%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ANA024-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 12:02:15 PM UTC 2026
% Result : Unsatisfiable 162.49s 21.14s
% Output : CNFRefutation 110.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 8 unt; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 129 ( 68 ~; 61 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 76 ( 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2034,axiom,
! [T] :
( class_Orderings_Oorder(T)
| ~ class_OrderedGroup_Opordered__ab__group__add(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2444,axiom,
! [T] :
( class_Orderings_Olinorder(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2467,axiom,
! [T] :
( class_OrderedGroup_Opordered__ab__group__add(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2795,axiom,
! [T_a,V_a,V_c,V_b] :
( c_lessequals(c_minus(V_a,V_b,T_a),V_c,T_a)
| ~ c_lessequals(V_a,c_plus(V_c,V_b,T_a),T_a)
| ~ class_OrderedGroup_Opordered__ab__group__add(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2796,axiom,
! [T_a,V_a,V_c,V_b] :
( c_lessequals(c_plus(V_a,V_b,T_a),V_c,T_a)
| ~ c_lessequals(V_a,c_minus(V_c,V_b,T_a),T_a)
| ~ class_OrderedGroup_Opordered__ab__group__add(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2797,axiom,
! [T_a,V_a,V_b,V_c] :
( c_lessequals(V_a,c_minus(V_c,V_b,T_a),T_a)
| ~ c_lessequals(c_plus(V_a,V_b,T_a),V_c,T_a)
| ~ class_OrderedGroup_Opordered__ab__group__add(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2801,axiom,
! [T_a,V_y,V_x] :
( c_lessequals(V_x,V_y,T_a)
| c_less(V_y,V_x,T_a)
| ~ class_Orderings_Olinorder(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2803,axiom,
! [T_a,V_y,V_z,V_x] :
( c_lessequals(V_x,V_z,T_a)
| ~ c_lessequals(V_x,V_y,T_a)
| ~ c_lessequals(V_y,V_z,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2804,axiom,
! [T_a,V_x,V_y] :
( c_lessequals(V_x,V_y,T_a)
| ~ c_less(V_x,V_y,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2806,negated_conjecture,
! [V_U] : c_lessequals(v_k(V_U),v_f(V_U),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2808,negated_conjecture,
~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2809,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5495,plain,
! [X0] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(thm)],[f2034]) ).
fof(f5905,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Olinorder(X0) ),
inference(cnf_transformation,[status(thm)],[f2444]) ).
fof(f5928,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Opordered__ab__group__add(X0) ),
inference(cnf_transformation,[status(thm)],[f2467]) ).
fof(f6265,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_minus(X0,X2,X3),X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X0,c_plus(X1,X2,X3),X3) ),
inference(cnf_transformation,[status(thm)],[f2795]) ).
fof(f6266,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X1,c_minus(X3,X2,X0),X0)
| c_lessequals(c_plus(X1,X2,X0),X3,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
inference(cnf_transformation,[status(thm)],[f2796]) ).
fof(f6267,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X0,c_minus(X3,X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_lessequals(c_plus(X0,X1,X2),X3,X2) ),
inference(cnf_transformation,[status(thm)],[f2797]) ).
fof(f6274,plain,
! [X0,X1,X2] :
( ~ class_Orderings_Olinorder(X2)
| c_lessequals(X1,X0,X2)
| c_less(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f2801]) ).
fof(f6276,plain,
! [T_a,V_z,V_x] :
( c_lessequals(V_x,V_z,T_a)
| ! [V_y] :
( ~ c_lessequals(V_x,V_y,T_a)
| ~ c_lessequals(V_y,V_z,T_a)
| ~ class_Orderings_Oorder(T_a) ) ),
inference(miniscoping,[status(thm)],[f2803]) ).
fof(f6277,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X0,X3,X2)
| ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X1,X3,X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f6276]) ).
fof(f6278,plain,
! [X0,X1,X2] :
( ~ c_less(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_lessequals(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f2804]) ).
fof(f6280,plain,
! [X0] : c_lessequals(v_k(X0),v_f(X0),t_b),
inference(cnf_transformation,[status(thm)],[f2806]) ).
fof(f6282,plain,
~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(cnf_transformation,[status(thm)],[f2808]) ).
