TSTP Solution File: SWV240-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV240-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 20:46:19 EDT 2024
% Result : Unsatisfiable 32.09s 4.53s
% Output : CNFRefutation 32.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 17 ~; 18 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f109,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/sandbox/benchmark/theBenchmark.p') ).
fof(f110,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/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(f1377,axiom,
! [V_X,V_H] :
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1398,axiom,
! [V_H,V_H_H,V_G,V_G_H] :
( ~ c_lessequals(c_Message_Oanalz(V_H),c_Message_Oanalz(V_H_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_G_H),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(V_G_H,V_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1400,negated_conjecture,
~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1541,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)],[f109]) ).
fof(f1542,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)],[f110]) ).
fof(f1545,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[status(esa)],[f112]) ).
fof(f2901,plain,
! [X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f1377]) ).
fof(f2927,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(X3),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Oanalz(c_union(X2,X0,tc_Message_Omsg)),c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f1398]) ).
fof(f2929,plain,
~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f1400]) ).
fof(f2937,plain,
( spl0_1
<=> c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f2939,plain,
( ~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg))
| spl0_1 ),
inference(component_clause,[status(thm)],[f2937]) ).
fof(f2940,plain,
( spl0_2
<=> c_lessequals(c_Message_Oanalz(v_G),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)) ),
introduced(split_symbol_definition) ).
fof(f2942,plain,
( ~ c_lessequals(c_Message_Oanalz(v_G),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg))
| spl0_2 ),
inference(component_clause,[status(thm)],[f2940]) ).
fof(f2943,plain,
( ~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(v_G),c_Message_Oanalz(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f2927,f2929]) ).
fof(f2944,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f2943,f2937,f2940]) ).
fof(f2949,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f2939,f1545]) ).
fof(f2950,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f2949]) ).
fof(f16217,plain,
! [X0,X1] :
( c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oanalz(X1),tc_Message_Omsg),X1,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f1542,f2901]) ).
fof(f16486,plain,
! [X0] :
( c_lessequals(X0,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
| c_lessequals(X0,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[f16217,f1541]) ).
fof(f16487,plain,
! [X0] : c_lessequals(X0,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)),
inference(duplicate_literals_removal,[status(esa)],[f16486]) ).
fof(f16514,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f2942,f16487]) ).
fof(f16515,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f16514]) ).
fof(f16516,plain,
$false,
inference(sat_refutation,[status(thm)],[f2944,f2950,f16515]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV240-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 00:49:04 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.37 % Drodi V3.6.0
% 32.09/4.53 % Refutation found
% 32.09/4.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 32.09/4.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 33.41/4.65 % Elapsed time: 4.302158 seconds
% 33.41/4.65 % CPU time: 33.439122 seconds
% 33.41/4.65 % Total memory used: 468.377 MB
% 33.41/4.65 % Net memory used: 463.425 MB
%------------------------------------------------------------------------------