TSTP Solution File: SEU418+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU418+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 20:42:17 EDT 2024
% Result : Theorem 25.39s 5.69s
% Output : CNFRefutation 28.50s
% 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(f19075,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(f19076,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)],[f19075]) ).
fof(f19285,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f19336,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
inference(cnf_transformation,[status(esa)],[f86]) ).
fof(f19340,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(f19341,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)],[f19340]) ).
fof(f20605,plain,
! [A,B] :
( ~ v1_relat_1(B)
| ~ r1_tarski(A,B)
| v1_relat_1(A) ),
inference(pre_NNF_transformation,[status(esa)],[f700]) ).
fof(f20606,plain,
! [B] :
( ~ v1_relat_1(B)
| ! [A] :
( ~ r1_tarski(A,B)
| v1_relat_1(A) ) ),
inference(miniscoping,[status(esa)],[f20605]) ).
fof(f20607,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ r1_tarski(X1,X0)
| v1_relat_1(X1) ),
inference(cnf_transformation,[status(esa)],[f20606]) ).
fof(f20743,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(f20744,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)],[f20743]) ).
fof(f89215,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)],[f19076]) ).
fof(f89216,plain,
( v1_relat_1(sk0_6521)
& v1_relat_1(sk0_6522)
& v1_relat_1(sk0_6523)
& ~ r1_tarski(k5_relat_1(k3_xboole_0(sk0_6521,sk0_6522),sk0_6523),k3_xboole_0(k5_relat_1(sk0_6521,sk0_6523),k5_relat_1(sk0_6522,sk0_6523))) ),
inference(skolemization,[status(esa)],[f89215]) ).
fof(f89217,plain,
v1_relat_1(sk0_6521),
inference(cnf_transformation,[status(esa)],[f89216]) ).
fof(f89218,plain,
v1_relat_1(sk0_6522),
inference(cnf_transformation,[status(esa)],[f89216]) ).
fof(f89219,plain,
v1_relat_1(sk0_6523),
inference(cnf_transformation,[status(esa)],[f89216]) ).
fof(f89220,plain,
~ r1_tarski(k5_relat_1(k3_xboole_0(sk0_6521,sk0_6522),sk0_6523),k3_xboole_0(k5_relat_1(sk0_6521,sk0_6523),k5_relat_1(sk0_6522,sk0_6523))),
inference(cnf_transformation,[status(esa)],[f89216]) ).
fof(f108318,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X1),
inference(paramodulation,[status(thm)],[f19285,f19336]) ).
fof(f108492,plain,
( spl0_2353
<=> r1_tarski(k5_relat_1(k3_xboole_0(sk0_6521,sk0_6522),sk0_6523),k5_relat_1(sk0_6521,sk0_6523)) ),
introduced(split_symbol_definition) ).
fof(f108494,plain,
( ~ r1_tarski(k5_relat_1(k3_xboole_0(sk0_6521,sk0_6522),sk0_6523),k5_relat_1(sk0_6521,sk0_6523))
| spl0_2353 ),
inference(component_clause,[status(thm)],[f108492]) ).
fof(f108495,plain,
( spl0_2354
<=> r1_tarski(k5_relat_1(k3_xboole_0(sk0_6521,sk0_6522),sk0_6523),k5_relat_1(sk0_6522,sk0_6523)) ),
introduced(split_symbol_definition) ).
fof(f108497,plain,
( ~ r1_tarski(k5_relat_1(k3_xboole_0(sk0_6521,sk0_6522),sk0_6523),k5_relat_1(sk0_6522,sk0_6523))
| spl0_2354 ),
inference(component_clause,[status(thm)],[f108495]) ).
fof(f108498,plain,
( ~ r1_tarski(k5_relat_1(k3_xboole_0(sk0_6521,sk0_6522),sk0_6523),k5_relat_1(sk0_6521,sk0_6523))
| ~ r1_tarski(k5_relat_1(k3_xboole_0(sk0_6521,sk0_6522),sk0_6523),k5_relat_1(sk0_6522,sk0_6523)) ),
inference(resolution,[status(thm)],[f19341,f89220]) ).
fof(f108499,plain,
( ~ spl0_2353
| ~ spl0_2354 ),
inference(split_clause,[status(thm)],[f108498,f108492,f108495]) ).
fof(f111235,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)],[f20744,f20607]) ).
fof(f111236,plain,
( spl0_2408
<=> v1_relat_1(sk0_6522) ),
introduced(split_symbol_definition) ).
fof(f111238,plain,
( ~ v1_relat_1(sk0_6522)
| spl0_2408 ),
inference(component_clause,[status(thm)],[f111236]) ).
