%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ANA012-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.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 : 600s
% DateTime : Thu Jul 14 19:14:31 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 34 ( 13 unt; 5 nHn; 28 RR)
% Number of literals : 63 ( 27 equ; 27 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
v_c != c_0 ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_1,c_times(V_U,c_HOL_Oabs(v_c,t_a),t_a),t_a) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a) ).
cnf(cls_OrderedGroup_Oabs__eq__0_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
| c_HOL_Oabs(V_a,T_a) != c_0
| V_a = c_0 ) ).
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( ~ class_Orderings_Oorder(T_a)
| c_lessequals(V_x,V_x,T_a) ) ).
cnf(cls_Ring__and__Field_Ofield__class_Oaxioms__1_0,axiom,
( ~ class_Ring__and__Field_Ofield(T_a)
| V_a = c_0
| c_times(c_HOL_Oinverse(V_a,T_a),V_a,T_a) = c_1 ) ).
cnf(clsrel_Ring__and__Field_Oordered__field_0,axiom,
( ~ class_Ring__and__Field_Oordered__field(T)
| class_Ring__and__Field_Ofield(T) ) ).
cnf(clsrel_Ring__and__Field_Oordered__field_47,axiom,
( ~ class_Ring__and__Field_Oordered__field(T)
| class_OrderedGroup_Olordered__ab__group__abs(T) ) ).
cnf(clsrel_Ring__and__Field_Oordered__field_58,axiom,
( ~ class_Ring__and__Field_Oordered__field(T)
| class_Orderings_Oorder(T) ) ).
cnf(refute_0_0,plain,
( c_HOL_Oabs(v_c,t_a) != c_0
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| v_c = c_0 ),
inference(subst,[],[cls_OrderedGroup_Oabs__eq__0_0:[bind(T_a,$fot(t_a)),bind(V_a,$fot(v_c))]]) ).
cnf(refute_0_1,plain,
~ c_lessequals(c_1,c_times(c_HOL_Oinverse(c_HOL_Oabs(v_c,t_a),t_a),c_HOL_Oabs(v_c,t_a),t_a),t_a),
inference(subst,[],[cls_conjecture_1:[bind(V_U,$fot(c_HOL_Oinverse(c_HOL_Oabs(v_c,t_a),t_a)))]]) ).
cnf(refute_0_2,plain,
( ~ class_Ring__and__Field_Oordered__field(t_a)
| class_Ring__and__Field_Ofield(t_a) ),
inference(subst,[],[clsrel_Ring__and__Field_Oordered__field_0:[bind(T,$fot(t_a))]]) ).
cnf(refute_0_3,plain,
class_Ring__and__Field_Ofield(t_a),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__field(t_a) )],[tfree_tcs,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| X_10 = c_0
| c_times(c_HOL_Oinverse(X_10,t_a),X_10,t_a) = c_1 ),
inference(subst,[],[cls_Ring__and__Field_Ofield__class_Oaxioms__1_0:[bind(T_a,$fot(t_a)),bind(V_a,$fot(X_10))]]) ).
cnf(refute_0_5,plain,
( X_10 = c_0
| c_times(c_HOL_Oinverse(X_10,t_a),X_10,t_a) = c_1 ),
inference(resolve,[$cnf( class_Ring__and__Field_Ofield(t_a) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( c_HOL_Oabs(v_c,t_a) = c_0
| c_times(c_HOL_Oinverse(c_HOL_Oabs(v_c,t_a),t_a),c_HOL_Oabs(v_c,t_a),t_a) = c_1 ),
inference(subst,[],[refute_0_5:[bind(X_10,$fot(c_HOL_Oabs(v_c,t_a)))]]) ).
cnf(refute_0_7,plain,
( c_times(c_HOL_Oinverse(c_HOL_Oabs(v_c,t_a),t_a),c_HOL_Oabs(v_c,t_a),t_a) != c_1
| ~ c_lessequals(c_1,c_1,t_a)
| c_lessequals(c_1,c_times(c_HOL_Oinverse(c_HOL_Oabs(v_c,t_a),t_a),c_HOL_Oabs(v_c,t_a),t_a),t_a) ),
introduced(tautology,[equality,[$cnf( ~ c_lessequals(c_1,c_times(c_HOL_Oinverse(c_HOL_Oabs(v_c,t_a),t_a),c_HOL_Oabs(v_c,t_a),t_a),t_a) ),[1],$fot(c_1)]]) ).
