%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : ANA025-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 17:15:29 EDT 2024
% Result : Unsatisfiable 2.76s 2.92s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of clauses : 31 ( 12 unt; 10 nHn; 18 RR)
% Number of literals : 63 ( 0 equ; 24 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 42 ( 4 sgn)
% 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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(clsrel_LOrder_Ojoin__semilorder_1,axiom,
( ~ class_LOrder_Ojoin__semilorder(X2)
| class_Orderings_Oorder(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_15,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X3)
| class_LOrder_Ojoin__semilorder(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
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(c2,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)],[c2,clsrel_LOrder_Ojoin__semilorder_1]) ).
cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
( ~ class_Orderings_Oorder(X16)
| ~ c_less(X15,X14,X16)
| c_lessequals(X15,X14,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(c3,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(X34)
| ~ c_lessequals(X31,X33,X34)
| ~ c_lessequals(X32,X31,X34)
| c_lessequals(X32,X33,X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X4)
| class_Orderings_Olinorder(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
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(X9,X10,X11)
| c_lessequals(X10,X9,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
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(X23)
| ~ c_lessequals(X22,X25,X23)
| ~ c_lessequals(X24,X25,X23)
| c_lessequals(c_Orderings_Omax(X24,X22,X23),X25,X23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
cnf(c10,plain,
( ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(X49,X48,t_b)
| c_lessequals(c_Orderings_Omax(X50,X49,t_b),X48,t_b)
| c_less(X48,X50,t_b) ),
inference(resolution,[status(thm)],[cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,c5]) ).
cnf(c66,plain,
( ~ class_Orderings_Olinorder(t_b)
| c_lessequals(c_Orderings_Omax(X86,X85,t_b),X85,t_b)
| c_less(X85,X86,t_b) ),
inference(resolution,[status(thm)],[c10,c8]) ).
cnf(c156,plain,
( c_lessequals(c_Orderings_Omax(X87,X88,t_b),X88,t_b)
| c_less(X88,X87,t_b) ),
inference(resolution,[status(thm)],[c66,c0]) ).
cnf(c158,plain,
( c_less(X531,X532,t_b)
| ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(X531,X530,t_b)
| c_lessequals(c_Orderings_Omax(X532,X531,t_b),X530,t_b) ),
inference(resolution,[status(thm)],[c156,cls_Orderings_Oorder__class_Oorder__trans_0]) ).
cnf(c2935,plain,
( c_less(c_0,X1085,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_Orderings_Omax(X1085,c_0,t_b),c_HOL_Oabs(X1086,t_b),t_b) ),
inference(resolution,[status(thm)],[c158,c3]) ).
cnf(c7066,plain,
( c_less(c_0,X1087,t_b)
| c_lessequals(c_Orderings_Omax(X1087,c_0,t_b),c_HOL_Oabs(X1088,t_b),t_b) ),
inference(resolution,[status(thm)],[c2935,c4]) ).
cnf(c7082,plain,
c_less(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(resolution,[status(thm)],[c7066,cls_conjecture_3]) ).
cnf(c7103,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)],[c7082,cls_Orderings_Oorder__less__imp__le_0]) ).
cnf(c7104,plain,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(resolution,[status(thm)],[c7103,c4]) ).
cnf(c7135,plain,
$false,
inference(resolution,[status(thm)],[c7104,cls_conjecture_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ANA025-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n014.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 17:23:07 EDT 2024
% 0.13/0.34 % CPUTime :
% 2.76/2.92 % Version: 1.5
% 2.76/2.92 % SZS status Unsatisfiable
% 2.76/2.92 % SZS output start CNFRefutation
% See solution above
% 2.76/2.92
% 2.76/2.92 % Initial clauses : 12
% 2.76/2.92 % Processed clauses : 332
% 2.76/2.92 % Factors computed : 46
% 2.76/2.92 % Resolvents computed: 7092
% 2.76/2.92 % Tautologies deleted: 2
% 2.76/2.92 % Forward subsumed : 203
% 2.76/2.92 % Backward subsumed : 113
% 2.76/2.92 % -------- CPU Time ---------
% 2.76/2.92 % User time : 2.543 s
% 2.76/2.92 % System time : 0.033 s
% 2.76/2.92 % Total time : 2.576 s
%------------------------------------------------------------------------------