TSTP Solution File: SEU420+4 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU420+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 12:37:01 EDT 2023
% Result : Theorem 283.75s 47.68s
% Output : CNFRefutation 296.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 56 ( 13 unt; 0 def)
% Number of atoms : 123 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 114 ( 47 ~; 44 |; 7 &)
% ( 7 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 53 (; 47 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,axiom,
! [A,B] : r1_tarski(k3_xboole_0(A,B),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f88,axiom,
! [A,B,C] :
( ( r1_tarski(A,B)
& r1_tarski(A,C) )
=> r1_tarski(A,k3_xboole_0(B,C)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f708,axiom,
! [A,B] :
( v1_relat_1(B)
=> v1_relat_1(k3_xboole_0(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f866,axiom,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> ( r1_tarski(B,C)
=> r1_tarski(k9_relat_1(B,A),k9_relat_1(C,A)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71092,conjecture,
! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> r1_tarski(k9_relat_1(k3_xboole_0(B,C),k3_pua2mss1(A)),k3_xboole_0(k9_relat_1(B,k3_pua2mss1(A)),k9_relat_1(C,k3_pua2mss1(A)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71093,negated_conjecture,
~ ! [A,B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> r1_tarski(k9_relat_1(k3_xboole_0(B,C),k3_pua2mss1(A)),k3_xboole_0(k9_relat_1(B,k3_pua2mss1(A)),k9_relat_1(C,k3_pua2mss1(A)))) ) ),
inference(negated_conjecture,[status(cth)],[f71092]) ).
fof(f71302,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f71353,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
inference(cnf_transformation,[status(esa)],[f86]) ).
fof(f71357,plain,
! [A,B,C] :
( ~ r1_tarski(A,B)
| ~ r1_tarski(A,C)
| r1_tarski(A,k3_xboole_0(B,C)) ),
inference(pre_NNF_transformation,[status(esa)],[f88]) ).
fof(f71358,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2)
| r1_tarski(X0,k3_xboole_0(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f71357]) ).
fof(f72642,plain,
! [A,B] :
( ~ v1_relat_1(B)
| v1_relat_1(k3_xboole_0(A,B)) ),
inference(pre_NNF_transformation,[status(esa)],[f708]) ).
fof(f72643,plain,
! [B] :
( ~ v1_relat_1(B)
| ! [A] : v1_relat_1(k3_xboole_0(A,B)) ),
inference(miniscoping,[status(esa)],[f72642]) ).
fof(f72644,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| v1_relat_1(k3_xboole_0(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f72643]) ).
fof(f73079,plain,
! [A,B] :
( ~ v1_relat_1(B)
| ! [C] :
( ~ v1_relat_1(C)
| ~ r1_tarski(B,C)
| r1_tarski(k9_relat_1(B,A),k9_relat_1(C,A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f866]) ).
fof(f73080,plain,
! [B] :
( ~ v1_relat_1(B)
| ! [C] :
( ~ v1_relat_1(C)
| ~ r1_tarski(B,C)
| ! [A] : r1_tarski(k9_relat_1(B,A),k9_relat_1(C,A)) ) ),
inference(miniscoping,[status(esa)],[f73079]) ).
fof(f73081,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X0,X1)
| r1_tarski(k9_relat_1(X0,X2),k9_relat_1(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f73080]) ).
fof(f335942,plain,
? [A,B] :
( v1_relat_1(B)
& ? [C] :
( v1_relat_1(C)
& ~ r1_tarski(k9_relat_1(k3_xboole_0(B,C),k3_pua2mss1(A)),k3_xboole_0(k9_relat_1(B,k3_pua2mss1(A)),k9_relat_1(C,k3_pua2mss1(A)))) ) ),
inference(pre_NNF_transformation,[status(esa)],[f71093]) ).
fof(f335943,plain,
? [B] :
( v1_relat_1(B)
& ? [C] :
( v1_relat_1(C)
& ? [A] : ~ r1_tarski(k9_relat_1(k3_xboole_0(B,C),k3_pua2mss1(A)),k3_xboole_0(k9_relat_1(B,k3_pua2mss1(A)),k9_relat_1(C,k3_pua2mss1(A)))) ) ),
inference(miniscoping,[status(esa)],[f335942]) ).
