TSTP Solution File: SEU418+4 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU418+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 176.31s 28.13s
% Output : CNFRefutation 188.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 55 ( 15 unt; 0 def)
% Number of atoms : 129 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 122 ( 48 ~; 47 |; 7 &)
% ( 7 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 48 (; 45 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f86,axiom,
! [A,B] : r1_tarski(k3_xboole_0(A,B),A),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f700,axiom,
! [A,B] :
( v1_relat_1(B)
=> ( r1_tarski(A,B)
=> v1_relat_1(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f753,axiom,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> ( r1_tarski(A,B)
=> r1_tarski(k5_relat_1(A,C),k5_relat_1(B,C)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71086,conjecture,
! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> r1_tarski(k5_relat_1(k3_xboole_0(A,B),C),k3_xboole_0(k5_relat_1(A,C),k5_relat_1(B,C))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71087,negated_conjecture,
~ ! [A] :
( v1_relat_1(A)
=> ! [B] :
( v1_relat_1(B)
=> ! [C] :
( v1_relat_1(C)
=> r1_tarski(k5_relat_1(k3_xboole_0(A,B),C),k3_xboole_0(k5_relat_1(A,C),k5_relat_1(B,C))) ) ) ),
inference(negated_conjecture,[status(cth)],[f71086]) ).
fof(f71296,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f71347,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
inference(cnf_transformation,[status(esa)],[f86]) ).
fof(f71351,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(f71352,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)],[f71351]) ).
fof(f72616,plain,
! [A,B] :
( ~ v1_relat_1(B)
| ~ r1_tarski(A,B)
| v1_relat_1(A) ),
inference(pre_NNF_transformation,[status(esa)],[f700]) ).
fof(f72617,plain,
! [B] :
( ~ v1_relat_1(B)
| ! [A] :
( ~ r1_tarski(A,B)
| v1_relat_1(A) ) ),
inference(miniscoping,[status(esa)],[f72616]) ).
fof(f72618,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ r1_tarski(X1,X0)
| v1_relat_1(X1) ),
inference(cnf_transformation,[status(esa)],[f72617]) ).
fof(f72754,plain,
! [A] :
( ~ v1_relat_1(A)
| ! [B] :
( ~ v1_relat_1(B)
| ! [C] :
( ~ v1_relat_1(C)
| ~ r1_tarski(A,B)
| r1_tarski(k5_relat_1(A,C),k5_relat_1(B,C)) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f753]) ).
fof(f72755,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(k5_relat_1(X0,X2),k5_relat_1(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f72754]) ).
fof(f335918,plain,
? [A] :
( v1_relat_1(A)
& ? [B] :
( v1_relat_1(B)
& ? [C] :
( v1_relat_1(C)
& ~ r1_tarski(k5_relat_1(k3_xboole_0(A,B),C),k3_xboole_0(k5_relat_1(A,C),k5_relat_1(B,C))) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f71087]) ).
fof(f335919,plain,
( v1_relat_1(sk0_23834)
& v1_relat_1(sk0_23835)
& v1_relat_1(sk0_23836)
& ~ r1_tarski(k5_relat_1(k3_xboole_0(sk0_23834,sk0_23835),sk0_23836),k3_xboole_0(k5_relat_1(sk0_23834,sk0_23836),k5_relat_1(sk0_23835,sk0_23836))) ),
inference(skolemization,[status(esa)],[f335918]) ).
fof(f335920,plain,
v1_relat_1(sk0_23834),
inference(cnf_transformation,[status(esa)],[f335919]) ).
fof(f335921,plain,
v1_relat_1(sk0_23835),
inference(cnf_transformation,[status(esa)],[f335919]) ).
fof(f335922,plain,
v1_relat_1(sk0_23836),
inference(cnf_transformation,[status(esa)],[f335919]) ).
fof(f335923,plain,
~ r1_tarski(k5_relat_1(k3_xboole_0(sk0_23834,sk0_23835),sk0_23836),k3_xboole_0(k5_relat_1(sk0_23834,sk0_23836),k5_relat_1(sk0_23835,sk0_23836))),
inference(cnf_transformation,[status(esa)],[f335919]) ).
fof(f402612,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X1),
inference(paramodulation,[status(thm)],[f71296,f71347]) ).
fof(f402903,plain,
( spl0_6188
<=> r1_tarski(k5_relat_1(k3_xboole_0(sk0_23834,sk0_23835),sk0_23836),k5_relat_1(sk0_23834,sk0_23836)) ),
introduced(split_symbol_definition) ).
fof(f402905,plain,
( ~ r1_tarski(k5_relat_1(k3_xboole_0(sk0_23834,sk0_23835),sk0_23836),k5_relat_1(sk0_23834,sk0_23836))
| spl0_6188 ),
inference(component_clause,[status(thm)],[f402903]) ).
fof(f402906,plain,
( spl0_6189
<=> r1_tarski(k5_relat_1(k3_xboole_0(sk0_23834,sk0_23835),sk0_23836),k5_relat_1(sk0_23835,sk0_23836)) ),
introduced(split_symbol_definition) ).
fof(f402908,plain,
( ~ r1_tarski(k5_relat_1(k3_xboole_0(sk0_23834,sk0_23835),sk0_23836),k5_relat_1(sk0_23835,sk0_23836))
| spl0_6189 ),
inference(component_clause,[status(thm)],[f402906]) ).