fof(f111239,plain,
( spl0_2409
<=> v1_relat_1(sk0_6523) ),
introduced(split_symbol_definition) ).
fof(f111241,plain,
( ~ v1_relat_1(sk0_6523)
| spl0_2409 ),
inference(component_clause,[status(thm)],[f111239]) ).
fof(f111242,plain,
( spl0_2410
<=> r1_tarski(k3_xboole_0(sk0_6521,sk0_6522),sk0_6522) ),
introduced(split_symbol_definition) ).
fof(f111244,plain,
( ~ r1_tarski(k3_xboole_0(sk0_6521,sk0_6522),sk0_6522)
| spl0_2410 ),
inference(component_clause,[status(thm)],[f111242]) ).
fof(f111245,plain,
( ~ v1_relat_1(sk0_6522)
| ~ v1_relat_1(sk0_6523)
| ~ r1_tarski(k3_xboole_0(sk0_6521,sk0_6522),sk0_6522)
| spl0_2354 ),
inference(resolution,[status(thm)],[f111235,f108497]) ).
fof(f111246,plain,
( ~ spl0_2408
| ~ spl0_2409
| ~ spl0_2410
| spl0_2354 ),
inference(split_clause,[status(thm)],[f111245,f111236,f111239,f111242,f108495]) ).
fof(f111247,plain,
( spl0_2411
<=> v1_relat_1(sk0_6521) ),
introduced(split_symbol_definition) ).
fof(f111249,plain,
( ~ v1_relat_1(sk0_6521)
| spl0_2411 ),
inference(component_clause,[status(thm)],[f111247]) ).
fof(f111250,plain,
( spl0_2412
<=> r1_tarski(k3_xboole_0(sk0_6521,sk0_6522),sk0_6521) ),
introduced(split_symbol_definition) ).
fof(f111252,plain,
( ~ r1_tarski(k3_xboole_0(sk0_6521,sk0_6522),sk0_6521)
| spl0_2412 ),
inference(component_clause,[status(thm)],[f111250]) ).
fof(f111253,plain,
( ~ v1_relat_1(sk0_6521)
| ~ v1_relat_1(sk0_6523)
| ~ r1_tarski(k3_xboole_0(sk0_6521,sk0_6522),sk0_6521)
| spl0_2353 ),
inference(resolution,[status(thm)],[f111235,f108494]) ).
fof(f111254,plain,
( ~ spl0_2411
| ~ spl0_2409
| ~ spl0_2412
| spl0_2353 ),
inference(split_clause,[status(thm)],[f111253,f111247,f111239,f111250,f108492]) ).
fof(f111260,plain,
( $false
| spl0_2412 ),
inference(forward_subsumption_resolution,[status(thm)],[f111252,f19336]) ).
fof(f111261,plain,
spl0_2412,
inference(contradiction_clause,[status(thm)],[f111260]) ).
fof(f111262,plain,
( $false
| spl0_2411 ),
inference(forward_subsumption_resolution,[status(thm)],[f111249,f89217]) ).
fof(f111263,plain,
spl0_2411,
inference(contradiction_clause,[status(thm)],[f111262]) ).
fof(f111264,plain,
( $false
| spl0_2410 ),
inference(forward_subsumption_resolution,[status(thm)],[f111244,f108318]) ).
fof(f111265,plain,
spl0_2410,
inference(contradiction_clause,[status(thm)],[f111264]) ).
fof(f111266,plain,
( $false
| spl0_2408 ),
inference(forward_subsumption_resolution,[status(thm)],[f111238,f89218]) ).
fof(f111267,plain,
spl0_2408,
inference(contradiction_clause,[status(thm)],[f111266]) ).
fof(f111268,plain,
( $false
| spl0_2409 ),
inference(forward_subsumption_resolution,[status(thm)],[f111241,f89219]) ).
fof(f111269,plain,
spl0_2409,
inference(contradiction_clause,[status(thm)],[f111268]) ).
fof(f111270,plain,
$false,
inference(sat_refutation,[status(thm)],[f108499,f111246,f111254,f111261,f111263,f111265,f111267,f111269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU418+3 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n014.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Apr 29 19:35:51 EDT 2024
% 0.10/0.34 % CPUTime :
% 2.51/2.70 % Drodi V3.6.0
% 25.39/5.69 % Refutation found
% 25.39/5.69 % SZS status Theorem for theBenchmark: Theorem is valid
% 25.39/5.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 29.20/6.15 % Elapsed time: 5.761456 seconds
% 29.20/6.15 % CPU time: 26.862005 seconds
% 29.20/6.15 % Total memory used: 5.222 GB
% 29.20/6.15 % Net memory used: 5.200 GB
%------------------------------------------------------------------------------