%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV249-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 02:47:00 PM UTC 2026
% Result : Unsatisfiable 36.21s 5.09s
% Output : CNFRefutation 4.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 67 ( 42 unt; 0 def)
% Number of atoms : 101 ( 31 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 77 ( 43 ~; 34 |; 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 : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 143 ( 143 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f111,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(f112,axiom,
! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2630,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(f2631,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(f2641,axiom,
! [V_c,V_A,T_a,V_B] :
( c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| ~ c_in(V_c,V_A,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2645,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(f2647,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(f2690,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(f2771,axiom,
! [V_A,V_B,T_a] : c_union(V_A,c_union(V_B,V_A,T_a),T_a) = c_union(V_B,V_A,T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2792,axiom,
! [V_H] : c_Message_Oanalz(c_Message_Oanalz(V_H)) = c_Message_Oanalz(V_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2820,axiom,
! [V_G,V_H] :
( c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2823,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(f2824,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(f2825,axiom,
! [V_H] : c_Message_Oanalz(c_Message_Osynth(V_H)) = c_union(c_Message_Oanalz(V_H),c_Message_Osynth(V_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2826,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(f2829,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(f2830,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(f2973,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)],[f111]) ).
fof(f2974,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)],[f2973]) ).
fof(f2975,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f6040,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)],[f2630]) ).
fof(f6041,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)],[f2631]) ).
fof(f6054,plain,
! [V_c,V_A,T_a] :
( ! [V_B] : c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| ~ c_in(V_c,V_A,T_a) ),
inference(miniscoping,[status(thm)],[f2641]) ).
fof(f6055,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f6054]) ).
fof(f6060,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)],[f2645]) ).
fof(f6061,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)],[f6060]) ).
fof(f6064,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)],[f2647]) ).
fof(f6124,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)],[f2690]) ).
fof(f6221,plain,
! [X0,X1,X2] : c_union(X0,c_union(X1,X0,X2),X2) = c_union(X1,X0,X2),
inference(cnf_transformation,[status(thm)],[f2771]) ).
fof(f6249,plain,
! [X0] : c_Message_Oanalz(c_Message_Oanalz(X0)) = c_Message_Oanalz(X0),
inference(cnf_transformation,[status(thm)],[f2792]) ).
fof(f6278,plain,
! [X0,X1] :
( c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f2820]) ).
fof(f6281,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)],[f2823]) ).
fof(f6282,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)],[f2824]) ).
fof(f6283,plain,
! [X0] : c_Message_Oanalz(c_Message_Osynth(X0)) = c_union(c_Message_Oanalz(X0),c_Message_Osynth(X0),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2825]) ).
fof(f6284,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)],[f2826]) ).
fof(f6287,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2829]) ).
fof(f6288,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)],[f2830]) ).
fof(f6357,plain,
! [X0] : c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X0))) = c_union(c_Message_Oanalz(X0),c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f6249,f6283]) ).
fof(f6419,plain,
! [X0,X1,X2] : c_union(c_minus(X0,X1,tc_set(X2)),c_union(X1,X0,X2),X2) = c_union(X1,c_minus(X0,X1,tc_set(X2)),X2),
inference(paramodulation,[status(thm)],[f6041,f6221]) ).
fof(f6427,plain,
! [X0,X1,X2] : c_union(c_minus(X0,X1,tc_set(X2)),c_union(X1,X0,X2),X2) = c_union(X1,X0,X2),
inference(forward_demodulation,[status(thm)],[f6041,f6419]) ).
fof(f6639,plain,
! [X0,X1,X2] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(resolution,[status(thm)],[f6061,f2975]) ).
fof(f6667,plain,
! [X0,X1,X2] :
( X0 = c_union(X0,X1,X2)
| ~ c_lessequals(c_union(X0,X1,X2),X0,tc_set(X2)) ),
inference(resolution,[status(thm)],[f6639,f2974]) ).
fof(f6681,plain,
! [X0,X1,X2] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(paramodulation,[status(thm)],[f6221,f6639]) ).
fof(f6744,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)],[f6041,f6681]) ).
fof(f6780,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)],[f6040,f6064]) ).
fof(f7136,plain,
! [X0] : c_lessequals(X0,c_Message_Osynth(X0),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f6278,f2975]) ).
fof(f7428,plain,
! [X0,X1,X2] :
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,c_union(c_Message_Oanalz(X1),X2,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f6281,f6282]) ).
fof(f7534,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)],[f6281,f6284]) ).
fof(f9425,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,X0,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X0 = c_union(X0,X1,X2) ),
inference(resolution,[status(thm)],[f6667,f6064]) ).
fof(f9446,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X1,X0,tc_set(X2))
| X0 = c_union(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f9425,f2975]) ).
fof(f9486,plain,
! [X0] : c_Message_Osynth(X0) = c_union(c_Message_Osynth(X0),X0,tc_Message_Omsg),
inference(resolution,[status(thm)],[f9446,f7136]) ).
fof(f9547,plain,
! [X0] : c_union(c_minus(X0,c_Message_Osynth(X0),tc_set(tc_Message_Omsg)),c_Message_Osynth(X0),tc_Message_Omsg) = c_union(c_Message_Osynth(X0),X0,tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f9486,f6427]) ).
fof(f9582,plain,
! [X0] : c_union(X0,c_Message_Osynth(X0),tc_Message_Omsg) = c_union(c_Message_Osynth(X0),X0,tc_Message_Omsg),
inference(forward_demodulation,[status(thm)],[f6040,f9547]) ).
fof(f9583,plain,
! [X0] : c_union(X0,c_Message_Osynth(X0),tc_Message_Omsg) = c_Message_Osynth(X0),
inference(forward_demodulation,[status(thm)],[f9486,f9582]) ).
fof(f9679,plain,
! [X0] : c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X0))) = c_Message_Osynth(c_Message_Oanalz(X0)),
inference(backward_demodulation,[status(thm)],[f9583,f6357]) ).
fof(f21554,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)],[f6744,f6780]) ).
fof(f21610,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)],[f21554,f6639]) ).
fof(f21620,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)],[f21610,f2974]) ).
fof(f21719,plain,
! [X0,X1,X2] : c_union(X0,X1,X2) = c_union(X1,X0,X2),
inference(forward_subsumption_resolution,[status(thm)],[f21620,f21610]) ).
fof(f21932,plain,
~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(paramodulation,[status(thm)],[f21719,f6288]) ).
fof(f35369,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)],[f7534,f21932]) ).
fof(f35693,plain,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(v_G))),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f35369,f7428]) ).
fof(f35699,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(forward_demodulation,[status(thm)],[f9679,f35693]) ).
fof(f35700,plain,
( ~ c_lessequals(v_H,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_in(v_X,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f35699,f6124]) ).
fof(f35703,plain,
~ c_in(v_X,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[f35700,f6681]) ).
fof(f35705,plain,
~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f35703,f6055]) ).
fof(f35708,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f35705,f6287]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV249-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.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 08:37:03 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.14/0.41 % Drodi V4.1.1
% 36.21/5.09 % Refutation found
% 36.21/5.09 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 36.21/5.09 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.71/5.22 % Elapsed time: 4.846210 seconds
% 4.71/5.22 % CPU time: 37.385940 seconds
% 4.71/5.22 % Total memory used: 612.354 MB
% 4.71/5.22 % Net memory used: 594.787 MB
%------------------------------------------------------------------------------