%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SCT007-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 02:06:47 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.77s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f569,axiom,
! [V_A,T_a,V_r] :
( ~ hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a))
| hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(V_A,T_a),c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f570,negated_conjecture,
hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),v_r,tc_Arrow__Order__Mirabelle_Oalt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f572,negated_conjecture,
! [V_x] : ~ hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),V_x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1439,plain,
! [X0,X1,X2] :
( ~ hBOOL(c_Order__Relation_Olinear__order__on(X0,X2,X1))
| hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(X0,X1),c_HOL_Ominus__class_Ominus(X2,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)))) ),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f1440,plain,
hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),v_r,tc_Arrow__Order__Mirabelle_Oalt)),
inference(cnf_transformation,[status(thm)],[f570]) ).
fof(f1442,plain,
! [X0] : ~ hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),X0)),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f3685,plain,
hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_HOL_Ominus__class_Ominus(v_r,c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))),
inference(resolution,[status(thm)],[f1439,f1440]) ).
fof(f3689,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3685,f1442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SCT007-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n004.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 04:25:20 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.23/0.52 % Drodi V4.1.1
% 0.23/0.77 % Refutation found
% 0.23/0.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/0.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.09/0.80 % Elapsed time: 0.326946 seconds
% 1.09/0.80 % CPU time: 1.893892 seconds
% 1.09/0.80 % Total memory used: 167.059 MB
% 1.09/0.80 % Net memory used: 165.385 MB
%------------------------------------------------------------------------------