fof(f335944,plain,
( v1_relat_1(sk0_23834)
& v1_relat_1(sk0_23835)
& ~ r1_tarski(k9_relat_1(k3_xboole_0(sk0_23834,sk0_23835),k3_pua2mss1(sk0_23836)),k3_xboole_0(k9_relat_1(sk0_23834,k3_pua2mss1(sk0_23836)),k9_relat_1(sk0_23835,k3_pua2mss1(sk0_23836)))) ),
inference(skolemization,[status(esa)],[f335943]) ).
fof(f335945,plain,
v1_relat_1(sk0_23834),
inference(cnf_transformation,[status(esa)],[f335944]) ).
fof(f335946,plain,
v1_relat_1(sk0_23835),
inference(cnf_transformation,[status(esa)],[f335944]) ).
fof(f335947,plain,
~ r1_tarski(k9_relat_1(k3_xboole_0(sk0_23834,sk0_23835),k3_pua2mss1(sk0_23836)),k3_xboole_0(k9_relat_1(sk0_23834,k3_pua2mss1(sk0_23836)),k9_relat_1(sk0_23835,k3_pua2mss1(sk0_23836)))),
inference(cnf_transformation,[status(esa)],[f335944]) ).
fof(f402636,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X1),
inference(paramodulation,[status(thm)],[f71302,f71353]) ).
fof(f402900,plain,
( spl0_6189
<=> r1_tarski(k9_relat_1(k3_xboole_0(sk0_23834,sk0_23835),k3_pua2mss1(sk0_23836)),k9_relat_1(sk0_23834,k3_pua2mss1(sk0_23836))) ),
introduced(split_symbol_definition) ).
fof(f402902,plain,
( ~ r1_tarski(k9_relat_1(k3_xboole_0(sk0_23834,sk0_23835),k3_pua2mss1(sk0_23836)),k9_relat_1(sk0_23834,k3_pua2mss1(sk0_23836)))
| spl0_6189 ),
inference(component_clause,[status(thm)],[f402900]) ).
fof(f402903,plain,
( spl0_6190
<=> r1_tarski(k9_relat_1(k3_xboole_0(sk0_23834,sk0_23835),k3_pua2mss1(sk0_23836)),k9_relat_1(sk0_23835,k3_pua2mss1(sk0_23836))) ),
introduced(split_symbol_definition) ).
fof(f402905,plain,
( ~ r1_tarski(k9_relat_1(k3_xboole_0(sk0_23834,sk0_23835),k3_pua2mss1(sk0_23836)),k9_relat_1(sk0_23835,k3_pua2mss1(sk0_23836)))
| spl0_6190 ),
inference(component_clause,[status(thm)],[f402903]) ).
fof(f402906,plain,
( ~ r1_tarski(k9_relat_1(k3_xboole_0(sk0_23834,sk0_23835),k3_pua2mss1(sk0_23836)),k9_relat_1(sk0_23834,k3_pua2mss1(sk0_23836)))
| ~ r1_tarski(k9_relat_1(k3_xboole_0(sk0_23834,sk0_23835),k3_pua2mss1(sk0_23836)),k9_relat_1(sk0_23835,k3_pua2mss1(sk0_23836))) ),
inference(resolution,[status(thm)],[f71358,f335947]) ).
fof(f402907,plain,
( ~ spl0_6189
| ~ spl0_6190 ),
inference(split_clause,[status(thm)],[f402906,f402900,f402903]) ).
fof(f403141,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| v1_relat_1(k3_xboole_0(X0,X1)) ),
inference(paramodulation,[status(thm)],[f71302,f72644]) ).
fof(f417468,plain,
( spl0_6415
<=> v1_relat_1(k3_xboole_0(sk0_23834,sk0_23835)) ),
introduced(split_symbol_definition) ).
fof(f417470,plain,
( ~ v1_relat_1(k3_xboole_0(sk0_23834,sk0_23835))
| spl0_6415 ),
inference(component_clause,[status(thm)],[f417468]) ).
fof(f417471,plain,
( spl0_6416
<=> v1_relat_1(sk0_23835) ),
introduced(split_symbol_definition) ).
fof(f417473,plain,
( ~ v1_relat_1(sk0_23835)
| spl0_6416 ),
inference(component_clause,[status(thm)],[f417471]) ).
fof(f417474,plain,
( spl0_6417
<=> r1_tarski(k3_xboole_0(sk0_23834,sk0_23835),sk0_23835) ),
introduced(split_symbol_definition) ).
