%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL161-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 12:13:15 PM UTC 2026
% Result : Unsatisfiable 64.72s 8.57s
% Output : CNFRefutation 64.72s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_wajsberg_axiomERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(13,plain,
implies(truth,x) != x,
inference(cnf,[status(esa)],[prove_wajsberg_axiom]) ).
cnf(l0,plain,
implies(truth,x) != x,
inference(instantiation,[status(thm)],[13]) ).
cnf(0,plain,
not(X0) = xor(X0,truth),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l15,plain,
not(and_star(truth,xor(truth,x))) = xor(and_star(truth,xor(truth,x)),truth),
inference(instantiation,[status(thm)],[0]) ).
cnf(8,plain,
xor(X0,X1) = xor(X1,X0),
inference(cnf,[status(esa)],[xor_commutativity]) ).
cnf(l10,plain,
xor(truth,and_star(truth,xor(truth,x))) = xor(and_star(truth,xor(truth,x)),truth),
inference(instantiation,[status(thm)],[8]) ).
cnf(6,plain,
xor(X0,xor(truth,X1)) = xor(xor(X0,truth),X1),
inference(cnf,[status(esa)],[axiom_7]) ).
cnf(l19,plain,
xor(truth,xor(truth,x)) = xor(xor(truth,truth),x),
inference(instantiation,[status(thm)],[6]) ).
cnf(12,plain,
implies(X0,X1) = xor(truth,and_star(X0,xor(truth,X1))),
inference(cnf,[status(esa)],[implies_definition]) ).
cnf(l9,plain,
implies(truth,x) = xor(truth,and_star(truth,xor(truth,x))),
inference(instantiation,[status(thm)],[12]) ).
cnf(l22,plain,
not(xor(truth,x)) = xor(xor(truth,x),truth),
inference(instantiation,[status(thm)],[0]) ).
cnf(l23,plain,
xor(xor(truth,x),truth) = xor(truth,xor(truth,x)),
inference(instantiation,[status(thm)],[8]) ).
cnf(3,plain,
and_star(X0,truth) = X0,
inference(cnf,[status(esa)],[axiom_4]) ).
cnf(l8,plain,
and_star(xor(truth,x),truth) = xor(truth,x),
inference(instantiation,[status(thm)],[3]) ).
cnf(10,plain,
and_star(X0,X1) = and_star(X1,X0),
inference(cnf,[status(esa)],[and_star_commutativity]) ).
cnf(l12,plain,
and_star(truth,xor(truth,x)) = and_star(xor(truth,x),truth),
inference(instantiation,[status(thm)],[10]) ).
cnf(l31,plain,
xor(falsehood,x) = xor(x,falsehood),
inference(instantiation,[status(thm)],[8]) ).
cnf(2,plain,
xor(X0,X0) = falsehood,
inference(cnf,[status(esa)],[axiom_3]) ).
cnf(l25,plain,
xor(truth,truth) = falsehood,
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
xor(X0,falsehood) = X0,
inference(cnf,[status(esa)],[axiom_2]) ).
cnf(l30,plain,
xor(x,falsehood) = x,
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l15,l10,l19,l9,l22,l23,l8,l12,l31,l25,l30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL161-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 08:54:01 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % launching worker at depth: 1
% 0.08/0.35 % launching worker at depth: 7
% 0.08/0.35 % launching worker at depth: 2
% 0.08/0.35 % launching worker at depth: 4
% 0.08/0.35 % launching worker at depth: 5
% 0.08/0.35 % launching worker at depth: 6
% 0.08/0.35 % launching worker at depth: 8
% 0.08/0.35 % launching worker at depth: 3
% 0.08/0.35 % launching worker at depth: 9
% 0.08/0.35 % launching worker at depth: 10
% 0.13/0.37 % launching worker at depth: 11
% 7.53/1.37 % launching worker at depth: 12
% 64.72/8.57 % SZS status Theorem for theBenchmark
% 64.72/8.57 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------