TSTP Solution File: SWV251-2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV251-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:46:23 EDT 2024
% Result : Unsatisfiable 0.21s 0.43s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 49 ( 27 unt; 0 def)
% Number of atoms : 79 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 33 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 1 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 : 118 ( 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [V_G,V_H] :
( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [V_A,V_B,T_a,V_C] :
( ~ 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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [V_A,V_B,T_a,V_C] :
( ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a))
| c_lessequals(V_B,V_C,tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [V_B,V_C,T_a,V_A] :
( ~ c_lessequals(V_B,V_C,tc_set(T_a))
| ~ 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/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [V_x,V_B,T_a,V_A] :
( ~ c_in(V_x,V_B,T_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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [V_c,V_A,T_a,V_B] :
( ~ c_in(V_c,V_A,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(V_c,V_B,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [V_B,V_A,T_a] :
( ~ c_lessequals(V_B,V_A,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| V_A = V_B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f15,plain,
! [X0,X1,X2] : c_union(c_minus(X0,X1,tc_set(X2)),X1,X2) = c_union(X0,X1,X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
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(esa)],[f3]) ).
fof(f17,plain,
! [V_A,T_a,V_C] :
( ! [V_B] : ~ 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)) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f18,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
| c_lessequals(X0,X3,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f19,plain,
! [V_B,T_a,V_C] :
( ! [V_A] : ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a))
| c_lessequals(V_B,V_C,tc_set(T_a)) ),
inference(miniscoping,[status(esa)],[f5]) ).
fof(f20,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
| c_lessequals(X1,X3,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X3,X1,tc_set(X2))
| c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
! [V_x,V_B,T_a] :
( ~ c_in(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)) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f24,plain,
! [V_c,T_a,V_B] :
( ! [V_A] :
( ~ c_in(V_c,V_A,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a)) )
| c_in(V_c,V_B,T_a) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| c_in(X0,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f26,plain,
! [V_B,V_A] :
( ! [T_a] :
( ~ c_lessequals(V_B,V_A,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a)) )
| V_A = V_B ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X1 = X0 ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f28,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f29,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[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(esa)],[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(esa)],[f13]) ).
fof(f32,plain,
! [X0] :
( ~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),X0,tc_set(tc_Message_Omsg))
| c_in(v_x,X0,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f25,f30]) ).
fof(f35,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(f36,plain,
! [X0,X1,X2] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(resolution,[status(thm)],[f28,f20]) ).
fof(f37,plain,
! [X0,X1,X2] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(resolution,[status(thm)],[f28,f18]) ).
fof(f46,plain,
! [X0,X1] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(c_union(X1,X0,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f36,f14]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))
| c_lessequals(c_union(X0,X1,X3),c_union(X1,X2,X3),tc_set(X3)) ),
inference(resolution,[status(thm)],[f37,f21]) ).
fof(f97,plain,
! [X0] : c_union(c_minus(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg) = c_union(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f35,f15]) ).
fof(f98,plain,
! [X0] : c_union(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg) = c_union(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(forward_demodulation,[status(thm)],[f15,f97]) ).
fof(f120,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)],[f16,f36]) ).
fof(f151,plain,
! [X0] : c_in(v_x,c_Message_Oanalz(c_union(X0,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f46,f32]) ).
fof(f360,plain,
! [X0,X1,X2] : c_lessequals(c_union(c_minus(X0,X1,tc_set(X2)),X1,X2),c_union(X1,X0,X2),tc_set(X2)),
inference(resolution,[status(thm)],[f53,f120]) ).
fof(f361,plain,
! [X0,X1,X2] : c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2)),
inference(forward_demodulation,[status(thm)],[f15,f360]) ).
fof(f390,plain,
! [X0,X1,X2] :
( ~ c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2))
| c_union(X0,X1,X2) = c_union(X1,X0,X2) ),
inference(resolution,[status(thm)],[f361,f27]) ).
fof(f391,plain,
! [X0,X1,X2] : c_union(X0,X1,X2) = c_union(X1,X0,X2),
inference(forward_subsumption_resolution,[status(thm)],[f390,f361]) ).
fof(f423,plain,
~ c_in(v_x,c_Message_Oanalz(c_union(v_H,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)),tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f391,f31]) ).
fof(f810,plain,
! [X0] : c_union(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),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)],[f391,f98]) ).
fof(f813,plain,
c_in(v_x,c_Message_Oanalz(c_union(v_H,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)),tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f810,f151]) ).
fof(f928,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f813,f423]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV251-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:01:25 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 0.21/0.43 % Refutation found
% 0.21/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.46 % Elapsed time: 0.094411 seconds
% 0.21/0.46 % CPU time: 0.572097 seconds
% 0.21/0.46 % Total memory used: 44.643 MB
% 0.21/0.46 % Net memory used: 44.439 MB
%------------------------------------------------------------------------------