%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL143-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 12:13:14 PM UTC 2026
% Result : Unsatisfiable 191.22s 24.46s
% Output : CNFRefutation 191.22s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named antecedentERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(8,plain,
ordered(x,y),
inference(cnf,[status(esa)],[antecedent]) ).
cnf(l0,plain,
ordered(x,y),
inference(instantiation,[status(thm)],[8]) ).
cnf(6,plain,
( ~ ordered(X0,X1)
| implies(X0,X1) = truth ),
inference(cnf,[status(esa)],[partial_order_definition1]) ).
cnf(l1,plain,
( ~ ordered(x,y)
| implies(x,y) = truth ),
inference(instantiation,[status(thm)],[6]) ).
cnf(7,plain,
( implies(X0,X1) != truth
| ordered(X0,X1) ),
inference(cnf,[status(esa)],[partial_order_definition2]) ).
cnf(l75,plain,
( implies(implies(implies(truth,z),x),implies(implies(x,y),implies(implies(truth,z),y))) != truth
| ordered(implies(implies(truth,z),x),implies(implies(x,y),implies(implies(truth,z),y))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(9,plain,
~ ordered(implies(z,x),implies(z,y)),
inference(cnf,[status(esa)],[prove_wajsberg_theorem]) ).
cnf(l89,plain,
~ ordered(implies(z,x),implies(z,y)),
inference(instantiation,[status(thm)],[9]) ).
cnf(1,plain,
implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
inference(cnf,[status(esa)],[wajsberg_2]) ).
cnf(l83,plain,
implies(implies(implies(truth,z),x),implies(implies(x,y),implies(implies(truth,z),y))) = truth,
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
implies(truth,X0) = X0,
inference(cnf,[status(esa)],[wajsberg_1]) ).
cnf(l87,plain,
implies(truth,implies(z,y)) = implies(z,y),
inference(instantiation,[status(thm)],[0]) ).
cnf(l76,plain,
implies(truth,z) = z,
inference(instantiation,[status(thm)],[0]) ).
cnf(l48,plain,
implies(truth,z) = z,
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l75,l89,l83,l87,l76,l48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL143-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 4 23:45:23 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % launching worker at depth: 1
% 0.11/0.37 % launching worker at depth: 8
% 0.11/0.37 % launching worker at depth: 3
% 0.11/0.37 % launching worker at depth: 4
% 0.11/0.37 % launching worker at depth: 5
% 0.11/0.37 % launching worker at depth: 6
% 0.11/0.37 % launching worker at depth: 7
% 0.11/0.37 % launching worker at depth: 2
% 0.11/0.37 % launching worker at depth: 9
% 0.11/0.37 % launching worker at depth: 10
% 0.11/0.39 % launching worker at depth: 11
% 80.69/10.52 % launching worker at depth: 12
% 191.22/24.46 % SZS status Theorem for theBenchmark
% 191.22/24.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------