%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : ANA037-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 17:15:32 EDT 2024
% Result : Unsatisfiable 0.40s 0.57s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 11 unt; 0 nHn; 15 RR)
% Number of literals : 37 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 25 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_8,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
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_44,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X4)
| class_Orderings_Oorder(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
cnf(c2,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_44,tfree_tcs]) ).
cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
( ~ class_Orderings_Oorder(X12)
| ~ c_lessequals(X10,X13,X12)
| ~ c_lessequals(X11,X10,X12)
| c_lessequals(X11,X13,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(cls_conjecture_4,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(v_c,v_f(v_xa),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(c7,plain,
( ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(c_times(v_c,v_f(v_xa),t_b),X54,t_b)
| c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),X54,t_b) ),
inference(resolution,[status(thm)],[cls_conjecture_4,cls_Orderings_Oorder__class_Oorder__trans_0]) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X3)
| class_Ring__and__Field_Opordered__semiring(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
cnf(c1,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(resolution,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_42,tfree_tcs]) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X2)
| class_Orderings_Olinorder(X2) ),
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_Ole__maxI1_0,axiom,
( ~ class_Orderings_Olinorder(X7)
| c_lessequals(X6,c_Orderings_Omax(X6,X5,X7),X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI1_0) ).
cnf(c3,plain,
c_lessequals(X8,c_Orderings_Omax(X8,X9,t_b),t_b),
inference(resolution,[status(thm)],[cls_Orderings_Ole__maxI1_0,c0]) ).
cnf(cls_conjecture_2,negated_conjecture,
c_lessequals(c_0,v_f(v_xa),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X35)
| ~ c_lessequals(X37,X36,X35)
| ~ c_lessequals(c_0,X34,X35)
| c_lessequals(c_times(X37,X34,X35),c_times(X36,X34,X35),X35) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).
cnf(c24,plain,
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ c_lessequals(X113,X112,t_b)
| c_lessequals(c_times(X113,v_f(v_xa),t_b),c_times(X112,v_f(v_xa),t_b),t_b) ),
inference(resolution,[status(thm)],[cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,cls_conjecture_2]) ).
cnf(c107,plain,
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| c_lessequals(c_times(X115,v_f(v_xa),t_b),c_times(c_Orderings_Omax(X115,X114,t_b),v_f(v_xa),t_b),t_b) ),
inference(resolution,[status(thm)],[c24,c3]) ).
cnf(c113,plain,
c_lessequals(c_times(X116,v_f(v_xa),t_b),c_times(c_Orderings_Omax(X116,X117,t_b),v_f(v_xa),t_b),t_b),
inference(resolution,[status(thm)],[c107,c1]) ).
cnf(c116,plain,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(c_Orderings_Omax(v_c,X118,t_b),v_f(v_xa),t_b),t_b) ),
inference(resolution,[status(thm)],[c113,c7]) ).
cnf(c120,plain,
c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(c_Orderings_Omax(v_c,X122,t_b),v_f(v_xa),t_b),t_b),
inference(resolution,[status(thm)],[c116,c2]) ).
cnf(c136,plain,
$false,
inference(resolution,[status(thm)],[c120,cls_conjecture_8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ANA037-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 17:18:52 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.40/0.57 % Version: 1.5
% 0.40/0.57 % SZS status Unsatisfiable
% 0.40/0.57 % SZS output start CNFRefutation
% See solution above
% 0.40/0.57
% 0.40/0.57 % Initial clauses : 10
% 0.40/0.57 % Processed clauses : 47
% 0.40/0.57 % Factors computed : 2
% 0.40/0.57 % Resolvents computed: 138
% 0.40/0.57 % Tautologies deleted: 1
% 0.40/0.57 % Forward subsumed : 7
% 0.40/0.57 % Backward subsumed : 10
% 0.40/0.57 % -------- CPU Time ---------
% 0.40/0.57 % User time : 0.204 s
% 0.40/0.57 % System time : 0.017 s
% 0.40/0.57 % Total time : 0.221 s
%------------------------------------------------------------------------------