fof(f6283,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[status(thm)],[f2809]) ).
fof(f47058,plain,
! [X0,X1] :
( ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(X0,v_k(X1),t_b)
| c_lessequals(X0,v_f(X1),t_b) ),
inference(resolution,[status(thm)],[f6277,f6280]) ).
fof(f47474,plain,
! [X0,X1,X2] :
( c_lessequals(X0,c_minus(v_f(X2),X1,t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(c_plus(X0,X1,t_b),v_k(X2),t_b) ),
inference(resolution,[status(thm)],[f47058,f6267]) ).
fof(f47480,plain,
! [X0,X1,X2] :
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lessequals(c_plus(X0,X2,t_b),v_k(X1),t_b)
| c_lessequals(X0,c_minus(v_f(X1),X2,t_b),t_b) ),
inference(forward_subsumption_resolution,[status(thm)],[f47474,f5495]) ).
fof(f48628,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,c_minus(v_k(X1),X2,t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(X0,c_minus(v_f(X1),X2,t_b),t_b) ),
inference(resolution,[status(thm)],[f47480,f6266]) ).
fof(f48632,plain,
! [X0,X1,X2] :
( ~ c_less(c_plus(X0,X2,t_b),v_k(X1),t_b)
| ~ class_Orderings_Oorder(t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(X0,c_minus(v_f(X1),X2,t_b),t_b) ),
inference(resolution,[status(thm)],[f47480,f6278]) ).
fof(f48635,plain,
! [X0,X1,X2] :
( c_lessequals(X0,c_minus(v_f(X1),X2,t_b),t_b)
| ~ c_lessequals(X0,c_minus(v_k(X1),X2,t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(duplicate_literals_removal,[status(thm)],[f48628]) ).
fof(f48637,plain,
! [X0,X1,X2] :
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_less(c_plus(X0,X2,t_b),v_k(X1),t_b)
| c_lessequals(X0,c_minus(v_f(X1),X2,t_b),t_b) ),
inference(forward_subsumption_resolution,[status(thm)],[f48632,f5495]) ).
fof(f49040,plain,
( ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_k(v_x),v_g(v_x),t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(resolution,[status(thm)],[f48635,f6282]) ).
fof(f49081,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_less(c_plus(c_minus(v_k(v_x),v_g(v_x),t_b),v_g(v_x),t_b),v_k(v_x),t_b) ),
inference(resolution,[status(thm)],[f48637,f6282]) ).
fof(f50488,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lessequals(v_k(v_x),c_plus(c_minus(v_k(v_x),v_g(v_x),t_b),v_g(v_x),t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(resolution,[status(thm)],[f49040,f6265]) ).
fof(f50500,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lessequals(v_k(v_x),c_plus(c_minus(v_k(v_x),v_g(v_x),t_b),v_g(v_x),t_b),t_b) ),
inference(duplicate_literals_removal,[status(thm)],[f50488]) ).
fof(f52448,plain,
( ~ class_Orderings_Olinorder(t_b)
| c_less(c_plus(c_minus(v_k(v_x),v_g(v_x),t_b),v_g(v_x),t_b),v_k(v_x),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(resolution,[status(thm)],[f50500,f6274]) ).
fof(f52450,plain,
( ~ class_Orderings_Olinorder(t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(forward_subsumption_resolution,[status(thm)],[f52448,f49081]) ).
fof(f52454,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(resolution,[status(thm)],[f52450,f5928]) ).
fof(f52455,plain,
~ class_Ring__and__Field_Oordered__idom(t_b),
inference(forward_subsumption_resolution,[status(thm)],[f52454,f5905]) ).
fof(f52457,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f52455,f6283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ANA024-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n001.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 13:29:45 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.28/0.59 % Drodi V4.1.1
% 162.49/21.14 % Refutation found
% 162.49/21.14 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 162.49/21.14 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 94.97/22.46 % Elapsed time: 21.808588 seconds
% 94.97/22.46 % CPU time: 156.418662 seconds
% 94.97/22.46 % Total memory used: 951.386 MB
% 94.97/22.46 % Net memory used: 905.644 MB
%------------------------------------------------------------------------------