TSTP Solution File: GEO082-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO082-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:07:42 EDT 2023
% Result : Unsatisfiable 0.20s 0.47s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 54 ( 11 unt; 0 def)
% Number of atoms : 126 ( 40 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 124 ( 52 ~; 68 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 52 (; 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( ~ part_of(A,B)
| ~ incident_c(C,A)
| incident_c(C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] :
( incident_c(ax0_sk2(A,B,C),C)
| incident_c(ax0_sk2(A,B,C),B)
| incident_c(ax0_sk2(A,B,C),A)
| C = sum(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B,C] :
( ~ incident_c(ax0_sk2(A,B,C),B)
| ~ incident_c(ax0_sk2(A,B,C),C)
| C = sum(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B,C] :
( ~ incident_c(ax0_sk2(A,B,C),A)
| ~ incident_c(ax0_sk2(A,B,C),C)
| C = sum(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
part_of(sk14,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
part_of(sk15,sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
sk14 != sk15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,plain,
! [B,C] :
( ! [A] :
( ~ part_of(A,B)
| ~ incident_c(C,A) )
| incident_c(C,B) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ part_of(X0,X1)
| ~ incident_c(X2,X0)
| incident_c(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f62,plain,
! [X0,X1,X2] :
( incident_c(ax0_sk2(X0,X1,X2),X2)
| incident_c(ax0_sk2(X0,X1,X2),X1)
| incident_c(ax0_sk2(X0,X1,X2),X0)
| X2 = sum(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ~ incident_c(ax0_sk2(X0,X1,X2),X1)
| ~ incident_c(ax0_sk2(X0,X1,X2),X2)
| X2 = sum(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ incident_c(ax0_sk2(X0,X1,X2),X0)
| ~ incident_c(ax0_sk2(X0,X1,X2),X2)
| X2 = sum(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f116,plain,
part_of(sk14,sk15),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f117,plain,
part_of(sk15,sk14),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f118,plain,
sk14 != sk15,
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f183,plain,
! [X0] :
( incident_c(ax0_sk2(X0,X0,X0),X0)
| X0 = sum(X0,X0) ),
inference(factoring,[status(esa)],[f62]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( ~ incident_c(ax0_sk2(X0,X1,X2),X1)
| X2 = sum(X1,X0)
| ~ part_of(X3,X2)
| ~ incident_c(ax0_sk2(X0,X1,X2),X3) ),
inference(resolution,[status(thm)],[f66,f53]) ).
fof(f443,plain,
! [X0,X1] :
( ~ incident_c(ax0_sk2(X0,X1,sk14),X1)
| sk14 = sum(X1,X0)
| ~ incident_c(ax0_sk2(X0,X1,sk14),sk15) ),
inference(resolution,[status(thm)],[f192,f117]) ).
fof(f449,plain,
( spl0_34
<=> sk14 = sum(sk15,sk15) ),
introduced(split_symbol_definition) ).
fof(f450,plain,
( sk14 = sum(sk15,sk15)
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,plain,
( spl0_35
<=> incident_c(ax0_sk2(sk15,sk15,sk14),sk14) ),
introduced(split_symbol_definition) ).
fof(f453,plain,
( incident_c(ax0_sk2(sk15,sk15,sk14),sk14)
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f459,plain,
! [X0] :
( ~ incident_c(ax0_sk2(X0,sk15,sk14),sk15)
| sk14 = sum(sk15,X0)
| incident_c(ax0_sk2(X0,sk15,sk14),sk14)
| incident_c(ax0_sk2(X0,sk15,sk14),X0)
| sk14 = sum(sk15,X0) ),
inference(resolution,[status(thm)],[f443,f62]) ).
fof(f460,plain,
! [X0] :
( ~ incident_c(ax0_sk2(X0,sk15,sk14),sk15)
| sk14 = sum(sk15,X0)
| incident_c(ax0_sk2(X0,sk15,sk14),sk14)
| incident_c(ax0_sk2(X0,sk15,sk14),X0) ),
inference(duplicate_literals_removal,[status(esa)],[f459]) ).
fof(f461,plain,
! [X0] :
( sk14 = sum(sk15,X0)
| incident_c(ax0_sk2(X0,sk15,sk14),sk14)
| incident_c(ax0_sk2(X0,sk15,sk14),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f460,f62]) ).
fof(f466,plain,
( spl0_37
<=> sk15 = sum(sk14,sk14) ),
introduced(split_symbol_definition) ).
