TSTP Solution File: ANA027-2 by PyRes---1.5
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%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : ANA027-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 May 9 17:15:30 EDT 2024
% Result : Unsatisfiable 185.80s 186.05s
% Output : Refutation 185.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of clauses : 39 ( 18 unt; 0 nHn; 35 RR)
% Number of literals : 74 ( 21 equ; 36 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 43 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X4)
| class_OrderedGroup_Opordered__ab__group__add(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_OrderedGroup_Olordered__ab__group__abs(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(c13,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).
cnf(c14,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(resolution,[status(thm)],[c13,clsrel_OrderedGroup_Olordered__ab__group__abs_1]) ).
cnf(cls_OrderedGroup_Ocompare__rls__9_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X41)
| ~ c_lessequals(c_plus(X42,X43,X41),X44,X41)
| c_lessequals(X42,c_minus(X44,X43,X41),X41) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(symmetry,axiom,
( X8 != X9
| X9 = X8 ),
theory(equality) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_23,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X6)
| class_OrderedGroup_Ocomm__monoid__add(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
cnf(c12,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(resolution,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_23,tfree_tcs]) ).
cnf(cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X20)
| c_plus(c_0,X21,X20) = X21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
cnf(c21,plain,
c_plus(c_0,X35,t_b) = X35,
inference(resolution,[status(thm)],[cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,c12]) ).
cnf(c27,plain,
X36 = c_plus(c_0,X36,t_b),
inference(resolution,[status(thm)],[c21,symmetry]) ).
cnf(c5,axiom,
( X85 != X82
| X83 != X84
| X81 != X80
| ~ c_lessequals(X85,X83,X81)
| c_lessequals(X82,X84,X80) ),
theory(equality) ).
cnf(clsrel_LOrder_Ojoin__semilorder_1,axiom,
( ~ class_LOrder_Ojoin__semilorder(X3)
| class_Orderings_Oorder(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_15,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X5)
| class_LOrder_Ojoin__semilorder(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
cnf(c15,plain,
class_LOrder_Ojoin__semilorder(t_b),
inference(resolution,[status(thm)],[c13,clsrel_OrderedGroup_Olordered__ab__group__abs_15]) ).
cnf(c16,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[status(thm)],[c15,clsrel_LOrder_Ojoin__semilorder_1]) ).
cnf(cls_conjecture_2,negated_conjecture,
c_lessequals(v_g(v_x),v_k(v_x),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
( ~ class_Orderings_Oorder(X53)
| ~ c_lessequals(X55,X54,X53)
| ~ c_lessequals(X56,X55,X53)
| c_lessequals(X56,X54,X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(c52,plain,
( ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(v_k(v_x),X111,t_b)
| c_lessequals(v_g(v_x),X111,t_b) ),
inference(resolution,[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0,cls_conjecture_2]) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_OrderedGroup_Ocompare__rls__9_0,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X30)
| ~ c_lessequals(X31,c_minus(X33,X32,X30),X30)
| c_lessequals(c_plus(X31,X32,X30),X33,X30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).
cnf(c25,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_plus(c_0,v_k(v_x),t_b),v_f(v_x),t_b) ),
inference(resolution,[status(thm)],[cls_OrderedGroup_Ocompare__rls__9_0,cls_conjecture_1]) ).
cnf(c81,plain,
c_lessequals(c_plus(c_0,v_k(v_x),t_b),v_f(v_x),t_b),
inference(resolution,[status(thm)],[c25,c14]) ).
cnf(c436,plain,
( c_plus(c_0,v_k(v_x),t_b) != X2111
| v_f(v_x) != X2113
| t_b != X2112
| c_lessequals(X2111,X2113,X2112) ),
inference(resolution,[status(thm)],[c81,c5]) ).
cnf(c43077,plain,
( v_f(v_x) != X2115
| t_b != X2114
| c_lessequals(v_k(v_x),X2115,X2114) ),
inference(resolution,[status(thm)],[c436,c21]) ).
cnf(c43099,plain,
( t_b != X2116
| c_lessequals(v_k(v_x),v_f(v_x),X2116) ),
inference(resolution,[status(thm)],[c43077,reflexivity]) ).
cnf(c43109,plain,
c_lessequals(v_k(v_x),v_f(v_x),t_b),
inference(resolution,[status(thm)],[c43099,reflexivity]) ).
cnf(c43111,plain,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(v_g(v_x),v_f(v_x),t_b) ),
inference(resolution,[status(thm)],[c43109,c52]) ).
cnf(c43114,plain,
c_lessequals(v_g(v_x),v_f(v_x),t_b),
inference(resolution,[status(thm)],[c43111,c16]) ).
cnf(c43115,plain,
( v_g(v_x) != X6439
| v_f(v_x) != X6441
| t_b != X6440
| c_lessequals(X6439,X6441,X6440) ),
inference(resolution,[status(thm)],[c43114,c5]) ).
cnf(c271965,plain,
( v_g(v_x) != X6445
| t_b != X6444
| c_lessequals(X6445,v_f(v_x),X6444) ),
inference(resolution,[status(thm)],[c43115,reflexivity]) ).
cnf(c272403,plain,
( t_b != X6447
| c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_f(v_x),X6447) ),
inference(resolution,[status(thm)],[c271965,c27]) ).
cnf(c272442,plain,
c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_f(v_x),t_b),
inference(resolution,[status(thm)],[c272403,reflexivity]) ).
cnf(c272862,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) ),
inference(resolution,[status(thm)],[c272442,cls_OrderedGroup_Ocompare__rls__9_1]) ).
cnf(c272884,plain,
c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(resolution,[status(thm)],[c272862,c14]) ).
cnf(c272886,plain,
$false,
inference(resolution,[status(thm)],[c272884,cls_conjecture_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ANA027-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 17:23:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 185.80/186.05 % Version: 1.5
% 185.80/186.05 % SZS status Unsatisfiable
% 185.80/186.05 % SZS output start CNFRefutation
% See solution above
% 185.80/186.05
% 185.80/186.05 % Initial clauses : 28
% 185.80/186.05 % Processed clauses : 2631
% 185.80/186.05 % Factors computed : 62
% 185.80/186.05 % Resolvents computed: 273229
% 185.80/186.05 % Tautologies deleted: 9
% 185.80/186.05 % Forward subsumed : 1230
% 185.80/186.05 % Backward subsumed : 368
% 185.80/186.05 % -------- CPU Time ---------
% 185.80/186.05 % User time : 185.035 s
% 185.80/186.05 % System time : 0.659 s
% 185.80/186.05 % Total time : 185.694 s
%------------------------------------------------------------------------------