TSTP Solution File: GRP092-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP092-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 20:19:12 EDT 2024
% Result : Unsatisfiable 0.18s 0.42s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 9
% Syntax : Number of formulae : 75 ( 50 unt; 0 def)
% Number of atoms : 106 ( 71 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 26 ~; 27 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 100 ( 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : divide(divide(X,Y),divide(divide(X,Z),Y)) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Z] : inverse(X) = divide(divide(Z,Z),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : identity = divide(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(divide(X0,X1),divide(divide(X0,X2),X1)) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1,X2] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0] : identity = divide(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(split_symbol_definition) ).
fof(f13,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f11]) ).
fof(f14,plain,
( spl0_1
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f16,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f14]) ).
fof(f17,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f19,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f17]) ).
fof(f20,plain,
( spl0_3
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(split_symbol_definition) ).
fof(f22,plain,
( multiply(a4,b4) != multiply(b4,a4)
| spl0_3 ),
inference(component_clause,[status(thm)],[f20]) ).
fof(f23,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f10,f11,f14,f17,f20]) ).
fof(f24,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f25,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(backward_demodulation,[status(thm)],[f9,f8]) ).
fof(f26,plain,
! [X0] : inverse(inverse(X0)) = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f24,f25]) ).
fof(f29,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,multiply(identity,X1)),
inference(paramodulation,[status(thm)],[f26,f24]) ).
fof(f37,plain,
! [X0,X1] : divide(inverse(X0),divide(divide(identity,X1),X0)) = X1,
inference(paramodulation,[status(thm)],[f25,f6]) ).
fof(f38,plain,
! [X0,X1] : divide(inverse(X0),divide(inverse(X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f25,f37]) ).
fof(f58,plain,
! [X0,X1] : divide(inverse(divide(inverse(X0),X1)),X0) = X1,
inference(paramodulation,[status(thm)],[f38,f38]) ).
fof(f65,plain,
! [X0,X1,X2] : divide(divide(inverse(X0),X1),divide(X2,X1)) = divide(inverse(X2),X0),
inference(paramodulation,[status(thm)],[f38,f6]) ).
fof(f108,plain,
! [X0,X1,X2] : divide(X0,divide(X1,X2)) = divide(inverse(X1),divide(inverse(X2),X0)),
inference(paramodulation,[status(thm)],[f58,f65]) ).
fof(f116,plain,
! [X0,X1,X2] : divide(divide(multiply(identity,X0),X1),divide(X2,X1)) = divide(inverse(X2),inverse(X0)),
inference(paramodulation,[status(thm)],[f26,f65]) ).
fof(f117,plain,
! [X0,X1,X2] : divide(divide(multiply(identity,X0),X1),divide(X2,X1)) = multiply(inverse(X2),X0),
inference(forward_demodulation,[status(thm)],[f24,f116]) ).
fof(f140,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(backward_demodulation,[status(thm)],[f108,f38]) ).
fof(f143,plain,
! [X0] : inverse(divide(identity,X0)) = X0,
inference(paramodulation,[status(thm)],[f25,f140]) ).
fof(f144,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f25,f143]) ).
fof(f145,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f26,f144]) ).
fof(f150,plain,
! [X0,X1,X2] : divide(divide(X0,X1),X2) = divide(divide(X0,X2),X1),
inference(paramodulation,[status(thm)],[f6,f140]) ).
fof(f156,plain,
! [X0,X1] : divide(X0,multiply(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f24,f140]) ).
fof(f158,plain,
! [X0,X1] : divide(inverse(X0),X1) = divide(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f140,f58]) ).
fof(f169,plain,
! [X0,X1,X2] : divide(divide(X0,X1),divide(X2,X1)) = divide(X0,X2),
inference(paramodulation,[status(thm)],[f140,f6]) ).
fof(f173,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(backward_demodulation,[status(thm)],[f145,f29]) ).
fof(f180,plain,
! [X0,X1,X2] : divide(divide(X0,X1),divide(X2,X1)) = multiply(inverse(X2),X0),
inference(backward_demodulation,[status(thm)],[f145,f117]) ).
fof(f181,plain,
! [X0,X1] : divide(X0,X1) = multiply(inverse(X1),X0),
inference(forward_demodulation,[status(thm)],[f169,f180]) ).
fof(f218,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f173,f156]) ).
fof(f219,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f140,f218]) ).
fof(f226,plain,
! [X0,X1] : divide(X0,inverse(X1)) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f219,f181]) ).
fof(f227,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f24,f226]) ).
fof(f230,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f22,f227]) ).
fof(f231,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f230]) ).
fof(f232,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f227,f19]) ).
fof(f300,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = divide(identity,X1),
inference(paramodulation,[status(thm)],[f9,f150]) ).
fof(f301,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f25,f300]) ).
fof(f376,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f156,f301]) ).
fof(f377,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(paramodulation,[status(thm)],[f140,f301]) ).
fof(f501,plain,
! [X0,X1,X2] : divide(X0,divide(X1,X2)) = inverse(divide(divide(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f150,f377]) ).
fof(f502,plain,
! [X0,X1,X2] : divide(X0,divide(X1,X2)) = divide(X2,divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f377,f501]) ).
fof(f519,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X0,divide(X2,X1)),
inference(paramodulation,[status(thm)],[f377,f173]) ).
fof(f614,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X2),X1)),
inference(paramodulation,[status(thm)],[f376,f24]) ).
fof(f776,plain,
! [X0,X1,X2] : divide(X0,divide(inverse(X1),X2)) = divide(X1,divide(inverse(X2),X0)),
inference(paramodulation,[status(thm)],[f158,f502]) ).
fof(f777,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X2,divide(inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f614,f776]) ).
fof(f778,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f614,f777]) ).
fof(f890,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f232,f778]) ).
fof(f891,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f890]) ).
fof(f892,plain,
( divide(a1,a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f181,f13]) ).
fof(f893,plain,
( identity != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f9,f892]) ).
fof(f894,plain,
( identity != divide(b1,b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f181,f893]) ).
fof(f895,plain,
( identity != identity
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f9,f894]) ).
fof(f896,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f895]) ).
fof(f897,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f896]) ).
fof(f899,plain,
( multiply(a2,multiply(inverse(b2),b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f227,f16]) ).
fof(f900,plain,
( multiply(b2,multiply(a2,inverse(b2))) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f778,f899]) ).
fof(f901,plain,
( multiply(b2,divide(a2,b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f173,f900]) ).
fof(f902,plain,
( divide(b2,divide(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f519,f901]) ).
fof(f903,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f140,f902]) ).
fof(f904,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f903]) ).
fof(f905,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f904]) ).
fof(f906,plain,
$false,
inference(sat_refutation,[status(thm)],[f23,f231,f891,f897,f905]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : GRP092-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.05/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35 % Computer : n011.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Apr 30 00:34:16 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.18/0.42 % Refutation found
% 0.18/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.44 % Elapsed time: 0.079418 seconds
% 0.18/0.44 % CPU time: 0.431992 seconds
% 0.18/0.44 % Total memory used: 47.637 MB
% 0.18/0.44 % Net memory used: 46.744 MB
%------------------------------------------------------------------------------