cnf(refute_0_8,plain,
( ~ c_lessequals(c_1,c_1,t_a)
| c_HOL_Oabs(v_c,t_a) = c_0
| c_lessequals(c_1,c_times(c_HOL_Oinverse(c_HOL_Oabs(v_c,t_a),t_a),c_HOL_Oabs(v_c,t_a),t_a),t_a) ),
inference(resolve,[$cnf( $equal(c_times(c_HOL_Oinverse(c_HOL_Oabs(v_c,t_a),t_a),c_HOL_Oabs(v_c,t_a),t_a),c_1) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ c_lessequals(c_1,c_1,t_a)
| c_HOL_Oabs(v_c,t_a) = c_0 ),
inference(resolve,[$cnf( c_lessequals(c_1,c_times(c_HOL_Oinverse(c_HOL_Oabs(v_c,t_a),t_a),c_HOL_Oabs(v_c,t_a),t_a),t_a) )],[refute_0_8,refute_0_1]) ).
cnf(refute_0_10,plain,
( ~ class_Ring__and__Field_Oordered__field(t_a)
| class_Orderings_Oorder(t_a) ),
inference(subst,[],[clsrel_Ring__and__Field_Oordered__field_58:[bind(T,$fot(t_a))]]) ).
cnf(refute_0_11,plain,
class_Orderings_Oorder(t_a),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__field(t_a) )],[tfree_tcs,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ class_Orderings_Oorder(t_a)
| c_lessequals(X_5,X_5,t_a) ),
inference(subst,[],[cls_Orderings_Oorder__class_Oaxioms__1_0:[bind(T_a,$fot(t_a)),bind(V_x,$fot(X_5))]]) ).
cnf(refute_0_13,plain,
c_lessequals(X_5,X_5,t_a),
inference(resolve,[$cnf( class_Orderings_Oorder(t_a) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
c_lessequals(c_1,c_1,t_a),
inference(subst,[],[refute_0_13:[bind(X_5,$fot(c_1))]]) ).
cnf(refute_0_15,plain,
c_HOL_Oabs(v_c,t_a) = c_0,
inference(resolve,[$cnf( c_lessequals(c_1,c_1,t_a) )],[refute_0_14,refute_0_9]) ).
cnf(refute_0_16,plain,
( c_0 != c_0
| c_HOL_Oabs(v_c,t_a) != c_0
| c_HOL_Oabs(v_c,t_a) = c_0 ),
introduced(tautology,[equality,[$cnf( $equal(c_HOL_Oabs(v_c,t_a),c_0) ),[1],$fot(c_0)]]) ).
cnf(refute_0_17,plain,
( c_0 != c_0
| c_HOL_Oabs(v_c,t_a) = c_0 ),
inference(resolve,[$cnf( $equal(c_HOL_Oabs(v_c,t_a),c_0) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( c_0 != c_0
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| v_c = c_0 ),
inference(resolve,[$cnf( $equal(c_HOL_Oabs(v_c,t_a),c_0) )],[refute_0_17,refute_0_0]) ).
cnf(refute_0_19,plain,
c_0 = c_0,
introduced(tautology,[refl,[$fot(c_0)]]) ).
cnf(refute_0_20,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| v_c = c_0 ),
inference(resolve,[$cnf( $equal(c_0,c_0) )],[refute_0_19,refute_0_18]) ).
cnf(refute_0_21,plain,
( ~ class_Ring__and__Field_Oordered__field(t_a)
| class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
inference(subst,[],[clsrel_Ring__and__Field_Oordered__field_47:[bind(T,$fot(t_a))]]) ).
cnf(refute_0_22,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__field(t_a) )],[tfree_tcs,refute_0_21]) ).
cnf(refute_0_23,plain,
v_c = c_0,
inference(resolve,[$cnf( class_OrderedGroup_Olordered__ab__group__abs(t_a) )],[refute_0_22,refute_0_20]) ).
cnf(refute_0_24,plain,
$false,
inference(resolve,[$cnf( $equal(v_c,c_0) )],[refute_0_23,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA012-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 03:37:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------