fof(f402909,plain,
( ~ r1_tarski(k5_relat_1(k3_xboole_0(sk0_23834,sk0_23835),sk0_23836),k5_relat_1(sk0_23834,sk0_23836))
| ~ r1_tarski(k5_relat_1(k3_xboole_0(sk0_23834,sk0_23835),sk0_23836),k5_relat_1(sk0_23835,sk0_23836)) ),
inference(resolution,[status(thm)],[f71352,f335923]) ).
fof(f402910,plain,
( ~ spl0_6188
| ~ spl0_6189 ),
inference(split_clause,[status(thm)],[f402909,f402903,f402906]) ).
fof(f411573,plain,
( spl0_6280
<=> v1_relat_1(sk0_23836) ),
introduced(split_symbol_definition) ).
fof(f411575,plain,
( ~ v1_relat_1(sk0_23836)
| spl0_6280 ),
inference(component_clause,[status(thm)],[f411573]) ).
fof(f411580,plain,
( $false
| spl0_6280 ),
inference(forward_subsumption_resolution,[status(thm)],[f411575,f335922]) ).
fof(f411581,plain,
spl0_6280,
inference(contradiction_clause,[status(thm)],[f411580]) ).
fof(f413024,plain,
! [X0,X1,X2] :
( ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X0)
| r1_tarski(k5_relat_1(X2,X1),k5_relat_1(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f72755,f72618]) ).
fof(f413025,plain,
( spl0_6304
<=> v1_relat_1(sk0_23834) ),
introduced(split_symbol_definition) ).
fof(f413027,plain,
( ~ v1_relat_1(sk0_23834)
| spl0_6304 ),
inference(component_clause,[status(thm)],[f413025]) ).
fof(f413028,plain,
( spl0_6305
<=> r1_tarski(k3_xboole_0(sk0_23834,sk0_23835),sk0_23834) ),
introduced(split_symbol_definition) ).
fof(f413030,plain,
( ~ r1_tarski(k3_xboole_0(sk0_23834,sk0_23835),sk0_23834)
| spl0_6305 ),
inference(component_clause,[status(thm)],[f413028]) ).
fof(f413031,plain,
( ~ v1_relat_1(sk0_23834)
| ~ v1_relat_1(sk0_23836)
| ~ r1_tarski(k3_xboole_0(sk0_23834,sk0_23835),sk0_23834)
| spl0_6188 ),
inference(resolution,[status(thm)],[f413024,f402905]) ).
fof(f413032,plain,
( ~ spl0_6304
| ~ spl0_6280
| ~ spl0_6305
| spl0_6188 ),
inference(split_clause,[status(thm)],[f413031,f413025,f411573,f413028,f402903]) ).
fof(f413048,plain,
( $false
| spl0_6304 ),
inference(forward_subsumption_resolution,[status(thm)],[f413027,f335920]) ).
fof(f413049,plain,
spl0_6304,
inference(contradiction_clause,[status(thm)],[f413048]) ).
fof(f413050,plain,
( $false
| spl0_6305 ),
inference(forward_subsumption_resolution,[status(thm)],[f413030,f71347]) ).
fof(f413051,plain,
spl0_6305,
inference(contradiction_clause,[status(thm)],[f413050]) ).
fof(f413314,plain,
( spl0_6314
<=> v1_relat_1(sk0_23835) ),
introduced(split_symbol_definition) ).
fof(f413316,plain,
( ~ v1_relat_1(sk0_23835)
| spl0_6314 ),
inference(component_clause,[status(thm)],[f413314]) ).
fof(f413317,plain,
( spl0_6315
<=> r1_tarski(k3_xboole_0(sk0_23834,sk0_23835),sk0_23835) ),
introduced(split_symbol_definition) ).
fof(f413319,plain,
( ~ r1_tarski(k3_xboole_0(sk0_23834,sk0_23835),sk0_23835)
| spl0_6315 ),
inference(component_clause,[status(thm)],[f413317]) ).
fof(f413325,plain,
( ~ v1_relat_1(sk0_23835)
| ~ v1_relat_1(sk0_23836)
| ~ r1_tarski(k3_xboole_0(sk0_23834,sk0_23835),sk0_23835)
| spl0_6189 ),
inference(resolution,[status(thm)],[f402908,f413024]) ).
fof(f413326,plain,
( ~ spl0_6314
| ~ spl0_6280
| ~ spl0_6315
| spl0_6189 ),
inference(split_clause,[status(thm)],[f413325,f413314,f411573,f413317,f402906]) ).
fof(f413330,plain,
( $false
| spl0_6314 ),
inference(forward_subsumption_resolution,[status(thm)],[f413316,f335921]) ).
fof(f413331,plain,
spl0_6314,
inference(contradiction_clause,[status(thm)],[f413330]) ).
fof(f413332,plain,
( $false
| spl0_6315 ),
inference(forward_subsumption_resolution,[status(thm)],[f413319,f402612]) ).
fof(f413333,plain,
spl0_6315,
inference(contradiction_clause,[status(thm)],[f413332]) ).
fof(f413334,plain,
$false,
inference(sat_refutation,[status(thm)],[f402910,f411581,f413032,f413049,f413051,f413326,f413331,f413333]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU418+4 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:38:27 EDT 2023
% 0.13/0.34 % CPUTime :
% 6.54/6.71 % Drodi V3.5.1
% 176.31/28.13 % Refutation found
% 176.31/28.13 % SZS status Theorem for theBenchmark: Theorem is valid
% 176.31/28.13 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 188.76/29.73 % Elapsed time: 29.153234 seconds
% 188.76/29.73 % CPU time: 180.165372 seconds
% 188.76/29.73 % Memory used: 20.871 GB
%------------------------------------------------------------------------------