%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ANA007-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:02:12 PM UTC 2026
% Result : Unsatisfiable 5.10s 16.60s
% Output : CNFRefutation 5.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 10 unt; 1 def)
% Number of atoms : 38 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 13 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1368,axiom,
! [T_a,V_c] :
( V_c = c_times(c_1,V_c,T_a)
| ~ class_Ring__and__Field_Oordered__idom(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1689,axiom,
! [T_a,V_x] :
( c_lessequals(V_x,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2456,axiom,
! [T] :
( class_Orderings_Oorder(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2783,negated_conjecture,
! [V_U] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(V_U)),t_b),c_times(V_U,c_HOL_Oabs(v_f(v_x(V_U)),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2784,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4664,plain,
! [T_a] :
( ! [V_c] : V_c = c_times(c_1,V_c,T_a)
| ~ class_Ring__and__Field_Oordered__idom(T_a) ),
inference(miniscoping,[status(thm)],[f1368]) ).
fof(f4665,plain,
! [X0,X1] :
( X1 = c_times(c_1,X1,X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[status(thm)],[f4664]) ).
fof(f5106,plain,
! [T_a] :
( ! [V_x] : c_lessequals(V_x,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
inference(miniscoping,[status(thm)],[f1689]) ).
fof(f5107,plain,
! [X0,X1] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(thm)],[f5106]) ).
fof(f5892,plain,
! [X0] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[status(thm)],[f2456]) ).
fof(f6221,plain,
! [X0] : ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),
inference(cnf_transformation,[status(thm)],[f2783]) ).
fof(f6222,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[status(thm)],[f2784]) ).
fof(f6242,plain,
! [X0] : X0 = c_times(c_1,X0,t_b),
inference(resolution,[status(thm)],[f4665,f6222]) ).
fof(f6246,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),
inference(paramodulation,[status(thm)],[f6242,f6221]) ).
fof(f24701,definition,
( sQ720_spl
<=> class_Orderings_Oorder(t_b) ),
introduced(definition,[new_symbols(definition,[sQ720_spl])],[split_symbol_definition]) ).
fof(f24702,plain,
( ~ sQ720_spl
| class_Orderings_Oorder(t_b) ),
inference(component_clause,[status(thm)],[f24701]) ).
fof(f24703,plain,
( sQ720_spl
| ~ class_Orderings_Oorder(t_b) ),
inference(component_clause,[status(thm)],[f24701]) ).
fof(f24739,plain,
( sQ720_spl
| ~ class_Ring__and__Field_Oordered__idom(t_b) ),
inference(resolution,[status(thm)],[f24703,f5892]) ).
fof(f24755,plain,
( sQ720_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24739,f6222]) ).
fof(f24756,plain,
sQ720_spl,
inference(contradiction_clause,[status(thm)],[f24755]) ).
fof(f24953,plain,
~ class_Orderings_Oorder(t_b),
inference(resolution,[status(thm)],[f5107,f6246]) ).
fof(f24962,plain,
( ~ sQ720_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24953,f24702]) ).
fof(f24963,plain,
~ sQ720_spl,
inference(contradiction_clause,[status(thm)],[f24962]) ).
fof(f24964,plain,
$false,
inference(sat_refutation,[status(thm)],[f24756,f24963]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.22 % Problem : ANA007-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.24 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/15.76 % Computer : n016.cluster.edu
% 0.10/15.76 % Model : x86_64 x86_64
% 0.10/15.76 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.76 % Memory : 8046.5625MB
% 0.10/15.76 % OS : Linux 6.8.0-71-generic
% 0.10/15.77 % CPULimit : 300
% 0.10/15.77 % WCLimit : 300
% 0.10/15.77 % DateTime : Mon Sep 21 13:27:55 UTC 2026
% 0.10/15.77 % CPUTime :
% 0.15/15.89 % Drodi V4.1.1
% 5.10/16.60 % Refutation found
% 5.10/16.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.10/16.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.97/16.64 % Elapsed time: 0.859925 seconds
% 1.97/16.64 % CPU time: 5.734142 seconds
% 1.97/16.64 % Total memory used: 270.891 MB
% 1.97/16.64 % Net memory used: 266.196 MB
%------------------------------------------------------------------------------