fof(f417476,plain,
( ~ r1_tarski(k3_xboole_0(sk0_23834,sk0_23835),sk0_23835)
| spl0_6417 ),
inference(component_clause,[status(thm)],[f417474]) ).
fof(f417477,plain,
( ~ v1_relat_1(k3_xboole_0(sk0_23834,sk0_23835))
| ~ v1_relat_1(sk0_23835)
| ~ r1_tarski(k3_xboole_0(sk0_23834,sk0_23835),sk0_23835)
| spl0_6190 ),
inference(resolution,[status(thm)],[f73081,f402905]) ).
fof(f417478,plain,
( ~ spl0_6415
| ~ spl0_6416
| ~ spl0_6417
| spl0_6190 ),
inference(split_clause,[status(thm)],[f417477,f417468,f417471,f417474,f402903]) ).
fof(f417479,plain,
( spl0_6418
<=> v1_relat_1(sk0_23834) ),
introduced(split_symbol_definition) ).
fof(f417481,plain,
( ~ v1_relat_1(sk0_23834)
| spl0_6418 ),
inference(component_clause,[status(thm)],[f417479]) ).
fof(f417482,plain,
( spl0_6419
<=> r1_tarski(k3_xboole_0(sk0_23834,sk0_23835),sk0_23834) ),
introduced(split_symbol_definition) ).
fof(f417484,plain,
( ~ r1_tarski(k3_xboole_0(sk0_23834,sk0_23835),sk0_23834)
| spl0_6419 ),
inference(component_clause,[status(thm)],[f417482]) ).
fof(f417485,plain,
( ~ v1_relat_1(k3_xboole_0(sk0_23834,sk0_23835))
| ~ v1_relat_1(sk0_23834)
| ~ r1_tarski(k3_xboole_0(sk0_23834,sk0_23835),sk0_23834)
| spl0_6189 ),
inference(resolution,[status(thm)],[f73081,f402902]) ).
fof(f417486,plain,
( ~ spl0_6415
| ~ spl0_6418
| ~ spl0_6419
| spl0_6189 ),
inference(split_clause,[status(thm)],[f417485,f417468,f417479,f417482,f402900]) ).
fof(f417505,plain,
( $false
| spl0_6419 ),
inference(forward_subsumption_resolution,[status(thm)],[f417484,f71353]) ).
fof(f417506,plain,
spl0_6419,
inference(contradiction_clause,[status(thm)],[f417505]) ).
fof(f417507,plain,
( $false
| spl0_6418 ),
inference(forward_subsumption_resolution,[status(thm)],[f417481,f335945]) ).
fof(f417508,plain,
spl0_6418,
inference(contradiction_clause,[status(thm)],[f417507]) ).
fof(f417509,plain,
( $false
| spl0_6417 ),
inference(forward_subsumption_resolution,[status(thm)],[f417476,f402636]) ).
fof(f417510,plain,
spl0_6417,
inference(contradiction_clause,[status(thm)],[f417509]) ).
fof(f417511,plain,
( $false
| spl0_6416 ),
inference(forward_subsumption_resolution,[status(thm)],[f417473,f335946]) ).
fof(f417512,plain,
spl0_6416,
inference(contradiction_clause,[status(thm)],[f417511]) ).
fof(f417634,plain,
( ~ v1_relat_1(sk0_23834)
| spl0_6415 ),
inference(resolution,[status(thm)],[f417470,f403141]) ).
fof(f417635,plain,
( ~ spl0_6418
| spl0_6415 ),
inference(split_clause,[status(thm)],[f417634,f417479,f417468]) ).
fof(f417638,plain,
$false,
inference(sat_refutation,[status(thm)],[f402907,f417478,f417486,f417506,f417508,f417510,f417512,f417635]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU420+4 : TPTP v8.1.2. Released v3.4.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 09:10:59 EDT 2023
% 0.15/0.31 % CPUTime :
% 13.22/13.44 % Drodi V3.5.1
% 283.75/47.68 % Refutation found
% 283.75/47.68 % SZS status Theorem for theBenchmark: Theorem is valid
% 283.75/47.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 296.11/49.28 % Elapsed time: 48.715436 seconds
% 296.11/49.28 % CPU time: 287.560093 seconds
% 296.11/49.28 % Memory used: 20.958 GB
%------------------------------------------------------------------------------