(x,and_star(x,truth)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
( ~ sPE(implies(truth,x),xor(truth,and_star(truth,xor(truth,x))))
| sPE(xor(truth,and_star(truth,xor(truth,x))),implies(truth,x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
sPE(and_star(truth,xor(truth,x)),and_star(xor(truth,x),truth)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_star_commutativity)]) ).
cnf(g10,plain,
sPE(and_star(xor(truth,x),truth),xor(truth,x)),
inference(ground_cnf,[],[file('Axioms/LCL002-0.ax',axiom_4)]) ).
cnf(g11,plain,
( ~ sPE(xor(and_star(truth,xor(truth,x)),truth),xor(truth,and_star(truth,xor(truth,x))))
| ~ sPE(xor(truth,and_star(truth,xor(truth,x))),implies(truth,x))
| sPE(xor(and_star(truth,xor(truth,x)),truth),implies(truth,x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
( ~ sPE(implies(truth,x),xor(and_star(xor(truth,x),truth),truth))
| ~ sPE(xor(and_star(xor(truth,x),truth),truth),x)
| sPE(implies(truth,x),x) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
( ~ sPE(and_star(truth,xor(truth,x)),and_star(xor(truth,x),truth))
| ~ sPE(truth,truth)
| sPE(xor(and_star(truth,xor(truth,x)),truth),xor(and_star(xor(truth,x),truth),truth)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
sPE(xor(and_star(xor(truth,x),truth),truth),xor(truth,and_star(xor(truth,x),truth))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_commutativity)]) ).
cnf(g15,plain,
( ~ sPE(xor(and_star(truth,xor(truth,x)),truth),implies(truth,x))
| sPE(implies(truth,x),xor(and_star(truth,xor(truth,x)),truth)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ sPE(xor(and_star(xor(truth,x),truth),truth),xor(truth,xor(truth,x)))
| ~ sPE(xor(truth,xor(truth,x)),x)
| sPE(xor(and_star(xor(truth,x),truth),truth),x) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( ~ sPE(xor(and_star(xor(truth,x),truth),truth),xor(truth,and_star(xor(truth,x),truth)))
| ~ sPE(xor(truth,and_star(xor(truth,x),truth)),xor(truth,xor(truth,x)))
| sPE(xor(and_star(xor(truth,x),truth),truth),xor(truth,xor(truth,x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g18,plain,
( ~ sPE(truth,truth)
| ~ sPE(and_star(xor(truth,x),truth),xor(truth,x))
| sPE(xor(truth,and_star(xor(truth,x),truth)),xor(truth,xor(truth,x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
sPE(xor(truth,truth),falsehood),
inference(ground_cnf,[],[file('Axioms/LCL002-0.ax',axiom_3)]) ).
cnf(g20,plain,
sPE(xor(truth,xor(truth,x)),xor(xor(truth,truth),x)),
inference(ground_cnf,[],[file('Axioms/LCL002-0.ax',axiom_7)]) ).
cnf(g21,plain,
( ~ sPE(implies(truth,x),xor(and_star(truth,xor(truth,x)),truth))
| ~ sPE(xor(and_star(truth,xor(truth,x)),truth),xor(and_star(xor(truth,x),truth),truth))
| sPE(implies(truth,x),xor(and_star(xor(truth,x),truth),truth)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
( ~ sPE(xor(truth,xor(truth,x)),xor(xor(truth,truth),x))
| ~ sPE(xor(xor(truth,truth),x),xor(x,xor(truth,truth)))
| sPE(xor(truth,xor(truth,x)),xor(x,xor(truth,truth))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
sPE(xor(xor(truth,truth),x),xor(x,xor(truth,truth))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_commutativity)]) ).
cnf(g24,plain,
( ~ sPE(xor(truth,xor(truth,x)),xor(x,falsehood))
| ~ sPE(xor(x,falsehood),x)
| sPE(xor(truth,xor(truth,x)),x) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,plain,
( ~ sPE(xor(truth,xor(truth,x)),xor(x,xor(truth,truth)))
| ~ sPE(xor(x,xor(truth,truth)),xor(x,falsehood))
| sPE(xor(truth,xor(truth,x)),xor(x,falsehood)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g26,plain,
( ~ sPE(x,x)
| ~ sPE(xor(truth,truth),falsehood)
| sPE(xor(x,xor(truth,truth)),xor(x,falsehood)) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL161-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : satcop --statistics %s
% 0.09/0.36 % Computer : n020.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
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 5 08:54:27 UTC 2026
% 0.09/0.37 % CPUTime :
% 1.74/0.64 % symbols: 9
% 1.74/0.64 % clauses: 21
% 1.74/0.64 % start clauses: 1
% 1.74/0.64 % iterative deepening steps: 1568
% 1.74/0.64 % maximum path limit: 7
% 1.74/0.64 % literal attempts: 164898
% 1.74/0.64 % depth failures: 47786
% 1.74/0.64 % regularity failures: 21747
% 1.74/0.64 % tautology failures: 14590
% 1.74/0.64 % reductions: 0
% 1.74/0.64 % extensions: 163348
% 1.74/0.64 % SAT variables: 53431
% 1.74/0.64 % SAT clauses: 89787
% 1.74/0.64 % WalkSAT solutions: 89785
% 1.74/0.64 % CDCL solutions: 0
% 1.74/0.64 % SZS status Unsatisfiable for theBenchmark
% 1.74/0.64 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------