%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL431-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 12:13:47 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.35s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_1ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l0,plain,
~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( ~ c_PropLog_Osat(c_emptyset,X0,X1)
| c_in(X0,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X0,X2,X1),c_PropLog_Ohyps(X0,X3,X1),tc_set(tc_PropLog_Opl(X1))),X1),tc_PropLog_Opl(X1)) ),
inference(cnf,[status(esa)],[cls_PropLog_Ocompleteness__0__lemma__dest_0]) ).
cnf(l16,plain,
( ~ c_PropLog_Osat(c_emptyset,v_p,t_a)
| c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X3_16,t_a),c_PropLog_Ohyps(v_p,X3_16,t_a),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
c_PropLog_Osat(c_emptyset,v_p,t_a),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l17,plain,
c_PropLog_Osat(c_emptyset,v_p,t_a),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
c_minus(X0,X0,tc_set(X1)) = c_emptyset,
inference(cnf,[status(esa)],[cls_Set_ODiff__cancel_0]) ).
cnf(l15,plain,
c_minus(c_PropLog_Ohyps(v_p,X3_16,t_a),c_PropLog_Ohyps(v_p,X3_16,t_a),tc_set(tc_PropLog_Opl(t_a))) = c_emptyset,
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l16,l17,l15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL431-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n028.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Fri Sep 4 17:25:28 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % launching worker at depth: 1
% 0.08/0.35 % launching worker at depth: 2
% 0.08/0.35 % launching worker at depth: 3
% 0.08/0.35 % launching worker at depth: 4
% 0.08/0.35 % launching worker at depth: 8
% 0.08/0.35 % launching worker at depth: 5
% 0.08/0.35 % launching worker at depth: 7
% 0.08/0.35 % launching worker at depth: 6
% 0.08/0.35 % launching worker at depth: 9
% 0.08/0.35 % launching worker at depth: 10
% 0.08/0.35 % SZS status Theorem for theBenchmark
% 0.08/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------