%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ANA038-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 12:02:18 PM UTC 2026
% Result : Unsatisfiable 98.69s 12.92s
% Output : CNFRefutation 98.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 11 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 91 ( 51 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2468,axiom,
! [T] :
( class_Ring__and__Field_Oordered__semidom(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2532,axiom,
! [T] :
( class_Orderings_Olinorder(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2542,axiom,
! [T] :
( class_Ring__and__Field_Opordered__semiring(T)
| ~ class_Ring__and__Field_Oordered__semidom(T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2679,axiom,
! [T] :
( class_Orderings_Oorder(T)
| ~ class_Ring__and__Field_Opordered__semiring(T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2785,axiom,
! [T_b,V_y,V_x] :
( c_lessequals(V_y,c_Orderings_Omax(V_x,V_y,T_b),T_b)
| ~ class_Orderings_Olinorder(T_b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2786,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/sandbox/benchmark/theBenchmark.p') ).
fof(f2788,axiom,
! [T_a,V_a,V_b,V_c] :
( c_lessequals(c_times(V_a,V_c,T_a),c_times(V_b,V_c,T_a),T_a)
| ~ c_lessequals(c_0,V_c,T_a)
| ~ c_lessequals(V_a,V_b,T_a)
| ~ class_Ring__and__Field_Opordered__semiring(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2796,negated_conjecture,
c_lessequals(c_0,v_g(v_xa),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2798,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2801,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2802,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5922,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Oordered__semidom(X0) ),
inference(cnf_transformation,[status(thm)],[f2468]) ).
fof(f5986,plain,
! [X0] :
( class_Orderings_Olinorder(X0)
| ~ class_Ring__and__Field_Oordered__semidom(X0) ),
inference(cnf_transformation,[status(thm)],[f2532]) ).
fof(f5996,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__semidom(X0)
| class_Ring__and__Field_Opordered__semiring(X0) ),
inference(cnf_transformation,[status(thm)],[f2542]) ).
fof(f6133,plain,
! [X0] :
( ~ class_Ring__and__Field_Opordered__semiring(X0)
| class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(thm)],[f2679]) ).
fof(f6241,plain,
! [T_b] :
( ! [V_y,V_x] : c_lessequals(V_y,c_Orderings_Omax(V_x,V_y,T_b),T_b)
| ~ class_Orderings_Olinorder(T_b) ),
inference(miniscoping,[status(thm)],[f2785]) ).
fof(f6242,plain,
! [X0,X1,X2] :
( ~ class_Orderings_Olinorder(X2)
| c_lessequals(X0,c_Orderings_Omax(X1,X0,X2),X2) ),
inference(cnf_transformation,[status(thm)],[f6241]) ).
fof(f6243,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)],[f2786]) ).
fof(f6244,plain,
! [X0,X1,X2,X3] :
( ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X1,X3,X2)
| c_lessequals(X0,X3,X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f6243]) ).
fof(f6247,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X2,X3,X1)
| c_lessequals(c_times(X2,X0,X1),c_times(X3,X0,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(c_0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2788]) ).
fof(f6259,plain,
c_lessequals(c_0,v_g(v_xa),t_b),
inference(cnf_transformation,[status(thm)],[f2796]) ).
fof(f6261,plain,
c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b),
inference(cnf_transformation,[status(thm)],[f2798]) ).
fof(f6264,plain,
~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b),
inference(cnf_transformation,[status(thm)],[f2801]) ).
fof(f6265,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[status(thm)],[f2802]) ).
fof(f28794,plain,
! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),X0,t_b)
| ~ c_lessequals(X0,c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(resolution,[status(thm)],[f6244,f6264]) ).
fof(f29971,plain,
! [X0] :
( ~ c_lessequals(X0,c_Orderings_Omax(v_c,v_ca,t_b),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ c_lessequals(c_0,v_g(v_xa),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(resolution,[status(thm)],[f28794,f6247]) ).
fof(f29974,plain,
! [X0] :
( ~ c_lessequals(c_0,v_g(v_xa),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)
| ~ c_lessequals(X0,c_Orderings_Omax(v_c,v_ca,t_b),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(forward_subsumption_resolution,[status(thm)],[f29971,f6133]) ).
fof(f37363,plain,
! [X0] :
( ~ c_lessequals(X0,c_Orderings_Omax(v_c,v_ca,t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(forward_subsumption_resolution,[status(thm)],[f29974,f6259]) ).
fof(f37364,plain,
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ c_lessequals(v_ca,c_Orderings_Omax(v_c,v_ca,t_b),t_b) ),
inference(resolution,[status(thm)],[f37363,f6261]) ).
fof(f37371,plain,
( ~ class_Orderings_Olinorder(t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(resolution,[status(thm)],[f37364,f6242]) ).
fof(f37380,plain,
( ~ class_Ring__and__Field_Oordered__semidom(t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(resolution,[status(thm)],[f37371,f5996]) ).
fof(f37382,plain,
~ class_Ring__and__Field_Oordered__semidom(t_b),
inference(forward_subsumption_resolution,[status(thm)],[f37380,f5986]) ).
fof(f37388,plain,
~ class_Ring__and__Field_Oordered__idom(t_b),
inference(resolution,[status(thm)],[f37382,f5922]) ).
fof(f37390,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f37388,f6265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA038-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n003.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 13:27:47 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.47 % Drodi V4.1.1
% 98.69/12.92 % Refutation found
% 98.69/12.92 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 98.69/12.92 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 57.59/14.14 % Elapsed time: 13.574598 seconds
% 57.59/14.14 % CPU time: 96.316192 seconds
% 57.59/14.14 % Total memory used: 721.233 MB
% 57.59/14.14 % Net memory used: 648.804 MB
%------------------------------------------------------------------------------