%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV864-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 40 ( 26 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 33 ( 13 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [V_com1_H,V_com2_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [V_u,V_t,V_c,V_s] :
( ~ c_Natural_Oevalc(V_c,V_s,V_t)
| ~ c_Natural_Oevalc(V_c,V_s,V_u)
| V_u = V_t ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_x,v_xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [V_Z_H] :
( c_Natural_Oevalc(v_c,v_x,v_xb(V_Z_H))
| V_Z_H = v_xa ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [V_Z_H] :
( V_Z_H = v_xa
| V_Z_H != v_xb(V_Z_H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,plain,
! [X0,X1] : c_Com_Ocom_OSemi(X0,X1) != c_Com_Ocom_OSKIP,
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f48,plain,
! [V_t,V_c,V_s] :
( ~ c_Natural_Oevalc(V_c,V_s,V_t)
| ! [V_u] :
( ~ c_Natural_Oevalc(V_c,V_s,V_u)
| V_u = V_t ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( ~ c_Natural_Oevalc(X2,X3,X1)
| ~ c_Natural_Oevalc(X2,X3,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f66,plain,
~ c_Natural_Oevalc(v_c,v_x,v_xa),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f67,plain,
! [X0] :
( c_Natural_Oevalc(v_c,v_x,v_xb(X0))
| X0 = v_xa ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f68,plain,
! [X0] :
( X0 = v_xa
| X0 != v_xb(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f69,plain,
! [X0,X1] :
( ~ c_Natural_Oevalc(v_c,v_x,X1)
| X1 = v_xb(X0)
| X0 = v_xa ),
inference(resolution,[status(thm)],[f67,f49]) ).
fof(f70,plain,
! [X0,X1] :
( X1 = v_xa
| v_xb(X1) = v_xb(X0)
| X0 = v_xa ),
inference(resolution,[status(thm)],[f69,f67]) ).
fof(f71,plain,
! [X0] :
( v_xb(X0) = v_xa
| X0 = v_xa
| v_xb(X0) = v_xa ),
inference(resolution,[status(thm)],[f70,f68]) ).
fof(f81,plain,
! [X0] :
( X0 = v_xa
| v_xb(X0) = v_xa ),
inference(duplicate_literals_removal,[status(thm)],[f71]) ).
fof(f98,plain,
! [X0] :
( X0 = v_xa
| c_Natural_Oevalc(v_c,v_x,v_xa)
| X0 = v_xa ),
inference(paramodulation,[status(thm)],[f81,f67]) ).
fof(f104,plain,
! [X0] :
( c_Natural_Oevalc(v_c,v_x,v_xa)
| X0 = v_xa ),
inference(duplicate_literals_removal,[status(thm)],[f98]) ).
fof(f105,plain,
! [X0] : X0 = v_xa,
inference(forward_subsumption_resolution,[status(thm)],[f104,f66]) ).
fof(f106,plain,
! [X0,X1] : X0 = X1,
inference(paramodulation,[status(thm)],[f105,f105]) ).
fof(f108,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f45,f106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV864-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 09:30:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.44 % Elapsed time: 0.068663 seconds
% 0.13/0.44 % CPU time: 0.129557 seconds
% 0.13/0.44 % Total memory used: 28.731 MB
% 0.13/0.44 % Net memory used: 28.686 MB
%------------------------------------------------------------------------------