%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV249-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 02:47:00 PM UTC 2026
% Result : Unsatisfiable 9.90s 2.18s
% Output : CNFRefutation 9.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 61 ( 34 unt; 0 def)
% Number of atoms : 97 ( 25 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 76 ( 40 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 158 ( 158 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,negated_conjecture,
~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [V_G,V_H] : c_Message_Oanalz(c_union(c_Message_Oanalz(V_G),V_H,tc_Message_Omsg)) = c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,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(f5,axiom,
! [V_G,V_H] : c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [T_a,V_x] :
( c_lessequals(V_x,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [V_B,V_A,T_a] : c_union(c_minus(V_B,V_A,tc_set(T_a)),V_A,T_a) = c_union(V_B,V_A,T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,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(f9,axiom,
! [V_a,V_B,T_a,V_C] : c_union(c_insert(V_a,V_B,T_a),V_C,T_a) = c_insert(V_a,c_union(V_B,V_C,T_a),T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [V_A,V_a,V_B,T_a] : c_union(V_A,c_insert(V_a,V_B,T_a),T_a) = c_insert(V_a,c_union(V_A,V_B,T_a),T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [V_A,V_B,T_a,V_C] :
( c_lessequals(V_A,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(f12,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(f13,axiom,
! [V_B,V_C,T_a,V_A] :
( c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a))
| ~ c_lessequals(V_A,V_C,tc_set(T_a))
| ~ c_lessequals(V_B,V_C,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [V_x,V_A,T_a,V_B] :
( c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [V_x,V_B,T_a,V_A] :
( c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_x,V_B,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [V_B,V_A,T_a] :
( V_A = V_B
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_lessequals(V_B,V_A,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [T_1] : class_Orderings_Oorder(tc_set(T_1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f19,plain,
~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f20,plain,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Oanalz(X0),X1,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f21,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)],[f4]) ).
fof(f22,plain,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Osynth(X0),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f23,plain,
! [T_a] :
( ! [V_x] : c_lessequals(V_x,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f24,plain,
! [X0,X1] :
( c_lessequals(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [X0,X1,X2] : c_union(c_minus(X0,X1,tc_set(X2)),X1,X2) = c_union(X0,X1,X2),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f26,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)],[f8]) ).
fof(f27,plain,
! [X0,X1,X2,X3] : c_union(c_insert(X0,X1,X2),X3,X2) = c_insert(X0,c_union(X1,X3,X2),X2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f28,plain,
! [X0,X1,X2,X3] : c_union(X0,c_insert(X1,X2,X3),X3) = c_insert(X1,c_union(X0,X2,X3),X3),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f29,plain,
! [V_A,T_a,V_C] :
( c_lessequals(V_A,V_C,tc_set(T_a))
| ! [V_B] : ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a)) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X0,X3,tc_set(X2))
| ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f31,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)],[f12]) ).
fof(f32,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)],[f31]) ).
fof(f33,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f34,plain,
! [V_A,T_a,V_B] :
( c_lessequals(V_A,V_B,tc_set(T_a))
| ! [V_x] : ~ c_lessequals(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a)) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X1,X3,tc_set(X2))
| ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f37,plain,
! [V_B,V_A] :
( V_A = V_B
| ! [T_a] :
( ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_lessequals(V_B,V_A,tc_set(T_a)) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f38,plain,
! [X0,X1,X2] :
( X1 = X0
| ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f39,plain,
! [X0] : class_Orderings_Oorder(tc_set(X0)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f40,plain,
! [X0,X1,X2,X3] : c_union(c_insert(X0,X1,X2),X3,X2) = c_union(X1,c_insert(X0,X3,X2),X2),
inference(backward_demodulation,[status(thm)],[f28,f27]) ).
fof(f46,plain,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(X0)),X1,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f20,f22]) ).
fof(f52,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(resolution,[status(thm)],[f24,f39]) ).
fof(f53,plain,
! [X0,X1,X2] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(resolution,[status(thm)],[f52,f32]) ).
fof(f54,plain,
! [X0,X1,X2] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(resolution,[status(thm)],[f52,f30]) ).
fof(f81,plain,
! [X0,X1,X2] : c_lessequals(c_minus(X0,X1,tc_set(X2)),c_union(X1,X0,X2),tc_set(X2)),
inference(paramodulation,[status(thm)],[f26,f53]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
| ~ c_lessequals(c_minus(X3,X0,tc_set(X2)),X1,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(paramodulation,[status(thm)],[f25,f33]) ).
fof(f113,plain,
! [X0,X1,X2] : c_lessequals(X0,c_insert(X1,X0,X2),tc_set(X2)),
inference(resolution,[status(thm)],[f35,f52]) ).
fof(f120,plain,
! [X0,X1,X2] :
( X1 = c_insert(X0,X1,X2)
| ~ c_lessequals(c_insert(X0,X1,X2),X1,tc_set(X2)) ),
inference(resolution,[status(thm)],[f113,f38]) ).
fof(f774,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,X0,tc_set(X2))
| ~ c_in(X1,X0,X2)
| X0 = c_insert(X1,X0,X2) ),
inference(resolution,[status(thm)],[f120,f36]) ).
fof(f777,plain,
! [X0,X1,X2] :
( ~ c_in(X1,X0,X2)
| X0 = c_insert(X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f774,f52]) ).
fof(f779,plain,
c_Message_Osynth(c_Message_Oanalz(v_G)) = c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f777,f18]) ).
fof(f783,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(paramodulation,[status(thm)],[f779,f40]) ).
fof(f900,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)],[f783,f53]) ).
fof(f2355,plain,
! [X0,X1,X2] :
( c_lessequals(c_union(X1,X0,X2),c_union(X0,X1,X2),tc_set(X2))
| ~ c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)) ),
inference(resolution,[status(thm)],[f91,f81]) ).
fof(f2380,plain,
! [X0,X1,X2] : c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2)),
inference(forward_subsumption_resolution,[status(thm)],[f2355,f54]) ).
fof(f2477,plain,
! [X0,X1,X2] :
( c_union(X1,X0,X2) = c_union(X0,X1,X2)
| ~ c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2)) ),
inference(resolution,[status(thm)],[f2380,f38]) ).
fof(f2519,plain,
! [X0,X1,X2] : c_union(X0,X1,X2) = c_union(X1,X0,X2),
inference(forward_subsumption_resolution,[status(thm)],[f2477,f2380]) ).
fof(f2568,plain,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(X0)),X1,tc_Message_Omsg)) = c_union(c_Message_Osynth(c_Message_Oanalz(X0)),c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f46,f2519]) ).
fof(f2760,plain,
~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(backward_demodulation,[status(thm)],[f2568,f19]) ).
fof(f3152,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)],[f2760,f21]) ).
fof(f3155,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3152,f900]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV249-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n009.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 08:35:58 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 9.90/2.18 % Refutation found
% 9.90/2.18 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.90/2.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.20/2.28 % Elapsed time: 1.829771 seconds
% 10.20/2.28 % CPU time: 13.974258 seconds
% 10.20/2.28 % Total memory used: 302.439 MB
% 10.20/2.28 % Net memory used: 298.395 MB
%------------------------------------------------------------------------------