TSTP Solution File: ANA025-2 by PyRes---1.3
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%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : ANA025-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 19:22:50 EDT 2022
% Result : Unsatisfiable 2.55s 2.76s
% Output : Refutation 2.55s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
input ).
cnf(clsrel_LOrder_Ojoin__semilorder_1,axiom,
( ~ class_LOrder_Ojoin__semilorder(X2)
| class_Orderings_Oorder(X2) ),
input ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_15,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X3)
| class_LOrder_Ojoin__semilorder(X3) ),
input ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
input ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X7)
| class_OrderedGroup_Olordered__ab__group__abs(X7) ),
input ).
cnf(c1,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,status(thm),[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).
cnf(c3,plain,
class_LOrder_Ojoin__semilorder(t_b),
inference(resolution,status(thm),[c1,clsrel_OrderedGroup_Olordered__ab__group__abs_15]) ).
cnf(c4,plain,
class_Orderings_Oorder(t_b),
inference(resolution,status(thm),[c3,clsrel_LOrder_Ojoin__semilorder_1]) ).
cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
( ~ class_Orderings_Oorder(X16)
| ~ c_less(X14,X15,X16)
| c_lessequals(X14,X15,X16) ),
input ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
input ).
cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X6)
| c_lessequals(c_0,c_HOL_Oabs(X5,X6),X6) ),
input ).
cnf(c2,plain,
c_lessequals(c_0,c_HOL_Oabs(X8,t_b),t_b),
inference(resolution,status(thm),[c1,cls_OrderedGroup_Oabs__ge__zero_0]) ).
cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
( ~ class_Orderings_Oorder(X28)
| ~ c_lessequals(X27,X26,X28)
| ~ c_lessequals(X29,X27,X28)
| c_lessequals(X29,X26,X28) ),
input ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X4)
| class_Orderings_Olinorder(X4) ),
input ).
cnf(c0,plain,
class_Orderings_Olinorder(t_b),
inference(resolution,status(thm),[clsrel_Ring__and__Field_Oordered__idom_33,tfree_tcs]) ).
cnf(cls_Orderings_Olinorder__not__le_0,axiom,
( ~ class_Orderings_Olinorder(X11)
| c_less(X10,X9,X11)
| c_lessequals(X9,X10,X11) ),
input ).
cnf(c5,plain,
( c_less(X12,X13,t_b)
| c_lessequals(X13,X12,t_b) ),
inference(resolution,status(thm),[cls_Orderings_Olinorder__not__le_0,c0]) ).
cnf(c6,plain,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(X17,X18,t_b)
| c_lessequals(X18,X17,t_b) ),
inference(resolution,status(thm),[cls_Orderings_Oorder__less__imp__le_0,c5]) ).
cnf(c7,plain,
( c_lessequals(X19,X20,t_b)
| c_lessequals(X20,X19,t_b) ),
inference(resolution,status(thm),[c6,c4]) ).
cnf(c8,plain,
c_lessequals(X21,X21,t_b),
inference(factor,status(thm),[c7]) ).
cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,axiom,
( ~ class_Orderings_Olinorder(X22)
| ~ c_lessequals(X23,X25,X22)
| ~ c_lessequals(X24,X25,X22)
| c_lessequals(c_Orderings_Omax(X24,X23,X22),X25,X22) ),
input ).
cnf(c10,plain,
( ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(X47,X48,t_b)
| c_lessequals(c_Orderings_Omax(X49,X47,t_b),X48,t_b)
| c_less(X48,X49,t_b) ),
inference(resolution,status(thm),[cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,c5]) ).
cnf(c63,plain,
( ~ class_Orderings_Olinorder(t_b)
| c_lessequals(c_Orderings_Omax(X80,X79,t_b),X79,t_b)
| c_less(X79,X80,t_b) ),
inference(resolution,status(thm),[c10,c8]) ).
cnf(c140,plain,
( c_lessequals(c_Orderings_Omax(X82,X81,t_b),X81,t_b)
| c_less(X81,X82,t_b) ),
inference(resolution,status(thm),[c63,c0]) ).
cnf(c145,plain,
( c_less(X533,X532,t_b)
| ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(X533,X531,t_b)
| c_lessequals(c_Orderings_Omax(X532,X533,t_b),X531,t_b) ),
inference(resolution,status(thm),[c140,cls_Orderings_Oorder__class_Oorder__trans_0]) ).
cnf(c2801,plain,
( c_less(c_0,X1063,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_Orderings_Omax(X1063,c_0,t_b),c_HOL_Oabs(X1062,t_b),t_b) ),
inference(resolution,status(thm),[c145,c2]) ).
cnf(c7361,plain,
( c_less(c_0,X1065,t_b)
| c_lessequals(c_Orderings_Omax(X1065,c_0,t_b),c_HOL_Oabs(X1064,t_b),t_b) ),
inference(resolution,status(thm),[c2801,c4]) ).
cnf(c7384,plain,
c_less(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(resolution,status(thm),[c7361,cls_conjecture_3]) ).
cnf(c7398,plain,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b) ),
inference(resolution,status(thm),[c7384,cls_Orderings_Oorder__less__imp__le_0]) ).
cnf(c7399,plain,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(resolution,status(thm),[c7398,c4]) ).
cnf(c7431,plain,
$false,
inference(resolution,status(thm),[c7399,cls_conjecture_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ANA025-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.33 % Computer : n013.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Fri Jul 8 06:34:29 EDT 2022
% 0.14/0.34 % CPUTime :
% 2.55/2.76 # Version: 1.3
% 2.55/2.76 # SZS status Unsatisfiable
% 2.55/2.76 # SZS output start CNFRefutation
% See solution above
% 2.55/2.76
% 2.55/2.76 # Initial clauses : 12
% 2.55/2.76 # Processed clauses : 337
% 2.55/2.76 # Factors computed : 44
% 2.55/2.76 # Resolvents computed: 7390
% 2.55/2.76 # Tautologies deleted: 1
% 2.55/2.76 # Forward subsumed : 185
% 2.55/2.76 # Backward subsumed : 114
% 2.55/2.76 # -------- CPU Time ---------
% 2.55/2.76 # User time : 2.400 s
% 2.55/2.76 # System time : 0.023 s
% 2.55/2.76 # Total time : 2.423 s
%------------------------------------------------------------------------------