%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL173-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 12:13:17 PM UTC 2026
% Result : Unsatisfiable 2.63s 0.74s
% Output : CNFRefutation 2.63s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_thisERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(8,plain,
~ theorem(implies(implies(q,r),implies(implies(p,q),implies(p,r)))),
inference(cnf,[status(esa)],[prove_this]) ).
cnf(l0,plain,
~ theorem(implies(implies(q,r),implies(implies(p,q),implies(p,r)))),
inference(instantiation,[status(thm)],[8]) ).
cnf(6,plain,
( ~ axiom(X0)
| theorem(X0) ),
inference(cnf,[status(esa)],[rule_1]) ).
cnf(l3,plain,
( ~ axiom(implies(implies(q,r),implies(or(not(p),q),or(not(p),r))))
| theorem(implies(implies(q,r),implies(or(not(p),q),or(not(p),r)))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(5,plain,
implies(X0,X1) = or(not(X0),X1),
inference(cnf,[status(esa)],[implies_definition]) ).
cnf(l27,plain,
implies(p,q) = or(not(p),q),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(cnf,[status(esa)],[axiom_1_6]) ).
cnf(l8,plain,
axiom(implies(implies(q,r),implies(or(not(p),q),or(not(p),r)))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l28,plain,
implies(p,r) = or(not(p),r),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l27,l8,l28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL173-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 5 03:35:20 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % launching worker at depth: 1
% 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: 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: 8
% 0.11/0.37 % launching worker at depth: 3
% 0.11/0.38 % launching worker at depth: 9
% 0.11/0.38 % launching worker at depth: 10
% 0.11/0.38 % launching worker at depth: 11
% 0.11/0.46 % launching worker at depth: 12
% 2.63/0.74 % SZS status Theorem for theBenchmark
% 2.63/0.74 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------