TSTP Solution File: GRP088-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP088-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:19:11 EDT 2024
% Result : Unsatisfiable 0.17s 0.38s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 8
% Syntax : Number of formulae : 80 ( 57 unt; 0 def)
% Number of atoms : 109 ( 76 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 24 ~; 25 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 130 ( 130 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : divide(X,divide(Y,divide(Z,divide(X,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,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(f5,plain,
! [X0,X1,X2] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f6,plain,
! [X0,X1,X2] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f8,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)],[f4]) ).
fof(f9,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(split_symbol_definition) ).
fof(f11,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f9]) ).
fof(f12,plain,
( spl0_1
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f14,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f12]) ).
fof(f15,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f17,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f15]) ).
fof(f18,plain,
( spl0_3
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(split_symbol_definition) ).
fof(f20,plain,
( multiply(a4,b4) != multiply(b4,a4)
| spl0_3 ),
inference(component_clause,[status(thm)],[f18]) ).
fof(f21,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f8,f9,f12,f15,f18]) ).
fof(f22,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f7,f6]) ).
fof(f24,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f7,f22]) ).
fof(f26,plain,
! [X0,X1] : inverse(X0) = divide(multiply(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f22,f7]) ).
fof(f188,plain,
! [X0,X1,X2] : inverse(divide(X0,divide(X1,divide(multiply(inverse(X2),X2),X0)))) = X1,
inference(paramodulation,[status(thm)],[f26,f5]) ).
fof(f189,plain,
! [X0,X1] : inverse(divide(X0,divide(X1,inverse(X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f26,f188]) ).
fof(f190,plain,
! [X0,X1] : inverse(divide(X0,multiply(X1,X0))) = X1,
inference(forward_demodulation,[status(thm)],[f22,f189]) ).
fof(f244,plain,
! [X0,X1,X2] : divide(X0,inverse(divide(X1,divide(X0,divide(X2,X2))))) = X1,
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f245,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,divide(X0,divide(X2,X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f22,f244]) ).
fof(f298,plain,
! [X0,X1,X2] : divide(X0,divide(inverse(X1),divide(X2,multiply(X0,X1)))) = X2,
inference(paramodulation,[status(thm)],[f22,f5]) ).
fof(f351,plain,
! [X0,X1] : inverse(divide(X0,inverse(inverse(X0)))) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f24,f190]) ).
fof(f352,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X0))) = divide(X1,X1),
inference(forward_demodulation,[status(thm)],[f22,f351]) ).
fof(f368,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f352,f352]) ).
fof(f415,plain,
! [X0,X1,X2] : divide(X0,divide(X1,inverse(multiply(X2,inverse(X2))))) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f352,f5]) ).
fof(f416,plain,
! [X0,X1,X2] : divide(X0,multiply(X1,multiply(X2,inverse(X2)))) = divide(X0,X1),
inference(forward_demodulation,[status(thm)],[f22,f415]) ).
fof(f418,plain,
! [X0,X1,X2] : divide(X0,divide(X0,divide(X1,inverse(multiply(X2,inverse(X2)))))) = X1,
inference(paramodulation,[status(thm)],[f352,f5]) ).
fof(f419,plain,
! [X0,X1,X2] : divide(X0,divide(X0,multiply(X1,multiply(X2,inverse(X2))))) = X1,
inference(forward_demodulation,[status(thm)],[f22,f418]) ).
fof(f420,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f416,f419]) ).
fof(f469,plain,
! [X0,X1,X2] : divide(X0,divide(X1,divide(X2,X2))) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f368,f5]) ).
fof(f509,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(backward_demodulation,[status(thm)],[f469,f245]) ).
fof(f521,plain,
! [X0,X1] : inverse(divide(multiply(inverse(X0),X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f26,f420]) ).
fof(f522,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f26,f521]) ).
fof(f563,plain,
! [X0,X1] : divide(X0,multiply(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f22,f420]) ).
