%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV251-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 02:47:01 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 17 unt; 0 def)
% Number of atoms : 47 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 21 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [V_G,V_H] :
( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [V_A,V_B,T_a] : c_union(V_A,c_minus(V_B,V_A,tc_set(T_a)),T_a) = c_union(V_A,V_B,T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [V_A,V_B,T_a,V_C] :
( c_lessequals(V_B,V_C,tc_set(T_a))
| ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [V_x,V_B,T_a,V_A] :
( c_minus(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a)) = c_minus(V_A,V_B,tc_set(T_a))
| ~ c_in(V_x,V_B,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [V_c,V_A,T_a,V_B] :
( c_in(V_c,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,plain,
! [X0,X1] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f16,plain,
! [X0,X1,X2] : c_union(X0,c_minus(X1,X0,tc_set(X2)),X2) = c_union(X0,X1,X2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f19,plain,
! [V_B,T_a,V_C] :
( c_lessequals(V_B,V_C,tc_set(T_a))
| ! [V_A] : ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a)) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f20,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X1,X3,tc_set(X2))
| ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f22,plain,
! [V_x,V_B,T_a] :
( ! [V_A] : c_minus(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a)) = c_minus(V_A,V_B,tc_set(T_a))
| ~ c_in(V_x,V_B,T_a) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
! [V_c,T_a,V_B] :
( c_in(V_c,V_B,T_a)
| ! [V_A] :
( ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f28,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f29,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f30,plain,
c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f31,plain,
~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f32,plain,
! [X0,X1,X2] :
( c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f14,f25]) ).
fof(f37,plain,
! [X0] : c_minus(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)) = c_minus(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f23,f29]) ).
fof(f38,plain,
! [X0,X1,X2] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(resolution,[status(thm)],[f28,f20]) ).
fof(f75,plain,
! [X0] : c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_minus(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),tc_Message_Omsg) = c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_insert(v_X,X0,tc_Message_Omsg),tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f37,f16]) ).
fof(f77,plain,
! [X0] : c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X0,tc_Message_Omsg) = c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_insert(v_X,X0,tc_Message_Omsg),tc_Message_Omsg),
inference(forward_demodulation,[status(thm)],[f16,f75]) ).
fof(f83,plain,
! [X0] : c_lessequals(c_insert(v_X,X0,tc_Message_Omsg),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),X0,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(paramodulation,[status(thm)],[f77,f38]) ).
fof(f124,plain,
! [X0] :
( ~ c_in(v_x,c_Message_Oanalz(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f32,f31]) ).
fof(f1108,plain,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f124,f30]) ).
fof(f1110,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1108,f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV251-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n005.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 08:36:34 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 0.16/0.47 % Refutation found
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.53 % Elapsed time: 0.145974 seconds
% 0.16/0.53 % CPU time: 0.504456 seconds
% 0.16/0.53 % Total memory used: 41.604 MB
% 0.16/0.53 % Net memory used: 41.322 MB
%------------------------------------------------------------------------------