%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV678-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 : Fri Jul 25 04:47:30 PM UTC 2025
% Result : Unsatisfiable 21.72s 3.03s
% Output : CNFRefutation 21.72s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named tfree_tcs)
% Comments :
%------------------------------------------------------------------------------
cnf(640,plain,
class_Ring__and__Field_Ofield(t_a),
inference(cnf,[status(esa)],[tfree_tcs]) ).
cnf(l0,plain,
class_Ring__and__Field_Ofield(t_a),
inference(instantiation,[status(thm)],[640]) ).
cnf(602,plain,
( ~ c_lessequals(X0,X1,tc_nat)
| ~ class_Ring__and__Field_Ofield(X2)
| X3 = c_HOL_Ozero__class_Ozero(X2)
| c_Power_Opower__class_Opower(X3,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X3,X1,X2),c_Power_Opower__class_Opower(X3,X0,X2),X2) ),
inference(cnf,[status(esa)],[cls_power__diff_0]) ).
cnf(l1,plain,
( ~ c_lessequals(v_n,v_m,tc_nat)
| ~ class_Ring__and__Field_Ofield(t_a)
| v_a = c_HOL_Ozero__class_Ozero(t_a)
| c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) ),
inference(instantiation,[status(thm)],[602]) ).
cnf(642,plain,
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)
| ~ c_lessequals(v_n,v_m,tc_nat) ),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l23,plain,
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)
| ~ c_lessequals(v_n,v_m,tc_nat) ),
inference(instantiation,[status(thm)],[642]) ).
cnf(612,plain,
c_lessequals(v_n,v_m,tc_nat),
inference(cnf,[status(esa)],[cls_True_0]) ).
cnf(l33,plain,
c_lessequals(v_n,v_m,tc_nat),
inference(instantiation,[status(thm)],[612]) ).
cnf(639,plain,
( v_a != c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a) ),
inference(cnf,[status(esa)],[cls_CHAINED_0_01]) ).
cnf(l5,plain,
( v_a != c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a) ),
inference(instantiation,[status(thm)],[639]) ).
cnf(l2,plain,
c_lessequals(v_n,v_m,tc_nat),
inference(instantiation,[status(thm)],[612]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l23,l33,l5,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SWV678-1 : TPTP v9.0.0. Released v4.1.0.
% 0.04/0.07 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.26 % Computer : n020.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue Jul 22 11:31:04 EDT 2025
% 0.06/0.26 % CPUTime :
% 0.06/0.28 % launching worker at depth: 5
% 0.06/0.28 % launching worker at depth: 1
% 0.06/0.28 % launching worker at depth: 4
% 0.06/0.28 % launching worker at depth: 3
% 0.06/0.28 % launching worker at depth: 2
% 0.06/0.28 % launching worker at depth: 6
% 0.06/0.28 % launching worker at depth: 7
% 0.06/0.28 % launching worker at depth: 8
% 0.06/0.30 % launching worker at depth: 9
% 0.11/0.43 % launching worker at depth: 10
% 21.72/3.03 % SZS status Theorem for theBenchmark
% 21.72/3.03 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------