%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ANA021-2 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 09:50:30 AM UTC 2025
% Result : Unsatisfiable 167.97s 21.41s
% Output : CNFRefutation 167.97s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_2)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
c_lessequals(c_HOL_Oabs(v_f(c_Suc(X0)),t_a),c_times(v_c,c_HOL_Oabs(v_h(c_Suc(X0)),t_a),t_a),t_a),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l0,plain,
c_lessequals(c_HOL_Oabs(v_f(c_Suc(c_minus(v_x,c_1,tc_nat))),t_a),c_times(v_c,c_HOL_Oabs(v_h(c_Suc(c_minus(v_x,c_1,tc_nat))),t_a),t_a),t_a),
inference(instantiation,[status(thm)],[2]) ).
cnf(4,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
inference(cnf,[status(esa)],[cls_conjecture_4]) ).
cnf(l4,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
inference(instantiation,[status(thm)],[4]) ).
cnf(0,plain,
( ~ c_less(c_0,X0,tc_nat)
| X0 = c_Suc(c_minus(X0,c_1,tc_nat)) ),
inference(cnf,[status(esa)],[cls_NatBin_OSuc__pred_H_0]) ).
cnf(l437,plain,
( ~ c_less(c_0,v_x,tc_nat)
| v_x = c_Suc(c_minus(v_x,c_1,tc_nat)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l584,plain,
( ~ c_less(c_0,v_x,tc_nat)
| v_x = c_Suc(c_minus(v_x,c_1,tc_nat)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
( c_less(c_0,X0,tc_nat)
| X0 = c_0 ),
inference(cnf,[status(esa)],[cls_Nat_Onot__gr0_0]) ).
cnf(l2092,plain,
( c_less(c_0,v_x,tc_nat)
| v_x = c_0 ),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
v_x != c_0,
inference(cnf,[status(esa)],[cls_conjecture_3]) ).
cnf(l2095,plain,
v_x != c_0,
inference(instantiation,[status(thm)],[3]) ).
cnf(l610,plain,
( c_less(c_0,v_x,tc_nat)
| v_x = c_0 ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l641,plain,
v_x != c_0,
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l437,l584,l2092,l2095,l610,l641]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : ANA021-2 : TPTP v9.0.0. Released v3.2.0.
% 0.02/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.28 % Computer : n023.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sun Jul 20 03:52:04 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % launching worker at depth: 3
% 0.08/0.29 % launching worker at depth: 5
% 0.08/0.29 % launching worker at depth: 6
% 0.08/0.29 % launching worker at depth: 4
% 0.08/0.29 % launching worker at depth: 7
% 0.08/0.29 % launching worker at depth: 8
% 0.08/0.29 % launching worker at depth: 2
% 0.08/0.29 % launching worker at depth: 1
% 0.08/0.29 % launching worker at depth: 9
% 0.08/0.29 % launching worker at depth: 10
% 0.08/0.30 % launching worker at depth: 11
% 0.14/0.40 % launching worker at depth: 12
% 7.16/1.21 % launching worker at depth: 13
% 67.65/8.84 % launching worker at depth: 14
% 167.97/21.41 % SZS status Theorem for theBenchmark
% 167.97/21.41 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------