TSTP Solution File: ANA045-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ANA045-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 19:14:54 EDT 2022
% Result : Unsatisfiable 12.54s 12.73s
% Output : CNFRefutation 12.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 13 unt; 0 nHn; 21 RR)
% Number of literals : 42 ( 5 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 13 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
| c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a) ) ).
cnf(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0,axiom,
( ~ class_OrderedGroup_Omonoid__mult(T_a)
| c_times(c_1,V_y,T_a) = V_y ) ).
cnf(clsrel_Ring__and__Field_Ocomm__ring__1_24,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(T)
| class_OrderedGroup_Omonoid__mult(T) ) ).
cnf(clsrel_Ring__and__Field_Olordered__ring_24,axiom,
( ~ class_Ring__and__Field_Olordered__ring(T)
| class_OrderedGroup_Olordered__ab__group__abs(T) ) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_0,axiom,
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_Ring__and__Field_Ocomm__ring__1(T) ) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_48,axiom,
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_Ring__and__Field_Olordered__ring(T) ) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_0,c_times(V_U,c_HOL_Oabs(v_g(v_x(V_U)),t_b),t_b),t_b) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b) ).
cnf(refute_0_0,plain,
~ c_lessequals(c_0,c_times(c_1,c_HOL_Oabs(v_g(v_x(c_1)),t_b),t_b),t_b),
inference(subst,[],[cls_conjecture_0:[bind(V_U,$fot(c_1))]]) ).
cnf(refute_0_1,plain,
( ~ class_Ring__and__Field_Ocomm__ring__1(t_b)
| class_OrderedGroup_Omonoid__mult(t_b) ),
inference(subst,[],[clsrel_Ring__and__Field_Ocomm__ring__1_24:[bind(T,$fot(t_b))]]) ).
cnf(refute_0_2,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_Ring__and__Field_Ocomm__ring__1(t_b) ),
inference(subst,[],[clsrel_Ring__and__Field_Oordered__idom_0:[bind(T,$fot(t_b))]]) ).
cnf(refute_0_3,plain,
class_Ring__and__Field_Ocomm__ring__1(t_b),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__idom(t_b) )],[tfree_tcs,refute_0_2]) ).
cnf(refute_0_4,plain,
class_OrderedGroup_Omonoid__mult(t_b),
inference(resolve,[$cnf( class_Ring__and__Field_Ocomm__ring__1(t_b) )],[refute_0_3,refute_0_1]) ).
cnf(refute_0_5,plain,
( ~ class_OrderedGroup_Omonoid__mult(t_b)
| c_times(c_1,X_1595,t_b) = X_1595 ),
inference(subst,[],[cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0:[bind(T_a,$fot(t_b)),bind(V_y,$fot(X_1595))]]) ).
cnf(refute_0_6,plain,
c_times(c_1,X_1595,t_b) = X_1595,
inference(resolve,[$cnf( class_OrderedGroup_Omonoid__mult(t_b) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
c_times(c_1,c_HOL_Oabs(v_g(v_x(c_1)),t_b),t_b) = c_HOL_Oabs(v_g(v_x(c_1)),t_b),
inference(subst,[],[refute_0_6:[bind(X_1595,$fot(c_HOL_Oabs(v_g(v_x(c_1)),t_b)))]]) ).
cnf(refute_0_8,plain,
( c_times(c_1,c_HOL_Oabs(v_g(v_x(c_1)),t_b),t_b) != c_HOL_Oabs(v_g(v_x(c_1)),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_g(v_x(c_1)),t_b),t_b)
| c_lessequals(c_0,c_times(c_1,c_HOL_Oabs(v_g(v_x(c_1)),t_b),t_b),t_b) ),
introduced(tautology,[equality,[$cnf( ~ c_lessequals(c_0,c_times(c_1,c_HOL_Oabs(v_g(v_x(c_1)),t_b),t_b),t_b) ),[1],$fot(c_HOL_Oabs(v_g(v_x(c_1)),t_b))]]) ).
cnf(refute_0_9,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_g(v_x(c_1)),t_b),t_b)
| c_lessequals(c_0,c_times(c_1,c_HOL_Oabs(v_g(v_x(c_1)),t_b),t_b),t_b) ),
inference(resolve,[$cnf( $equal(c_times(c_1,c_HOL_Oabs(v_g(v_x(c_1)),t_b),t_b),c_HOL_Oabs(v_g(v_x(c_1)),t_b)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
~ c_lessequals(c_0,c_HOL_Oabs(v_g(v_x(c_1)),t_b),t_b),
inference(resolve,[$cnf( c_lessequals(c_0,c_times(c_1,c_HOL_Oabs(v_g(v_x(c_1)),t_b),t_b),t_b) )],[refute_0_9,refute_0_0]) ).
cnf(refute_0_11,plain,
( ~ class_Ring__and__Field_Olordered__ring(t_b)
| class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(subst,[],[clsrel_Ring__and__Field_Olordered__ring_24:[bind(T,$fot(t_b))]]) ).
cnf(refute_0_12,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_Ring__and__Field_Olordered__ring(t_b) ),
inference(subst,[],[clsrel_Ring__and__Field_Oordered__idom_48:[bind(T,$fot(t_b))]]) ).
cnf(refute_0_13,plain,
class_Ring__and__Field_Olordered__ring(t_b),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__idom(t_b) )],[tfree_tcs,refute_0_12]) ).
cnf(refute_0_14,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolve,[$cnf( class_Ring__and__Field_Olordered__ring(t_b) )],[refute_0_13,refute_0_11]) ).
cnf(refute_0_15,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_lessequals(c_0,c_HOL_Oabs(X_1567,t_b),t_b) ),
inference(subst,[],[cls_OrderedGroup_Oabs__ge__zero_0:[bind(T_a,$fot(t_b)),bind(V_a,$fot(X_1567))]]) ).
cnf(refute_0_16,plain,
c_lessequals(c_0,c_HOL_Oabs(X_1567,t_b),t_b),
inference(resolve,[$cnf( class_OrderedGroup_Olordered__ab__group__abs(t_b) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
c_lessequals(c_0,c_HOL_Oabs(v_g(v_x(c_1)),t_b),t_b),
inference(subst,[],[refute_0_16:[bind(X_1567,$fot(v_g(v_x(c_1))))]]) ).
cnf(refute_0_18,plain,
$false,
inference(resolve,[$cnf( c_lessequals(c_0,c_HOL_Oabs(v_g(v_x(c_1)),t_b),t_b) )],[refute_0_17,refute_0_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ANA045-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n017.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 02:13:00 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 12.54/12.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.54/12.73
% 12.54/12.73 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.54/12.74
%------------------------------------------------------------------------------