fof(f467,plain,
( sk15 = sum(sk14,sk14)
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f488,plain,
! [X0] :
( sk14 = sum(sk15,X0)
| incident_c(ax0_sk2(X0,sk15,sk14),X0)
| ~ incident_c(ax0_sk2(X0,sk15,sk14),sk15)
| sk14 = sum(sk15,X0) ),
inference(resolution,[status(thm)],[f461,f66]) ).
fof(f489,plain,
! [X0] :
( sk14 = sum(sk15,X0)
| incident_c(ax0_sk2(X0,sk15,sk14),X0)
| ~ incident_c(ax0_sk2(X0,sk15,sk14),sk15) ),
inference(duplicate_literals_removal,[status(esa)],[f488]) ).
fof(f580,plain,
! [X0] :
( X0 = sum(X0,X0)
| ~ incident_c(ax0_sk2(X0,X0,X0),X0)
| X0 = sum(X0,X0) ),
inference(resolution,[status(thm)],[f183,f66]) ).
fof(f581,plain,
! [X0] :
( X0 = sum(X0,X0)
| ~ incident_c(ax0_sk2(X0,X0,X0),X0) ),
inference(duplicate_literals_removal,[status(esa)],[f580]) ).
fof(f582,plain,
! [X0] : X0 = sum(X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f581,f183]) ).
fof(f607,plain,
! [X0,X1,X2,X3] :
( ~ incident_c(ax0_sk2(X0,X1,X2),X0)
| X2 = sum(X1,X0)
| ~ part_of(X3,X2)
| ~ incident_c(ax0_sk2(X0,X1,X2),X3) ),
inference(resolution,[status(thm)],[f67,f53]) ).
fof(f702,plain,
( sk14 = sk15
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f582,f450]) ).
fof(f703,plain,
( $false
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f702,f118]) ).
fof(f704,plain,
~ spl0_34,
inference(contradiction_clause,[status(thm)],[f703]) ).
fof(f752,plain,
( sk15 = sk14
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f582,f467]) ).
fof(f753,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f752,f118]) ).
fof(f754,plain,
~ spl0_37,
inference(contradiction_clause,[status(thm)],[f753]) ).
fof(f880,plain,
( spl0_63
<=> sk14 = sum(sk15,sum(sk15,sk15)) ),
introduced(split_symbol_definition) ).
fof(f881,plain,
( sk14 = sum(sk15,sum(sk15,sk15))
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f976,plain,
( sk14 = sum(sk15,sk15)
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f582,f881]) ).
fof(f977,plain,
( sk14 = sk15
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f582,f976]) ).
fof(f978,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f977,f118]) ).
fof(f979,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f996,plain,
! [X0,X1] :
( ~ incident_c(ax0_sk2(X0,X1,sk14),X0)
| sk14 = sum(X1,X0)
| ~ incident_c(ax0_sk2(X0,X1,sk14),sk15) ),
inference(resolution,[status(thm)],[f607,f117]) ).
fof(f999,plain,
! [X0] :
( sk14 = sum(sk15,X0)
| ~ incident_c(ax0_sk2(X0,sk15,sk14),sk15) ),
inference(backward_subsumption_resolution,[status(thm)],[f489,f996]) ).
fof(f1031,plain,
( sk14 = sum(sk15,sk15)
| sk14 = sum(sk15,sk15)
| incident_c(ax0_sk2(sk15,sk15,sk14),sk14) ),
inference(resolution,[status(thm)],[f999,f461]) ).
fof(f1032,plain,
( spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f1031,f449,f452]) ).
fof(f1042,plain,
! [X0,X1] :
( sk14 = sum(sk15,X0)
| ~ part_of(X1,sk15)
| ~ incident_c(ax0_sk2(X0,sk15,sk14),X1) ),
inference(resolution,[status(thm)],[f999,f53]) ).
fof(f1046,plain,
! [X0] :
( sk14 = sum(sk15,X0)
| ~ incident_c(ax0_sk2(X0,sk15,sk14),sk14) ),
inference(resolution,[status(thm)],[f1042,f116]) ).
fof(f1050,plain,
( sk14 = sum(sk15,sk15)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f1046,f453]) ).
fof(f1051,plain,
( spl0_34
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f1050,f449,f452]) ).
fof(f1062,plain,
$false,
inference(sat_refutation,[status(thm)],[f704,f754,f979,f1032,f1051]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO082-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.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 12:01:55 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.20/0.47 % Refutation found
% 0.20/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.49 % Elapsed time: 0.142013 seconds
% 0.20/0.49 % CPU time: 0.994596 seconds
% 0.20/0.49 % Memory used: 52.900 MB
%------------------------------------------------------------------------------