%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV861-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 02:49:41 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 22 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f569,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f570,negated_conjecture,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f571,negated_conjecture,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f572,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f574,negated_conjecture,
! [V_Z,V_s_H,V_s] :
( ~ hBOOL(hAPP(hAPP(v_P,V_Z),V_s))
| ~ c_Natural_Oevaln(v_c,V_s,v_n,V_s_H)
| hBOOL(hAPP(hAPP(v_Q,V_Z),V_s_H)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f575,negated_conjecture,
! [V_Z,V_s_H,V_s] :
( ~ hBOOL(hAPP(hAPP(v_Q,V_Z),V_s))
| ~ c_Natural_Oevaln(v_d,V_s,v_n,V_s_H)
| hBOOL(hAPP(hAPP(v_R,V_Z),V_s_H)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1510,plain,
hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f1511,plain,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(cnf_transformation,[status(thm)],[f570]) ).
fof(f1512,plain,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
inference(cnf_transformation,[status(thm)],[f571]) ).
fof(f1513,plain,
~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f1515,plain,
! [V_Z,V_s] :
( ~ hBOOL(hAPP(hAPP(v_P,V_Z),V_s))
| ! [V_s_H] :
( ~ c_Natural_Oevaln(v_c,V_s,v_n,V_s_H)
| hBOOL(hAPP(hAPP(v_Q,V_Z),V_s_H)) ) ),
inference(miniscoping,[status(thm)],[f574]) ).
fof(f1516,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(hAPP(v_P,X0),X2))
| ~ c_Natural_Oevaln(v_c,X2,v_n,X1)
| hBOOL(hAPP(hAPP(v_Q,X0),X1)) ),
inference(cnf_transformation,[status(thm)],[f1515]) ).
fof(f1517,plain,
! [V_Z,V_s] :
( ~ hBOOL(hAPP(hAPP(v_Q,V_Z),V_s))
| ! [V_s_H] :
( ~ c_Natural_Oevaln(v_d,V_s,v_n,V_s_H)
| hBOOL(hAPP(hAPP(v_R,V_Z),V_s_H)) ) ),
inference(miniscoping,[status(thm)],[f575]) ).
fof(f1518,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(hAPP(v_Q,X0),X2))
| ~ c_Natural_Oevaln(v_d,X2,v_n,X1)
| hBOOL(hAPP(hAPP(v_R,X0),X1)) ),
inference(cnf_transformation,[status(thm)],[f1517]) ).
fof(f1564,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(v_Q,v_Z),X0))
| ~ c_Natural_Oevaln(v_d,X0,v_n,v_s_H) ),
inference(resolution,[status(thm)],[f1518,f1513]) ).
fof(f1565,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_P,v_Z),X1))
| ~ c_Natural_Oevaln(v_c,X1,v_n,X0)
| ~ c_Natural_Oevaln(v_d,X0,v_n,v_s_H) ),
inference(resolution,[status(thm)],[f1564,f1516]) ).
fof(f1566,plain,
! [X0] :
( ~ c_Natural_Oevaln(v_c,v_s,v_n,X0)
| ~ c_Natural_Oevaln(v_d,X0,v_n,v_s_H) ),
inference(resolution,[status(thm)],[f1565,f1510]) ).
fof(f1567,plain,
~ c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(resolution,[status(thm)],[f1566,f1512]) ).
fof(f1568,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1567,f1511]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV861-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n012.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 09:28:37 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.14/0.39 % Drodi V4.1.1
% 0.14/0.42 % Refutation found
% 0.14/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.44 % Elapsed time: 0.084018 seconds
% 0.14/0.44 % CPU time: 0.218671 seconds
% 0.14/0.44 % Total memory used: 128.366 MB
% 0.14/0.44 % Net memory used: 128.071 MB
%------------------------------------------------------------------------------