TSTP Solution File: SEU444+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU444+2 : TPTP v8.1.2. Released v3.4.0.
% 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 : Wed May 31 12:37:08 EDT 2023
% Result : Theorem 0.54s 0.83s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 46 ( 23 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 38 ( 15 ~; 12 |; 6 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 21 (; 18 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4523,axiom,
! [A,B,C] :
( m2_relset_1(C,B,A)
=> ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)
& k2_funct_5(C) = k10_relset_1(B,A,C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4528,conjecture,
! [A,B,C] :
( m2_relset_1(C,B,A)
=> ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)
& k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B)) = k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4529,negated_conjecture,
~ ! [A,B,C] :
( m2_relset_1(C,B,A)
=> ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)
& k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B)) = k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C)) ) ),
inference(negated_conjecture,[status(cth)],[f4528]) ).
fof(f17711,plain,
! [A,B,C] :
( ~ m2_relset_1(C,B,A)
| ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)
& k2_funct_5(C) = k10_relset_1(B,A,C,B) ) ),
inference(pre_NNF_transformation,[status(esa)],[f4523]) ).
fof(f17712,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X0,X1,X2)
| k1_funct_5(X0) = k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),X2) ),
inference(cnf_transformation,[status(esa)],[f17711]) ).
fof(f17713,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X0,X1,X2)
| k2_funct_5(X0) = k10_relset_1(X1,X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f17711]) ).
fof(f17732,plain,
? [A,B,C] :
( m2_relset_1(C,B,A)
& ( k1_funct_5(C) != k10_relset_1(A,B,k6_relset_1(B,A,C),A)
| k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B)) != k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f4529]) ).
fof(f17733,plain,
( m2_relset_1(sk0_1213,sk0_1212,sk0_1211)
& ( k1_funct_5(sk0_1213) != k10_relset_1(sk0_1211,sk0_1212,k6_relset_1(sk0_1212,sk0_1211,sk0_1213),sk0_1211)
| k10_relset_1(sk0_1211,sk0_1212,k6_relset_1(sk0_1212,sk0_1211,sk0_1213),k10_relset_1(sk0_1212,sk0_1211,sk0_1213,sk0_1212)) != k10_relset_1(sk0_1211,sk0_1212,k6_relset_1(sk0_1212,sk0_1211,sk0_1213),k2_funct_5(sk0_1213)) ) ),
inference(skolemization,[status(esa)],[f17732]) ).
fof(f17734,plain,
m2_relset_1(sk0_1213,sk0_1212,sk0_1211),
inference(cnf_transformation,[status(esa)],[f17733]) ).
fof(f17735,plain,
( k1_funct_5(sk0_1213) != k10_relset_1(sk0_1211,sk0_1212,k6_relset_1(sk0_1212,sk0_1211,sk0_1213),sk0_1211)
| k10_relset_1(sk0_1211,sk0_1212,k6_relset_1(sk0_1212,sk0_1211,sk0_1213),k10_relset_1(sk0_1212,sk0_1211,sk0_1213,sk0_1212)) != k10_relset_1(sk0_1211,sk0_1212,k6_relset_1(sk0_1212,sk0_1211,sk0_1213),k2_funct_5(sk0_1213)) ),
inference(cnf_transformation,[status(esa)],[f17733]) ).
fof(f20225,plain,
( spl0_419
<=> k1_funct_5(sk0_1213) = k10_relset_1(sk0_1211,sk0_1212,k6_relset_1(sk0_1212,sk0_1211,sk0_1213),sk0_1211) ),
introduced(split_symbol_definition) ).
fof(f20227,plain,
( k1_funct_5(sk0_1213) != k10_relset_1(sk0_1211,sk0_1212,k6_relset_1(sk0_1212,sk0_1211,sk0_1213),sk0_1211)
| spl0_419 ),
inference(component_clause,[status(thm)],[f20225]) ).
fof(f20228,plain,
( spl0_420
<=> k10_relset_1(sk0_1211,sk0_1212,k6_relset_1(sk0_1212,sk0_1211,sk0_1213),k10_relset_1(sk0_1212,sk0_1211,sk0_1213,sk0_1212)) = k10_relset_1(sk0_1211,sk0_1212,k6_relset_1(sk0_1212,sk0_1211,sk0_1213),k2_funct_5(sk0_1213)) ),
introduced(split_symbol_definition) ).
fof(f20230,plain,
( k10_relset_1(sk0_1211,sk0_1212,k6_relset_1(sk0_1212,sk0_1211,sk0_1213),k10_relset_1(sk0_1212,sk0_1211,sk0_1213,sk0_1212)) != k10_relset_1(sk0_1211,sk0_1212,k6_relset_1(sk0_1212,sk0_1211,sk0_1213),k2_funct_5(sk0_1213))
| spl0_420 ),
inference(component_clause,[status(thm)],[f20228]) ).
fof(f20231,plain,
( ~ spl0_419
| ~ spl0_420 ),
inference(split_clause,[status(thm)],[f17735,f20225,f20228]) ).
fof(f22767,plain,
k2_funct_5(sk0_1213) = k10_relset_1(sk0_1212,sk0_1211,sk0_1213,sk0_1212),
inference(resolution,[status(thm)],[f17713,f17734]) ).
fof(f23099,plain,
( k10_relset_1(sk0_1211,sk0_1212,k6_relset_1(sk0_1212,sk0_1211,sk0_1213),k2_funct_5(sk0_1213)) != k10_relset_1(sk0_1211,sk0_1212,k6_relset_1(sk0_1212,sk0_1211,sk0_1213),k2_funct_5(sk0_1213))
| spl0_420 ),
inference(backward_demodulation,[status(thm)],[f22767,f20230]) ).
fof(f23100,plain,
( $false
| spl0_420 ),
inference(trivial_equality_resolution,[status(esa)],[f23099]) ).
fof(f23101,plain,
spl0_420,
inference(contradiction_clause,[status(thm)],[f23100]) ).
fof(f23908,plain,
k1_funct_5(sk0_1213) = k10_relset_1(sk0_1211,sk0_1212,k6_relset_1(sk0_1212,sk0_1211,sk0_1213),sk0_1211),
inference(resolution,[status(thm)],[f17712,f17734]) ).
fof(f23909,plain,
( $false
| spl0_419 ),
inference(forward_subsumption_resolution,[status(thm)],[f23908,f20227]) ).
fof(f23910,plain,
spl0_419,
inference(contradiction_clause,[status(thm)],[f23909]) ).
fof(f23911,plain,
$false,
inference(sat_refutation,[status(thm)],[f20231,f23101,f23910]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU444+2 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n013.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 09:09:05 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.44/0.66 % Drodi V3.5.1
% 0.54/0.83 % Refutation found
% 0.54/0.83 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.54/0.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.54/0.94 % Elapsed time: 0.606065 seconds
% 0.54/0.94 % CPU time: 1.429641 seconds
% 0.54/0.94 % Memory used: 655.840 MB
%------------------------------------------------------------------------------