TSTP Solution File: SET838-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET838-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:35:19 EDT 2023
% Result : Unsatisfiable 0.06s 0.29s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 5 unt; 0 def)
% Number of atoms : 61 ( 29 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 61 ( 30 ~; 27 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 6 (; 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1358,negated_conjecture,
v_f(v_g(v_x)) = v_x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1359,negated_conjecture,
! [V_U] :
( V_U = v_x
| v_f(v_g(V_U)) != V_U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1360,negated_conjecture,
! [V_U] :
( v_g(v_f(v_xa(V_U))) = v_xa(V_U)
| v_g(v_f(V_U)) != V_U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1361,negated_conjecture,
! [V_U] :
( v_xa(V_U) != V_U
| v_g(v_f(V_U)) != V_U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2837,plain,
v_f(v_g(v_x)) = v_x,
inference(cnf_transformation,[status(esa)],[f1358]) ).
fof(f2838,plain,
! [X0] :
( X0 = v_x
| v_f(v_g(X0)) != X0 ),
inference(cnf_transformation,[status(esa)],[f1359]) ).
fof(f2839,plain,
! [X0] :
( v_g(v_f(v_xa(X0))) = v_xa(X0)
| v_g(v_f(X0)) != X0 ),
inference(cnf_transformation,[status(esa)],[f1360]) ).
fof(f2840,plain,
! [X0] :
( v_xa(X0) != X0
| v_g(v_f(X0)) != X0 ),
inference(cnf_transformation,[status(esa)],[f1361]) ).
fof(f2846,plain,
( spl0_1
<=> v_g(v_f(v_xa(v_g(v_x)))) = v_xa(v_g(v_x)) ),
introduced(split_symbol_definition) ).
fof(f2847,plain,
( v_g(v_f(v_xa(v_g(v_x)))) = v_xa(v_g(v_x))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f2846]) ).
fof(f2849,plain,
( spl0_2
<=> v_g(v_x) = v_g(v_x) ),
introduced(split_symbol_definition) ).
fof(f2851,plain,
( v_g(v_x) != v_g(v_x)
| spl0_2 ),
inference(component_clause,[status(thm)],[f2849]) ).
fof(f2852,plain,
( v_g(v_f(v_xa(v_g(v_x)))) = v_xa(v_g(v_x))
| v_g(v_x) != v_g(v_x) ),
inference(paramodulation,[status(thm)],[f2837,f2839]) ).
fof(f2853,plain,
( spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f2852,f2846,f2849]) ).
fof(f2854,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f2851]) ).
fof(f2855,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f2854]) ).
fof(f2867,plain,
( spl0_5
<=> v_f(v_xa(v_g(v_x))) = v_x ),
introduced(split_symbol_definition) ).
fof(f2868,plain,
( v_f(v_xa(v_g(v_x))) = v_x
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f2867]) ).
fof(f2870,plain,
( spl0_6
<=> v_f(v_xa(v_g(v_x))) = v_f(v_xa(v_g(v_x))) ),
introduced(split_symbol_definition) ).
fof(f2872,plain,
( v_f(v_xa(v_g(v_x))) != v_f(v_xa(v_g(v_x)))
| spl0_6 ),
inference(component_clause,[status(thm)],[f2870]) ).
fof(f2873,plain,
( v_f(v_xa(v_g(v_x))) = v_x
| v_f(v_xa(v_g(v_x))) != v_f(v_xa(v_g(v_x)))
| ~ spl0_1 ),
inference(paramodulation,[status(thm)],[f2847,f2838]) ).
fof(f2874,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f2873,f2867,f2870,f2846]) ).
fof(f2877,plain,
( $false
| spl0_6 ),
inference(trivial_equality_resolution,[status(esa)],[f2872]) ).
fof(f2878,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f2877]) ).
fof(f2879,plain,
( v_g(v_x) = v_xa(v_g(v_x))
| ~ spl0_5
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f2868,f2847]) ).
fof(f2886,plain,
( v_g(v_f(v_g(v_x))) != v_g(v_x)
| ~ spl0_5
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f2879,f2840]) ).
fof(f2887,plain,
( v_g(v_x) != v_g(v_x)
| ~ spl0_5
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f2837,f2886]) ).
fof(f2888,plain,
( $false
| ~ spl0_5
| ~ spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f2887]) ).
fof(f2889,plain,
( ~ spl0_5
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f2888]) ).
fof(f2890,plain,
$false,
inference(sat_refutation,[status(thm)],[f2853,f2855,f2874,f2878,f2889]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SET838-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n026.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 30 10:29:13 EDT 2023
% 0.06/0.25 % CPUTime :
% 0.06/0.27 % Drodi V3.5.1
% 0.06/0.29 % Refutation found
% 0.06/0.29 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.29 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.30 % Elapsed time: 0.039296 seconds
% 0.06/0.30 % CPU time: 0.058453 seconds
% 0.06/0.30 % Memory used: 25.890 MB
%------------------------------------------------------------------------------