TSTP Solution File: SWV275-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV275-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 : Wed May 31 12:41:09 EDT 2023
% Result : Unsatisfiable 0.10s 0.38s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 62 ( 9 unt; 0 def)
% Number of atoms : 131 ( 13 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 118 ( 49 ~; 64 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 99 (; 99 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [V_X,V_H] :
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [V_G,V_H] :
( ~ c_lessequals(V_G,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [V_a,V_B,T_a,V_b] :
( ~ c_in(V_a,V_B,T_a)
| c_in(V_a,c_insert(V_b,V_B,T_a),T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [V_x,V_B,T_a] : c_in(V_x,c_insert(V_x,V_B,T_a),T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [V_a,V_b,V_A,T_a] :
( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)
| c_in(V_a,V_A,T_a)
| V_a = V_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,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(f7,axiom,
! [V_A,V_B,T_a] :
( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)
| c_lessequals(V_A,V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [V_A,V_B,T_a] :
( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)
| c_lessequals(V_A,V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f11,plain,
! [X0,X1] :
( ~ c_lessequals(X0,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(esa)],[f2]) ).
fof(f12,plain,
! [V_a,V_B,T_a] :
( ~ c_in(V_a,V_B,T_a)
| ! [V_b] : c_in(V_a,c_insert(V_b,V_B,T_a),T_a) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f13,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| c_in(X0,c_insert(X3,X1,X2),X2) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f14,plain,
! [X0,X1,X2] : c_in(X0,c_insert(X0,X1,X2),X2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f15,plain,
! [V_a,V_b] :
( ! [V_A,T_a] :
( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)
| c_in(V_a,V_A,T_a) )
| V_a = V_b ),
inference(miniscoping,[status(esa)],[f5]) ).
fof(f16,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f17,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)],[f6]) ).
fof(f18,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)],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f21,plain,
~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f18,f11]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2),X1,X2)
| c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2) = X0 ),
inference(resolution,[status(thm)],[f19,f16]) ).
fof(f49,plain,
! [X0,X1,X2] :
( c_lessequals(c_insert(X0,X1,X2),X1,tc_set(X2))
| c_lessequals(c_insert(X0,X1,X2),X1,tc_set(X2))
| c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2) = X0 ),
inference(resolution,[status(thm)],[f20,f23]) ).
fof(f50,plain,
! [X0,X1,X2] :
( c_lessequals(c_insert(X0,X1,X2),X1,tc_set(X2))
| c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2) = X0 ),
inference(duplicate_literals_removal,[status(esa)],[f49]) ).
fof(f54,plain,
! [X0,X1] :
( c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(X1),tc_Message_Omsg),X1,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f20,f10]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X0,c_insert(X1,X2,X3),tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X0,c_insert(X1,X2,X3),X3),X2,X3) ),
inference(resolution,[status(thm)],[f20,f13]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2) = X0
| ~ c_in(X3,c_insert(X0,X1,X2),X2)
| c_in(X3,X1,X2) ),
inference(resolution,[status(thm)],[f50,f18]) ).
fof(f99,plain,
! [X0,X1,X2] :
( c_lessequals(X0,c_insert(X1,X0,X2),tc_set(X2))
| c_lessequals(X0,c_insert(X1,X0,X2),tc_set(X2)) ),
inference(resolution,[status(thm)],[f55,f19]) ).
fof(f100,plain,
! [X0,X1,X2] : c_lessequals(X0,c_insert(X1,X0,X2),tc_set(X2)),
inference(duplicate_literals_removal,[status(esa)],[f99]) ).
fof(f115,plain,
! [X0,X1,X2] :
( c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2) = X0
| c_in(X0,X1,X2) ),
inference(resolution,[status(thm)],[f56,f14]) ).
fof(f118,plain,
! [X0,X1,X2] :
( c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(X0,X1,X2),X1,X2),X1,X2) = c_Main_OsubsetI__1(X0,X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(resolution,[status(thm)],[f115,f20]) ).
fof(f121,plain,
c_Main_OsubsetI__1(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[status(thm)],[f118,f21]) ).
fof(f181,plain,
( spl0_0
<=> c_lessequals(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f182,plain,
( c_lessequals(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f184,plain,
( spl0_1
<=> c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f186,plain,
( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_1 ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f192,plain,
( spl0_3
<=> c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
introduced(split_symbol_definition) ).
fof(f194,plain,
( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
| spl0_3 ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,plain,
( c_lessequals(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f121,f54]) ).
fof(f196,plain,
( spl0_0
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f195,f181,f192]) ).
fof(f197,plain,
( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_lessequals(c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(paramodulation,[status(thm)],[f121,f20]) ).
fof(f198,plain,
( ~ spl0_1
| spl0_0 ),
inference(split_clause,[status(thm)],[f197,f184,f181]) ).
fof(f206,plain,
! [X0] :
( ~ c_in(X0,c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f182,f18]) ).
fof(f217,plain,
( c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f206,f14]) ).
fof(f221,plain,
( c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f217,f20]) ).
fof(f222,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f221,f21]) ).
fof(f223,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f222]) ).
fof(f233,plain,
! [X0] :
( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(resolution,[status(thm)],[f186,f22]) ).
fof(f238,plain,
( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
| spl0_1 ),
inference(resolution,[status(thm)],[f233,f100]) ).
fof(f241,plain,
( spl0_5
<=> c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f242,plain,
( c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,plain,
( spl0_6
<=> c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X ),
introduced(split_symbol_definition) ).
fof(f245,plain,
( c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X
| spl0_1 ),
inference(resolution,[status(thm)],[f238,f23]) ).
fof(f248,plain,
( spl0_5
| spl0_6
| spl0_1 ),
inference(split_clause,[status(thm)],[f247,f241,f244,f184]) ).
fof(f253,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f242,f21]) ).
fof(f254,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f253]) ).
fof(f260,plain,
( ~ c_in(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_6
| spl0_3 ),
inference(backward_demodulation,[status(thm)],[f245,f194]) ).
fof(f261,plain,
( $false
| ~ spl0_6
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f260,f14]) ).
fof(f262,plain,
( ~ spl0_6
| spl0_3 ),
inference(contradiction_clause,[status(thm)],[f261]) ).
fof(f263,plain,
$false,
inference(sat_refutation,[status(thm)],[f196,f198,f223,f248,f254,f262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SWV275-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34 % Computer : n023.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Tue May 30 11:56:08 EDT 2023
% 0.10/0.34 % CPUTime :
% 0.10/0.35 % Drodi V3.5.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.40 % Elapsed time: 0.055929 seconds
% 0.10/0.40 % CPU time: 0.101084 seconds
% 0.10/0.40 % Memory used: 11.397 MB
%------------------------------------------------------------------------------