%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SCT089-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 02:06:55 PM UTC 2026
% Result : Unsatisfiable 60.49s 9.38s
% Output : CNFRefutation 60.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 31 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-5 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f474,axiom,
! [T_a,V_c,V_A] :
( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A))
| hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f475,axiom,
! [T_a,V_c,V_A] :
( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A)))
| ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f752,axiom,
! [T_a,V_x,V_S] :
( ~ hBOOL(hAPP(V_S,V_x))
| hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f753,axiom,
! [V_S,V_x,T_a] :
( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))
| hBOOL(hAPP(V_S,V_x)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f756,axiom,
! [V_P,V_Q,T_b,T_c,T_a,V_R] : hAPP(c_COMBS(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1570,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
| hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X2))) ),
inference(cnf_transformation,[status(thm)],[f474]) ).
fof(f1571,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X2)))
| ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
inference(cnf_transformation,[status(thm)],[f475]) ).
fof(f2000,plain,
! [V_x,V_S] :
( ~ hBOOL(hAPP(V_S,V_x))
| ! [T_a] : hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ),
inference(miniscoping,[status(thm)],[f752]) ).
fof(f2001,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
inference(cnf_transformation,[status(thm)],[f2000]) ).
fof(f2002,plain,
! [V_S,V_x] :
( ! [T_a] : ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))
| hBOOL(hAPP(V_S,V_x)) ),
inference(miniscoping,[status(thm)],[f753]) ).
fof(f2003,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X0))
| hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f2002]) ).
fof(f2006,plain,
! [X0,X1,X2,X3,X4,X5] : hAPP(c_COMBS(X0,X1,X2,X3,X4),X5) = hAPP(hAPP(X0,X5),hAPP(X1,X5)),
inference(cnf_transformation,[status(thm)],[f756]) ).
fof(f2219,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP(hAPP(c_in(X0),X4),X4))
| hBOOL(hAPP(c_COMBS(c_in(X0),c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1,X2,X3),X4)) ),
inference(paramodulation,[status(thm)],[f2006,f1570]) ).
fof(f2272,plain,
! [X0,X1,X2,X3,X4] :
( ~ hBOOL(hAPP(c_COMBS(c_in(X0),c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X2,X3,X4),X1))
| ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X1)) ),
inference(paramodulation,[status(thm)],[f2006,f1571]) ).
fof(f7294,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP(X4,X4))
| hBOOL(hAPP(c_COMBS(c_in(X0),c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1,X2,X3),X4)) ),
inference(resolution,[status(thm)],[f2219,f2003]) ).
fof(f7867,plain,
! [X0,X1,X2,X3] : ~ hBOOL(hAPP(hAPP(c_in(X0),c_COMBS(c_in(X0),c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1,X2,X3)),c_COMBS(c_in(X0),c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1,X2,X3))),
inference(resolution,[status(thm)],[f7294,f2272]) ).
fof(f7875,plain,
! [X0,X1,X2,X3,X4] : hBOOL(hAPP(hAPP(c_in(X0),c_COMBS(c_in(X1),c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2,X3,X4)),c_COMBS(c_in(X1),c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2,X3,X4))),
inference(resolution,[status(thm)],[f7294,f2001]) ).
fof(f7922,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f7867,f7875]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SCT089-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n015.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 04:34:06 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.26/0.51 % Drodi V4.1.1
% 60.49/9.38 % Refutation found
% 60.49/9.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 60.49/9.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 36.78/10.55 % Elapsed time: 9.875681 seconds
% 36.78/10.55 % CPU time: 68.716571 seconds
% 36.78/10.55 % Total memory used: 830.218 MB
% 36.78/10.55 % Net memory used: 789.433 MB
%------------------------------------------------------------------------------