fof(f727,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f190,f522]) ).
fof(f731,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f522,f22]) ).
fof(f787,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(paramodulation,[status(thm)],[f420,f509]) ).
fof(f788,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f22,f509]) ).
fof(f829,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f22,f787]) ).
fof(f830,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f731,f829]) ).
fof(f843,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f830,f509]) ).
fof(f844,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f830,f420]) ).
fof(f845,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f20,f843]) ).
fof(f846,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f845]) ).
fof(f847,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f843,f17]) ).
fof(f1085,plain,
! [X0,X1,X2] : divide(X0,divide(inverse(X1),X2)) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f844,f298]) ).
fof(f1117,plain,
! [X0,X1,X2] : divide(X0,divide(inverse(X1),divide(X2,multiply(X1,X0)))) = X2,
inference(paramodulation,[status(thm)],[f843,f298]) ).
fof(f1118,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),divide(X2,multiply(X1,X0))) = X2,
inference(forward_demodulation,[status(thm)],[f1085,f1117]) ).
fof(f1143,plain,
! [X0,X1] : multiply(inverse(X0),X1) = divide(X1,X0),
inference(paramodulation,[status(thm)],[f787,f788]) ).
fof(f1182,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(paramodulation,[status(thm)],[f509,f563]) ).
fof(f1361,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X0,divide(X2,X1)),
inference(paramodulation,[status(thm)],[f1182,f731]) ).
fof(f1368,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),divide(multiply(X1,X0),X2)) = X2,
inference(backward_demodulation,[status(thm)],[f1361,f1118]) ).
fof(f1433,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X2),X1)),
inference(paramodulation,[status(thm)],[f22,f1361]) ).
fof(f1434,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f1085,f1433]) ).
fof(f1468,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),inverse(X2)) = multiply(X2,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f727,f1368]) ).
fof(f1469,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X2,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f22,f1468]) ).
fof(f1470,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[status(thm)],[f1434,f1469]) ).
fof(f1471,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),inverse(X2)) = multiply(multiply(X1,X0),X2),
inference(paramodulation,[status(thm)],[f563,f1368]) ).
fof(f1472,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(multiply(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f22,f1471]) ).
fof(f1473,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X2,X0),X1),
inference(forward_demodulation,[status(thm)],[f1434,f1472]) ).
fof(f1474,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f1434,f1473]) ).
fof(f1501,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f847,f1470]) ).
fof(f1502,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f1501]) ).
fof(f1504,plain,
( divide(a1,a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1143,f11]) ).
fof(f1505,plain,
( divide(a1,a1) != divide(b1,b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f1143,f1504]) ).
fof(f1506,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1505,f368]) ).
fof(f1507,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f1506]) ).
fof(f1511,plain,
( multiply(a2,multiply(inverse(b2),b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f843,f14]) ).
fof(f1512,plain,
( multiply(b2,multiply(inverse(b2),a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1474,f1511]) ).
fof(f1513,plain,
( multiply(b2,divide(a2,b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1143,f1512]) ).
fof(f1514,plain,
( divide(b2,divide(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1361,f1513]) ).
fof(f1515,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f420,f1514]) ).
fof(f1516,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f1515]) ).
fof(f1517,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f1516]) ).
fof(f1518,plain,
$false,
inference(sat_refutation,[status(thm)],[f21,f846,f1502,f1507,f1517]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP088-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.31 % Computer : n027.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Tue Apr 30 00:56:17 EDT 2024
% 0.12/0.31 % CPUTime :
% 0.17/0.32 % Drodi V3.6.0
% 0.17/0.38 % Refutation found
% 0.17/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.39 % Elapsed time: 0.081176 seconds
% 0.17/0.39 % CPU time: 0.548449 seconds
% 0.17/0.39 % Total memory used: 51.356 MB
% 0.17/0.39 % Net memory used: 50.270 MB
%------------------------------------------------------------------------------